%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO297+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 12:24:52 PM UTC 2026
% Result : Theorem 28.55s 4.05s
% Output : CNFRefutation 28.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 338
% Syntax : Number of formulae : 1247 ( 128 unt; 276 def)
% Number of atoms : 8050 ( 984 equ)
% Maximal formula atoms : 29 ( 6 avg)
% Number of connectives : 12236 (5433 ~;6053 |; 427 &)
% ( 284 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 290 ( 288 usr; 274 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 24 con; 0-3 aty)
% Number of variables : 2462 (2344 !; 118 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
vangle(vd1187,vd1185,vd1201) = v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
rline(vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869] :
( ( rpoint(Vd863)
& Vd862 = Vd863
& rpoint(Vd865)
& Vd864 = Vd865
& rpoint(Vd867)
& Vd866 = Vd867
& rline(Vd869)
& Vd868 = Vd869
& Vd862 != Vd864
& Vd862 != Vd866
& ron(Vd862,Vd868)
& ron(Vd864,Vd868) )
=> ( ( ron(Vd866,Vd868)
& ~ rR(Vd862,Vd864,Vd866) )
<=> vangle(Vd864,Vd862,Vd866) = v0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( vd1199 != vd1185
=> ( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( vd1199 != vd1185
=> ~ rR(vd1185,vd1199,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( vd1199 != vd1185
=> ~ rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
? [Vd1205] :
( rpoint(Vd1205)
& vd1201 = Vd1205 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
? [Vd1204] :
( rpoint(Vd1204)
& vd1200 = Vd1204 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
? [Vd1203] :
( rpoint(Vd1203)
& vd1199 = Vd1203 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [Vd217,Vd218] :
( ( ? [Vd220] :
( rpoint(Vd220)
& Vd217 = Vd220 )
& ? [Vd221] :
( rpoint(Vd221)
& Vd218 = Vd221 )
& Vd217 != Vd218 )
=> ? [Vd223] :
( rline(Vd223)
& ron(Vd217,Vd223)
& ron(Vd218,Vd223) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
rS(vd1200,vd1187,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ rS(vd1186,vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
ron(vd1200,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
rline(vd1234),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [Vd854,Vd855,Vd859,Vd860] :
( ( ? [Vd857] :
( rpoint(Vd857)
& Vd854 = Vd857 )
& ? [Vd858] :
( rpoint(Vd858)
& Vd855 = Vd858 )
& rcenter(Vd859,Vd860)
& ron(Vd855,Vd860) )
=> ( rless(vf(Vd859,Vd854),vf(Vd859,Vd855))
<=> rinside(Vd854,Vd860) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [Vd748,Vd749] :
( ( ? [Vd751] :
( rpoint(Vd751)
& Vd748 = Vd751 )
& ? [Vd752] :
( rpoint(Vd752)
& Vd749 = Vd752 ) )
=> ( vf(Vd748,Vd749) = v0
<=> Vd748 = Vd749 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [Vd847,Vd848,Vd849,Vd850,Vd851,Vd852] :
( ( rpoint(Vd848)
& Vd847 = Vd848
& rcenter(Vd849,Vd850)
& rpoint(Vd852)
& Vd851 = Vd852
& ron(Vd851,Vd850) )
=> ( vf(Vd849,Vd847) = vf(Vd849,Vd851)
<=> ron(Vd847,Vd850) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [Vd741,Vd742] :
( ( ? [Vd744] :
( rpoint(Vd744)
& Vd741 = Vd744 )
& ? [Vd745] :
( rpoint(Vd745)
& Vd742 = Vd745 ) )
=> ? [Vd747] :
( rreal(Vd747)
& vf(Vd741,Vd742) = Vd747 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
! [Vd691,Vd692] :
( ( rreal(Vd692)
& Vd691 = Vd692 )
=> vplus(Vd691,v0) = Vd691 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
rreal(vd684),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [Vd666,Vd667,Vd671,Vd672] :
( ( ? [Vd669] :
( rpoint(Vd669)
& Vd666 = Vd669 )
& ? [Vd670] :
( rpoint(Vd670)
& Vd667 = Vd670 )
& ? [Vd674] :
( rcircle(Vd674)
& Vd671 = Vd674 )
& ? [Vd675] :
( rcircle(Vd675)
& Vd672 = Vd675 )
& ron(Vd666,Vd671)
& ( rinside(Vd667,Vd671)
| ron(Vd667,Vd671) )
& rinside(Vd666,Vd672)
& ~ ron(Vd667,Vd672)
& ~ rinside(Vd667,Vd672) )
=> rintersect(Vd671,Vd672) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [Vd336,Vd337,Vd338,Vd339] :
( ( rpoint(Vd337)
& Vd336 = Vd337
& rcircle(Vd339)
& Vd338 = Vd339
& rinside(Vd336,Vd338) )
=> ~ ron(Vd336,Vd338) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [Vd837,Vd838,Vd842,Vd843,Vd844] :
( ( ? [Vd840] :
( rpoint(Vd840)
& Vd837 = Vd840 )
& ? [Vd841] :
( rpoint(Vd841)
& Vd838 = Vd841 )
& rcenter(Vd842,Vd843)
& rcenter(Vd842,Vd844)
& ron(Vd837,Vd843)
& ron(Vd838,Vd844)
& vf(Vd842,Vd837) = vf(Vd842,Vd838) )
=> Vd843 = Vd844 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [Vd699,Vd700,Vd701,Vd702] :
( ( rreal(Vd700)
& Vd699 = Vd700
& rreal(Vd702)
& Vd701 = Vd702 )
=> ( rless(Vd701,Vd699)
| Vd699 = Vd701
| rless(Vd699,Vd701) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f89,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f90,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [Vd420,Vd421,Vd422,Vd423] :
( ( rpoint(Vd421)
& Vd420 = Vd421
& rline(Vd423)
& Vd422 = Vd423
& ~ ron(Vd420,Vd422) )
=> rS(Vd420,Vd420,Vd422) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,axiom,
! [Vd334,Vd335] :
( rcenter(Vd334,Vd335)
=> rinside(Vd334,Vd335) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,axiom,
! [Vd185,Vd186,Vd187,Vd188] :
( ( rline(Vd186)
& Vd185 = Vd186
& rpoint(Vd188)
& ~ ron(Vd187,Vd185)
& Vd187 = Vd188 )
=> ? [Vd189] :
( rpoint(Vd189)
& ~ rS(Vd189,Vd187,Vd185) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,axiom,
! [Vd52,Vd53] :
( ( rline(Vd53)
& Vd52 = Vd53 )
=> ? [Vd54] :
( rpoint(Vd54)
& ron(Vd54,Vd52) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,axiom,
! [Vd755,Vd756] :
( ( ? [Vd758] :
( rpoint(Vd758)
& Vd755 = Vd758 )
& ? [Vd759] :
( rpoint(Vd759)
& Vd756 = Vd759 ) )
=> rleq(v0,vf(Vd755,Vd756)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f154,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f159,plain,
vangle(vd1187,vd1185,vd1201) = v0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f160,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f163,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f164,plain,
rline(vd1232),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f166,plain,
vd1199 = vd1185,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f167,plain,
vd1200 = vd1186,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f168,plain,
! [Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869] :
( ( ( ron(Vd866,Vd868)
& ~ rR(Vd862,Vd864,Vd866) )
<=> vangle(Vd864,Vd862,Vd866) = v0 )
| ~ rpoint(Vd863)
| Vd862 != Vd863
| ~ rpoint(Vd865)
| Vd864 != Vd865
| ~ rpoint(Vd867)
| Vd866 != Vd867
| ~ rline(Vd869)
| Vd868 != Vd869
| Vd862 = Vd864
| Vd862 = Vd866
| ~ ron(Vd862,Vd868)
| ~ ron(Vd864,Vd868) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f169,plain,
! [Vd862,Vd863,Vd864,Vd865,Vd866,Vd867,Vd868,Vd869] :
( ( ( vangle(Vd864,Vd862,Vd866) != v0
| ( ron(Vd866,Vd868)
& ~ rR(Vd862,Vd864,Vd866) ) )
& ( vangle(Vd864,Vd862,Vd866) = v0
| ~ ron(Vd866,Vd868)
| rR(Vd862,Vd864,Vd866) ) )
| ~ rpoint(Vd863)
| Vd862 != Vd863
| ~ rpoint(Vd865)
| Vd864 != Vd865
| ~ rpoint(Vd867)
| Vd866 != Vd867
| ~ rline(Vd869)
| Vd868 != Vd869
| Vd862 = Vd864
| Vd862 = Vd866
| ~ ron(Vd862,Vd868)
| ~ ron(Vd864,Vd868) ),
inference(NNF_transformation,[status(thm)],[f168]) ).
fof(f170,plain,
! [Vd862,Vd864,Vd866,Vd868] :
( ( ( vangle(Vd864,Vd862,Vd866) != v0
| ( ron(Vd866,Vd868)
& ~ rR(Vd862,Vd864,Vd866) ) )
& ( vangle(Vd864,Vd862,Vd866) = v0
| ~ ron(Vd866,Vd868)
| rR(Vd862,Vd864,Vd866) ) )
| ! [Vd863] :
( ~ rpoint(Vd863)
| Vd862 != Vd863
| ! [Vd865] :
( ~ rpoint(Vd865)
| Vd864 != Vd865
| ! [Vd867] :
( ~ rpoint(Vd867)
| Vd866 != Vd867
| ! [Vd869] :
( ~ rline(Vd869)
| Vd868 != Vd869
| Vd862 = Vd864
| Vd862 = Vd866
| ~ ron(Vd862,Vd868)
| ~ ron(Vd864,Vd868) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f169]) ).
fof(f173,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vangle(X0,X2,X3) != v0
| ron(X3,X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X5)
| X3 != X5
| ~ rline(X4)
| X1 != X4
| X2 = X0
| X2 = X3
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f170]) ).
fof(f175,plain,
( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f176,plain,
( rR(vd1199,vd1185,vd1186)
| rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(cnf_transformation,[status(thm)],[f175]) ).
fof(f177,plain,
( ~ rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f178,plain,
( ~ rR(vd1185,vd1199,vd1186)
| vd1199 = vd1185 ),
inference(cnf_transformation,[status(thm)],[f177]) ).
fof(f179,plain,
( ~ rR(vd1199,vd1185,vd1186)
| vd1199 = vd1185 ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f180,plain,
( ~ rR(vd1199,vd1185,vd1186)
| vd1199 = vd1185 ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f184,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)],[f20]) ).
fof(f185,plain,
( rpoint(sK5_skl)
& vd1178 = sK5_skl
& rpoint(sK4_skl)
& vd1179 = sK4_skl
& rpoint(sK3_skl)
& vd1180 = sK3_skl
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK2_skl)
& vd1185 = sK2_skl
& rpoint(sK1_skl)
& vd1186 = sK1_skl
& rpoint(sK0_skl)
& vd1187 = sK0_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,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(Vd1191,sK0_skl),skolemize(Vd1190,sK1_skl),skolemize(Vd1189,sK2_skl),skolemize(Vd1184,sK3_skl),skolemize(Vd1183,sK4_skl),skolemize(Vd1182,sK5_skl)],[f184]) ).
fof(f190,plain,
vd1187 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f191,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f192,plain,
vd1186 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f194,plain,
vd1185 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f196,plain,
vd1179 != vd1180,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f197,plain,
vd1178 != vd1180,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f198,plain,
vd1178 != vd1179,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f199,plain,
vd1180 = sK3_skl,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f200,plain,
rpoint(sK3_skl),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f201,plain,
vd1179 = sK4_skl,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f202,plain,
rpoint(sK4_skl),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f203,plain,
vd1178 = sK5_skl,
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f204,plain,
rpoint(sK5_skl),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f206,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f207,plain,
rS(vd1201,vd1187,vd1197),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f211,plain,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f215,plain,
( rpoint(sK6_skl)
& vd1201 = sK6_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Vd1205,sK6_skl)],[f31]) ).
fof(f216,plain,
vd1201 = sK6_skl,
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f217,plain,
rpoint(sK6_skl),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f218,plain,
( rpoint(sK7_skl)
& vd1200 = sK7_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Vd1204,sK7_skl)],[f32]) ).
fof(f219,plain,
vd1200 = sK7_skl,
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f220,plain,
rpoint(sK7_skl),
inference(cnf_transformation,[status(thm)],[f218]) ).
fof(f221,plain,
( rpoint(sK8_skl)
& vd1199 = sK8_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Vd1203,sK8_skl)],[f33]) ).
fof(f222,plain,
vd1199 = sK8_skl,
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f223,plain,
rpoint(sK8_skl),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f224,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f225,plain,
! [Vd217,Vd218] :
( ? [Vd223] :
( rline(Vd223)
& ron(Vd217,Vd223)
& ron(Vd218,Vd223) )
| ! [Vd220] :
( ~ rpoint(Vd220)
| Vd217 != Vd220 )
| ! [Vd221] :
( ~ rpoint(Vd221)
| Vd218 != Vd221 )
| Vd217 = Vd218 ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f226,plain,
! [Vd217,Vd218] :
( ( rline(sK9_skl(Vd218,Vd217))
& ron(Vd217,sK9_skl(Vd218,Vd217))
& ron(Vd218,sK9_skl(Vd218,Vd217)) )
| ! [Vd220] :
( ~ rpoint(Vd220)
| Vd217 != Vd220 )
| ! [Vd221] :
( ~ rpoint(Vd221)
| Vd218 != Vd221 )
| Vd217 = Vd218 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(Vd223,sK9_skl(Vd218,Vd217))],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( ron(X1,sK9_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f228,plain,
! [X0,X1,X2,X3] :
( ron(X0,sK9_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f229,plain,
! [X0,X1,X2,X3] :
( rline(sK9_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f230,plain,
rS(vd1200,vd1187,vd1234),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f231,plain,
~ rS(vd1186,vd1201,vd1232),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f232,plain,
ron(vd1200,vd1197),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f235,plain,
rline(vd1197),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f236,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f237,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f239,plain,
rline(vd1234),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f248,plain,
! [Vd854,Vd855,Vd859,Vd860] :
( ( rless(vf(Vd859,Vd854),vf(Vd859,Vd855))
<=> rinside(Vd854,Vd860) )
| ! [Vd857] :
( ~ rpoint(Vd857)
| Vd854 != Vd857 )
| ! [Vd858] :
( ~ rpoint(Vd858)
| Vd855 != Vd858 )
| ~ rcenter(Vd859,Vd860)
| ~ ron(Vd855,Vd860) ),
inference(pre_NNF_transformation,[status(thm)],[f50]) ).
fof(f249,plain,
! [Vd854,Vd855,Vd859,Vd860] :
( ( ( ~ rinside(Vd854,Vd860)
| rless(vf(Vd859,Vd854),vf(Vd859,Vd855)) )
& ( rinside(Vd854,Vd860)
| ~ rless(vf(Vd859,Vd854),vf(Vd859,Vd855)) ) )
| ! [Vd857] :
( ~ rpoint(Vd857)
| Vd854 != Vd857 )
| ! [Vd858] :
( ~ rpoint(Vd858)
| Vd855 != Vd858 )
| ~ rcenter(Vd859,Vd860)
| ~ ron(Vd855,Vd860) ),
inference(NNF_transformation,[status(thm)],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3,X4,X5] :
( rinside(X4,X1)
| ~ rless(vf(X2,X4),vf(X2,X0))
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X3)
| X0 != X3
| ~ rcenter(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f251,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rinside(X4,X1)
| rless(vf(X2,X4),vf(X2,X0))
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X3)
| X0 != X3
| ~ rcenter(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f249]) ).
fof(f252,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f253,plain,
! [Vd748,Vd749] :
( ( vf(Vd748,Vd749) = v0
<=> Vd748 = Vd749 )
| ! [Vd751] :
( ~ rpoint(Vd751)
| Vd748 != Vd751 )
| ! [Vd752] :
( ~ rpoint(Vd752)
| Vd749 != Vd752 ) ),
inference(pre_NNF_transformation,[status(thm)],[f52]) ).
fof(f254,plain,
! [Vd748,Vd749] :
( ( ( Vd748 != Vd749
| vf(Vd748,Vd749) = v0 )
& ( Vd748 = Vd749
| vf(Vd748,Vd749) != v0 ) )
| ! [Vd751] :
( ~ rpoint(Vd751)
| Vd748 != Vd751 )
| ! [Vd752] :
( ~ rpoint(Vd752)
| Vd749 != Vd752 ) ),
inference(NNF_transformation,[status(thm)],[f253]) ).
fof(f255,plain,
! [X0,X1,X2,X3] :
( X2 = X0
| vf(X2,X0) != v0
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f257,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)],[f53]) ).
fof(f258,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)],[f257]) ).
fof(f259,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)],[f258]) ).
fof(f269,plain,
! [Vd847,Vd848,Vd849,Vd850,Vd851,Vd852] :
( ( vf(Vd849,Vd847) = vf(Vd849,Vd851)
<=> ron(Vd847,Vd850) )
| ~ rpoint(Vd848)
| Vd847 != Vd848
| ~ rcenter(Vd849,Vd850)
| ~ rpoint(Vd852)
| Vd851 != Vd852
| ~ ron(Vd851,Vd850) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f270,plain,
! [Vd847,Vd848,Vd849,Vd850,Vd851,Vd852] :
( ( ( ~ ron(Vd847,Vd850)
| vf(Vd849,Vd847) = vf(Vd849,Vd851) )
& ( ron(Vd847,Vd850)
| vf(Vd849,Vd847) != vf(Vd849,Vd851) ) )
| ~ rpoint(Vd848)
| Vd847 != Vd848
| ~ rcenter(Vd849,Vd850)
| ~ rpoint(Vd852)
| Vd851 != Vd852
| ~ ron(Vd851,Vd850) ),
inference(NNF_transformation,[status(thm)],[f269]) ).
fof(f271,plain,
! [Vd847,Vd849,Vd850,Vd851] :
( ( ( ~ ron(Vd847,Vd850)
| vf(Vd849,Vd847) = vf(Vd849,Vd851) )
& ( ron(Vd847,Vd850)
| vf(Vd849,Vd847) != vf(Vd849,Vd851) ) )
| ! [Vd848] :
( ~ rpoint(Vd848)
| Vd847 != Vd848
| ~ rcenter(Vd849,Vd850)
| ! [Vd852] :
( ~ rpoint(Vd852)
| Vd851 != Vd852
| ~ ron(Vd851,Vd850) ) ) ),
inference(miniscoping,[status(thm)],[f270]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5] :
( ron(X4,X1)
| vf(X3,X4) != vf(X3,X0)
| ~ rpoint(X5)
| X4 != X5
| ~ rcenter(X3,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ron(X4,X1)
| vf(X3,X4) = vf(X3,X0)
| ~ rpoint(X5)
| X4 != X5
| ~ rcenter(X3,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f271]) ).
fof(f276,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)],[f60]) ).
fof(f277,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))],[f276]) ).
fof(f278,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)],[f277]) ).
fof(f279,plain,
! [X0,X1,X2,X3] :
( rreal(sK10_skl(X0,X2))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f277]) ).
fof(f280,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)],[f61]) ).
fof(f281,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)],[f280]) ).
fof(f282,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)],[f281]) ).
fof(f286,plain,
! [Vd691,Vd692] :
( vplus(Vd691,v0) = Vd691
| ~ rreal(Vd692)
| Vd691 != Vd692 ),
inference(pre_NNF_transformation,[status(thm)],[f63]) ).
fof(f287,plain,
! [Vd691] :
( vplus(Vd691,v0) = Vd691
| ! [Vd692] :
( ~ rreal(Vd692)
| Vd691 != Vd692 ) ),
inference(miniscoping,[status(thm)],[f286]) ).
fof(f288,plain,
! [X0,X1] :
( vplus(X0,v0) = X0
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f287]) ).
fof(f289,plain,
v0 = vd684,
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f290,plain,
rreal(vd684),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f291,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)],[f66]) ).
fof(f292,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)],[f291]) ).
fof(f293,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)],[f292]) ).
fof(f294,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)],[f67]) ).
fof(f295,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)],[f294]) ).
fof(f296,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)],[f295]) ).
fof(f297,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)],[f68]) ).
fof(f298,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)],[f297]) ).
fof(f299,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)],[f69]) ).
fof(f300,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)],[f299]) ).
fof(f301,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)],[f300]) ).
fof(f302,plain,
! [Vd666,Vd667,Vd671,Vd672] :
( rintersect(Vd671,Vd672)
| ! [Vd669] :
( ~ rpoint(Vd669)
| Vd666 != Vd669 )
| ! [Vd670] :
( ~ rpoint(Vd670)
| Vd667 != Vd670 )
| ! [Vd674] :
( ~ rcircle(Vd674)
| Vd671 != Vd674 )
| ! [Vd675] :
( ~ rcircle(Vd675)
| Vd672 != Vd675 )
| ~ ron(Vd666,Vd671)
| ( ~ rinside(Vd667,Vd671)
& ~ ron(Vd667,Vd671) )
| ~ rinside(Vd666,Vd672)
| ron(Vd667,Vd672)
| rinside(Vd667,Vd672) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f303,plain,
! [Vd671,Vd672] :
( rintersect(Vd671,Vd672)
| ! [Vd666] :
( ! [Vd669] :
( ~ rpoint(Vd669)
| Vd666 != Vd669 )
| ! [Vd667] :
( ! [Vd670] :
( ~ rpoint(Vd670)
| Vd667 != Vd670 )
| ! [Vd674] :
( ~ rcircle(Vd674)
| Vd671 != Vd674 )
| ! [Vd675] :
( ~ rcircle(Vd675)
| Vd672 != Vd675 )
| ~ ron(Vd666,Vd671)
| ( ~ rinside(Vd667,Vd671)
& ~ ron(Vd667,Vd671) )
| ~ rinside(Vd666,Vd672)
| ron(Vd667,Vd672)
| rinside(Vd667,Vd672) ) ) ),
inference(miniscoping,[status(thm)],[f302]) ).
fof(f304,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rintersect(X3,X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X0 != X6
| ~ rcircle(X5)
| X3 != X5
| ~ rcircle(X4)
| X1 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rinside(X2,X1)
| ron(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f305,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rintersect(X3,X1)
| ~ rpoint(X7)
| X2 != X7
| ~ rpoint(X6)
| X0 != X6
| ~ rcircle(X5)
| X3 != X5
| ~ rcircle(X4)
| X1 != X4
| ~ ron(X2,X3)
| ~ rinside(X0,X3)
| ~ rinside(X2,X1)
| ron(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f303]) ).
fof(f311,plain,
! [Vd336,Vd337,Vd338,Vd339] :
( ~ ron(Vd336,Vd338)
| ~ rpoint(Vd337)
| Vd336 != Vd337
| ~ rcircle(Vd339)
| Vd338 != Vd339
| ~ rinside(Vd336,Vd338) ),
inference(pre_NNF_transformation,[status(thm)],[f72]) ).
fof(f312,plain,
! [Vd336,Vd338] :
( ~ ron(Vd336,Vd338)
| ! [Vd337] :
( ~ rpoint(Vd337)
| Vd336 != Vd337
| ! [Vd339] :
( ~ rcircle(Vd339)
| Vd338 != Vd339
| ~ rinside(Vd336,Vd338) ) ) ),
inference(miniscoping,[status(thm)],[f311]) ).
fof(f313,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rcircle(X2)
| X1 != X2
| ~ rinside(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f331,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)],[f75]) ).
