%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO326+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 : Tue Sep 29 09:52:27 AM UTC 2026
% Result : Theorem 129.05s 29.42s
% Output : Refutation 203.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 157
% Syntax : Number of formulae : 1793 ( 228 unt; 103 def)
% Number of atoms : 9464 (2964 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 12929 (5258 ~;7288 |; 246 &)
% ( 112 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 113 ( 111 usr; 104 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-4 aty)
% Number of variables : 2331 ( 0 sgn2262 !; 69 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1288,vd1329) = vf(vd1289,vd1302),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(377, 1347, 0)') ).
fof(f2,negated_conjecture,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1289,vd1302,vd1288) = vangle(vd1288,vd1329,vd1289),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(376), 1346, 0)') ).
fof(f6,axiom,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(375), 1343, 0)') ).
fof(f7,axiom,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(375)), 1344, 0)') ).
fof(f8,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(374, 1342, 0)') ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f10,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(373, 1341, 0)') ).
fof(f11,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f15,axiom,
~ rR(vd1287,vd1289,vd1302),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(372))') ).
fof(f16,axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(367), 1330, 0)') ).
fof(f17,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f18,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f19,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f20,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f21,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( rR(X2,X1,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f23,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f27,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f28,axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(367), 1331, 0)') ).
fof(f32,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f34,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(368))), 1334, 0)') ).
fof(f68,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ! [X4,X5] :
( ( X4 = X5
& X4 != X1
& X4 != X0
& rpoint(X5) )
=> vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)') ).
fof(f71,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f72,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(370)), 0)') ).
fof(f74,axiom,
vd1329 != vd1302,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)') ).
fof(f75,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f77,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f79,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f80,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f82,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f83,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof(f84,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof(f85,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rpoint(vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof(f86,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f88,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f89,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(370)), 0)') ).
fof(f90,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(369)), 0)') ).
fof(f91,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(369)), 0)') ).
fof(f92,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f93,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f94,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f95,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f98,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f99,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f102,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f106,axiom,
! [X0,X1,X2,X3] :
( ( rR(X3,X0,X1)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X3,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f110,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f115,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f117,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& rline(X4)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f118,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f119,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f120,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f132,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X1 != X2
& ron(X2,X5)
& ron(X1,X5)
& rinside(X0,X5)
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& X5 = X6
& rcircle(X6)
& X3 = X4
& rline(X4)
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) )
& ? [X9] :
( X0 = X9
& rpoint(X9) ) )
=> rR(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f177,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f186,plain,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(flattening,[],[f2]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(flattening,[],[f187]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f196,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f197]) ).
fof(f238,plain,
! [X0,X1] :
( ! [X4,X5] :
( vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1))
| X4 != X5
| X1 = X4
| X0 = X4
| ~ rpoint(X5) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f239,plain,
! [X0,X1] :
( ! [X4,X5] :
( vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1))
| X4 != X5
| X1 = X4
| X0 = X4
| ~ rpoint(X5) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f238]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f83]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f244]) ).
fof(f246,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f247,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f246]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f85]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f251,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f250]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f88]) ).
fof(f255,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f254]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f256]) ).
fof(f258,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f259,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f258]) ).
fof(f260,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f94]) ).
fof(f261,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f260]) ).
fof(f262,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f263,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f262]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f271,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f270]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f102]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f276]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f106]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f284]) ).
fof(f292,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f292]) ).
fof(f302,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f117]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f302]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f305,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f304]) ).
fof(f306,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f307,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f306]) ).
fof(f308,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f331,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(ennf_transformation,[],[f132]) ).
fof(f332,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(flattening,[],[f331]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f177]) ).
fof(f419,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f418]) ).
fof(f441,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK4
& rpoint(sK4)
& vd1288 = sK5
& rpoint(sK5)
& vd1287 = sK6
& rpoint(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f21]) ).
fof(f443,plain,
! [X0,X1] :
( ! [X2,X3] :
( vf(X0,X1) = vf(X2,vskolem1078(X2,X3,X0,X1))
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3) )
| X0 = X1
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(rectify,[],[f239]) ).
fof(f447,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f257]) ).
fof(f448,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f447]) ).
fof(f449,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f261]) ).
fof(f450,plain,
! [X0,X1] :
( ? [X2] :
( vf(X0,X1) = X2
& rreal(X2) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f263]) ).
fof(f451,plain,
! [X0,X1] :
( ( vf(X0,X1) = sK7(X0,X1)
& rreal(sK7(X0,X1)) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f450]) ).
fof(f452,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& ron(X0,X2)
& rline(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f271]) ).
fof(f453,plain,
! [X0,X1] :
( ( ron(X1,sK8(X0,X1))
& ron(X0,sK8(X0,X1))
& rline(sK8(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f452]) ).
fof(f459,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f277]) ).
fof(f463,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& rcenter(X0,X2)
& rcircle(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f293]) ).
fof(f464,plain,
! [X0,X1] :
( ( ron(X1,sK15(X0,X1))
& rcenter(X0,sK15(X0,X1))
& rcircle(sK15(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0,X1))],[f463]) ).
fof(f515,plain,
vf(vd1288,vd1329) != vf(vd1289,vd1302),
inference(cnf_transformation,[],[f186]) ).
fof(f516,plain,
vangle(vd1289,vd1302,vd1288) = vangle(vd1288,vd1329,vd1289),
inference(cnf_transformation,[],[f3]) ).
fof(f519,plain,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
inference(cnf_transformation,[],[f6]) ).
fof(f520,plain,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
inference(cnf_transformation,[],[f7]) ).
fof(f521,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f8]) ).
fof(f522,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| X6 != X7
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(cnf_transformation,[],[f188]) ).
fof(f523,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f10]) ).
fof(f524,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f11]) ).
fof(f537,plain,
~ rR(vd1287,vd1289,vd1302),
inference(cnf_transformation,[],[f15]) ).
fof(f538,plain,
rR(vd1329,vd1287,vd1299),
inference(cnf_transformation,[],[f16]) ).
fof(f539,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f17]) ).
fof(f540,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f18]) ).
fof(f541,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f19]) ).
fof(f542,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f19]) ).
fof(f543,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f19]) ).
fof(f544,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f19]) ).
fof(f545,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f20]) ).
fof(f546,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f441]) ).
fof(f547,plain,
vd1287 = sK6,
inference(cnf_transformation,[],[f441]) ).
fof(f548,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f441]) ).
fof(f549,plain,
vd1288 = sK5,
inference(cnf_transformation,[],[f441]) ).
fof(f550,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f441]) ).
fof(f551,plain,
vd1289 = sK4,
inference(cnf_transformation,[],[f441]) ).
fof(f554,plain,
vd1288 != vd1289,
inference(cnf_transformation,[],[f441]) ).
fof(f555,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f441]) ).
fof(f556,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f196]) ).
fof(f557,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f558,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f559,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f560,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f198]) ).
fof(f565,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f27]) ).
fof(f566,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(cnf_transformation,[],[f28]) ).
fof(f570,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f32]) ).
fof(f572,plain,
vd1302 != vd1287,
inference(cnf_transformation,[],[f34]) ).
fof(f606,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X2,vskolem1078(X2,X3,X0,X1))
| X2 != X3
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| X0 = X1
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f443]) ).
fof(f611,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f71]) ).
fof(f612,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f72]) ).
fof(f614,plain,
vd1329 != vd1302,
inference(cnf_transformation,[],[f74]) ).
fof(f615,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f75]) ).
fof(f617,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f77]) ).
fof(f619,plain,
rline(vd1297),
inference(cnf_transformation,[],[f79]) ).
fof(f620,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f80]) ).
fof(f622,plain,
rline(vd1295),
inference(cnf_transformation,[],[f82]) ).
fof(f623,plain,
! [X2,X3,X0,X1] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f624,plain,
! [X2,X3,X0,X1] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f625,plain,
! [X2,X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f626,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f251]) ).
fof(f628,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f255]) ).
fof(f629,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f89]) ).
fof(f630,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f90]) ).
fof(f631,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f91]) ).
fof(f632,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f448]) ).
fof(f633,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f448]) ).
fof(f634,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f448]) ).
fof(f635,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f259]) ).
fof(f636,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f449]) ).
fof(f637,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f449]) ).
fof(f639,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK7(X0,X1)
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f451]) ).
fof(f642,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f269]) ).
fof(f643,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f453]) ).
fof(f644,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f453]) ).
fof(f645,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f453]) ).
fof(f664,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f459]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f459]) ).
fof(f670,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f285]) ).
fof(f683,plain,
! [X3,X0,X1,X4] :
( rcircle(sK15(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f464]) ).
fof(f684,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK15(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f464]) ).
fof(f685,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK15(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f464]) ).
fof(f690,plain,
v0 = vd684,
inference(cnf_transformation,[],[f115]) ).
fof(f692,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f303]) ).
fof(f693,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f305]) ).
fof(f694,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X2) = vplus(vf(X0,X1),vf(X1,X2))
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f307]) ).
fof(f695,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f308]) ).
fof(f718,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f332]) ).
fof(f843,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(cnf_transformation,[],[f419]) ).
fof(f856,plain,
vf(sK5,vd1329) != vf(sK4,vd1303),
inference(definition_unfolding,[],[f515,f549,f551,f544]) ).
fof(f857,plain,
vangle(sK4,vd1303,sK5) = vangle(sK5,vd1329,sK4),
inference(definition_unfolding,[],[f516,f551,f544,f549,f549,f551]) ).
fof(f860,plain,
vf(vd1303,sK5) = vf(vd1329,sK4),
inference(definition_unfolding,[],[f519,f544,f549,f551]) ).
fof(f861,plain,
vangle(sK6,vd1303,sK5) = vangle(sK6,vd1329,sK4),
inference(definition_unfolding,[],[f520,f547,f544,f549,f547,f551]) ).
fof(f862,plain,
vangle(sK4,sK6,sK5) = vangle(vd1303,sK6,sK5),
inference(definition_unfolding,[],[f521,f551,f547,f549,f544,f547,f549]) ).
fof(f863,plain,
vangle(sK4,sK6,sK5) = vangle(sK4,sK6,vd1329),
inference(definition_unfolding,[],[f523,f551,f547,f549,f551,f547]) ).
fof(f864,plain,
~ rR(sK6,sK5,vd1329),
inference(definition_unfolding,[],[f524,f547,f549]) ).
fof(f865,plain,
~ rR(sK6,sK4,vd1303),
inference(definition_unfolding,[],[f537,f547,f551,f544]) ).
fof(f866,plain,
rR(vd1329,sK6,vd1300),
inference(definition_unfolding,[],[f538,f547,f540]) ).
fof(f867,plain,
rR(sK4,sK6,vd1303),
inference(definition_unfolding,[],[f543,f551,f547,f544]) ).
fof(f868,plain,
rR(sK5,sK6,vd1300),
inference(definition_unfolding,[],[f541,f549,f547,f540]) ).
fof(f869,plain,
vf(sK6,sK5) = vf(sK6,sK4),
inference(definition_unfolding,[],[f555,f547,f549,f547,f551]) ).
fof(f870,plain,
sK4 != sK5,
inference(definition_unfolding,[],[f554,f549,f551]) ).
fof(f875,plain,
vd1329 != sK6,
inference(definition_unfolding,[],[f565,f547]) ).
fof(f876,plain,
vf(sK6,vd1303) = vf(sK6,vd1329),
inference(definition_unfolding,[],[f566,f547,f544,f547]) ).
fof(f877,plain,
sK4 != sK6,
inference(definition_unfolding,[],[f570,f551,f547]) ).
fof(f879,plain,
vd1303 != sK6,
inference(definition_unfolding,[],[f572,f544,f547]) ).
fof(f912,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f611,f549,f547]) ).
fof(f914,plain,
vd1329 != vd1303,
inference(definition_unfolding,[],[f614,f544]) ).
fof(f915,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f615,f544]) ).
fof(f917,plain,
ron(sK4,vd1297),
inference(definition_unfolding,[],[f617,f551]) ).
fof(f919,plain,
ron(sK5,vd1295),
inference(definition_unfolding,[],[f620,f549]) ).
fof(f921,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f629,f540]) ).
fof(f922,plain,
ron(sK6,vd1297),
inference(definition_unfolding,[],[f630,f547]) ).
fof(f923,plain,
ron(sK6,vd1295),
inference(definition_unfolding,[],[f631,f547]) ).
fof(f924,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f634,f690]) ).
fof(f925,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f633,f690]) ).
fof(f926,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f632,f690]) ).
fof(f927,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f637,f690]) ).
fof(f928,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f636,f690]) ).
fof(f936,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f522]) ).
fof(f937,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f936]) ).
fof(f938,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X3)
| X0 = X9
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f937]) ).
fof(f939,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X10,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f938]) ).
fof(f940,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X1,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f939]) ).
fof(f941,plain,
! [X10,X0,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X12,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X12,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X12
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f940]) ).
fof(f942,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rline(X7)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f941]) ).
fof(f1015,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X2,X1,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f556]) ).
fof(f1016,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X5,X1,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1015]) ).
fof(f1017,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1016]) ).
fof(f1018,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| rR(X6,X7,X4) ),
inference(equality_resolution,[],[f1017]) ).
fof(f1019,plain,
! [X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f560]) ).
fof(f1020,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1019]) ).
fof(f1021,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rR(X5,X4,X3) ),
inference(equality_resolution,[],[f1020]) ).
fof(f1022,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X2,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f559]) ).
fof(f1023,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1022]) ).
fof(f1024,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1023]) ).
fof(f1025,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1024]) ).
fof(f1026,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f558]) ).
fof(f1027,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1026]) ).
fof(f1028,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1027]) ).
fof(f1029,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1028]) ).
fof(f1030,plain,
! [X3,X0,X1,X4,X5] :
( rR(X1,X3,X0)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f557]) ).
fof(f1031,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1030]) ).
fof(f1032,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1031]) ).
fof(f1055,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X3,vskolem1078(X3,X3,X0,X1))
| X1 = X3
| X0 = X3
| ~ rpoint(X3)
| X0 = X1
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f606]) ).
fof(f1056,plain,
! [X3,X0,X4,X5] :
( vf(X0,X4) = vf(X3,vskolem1078(X3,X3,X0,X4))
| X3 = X4
| X0 = X3
| ~ rpoint(X3)
| X0 = X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1055]) ).
fof(f1057,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X4
| X3 = X5
| ~ rpoint(X3)
| X4 = X5
| ~ rpoint(X4)
| vf(X5,X4) = vf(X3,vskolem1078(X3,X3,X5,X4)) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1079,plain,
! [X3,X0,X1] :
( vf(X3,vskolem1052(X0,X1,X3,X3)) = vf(vskolem1052(X0,X1,X3,X3),X0)
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f623]) ).
fof(f1080,plain,
! [X3,X1] :
( ~ rpoint(X1)
| X1 = X3
| ~ rpoint(X3)
| vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1) ),
inference(equality_resolution,[],[f1079]) ).
fof(f1081,plain,
! [X3,X0,X1] :
( vf(X0,X3) = vf(X3,vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f624]) ).
fof(f1082,plain,
! [X3,X1] :
( ~ rpoint(X1)
| X1 = X3
| ~ rpoint(X3)
| vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3)) ),
inference(equality_resolution,[],[f1081]) ).
fof(f1083,plain,
! [X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f625]) ).
fof(f1084,plain,
! [X3,X1] :
( ~ rpoint(X1)
| X1 = X3
| ~ rpoint(X3)
| rpoint(vskolem1052(X1,X1,X3,X3)) ),
inference(equality_resolution,[],[f1083]) ).
fof(f1085,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X0,X1,X3) = vangle(X3,X1,X0)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f626]) ).
fof(f1086,plain,
! [X3,X0,X4,X5] :
( vangle(X0,X4,X3) = vangle(X3,X4,X0)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1085]) ).
fof(f1087,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f1086]) ).
fof(f1091,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f628]) ).
fof(f1092,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1091]) ).
fof(f1093,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1092]) ).
fof(f1094,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1093]) ).
fof(f1095,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f924]) ).
fof(f1096,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ rR(X0,X2,X5)
| vd684 != vangle(X2,X0,X5)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1095]) ).
fof(f1097,plain,
! [X3,X0,X1,X7,X5] :
( ~ rR(X0,X3,X5)
| vd684 != vangle(X3,X0,X5)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1096]) ).
fof(f1098,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ~ rR(X1,X3,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1097]) ).
fof(f1099,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(X4,X7)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f925]) ).
fof(f1100,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X2,X0,X5)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1099]) ).
fof(f1101,plain,
! [X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X3,X0,X5)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1100]) ).
fof(f1102,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| vd684 != vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ron(X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1101]) ).
fof(f1103,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| rR(X0,X2,X4)
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f926]) ).
fof(f1104,plain,
! [X2,X3,X0,X1,X7,X5] :
( vd684 = vangle(X2,X0,X5)
| rR(X0,X2,X5)
| ~ ron(X5,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1103]) ).
fof(f1105,plain,
! [X3,X0,X1,X7,X5] :
( vd684 = vangle(X3,X0,X5)
| rR(X0,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1104]) ).
fof(f1106,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| vd684 = vangle(X3,X1,X5)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1105]) ).
fof(f1107,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f635]) ).
fof(f1108,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f1107]) ).
fof(f1109,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f927]) ).
fof(f1110,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1109]) ).
fof(f1111,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1110]) ).
fof(f1112,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f928]) ).
fof(f1113,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1112]) ).
fof(f1114,plain,
! [X3,X0,X4] :
( vf(X0,X3) = sK7(X0,X3)
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f639]) ).
fof(f1115,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X4,X3) = sK7(X4,X3) ),
inference(equality_resolution,[],[f1114]) ).
fof(f1122,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f642]) ).
fof(f1123,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1122]) ).
fof(f1124,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1123]) ).
fof(f1125,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ron(X5,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1124]) ).
fof(f1126,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f645]) ).
fof(f1127,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1126]) ).
fof(f1128,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f644]) ).
fof(f1129,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1128]) ).
fof(f1130,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f643]) ).
fof(f1131,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1130]) ).
fof(f1170,plain,
! [X2,X3,X0,X1,X5] :
( vf(X2,X0) = vf(X2,X5)
| ~ ron(X0,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f665]) ).
fof(f1171,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| vf(X2,X1) = vf(X2,X5)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1170]) ).
fof(f1172,plain,
! [X2,X3,X0,X1,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f664]) ).
fof(f1173,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ron(X1,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1172]) ).
fof(f1188,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X4,X0,X2)
| ~ rR(X4,X0,X1)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f670]) ).
fof(f1189,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X4,X0,X5)
| ~ rR(X4,X0,X1)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1188]) ).
fof(f1190,plain,
! [X0,X6,X7,X4,X5] :
( rR(X4,X0,X5)
| ~ rR(X4,X0,X6)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1189]) ).
fof(f1191,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rR(X4,X7,X6)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| rR(X4,X7,X5) ),
inference(equality_resolution,[],[f1190]) ).
fof(f1224,plain,
! [X3,X0,X4] :
( ron(X3,sK15(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f685]) ).
fof(f1225,plain,
! [X3,X4] :
( ron(X3,sK15(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1224]) ).
fof(f1226,plain,
! [X3,X0,X4] :
( rcenter(X0,sK15(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f684]) ).
fof(f1227,plain,
! [X3,X4] :
( rcenter(X4,sK15(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1226]) ).
fof(f1228,plain,
! [X3,X0,X4] :
( rcircle(sK15(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f683]) ).
fof(f1229,plain,
! [X3,X4] :
( rcircle(sK15(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1228]) ).
fof(f1238,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f692]) ).
fof(f1239,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X5)
| rR(X0,X1,X5)
| rR(X5,X0,X1)
| ~ ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X5
| X0 = X5
| X0 = X1
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1238]) ).
fof(f1240,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X5)
| rR(X0,X6,X5)
| rR(X5,X0,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X5 = X6
| X0 = X5
| X0 = X6
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1239]) ).
fof(f1241,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| rR(X7,X6,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| rR(X6,X7,X5)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1240]) ).
fof(f1242,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f693]) ).
fof(f1243,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1242]) ).
fof(f1244,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1243]) ).
fof(f1245,plain,
! [X6,X7,X4,X5] :
( ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| ~ rline(X4)
| X4 = X5
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1244]) ).
fof(f1246,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X1),vf(X1,X3))
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f694]) ).
fof(f1247,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X4),vf(X4,X3))
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1246]) ).
fof(f1248,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| vf(X5,X3) = vplus(vf(X5,X4),vf(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1247]) ).
fof(f1335,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f718]) ).
fof(f1336,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1335]) ).
fof(f1337,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X7)
| X1 = X7
| ~ ron(X7,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X7,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1336]) ).
fof(f1338,plain,
! [X0,X8,X6,X9,X7,X4] :
( rR(X0,X8,X7)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X0,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X0,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1337]) ).
fof(f1339,plain,
! [X8,X6,X9,X7,X4] :
( ~ rcircle(X6)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X9,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| rR(X9,X8,X7)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1338]) ).
fof(f1680,plain,
! [X2,X3,X0,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f843]) ).
fof(f1681,plain,
! [X2,X3,X6,X4,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1680]) ).
fof(f1729,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f1111]) ).
fof(f1730,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f1029]) ).
fof(f1731,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1025]) ).
fof(f1807,definition,
( spl55_20
<=> vd1300 = sK6 ),
introduced(definition,[new_symbols(definition,[spl55_20])],[avatar_definition]) ).
fof(f1808,plain,
( vd1300 != sK6
| spl55_20 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f1812,definition,
( spl55_21
<=> sK4 = sK6 ),
introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).
fof(f1813,plain,
( sK4 != sK6
| spl55_21 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f1818,definition,
( spl55_22
<=> rR(sK6,sK5,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_22])],[avatar_definition]) ).
fof(f1819,plain,
( ~ rR(sK6,sK5,vd1300)
| spl55_22 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1874,plain,
~ spl55_21,
inference(avatar_split_clause,[],[f877,f1812]) ).
fof(f1875,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1329,X0) = vf(X0,vd1329) ),
inference(resolution,[],[f1108,f539]) ).
fof(f1877,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK4,X0) = vf(X0,sK4) ),
inference(resolution,[],[f1108,f550]) ).
fof(f1878,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK5,X0) = vf(X0,sK5) ),
inference(resolution,[],[f1108,f548]) ).
fof(f1879,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = vf(X0,sK6) ),
inference(resolution,[],[f1108,f546]) ).
fof(f1895,plain,
( rR(sK4,vd1303,sK6)
| ~ rpoint(vd1303)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(resolution,[],[f1032,f867]) ).
fof(f1896,plain,
( rR(sK5,vd1300,sK6)
| ~ rpoint(vd1300)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(resolution,[],[f1032,f868]) ).
fof(f1897,plain,
( rR(vd1329,vd1300,sK6)
| ~ rpoint(vd1300)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) ),
inference(resolution,[],[f1032,f866]) ).
fof(f1898,plain,
( rR(vd1329,vd1300,sK6)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1897,f545]) ).
fof(f1899,plain,
( rR(sK5,vd1300,sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1896,f545]) ).
fof(f1900,plain,
( rR(sK4,vd1303,sK6)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1895,f542]) ).
fof(f1901,plain,
( rR(vd1329,vd1300,sK6)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1898,f539]) ).
fof(f1902,plain,
( rR(sK5,vd1300,sK6)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1899,f548]) ).
fof(f1903,plain,
( rR(sK4,vd1303,sK6)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1900,f550]) ).
fof(f1904,plain,
rR(vd1329,vd1300,sK6),
inference(forward_subsumption_resolution,[],[f1901,f546]) ).
fof(f1905,plain,
rR(sK5,vd1300,sK6),
inference(forward_subsumption_resolution,[],[f1902,f546]) ).
fof(f1906,plain,
rR(sK4,vd1303,sK6),
inference(forward_subsumption_resolution,[],[f1903,f546]) ).
fof(f1926,definition,
( spl55_36
<=> vd1329 = sK4 ),
introduced(definition,[new_symbols(definition,[spl55_36])],[avatar_definition]) ).
fof(f1927,plain,
( vd1329 = sK4
| ~ spl55_36 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f1945,plain,
vf(vd1329,sK4) = vf(sK4,vd1329),
inference(resolution,[],[f1875,f550]) ).
fof(f1951,plain,
( vd684 != vf(vd1303,sK5)
| vd1329 = sK4
| ~ rpoint(sK4)
| ~ rpoint(vd1329) ),
inference(superposition,[],[f1113,f860]) ).
fof(f1968,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1297)
| rR(X0,X1,X2)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1106,f619]) ).
fof(f1969,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1295)
| rR(X0,X1,X2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1106,f622]) ).
fof(f1970,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1969,f612]) ).
fof(f1971,plain,
! [X0,X1] :
( rR(X0,X1,sK5)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK5 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK5)
| ~ rpoint(sK5)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1969,f919]) ).
fof(f1972,plain,
! [X0,X1] :
( ~ ron(X1,vd1295)
| rR(X0,X1,sK5)
| ~ ron(X0,vd1295)
| sK5 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1971,f548]) ).
fof(f1973,plain,
! [X0,X1] :
( ~ ron(X1,vd1295)
| rR(X0,X1,vd1329)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1329)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1970,f539]) ).
fof(f1977,plain,
! [X0,X1] :
( rR(X0,X1,vd1303)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| vd1303 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1968,f915]) ).
fof(f1978,plain,
! [X0,X1] :
( rR(X0,X1,sK4)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK4 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK4)
| ~ rpoint(sK4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1968,f917]) ).
fof(f1979,plain,
! [X0,X1] :
( ~ ron(X1,vd1297)
| rR(X0,X1,sK4)
| ~ ron(X0,vd1297)
| sK4 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1978,f550]) ).
fof(f1980,plain,
! [X0,X1] :
( ~ ron(X1,vd1297)
| rR(X0,X1,vd1303)
| ~ ron(X0,vd1297)
| vd1303 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1303)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1977,f542]) ).
fof(f1981,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X5)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| ~ ron(X2,vd1297)
| ~ ron(X1,vd1297)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X0,X5)
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f942,f619]) ).
fof(f1982,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X5)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X0,X5)
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f942,f622]) ).
fof(f1989,plain,
vf(sK5,sK4) = vf(sK4,sK5),
inference(resolution,[],[f1877,f548]) ).
fof(f1990,plain,
vf(sK6,sK4) = vf(sK4,sK6),
inference(resolution,[],[f1877,f546]) ).
fof(f1991,plain,
( vd684 != vf(sK6,sK4)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(superposition,[],[f1113,f869]) ).
fof(f1996,plain,
( vd684 != vf(sK6,sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1991,f912]) ).
fof(f1999,plain,
( vd684 != vf(sK6,sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1996,f548]) ).
fof(f2002,plain,
vd684 != vf(sK6,sK4),
inference(forward_subsumption_resolution,[],[f1999,f546]) ).
fof(f2008,plain,
vf(sK6,sK5) = vf(sK5,sK6),
inference(resolution,[],[f1878,f546]) ).
fof(f2009,plain,
vf(sK6,sK4) = vf(sK5,sK6),
inference(forward_demodulation,[],[f2008,f869]) ).
fof(f2011,plain,
! [X0,X1] :
( rR(X0,X1,sK6)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK6 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f922,f1968]) ).
fof(f2012,plain,
! [X0,X1] :
( ~ ron(X1,vd1297)
| rR(X0,X1,sK6)
| ~ ron(X0,vd1297)
| sK6 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2011,f546]) ).
fof(f2045,plain,
! [X0,X1] :
( ~ rR(vd1300,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,vd1300,X1) ),
inference(resolution,[],[f1021,f545]) ).
fof(f2046,plain,
! [X0,X1] :
( ~ rR(vd1303,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,vd1303,X1) ),
inference(resolution,[],[f1021,f542]) ).
fof(f2048,plain,
! [X0,X1] :
( ~ rR(X0,sK5,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(sK5,X0,X1) ),
inference(resolution,[],[f1021,f548]) ).
fof(f2049,plain,
! [X0,X1] :
( ~ rR(sK6,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,sK6,X1) ),
inference(resolution,[],[f1021,f546]) ).
fof(f2071,plain,
vd684 = vf(vd1303,vd1303),
inference(resolution,[],[f1729,f542]) ).
fof(f2072,plain,
vd684 = vf(sK4,sK4),
inference(resolution,[],[f1729,f550]) ).
fof(f2073,plain,
vd684 = vf(sK5,sK5),
inference(resolution,[],[f1729,f548]) ).
fof(f2074,plain,
vd684 = vf(sK6,sK6),
inference(resolution,[],[f1729,f546]) ).
fof(f2076,plain,
! [X0,X1] :
( rR(X0,X1,vd1300)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1300 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f921,f1969]) ).
fof(f2077,plain,
! [X0,X1] :
( ~ ron(X1,vd1295)
| rR(X0,X1,vd1300)
| ~ ron(X0,vd1295)
| vd1300 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2076,f545]) ).
fof(f2101,plain,
( vd1300 = sK6
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f2117,definition,
( spl55_43
<=> rR(sK4,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_43])],[avatar_definition]) ).
fof(f2118,plain,
( rR(sK4,sK6,sK6)
| ~ spl55_43 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f2120,definition,
( spl55_44
<=> vd684 = vangle(sK6,sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_44])],[avatar_definition]) ).
fof(f2121,plain,
( vd684 = vangle(sK6,sK4,sK6)
| ~ spl55_44 ),
inference(avatar_component_clause,[],[f2120]) ).
fof(f2124,plain,
vf(vd1303,sK5) = vf(sK4,vd1329),
inference(forward_demodulation,[],[f1945,f860]) ).
fof(f2126,plain,
( vd684 != vf(vd1303,sK5)
| vd1329 = sK4
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f1951,f550]) ).
fof(f2136,definition,
( spl55_46
<=> rR(vd1329,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_46])],[avatar_definition]) ).
fof(f2137,plain,
( rR(vd1329,sK6,sK6)
| ~ spl55_46 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f2140,plain,
( vd684 != vf(vd1303,sK5)
| vd1329 = sK4 ),
inference(forward_subsumption_resolution,[],[f2126,f539]) ).
fof(f2144,definition,
( spl55_47
<=> vd684 = vf(vd1303,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_47])],[avatar_definition]) ).
fof(f2145,plain,
( vd684 != vf(vd1303,sK5)
| spl55_47 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2146,plain,
( spl55_36
| ~ spl55_47 ),
inference(avatar_split_clause,[],[f2140,f2144,f1926]) ).
fof(f2153,plain,
( rR(vd1329,sK6,sK6)
| ~ spl55_20 ),
inference(superposition,[],[f1904,f2101]) ).
fof(f2156,plain,
( spl55_46
| ~ spl55_20 ),
inference(avatar_split_clause,[],[f2153,f1807,f2136]) ).
fof(f2190,plain,
( vf(vd1303,sK5) = vf(sK4,sK4)
| ~ spl55_36 ),
inference(superposition,[],[f2124,f1927]) ).
fof(f2193,plain,
( vd684 = vf(vd1303,sK5)
| ~ spl55_36 ),
inference(forward_demodulation,[],[f2190,f2072]) ).
fof(f2204,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl55_43 ),
inference(resolution,[],[f2118,f1731]) ).
fof(f2208,plain,
( ~ rpoint(sK4)
| ~ spl55_43 ),
inference(forward_subsumption_resolution,[],[f2204,f546]) ).
fof(f2210,plain,
( $false
| ~ spl55_43 ),
inference(forward_subsumption_resolution,[],[f2208,f550]) ).
fof(f2211,plain,
~ spl55_43,
inference(avatar_contradiction_clause,[],[f2210]) ).
fof(f2219,plain,
( vd684 != vd684
| vd1303 = sK5
| ~ rpoint(sK5)
| ~ rpoint(vd1303)
| ~ spl55_36 ),
inference(superposition,[],[f1113,f2193]) ).
fof(f2222,plain,
( vd1303 = sK5
| ~ rpoint(sK5)
| ~ rpoint(vd1303)
| ~ spl55_36 ),
inference(trivial_inequality_removal,[],[f2219]) ).
fof(f2225,plain,
( vd1303 = sK5
| ~ rpoint(vd1303)
| ~ spl55_36 ),
inference(forward_subsumption_resolution,[],[f2222,f548]) ).
fof(f2228,plain,
( vd1303 = sK5
| ~ spl55_36 ),
inference(forward_subsumption_resolution,[],[f2225,f542]) ).
fof(f2230,definition,
( spl55_50
<=> vd1303 = sK5 ),
introduced(definition,[new_symbols(definition,[spl55_50])],[avatar_definition]) ).
fof(f2231,plain,
( vd1303 = sK5
| ~ spl55_50 ),
inference(avatar_component_clause,[],[f2230]) ).
fof(f2240,plain,
( spl55_50
| ~ spl55_36 ),
inference(avatar_split_clause,[],[f2228,f1926,f2230]) ).
fof(f2270,plain,
! [X0] :
( rR(X0,sK6,sK5)
| ~ ron(X0,vd1295)
| sK5 = X0
| sK6 = X0
| vd684 = vangle(sK6,X0,sK5)
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(resolution,[],[f1972,f923]) ).
fof(f2272,plain,
! [X0] :
( ~ ron(X0,vd1295)
| rR(X0,sK6,sK5)
| sK5 = X0
| sK6 = X0
| vd684 = vangle(sK6,X0,sK5)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2270,f546]) ).
fof(f2278,plain,
! [X0] :
( rR(X0,sK6,sK4)
| ~ ron(X0,vd1297)
| sK4 = X0
| sK6 = X0
| vd684 = vangle(sK6,X0,sK4)
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(resolution,[],[f1979,f922]) ).
fof(f2280,plain,
! [X0] :
( ~ ron(X0,vd1297)
| rR(X0,sK6,sK4)
| sK4 = X0
| sK6 = X0
| vd684 = vangle(sK6,X0,sK4)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2278,f546]) ).
fof(f2284,plain,
! [X0] :
( rR(X0,sK4,sK6)
| ~ ron(X0,vd1297)
| sK6 = X0
| sK4 = X0
| vd684 = vangle(sK4,X0,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X0) ),
inference(resolution,[],[f2012,f917]) ).
fof(f2285,plain,
! [X0] :
( rR(X0,sK6,sK6)
| ~ ron(X0,vd1297)
| sK6 = X0
| sK6 = X0
| vd684 = vangle(sK6,X0,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(resolution,[],[f2012,f922]) ).
fof(f2286,plain,
! [X0] :
( rR(X0,sK6,sK6)
| ~ ron(X0,vd1297)
| sK6 = X0
| vd684 = vangle(sK6,X0,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f2285]) ).
fof(f2287,plain,
! [X0] :
( ~ ron(X0,vd1297)
| rR(X0,sK6,sK6)
| sK6 = X0
| vd684 = vangle(sK6,X0,sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2286,f546]) ).
fof(f2288,plain,
! [X0] :
( ~ ron(X0,vd1297)
| rR(X0,sK4,sK6)
| sK6 = X0
| sK4 = X0
| vd684 = vangle(sK4,X0,sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2284,f550]) ).
fof(f2290,plain,
( rR(vd1303,sK6,sK6)
| vd1303 = sK6
| vd684 = vangle(sK6,vd1303,sK6)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f2287,f915]) ).
fof(f2293,plain,
( rR(vd1303,sK6,sK6)
| vd684 = vangle(sK6,vd1303,sK6)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2290,f879]) ).
fof(f2294,plain,
( rR(vd1303,sK6,sK6)
| vd684 = vangle(sK6,vd1303,sK6) ),
inference(forward_subsumption_resolution,[],[f2293,f542]) ).
fof(f2296,definition,
( spl55_53
<=> vd684 = vangle(sK6,vd1303,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_53])],[avatar_definition]) ).
fof(f2297,plain,
( vd684 = vangle(sK6,vd1303,sK6)
| ~ spl55_53 ),
inference(avatar_component_clause,[],[f2296]) ).
fof(f2299,definition,
( spl55_54
<=> rR(vd1303,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_54])],[avatar_definition]) ).
fof(f2300,plain,
( rR(vd1303,sK6,sK6)
| ~ spl55_54 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f2301,plain,
( spl55_53
| spl55_54 ),
inference(avatar_split_clause,[],[f2294,f2299,f2296]) ).
fof(f2310,plain,
! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| vf(sK4,X0) = vf(X0,vskolem1052(sK4,sK4,X0,X0)) ),
inference(resolution,[],[f1082,f550]) ).
fof(f2311,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vf(sK5,X0) = vf(X0,vskolem1052(sK5,sK5,X0,X0)) ),
inference(resolution,[],[f1082,f548]) ).
fof(f2312,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vf(sK6,X0) = vf(X0,vskolem1052(sK6,sK6,X0,X0)) ),
inference(resolution,[],[f1082,f546]) ).
fof(f2330,plain,
! [X2,X0,X1] :
( ~ rline(X1)
| ~ ron(X0,vd1295)
| ~ ron(X2,X1)
| ~ ron(X2,vd1295)
| ~ ron(X0,X1)
| vd1295 = X1
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1245,f622]) ).
fof(f2341,plain,
! [X2,X0,X1] :
( ~ rR(X1,sK5,X0)
| ~ rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,sK5,X2) ),
inference(resolution,[],[f1018,f548]) ).
fof(f2364,plain,
! [X0] :
( rR(X0,vd1300,vd1329)
| ~ ron(X0,vd1295)
| vd1329 = X0
| vd1300 = X0
| vd684 = vangle(vd1300,X0,vd1329)
| ~ rpoint(vd1300)
| ~ rpoint(X0) ),
inference(resolution,[],[f1973,f921]) ).
fof(f2370,plain,
! [X0] :
( ~ ron(X0,vd1295)
| rR(X0,vd1300,vd1329)
| vd1329 = X0
| vd1300 = X0
| vd684 = vangle(vd1300,X0,vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2364,f545]) ).
fof(f2404,definition,
( spl55_55
<=> vd1329 = sK5 ),
introduced(definition,[new_symbols(definition,[spl55_55])],[avatar_definition]) ).
fof(f2405,plain,
( vd1329 = sK5
| ~ spl55_55 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f2416,definition,
( spl55_58
<=> vd1329 = vd1300 ),
introduced(definition,[new_symbols(definition,[spl55_58])],[avatar_definition]) ).
fof(f2417,plain,
( vd1329 = vd1300
| ~ spl55_58 ),
inference(avatar_component_clause,[],[f2416]) ).
fof(f2433,plain,
( vf(sK4,vd1303) != vf(sK5,sK4)
| ~ spl55_36 ),
inference(superposition,[],[f856,f1927]) ).
fof(f2449,plain,
( vf(sK4,vd1303) != vf(sK4,sK5)
| ~ spl55_36 ),
inference(forward_demodulation,[],[f2433,f1989]) ).
fof(f2452,plain,
( vf(sK4,vd1303) != vf(sK4,vd1303)
| ~ spl55_36
| ~ spl55_50 ),
inference(forward_demodulation,[],[f2449,f2231]) ).
fof(f2453,plain,
( $false
| ~ spl55_36
| ~ spl55_50 ),
inference(trivial_inequality_removal,[],[f2452]) ).
fof(f2454,plain,
( ~ spl55_36
| ~ spl55_50 ),
inference(avatar_contradiction_clause,[],[f2453]) ).
fof(f2455,plain,
( vd684 != vf(vd1303,vd1303)
| spl55_47
| ~ spl55_50 ),
inference(forward_demodulation,[],[f2145,f2231]) ).
fof(f2459,plain,
( $false
| spl55_47
| ~ spl55_50 ),
inference(forward_subsumption_resolution,[],[f2455,f2071]) ).
fof(f2460,plain,
( spl55_47
| ~ spl55_50 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2509,definition,
( spl55_61
<=> vd1300 = sK5 ),
introduced(definition,[new_symbols(definition,[spl55_61])],[avatar_definition]) ).
fof(f2510,plain,
( vd1300 = sK5
| ~ spl55_61 ),
inference(avatar_component_clause,[],[f2509]) ).
fof(f2512,definition,
( spl55_62
<=> rR(vd1300,sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_62])],[avatar_definition]) ).
fof(f2513,plain,
( rR(vd1300,sK5,sK6)
| ~ spl55_62 ),
inference(avatar_component_clause,[],[f2512]) ).
fof(f2521,definition,
( spl55_63
<=> vd684 = vangle(sK5,vd1329,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_63])],[avatar_definition]) ).
fof(f2522,plain,
( vd684 = vangle(sK5,vd1329,sK6)
| ~ spl55_63 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f2524,definition,
( spl55_64
<=> rR(vd1329,sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_64])],[avatar_definition]) ).
fof(f2540,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1329)
| ~ spl55_46 ),
inference(resolution,[],[f2137,f1731]) ).
fof(f2551,plain,
( ~ rpoint(vd1329)
| ~ spl55_46 ),
inference(forward_subsumption_resolution,[],[f2540,f546]) ).
fof(f2553,plain,
( $false
| ~ spl55_46 ),
inference(forward_subsumption_resolution,[],[f2551,f539]) ).
fof(f2554,plain,
~ spl55_46,
inference(avatar_contradiction_clause,[],[f2553]) ).
fof(f2600,plain,
( vd1303 != sK5
| ~ spl55_55 ),
inference(superposition,[],[f914,f2405]) ).
fof(f2619,definition,
( spl55_66
<=> vd1303 = sK4 ),
introduced(definition,[new_symbols(definition,[spl55_66])],[avatar_definition]) ).
fof(f2620,plain,
( vd1303 = sK4
| ~ spl55_66 ),
inference(avatar_component_clause,[],[f2619]) ).
fof(f2638,plain,
( rR(vd1303,sK4,sK6)
| vd1303 = sK6
| vd1303 = sK4
| vd684 = vangle(sK4,vd1303,sK6)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f2288,f915]) ).
fof(f2641,plain,
( rR(vd1303,sK4,sK6)
| vd1303 = sK4
| vd684 = vangle(sK4,vd1303,sK6)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2638,f879]) ).
fof(f2642,plain,
( rR(vd1303,sK4,sK6)
| vd1303 = sK4
| vd684 = vangle(sK4,vd1303,sK6) ),
inference(forward_subsumption_resolution,[],[f2641,f542]) ).
fof(f2644,definition,
( spl55_70
<=> vd684 = vangle(sK4,vd1303,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_70])],[avatar_definition]) ).
fof(f2645,plain,
( vd684 = vangle(sK4,vd1303,sK6)
| ~ spl55_70 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f2647,definition,
( spl55_71
<=> rR(vd1303,sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_71])],[avatar_definition]) ).
fof(f2648,plain,
( rR(vd1303,sK4,sK6)
| ~ spl55_71 ),
inference(avatar_component_clause,[],[f2647]) ).
fof(f2649,plain,
( spl55_70
| spl55_66
| spl55_71 ),
inference(avatar_split_clause,[],[f2642,f2647,f2619,f2644]) ).
fof(f2656,plain,
( rR(vd1303,vd1303,sK6)
| ~ spl55_66 ),
inference(superposition,[],[f1906,f2620]) ).
fof(f2679,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1303)
| ~ spl55_66 ),
inference(resolution,[],[f2656,f1730]) ).
fof(f2690,plain,
( ~ rpoint(vd1303)
| ~ spl55_66 ),
inference(forward_subsumption_resolution,[],[f2679,f546]) ).
fof(f2692,plain,
( $false
| ~ spl55_66 ),
inference(forward_subsumption_resolution,[],[f2690,f542]) ).
fof(f2693,plain,
~ spl55_66,
inference(avatar_contradiction_clause,[],[f2692]) ).
fof(f2831,definition,
( spl55_77
<=> rR(sK6,vd1300,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_77])],[avatar_definition]) ).
fof(f2832,plain,
( rR(sK6,vd1300,vd1300)
| ~ spl55_77 ),
inference(avatar_component_clause,[],[f2831]) ).
