%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO324+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 : n005.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 34.63s 6.53s
% Output : Refutation 40.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 71
% Syntax : Number of formulae : 809 ( 120 unt; 28 def)
% Number of atoms : 4820 (1391 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 6944 (2933 ~;3770 |; 193 &)
% ( 32 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 27 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 1388 ( 0 sgn1332 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1287,vd1289,vd1329) = vangle(vd1287,vd1288,vd1302),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(375)), 1345, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1287,vd1289,vd1329) != vangle(vd1287,vd1288,vd1302),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(375)), 1344, 0)') ).
fof(f4,axiom,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(375), 1343, 0)') ).
fof(f5,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(374, 1342, 0)') ).
fof(f6,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(373, 1341, 0)') ).
fof(f7,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f10,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f11,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f12,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(f13,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f14,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(f15,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(f16,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(f17,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(f23,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f24,axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(367), 1331, 0)') ).
fof(f25,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f26,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(368))), 1334, 0)') ).
fof(f60,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f62,axiom,
vd1329 != vd1302,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)') ).
fof(f63,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f67,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f68,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f70,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f75,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(f76,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(370)), 0)') ).
fof(f77,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(370)), 0)') ).
fof(f78,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(369), 0)') ).
fof(f79,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(369)), 0)') ).
fof(f80,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(369)), 0)') ).
fof(f83,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(f84,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(f89,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(f96,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(f97,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(f101,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(f105,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(f110,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f116,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(f117,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(f128,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(f138,axiom,
! [X0,X1,X2,X3] :
( ( rR(X1,X0,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,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f174,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(f183,plain,
vangle(vd1287,vd1289,vd1329) != vangle(vd1287,vd1288,vd1302),
inference(flattening,[],[f2]) ).
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(ennf_transformation,[],[f15]) ).
fof(f189,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,[],[f188]) ).
fof(f190,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,[],[f16]) ).
fof(f191,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,[],[f190]) ).
fof(f192,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,[],[f17]) ).
fof(f193,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,[],[f192]) ).
fof(f239,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,[],[f75]) ).
fof(f240,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,[],[f239]) ).
fof(f245,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,[],[f83]) ).
fof(f246,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,[],[f245]) ).
fof(f247,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f248,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f247]) ).
fof(f257,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,[],[f89]) ).
fof(f258,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,[],[f257]) ).
fof(f271,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,[],[f96]) ).
fof(f272,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,[],[f271]) ).
fof(f273,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f274,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f273]) ).
fof(f281,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,[],[f101]) ).
fof(f282,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,[],[f281]) ).
fof(f289,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,[],[f105]) ).
fof(f290,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,[],[f289]) ).
fof(f307,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f308,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,[],[f117]) ).
fof(f309,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,[],[f308]) ).
fof(f330,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,[],[f128]) ).
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(flattening,[],[f330]) ).
fof(f350,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,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,[],[f138]) ).
fof(f351,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,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,[],[f350]) ).
fof(f415,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,[],[f174]) ).
fof(f416,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,[],[f415]) ).
fof(f431,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK1
& rpoint(sK1)
& vd1288 = sK2
& rpoint(sK2)
& vd1287 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f14]) ).
fof(f438,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,[],[f246]) ).
fof(f439,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,[],[f438]) ).
fof(f442,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,[],[f258]) ).
fof(f443,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))],[f442]) ).
fof(f448,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,[],[f274]) ).
fof(f452,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,[],[f290]) ).
fof(f453,plain,
! [X0,X1] :
( ( ron(X1,sK12(X0,X1))
& rcenter(X0,sK12(X0,X1))
& rcircle(sK12(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f452]) ).
fof(f507,plain,
vangle(vd1287,vd1289,vd1329) != vangle(vd1287,vd1288,vd1302),
inference(cnf_transformation,[],[f183]) ).
fof(f508,plain,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
inference(cnf_transformation,[],[f3]) ).
fof(f509,plain,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
inference(cnf_transformation,[],[f4]) ).
fof(f510,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f5]) ).
fof(f511,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f6]) ).
fof(f512,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f7]) ).
fof(f515,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f10]) ).
fof(f516,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f11]) ).
fof(f517,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f12]) ).
fof(f518,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f12]) ).
fof(f519,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f12]) ).
fof(f520,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f12]) ).
fof(f521,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f13]) ).