fof(f332,plain,
! [Vd225,Vd226] :
( ( rcircle(sK14_skl(Vd226,Vd225))
& rcenter(Vd225,sK14_skl(Vd226,Vd225))
& ron(Vd226,sK14_skl(Vd226,Vd225)) )
| ! [Vd229] :
( ~ rpoint(Vd229)
| Vd225 != Vd229 )
| ! [Vd230] :
( ~ rpoint(Vd230)
| Vd226 != Vd230 )
| Vd225 = Vd226 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(Vd231,sK14_skl(Vd226,Vd225))],[f331]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( ron(X1,sK14_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( rcenter(X0,sK14_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f335,plain,
! [X0,X1,X2,X3] :
( rcircle(sK14_skl(X1,X0))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f340,plain,
! [Vd837,Vd838,Vd842,Vd843,Vd844] :
( Vd843 = Vd844
| ! [Vd840] :
( ~ rpoint(Vd840)
| Vd837 != Vd840 )
| ! [Vd841] :
( ~ rpoint(Vd841)
| Vd838 != Vd841 )
| ~ rcenter(Vd842,Vd843)
| ~ rcenter(Vd842,Vd844)
| ~ ron(Vd837,Vd843)
| ~ ron(Vd838,Vd844)
| vf(Vd842,Vd837) != vf(Vd842,Vd838) ),
inference(pre_NNF_transformation,[status(thm)],[f78]) ).
fof(f341,plain,
! [Vd843,Vd844] :
( Vd843 = Vd844
| ! [Vd837] :
( ! [Vd840] :
( ~ rpoint(Vd840)
| Vd837 != Vd840 )
| ! [Vd838] :
( ! [Vd841] :
( ~ rpoint(Vd841)
| Vd838 != Vd841 )
| ! [Vd842] :
( ~ rcenter(Vd842,Vd843)
| ~ rcenter(Vd842,Vd844)
| ~ ron(Vd837,Vd843)
| ~ ron(Vd838,Vd844)
| vf(Vd842,Vd837) != vf(Vd842,Vd838) ) ) ) ),
inference(miniscoping,[status(thm)],[f340]) ).
fof(f342,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( X4 = X3
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rcenter(X0,X4)
| ~ rcenter(X0,X3)
| ~ ron(X1,X4)
| ~ ron(X2,X3)
| vf(X0,X1) != vf(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f341]) ).
fof(f355,plain,
! [Vd699,Vd700,Vd701,Vd702] :
( rless(Vd701,Vd699)
| Vd699 = Vd701
| rless(Vd699,Vd701)
| ~ rreal(Vd700)
| Vd699 != Vd700
| ~ rreal(Vd702)
| Vd701 != Vd702 ),
inference(pre_NNF_transformation,[status(thm)],[f83]) ).
fof(f356,plain,
! [Vd699,Vd701] :
( rless(Vd701,Vd699)
| Vd699 = Vd701
| rless(Vd699,Vd701)
| ! [Vd700] :
( ~ rreal(Vd700)
| Vd699 != Vd700
| ! [Vd702] :
( ~ rreal(Vd702)
| Vd701 != Vd702 ) ) ),
inference(miniscoping,[status(thm)],[f355]) ).
fof(f357,plain,
! [X0,X1,X2,X3] :
( rless(X0,X2)
| X2 = X0
| rless(X2,X0)
| ~ rreal(X3)
| X2 != X3
| ~ rreal(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f363,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)],[f85]) ).
fof(f364,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)],[f363]) ).
fof(f365,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)],[f364]) ).
fof(f366,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)],[f86]) ).
fof(f367,definition,
! [Vd648,Vd652] :
( sP0_prd(Vd652,Vd648)
<=> ( ~ rinside(Vd648,Vd652)
& ~ ron(Vd648,Vd652) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f368,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)],[f366,f367]) ).
fof(f369,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)],[f368]) ).
fof(f370,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))],[f369]) ).
fof(f371,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)],[f370]) ).
fof(f372,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)],[f370]) ).
fof(f373,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)],[f87]) ).
fof(f374,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)],[f373]) ).
fof(f375,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)],[f374]) ).
fof(f376,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)],[f88]) ).
fof(f377,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)],[f376]) ).
fof(f378,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)],[f377]) ).
fof(f379,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)],[f89]) ).
fof(f380,definition,
! [Vd606,Vd613] :
( sP1_prd(Vd613,Vd606)
<=> ( ~ rinside(Vd606,Vd613)
& ~ ron(Vd606,Vd613) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f385,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)],[f90]) ).
fof(f386,definition,
! [Vd595,Vd603] :
( sP2_prd(Vd603,Vd595)
<=> ( ~ rinside(Vd595,Vd603)
& ~ ron(Vd595,Vd603) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f387,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)],[f385,f386]) ).
fof(f388,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)],[f387]) ).
fof(f389,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)],[f388]) ).
fof(f390,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)],[f388]) ).
fof(f394,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)],[f92]) ).
fof(f395,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)],[f394]) ).
fof(f396,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)],[f395]) ).
fof(f397,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)],[f93]) ).
fof(f398,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)],[f397]) ).
fof(f399,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)],[f398]) ).
fof(f400,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)],[f94]) ).
fof(f401,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)],[f400]) ).
fof(f402,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)],[f401]) ).
fof(f415,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)],[f99]) ).
fof(f416,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)],[f415]) ).
fof(f417,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)],[f416]) ).
fof(f418,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)],[f100]) ).
fof(f419,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)],[f418]) ).
fof(f420,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)],[f419]) ).
fof(f421,plain,
! [Vd420,Vd421,Vd422,Vd423] :
( rS(Vd420,Vd420,Vd422)
| ~ rpoint(Vd421)
| Vd420 != Vd421
| ~ rline(Vd423)
| Vd422 != Vd423
| ron(Vd420,Vd422) ),
inference(pre_NNF_transformation,[status(thm)],[f101]) ).
fof(f422,plain,
! [Vd420,Vd422] :
( rS(Vd420,Vd420,Vd422)
| ! [Vd421] :
( ~ rpoint(Vd421)
| Vd420 != Vd421
| ! [Vd423] :
( ~ rline(Vd423)
| Vd422 != Vd423
| ron(Vd420,Vd422) ) ) ),
inference(miniscoping,[status(thm)],[f421]) ).
fof(f423,plain,
! [X0,X1,X2,X3] :
( rS(X0,X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rline(X2)
| X1 != X2
| ron(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f439,plain,
! [Vd334,Vd335] :
( rinside(Vd334,Vd335)
| ~ rcenter(Vd334,Vd335) ),
inference(pre_NNF_transformation,[status(thm)],[f107]) ).
fof(f440,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f439]) ).
fof(f522,plain,
! [Vd185,Vd186,Vd187,Vd188] :
( ? [Vd189] :
( rpoint(Vd189)
& ~ rS(Vd189,Vd187,Vd185) )
| ~ rline(Vd186)
| Vd185 != Vd186
| ~ rpoint(Vd188)
| ron(Vd187,Vd185)
| Vd187 != Vd188 ),
inference(pre_NNF_transformation,[status(thm)],[f121]) ).
fof(f523,plain,
! [Vd185,Vd187] :
( ? [Vd189] :
( rpoint(Vd189)
& ~ rS(Vd189,Vd187,Vd185) )
| ! [Vd186] :
( ~ rline(Vd186)
| Vd185 != Vd186
| ! [Vd188] :
( ~ rpoint(Vd188)
| ron(Vd187,Vd185)
| Vd187 != Vd188 ) ) ),
inference(miniscoping,[status(thm)],[f522]) ).
fof(f524,plain,
! [Vd185,Vd187] :
( ( rpoint(sK31_skl(Vd187,Vd185))
& ~ rS(sK31_skl(Vd187,Vd185),Vd187,Vd185) )
| ! [Vd186] :
( ~ rline(Vd186)
| Vd185 != Vd186
| ! [Vd188] :
( ~ rpoint(Vd188)
| ron(Vd187,Vd185)
| Vd187 != Vd188 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31_skl]),skolemize(Vd189,sK31_skl(Vd187,Vd185))],[f523]) ).
fof(f526,plain,
! [X0,X1,X2,X3] :
( rpoint(sK31_skl(X0,X2))
| ~ rline(X3)
| X2 != X3
| ~ rpoint(X1)
| ron(X0,X2)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f524]) ).
fof(f597,plain,
! [Vd52,Vd53] :
( ? [Vd54] :
( rpoint(Vd54)
& ron(Vd54,Vd52) )
| ~ rline(Vd53)
| Vd52 != Vd53 ),
inference(pre_NNF_transformation,[status(thm)],[f133]) ).
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(sK43_skl(Vd52))
& ron(sK43_skl(Vd52),Vd52) )
| ! [Vd53] :
( ~ rline(Vd53)
| Vd52 != Vd53 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl]),skolemize(Vd54,sK43_skl(Vd52))],[f598]) ).
fof(f601,plain,
! [X0,X1] :
( rpoint(sK43_skl(X0))
| ~ rline(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f599]) ).
fof(f663,plain,
! [Vd755,Vd756] :
( rleq(v0,vf(Vd755,Vd756))
| ! [Vd758] :
( ~ rpoint(Vd758)
| Vd755 != Vd758 )
| ! [Vd759] :
( ~ rpoint(Vd759)
| Vd756 != Vd759 ) ),
inference(pre_NNF_transformation,[status(thm)],[f147]) ).
fof(f664,plain,
! [X0,X1,X2,X3] :
( rleq(v0,vf(X2,X0))
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f690,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)],[f154]) ).
fof(f691,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)],[f690]) ).
fof(f692,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( rS(X10,X0,X4)
| ~ ron(X10,X6)
| ~ ron(X10,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)],[f691]) ).
fof(f693,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)],[f691]) ).
fof(f701,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)],[f367]) ).
fof(f702,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)],[f701]) ).
fof(f703,plain,
! [X0,X1] :
( ~ ron(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f705,plain,
! [X0,X1] :
( rinside(X1,X0)
| ron(X1,X0)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f706,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)],[f380]) ).
fof(f707,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)],[f706]) ).
fof(f708,plain,
! [X0,X1] :
( ~ ron(X1,X0)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f710,plain,
! [X0,X1] :
( rinside(X1,X0)
| ron(X1,X0)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f707]) ).
fof(f711,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)],[f386]) ).
fof(f712,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)],[f711]) ).
fof(f713,plain,
! [X0,X1] :
( ~ ron(X1,X0)
| ~ sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f715,plain,
! [X0,X1] :
( rinside(X1,X0)
| ron(X1,X0)
| sP2_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f712]) ).
fof(f734,definition,
( sQ0_spl
<=> vd1199 = vd1185 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ0_spl
| vd1199 = vd1185 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ1_spl
<=> rR(vd1185,vd1199,vd1186) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f740,definition,
( sQ2_spl
<=> rR(vd1199,vd1185,vd1186) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f743,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f176,f734,f737,f740]) ).
fof(f744,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f178,f734,f737]) ).
fof(f745,plain,
( ~ sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f180,f734,f740]) ).
fof(f747,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(f750,definition,
! [X3,X4] :
( sQ4_spl
<=> ( ~ rcircle(X4)
| X3 != X4 ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f751,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ rcircle(X1)
| X0 != X1 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f371,f747,f750]) ).
fof(f754,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(f757,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f372,f754,f750]) ).
fof(f758,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(f761,definition,
! [X5,X6] :
( sQ7_spl
<=> ( ~ rline(X6)
| X5 != X6 ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f762,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ rline(X1)
| X0 != X1 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f389,f758,f761]) ).
fof(f765,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(f768,plain,
( sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f390,f765,f761]) ).
fof(f769,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(f770,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ sQ9_spl
| rintersect(X6,X4)
| ~ rpoint(X13)
| X0 != X13
| ~ rpoint(X12)
| X1 != X12
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X3 != X10
| ~ 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(component_clause,[status(thm)],[f769]) ).
fof(f772,definition,
! [X10,X11] :
( sQ10_spl
<=> ( ~ rpoint(X11)
| X10 != X11 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f773,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ rpoint(X1)
| X0 != X1 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f693,f769,f772]) ).
fof(f778,plain,
! [X0,X1,X2,X3] :
( vangle(X0,X2,X3) != v0
| ron(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rline(X1)
| X2 = X0
| X2 = X3
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f173]) ).
fof(f779,plain,
! [X0,X1] :
( ron(X1,sK9_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f227]) ).
fof(f780,plain,
! [X0,X1] :
( ron(X0,sK9_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f228]) ).
fof(f781,plain,
! [X0,X1] :
( rline(sK9_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f229]) ).
fof(f785,plain,
! [X0,X1,X2,X3] :
( rinside(X3,X1)
| ~ rless(vf(X2,X3),vf(X2,X0))
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rcenter(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f250]) ).
fof(f786,plain,
! [X0,X1,X2,X3] :
( ~ rinside(X3,X1)
| rless(vf(X2,X3),vf(X2,X0))
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rcenter(X2,X1)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f251]) ).
fof(f787,plain,
! [X0,X1] :
( X1 = X0
| vf(X1,X0) != v0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f255]) ).
fof(f790,plain,
! [X0,X1,X2] :
( rS(X1,X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f259]) ).
fof(f795,plain,
! [X0,X1,X2,X3] :
( ron(X3,X1)
| vf(X2,X3) != vf(X2,X0)
| ~ rpoint(X3)
| ~ rcenter(X2,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f272]) ).
fof(f796,plain,
! [X0,X1,X2,X3] :
( ~ ron(X3,X1)
| vf(X2,X3) = vf(X2,X0)
| ~ rpoint(X3)
| ~ rcenter(X2,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f273]) ).
fof(f798,plain,
! [X0,X1] :
( vf(X1,X0) = sK10_skl(X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f278]) ).
fof(f799,plain,
! [X0,X1] :
( rreal(sK10_skl(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f279]) ).
fof(f800,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ rreal(X0)
| ~ rreal(X2)
| ~ rreal(X1)
| vplus(X0,X1) != vplus(X2,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f282]) ).
fof(f802,plain,
! [X0] :
( vplus(X0,v0) = X0
| ~ rreal(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f288]) ).
fof(f803,plain,
! [X0,X1,X2] :
( ~ ron(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| ~ rS(X0,X1,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f293]) ).
fof(f804,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)],[f296]) ).
fof(f805,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)],[f298]) ).
fof(f806,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)],[f301]) ).
fof(f807,plain,
! [X0,X1,X2,X3] :
( rintersect(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rcircle(X3)
| ~ rcircle(X1)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rinside(X2,X1)
| ron(X0,X1)
| rinside(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f304]) ).
fof(f808,plain,
! [X0,X1,X2,X3] :
( rintersect(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rcircle(X3)
| ~ rcircle(X1)
| ~ ron(X2,X3)
| ~ rinside(X0,X3)
| ~ rinside(X2,X1)
| ron(X0,X1)
| rinside(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f305]) ).
fof(f815,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ rpoint(X0)
| ~ rcircle(X1)
| ~ rinside(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f313]) ).
fof(f827,plain,
! [X0,X1] :
( ron(X1,sK14_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f333]) ).
fof(f828,plain,
! [X0,X1] :
( rcenter(X0,sK14_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f334]) ).
fof(f829,plain,
! [X0,X1] :
( rcircle(sK14_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f335]) ).
fof(f832,plain,
! [X0,X1,X2,X3,X4] :
( X4 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rcenter(X0,X4)
| ~ rcenter(X0,X3)
| ~ ron(X1,X4)
| ~ ron(X2,X3)
| vf(X0,X1) != vf(X0,X2) ),
inference(destructive_equality_resolution,[status(thm)],[f342]) ).
fof(f837,plain,
! [X0,X1] :
( rless(X0,X1)
| X1 = X0
| rless(X1,X0)
| ~ rreal(X1)
| ~ rreal(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f357]) ).
fof(f840,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)],[f365]) ).
fof(f841,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)],[f375]) ).
fof(f842,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)],[f378]) ).
fof(f846,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)],[f396]) ).
fof(f847,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)],[f399]) ).
fof(f848,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)],[f402]) ).
fof(f853,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)],[f417]) ).
fof(f854,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)],[f420]) ).
fof(f855,plain,
! [X0,X1] :
( rS(X0,X0,X1)
| ~ rpoint(X0)
| ~ rline(X1)
| ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f423]) ).
fof(f905,plain,
! [X0,X1] :
( rpoint(sK31_skl(X0,X1))
| ~ rline(X1)
| ~ rpoint(X0)
| ron(X0,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f526]) ).
fof(f944,plain,
! [X0] :
( rpoint(sK43_skl(X0))
| ~ rline(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f601]) ).
fof(f975,plain,
! [X0,X1] :
( rleq(v0,vf(X1,X0))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f664]) ).
fof(f987,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rS(X7,X0,X4)
| ~ ron(X7,X6)
| ~ ron(X7,X4)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X7)
| ~ rline(X6)
| ~ rline(X4)
| ~ rline(X5)
| ~ 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(destructive_equality_resolution,[status(thm)],[f692]) ).
fof(f994,plain,
! [X0] :
( ~ sQ7_spl
| ~ rline(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f762]) ).
fof(f995,plain,
! [X0] :
( ~ sQ4_spl
| ~ rcircle(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f751]) ).
fof(f996,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ9_spl
| rintersect(X6,X4)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X6)
| ~ rline(X4)
| ~ rline(X5)
| ~ 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(destructive_equality_resolution,[status(thm)],[f770]) ).
fof(f997,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f994]) ).
fof(f998,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f1002,plain,
vd1200 = sK1_skl,
inference(backward_demodulation,[status(thm)],[f192,f167]) ).
fof(f1003,plain,
sK2_skl = vd1185,
inference(backward_demodulation,[status(thm)],[f1004,f166]) ).
fof(f1004,plain,
vd1199 = sK2_skl,
inference(forward_demodulation,[status(thm)],[f166,f194]) ).
fof(f1005,plain,
vd1178 != sK3_skl,
inference(backward_demodulation,[status(thm)],[f199,f197]) ).
fof(f1006,plain,
vd1179 != sK3_skl,
inference(backward_demodulation,[status(thm)],[f199,f196]) ).
fof(f1007,plain,
vangle(sK0_skl,vd1185,vd1201) = v0,
inference(forward_demodulation,[status(thm)],[f190,f159]) ).
fof(f1008,plain,
ron(sK0_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f190,f160]) ).
fof(f1009,plain,
vd1178 != sK4_skl,
inference(backward_demodulation,[status(thm)],[f201,f198]) ).
fof(f1010,plain,
vangle(sK0_skl,vd1185,sK6_skl) = v0,
inference(backward_demodulation,[status(thm)],[f216,f1007]) ).
fof(f1013,plain,
sK2_skl = sK8_skl,
inference(forward_demodulation,[status(thm)],[f1004,f222]) ).
fof(f1023,plain,
( ~ sQ0_spl
| ron(vd1199,vd1232) ),
inference(backward_demodulation,[status(thm)],[f735,f163]) ).
fof(f1026,plain,
vd1186 = sK7_skl,
inference(backward_demodulation,[status(thm)],[f1027,f192]) ).
fof(f1027,plain,
sK7_skl = sK1_skl,
inference(forward_demodulation,[status(thm)],[f219,f1002]) ).
fof(f1028,plain,
sK8_skl = vd1185,
inference(forward_demodulation,[status(thm)],[f1013,f1003]) ).
fof(f1029,plain,
( ~ sQ0_spl
| sK8_skl = vd1185 ),
inference(backward_demodulation,[status(thm)],[f1031,f735]) ).
fof(f1031,plain,
( ~ sQ0_spl
| sK8_skl = vd1199 ),
inference(forward_demodulation,[status(thm)],[f735,f1028]) ).
fof(f1036,plain,
sK5_skl != sK3_skl,
inference(forward_demodulation,[status(thm)],[f203,f1005]) ).
fof(f1037,plain,
sK4_skl != sK3_skl,
inference(forward_demodulation,[status(thm)],[f201,f1006]) ).
fof(f1038,plain,
sK5_skl != sK4_skl,
inference(forward_demodulation,[status(thm)],[f203,f1009]) ).
fof(f1040,plain,
( ~ sQ0_spl
| ron(sK8_skl,vd1197) ),
inference(forward_demodulation,[status(thm)],[f1029,f206]) ).
fof(f1042,plain,
~ ron(sK0_skl,vd1197),
inference(forward_demodulation,[status(thm)],[f190,f224]) ).
fof(f1046,plain,
ron(sK7_skl,vd1197),
inference(forward_demodulation,[status(thm)],[f219,f232]) ).
fof(f1049,plain,
ron(sK6_skl,vd1234),
inference(forward_demodulation,[status(thm)],[f216,f237]) ).
fof(f1053,plain,
~ ron(sK6_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f216,f252]) ).
fof(f1054,plain,
( ~ sQ0_spl
| ron(sK8_skl,vd1232) ),
inference(forward_demodulation,[status(thm)],[f1031,f1023]) ).
fof(f1055,plain,
! [X0,X1,X2,X3] :
( vangle(X0,X2,X3) != vd684
| ron(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rline(X1)
| X2 = X0
| X2 = X3
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f289,f778]) ).
fof(f1075,definition,
( sQ12_spl
<=> sK5_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ12_spl
| sK5_skl = sK3_skl ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,definition,
( sQ13_spl
<=> sK5_skl = sK4_skl ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1079,plain,
( ~ sQ13_spl
| sK5_skl = sK4_skl ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,definition,
( sQ14_spl
<=> rpoint(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( sQ14_spl
| ~ rpoint(sK3_skl) ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,definition,
( sQ15_spl
<=> rpoint(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( sQ15_spl
| ~ rpoint(sK4_skl) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,definition,
( sQ16_spl
<=> rpoint(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ16_spl
| ~ rpoint(sK5_skl) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1105,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f204]) ).
fof(f1106,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1105]) ).
fof(f1107,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1086,f202]) ).
fof(f1108,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1109,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f200]) ).
fof(f1110,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f1038]) ).
fof(f1112,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f1111]) ).
fof(f1113,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f1036]) ).
fof(f1114,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
rS(sK6_skl,vd1187,vd1197),
inference(forward_demodulation,[status(thm)],[f216,f207]) ).
fof(f1116,plain,
rS(sK6_skl,sK0_skl,vd1197),
inference(forward_demodulation,[status(thm)],[f190,f1115]) ).
fof(f1120,plain,
rS(sK7_skl,vd1187,vd1234),
inference(forward_demodulation,[status(thm)],[f219,f230]) ).
fof(f1121,plain,
rS(sK7_skl,sK0_skl,vd1234),
inference(forward_demodulation,[status(thm)],[f190,f1120]) ).
fof(f1122,plain,
~ rS(sK7_skl,vd1201,vd1232),
inference(forward_demodulation,[status(thm)],[f1026,f231]) ).
fof(f1123,plain,
~ rS(sK7_skl,sK6_skl,vd1232),
inference(forward_demodulation,[status(thm)],[f216,f1122]) ).
fof(f1124,plain,
rS(sK0_skl,vd1201,vd1197),
inference(forward_demodulation,[status(thm)],[f190,f236]) ).
fof(f1125,plain,
rS(sK0_skl,sK6_skl,vd1197),
inference(forward_demodulation,[status(thm)],[f216,f1124]) ).
fof(f1133,definition,
( sQ22_spl
<=> ron(sK8_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( sQ22_spl
| ~ ron(sK8_skl,vd1232) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,definition,
( sQ23_spl
<=> rline(vd1232) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( sQ23_spl
| ~ rline(vd1232) ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1140,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f164]) ).