fof(f2850,definition,
( spl55_82
<=> rR(vd1329,sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_82])],[avatar_definition]) ).
fof(f2851,plain,
( rR(vd1329,sK5,sK5)
| ~ spl55_82 ),
inference(avatar_component_clause,[],[f2850]) ).
fof(f2874,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(vd1329,sK5,sK6)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK6
| vd1329 = sK5
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1329) )
| ~ spl55_63 ),
inference(superposition,[],[f1098,f2522]) ).
fof(f2875,plain,
( ! [X0] :
( ~ rR(vd1329,sK5,sK6)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK6
| vd1329 = sK5
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1329) )
| ~ spl55_63 ),
inference(trivial_inequality_removal,[],[f2874]) ).
fof(f2898,plain,
! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(superposition,[],[f1098,f862]) ).
fof(f2901,plain,
! [X0,X1] :
( rinside(X1,sK15(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(resolution,[],[f1227,f695]) ).
fof(f2903,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK15(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X3)
| X0 = X1
| ~ rpoint(X3)
| ron(X2,sK15(X1,X0))
| ~ rpoint(X2) ),
inference(resolution,[],[f1227,f1173]) ).
fof(f2904,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK15(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ ron(X2,sK15(X1,X0))
| X0 = X1
| ~ rpoint(X3)
| vf(X1,X2) = vf(X1,X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1227,f1171]) ).
fof(f2905,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK15(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X3)
| ~ ron(X2,X4)
| X0 = X1
| ~ rcenter(X1,X4)
| sK15(X1,X0) = X4
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f1227,f1681]) ).
fof(f2915,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| ~ ron(X2,X3)
| X0 = X1
| ~ rcenter(X1,X3)
| sK15(X1,X0) = X3
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f1225,f2905]) ).
fof(f2916,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ron(X2,sK15(X1,X0))
| ~ rpoint(X2) ),
inference(resolution,[],[f1225,f2903]) ).
fof(f2917,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ ron(X2,sK15(X1,X0))
| X0 = X1
| ~ rpoint(X0)
| vf(X1,X2) = vf(X1,X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1225,f2904]) ).
fof(f2918,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK15(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| vf(X1,X2) = vf(X1,X0)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2917]) ).
fof(f2919,plain,
! [X2,X0,X1] :
( ron(X2,sK15(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| X0 = X1
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2916]) ).
fof(f2920,plain,
! [X2,X3,X0,X1] :
( ~ rcenter(X1,X3)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| ~ ron(X2,X3)
| X0 = X1
| sK15(X1,X0) = X3
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2915]) ).
fof(f2925,plain,
! [X0] :
( rR(X0,sK4,vd1303)
| ~ ron(X0,vd1297)
| vd1303 = X0
| sK4 = X0
| vd684 = vangle(sK4,X0,vd1303)
| ~ rpoint(sK4)
| ~ rpoint(X0) ),
inference(resolution,[],[f1980,f917]) ).
fof(f2929,plain,
! [X0] :
( ~ ron(X0,vd1297)
| rR(X0,sK4,vd1303)
| vd1303 = X0
| sK4 = X0
| vd684 = vangle(sK4,X0,vd1303)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2925,f550]) ).
fof(f2932,plain,
( rR(vd1300,sK6,sK5)
| vd1300 = sK5
| vd1300 = sK6
| vd684 = vangle(sK6,vd1300,sK5)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f2272,f921]) ).
fof(f2935,plain,
( rR(vd1300,sK6,sK5)
| vd1300 = sK5
| vd684 = vangle(sK6,vd1300,sK5)
| ~ rpoint(vd1300)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f2932,f1808]) ).
fof(f2936,plain,
( rR(vd1300,sK6,sK5)
| vd1300 = sK5
| vd684 = vangle(sK6,vd1300,sK5)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f2935,f545]) ).
fof(f2938,definition,
( spl55_86
<=> vd684 = vangle(sK6,vd1300,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_86])],[avatar_definition]) ).
fof(f2939,plain,
( vd684 = vangle(sK6,vd1300,sK5)
| ~ spl55_86 ),
inference(avatar_component_clause,[],[f2938]) ).
fof(f2941,definition,
( spl55_87
<=> rR(vd1300,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_87])],[avatar_definition]) ).
fof(f2942,plain,
( rR(vd1300,sK6,sK5)
| ~ spl55_87 ),
inference(avatar_component_clause,[],[f2941]) ).
fof(f2943,plain,
( spl55_86
| spl55_61
| spl55_87
| spl55_20 ),
inference(avatar_split_clause,[],[f2936,f1807,f2941,f2509,f2938]) ).
fof(f3019,plain,
( rR(vd1303,sK6,sK4)
| vd1303 = sK4
| vd1303 = sK6
| vd684 = vangle(sK6,vd1303,sK4)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f2280,f915]) ).
fof(f3022,plain,
( rR(vd1303,sK6,sK4)
| vd1303 = sK4
| vd684 = vangle(sK6,vd1303,sK4)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f3019,f879]) ).
fof(f3023,plain,
( rR(vd1303,sK6,sK4)
| vd1303 = sK4
| vd684 = vangle(sK6,vd1303,sK4) ),
inference(forward_subsumption_resolution,[],[f3022,f542]) ).
fof(f3025,definition,
( spl55_88
<=> vd684 = vangle(sK6,vd1303,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_88])],[avatar_definition]) ).
fof(f3026,plain,
( vd684 = vangle(sK6,vd1303,sK4)
| ~ spl55_88 ),
inference(avatar_component_clause,[],[f3025]) ).
fof(f3028,definition,
( spl55_89
<=> rR(vd1303,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_89])],[avatar_definition]) ).
fof(f3029,plain,
( rR(vd1303,sK6,sK4)
| ~ spl55_89 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f3030,plain,
( spl55_88
| spl55_66
| spl55_89 ),
inference(avatar_split_clause,[],[f3023,f3028,f2619,f3025]) ).
fof(f3034,plain,
! [X0] :
( vd684 != vangle(sK4,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| vd1329 = sK6
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(superposition,[],[f1098,f863]) ).
fof(f3041,plain,
! [X0,X1] :
( ~ rpoint(X1)
| vd1329 = X1
| ~ rpoint(X0)
| vd1329 = X0
| vangle(X0,X1,vd1329) = vangle(vd1329,X1,X0) ),
inference(resolution,[],[f1087,f539]) ).
fof(f3044,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK4 = X1
| ~ rpoint(X0)
| sK4 = X0
| vangle(X0,X1,sK4) = vangle(sK4,X1,X0) ),
inference(resolution,[],[f1087,f550]) ).
fof(f3045,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK5 = X1
| ~ rpoint(X0)
| sK5 = X0
| vangle(X0,X1,sK5) = vangle(sK5,X1,X0) ),
inference(resolution,[],[f1087,f548]) ).
fof(f3046,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK6 = X1
| ~ rpoint(X0)
| sK6 = X0
| vangle(X0,X1,sK6) = vangle(sK6,X1,X0) ),
inference(resolution,[],[f1087,f546]) ).
fof(f3076,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X3)
| X0 = X1
| ~ rpoint(X2)
| ron(X3,sK15(X1,X0))
| ~ rpoint(X3) ),
inference(resolution,[],[f2919,f2903]) ).
fof(f3079,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| X0 = X1
| ~ rpoint(X2)
| vf(X1,X2) != vf(X1,X3)
| ron(X3,sK15(X1,X0))
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f3076]) ).
fof(f3092,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK6 = X0
| ~ rpoint(X0)
| sK6 = X1
| X0 = X1
| vf(sK6,X1) = vf(X0,vskolem1078(X0,X0,sK6,X1)) ),
inference(resolution,[],[f1057,f546]) ).
fof(f3103,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 != vangle(X2,X3,X4)
| ~ ron(X2,sK8(X1,X0))
| X0 = X1
| X3 = X4
| X2 = X3
| ron(X4,sK8(X1,X0))
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f1131,f1102]) ).
fof(f3104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X7)
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X4)
| rR(X2,X5,X6)
| X2 = X4
| X2 = X6
| X2 = X3
| X2 = X5
| ~ ron(X4,sK8(X1,X0))
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X6,X7)
| ~ ron(X5,X7)
| ~ ron(X2,X7)
| vangle(X6,X2,X4) = vangle(X5,X2,X3)
| X0 = X1
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2) ),
inference(resolution,[],[f1131,f942]) ).
fof(f3105,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X4,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X4)
| X0 = X1
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X2 = X4
| X2 = X3
| vd684 = vangle(X3,X2,X4)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1131,f1106]) ).
fof(f3138,plain,
! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| rpoint(vskolem1052(sK4,sK4,X0,X0)) ),
inference(resolution,[],[f1084,f550]) ).
fof(f3139,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| rpoint(vskolem1052(sK5,sK5,X0,X0)) ),
inference(resolution,[],[f1084,f548]) ).
fof(f3198,plain,
! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| vd1329 = sK6
| vd1329 = X0
| vf(sK6,vd1329) = vf(X0,vskolem1078(X0,X0,sK6,vd1329)) ),
inference(resolution,[],[f3092,f539]) ).
fof(f3202,plain,
! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| sK5 = sK6
| sK5 = X0
| vf(sK6,sK5) = vf(X0,vskolem1078(X0,X0,sK6,sK5)) ),
inference(resolution,[],[f3092,f548]) ).
fof(f3205,plain,
! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| sK5 = X0
| vf(sK6,sK5) = vf(X0,vskolem1078(X0,X0,sK6,sK5)) ),
inference(forward_subsumption_resolution,[],[f3202,f912]) ).
fof(f3209,plain,
! [X0] :
( sK6 = X0
| ~ rpoint(X0)
| vd1329 = X0
| vf(sK6,vd1329) = vf(X0,vskolem1078(X0,X0,sK6,vd1329)) ),
inference(forward_subsumption_resolution,[],[f3198,f875]) ).
fof(f3251,plain,
! [X0] :
( vd684 != vangle(sK6,vd1303,sK5)
| ~ rR(vd1329,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK4
| vd1329 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(vd1329) ),
inference(superposition,[],[f1098,f861]) ).
fof(f3257,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| X0 = X1
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X0 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X0)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f3105,f1127]) ).
fof(f3258,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X1)
| X0 = X1
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X1 = X2
| X2 = X3
| vangle(X3,X2,X1) = vd684
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f3105,f1129]) ).
fof(f3259,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X2,X3,X1)
| X0 = X1
| ~ ron(X3,sK8(X1,X0))
| ~ rpoint(X0)
| X1 = X2
| X2 = X3
| vangle(X3,X2,X1) = vd684
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f3258]) ).
fof(f3260,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X2,X3,X0)
| X0 = X1
| ~ ron(X3,sK8(X1,X0))
| ~ rpoint(X0)
| X0 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f3257]) ).
fof(f3262,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| X0 = X2
| ~ ron(X1,sK8(X0,X2))
| ~ rpoint(X2)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f3260,f1129]) ).
fof(f3263,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(X0,X2))
| rR(X0,X1,X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f3262]) ).
fof(f3265,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| vd684 = vangle(X1,X0,X1)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f3263,f1127]) ).
fof(f3268,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vangle(X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f3265]) ).
fof(f3269,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f3268,f1731]) ).
fof(f3272,plain,
! [X0] :
( ~ rpoint(X0)
| vd1303 = X0
| vd684 = vangle(vd1303,X0,vd1303) ),
inference(resolution,[],[f3269,f542]) ).
fof(f3273,plain,
! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| vd684 = vangle(sK4,X0,sK4) ),
inference(resolution,[],[f3269,f550]) ).
fof(f3275,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vd684 = vangle(sK6,X0,sK6) ),
inference(resolution,[],[f3269,f546]) ).
fof(f3288,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| rR(X1,X2,X0)
| X0 = X1
| ~ ron(X2,sK8(X0,X1))
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| vangle(X2,X1,X0) = vd684
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f3259,f1127]) ).
fof(f3291,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK8(X0,X1))
| rR(X1,X2,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X1 = X2
| vangle(X2,X1,X0) = vd684
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f3288]) ).
fof(f3300,plain,
( sK4 = sK5
| vd684 = vangle(sK4,sK5,sK4) ),
inference(resolution,[],[f3273,f548]) ).
fof(f3302,plain,
vd684 = vangle(sK4,sK5,sK4),
inference(forward_subsumption_resolution,[],[f3300,f870]) ).
fof(f3313,plain,
( vd1303 = sK5
| vd684 = vangle(vd1303,sK5,vd1303) ),
inference(resolution,[],[f3272,f548]) ).
fof(f3346,plain,
! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| vf(X0,vskolem1052(sK4,sK4,X0,X0)) = vf(vskolem1052(sK4,sK4,X0,X0),sK4) ),
inference(resolution,[],[f1080,f550]) ).
fof(f3347,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vf(X0,vskolem1052(sK5,sK5,X0,X0)) = vf(vskolem1052(sK5,sK5,X0,X0),sK5) ),
inference(resolution,[],[f1080,f548]) ).
fof(f3348,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vf(X0,vskolem1052(sK6,sK6,X0,X0)) = vf(vskolem1052(sK6,sK6,X0,X0),sK6) ),
inference(resolution,[],[f1080,f546]) ).
fof(f3360,plain,
( sK4 = sK6
| vf(sK6,vskolem1052(sK4,sK4,sK6,sK6)) = vf(vskolem1052(sK4,sK4,sK6,sK6),sK4) ),
inference(resolution,[],[f3346,f546]) ).
fof(f3361,plain,
( vf(sK6,vskolem1052(sK4,sK4,sK6,sK6)) = vf(vskolem1052(sK4,sK4,sK6,sK6),sK4)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f3360,f1813]) ).
fof(f3390,plain,
( vd1329 = sK6
| vf(vd1329,vskolem1052(sK6,sK6,vd1329,vd1329)) = vf(vskolem1052(sK6,sK6,vd1329,vd1329),sK6) ),
inference(resolution,[],[f3348,f539]) ).
fof(f3400,plain,
vf(vd1329,vskolem1052(sK6,sK6,vd1329,vd1329)) = vf(vskolem1052(sK6,sK6,vd1329,vd1329),sK6),
inference(forward_subsumption_resolution,[],[f3390,f875]) ).
fof(f3482,plain,
! [X2,X0,X1] :
( ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| ~ rR(X0,X1,X2)
| ron(X2,vd1297)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1125,f619]) ).
fof(f3483,plain,
! [X2,X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rR(X0,X1,X2)
| ron(X2,vd1295)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1125,f622]) ).
fof(f3484,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X1)
| ~ ron(X3,sK8(X1,X2))
| ~ rR(X0,X3,X4)
| ron(X4,sK8(X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X0)
| ~ rpoint(X3)
| X1 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(X1,X2)) ),
inference(resolution,[],[f1125,f1131]) ).
fof(f3487,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X1)
| ~ ron(X3,sK8(X1,X2))
| ~ rR(X4,X3,X0)
| ron(X4,sK8(X1,X2))
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X3)
| X1 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(X1,X2)) ),
inference(resolution,[],[f1094,f1131]) ).
fof(f3717,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| ~ ron(X2,sK15(X1,X3))
| X0 = X1
| sK15(X1,X0) = sK15(X1,X3)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(resolution,[],[f2920,f1227]) ).
fof(f3718,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK15(X1,X3))
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X0)
| ~ rpoint(X0)
| X0 = X1
| sK15(X1,X0) = sK15(X1,X3)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f3717]) ).
fof(f3751,plain,
( sK4 = sK6
| vf(sK4,sK6) = vf(sK6,vskolem1052(sK4,sK4,sK6,sK6)) ),
inference(resolution,[],[f2310,f546]) ).
fof(f3752,plain,
( vf(sK4,sK6) = vf(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f3751,f1813]) ).
fof(f3757,plain,
( vf(sK6,sK4) = vf(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_demodulation,[],[f3752,f1990]) ).
fof(f3772,plain,
! [X0] :
( rR(X0,vd1329,vd1300)
| ~ ron(X0,vd1295)
| vd1300 = X0
| vd1329 = X0
| vd684 = vangle(vd1329,X0,vd1300)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(resolution,[],[f2077,f612]) ).
fof(f3779,plain,
! [X0] :
( ~ ron(X0,vd1295)
| rR(X0,vd1329,vd1300)
| vd1300 = X0
| vd1329 = X0
| vd684 = vangle(vd1329,X0,vd1300)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3772,f539]) ).
fof(f3796,plain,
( sK5 = sK6
| vf(sK5,sK6) = vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)) ),
inference(resolution,[],[f2311,f546]) ).
fof(f3797,plain,
vf(sK5,sK6) = vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_subsumption_resolution,[],[f3796,f912]) ).
fof(f3809,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| vf(X0,X2) != vf(X0,X1)
| X0 = X2
| ~ rpoint(X1)
| vf(X0,X1) != vf(X0,sK5)
| ron(sK5,sK15(X0,X2))
| ~ rpoint(X0) ),
inference(resolution,[],[f3079,f548]) ).
fof(f3810,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| vf(X0,X2) != vf(X0,X1)
| X0 = X2
| ~ rpoint(X1)
| vf(X0,X1) != vf(X0,sK6)
| ron(sK6,sK15(X0,X2))
| ~ rpoint(X0) ),
inference(resolution,[],[f3079,f546]) ).
fof(f3817,plain,
( vd1329 = sK6
| vf(sK6,vd1329) = vf(vd1329,vskolem1052(sK6,sK6,vd1329,vd1329)) ),
inference(resolution,[],[f2312,f539]) ).
fof(f3827,plain,
vf(sK6,vd1329) = vf(vd1329,vskolem1052(sK6,sK6,vd1329,vd1329)),
inference(forward_subsumption_resolution,[],[f3817,f875]) ).
fof(f3883,plain,
( sK4 = sK6
| rpoint(vskolem1052(sK4,sK4,sK6,sK6)) ),
inference(resolution,[],[f3138,f546]) ).
fof(f3884,plain,
( rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f3883,f1813]) ).
fof(f3914,plain,
( vf(vskolem1052(sK4,sK4,sK6,sK6),sK4) = vf(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(resolution,[],[f3884,f1877]) ).
fof(f3949,definition,
( spl55_110
<=> sK6 = vskolem1052(sK4,sK4,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_110])],[avatar_definition]) ).
fof(f3950,plain,
( sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ spl55_110 ),
inference(avatar_component_clause,[],[f3949]) ).
fof(f3956,definition,
( spl55_112
<=> sK4 = vskolem1052(sK4,sK4,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_112])],[avatar_definition]) ).
fof(f3957,plain,
( sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ spl55_112 ),
inference(avatar_component_clause,[],[f3956]) ).
fof(f4011,plain,
( vf(sK6,vskolem1052(sK4,sK4,sK6,sK6)) = vf(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_demodulation,[],[f3914,f3361]) ).
fof(f4075,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vf(sK6,sK4) = vf(X0,vskolem1078(X0,X0,sK6,sK5))
| sK5 = X0 ),
inference(forward_demodulation,[],[f3205,f869]) ).
fof(f4114,plain,
( vf(sK6,sK4) = vf(sK6,sK6)
| spl55_21
| ~ spl55_110 ),
inference(forward_demodulation,[],[f3757,f3950]) ).
fof(f4118,plain,
vf(sK6,sK4) = vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_demodulation,[],[f3797,f2009]) ).
fof(f4179,plain,
( vd684 = vf(sK6,sK4)
| spl55_21
| ~ spl55_110 ),
inference(forward_demodulation,[],[f4114,f2074]) ).
fof(f4221,plain,
( $false
| spl55_21
| ~ spl55_110 ),
inference(forward_subsumption_resolution,[],[f4179,f2002]) ).
fof(f4222,plain,
( spl55_21
| ~ spl55_110 ),
inference(avatar_contradiction_clause,[],[f4221]) ).
fof(f4482,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vf(sK6,vd1303) = vf(X0,vskolem1078(X0,X0,sK6,vd1329))
| vd1329 = X0 ),
inference(forward_demodulation,[],[f3209,f876]) ).
fof(f4510,plain,
vf(sK6,vd1303) = vf(vd1329,vskolem1052(sK6,sK6,vd1329,vd1329)),
inference(forward_demodulation,[],[f3827,f876]) ).
fof(f4609,definition,
( spl55_149
<=> rR(sK5,vd1329,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_149])],[avatar_definition]) ).
fof(f4610,plain,
( rR(sK5,vd1329,sK6)
| ~ spl55_149 ),
inference(avatar_component_clause,[],[f4609]) ).
fof(f5598,definition,
( spl55_184
<=> vd684 = vangle(vd1303,sK5,vd1303) ),
introduced(definition,[new_symbols(definition,[spl55_184])],[avatar_definition]) ).
fof(f5599,plain,
( vd684 = vangle(vd1303,sK5,vd1303)
| ~ spl55_184 ),
inference(avatar_component_clause,[],[f5598]) ).
fof(f5600,plain,
( spl55_184
| spl55_50 ),
inference(avatar_split_clause,[],[f3313,f2230,f5598]) ).
fof(f5966,definition,
( spl55_231
<=> sK6 = vskolem1052(sK5,sK5,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_231])],[avatar_definition]) ).
fof(f5967,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_231 ),
inference(avatar_component_clause,[],[f5966]) ).
fof(f6636,plain,
( vf(sK6,sK4) = vf(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_demodulation,[],[f4011,f3757]) ).
fof(f7008,plain,
( sK5 = sK6
| vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK5) ),
inference(resolution,[],[f3347,f546]) ).
fof(f7009,plain,
vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),
inference(forward_subsumption_resolution,[],[f7008,f912]) ).
fof(f7014,plain,
vf(sK6,sK4) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),
inference(forward_demodulation,[],[f7009,f4118]) ).
fof(f7292,plain,
( rR(vd1300,vd1300,sK6)
| ~ spl55_61 ),
inference(superposition,[],[f1905,f2510]) ).
fof(f7590,plain,
( vd1303 = sK6
| vf(sK6,sK4) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,sK5))
| vd1303 = sK5 ),
inference(resolution,[],[f4075,f542]) ).
fof(f7598,plain,
( vf(sK6,sK4) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,sK5))
| vd1303 = sK5 ),
inference(forward_subsumption_resolution,[],[f7590,f879]) ).
fof(f7601,plain,
( vf(sK6,sK4) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,sK5))
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f7598,f2600]) ).
fof(f7686,plain,
( sK5 = sK6
| rpoint(vskolem1052(sK5,sK5,sK6,sK6)) ),
inference(resolution,[],[f3139,f546]) ).
fof(f7687,plain,
rpoint(vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_subsumption_resolution,[],[f7686,f912]) ).
fof(f7874,plain,
( vd1303 = sK6
| vf(sK6,vd1303) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,vd1329))
| vd1329 = vd1303 ),
inference(resolution,[],[f4482,f542]) ).
fof(f7883,plain,
( vf(sK6,vd1303) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,vd1329))
| vd1329 = vd1303 ),
inference(forward_subsumption_resolution,[],[f7874,f879]) ).
fof(f7888,plain,
vf(sK6,vd1303) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,vd1329)),
inference(forward_subsumption_resolution,[],[f7883,f914]) ).
fof(f7893,plain,
( vf(sK6,vd1303) = vf(vd1303,vskolem1078(vd1303,vd1303,sK6,sK5))
| ~ spl55_55 ),
inference(forward_demodulation,[],[f7888,f2405]) ).
fof(f8175,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK4,X0) = sK7(sK4,X0) ),
inference(resolution,[],[f1115,f550]) ).
fof(f8177,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = sK7(sK6,X0) ),
inference(resolution,[],[f1115,f546]) ).
fof(f8190,plain,
vf(sK4,sK5) = sK7(sK4,sK5),
inference(resolution,[],[f8175,f548]) ).
fof(f8217,plain,
vf(sK6,vd1303) = sK7(sK6,vd1303),
inference(resolution,[],[f8177,f542]) ).
fof(f8220,plain,
vf(sK6,sK4) = sK7(sK6,sK4),
inference(resolution,[],[f8177,f550]) ).
fof(f9392,plain,
! [X0] :
( vd1303 = sK6
| ~ rpoint(X0)
| sK6 = X0
| vangle(X0,vd1303,sK6) = vangle(sK6,vd1303,X0) ),
inference(resolution,[],[f3046,f542]) ).
fof(f9397,plain,
! [X0] :
( sK4 = sK6
| ~ rpoint(X0)
| sK6 = X0
| vangle(X0,sK4,sK6) = vangle(sK6,sK4,X0) ),
inference(resolution,[],[f3046,f550]) ).
fof(f9398,plain,
! [X0] :
( sK5 = sK6
| ~ rpoint(X0)
| sK6 = X0
| vangle(sK6,sK5,X0) = vangle(X0,sK5,sK6) ),
inference(resolution,[],[f3046,f548]) ).
fof(f9400,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vangle(sK6,sK5,X0) = vangle(X0,sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f9398,f912]) ).
fof(f9401,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vangle(X0,sK4,sK6) = vangle(sK6,sK4,X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f9397,f1813]) ).
fof(f9405,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vangle(X0,vd1303,sK6) = vangle(sK6,vd1303,X0) ),
inference(forward_subsumption_resolution,[],[f9392,f879]) ).
fof(f9428,plain,
( sK5 = sK6
| vangle(sK6,vd1303,sK5) = vangle(sK5,vd1303,sK6) ),
inference(resolution,[],[f9405,f548]) ).
fof(f9430,plain,
vangle(sK6,vd1303,sK5) = vangle(sK5,vd1303,sK6),
inference(forward_subsumption_resolution,[],[f9428,f912]) ).
fof(f9464,plain,
( sK5 = sK6
| vangle(sK6,sK4,sK5) = vangle(sK5,sK4,sK6)
| spl55_21 ),
inference(resolution,[],[f9401,f548]) ).
fof(f9466,plain,
( vangle(sK6,sK4,sK5) = vangle(sK5,sK4,sK6)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f9464,f912]) ).
fof(f9549,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1295)
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1241,f622]) ).
fof(f9550,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X2,sK8(X3,X4))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(resolution,[],[f1241,f1131]) ).
fof(f9554,plain,
! [X0,X1] :
( rR(sK6,X0,X1)
| rR(X0,X1,sK6)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| rR(X1,X0,sK6)
| sK6 = X1
| sK6 = X0
| X0 = X1
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f9549,f923]) ).
fof(f9555,plain,
! [X0,X1] :
( ~ ron(X1,vd1295)
| rR(X0,X1,sK6)
| rR(sK6,X0,X1)
| ~ ron(X0,vd1295)
| rR(X1,X0,sK6)
| sK6 = X1
| sK6 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f9554,f546]) ).
fof(f9582,plain,
! [X0] :
( rR(X0,sK5,sK6)
| rR(sK6,X0,sK5)
| ~ ron(X0,vd1295)
| rR(sK5,X0,sK6)
| sK5 = sK6
| sK6 = X0
| sK5 = X0
| ~ rpoint(sK5)
| ~ rpoint(X0) ),
inference(resolution,[],[f9555,f919]) ).
fof(f9585,plain,
! [X0] :
( rR(X0,sK5,sK6)
| rR(sK6,X0,sK5)
| ~ ron(X0,vd1295)
| rR(sK5,X0,sK6)
| sK6 = X0
| sK5 = X0
| ~ rpoint(sK5)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f9582,f912]) ).
fof(f9588,plain,
! [X0] :
( ~ ron(X0,vd1295)
| rR(sK6,X0,sK5)
| rR(X0,sK5,sK6)
| rR(sK5,X0,sK6)
| sK6 = X0
| sK5 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f9585,f548]) ).
fof(f9636,plain,
! [X0] :
( vd1303 = sK4
| ~ rpoint(X0)
| sK4 = X0
| vangle(X0,vd1303,sK4) = vangle(sK4,vd1303,X0) ),
inference(resolution,[],[f3044,f542]) ).
fof(f9643,plain,
! [X0] :
( sK4 = sK6
| ~ rpoint(X0)
| sK4 = X0
| vangle(X0,sK6,sK4) = vangle(sK4,sK6,X0) ),
inference(resolution,[],[f3044,f546]) ).
fof(f9644,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| vangle(X0,sK6,sK4) = vangle(sK4,sK6,X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f9643,f1813]) ).
fof(f9651,definition,
( spl55_378
<=> ! [X0] :
( ~ rpoint(X0)
| vangle(X0,vd1303,sK4) = vangle(sK4,vd1303,X0)
| sK4 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl55_378])],[avatar_definition]) ).
fof(f9652,plain,
( ! [X0] :
( ~ rpoint(X0)
| vangle(X0,vd1303,sK4) = vangle(sK4,vd1303,X0)
| sK4 = X0 )
| ~ spl55_378 ),
inference(avatar_component_clause,[],[f9651]) ).
fof(f9653,plain,
( spl55_378
| spl55_66 ),
inference(avatar_split_clause,[],[f9636,f2619,f9651]) ).
fof(f9673,plain,
( vd1303 = sK4
| vangle(vd1303,sK6,sK4) = vangle(sK4,sK6,vd1303)
| spl55_21 ),
inference(resolution,[],[f9644,f542]) ).
fof(f9679,plain,
( sK4 = sK5
| vangle(sK4,sK6,sK5) = vangle(sK5,sK6,sK4)
| spl55_21 ),
inference(resolution,[],[f9644,f548]) ).
fof(f9682,plain,
( vangle(sK4,sK6,sK5) = vangle(sK5,sK6,sK4)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f9679,f870]) ).
fof(f9688,definition,
( spl55_380
<=> vangle(vd1303,sK6,sK4) = vangle(sK4,sK6,vd1303) ),
introduced(definition,[new_symbols(definition,[spl55_380])],[avatar_definition]) ).
fof(f9689,plain,
( vangle(vd1303,sK6,sK4) = vangle(sK4,sK6,vd1303)
| ~ spl55_380 ),
inference(avatar_component_clause,[],[f9688]) ).
fof(f9690,plain,
( spl55_380
| spl55_66
| spl55_21 ),
inference(avatar_split_clause,[],[f9673,f1812,f2619,f9688]) ).
fof(f9717,plain,
! [X0] :
( sK5 = sK6
| ~ rpoint(X0)
| sK5 = X0
| vangle(sK5,sK6,X0) = vangle(X0,sK6,sK5) ),
inference(resolution,[],[f3045,f546]) ).
fof(f9718,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vangle(sK5,sK6,X0) = vangle(X0,sK6,sK5) ),
inference(forward_subsumption_resolution,[],[f9717,f912]) ).
fof(f9818,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X2 = X3
| ~ ron(X2,sK15(X1,X0))
| ~ ron(X3,sK15(X1,X0))
| ~ rinside(X4,sK15(X1,X0))
| ~ ron(X2,X5)
| ~ ron(X3,X5)
| ~ ron(X4,X5)
| rR(X4,X3,X2)
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(resolution,[],[f1229,f1339]) ).
fof(f9821,plain,
( rR(sK6,sK4,vd1303)
| vd1303 = sK6
| sK4 = sK6
| vd684 = vangle(sK4,sK6,vd1303)
| ~ rpoint(sK6) ),
inference(resolution,[],[f2929,f922]) ).
fof(f9822,plain,
( vd1303 = sK6
| sK4 = sK6
| vd684 = vangle(sK4,sK6,vd1303)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f9821,f865]) ).
fof(f9823,plain,
( sK4 = sK6
| vd684 = vangle(sK4,sK6,vd1303)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f9822,f879]) ).
fof(f9824,plain,
( vd684 = vangle(sK4,sK6,vd1303)
| ~ rpoint(sK6)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f9823,f1813]) ).
fof(f9825,plain,
( vd684 = vangle(sK4,sK6,vd1303)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f9824,f546]) ).
fof(f9853,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X1,X2,X0)
| ~ ron(X2,sK8(X3,X0))
| ~ ron(X1,sK8(X3,X0))
| rR(X2,X1,X0)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X3
| ~ rpoint(X0)
| ~ rpoint(X3)
| X0 = X3
| ~ rpoint(X0)
| ~ rpoint(X3) ),
inference(resolution,[],[f9550,f1127]) ).
fof(f9856,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X3,X0))
| rR(X1,X2,X0)
| rR(X0,X1,X2)
| ~ ron(X1,sK8(X3,X0))
| rR(X2,X1,X0)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f9853]) ).
fof(f9866,plain,
! [X2,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X0,sK8(X1,X2))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X1)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f9856,f1129]) ).
fof(f9867,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK8(X1,X2))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f9866]) ).
fof(f9901,definition,
( spl55_383
<=> vd684 = vangle(vd1303,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_383])],[avatar_definition]) ).
fof(f9902,plain,
( vd684 = vangle(vd1303,sK6,sK4)
| ~ spl55_383 ),
inference(avatar_component_clause,[],[f9901]) ).
fof(f9904,definition,
( spl55_384
<=> rR(sK6,vd1303,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_384])],[avatar_definition]) ).
fof(f9912,plain,
! [X0,X1] :
( ~ ron(X0,vd1295)
| ~ rR(sK6,X0,X1)
| ron(X1,vd1295)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(resolution,[],[f3483,f923]) ).
fof(f9913,plain,
! [X0,X1] :
( ~ ron(X0,vd1295)
| ~ rR(sK6,X0,X1)
| ron(X1,vd1295)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f9912,f546]) ).
fof(f10309,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1300)
| ~ spl55_61 ),
inference(resolution,[],[f7292,f1730]) ).
fof(f10320,plain,
( ~ rpoint(vd1300)
| ~ spl55_61 ),
inference(forward_subsumption_resolution,[],[f10309,f546]) ).
fof(f10322,plain,
( $false
| ~ spl55_61 ),
inference(forward_subsumption_resolution,[],[f10320,f545]) ).
fof(f10323,plain,
~ spl55_61,
inference(avatar_contradiction_clause,[],[f10322]) ).
fof(f10366,plain,
( vf(vd1303,vskolem1078(vd1303,vd1303,sK6,sK5)) = sK7(sK6,sK4)
| ~ spl55_55 ),
inference(forward_demodulation,[],[f7601,f8220]) ).
fof(f10400,plain,
( vf(vd1303,vskolem1078(vd1303,vd1303,sK6,sK5)) = sK7(sK6,vd1303)
| ~ spl55_55 ),
inference(forward_demodulation,[],[f7893,f8217]) ).
fof(f10543,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK4)
| spl55_21 ),
inference(forward_demodulation,[],[f9682,f862]) ).
fof(f10873,definition,
( spl55_420
<=> sK5 = vskolem1052(sK5,sK5,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_420])],[avatar_definition]) ).
fof(f10874,plain,
( sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_420 ),
inference(avatar_component_clause,[],[f10873]) ).
fof(f11890,plain,
( sK7(sK6,vd1303) = sK7(sK6,sK4)
| ~ spl55_55 ),
inference(forward_demodulation,[],[f10366,f10400]) ).
fof(f12657,plain,
( rR(sK6,vd1329,sK5)
| rR(vd1329,sK5,sK6)
| rR(sK5,vd1329,sK6)
| vd1329 = sK6
| vd1329 = sK5
| ~ rpoint(vd1329) ),
inference(resolution,[],[f9588,f612]) ).
fof(f13266,plain,
vf(vskolem1052(sK5,sK5,sK6,sK6),sK5) = vf(sK5,vskolem1052(sK5,sK5,sK6,sK6)),
inference(resolution,[],[f7687,f1878]) ).
fof(f13267,plain,
vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK6),
inference(resolution,[],[f7687,f1879]) ).
fof(f13286,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = vf(vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6))) ),
inference(resolution,[],[f7687,f2312]) ).
fof(f13313,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| vf(vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6))) = vf(vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6)),sK6) ),
inference(resolution,[],[f7687,f3348]) ).
fof(f13584,plain,
( vd1300 = sK5
| vangle(vd1300,sK6,sK5) = vangle(sK5,sK6,vd1300) ),
inference(resolution,[],[f9718,f545]) ).
fof(f13619,plain,
( sK4 = sK6
| vangle(sK6,sK5,sK4) = vangle(sK4,sK5,sK6) ),
inference(resolution,[],[f9400,f550]) ).
fof(f13623,plain,
( vangle(sK6,sK5,sK4) = vangle(sK4,sK5,sK6)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f13619,f1813]) ).
fof(f14824,plain,
( vf(sK6,sK4) = vf(sK4,sK4)
| spl55_21
| ~ spl55_112 ),
inference(superposition,[],[f3361,f3957]) ).
fof(f14826,plain,
( vd684 = vf(sK6,sK4)
| spl55_21
| ~ spl55_112 ),
inference(forward_demodulation,[],[f14824,f2072]) ).
fof(f14828,plain,
( $false
| spl55_21
| ~ spl55_112 ),
inference(forward_subsumption_resolution,[],[f14826,f2002]) ).
fof(f14829,plain,
( spl55_21
| ~ spl55_112 ),
inference(avatar_contradiction_clause,[],[f14828]) ).
fof(f15411,plain,
( vf(sK6,sK4) = vf(sK5,sK5)
| ~ spl55_420 ),
inference(superposition,[],[f7014,f10874]) ).
fof(f15413,plain,
( vd684 = vf(sK6,sK4)
| ~ spl55_420 ),
inference(forward_demodulation,[],[f15411,f2073]) ).
fof(f15414,plain,
( $false
| ~ spl55_420 ),
inference(forward_subsumption_resolution,[],[f15413,f2002]) ).
fof(f15415,plain,
~ spl55_420,
inference(avatar_contradiction_clause,[],[f15414]) ).
fof(f15440,definition,
( spl55_611
<=> vf(vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6))) = vf(vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6)),sK6) ),
introduced(definition,[new_symbols(definition,[spl55_611])],[avatar_definition]) ).
fof(f15441,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6))) = vf(vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6)),sK6)
| ~ spl55_611 ),
inference(avatar_component_clause,[],[f15440]) ).
fof(f15442,plain,
( spl55_611
| spl55_231 ),
inference(avatar_split_clause,[],[f13313,f5966,f15440]) ).
fof(f15498,plain,
( vf(sK6,sK4) = vf(vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6)))
| sK6 = vskolem1052(sK5,sK5,sK6,sK6) ),
inference(forward_demodulation,[],[f13286,f4118]) ).
fof(f15516,plain,
vf(sK6,sK4) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK6),
inference(forward_demodulation,[],[f13267,f4118]) ).
fof(f15517,plain,
vf(sK6,sK4) = vf(sK5,vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_demodulation,[],[f13266,f7014]) ).
fof(f15556,plain,
( sK7(sK6,sK4) = vf(vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6)))
| sK6 = vskolem1052(sK5,sK5,sK6,sK6) ),
inference(forward_demodulation,[],[f15498,f8220]) ).
fof(f15566,plain,
sK7(sK6,sK4) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK6),
inference(forward_demodulation,[],[f15516,f8220]) ).
fof(f15567,plain,
sK7(sK6,sK4) = vf(sK5,vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_demodulation,[],[f15517,f8220]) ).
fof(f16184,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 != vangle(X2,X0,X3)
| ~ ron(X2,sK8(X1,X0))
| X0 = X1
| X0 = X3
| X0 = X2
| ron(X3,sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f3103,f1127]) ).
fof(f16185,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 != vangle(X2,X1,X3)
| ~ ron(X2,sK8(X1,X0))
| X0 = X1
| X1 = X3
| X1 = X2
| ron(X3,sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f3103,f1129]) ).
fof(f16186,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X1,X0))
| ~ rpoint(X1)
| vd684 != vangle(X2,X1,X3)
| ~ rpoint(X0)
| X0 = X1
| X1 = X3
| X1 = X2
| ron(X3,sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f16185]) ).
fof(f16187,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X1,X0))
| ~ rpoint(X1)
| vd684 != vangle(X2,X0,X3)
| ~ rpoint(X0)
| X0 = X1
| X0 = X3
| X0 = X2
| ron(X3,sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f16184]) ).
fof(f16189,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| vangle(X0,X1,X2) != vd684
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| X0 = X1
| ron(X2,sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f16187,f1129]) ).
fof(f16190,plain,
! [X2,X0,X1] :
( ron(X2,sK8(X0,X1))
| vangle(X0,X1,X2) != vd684
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f16189]) ).
fof(f16202,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vd684
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| rR(X1,X2,X0)
| rR(X2,X0,X1)
| rR(X0,X2,X1)
| X0 = X1
| X1 = X2
| X0 = X2
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f16190,f9867]) ).
fof(f16203,plain,
! [X2,X3,X0,X1] :
( vangle(X0,X1,X2) != vd684
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X0)
| vd684 != vangle(X2,X1,X3)
| ~ rpoint(X1)
| X0 = X1
| X1 = X3
| X1 = X2
| ron(X3,sK8(X0,X1))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f16190,f16187]) ).
fof(f16204,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| vd684 != vangle(X2,X1,X3)
| X1 = X3
| ron(X3,sK8(X0,X1))
| vangle(X0,X1,X2) != vd684 ),
inference(duplicate_literal_removal,[],[f16203]) ).
fof(f16205,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| vangle(X0,X1,X2) != vd684
| rR(X1,X2,X0)
| rR(X2,X0,X1)
| rR(X0,X2,X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f16202]) ).
fof(f16311,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| sK4 = X0
| ~ rpoint(X0)
| vd684 != vangle(X1,X0,sK4)
| rR(X0,sK4,X1)
| rR(sK4,X1,X0)
| rR(X1,sK4,X0)
| sK4 = X1 ),
inference(resolution,[],[f16205,f550]) ).
fof(f16520,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| vangle(X1,X0,X2) != vd684
| ~ rpoint(X1)
| X0 = X1
| X0 = X2
| X0 = X1
| ron(X2,sK8(X0,X1))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f16186,f1127]) ).
fof(f16525,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| vangle(X1,X0,X2) != vd684
| ~ rpoint(X1)
| X0 = X1
| X0 = X2
| ron(X2,sK8(X0,X1))
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f16520]) ).
fof(f16536,plain,
! [X0,X1] :
( vd684 != vangle(X0,X1,sK4)
| ~ rpoint(X0)
| X0 = X1
| sK4 = X1
| ron(sK4,sK8(X1,X0))
| ~ rpoint(X1) ),
inference(resolution,[],[f16525,f550]) ).
fof(f16537,plain,
! [X0,X1] :
( vd684 != vangle(X0,X1,sK5)
| ~ rpoint(X0)
| X0 = X1
| sK5 = X1
| ron(sK5,sK8(X1,X0))
| ~ rpoint(X1) ),
inference(resolution,[],[f16525,f548]) ).
fof(f16698,plain,
( vd684 != vd684
| ~ rpoint(sK6)
| vd1300 = sK6
| vd1300 = sK5
| ron(sK5,sK8(vd1300,sK6))
| ~ rpoint(vd1300)
| ~ spl55_86 ),
inference(superposition,[],[f16537,f2939]) ).
fof(f16701,plain,
( ~ rpoint(sK6)
| vd1300 = sK6
| vd1300 = sK5
| ron(sK5,sK8(vd1300,sK6))
| ~ rpoint(vd1300)
| ~ spl55_86 ),
inference(trivial_inequality_removal,[],[f16698]) ).
fof(f16712,plain,
( vd1300 = sK6
| vd1300 = sK5
| ron(sK5,sK8(vd1300,sK6))
| ~ rpoint(vd1300)
| ~ spl55_86 ),
inference(forward_subsumption_resolution,[],[f16701,f546]) ).
fof(f16714,plain,
( vd1300 = sK5
| ron(sK5,sK8(vd1300,sK6))
| ~ rpoint(vd1300)
| spl55_20
| ~ spl55_86 ),
inference(forward_subsumption_resolution,[],[f16712,f1808]) ).
fof(f16716,plain,
( vd1300 = sK5
| ron(sK5,sK8(vd1300,sK6))
| spl55_20
| ~ spl55_86 ),
inference(forward_subsumption_resolution,[],[f16714,f545]) ).