fof(f522,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f431]) ).
fof(f523,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f431]) ).
fof(f524,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f431]) ).
fof(f525,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f431]) ).
fof(f526,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f431]) ).
fof(f527,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f431]) ).
fof(f530,plain,
vd1289 != vd1288,
inference(cnf_transformation,[],[f431]) ).
fof(f532,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,[],[f189]) ).
fof(f533,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,[],[f191]) ).
fof(f534,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,[],[f193]) ).
fof(f535,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,[],[f193]) ).
fof(f536,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,[],[f193]) ).
fof(f537,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,[],[f193]) ).
fof(f552,plain,
vd1287 != vd1329,
inference(cnf_transformation,[],[f23]) ).
fof(f553,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(cnf_transformation,[],[f24]) ).
fof(f554,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f25]) ).
fof(f555,plain,
vd1287 != vd1302,
inference(cnf_transformation,[],[f26]) ).
fof(f589,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f60]) ).
fof(f591,plain,
vd1329 != vd1302,
inference(cnf_transformation,[],[f62]) ).
fof(f592,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f63]) ).
fof(f596,plain,
rline(vd1297),
inference(cnf_transformation,[],[f67]) ).
fof(f597,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f68]) ).
fof(f599,plain,
rline(vd1295),
inference(cnf_transformation,[],[f70]) ).
fof(f605,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,[],[f240]) ).
fof(f606,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f76]) ).
fof(f607,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f77]) ).
fof(f608,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f78]) ).
fof(f609,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f79]) ).
fof(f610,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f80]) ).
fof(f613,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,[],[f439]) ).
fof(f614,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,[],[f439]) ).
fof(f615,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,[],[f439]) ).
fof(f616,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f248]) ).
fof(f622,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f443]) ).
fof(f623,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f443]) ).
fof(f624,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f443]) ).
fof(f635,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,[],[f272]) ).
fof(f636,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f448]) ).
fof(f637,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f448]) ).
fof(f642,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,[],[f282]) ).
fof(f655,plain,
! [X3,X0,X1,X4] :
( rcircle(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f453]) ).
fof(f656,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f453]) ).
fof(f657,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f453]) ).
fof(f662,plain,
v0 = vd684,
inference(cnf_transformation,[],[f110]) ).
fof(f683,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f307]) ).
fof(f684,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,[],[f309]) ).
fof(f705,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,[],[f331]) ).
fof(f715,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f351]) ).
fof(f821,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,[],[f416]) ).
fof(f832,plain,
vangle(sK3,sK1,vd1329) != vangle(sK3,sK2,vd1303),
inference(definition_unfolding,[],[f507,f523,f527,f523,f525,f520]) ).
fof(f833,plain,
vangle(sK3,vd1303,sK2) = vangle(sK3,vd1329,sK1),
inference(definition_unfolding,[],[f508,f523,f520,f525,f523,f527]) ).
fof(f834,plain,
vf(vd1303,sK2) = vf(vd1329,sK1),
inference(definition_unfolding,[],[f509,f520,f525,f527]) ).
fof(f835,plain,
vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2),
inference(definition_unfolding,[],[f510,f527,f523,f525,f520,f523,f525]) ).
fof(f836,plain,
vangle(sK1,sK3,sK2) = vangle(sK1,sK3,vd1329),
inference(definition_unfolding,[],[f511,f527,f523,f525,f527,f523]) ).
fof(f837,plain,
~ rR(sK3,sK2,vd1329),
inference(definition_unfolding,[],[f512,f523,f525]) ).
fof(f840,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f519,f527,f523,f520]) ).
fof(f841,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f517,f525,f523,f516]) ).
fof(f843,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f530,f527,f525]) ).
fof(f848,plain,
vd1329 != sK3,
inference(definition_unfolding,[],[f552,f523]) ).
fof(f849,plain,
vf(sK3,vd1303) = vf(sK3,vd1329),
inference(definition_unfolding,[],[f553,f523,f520,f523]) ).
fof(f850,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f554,f523,f527]) ).
fof(f851,plain,
vd1303 != sK3,
inference(definition_unfolding,[],[f555,f523,f520]) ).
fof(f884,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f589,f523,f525]) ).
fof(f886,plain,
vd1329 != vd1303,
inference(definition_unfolding,[],[f591,f520]) ).
fof(f887,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f592,f520]) ).