fof(f1141,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1142,plain,
( sQ22_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f1054]) ).
fof(f1143,plain,
( sQ22_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1144,plain,
~ sP0_prd(vd1234,sK6_skl),
inference(resolution,[status(thm)],[f703,f1049]) ).
fof(f1145,plain,
~ sP0_prd(vd1197,sK7_skl),
inference(resolution,[status(thm)],[f703,f1046]) ).
fof(f1163,definition,
( sQ25_spl
<=> sK8_skl = sK0_skl ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ25_spl
| sK8_skl = sK0_skl ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1169,definition,
( sQ27_spl
<=> rpoint(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( sQ27_spl
| ~ rpoint(sK0_skl) ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,definition,
( sQ28_spl
<=> rpoint(sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( sQ28_spl
| ~ rpoint(sK7_skl) ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,definition,
( sQ29_spl
<=> rpoint(sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
( sQ29_spl
| ~ rpoint(sK8_skl) ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1190,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f223]) ).
fof(f1191,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1190]) ).
fof(f1192,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f220]) ).
fof(f1193,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f191]) ).
fof(f1195,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1194]) ).
fof(f1219,plain,
( ~ sQ25_spl
| ~ ron(sK8_skl,vd1197) ),
inference(backward_demodulation,[status(thm)],[f1164,f1042]) ).
fof(f1223,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f1040]) ).
fof(f1224,plain,
( ~ sQ25_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f1223]) ).
fof(f1244,plain,
vf(sK4_skl,vd1180) = vf(vd1200,vd1201),
inference(forward_demodulation,[status(thm)],[f201,f211]) ).
fof(f1245,plain,
vf(sK4_skl,sK3_skl) = vf(vd1200,vd1201),
inference(forward_demodulation,[status(thm)],[f199,f1244]) ).
fof(f1246,plain,
vf(sK4_skl,sK3_skl) = vf(sK7_skl,vd1201),
inference(forward_demodulation,[status(thm)],[f219,f1245]) ).
fof(f1247,plain,
vf(sK4_skl,sK3_skl) = vf(sK7_skl,sK6_skl),
inference(forward_demodulation,[status(thm)],[f216,f1246]) ).
fof(f1249,plain,
~ sP1_prd(vd1197,sK7_skl),
inference(resolution,[status(thm)],[f708,f1046]) ).
fof(f1250,plain,
~ sP1_prd(vd1234,sK6_skl),
inference(resolution,[status(thm)],[f708,f1049]) ).
fof(f1255,plain,
~ sP2_prd(vd1197,sK7_skl),
inference(resolution,[status(thm)],[f713,f1046]) ).
fof(f1256,plain,
~ sP2_prd(vd1234,sK6_skl),
inference(resolution,[status(thm)],[f713,f1049]) ).
fof(f1276,definition,
( sQ34_spl
<=> sK4_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1277,plain,
( ~ sQ34_spl
| sK4_skl = sK3_skl ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1291,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f1037]) ).
fof(f1292,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1291]) ).
fof(f1294,plain,
! [X0] :
( vplus(X0,vd684) = X0
| ~ rreal(X0) ),
inference(forward_demodulation,[status(thm)],[f289,f802]) ).
fof(f1329,plain,
( ~ sQ0_spl
| vangle(sK0_skl,sK8_skl,sK6_skl) = v0 ),
inference(forward_demodulation,[status(thm)],[f1029,f1010]) ).
fof(f1331,plain,
( ~ sQ0_spl
| vangle(sK0_skl,sK8_skl,sK6_skl) = vd684 ),
inference(forward_demodulation,[status(thm)],[f289,f1329]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ0_spl
| ron(sK6_skl,X0)
| ~ rpoint(sK8_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ rline(X0)
| sK8_skl = sK0_skl
| sK8_skl = sK6_skl
| ~ ron(sK8_skl,X0)
| ~ ron(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f1331,f1055]) ).
fof(f1337,definition,
! [X0] :
( sQ42_spl
<=> ( ron(sK6_skl,X0)
| ~ rline(X0)
| ~ ron(sK8_skl,X0)
| ~ ron(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ42_spl
| ron(sK6_skl,X0)
| ~ rline(X0)
| ~ ron(sK8_skl,X0)
| ~ ron(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,definition,
( sQ43_spl
<=> sK8_skl = sK6_skl ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( ~ sQ43_spl
| sK8_skl = sK6_skl ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,definition,
( sQ44_spl
<=> rpoint(sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1345,plain,
( sQ44_spl
| ~ rpoint(sK6_skl) ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,plain,
( ~ sQ0_spl
| ~ sQ29_spl
| ~ sQ27_spl
| ~ sQ44_spl
| sQ25_spl
| sQ43_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1332,f1337,f1340,f1163,f1343,f1169,f1175,f734]) ).
fof(f1363,plain,
( sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f217]) ).
fof(f1364,plain,
sQ44_spl,
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1376,plain,
( ~ sQ43_spl
| ~ ron(sK8_skl,vd1232) ),
inference(backward_demodulation,[status(thm)],[f1341,f1053]) ).
fof(f1380,plain,
( ~ sQ43_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1376,f1133,f1340]) ).
fof(f1492,plain,
! [X0,X1] :
( X1 = X0
| vf(X1,X0) != vd684
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_demodulation,[status(thm)],[f289,f787]) ).
fof(f1499,plain,
( rS(sK6_skl,sK0_skl,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f790,f1125]) ).
fof(f1500,plain,
( rS(sK0_skl,sK6_skl,vd1197)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f790,f1116]) ).
fof(f1501,plain,
( rS(sK0_skl,sK7_skl,vd1234)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f790,f1121]) ).
fof(f1502,definition,
( sQ64_spl
<=> rline(vd1197) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( sQ64_spl
| ~ rline(vd1197) ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,definition,
( sQ65_spl
<=> rS(sK6_skl,sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( sQ65_spl
| ~ sQ27_spl
| ~ sQ44_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1499,f1502,f1343,f1169,f1505]) ).
fof(f1509,definition,
( sQ66_spl
<=> rS(sK0_skl,sK6_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1512,plain,
( sQ66_spl
| ~ sQ44_spl
| ~ sQ27_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1500,f1502,f1169,f1343,f1509]) ).
fof(f1513,definition,
( sQ67_spl
<=> rline(vd1234) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( sQ67_spl
| ~ rline(vd1234) ),
inference(component_clause,[status(thm)],[f1513]) ).
fof(f1516,definition,
( sQ68_spl
<=> rS(sK0_skl,sK7_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1517,plain,
( ~ sQ68_spl
| rS(sK0_skl,sK7_skl,vd1234) ),
inference(component_clause,[status(thm)],[f1516]) ).
fof(f1519,plain,
( sQ68_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1501,f1513,f1169,f1172,f1516]) ).
fof(f1520,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f235]) ).
fof(f1521,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1522,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1515,f239]) ).
fof(f1523,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1525,definition,
( sQ69_spl
<=> ron(sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1532,definition,
( sQ70_spl
<=> ron(sK6_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1533,plain,
( ~ sQ70_spl
| ron(sK6_skl,vd1232) ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1536,plain,
( ~ sQ68_spl
| rS(sK7_skl,sK0_skl,vd1234)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f1517,f790]) ).
fof(f1537,definition,
( sQ71_spl
<=> rS(sK7_skl,sK0_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
( ~ sQ68_spl
| sQ71_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1536,f1513,f1172,f1169,f1537,f1516]) ).
fof(f1680,plain,
! [X0] :
( ~ rreal(vplus(X0,vd684))
| vplus(X0,vd684) = X0
| ~ rreal(vplus(X0,vd684))
| ~ rreal(X0)
| ~ rreal(vd684) ),
inference(resolution,[status(thm)],[f800,f1294]) ).
fof(f1682,plain,
! [X0,X1] :
( X1 = X1
| ~ rreal(X1)
| ~ rreal(X1)
| ~ rreal(X0) ),
inference(equality_resolution,[status(thm)],[f800]) ).
fof(f1683,definition,
( sQ82_spl
<=> rreal(vd684) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( sQ82_spl
| ~ rreal(vd684) ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,definition,
! [X0] :
( sQ83_spl
<=> ( ~ rreal(vplus(X0,vd684))
| vplus(X0,vd684) = X0
| ~ rreal(vplus(X0,vd684))
| ~ rreal(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1689,plain,
( sQ83_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1680,f1683,f1686]) ).
fof(f1691,definition,
! [X0] :
( sQ84_spl
<=> ~ rreal(X0) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ84_spl
| ~ rreal(X0) ),
inference(component_clause,[status(thm)],[f1691]) ).
fof(f1694,definition,
! [X1] :
( sQ85_spl
<=> ( X1 = X1
| ~ rreal(X1)
| ~ rreal(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1682,f1691,f1694]) ).
fof(f1698,plain,
( sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f290]) ).
fof(f1699,plain,
sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1702,plain,
( ~ sQ84_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f290,f1692]) ).
fof(f1703,definition,
! [X0] :
( sQ86_spl
<=> ~ rpoint(X0) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ86_spl
| ~ rpoint(X0) ),
inference(component_clause,[status(thm)],[f1703]) ).
fof(f1707,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f1702]) ).
fof(f1708,plain,
( ~ sQ86_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f217,f1704]) ).
fof(f1717,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1708]) ).
fof(f1721,plain,
( ~ sQ68_spl
| ~ ron(sK0_skl,vd1234)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f803,f1517]) ).
fof(f1722,plain,
( ~ ron(sK0_skl,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f803,f1125]) ).
fof(f1723,plain,
( ~ ron(sK6_skl,vd1197)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f803,f1116]) ).
fof(f1725,definition,
( sQ87_spl
<=> ron(sK0_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
( sQ87_spl
| ~ ron(sK0_skl,vd1234) ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,plain,
( ~ sQ68_spl
| ~ sQ87_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1721,f1513,f1172,f1169,f1725,f1516]) ).
fof(f1729,plain,
( ~ sQ69_spl
| ~ sQ27_spl
| ~ sQ44_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1722,f1502,f1343,f1169,f1525]) ).
fof(f1730,definition,
( sQ88_spl
<=> ron(sK6_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( ~ sQ88_spl
| ~ sQ44_spl
| ~ sQ27_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1723,f1502,f1169,f1343,f1730]) ).
fof(f1734,definition,
( sQ89_spl
<=> ron(sK7_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( sQ89_spl
| ~ ron(sK7_skl,vd1234) ),
inference(component_clause,[status(thm)],[f1734]) ).
fof(f1739,plain,
! [X0,X1] :
( vd1234 = X0
| ~ rpoint(X1)
| ~ rpoint(sK6_skl)
| X1 = sK6_skl
| ~ rline(vd1234)
| ~ rline(X0)
| ~ ron(X1,vd1234)
| ~ ron(X1,X0)
| ~ ron(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f804,f1049]) ).
fof(f1743,plain,
! [X0,X1] :
( vd1232 = X0
| ~ rpoint(X1)
| ~ rpoint(sK0_skl)
| X1 = sK0_skl
| ~ rline(vd1232)
| ~ rline(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X0)
| ~ ron(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f804,f1008]) ).
fof(f1745,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)],[f804,f1046]) ).
fof(f1789,definition,
( sQ90_spl
<=> ron(sK6_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1791,plain,
( sQ90_spl
| ~ ron(sK6_skl,vd1234) ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1799,definition,
! [X0,X1] :
( sQ93_spl
<=> ( vd1234 = X0
| ~ rpoint(X1)
| X1 = sK6_skl
| ~ rline(X0)
| ~ ron(X1,vd1234)
| ~ ron(X1,X0)
| ~ ron(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( ~ sQ44_spl
| ~ sQ67_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1739,f1799,f1513,f1343]) ).
fof(f1804,definition,
( sQ94_spl
<=> ron(sK0_skl,vd1232) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1806,plain,
( sQ94_spl
| ~ ron(sK0_skl,vd1232) ),
inference(component_clause,[status(thm)],[f1804]) ).
fof(f1814,definition,
! [X0,X1] :
( sQ97_spl
<=> ( vd1232 = X0
| ~ rpoint(X1)
| X1 = sK0_skl
| ~ rline(X0)
| ~ ron(X1,vd1232)
| ~ ron(X1,X0)
| ~ ron(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1817,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1743,f1814,f1136,f1169]) ).
fof(f1818,definition,
( sQ98_spl
<=> ron(sK7_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
( sQ98_spl
| ~ ron(sK7_skl,vd1197) ),
inference(component_clause,[status(thm)],[f1818]) ).
fof(f1828,definition,
! [X0,X1] :
( sQ101_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,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1831,plain,
( ~ sQ28_spl
| ~ sQ64_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1745,f1828,f1502,f1172]) ).
fof(f1901,plain,
( sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f1046]) ).
fof(f1902,plain,
sQ98_spl,
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1903,plain,
( sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1806,f1008]) ).
fof(f1904,plain,
sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1903]) ).
fof(f1905,plain,
( sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1791,f1049]) ).
fof(f1906,plain,
sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1905]) ).
fof(f1995,plain,
! [X0,X1] :
( rintersect(vd1234,X1)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rinside(X0,vd1234)
| ~ rinside(sK6_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f806,f1049]) ).
fof(f1997,plain,
! [X0,X1] :
( rintersect(vd1232,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rinside(X0,vd1232)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f806,f1008]) ).
fof(f1998,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)],[f806,f1046]) ).
fof(f2005,definition,
! [X0,X1] :
( sQ127_spl
<=> ( rintersect(vd1234,X1)
| ~ rpoint(X0)
| ~ rinside(X0,vd1234)
| ~ rinside(sK6_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2008,plain,
( ~ sQ44_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1995,f2005,f1343]) ).
fof(f2009,definition,
! [X0,X1] :
( sQ128_spl
<=> ( rintersect(vd1232,X1)
| ~ rpoint(X0)
| ~ rinside(X0,vd1232)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2012,plain,
( ~ sQ27_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f1997,f2009,f1169]) ).
fof(f2013,definition,
! [X0,X1] :
( sQ129_spl
<=> ( rintersect(vd1197,X1)
| ~ rpoint(X0)
| ~ rinside(X0,vd1197)
| ~ rinside(sK7_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2016,plain,
( ~ sQ28_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1998,f2013,f1172]) ).
fof(f2102,definition,
( sQ136_spl
<=> rpoint(sK43_skl(vd1197)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2104,plain,
( sQ136_spl
| ~ rpoint(sK43_skl(vd1197)) ),
inference(component_clause,[status(thm)],[f2102]) ).
fof(f2108,plain,
( sQ136_spl
| ~ rline(vd1197) ),
inference(resolution,[status(thm)],[f2104,f944]) ).
fof(f2109,plain,
( sQ136_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f2108,f1502,f2102]) ).
fof(f2140,definition,
( sQ141_spl
<=> rpoint(sK43_skl(vd1234)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f2142,plain,
( sQ141_spl
| ~ rpoint(sK43_skl(vd1234)) ),
inference(component_clause,[status(thm)],[f2140]) ).
fof(f2145,plain,
( sQ141_spl
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f2142,f944]) ).
fof(f2146,plain,
( sQ141_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2145,f1513,f2140]) ).
fof(f2187,definition,
( sQ146_spl
<=> rpoint(sK43_skl(vd1232)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f2189,plain,
( sQ146_spl
| ~ rpoint(sK43_skl(vd1232)) ),
inference(component_clause,[status(thm)],[f2187]) ).
fof(f2193,plain,
( sQ146_spl
| ~ rline(vd1232) ),
inference(resolution,[status(thm)],[f2189,f944]) ).
fof(f2194,plain,
( sQ146_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2193,f1136,f2187]) ).
fof(f2290,plain,
! [X0] :
( vplus(vf(X0,sK4_skl),vf(sK7_skl,sK6_skl)) = vf(X0,sK3_skl)
| ~ rpoint(X0)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| ~ rR(sK4_skl,X0,sK3_skl) ),
inference(paramodulation,[status(thm)],[f1247,f805]) ).
fof(f2291,plain,
! [X0] :
( vplus(vf(sK7_skl,sK6_skl),vf(sK3_skl,X0)) = vf(sK4_skl,X0)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| ~ rpoint(X0)
| ~ rR(sK3_skl,sK4_skl,X0) ),
inference(paramodulation,[status(thm)],[f1247,f805]) ).
fof(f2292,definition,
! [X0] :
( sQ158_spl
<=> ( vplus(vf(X0,sK4_skl),vf(sK7_skl,sK6_skl)) = vf(X0,sK3_skl)
| ~ rpoint(X0)
| ~ rR(sK4_skl,X0,sK3_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2295,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f2290,f2292,f1081,f1084]) ).
fof(f2296,definition,
! [X0] :
( sQ159_spl
<=> ( vplus(vf(sK7_skl,sK6_skl),vf(sK3_skl,X0)) = vf(sK4_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK3_skl,sK4_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2299,plain,
( ~ sQ15_spl
| ~ sQ14_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2291,f2296,f1081,f1084]) ).
fof(f2366,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[status(thm)],[f829,f995]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ4_spl
| ~ rpoint(X0)
| X0 = sK3_skl ),
inference(resolution,[status(thm)],[f2366,f200]) ).
fof(f2414,plain,
( ~ sQ4_spl
| sK5_skl = sK3_skl ),
inference(resolution,[status(thm)],[f2378,f204]) ).
fof(f2421,plain,
( ~ sQ4_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f2414,f1075,f750]) ).
fof(f2424,plain,
! [X0,X1,X2,X3] :
( rintersect(X3,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rcircle(X3)
| ~ rcircle(X1)
| ~ ron(X2,X3)
| ~ rinside(X0,X3)
| ~ rinside(X2,X1)
| rinside(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f808,f806]) ).
fof(f2448,plain,
! [X0,X1,X2] :
( X2 = X1
| ~ rpoint(sK3_skl)
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X2)
| ~ rcenter(sK4_skl,X1)
| ~ ron(sK3_skl,X2)
| ~ ron(X0,X1)
| vf(sK7_skl,sK6_skl) != vf(sK4_skl,X0) ),
inference(paramodulation,[status(thm)],[f1247,f832]) ).
fof(f2476,definition,
! [X0,X1,X2] :
( sQ173_spl
<=> ( X2 = X1
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X2)
| ~ rcenter(sK4_skl,X1)
| ~ ron(sK3_skl,X2)
| ~ ron(X0,X1)
| vf(sK7_skl,sK6_skl) != vf(sK4_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2479,plain,
( ~ sQ14_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f2448,f2476,f1081]) ).
fof(f2500,plain,
! [X0,X1] :
( rleq(vd684,vf(X1,X0))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_demodulation,[status(thm)],[f289,f975]) ).
fof(f2505,plain,
( rleq(vd684,vf(sK7_skl,sK6_skl))
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl) ),
inference(paramodulation,[status(thm)],[f1247,f2500]) ).
fof(f2516,definition,
( sQ176_spl
<=> rleq(vd684,vf(sK7_skl,sK6_skl)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f2519,plain,
( sQ176_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2505,f1081,f1084,f2516]) ).
fof(f2524,plain,
( vf(sK7_skl,sK6_skl) = sK10_skl(sK3_skl,sK4_skl)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl) ),
inference(paramodulation,[status(thm)],[f1247,f798]) ).
fof(f2541,definition,
( sQ181_spl
<=> vf(sK7_skl,sK6_skl) = sK10_skl(sK3_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2542,plain,
( ~ sQ181_spl
| vf(sK7_skl,sK6_skl) = sK10_skl(sK3_skl,sK4_skl) ),
inference(component_clause,[status(thm)],[f2541]) ).
fof(f2544,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2524,f1081,f1084,f2541]) ).
fof(f2546,plain,
! [X0] :
( rintersect(vd1234,X0)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rline(vd1234)
| ~ rinside(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f840,f1049]) ).
fof(f2548,plain,
! [X0] :
( rintersect(vd1232,X0)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rline(vd1232)
| ~ rinside(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f840,f1008]) ).
fof(f2549,plain,
! [X0] :
( rintersect(vd1197,X0)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rline(vd1197)
| ~ rinside(sK7_skl,X0) ),
inference(resolution,[status(thm)],[f840,f1046]) ).
fof(f2557,definition,
! [X0] :
( sQ182_spl
<=> ( rintersect(vd1234,X0)
| ~ rcircle(X0)
| ~ rinside(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ182_spl
| rintersect(vd1234,X0)
| ~ rcircle(X0)
| ~ rinside(sK6_skl,X0) ),
inference(component_clause,[status(thm)],[f2557]) ).
fof(f2560,plain,
( ~ sQ44_spl
| ~ sQ67_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f2546,f2557,f1513,f1343]) ).
fof(f2563,definition,
! [X0] :
( sQ183_spl
<=> ( rintersect(vd1232,X0)
| ~ rcircle(X0)
| ~ rinside(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ183_spl
| rintersect(vd1232,X0)
| ~ rcircle(X0)
| ~ rinside(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f2563]) ).
fof(f2566,plain,
( ~ sQ27_spl
| ~ sQ23_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2548,f2563,f1136,f1169]) ).
fof(f2567,definition,
! [X0] :
( sQ184_spl
<=> ( rintersect(vd1197,X0)
| ~ rcircle(X0)
| ~ rinside(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
! [X0] :
( ~ sQ184_spl
| rintersect(vd1197,X0)
| ~ rcircle(X0)
| ~ rinside(sK7_skl,X0) ),
inference(component_clause,[status(thm)],[f2567]) ).
fof(f2570,plain,
( ~ sQ28_spl
| ~ sQ64_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2549,f2567,f1502,f1172]) ).
fof(f2584,plain,
( ~ sQ181_spl
| vf(sK4_skl,sK3_skl) = sK10_skl(sK3_skl,sK4_skl) ),
inference(backward_demodulation,[status(thm)],[f2542,f1247]) ).
fof(f2585,plain,
( ~ sQ181_spl
| sK10_skl(sK3_skl,sK4_skl) = sK10_skl(sK6_skl,sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl) ),
inference(paramodulation,[status(thm)],[f2542,f798]) ).
fof(f2586,plain,
( ~ sQ181_spl
| rleq(vd684,sK10_skl(sK3_skl,sK4_skl))
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl) ),
inference(paramodulation,[status(thm)],[f2542,f2500]) ).
fof(f2587,plain,
! [X0,X1,X2] :
( ~ sQ181_spl
| X2 = X1
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rcenter(sK7_skl,X2)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK6_skl,X1)
| vf(sK7_skl,X0) != sK10_skl(sK3_skl,sK4_skl) ),
inference(paramodulation,[status(thm)],[f2542,f832]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ181_spl
| vplus(vf(X0,sK7_skl),sK10_skl(sK3_skl,sK4_skl)) = vf(X0,sK6_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl)
| ~ rR(sK7_skl,X0,sK6_skl) ),
inference(paramodulation,[status(thm)],[f2542,f805]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ181_spl
| vplus(sK10_skl(sK3_skl,sK4_skl),vf(sK6_skl,X0)) = vf(sK7_skl,X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rR(sK6_skl,sK7_skl,X0) ),
inference(paramodulation,[status(thm)],[f2542,f805]) ).
fof(f2591,definition,
( sQ188_spl
<=> sK10_skl(sK3_skl,sK4_skl) = sK10_skl(sK6_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2592,plain,
( ~ sQ188_spl
| sK10_skl(sK3_skl,sK4_skl) = sK10_skl(sK6_skl,sK7_skl) ),
inference(component_clause,[status(thm)],[f2591]) ).