fof(f16719,definition,
( spl55_651
<=> ron(sK5,sK8(vd1300,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_651])],[avatar_definition]) ).
fof(f16720,plain,
( ron(sK5,sK8(vd1300,sK6))
| ~ spl55_651 ),
inference(avatar_component_clause,[],[f16719]) ).
fof(f16721,plain,
( spl55_651
| spl55_61
| spl55_20
| ~ spl55_86 ),
inference(avatar_split_clause,[],[f16716,f2938,f1807,f2509,f16719]) ).
fof(f16726,definition,
( spl55_652
<=> vd684 = vangle(vd1300,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_652])],[avatar_definition]) ).
fof(f16727,plain,
( vd684 != vangle(vd1300,sK6,sK5)
| spl55_652 ),
inference(avatar_component_clause,[],[f16726]) ).
fof(f16737,plain,
( rR(sK6,sK5,vd1300)
| vd1300 = sK6
| ~ rpoint(vd1300)
| ~ rpoint(sK6)
| sK5 = sK6
| vd684 = vangle(sK5,sK6,vd1300)
| ~ rpoint(sK5)
| ~ spl55_651 ),
inference(resolution,[],[f16720,f3291]) ).
fof(f16752,plain,
( vd1300 = sK6
| ~ rpoint(vd1300)
| ~ rpoint(sK6)
| sK5 = sK6
| vd684 = vangle(sK5,sK6,vd1300)
| ~ rpoint(sK5)
| spl55_22
| ~ spl55_651 ),
inference(forward_subsumption_resolution,[],[f16737,f1819]) ).
fof(f16763,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK6)
| sK5 = sK6
| vd684 = vangle(sK5,sK6,vd1300)
| ~ rpoint(sK5)
| spl55_20
| spl55_22
| ~ spl55_651 ),
inference(forward_subsumption_resolution,[],[f16752,f1808]) ).
fof(f16774,plain,
( ~ rpoint(sK6)
| sK5 = sK6
| vd684 = vangle(sK5,sK6,vd1300)
| ~ rpoint(sK5)
| spl55_20
| spl55_22
| ~ spl55_651 ),
inference(forward_subsumption_resolution,[],[f16763,f545]) ).
fof(f16785,plain,
( sK5 = sK6
| vd684 = vangle(sK5,sK6,vd1300)
| ~ rpoint(sK5)
| spl55_20
| spl55_22
| ~ spl55_651 ),
inference(forward_subsumption_resolution,[],[f16774,f546]) ).
fof(f16800,plain,
( vd684 = vangle(sK5,sK6,vd1300)
| ~ rpoint(sK5)
| spl55_20
| spl55_22
| ~ spl55_651 ),
inference(forward_subsumption_resolution,[],[f16785,f912]) ).
fof(f16806,plain,
( vd684 = vangle(sK5,sK6,vd1300)
| spl55_20
| spl55_22
| ~ spl55_651 ),
inference(forward_subsumption_resolution,[],[f16800,f548]) ).
fof(f17232,definition,
( spl55_657
<=> rR(sK6,vd1303,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_657])],[avatar_definition]) ).
fof(f17233,plain,
( rR(sK6,vd1303,sK5)
| ~ spl55_657 ),
inference(avatar_component_clause,[],[f17232]) ).
fof(f17234,plain,
( vd684 = vangle(vd1300,sK6,sK5)
| ~ spl55_652 ),
inference(avatar_component_clause,[],[f16726]) ).
fof(f17530,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| X0 = X1
| X0 = X2
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd684 != vangle(X2,X0,sK6)
| sK6 = X0
| ron(sK6,sK8(X1,X0))
| vangle(X1,X0,X2) != vd684 ),
inference(resolution,[],[f16204,f546]) ).
fof(f18043,plain,
! [X0,X1] :
( ~ ron(X0,vd1297)
| ~ rR(vd1303,X0,X1)
| ron(X1,vd1297)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(X0) ),
inference(resolution,[],[f3482,f915]) ).
fof(f18048,plain,
! [X0,X1] :
( ~ rR(vd1303,X0,X1)
| ~ ron(X0,vd1297)
| ron(X1,vd1297)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f18043,f542]) ).
fof(f18226,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rR(sK5,vd1300,sK6)
| ~ spl55_62 ),
inference(resolution,[],[f2513,f2045]) ).
fof(f18242,plain,
( ~ rpoint(sK5)
| ~ rR(sK5,vd1300,sK6)
| ~ spl55_62 ),
inference(forward_subsumption_resolution,[],[f18226,f546]) ).
fof(f18249,plain,
( ~ rR(sK5,vd1300,sK6)
| ~ spl55_62 ),
inference(forward_subsumption_resolution,[],[f18242,f548]) ).
fof(f18254,plain,
( $false
| ~ spl55_62 ),
inference(forward_subsumption_resolution,[],[f18249,f1905]) ).
fof(f18255,plain,
~ spl55_62,
inference(avatar_contradiction_clause,[],[f18254]) ).
fof(f18314,plain,
( vd684 = vangle(vd1300,sK6,sK5)
| vd1300 = sK5
| spl55_20
| spl55_22
| ~ spl55_651 ),
inference(forward_demodulation,[],[f13584,f16806]) ).
fof(f18570,definition,
( spl55_717
<=> vd684 = vangle(vd1303,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_717])],[avatar_definition]) ).
fof(f18571,plain,
( vd684 != vangle(vd1303,sK6,sK5)
| spl55_717 ),
inference(avatar_component_clause,[],[f18570]) ).
fof(f19666,plain,
( rR(vd1300,sK5,sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1300)
| ~ rpoint(sK6)
| ~ spl55_87 ),
inference(resolution,[],[f2942,f1032]) ).
fof(f19669,plain,
( rR(vd1300,sK5,sK6)
| ~ rpoint(vd1300)
| ~ rpoint(sK6)
| ~ spl55_87 ),
inference(forward_subsumption_resolution,[],[f19666,f548]) ).
fof(f19675,plain,
( rR(vd1300,sK5,sK6)
| ~ rpoint(sK6)
| ~ spl55_87 ),
inference(forward_subsumption_resolution,[],[f19669,f545]) ).
fof(f19680,plain,
( rR(vd1300,sK5,sK6)
| ~ spl55_87 ),
inference(forward_subsumption_resolution,[],[f19675,f546]) ).
fof(f19682,plain,
( spl55_62
| ~ spl55_87 ),
inference(avatar_split_clause,[],[f19680,f2941,f2512]) ).
fof(f19777,plain,
( vd1300 = sK5
| spl55_20
| spl55_22
| ~ spl55_651
| spl55_652 ),
inference(forward_subsumption_resolution,[],[f18314,f16727]) ).
fof(f19938,definition,
( spl55_775
<=> rR(sK6,sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_775])],[avatar_definition]) ).
fof(f19939,plain,
( rR(sK6,sK5,sK4)
| ~ spl55_775 ),
inference(avatar_component_clause,[],[f19938]) ).
fof(f19944,definition,
( spl55_777
<=> rR(sK4,sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_777])],[avatar_definition]) ).
fof(f19945,plain,
( rR(sK4,sK5,sK6)
| ~ spl55_777 ),
inference(avatar_component_clause,[],[f19944]) ).
fof(f19948,definition,
( spl55_778
<=> rR(sK5,sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_778])],[avatar_definition]) ).
fof(f19949,plain,
( rR(sK5,sK4,sK6)
| ~ spl55_778 ),
inference(avatar_component_clause,[],[f19948]) ).
fof(f19952,definition,
( spl55_779
<=> vd684 = vangle(sK6,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_779])],[avatar_definition]) ).
fof(f19953,plain,
( vd684 = vangle(sK6,sK4,sK5)
| ~ spl55_779 ),
inference(avatar_component_clause,[],[f19952]) ).
fof(f19960,plain,
( rR(sK4,sK6,sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl55_777 ),
inference(resolution,[],[f19945,f1032]) ).
fof(f19963,plain,
( rR(sK4,sK6,sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl55_777 ),
inference(forward_subsumption_resolution,[],[f19960,f546]) ).
fof(f19969,plain,
( rR(sK4,sK6,sK5)
| ~ rpoint(sK5)
| ~ spl55_777 ),
inference(forward_subsumption_resolution,[],[f19963,f550]) ).
fof(f19975,plain,
( rR(sK4,sK6,sK5)
| ~ spl55_777 ),
inference(forward_subsumption_resolution,[],[f19969,f548]) ).
fof(f20569,plain,
( vd684 != vd684
| ~ rpoint(sK6)
| vd1303 = sK6
| vd1303 = sK4
| ron(sK4,sK8(vd1303,sK6))
| ~ rpoint(vd1303)
| ~ spl55_88 ),
inference(superposition,[],[f16536,f3026]) ).
fof(f20571,plain,
( ~ rpoint(sK6)
| vd1303 = sK6
| vd1303 = sK4
| ron(sK4,sK8(vd1303,sK6))
| ~ rpoint(vd1303)
| ~ spl55_88 ),
inference(trivial_inequality_removal,[],[f20569]) ).
fof(f20584,plain,
( vd1303 = sK6
| vd1303 = sK4
| ron(sK4,sK8(vd1303,sK6))
| ~ rpoint(vd1303)
| ~ spl55_88 ),
inference(forward_subsumption_resolution,[],[f20571,f546]) ).
fof(f20588,plain,
( vd1303 = sK4
| ron(sK4,sK8(vd1303,sK6))
| ~ rpoint(vd1303)
| ~ spl55_88 ),
inference(forward_subsumption_resolution,[],[f20584,f879]) ).
fof(f20592,plain,
( vd1303 = sK4
| ron(sK4,sK8(vd1303,sK6))
| ~ spl55_88 ),
inference(forward_subsumption_resolution,[],[f20588,f542]) ).
fof(f21298,plain,
( rR(sK6,sK5,vd1300)
| ~ spl55_22 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f21300,plain,
( vd684 = vangle(vd1303,sK6,sK5)
| ~ spl55_717 ),
inference(avatar_component_clause,[],[f18570]) ).
fof(f21337,definition,
( spl55_842
<=> vd684 = vangle(sK6,vd1303,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_842])],[avatar_definition]) ).
fof(f21338,plain,
( vd684 = vangle(sK6,vd1303,sK5)
| ~ spl55_842 ),
inference(avatar_component_clause,[],[f21337]) ).
fof(f21341,definition,
( spl55_843
<=> rR(sK6,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_843])],[avatar_definition]) ).
fof(f21342,plain,
( rR(sK6,sK4,sK5)
| ~ spl55_843 ),
inference(avatar_component_clause,[],[f21341]) ).
fof(f21365,definition,
( spl55_844
<=> ron(sK4,sK8(vd1303,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_844])],[avatar_definition]) ).
fof(f21366,plain,
( ron(sK4,sK8(vd1303,sK6))
| ~ spl55_844 ),
inference(avatar_component_clause,[],[f21365]) ).
fof(f21367,plain,
( spl55_844
| spl55_66
| ~ spl55_88 ),
inference(avatar_split_clause,[],[f20592,f3025,f2619,f21365]) ).
fof(f21524,plain,
( vd684 != vangle(sK6,vd1303,sK5)
| spl55_842 ),
inference(avatar_component_clause,[],[f21337]) ).
fof(f21526,definition,
( spl55_849
<=> ron(sK4,sK8(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_849])],[avatar_definition]) ).
fof(f21527,plain,
( ron(sK4,sK8(sK5,sK6))
| ~ spl55_849 ),
inference(avatar_component_clause,[],[f21526]) ).
fof(f21672,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| vd1303 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(vd1303)
| ~ rpoint(sK6) )
| ~ spl55_383 ),
inference(superposition,[],[f1098,f9902]) ).
fof(f21673,plain,
( ! [X0] :
( ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| vd1303 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(vd1303)
| ~ rpoint(sK6) )
| ~ spl55_383 ),
inference(trivial_inequality_removal,[],[f21672]) ).
fof(f21858,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK5)
| ~ rR(sK5,sK6,vd1300)
| ~ spl55_22 ),
inference(resolution,[],[f21298,f2049]) ).
fof(f21876,plain,
( ~ rpoint(sK5)
| ~ rR(sK5,sK6,vd1300)
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f21858,f545]) ).
fof(f21883,plain,
( ~ rR(sK5,sK6,vd1300)
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f21876,f548]) ).
fof(f21888,plain,
( $false
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f21883,f868]) ).
fof(f21889,plain,
~ spl55_22,
inference(avatar_contradiction_clause,[],[f21888]) ).
fof(f22037,plain,
( rR(vd1303,sK4,sK6)
| ~ rpoint(sK4)
| ~ rpoint(vd1303)
| ~ rpoint(sK6)
| ~ spl55_89 ),
inference(resolution,[],[f3029,f1032]) ).
fof(f22040,plain,
( rR(vd1303,sK4,sK6)
| ~ rpoint(vd1303)
| ~ rpoint(sK6)
| ~ spl55_89 ),
inference(forward_subsumption_resolution,[],[f22037,f550]) ).
fof(f22046,plain,
( rR(vd1303,sK4,sK6)
| ~ rpoint(sK6)
| ~ spl55_89 ),
inference(forward_subsumption_resolution,[],[f22040,f542]) ).
fof(f22051,plain,
( rR(vd1303,sK4,sK6)
| ~ spl55_89 ),
inference(forward_subsumption_resolution,[],[f22046,f546]) ).
fof(f22053,plain,
( spl55_71
| ~ spl55_89 ),
inference(avatar_split_clause,[],[f22051,f3028,f2647]) ).
fof(f22065,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ rR(sK4,vd1303,sK6)
| ~ spl55_71 ),
inference(resolution,[],[f2648,f2046]) ).
fof(f22081,plain,
( ~ rpoint(sK4)
| ~ rR(sK4,vd1303,sK6)
| ~ spl55_71 ),
inference(forward_subsumption_resolution,[],[f22065,f546]) ).
fof(f22088,plain,
( ~ rR(sK4,vd1303,sK6)
| ~ spl55_71 ),
inference(forward_subsumption_resolution,[],[f22081,f550]) ).
fof(f22093,plain,
( $false
| ~ spl55_71 ),
inference(forward_subsumption_resolution,[],[f22088,f1906]) ).
fof(f22094,plain,
~ spl55_71,
inference(avatar_contradiction_clause,[],[f22093]) ).
fof(f22111,plain,
( ! [X0] :
( ~ rpoint(vd1303)
| rR(sK4,X0,sK6)
| vd1303 = sK6
| ~ ron(X0,sK8(vd1303,sK6))
| ~ rpoint(sK6)
| sK4 = sK6
| sK4 = X0
| vd684 = vangle(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| ~ spl55_844 ),
inference(resolution,[],[f21366,f3260]) ).
fof(f22131,plain,
( ! [X0] :
( rR(sK4,X0,sK6)
| vd1303 = sK6
| ~ ron(X0,sK8(vd1303,sK6))
| ~ rpoint(sK6)
| sK4 = sK6
| sK4 = X0
| vd684 = vangle(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f22111,f542]) ).
fof(f22140,plain,
( ! [X0] :
( rR(sK4,X0,sK6)
| ~ ron(X0,sK8(vd1303,sK6))
| ~ rpoint(sK6)
| sK4 = sK6
| sK4 = X0
| vd684 = vangle(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f22131,f879]) ).
fof(f22149,plain,
( ! [X0] :
( rR(sK4,X0,sK6)
| ~ ron(X0,sK8(vd1303,sK6))
| sK4 = sK6
| sK4 = X0
| vd684 = vangle(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f22140,f546]) ).
fof(f22158,plain,
( ! [X0] :
( rR(sK4,X0,sK6)
| ~ ron(X0,sK8(vd1303,sK6))
| sK4 = X0
| vd684 = vangle(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| spl55_21
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f22149,f1813]) ).
fof(f22164,plain,
( ! [X0] :
( ~ ron(X0,sK8(vd1303,sK6))
| rR(sK4,X0,sK6)
| sK4 = X0
| vd684 = vangle(X0,sK4,sK6)
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f22158,f550]) ).
fof(f22267,definition,
( spl55_858
<=> rR(sK6,sK5,vd1303) ),
introduced(definition,[new_symbols(definition,[spl55_858])],[avatar_definition]) ).
fof(f22268,plain,
( rR(sK6,sK5,vd1303)
| ~ spl55_858 ),
inference(avatar_component_clause,[],[f22267]) ).
fof(f22273,definition,
( spl55_860
<=> rR(vd1303,sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_860])],[avatar_definition]) ).
fof(f22274,plain,
( rR(vd1303,sK5,sK6)
| ~ spl55_860 ),
inference(avatar_component_clause,[],[f22273]) ).
fof(f22277,definition,
( spl55_861
<=> rR(sK5,vd1303,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_861])],[avatar_definition]) ).
fof(f22285,plain,
( rR(sK6,vd1303,sK5)
| ~ rpoint(vd1303)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ spl55_858 ),
inference(resolution,[],[f22268,f1032]) ).
fof(f22288,plain,
( rR(sK6,vd1303,sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ spl55_858 ),
inference(forward_subsumption_resolution,[],[f22285,f542]) ).
fof(f22295,plain,
( rR(sK6,vd1303,sK5)
| ~ rpoint(sK5)
| ~ spl55_858 ),
inference(forward_subsumption_resolution,[],[f22288,f546]) ).
fof(f22302,plain,
( rR(sK6,vd1303,sK5)
| ~ spl55_858 ),
inference(forward_subsumption_resolution,[],[f22295,f548]) ).
fof(f22304,plain,
( spl55_657
| ~ spl55_858 ),
inference(avatar_split_clause,[],[f22302,f22267,f17232]) ).
fof(f22316,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1303)
| ~ rR(sK5,vd1303,sK6)
| ~ spl55_860 ),
inference(resolution,[],[f22274,f2048]) ).
fof(f22317,plain,
( rR(vd1303,sK6,sK5)
| ~ rpoint(sK6)
| ~ rpoint(vd1303)
| ~ rpoint(sK5)
| ~ spl55_860 ),
inference(resolution,[],[f22274,f1032]) ).
fof(f22320,plain,
( rR(vd1303,sK6,sK5)
| ~ rpoint(vd1303)
| ~ rpoint(sK5)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22317,f546]) ).
fof(f22321,plain,
( ~ rpoint(vd1303)
| ~ rR(sK5,vd1303,sK6)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22316,f546]) ).
fof(f22327,plain,
( rR(vd1303,sK6,sK5)
| ~ rpoint(sK5)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22320,f542]) ).
fof(f22328,plain,
( ~ rR(sK5,vd1303,sK6)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22321,f542]) ).
fof(f22334,plain,
( rR(vd1303,sK6,sK5)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22327,f548]) ).
fof(f22524,plain,
( ~ ron(sK6,vd1297)
| ron(sK5,vd1297)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl55_860 ),
inference(resolution,[],[f22334,f18048]) ).
fof(f22535,plain,
( ron(sK5,vd1297)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22524,f922]) ).
fof(f22540,plain,
( ron(sK5,vd1297)
| ~ rpoint(sK6)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22535,f548]) ).
fof(f22542,plain,
( ron(sK5,vd1297)
| ~ spl55_860 ),
inference(forward_subsumption_resolution,[],[f22540,f546]) ).
fof(f22573,plain,
( ~ rpoint(sK5)
| ~ rpoint(vd1303)
| ~ rR(vd1303,sK6,sK5)
| ~ spl55_657 ),
inference(resolution,[],[f17233,f2049]) ).
fof(f22580,plain,
( ~ rpoint(vd1303)
| ~ rR(vd1303,sK6,sK5)
| ~ spl55_657 ),
inference(forward_subsumption_resolution,[],[f22573,f548]) ).
fof(f22583,plain,
( ~ rR(vd1303,sK6,sK5)
| ~ spl55_657 ),
inference(forward_subsumption_resolution,[],[f22580,f542]) ).
fof(f22597,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rR(sK4,sK6,sK5)
| ~ spl55_843 ),
inference(resolution,[],[f21342,f2049]) ).
fof(f22613,plain,
( ~ rpoint(sK4)
| ~ rR(sK4,sK6,sK5)
| ~ spl55_843 ),
inference(forward_subsumption_resolution,[],[f22597,f548]) ).
fof(f22619,plain,
( ~ rR(sK4,sK6,sK5)
| ~ spl55_843 ),
inference(forward_subsumption_resolution,[],[f22613,f550]) ).
fof(f22623,plain,
( $false
| ~ spl55_777
| ~ spl55_843 ),
inference(forward_subsumption_resolution,[],[f22619,f19975]) ).
fof(f22624,plain,
( ~ spl55_777
| ~ spl55_843 ),
inference(avatar_contradiction_clause,[],[f22623]) ).
fof(f22736,plain,
( ! [X0] :
( ~ rR(sK4,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| rR(sK6,sK5,X0) )
| ~ spl55_775 ),
inference(resolution,[],[f19939,f2341]) ).
fof(f22738,plain,
( rR(sK6,sK4,sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ spl55_775 ),
inference(resolution,[],[f19939,f1032]) ).
fof(f22745,plain,
( rR(sK6,sK4,sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f22738,f550]) ).
fof(f22747,plain,
( ! [X0] :
( ~ rR(sK4,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| rR(sK6,sK5,X0) )
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f22736,f550]) ).
fof(f22752,plain,
( rR(sK6,sK4,sK5)
| ~ rpoint(sK5)
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f22745,f546]) ).
fof(f22754,plain,
( ! [X0] :
( ~ rR(sK4,sK6,X0)
| ~ rpoint(X0)
| rR(sK6,sK5,X0) )
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f22747,f546]) ).
fof(f22759,plain,
( rR(sK6,sK4,sK5)
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f22752,f548]) ).
fof(f22765,plain,
( spl55_843
| ~ spl55_775 ),
inference(avatar_split_clause,[],[f22759,f19938,f21341]) ).
fof(f22802,plain,
( vd684 != vd684
| ~ rpoint(sK6)
| sK4 = sK6
| sK4 = sK5
| ron(sK5,sK8(sK4,sK6))
| ~ rpoint(sK4)
| ~ spl55_779 ),
inference(superposition,[],[f16537,f19953]) ).
fof(f22805,plain,
( ~ rpoint(sK6)
| sK4 = sK6
| sK4 = sK5
| ron(sK5,sK8(sK4,sK6))
| ~ rpoint(sK4)
| ~ spl55_779 ),
inference(trivial_inequality_removal,[],[f22802]) ).
fof(f22806,plain,
( sK4 = sK6
| sK4 = sK5
| ron(sK5,sK8(sK4,sK6))
| ~ rpoint(sK4)
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22805,f546]) ).
fof(f22807,plain,
( sK4 = sK5
| ron(sK5,sK8(sK4,sK6))
| ~ rpoint(sK4)
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22806,f1813]) ).
fof(f22808,plain,
( ron(sK5,sK8(sK4,sK6))
| ~ rpoint(sK4)
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22807,f870]) ).
fof(f22809,plain,
( ron(sK5,sK8(sK4,sK6))
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22808,f550]) ).
fof(f22861,plain,
( ! [X0] :
( ~ rpoint(sK4)
| vd684 != vangle(sK5,sK4,X0)
| ~ rpoint(sK6)
| sK4 = sK6
| sK4 = X0
| sK4 = sK5
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(resolution,[],[f22809,f16186]) ).
fof(f22862,plain,
( ! [X0] :
( ~ rpoint(sK4)
| vd684 != vangle(sK5,sK6,X0)
| ~ rpoint(sK6)
| sK4 = sK6
| sK6 = X0
| sK5 = sK6
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(resolution,[],[f22809,f16187]) ).
fof(f22871,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK6,X0)
| ~ rpoint(sK6)
| sK4 = sK6
| sK6 = X0
| sK5 = sK6
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22862,f550]) ).
fof(f22872,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK4,X0)
| ~ rpoint(sK6)
| sK4 = sK6
| sK4 = X0
| sK4 = sK5
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22861,f550]) ).
fof(f22885,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK6,X0)
| sK4 = sK6
| sK6 = X0
| sK5 = sK6
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22871,f546]) ).
fof(f22886,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK4,X0)
| sK4 = sK6
| sK4 = X0
| sK4 = sK5
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22872,f546]) ).
fof(f22899,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK6,X0)
| sK6 = X0
| sK5 = sK6
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22885,f1813]) ).
fof(f22900,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK4,X0)
| sK4 = X0
| sK4 = sK5
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22886,f1813]) ).
fof(f22913,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK6,X0)
| sK6 = X0
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22899,f912]) ).
fof(f22914,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK4,X0)
| sK4 = X0
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22900,f870]) ).
fof(f22925,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK6,X0)
| sK6 = X0
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22913,f548]) ).
fof(f22926,plain,
( ! [X0] :
( vd684 != vangle(sK5,sK4,X0)
| sK4 = X0
| ron(X0,sK8(sK4,sK6))
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f22914,f548]) ).
fof(f23726,plain,
( rR(sK4,sK6,sK6)
| sK4 = sK6
| vd684 = vangle(sK6,sK4,sK6)
| ~ rpoint(sK6)
| vd1303 = sK6
| ~ rpoint(sK6)
| ~ rpoint(vd1303)
| spl55_21
| ~ spl55_844 ),
inference(resolution,[],[f22164,f1127]) ).
fof(f23735,plain,
( rR(sK4,sK6,sK6)
| sK4 = sK6
| vd684 = vangle(sK6,sK4,sK6)
| ~ rpoint(sK6)
| vd1303 = sK6
| ~ rpoint(vd1303)
| spl55_21
| ~ spl55_844 ),
inference(duplicate_literal_removal,[],[f23726]) ).
fof(f23790,definition,
( spl55_893
<=> ron(sK5,sK8(sK4,vd1303)) ),
introduced(definition,[new_symbols(definition,[spl55_893])],[avatar_definition]) ).
fof(f23791,plain,
( ron(sK5,sK8(sK4,vd1303))
| ~ spl55_893 ),
inference(avatar_component_clause,[],[f23790]) ).
fof(f23852,plain,
( vd684 != vangle(sK6,sK4,sK5)
| sK4 = sK6
| ron(sK6,sK8(sK4,sK6))
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_779 ),
inference(superposition,[],[f22926,f9466]) ).
fof(f23854,plain,
( sK4 = sK6
| ron(sK6,sK8(sK4,sK6))
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f23852,f19953]) ).
fof(f23855,plain,
( ron(sK6,sK8(sK4,sK6))
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f23854,f1813]) ).
fof(f23856,plain,
( ron(sK6,sK8(sK4,sK6))
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f23855,f546]) ).
fof(f24081,plain,
( ~ rpoint(vd1303)
| rR(sK6,sK5,vd1303)
| ~ spl55_775 ),
inference(resolution,[],[f22754,f867]) ).
fof(f25221,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| X0 = X2
| sK15(X0,X1) = sK15(X0,X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f3718,f1225]) ).
fof(f25224,plain,
! [X2,X0,X1] :
( ~ rpoint(X1)
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| X0 = X2
| sK15(X0,X1) = sK15(X0,X2)
| ~ rpoint(X0)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f25221]) ).
fof(f25236,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK15(X0,X1) = sK15(X0,sK5)
| vf(X0,X1) != vf(X0,sK5)
| sK5 = X0 ),
inference(resolution,[],[f25224,f548]) ).
fof(f25237,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| sK15(X0,X1) = sK15(X0,sK6)
| vf(X0,X1) != vf(X0,sK6)
| sK6 = X0 ),
inference(resolution,[],[f25224,f546]) ).
fof(f25666,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| sK15(sK6,X0) = sK15(sK6,sK5)
| vf(sK6,sK5) != vf(sK6,X0)
| sK5 = sK6 ),
inference(resolution,[],[f25236,f546]) ).
fof(f25667,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| sK15(sK6,X0) = sK15(sK6,sK5)
| vf(sK6,sK5) != vf(sK6,X0) ),
inference(forward_subsumption_resolution,[],[f25666,f912]) ).
fof(f25677,plain,
! [X0] :
( vf(sK6,sK4) != vf(sK6,X0)
| ~ rpoint(X0)
| sK6 = X0
| sK15(sK6,X0) = sK15(sK6,sK5) ),
inference(forward_demodulation,[],[f25667,f869]) ).
fof(f25690,plain,
! [X0] :
( vf(sK6,X0) != sK7(sK6,sK4)
| ~ rpoint(X0)
| sK6 = X0
| sK15(sK6,X0) = sK15(sK6,sK5) ),
inference(forward_demodulation,[],[f25677,f8220]) ).
fof(f25699,plain,
( ! [X0] :
( vf(sK6,X0) != sK7(sK6,vd1303)
| ~ rpoint(X0)
| sK6 = X0
| sK15(sK6,X0) = sK15(sK6,sK5) )
| ~ spl55_55 ),
inference(forward_demodulation,[],[f25690,f11890]) ).
fof(f26235,definition,
( spl55_955
<=> rR(sK5,vd1303,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_955])],[avatar_definition]) ).
fof(f26236,plain,
( rR(sK5,vd1303,sK4)
| ~ spl55_955 ),
inference(avatar_component_clause,[],[f26235]) ).
fof(f26339,definition,
( spl55_959
<=> vd684 = vangle(sK4,vd1303,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_959])],[avatar_definition]) ).
fof(f26340,plain,
( vd684 = vangle(sK4,vd1303,sK5)
| ~ spl55_959 ),
inference(avatar_component_clause,[],[f26339]) ).
fof(f29175,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(sK4,X1))
| ~ rR(X2,X0,X3)
| ron(X3,sK8(sK4,X1))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| sK4 = X1
| ~ rpoint(X1)
| ~ ron(X0,sK8(sK4,X1)) ),
inference(resolution,[],[f3484,f550]) ).
fof(f29176,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(sK5,X1))
| ~ rR(X2,X0,X3)
| ron(X3,sK8(sK5,X1))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| sK5 = X1
| ~ rpoint(X1)
| ~ ron(X0,sK8(sK5,X1)) ),
inference(resolution,[],[f3484,f548]) ).
fof(f29210,plain,
! [X2,X0,X1] :
( ~ rR(X0,X1,X2)
| ron(X2,sK8(sK4,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(X1,sK8(sK4,X0))
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(resolution,[],[f29175,f1127]) ).
fof(f29212,plain,
! [X2,X0,X1] :
( ~ rR(sK4,X0,X1)
| ron(X1,sK8(sK4,X2))
| ~ rpoint(X1)
| ~ rpoint(sK4)
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X2))
| sK4 = X2
| ~ rpoint(X2)
| ~ rpoint(sK4) ),
inference(resolution,[],[f29175,f1129]) ).
fof(f29220,plain,
! [X2,X0,X1] :
( ~ rR(sK4,X0,X1)
| ron(X1,sK8(sK4,X2))
| ~ rpoint(X1)
| ~ rpoint(sK4)
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X2)) ),
inference(duplicate_literal_removal,[],[f29212]) ).
fof(f29222,plain,
! [X2,X0,X1] :
( ~ rR(X0,X1,X2)
| ron(X2,sK8(sK4,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| ~ rpoint(sK4) ),
inference(duplicate_literal_removal,[],[f29210]) ).
fof(f29228,plain,
! [X2,X0,X1] :
( ~ rR(sK4,X0,X1)
| ron(X1,sK8(sK4,X2))
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X2)) ),
inference(forward_subsumption_resolution,[],[f29220,f550]) ).
fof(f29230,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(sK4,X0))
| ron(X2,sK8(sK4,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X0
| ~ rR(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f29222,f550]) ).
fof(f29244,plain,
! [X0] :
( ron(sK6,sK8(sK4,X0))
| ~ rpoint(sK6)
| ~ rpoint(vd1303)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(vd1303,sK8(sK4,X0)) ),
inference(resolution,[],[f29228,f1906]) ).
fof(f29253,plain,
! [X0] :
( ron(sK6,sK8(sK4,X0))
| ~ rpoint(vd1303)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(vd1303,sK8(sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f29244,f546]) ).
fof(f29259,plain,
! [X0] :
( ~ ron(vd1303,sK8(sK4,X0))
| sK4 = X0
| ~ rpoint(X0)
| ron(sK6,sK8(sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f29253,f542]) ).
fof(f29279,plain,
! [X0,X1] :
( ron(X0,sK8(sK4,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK4)
| sK4 = X1
| ~ rR(X1,sK4,X0)
| sK4 = X1
| ~ rpoint(X1)
| ~ rpoint(sK4) ),
inference(resolution,[],[f29230,f1129]) ).
fof(f29287,plain,
! [X0,X1] :
( ron(X0,sK8(sK4,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK4)
| sK4 = X1
| ~ rR(X1,sK4,X0) ),
inference(duplicate_literal_removal,[],[f29279]) ).
fof(f29294,plain,
! [X0,X1] :
( ~ rR(X1,sK4,X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X1
| ron(X0,sK8(sK4,X1)) ),
inference(forward_subsumption_resolution,[],[f29287,f550]) ).
fof(f29578,plain,
! [X2,X0,X1] :
( ~ rR(X0,X1,X2)
| ron(X2,sK8(sK5,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK5 = X0
| ~ rpoint(X0)
| ~ ron(X1,sK8(sK5,X0))
| sK5 = X0
| ~ rpoint(X0)
| ~ rpoint(sK5) ),
inference(resolution,[],[f29176,f1127]) ).
fof(f29580,plain,
! [X2,X0,X1] :
( ~ rR(sK5,X0,X1)
| ron(X1,sK8(sK5,X2))
| ~ rpoint(X1)
| ~ rpoint(sK5)
| ~ rpoint(X0)
| sK5 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK5,X2))
| sK5 = X2
| ~ rpoint(X2)
| ~ rpoint(sK5) ),
inference(resolution,[],[f29176,f1129]) ).
fof(f29588,plain,
! [X2,X0,X1] :
( ~ rR(sK5,X0,X1)
| ron(X1,sK8(sK5,X2))
| ~ rpoint(X1)
| ~ rpoint(sK5)
| ~ rpoint(X0)
| sK5 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK5,X2)) ),
inference(duplicate_literal_removal,[],[f29580]) ).
fof(f29590,plain,
! [X2,X0,X1] :
( ~ rR(X0,X1,X2)
| ron(X2,sK8(sK5,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK5 = X0
| ~ ron(X1,sK8(sK5,X0))
| ~ rpoint(sK5) ),
inference(duplicate_literal_removal,[],[f29578]) ).
fof(f29597,plain,
! [X2,X0,X1] :
( ~ rR(sK5,X0,X1)
| ron(X1,sK8(sK5,X2))
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK5 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK5,X2)) ),
inference(forward_subsumption_resolution,[],[f29588,f548]) ).
fof(f29599,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(sK5,X0))
| ron(X2,sK8(sK5,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK5 = X0
| ~ rR(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f29590,f548]) ).
fof(f29617,plain,
! [X0] :
( ron(sK6,sK8(sK5,X0))
| ~ rpoint(sK6)
| ~ rpoint(vd1300)
| sK5 = X0
| ~ rpoint(X0)
| ~ ron(vd1300,sK8(sK5,X0)) ),
inference(resolution,[],[f29597,f1905]) ).
fof(f29620,plain,
! [X0] :
( ron(vd1300,sK8(sK5,X0))
| ~ rpoint(vd1300)
| ~ rpoint(sK6)
| sK5 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK5,X0)) ),
inference(resolution,[],[f29597,f868]) ).
fof(f29621,plain,
! [X0] :
( ron(vd1300,sK8(sK5,X0))
| ~ rpoint(sK6)
| sK5 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK5,X0)) ),
inference(forward_subsumption_resolution,[],[f29620,f545]) ).
fof(f29624,plain,
! [X0] :
( ron(sK6,sK8(sK5,X0))
| ~ rpoint(vd1300)
| sK5 = X0
| ~ rpoint(X0)
| ~ ron(vd1300,sK8(sK5,X0)) ),
inference(forward_subsumption_resolution,[],[f29617,f546]) ).
fof(f29627,plain,
! [X0] :
( ~ ron(sK6,sK8(sK5,X0))
| sK5 = X0
| ~ rpoint(X0)
| ron(vd1300,sK8(sK5,X0)) ),
inference(forward_subsumption_resolution,[],[f29621,f546]) ).
fof(f29630,plain,
! [X0] :
( ~ ron(vd1300,sK8(sK5,X0))
| sK5 = X0
| ~ rpoint(X0)
| ron(sK6,sK8(sK5,X0)) ),
inference(forward_subsumption_resolution,[],[f29624,f545]) ).
fof(f29634,plain,
( sK5 = sK6
| ~ rpoint(sK6)
| ron(vd1300,sK8(sK5,sK6))
| sK5 = sK6
| ~ rpoint(sK6)
| ~ rpoint(sK5) ),
inference(resolution,[],[f29627,f1127]) ).
fof(f29637,plain,
( sK5 = sK6
| ~ rpoint(sK6)
| ron(vd1300,sK8(sK5,sK6))
| ~ rpoint(sK5) ),
inference(duplicate_literal_removal,[],[f29634]) ).
fof(f29640,plain,
( ~ rpoint(sK6)
| ron(vd1300,sK8(sK5,sK6))
| ~ rpoint(sK5) ),
inference(forward_subsumption_resolution,[],[f29637,f912]) ).
fof(f29643,plain,
( ron(vd1300,sK8(sK5,sK6))
| ~ rpoint(sK5) ),
inference(forward_subsumption_resolution,[],[f29640,f546]) ).
fof(f29645,plain,
ron(vd1300,sK8(sK5,sK6)),
inference(forward_subsumption_resolution,[],[f29643,f548]) ).
fof(f29659,plain,
! [X0] :
( ~ rpoint(sK5)
| vd684 != vangle(vd1300,sK6,X0)
| ~ rpoint(sK6)
| sK5 = sK6
| sK6 = X0
| vd1300 = sK6
| ron(X0,sK8(sK5,sK6))
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f29645,f16187]) ).
fof(f29668,plain,
! [X0] :
( vd684 != vangle(vd1300,sK6,X0)
| ~ rpoint(sK6)
| sK5 = sK6
| sK6 = X0
| vd1300 = sK6
| ron(X0,sK8(sK5,sK6))
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f29659,f548]) ).
fof(f29682,plain,
! [X0] :
( vd684 != vangle(vd1300,sK6,X0)
| sK5 = sK6
| sK6 = X0
| vd1300 = sK6
| ron(X0,sK8(sK5,sK6))
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f29668,f546]) ).
fof(f29696,plain,
! [X0] :
( vd684 != vangle(vd1300,sK6,X0)
| sK6 = X0
| vd1300 = sK6
| ron(X0,sK8(sK5,sK6))
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f29682,f912]) ).
fof(f29710,plain,
( ! [X0] :
( vd684 != vangle(vd1300,sK6,X0)
| sK6 = X0
| ron(X0,sK8(sK5,sK6))
| ~ rpoint(X0)
| ~ rpoint(vd1300) )
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f29696,f1808]) ).
fof(f29724,plain,
( ! [X0] :
( vd684 != vangle(vd1300,sK6,X0)
| sK6 = X0
| ron(X0,sK8(sK5,sK6))
| ~ rpoint(X0) )
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f29710,f545]) ).
fof(f29741,plain,
! [X0,X1] :
( ron(X0,sK8(sK5,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK5)
| sK5 = X1
| ~ rR(X1,sK5,X0)
| sK5 = X1
| ~ rpoint(X1)
| ~ rpoint(sK5) ),
inference(resolution,[],[f29599,f1129]) ).
fof(f29750,plain,
! [X0,X1] :
( ron(X0,sK8(sK5,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK5)
| sK5 = X1
| ~ rR(X1,sK5,X0) ),
inference(duplicate_literal_removal,[],[f29741]) ).
fof(f29760,plain,
! [X0,X1] :
( ~ rR(X1,sK5,X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK5 = X1
| ron(X0,sK8(sK5,X1)) ),
inference(forward_subsumption_resolution,[],[f29750,f548]) ).
fof(f29794,definition,
( spl55_1086
<=> ron(sK6,sK8(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_1086])],[avatar_definition]) ).
fof(f29795,plain,
( ron(sK6,sK8(sK5,sK6))
| ~ spl55_1086 ),
inference(avatar_component_clause,[],[f29794]) ).
fof(f29803,plain,
( vd684 != vd684
| sK5 = sK6
| ron(sK5,sK8(sK5,sK6))
| ~ rpoint(sK5)
| spl55_20
| ~ spl55_652 ),
inference(superposition,[],[f29724,f17234]) ).
fof(f29804,plain,
( sK5 = sK6
| ron(sK5,sK8(sK5,sK6))
| ~ rpoint(sK5)
| spl55_20
| ~ spl55_652 ),
inference(trivial_inequality_removal,[],[f29803]) ).
fof(f29806,plain,
( ron(sK5,sK8(sK5,sK6))
| ~ rpoint(sK5)
| spl55_20
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f29804,f912]) ).
fof(f29807,plain,
( ron(sK5,sK8(sK5,sK6))
| spl55_20
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f29806,f548]) ).
fof(f30158,plain,
( vd1303 = sK4
| ~ rpoint(vd1303)
| ron(sK6,sK8(sK4,vd1303))
| vd1303 = sK4
| ~ rpoint(vd1303)
| ~ rpoint(sK4) ),
inference(resolution,[],[f29259,f1127]) ).
fof(f30161,plain,
( vd1303 = sK4
| ~ rpoint(vd1303)
| ron(sK6,sK8(sK4,vd1303))
| ~ rpoint(sK4) ),
inference(duplicate_literal_removal,[],[f30158]) ).
fof(f30163,plain,
( vd1303 = sK4
| ron(sK6,sK8(sK4,vd1303))
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f30161,f542]) ).
fof(f30165,plain,
( vd1303 = sK4
| ron(sK6,sK8(sK4,vd1303)) ),
inference(forward_subsumption_resolution,[],[f30163,f550]) ).
fof(f30167,definition,
( spl55_1105
<=> ron(sK6,sK8(sK4,vd1303)) ),
introduced(definition,[new_symbols(definition,[spl55_1105])],[avatar_definition]) ).
fof(f30168,plain,
( ron(sK6,sK8(sK4,vd1303))
| ~ spl55_1105 ),
inference(avatar_component_clause,[],[f30167]) ).
fof(f30169,plain,
( spl55_1105
| spl55_66 ),
inference(avatar_split_clause,[],[f30165,f2619,f30167]) ).
fof(f30175,plain,
( ! [X0] :
( ~ rpoint(sK4)
| rR(sK6,X0,sK4)
| vd1303 = sK4
| ~ ron(X0,sK8(sK4,vd1303))
| ~ rpoint(vd1303)
| sK4 = sK6
| sK6 = X0
| vd684 = vangle(X0,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(resolution,[],[f30168,f3259]) ).
fof(f30185,plain,
( ! [X0] :
( ~ rpoint(sK4)
| vd684 != vangle(sK6,vd1303,X0)
| ~ rpoint(vd1303)
| vd1303 = sK4
| vd1303 = X0
| vd1303 = sK6
| ron(X0,sK8(sK4,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(resolution,[],[f30168,f16187]) ).
fof(f30194,plain,
( ! [X0] :
( vd684 != vangle(sK6,vd1303,X0)
| ~ rpoint(vd1303)
| vd1303 = sK4
| vd1303 = X0
| vd1303 = sK6
| ron(X0,sK8(sK4,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30185,f550]) ).
fof(f30200,plain,
( ! [X0] :
( rR(sK6,X0,sK4)
| vd1303 = sK4
| ~ ron(X0,sK8(sK4,vd1303))
| ~ rpoint(vd1303)
| sK4 = sK6
| sK6 = X0
| vd684 = vangle(X0,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30175,f550]) ).
fof(f30210,plain,
( ! [X0] :
( vd684 != vangle(sK6,vd1303,X0)
| vd1303 = sK4
| vd1303 = X0
| vd1303 = sK6
| ron(X0,sK8(sK4,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30194,f542]) ).