fof(f891,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f597,f525]) ).
fof(f893,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f607,f516]) ).
fof(f894,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f608,f527]) ).
fof(f895,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f609,f523]) ).
fof(f896,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f610,f523]) ).
fof(f897,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,[],[f615,f662]) ).
fof(f898,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,[],[f614,f662]) ).
fof(f899,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,[],[f613,f662]) ).
fof(f900,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f637,f662]) ).
fof(f901,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f636,f662]) ).
fof(f906,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,[],[f532]) ).
fof(f907,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,[],[f906]) ).
fof(f908,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,[],[f907]) ).
fof(f909,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,[],[f908]) ).
fof(f910,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,[],[f909]) ).
fof(f911,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,[],[f910]) ).
fof(f912,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ ron(X13,X8)
| 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)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f911]) ).
fof(f913,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,[],[f533]) ).
fof(f914,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,[],[f913]) ).
fof(f915,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,[],[f914]) ).
fof(f916,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X5,X6,X4)
| rR(X6,X7,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f915]) ).
fof(f917,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,[],[f537]) ).
fof(f918,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f917]) ).
fof(f919,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f918]) ).
fof(f920,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,[],[f536]) ).
fof(f921,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f920]) ).
fof(f922,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f921]) ).
fof(f923,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f922]) ).
fof(f924,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,[],[f535]) ).
fof(f925,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f924]) ).
fof(f926,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f925]) ).
fof(f927,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f926]) ).
fof(f928,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,[],[f534]) ).
fof(f929,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f928]) ).
fof(f930,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f929]) ).
fof(f1025,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,[],[f605]) ).
fof(f1026,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,[],[f1025]) ).
fof(f1027,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,[],[f1026]) ).
fof(f1028,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1027]) ).
fof(f1035,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,[],[f897]) ).
fof(f1036,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,[],[f1035]) ).
fof(f1037,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,[],[f1036]) ).
fof(f1038,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,[],[f1037]) ).
fof(f1039,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,[],[f898]) ).
fof(f1040,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,[],[f1039]) ).
fof(f1041,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,[],[f1040]) ).
fof(f1042,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1041]) ).
fof(f1043,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,[],[f899]) ).
fof(f1044,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,[],[f1043]) ).
fof(f1045,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,[],[f1044]) ).
fof(f1046,plain,
! [X3,X1,X7,X5] :
( ~ ron(X5,X7)
| rR(X1,X3,X5)
| vd684 = vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1045]) ).
fof(f1047,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f616]) ).
fof(f1048,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f1047]) ).
fof(f1061,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f624]) ).
fof(f1062,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1061]) ).
fof(f1063,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f623]) ).
fof(f1064,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1063]) ).
fof(f1065,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f622]) ).
fof(f1066,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1065]) ).
fof(f1099,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,[],[f635]) ).
fof(f1100,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,[],[f1099]) ).
fof(f1101,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,[],[f1100]) ).
fof(f1102,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f900]) ).
fof(f1103,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1102]) ).
fof(f1104,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1103]) ).
fof(f1105,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f901]) ).
fof(f1106,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1105]) ).
fof(f1120,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,[],[f642]) ).
fof(f1121,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,[],[f1120]) ).
fof(f1122,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,[],[f1121]) ).
fof(f1123,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X4,X7,X6)
| rR(X4,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1122]) ).
fof(f1156,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f657]) ).
fof(f1157,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1156]) ).
fof(f1158,plain,
! [X3,X0,X4] :
( rcenter(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f656]) ).
fof(f1159,plain,
! [X3,X4] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1158]) ).
fof(f1160,plain,
! [X3,X0,X4] :
( rcircle(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f655]) ).
fof(f1161,plain,
! [X3,X4] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1160]) ).
fof(f1215,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,[],[f684]) ).
fof(f1216,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,[],[f1215]) ).
fof(f1217,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,[],[f1216]) ).
fof(f1218,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| X4 = X5
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1217]) ).
fof(f1295,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,[],[f705]) ).
fof(f1296,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,[],[f1295]) ).
fof(f1297,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,[],[f1296]) ).
fof(f1298,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,[],[f1297]) ).
fof(f1299,plain,
! [X8,X6,X9,X7,X4] :
( ~ rinside(X9,X6)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| rR(X9,X8,X7)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1298]) ).
fof(f1344,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f715]) ).