fof(f2594,plain,
( ~ sQ181_spl
| sQ188_spl
| ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2585,f1343,f1172,f2591,f2541]) ).
fof(f2595,definition,
( sQ189_spl
<=> rleq(vd684,sK10_skl(sK3_skl,sK4_skl)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2598,plain,
( ~ sQ181_spl
| sQ189_spl
| ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2586,f1343,f1172,f2595,f2541]) ).
fof(f2599,definition,
! [X0,X1,X2] :
( sQ190_spl
<=> ( X2 = X1
| ~ rpoint(X0)
| ~ rcenter(sK7_skl,X2)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK6_skl,X1)
| vf(sK7_skl,X0) != sK10_skl(sK3_skl,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2602,plain,
( ~ sQ181_spl
| ~ sQ44_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2587,f2599,f1343,f2541]) ).
fof(f2604,definition,
! [X0] :
( sQ191_spl
<=> ( vplus(vf(X0,sK7_skl),sK10_skl(sK3_skl,sK4_skl)) = vf(X0,sK6_skl)
| ~ rpoint(X0)
| ~ rR(sK7_skl,X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2607,plain,
( ~ sQ181_spl
| ~ sQ28_spl
| ~ sQ44_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2589,f2604,f1343,f1172,f2541]) ).
fof(f2608,definition,
! [X0] :
( sQ192_spl
<=> ( vplus(sK10_skl(sK3_skl,sK4_skl),vf(sK6_skl,X0)) = vf(sK7_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK6_skl,sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2611,plain,
( ~ sQ181_spl
| ~ sQ28_spl
| ~ sQ44_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2590,f2608,f1343,f1172,f2541]) ).
fof(f2651,plain,
! [X0] :
( rintersect(vd1232,X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl)
| ~ rline(vd1232)
| ~ rline(X0)
| ~ ron(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ),
inference(resolution,[status(thm)],[f841,f1123]) ).
fof(f2653,definition,
! [X0] :
( sQ199_spl
<=> ( rintersect(vd1232,X0)
| ~ rline(X0)
| ~ ron(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ199_spl
| rintersect(vd1232,X0)
| ~ rline(X0)
| ~ ron(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ),
inference(component_clause,[status(thm)],[f2653]) ).
fof(f2656,plain,
( ~ sQ28_spl
| ~ sQ44_spl
| ~ sQ23_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f2651,f2653,f1136,f1343,f1172]) ).
fof(f2659,plain,
! [X0,X1,X2,X3] :
( ~ rcircle(X3)
| ~ rcircle(X2)
| X3 = X2
| ~ rintersect(X3,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(sK6_skl,X3)
| ~ ron(sK6_skl,X2)
| sK0_skl = sK6_skl
| ~ rcenter(X1,X3)
| ~ rcenter(X0,X2)
| ~ rline(vd1197)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1197) ),
inference(resolution,[status(thm)],[f842,f1125]) ).
fof(f2670,definition,
! [X0,X1,X2,X3] :
( sQ202_spl
<=> ( ~ rcircle(X3)
| ~ rcircle(X2)
| X3 = X2
| ~ rintersect(X3,X2)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(sK6_skl,X3)
| ~ ron(sK6_skl,X2)
| ~ rcenter(X1,X3)
| ~ rcenter(X0,X2)
| ~ ron(X1,vd1197)
| ~ ron(X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2673,definition,
( sQ203_spl
<=> sK0_skl = sK6_skl ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2674,plain,
( ~ sQ203_spl
| sK0_skl = sK6_skl ),
inference(component_clause,[status(thm)],[f2673]) ).
fof(f2676,plain,
( ~ sQ27_spl
| ~ sQ44_spl
| sQ203_spl
| ~ sQ64_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2659,f2670,f1502,f2673,f1343,f1169]) ).
fof(f2808,definition,
( sQ207_spl
<=> sK7_skl = sK6_skl ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2809,plain,
( ~ sQ207_spl
| sK7_skl = sK6_skl ),
inference(component_clause,[status(thm)],[f2808]) ).
fof(f2843,plain,
( ~ sQ207_spl
| ron(sK7_skl,vd1234) ),
inference(backward_demodulation,[status(thm)],[f2809,f1049]) ).
fof(f2851,plain,
( ~ sQ207_spl
| sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2843,f1736]) ).
fof(f2852,plain,
( ~ sQ207_spl
| sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2851]) ).
fof(f2970,plain,
( ~ sQ203_spl
| ron(sK6_skl,vd1232) ),
inference(backward_demodulation,[status(thm)],[f2674,f1008]) ).
fof(f2988,plain,
( ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2970,f1053]) ).
fof(f2989,plain,
~ sQ203_spl,
inference(contradiction_clause,[status(thm)],[f2988]) ).
fof(f3143,plain,
! [X0] :
( ~ sQ68_spl
| rS(sK7_skl,X0,vd1234)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rline(vd1234)
| ~ rS(sK0_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f1517,f854]) ).
fof(f3145,plain,
! [X0,X1,X2,X3] :
( ~ sQ68_spl
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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)],[f1517,f848]) ).
fof(f3147,plain,
! [X0,X1,X2,X3] :
( ~ sQ68_spl
| ~ rS(X0,sK7_skl,X3)
| ~ rline(vd1234)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f1517,f848]) ).
fof(f3148,plain,
! [X0,X1,X2,X3] :
( ~ sQ68_spl
| rS(X0,sK0_skl,X3)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1517,f847]) ).
fof(f3149,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ68_spl
| rS(sK0_skl,X0,vd1234)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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)],[f1517,f846]) ).
fof(f3151,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ68_spl
| rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK0_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f1517,f846]) ).
fof(f3153,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ68_spl
| rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f1517,f846]) ).
fof(f3156,definition,
! [X0] :
( sQ211_spl
<=> ( rS(sK7_skl,X0,vd1234)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ211_spl
| rS(sK7_skl,X0,vd1234)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1234) ),
inference(component_clause,[status(thm)],[f3156]) ).
fof(f3159,plain,
( ~ sQ68_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ67_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3143,f3156,f1513,f1172,f1169,f1516]) ).
fof(f3164,definition,
! [X0,X1,X2,X3] :
( sQ213_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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,[sQ213_spl])],[split_symbol_definition]) ).
fof(f3167,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f3145,f3164,f1172,f1169,f1513,f1516]) ).
fof(f3169,definition,
! [X0,X1,X2,X3] :
( sQ214_spl
<=> ( ~ rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f3172,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f3147,f3169,f1172,f1169,f1513,f1516]) ).
fof(f3173,definition,
! [X0,X1,X2,X3] :
( sQ215_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f3176,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f3148,f3173,f1172,f1169,f1513,f1516]) ).
fof(f3177,definition,
! [X0,X1,X2,X3,X4] :
( sQ216_spl
<=> ( rS(sK0_skl,X0,vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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,[sQ216_spl])],[split_symbol_definition]) ).
fof(f3180,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f3149,f3177,f1172,f1169,f1513,f1516]) ).
fof(f3181,definition,
( sQ217_spl
<=> rS(sK7_skl,sK7_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f3182,plain,
( ~ sQ217_spl
| rS(sK7_skl,sK7_skl,vd1234) ),
inference(component_clause,[status(thm)],[f3181]) ).
fof(f3188,definition,
! [X0,X1,X2,X3,X4] :
( sQ219_spl
<=> ( rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK0_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f3191,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ27_spl
| ~ sQ28_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f3151,f3188,f1172,f1169,f1513,f1516]) ).
fof(f3193,definition,
! [X0,X1,X2,X3,X4] :
( sQ220_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f3196,plain,
( ~ sQ68_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f3153,f3193,f1169,f1513,f1516]) ).
fof(f3201,plain,
! [X0] :
( rS(sK6_skl,X0,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK0_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f1125,f854]) ).
fof(f3203,plain,
! [X0,X1,X2,X3] :
( ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK0_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1125,f848]) ).
fof(f3205,plain,
! [X0,X1,X2,X3] :
( ~ rS(X0,sK6_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X1)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f1125,f848]) ).
fof(f3206,plain,
! [X0,X1,X2,X3] :
( rS(X0,sK0_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK6_skl,X3)
| rS(X0,sK6_skl,X2)
| ron(sK6_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1125,f847]) ).
fof(f3207,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(sK6_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK6_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK6_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1125,f846]) ).
fof(f3209,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK6_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK0_skl,X3)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK6_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK6_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f1125,f846]) ).
fof(f3211,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,sK6_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,sK6_skl,X1) ),
inference(resolution,[status(thm)],[f1125,f846]) ).
fof(f3214,definition,
! [X0] :
( sQ221_spl
<=> ( rS(sK6_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f3215,plain,
! [X0] :
( ~ sQ221_spl
| rS(sK6_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1197) ),
inference(component_clause,[status(thm)],[f3214]) ).
fof(f3217,plain,
( ~ sQ27_spl
| ~ sQ44_spl
| ~ sQ64_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f3201,f3214,f1502,f1343,f1169]) ).
fof(f3222,definition,
! [X0,X1,X2,X3] :
( sQ223_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(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f3225,plain,
( ~ sQ64_spl
| ~ sQ27_spl
| ~ sQ44_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3203,f3222,f1343,f1169,f1502]) ).
fof(f3227,definition,
! [X0,X1,X2,X3] :
( sQ224_spl
<=> ( ~ rS(X0,sK6_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(sK6_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f3230,plain,
( ~ sQ64_spl
| ~ sQ27_spl
| ~ sQ44_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f3205,f3227,f1343,f1169,f1502]) ).
fof(f3231,definition,
! [X0,X1,X2,X3] :
( sQ225_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(sK6_skl,X3)
| rS(X0,sK6_skl,X2)
| ron(sK6_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f3234,plain,
( ~ sQ64_spl
| ~ sQ27_spl
| ~ sQ44_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f3206,f3231,f1343,f1169,f1502]) ).
fof(f3235,definition,
! [X0,X1,X2,X3,X4] :
( sQ226_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(sK6_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK6_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f3238,plain,
( ~ sQ64_spl
| ~ sQ27_spl
| ~ sQ44_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f3207,f3235,f1343,f1169,f1502]) ).
fof(f3239,definition,
( sQ227_spl
<=> rS(sK6_skl,sK6_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f3240,plain,
( ~ sQ227_spl
| rS(sK6_skl,sK6_skl,vd1197) ),
inference(component_clause,[status(thm)],[f3239]) ).
fof(f3241,plain,
( sQ227_spl
| ~ rS(sK6_skl,sK6_skl,vd1197) ),
inference(component_clause,[status(thm)],[f3239]) ).
fof(f3246,definition,
! [X0,X1,X2,X3,X4] :
( sQ229_spl
<=> ( rS(sK6_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(sK6_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK6_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK6_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f3249,plain,
( ~ sQ64_spl
| ~ sQ27_spl
| ~ sQ44_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f3209,f3246,f1343,f1169,f1502]) ).
fof(f3251,definition,
! [X0,X1,X2,X3,X4] :
( sQ230_spl
<=> ( rS(X0,sK6_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,sK6_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f3254,plain,
( ~ sQ64_spl
| ~ sQ27_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f3211,f3251,f1169,f1502]) ).
fof(f3259,plain,
! [X0] :
( rS(sK0_skl,X0,vd1197)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK6_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f1116,f854]) ).
fof(f3261,plain,
! [X0,X1,X2,X3] :
( ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK6_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK6_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1116,f848]) ).
fof(f3263,plain,
! [X0,X1,X2,X3] :
( ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK6_skl,X1) ),
inference(resolution,[status(thm)],[f1116,f848]) ).
fof(f3264,plain,
! [X0,X1,X2,X3] :
( rS(X0,sK6_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1116,f847]) ).
fof(f3265,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK6_skl,X0,vd1197)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK6_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK6_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1116,f846]) ).
fof(f3267,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK6_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)],[f1116,f846]) ).
fof(f3269,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f1116,f846]) ).
fof(f3272,definition,
! [X0] :
( sQ231_spl
<=> ( rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK6_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f3273,plain,
! [X0] :
( ~ sQ231_spl
| rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK6_skl,X0,vd1197) ),
inference(component_clause,[status(thm)],[f3272]) ).
fof(f3275,plain,
( ~ sQ44_spl
| ~ sQ27_spl
| ~ sQ64_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f3259,f3272,f1502,f1169,f1343]) ).
fof(f3280,definition,
! [X0,X1,X2,X3] :
( sQ233_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK6_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK6_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f3283,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| ~ sQ27_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f3261,f3280,f1169,f1343,f1502]) ).
fof(f3285,definition,
! [X0,X1,X2,X3] :
( sQ234_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(sK6_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK6_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f3288,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| ~ sQ27_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3263,f3285,f1169,f1343,f1502]) ).
fof(f3289,definition,
! [X0,X1,X2,X3] :
( sQ235_spl
<=> ( rS(X0,sK6_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f3292,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| ~ sQ27_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3264,f3289,f1169,f1343,f1502]) ).
fof(f3293,definition,
! [X0,X1,X2,X3,X4] :
( sQ236_spl
<=> ( rS(sK6_skl,X0,vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK0_skl,X1)
| ~ rS(X3,sK6_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK6_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f3296,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| ~ sQ27_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3265,f3293,f1169,f1343,f1502]) ).
fof(f3297,definition,
( sQ237_spl
<=> rS(sK0_skl,sK0_skl,vd1197) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f3298,plain,
( ~ sQ237_spl
| rS(sK0_skl,sK0_skl,vd1197) ),
inference(component_clause,[status(thm)],[f3297]) ).
fof(f3299,plain,
( sQ237_spl
| ~ rS(sK0_skl,sK0_skl,vd1197) ),
inference(component_clause,[status(thm)],[f3297]) ).
fof(f3304,definition,
! [X0,X1,X2,X3,X4] :
( sQ239_spl
<=> ( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK6_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,[sQ239_spl])],[split_symbol_definition]) ).
fof(f3307,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| ~ sQ27_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f3267,f3304,f1169,f1343,f1502]) ).
fof(f3309,definition,
! [X0,X1,X2,X3,X4] :
( sQ240_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(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f3312,plain,
( ~ sQ64_spl
| ~ sQ44_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f3269,f3309,f1343,f1502]) ).
fof(f3317,plain,
! [X0] :
( rS(sK0_skl,X0,vd1234)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1234)
| ~ rS(sK7_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f1121,f854]) ).
fof(f3319,plain,
! [X0,X1,X2,X3] :
( ~ rline(X2)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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)],[f1121,f848]) ).
fof(f3321,plain,
! [X0,X1,X2,X3] :
( ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1234)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f1121,f848]) ).
fof(f3322,plain,
! [X0,X1,X2,X3] :
( rS(X0,sK7_skl,X3)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f1121,f847]) ).
fof(f3323,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK7_skl,X0,vd1234)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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)],[f1121,f846]) ).
fof(f3325,plain,
! [X0,X1,X2,X3,X4] :
( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rpoint(X4)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK7_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f1121,f846]) ).
fof(f3327,plain,
! [X0,X1,X2,X3,X4] :
( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f1121,f846]) ).
fof(f3330,definition,
! [X0] :
( sQ241_spl
<=> ( rS(sK0_skl,X0,vd1234)
| ~ rpoint(X0)
| ~ rS(sK7_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f3331,plain,
! [X0] :
( ~ sQ241_spl
| rS(sK0_skl,X0,vd1234)
| ~ rpoint(X0)
| ~ rS(sK7_skl,X0,vd1234) ),
inference(component_clause,[status(thm)],[f3330]) ).
fof(f3333,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ67_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f3317,f3330,f1513,f1169,f1172]) ).
fof(f3338,definition,
! [X0,X1,X2,X3] :
( sQ243_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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,[sQ243_spl])],[split_symbol_definition]) ).
fof(f3341,plain,
( ~ sQ67_spl
| ~ sQ28_spl
| ~ sQ27_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3319,f3338,f1169,f1172,f1513]) ).
fof(f3343,definition,
! [X0,X1,X2,X3] :
( sQ244_spl
<=> ( ~ rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f3346,plain,
( ~ sQ67_spl
| ~ sQ28_spl
| ~ sQ27_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f3321,f3343,f1169,f1172,f1513]) ).
fof(f3347,definition,
! [X0,X1,X2,X3] :
( sQ245_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f3350,plain,
( ~ sQ67_spl
| ~ sQ28_spl
| ~ sQ27_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3322,f3347,f1169,f1172,f1513]) ).
fof(f3351,definition,
! [X0,X1,X2,X3,X4] :
( sQ246_spl
<=> ( rS(sK7_skl,X0,vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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,[sQ246_spl])],[split_symbol_definition]) ).
fof(f3354,plain,
( ~ sQ67_spl
| ~ sQ28_spl
| ~ sQ27_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f3323,f3351,f1169,f1172,f1513]) ).
fof(f3355,definition,
( sQ247_spl
<=> rS(sK0_skl,sK0_skl,vd1234) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f3356,plain,
( ~ sQ247_spl
| rS(sK0_skl,sK0_skl,vd1234) ),
inference(component_clause,[status(thm)],[f3355]) ).
fof(f3357,plain,
( sQ247_spl
| ~ rS(sK0_skl,sK0_skl,vd1234) ),
inference(component_clause,[status(thm)],[f3355]) ).
fof(f3362,definition,
! [X0,X1,X2,X3,X4] :
( sQ249_spl
<=> ( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK7_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f3365,plain,
( ~ sQ67_spl
| ~ sQ28_spl
| ~ sQ27_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f3325,f3362,f1169,f1172,f1513]) ).
fof(f3367,definition,
! [X0,X1,X2,X3,X4] :
( sQ250_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f3370,plain,
( ~ sQ67_spl
| ~ sQ28_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f3327,f3367,f1172,f1513]) ).
fof(f3398,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1533,f1053]) ).
fof(f3399,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f3398]) ).
fof(f3437,plain,
( sQ227_spl
| ~ rpoint(sK6_skl)
| ~ rline(vd1197)
| ron(sK6_skl,vd1197) ),
inference(resolution,[status(thm)],[f3241,f855]) ).
fof(f3443,plain,
( sQ227_spl
| ~ sQ44_spl
| ~ sQ64_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3437,f1730,f1502,f1343,f3239]) ).
fof(f3460,plain,
( sQ237_spl
| ~ rpoint(sK0_skl)
| ~ rline(vd1197)
| ron(sK0_skl,vd1197) ),
inference(resolution,[status(thm)],[f3299,f855]) ).
fof(f3466,plain,
( sQ237_spl
| ~ sQ27_spl
| ~ sQ64_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f3460,f1525,f1502,f1169,f3297]) ).
fof(f3483,plain,
( sQ247_spl
| ~ rpoint(sK0_skl)
| ~ rline(vd1234)
| ron(sK0_skl,vd1234) ),
inference(resolution,[status(thm)],[f3357,f855]) ).
fof(f3489,plain,
( sQ247_spl
| ~ sQ27_spl
| ~ sQ67_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f3483,f1725,f1513,f1169,f3355]) ).
fof(f3572,plain,
! [X0] :
( ~ sQ217_spl
| rS(sK7_skl,X0,vd1234)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rline(vd1234)
| ~ rS(sK7_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f3182,f854]) ).
fof(f3574,plain,
! [X0,X1,X2,X3] :
( ~ sQ217_spl
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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)],[f3182,f848]) ).
fof(f3576,plain,
! [X0,X1,X2,X3] :
( ~ sQ217_spl
| ~ rS(X0,sK7_skl,X3)
| ~ rline(vd1234)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f3182,f848]) ).
fof(f3577,plain,
! [X0,X1,X2,X3] :
( ~ sQ217_spl
| rS(X0,sK7_skl,X3)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f3182,f847]) ).
fof(f3579,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ217_spl
| rS(sK7_skl,X0,vd1234)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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)],[f3182,f846]) ).
fof(f3581,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ217_spl
| rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rpoint(X4)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK7_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f3182,f846]) ).
fof(f3583,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ217_spl
| rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ),
inference(resolution,[status(thm)],[f3182,f846]) ).
fof(f3585,plain,
( ~ sQ217_spl
| ~ ron(sK7_skl,vd1234)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f3182,f803]) ).
fof(f3586,definition,
! [X0] :
( sQ276_spl
<=> ( rS(sK7_skl,X0,vd1234)
| ~ rpoint(X0)
| ~ rS(sK7_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f3589,plain,
( ~ sQ217_spl
| ~ sQ28_spl
| ~ sQ67_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3572,f3586,f1513,f1172,f3181]) ).
fof(f3594,definition,
! [X0,X1,X2,X3] :
( sQ278_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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,[sQ278_spl])],[split_symbol_definition]) ).
fof(f3597,plain,
( ~ sQ217_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f3574,f3594,f1172,f1513,f3181]) ).
fof(f3599,definition,
! [X0,X1,X2,X3] :
( sQ279_spl
<=> ( ~ rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f3602,plain,
( ~ sQ217_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f3576,f3599,f1172,f1513,f3181]) ).
fof(f3603,definition,
! [X0,X1,X2,X3] :
( sQ280_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X2)
| ~ ron(sK7_skl,X3)
| rS(X0,sK7_skl,X2)
| ron(sK7_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f3606,plain,
( ~ sQ217_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f3577,f3603,f1172,f1513,f3181]) ).
fof(f3611,definition,
! [X0,X1,X2,X3,X4] :
( sQ282_spl
<=> ( rS(sK7_skl,X0,vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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,[sQ282_spl])],[split_symbol_definition]) ).
fof(f3614,plain,
( ~ sQ217_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f3579,f3611,f1172,f1513,f3181]) ).
fof(f3616,definition,
! [X0,X1,X2,X3,X4] :
( sQ283_spl
<=> ( rS(sK7_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK7_skl,X3)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK7_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK7_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f3619,plain,
( ~ sQ217_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3581,f3616,f1172,f1513,f3181]) ).
fof(f3621,definition,
! [X0,X1,X2,X3,X4] :
( sQ284_spl
<=> ( rS(X0,sK7_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK7_skl,X1)
| ~ rS(X0,sK7_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK7_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f3624,plain,
( ~ sQ217_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f3583,f3621,f1172,f1513,f3181]) ).
fof(f3629,plain,
( ~ sQ217_spl
| ~ sQ89_spl
| ~ sQ28_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f3585,f1513,f1172,f1734,f3181]) ).
fof(f3633,plain,
! [X0] :
( ~ sQ227_spl
| rS(sK6_skl,X0,vd1197)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK6_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f3240,f854]) ).
fof(f3635,plain,
! [X0,X1,X2,X3] :
( ~ sQ227_spl
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK6_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X2)
| ~ rS(sK6_skl,X0,X1) ),
inference(resolution,[status(thm)],[f3240,f848]) ).
fof(f3637,plain,
! [X0,X1,X2,X3] :
( ~ sQ227_spl
| ~ rS(X0,sK6_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X1)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X1) ),
inference(resolution,[status(thm)],[f3240,f848]) ).
fof(f3638,plain,
! [X0,X1,X2,X3] :
( ~ sQ227_spl
| rS(X0,sK6_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK6_skl,X3)
| rS(X0,sK6_skl,X2)
| ron(sK6_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f3240,f847]) ).
fof(f3640,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ227_spl
| rS(sK6_skl,X0,vd1197)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK6_skl,X1)
| ~ rS(X3,sK6_skl,X1)
| ~ rS(sK6_skl,X0,X2)
| ~ rS(sK6_skl,X0,X1) ),
inference(resolution,[status(thm)],[f3240,f846]) ).