fof(f30216,plain,
( ! [X0] :
( rR(sK6,X0,sK4)
| vd1303 = sK4
| ~ ron(X0,sK8(sK4,vd1303))
| sK4 = sK6
| sK6 = X0
| vd684 = vangle(X0,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30200,f542]) ).
fof(f30229,plain,
( ! [X0] :
( vd684 != vangle(sK6,vd1303,X0)
| vd1303 = sK4
| vd1303 = X0
| ron(X0,sK8(sK4,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30210,f879]) ).
fof(f30235,plain,
( ! [X0] :
( rR(sK6,X0,sK4)
| vd1303 = sK4
| ~ ron(X0,sK8(sK4,vd1303))
| sK6 = X0
| vd684 = vangle(X0,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30216,f1813]) ).
fof(f30256,plain,
( ! [X0] :
( vd684 != vangle(sK6,vd1303,X0)
| vd1303 = sK4
| vd1303 = X0
| ron(X0,sK8(sK4,vd1303))
| ~ rpoint(X0) )
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30229,f546]) ).
fof(f30265,plain,
( ! [X0] :
( rR(sK6,X0,sK4)
| vd1303 = sK4
| ~ ron(X0,sK8(sK4,vd1303))
| sK6 = X0
| vd684 = vangle(X0,sK6,sK4)
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_1105 ),
inference(forward_subsumption_resolution,[],[f30235,f546]) ).
fof(f30283,definition,
( spl55_1116
<=> ! [X0] :
( vd684 != vangle(sK6,vd1303,X0)
| ~ rpoint(X0)
| ron(X0,sK8(sK4,vd1303))
| vd1303 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl55_1116])],[avatar_definition]) ).
fof(f30284,plain,
( ! [X0] :
( vd684 != vangle(sK6,vd1303,X0)
| ~ rpoint(X0)
| ron(X0,sK8(sK4,vd1303))
| vd1303 = X0 )
| ~ spl55_1116 ),
inference(avatar_component_clause,[],[f30283]) ).
fof(f30285,plain,
( spl55_66
| spl55_1116
| ~ spl55_1105 ),
inference(avatar_split_clause,[],[f30256,f30167,f30283,f2619]) ).
fof(f30303,definition,
( spl55_1121
<=> ! [X0] :
( rR(sK6,X0,sK4)
| ~ rpoint(X0)
| vd684 = vangle(X0,sK6,sK4)
| sK6 = X0
| ~ ron(X0,sK8(sK4,vd1303)) ) ),
introduced(definition,[new_symbols(definition,[spl55_1121])],[avatar_definition]) ).
fof(f30304,plain,
( ! [X0] :
( ~ ron(X0,sK8(sK4,vd1303))
| ~ rpoint(X0)
| vd684 = vangle(X0,sK6,sK4)
| sK6 = X0
| rR(sK6,X0,sK4) )
| ~ spl55_1121 ),
inference(avatar_component_clause,[],[f30303]) ).
fof(f30305,plain,
( spl55_66
| spl55_1121
| spl55_21
| ~ spl55_1105 ),
inference(avatar_split_clause,[],[f30265,f30167,f1812,f30303,f2619]) ).
fof(f30345,plain,
( sK5 = sK6
| ~ rpoint(sK6)
| ron(sK6,sK8(sK5,sK6)) ),
inference(resolution,[],[f29630,f29645]) ).
fof(f30352,plain,
( ~ rpoint(sK6)
| ron(sK6,sK8(sK5,sK6)) ),
inference(forward_subsumption_resolution,[],[f30345,f912]) ).
fof(f30355,plain,
ron(sK6,sK8(sK5,sK6)),
inference(forward_subsumption_resolution,[],[f30352,f546]) ).
fof(f30360,plain,
spl55_1086,
inference(avatar_split_clause,[],[f30355,f29794]) ).
fof(f31729,plain,
( sK7(sK6,vd1303) != sK7(sK6,sK4)
| ~ rpoint(sK4)
| sK4 = sK6
| sK15(sK6,sK4) = sK15(sK6,sK5)
| ~ spl55_55 ),
inference(superposition,[],[f25699,f8220]) ).
fof(f31730,plain,
( ~ rpoint(sK4)
| sK4 = sK6
| sK15(sK6,sK4) = sK15(sK6,sK5)
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f31729,f11890]) ).
fof(f31734,plain,
( sK4 = sK6
| sK15(sK6,sK4) = sK15(sK6,sK5)
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f31730,f550]) ).
fof(f31738,plain,
( sK15(sK6,sK4) = sK15(sK6,sK5)
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f31734,f1813]) ).
fof(f32116,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| ~ rR(X2,X0,X3)
| ron(X2,sK8(sK4,X1))
| ~ ron(X0,sK8(sK4,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| sK4 = X1
| ~ rpoint(X1)
| ~ ron(X3,sK8(sK4,X1)) ),
inference(resolution,[],[f3487,f550]) ).
fof(f32163,plain,
! [X2,X0,X1] :
( ~ rR(X0,X1,sK6)
| ron(X0,sK8(sK4,X2))
| ~ ron(X1,sK8(sK4,X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X2
| ~ rpoint(X2)
| ~ ron(sK6,sK8(sK4,X2)) ),
inference(resolution,[],[f32116,f546]) ).
fof(f32540,plain,
( vd684 = vangle(vd1303,sK6,sK4)
| spl55_21
| ~ spl55_380 ),
inference(superposition,[],[f9825,f9689]) ).
fof(f32771,plain,
( rR(sK6,vd1329,vd1300)
| vd1300 = sK6
| vd1329 = sK6
| vd684 = vangle(vd1329,sK6,vd1300)
| ~ rpoint(sK6) ),
inference(resolution,[],[f3779,f923]) ).
fof(f32772,plain,
( rR(sK6,vd1329,vd1300)
| vd1329 = sK6
| vd684 = vangle(vd1329,sK6,vd1300)
| ~ rpoint(sK6)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f32771,f1808]) ).
fof(f32773,plain,
( rR(sK6,vd1329,vd1300)
| vd684 = vangle(vd1329,sK6,vd1300)
| ~ rpoint(sK6)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f32772,f875]) ).
fof(f32774,plain,
( rR(sK6,vd1329,vd1300)
| vd684 = vangle(vd1329,sK6,vd1300)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f32773,f546]) ).
fof(f33057,plain,
! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| sK15(sK4,X0) = sK15(sK4,sK6)
| vf(sK4,X0) != vf(sK4,sK6)
| sK4 = sK6 ),
inference(resolution,[],[f25237,f550]) ).
fof(f33058,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| sK15(sK5,X0) = sK15(sK5,sK6)
| vf(sK5,X0) != vf(sK5,sK6)
| sK5 = sK6 ),
inference(resolution,[],[f25237,f548]) ).
fof(f33060,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| sK15(sK5,X0) = sK15(sK5,sK6)
| vf(sK5,X0) != vf(sK5,sK6) ),
inference(forward_subsumption_resolution,[],[f33058,f912]) ).
fof(f33061,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| sK15(sK4,X0) = sK15(sK4,sK6)
| vf(sK4,X0) != vf(sK4,sK6) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f33057,f1813]) ).
fof(f33070,plain,
! [X0] :
( vf(sK6,sK4) != vf(sK5,X0)
| ~ rpoint(X0)
| sK5 = X0
| sK15(sK5,X0) = sK15(sK5,sK6) ),
inference(forward_demodulation,[],[f33060,f2009]) ).
fof(f33071,plain,
( ! [X0] :
( vf(sK6,sK4) != vf(sK4,X0)
| ~ rpoint(X0)
| sK4 = X0
| sK15(sK4,X0) = sK15(sK4,sK6) )
| spl55_21 ),
inference(forward_demodulation,[],[f33061,f1990]) ).
fof(f33080,plain,
! [X0] :
( vf(sK5,X0) != sK7(sK6,sK4)
| ~ rpoint(X0)
| sK5 = X0
| sK15(sK5,X0) = sK15(sK5,sK6) ),
inference(forward_demodulation,[],[f33070,f8220]) ).
fof(f33081,plain,
( ! [X0] :
( vf(sK4,X0) != sK7(sK6,sK4)
| ~ rpoint(X0)
| sK4 = X0
| sK15(sK4,X0) = sK15(sK4,sK6) )
| spl55_21 ),
inference(forward_demodulation,[],[f33071,f8220]) ).
fof(f33461,plain,
( vangle(sK4,vd1303,sK5) = vangle(sK5,vd1303,sK4)
| sK4 = sK5
| ~ spl55_378 ),
inference(resolution,[],[f9652,f548]) ).
fof(f33464,plain,
( vangle(sK4,vd1303,sK5) = vangle(sK5,vd1303,sK4)
| ~ spl55_378 ),
inference(forward_subsumption_resolution,[],[f33461,f870]) ).
fof(f34283,plain,
( sK7(sK6,vd1303) != sK7(sK6,vd1303)
| ~ rpoint(vd1303)
| vd1303 = sK6
| sK15(sK6,sK5) = sK15(sK6,vd1303)
| ~ spl55_55 ),
inference(superposition,[],[f25699,f8217]) ).
fof(f34289,plain,
( ~ rpoint(vd1303)
| vd1303 = sK6
| sK15(sK6,sK5) = sK15(sK6,vd1303)
| ~ spl55_55 ),
inference(trivial_inequality_removal,[],[f34283]) ).
fof(f36622,plain,
( spl55_61
| spl55_20
| spl55_22
| ~ spl55_651
| spl55_652 ),
inference(avatar_split_clause,[],[f19777,f16726,f16719,f1818,f1807,f2509]) ).
fof(f36712,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| vd1300 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300)
| ~ rpoint(sK6) )
| ~ spl55_652 ),
inference(superposition,[],[f1098,f17234]) ).
fof(f36713,plain,
( ! [X0] :
( ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| vd1300 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300)
| ~ rpoint(sK6) )
| ~ spl55_652 ),
inference(trivial_inequality_removal,[],[f36712]) ).
fof(f38352,plain,
( vd1303 = sK6
| sK15(sK6,sK5) = sK15(sK6,vd1303)
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f34289,f542]) ).
fof(f38499,plain,
( sK15(sK6,sK5) = sK15(sK6,vd1303)
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f38352,f879]) ).
fof(f38811,plain,
( sK15(sK6,sK4) = sK15(sK6,vd1303)
| spl55_21
| ~ spl55_55 ),
inference(superposition,[],[f31738,f38499]) ).
fof(f38978,plain,
( ron(sK4,sK15(sK6,vd1303))
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_55 ),
inference(superposition,[],[f1225,f38811]) ).
fof(f38997,plain,
( ron(sK4,sK15(sK6,vd1303))
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f38978,f1813]) ).
fof(f39002,plain,
( ron(sK4,sK15(sK6,vd1303))
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f38997,f550]) ).
fof(f39007,plain,
( ron(sK4,sK15(sK6,vd1303))
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f39002,f546]) ).
fof(f39257,plain,
! [X0,X1] :
( X0 = X1
| sK6 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd684 != vangle(sK6,X0,sK6)
| sK6 = X0
| ron(sK6,sK8(X1,X0))
| vd684 != vangle(X1,X0,sK6) ),
inference(resolution,[],[f17530,f546]) ).
fof(f39258,plain,
! [X0,X1] :
( X0 = X1
| sK6 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd684 != vangle(sK6,X0,sK6)
| ron(sK6,sK8(X1,X0))
| vd684 != vangle(X1,X0,sK6) ),
inference(duplicate_literal_removal,[],[f39257]) ).
fof(f39259,plain,
! [X0,X1] :
( ~ rpoint(X0)
| sK6 = X0
| ~ rpoint(X1)
| X0 = X1
| ron(sK6,sK8(X1,X0))
| vd684 != vangle(X1,X0,sK6) ),
inference(forward_subsumption_resolution,[],[f39258,f3275]) ).
fof(f39301,plain,
! [X0] :
( sK5 = sK6
| ~ rpoint(X0)
| sK5 = X0
| ron(sK6,sK8(X0,sK5))
| vd684 != vangle(X0,sK5,sK6) ),
inference(resolution,[],[f39259,f548]) ).
fof(f39303,plain,
! [X0] :
( vd684 != vangle(X0,sK5,sK6)
| sK5 = X0
| ron(sK6,sK8(X0,sK5))
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f39301,f912]) ).
fof(f39783,plain,
! [X0,X1] :
( vf(X0,X1) != vf(X0,sK6)
| sK6 = X0
| ~ rpoint(X1)
| vf(X0,X1) != vf(X0,sK6)
| ron(sK6,sK15(X0,sK6))
| ~ rpoint(X0) ),
inference(resolution,[],[f3810,f546]) ).
fof(f39784,plain,
! [X0,X1] :
( ~ rpoint(X0)
| sK6 = X0
| ~ rpoint(X1)
| ron(sK6,sK15(X0,sK6))
| vf(X0,X1) != vf(X0,sK6) ),
inference(duplicate_literal_removal,[],[f39783]) ).
fof(f39824,plain,
! [X0] :
( sK4 = sK6
| ~ rpoint(X0)
| ron(sK6,sK15(sK4,sK6))
| vf(sK4,X0) != vf(sK4,sK6) ),
inference(resolution,[],[f39784,f550]) ).
fof(f39828,plain,
( ! [X0] :
( ~ rpoint(X0)
| ron(sK6,sK15(sK4,sK6))
| vf(sK4,X0) != vf(sK4,sK6) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f39824,f1813]) ).
fof(f39840,plain,
( ! [X0] :
( vf(sK6,sK4) != vf(sK4,X0)
| ~ rpoint(X0)
| ron(sK6,sK15(sK4,sK6)) )
| spl55_21 ),
inference(forward_demodulation,[],[f39828,f1990]) ).
fof(f39852,plain,
( ! [X0] :
( vf(sK4,X0) != sK7(sK6,sK4)
| ~ rpoint(X0)
| ron(sK6,sK15(sK4,sK6)) )
| spl55_21 ),
inference(forward_demodulation,[],[f39840,f8220]) ).
fof(f39906,definition,
( spl55_1404
<=> ron(sK6,sK15(sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_1404])],[avatar_definition]) ).
fof(f39907,plain,
( ron(sK6,sK15(sK4,sK6))
| ~ spl55_1404 ),
inference(avatar_component_clause,[],[f39906]) ).
fof(f40612,plain,
! [X0] :
( sK6 = X0
| sK4 = X0
| ~ rpoint(X0)
| vd684 != vangle(sK6,X0,sK4)
| rR(X0,sK4,sK6)
| rR(sK4,sK6,X0)
| rR(sK6,sK4,X0)
| sK4 = sK6 ),
inference(resolution,[],[f16311,f546]) ).
fof(f40614,plain,
( ! [X0] :
( vd684 != vangle(sK6,X0,sK4)
| sK4 = X0
| ~ rpoint(X0)
| sK6 = X0
| rR(X0,sK4,sK6)
| rR(sK4,sK6,X0)
| rR(sK6,sK4,X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f40612,f1813]) ).
fof(f40665,plain,
( vd684 != vangle(sK6,vd1303,sK5)
| vd1329 = sK4
| ~ rpoint(vd1329)
| vd1329 = sK6
| rR(vd1329,sK4,sK6)
| rR(sK4,sK6,vd1329)
| rR(sK6,sK4,vd1329)
| spl55_21 ),
inference(superposition,[],[f40614,f861]) ).
fof(f41069,plain,
! [X0] :
( ~ rR(sK6,vd1329,X0)
| ron(X0,vd1295)
| ~ rpoint(X0)
| ~ rpoint(vd1329) ),
inference(resolution,[],[f9913,f612]) ).
fof(f41079,plain,
! [X0] :
( ~ rR(sK6,vd1329,X0)
| ron(X0,vd1295)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f41069,f539]) ).
fof(f42724,plain,
! [X0] :
( vd684 != vangle(sK4,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f3034,f875]) ).
fof(f42738,plain,
( ! [X0] :
( ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| vd1303 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(vd1303)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_383 ),
inference(forward_subsumption_resolution,[],[f21673,f1813]) ).
fof(f42772,plain,
( ! [X0] :
( vd684 != vangle(sK4,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f42724,f1813]) ).
fof(f42786,plain,
( ! [X0] :
( ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(vd1303)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_383 ),
inference(forward_subsumption_resolution,[],[f42738,f879]) ).
fof(f42820,plain,
( ! [X0] :
( vd684 != vangle(sK4,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f42772,f539]) ).
fof(f42834,plain,
( ! [X0] :
( ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_383 ),
inference(forward_subsumption_resolution,[],[f42786,f550]) ).
fof(f42868,plain,
( ! [X0] :
( vd684 != vangle(sK4,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f42820,f550]) ).
fof(f42882,plain,
( ! [X0] :
( ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_383 ),
inference(forward_subsumption_resolution,[],[f42834,f542]) ).
fof(f42937,plain,
( ! [X0] :
( vd684 != vangle(sK4,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f42868,f546]) ).
fof(f42952,definition,
( spl55_1443
<=> ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(vd1300,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_1443])],[avatar_definition]) ).
fof(f42953,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK6,X0)
| ~ ron(vd1300,X0) )
| ~ spl55_1443 ),
inference(avatar_component_clause,[],[f42952]) ).
fof(f42956,plain,
( ! [X0] :
( ~ rR(sK6,vd1303,sK4)
| ~ ron(vd1303,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl55_21
| ~ spl55_383 ),
inference(forward_subsumption_resolution,[],[f42882,f546]) ).
fof(f42958,definition,
( spl55_1444
<=> ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(vd1303,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_1444])],[avatar_definition]) ).
fof(f42959,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK6,X0)
| ~ ron(vd1303,X0) )
| ~ spl55_1444 ),
inference(avatar_component_clause,[],[f42958]) ).
fof(f42960,plain,
( ~ rR(vd1303,sK6,sK4)
| spl55_89 ),
inference(avatar_component_clause,[],[f3028]) ).
fof(f42994,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl55_21 ),
inference(forward_demodulation,[],[f42937,f862]) ).
fof(f42998,plain,
( ~ rR(sK6,vd1303,sK4)
| spl55_384 ),
inference(avatar_component_clause,[],[f9904]) ).
fof(f42999,plain,
( spl55_1444
| ~ spl55_384
| spl55_21
| ~ spl55_383 ),
inference(avatar_split_clause,[],[f42956,f9901,f1812,f9904,f42958]) ).
fof(f43002,plain,
( ~ rR(sK5,vd1303,sK4)
| spl55_955 ),
inference(avatar_component_clause,[],[f26235]) ).
fof(f43020,plain,
( ~ rR(sK4,sK5,sK6)
| spl55_777 ),
inference(avatar_component_clause,[],[f19944]) ).
fof(f43022,plain,
( ~ rR(vd1303,sK5,sK6)
| spl55_860 ),
inference(avatar_component_clause,[],[f22273]) ).
fof(f43024,plain,
( ~ rR(sK5,vd1303,sK6)
| spl55_861 ),
inference(avatar_component_clause,[],[f22277]) ).
fof(f43037,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X1,vd1297)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| ~ ron(X3,vd1295)
| ~ ron(X4,vd1295)
| ~ ron(X2,vd1297)
| rR(X0,X1,X2)
| ~ ron(X0,vd1297)
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| rR(X0,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1982,f619]) ).
fof(f43039,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X3,vd1295)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| rR(X0,X1,X2)
| ~ ron(X4,vd1295)
| ~ ron(X2,sK8(X5,X6))
| ~ ron(X1,sK8(X5,X6))
| ~ ron(X0,sK8(X5,X6))
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| rR(X0,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f1982,f1131]) ).
fof(f43059,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| sK6 = X0
| ~ ron(X1,vd1295)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1297)
| rR(X0,sK6,X2)
| ~ ron(X0,vd1297)
| vangle(X2,X0,X1) = vangle(sK6,X0,X3)
| rR(X0,X3,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(sK6)
| ~ rpoint(X0) ),
inference(resolution,[],[f43037,f922]) ).
fof(f43060,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,vd1297)
| X0 = X2
| X0 = X3
| sK6 = X0
| ~ ron(X1,vd1295)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1297)
| rR(X0,sK6,X2)
| X0 = X1
| vangle(X2,X0,X1) = vangle(sK6,X0,X3)
| rR(X0,X3,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43059,f546]) ).
fof(f43065,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1297)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| rR(X0,X1,X2)
| ~ ron(X4,vd1297)
| ~ ron(X2,vd1297)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| rR(X0,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1981,f619]) ).
fof(f43066,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1297)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| rR(X0,X1,X2)
| ~ ron(X4,vd1297)
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| rR(X0,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1981,f622]) ).
fof(f43067,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X3,vd1297)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| rR(X0,X1,X2)
| ~ ron(X4,vd1297)
| ~ ron(X2,sK8(X5,X6))
| ~ ron(X1,sK8(X5,X6))
| ~ ron(X0,sK8(X5,X6))
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| rR(X0,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f1981,f1131]) ).
fof(f43070,plain,
! [X2,X3,X0,X1] :
( sK4 = X0
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| ~ ron(X2,vd1297)
| ~ ron(X1,vd1295)
| ~ ron(X3,vd1295)
| ~ ron(X0,vd1295)
| vangle(X3,X0,X2) = vangle(X1,X0,sK4)
| rR(X0,X2,sK4)
| ~ rpoint(sK4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f43066,f917]) ).
fof(f43075,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,vd1297)
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| sK4 = X0
| ~ ron(X1,vd1295)
| ~ ron(X3,vd1295)
| ~ ron(X0,vd1295)
| vangle(X3,X0,X2) = vangle(X1,X0,sK4)
| rR(X0,X2,sK4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43070,f550]) ).
fof(f43082,plain,
! [X2,X3,X0,X1] :
( sK6 = X0
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| ~ ron(X2,vd1297)
| ~ ron(X1,vd1297)
| ~ ron(X3,vd1297)
| ~ ron(X0,vd1297)
| vangle(X3,X0,X2) = vangle(X1,X0,sK6)
| rR(X0,X2,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f43065,f922]) ).
fof(f43083,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,vd1297)
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| sK6 = X0
| ~ ron(X1,vd1297)
| ~ ron(X3,vd1297)
| ~ ron(X0,vd1297)
| vangle(X3,X0,X2) = vangle(X1,X0,sK6)
| rR(X0,X2,sK6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43082,f546]) ).
fof(f43090,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X1,sK8(X2,X3))
| ~ ron(X1,vd1295)
| ~ ron(X0,sK8(X2,X3))
| vd1295 = sK8(X2,X3)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f2330,f1131]) ).
fof(f43153,plain,
! [X2,X0,X1] :
( X0 = X1
| sK6 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK4 = X0
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ ron(X0,vd1295)
| vangle(X1,X0,sK4) = vangle(X2,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f43075,f922]) ).
fof(f43155,plain,
! [X2,X0,X1] :
( ~ ron(X1,vd1295)
| sK6 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK4 = X0
| X0 = X1
| ~ ron(X2,vd1295)
| ~ ron(X0,vd1295)
| vangle(X1,X0,sK4) = vangle(X2,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43153,f546]) ).
fof(f43218,plain,
! [X2,X0,X1] :
( X0 = X1
| vd1303 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK6 = X0
| ~ ron(X1,vd1297)
| ~ ron(X2,vd1297)
| ~ ron(X0,vd1297)
| vangle(X1,X0,sK6) = vangle(X2,X0,vd1303)
| rR(X0,vd1303,sK6)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f43083,f915]) ).
fof(f43226,plain,
! [X2,X0,X1] :
( ~ ron(X1,vd1297)
| vd1303 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK6 = X0
| X0 = X1
| ~ ron(X2,vd1297)
| ~ ron(X0,vd1297)
| vangle(X1,X0,sK6) = vangle(X2,X0,vd1303)
| rR(X0,vd1303,sK6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43218,f542]) ).
fof(f43229,plain,
! [X2,X0,X1] :
( vd1303 = X0
| vd1303 = X1
| vd1303 = sK6
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1297)
| rR(vd1303,sK6,X0)
| vd1303 = X2
| vangle(sK6,vd1303,X1) = vangle(X0,vd1303,X2)
| rR(vd1303,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f43060,f915]) ).
fof(f43230,plain,
! [X2,X0,X1] :
( sK4 = X0
| sK4 = X1
| sK4 = sK6
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1297)
| rR(sK4,sK6,X0)
| sK4 = X2
| vangle(sK6,sK4,X1) = vangle(X0,sK4,X2)
| rR(sK4,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK4) ),
inference(resolution,[],[f43060,f917]) ).
fof(f43234,plain,
( ! [X2,X0,X1] :
( sK4 = X0
| sK4 = X1
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1297)
| rR(sK4,sK6,X0)
| sK4 = X2
| vangle(sK6,sK4,X1) = vangle(X0,sK4,X2)
| rR(sK4,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK4) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f43230,f1813]) ).
fof(f43235,plain,
! [X2,X0,X1] :
( vd1303 = X0
| vd1303 = X1
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1297)
| rR(vd1303,sK6,X0)
| vd1303 = X2
| vangle(sK6,vd1303,X1) = vangle(X0,vd1303,X2)
| rR(vd1303,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f43229,f879]) ).
fof(f43238,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,vd1297)
| sK4 = X1
| ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| sK4 = X0
| rR(sK4,sK6,X0)
| sK4 = X2
| vangle(sK6,sK4,X1) = vangle(X0,sK4,X2)
| rR(sK4,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f43234,f550]) ).
fof(f43239,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1295)
| vd1303 = X1
| vd1303 = X0
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1297)
| rR(vd1303,sK6,X0)
| vd1303 = X2
| vangle(sK6,vd1303,X1) = vangle(X0,vd1303,X2)
| rR(vd1303,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f43235,f542]) ).
fof(f43245,plain,
! [X0,X1] :
( sK6 = X0
| X0 = X1
| rR(X0,X1,sK5)
| sK4 = X0
| sK5 = X0
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vangle(X1,X0,sK6) = vangle(sK5,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(sK5)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f43155,f919]) ).
fof(f43250,plain,
! [X0,X1] :
( ~ ron(X1,vd1295)
| X0 = X1
| rR(X0,X1,sK5)
| sK4 = X0
| sK5 = X0
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(X1,X0,sK6) = vangle(sK5,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43245,f548]) ).
fof(f43333,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK5 = X0
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| ~ ron(X2,vd1295)
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X3,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| vangle(X3,X0,X2) = vangle(X1,X0,sK5)
| rR(X0,X2,sK5)
| ~ rpoint(sK5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(resolution,[],[f43039,f919]) ).
fof(f43336,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X2,vd1295)
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| sK5 = X0
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X3,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| vangle(X3,X0,X2) = vangle(X1,X0,sK5)
| rR(X0,X2,sK5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f43333,f548]) ).
fof(f43346,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK4 = X0
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| ~ ron(X2,vd1297)
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X3,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| vangle(X3,X0,X2) = vangle(X1,X0,sK4)
| rR(X0,X2,sK4)
| ~ rpoint(sK4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(resolution,[],[f43067,f917]) ).
fof(f43348,plain,
! [X2,X3,X0,X1,X4,X5] :
( sK6 = X0
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| ~ ron(X2,vd1297)
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X3,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| vangle(X3,X0,X2) = vangle(X1,X0,sK6)
| rR(X0,X2,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(resolution,[],[f43067,f922]) ).
fof(f43349,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X2,vd1297)
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| sK6 = X0
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X3,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| vangle(X3,X0,X2) = vangle(X1,X0,sK6)
| rR(X0,X2,sK6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f43348,f546]) ).
fof(f43351,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X2,vd1297)
| X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X3,X1)
| sK4 = X0
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X3,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| vangle(X3,X0,X2) = vangle(X1,X0,sK4)
| rR(X0,X2,sK4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f43346,f550]) ).
fof(f43358,plain,
( ! [X0,X1] :
( sK4 = X0
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK4 = sK6
| rR(sK4,sK6,sK6)
| sK4 = X1
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| rR(sK4,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X0) )
| spl55_21 ),
inference(resolution,[],[f43238,f922]) ).
fof(f43359,plain,
( ! [X0,X1] :
( sK4 = X0
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| rR(sK4,sK6,sK6)
| sK4 = X1
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| rR(sK4,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f43358,f1813]) ).
fof(f43362,plain,
( ! [X0,X1] :
( sK4 = X0
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| rR(sK4,sK6,sK6)
| sK4 = X1
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| rR(sK4,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f43359,f546]) ).
fof(f43366,definition,
( spl55_1451
<=> ! [X0,X1] :
( sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(sK4,X0,X1)
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| sK4 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl55_1451])],[avatar_definition]) ).
fof(f43367,plain,
( ! [X0,X1] :
( ~ ron(X1,vd1295)
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(sK4,X0,X1)
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ ron(X0,vd1295)
| sK4 = X0
| sK4 = X1 )
| ~ spl55_1451 ),
inference(avatar_component_clause,[],[f43366]) ).
fof(f43368,plain,
( spl55_43
| spl55_1451
| spl55_21 ),
inference(avatar_split_clause,[],[f43362,f1812,f43366,f2117]) ).
fof(f43379,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rpoint(sK6)
| rR(sK4,X0,sK6)
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| sK4 = sK6 )
| ~ spl55_1451 ),
inference(resolution,[],[f43367,f923]) ).
fof(f43380,plain,
( ! [X0] :
( ~ rpoint(X0)
| rR(sK4,X0,sK6)
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| sK4 = sK6 )
| ~ spl55_1451 ),
inference(forward_subsumption_resolution,[],[f43379,f546]) ).
fof(f43385,plain,
( ! [X0] :
( ~ ron(X0,vd1295)
| rR(sK4,X0,sK6)
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0)
| sK4 = X0 )
| spl55_21
| ~ spl55_1451 ),
inference(forward_subsumption_resolution,[],[f43380,f1813]) ).
fof(f43736,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X6,vd1295)
| ~ rpoint(X1)
| rR(X2,X3,X4)
| rR(X2,X5,X6)
| X2 = X4
| X2 = X6
| X2 = X3
| X2 = X5
| ~ ron(X4,sK8(X1,X0))
| ~ ron(X3,sK8(X1,X0))
| ~ rpoint(X0)
| ~ ron(X5,vd1295)
| ~ ron(X2,vd1295)
| vangle(X6,X2,X4) = vangle(X5,X2,X3)
| X0 = X1
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2) ),
inference(resolution,[],[f3104,f622]) ).
fof(f43742,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| rR(X1,X2,X3)
| rR(X1,X4,sK5)
| X1 = X3
| sK5 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,sK8(X0,X5))
| ~ ron(X2,sK8(X0,X5))
| ~ rpoint(X5)
| ~ ron(X4,vd1295)
| ~ ron(X1,vd1295)
| vangle(X4,X1,X2) = vangle(sK5,X1,X3)
| X0 = X5
| ~ rpoint(X3)
| ~ rpoint(sK5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f43736,f919]) ).
fof(f43745,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,vd1295)
| rR(X1,X2,X3)
| rR(X1,X4,sK5)
| X1 = X3
| sK5 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,sK8(X0,X5))
| ~ ron(X2,sK8(X0,X5))
| ~ rpoint(X5)
| ~ rpoint(X0)
| ~ ron(X1,vd1295)
| vangle(X4,X1,X2) = vangle(sK5,X1,X3)
| X0 = X5
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f43742,f548]) ).
fof(f43856,definition,
( spl55_1464
<=> ! [X0] :
( ~ ron(sK4,X0)
| ~ rline(X0)
| ~ ron(sK6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_1464])],[avatar_definition]) ).
fof(f43857,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0) )
| ~ spl55_1464 ),
inference(avatar_component_clause,[],[f43856]) ).
fof(f43890,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK6)
| ~ spl55_77 ),
inference(resolution,[],[f2832,f1731]) ).
fof(f43919,plain,
( ~ rpoint(sK6)
| ~ spl55_77 ),
inference(forward_subsumption_resolution,[],[f43890,f545]) ).
fof(f43923,plain,
( $false
| ~ spl55_77 ),
inference(forward_subsumption_resolution,[],[f43919,f546]) ).
fof(f43924,plain,
~ spl55_77,
inference(avatar_contradiction_clause,[],[f43923]) ).
fof(f43954,plain,
! [X0] :
( sK5 = X0
| rR(X0,sK5,sK5)
| sK4 = X0
| sK5 = X0
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(sK5,X0,sK6) = vangle(sK5,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(sK5)
| ~ rpoint(X0) ),
inference(resolution,[],[f43250,f919]) ).
fof(f43957,plain,
! [X0] :
( sK5 = X0
| rR(X0,sK5,sK5)
| sK4 = X0
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(sK5,X0,sK6) = vangle(sK5,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(sK5)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f43954]) ).
fof(f43960,plain,
! [X0] :
( ~ ron(X0,vd1295)
| rR(X0,sK5,sK5)
| sK4 = X0
| sK6 = X0
| sK5 = X0
| vangle(sK5,X0,sK6) = vangle(sK5,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43957,f548]) ).
fof(f43988,plain,
! [X0,X1] :
( vd1303 = X0
| X0 = X1
| rR(X0,X1,sK4)
| sK6 = X0
| sK4 = X0
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| vangle(X1,X0,vd1303) = vangle(sK4,X0,sK6)
| rR(X0,vd1303,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f43226,f917]) ).
fof(f43995,plain,
! [X0,X1] :
( ~ ron(X1,vd1297)
| X0 = X1
| rR(X0,X1,sK4)
| sK6 = X0
| sK4 = X0
| vd1303 = X0
| ~ ron(X0,vd1297)
| vangle(X1,X0,vd1303) = vangle(sK4,X0,sK6)
| rR(X0,vd1303,sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f43988,f550]) ).
fof(f44588,plain,
( rR(vd1329,sK5,sK5)
| vd1329 = sK4
| vd1329 = sK6
| vd1329 = sK5
| vangle(sK5,vd1329,sK4) = vangle(sK5,vd1329,sK6)
| rR(vd1329,sK6,sK4)
| ~ rpoint(vd1329) ),
inference(resolution,[],[f43960,f612]) ).
fof(f44791,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X4,vd1295)
| ~ rpoint(X1)
| X2 = X3
| ~ ron(X2,sK15(X1,X0))
| ~ ron(X3,sK15(X1,X0))
| ~ rinside(X4,sK15(X1,X0))
| ~ ron(X2,vd1295)
| ~ ron(X3,vd1295)
| ~ rpoint(X0)
| rR(X4,X3,X2)
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(resolution,[],[f9818,f622]) ).
fof(f44792,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rinside(X4,sK15(X1,X0))
| ~ rpoint(X1)
| X2 = X3
| ~ ron(X2,sK15(X1,X0))
| ~ ron(X3,sK15(X1,X0))
| ~ rpoint(X0)
| ~ ron(X2,sK8(X5,X6))
| ~ ron(X3,sK8(X5,X6))
| ~ ron(X4,sK8(X5,X6))
| rR(X4,X3,X2)
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f9818,f1131]) ).
fof(f44800,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| X1 = X2
| ~ ron(X1,sK15(X0,X3))
| ~ ron(X2,sK15(X0,X3))
| ~ rinside(sK5,sK15(X0,X3))
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ rpoint(X3)
| rR(sK5,X2,X1)
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5) ),
inference(resolution,[],[f44791,f919]) ).
fof(f44801,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| X1 = X2
| ~ ron(X1,sK15(X0,X3))
| ~ ron(X2,sK15(X0,X3))
| ~ rinside(sK6,sK15(X0,X3))
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ rpoint(X3)
| rR(sK6,X2,X1)
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK6) ),
inference(resolution,[],[f44791,f923]) ).
fof(f44802,plain,
! [X2,X3,X0,X1] :
( ~ rinside(sK6,sK15(X0,X3))
| X1 = X2
| ~ ron(X1,sK15(X0,X3))
| ~ ron(X2,sK15(X0,X3))
| ~ rpoint(X0)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ rpoint(X3)
| rR(sK6,X2,X1)
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f44801,f546]) ).
fof(f44803,plain,
! [X2,X3,X0,X1] :
( ~ rinside(sK5,sK15(X0,X3))
| X1 = X2
| ~ ron(X1,sK15(X0,X3))
| ~ ron(X2,sK15(X0,X3))
| ~ rpoint(X0)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| ~ rpoint(X3)
| rR(sK5,X2,X1)
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f44800,f548]) ).
fof(f44873,plain,
! [X0] :
( vd1303 = X0
| rR(X0,vd1303,sK4)
| sK6 = X0
| sK4 = X0
| vd1303 = X0
| ~ ron(X0,vd1297)
| vangle(sK4,X0,sK6) = vangle(vd1303,X0,vd1303)
| rR(X0,vd1303,sK6)
| ~ rpoint(vd1303)
| ~ rpoint(X0) ),
inference(resolution,[],[f43995,f915]) ).
fof(f44880,plain,
! [X0] :
( vd1303 = X0
| rR(X0,vd1303,sK4)
| sK6 = X0
| sK4 = X0
| ~ ron(X0,vd1297)
| vangle(sK4,X0,sK6) = vangle(vd1303,X0,vd1303)
| rR(X0,vd1303,sK6)
| ~ rpoint(vd1303)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f44873]) ).
fof(f44884,plain,
! [X0] :
( ~ ron(X0,vd1297)
| rR(X0,vd1303,sK4)
| sK6 = X0
| sK4 = X0
| vd1303 = X0
| vangle(sK4,X0,sK6) = vangle(vd1303,X0,vd1303)
| rR(X0,vd1303,sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f44880,f542]) ).
fof(f45184,plain,
! [X0,X1] :
( vd1303 = X0
| vd1303 = X1
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1297)
| rR(vd1303,sK6,X1)
| vd1303 = sK6
| vangle(X1,vd1303,sK6) = vangle(sK6,vd1303,X0)
| rR(vd1303,X0,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f43239,f923]) ).
fof(f45185,plain,
! [X0,X1] :
( vd1303 = X0
| vd1303 = X1
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1297)
| rR(vd1303,sK6,X1)
| vangle(X1,vd1303,sK6) = vangle(sK6,vd1303,X0)
| rR(vd1303,X0,sK6)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f45184,f879]) ).
fof(f45190,plain,
! [X0,X1] :
( ~ ron(X1,vd1297)
| vd1303 = X1
| ~ ron(X0,vd1295)
| vd1303 = X0
| rR(vd1303,sK6,X1)
| vangle(X1,vd1303,sK6) = vangle(sK6,vd1303,X0)
| rR(vd1303,X0,sK6)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f45185,f546]) ).
fof(f45229,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| sK6 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK5 = X0
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| vangle(X1,X0,sK5) = vangle(X2,X0,sK6)
| rR(X0,sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(resolution,[],[f43336,f923]) ).
fof(f45231,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X3)
| sK6 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK5 = X0
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| vangle(X1,X0,sK5) = vangle(X2,X0,sK6)
| rR(X0,sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f45229,f546]) ).
fof(f45273,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| sK6 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK4 = X0
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| vangle(X1,X0,sK4) = vangle(X2,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(resolution,[],[f43351,f922]) ).
fof(f45276,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X3)
| sK6 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK4 = X0
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| vangle(X1,X0,sK4) = vangle(X2,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f45273,f546]) ).
fof(f45282,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| rR(X0,vd1300,sK5)
| X0 = X2
| sK5 = X0
| X0 = X1
| vd1300 = X0
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X1,sK8(X3,X4))
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ ron(X0,vd1295)
| vangle(vd1300,X0,X1) = vangle(sK5,X0,X2)
| X3 = X4
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(vd1300)
| ~ rpoint(X0) ),
inference(resolution,[],[f43745,f921]) ).
fof(f45292,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X0,vd1295)
| rR(X0,vd1300,sK5)
| X0 = X2
| sK5 = X0
| X0 = X1
| vd1300 = X0
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X1,sK8(X3,X4))
| ~ rpoint(X4)
| ~ rpoint(X3)
| rR(X0,X1,X2)
| vangle(vd1300,X0,X1) = vangle(sK5,X0,X2)
| X3 = X4
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f45282,f545]) ).
fof(f45694,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK8(X1,X2))
| ~ ron(X0,vd1295)
| ~ ron(sK5,sK8(X1,X2))
| vd1295 = sK8(X1,X2)
| sK5 = X0
| ~ rpoint(sK5)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f43090,f919]) ).
fof(f45697,plain,
! [X2,X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X0,sK8(X1,X2))
| ~ ron(sK5,sK8(X1,X2))
| vd1295 = sK8(X1,X2)
| sK5 = X0
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f45694,f548]) ).
fof(f45833,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| sK4 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK6 = X0
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X1)
| ~ rpoint(sK4)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(resolution,[],[f43349,f917]) ).
fof(f45903,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ ron(X0,sK15(sK6,X2))
| ~ ron(X1,sK15(sK6,X2))
| ~ rpoint(sK6)
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| sK6 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK6)
| sK6 = X2 ),
inference(resolution,[],[f44802,f2901]) ).
fof(f45907,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ ron(X0,sK15(sK6,X2))
| ~ ron(X1,sK15(sK6,X2))
| ~ rpoint(sK6)
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| sK6 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f45903]) ).
fof(f45911,plain,
! [X2,X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X0,sK15(sK6,X2))
| ~ ron(X1,sK15(sK6,X2))
| X0 = X1
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| sK6 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f45907,f546]) ).
fof(f45929,plain,
! [X0,X1] :
( ~ ron(sK5,sK15(sK6,X0))
| ~ ron(X1,sK15(sK6,X0))
| sK5 = X1
| ~ ron(X1,vd1295)
| ~ rpoint(X0)
| rR(sK6,X1,sK5)
| sK6 = X0
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(resolution,[],[f45911,f919]) ).
fof(f45932,plain,
! [X0,X1] :
( ~ ron(X1,vd1295)
| ~ ron(X1,sK15(sK6,X0))
| sK5 = X1
| ~ ron(sK5,sK15(sK6,X0))
| ~ rpoint(X0)
| rR(sK6,X1,sK5)
| sK6 = X0
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f45929,f548]) ).
fof(f45972,plain,
! [X0] :
( ~ ron(vd1329,sK15(sK6,X0))
| vd1329 = sK5
| ~ ron(sK5,sK15(sK6,X0))
| ~ rpoint(X0)
| rR(sK6,vd1329,sK5)
| sK6 = X0
| ~ rpoint(vd1329) ),
inference(resolution,[],[f45932,f612]) ).
fof(f48158,plain,
( $false
| spl55_861
| ~ spl55_955 ),
inference(unit_resulting_resolution,[],[f1191,f542,f550,f546,f548,f43024,f1906,f26236]) ).
fof(f48173,plain,
( spl55_861
| ~ spl55_955 ),
inference(avatar_contradiction_clause,[],[f48158]) ).
fof(f48536,plain,
( ~ rpoint(sK5)
| vd684 = vangle(sK5,sK6,sK4)
| sK5 = sK6
| rR(sK6,sK5,sK4)
| ~ spl55_893
| ~ spl55_1121 ),
inference(resolution,[],[f23791,f30304]) ).
fof(f50222,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ ron(X0,sK15(sK5,X2))
| ~ ron(X1,sK15(sK5,X2))
| ~ rpoint(sK5)
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| rR(sK5,X1,X0)
| sK5 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| sK5 = X2 ),
inference(resolution,[],[f44803,f2901]) ).
fof(f50226,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ ron(X0,sK15(sK5,X2))
| ~ ron(X1,sK15(sK5,X2))
| ~ rpoint(sK5)
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| rR(sK5,X1,X0)
| sK5 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f50222]) ).
fof(f50230,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK15(sK5,X2))
| X0 = X1
| ~ ron(X1,sK15(sK5,X2))
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| rR(sK5,X1,X0)
| sK5 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f50226,f548]) ).