fof(f1345,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X5,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1344]) ).
fof(f1346,plain,
! [X0,X6,X7,X4,X5] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X0,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1345]) ).
fof(f1347,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X5,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1346]) ).
fof(f1630,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,[],[f821]) ).
fof(f1631,plain,
! [X2,X3,X6,X4,X5] :
( vf(X2,X5) != vf(X2,X6)
| X3 = X4
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1630]) ).
fof(f1676,definition,
sF52 = vangle(sK3,sK1,vd1329),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1677,plain,
vangle(sK3,sK1,vd1329) = sF52,
inference(reorient_equations,[],[f1676]) ).
fof(f1678,definition,
sF53 = vangle(sK3,sK2,vd1303),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1679,plain,
vangle(sK3,sK2,vd1303) = sF53,
inference(reorient_equations,[],[f1678]) ).
fof(f1680,plain,
sF52 != sF53,
inference(definition_folding,[],[f832,f1679,f1677]) ).
fof(f1681,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f1104]) ).
fof(f1682,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f927]) ).
fof(f1683,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f923]) ).
fof(f1766,definition,
( spl54_20
<=> vd1300 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_20])],[avatar_definition]) ).
fof(f1767,plain,
( vd1300 = sK3
| ~ spl54_20 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1768,plain,
( vd1300 != sK3
| spl54_20 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1772,definition,
( spl54_21
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f1774,plain,
( sK1 != sK3
| spl54_21 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1849,plain,
~ spl54_21,
inference(avatar_split_clause,[],[f850,f1772]) ).
fof(f1850,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f930,f840]) ).
fof(f1851,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f930,f841]) ).
fof(f1852,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1851,f521]) ).
fof(f1853,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1850,f518]) ).
fof(f1854,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1852,f524]) ).
fof(f1855,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1853,f526]) ).
fof(f1856,plain,
rR(sK2,vd1300,sK3),
inference(forward_subsumption_resolution,[],[f1854,f522]) ).
fof(f1857,plain,
rR(sK1,vd1303,sK3),
inference(forward_subsumption_resolution,[],[f1855,f522]) ).
fof(f1863,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK3,X0,X1)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rline(vd1295)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f912,f896]) ).
fof(f1865,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK3,X0,X1)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rline(vd1297)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f895,f912]) ).
fof(f1872,plain,
! [X0,X1] :
( ~ rpoint(X1)
| vd1329 = X1
| ~ rpoint(X0)
| vd1329 = X0
| vangle(X0,X1,vd1329) = vangle(vd1329,X1,X0) ),
inference(resolution,[],[f1101,f515]) ).
fof(f1875,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK1 = X1
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,X1,sK1) = vangle(sK1,X1,X0) ),
inference(resolution,[],[f1101,f526]) ).
fof(f1876,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK2 = X1
| ~ rpoint(X0)
| sK2 = X0
| vangle(X0,X1,sK2) = vangle(sK2,X1,X0) ),
inference(resolution,[],[f1101,f524]) ).
fof(f1880,plain,
vd684 = vf(vd1303,vd1303),
inference(resolution,[],[f1681,f518]) ).
fof(f1881,plain,
vd684 = vf(sK1,sK1),
inference(resolution,[],[f1681,f526]) ).
fof(f1886,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| vd684 = vangle(X1,X0,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| ~ rline(vd1295)
| ~ rpoint(vd1329)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1046,f606]) ).
fof(f1892,plain,
! [X0,X1] :
( rR(X0,X1,vd1303)
| vd684 = vangle(X1,X0,vd1303)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| vd1303 = X0
| X0 = X1
| ~ rline(vd1297)
| ~ rpoint(vd1303)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1046,f887]) ).
fof(f1896,plain,
( ~ rR(vd1303,sK1,sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK1) ),
inference(resolution,[],[f919,f1857]) ).
fof(f1901,plain,
( ~ rR(vd1303,sK1,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1896,f522]) ).
fof(f1906,plain,
( ~ rR(vd1303,sK1,sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1901,f518]) ).
fof(f1911,plain,
~ rR(vd1303,sK1,sK3),
inference(forward_subsumption_resolution,[],[f1906,f526]) ).
fof(f1918,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f1123,f1857]) ).
fof(f1919,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f1123,f1856]) ).
fof(f1922,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1919,f522]) ).