fof(f3642,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ227_spl
| rS(sK6_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK6_skl,X3)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK6_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK6_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f3240,f846]) ).
fof(f3644,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ227_spl
| rS(X0,sK6_skl,X3)
| ~ rline(X3)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK6_skl,X1) ),
inference(resolution,[status(thm)],[f3240,f846]) ).
fof(f3647,definition,
! [X0] :
( sQ286_spl
<=> ( rS(sK6_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK6_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f3650,plain,
( ~ sQ227_spl
| ~ sQ44_spl
| ~ sQ64_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3633,f3647,f1502,f1343,f3239]) ).
fof(f3655,definition,
! [X0,X1,X2,X3] :
( sQ288_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ ron(X3,X1)
| ~ ron(sK6_skl,X2)
| ~ ron(X0,X1)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X2)
| ~ rS(sK6_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3658,plain,
( ~ sQ227_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3635,f3655,f1343,f1502,f3239]) ).
fof(f3660,definition,
! [X0,X1,X2,X3] :
( sQ289_spl
<=> ( ~ rS(X0,sK6_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X1)
| ~ ron(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3663,plain,
( ~ sQ227_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3637,f3660,f1343,f1502,f3239]) ).
fof(f3664,definition,
! [X0,X1,X2,X3] :
( sQ290_spl
<=> ( rS(X0,sK6_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK6_skl,X3)
| rS(X0,sK6_skl,X2)
| ron(sK6_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3667,plain,
( ~ sQ227_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3638,f3664,f1343,f1502,f3239]) ).
fof(f3672,definition,
! [X0,X1,X2,X3,X4] :
( sQ292_spl
<=> ( rS(sK6_skl,X0,vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ ron(sK6_skl,X2)
| ~ ron(sK6_skl,X1)
| ~ rS(X3,sK6_skl,X1)
| ~ rS(sK6_skl,X0,X2)
| ~ rS(sK6_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3675,plain,
( ~ sQ227_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3640,f3672,f1343,f1502,f3239]) ).
fof(f3677,definition,
! [X0,X1,X2,X3,X4] :
( sQ293_spl
<=> ( rS(sK6_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK6_skl,X3)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,vd1197)
| ~ rS(sK6_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK6_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3680,plain,
( ~ sQ227_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3642,f3677,f1343,f1502,f3239]) ).
fof(f3682,definition,
! [X0,X1,X2,X3,X4] :
( sQ294_spl
<=> ( rS(X0,sK6_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(sK6_skl,X1)
| ~ rS(X0,sK6_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK6_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3685,plain,
( ~ sQ227_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3644,f3682,f1343,f1502,f3239]) ).
fof(f3694,plain,
! [X0] :
( ~ sQ237_spl
| rS(sK0_skl,X0,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rS(sK0_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f3298,f854]) ).
fof(f3696,plain,
! [X0,X1,X2,X3] :
( ~ sQ237_spl
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1197)
| ~ 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)],[f3298,f848]) ).
fof(f3698,plain,
! [X0,X1,X2,X3] :
( ~ sQ237_spl
| ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1197)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1197)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f3298,f848]) ).
fof(f3699,plain,
! [X0,X1,X2,X3] :
( ~ sQ237_spl
| rS(X0,sK0_skl,X3)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1197)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1197)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f3298,f847]) ).
fof(f3701,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ237_spl
| rS(sK0_skl,X0,vd1197)
| ~ rline(vd1197)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1197)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1197)
| ~ 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)],[f3298,f846]) ).
fof(f3703,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ237_spl
| rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1197)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1197)
| ~ ron(sK0_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)],[f3298,f846]) ).
fof(f3705,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ237_spl
| rS(X0,sK0_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,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f3298,f846]) ).
fof(f3708,definition,
! [X0] :
( sQ296_spl
<=> ( rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3711,plain,
( ~ sQ237_spl
| ~ sQ27_spl
| ~ sQ64_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3694,f3708,f1502,f1169,f3297]) ).
fof(f3716,definition,
! [X0,X1,X2,X3] :
( sQ298_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(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3719,plain,
( ~ sQ237_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3696,f3716,f1169,f1502,f3297]) ).
fof(f3721,definition,
! [X0,X1,X2,X3] :
( sQ299_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(sK0_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3724,plain,
( ~ sQ237_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3698,f3721,f1169,f1502,f3297]) ).
fof(f3725,definition,
! [X0,X1,X2,X3] :
( sQ300_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(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3728,plain,
( ~ sQ237_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3699,f3725,f1169,f1502,f3297]) ).
fof(f3730,definition,
! [X0,X1,X2,X3,X4] :
( sQ301_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(sK0_skl,X1)
| ~ rS(X3,sK0_skl,X1)
| ~ rS(sK0_skl,X0,X2)
| ~ rS(sK0_skl,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3733,plain,
( ~ sQ237_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3701,f3730,f1169,f1502,f3297]) ).
fof(f3735,definition,
! [X0,X1,X2,X3,X4] :
( sQ302_spl
<=> ( rS(sK0_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(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,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3738,plain,
( ~ sQ237_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3703,f3735,f1169,f1502,f3297]) ).
fof(f3740,definition,
! [X0,X1,X2,X3,X4] :
( sQ303_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(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3743,plain,
( ~ sQ237_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3705,f3740,f1169,f1502,f3297]) ).
fof(f3752,plain,
! [X0] :
( ~ sQ247_spl
| rS(sK0_skl,X0,vd1234)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1234)
| ~ rS(sK0_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f3356,f854]) ).
fof(f3754,plain,
! [X0,X1,X2,X3] :
( ~ sQ247_spl
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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)],[f3356,f848]) ).
fof(f3756,plain,
! [X0,X1,X2,X3] :
( ~ sQ247_spl
| ~ rS(X0,sK0_skl,X3)
| ~ rline(vd1234)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f3356,f848]) ).
fof(f3757,plain,
! [X0,X1,X2,X3] :
( ~ sQ247_spl
| rS(X0,sK0_skl,X3)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ),
inference(resolution,[status(thm)],[f3356,f847]) ).
fof(f3759,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ247_spl
| rS(sK0_skl,X0,vd1234)
| ~ rline(vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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)],[f3356,f846]) ).
fof(f3761,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ247_spl
| rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rline(vd1234)
| ~ rpoint(X4)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f3356,f846]) ).
fof(f3763,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ247_spl
| rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ),
inference(resolution,[status(thm)],[f3356,f846]) ).
fof(f3766,definition,
! [X0] :
( sQ305_spl
<=> ( rS(sK0_skl,X0,vd1234)
| ~ rpoint(X0)
| ~ rS(sK0_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3769,plain,
( ~ sQ247_spl
| ~ sQ27_spl
| ~ sQ67_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3752,f3766,f1513,f1169,f3355]) ).
fof(f3774,definition,
! [X0,X1,X2,X3] :
( sQ307_spl
<=> ( ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ ron(X3,X2)
| ~ ron(X3,vd1234)
| ~ 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,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3777,plain,
( ~ sQ247_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3754,f3774,f1169,f1513,f3355]) ).
fof(f3779,definition,
! [X0,X1,X2,X3] :
( sQ308_spl
<=> ( ~ rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X2,vd1234)
| ~ ron(X2,X3)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3782,plain,
( ~ sQ247_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3756,f3779,f1169,f1513,f3355]) ).
fof(f3783,definition,
! [X0,X1,X2,X3] :
( sQ309_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X1,vd1234)
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X2)
| ~ ron(sK0_skl,X3)
| rS(X0,sK0_skl,X2)
| ron(sK0_skl,X2)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3786,plain,
( ~ sQ247_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3757,f3783,f1169,f1513,f3355]) ).
fof(f3788,definition,
! [X0,X1,X2,X3,X4] :
( sQ310_spl
<=> ( rS(sK0_skl,X0,vd1234)
| ~ rline(X2)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,vd1234)
| ~ 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,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3791,plain,
( ~ sQ247_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3759,f3788,f1169,f1513,f3355]) ).
fof(f3793,definition,
! [X0,X1,X2,X3,X4] :
( sQ311_spl
<=> ( rS(sK0_skl,X0,X3)
| ~ rline(X3)
| ~ rline(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ ron(X4,X3)
| ~ ron(X4,X2)
| ~ ron(X4,vd1234)
| ~ ron(sK0_skl,X3)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,vd1234)
| ~ rS(sK0_skl,X1,X3)
| ~ rS(X1,X0,X2)
| ~ rS(sK0_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3796,plain,
( ~ sQ247_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3761,f3793,f1169,f1513,f3355]) ).
fof(f3798,definition,
! [X0,X1,X2,X3,X4] :
( sQ312_spl
<=> ( rS(X0,sK0_skl,X3)
| ~ rline(X3)
| ~ rline(X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(X4,X3)
| ~ ron(X4,vd1234)
| ~ ron(X4,X1)
| ~ ron(X2,X3)
| ~ ron(X0,vd1234)
| ~ ron(sK0_skl,X1)
| ~ rS(X0,sK0_skl,X3)
| ~ rS(X2,X0,X1)
| ~ rS(X0,sK0_skl,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3801,plain,
( ~ sQ247_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3763,f3798,f1169,f1513,f3355]) ).
fof(f3837,plain,
( ~ sQ181_spl
| sK10_skl(sK3_skl,sK4_skl) = sK10_skl(sK3_skl,sK4_skl)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl) ),
inference(paramodulation,[status(thm)],[f2584,f798]) ).
fof(f3839,plain,
! [X0,X1,X2] :
( ~ sQ181_spl
| X2 = X1
| ~ rpoint(X0)
| ~ rpoint(sK3_skl)
| ~ rcenter(sK4_skl,X2)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK3_skl,X1)
| vf(sK4_skl,X0) != sK10_skl(sK3_skl,sK4_skl) ),
inference(paramodulation,[status(thm)],[f2584,f832]) ).
fof(f3841,plain,
! [X0] :
( ~ sQ181_spl
| vplus(vf(X0,sK4_skl),sK10_skl(sK3_skl,sK4_skl)) = vf(X0,sK3_skl)
| ~ rpoint(X0)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| ~ rR(sK4_skl,X0,sK3_skl) ),
inference(paramodulation,[status(thm)],[f2584,f805]) ).
fof(f3842,plain,
! [X0] :
( ~ sQ181_spl
| vplus(sK10_skl(sK3_skl,sK4_skl),vf(sK3_skl,X0)) = vf(sK4_skl,X0)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| ~ rpoint(X0)
| ~ rR(sK3_skl,sK4_skl,X0) ),
inference(paramodulation,[status(thm)],[f2584,f805]) ).
fof(f3843,definition,
( sQ319_spl
<=> sK10_skl(sK3_skl,sK4_skl) = sK10_skl(sK3_skl,sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3846,plain,
( ~ sQ181_spl
| sQ319_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3837,f1081,f1084,f3843,f2541]) ).
fof(f3848,definition,
! [X0,X1,X2] :
( sQ320_spl
<=> ( X2 = X1
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X2)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK3_skl,X1)
| vf(sK4_skl,X0) != sK10_skl(sK3_skl,sK4_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3851,plain,
( ~ sQ181_spl
| ~ sQ14_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3839,f3848,f1081,f2541]) ).
fof(f3853,definition,
! [X0] :
( sQ321_spl
<=> ( vplus(vf(X0,sK4_skl),sK10_skl(sK3_skl,sK4_skl)) = vf(X0,sK3_skl)
| ~ rpoint(X0)
| ~ rR(sK4_skl,X0,sK3_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3856,plain,
( ~ sQ181_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3841,f3853,f1081,f1084,f2541]) ).
fof(f3857,definition,
! [X0] :
( sQ322_spl
<=> ( vplus(sK10_skl(sK3_skl,sK4_skl),vf(sK3_skl,X0)) = vf(sK4_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK3_skl,sK4_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3860,plain,
( ~ sQ181_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3842,f3857,f1081,f1084,f2541]) ).
fof(f3885,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| vf(sK4_skl,sK3_skl) = sK10_skl(sK6_skl,sK7_skl) ),
inference(backward_demodulation,[status(thm)],[f2592,f2584]) ).
fof(f3887,plain,
( ~ sQ188_spl
| rreal(sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl) ),
inference(paramodulation,[status(thm)],[f2592,f799]) ).
fof(f3888,definition,
( sQ323_spl
<=> rreal(sK10_skl(sK6_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3891,plain,
( ~ sQ188_spl
| sQ323_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f3887,f1081,f1084,f3888,f2591]) ).
fof(f4002,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| vf(sK7_skl,sK6_skl) = sK10_skl(sK6_skl,sK7_skl) ),
inference(forward_demodulation,[status(thm)],[f2592,f2542]) ).
fof(f4003,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| sK10_skl(sK6_skl,sK7_skl) = sK10_skl(sK6_skl,sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl) ),
inference(paramodulation,[status(thm)],[f4002,f798]) ).
fof(f4004,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| rleq(vd684,sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl) ),
inference(paramodulation,[status(thm)],[f4002,f2500]) ).
fof(f4005,plain,
! [X0,X1,X2] :
( ~ sQ181_spl
| ~ sQ188_spl
| X2 = X1
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rcenter(sK7_skl,X2)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK6_skl,X1)
| vf(sK7_skl,X0) != sK10_skl(sK6_skl,sK7_skl) ),
inference(paramodulation,[status(thm)],[f4002,f832]) ).
fof(f4007,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ188_spl
| vplus(vf(X0,sK7_skl),sK10_skl(sK6_skl,sK7_skl)) = vf(X0,sK6_skl)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl)
| ~ rR(sK7_skl,X0,sK6_skl) ),
inference(paramodulation,[status(thm)],[f4002,f805]) ).
fof(f4008,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ188_spl
| vplus(sK10_skl(sK6_skl,sK7_skl),vf(sK6_skl,X0)) = vf(sK7_skl,X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rR(sK6_skl,sK7_skl,X0) ),
inference(paramodulation,[status(thm)],[f4002,f805]) ).
fof(f4009,definition,
( sQ341_spl
<=> sK10_skl(sK6_skl,sK7_skl) = sK10_skl(sK6_skl,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f4012,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| sQ341_spl
| ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4003,f1343,f1172,f4009,f2591,f2541]) ).
fof(f4013,definition,
( sQ342_spl
<=> rleq(vd684,sK10_skl(sK6_skl,sK7_skl)) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f4016,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| sQ342_spl
| ~ sQ28_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f4004,f1343,f1172,f4013,f2591,f2541]) ).
fof(f4017,definition,
! [X0,X1,X2] :
( sQ343_spl
<=> ( X2 = X1
| ~ rpoint(X0)
| ~ rcenter(sK7_skl,X2)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK6_skl,X1)
| vf(sK7_skl,X0) != sK10_skl(sK6_skl,sK7_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f4020,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4005,f4017,f1343,f2591,f2541]) ).
fof(f4022,definition,
! [X0] :
( sQ344_spl
<=> ( vplus(vf(X0,sK7_skl),sK10_skl(sK6_skl,sK7_skl)) = vf(X0,sK6_skl)
| ~ rpoint(X0)
| ~ rR(sK7_skl,X0,sK6_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f4025,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ28_spl
| ~ sQ44_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4007,f4022,f1343,f1172,f2591,f2541]) ).
fof(f4026,definition,
! [X0] :
( sQ345_spl
<=> ( vplus(sK10_skl(sK6_skl,sK7_skl),vf(sK6_skl,X0)) = vf(sK7_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK6_skl,sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f4029,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ28_spl
| ~ sQ44_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4008,f4026,f1343,f1172,f2591,f2541]) ).
fof(f4032,plain,
! [X0,X1,X2] :
( ~ sQ181_spl
| ~ sQ188_spl
| X2 = X1
| ~ rpoint(X0)
| ~ rpoint(sK3_skl)
| ~ rcenter(sK4_skl,X2)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK3_skl,X1)
| vf(sK4_skl,X0) != sK10_skl(sK6_skl,sK7_skl) ),
inference(paramodulation,[status(thm)],[f3885,f832]) ).
fof(f4034,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ188_spl
| vplus(vf(X0,sK4_skl),sK10_skl(sK6_skl,sK7_skl)) = vf(X0,sK3_skl)
| ~ rpoint(X0)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| ~ rR(sK4_skl,X0,sK3_skl) ),
inference(paramodulation,[status(thm)],[f3885,f805]) ).
fof(f4035,plain,
! [X0] :
( ~ sQ181_spl
| ~ sQ188_spl
| vplus(sK10_skl(sK6_skl,sK7_skl),vf(sK3_skl,X0)) = vf(sK4_skl,X0)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| ~ rpoint(X0)
| ~ rR(sK3_skl,sK4_skl,X0) ),
inference(paramodulation,[status(thm)],[f3885,f805]) ).
fof(f4038,definition,
! [X0,X1,X2] :
( sQ346_spl
<=> ( X2 = X1
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X2)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X2)
| ~ ron(sK3_skl,X1)
| vf(sK4_skl,X0) != sK10_skl(sK6_skl,sK7_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f4041,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4032,f4038,f1081,f2591,f2541]) ).
fof(f4043,definition,
! [X0] :
( sQ347_spl
<=> ( vplus(vf(X0,sK4_skl),sK10_skl(sK6_skl,sK7_skl)) = vf(X0,sK3_skl)
| ~ rpoint(X0)
| ~ rR(sK4_skl,X0,sK3_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f4046,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4034,f4043,f1081,f1084,f2591,f2541]) ).
fof(f4047,definition,
! [X0] :
( sQ348_spl
<=> ( vplus(sK10_skl(sK6_skl,sK7_skl),vf(sK3_skl,X0)) = vf(sK4_skl,X0)
| ~ rpoint(X0)
| ~ rR(sK3_skl,sK4_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f4050,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ15_spl
| ~ sQ14_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4035,f4047,f1081,f1084,f2591,f2541]) ).
fof(f4132,plain,
! [X0] :
( ~ sQ183_spl
| ron(sK0_skl,X0)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2564,f715]) ).
fof(f4133,plain,
! [X0] :
( ~ sQ183_spl
| ron(sK0_skl,X0)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2564,f710]) ).
fof(f4134,plain,
! [X0] :
( ~ sQ183_spl
| ron(sK0_skl,X0)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2564,f705]) ).
fof(f4135,plain,
! [X0] :
( ~ sQ184_spl
| ron(sK7_skl,X0)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2568,f715]) ).
fof(f4136,plain,
! [X0] :
( ~ sQ184_spl
| ron(sK7_skl,X0)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2568,f710]) ).
fof(f4137,plain,
! [X0] :
( ~ sQ184_spl
| ron(sK7_skl,X0)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2568,f705]) ).
fof(f4139,plain,
! [X0] :
( ~ sQ182_spl
| ron(sK6_skl,X0)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2558,f715]) ).
fof(f4140,plain,
! [X0] :
( ~ sQ182_spl
| ron(sK6_skl,X0)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2558,f710]) ).
fof(f4141,plain,
! [X0] :
( ~ sQ182_spl
| ron(sK6_skl,X0)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f2558,f705]) ).
fof(f4202,definition,
( sQ365_spl
<=> sP2_prd(vd1197,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f4203,plain,
( ~ sQ365_spl
| sP2_prd(vd1197,sK7_skl) ),
inference(component_clause,[status(thm)],[f4202]) ).
fof(f4206,definition,
( sQ366_spl
<=> sP1_prd(vd1197,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f4207,plain,
( ~ sQ366_spl
| sP1_prd(vd1197,sK7_skl) ),
inference(component_clause,[status(thm)],[f4206]) ).
fof(f4210,definition,
( sQ367_spl
<=> sP0_prd(vd1197,sK7_skl) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f4211,plain,
( ~ sQ367_spl
| sP0_prd(vd1197,sK7_skl) ),
inference(component_clause,[status(thm)],[f4210]) ).
fof(f4214,plain,
( ~ sQ367_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4211,f1145]) ).
fof(f4215,plain,
~ sQ367_spl,
inference(contradiction_clause,[status(thm)],[f4214]) ).
fof(f4216,plain,
( ~ sQ366_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4207,f1249]) ).
fof(f4217,plain,
~ sQ366_spl,
inference(contradiction_clause,[status(thm)],[f4216]) ).
fof(f4218,plain,
( ~ sQ365_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4203,f1255]) ).
fof(f4219,plain,
~ sQ365_spl,
inference(contradiction_clause,[status(thm)],[f4218]) ).
fof(f4281,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| sK4_skl = sK3_skl
| sK10_skl(sK6_skl,sK7_skl) != vd684
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl) ),
inference(paramodulation,[status(thm)],[f3885,f1492]) ).
fof(f4288,definition,
( sQ371_spl
<=> sK10_skl(sK6_skl,sK7_skl) = vd684 ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f4291,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| sQ34_spl
| ~ sQ371_spl
| ~ sQ15_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f4281,f1081,f1084,f4288,f1276,f2591,f2541]) ).
fof(f4396,definition,
( sQ379_spl
<=> sP2_prd(vd1234,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f4397,plain,
( ~ sQ379_spl
| sP2_prd(vd1234,sK6_skl) ),
inference(component_clause,[status(thm)],[f4396]) ).
fof(f4400,definition,
( sQ380_spl
<=> sP1_prd(vd1234,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f4401,plain,
( ~ sQ380_spl
| sP1_prd(vd1234,sK6_skl) ),
inference(component_clause,[status(thm)],[f4400]) ).
fof(f4404,definition,
( sQ381_spl
<=> sP0_prd(vd1234,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f4405,plain,
( ~ sQ381_spl
| sP0_prd(vd1234,sK6_skl) ),
inference(component_clause,[status(thm)],[f4404]) ).
fof(f4408,plain,
( ~ sQ381_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4405,f1144]) ).
fof(f4409,plain,
~ sQ381_spl,
inference(contradiction_clause,[status(thm)],[f4408]) ).
fof(f4410,plain,
( ~ sQ380_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4401,f1250]) ).
fof(f4411,plain,
~ sQ380_spl,
inference(contradiction_clause,[status(thm)],[f4410]) ).
fof(f4412,plain,
( ~ sQ379_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4397,f1256]) ).
fof(f4413,plain,
~ sQ379_spl,
inference(contradiction_clause,[status(thm)],[f4412]) ).
fof(f4462,plain,
! [X0] :
( ~ sQ10_spl
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f773]) ).
fof(f4473,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f4462]) ).
fof(f4488,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f4473]) ).
fof(f4684,plain,
! [X0,X1] :
( rinside(X0,sK14_skl(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f828,f440]) ).
fof(f4697,definition,
( sQ391_spl
<=> rpoint(sK31_skl(sK7_skl,vd1234)) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f4699,plain,
( sQ391_spl
| ~ rpoint(sK31_skl(sK7_skl,vd1234)) ),
inference(component_clause,[status(thm)],[f4697]) ).
fof(f4705,plain,
( sQ391_spl
| ~ rline(vd1234)
| ~ rpoint(sK7_skl)
| ron(sK7_skl,vd1234) ),
inference(resolution,[status(thm)],[f4699,f905]) ).
fof(f4706,plain,
( sQ391_spl
| ~ sQ67_spl
| ~ sQ28_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f4705,f1734,f1172,f1513,f4697]) ).
fof(f4755,definition,
( sQ398_spl
<=> rpoint(sK31_skl(sK6_skl,vd1197)) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f4757,plain,
( sQ398_spl
| ~ rpoint(sK31_skl(sK6_skl,vd1197)) ),
inference(component_clause,[status(thm)],[f4755]) ).