fof(f50249,plain,
! [X0,X1] :
( X0 = X1
| ~ ron(X1,sK15(sK5,X0))
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X0)
| rR(sK5,X1,X0)
| sK5 = X0
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK5 = X0
| ~ rpoint(X0)
| ~ rpoint(sK5) ),
inference(resolution,[],[f50230,f1225]) ).
fof(f50254,plain,
! [X0,X1] :
( X0 = X1
| ~ ron(X1,sK15(sK5,X0))
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X0)
| rR(sK5,X1,X0)
| sK5 = X0
| ~ rpoint(X1)
| ~ rpoint(sK5) ),
inference(duplicate_literal_removal,[],[f50249]) ).
fof(f50257,plain,
! [X0,X1] :
( ~ ron(X1,sK15(sK5,X0))
| X0 = X1
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rpoint(X0)
| rR(sK5,X1,X0)
| sK5 = X0
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f50254,f548]) ).
fof(f50297,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(vd1303,X3))
| X0 = X1
| rR(X0,X1,X2)
| sK5 = X0
| sK6 = X0
| ~ ron(X1,sK8(vd1303,X3))
| ~ ron(X0,sK8(vd1303,X3))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK5)
| rR(X0,sK6,sK5)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X3
| ~ rpoint(X3)
| X0 = X2 ),
inference(resolution,[],[f45231,f542]) ).
fof(f50356,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(vd1303,X3))
| X0 = X1
| rR(X0,X1,X2)
| sK4 = X0
| sK6 = X0
| ~ ron(X1,sK8(vd1303,X3))
| ~ ron(X0,sK8(vd1303,X3))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X3
| ~ rpoint(X3)
| X0 = X2 ),
inference(resolution,[],[f45276,f542]) ).
fof(f50801,plain,
! [X0,X1] :
( ~ ron(sK6,sK8(X0,X1))
| ~ ron(sK5,sK8(X0,X1))
| vd1295 = sK8(X0,X1)
| sK5 = sK6
| ~ rpoint(sK6)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f45697,f923]) ).
fof(f50803,plain,
! [X0,X1] :
( ~ ron(sK6,sK8(X0,X1))
| ~ ron(sK5,sK8(X0,X1))
| vd1295 = sK8(X0,X1)
| ~ rpoint(sK6)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f50801,f912]) ).
fof(f50807,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ ron(sK5,sK8(X0,X1))
| vd1295 = sK8(X0,X1)
| X0 = X1
| ~ rpoint(X1)
| ~ ron(sK6,sK8(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f50803,f546]) ).
fof(f50826,plain,
! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| vd1295 = sK8(sK4,X0)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) ),
inference(resolution,[],[f50807,f550]) ).
fof(f50876,plain,
( vd1295 = sK8(sK4,sK6)
| sK4 = sK6
| ~ rpoint(sK6)
| ~ ron(sK6,sK8(sK4,sK6))
| spl55_21
| ~ spl55_779 ),
inference(resolution,[],[f50826,f22809]) ).
fof(f50877,plain,
( vd1295 = sK8(sK4,sK5)
| sK4 = sK5
| ~ rpoint(sK5)
| ~ ron(sK6,sK8(sK4,sK5))
| sK4 = sK5
| ~ rpoint(sK5)
| ~ rpoint(sK4) ),
inference(resolution,[],[f50826,f1127]) ).
fof(f50880,plain,
( vd1295 = sK8(sK4,sK5)
| sK4 = sK5
| ~ rpoint(sK5)
| ~ ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK4) ),
inference(duplicate_literal_removal,[],[f50877]) ).
fof(f50882,plain,
( vd1295 = sK8(sK4,sK5)
| ~ rpoint(sK5)
| ~ ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f50880,f870]) ).
fof(f50883,plain,
( vd1295 = sK8(sK4,sK6)
| ~ rpoint(sK6)
| ~ ron(sK6,sK8(sK4,sK6))
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f50876,f1813]) ).
fof(f50887,plain,
( vd1295 = sK8(sK4,sK5)
| ~ ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f50882,f548]) ).
fof(f50888,plain,
( vd1295 = sK8(sK4,sK6)
| ~ ron(sK6,sK8(sK4,sK6))
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f50883,f546]) ).
fof(f50892,plain,
( vd1295 = sK8(sK4,sK6)
| spl55_21
| ~ spl55_779 ),
inference(forward_subsumption_resolution,[],[f50888,f23856]) ).
fof(f53425,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1303)
| ~ spl55_54 ),
inference(resolution,[],[f2300,f1731]) ).
fof(f53448,plain,
( ~ rpoint(vd1303)
| ~ spl55_54 ),
inference(forward_subsumption_resolution,[],[f53425,f546]) ).
fof(f53457,plain,
( $false
| ~ spl55_54 ),
inference(forward_subsumption_resolution,[],[f53448,f542]) ).
fof(f53458,plain,
~ spl55_54,
inference(avatar_contradiction_clause,[],[f53457]) ).
fof(f54902,plain,
! [X0,X1] :
( vf(X0,X1) != vf(X0,sK5)
| sK5 = X0
| ~ rpoint(X1)
| vf(X0,X1) != vf(X0,sK5)
| ron(sK5,sK15(X0,sK5))
| ~ rpoint(X0) ),
inference(resolution,[],[f3809,f548]) ).
fof(f54904,plain,
! [X0,X1] :
( ~ rpoint(X0)
| sK5 = X0
| ~ rpoint(X1)
| ron(sK5,sK15(X0,sK5))
| vf(X0,X1) != vf(X0,sK5) ),
inference(duplicate_literal_removal,[],[f54902]) ).
fof(f54955,plain,
! [X0] :
( sK5 = sK6
| ~ rpoint(X0)
| ron(sK5,sK15(sK6,sK5))
| vf(sK6,sK5) != vf(sK6,X0) ),
inference(resolution,[],[f54904,f546]) ).
fof(f54956,plain,
! [X0] :
( ~ rpoint(X0)
| ron(sK5,sK15(sK6,sK5))
| vf(sK6,sK5) != vf(sK6,X0) ),
inference(forward_subsumption_resolution,[],[f54955,f912]) ).
fof(f56176,plain,
( rR(sK6,vd1300,vd1329)
| vd1329 = sK6
| vd1300 = sK6
| vd684 = vangle(vd1300,sK6,vd1329)
| ~ rpoint(sK6) ),
inference(resolution,[],[f2370,f923]) ).
fof(f56177,plain,
( rR(sK6,vd1300,vd1329)
| vd1300 = sK6
| vd684 = vangle(vd1300,sK6,vd1329)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f56176,f875]) ).
fof(f56180,plain,
( rR(sK6,vd1300,vd1329)
| vd684 = vangle(vd1300,sK6,vd1329)
| ~ rpoint(sK6)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f56177,f1808]) ).
fof(f56183,plain,
( rR(sK6,vd1300,vd1329)
| vd684 = vangle(vd1300,sK6,vd1329)
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f56180,f546]) ).
fof(f61436,plain,
! [X0] :
( vd1329 = sK6
| ~ rpoint(X0)
| vd1329 = X0
| vangle(X0,sK6,vd1329) = vangle(vd1329,sK6,X0) ),
inference(resolution,[],[f3041,f546]) ).
fof(f61437,plain,
! [X0] :
( ~ rpoint(X0)
| vd1329 = X0
| vangle(X0,sK6,vd1329) = vangle(vd1329,sK6,X0) ),
inference(forward_subsumption_resolution,[],[f61436,f875]) ).
fof(f64428,plain,
( vd684 != vd684
| ~ rpoint(sK5)
| ron(sK5,sK8(sK4,vd1303))
| vd1303 = sK5
| ~ spl55_842
| ~ spl55_1116 ),
inference(superposition,[],[f30284,f21338]) ).
fof(f64431,plain,
( ~ rpoint(sK5)
| ron(sK5,sK8(sK4,vd1303))
| vd1303 = sK5
| ~ spl55_842
| ~ spl55_1116 ),
inference(trivial_inequality_removal,[],[f64428]) ).
fof(f75357,plain,
! [X2,X3,X0,X1] :
( rR(sK6,vd1300,sK5)
| sK6 = X0
| sK5 = sK6
| sK6 = X1
| vd1300 = sK6
| ~ ron(X0,sK8(X2,X3))
| ~ ron(X1,sK8(X2,X3))
| ~ rpoint(X3)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,X1)
| X2 = X3
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6) ),
inference(resolution,[],[f45292,f923]) ).
fof(f76431,plain,
( ~ rR(sK5,sK4,sK6)
| spl55_778 ),
inference(avatar_component_clause,[],[f19948]) ).
fof(f76791,plain,
! [X2,X0,X1] :
( X0 = X1
| rR(X0,X1,X2)
| sK4 = X0
| sK6 = X0
| ~ ron(X1,sK8(vd1303,X2))
| ~ ron(X0,sK8(vd1303,X2))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X2
| ~ rpoint(X2)
| X0 = X2
| vd1303 = X2
| ~ rpoint(X2)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f50356,f1127]) ).
fof(f76815,plain,
! [X2,X0,X1] :
( X0 = X1
| rR(X0,X1,X2)
| sK4 = X0
| sK6 = X0
| ~ ron(X1,sK8(vd1303,X2))
| ~ ron(X0,sK8(vd1303,X2))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X2
| X0 = X2
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f76791]) ).
fof(f76831,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(vd1303,X2))
| rR(X0,X1,X2)
| sK4 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X2))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK4)
| rR(X0,sK6,sK4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X2
| X0 = X2 ),
inference(forward_subsumption_resolution,[],[f76815,f542]) ).
fof(f76869,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| sK4 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X1))
| vangle(X1,X0,sK4) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1
| X0 = X1
| vd1303 = X1
| ~ rpoint(X1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f76831,f1127]) ).
fof(f76898,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| sK4 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X1))
| vangle(X1,X0,sK4) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f76869]) ).
fof(f76914,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| sK4 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X1))
| vangle(X1,X0,sK4) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1 ),
inference(forward_subsumption_resolution,[],[f76898,f542]) ).
fof(f76928,plain,
! [X0,X1] :
( ~ ron(X0,sK8(vd1303,X1))
| sK6 = X0
| X0 = X1
| sK4 = X0
| vangle(X1,X0,sK4) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1 ),
inference(forward_subsumption_resolution,[],[f76914,f1731]) ).
fof(f76955,plain,
! [X0] :
( vd1303 = sK6
| vd1303 = X0
| vd1303 = sK4
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6)
| rR(vd1303,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| vd1303 = X0
| vd1303 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f76928,f1129]) ).
fof(f76977,plain,
! [X0] :
( vd1303 = sK6
| vd1303 = X0
| vd1303 = sK4
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6)
| rR(vd1303,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f76955]) ).
fof(f76987,plain,
! [X0] :
( vd1303 = X0
| vd1303 = sK4
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6)
| rR(vd1303,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f76977,f879]) ).
fof(f76996,plain,
( ! [X0] :
( vd1303 = X0
| vd1303 = sK4
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6)
| ~ rpoint(X0)
| ~ rpoint(vd1303) )
| spl55_89 ),
inference(forward_subsumption_resolution,[],[f76987,f42960]) ).
fof(f77004,plain,
( ! [X0] :
( vd1303 = X0
| vd1303 = sK4
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6)
| ~ rpoint(X0) )
| spl55_89 ),
inference(forward_subsumption_resolution,[],[f76996,f542]) ).
fof(f77013,definition,
( spl55_2626
<=> ! [X0] :
( vd1303 = X0
| ~ rpoint(X0)
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl55_2626])],[avatar_definition]) ).
fof(f77014,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1303 = X0
| vangle(X0,vd1303,sK4) = vangle(X0,vd1303,sK6) )
| ~ spl55_2626 ),
inference(avatar_component_clause,[],[f77013]) ).
fof(f77015,plain,
( spl55_66
| spl55_2626
| spl55_89 ),
inference(avatar_split_clause,[],[f77004,f3028,f77013,f2619]) ).
fof(f77050,plain,
( vd1303 = sK5
| vangle(sK5,vd1303,sK4) = vangle(sK5,vd1303,sK6)
| ~ spl55_2626 ),
inference(resolution,[],[f77014,f548]) ).
fof(f80390,definition,
( spl55_2919
<=> sK15(sK4,sK5) = sK15(sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_2919])],[avatar_definition]) ).
fof(f80391,plain,
( sK15(sK4,sK5) = sK15(sK4,sK6)
| ~ spl55_2919 ),
inference(avatar_component_clause,[],[f80390]) ).
fof(f84113,plain,
( vf(sK6,sK4) = vf(sK6,sK6)
| ~ spl55_231 ),
inference(superposition,[],[f4118,f5967]) ).
fof(f84120,plain,
( vd684 = vf(sK6,sK4)
| ~ spl55_231 ),
inference(forward_demodulation,[],[f84113,f2074]) ).
fof(f84121,plain,
( $false
| ~ spl55_231 ),
inference(forward_subsumption_resolution,[],[f84120,f2002]) ).
fof(f84122,plain,
~ spl55_231,
inference(avatar_contradiction_clause,[],[f84121]) ).
fof(f84402,definition,
( spl55_3248
<=> sK15(sK5,sK6) = sK15(sK5,vskolem1052(sK5,sK5,sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_3248])],[avatar_definition]) ).
fof(f84403,plain,
( sK15(sK5,sK6) = sK15(sK5,vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_3248 ),
inference(avatar_component_clause,[],[f84402]) ).
fof(f84516,definition,
( spl55_3273
<=> vd684 = vangle(sK5,sK6,vskolem1052(sK5,sK5,sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_3273])],[avatar_definition]) ).
fof(f84517,plain,
( vd684 = vangle(sK5,sK6,vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_3273 ),
inference(avatar_component_clause,[],[f84516]) ).
fof(f85560,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK15(sK5,sK6))
| sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rpoint(sK5)
| ~ spl55_3248 ),
inference(superposition,[],[f1225,f84403]) ).
fof(f85587,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK15(sK5,sK6))
| sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ rpoint(sK5)
| ~ spl55_3248 ),
inference(forward_subsumption_resolution,[],[f85560,f7687]) ).
fof(f85593,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK15(sK5,sK6))
| sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_3248 ),
inference(forward_subsumption_resolution,[],[f85587,f548]) ).
fof(f85595,definition,
( spl55_3297
<=> ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295) ),
introduced(definition,[new_symbols(definition,[spl55_3297])],[avatar_definition]) ).
fof(f85596,plain,
( ~ ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| spl55_3297 ),
inference(avatar_component_clause,[],[f85595]) ).
fof(f85606,definition,
( spl55_3299
<=> ron(vskolem1052(sK5,sK5,sK6,sK6),sK15(sK5,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_3299])],[avatar_definition]) ).
fof(f85607,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK15(sK5,sK6))
| ~ spl55_3299 ),
inference(avatar_component_clause,[],[f85606]) ).
fof(f85608,plain,
( spl55_420
| spl55_3299
| ~ spl55_3248 ),
inference(avatar_split_clause,[],[f85593,f84402,f85606,f10873]) ).
fof(f85801,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ ron(sK6,vd1295)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| ~ rpoint(sK6)
| rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6)
| sK5 = sK6
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_3299 ),
inference(resolution,[],[f85607,f50257]) ).
fof(f86800,plain,
( vd684 != vd684
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ron(vskolem1052(sK5,sK5,sK6,sK6),sK8(sK4,sK6))
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| spl55_21
| ~ spl55_779
| ~ spl55_3273 ),
inference(superposition,[],[f22925,f84517]) ).
fof(f86811,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ron(vskolem1052(sK5,sK5,sK6,sK6),sK8(sK4,sK6))
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| spl55_21
| ~ spl55_779
| ~ spl55_3273 ),
inference(trivial_inequality_removal,[],[f86800]) ).
fof(f86819,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ron(vskolem1052(sK5,sK5,sK6,sK6),sK8(sK4,sK6))
| spl55_21
| ~ spl55_779
| ~ spl55_3273 ),
inference(forward_subsumption_resolution,[],[f86811,f7687]) ).
fof(f86836,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| spl55_21
| ~ spl55_779
| ~ spl55_3273 ),
inference(forward_demodulation,[],[f86819,f50892]) ).
fof(f86845,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| spl55_21
| ~ spl55_779
| ~ spl55_3273
| spl55_3297 ),
inference(forward_subsumption_resolution,[],[f86836,f85596]) ).
fof(f86849,plain,
( spl55_231
| spl55_21
| ~ spl55_779
| ~ spl55_3273
| spl55_3297 ),
inference(avatar_split_clause,[],[f86845,f85595,f84516,f19952,f1812,f5966]) ).
fof(f88089,plain,
( ~ ron(sK4,vd1297)
| ~ ron(sK6,vd1297)
| ~ spl55_1464 ),
inference(resolution,[],[f43857,f619]) ).
fof(f88095,plain,
( ~ ron(sK6,vd1297)
| ~ spl55_1464 ),
inference(forward_subsumption_resolution,[],[f88089,f917]) ).
fof(f88098,plain,
( $false
| ~ spl55_1464 ),
inference(forward_subsumption_resolution,[],[f88095,f922]) ).
fof(f88099,plain,
~ spl55_1464,
inference(avatar_contradiction_clause,[],[f88098]) ).
fof(f90048,plain,
( ron(sK5,sK15(sK4,sK6))
| sK4 = sK5
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ spl55_2919 ),
inference(superposition,[],[f1225,f80391]) ).
fof(f90075,plain,
( ron(sK5,sK15(sK4,sK6))
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ spl55_2919 ),
inference(forward_subsumption_resolution,[],[f90048,f870]) ).
fof(f91734,plain,
! [X2,X0,X1] :
( X0 = X1
| rR(X0,X1,X2)
| sK5 = X0
| sK6 = X0
| ~ ron(X1,sK8(vd1303,X2))
| ~ ron(X0,sK8(vd1303,X2))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK5)
| rR(X0,sK6,sK5)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X2
| ~ rpoint(X2)
| X0 = X2
| vd1303 = X2
| ~ rpoint(X2)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f50297,f1127]) ).
fof(f91758,plain,
! [X2,X0,X1] :
( X0 = X1
| rR(X0,X1,X2)
| sK5 = X0
| sK6 = X0
| ~ ron(X1,sK8(vd1303,X2))
| ~ ron(X0,sK8(vd1303,X2))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK5)
| rR(X0,sK6,sK5)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X2
| X0 = X2
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f91734]) ).
fof(f91774,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(vd1303,X2))
| rR(X0,X1,X2)
| sK5 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X2))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK5)
| rR(X0,sK6,sK5)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X2
| X0 = X2 ),
inference(forward_subsumption_resolution,[],[f91758,f542]) ).
fof(f91812,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| sK5 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X1))
| vangle(X1,X0,sK5) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1
| X0 = X1
| vd1303 = X1
| ~ rpoint(X1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f91774,f1127]) ).
fof(f91841,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| sK5 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X1))
| vangle(X1,X0,sK5) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f91812]) ).
fof(f91857,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| sK5 = X0
| sK6 = X0
| X0 = X1
| ~ ron(X0,sK8(vd1303,X1))
| vangle(X1,X0,sK5) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1 ),
inference(forward_subsumption_resolution,[],[f91841,f542]) ).
fof(f91871,plain,
! [X0,X1] :
( ~ ron(X0,sK8(vd1303,X1))
| sK6 = X0
| X0 = X1
| sK5 = X0
| vangle(X1,X0,sK5) = vangle(X1,X0,sK6)
| rR(X0,sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = X1 ),
inference(forward_subsumption_resolution,[],[f91857,f1731]) ).
fof(f91932,plain,
! [X0] :
( vd1303 = sK6
| vd1303 = X0
| vd1303 = sK5
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6)
| rR(vd1303,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| vd1303 = X0
| vd1303 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f91871,f1129]) ).
fof(f91955,plain,
! [X0] :
( vd1303 = sK6
| vd1303 = X0
| vd1303 = sK5
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6)
| rR(vd1303,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(duplicate_literal_removal,[],[f91932]) ).
fof(f91965,plain,
! [X0] :
( vd1303 = X0
| vd1303 = sK5
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6)
| rR(vd1303,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f91955,f879]) ).
fof(f113213,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| X1 = X2
| ~ ron(X1,sK15(X0,X3))
| ~ ron(X2,sK15(X0,X3))
| ~ rpoint(X3)
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X2,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| rR(X0,X2,X1)
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X0 = X3 ),
inference(resolution,[],[f44792,f2901]) ).
fof(f113232,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X4)
| X1 = X2
| ~ ron(X1,sK15(X0,X3))
| ~ ron(X2,sK15(X0,X3))
| ~ rpoint(X3)
| ~ ron(X1,sK8(X4,X5))
| ~ ron(X2,sK8(X4,X5))
| ~ ron(X0,sK8(X4,X5))
| rR(X0,X2,X1)
| X0 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f113213]) ).
fof(f113296,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X1,sK8(sK4,X4))
| ~ ron(X0,sK15(X2,X3))
| ~ ron(X1,sK15(X2,X3))
| ~ rpoint(X3)
| ~ ron(X0,sK8(sK4,X4))
| X0 = X1
| ~ ron(X2,sK8(sK4,X4))
| rR(X2,X1,X0)
| X2 = X3
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X4
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(resolution,[],[f113232,f550]) ).
fof(f113369,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK15(X1,X2))
| ~ ron(X3,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X3))
| X0 = X3
| ~ ron(X1,sK8(sK4,X3))
| rR(X1,X3,X0)
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X3)
| sK4 = X3
| ~ rpoint(X3)
| ~ rpoint(X1)
| sK4 = X3
| ~ rpoint(X3)
| ~ rpoint(sK4) ),
inference(resolution,[],[f113296,f1127]) ).
fof(f113371,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK15(X1,X2))
| ~ ron(sK4,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X3))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X3))
| rR(X1,sK4,X0)
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(sK4)
| sK4 = X3
| ~ rpoint(X3)
| ~ rpoint(X1)
| sK4 = X3
| ~ rpoint(X3)
| ~ rpoint(sK4) ),
inference(resolution,[],[f113296,f1129]) ).
fof(f113398,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK15(X1,X2))
| ~ ron(sK4,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X3))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X3))
| rR(X1,sK4,X0)
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(sK4)
| sK4 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f113371]) ).
fof(f113400,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK15(X1,X2))
| ~ ron(X3,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X3))
| X0 = X3
| ~ ron(X1,sK8(sK4,X3))
| rR(X1,X3,X0)
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X3)
| sK4 = X3
| ~ rpoint(X1)
| ~ rpoint(sK4) ),
inference(duplicate_literal_removal,[],[f113369]) ).
fof(f113423,plain,
! [X2,X3,X0,X1] :
( ~ ron(sK4,sK15(X1,X2))
| ~ ron(X0,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK8(sK4,X3))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X3))
| rR(X1,sK4,X0)
| X1 = X2
| ~ rpoint(X0)
| sK4 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f113398,f550]) ).
fof(f113425,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(sK4,X3))
| ~ ron(X3,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK15(X1,X2))
| X0 = X3
| ~ ron(X1,sK8(sK4,X3))
| rR(X1,X3,X0)
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X3)
| sK4 = X3
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f113400,f550]) ).
fof(f113511,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK15(X1,sK4))
| ~ rpoint(sK4)
| ~ ron(X0,sK8(sK4,X2))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X2))
| rR(X1,sK4,X0)
| sK4 = X1
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| ~ rpoint(X1)
| sK4 = X1
| ~ rpoint(sK4)
| ~ rpoint(X1) ),
inference(resolution,[],[f113423,f1225]) ).
fof(f113524,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK15(X1,sK4))
| ~ rpoint(sK4)
| ~ ron(X0,sK8(sK4,X2))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X2))
| rR(X1,sK4,X0)
| sK4 = X1
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f113511]) ).
fof(f113533,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK15(X1,sK4))
| ~ ron(X0,sK8(sK4,X2))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X2))
| rR(X1,sK4,X0)
| sK4 = X1
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f113524,f550]) ).
fof(f113594,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(sK4,sK15(X1,X2))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| rR(X1,X0,sK4)
| X1 = X2
| ~ rpoint(sK4)
| ~ rpoint(X0)
| sK4 = X0
| ~ rpoint(X1)
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(resolution,[],[f113425,f1129]) ).
fof(f113623,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(sK4,sK15(X1,X2))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| rR(X1,X0,sK4)
| X1 = X2
| ~ rpoint(sK4)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f113594]) ).
fof(f113641,plain,
! [X2,X0,X1] :
( ~ ron(sK4,sK15(X1,X2))
| ~ rpoint(X2)
| ~ ron(X0,sK15(X1,X2))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| rR(X1,X0,sK4)
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f113623,f550]) ).
fof(f113717,plain,
( ! [X0] :
( ~ rpoint(vd1303)
| ~ ron(X0,sK15(sK6,vd1303))
| sK4 = X0
| ~ ron(sK6,sK8(sK4,X0))
| rR(sK6,X0,sK4)
| vd1303 = sK6
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_55 ),
inference(resolution,[],[f113641,f39007]) ).
fof(f113720,plain,
! [X0,X1] :
( ~ rpoint(sK4)
| ~ ron(X0,sK15(X1,sK4))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| rR(X1,X0,sK4)
| sK4 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK4 = X1
| ~ rpoint(sK4)
| ~ rpoint(X1) ),
inference(resolution,[],[f113641,f1225]) ).
fof(f113733,plain,
! [X0,X1] :
( ~ rpoint(sK4)
| ~ ron(X0,sK15(X1,sK4))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| rR(X1,X0,sK4)
| sK4 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f113720]) ).
fof(f113740,plain,
! [X0,X1] :
( ~ ron(X0,sK15(X1,sK4))
| sK4 = X0
| ~ ron(X1,sK8(sK4,X0))
| rR(X1,X0,sK4)
| sK4 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f113733,f550]) ).
fof(f113743,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,vd1303))
| sK4 = X0
| ~ ron(sK6,sK8(sK4,X0))
| rR(sK6,X0,sK4)
| vd1303 = sK6
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f113717,f542]) ).
fof(f113749,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,vd1303))
| sK4 = X0
| ~ ron(sK6,sK8(sK4,X0))
| rR(sK6,X0,sK4)
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f113743,f879]) ).
fof(f113755,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,vd1303))
| sK4 = X0
| ~ ron(sK6,sK8(sK4,X0))
| rR(sK6,X0,sK4)
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_55 ),
inference(forward_subsumption_resolution,[],[f113749,f546]) ).
fof(f113758,definition,
( spl55_5400
<=> ! [X0] :
( ~ ron(X0,sK15(sK6,vd1303))
| ~ rpoint(X0)
| rR(sK6,X0,sK4)
| ~ ron(sK6,sK8(sK4,X0))
| sK4 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl55_5400])],[avatar_definition]) ).
fof(f113759,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,vd1303))
| ~ rpoint(X0)
| rR(sK6,X0,sK4)
| ~ ron(sK6,sK8(sK4,X0))
| sK4 = X0 )
| ~ spl55_5400 ),
inference(avatar_component_clause,[],[f113758]) ).
fof(f113764,plain,
( spl55_5400
| spl55_21
| ~ spl55_55 ),
inference(avatar_split_clause,[],[f113755,f2404,f1812,f113758]) ).
fof(f113778,plain,
( ~ rpoint(vd1303)
| rR(sK6,vd1303,sK4)
| ~ ron(sK6,sK8(sK4,vd1303))
| vd1303 = sK4
| vd1303 = sK6
| ~ rpoint(vd1303)
| ~ rpoint(sK6)
| ~ spl55_5400 ),
inference(resolution,[],[f113759,f1225]) ).
fof(f113785,plain,
( ~ rpoint(vd1303)
| rR(sK6,vd1303,sK4)
| ~ ron(sK6,sK8(sK4,vd1303))
| vd1303 = sK4
| vd1303 = sK6
| ~ rpoint(sK6)
| ~ spl55_5400 ),
inference(duplicate_literal_removal,[],[f113778]) ).
fof(f113789,plain,
( rR(sK6,vd1303,sK4)
| ~ ron(sK6,sK8(sK4,vd1303))
| vd1303 = sK4
| vd1303 = sK6
| ~ rpoint(sK6)
| ~ spl55_5400 ),
inference(forward_subsumption_resolution,[],[f113785,f542]) ).
fof(f113799,plain,
( ~ ron(sK6,sK8(sK4,vd1303))
| vd1303 = sK4
| vd1303 = sK6
| ~ rpoint(sK6)
| spl55_384
| ~ spl55_5400 ),
inference(forward_subsumption_resolution,[],[f113789,f42998]) ).
fof(f113802,plain,
( vd1303 = sK4
| vd1303 = sK6
| ~ rpoint(sK6)
| spl55_384
| ~ spl55_1105
| ~ spl55_5400 ),
inference(forward_subsumption_resolution,[],[f113799,f30168]) ).
fof(f113805,plain,
( vd1303 = sK4
| ~ rpoint(sK6)
| spl55_384
| ~ spl55_1105
| ~ spl55_5400 ),
inference(forward_subsumption_resolution,[],[f113802,f879]) ).
fof(f113806,plain,
( vd1303 = sK4
| spl55_384
| ~ spl55_1105
| ~ spl55_5400 ),
inference(forward_subsumption_resolution,[],[f113805,f546]) ).
fof(f113807,plain,
( spl55_66
| spl55_384
| ~ spl55_1105
| ~ spl55_5400 ),
inference(avatar_split_clause,[],[f113806,f113758,f30167,f9904,f2619]) ).
fof(f113973,plain,
( rR(sK6,sK5,vd1303)
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f24081,f542]) ).
fof(f114030,plain,
( ! [X0] :
( ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f2898,f21300]) ).
fof(f114175,plain,
( spl55_858
| ~ spl55_775 ),
inference(avatar_split_clause,[],[f113973,f19938,f22267]) ).
fof(f114270,definition,
( spl55_5414
<=> ! [X0] :
( vd1303 = X0
| ~ rpoint(X0)
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl55_5414])],[avatar_definition]) ).
fof(f114271,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1303 = X0
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6) )
| ~ spl55_5414 ),
inference(avatar_component_clause,[],[f114270]) ).
fof(f114554,plain,
( ! [X0] :
( ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| vd1300 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300)
| ~ rpoint(sK6) )
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f36713,f912]) ).
fof(f114577,plain,
! [X2,X3,X0,X1] :
( rR(sK6,vd1300,sK5)
| sK6 = X0
| sK6 = X1
| vd1300 = sK6
| ~ ron(X0,sK8(X2,X3))
| ~ ron(X1,sK8(X2,X3))
| ~ rpoint(X3)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,X1)
| X2 = X3
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f75357,f912]) ).
fof(f114593,plain,
( ! [X0] :
( ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f114030,f912]) ).
fof(f114595,plain,
( ~ rR(sK6,sK4,sK5)
| spl55_843 ),
inference(avatar_component_clause,[],[f21341]) ).
fof(f114756,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X3)
| sK4 = X0
| X0 = X2
| rR(X0,X2,X1)
| sK6 = X0
| ~ ron(X1,sK8(X3,X4))
| ~ ron(X2,sK8(X3,X4))
| ~ ron(X0,sK8(X3,X4))
| vangle(X1,X0,sK6) = vangle(X2,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f45833,f550]) ).
fof(f114778,plain,
( vd684 = vangle(sK5,sK6,sK4)
| sK5 = sK6
| rR(sK6,sK5,sK4)
| ~ spl55_893
| ~ spl55_1121 ),
inference(forward_subsumption_resolution,[],[f48536,f548]) ).
fof(f114914,plain,
( ! [X0] :
( ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300)
| ~ rpoint(sK6) )
| spl55_20
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f114554,f1808]) ).
fof(f114931,plain,
( ! [X2,X3,X0,X1] :
( rR(sK6,vd1300,sK5)
| sK6 = X0
| sK6 = X1
| ~ ron(X0,sK8(X2,X3))
| ~ ron(X1,sK8(X2,X3))
| ~ rpoint(X3)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,X1)
| X2 = X3
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK6) )
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f114577,f1808]) ).
fof(f114946,plain,
( ! [X0] :
( ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f114593,f1813]) ).
fof(f115072,plain,
( vd684 = vangle(sK5,sK6,sK4)
| rR(sK6,sK5,sK4)
| ~ spl55_893
| ~ spl55_1121 ),
inference(forward_subsumption_resolution,[],[f114778,f912]) ).
fof(f115183,plain,
( ! [X0] :
( ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK6) )
| spl55_20
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f114914,f548]) ).
fof(f115203,plain,
( ! [X2,X3,X0,X1] :
( rR(sK6,vd1300,sK5)
| sK6 = X0
| sK6 = X1
| ~ ron(X0,sK8(X2,X3))
| ~ ron(X1,sK8(X2,X3))
| ~ rpoint(X3)
| ~ rpoint(X2)
| rR(sK6,X1,X0)
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,X1)
| X2 = X3
| ~ rpoint(X0)
| ~ rpoint(X1) )
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f114931,f546]) ).
fof(f115216,plain,
( ! [X0] :
( ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f114946,f548]) ).
fof(f115307,plain,
( vd684 = vangle(vd1303,sK6,sK5)
| rR(sK6,sK5,sK4)
| spl55_21
| ~ spl55_893
| ~ spl55_1121 ),
inference(forward_demodulation,[],[f115072,f10543]) ).
fof(f115364,plain,
( ! [X0] :
( ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl55_20
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f115183,f545]) ).
fof(f115373,definition,
( spl55_5443
<=> ! [X0,X3,X2,X1] :
( sK6 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,X1)
| rR(sK6,X1,X0)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,sK8(X2,X3))
| ~ ron(X0,sK8(X2,X3))
| sK6 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl55_5443])],[avatar_definition]) ).
fof(f115374,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X1)
| sK6 = X0
| ~ rpoint(X0)
| X2 = X3
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,X1)
| rR(sK6,X1,X0)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ ron(X1,sK8(X2,X3))
| ~ ron(X0,sK8(X2,X3))
| sK6 = X1 )
| ~ spl55_5443 ),
inference(avatar_component_clause,[],[f115373]) ).
fof(f115376,definition,
( spl55_5444
<=> rR(sK6,vd1300,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_5444])],[avatar_definition]) ).
fof(f115378,plain,
( spl55_5443
| spl55_5444
| spl55_20 ),
inference(avatar_split_clause,[],[f115203,f1807,f115376,f115373]) ).
fof(f115386,plain,
( ! [X0] :
( ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f115216,f550]) ).
fof(f115469,plain,
( ! [X0] :
( ~ rR(sK6,vd1300,sK5)
| ~ ron(vd1300,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl55_20
| ~ spl55_652 ),
inference(forward_subsumption_resolution,[],[f115364,f546]) ).
fof(f115479,definition,
( spl55_5447
<=> ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ rpoint(X0)
| sK4 = X0
| ~ ron(sK6,sK8(sK4,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl55_5447])],[avatar_definition]) ).
fof(f115480,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ rpoint(X0)
| sK4 = X0
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_5447 ),
inference(avatar_component_clause,[],[f115479]) ).
fof(f115482,plain,
( ! [X0] :
( ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl55_21
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f115386,f546]) ).
fof(f115510,plain,
( spl55_1443
| ~ spl55_5444
| spl55_20
| ~ spl55_652 ),
inference(avatar_split_clause,[],[f115469,f16726,f1807,f115376,f42952]) ).
fof(f115516,plain,
( spl55_1464
| ~ spl55_843
| spl55_21
| ~ spl55_717 ),
inference(avatar_split_clause,[],[f115482,f18570,f1812,f21341,f43856]) ).
fof(f115524,plain,
( ~ rR(sK6,sK5,sK4)
| spl55_775 ),
inference(avatar_component_clause,[],[f19938]) ).
fof(f115685,plain,
( vd1295 = sK8(sK4,sK5)
| ~ ron(sK6,sK8(sK4,sK5)) ),
inference(forward_subsumption_resolution,[],[f50887,f550]) ).
fof(f115687,definition,
( spl55_5464
<=> ron(sK6,sK8(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl55_5464])],[avatar_definition]) ).
fof(f115688,plain,
( ~ ron(sK6,sK8(sK4,sK5))
| spl55_5464 ),
inference(avatar_component_clause,[],[f115687]) ).
fof(f115690,definition,
( spl55_5465
<=> vd1295 = sK8(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_5465])],[avatar_definition]) ).
fof(f115691,plain,
( vd1295 = sK8(sK4,sK5)
| ~ spl55_5465 ),
inference(avatar_component_clause,[],[f115690]) ).
fof(f115835,plain,
( ~ spl55_5464
| spl55_5465 ),
inference(avatar_split_clause,[],[f115685,f115690,f115687]) ).
fof(f117405,plain,
( rR(sK6,sK5,sK4)
| spl55_21
| spl55_717
| ~ spl55_893
| ~ spl55_1121 ),
inference(forward_subsumption_resolution,[],[f115307,f18571]) ).
fof(f117471,plain,
( rR(sK4,sK6,sK6)
| vd684 = vangle(sK6,sK4,sK6)
| ~ rpoint(sK6)
| vd1303 = sK6
| ~ rpoint(vd1303)
| spl55_21
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f23735,f1813]) ).
fof(f117609,plain,
( rR(sK4,sK6,sK6)
| vd684 = vangle(sK6,sK4,sK6)
| vd1303 = sK6
| ~ rpoint(vd1303)
| spl55_21
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f117471,f546]) ).
fof(f117688,plain,
( rR(sK4,sK6,sK6)
| vd684 = vangle(sK6,sK4,sK6)
| ~ rpoint(vd1303)
| spl55_21
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f117609,f879]) ).
fof(f117710,plain,
( rR(sK4,sK6,sK6)
| vd684 = vangle(sK6,sK4,sK6)
| spl55_21
| ~ spl55_844 ),
inference(forward_subsumption_resolution,[],[f117688,f542]) ).
fof(f117722,plain,
( spl55_44
| spl55_43
| spl55_21
| ~ spl55_844 ),
inference(avatar_split_clause,[],[f117710,f21365,f1812,f2117,f2120]) ).
fof(f117960,definition,
( spl55_5559
<=> ron(sK5,vd1297) ),
introduced(definition,[new_symbols(definition,[spl55_5559])],[avatar_definition]) ).
fof(f117961,plain,
( ron(sK5,vd1297)
| ~ spl55_5559 ),
inference(avatar_component_clause,[],[f117960]) ).
fof(f117974,plain,
( spl55_5559
| ~ spl55_860 ),
inference(avatar_split_clause,[],[f22542,f22273,f117960]) ).
fof(f118530,plain,
( vd684 != vangle(sK6,vd1303,sK5)
| vd1329 = sK4
| vd1329 = sK6
| rR(vd1329,sK4,sK6)
| rR(sK4,sK6,vd1329)
| rR(sK6,sK4,vd1329)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f40665,f539]) ).
fof(f118531,plain,
! [X0] :
( vd684 != vangle(sK6,vd1303,sK5)
| ~ rR(vd1329,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK4
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f3251,f875]) ).
fof(f118540,plain,
( spl55_383
| spl55_21
| ~ spl55_380 ),
inference(avatar_split_clause,[],[f32540,f9688,f1812,f9901]) ).
fof(f118666,definition,
( spl55_5595
<=> rR(sK6,vd1329,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_5595])],[avatar_definition]) ).
fof(f118667,plain,
( rR(sK6,vd1329,sK5)
| ~ spl55_5595 ),
inference(avatar_component_clause,[],[f118666]) ).
fof(f118738,plain,
( rR(sK6,vd1329,sK5)
| rR(vd1329,sK5,sK6)
| rR(sK5,vd1329,sK6)
| vd1329 = sK5
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f12657,f875]) ).
fof(f118756,definition,
( spl55_5610
<=> vd1329 = vskolem1052(sK5,sK5,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_5610])],[avatar_definition]) ).
fof(f118757,plain,
( vd1329 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_5610 ),
inference(avatar_component_clause,[],[f118756]) ).
fof(f118826,plain,
( sK7(sK6,sK4) = vf(vskolem1052(sK6,sK6,vskolem1052(sK5,sK5,sK6,sK6),vskolem1052(sK5,sK5,sK6,sK6)),sK6)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_611 ),
inference(forward_demodulation,[],[f15556,f15441]) ).
fof(f119008,definition,
( spl55_5639
<=> vd684 = vangle(vd1329,sK6,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_5639])],[avatar_definition]) ).
fof(f119009,plain,
( vd684 = vangle(vd1329,sK6,vd1300)
| ~ spl55_5639 ),
inference(avatar_component_clause,[],[f119008]) ).
fof(f119011,definition,
( spl55_5640
<=> rR(sK6,vd1329,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_5640])],[avatar_definition]) ).
fof(f119012,plain,
( rR(sK6,vd1329,vd1300)
| ~ spl55_5640 ),
inference(avatar_component_clause,[],[f119011]) ).
fof(f119013,plain,
( spl55_5639
| spl55_5640
| spl55_20 ),
inference(avatar_split_clause,[],[f32774,f1807,f119011,f119008]) ).
fof(f119420,plain,
( ! [X0] :
( ~ rR(vd1329,sK5,sK6)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK5
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1329) )
| ~ spl55_63 ),
inference(forward_subsumption_resolution,[],[f2875,f875]) ).
fof(f119438,plain,
( rR(vd1329,sK5,sK5)
| vd1329 = sK4
| vd1329 = sK5
| vangle(sK5,vd1329,sK4) = vangle(sK5,vd1329,sK6)
| rR(vd1329,sK6,sK4)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f44588,f875]) ).
fof(f119469,plain,
! [X0] :
( ~ ron(vd1329,sK15(sK6,X0))
| vd1329 = sK5
| ~ ron(sK5,sK15(sK6,X0))
| ~ rpoint(X0)
| rR(sK6,vd1329,sK5)
| sK6 = X0 ),
inference(forward_subsumption_resolution,[],[f45972,f539]) ).
fof(f119748,plain,
! [X0] :
( vf(sK6,sK4) != vf(sK6,X0)
| ~ rpoint(X0)
| ron(sK5,sK15(sK6,sK5)) ),
inference(forward_demodulation,[],[f54956,f869]) ).
fof(f119830,definition,
( spl55_5776
<=> vd684 = vangle(vd1300,sK6,vd1329) ),
introduced(definition,[new_symbols(definition,[spl55_5776])],[avatar_definition]) ).
fof(f119831,plain,
( vd684 = vangle(vd1300,sK6,vd1329)
| ~ spl55_5776 ),
inference(avatar_component_clause,[],[f119830]) ).
fof(f119833,definition,
( spl55_5777
<=> rR(sK6,vd1300,vd1329) ),
introduced(definition,[new_symbols(definition,[spl55_5777])],[avatar_definition]) ).
fof(f119834,plain,
( rR(sK6,vd1300,vd1329)
| ~ spl55_5777 ),
inference(avatar_component_clause,[],[f119833]) ).
fof(f119835,plain,
( spl55_5776
| spl55_5777
| spl55_20 ),
inference(avatar_split_clause,[],[f56183,f1807,f119833,f119830]) ).
fof(f120344,plain,
( vangle(sK6,vd1303,sK5) = vangle(sK5,vd1303,sK4)
| vd1303 = sK5
| ~ spl55_2626 ),
inference(forward_demodulation,[],[f77050,f9430]) ).
fof(f121229,plain,
( vd684 != vangle(sK6,vd1303,sK5)
| vd1329 = sK4
| rR(vd1329,sK4,sK6)
| rR(sK4,sK6,vd1329)
| rR(sK6,sK4,vd1329)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f118530,f875]) ).
fof(f121230,plain,
! [X0] :
( vd684 != vangle(sK6,vd1303,sK5)
| ~ rR(vd1329,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK4
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f118531,f550]) ).
fof(f121369,plain,
( rR(sK6,vd1329,sK5)
| rR(vd1329,sK5,sK6)
| rR(sK5,vd1329,sK6)
| vd1329 = sK5 ),
inference(forward_subsumption_resolution,[],[f118738,f539]) ).