fof(f1923,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1918,f522]) ).
fof(f1928,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1922,f524]) ).
fof(f1929,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1923,f526]) ).
fof(f1934,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1928,f521]) ).
fof(f1935,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1929,f518]) ).
fof(f1942,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f916,f1857]) ).
fof(f1943,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f916,f1856]) ).
fof(f1946,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1943,f522]) ).
fof(f1947,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1942,f522]) ).
fof(f1952,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1946,f524]) ).
fof(f1953,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1947,f526]) ).
fof(f1958,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1952,f521]) ).
fof(f1959,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1953,f518]) ).
fof(f1971,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1329,X0) = vf(X0,vd1329) ),
inference(resolution,[],[f1048,f515]) ).
fof(f1977,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1062,f1046]) ).
fof(f1980,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1977]) ).
fof(f1982,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| X0 = X1
| ~ ron(X2,sK8(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1980,f1066]) ).
fof(f1983,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK8(X1,X0))
| X0 = X2
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1982,f1062]) ).
fof(f1984,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK8(X1,X0))
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1983]) ).
fof(f1985,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK8(X1,X0))
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1984,f1683]) ).
fof(f1988,plain,
! [X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X1)
| vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1) ),
inference(resolution,[],[f1064,f1985]) ).
fof(f1991,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f1064,f912]) ).
fof(f1992,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1991]) ).
fof(f1995,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1988]) ).
fof(f1996,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f1992,f1066]) ).
fof(f2000,plain,
! [X0] :
( ~ rpoint(X0)
| vd1303 = X0
| vd684 = vangle(X0,vd1303,X0) ),
inference(resolution,[],[f1995,f518]) ).
fof(f2003,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(X0,sK3,X0) ),
inference(resolution,[],[f1995,f522]) ).
fof(f2014,plain,
! [X0] :
( vd684 != sF53
| ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| vd1303 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1042,f1679]) ).
fof(f2021,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vd1295)
| ~ ron(sK3,X1)
| vd1295 = X1
| ~ rline(X1)
| ~ rline(vd1295)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1218,f896]) ).
fof(f2034,plain,
vf(vd1329,sK1) = vf(sK1,vd1329),
inference(resolution,[],[f1971,f526]) ).
fof(f2038,plain,
vf(vd1303,sK2) = vf(sK1,vd1329),
inference(forward_demodulation,[],[f2034,f834]) ).
fof(f2054,definition,
( spl54_37
<=> vd1303 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_37])],[avatar_definition]) ).
fof(f2055,plain,
( vd1303 != sK1
| spl54_37 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2056,plain,
( vd1303 = sK1
| ~ spl54_37 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2072,definition,
( spl54_41
<=> vd1329 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_41])],[avatar_definition]) ).
fof(f2073,plain,
( vd1329 != sK1
| spl54_41 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2074,plain,
( vd1329 = sK1
| ~ spl54_41 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2088,plain,
( vd1303 = sK3
| vd684 = vangle(vd1303,sK3,vd1303) ),
inference(resolution,[],[f2003,f518]) ).
fof(f2090,plain,
( sK2 = sK3
| vd684 = vangle(sK2,sK3,sK2) ),
inference(resolution,[],[f2003,f524]) ).
fof(f2092,plain,
vd684 = vangle(sK2,sK3,sK2),
inference(forward_subsumption_resolution,[],[f2090,f884]) ).
fof(f2094,plain,
vd684 = vangle(vd1303,sK3,vd1303),
inference(forward_subsumption_resolution,[],[f2088,f851]) ).
fof(f2106,plain,
( rR(sK2,sK3,sK3)
| ~ spl54_20 ),
inference(superposition,[],[f1856,f1767]) ).
fof(f2114,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_20 ),
inference(resolution,[],[f2106,f1683]) ).
fof(f2119,plain,
( ~ rpoint(sK2)
| ~ spl54_20 ),
inference(forward_subsumption_resolution,[],[f2114,f522]) ).
fof(f2122,plain,
( $false
| ~ spl54_20 ),
inference(forward_subsumption_resolution,[],[f2119,f524]) ).
fof(f2123,plain,
~ spl54_20,
inference(avatar_contradiction_clause,[],[f2122]) ).
fof(f2155,definition,
( spl54_44
<=> vd1303 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_44])],[avatar_definition]) ).