fof(f4763,plain,
( sQ398_spl
| ~ rline(vd1197)
| ~ rpoint(sK6_skl)
| ron(sK6_skl,vd1197) ),
inference(resolution,[status(thm)],[f4757,f905]) ).
fof(f4764,plain,
( sQ398_spl
| ~ sQ64_spl
| ~ sQ44_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f4763,f1730,f1343,f1502,f4755]) ).
fof(f4813,definition,
( sQ405_spl
<=> rpoint(sK31_skl(sK0_skl,vd1197)) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f4815,plain,
( sQ405_spl
| ~ rpoint(sK31_skl(sK0_skl,vd1197)) ),
inference(component_clause,[status(thm)],[f4813]) ).
fof(f4821,plain,
( sQ405_spl
| ~ rline(vd1197)
| ~ rpoint(sK0_skl)
| ron(sK0_skl,vd1197) ),
inference(resolution,[status(thm)],[f4815,f905]) ).
fof(f4822,plain,
( sQ405_spl
| ~ sQ64_spl
| ~ sQ27_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f4821,f1525,f1169,f1502,f4813]) ).
fof(f4874,definition,
( sQ412_spl
<=> rpoint(sK31_skl(sK0_skl,vd1234)) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f4876,plain,
( sQ412_spl
| ~ rpoint(sK31_skl(sK0_skl,vd1234)) ),
inference(component_clause,[status(thm)],[f4874]) ).
fof(f4882,plain,
( sQ412_spl
| ~ rline(vd1234)
| ~ rpoint(sK0_skl)
| ron(sK0_skl,vd1234) ),
inference(resolution,[status(thm)],[f4876,f905]) ).
fof(f4883,plain,
( sQ412_spl
| ~ sQ67_spl
| ~ sQ27_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f4882,f1725,f1169,f1513,f4874]) ).
fof(f4937,plain,
! [X0] :
( ~ sQ182_spl
| rintersect(vd1234,sK14_skl(X0,sK6_skl))
| ~ rcircle(sK14_skl(X0,sK6_skl))
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| sK6_skl = X0 ),
inference(resolution,[status(thm)],[f4684,f2558]) ).
fof(f4938,plain,
! [X0] :
( ~ sQ183_spl
| rintersect(vd1232,sK14_skl(X0,sK0_skl))
| ~ rcircle(sK14_skl(X0,sK0_skl))
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| sK0_skl = X0 ),
inference(resolution,[status(thm)],[f4684,f2564]) ).
fof(f4939,plain,
! [X0] :
( ~ sQ184_spl
| rintersect(vd1197,sK14_skl(X0,sK7_skl))
| ~ rcircle(sK14_skl(X0,sK7_skl))
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| sK7_skl = X0 ),
inference(resolution,[status(thm)],[f4684,f2568]) ).
fof(f4955,definition,
! [X0] :
( sQ421_spl
<=> ( rintersect(vd1234,sK14_skl(X0,sK6_skl))
| ~ rcircle(sK14_skl(X0,sK6_skl))
| ~ rpoint(X0)
| sK6_skl = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f4958,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f4937,f4955,f1343,f2557]) ).
fof(f4959,definition,
! [X0] :
( sQ422_spl
<=> ( rintersect(vd1232,sK14_skl(X0,sK0_skl))
| ~ rcircle(sK14_skl(X0,sK0_skl))
| ~ rpoint(X0)
| sK0_skl = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f4962,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f4938,f4959,f1169,f2563]) ).
fof(f4963,definition,
! [X0] :
( sQ423_spl
<=> ( rintersect(vd1197,sK14_skl(X0,sK7_skl))
| ~ rcircle(sK14_skl(X0,sK7_skl))
| ~ rpoint(X0)
| sK7_skl = X0 ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f4966,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f4939,f4963,f1172,f2567]) ).
fof(f5019,plain,
( ~ sQ68_spl
| ~ sQ211_spl
| rS(sK7_skl,sK7_skl,vd1234)
| ~ rpoint(sK7_skl) ),
inference(resolution,[status(thm)],[f3157,f1517]) ).
fof(f5022,plain,
( ~ sQ68_spl
| ~ sQ211_spl
| sQ217_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5019,f1172,f3181,f3156,f1516]) ).
fof(f5270,plain,
! [X0] :
( ~ sQ199_spl
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| X0 = sK6_skl
| rintersect(vd1232,sK14_skl(sK6_skl,X0))
| ~ rline(sK14_skl(sK6_skl,X0))
| ~ ron(sK7_skl,sK14_skl(sK6_skl,X0)) ),
inference(resolution,[status(thm)],[f2654,f827]) ).
fof(f5271,plain,
! [X0] :
( ~ sQ199_spl
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| sK6_skl = X0
| rintersect(vd1232,sK9_skl(X0,sK6_skl))
| ~ rline(sK9_skl(X0,sK6_skl))
| ~ ron(sK7_skl,sK9_skl(X0,sK6_skl)) ),
inference(resolution,[status(thm)],[f2654,f780]) ).
fof(f5272,plain,
! [X0] :
( ~ sQ199_spl
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| X0 = sK6_skl
| rintersect(vd1232,sK9_skl(sK6_skl,X0))
| ~ rline(sK9_skl(sK6_skl,X0))
| ~ ron(sK7_skl,sK9_skl(sK6_skl,X0)) ),
inference(resolution,[status(thm)],[f2654,f779]) ).
fof(f5277,definition,
! [X0] :
( sQ454_spl
<=> ( ~ rpoint(X0)
| X0 = sK6_skl
| rintersect(vd1232,sK14_skl(sK6_skl,X0))
| ~ rline(sK14_skl(sK6_skl,X0))
| ~ ron(sK7_skl,sK14_skl(sK6_skl,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f5280,plain,
( ~ sQ199_spl
| ~ sQ44_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f5270,f5277,f1343,f2653]) ).
fof(f5281,definition,
! [X0] :
( sQ455_spl
<=> ( ~ rpoint(X0)
| sK6_skl = X0
| rintersect(vd1232,sK9_skl(X0,sK6_skl))
| ~ rline(sK9_skl(X0,sK6_skl))
| ~ ron(sK7_skl,sK9_skl(X0,sK6_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f5284,plain,
( ~ sQ199_spl
| ~ sQ44_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f5271,f5281,f1343,f2653]) ).
fof(f5285,definition,
! [X0] :
( sQ456_spl
<=> ( ~ rpoint(X0)
| X0 = sK6_skl
| rintersect(vd1232,sK9_skl(sK6_skl,X0))
| ~ rline(sK9_skl(sK6_skl,X0))
| ~ ron(sK7_skl,sK9_skl(sK6_skl,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f5288,plain,
( ~ sQ199_spl
| ~ sQ44_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f5272,f5285,f1343,f2653]) ).
fof(f5453,definition,
( sQ485_spl
<=> vf(sK7_skl,sK8_skl) = vf(sK7_skl,sK8_skl) ),
introduced(definition,[new_symbols(definition,[sQ485_spl])],[split_symbol_definition]) ).
fof(f5455,plain,
( sQ485_spl
| vf(sK7_skl,sK8_skl) != vf(sK7_skl,sK8_skl) ),
inference(component_clause,[status(thm)],[f5453]) ).
fof(f5521,plain,
( sQ485_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5455]) ).
fof(f5522,plain,
sQ485_spl,
inference(contradiction_clause,[status(thm)],[f5521]) ).
fof(f5594,definition,
! [X0] :
( sQ501_spl
<=> ( ~ rline(X0)
| ron(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ501_spl])],[split_symbol_definition]) ).
fof(f5595,plain,
! [X0] :
( ~ sQ501_spl
| ~ rline(X0)
| ron(sK6_skl,X0) ),
inference(component_clause,[status(thm)],[f5594]) ).
fof(f5622,definition,
! [X0] :
( sQ509_spl
<=> ( ~ rline(X0)
| ron(sK7_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ509_spl])],[split_symbol_definition]) ).
fof(f5623,plain,
! [X0] :
( ~ sQ509_spl
| ~ rline(X0)
| ron(sK7_skl,X0) ),
inference(component_clause,[status(thm)],[f5622]) ).
fof(f5629,definition,
! [X0] :
( sQ511_spl
<=> ( ~ rline(X0)
| ron(sK0_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f5630,plain,
! [X0] :
( ~ sQ511_spl
| ~ rline(X0)
| ron(sK0_skl,X0) ),
inference(component_clause,[status(thm)],[f5629]) ).
fof(f5739,plain,
( sQ89_spl
| ~ sQ509_spl
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f5623,f1736]) ).
fof(f5745,plain,
( sQ89_spl
| ~ sQ509_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f5739,f1513,f5622,f1734]) ).
fof(f5751,plain,
( sQ87_spl
| ~ sQ511_spl
| ~ rline(vd1234) ),
inference(resolution,[status(thm)],[f5630,f1727]) ).
fof(f5758,plain,
( sQ87_spl
| ~ sQ511_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f5751,f1513,f5629,f1725]) ).
fof(f5764,plain,
( ~ sQ501_spl
| ~ rline(vd1232) ),
inference(resolution,[status(thm)],[f5595,f1053]) ).
fof(f5770,plain,
( ~ sQ501_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f5764,f1136,f5594]) ).
fof(f5930,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rless(vplus(vperp,vperp),vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)) = vplus(vperp,vperp)
| ~ rreal(vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| ~ rreal(vplus(vperp,vperp))
| rS(X7,X0,X2)
| ~ ron(X7,X6)
| ~ ron(X7,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X7)
| ~ rline(X6)
| ~ rline(X2)
| ~ rline(X5)
| ~ ron(X0,X6)
| ~ ron(X3,X6)
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| ~ ron(X4,X5)
| ~ ron(X1,X5)
| X3 = X4
| ~ rS(X0,X1,X2) ),
inference(resolution,[status(thm)],[f987,f837]) ).
fof(f5941,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ543_spl
<=> ( rless(vplus(vperp,vperp),vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)) = vplus(vperp,vperp)
| ~ rreal(vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| rS(X7,X0,X2)
| ~ ron(X7,X6)
| ~ ron(X7,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X7)
| ~ rline(X6)
| ~ rline(X2)
| ~ rline(X5)
| ~ ron(X0,X6)
| ~ ron(X3,X6)
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| ~ ron(X4,X5)
| ~ ron(X1,X5)
| X3 = X4
| ~ rS(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ543_spl])],[split_symbol_definition]) ).
fof(f5944,definition,
( sQ544_spl
<=> rreal(vplus(vperp,vperp)) ),
introduced(definition,[new_symbols(definition,[sQ544_spl])],[split_symbol_definition]) ).
fof(f5947,plain,
( ~ sQ544_spl
| sQ543_spl ),
inference(split_clause,[status(thm)],[f5930,f5941,f5944]) ).
fof(f6155,definition,
! [X0] :
( sQ567_spl
<=> ( ~ rpoint(X0)
| sK4_skl = X0
| ~ rline(sK9_skl(X0,sK4_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ567_spl])],[split_symbol_definition]) ).
fof(f6156,plain,
! [X0] :
( ~ sQ567_spl
| ~ rpoint(X0)
| sK4_skl = X0
| ~ rline(sK9_skl(X0,sK4_skl)) ),
inference(component_clause,[status(thm)],[f6155]) ).
fof(f6159,definition,
! [X0] :
( sQ568_spl
<=> ( ~ rpoint(X0)
| X0 = sK4_skl
| ~ rline(sK9_skl(sK4_skl,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ568_spl])],[split_symbol_definition]) ).
fof(f6160,plain,
! [X0] :
( ~ sQ568_spl
| ~ rpoint(X0)
| X0 = sK4_skl
| ~ rline(sK9_skl(sK4_skl,X0)) ),
inference(component_clause,[status(thm)],[f6159]) ).
fof(f6182,definition,
! [X0] :
( sQ570_spl
<=> ( ~ rpoint(X0)
| sK5_skl = X0
| ~ rline(sK9_skl(X0,sK5_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ570_spl])],[split_symbol_definition]) ).
fof(f6183,plain,
! [X0] :
( ~ sQ570_spl
| ~ rpoint(X0)
| sK5_skl = X0
| ~ rline(sK9_skl(X0,sK5_skl)) ),
inference(component_clause,[status(thm)],[f6182]) ).
fof(f6186,definition,
! [X0] :
( sQ571_spl
<=> ( ~ rpoint(X0)
| X0 = sK5_skl
| ~ rline(sK9_skl(sK5_skl,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ571_spl])],[split_symbol_definition]) ).
fof(f6187,plain,
! [X0] :
( ~ sQ571_spl
| ~ rpoint(X0)
| X0 = sK5_skl
| ~ rline(sK9_skl(sK5_skl,X0)) ),
inference(component_clause,[status(thm)],[f6186]) ).
fof(f6207,plain,
! [X0] :
( ~ sQ571_spl
| ~ rpoint(X0)
| X0 = sK5_skl
| ~ rpoint(X0)
| ~ rpoint(sK5_skl)
| X0 = sK5_skl ),
inference(resolution,[status(thm)],[f781,f6187]) ).
fof(f6208,plain,
! [X0] :
( ~ sQ568_spl
| ~ rpoint(X0)
| X0 = sK4_skl
| ~ rpoint(X0)
| ~ rpoint(sK4_skl)
| X0 = sK4_skl ),
inference(resolution,[status(thm)],[f781,f6160]) ).
fof(f6209,plain,
! [X0] :
( ~ sQ570_spl
| ~ rpoint(X0)
| sK5_skl = X0
| ~ rpoint(sK5_skl)
| ~ rpoint(X0)
| sK5_skl = X0 ),
inference(resolution,[status(thm)],[f781,f6183]) ).
fof(f6210,plain,
! [X0] :
( ~ sQ567_spl
| ~ rpoint(X0)
| sK4_skl = X0
| ~ rpoint(sK4_skl)
| ~ rpoint(X0)
| sK4_skl = X0 ),
inference(resolution,[status(thm)],[f781,f6156]) ).
fof(f6211,definition,
! [X0] :
( sQ574_spl
<=> ( ~ rpoint(X0)
| X0 = sK5_skl
| ~ rpoint(X0)
| X0 = sK5_skl ) ),
introduced(definition,[new_symbols(definition,[sQ574_spl])],[split_symbol_definition]) ).
fof(f6212,plain,
! [X0] :
( ~ sQ574_spl
| ~ rpoint(X0)
| X0 = sK5_skl
| ~ rpoint(X0)
| X0 = sK5_skl ),
inference(component_clause,[status(thm)],[f6211]) ).
fof(f6214,plain,
( ~ sQ571_spl
| ~ sQ16_spl
| sQ574_spl ),
inference(split_clause,[status(thm)],[f6207,f6211,f1087,f6186]) ).
fof(f6215,definition,
! [X0] :
( sQ575_spl
<=> ( ~ rpoint(X0)
| X0 = sK4_skl
| ~ rpoint(X0)
| X0 = sK4_skl ) ),
introduced(definition,[new_symbols(definition,[sQ575_spl])],[split_symbol_definition]) ).
fof(f6216,plain,
! [X0] :
( ~ sQ575_spl
| ~ rpoint(X0)
| X0 = sK4_skl
| ~ rpoint(X0)
| X0 = sK4_skl ),
inference(component_clause,[status(thm)],[f6215]) ).
fof(f6218,plain,
( ~ sQ568_spl
| ~ sQ15_spl
| sQ575_spl ),
inference(split_clause,[status(thm)],[f6208,f6215,f1084,f6159]) ).
fof(f6219,plain,
( ~ sQ570_spl
| ~ sQ16_spl
| sQ574_spl ),
inference(split_clause,[status(thm)],[f6209,f6211,f1087,f6182]) ).
fof(f6220,plain,
( ~ sQ567_spl
| ~ sQ15_spl
| sQ575_spl ),
inference(split_clause,[status(thm)],[f6210,f6215,f1084,f6155]) ).
fof(f6221,plain,
! [X0] :
( ~ sQ574_spl
| ~ rpoint(X0)
| X0 = sK5_skl ),
inference(duplicate_literals_removal,[status(thm)],[f6212]) ).
fof(f6222,plain,
! [X0] :
( ~ sQ575_spl
| ~ rpoint(X0)
| X0 = sK4_skl ),
inference(duplicate_literals_removal,[status(thm)],[f6216]) ).
fof(f6248,plain,
( ~ sQ574_spl
| sK4_skl = sK5_skl ),
inference(resolution,[status(thm)],[f6221,f202]) ).
fof(f6252,plain,
( ~ sQ574_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f6248,f1078,f6211]) ).
fof(f6278,plain,
( ~ sQ575_spl
| sK5_skl = sK4_skl ),
inference(resolution,[status(thm)],[f6222,f204]) ).
fof(f6283,plain,
( ~ sQ575_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f6278,f1078,f6215]) ).
fof(f6657,definition,
( sQ626_spl
<=> vf(sK4_skl,sK3_skl) = vf(sK7_skl,sK6_skl) ),
introduced(definition,[new_symbols(definition,[sQ626_spl])],[split_symbol_definition]) ).
fof(f6659,plain,
( sQ626_spl
| vf(sK4_skl,sK3_skl) != vf(sK7_skl,sK6_skl) ),
inference(component_clause,[status(thm)],[f6657]) ).
fof(f6741,plain,
( sQ626_spl
| ~ sQ181_spl
| ~ sQ188_spl
| sK10_skl(sK6_skl,sK7_skl) != vf(sK7_skl,sK6_skl) ),
inference(forward_demodulation,[status(thm)],[f3885,f6659]) ).
fof(f6742,plain,
( sQ626_spl
| ~ sQ181_spl
| ~ sQ188_spl
| sK10_skl(sK6_skl,sK7_skl) != sK10_skl(sK6_skl,sK7_skl) ),
inference(forward_demodulation,[status(thm)],[f4002,f6741]) ).
fof(f6743,plain,
( sQ626_spl
| ~ sQ181_spl
| ~ sQ188_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6742]) ).
fof(f6744,plain,
( sQ626_spl
| ~ sQ181_spl
| ~ sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f6743]) ).
fof(f6957,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ9_spl
| rless(vplus(vperp,vperp),vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)) = vplus(vperp,vperp)
| ~ rreal(vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| ~ rreal(vplus(vperp,vperp))
| rintersect(X6,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X6)
| ~ rline(X2)
| ~ rline(X5)
| ~ ron(X0,X6)
| ~ ron(X3,X6)
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| ~ ron(X4,X5)
| ~ ron(X1,X5)
| X3 = X4
| ~ rS(X0,X1,X2) ),
inference(resolution,[status(thm)],[f996,f837]) ).
fof(f6972,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ668_spl
<=> ( rless(vplus(vperp,vperp),vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)) = vplus(vperp,vperp)
| ~ rreal(vplus(vangle(X0,X3,X4),vangle(X3,X4,X1)))
| rintersect(X6,X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rline(X6)
| ~ rline(X2)
| ~ rline(X5)
| ~ ron(X0,X6)
| ~ ron(X3,X6)
| ~ ron(X3,X2)
| ~ ron(X4,X2)
| ~ ron(X4,X5)
| ~ ron(X1,X5)
| X3 = X4
| ~ rS(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ668_spl])],[split_symbol_definition]) ).
fof(f6975,plain,
( ~ sQ9_spl
| ~ sQ544_spl
| sQ668_spl ),
inference(split_clause,[status(thm)],[f6957,f6972,f5944,f769]) ).
fof(f8411,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ~ ron(sK3_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) = vf(sK4_skl,X0)
| ~ rpoint(sK3_skl)
| ~ rcenter(sK4_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f3885,f796]) ).
fof(f8412,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ~ ron(sK6_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) = vf(sK7_skl,X0)
| ~ rpoint(sK6_skl)
| ~ rcenter(sK7_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f4002,f796]) ).
fof(f8425,definition,
! [X0,X1] :
( sQ806_spl
<=> ( ~ ron(sK3_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) = vf(sK4_skl,X0)
| ~ rcenter(sK4_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition]) ).
fof(f8428,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ806_spl ),
inference(split_clause,[status(thm)],[f8411,f8425,f1081,f2591,f2541]) ).
fof(f8429,definition,
! [X0,X1] :
( sQ807_spl
<=> ( ~ ron(sK6_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) = vf(sK7_skl,X0)
| ~ rcenter(sK7_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ807_spl])],[split_symbol_definition]) ).
fof(f8432,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ807_spl ),
inference(split_clause,[status(thm)],[f8412,f8429,f1343,f2591,f2541]) ).
fof(f8470,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ron(sK3_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) != vf(sK4_skl,X0)
| ~ rpoint(sK3_skl)
| ~ rcenter(sK4_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f3885,f795]) ).
fof(f8471,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ron(sK6_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) != vf(sK7_skl,X0)
| ~ rpoint(sK6_skl)
| ~ rcenter(sK7_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f4002,f795]) ).
fof(f8477,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ron(X1,X0)
| vf(sK4_skl,X1) != sK10_skl(sK6_skl,sK7_skl)
| ~ rpoint(X1)
| ~ rcenter(sK4_skl,X0)
| ~ rpoint(sK3_skl)
| ~ ron(sK3_skl,X0) ),
inference(paramodulation,[status(thm)],[f3885,f795]) ).
fof(f8478,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ron(X1,X0)
| vf(sK7_skl,X1) != sK10_skl(sK6_skl,sK7_skl)
| ~ rpoint(X1)
| ~ rcenter(sK7_skl,X0)
| ~ rpoint(sK6_skl)
| ~ ron(sK6_skl,X0) ),
inference(paramodulation,[status(thm)],[f4002,f795]) ).
fof(f8489,definition,
! [X0,X1] :
( sQ813_spl
<=> ( ron(sK3_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) != vf(sK4_skl,X0)
| ~ rcenter(sK4_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ813_spl])],[split_symbol_definition]) ).
fof(f8492,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ813_spl ),
inference(split_clause,[status(thm)],[f8470,f8489,f1081,f2591,f2541]) ).
fof(f8493,definition,
! [X0,X1] :
( sQ814_spl
<=> ( ron(sK6_skl,X1)
| sK10_skl(sK6_skl,sK7_skl) != vf(sK7_skl,X0)
| ~ rcenter(sK7_skl,X1)
| ~ rpoint(X0)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ814_spl])],[split_symbol_definition]) ).
fof(f8496,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ814_spl ),
inference(split_clause,[status(thm)],[f8471,f8493,f1343,f2591,f2541]) ).
fof(f8517,definition,
! [X0,X1] :
( sQ820_spl
<=> ( ron(X1,X0)
| vf(sK4_skl,X1) != sK10_skl(sK6_skl,sK7_skl)
| ~ rpoint(X1)
| ~ rcenter(sK4_skl,X0)
| ~ ron(sK3_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ820_spl])],[split_symbol_definition]) ).
fof(f8520,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ820_spl ),
inference(split_clause,[status(thm)],[f8477,f8517,f1081,f2591,f2541]) ).
fof(f8521,definition,
! [X0,X1] :
( sQ821_spl
<=> ( ron(X1,X0)
| vf(sK7_skl,X1) != sK10_skl(sK6_skl,sK7_skl)
| ~ rpoint(X1)
| ~ rcenter(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ821_spl])],[split_symbol_definition]) ).
fof(f8524,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ821_spl ),
inference(split_clause,[status(thm)],[f8478,f8521,f1343,f2591,f2541]) ).