fof(f121654,definition,
( spl55_5994
<=> vd684 = vangle(sK6,sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_5994])],[avatar_definition]) ).
fof(f121764,plain,
( ! [X0] :
( ~ rR(vd1329,sK5,sK6)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK5
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1329) )
| ~ spl55_63 ),
inference(forward_subsumption_resolution,[],[f119420,f546]) ).
fof(f121773,plain,
( rR(vd1329,sK5,sK5)
| vd1329 = sK4
| vd1329 = sK5
| vangle(sK5,vd1329,sK4) = vangle(sK5,vd1329,sK6)
| rR(vd1329,sK6,sK4) ),
inference(forward_subsumption_resolution,[],[f119438,f539]) ).
fof(f121797,definition,
( spl55_6010
<=> ! [X0] :
( ~ ron(vd1329,sK15(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(sK5,sK15(sK6,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl55_6010])],[avatar_definition]) ).
fof(f121798,plain,
( ! [X0] :
( ~ ron(sK5,sK15(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ ron(vd1329,sK15(sK6,X0)) )
| ~ spl55_6010 ),
inference(avatar_component_clause,[],[f121797]) ).
fof(f121799,plain,
( spl55_5595
| spl55_55
| spl55_6010 ),
inference(avatar_split_clause,[],[f119469,f121797,f2404,f118666]) ).
fof(f121903,definition,
( spl55_6024
<=> ! [X0] :
( vf(sK6,X0) != sK7(sK6,sK4)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_6024])],[avatar_definition]) ).
fof(f121904,plain,
( ! [X0] :
( vf(sK6,X0) != sK7(sK6,sK4)
| ~ rpoint(X0) )
| ~ spl55_6024 ),
inference(avatar_component_clause,[],[f121903]) ).
fof(f121918,plain,
! [X0] :
( vf(sK6,X0) != sK7(sK6,sK4)
| ~ rpoint(X0)
| ron(sK5,sK15(sK6,sK5)) ),
inference(forward_demodulation,[],[f119748,f8220]) ).
fof(f122284,definition,
( spl55_6065
<=> ! [X0] :
( vf(sK4,X0) != sK7(sK6,sK4)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_6065])],[avatar_definition]) ).
fof(f122285,plain,
( ! [X0] :
( vf(sK4,X0) != sK7(sK6,sK4)
| ~ rpoint(X0) )
| ~ spl55_6065 ),
inference(avatar_component_clause,[],[f122284]) ).
fof(f122694,definition,
( spl55_6096
<=> rR(vd1329,sK4,sK6) ),
introduced(definition,[new_symbols(definition,[spl55_6096])],[avatar_definition]) ).
fof(f122695,plain,
( rR(vd1329,sK4,sK6)
| ~ spl55_6096 ),
inference(avatar_component_clause,[],[f122694]) ).
fof(f122697,definition,
( spl55_6097
<=> rR(sK6,sK4,vd1329) ),
introduced(definition,[new_symbols(definition,[spl55_6097])],[avatar_definition]) ).
fof(f122701,definition,
( spl55_6098
<=> rR(sK4,sK6,vd1329) ),
introduced(definition,[new_symbols(definition,[spl55_6098])],[avatar_definition]) ).
fof(f122702,plain,
( rR(sK4,sK6,vd1329)
| ~ spl55_6098 ),
inference(avatar_component_clause,[],[f122701]) ).
fof(f122703,plain,
( spl55_6097
| spl55_6098
| spl55_6096
| spl55_36
| ~ spl55_842
| spl55_21 ),
inference(avatar_split_clause,[],[f121229,f1812,f21337,f1926,f122694,f122701,f122697]) ).
fof(f122704,plain,
! [X0] :
( vd684 != vangle(sK6,vd1303,sK5)
| ~ rR(vd1329,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK4
| ~ rline(X0)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f121230,f546]) ).
fof(f122821,plain,
( spl55_55
| spl55_149
| spl55_64
| spl55_5595 ),
inference(avatar_split_clause,[],[f121369,f118666,f2524,f4609,f2404]) ).
fof(f123093,plain,
( ! [X0] :
( ~ rR(vd1329,sK5,sK6)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK5
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl55_63 ),
inference(forward_subsumption_resolution,[],[f121764,f548]) ).
fof(f123117,definition,
( spl55_6159
<=> rR(vd1329,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_6159])],[avatar_definition]) ).
fof(f123205,definition,
( spl55_6171
<=> ron(sK5,sK15(sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl55_6171])],[avatar_definition]) ).
fof(f123206,plain,
( ron(sK5,sK15(sK6,sK5))
| ~ spl55_6171 ),
inference(avatar_component_clause,[],[f123205]) ).
fof(f123207,plain,
( spl55_6171
| spl55_6024 ),
inference(avatar_split_clause,[],[f121918,f121903,f123205]) ).
fof(f123658,plain,
! [X0] :
( vd684 != vangle(sK6,vd1303,sK5)
| ~ rR(vd1329,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK4
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f122704,f539]) ).
fof(f123826,plain,
( ! [X0] :
( ~ rR(vd1329,sK5,sK6)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK5
| ~ rline(X0) )
| ~ spl55_63 ),
inference(forward_subsumption_resolution,[],[f123093,f539]) ).
fof(f124148,definition,
( spl55_6248
<=> ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_6248])],[avatar_definition]) ).
fof(f124149,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK6,X0)
| ~ ron(vd1329,X0) )
| ~ spl55_6248 ),
inference(avatar_component_clause,[],[f124148]) ).
fof(f124150,plain,
( ~ rR(vd1329,sK6,sK4)
| spl55_6159 ),
inference(avatar_component_clause,[],[f123117]) ).
fof(f124151,plain,
( spl55_36
| spl55_6248
| ~ spl55_6159
| ~ spl55_842 ),
inference(avatar_split_clause,[],[f123658,f21337,f123117,f124148,f1926]) ).
fof(f124265,definition,
( spl55_6267
<=> ! [X0] :
( ~ ron(sK5,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_6267])],[avatar_definition]) ).
fof(f124266,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK5,X0)
| ~ ron(vd1329,X0) )
| ~ spl55_6267 ),
inference(avatar_component_clause,[],[f124265]) ).
fof(f124272,plain,
( spl55_55
| spl55_6267
| ~ spl55_64
| ~ spl55_63 ),
inference(avatar_split_clause,[],[f123826,f2521,f2524,f124265,f2404]) ).
fof(f124592,plain,
( ron(sK5,sK8(sK4,vd1303))
| vd1303 = sK5
| ~ spl55_842
| ~ spl55_1116 ),
inference(forward_subsumption_resolution,[],[f64431,f548]) ).
fof(f124789,plain,
( vangle(sK4,vd1303,sK5) = vangle(sK6,vd1303,sK5)
| vd1303 = sK5
| ~ spl55_378
| ~ spl55_2626 ),
inference(forward_demodulation,[],[f120344,f33464]) ).
fof(f125378,plain,
( spl55_50
| spl55_893
| ~ spl55_842
| ~ spl55_1116 ),
inference(avatar_split_clause,[],[f124592,f30283,f21337,f23790,f2230]) ).
fof(f128100,definition,
( spl55_6410
<=> vangle(sK4,vd1303,sK5) = vangle(sK6,vd1303,sK5) ),
introduced(definition,[new_symbols(definition,[spl55_6410])],[avatar_definition]) ).
fof(f128101,plain,
( vangle(sK4,vd1303,sK5) = vangle(sK6,vd1303,sK5)
| ~ spl55_6410 ),
inference(avatar_component_clause,[],[f128100]) ).
fof(f128102,plain,
( spl55_50
| spl55_6410
| ~ spl55_378
| ~ spl55_2626 ),
inference(avatar_split_clause,[],[f124789,f77013,f9651,f128100,f2230]) ).
fof(f130295,plain,
( vd684 = vangle(sK4,vd1303,sK5)
| ~ spl55_842
| ~ spl55_6410 ),
inference(forward_demodulation,[],[f128101,f21338]) ).
fof(f131651,plain,
( vf(sK4,sK5) = vplus(vf(sK4,sK6),vf(sK6,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl55_843 ),
inference(resolution,[],[f21342,f1248]) ).
fof(f131652,plain,
( vf(sK4,sK5) = vplus(vf(sK4,sK6),vf(sK6,sK5))
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl55_843 ),
inference(forward_subsumption_resolution,[],[f131651,f548]) ).
fof(f131659,plain,
( vf(sK4,sK5) = vplus(vf(sK4,sK6),vf(sK6,sK5))
| ~ rpoint(sK4)
| ~ spl55_843 ),
inference(forward_subsumption_resolution,[],[f131652,f546]) ).
fof(f131665,plain,
( vf(sK4,sK5) = vplus(vf(sK4,sK6),vf(sK6,sK5))
| ~ spl55_843 ),
inference(forward_subsumption_resolution,[],[f131659,f550]) ).
fof(f131667,plain,
( vf(sK4,sK5) = vplus(vf(sK4,sK6),vf(sK6,sK4))
| ~ spl55_843 ),
inference(forward_demodulation,[],[f131665,f869]) ).
fof(f131669,plain,
( vf(sK4,sK5) = vplus(vf(sK4,sK6),sK7(sK6,sK4))
| ~ spl55_843 ),
inference(forward_demodulation,[],[f131667,f8220]) ).
fof(f131686,plain,
( rR(sK6,sK5,vd1329)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(vd1329)
| ~ spl55_5595 ),
inference(resolution,[],[f118667,f1032]) ).
fof(f131690,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(vd1329)
| ~ spl55_5595 ),
inference(forward_subsumption_resolution,[],[f131686,f864]) ).
fof(f131698,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1329)
| ~ spl55_5595 ),
inference(forward_subsumption_resolution,[],[f131690,f548]) ).
fof(f131706,plain,
( ~ rpoint(vd1329)
| ~ spl55_5595 ),
inference(forward_subsumption_resolution,[],[f131698,f546]) ).
fof(f131710,plain,
( $false
| ~ spl55_5595 ),
inference(forward_subsumption_resolution,[],[f131706,f539]) ).
fof(f131711,plain,
~ spl55_5595,
inference(avatar_contradiction_clause,[],[f131710]) ).
fof(f131728,plain,
( ! [X0] :
( ron(sK5,sK8(sK4,X0))
| ~ ron(vd1329,sK8(sK4,X0))
| ~ rpoint(sK5)
| ~ rpoint(vd1329)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149 ),
inference(resolution,[],[f4610,f32163]) ).
fof(f131732,plain,
( ! [X0] :
( ~ ron(vd1329,sK8(sK4,X0))
| ~ rpoint(sK5)
| ~ rpoint(vd1329)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149
| ~ spl55_5447 ),
inference(forward_subsumption_resolution,[],[f131728,f115480]) ).
fof(f131742,plain,
( ! [X0] :
( ~ ron(vd1329,sK8(sK4,X0))
| ~ rpoint(vd1329)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149
| ~ spl55_5447 ),
inference(forward_subsumption_resolution,[],[f131732,f548]) ).
fof(f131750,plain,
( ! [X0] :
( ~ ron(vd1329,sK8(sK4,X0))
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149
| ~ spl55_5447 ),
inference(forward_subsumption_resolution,[],[f131742,f539]) ).
fof(f131812,plain,
( ~ rpoint(sK4)
| ~ rpoint(sK6)
| sK5 = sK6
| ron(sK4,sK8(sK5,sK6))
| ~ spl55_775 ),
inference(resolution,[],[f19939,f29760]) ).
fof(f131828,plain,
( ~ rpoint(sK6)
| sK5 = sK6
| ron(sK4,sK8(sK5,sK6))
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f131812,f550]) ).
fof(f131835,plain,
( sK5 = sK6
| ron(sK4,sK8(sK5,sK6))
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f131828,f546]) ).
fof(f131839,plain,
( ron(sK4,sK8(sK5,sK6))
| ~ spl55_775 ),
inference(forward_subsumption_resolution,[],[f131835,f912]) ).
fof(f131842,plain,
( spl55_849
| ~ spl55_775 ),
inference(avatar_split_clause,[],[f131839,f19938,f21526]) ).
fof(f132010,plain,
( rR(vd1329,sK6,sK4)
| ~ rpoint(sK6)
| ~ rpoint(vd1329)
| ~ rpoint(sK4)
| ~ spl55_6096 ),
inference(resolution,[],[f122695,f1032]) ).
fof(f132058,plain,
( ~ ron(sK6,vd1297)
| ~ ron(vd1303,vd1297)
| ~ spl55_1444 ),
inference(resolution,[],[f42959,f619]) ).
fof(f132063,plain,
( ~ ron(vd1303,vd1297)
| ~ spl55_1444 ),
inference(forward_subsumption_resolution,[],[f132058,f922]) ).
fof(f132066,plain,
( $false
| ~ spl55_1444 ),
inference(forward_subsumption_resolution,[],[f132063,f915]) ).
fof(f132067,plain,
~ spl55_1444,
inference(avatar_contradiction_clause,[],[f132066]) ).
fof(f132191,plain,
( ~ rpoint(sK5)
| ~ rpoint(vd1329)
| ~ spl55_82 ),
inference(resolution,[],[f2851,f1731]) ).
fof(f132209,plain,
( ~ rpoint(vd1329)
| ~ spl55_82 ),
inference(forward_subsumption_resolution,[],[f132191,f548]) ).
fof(f132216,plain,
( $false
| ~ spl55_82 ),
inference(forward_subsumption_resolution,[],[f132209,f539]) ).
fof(f132217,plain,
~ spl55_82,
inference(avatar_contradiction_clause,[],[f132216]) ).
fof(f132239,plain,
( ~ ron(sK6,vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl55_1443 ),
inference(resolution,[],[f42953,f622]) ).
fof(f132242,plain,
( ~ ron(vd1300,vd1295)
| ~ spl55_1443 ),
inference(forward_subsumption_resolution,[],[f132239,f923]) ).
fof(f132244,plain,
( $false
| ~ spl55_1443 ),
inference(forward_subsumption_resolution,[],[f132242,f921]) ).
fof(f132245,plain,
~ spl55_1443,
inference(avatar_contradiction_clause,[],[f132244]) ).
fof(f132801,plain,
( ~ ron(sK6,vd1295)
| ~ ron(vd1329,vd1295)
| ~ spl55_6248 ),
inference(resolution,[],[f124149,f622]) ).
fof(f132804,plain,
( ~ ron(vd1329,vd1295)
| ~ spl55_6248 ),
inference(forward_subsumption_resolution,[],[f132801,f923]) ).
fof(f132806,plain,
( $false
| ~ spl55_6248 ),
inference(forward_subsumption_resolution,[],[f132804,f612]) ).
fof(f132807,plain,
~ spl55_6248,
inference(avatar_contradiction_clause,[],[f132806]) ).
fof(f132813,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1329)
| ~ rpoint(sK4)
| ~ spl55_6096
| spl55_6159 ),
inference(forward_subsumption_resolution,[],[f132010,f124150]) ).
fof(f132814,plain,
( rR(vd1329,sK5,sK5)
| vd1329 = sK4
| vd1329 = sK5
| vangle(sK5,vd1329,sK4) = vangle(sK5,vd1329,sK6)
| spl55_6159 ),
inference(forward_subsumption_resolution,[],[f121773,f124150]) ).
fof(f132818,plain,
( ~ rpoint(vd1329)
| ~ rpoint(sK4)
| ~ spl55_6096
| spl55_6159 ),
inference(forward_subsumption_resolution,[],[f132813,f546]) ).
fof(f132823,plain,
( ~ rpoint(sK4)
| ~ spl55_6096
| spl55_6159 ),
inference(forward_subsumption_resolution,[],[f132818,f539]) ).
fof(f132828,plain,
( $false
| ~ spl55_6096
| spl55_6159 ),
inference(forward_subsumption_resolution,[],[f132823,f550]) ).
fof(f132829,plain,
( ~ spl55_6096
| spl55_6159 ),
inference(avatar_contradiction_clause,[],[f132828]) ).
fof(f132883,plain,
( ! [X0] :
( ron(vd1329,sK8(sK4,X0))
| ~ rpoint(vd1329)
| ~ rpoint(sK6)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_6098 ),
inference(resolution,[],[f122702,f29228]) ).
fof(f132898,plain,
( ! [X0] :
( ~ rpoint(vd1329)
| ~ rpoint(sK6)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f132883,f131750]) ).
fof(f132905,plain,
( ! [X0] :
( ~ rpoint(sK6)
| sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f132898,f539]) ).
fof(f132910,plain,
( ! [X0] :
( sK4 = X0
| ~ rpoint(X0)
| ~ ron(sK6,sK8(sK4,X0)) )
| ~ spl55_149
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f132905,f546]) ).
fof(f132922,plain,
( vangle(sK4,vd1303,sK5) = vangle(sK5,vd1329,sK6)
| rR(vd1329,sK5,sK5)
| vd1329 = sK4
| vd1329 = sK5
| spl55_6159 ),
inference(forward_demodulation,[],[f132814,f857]) ).
fof(f132925,plain,
( vd684 = vangle(sK5,vd1329,sK6)
| rR(vd1329,sK5,sK5)
| vd1329 = sK4
| vd1329 = sK5
| ~ spl55_959
| spl55_6159 ),
inference(forward_demodulation,[],[f132922,f26340]) ).
fof(f132928,plain,
( spl55_55
| spl55_36
| spl55_82
| spl55_63
| ~ spl55_959
| spl55_6159 ),
inference(avatar_split_clause,[],[f132925,f123117,f26339,f2521,f2850,f1926,f2404]) ).
fof(f140566,plain,
( ! [X2,X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| X1 = X2
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,vd1329)
| rR(sK6,vd1329,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ ron(vd1329,sK8(X1,X2))
| ~ ron(X0,sK8(X1,X2))
| vd1329 = sK6 )
| ~ spl55_5443 ),
inference(resolution,[],[f115374,f539]) ).
fof(f140597,plain,
( ! [X2,X0,X1] :
( ~ ron(vd1329,sK8(X1,X2))
| ~ rpoint(X0)
| X1 = X2
| vangle(sK5,sK6,X0) = vangle(vd1300,sK6,vd1329)
| rR(sK6,vd1329,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| sK6 = X0
| ~ ron(X0,sK8(X1,X2)) )
| ~ spl55_5443 ),
inference(forward_subsumption_resolution,[],[f140566,f875]) ).
fof(f140605,plain,
( ! [X2,X0,X1] :
( ~ ron(vd1329,sK8(X1,X2))
| sK6 = X0
| ~ rpoint(X0)
| X1 = X2
| rR(sK6,vd1329,X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vd684 = vangle(sK5,sK6,X0)
| ~ ron(X0,sK8(X1,X2)) )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(forward_demodulation,[],[f140597,f119831]) ).
fof(f142923,plain,
( ~ ron(sK5,vd1295)
| ~ ron(vd1329,vd1295)
| ~ spl55_6267 ),
inference(resolution,[],[f124266,f622]) ).
fof(f142927,plain,
( ~ ron(vd1329,vd1295)
| ~ spl55_6267 ),
inference(forward_subsumption_resolution,[],[f142923,f919]) ).
fof(f142929,plain,
( $false
| ~ spl55_6267 ),
inference(forward_subsumption_resolution,[],[f142927,f612]) ).
fof(f142930,plain,
~ spl55_6267,
inference(avatar_contradiction_clause,[],[f142929]) ).
fof(f145487,plain,
( sK5 = sK6
| ~ rpoint(sK5)
| ~ ron(vd1329,sK15(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl55_6010 ),
inference(resolution,[],[f121798,f1225]) ).
fof(f145490,plain,
( sK5 = sK6
| ~ rpoint(sK5)
| ~ ron(vd1329,sK15(sK6,sK5))
| ~ rpoint(sK6)
| ~ spl55_6010 ),
inference(duplicate_literal_removal,[],[f145487]) ).
fof(f145492,plain,
( ~ rpoint(sK5)
| ~ ron(vd1329,sK15(sK6,sK5))
| ~ rpoint(sK6)
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145490,f912]) ).
fof(f145494,plain,
( ~ ron(vd1329,sK15(sK6,sK5))
| ~ rpoint(sK6)
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145492,f548]) ).
fof(f145496,plain,
( ~ ron(vd1329,sK15(sK6,sK5))
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145494,f546]) ).
fof(f145499,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK6)
| vf(sK6,sK5) != vf(sK6,vd1329)
| sK5 = sK6
| ~ rpoint(vd1329)
| ~ spl55_6010 ),
inference(resolution,[],[f145496,f2919]) ).
fof(f145500,plain,
( ~ rpoint(sK6)
| vf(sK6,sK5) != vf(sK6,vd1329)
| sK5 = sK6
| ~ rpoint(vd1329)
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145499,f548]) ).
fof(f145501,plain,
( vf(sK6,sK5) != vf(sK6,vd1329)
| sK5 = sK6
| ~ rpoint(vd1329)
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145500,f546]) ).
fof(f145502,plain,
( vf(sK6,sK5) != vf(sK6,vd1329)
| ~ rpoint(vd1329)
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145501,f912]) ).
fof(f145503,plain,
( vf(sK6,sK5) != vf(sK6,vd1329)
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f145502,f539]) ).
fof(f145504,plain,
( vf(sK6,sK5) != vf(sK6,vd1303)
| ~ spl55_6010 ),
inference(forward_demodulation,[],[f145503,f876]) ).
fof(f145505,plain,
( vf(sK6,sK5) != sK7(sK6,vd1303)
| ~ spl55_6010 ),
inference(forward_demodulation,[],[f145504,f8217]) ).
fof(f145506,plain,
( vf(sK6,sK4) != sK7(sK6,vd1303)
| ~ spl55_6010 ),
inference(forward_demodulation,[],[f145505,f869]) ).
fof(f145631,plain,
( ron(sK5,sK15(sK4,sK6))
| ~ rpoint(sK4)
| ~ spl55_2919 ),
inference(forward_subsumption_resolution,[],[f90075,f548]) ).
fof(f145804,plain,
( ron(sK5,sK15(sK4,sK6))
| ~ spl55_2919 ),
inference(forward_subsumption_resolution,[],[f145631,f550]) ).
fof(f146655,plain,
( sK7(sK6,vd1303) != sK7(sK6,sK4)
| ~ spl55_6010 ),
inference(forward_demodulation,[],[f145506,f8220]) ).
fof(f147152,plain,
( vf(sK4,sK5) = vplus(vf(sK6,sK4),sK7(sK6,sK4))
| ~ spl55_843 ),
inference(forward_demodulation,[],[f131669,f1990]) ).
fof(f147316,plain,
( vf(vskolem1052(sK6,sK6,vd1329,vd1329),sK6) = sK7(sK6,sK4)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_611
| ~ spl55_5610 ),
inference(forward_demodulation,[],[f118826,f118757]) ).
fof(f147405,plain,
( vf(sK4,sK5) = vplus(sK7(sK6,sK4),sK7(sK6,sK4))
| ~ spl55_843 ),
inference(forward_demodulation,[],[f147152,f8220]) ).
fof(f147496,plain,
( vf(vd1329,vskolem1052(sK6,sK6,vd1329,vd1329)) = sK7(sK6,sK4)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_611
| ~ spl55_5610 ),
inference(forward_demodulation,[],[f147316,f3400]) ).
fof(f147568,plain,
( sK7(sK4,sK5) = vplus(sK7(sK6,sK4),sK7(sK6,sK4))
| ~ spl55_843 ),
inference(forward_demodulation,[],[f147405,f8190]) ).
fof(f147646,plain,
( vf(sK6,vd1303) = sK7(sK6,sK4)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_611
| ~ spl55_5610 ),
inference(forward_demodulation,[],[f147496,f4510]) ).
fof(f147750,plain,
( sK7(sK6,vd1303) = sK7(sK6,sK4)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_611
| ~ spl55_5610 ),
inference(forward_demodulation,[],[f147646,f8217]) ).
fof(f147825,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_611
| ~ spl55_5610
| ~ spl55_6010 ),
inference(forward_subsumption_resolution,[],[f147750,f146655]) ).
fof(f147873,plain,
( spl55_231
| ~ spl55_611
| ~ spl55_5610
| ~ spl55_6010 ),
inference(avatar_split_clause,[],[f147825,f121797,f118756,f15440,f5966]) ).
fof(f148728,plain,
( ! [X0] :
( vd1303 = X0
| vd1303 = sK5
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6)
| ~ rpoint(X0)
| ~ rpoint(vd1303) )
| ~ spl55_657 ),
inference(forward_subsumption_resolution,[],[f91965,f22583]) ).
fof(f148883,plain,
( ! [X0] :
( vd1303 = X0
| vd1303 = sK5
| vangle(X0,vd1303,sK5) = vangle(X0,vd1303,sK6)
| ~ rpoint(X0) )
| ~ spl55_657 ),
inference(forward_subsumption_resolution,[],[f148728,f542]) ).
fof(f149002,plain,
( spl55_50
| spl55_5414
| ~ spl55_657 ),
inference(avatar_split_clause,[],[f148883,f17232,f114270,f2230]) ).
fof(f149472,plain,
( vd1303 = sK6
| vangle(sK6,vd1303,sK5) = vangle(sK6,vd1303,sK6)
| ~ spl55_5414 ),
inference(resolution,[],[f114271,f546]) ).
fof(f149477,plain,
( vangle(sK6,vd1303,sK5) = vangle(sK6,vd1303,sK6)
| ~ spl55_5414 ),
inference(forward_subsumption_resolution,[],[f149472,f879]) ).
fof(f149496,plain,
( vd684 = vangle(sK6,vd1303,sK5)
| ~ spl55_53
| ~ spl55_5414 ),
inference(forward_demodulation,[],[f149477,f2297]) ).
fof(f149536,plain,
( rR(sK4,sK5,sK6)
| vangle(sK6,sK4,sK5) = vangle(sK6,sK4,sK6)
| ~ rpoint(sK5)
| sK4 = sK5
| spl55_21
| ~ spl55_1451 ),
inference(resolution,[],[f43385,f919]) ).
fof(f149538,plain,
( vangle(sK6,sK4,sK5) = vangle(sK6,sK4,sK6)
| ~ rpoint(sK5)
| sK4 = sK5
| spl55_21
| spl55_777
| ~ spl55_1451 ),
inference(forward_subsumption_resolution,[],[f149536,f43020]) ).
fof(f149541,plain,
( vangle(sK6,sK4,sK5) = vangle(sK6,sK4,sK6)
| sK4 = sK5
| spl55_21
| spl55_777
| ~ spl55_1451 ),
inference(forward_subsumption_resolution,[],[f149538,f548]) ).
fof(f149544,plain,
( vangle(sK6,sK4,sK5) = vangle(sK6,sK4,sK6)
| spl55_21
| spl55_777
| ~ spl55_1451 ),
inference(forward_subsumption_resolution,[],[f149541,f870]) ).
fof(f149546,plain,
( vd684 = vangle(sK6,sK4,sK5)
| spl55_21
| ~ spl55_44
| spl55_777
| ~ spl55_1451 ),
inference(forward_demodulation,[],[f149544,f2121]) ).
fof(f151540,plain,
( vd684 != vangle(sK6,sK5,sK4)
| sK4 = sK5
| ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK4)
| spl55_21 ),
inference(superposition,[],[f39303,f13623]) ).
fof(f153825,plain,
( vf(sK6,sK4) != sK7(sK6,sK4)
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| sK15(sK6,sK5) = sK15(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(superposition,[],[f25690,f3757]) ).
fof(f153827,plain,
( sK7(sK6,sK4) != sK7(sK6,sK4)
| ~ rpoint(sK4)
| sK4 = sK6
| sK15(sK6,sK4) = sK15(sK6,sK5) ),
inference(superposition,[],[f25690,f8220]) ).
fof(f153828,plain,
( ~ rpoint(sK4)
| sK4 = sK6
| sK15(sK6,sK4) = sK15(sK6,sK5) ),
inference(trivial_inequality_removal,[],[f153827]) ).
fof(f153829,plain,
( sK4 = sK6
| sK15(sK6,sK4) = sK15(sK6,sK5) ),
inference(forward_subsumption_resolution,[],[f153828,f550]) ).
fof(f153830,plain,
( ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| sK15(sK6,sK5) = sK15(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f153825,f8220]) ).
fof(f153833,plain,
( sK15(sK6,sK4) = sK15(sK6,sK5)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f153829,f1813]) ).
fof(f153834,plain,
( sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| sK15(sK6,sK5) = sK15(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f153830,f3884]) ).
fof(f153837,plain,
( sK15(sK6,sK4) = sK15(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| spl55_21 ),
inference(forward_demodulation,[],[f153834,f153833]) ).
fof(f153841,definition,
( spl55_7522
<=> sK15(sK6,sK4) = sK15(sK6,vskolem1052(sK4,sK4,sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_7522])],[avatar_definition]) ).
fof(f153842,plain,
( sK15(sK6,sK4) = sK15(sK6,vskolem1052(sK4,sK4,sK6,sK6))
| ~ spl55_7522 ),
inference(avatar_component_clause,[],[f153841]) ).
fof(f153843,plain,
( spl55_110
| spl55_7522
| spl55_21 ),
inference(avatar_split_clause,[],[f153837,f1812,f153841,f3949]) ).
fof(f153850,plain,
( ron(sK5,sK15(sK6,sK4))
| spl55_21
| ~ spl55_6171 ),
inference(superposition,[],[f123206,f153833]) ).
fof(f153868,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,sK4))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| sK5 = sK6
| vf(sK6,sK5) = vf(sK6,X0)
| ~ rpoint(X0) )
| spl55_21 ),
inference(superposition,[],[f2918,f153833]) ).
fof(f153919,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,sK4))
| ~ rpoint(sK6)
| sK5 = sK6
| vf(sK6,sK5) = vf(sK6,X0)
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f153868,f548]) ).
fof(f153960,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,sK4))
| sK5 = sK6
| vf(sK6,sK5) = vf(sK6,X0)
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f153919,f546]) ).
fof(f153999,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,sK4))
| vf(sK6,sK5) = vf(sK6,X0)
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f153960,f912]) ).
fof(f154091,plain,
( ! [X0] :
( vf(sK6,sK4) = vf(sK6,X0)
| ~ ron(X0,sK15(sK6,sK4))
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_demodulation,[],[f153999,f869]) ).
fof(f154096,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,sK4))
| vf(sK6,X0) = sK7(sK6,sK4)
| ~ rpoint(X0) )
| spl55_21 ),
inference(forward_demodulation,[],[f154091,f8220]) ).
fof(f154097,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK6,sK4))
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_6024 ),
inference(forward_subsumption_resolution,[],[f154096,f121904]) ).
fof(f154118,plain,
( sK4 = sK5
| ~ ron(sK6,sK8(sK4,sK5))
| rR(sK6,sK5,sK4)
| sK4 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_6171 ),
inference(resolution,[],[f153850,f113740]) ).
fof(f154119,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| sK4 = sK5
| ~ ron(sK6,sK8(sK4,X0))
| rR(sK6,sK4,sK5)
| sK4 = sK6
| ~ rpoint(sK5)
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_6171 ),
inference(resolution,[],[f153850,f113533]) ).
fof(f154191,plain,
( ron(vskolem1052(sK4,sK4,sK6,sK6),sK15(sK6,sK4))
| sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(sK6)
| ~ spl55_7522 ),
inference(superposition,[],[f1225,f153842]) ).
fof(f154228,plain,
( sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_6024
| ~ spl55_7522 ),
inference(forward_subsumption_resolution,[],[f154191,f154097]) ).
fof(f154231,plain,
( sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_6024
| ~ spl55_7522 ),
inference(forward_subsumption_resolution,[],[f154228,f3884]) ).
fof(f154234,plain,
( sK6 = vskolem1052(sK4,sK4,sK6,sK6)
| spl55_21
| ~ spl55_6024
| ~ spl55_7522 ),
inference(forward_subsumption_resolution,[],[f154231,f546]) ).
fof(f154237,plain,
( spl55_110
| spl55_21
| ~ spl55_6024
| ~ spl55_7522 ),
inference(avatar_split_clause,[],[f154234,f153841,f121903,f1812,f3949]) ).
fof(f158564,plain,
( ! [X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| vd1329 = X1
| rR(sK6,vd1329,X0)
| ~ rpoint(X1)
| ~ rpoint(vd1329)
| vd684 = vangle(sK5,sK6,X0)
| ~ ron(X0,sK8(X1,vd1329))
| vd1329 = X1
| ~ rpoint(vd1329)
| ~ rpoint(X1) )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(resolution,[],[f140605,f1127]) ).
fof(f158578,plain,
( ! [X0,X1] :
( sK6 = X0
| ~ rpoint(X0)
| vd1329 = X1
| rR(sK6,vd1329,X0)
| ~ rpoint(X1)
| ~ rpoint(vd1329)
| vd684 = vangle(sK5,sK6,X0)
| ~ ron(X0,sK8(X1,vd1329)) )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(duplicate_literal_removal,[],[f158564]) ).
fof(f158590,plain,
( ! [X0,X1] :
( ~ ron(X0,sK8(X1,vd1329))
| ~ rpoint(X0)
| vd1329 = X1
| rR(sK6,vd1329,X0)
| ~ rpoint(X1)
| vd684 = vangle(sK5,sK6,X0)
| sK6 = X0 )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(forward_subsumption_resolution,[],[f158578,f539]) ).
fof(f162360,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1329 = X0
| rR(sK6,vd1329,X0)
| ~ rpoint(X0)
| vd684 = vangle(sK5,sK6,X0)
| sK6 = X0
| vd1329 = X0
| ~ rpoint(vd1329)
| ~ rpoint(X0) )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(resolution,[],[f158590,f1129]) ).
fof(f162376,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1329 = X0
| rR(sK6,vd1329,X0)
| vd684 = vangle(sK5,sK6,X0)
| sK6 = X0
| ~ rpoint(vd1329) )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(duplicate_literal_removal,[],[f162360]) ).
fof(f162379,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd1329 = X0
| rR(sK6,vd1329,X0)
| vd684 = vangle(sK5,sK6,X0)
| sK6 = X0 )
| ~ spl55_5443
| ~ spl55_5776 ),
inference(forward_subsumption_resolution,[],[f162376,f539]) ).
fof(f163047,plain,
( vd1329 = vd1300
| vangle(vd1300,sK6,vd1329) = vangle(vd1329,sK6,vd1300) ),
inference(resolution,[],[f61437,f545]) ).
fof(f163100,plain,
( vd684 = vangle(vd1300,sK6,vd1329)
| vd1329 = vd1300
| ~ spl55_5639 ),
inference(forward_demodulation,[],[f163047,f119009]) ).
fof(f167288,plain,
( spl55_58
| spl55_5776
| ~ spl55_5639 ),
inference(avatar_split_clause,[],[f163100,f119008,f119830,f2416]) ).
fof(f167331,plain,
( ~ rpoint(vd1300)
| ~ rpoint(vd1329)
| ~ rR(vd1329,sK6,vd1300)
| ~ spl55_5640 ),
inference(resolution,[],[f119012,f2049]) ).
fof(f167365,plain,
( ~ rpoint(vd1329)
| ~ rR(vd1329,sK6,vd1300)
| ~ spl55_5640 ),
inference(forward_subsumption_resolution,[],[f167331,f545]) ).
fof(f167371,plain,
( ~ rR(vd1329,sK6,vd1300)
| ~ spl55_5640 ),
inference(forward_subsumption_resolution,[],[f167365,f539]) ).
fof(f167375,plain,
( $false
| ~ spl55_5640 ),
inference(forward_subsumption_resolution,[],[f167371,f866]) ).
fof(f167376,plain,
~ spl55_5640,
inference(avatar_contradiction_clause,[],[f167375]) ).
fof(f167647,plain,
( vd1329 = vskolem1052(sK5,sK5,sK6,sK6)
| rR(sK6,vd1329,vskolem1052(sK5,sK5,sK6,sK6))
| vd684 = vangle(sK5,sK6,vskolem1052(sK5,sK5,sK6,sK6))
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl55_5443
| ~ spl55_5776 ),
inference(resolution,[],[f162379,f7687]) ).
fof(f168361,definition,
( spl55_8316
<=> sK7(sK4,sK5) = sK7(sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl55_8316])],[avatar_definition]) ).
fof(f168362,plain,
( sK7(sK4,sK5) = sK7(sK6,sK4)
| ~ spl55_8316 ),
inference(avatar_component_clause,[],[f168361]) ).
fof(f181987,plain,
( sK7(sK6,sK4) != sK7(sK6,sK4)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| sK15(sK5,sK6) = sK15(sK5,vskolem1052(sK5,sK5,sK6,sK6)) ),
inference(superposition,[],[f33080,f15567]) ).
fof(f181990,plain,
( ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| sK15(sK5,sK6) = sK15(sK5,vskolem1052(sK5,sK5,sK6,sK6)) ),
inference(trivial_inequality_removal,[],[f181987]) ).
fof(f181994,plain,
( sK5 = vskolem1052(sK5,sK5,sK6,sK6)
| sK15(sK5,sK6) = sK15(sK5,vskolem1052(sK5,sK5,sK6,sK6)) ),
inference(forward_subsumption_resolution,[],[f181990,f7687]) ).
fof(f182011,plain,
( sK7(sK4,sK5) != sK7(sK6,sK4)
| spl55_8316 ),
inference(avatar_component_clause,[],[f168361]) ).
fof(f182130,definition,
( spl55_9669
<=> rR(sK6,vd1329,vskolem1052(sK5,sK5,sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_9669])],[avatar_definition]) ).
fof(f182131,plain,
( rR(sK6,vd1329,vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_9669 ),
inference(avatar_component_clause,[],[f182130]) ).
fof(f182159,plain,
( spl55_3248
| spl55_420 ),
inference(avatar_split_clause,[],[f181994,f10873,f84402]) ).
fof(f182975,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_9669 ),
inference(resolution,[],[f182131,f41079]) ).
fof(f182990,plain,
( ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| spl55_3297
| ~ spl55_9669 ),
inference(forward_subsumption_resolution,[],[f182975,f85596]) ).
fof(f182998,plain,
( $false
| spl55_3297
| ~ spl55_9669 ),
inference(forward_subsumption_resolution,[],[f182990,f7687]) ).
fof(f182999,plain,
( spl55_3297
| ~ spl55_9669 ),
inference(avatar_contradiction_clause,[],[f182998]) ).
fof(f183008,plain,
( spl55_231
| spl55_3273
| spl55_9669
| spl55_5610
| ~ spl55_5443
| ~ spl55_5776 ),
inference(avatar_split_clause,[],[f167647,f119830,f115373,f118756,f182130,f84516,f5966]) ).
fof(f183009,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| ~ rpoint(sK6)
| rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6)
| sK5 = sK6
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_3299 ),
inference(forward_subsumption_resolution,[],[f85801,f923]) ).
fof(f183011,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6)
| sK5 = sK6
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_3299 ),
inference(forward_subsumption_resolution,[],[f183009,f546]) ).
fof(f183013,definition,
( spl55_9686
<=> rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl55_9686])],[avatar_definition]) ).
fof(f183014,plain,
( rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6)
| ~ spl55_9686 ),
inference(avatar_component_clause,[],[f183013]) ).
fof(f183016,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_3299 ),
inference(forward_subsumption_resolution,[],[f183011,f912]) ).
fof(f183017,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),vd1295)
| rR(sK5,vskolem1052(sK5,sK5,sK6,sK6),sK6)
| ~ spl55_3299 ),
inference(forward_subsumption_resolution,[],[f183016,f7687]) ).
fof(f183018,plain,
( spl55_9686
| ~ spl55_3297
| spl55_231
| ~ spl55_3299 ),
inference(avatar_split_clause,[],[f183017,f85606,f5966,f85595,f183013]) ).
fof(f183149,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),vf(sK5,sK6))
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_9686 ),
inference(resolution,[],[f183014,f1248]) ).
fof(f183150,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),vf(sK5,sK6))
| ~ rpoint(sK5)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_9686 ),
inference(forward_subsumption_resolution,[],[f183149,f546]) ).
fof(f183157,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),vf(sK5,sK6))
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl55_9686 ),
inference(forward_subsumption_resolution,[],[f183150,f548]) ).
fof(f183163,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),vf(sK5,sK6))
| ~ spl55_9686 ),
inference(forward_subsumption_resolution,[],[f183157,f7687]) ).
fof(f183165,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),vf(sK6,sK4))
| ~ spl55_9686 ),
inference(forward_demodulation,[],[f183163,f2009]) ).
fof(f183167,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(vskolem1052(sK5,sK5,sK6,sK6),sK5),sK7(sK6,sK4))
| ~ spl55_9686 ),
inference(forward_demodulation,[],[f183165,f8220]) ).
fof(f183168,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(vf(sK6,sK4),sK7(sK6,sK4))
| ~ spl55_9686 ),
inference(forward_demodulation,[],[f183167,f7014]) ).
fof(f183169,plain,
( vf(vskolem1052(sK5,sK5,sK6,sK6),sK6) = vplus(sK7(sK6,sK4),sK7(sK6,sK4))
| ~ spl55_9686 ),
inference(forward_demodulation,[],[f183168,f8220]) ).
fof(f183170,plain,
( sK7(sK4,sK5) = vf(vskolem1052(sK5,sK5,sK6,sK6),sK6)
| ~ spl55_843
| ~ spl55_9686 ),
inference(forward_demodulation,[],[f183169,f147568]) ).
fof(f183171,plain,
( sK7(sK4,sK5) = sK7(sK6,sK4)
| ~ spl55_843
| ~ spl55_9686 ),
inference(forward_demodulation,[],[f183170,f15566]) ).
fof(f183172,plain,
( $false
| ~ spl55_843
| spl55_8316
| ~ spl55_9686 ),
inference(forward_subsumption_resolution,[],[f183171,f182011]) ).
fof(f183173,plain,
( ~ spl55_843
| spl55_8316
| ~ spl55_9686 ),
inference(avatar_contradiction_clause,[],[f183172]) ).
fof(f183891,plain,
! [X0] :
( vd1303 = sK4
| ~ ron(X0,vd1295)
| vd1303 = X0
| rR(vd1303,sK6,sK4)
| vangle(sK4,vd1303,sK6) = vangle(sK6,vd1303,X0)
| rR(vd1303,X0,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X0) ),
inference(resolution,[],[f45190,f917]) ).
fof(f183897,plain,
( ! [X0] :
( vd1303 = sK4
| ~ ron(X0,vd1295)
| vd1303 = X0
| vangle(sK4,vd1303,sK6) = vangle(sK6,vd1303,X0)
| rR(vd1303,X0,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X0) )
| spl55_89 ),
inference(forward_subsumption_resolution,[],[f183891,f42960]) ).
fof(f183901,plain,
( ! [X0] :
( vd1303 = sK4
| ~ ron(X0,vd1295)
| vd1303 = X0
| vangle(sK4,vd1303,sK6) = vangle(sK6,vd1303,X0)
| rR(vd1303,X0,sK6)
| ~ rpoint(X0) )
| spl55_89 ),
inference(forward_subsumption_resolution,[],[f183897,f550]) ).
fof(f183905,plain,
( ! [X0] :
( vd684 = vangle(sK6,vd1303,X0)
| vd1303 = sK4
| ~ ron(X0,vd1295)
| vd1303 = X0
| rR(vd1303,X0,sK6)
| ~ rpoint(X0) )
| ~ spl55_70
| spl55_89 ),
inference(forward_demodulation,[],[f183901,f2645]) ).
fof(f183908,definition,
( spl55_9709
<=> ! [X0] :
( vd684 = vangle(sK6,vd1303,X0)
| ~ rpoint(X0)
| rR(vd1303,X0,sK6)
| vd1303 = X0
| ~ ron(X0,vd1295) ) ),
introduced(definition,[new_symbols(definition,[spl55_9709])],[avatar_definition]) ).