fof(f8548,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ~ rinside(sK3_skl,X1)
| rless(sK10_skl(sK6_skl,sK7_skl),vf(sK4_skl,X0))
| ~ rpoint(sK3_skl)
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f3885,f786]) ).
fof(f8549,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ~ rinside(sK6_skl,X1)
| rless(sK10_skl(sK6_skl,sK7_skl),vf(sK7_skl,X0))
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f4002,f786]) ).
fof(f8555,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ~ rinside(X1,X0)
| rless(vf(sK4_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rpoint(sK3_skl)
| ~ rcenter(sK4_skl,X0)
| ~ ron(sK3_skl,X0) ),
inference(paramodulation,[status(thm)],[f3885,f786]) ).
fof(f8556,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| ~ rinside(X1,X0)
| rless(vf(sK7_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rpoint(sK6_skl)
| ~ rcenter(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ),
inference(paramodulation,[status(thm)],[f4002,f786]) ).
fof(f8563,definition,
! [X0,X1] :
( sQ827_spl
<=> ( ~ rinside(sK3_skl,X1)
| rless(sK10_skl(sK6_skl,sK7_skl),vf(sK4_skl,X0))
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ827_spl])],[split_symbol_definition]) ).
fof(f8566,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ827_spl ),
inference(split_clause,[status(thm)],[f8548,f8563,f1081,f2591,f2541]) ).
fof(f8567,definition,
! [X0,X1] :
( sQ828_spl
<=> ( ~ rinside(sK6_skl,X1)
| rless(sK10_skl(sK6_skl,sK7_skl),vf(sK7_skl,X0))
| ~ rpoint(X0)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ828_spl])],[split_symbol_definition]) ).
fof(f8570,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ828_spl ),
inference(split_clause,[status(thm)],[f8549,f8567,f1343,f2591,f2541]) ).
fof(f8591,definition,
! [X0,X1] :
( sQ834_spl
<=> ( ~ rinside(X1,X0)
| rless(vf(sK4_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rcenter(sK4_skl,X0)
| ~ ron(sK3_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ834_spl])],[split_symbol_definition]) ).
fof(f8594,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ834_spl ),
inference(split_clause,[status(thm)],[f8555,f8591,f1081,f2591,f2541]) ).
fof(f8595,definition,
! [X0,X1] :
( sQ835_spl
<=> ( ~ rinside(X1,X0)
| rless(vf(sK7_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rcenter(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ835_spl])],[split_symbol_definition]) ).
fof(f8598,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ835_spl ),
inference(split_clause,[status(thm)],[f8556,f8595,f1343,f2591,f2541]) ).
fof(f8621,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| rinside(sK3_skl,X1)
| ~ rless(sK10_skl(sK6_skl,sK7_skl),vf(sK4_skl,X0))
| ~ rpoint(sK3_skl)
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f3885,f785]) ).
fof(f8622,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| rinside(sK6_skl,X1)
| ~ rless(sK10_skl(sK6_skl,sK7_skl),vf(sK7_skl,X0))
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X1) ),
inference(paramodulation,[status(thm)],[f4002,f785]) ).
fof(f8628,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| rinside(X1,X0)
| ~ rless(vf(sK4_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rpoint(sK3_skl)
| ~ rcenter(sK4_skl,X0)
| ~ ron(sK3_skl,X0) ),
inference(paramodulation,[status(thm)],[f3885,f785]) ).
fof(f8629,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ sQ188_spl
| rinside(X1,X0)
| ~ rless(vf(sK7_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rpoint(sK6_skl)
| ~ rcenter(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ),
inference(paramodulation,[status(thm)],[f4002,f785]) ).
fof(f8636,definition,
! [X0,X1] :
( sQ841_spl
<=> ( rinside(sK3_skl,X1)
| ~ rless(sK10_skl(sK6_skl,sK7_skl),vf(sK4_skl,X0))
| ~ rpoint(X0)
| ~ rcenter(sK4_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ841_spl])],[split_symbol_definition]) ).
fof(f8639,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ841_spl ),
inference(split_clause,[status(thm)],[f8621,f8636,f1081,f2591,f2541]) ).
fof(f8640,definition,
! [X0,X1] :
( sQ842_spl
<=> ( rinside(sK6_skl,X1)
| ~ rless(sK10_skl(sK6_skl,sK7_skl),vf(sK7_skl,X0))
| ~ rpoint(X0)
| ~ rcenter(sK7_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ842_spl])],[split_symbol_definition]) ).
fof(f8643,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ842_spl ),
inference(split_clause,[status(thm)],[f8622,f8640,f1343,f2591,f2541]) ).
fof(f8664,definition,
! [X0,X1] :
( sQ848_spl
<=> ( rinside(X1,X0)
| ~ rless(vf(sK4_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rcenter(sK4_skl,X0)
| ~ ron(sK3_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ848_spl])],[split_symbol_definition]) ).
fof(f8667,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ14_spl
| sQ848_spl ),
inference(split_clause,[status(thm)],[f8628,f8664,f1081,f2591,f2541]) ).
fof(f8668,definition,
! [X0,X1] :
( sQ849_spl
<=> ( rinside(X1,X0)
| ~ rless(vf(sK7_skl,X1),sK10_skl(sK6_skl,sK7_skl))
| ~ rpoint(X1)
| ~ rcenter(sK7_skl,X0)
| ~ ron(sK6_skl,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ849_spl])],[split_symbol_definition]) ).
fof(f8671,plain,
( ~ sQ181_spl
| ~ sQ188_spl
| ~ sQ44_spl
| sQ849_spl ),
inference(split_clause,[status(thm)],[f8629,f8668,f1343,f2591,f2541]) ).
fof(f9122,plain,
! [X0,X1] :
( ~ sQ231_spl
| rS(sK0_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(vd1197)
| ron(sK6_skl,vd1197)
| ron(X0,vd1197)
| ron(X1,vd1197)
| rS(sK6_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f853,f3273]) ).
fof(f9124,plain,
! [X0,X1] :
( ~ sQ221_spl
| rS(sK6_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(vd1197)
| ron(sK0_skl,vd1197)
| ron(X0,vd1197)
| ron(X1,vd1197)
| rS(sK0_skl,X0,vd1197) ),
inference(resolution,[status(thm)],[f853,f3215]) ).
fof(f9126,plain,
! [X0,X1] :
( ~ sQ211_spl
| rS(sK7_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(vd1234)
| ron(sK0_skl,vd1234)
| ron(X0,vd1234)
| ron(X1,vd1234)
| rS(sK0_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f853,f3157]) ).
fof(f9130,plain,
! [X0,X1] :
( ~ sQ241_spl
| rS(sK0_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(vd1234)
| ron(sK7_skl,vd1234)
| ron(X0,vd1234)
| ron(X1,vd1234)
| rS(sK7_skl,X0,vd1234) ),
inference(resolution,[status(thm)],[f853,f3331]) ).
fof(f9135,plain,
! [X0,X1] :
( ~ sQ231_spl
| rS(sK0_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(X0)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rline(vd1197)
| ron(X0,vd1197)
| ron(sK6_skl,vd1197)
| ron(X1,vd1197)
| rS(X0,sK6_skl,vd1197) ),
inference(resolution,[status(thm)],[f853,f3273]) ).
fof(f9136,plain,
! [X0,X1] :
( ~ sQ221_spl
| rS(sK6_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rline(vd1197)
| ron(X0,vd1197)
| ron(sK0_skl,vd1197)
| ron(X1,vd1197)
| rS(X0,sK0_skl,vd1197) ),
inference(resolution,[status(thm)],[f853,f3215]) ).
fof(f9137,plain,
! [X0,X1] :
( ~ sQ211_spl
| rS(sK7_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rline(vd1234)
| ron(X0,vd1234)
| ron(sK0_skl,vd1234)
| ron(X1,vd1234)
| rS(X0,sK0_skl,vd1234) ),
inference(resolution,[status(thm)],[f853,f3157]) ).
fof(f9139,plain,
! [X0,X1] :
( ~ sQ241_spl
| rS(sK0_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rline(vd1234)
| ron(X0,vd1234)
| ron(sK7_skl,vd1234)
| ron(X1,vd1234)
| rS(X0,sK7_skl,vd1234) ),
inference(resolution,[status(thm)],[f853,f3331]) ).
fof(f9147,definition,
! [X0,X1] :
( sQ882_spl
<=> ( rS(sK0_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1197)
| ron(X1,vd1197)
| rS(sK6_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ882_spl])],[split_symbol_definition]) ).
fof(f9150,plain,
( ~ sQ231_spl
| ~ sQ44_spl
| ~ sQ64_spl
| sQ88_spl
| sQ882_spl ),
inference(split_clause,[status(thm)],[f9122,f9147,f1730,f1502,f1343,f3272]) ).
fof(f9155,definition,
! [X0,X1] :
( sQ884_spl
<=> ( rS(sK6_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1197)
| ron(X1,vd1197)
| rS(sK0_skl,X0,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ884_spl])],[split_symbol_definition]) ).
fof(f9158,plain,
( ~ sQ221_spl
| ~ sQ27_spl
| ~ sQ64_spl
| sQ69_spl
| sQ884_spl ),
inference(split_clause,[status(thm)],[f9124,f9155,f1525,f1502,f1169,f3214]) ).
fof(f9163,definition,
! [X0,X1] :
( sQ886_spl
<=> ( rS(sK7_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1234)
| ron(X1,vd1234)
| rS(sK0_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ886_spl])],[split_symbol_definition]) ).
fof(f9166,plain,
( ~ sQ211_spl
| ~ sQ27_spl
| ~ sQ67_spl
| sQ87_spl
| sQ886_spl ),
inference(split_clause,[status(thm)],[f9126,f9163,f1725,f1513,f1169,f3156]) ).
fof(f9173,definition,
! [X0,X1] :
( sQ888_spl
<=> ( rS(sK0_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1234)
| ron(X1,vd1234)
| rS(sK7_skl,X0,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ888_spl])],[split_symbol_definition]) ).
fof(f9176,plain,
( ~ sQ241_spl
| ~ sQ28_spl
| ~ sQ67_spl
| sQ89_spl
| sQ888_spl ),
inference(split_clause,[status(thm)],[f9130,f9173,f1734,f1513,f1172,f3330]) ).
fof(f9181,definition,
! [X0,X1] :
( sQ889_spl
<=> ( rS(sK0_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1197)
| ron(X1,vd1197)
| rS(X0,sK6_skl,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ889_spl])],[split_symbol_definition]) ).
fof(f9184,plain,
( ~ sQ231_spl
| ~ sQ44_spl
| ~ sQ64_spl
| sQ88_spl
| sQ889_spl ),
inference(split_clause,[status(thm)],[f9135,f9181,f1730,f1502,f1343,f3272]) ).
fof(f9185,definition,
! [X0,X1] :
( sQ890_spl
<=> ( rS(sK6_skl,X1,vd1197)
| ~ rpoint(X1)
| rS(X0,X1,vd1197)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1197)
| ron(X1,vd1197)
| rS(X0,sK0_skl,vd1197) ) ),
introduced(definition,[new_symbols(definition,[sQ890_spl])],[split_symbol_definition]) ).
fof(f9188,plain,
( ~ sQ221_spl
| ~ sQ27_spl
| ~ sQ64_spl
| sQ69_spl
| sQ890_spl ),
inference(split_clause,[status(thm)],[f9136,f9185,f1525,f1502,f1169,f3214]) ).
fof(f9189,definition,
! [X0,X1] :
( sQ891_spl
<=> ( rS(sK7_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1234)
| ron(X1,vd1234)
| rS(X0,sK0_skl,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ891_spl])],[split_symbol_definition]) ).
fof(f9192,plain,
( ~ sQ211_spl
| ~ sQ27_spl
| ~ sQ67_spl
| sQ87_spl
| sQ891_spl ),
inference(split_clause,[status(thm)],[f9137,f9189,f1725,f1513,f1169,f3156]) ).
fof(f9194,definition,
! [X0,X1] :
( sQ892_spl
<=> ( rS(sK0_skl,X1,vd1234)
| ~ rpoint(X1)
| rS(X0,X1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ron(X0,vd1234)
| ron(X1,vd1234)
| rS(X0,sK7_skl,vd1234) ) ),
introduced(definition,[new_symbols(definition,[sQ892_spl])],[split_symbol_definition]) ).
fof(f9197,plain,
( ~ sQ241_spl
| ~ sQ28_spl
| ~ sQ67_spl
| sQ89_spl
| sQ892_spl ),
inference(split_clause,[status(thm)],[f9139,f9194,f1734,f1513,f1172,f3330]) ).
fof(f9980,plain,
! [X0,X1] :
( ~ sQ231_spl
| rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| rintersect(vd1197,X1)
| ~ rpoint(sK6_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ ron(sK6_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f841,f3273]) ).
fof(f9981,plain,
! [X0,X1] :
( ~ sQ221_spl
| rS(sK6_skl,X0,vd1197)
| ~ rpoint(X0)
| rintersect(vd1197,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1197)
| ~ rline(X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f841,f3215]) ).
fof(f9982,plain,
! [X0,X1] :
( ~ sQ211_spl
| rS(sK7_skl,X0,vd1234)
| ~ rpoint(X0)
| rintersect(vd1234,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f841,f3157]) ).
fof(f9985,plain,
! [X0,X1] :
( ~ sQ241_spl
| rS(sK0_skl,X0,vd1234)
| ~ rpoint(X0)
| rintersect(vd1234,X1)
| ~ rpoint(sK7_skl)
| ~ rpoint(X0)
| ~ rline(vd1234)
| ~ rline(X1)
| ~ ron(sK7_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f841,f3331]) ).
fof(f10004,definition,
! [X0,X1] :
( sQ929_spl
<=> ( rS(sK0_skl,X0,vd1197)
| ~ rpoint(X0)
| rintersect(vd1197,X1)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ ron(sK6_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ929_spl])],[split_symbol_definition]) ).
fof(f10007,plain,
( ~ sQ231_spl
| ~ sQ44_spl
| ~ sQ64_spl
| sQ929_spl ),
inference(split_clause,[status(thm)],[f9980,f10004,f1502,f1343,f3272]) ).
fof(f10008,definition,
! [X0,X1] :
( sQ930_spl
<=> ( rS(sK6_skl,X0,vd1197)
| ~ rpoint(X0)
| rintersect(vd1197,X1)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ930_spl])],[split_symbol_definition]) ).
fof(f10011,plain,
( ~ sQ221_spl
| ~ sQ27_spl
| ~ sQ64_spl
| sQ930_spl ),
inference(split_clause,[status(thm)],[f9981,f10008,f1502,f1169,f3214]) ).
fof(f10012,definition,
! [X0,X1] :
( sQ931_spl
<=> ( rS(sK7_skl,X0,vd1234)
| ~ rpoint(X0)
| rintersect(vd1234,X1)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ ron(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ931_spl])],[split_symbol_definition]) ).
fof(f10015,plain,
( ~ sQ211_spl
| ~ sQ27_spl
| ~ sQ67_spl
| sQ931_spl ),
inference(split_clause,[status(thm)],[f9982,f10012,f1513,f1169,f3156]) ).
fof(f10021,definition,
! [X0,X1] :
( sQ933_spl
<=> ( rS(sK0_skl,X0,vd1234)
| ~ rpoint(X0)
| rintersect(vd1234,X1)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ ron(sK7_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ933_spl])],[split_symbol_definition]) ).
fof(f10024,plain,
( ~ sQ241_spl
| ~ sQ28_spl
| ~ sQ67_spl
| sQ933_spl ),
inference(split_clause,[status(thm)],[f9985,f10021,f1513,f1172,f3330]) ).
fof(f10541,plain,
! [X0,X1] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(sK0_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK0_skl,X1)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f840]) ).
fof(f10542,plain,
! [X0,X1] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK0_skl,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f807]) ).
fof(f10543,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK0_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f807]) ).
fof(f10545,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f807]) ).
fof(f10546,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK0_skl,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f2424]) ).
fof(f10548,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| X0 = X2
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| sK0_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f804]) ).
fof(f10553,plain,
! [X0] :
( ~ sQ183_spl
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rinside(sK0_skl,X0)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4132,f815]) ).
fof(f10560,definition,
! [X0,X1] :
( sQ987_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK0_skl,X1)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ987_spl])],[split_symbol_definition]) ).
fof(f10563,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ987_spl ),
inference(split_clause,[status(thm)],[f10541,f10560,f1169,f2563]) ).
fof(f10564,definition,
! [X0,X1] :
( sQ988_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK0_skl,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ988_spl])],[split_symbol_definition]) ).
fof(f10567,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ988_spl ),
inference(split_clause,[status(thm)],[f10542,f10564,f1169,f2563]) ).
fof(f10568,definition,
! [X0,X1,X2] :
( sQ989_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK0_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ989_spl])],[split_symbol_definition]) ).
fof(f10571,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ989_spl ),
inference(split_clause,[status(thm)],[f10543,f10568,f1169,f2563]) ).
fof(f10573,definition,
! [X0,X1,X2] :
( sQ990_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ990_spl])],[split_symbol_definition]) ).
fof(f10576,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ990_spl ),
inference(split_clause,[status(thm)],[f10545,f10573,f1169,f2563]) ).
fof(f10577,definition,
! [X0,X1,X2] :
( sQ991_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK0_skl,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ991_spl])],[split_symbol_definition]) ).
fof(f10580,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ991_spl ),
inference(split_clause,[status(thm)],[f10546,f10577,f1169,f2563]) ).
fof(f10585,definition,
! [X0,X1,X2] :
( sQ993_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK0_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ993_spl])],[split_symbol_definition]) ).
fof(f10588,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ993_spl ),
inference(split_clause,[status(thm)],[f10548,f10585,f1169,f2563]) ).
fof(f10593,definition,
! [X0] :
( sQ994_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK0_skl,X0)
| sP2_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ994_spl])],[split_symbol_definition]) ).
fof(f10596,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ994_spl ),
inference(split_clause,[status(thm)],[f10553,f10593,f1169,f2563]) ).
fof(f10604,plain,
! [X0,X1] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(sK0_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK0_skl,X1)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f840]) ).
fof(f10605,plain,
! [X0,X1] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK0_skl,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f807]) ).
fof(f10606,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK0_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f807]) ).
fof(f10608,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f807]) ).
fof(f10609,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK0_skl,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f2424]) ).
fof(f10611,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| X0 = X2
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| sK0_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f804]) ).
fof(f10616,plain,
! [X0] :
( ~ sQ183_spl
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rinside(sK0_skl,X0)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4133,f815]) ).
fof(f10623,definition,
! [X0,X1] :
( sQ995_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK0_skl,X1)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ995_spl])],[split_symbol_definition]) ).
fof(f10626,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ995_spl ),
inference(split_clause,[status(thm)],[f10604,f10623,f1169,f2563]) ).
fof(f10627,definition,
! [X0,X1] :
( sQ996_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK0_skl,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ996_spl])],[split_symbol_definition]) ).
fof(f10630,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ996_spl ),
inference(split_clause,[status(thm)],[f10605,f10627,f1169,f2563]) ).
fof(f10631,definition,
! [X0,X1,X2] :
( sQ997_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK0_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ997_spl])],[split_symbol_definition]) ).
fof(f10634,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ997_spl ),
inference(split_clause,[status(thm)],[f10606,f10631,f1169,f2563]) ).
fof(f10636,definition,
! [X0,X1,X2] :
( sQ998_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ998_spl])],[split_symbol_definition]) ).
fof(f10639,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ998_spl ),
inference(split_clause,[status(thm)],[f10608,f10636,f1169,f2563]) ).
fof(f10640,definition,
! [X0,X1,X2] :
( sQ999_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK0_skl,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ999_spl])],[split_symbol_definition]) ).
fof(f10643,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ999_spl ),
inference(split_clause,[status(thm)],[f10609,f10640,f1169,f2563]) ).
fof(f10648,definition,
! [X0,X1,X2] :
( sQ1001_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK0_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1001_spl])],[split_symbol_definition]) ).
fof(f10651,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1001_spl ),
inference(split_clause,[status(thm)],[f10611,f10648,f1169,f2563]) ).
fof(f10656,definition,
! [X0] :
( sQ1002_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK0_skl,X0)
| sP1_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1002_spl])],[split_symbol_definition]) ).
fof(f10659,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1002_spl ),
inference(split_clause,[status(thm)],[f10616,f10656,f1169,f2563]) ).
fof(f10667,plain,
! [X0,X1] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(sK0_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK0_skl,X1)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f840]) ).
fof(f10668,plain,
! [X0,X1] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK0_skl,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f807]) ).
fof(f10669,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK0_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f807]) ).
fof(f10671,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f807]) ).
fof(f10672,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| rintersect(X0,X2)
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK0_skl,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f2424]) ).
fof(f10674,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| X0 = X2
| ~ rpoint(sK0_skl)
| ~ rpoint(X1)
| sK0_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f804]) ).
fof(f10679,plain,
! [X0] :
( ~ sQ183_spl
| ~ rpoint(sK0_skl)
| ~ rcircle(X0)
| ~ rinside(sK0_skl,X0)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4134,f815]) ).
fof(f10686,definition,
! [X0,X1] :
( sQ1003_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK0_skl,X1)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1003_spl])],[split_symbol_definition]) ).
fof(f10689,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1003_spl ),
inference(split_clause,[status(thm)],[f10667,f10686,f1169,f2563]) ).
fof(f10690,definition,
! [X0,X1] :
( sQ1004_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK0_skl,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1004_spl])],[split_symbol_definition]) ).
fof(f10693,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1004_spl ),
inference(split_clause,[status(thm)],[f10668,f10690,f1169,f2563]) ).
fof(f10694,definition,
! [X0,X1,X2] :
( sQ1005_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK0_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1005_spl])],[split_symbol_definition]) ).
fof(f10697,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1005_spl ),
inference(split_clause,[status(thm)],[f10669,f10694,f1169,f2563]) ).
fof(f10699,definition,
! [X0,X1,X2] :
( sQ1006_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK0_skl,X1)
| rinside(sK0_skl,X1)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1006_spl])],[split_symbol_definition]) ).
fof(f10702,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1006_spl ),
inference(split_clause,[status(thm)],[f10671,f10699,f1169,f2563]) ).
fof(f10703,definition,
! [X0,X1,X2] :
( sQ1007_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK0_skl,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1007_spl])],[split_symbol_definition]) ).
fof(f10706,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1007_spl ),
inference(split_clause,[status(thm)],[f10672,f10703,f1169,f2563]) ).
fof(f10711,definition,
! [X0,X1,X2] :
( sQ1009_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK0_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK0_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1009_spl])],[split_symbol_definition]) ).
fof(f10714,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1009_spl ),
inference(split_clause,[status(thm)],[f10674,f10711,f1169,f2563]) ).
fof(f10719,definition,
! [X0] :
( sQ1010_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK0_skl,X0)
| sP0_prd(X0,sK0_skl)
| rintersect(vd1232,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1010_spl])],[split_symbol_definition]) ).
fof(f10722,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1010_spl ),
inference(split_clause,[status(thm)],[f10679,f10719,f1169,f2563]) ).
fof(f10800,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| sP0_prd(X2,sK0_skl)
| rintersect(vd1232,X2)
| ~ rcircle(X2)
| rintersect(X2,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f806,f4134]) ).
fof(f10801,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| sP1_prd(X2,sK0_skl)
| rintersect(vd1232,X2)
| ~ rcircle(X2)
| rintersect(X2,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f806,f4133]) ).
fof(f10802,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| sP2_prd(X2,sK0_skl)
| rintersect(vd1232,X2)
| ~ rcircle(X2)
| rintersect(X2,X1)
| ~ rpoint(sK0_skl)
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ),
inference(resolution,[status(thm)],[f806,f4132]) ).
fof(f10842,definition,
! [X0,X1,X2] :
( sQ1013_spl
<=> ( sP0_prd(X2,sK0_skl)
| rintersect(vd1232,X2)
| ~ rcircle(X2)
| rintersect(X2,X1)
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1013_spl])],[split_symbol_definition]) ).
fof(f10845,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1013_spl ),
inference(split_clause,[status(thm)],[f10800,f10842,f1169,f2563]) ).
fof(f10846,definition,
! [X0,X1,X2] :
( sQ1014_spl
<=> ( sP1_prd(X2,sK0_skl)
| rintersect(vd1232,X2)
| ~ rcircle(X2)
| rintersect(X2,X1)
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1014_spl])],[split_symbol_definition]) ).
fof(f10849,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1014_spl ),
inference(split_clause,[status(thm)],[f10801,f10846,f1169,f2563]) ).
fof(f10850,definition,
! [X0,X1,X2] :
( sQ1015_spl
<=> ( sP2_prd(X2,sK0_skl)
| rintersect(vd1232,X2)
| ~ rcircle(X2)
| rintersect(X2,X1)
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ rinside(sK0_skl,X1)
| ~ ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ1015_spl])],[split_symbol_definition]) ).
fof(f10853,plain,
( ~ sQ183_spl
| ~ sQ27_spl
| sQ1015_spl ),
inference(split_clause,[status(thm)],[f10802,f10850,f1169,f2563]) ).
fof(f11110,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| ~ ron(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f806]) ).
fof(f11111,plain,
! [X0,X1] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(sK7_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK7_skl,X1)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f840]) ).
fof(f11112,plain,
! [X0,X1] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK7_skl,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f807]) ).
fof(f11113,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK7_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f807]) ).
fof(f11115,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f807]) ).
fof(f11116,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f2424]) ).
fof(f11118,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| X0 = X2
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| sK7_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f804]) ).
fof(f11123,plain,
! [X0] :
( ~ sQ184_spl
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rinside(sK7_skl,X0)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4135,f815]) ).
fof(f11129,definition,
! [X0,X1,X2] :
( sQ1046_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| ~ ron(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1046_spl])],[split_symbol_definition]) ).
fof(f11132,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1046_spl ),
inference(split_clause,[status(thm)],[f11110,f11129,f1172,f2567]) ).
fof(f11133,definition,
! [X0,X1] :
( sQ1047_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK7_skl,X1)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1047_spl])],[split_symbol_definition]) ).
fof(f11136,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1047_spl ),
inference(split_clause,[status(thm)],[f11111,f11133,f1172,f2567]) ).
fof(f11137,definition,
! [X0,X1] :
( sQ1048_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK7_skl,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1048_spl])],[split_symbol_definition]) ).
fof(f11140,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1048_spl ),
inference(split_clause,[status(thm)],[f11112,f11137,f1172,f2567]) ).
fof(f11141,definition,
! [X0,X1,X2] :
( sQ1049_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK7_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1049_spl])],[split_symbol_definition]) ).
fof(f11144,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1049_spl ),
inference(split_clause,[status(thm)],[f11113,f11141,f1172,f2567]) ).
fof(f11146,definition,
! [X0,X1,X2] :
( sQ1050_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1050_spl])],[split_symbol_definition]) ).
fof(f11149,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1050_spl ),
inference(split_clause,[status(thm)],[f11115,f11146,f1172,f2567]) ).
fof(f11150,definition,
! [X0,X1,X2] :
( sQ1051_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1051_spl])],[split_symbol_definition]) ).
fof(f11153,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1051_spl ),
inference(split_clause,[status(thm)],[f11116,f11150,f1172,f2567]) ).
fof(f11158,definition,
! [X0,X1,X2] :
( sQ1053_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK7_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1053_spl])],[split_symbol_definition]) ).
fof(f11161,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1053_spl ),
inference(split_clause,[status(thm)],[f11118,f11158,f1172,f2567]) ).
fof(f11166,definition,
! [X0] :
( sQ1054_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK7_skl,X0)
| sP2_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1054_spl])],[split_symbol_definition]) ).
fof(f11169,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1054_spl ),
inference(split_clause,[status(thm)],[f11123,f11166,f1172,f2567]) ).
fof(f11176,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| ~ ron(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f806]) ).
fof(f11177,plain,
! [X0,X1] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(sK7_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK7_skl,X1)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f840]) ).
fof(f11178,plain,
! [X0,X1] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK7_skl,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f807]) ).
fof(f11179,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK7_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f807]) ).
fof(f11181,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f807]) ).
fof(f11182,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f2424]) ).
fof(f11184,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| X0 = X2
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| sK7_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f804]) ).
fof(f11189,plain,
! [X0] :
( ~ sQ184_spl
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rinside(sK7_skl,X0)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4136,f815]) ).
fof(f11195,definition,
! [X0,X1,X2] :
( sQ1055_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| ~ ron(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1055_spl])],[split_symbol_definition]) ).
fof(f11198,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1055_spl ),
inference(split_clause,[status(thm)],[f11176,f11195,f1172,f2567]) ).
fof(f11199,definition,
! [X0,X1] :
( sQ1056_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK7_skl,X1)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1056_spl])],[split_symbol_definition]) ).
fof(f11202,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1056_spl ),
inference(split_clause,[status(thm)],[f11177,f11199,f1172,f2567]) ).
fof(f11203,definition,
! [X0,X1] :
( sQ1057_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK7_skl,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1057_spl])],[split_symbol_definition]) ).
fof(f11206,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1057_spl ),
inference(split_clause,[status(thm)],[f11178,f11203,f1172,f2567]) ).
fof(f11207,definition,
! [X0,X1,X2] :
( sQ1058_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK7_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1058_spl])],[split_symbol_definition]) ).
fof(f11210,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1058_spl ),
inference(split_clause,[status(thm)],[f11179,f11207,f1172,f2567]) ).
fof(f11212,definition,
! [X0,X1,X2] :
( sQ1059_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1059_spl])],[split_symbol_definition]) ).
fof(f11215,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1059_spl ),
inference(split_clause,[status(thm)],[f11181,f11212,f1172,f2567]) ).
fof(f11216,definition,
! [X0,X1,X2] :
( sQ1060_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1060_spl])],[split_symbol_definition]) ).
fof(f11219,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1060_spl ),
inference(split_clause,[status(thm)],[f11182,f11216,f1172,f2567]) ).
fof(f11224,definition,
! [X0,X1,X2] :
( sQ1062_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK7_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1062_spl])],[split_symbol_definition]) ).
fof(f11227,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1062_spl ),
inference(split_clause,[status(thm)],[f11184,f11224,f1172,f2567]) ).
fof(f11232,definition,
! [X0] :
( sQ1063_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK7_skl,X0)
| sP1_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1063_spl])],[split_symbol_definition]) ).
fof(f11235,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1063_spl ),
inference(split_clause,[status(thm)],[f11189,f11232,f1172,f2567]) ).
fof(f11242,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| ~ ron(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f806]) ).
fof(f11243,plain,
! [X0,X1] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(sK7_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK7_skl,X1)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f840]) ).
fof(f11244,plain,
! [X0,X1] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(sK7_skl)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK7_skl,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f807]) ).
fof(f11245,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK7_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f807]) ).
fof(f11247,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f807]) ).
fof(f11248,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| rintersect(X0,X2)
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f2424]) ).
fof(f11250,plain,
! [X0,X1,X2] :
( ~ sQ184_spl
| X0 = X2
| ~ rpoint(sK7_skl)
| ~ rpoint(X1)
| sK7_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f804]) ).
fof(f11255,plain,
! [X0] :
( ~ sQ184_spl
| ~ rpoint(sK7_skl)
| ~ rcircle(X0)
| ~ rinside(sK7_skl,X0)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4137,f815]) ).
fof(f11261,definition,
! [X0,X1,X2] :
( sQ1064_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| ~ ron(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1064_spl])],[split_symbol_definition]) ).
fof(f11264,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1064_spl ),
inference(split_clause,[status(thm)],[f11242,f11261,f1172,f2567]) ).
fof(f11265,definition,
! [X0,X1] :
( sQ1065_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK7_skl,X1)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1065_spl])],[split_symbol_definition]) ).
fof(f11268,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1065_spl ),
inference(split_clause,[status(thm)],[f11243,f11265,f1172,f2567]) ).
fof(f11269,definition,
! [X0,X1] :
( sQ1066_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK7_skl,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1066_spl])],[split_symbol_definition]) ).
fof(f11272,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1066_spl ),
inference(split_clause,[status(thm)],[f11244,f11269,f1172,f2567]) ).
fof(f11273,definition,
! [X0,X1,X2] :
( sQ1067_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK7_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1067_spl])],[split_symbol_definition]) ).
fof(f11276,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1067_spl ),
inference(split_clause,[status(thm)],[f11245,f11273,f1172,f2567]) ).
fof(f11278,definition,
! [X0,X1,X2] :
( sQ1068_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK7_skl,X1)
| rinside(sK7_skl,X1)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1068_spl])],[split_symbol_definition]) ).
fof(f11281,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1068_spl ),
inference(split_clause,[status(thm)],[f11247,f11278,f1172,f2567]) ).
fof(f11282,definition,
! [X0,X1,X2] :
( sQ1069_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK7_skl,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1069_spl])],[split_symbol_definition]) ).
fof(f11285,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1069_spl ),
inference(split_clause,[status(thm)],[f11248,f11282,f1172,f2567]) ).
fof(f11290,definition,
! [X0,X1,X2] :
( sQ1071_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK7_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK7_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1071_spl])],[split_symbol_definition]) ).
fof(f11293,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1071_spl ),
inference(split_clause,[status(thm)],[f11250,f11290,f1172,f2567]) ).
fof(f11298,definition,
! [X0] :
( sQ1072_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK7_skl,X0)
| sP0_prd(X0,sK7_skl)
| rintersect(vd1197,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1072_spl])],[split_symbol_definition]) ).
fof(f11301,plain,
( ~ sQ184_spl
| ~ sQ28_spl
| sQ1072_spl ),
inference(split_clause,[status(thm)],[f11255,f11298,f1172,f2567]) ).
fof(f11308,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| ~ ron(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f806]) ).
fof(f11309,plain,
! [X0,X1] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(sK6_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK6_skl,X1)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f840]) ).
fof(f11310,plain,
! [X0,X1] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK6_skl,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f807]) ).
fof(f11311,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK6_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f807]) ).
fof(f11313,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f807]) ).
fof(f11314,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f2424]) ).
fof(f11316,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| X0 = X2
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| sK6_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f804]) ).
fof(f11321,plain,
! [X0] :
( ~ sQ182_spl
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rinside(sK6_skl,X0)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4139,f815]) ).
fof(f11327,definition,
! [X0,X1,X2] :
( sQ1073_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| ~ ron(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1073_spl])],[split_symbol_definition]) ).
fof(f11330,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1073_spl ),
inference(split_clause,[status(thm)],[f11308,f11327,f1343,f2557]) ).
fof(f11331,definition,
! [X0,X1] :
( sQ1074_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK6_skl,X1)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1074_spl])],[split_symbol_definition]) ).
fof(f11334,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1074_spl ),
inference(split_clause,[status(thm)],[f11309,f11331,f1343,f2557]) ).
fof(f11335,definition,
! [X0,X1] :
( sQ1075_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK6_skl,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1075_spl])],[split_symbol_definition]) ).
fof(f11338,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1075_spl ),
inference(split_clause,[status(thm)],[f11310,f11335,f1343,f2557]) ).
fof(f11339,definition,
! [X0,X1,X2] :
( sQ1076_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK6_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1076_spl])],[split_symbol_definition]) ).
fof(f11342,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1076_spl ),
inference(split_clause,[status(thm)],[f11311,f11339,f1343,f2557]) ).
fof(f11344,definition,
! [X0,X1,X2] :
( sQ1077_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1077_spl])],[split_symbol_definition]) ).
fof(f11347,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1077_spl ),
inference(split_clause,[status(thm)],[f11313,f11344,f1343,f2557]) ).
fof(f11348,definition,
! [X0,X1,X2] :
( sQ1078_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| rinside(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1078_spl])],[split_symbol_definition]) ).
fof(f11351,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1078_spl ),
inference(split_clause,[status(thm)],[f11314,f11348,f1343,f2557]) ).
fof(f11356,definition,
! [X0,X1,X2] :
( sQ1080_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK6_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1080_spl])],[split_symbol_definition]) ).
fof(f11359,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1080_spl ),
inference(split_clause,[status(thm)],[f11316,f11356,f1343,f2557]) ).
fof(f11364,definition,
! [X0] :
( sQ1081_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK6_skl,X0)
| sP2_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1081_spl])],[split_symbol_definition]) ).
fof(f11367,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1081_spl ),
inference(split_clause,[status(thm)],[f11321,f11364,f1343,f2557]) ).
fof(f11374,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| ~ ron(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f806]) ).
fof(f11375,plain,
! [X0,X1] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(sK6_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK6_skl,X1)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f840]) ).
fof(f11376,plain,
! [X0,X1] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK6_skl,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f807]) ).
fof(f11377,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK6_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f807]) ).
fof(f11379,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f807]) ).
fof(f11380,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f2424]) ).
fof(f11382,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| X0 = X2
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| sK6_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f804]) ).
fof(f11387,plain,
! [X0] :
( ~ sQ182_spl
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rinside(sK6_skl,X0)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4140,f815]) ).
fof(f11393,definition,
! [X0,X1,X2] :
( sQ1082_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| ~ ron(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1082_spl])],[split_symbol_definition]) ).
fof(f11396,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1082_spl ),
inference(split_clause,[status(thm)],[f11374,f11393,f1343,f2557]) ).
fof(f11397,definition,
! [X0,X1] :
( sQ1083_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK6_skl,X1)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1083_spl])],[split_symbol_definition]) ).
fof(f11400,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1083_spl ),
inference(split_clause,[status(thm)],[f11375,f11397,f1343,f2557]) ).
fof(f11401,definition,
! [X0,X1] :
( sQ1084_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK6_skl,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1084_spl])],[split_symbol_definition]) ).
fof(f11404,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1084_spl ),
inference(split_clause,[status(thm)],[f11376,f11401,f1343,f2557]) ).
fof(f11405,definition,
! [X0,X1,X2] :
( sQ1085_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK6_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1085_spl])],[split_symbol_definition]) ).
fof(f11408,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1085_spl ),
inference(split_clause,[status(thm)],[f11377,f11405,f1343,f2557]) ).
fof(f11410,definition,
! [X0,X1,X2] :
( sQ1086_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1086_spl])],[split_symbol_definition]) ).
fof(f11413,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1086_spl ),
inference(split_clause,[status(thm)],[f11379,f11410,f1343,f2557]) ).
fof(f11414,definition,
! [X0,X1,X2] :
( sQ1087_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| rinside(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1087_spl])],[split_symbol_definition]) ).
fof(f11417,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1087_spl ),
inference(split_clause,[status(thm)],[f11380,f11414,f1343,f2557]) ).
fof(f11422,definition,
! [X0,X1,X2] :
( sQ1089_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK6_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1089_spl])],[split_symbol_definition]) ).
fof(f11425,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1089_spl ),
inference(split_clause,[status(thm)],[f11382,f11422,f1343,f2557]) ).
fof(f11430,definition,
! [X0] :
( sQ1090_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK6_skl,X0)
| sP1_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1090_spl])],[split_symbol_definition]) ).
fof(f11433,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1090_spl ),
inference(split_clause,[status(thm)],[f11387,f11430,f1343,f2557]) ).
fof(f11440,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| ~ ron(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f806]) ).
fof(f11441,plain,
! [X0,X1] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(sK6_skl)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK6_skl,X1)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f840]) ).
fof(f11442,plain,
! [X0,X1] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(sK6_skl)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK6_skl,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f807]) ).
fof(f11443,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK6_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f807]) ).
fof(f11445,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f807]) ).
fof(f11446,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| rintersect(X0,X2)
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f2424]) ).
fof(f11448,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| X0 = X2
| ~ rpoint(sK6_skl)
| ~ rpoint(X1)
| sK6_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f804]) ).
fof(f11453,plain,
! [X0] :
( ~ sQ182_spl
| ~ rpoint(sK6_skl)
| ~ rcircle(X0)
| ~ rinside(sK6_skl,X0)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ),
inference(resolution,[status(thm)],[f4141,f815]) ).
fof(f11459,definition,
! [X0,X1,X2] :
( sQ1091_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| ~ ron(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1091_spl])],[split_symbol_definition]) ).
fof(f11462,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1091_spl ),
inference(split_clause,[status(thm)],[f11440,f11459,f1343,f2557]) ).
fof(f11463,definition,
! [X0,X1] :
( sQ1092_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X1)
| ~ rline(X0)
| ~ rinside(sK6_skl,X1)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1092_spl])],[split_symbol_definition]) ).
fof(f11466,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1092_spl ),
inference(split_clause,[status(thm)],[f11441,f11463,f1343,f2557]) ).
fof(f11467,definition,
! [X0,X1] :
( sQ1093_spl
<=> ( rintersect(X0,X1)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ rinside(sK6_skl,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1093_spl])],[split_symbol_definition]) ).
fof(f11470,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1093_spl ),
inference(split_clause,[status(thm)],[f11442,f11467,f1343,f2557]) ).
fof(f11471,definition,
! [X0,X1,X2] :
( sQ1094_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ ron(X1,X0)
| ~ rinside(sK6_skl,X2)
| ron(X1,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1094_spl])],[split_symbol_definition]) ).
fof(f11474,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1094_spl ),
inference(split_clause,[status(thm)],[f11443,f11471,f1343,f2557]) ).
fof(f11476,definition,
! [X0,X1,X2] :
( sQ1095_spl
<=> ( rintersect(X0,X1)
| ~ rpoint(X2)
| ~ rcircle(X0)
| ~ rcircle(X1)
| ~ ron(X2,X0)
| ~ rinside(X2,X1)
| ron(sK6_skl,X1)
| rinside(sK6_skl,X1)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1095_spl])],[split_symbol_definition]) ).
fof(f11479,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1095_spl ),
inference(split_clause,[status(thm)],[f11445,f11476,f1343,f2557]) ).
fof(f11480,definition,
! [X0,X1,X2] :
( sQ1096_spl
<=> ( rintersect(X0,X2)
| ~ rpoint(X1)
| ~ rcircle(X0)
| ~ rcircle(X2)
| ~ rinside(X1,X0)
| ~ rinside(sK6_skl,X2)
| rinside(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1096_spl])],[split_symbol_definition]) ).
fof(f11483,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1096_spl ),
inference(split_clause,[status(thm)],[f11446,f11480,f1343,f2557]) ).
fof(f11488,definition,
! [X0,X1,X2] :
( sQ1098_spl
<=> ( X0 = X2
| ~ rpoint(X1)
| sK6_skl = X1
| ~ rline(X0)
| ~ rline(X2)
| ~ ron(sK6_skl,X2)
| ~ ron(X1,X0)
| ~ ron(X1,X2)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1098_spl])],[split_symbol_definition]) ).
fof(f11491,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1098_spl ),
inference(split_clause,[status(thm)],[f11448,f11488,f1343,f2557]) ).
fof(f11496,definition,
! [X0] :
( sQ1099_spl
<=> ( ~ rcircle(X0)
| ~ rinside(sK6_skl,X0)
| sP0_prd(X0,sK6_skl)
| rintersect(vd1234,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1099_spl])],[split_symbol_definition]) ).
fof(f11499,plain,
( ~ sQ182_spl
| ~ sQ44_spl
| sQ1099_spl ),
inference(split_clause,[status(thm)],[f11453,f11496,f1343,f2557]) ).
fof(f12076,plain,
( ~ sQ42_spl
| ron(sK6_skl,vd1232)
| ~ rline(vd1232)
| ~ ron(sK8_skl,vd1232) ),
inference(resolution,[status(thm)],[f1338,f1008]) ).
fof(f12086,plain,
( ~ sQ42_spl
| sQ70_spl
| ~ sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f12076,f1133,f1136,f1532,f1337]) ).
fof(f12099,plain,
$false,
inference(sat_refutation,[status(thm)],[f743,f744,f745,f753,f757,f764,f768,f775,f998,f1106,f1108,f1110,f1112,f1114,f1141,f1143,f1191,f1193,f1195,f1224,f1292,f1346,f1364,f1380,f1508,f1512,f1519,f1521,f1523,f1540,f1689,f1697,f1699,f1707,f1717,f1728,f1729,f1733,f1802,f1817,f1831,f1902,f1904,f1906,f2008,f2012,f2016,f2109,f2146,f2194,f2295,f2299,f2421,f2479,f2519,f2544,f2560,f2566,f2570,f2594,f2598,f2602,f2607,f2611,f2656,f2676,f2852,f2989,f3159,f3167,f3172,f3176,f3180,f3191,f3196,f3217,f3225,f3230,f3234,f3238,f3249,f3254,f3275,f3283,f3288,f3292,f3296,f3307,f3312,f3333,f3341,f3346,f3350,f3354,f3365,f3370,f3399,f3443,f3466,f3489,f3589,f3597,f3602,f3606,f3614,f3619,f3624,f3629,f3650,f3658,f3663,f3667,f3675,f3680,f3685,f3711,f3719,f3724,f3728,f3733,f3738,f3743,f3769,f3777,f3782,f3786,f3791,f3796,f3801,f3846,f3851,f3856,f3860,f3891,f4012,f4016,f4020,f4025,f4029,f4041,f4046,f4050,f4215,f4217,f4219,f4291,f4409,f4411,f4413,f4488,f4706,f4764,f4822,f4883,f4958,f4962,f4966,f5022,f5280,f5284,f5288,f5522,f5745,f5758,f5770,f5947,f6214,f6218,f6219,f6220,f6252,f6283,f6744,f6975,f8428,f8432,f8492,f8496,f8520,f8524,f8566,f8570,f8594,f8598,f8639,f8643,f8667,f8671,f9150,f9158,f9166,f9176,f9184,f9188,f9192,f9197,f10007,f10011,f10015,f10024,f10563,f10567,f10571,f10576,f10580,f10588,f10596,f10626,f10630,f10634,f10639,f10643,f10651,f10659,f10689,f10693,f10697,f10702,f10706,f10714,f10722,f10845,f10849,f10853,f11132,f11136,f11140,f11144,f11149,f11153,f11161,f11169,f11198,f11202,f11206,f11210,f11215,f11219,f11227,f11235,f11264,f11268,f11272,f11276,f11281,f11285,f11293,f11301,f11330,f11334,f11338,f11342,f11347,f11351,f11359,f11367,f11396,f11400,f11404,f11408,f11413,f11417,f11425,f11433,f11462,f11466,f11470,f11474,f11479,f11483,f11491,f11499,f12086]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO297+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.02/0.35 % CPULimit : 300
% 0.02/0.35 % WCLimit : 300
% 0.02/0.35 % DateTime : Sun Sep 20 15:13:42 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.39 % Drodi V4.1.1
% 28.55/4.05 % Refutation found
% 28.55/4.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 28.55/4.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.55/4.09 % Elapsed time: 3.723124 seconds
% 28.55/4.09 % CPU time: 29.028828 seconds
% 28.55/4.09 % Total memory used: 240.804 MB
% 28.55/4.09 % Net memory used: 226.518 MB
%------------------------------------------------------------------------------