fof(f183909,plain,
( ! [X0] :
( ~ ron(X0,vd1295)
| ~ rpoint(X0)
| rR(vd1303,X0,sK6)
| vd1303 = X0
| vd684 = vangle(sK6,vd1303,X0) )
| ~ spl55_9709 ),
inference(avatar_component_clause,[],[f183908]) ).
fof(f183912,plain,
( spl55_66
| spl55_9709
| ~ spl55_70
| spl55_89 ),
inference(avatar_split_clause,[],[f183905,f3028,f2644,f183908,f2619]) ).
fof(f183920,plain,
( ~ rpoint(sK5)
| rR(vd1303,sK5,sK6)
| vd1303 = sK5
| vd684 = vangle(sK6,vd1303,sK5)
| ~ spl55_9709 ),
inference(resolution,[],[f183909,f919]) ).
fof(f186070,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(sK4,X3))
| X0 = X1
| rR(X0,X1,X2)
| sK6 = X0
| sK4 = X0
| ~ ron(X1,sK8(sK4,X3))
| ~ ron(X0,sK8(sK4,X3))
| vangle(X1,X0,sK4) = vangle(X2,X0,sK6)
| rR(X0,sK4,sK6)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK4 = X3
| ~ rpoint(X3)
| X0 = X2 ),
inference(resolution,[],[f114756,f550]) ).
fof(f198927,plain,
( vf(sK6,sK4) != sK7(sK6,sK4)
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| sK15(sK4,sK6) = sK15(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(superposition,[],[f33081,f6636]) ).
fof(f198928,plain,
( sK7(sK4,sK5) != sK7(sK6,sK4)
| ~ rpoint(sK5)
| sK4 = sK5
| sK15(sK4,sK5) = sK15(sK4,sK6)
| spl55_21 ),
inference(superposition,[],[f33081,f8190]) ).
fof(f198931,plain,
( ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| sK15(sK4,sK6) = sK15(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f198927,f8220]) ).
fof(f198938,plain,
( sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| sK15(sK4,sK6) = sK15(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f198931,f3884]) ).
fof(f199030,definition,
( spl55_10216
<=> ! [X0] :
( ~ ron(X0,sK15(sK4,sK6))
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_10216])],[avatar_definition]) ).
fof(f199031,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK4,sK6))
| ~ rpoint(X0) )
| ~ spl55_10216 ),
inference(avatar_component_clause,[],[f199030]) ).
fof(f203257,plain,
( rR(sK5,vd1303,sK4)
| sK5 = sK6
| sK4 = sK5
| vd1303 = sK5
| vangle(vd1303,sK5,vd1303) = vangle(sK4,sK5,sK6)
| rR(sK5,vd1303,sK6)
| ~ rpoint(sK5)
| ~ spl55_5559 ),
inference(resolution,[],[f44884,f117961]) ).
fof(f226280,plain,
! [X2,X0,X1] :
( X0 = X1
| rR(X0,X1,sK4)
| sK6 = X0
| sK4 = X0
| ~ ron(X1,sK8(sK4,X2))
| ~ ron(X0,sK8(sK4,X2))
| vangle(X1,X0,sK4) = vangle(sK4,X0,sK6)
| rR(X0,sK4,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2)
| sK4 = X0
| sK4 = X2
| ~ rpoint(X2)
| ~ rpoint(sK4) ),
inference(resolution,[],[f186070,f1129]) ).
fof(f226317,plain,
! [X2,X0,X1] :
( X0 = X1
| rR(X0,X1,sK4)
| sK6 = X0
| sK4 = X0
| ~ ron(X1,sK8(sK4,X2))
| ~ ron(X0,sK8(sK4,X2))
| vangle(X1,X0,sK4) = vangle(sK4,X0,sK6)
| rR(X0,sK4,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f226280]) ).
fof(f226340,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(sK4,X2))
| rR(X0,X1,sK4)
| sK6 = X0
| sK4 = X0
| X0 = X1
| ~ ron(X0,sK8(sK4,X2))
| vangle(X1,X0,sK4) = vangle(sK4,X0,sK6)
| rR(X0,sK4,sK6)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK4 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f226317,f550]) ).
fof(f230398,plain,
! [X0,X1] :
( rR(X0,sK4,sK4)
| sK6 = X0
| sK4 = X0
| sK4 = X0
| ~ ron(X0,sK8(sK4,X1))
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X0)
| sK4 = X1
| ~ rpoint(X1)
| sK4 = X1
| ~ rpoint(X1)
| ~ rpoint(sK4) ),
inference(resolution,[],[f226340,f1129]) ).
fof(f230434,plain,
! [X0,X1] :
( rR(X0,sK4,sK4)
| sK6 = X0
| sK4 = X0
| ~ ron(X0,sK8(sK4,X1))
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(sK4)
| ~ rpoint(X0)
| sK4 = X1
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f230398]) ).
fof(f230454,plain,
! [X0,X1] :
( ~ ron(X0,sK8(sK4,X1))
| sK6 = X0
| sK4 = X0
| rR(X0,sK4,sK4)
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X0)
| sK4 = X1
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f230434,f550]) ).
fof(f230582,plain,
! [X0] :
( sK6 = X0
| sK4 = X0
| rR(X0,sK4,sK4)
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X0)
| sK4 = X0
| ~ rpoint(X0)
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(resolution,[],[f230454,f1127]) ).
fof(f230616,plain,
! [X0] :
( sK6 = X0
| sK4 = X0
| rR(X0,sK4,sK4)
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(duplicate_literal_removal,[],[f230582]) ).
fof(f230628,plain,
! [X0] :
( rR(X0,sK4,sK4)
| sK4 = X0
| sK6 = X0
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f230616,f550]) ).
fof(f230692,plain,
! [X0] :
( sK4 = X0
| sK6 = X0
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(X0) ),
inference(resolution,[],[f230628,f1731]) ).
fof(f230730,plain,
! [X0] :
( sK4 = X0
| sK6 = X0
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK4) ),
inference(duplicate_literal_removal,[],[f230692]) ).
fof(f230746,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vangle(sK4,X0,sK6) = vangle(sK4,X0,sK4)
| rR(X0,sK4,sK6)
| sK4 = X0 ),
inference(forward_subsumption_resolution,[],[f230730,f550]) ).
fof(f230800,plain,
( sK5 = sK6
| vangle(sK4,sK5,sK4) = vangle(sK4,sK5,sK6)
| rR(sK5,sK4,sK6)
| sK4 = sK5 ),
inference(resolution,[],[f230746,f548]) ).
fof(f230824,plain,
( vangle(sK4,sK5,sK4) = vangle(sK4,sK5,sK6)
| rR(sK5,sK4,sK6)
| sK4 = sK5 ),
inference(forward_subsumption_resolution,[],[f230800,f912]) ).
fof(f236473,definition,
( spl55_12072
<=> sK15(sK4,sK6) = sK15(sK4,vskolem1052(sK4,sK4,sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl55_12072])],[avatar_definition]) ).
fof(f236474,plain,
( sK15(sK4,sK6) = sK15(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| ~ spl55_12072 ),
inference(avatar_component_clause,[],[f236473]) ).
fof(f236475,plain,
( spl55_12072
| spl55_112
| spl55_21 ),
inference(avatar_split_clause,[],[f198938,f1812,f3956,f236473]) ).
fof(f269841,plain,
( ron(vskolem1052(sK4,sK4,sK6,sK6),sK15(sK4,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(sK4)
| ~ spl55_12072 ),
inference(superposition,[],[f1225,f236474]) ).
fof(f269850,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK4,sK6))
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(sK4)
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| vf(sK4,X0) = vf(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(X0) )
| ~ spl55_12072 ),
inference(superposition,[],[f2918,f236474]) ).
fof(f269890,plain,
( sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(sK4)
| ~ spl55_10216
| ~ spl55_12072 ),
inference(forward_subsumption_resolution,[],[f269841,f199031]) ).
fof(f269892,plain,
( sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(sK4)
| spl55_21
| ~ spl55_10216
| ~ spl55_12072 ),
inference(forward_subsumption_resolution,[],[f269890,f3884]) ).
fof(f269894,plain,
( sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| spl55_21
| ~ spl55_10216
| ~ spl55_12072 ),
inference(forward_subsumption_resolution,[],[f269892,f550]) ).
fof(f269896,plain,
( spl55_112
| spl55_21
| ~ spl55_10216
| ~ spl55_12072 ),
inference(avatar_split_clause,[],[f269894,f236473,f199030,f1812,f3956]) ).
fof(f269902,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK4,sK6))
| ~ rpoint(sK4)
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| vf(sK4,X0) = vf(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_12072 ),
inference(forward_subsumption_resolution,[],[f269850,f3884]) ).
fof(f269908,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK4,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| vf(sK4,X0) = vf(sK4,vskolem1052(sK4,sK4,sK6,sK6))
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_12072 ),
inference(forward_subsumption_resolution,[],[f269902,f550]) ).
fof(f269914,plain,
( ! [X0] :
( vf(sK6,sK4) = vf(sK4,X0)
| ~ ron(X0,sK15(sK4,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_12072 ),
inference(forward_demodulation,[],[f269908,f6636]) ).
fof(f269921,plain,
( ! [X0] :
( vf(sK4,X0) = sK7(sK6,sK4)
| ~ ron(X0,sK15(sK4,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_12072 ),
inference(forward_demodulation,[],[f269914,f8220]) ).
fof(f269923,plain,
( ! [X0] :
( ~ ron(X0,sK15(sK4,sK6))
| sK4 = vskolem1052(sK4,sK4,sK6,sK6)
| ~ rpoint(X0) )
| spl55_21
| ~ spl55_6065
| ~ spl55_12072 ),
inference(forward_subsumption_resolution,[],[f269921,f122285]) ).
fof(f269924,plain,
( spl55_112
| spl55_10216
| spl55_21
| ~ spl55_6065
| ~ spl55_12072 ),
inference(avatar_split_clause,[],[f269923,f236473,f122284,f1812,f199030,f3956]) ).
fof(f269925,plain,
( spl55_1404
| spl55_6065
| spl55_21 ),
inference(avatar_split_clause,[],[f39852,f1812,f122284,f39906]) ).
fof(f269983,plain,
( $false
| spl55_20
| spl55_21
| ~ spl55_652
| ~ spl55_843
| ~ spl55_849
| ~ spl55_1086
| ~ spl55_1404
| ~ spl55_2919 ),
inference(unit_resulting_resolution,[],[f113232,f550,f546,f546,f546,f548,f548,f912,f1813,f912,f21527,f29795,f29807,f22619,f145804,f39907]) ).
fof(f270048,plain,
( spl55_20
| spl55_21
| ~ spl55_652
| ~ spl55_843
| ~ spl55_849
| ~ spl55_1086
| ~ spl55_1404
| ~ spl55_2919 ),
inference(avatar_contradiction_clause,[],[f269983]) ).
fof(f270068,plain,
( ~ rpoint(sK5)
| sK4 = sK5
| sK15(sK4,sK5) = sK15(sK4,sK6)
| spl55_21
| ~ spl55_8316 ),
inference(forward_subsumption_resolution,[],[f198928,f168362]) ).
fof(f270072,plain,
( sK4 = sK5
| sK15(sK4,sK5) = sK15(sK4,sK6)
| spl55_21
| ~ spl55_8316 ),
inference(forward_subsumption_resolution,[],[f270068,f548]) ).
fof(f270073,plain,
( sK15(sK4,sK5) = sK15(sK4,sK6)
| spl55_21
| ~ spl55_8316 ),
inference(forward_subsumption_resolution,[],[f270072,f870]) ).
fof(f270074,plain,
( spl55_2919
| spl55_21
| ~ spl55_8316 ),
inference(avatar_split_clause,[],[f270073,f168361,f1812,f80390]) ).
fof(f270522,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ ron(sK6,sK8(sK4,X0))
| rR(sK6,sK4,sK5)
| sK4 = sK6
| ~ rpoint(sK5)
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f154119,f870]) ).
fof(f270576,plain,
( vd684 != vangle(sK6,sK5,sK4)
| ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK4)
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f151540,f870]) ).
fof(f270593,plain,
( ~ ron(sK6,sK8(sK4,sK5))
| rR(sK6,sK5,sK4)
| sK4 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl55_21
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f154118,f870]) ).
fof(f270607,plain,
( ! [X0] :
( ~ rR(sK6,sK4,vd1329)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl55_21
| ~ spl55_717 ),
inference(forward_subsumption_resolution,[],[f42994,f21300]) ).
fof(f271022,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ ron(sK6,sK8(sK4,X0))
| sK4 = sK6
| ~ rpoint(sK5)
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| spl55_843
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f270522,f114595]) ).
fof(f271058,plain,
( vd684 != vangle(sK6,sK5,sK4)
| ron(sK6,sK8(sK4,sK5))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f270576,f550]) ).
fof(f271063,plain,
( ~ ron(sK6,sK8(sK4,sK5))
| sK4 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl55_21
| spl55_775
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f270593,f115524]) ).
fof(f271344,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ ron(sK6,sK8(sK4,X0))
| ~ rpoint(sK5)
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| spl55_843
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271022,f1813]) ).
fof(f271374,plain,
( ~ ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl55_21
| spl55_775
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271063,f1813]) ).
fof(f271565,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ ron(sK6,sK8(sK4,X0))
| sK4 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl55_21
| spl55_843
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271344,f548]) ).
fof(f271589,plain,
( ~ ron(sK6,sK8(sK4,sK5))
| ~ rpoint(sK6)
| spl55_21
| spl55_775
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271374,f548]) ).
fof(f271721,plain,
( ! [X0] :
( ~ ron(sK5,sK8(sK4,X0))
| ~ ron(sK6,sK8(sK4,X0))
| sK4 = X0
| ~ rpoint(X0) )
| spl55_21
| spl55_843
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271565,f546]) ).
fof(f271736,plain,
( ~ ron(sK6,sK8(sK4,sK5))
| spl55_21
| spl55_775
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271589,f546]) ).
fof(f271830,plain,
( spl55_5447
| spl55_21
| spl55_843
| ~ spl55_6171 ),
inference(avatar_split_clause,[],[f271721,f123205,f21341,f1812,f115479]) ).
fof(f271835,plain,
( ~ ron(sK6,vd1295)
| spl55_21
| spl55_775
| ~ spl55_5465
| ~ spl55_6171 ),
inference(forward_demodulation,[],[f271736,f115691]) ).
fof(f271884,plain,
( $false
| spl55_21
| spl55_775
| ~ spl55_5465
| ~ spl55_6171 ),
inference(forward_subsumption_resolution,[],[f271835,f923]) ).
fof(f271885,plain,
( spl55_21
| spl55_775
| ~ spl55_5465
| ~ spl55_6171 ),
inference(avatar_contradiction_clause,[],[f271884]) ).
fof(f272549,plain,
( spl55_1464
| ~ spl55_6097
| spl55_21
| ~ spl55_717 ),
inference(avatar_split_clause,[],[f270607,f18570,f1812,f122697,f43856]) ).
fof(f286640,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| sK4 = sK5
| ron(sK6,sK8(sK4,sK5))
| ~ spl55_778 ),
inference(resolution,[],[f19949,f29294]) ).
fof(f286675,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| sK4 = sK5
| ~ spl55_149
| ~ spl55_778
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f286640,f132910]) ).
fof(f286681,plain,
( ~ rpoint(sK5)
| sK4 = sK5
| ~ spl55_149
| ~ spl55_778
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f286675,f546]) ).
fof(f286684,plain,
( sK4 = sK5
| ~ spl55_149
| ~ spl55_778
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f286681,f548]) ).
fof(f286686,plain,
( $false
| ~ spl55_149
| ~ spl55_778
| ~ spl55_5447
| ~ spl55_6098 ),
inference(forward_subsumption_resolution,[],[f286684,f870]) ).
fof(f286687,plain,
( ~ spl55_149
| ~ spl55_778
| ~ spl55_5447
| ~ spl55_6098 ),
inference(avatar_contradiction_clause,[],[f286686]) ).
fof(f286914,plain,
( $false
| ~ spl55_53
| spl55_842
| ~ spl55_5414 ),
inference(forward_subsumption_resolution,[],[f149496,f21524]) ).
fof(f286915,plain,
( ~ spl55_53
| spl55_842
| ~ spl55_5414 ),
inference(avatar_contradiction_clause,[],[f286914]) ).
fof(f286927,plain,
( rR(vd1303,sK5,sK6)
| vd1303 = sK5
| vd684 = vangle(sK6,vd1303,sK5)
| ~ spl55_9709 ),
inference(forward_subsumption_resolution,[],[f183920,f548]) ).
fof(f287045,plain,
( vangle(sK4,sK5,sK4) = vangle(sK4,sK5,sK6)
| sK4 = sK5
| spl55_778 ),
inference(forward_subsumption_resolution,[],[f230824,f76431]) ).
fof(f287686,plain,
( vd1303 = sK5
| vd684 = vangle(sK6,vd1303,sK5)
| spl55_860
| ~ spl55_9709 ),
inference(forward_subsumption_resolution,[],[f286927,f43022]) ).
fof(f287754,plain,
( vangle(sK4,sK5,sK4) = vangle(sK4,sK5,sK6)
| spl55_778 ),
inference(forward_subsumption_resolution,[],[f287045,f870]) ).
fof(f288257,plain,
( vd1303 = sK5
| spl55_842
| spl55_860
| ~ spl55_9709 ),
inference(forward_subsumption_resolution,[],[f287686,f21524]) ).
fof(f288291,plain,
( vangle(sK6,sK5,sK4) = vangle(sK4,sK5,sK4)
| spl55_21
| spl55_778 ),
inference(forward_demodulation,[],[f287754,f13623]) ).
fof(f288652,plain,
( spl55_50
| spl55_842
| spl55_860
| ~ spl55_9709 ),
inference(avatar_split_clause,[],[f288257,f183908,f22273,f21337,f2230]) ).
fof(f288677,plain,
( vd684 = vangle(sK6,sK5,sK4)
| spl55_21
| spl55_778 ),
inference(forward_demodulation,[],[f288291,f3302]) ).
fof(f293258,plain,
( ~ spl55_861
| ~ spl55_860 ),
inference(avatar_split_clause,[],[f22328,f22273,f22277]) ).
fof(f293591,plain,
( sK5 = sK6
| sK4 = sK5
| vd1303 = sK5
| vangle(vd1303,sK5,vd1303) = vangle(sK4,sK5,sK6)
| rR(sK5,vd1303,sK6)
| ~ rpoint(sK5)
| spl55_955
| ~ spl55_5559 ),
inference(forward_subsumption_resolution,[],[f203257,f43002]) ).
fof(f293662,plain,
( spl55_5994
| spl55_21
| spl55_778 ),
inference(avatar_split_clause,[],[f288677,f19948,f1812,f121654]) ).
fof(f293698,plain,
( vd684 != vangle(sK6,sK5,sK4)
| spl55_21
| spl55_5464 ),
inference(forward_subsumption_resolution,[],[f271058,f115688]) ).
fof(f293941,plain,
( sK4 = sK5
| vd1303 = sK5
| vangle(vd1303,sK5,vd1303) = vangle(sK4,sK5,sK6)
| rR(sK5,vd1303,sK6)
| ~ rpoint(sK5)
| spl55_955
| ~ spl55_5559 ),
inference(forward_subsumption_resolution,[],[f293591,f912]) ).
fof(f294024,plain,
( ~ spl55_5994
| spl55_21
| spl55_5464 ),
inference(avatar_split_clause,[],[f293698,f115687,f1812,f121654]) ).
fof(f294201,plain,
( vd1303 = sK5
| vangle(vd1303,sK5,vd1303) = vangle(sK4,sK5,sK6)
| rR(sK5,vd1303,sK6)
| ~ rpoint(sK5)
| spl55_955
| ~ spl55_5559 ),
inference(forward_subsumption_resolution,[],[f293941,f870]) ).
fof(f294378,plain,
( vd1303 = sK5
| vangle(vd1303,sK5,vd1303) = vangle(sK4,sK5,sK6)
| ~ rpoint(sK5)
| spl55_861
| spl55_955
| ~ spl55_5559 ),
inference(forward_subsumption_resolution,[],[f294201,f43024]) ).
fof(f294502,plain,
( vd1303 = sK5
| vangle(vd1303,sK5,vd1303) = vangle(sK4,sK5,sK6)
| spl55_861
| spl55_955
| ~ spl55_5559 ),
inference(forward_subsumption_resolution,[],[f294378,f548]) ).
fof(f294584,plain,
( vangle(sK6,sK5,sK4) = vangle(vd1303,sK5,vd1303)
| vd1303 = sK5
| spl55_21
| spl55_861
| spl55_955
| ~ spl55_5559 ),
inference(forward_demodulation,[],[f294502,f13623]) ).
fof(f294633,plain,
( vd684 = vangle(sK6,sK5,sK4)
| vd1303 = sK5
| spl55_21
| ~ spl55_184
| spl55_861
| spl55_955
| ~ spl55_5559 ),
inference(forward_demodulation,[],[f294584,f5599]) ).
fof(f294663,plain,
( spl55_50
| spl55_5994
| spl55_21
| ~ spl55_184
| spl55_861
| spl55_955
| ~ spl55_5559 ),
inference(avatar_split_clause,[],[f294633,f117960,f26235,f22277,f5598,f1812,f121654,f2230]) ).
fof(f295310,plain,
( spl55_775
| spl55_21
| spl55_717
| ~ spl55_893
| ~ spl55_1121 ),
inference(avatar_split_clause,[],[f117405,f30303,f23790,f18570,f1812,f19938]) ).
fof(f295397,plain,
( spl55_779
| spl55_21
| ~ spl55_44
| spl55_777
| ~ spl55_1451 ),
inference(avatar_split_clause,[],[f149546,f43366,f19944,f2120,f1812,f19952]) ).
fof(f295566,plain,
( spl55_959
| ~ spl55_842
| ~ spl55_6410 ),
inference(avatar_split_clause,[],[f130295,f128100,f21337,f26339]) ).
fof(f296143,plain,
( rR(sK6,vd1300,vd1300)
| ~ spl55_58
| ~ spl55_5777 ),
inference(forward_demodulation,[],[f119834,f2417]) ).
fof(f297763,plain,
( spl55_77
| ~ spl55_58
| ~ spl55_5777 ),
inference(avatar_split_clause,[],[f296143,f119833,f2416,f2831]) ).
cnf(s40,plain,
~ spl55_21,
inference(sat_conversion,[],[f1874]) ).
cnf(s48,plain,
( spl55_36
| ~ spl55_47 ),
inference(sat_conversion,[],[f2146]) ).
cnf(s50,plain,
( ~ spl55_20
| spl55_46 ),
inference(sat_conversion,[],[f2156]) ).
cnf(s59,plain,
~ spl55_43,
inference(sat_conversion,[],[f2211]) ).
cnf(s62,plain,
( ~ spl55_36
| spl55_50 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s63,plain,
( spl55_53
| spl55_54 ),
inference(sat_conversion,[],[f2301]) ).
cnf(s69,plain,
( ~ spl55_36
| ~ spl55_50 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s70,plain,
( spl55_47
| ~ spl55_50 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s83,plain,
~ spl55_46,
inference(sat_conversion,[],[f2554]) ).
cnf(s95,plain,
( spl55_66
| spl55_70
| spl55_71 ),
inference(sat_conversion,[],[f2649]) ).
cnf(s101,plain,
~ spl55_66,
inference(sat_conversion,[],[f2693]) ).
cnf(s112,plain,
( spl55_20
| spl55_61
| spl55_86
| spl55_87 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s116,plain,
( spl55_66
| spl55_88
| spl55_89 ),
inference(sat_conversion,[],[f3030]) ).
cnf(s164,plain,
( spl55_21
| ~ spl55_110 ),
inference(sat_conversion,[],[f4222]) ).
cnf(s222,plain,
( spl55_50
| spl55_184 ),
inference(sat_conversion,[],[f5600]) ).
cnf(s467,plain,
( spl55_66
| spl55_378 ),
inference(sat_conversion,[],[f9653]) ).
cnf(s470,plain,
( spl55_21
| spl55_66
| spl55_380 ),
inference(sat_conversion,[],[f9690]) ).
cnf(s483,plain,
~ spl55_61,
inference(sat_conversion,[],[f10323]) ).
cnf(s718,plain,
( spl55_21
| ~ spl55_112 ),
inference(sat_conversion,[],[f14829]) ).
cnf(s769,plain,
~ spl55_420,
inference(sat_conversion,[],[f15415]) ).
cnf(s773,plain,
( spl55_231
| spl55_611 ),
inference(sat_conversion,[],[f15442]) ).
cnf(s819,plain,
( spl55_20
| spl55_61
| ~ spl55_86
| spl55_651 ),
inference(sat_conversion,[],[f16721]) ).
cnf(s863,plain,
~ spl55_62,
inference(sat_conversion,[],[f18255]) ).
cnf(s989,plain,
( spl55_62
| ~ spl55_87 ),
inference(sat_conversion,[],[f19682]) ).
cnf(s1085,plain,
( spl55_66
| ~ spl55_88
| spl55_844 ),
inference(sat_conversion,[],[f21367]) ).
cnf(s1106,plain,
~ spl55_22,
inference(sat_conversion,[],[f21889]) ).
cnf(s1112,plain,
( spl55_71
| ~ spl55_89 ),
inference(sat_conversion,[],[f22053]) ).
cnf(s1119,plain,
~ spl55_71,
inference(sat_conversion,[],[f22094]) ).
cnf(s1122,plain,
( spl55_657
| ~ spl55_858 ),
inference(sat_conversion,[],[f22304]) ).
cnf(s1139,plain,
( ~ spl55_777
| ~ spl55_843 ),
inference(sat_conversion,[],[f22624]) ).
cnf(s1152,plain,
( ~ spl55_775
| spl55_843 ),
inference(sat_conversion,[],[f22765]) ).
cnf(s1458,plain,
( spl55_66
| spl55_1105 ),
inference(sat_conversion,[],[f30169]) ).
cnf(s1469,plain,
( spl55_66
| ~ spl55_1105
| spl55_1116 ),
inference(sat_conversion,[],[f30285]) ).
cnf(s1474,plain,
( spl55_21
| spl55_66
| ~ spl55_1105
| spl55_1121 ),
inference(sat_conversion,[],[f30305]) ).
cnf(s1476,plain,
spl55_1086,
inference(sat_conversion,[],[f30360]) ).
cnf(s1747,plain,
( spl55_20
| spl55_22
| spl55_61
| ~ spl55_651
| spl55_652 ),
inference(sat_conversion,[],[f36622]) ).
cnf(s1910,plain,
( spl55_21
| ~ spl55_383
| ~ spl55_384
| spl55_1444 ),
inference(sat_conversion,[],[f42999]) ).
cnf(s1930,plain,
( spl55_21
| spl55_43
| spl55_1451 ),
inference(sat_conversion,[],[f43368]) ).
cnf(s1998,plain,
~ spl55_77,
inference(sat_conversion,[],[f43924]) ).
cnf(s2248,plain,
( spl55_861
| ~ spl55_955 ),
inference(sat_conversion,[],[f48173]) ).
cnf(s2400,plain,
~ spl55_54,
inference(sat_conversion,[],[f53458]) ).
cnf(s3674,plain,
( spl55_66
| spl55_89
| spl55_2626 ),
inference(sat_conversion,[],[f77015]) ).
cnf(s4314,plain,
~ spl55_231,
inference(sat_conversion,[],[f84122]) ).
cnf(s4479,plain,
( spl55_420
| ~ spl55_3248
| spl55_3299 ),
inference(sat_conversion,[],[f85608]) ).
cnf(s4572,plain,
( spl55_21
| spl55_231
| ~ spl55_779
| ~ spl55_3273
| spl55_3297 ),
inference(sat_conversion,[],[f86849]) ).
cnf(s4700,plain,
~ spl55_1464,
inference(sat_conversion,[],[f88099]) ).
cnf(s7019,plain,
( spl55_21
| ~ spl55_55
| spl55_5400 ),
inference(sat_conversion,[],[f113764]) ).
cnf(s7026,plain,
( spl55_66
| spl55_384
| ~ spl55_1105
| ~ spl55_5400 ),
inference(sat_conversion,[],[f113807]) ).
cnf(s7060,plain,
( ~ spl55_775
| spl55_858 ),
inference(sat_conversion,[],[f114175]) ).
cnf(s7156,plain,
( spl55_20
| spl55_5443
| spl55_5444 ),
inference(sat_conversion,[],[f115378]) ).
cnf(s7181,plain,
( spl55_20
| ~ spl55_652
| spl55_1443
| ~ spl55_5444 ),
inference(sat_conversion,[],[f115510]) ).
cnf(s7183,plain,
( spl55_21
| ~ spl55_717
| ~ spl55_843
| spl55_1464 ),
inference(sat_conversion,[],[f115516]) ).
cnf(s7239,plain,
( ~ spl55_5464
| spl55_5465 ),
inference(sat_conversion,[],[f115835]) ).
cnf(s7538,plain,
( spl55_21
| spl55_43
| spl55_44
| ~ spl55_844 ),
inference(sat_conversion,[],[f117722]) ).
cnf(s7590,plain,
( ~ spl55_860
| spl55_5559 ),
inference(sat_conversion,[],[f117974]) ).
cnf(s7716,plain,
( spl55_21
| ~ spl55_380
| spl55_383 ),
inference(sat_conversion,[],[f118540]) ).
cnf(s7768,plain,
( spl55_20
| spl55_5639
| spl55_5640 ),
inference(sat_conversion,[],[f119013]) ).
cnf(s7899,plain,
( spl55_20
| spl55_5776
| spl55_5777 ),
inference(sat_conversion,[],[f119835]) ).
cnf(s8165,plain,
( spl55_55
| spl55_5595
| spl55_6010 ),
inference(sat_conversion,[],[f121799]) ).
cnf(s8329,plain,
( spl55_21
| spl55_36
| ~ spl55_842
| spl55_6096
| spl55_6097
| spl55_6098 ),
inference(sat_conversion,[],[f122703]) ).
cnf(s8352,plain,
( spl55_55
| spl55_64
| spl55_149
| spl55_5595 ),
inference(sat_conversion,[],[f122821]) ).
cnf(s8425,plain,
( spl55_6024
| spl55_6171 ),
inference(sat_conversion,[],[f123207]) ).
cnf(s8587,plain,
( spl55_36
| ~ spl55_842
| ~ spl55_6159
| spl55_6248 ),
inference(sat_conversion,[],[f124151]) ).
cnf(s8612,plain,
( spl55_55
| ~ spl55_63
| ~ spl55_64
| spl55_6267 ),
inference(sat_conversion,[],[f124272]) ).
cnf(s8815,plain,
( spl55_50
| ~ spl55_842
| spl55_893
| ~ spl55_1116 ),
inference(sat_conversion,[],[f125378]) ).
cnf(s9012,plain,
( spl55_50
| ~ spl55_378
| ~ spl55_2626
| spl55_6410 ),
inference(sat_conversion,[],[f128102]) ).
cnf(s9253,plain,
~ spl55_5595,
inference(sat_conversion,[],[f131711]) ).
cnf(s9255,plain,
( ~ spl55_775
| spl55_849 ),
inference(sat_conversion,[],[f131842]) ).
cnf(s9286,plain,
~ spl55_1444,
inference(sat_conversion,[],[f132067]) ).
cnf(s9325,plain,
~ spl55_82,
inference(sat_conversion,[],[f132217]) ).
cnf(s9327,plain,
~ spl55_1443,
inference(sat_conversion,[],[f132245]) ).
cnf(s9338,plain,
~ spl55_6248,
inference(sat_conversion,[],[f132807]) ).
cnf(s9340,plain,
( ~ spl55_6096
| spl55_6159 ),
inference(sat_conversion,[],[f132829]) ).
cnf(s9350,plain,
( spl55_36
| spl55_55
| spl55_63
| spl55_82
| ~ spl55_959
| spl55_6159 ),
inference(sat_conversion,[],[f132928]) ).
cnf(s9899,plain,
~ spl55_6267,
inference(sat_conversion,[],[f142930]) ).
cnf(s10243,plain,
( spl55_231
| ~ spl55_611
| ~ spl55_5610
| ~ spl55_6010 ),
inference(sat_conversion,[],[f147873]) ).
cnf(s10374,plain,
( spl55_50
| ~ spl55_657
| spl55_5414 ),
inference(sat_conversion,[],[f149002]) ).
cnf(s10812,plain,
( spl55_21
| spl55_110
| spl55_7522 ),
inference(sat_conversion,[],[f153843]) ).
cnf(s10831,plain,
( spl55_21
| spl55_110
| ~ spl55_6024
| ~ spl55_7522 ),
inference(sat_conversion,[],[f154237]) ).
cnf(s11639,plain,
( spl55_58
| ~ spl55_5639
| spl55_5776 ),
inference(sat_conversion,[],[f167288]) ).
cnf(s11665,plain,
~ spl55_5640,
inference(sat_conversion,[],[f167376]) ).
cnf(s13068,plain,
( spl55_420
| spl55_3248 ),
inference(sat_conversion,[],[f182159]) ).
cnf(s13113,plain,
( spl55_3297
| ~ spl55_9669 ),
inference(sat_conversion,[],[f182999]) ).
cnf(s13115,plain,
( spl55_231
| spl55_3273
| ~ spl55_5443
| spl55_5610
| ~ spl55_5776
| spl55_9669 ),
inference(sat_conversion,[],[f183008]) ).
cnf(s13117,plain,
( spl55_231
| ~ spl55_3297
| ~ spl55_3299
| spl55_9686 ),
inference(sat_conversion,[],[f183018]) ).
cnf(s13120,plain,
( ~ spl55_843
| spl55_8316
| ~ spl55_9686 ),
inference(sat_conversion,[],[f183173]) ).
cnf(s13171,plain,
( spl55_66
| ~ spl55_70
| spl55_89
| spl55_9709 ),
inference(sat_conversion,[],[f183912]) ).
cnf(s16678,plain,
( spl55_21
| spl55_112
| spl55_12072 ),
inference(sat_conversion,[],[f236475]) ).
cnf(s19665,plain,
( spl55_21
| spl55_112
| ~ spl55_10216
| ~ spl55_12072 ),
inference(sat_conversion,[],[f269896]) ).
cnf(s19667,plain,
( spl55_21
| spl55_112
| ~ spl55_6065
| spl55_10216
| ~ spl55_12072 ),
inference(sat_conversion,[],[f269924]) ).
cnf(s19668,plain,
( spl55_21
| spl55_1404
| spl55_6065 ),
inference(sat_conversion,[],[f269925]) ).
cnf(s19703,plain,
( spl55_20
| spl55_21
| ~ spl55_652
| ~ spl55_843
| ~ spl55_849
| ~ spl55_1086
| ~ spl55_1404
| ~ spl55_2919 ),
inference(sat_conversion,[],[f270048]) ).
cnf(s19721,plain,
( spl55_21
| spl55_2919
| ~ spl55_8316 ),
inference(sat_conversion,[],[f270074]) ).
cnf(s19904,plain,
( spl55_21
| spl55_843
| spl55_5447
| ~ spl55_6171 ),
inference(sat_conversion,[],[f271830]) ).
cnf(s19925,plain,
( spl55_21
| spl55_775
| ~ spl55_5465
| ~ spl55_6171 ),
inference(sat_conversion,[],[f271885]) ).
cnf(s20017,plain,
( spl55_21
| ~ spl55_717
| spl55_1464
| ~ spl55_6097 ),
inference(sat_conversion,[],[f272549]) ).
cnf(s20667,plain,
( ~ spl55_149
| ~ spl55_778
| ~ spl55_5447
| ~ spl55_6098 ),
inference(sat_conversion,[],[f286687]) ).
cnf(s20694,plain,
( ~ spl55_53
| spl55_842
| ~ spl55_5414 ),
inference(sat_conversion,[],[f286915]) ).
cnf(s20833,plain,
( spl55_50
| spl55_842
| spl55_860
| ~ spl55_9709 ),
inference(sat_conversion,[],[f288652]) ).
cnf(s21271,plain,
( ~ spl55_860
| ~ spl55_861 ),
inference(sat_conversion,[],[f293258]) ).
cnf(s21315,plain,
( spl55_21
| spl55_778
| spl55_5994 ),
inference(sat_conversion,[],[f293662]) ).
cnf(s21350,plain,
( spl55_21
| spl55_5464
| ~ spl55_5994 ),
inference(sat_conversion,[],[f294024]) ).
cnf(s21485,plain,
( spl55_21
| spl55_50
| ~ spl55_184
| spl55_861
| spl55_955
| ~ spl55_5559
| spl55_5994 ),
inference(sat_conversion,[],[f294663]) ).
cnf(s21585,plain,
( spl55_21
| spl55_717
| spl55_775
| ~ spl55_893
| ~ spl55_1121 ),
inference(sat_conversion,[],[f295310]) ).
cnf(s21610,plain,
( spl55_21
| ~ spl55_44
| spl55_777
| spl55_779
| ~ spl55_1451 ),
inference(sat_conversion,[],[f295397]) ).
cnf(s21661,plain,
( ~ spl55_842
| spl55_959
| ~ spl55_6410 ),
inference(sat_conversion,[],[f295566]) ).
cnf(s21736,plain,
( ~ spl55_58
| spl55_77
| ~ spl55_5777 ),
inference(sat_conversion,[],[f297763]) ).
cnf(s22256,plain,
( spl55_55
| ~ spl55_63
| ~ spl55_64 ),
inference(rat,[],[s8612,s9899]) ).
cnf(s22258,plain,
( spl55_36
| ~ spl55_842
| ~ spl55_6159 ),
inference(rat,[],[s8587,s9338]) ).
cnf(s22280,plain,
( spl55_55
| spl55_64
| spl55_149 ),
inference(rat,[],[s8352,s9253]) ).
cnf(s22288,plain,
( spl55_55
| spl55_6010 ),
inference(rat,[],[s8165,s9253]) ).
cnf(s22297,plain,
( spl55_20
| spl55_5639 ),
inference(rat,[],[s7768,s11665]) ).
cnf(s22331,plain,
( spl55_20
| ~ spl55_652
| ~ spl55_5444 ),
inference(rat,[],[s7181,s9327]) ).
cnf(s22746,plain,
( spl55_21
| ~ spl55_383
| ~ spl55_384 ),
inference(rat,[],[s1910,s9286]) ).
cnf(s22755,plain,
~ spl55_89,
inference(rat,[],[s1112,s1119]) ).
cnf(s22765,plain,
~ spl55_87,
inference(rat,[],[s989,s863]) ).
cnf(s22776,plain,
spl55_611,
inference(rat,[],[s773,s4314]) ).
cnf(s22781,plain,
spl55_3248,
inference(rat,[],[s13068,s769]) ).
cnf(s22828,plain,
spl55_3299,
inference(rat,[],[s4479,s769,s22781]) ).
cnf(s23251,plain,
( spl55_66
| spl55_88 ),
inference(rat,[],[s116,s22755]) ).
cnf(s23252,plain,
( spl55_20
| spl55_86 ),
inference(rat,[],[s112,s22765,s483]) ).
cnf(s23266,plain,
spl55_2626,
inference(rat,[],[s3674,s22755,s101]) ).
cnf(s23297,plain,
spl55_1105,
inference(rat,[],[s1458,s101]) ).
cnf(s23305,plain,
spl55_378,
inference(rat,[],[s467,s101]) ).
cnf(s23317,plain,
spl55_88,
inference(rat,[],[s23251,s101]) ).
cnf(s23335,plain,
spl55_1116,
inference(rat,[],[s1469,s101,s23297]) ).
cnf(s23348,plain,
spl55_844,
inference(rat,[],[s1085,s101,s23317]) ).
cnf(s23398,plain,
spl55_70,
inference(rat,[],[s95,s1119,s101]) ).
cnf(s23399,plain,
spl55_9709,
inference(rat,[],[s13171,s101,s22755,s23398]) ).
cnf(s23487,plain,
spl55_53,
inference(rat,[],[s63,s2400]) ).
cnf(s23488,plain,
~ spl55_20,
inference(rat,[],[s50,s83]) ).
cnf(s23509,plain,
spl55_5639,
inference(rat,[],[s22297,s23488]) ).
cnf(s23525,plain,
spl55_86,
inference(rat,[],[s23252,s23488]) ).
cnf(s23530,plain,
spl55_651,
inference(rat,[],[s819,s23488,s483,s23525]) ).
cnf(s23536,plain,
spl55_652,
inference(rat,[],[s1747,s23488,s483,s1106,s23530]) ).
cnf(s23544,plain,
~ spl55_5444,
inference(rat,[],[s22331,s23488,s23536]) ).
cnf(s23547,plain,
spl55_5443,
inference(rat,[],[s7156,s23488,s23544]) ).
cnf(s23595,plain,
spl55_44,
inference(rat,[],[s7538,s23348,s59,s40]) ).
cnf(s23601,plain,
spl55_1451,
inference(rat,[],[s1930,s59,s40]) ).
cnf(s23604,plain,
spl55_1121,
inference(rat,[],[s1474,s23297,s101,s40]) ).
cnf(s23615,plain,
~ spl55_112,
inference(rat,[],[s718,s40]) ).
cnf(s23616,plain,
spl55_380,
inference(rat,[],[s470,s101,s40]) ).
cnf(s23621,plain,
~ spl55_110,
inference(rat,[],[s164,s40]) ).
cnf(s23717,plain,
spl55_12072,
inference(rat,[],[s16678,s40,s23615]) ).
cnf(s23756,plain,
spl55_383,
inference(rat,[],[s7716,s40,s23616]) ).
cnf(s23798,plain,
spl55_7522,
inference(rat,[],[s10812,s40,s23621]) ).
cnf(s23841,plain,
~ spl55_10216,
inference(rat,[],[s19665,s23615,s40,s23717]) ).
cnf(s23842,plain,
~ spl55_384,
inference(rat,[],[s22746,s40,s23756]) ).
cnf(s23853,plain,
~ spl55_6024,
inference(rat,[],[s10831,s23621,s40,s23798]) ).
cnf(s23854,plain,
~ spl55_6065,
inference(rat,[],[s19667,s23717,s23615,s40,s23841]) ).
cnf(s23859,plain,
~ spl55_5400,
inference(rat,[],[s7026,s23297,s101,s23842]) ).
cnf(s23865,plain,
spl55_6171,
inference(rat,[],[s8425,s23853]) ).
cnf(s23867,plain,
spl55_1404,
inference(rat,[],[s19668,s40,s23854]) ).
cnf(s23868,plain,
~ spl55_55,
inference(rat,[],[s7019,s40,s23859]) ).
cnf(s23905,plain,
spl55_6010,
inference(rat,[],[s22288,s23868]) ).
cnf(s23987,plain,
~ spl55_5610,
inference(rat,[],[s10243,s22776,s4314,s23905]) ).
cnf(s24584,plain,
( ~ spl55_842
| spl55_63
| spl55_36 ),
inference(rat,[],[s9350,s22258,s21661,s9012,s70,s48,s23868,s9325,s23305,s23266]) ).
cnf(s24585,plain,
( spl55_842
| spl55_50 ),
inference(rat,[],[s7239,s19925,s21350,s7060,s21485,s1122,s2248,s10374,s7590,s21271,s20694,s20833,s222,s40,s23865,s23487,s23399]) ).
cnf(s24586,plain,
( spl55_775
| spl55_36 ),
inference(rat,[],[s20667,s21315,s19904,s8329,s21350,s7183,s20017,s7239,s21585,s19925,s8815,s9340,s22258,s22280,s22256,s24584,s24585,s70,s48,s40,s23865,s4700,s23604,s23868,s23335]) ).
cnf(s24587,plain,
spl55_5776,
inference(rat,[],[s21736,s11639,s7899,s1998,s23509,s23488]) ).
cnf(s24595,plain,
~ spl55_36,
inference(rat,[],[s62,s69]) ).
cnf(s24663,plain,
spl55_775,
inference(rat,[],[s24586,s24595]) ).
cnf(s24678,plain,
spl55_849,
inference(rat,[],[s9255,s24663]) ).
cnf(s24684,plain,
spl55_843,
inference(rat,[],[s1152,s24663]) ).
cnf(s24811,plain,
~ spl55_777,
inference(rat,[],[s1139,s24684]) ).
cnf(s24817,plain,
~ spl55_2919,
inference(rat,[],[s19703,s24678,s23867,s1476,s40,s23536,s23488,s24684]) ).
cnf(s24869,plain,
spl55_779,
inference(rat,[],[s21610,s23601,s23595,s40,s24811]) ).
cnf(s24870,plain,
~ spl55_8316,
inference(rat,[],[s19721,s40,s24817]) ).
cnf(s25208,plain,
~ spl55_9686,
inference(rat,[],[s13120,s24684,s24870]) ).
cnf(s25571,plain,
~ spl55_3297,
inference(rat,[],[s13117,s22828,s4314,s25208]) ).
cnf(s25944,plain,
~ spl55_9669,
inference(rat,[],[s13113,s25571]) ).
cnf(s25948,plain,
~ spl55_3273,
inference(rat,[],[s4572,s24869,s40,s4314,s25571]) ).
cnf(s26153,plain,
$false,
inference(rat,[],[s13115,s24587,s23987,s23547,s4314,s25948,s25944]) ).
fof(f301675,plain,
$false,
inference(avatar_sat_refutation,[],[s26153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO326+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:05:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.79/2.88 % (1709227)Detected formulas, will run a generic FOF schedule.
% 12.79/2.88 % (1709233)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=980243540:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.79/2.88 % (1709235)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=456639566:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.79/2.88 % (1709232)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3084469312:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.79/2.88 % (1709238)dis-21_1_sil=8000:lcm=predicate:random_seed=2281225034:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.79/2.88 % (1709234)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1772855475:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.79/2.88 % (1709236)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1618872712:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.79/2.88 % (1709237)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4045341805:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.79/2.88 % (1709235)Refutation not found, incomplete strategy
% 12.79/2.88 % (1709235)------------------------------
% 12.79/2.88 % (1709235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.88 % (1709235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.88 % (1709235)CaDiCaL version: 2.1.3
% 12.79/2.88 % (1709235)Termination reason: Refutation not found, incomplete strategy
% 12.79/2.88 % (1709235)Time elapsed: 0.003 s
% 12.79/2.88 % (1709235)Peak memory usage: 88 MB
% 12.79/2.88 % (1709235)Instructions burned: 2 (million)
% 12.79/2.88 % (1709236)Instruction limit reached!
% 12.79/2.88 % (1709236)------------------------------
% 12.79/2.88 % (1709236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.88 % (1709236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.88 % (1709236)CaDiCaL version: 2.1.3
% 12.79/2.88 % (1709236)Termination reason: Instruction limit
% 12.79/2.88 % (1709236)Termination phase: Saturation
% 12.79/2.88 % (1709236)Time elapsed: 0.055 s
% 12.79/2.88 % (1709236)Peak memory usage: 88 MB
% 12.79/2.88 % (1709236)Instructions burned: 120 (million)
% 12.79/2.88 % (1709238)Instruction limit reached!
% 12.79/2.88 % (1709238)------------------------------
% 12.79/2.88 % (1709238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.88 % (1709238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.88 % (1709238)CaDiCaL version: 2.1.3
% 12.79/2.88 % (1709238)Termination reason: Instruction limit
% 12.79/2.88 % (1709238)Termination phase: Saturation
% 12.79/2.88 % (1709238)Time elapsed: 0.069 s
% 12.79/2.88 % (1709238)Peak memory usage: 90 MB
% 12.79/2.88 % (1709238)Instructions burned: 130 (million)
% 12.79/2.88 % (1709237)Instruction limit reached!
% 12.79/2.88 % (1709237)------------------------------
% 12.79/2.88 % (1709237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.88 % (1709237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.88 % (1709237)CaDiCaL version: 2.1.3
% 12.79/2.88 % (1709237)Termination reason: Instruction limit
% 12.79/2.88 % (1709237)Termination phase: Saturation
% 12.79/2.88 % (1709237)Time elapsed: 0.086 s
% 12.79/2.88 % (1709237)Peak memory usage: 90 MB
% 12.79/2.88 % (1709237)Instructions burned: 141 (million)
% 12.79/2.88 % (1709246)lrs+10_1_sil=8000:sp=occurrence:random_seed=3647498743:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.79/2.88 % (1709247)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1890334411:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.79/2.88 % (1709247)Refutation not found, incomplete strategy
% 12.79/2.88 % (1709247)------------------------------
% 12.79/2.88 % (1709247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.79/2.88 % (1709247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.79/2.88 % (1709247)CaDiCaL version: 2.1.3
% 12.79/2.88 % (1709247)Termination reason: Refutation not found, incomplete strategy
% 20.96/3.89 % (1709247)Time elapsed: 0.004 s
% 20.96/3.89 % (1709247)Peak memory usage: 89 MB
% 20.96/3.89 % (1709247)Instructions burned: 5 (million)
% 20.96/3.89 % (1709248)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1196128906:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.96/3.89 % (1709248)Refutation not found, incomplete strategy
% 20.96/3.89 % (1709248)------------------------------
% 20.96/3.89 % (1709248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.89 % (1709248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.89 % (1709248)CaDiCaL version: 2.1.3
% 20.96/3.89 % (1709248)Termination reason: Refutation not found, incomplete strategy
% 20.96/3.89 % (1709248)Time elapsed: 0.004 s
% 20.96/3.89 % (1709248)Peak memory usage: 89 MB
% 20.96/3.89 % (1709248)Instructions burned: 5 (million)
% 20.96/3.89 % (1709235)------------------------------
% 20.96/3.89 % (1709235)------------------------------
% 20.96/3.89 % (1709246)Instruction limit reached!
% 20.96/3.89 % (1709246)------------------------------
% 20.96/3.89 % (1709246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.89 % (1709246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.89 % (1709246)CaDiCaL version: 2.1.3
% 20.96/3.89 % (1709246)Termination reason: Instruction limit
% 20.96/3.89 % (1709246)Termination phase: Saturation
% 20.96/3.89 % (1709246)Time elapsed: 0.144 s
% 20.96/3.89 % (1709246)Peak memory usage: 91 MB
% 20.96/3.89 % (1709246)Instructions burned: 285 (million)
% 20.96/3.89 % (1709252)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1566751218:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.96/3.89 % (1709247)------------------------------
% 20.96/3.89 % (1709247)------------------------------
% 20.96/3.89 % (1709248)------------------------------
% 20.96/3.89 % (1709248)------------------------------
% 20.96/3.89 % (1709253)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4153873049:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.96/3.89 % (1709253)Refutation not found, incomplete strategy
% 20.96/3.89 % (1709253)------------------------------
% 20.96/3.89 % (1709253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.89 % (1709253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.89 % (1709253)CaDiCaL version: 2.1.3
% 20.96/3.89 % (1709253)Termination reason: Refutation not found, incomplete strategy
% 20.96/3.89 % (1709253)Time elapsed: 0.012 s
% 20.96/3.89 % (1709253)Peak memory usage: 89 MB
% 20.96/3.89 % (1709253)Instructions burned: 21 (million)
% 20.96/3.89 % (1709252)Instruction limit reached!
% 20.96/3.89 % (1709252)------------------------------
% 20.96/3.89 % (1709252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.89 % (1709252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.89 % (1709252)CaDiCaL version: 2.1.3
% 20.96/3.89 % (1709252)Termination reason: Instruction limit
% 20.96/3.89 % (1709252)Termination phase: Saturation
% 20.96/3.89 % (1709252)Time elapsed: 0.121 s
% 20.96/3.89 % (1709252)Peak memory usage: 93 MB
% 20.96/3.89 % (1709252)Instructions burned: 249 (million)
% 20.96/3.89 % (1709255)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3663780677:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.96/3.89 % (1709256)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=794511535:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.96/3.89 % (1709256)Instruction limit reached!
% 20.96/3.89 % (1709256)------------------------------
% 20.96/3.89 % (1709256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.89 % (1709256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.89 % (1709256)CaDiCaL version: 2.1.3
% 20.96/3.89 % (1709256)Termination reason: Instruction limit
% 20.96/3.89 % (1709256)Termination phase: Saturation
% 20.96/3.89 % (1709256)Time elapsed: 0.057 s
% 20.96/3.89 % (1709256)Peak memory usage: 89 MB
% 20.96/3.89 % (1709256)Instructions burned: 114 (million)
% 20.96/3.89 % (1709258)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3463976900:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.96/3.89 % (1709258)Refutation not found, incomplete strategy
% 20.96/3.89 % (1709258)------------------------------
% 20.96/3.89 % (1709258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.34/5.87 % (1709258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.34/5.87 % (1709258)CaDiCaL version: 2.1.3
% 35.34/5.87 % (1709258)Termination reason: Refutation not found, incomplete strategy
% 35.34/5.87 % (1709258)Time elapsed: 0.028 s
% 35.34/5.87 % (1709258)Peak memory usage: 89 MB
% 35.34/5.87 % (1709258)Instructions burned: 56 (million)
% 35.34/5.87 % (1709253)------------------------------
% 35.34/5.87 % (1709253)------------------------------
% 35.34/5.87 % (1709261)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2685891854:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 35.34/5.87 % (1709263)lrs+10_1_sil=8000:sp=occurrence:random_seed=1332247676:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 35.34/5.87 % (1709261)Instruction limit reached!
% 35.34/5.87 % (1709261)------------------------------
% 35.34/5.87 % (1709261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.34/5.87 % (1709261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.34/5.87 % (1709261)CaDiCaL version: 2.1.3
% 35.34/5.87 % (1709261)Termination reason: Instruction limit
% 35.34/5.87 % (1709261)Termination phase: Saturation
% 35.34/5.87 % (1709261)Time elapsed: 0.062 s
% 35.34/5.87 % (1709261)Peak memory usage: 89 MB
% 35.34/5.87 % (1709261)Instructions burned: 115 (million)
% 35.34/5.87 % (1709258)------------------------------
% 35.34/5.87 % (1709258)------------------------------
% 35.34/5.87 % (1709266)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2530149243:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 35.34/5.87 % (1709266)Refutation not found, incomplete strategy
% 35.34/5.87 % (1709266)------------------------------
% 35.34/5.87 % (1709266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.34/5.87 % (1709266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.34/5.87 % (1709266)CaDiCaL version: 2.1.3
% 35.34/5.87 % (1709266)Termination reason: Refutation not found, incomplete strategy
% 35.34/5.87 % (1709266)Time elapsed: 0.018 s
% 35.34/5.87 % (1709266)Peak memory usage: 89 MB
% 35.34/5.87 % (1709266)Instructions burned: 33 (million)
% 35.34/5.87 % (1709267)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1392516943:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 35.34/5.87 % (1709266)------------------------------
% 35.34/5.87 % (1709266)------------------------------
% 35.34/5.87 % (1709263)Instruction limit reached!
% 35.34/5.87 % (1709263)------------------------------
% 35.34/5.87 % (1709263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.34/5.87 % (1709263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.34/5.87 % (1709263)CaDiCaL version: 2.1.3
% 35.34/5.87 % (1709263)Termination reason: Instruction limit
% 35.34/5.87 % (1709263)Termination phase: Saturation
% 35.34/5.87 % (1709263)Time elapsed: 0.429 s
% 35.34/5.87 % (1709263)Peak memory usage: 94 MB
% 35.34/5.87 % (1709263)Instructions burned: 907 (million)
% 35.34/5.87 % (1709271)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1748082779:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 35.34/5.87 % (1709270)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3507465811:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 35.34/5.87 % (1709270)Instruction limit reached!
% 35.34/5.87 % (1709270)------------------------------
% 35.34/5.87 % (1709270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.34/5.87 % (1709270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.34/5.87 % (1709270)CaDiCaL version: 2.1.3
% 35.34/5.87 % (1709270)Termination reason: Instruction limit
% 35.34/5.87 % (1709270)Termination phase: Saturation
% 35.34/5.87 % (1709270)Time elapsed: 0.065 s
% 35.34/5.87 % (1709270)Peak memory usage: 93 MB
% 35.34/5.87 % (1709270)Instructions burned: 135 (million)
% 35.34/5.87 % (1709274)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2506932506:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 35.34/5.87 % (1709271)Instruction limit reached!
% 35.34/5.87 % (1709271)------------------------------
% 35.34/5.87 % (1709271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.34/5.87 % (1709271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.39/10.30 % (1709271)CaDiCaL version: 2.1.3
% 67.39/10.30 % (1709271)Termination reason: Instruction limit
% 67.39/10.30 % (1709271)Termination phase: Saturation
% 67.39/10.30 % (1709271)Time elapsed: 0.348 s
% 67.39/10.30 % (1709271)Peak memory usage: 96 MB
% 67.39/10.30 % (1709271)Instructions burned: 592 (million)
% 67.39/10.30 % (1709276)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3752232147:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 67.39/10.30 % (1709276)Instruction limit reached!
% 67.39/10.30 % (1709276)------------------------------
% 67.39/10.30 % (1709276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.39/10.30 % (1709276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.39/10.30 % (1709276)CaDiCaL version: 2.1.3
% 67.39/10.30 % (1709276)Termination reason: Instruction limit
% 67.39/10.30 % (1709276)Termination phase: Saturation
% 67.39/10.30 % (1709276)Time elapsed: 0.067 s
% 67.39/10.30 % (1709276)Peak memory usage: 90 MB
% 67.39/10.30 % (1709276)Instructions burned: 126 (million)
% 67.39/10.30 % (1709255)Instruction limit reached!
% 67.39/10.30 % (1709255)------------------------------
% 67.39/10.30 % (1709255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.39/10.30 % (1709255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.39/10.30 % (1709255)CaDiCaL version: 2.1.3
% 67.39/10.30 % (1709255)Termination reason: Instruction limit
% 67.39/10.30 % (1709255)Termination phase: Saturation
% 67.39/10.30 % (1709255)Time elapsed: 1.466 s
% 67.39/10.30 % (1709255)Peak memory usage: 142 MB
% 67.39/10.30 % (1709255)Instructions burned: 2351 (million)
% 67.39/10.30 % (1709278)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4166311821:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 67.39/10.30 % (1709279)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=748463826:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 67.39/10.30 % (1709279)Refutation not found, incomplete strategy
% 67.39/10.30 % (1709279)------------------------------
% 67.39/10.30 % (1709279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.39/10.30 % (1709279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.39/10.30 % (1709279)CaDiCaL version: 2.1.3
% 67.39/10.30 % (1709279)Termination reason: Refutation not found, incomplete strategy
% 67.39/10.30 % (1709279)Time elapsed: 0.002 s
% 67.39/10.30 % (1709279)Peak memory usage: 88 MB
% 67.39/10.30 % (1709279)Instructions burned: 1 (million)
% 67.39/10.30 % (1709278)Instruction limit reached!
% 67.39/10.30 % (1709278)------------------------------
% 67.39/10.30 % (1709278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.39/10.30 % (1709278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.39/10.30 % (1709278)CaDiCaL version: 2.1.3
% 67.39/10.30 % (1709278)Termination reason: Instruction limit
% 67.39/10.30 % (1709278)Termination phase: Saturation
% 67.39/10.30 % (1709278)Time elapsed: 0.077 s
% 67.39/10.30 % (1709278)Peak memory usage: 91 MB
% 67.39/10.30 % (1709278)Instructions burned: 134 (million)
% 67.39/10.30 % (1709282)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2877692948:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 67.39/10.30 % (1709282)Refutation not found, incomplete strategy
% 67.39/10.30 % (1709282)------------------------------
% 67.39/10.30 % (1709282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.39/10.30 % (1709282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.39/10.30 % (1709282)CaDiCaL version: 2.1.3
% 67.39/10.30 % (1709282)Termination reason: Refutation not found, incomplete strategy
% 67.39/10.30 % (1709282)Time elapsed: 0.006 s
% 67.39/10.30 % (1709282)Peak memory usage: 88 MB
% 67.39/10.30 % (1709282)Instructions burned: 9 (million)
% 67.39/10.30 % (1709279)------------------------------
% 67.39/10.30 % (1709279)------------------------------
% 67.39/10.30 % (1709284)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1014275887:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 67.39/10.30 % (1709282)------------------------------
% 67.39/10.30 % (1709282)------------------------------
% 67.39/10.30 % (1709286)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4174605639:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 98.52/14.79 % (1709286)Instruction limit reached!
% 98.52/14.79 % (1709286)------------------------------
% 98.52/14.79 % (1709286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.52/14.79 % (1709286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.52/14.79 % (1709286)CaDiCaL version: 2.1.3
% 98.52/14.79 % (1709286)Termination reason: Instruction limit
% 98.52/14.79 % (1709286)Termination phase: Saturation
% 98.52/14.79 % (1709286)Time elapsed: 0.076 s
% 98.52/14.79 % (1709286)Peak memory usage: 92 MB
% 98.52/14.79 % (1709286)Instructions burned: 150 (million)
% 98.52/14.79 % (1709288)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=743961726:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 98.52/14.79 % (1709267)Instruction limit reached!
% 98.52/14.79 % (1709267)------------------------------
% 98.52/14.79 % (1709267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.52/14.79 % (1709267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.52/14.79 % (1709267)CaDiCaL version: 2.1.3
% 98.52/14.79 % (1709267)Termination reason: Instruction limit
% 98.52/14.79 % (1709267)Termination phase: Saturation
% 98.52/14.79 % (1709267)Time elapsed: 2.526 s
% 98.52/14.79 % (1709267)Peak memory usage: 137 MB
% 98.52/14.79 % (1709267)Instructions burned: 5203 (million)
% 98.52/14.79 % (1709290)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4054444521:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 98.52/14.79 % (1709290)Refutation not found, incomplete strategy
% 98.52/14.79 % (1709290)------------------------------
% 98.52/14.79 % (1709290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.52/14.79 % (1709290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.52/14.79 % (1709290)CaDiCaL version: 2.1.3
% 98.52/14.79 % (1709290)Termination reason: Refutation not found, incomplete strategy
% 98.52/14.79 % (1709290)Time elapsed: 0.023 s
% 98.52/14.79 % (1709290)Peak memory usage: 89 MB
% 98.52/14.79 % (1709290)Instructions burned: 46 (million)
% 98.52/14.79 % (1709290)------------------------------
% 98.52/14.79 % (1709290)------------------------------
% 98.52/14.79 % (1709292)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2187943917:s2a=on:i=185:s2at=1.8:fdi=4_2957 on theBenchmark for (2957ds/185Mi)
% 98.52/14.79 % (1709292)Instruction limit reached!
% 98.52/14.79 % (1709292)------------------------------
% 98.52/14.79 % (1709292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.52/14.79 % (1709292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.52/14.79 % (1709292)CaDiCaL version: 2.1.3
% 98.52/14.79 % (1709292)Termination reason: Instruction limit
% 98.52/14.79 % (1709292)Termination phase: Saturation
% 98.52/14.79 % (1709292)Time elapsed: 0.097 s
% 98.52/14.79 % (1709292)Peak memory usage: 93 MB
% 98.52/14.79 % (1709292)Instructions burned: 186 (million)
% 98.52/14.79 % (1709294)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=147781829:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2954 on theBenchmark for (2954ds/193Mi)
% 98.52/14.79 % (1709294)Instruction limit reached!
% 98.52/14.79 % (1709294)------------------------------
% 98.52/14.79 % (1709294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.52/14.79 % (1709294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.52/14.79 % (1709294)CaDiCaL version: 2.1.3
% 98.52/14.79 % (1709294)Termination reason: Instruction limit
% 98.52/14.79 % (1709294)Termination phase: Saturation
% 98.52/14.79 % (1709294)Time elapsed: 0.104 s
% 98.52/14.79 % (1709294)Peak memory usage: 90 MB
% 98.52/14.79 % (1709294)Instructions burned: 194 (million)
% 98.52/14.79 % (1709296)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3725235685:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2951 on theBenchmark for (2951ds/4850Mi)
% 98.52/14.79 % (1709296)Refutation not found, incomplete strategy
% 98.52/14.79 % (1709296)------------------------------
% 98.52/14.79 % (1709296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.52/14.79 % (1709296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.52/14.79 % (1709296)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709296)Termination reason: Refutation not found, incomplete strategy
% 126.08/18.76 % (1709296)Time elapsed: 0.018 s
% 126.08/18.76 % (1709296)Peak memory usage: 89 MB
% 126.08/18.76 % (1709296)Instructions burned: 34 (million)
% 126.08/18.76 % (1709296)------------------------------
% 126.08/18.76 % (1709296)------------------------------
% 126.08/18.76 % (1709298)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=879519308:i=12111:sd=1:ss=included_2947 on theBenchmark for (2947ds/12111Mi)
% 126.08/18.76 % (1709284)Instruction limit reached!
% 126.08/18.76 % (1709284)------------------------------
% 126.08/18.76 % (1709284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.08/18.76 % (1709284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.08/18.76 % (1709284)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709284)Termination reason: Instruction limit
% 126.08/18.76 % (1709284)Termination phase: Saturation
% 126.08/18.76 % (1709284)Time elapsed: 3.288 s
% 126.08/18.76 % (1709284)Peak memory usage: 143 MB
% 126.08/18.76 % (1709284)Instructions burned: 6061 (million)
% 126.08/18.76 % (1709300)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3113618903:i=319:kws=precedence:fsr=off_2938 on theBenchmark for (2938ds/319Mi)
% 126.08/18.76 % (1709300)Instruction limit reached!
% 126.08/18.76 % (1709300)------------------------------
% 126.08/18.76 % (1709300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.08/18.76 % (1709300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.08/18.76 % (1709300)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709300)Termination reason: Instruction limit
% 126.08/18.76 % (1709300)Termination phase: Saturation
% 126.08/18.76 % (1709300)Time elapsed: 0.162 s
% 126.08/18.76 % (1709300)Peak memory usage: 94 MB
% 126.08/18.76 % (1709300)Instructions burned: 321 (million)
% 126.08/18.76 % (1709302)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2515212827:i=2064:ep=RST_2935 on theBenchmark for (2935ds/2064Mi)
% 126.08/18.76 % (1709302)Instruction limit reached!
% 126.08/18.76 % (1709302)------------------------------
% 126.08/18.76 % (1709302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.08/18.76 % (1709302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.08/18.76 % (1709302)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709302)Termination reason: Instruction limit
% 126.08/18.76 % (1709302)Termination phase: Saturation
% 126.08/18.76 % (1709302)Time elapsed: 1.080 s
% 126.08/18.76 % (1709302)Peak memory usage: 98 MB
% 126.08/18.76 % (1709302)Instructions burned: 2065 (million)
% 126.08/18.76 % (1709304)dis-1011_128_sil=32000:random_seed=327355603:i=3706:ep=RST:av=off_2922 on theBenchmark for (2922ds/3706Mi)
% 126.08/18.76 % (1709304)Instruction limit reached!
% 126.08/18.76 % (1709304)------------------------------
% 126.08/18.76 % (1709304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.08/18.76 % (1709304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.08/18.76 % (1709304)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709304)Termination reason: Instruction limit
% 126.08/18.76 % (1709304)Termination phase: Saturation
% 126.08/18.76 % (1709304)Time elapsed: 1.254 s
% 126.08/18.76 % (1709304)Peak memory usage: 89 MB
% 126.08/18.76 % (1709304)Instructions burned: 3708 (million)
% 126.08/18.76 % (1709306)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3139842795:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2908 on theBenchmark for (2908ds/757Mi)
% 126.08/18.76 % (1709306)Refutation not found, incomplete strategy
% 126.08/18.76 % (1709306)------------------------------
% 126.08/18.76 % (1709306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.08/18.76 % (1709306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.08/18.76 % (1709306)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709306)Termination reason: Refutation not found, incomplete strategy
% 126.08/18.76 % (1709306)Time elapsed: 0.015 s
% 126.08/18.76 % (1709306)Peak memory usage: 89 MB
% 126.08/18.76 % (1709306)Instructions burned: 28 (million)
% 126.08/18.76 % (1709274)Instruction limit reached!
% 126.08/18.76 % (1709274)------------------------------
% 126.08/18.76 % (1709274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.08/18.76 % (1709274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.08/18.76 % (1709274)CaDiCaL version: 2.1.3
% 126.08/18.76 % (1709274)Termination reason: Instruction limit
% 126.08/18.76 % (1709274)Termination phase: Saturation
% 146.77/21.57 % (1709274)Time elapsed: 7.547 s
% 146.77/21.57 % (1709274)Peak memory usage: 172 MB
% 146.77/21.57 % (1709274)Instructions burned: 13195 (million)
% 146.77/21.57 % (1709306)------------------------------
% 146.77/21.57 % (1709306)------------------------------
% 146.77/21.57 % (1709308)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=816881256:i=13913:ss=axioms:sgt=8_2905 on theBenchmark for (2905ds/13913Mi)
% 146.77/21.57 % (1709309)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1448817270:i=9925:aac=none_2904 on theBenchmark for (2904ds/9925Mi)
% 146.77/21.57 % (1709288)Instruction limit reached!
% 146.77/21.57 % (1709288)------------------------------
% 146.77/21.57 % (1709288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.77/21.57 % (1709288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.77/21.57 % (1709288)CaDiCaL version: 2.1.3
% 146.77/21.57 % (1709288)Termination reason: Instruction limit
% 146.77/21.57 % (1709288)Termination phase: Saturation
% 146.77/21.57 % (1709288)Time elapsed: 7.295 s
% 146.77/21.57 % (1709288)Peak memory usage: 171 MB
% 146.77/21.57 % (1709288)Instructions burned: 14155 (million)
% 146.77/21.57 % (1709312)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=553182686:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2893 on theBenchmark for (2893ds/2479Mi)
% 146.77/21.57 % (1709312)Refutation not found, incomplete strategy
% 146.77/21.57 % (1709312)------------------------------
% 146.77/21.57 % (1709312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.77/21.57 % (1709312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.77/21.57 % (1709312)CaDiCaL version: 2.1.3
% 146.77/21.57 % (1709312)Termination reason: Refutation not found, incomplete strategy
% 146.77/21.57 % (1709312)Time elapsed: 0.012 s
% 146.77/21.57 % (1709312)Peak memory usage: 89 MB
% 146.77/21.57 % (1709312)Instructions burned: 19 (million)
% 146.77/21.57 % (1709312)------------------------------
% 146.77/21.57 % (1709312)------------------------------
% 146.77/21.57 % (1709314)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3016908364:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2889 on theBenchmark for (2889ds/440Mi)
% 146.77/21.57 % (1709314)Instruction limit reached!
% 146.77/21.57 % (1709314)------------------------------
% 146.77/21.57 % (1709314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.77/21.57 % (1709314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.77/21.57 % (1709314)CaDiCaL version: 2.1.3
% 146.77/21.57 % (1709314)Termination reason: Instruction limit
% 146.77/21.57 % (1709314)Termination phase: Saturation
% 146.77/21.57 % (1709314)Time elapsed: 0.217 s
% 146.77/21.57 % (1709314)Peak memory usage: 91 MB
% 146.77/21.57 % (1709314)Instructions burned: 441 (million)
% 146.77/21.57 % (1709316)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=2211433596:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2885 on theBenchmark for (2885ds/11145Mi)
% 146.77/21.57 % (1709298)Instruction limit reached!
% 146.77/21.57 % (1709298)------------------------------
% 146.77/21.57 % (1709298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.77/21.57 % (1709298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.77/21.57 % (1709298)CaDiCaL version: 2.1.3
% 146.77/21.57 % (1709298)Termination reason: Instruction limit
% 146.77/21.57 % (1709298)Termination phase: Saturation
% 146.77/21.57 % (1709298)Time elapsed: 6.432 s
% 146.77/21.57 % (1709298)Peak memory usage: 248 MB
% 146.77/21.57 % (1709298)Instructions burned: 12112 (million)
% 146.77/21.57 % (1709318)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3966489887:cts=off:i=3034:av=off:er=known:fsd=on_2881 on theBenchmark for (2881ds/3034Mi)
% 146.77/21.57 % (1709318)Instruction limit reached!
% 146.77/21.57 % (1709318)------------------------------
% 146.77/21.57 % (1709318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.77/21.57 % (1709318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.77/21.57 % (1709318)CaDiCaL version: 2.1.3
% 146.77/21.57 % (1709318)Termination reason: Instruction limit
% 146.77/21.57 % (1709318)Termination phase: Saturation
% 146.77/21.57 % (1709318)Time elapsed: 1.700 s
% 146.77/21.57 % (1709318)Peak memory usage: 136 MB
% 146.77/21.57 % (1709318)Instructions burned: 3035 (million)
% 146.77/21.57 % (1709320)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=392223640:st=2:s2a=on:i=524:s2at=2:ss=axioms_2862 on theBenchmark for (2862ds/524Mi)
% 175.98/25.71 % (1709320)Instruction limit reached!
% 175.98/25.71 % (1709320)------------------------------
% 175.98/25.71 % (1709320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.98/25.71 % (1709320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.98/25.71 % (1709320)CaDiCaL version: 2.1.3
% 175.98/25.71 % (1709320)Termination reason: Instruction limit
% 175.98/25.71 % (1709320)Termination phase: Saturation
% 175.98/25.71 % (1709320)Time elapsed: 0.225 s
% 175.98/25.71 % (1709320)Peak memory usage: 92 MB
% 175.98/25.71 % (1709320)Instructions burned: 525 (million)
% 175.98/25.71 % (1709322)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1162473178:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2858 on theBenchmark for (2858ds/1016Mi)
% 175.98/25.71 % (1709322)Refutation not found, incomplete strategy
% 175.98/25.71 % (1709322)------------------------------
% 175.98/25.71 % (1709322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.98/25.71 % (1709322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.98/25.71 % (1709322)CaDiCaL version: 2.1.3
% 175.98/25.71 % (1709322)Termination reason: Refutation not found, incomplete strategy
% 175.98/25.71 % (1709322)Time elapsed: 0.005 s
% 175.98/25.71 % (1709322)Peak memory usage: 89 MB
% 175.98/25.71 % (1709322)Instructions burned: 5 (million)
% 175.98/25.71 % (1709322)------------------------------
% 175.98/25.71 % (1709322)------------------------------
% 175.98/25.71 % (1709309)Instruction limit reached!
% 175.98/25.71 % (1709309)------------------------------
% 175.98/25.71 % (1709309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.98/25.71 % (1709309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.98/25.71 % (1709309)CaDiCaL version: 2.1.3
% 175.98/25.71 % (1709309)Termination reason: Instruction limit
% 175.98/25.71 % (1709309)Termination phase: Saturation
% 175.98/25.71 % (1709309)Time elapsed: 4.964 s
% 175.98/25.71 % (1709309)Peak memory usage: 198 MB
% 175.98/25.71 % (1709309)Instructions burned: 9927 (million)
% 175.98/25.71 % (1709324)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4005581573:i=14123:bd=preordered:ins=4_2854 on theBenchmark for (2854ds/14123Mi)
% 175.98/25.71 % (1709325)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2915990979:i=5781:kws=precedence:bd=all:rawr=on_2853 on theBenchmark for (2853ds/5781Mi)
% 175.98/25.71 % (1709308)Instruction limit reached!
% 175.98/25.71 % (1709308)------------------------------
% 175.98/25.71 % (1709308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.98/25.71 % (1709308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.98/25.71 % (1709308)CaDiCaL version: 2.1.3
% 175.98/25.71 % (1709308)Termination reason: Instruction limit
% 175.98/25.71 % (1709308)Termination phase: Saturation
% 175.98/25.71 % (1709308)Time elapsed: 7.532 s
% 175.98/25.71 % (1709308)Peak memory usage: 184 MB
% 175.98/25.71 % (1709308)Instructions burned: 13913 (million)
% 175.98/25.71 % (1709328)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4006837760:i=2448:gtgl=5:bd=preordered:gtg=all_2828 on theBenchmark for (2828ds/2448Mi)
% 175.98/25.71 % (1709316)Instruction limit reached!
% 175.98/25.71 % (1709316)------------------------------
% 175.98/25.71 % (1709316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.98/25.71 % (1709316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.98/25.71 % (1709316)CaDiCaL version: 2.1.3
% 175.98/25.71 % (1709316)Termination reason: Instruction limit
% 175.98/25.71 % (1709316)Termination phase: Saturation
% 175.98/25.71 % (1709316)Time elapsed: 6.020 s
% 175.98/25.71 % (1709316)Peak memory usage: 177 MB
% 175.98/25.71 % (1709316)Instructions burned: 11147 (million)
% 175.98/25.71 % (1709330)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=681288286:i=3223:kws=precedence:fgj=on:av=off_2824 on theBenchmark for (2824ds/3223Mi)
% 175.98/25.71 % (1709325)Instruction limit reached!
% 175.98/25.71 % (1709325)------------------------------
% 175.98/25.71 % (1709325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.98/25.71 % (1709325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.98/25.71 % (1709325)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709325)Termination reason: Instruction limit
% 129.05/29.42 % (1709325)Termination phase: Saturation
% 129.05/29.42 % (1709325)Time elapsed: 3.088 s
% 129.05/29.42 % (1709325)Peak memory usage: 127 MB
% 129.05/29.42 % (1709325)Instructions burned: 5782 (million)
% 129.05/29.42 % (1709332)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3816122768:st=5.6:i=2033:sd=3:ss=axioms_2820 on theBenchmark for (2820ds/2033Mi)
% 129.05/29.42 % (1709328)Instruction limit reached!
% 129.05/29.42 % (1709328)------------------------------
% 129.05/29.42 % (1709328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709328)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709328)Termination reason: Instruction limit
% 129.05/29.42 % (1709328)Termination phase: Saturation
% 129.05/29.42 % (1709328)Time elapsed: 1.397 s
% 129.05/29.42 % (1709328)Peak memory usage: 137 MB
% 129.05/29.42 % (1709328)Instructions burned: 2448 (million)
% 129.05/29.42 % (1709334)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=398613974:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2812 on theBenchmark for (2812ds/2055Mi)
% 129.05/29.42 % (1709332)Instruction limit reached!
% 129.05/29.42 % (1709332)------------------------------
% 129.05/29.42 % (1709332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709332)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709332)Termination reason: Instruction limit
% 129.05/29.42 % (1709332)Termination phase: Saturation
% 129.05/29.42 % (1709332)Time elapsed: 1.198 s
% 129.05/29.42 % (1709332)Peak memory usage: 133 MB
% 129.05/29.42 % (1709332)Instructions burned: 2035 (million)
% 129.05/29.42 % (1709336)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3837859545:i=21611:sd=3:ss=axioms_2807 on theBenchmark for (2807ds/21611Mi)
% 129.05/29.42 % (1709330)Instruction limit reached!
% 129.05/29.42 % (1709330)------------------------------
% 129.05/29.42 % (1709330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709330)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709330)Termination reason: Instruction limit
% 129.05/29.42 % (1709330)Termination phase: Saturation
% 129.05/29.42 % (1709330)Time elapsed: 2.069 s
% 129.05/29.42 % (1709330)Peak memory usage: 143 MB
% 129.05/29.42 % (1709330)Instructions burned: 3224 (million)
% 129.05/29.42 % (1709338)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3697511679:i=4835:sd=13:ss=axioms:sgt=23_2801 on theBenchmark for (2801ds/4835Mi)
% 129.05/29.42 % (1709334)Instruction limit reached!
% 129.05/29.42 % (1709334)------------------------------
% 129.05/29.42 % (1709334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709334)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709334)Termination reason: Instruction limit
% 129.05/29.42 % (1709334)Termination phase: Saturation
% 129.05/29.42 % (1709334)Time elapsed: 1.180 s
% 129.05/29.42 % (1709334)Peak memory usage: 133 MB
% 129.05/29.42 % (1709334)Instructions burned: 2057 (million)
% 129.05/29.42 % (1709340)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2516406968:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2799 on theBenchmark for (2799ds/797Mi)
% 129.05/29.42 % (1709340)Instruction limit reached!
% 129.05/29.42 % (1709340)------------------------------
% 129.05/29.42 % (1709340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709340)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709340)Termination reason: Instruction limit
% 129.05/29.42 % (1709340)Termination phase: Saturation
% 129.05/29.42 % (1709340)Time elapsed: 0.287 s
% 129.05/29.42 % (1709340)Peak memory usage: 89 MB
% 129.05/29.42 % (1709340)Instructions burned: 797 (million)
% 129.05/29.42 % (1709342)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1580992425:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2794 on theBenchmark for (2794ds/2326Mi)
% 129.05/29.42 % (1709342)Refutation not found, incomplete strategy
% 129.05/29.42 % (1709342)------------------------------
% 129.05/29.42 % (1709342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709342)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709342)Termination reason: Refutation not found, incomplete strategy
% 129.05/29.42 % (1709342)Time elapsed: 0.024 s
% 129.05/29.42 % (1709342)Peak memory usage: 90 MB
% 129.05/29.42 % (1709342)Instructions burned: 43 (million)
% 129.05/29.42 % (1709342)------------------------------
% 129.05/29.42 % (1709342)------------------------------
% 129.05/29.42 % (1709344)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3945709231:i=6038:nm=6_2790 on theBenchmark for (2790ds/6038Mi)
% 129.05/29.42 % (1709338)Instruction limit reached!
% 129.05/29.42 % (1709338)------------------------------
% 129.05/29.42 % (1709338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709338)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709338)Termination reason: Instruction limit
% 129.05/29.42 % (1709338)Termination phase: Saturation
% 129.05/29.42 % (1709338)Time elapsed: 2.194 s
% 129.05/29.42 % (1709338)Peak memory usage: 106 MB
% 129.05/29.42 % (1709338)Instructions burned: 4836 (million)
% 129.05/29.42 % (1709346)lrs+10_1_sil=32000:sp=occurrence:random_seed=3435980736:st=2:i=33334:sd=3:ss=included:sgt=32_2778 on theBenchmark for (2778ds/33334Mi)
% 129.05/29.42 % (1709324)Instruction limit reached!
% 129.05/29.42 % (1709324)------------------------------
% 129.05/29.42 % (1709324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709324)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709324)Termination reason: Instruction limit
% 129.05/29.42 % (1709324)Termination phase: Saturation
% 129.05/29.42 % (1709324)Time elapsed: 7.715 s
% 129.05/29.42 % (1709324)Peak memory usage: 171 MB
% 129.05/29.42 % (1709324)Instructions burned: 14124 (million)
% 129.05/29.42 % (1709348)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2251878809:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2775 on theBenchmark for (2775ds/1008Mi)
% 129.05/29.42 % (1709348)Instruction limit reached!
% 129.05/29.42 % (1709348)------------------------------
% 129.05/29.42 % (1709348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709348)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709348)Termination reason: Instruction limit
% 129.05/29.42 % (1709348)Termination phase: Saturation
% 129.05/29.42 % (1709348)Time elapsed: 0.548 s
% 129.05/29.42 % (1709348)Peak memory usage: 135 MB
% 129.05/29.42 % (1709348)Instructions burned: 1008 (million)
% 129.05/29.42 % (1709350)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=619112599:i=8327:s2at=5:bd=preordered_2767 on theBenchmark for (2767ds/8327Mi)
% 129.05/29.42 % (1709344)Instruction limit reached!
% 129.05/29.42 % (1709344)------------------------------
% 129.05/29.42 % (1709344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709344)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709344)Termination reason: Instruction limit
% 129.05/29.42 % (1709344)Termination phase: Saturation
% 129.05/29.42 % (1709344)Time elapsed: 3.046 s
% 129.05/29.42 % (1709344)Peak memory usage: 243 MB
% 129.05/29.42 % (1709344)Instructions burned: 6040 (million)
% 129.05/29.42 % (1709352)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1910997895:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2758 on theBenchmark for (2758ds/1083Mi)
% 129.05/29.42 % (1709352)Instruction limit reached!
% 129.05/29.42 % (1709352)------------------------------
% 129.05/29.42 % (1709352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709352)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709352)Termination reason: Instruction limit
% 129.05/29.42 % (1709352)Termination phase: Saturation
% 129.05/29.42 % (1709352)Time elapsed: 0.504 s
% 129.05/29.42 % (1709352)Peak memory usage: 110 MB
% 129.05/29.42 % (1709352)Instructions burned: 1085 (million)
% 129.05/29.42 % (1709354)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=474071325:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2751 on theBenchmark for (2751ds/1084Mi)
% 129.05/29.42 % (1709354)Refutation not found, incomplete strategy
% 129.05/29.42 % (1709354)------------------------------
% 129.05/29.42 % (1709354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709354)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709354)Termination reason: Refutation not found, incomplete strategy
% 129.05/29.42 % (1709354)Time elapsed: 0.004 s
% 129.05/29.42 % (1709354)Peak memory usage: 88 MB
% 129.05/29.42 % (1709354)Instructions burned: 3 (million)
% 129.05/29.42 % (1709354)------------------------------
% 129.05/29.42 % (1709354)------------------------------
% 129.05/29.42 % (1709356)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=2044243383:i=6995:s2at=5:gtg=all_2747 on theBenchmark for (2747ds/6995Mi)
% 129.05/29.42 % (1709350)Instruction limit reached!
% 129.05/29.42 % (1709350)------------------------------
% 129.05/29.42 % (1709350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709350)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709350)Termination reason: Instruction limit
% 129.05/29.42 % (1709350)Termination phase: Saturation
% 129.05/29.42 % (1709350)Time elapsed: 4.872 s
% 129.05/29.42 % (1709350)Peak memory usage: 165 MB
% 129.05/29.42 % (1709350)Instructions burned: 8327 (million)
% 129.05/29.42 % (1709233)First to succeed.
% 129.05/29.42 % (1709233)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1709227"
% 129.05/29.42 % (1709358)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=4018431853:st=2:i=6225:sd=15:ss=axioms_2717 on theBenchmark for (2717ds/6225Mi)
% 129.05/29.42 % (1709358)Refutation not found, incomplete strategy
% 129.05/29.42 % (1709358)------------------------------
% 129.05/29.42 % (1709358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.05/29.42 % (1709358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.05/29.42 % (1709358)CaDiCaL version: 2.1.3
% 129.05/29.42 % (1709358)Termination reason: Refutation not found, incomplete strategy
% 129.05/29.42 % (1709358)Time elapsed: 0.022 s
% 129.05/29.42 % (1709358)Peak memory usage: 89 MB
% 129.05/29.42 % (1709358)Instructions burned: 41 (million)
% 129.05/29.42 % (1709233)Refutation found. Thanks to Tanya!
% 129.05/29.42 % SZS status Theorem for theBenchmark
% 129.05/29.42 % SZS output start Proof for theBenchmark
% See solution above
% 203.12/29.62 % (1709233)------------------------------
% 203.12/29.62 % (1709233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 203.12/29.62 % (1709233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 203.12/29.62 % (1709233)CaDiCaL version: 2.1.3
% 203.12/29.62 % (1709233)Termination reason: Refutation
% 203.12/29.62 % (1709233)Time elapsed: 28.224 s
% 203.12/29.62 % (1709233)Peak memory usage: 373 MB
% 203.12/29.62 % (1709233)Instructions burned: 95876 (million)
% 203.12/29.62 % (1709233)------------------------------
% 203.12/29.62 % (1709233)------------------------------
% 203.12/29.62 % (1709227)Success in time 28.58 s
% 203.12/29.62 % Vampire exiting
%------------------------------------------------------------------------------