fof(f2156,plain,
( vd1303 != sK2
| spl54_44 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f2157,plain,
( vd1303 = sK2
| ~ spl54_44 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f2222,plain,
( vangle(sK3,vd1303,sK2) = vangle(sK3,sK1,sK1)
| ~ spl54_41 ),
inference(superposition,[],[f833,f2074]) ).
fof(f2229,plain,
( sF52 = vangle(sK3,sK1,sK1)
| ~ spl54_41 ),
inference(superposition,[],[f1677,f2074]) ).
fof(f2235,plain,
( vangle(sK3,vd1303,sK2) = sF52
| ~ spl54_41 ),
inference(forward_demodulation,[],[f2222,f2229]) ).
fof(f2243,plain,
( vf(vd1303,sK2) = vf(sK1,sK1)
| ~ spl54_41 ),
inference(superposition,[],[f2038,f2074]) ).
fof(f2245,plain,
( vd684 = vf(vd1303,sK2)
| ~ spl54_41 ),
inference(forward_demodulation,[],[f2243,f1881]) ).
fof(f2253,plain,
( vd684 != vf(vd1303,sK2)
| vd1329 = sK1
| ~ rpoint(sK1)
| ~ rpoint(vd1329) ),
inference(superposition,[],[f1106,f834]) ).
fof(f2276,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f1028,f1857]) ).
fof(f2289,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f1347,f1857]) ).
fof(f2290,plain,
! [X0] :
( ~ rR(sK2,vd1300,X0)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f1347,f1856]) ).
fof(f2293,plain,
! [X0] :
( ~ rR(sK2,vd1300,X0)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f2290,f522]) ).
fof(f2294,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2289,f522]) ).
fof(f2299,plain,
! [X0] :
( ~ rR(sK2,vd1300,X0)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f2293,f524]) ).
fof(f2300,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2294,f526]) ).
fof(f2305,plain,
! [X0] :
( ~ rR(sK2,sK3,X0)
| ~ rR(sK2,vd1300,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2299,f521]) ).
fof(f2306,plain,
! [X0] :
( ~ rR(sK1,sK3,X0)
| ~ rR(sK1,vd1303,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2300,f518]) ).
fof(f2320,plain,
( vd1303 = sK3
| vd684 = vangle(sK3,vd1303,sK3) ),
inference(resolution,[],[f2000,f522]) ).
fof(f2321,plain,
vd684 = vangle(sK3,vd1303,sK3),
inference(forward_subsumption_resolution,[],[f2320,f851]) ).
fof(f2539,plain,
! [X0] :
( sK1 = sK3
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK3,sK1) = vangle(sK1,sK3,X0) ),
inference(resolution,[],[f1875,f522]) ).
fof(f2540,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK3,sK1) = vangle(sK1,sK3,X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2539,f1774]) ).
fof(f2635,plain,
( sK1 = sK2
| vangle(sK1,sK3,sK2) = vangle(sK2,sK3,sK1)
| spl54_21 ),
inference(resolution,[],[f2540,f524]) ).
fof(f2638,plain,
( vangle(sK1,sK3,sK2) = vangle(sK2,sK3,sK1)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2635,f843]) ).
fof(f2662,plain,
! [X0] :
( sK2 = sK3
| ~ rpoint(X0)
| sK2 = X0
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,X0) ),
inference(resolution,[],[f1876,f522]) ).
fof(f2663,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f2662,f884]) ).
fof(f2718,plain,
( vd1303 = sK2
| vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,vd1303) ),
inference(resolution,[],[f2663,f518]) ).
fof(f2746,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,sK1)
| spl54_21 ),
inference(forward_demodulation,[],[f2638,f835]) ).
fof(f2798,plain,
! [X2,X0,X1] :
( vf(sK3,vd1303) != vf(sK3,X0)
| X1 = X2
| ~ ron(X0,X2)
| ~ ron(vd1329,X1)
| ~ rcenter(sK3,X2)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(vd1329) ),
inference(superposition,[],[f1631,f849]) ).
fof(f2811,plain,
! [X2,X0,X1] :
( vf(sK3,vd1303) != vf(sK3,X0)
| X1 = X2
| ~ ron(X0,X2)
| ~ ron(vd1329,X1)
| ~ rcenter(sK3,X2)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2798,f515]) ).
fof(f2916,plain,
! [X0] :
( vd1329 = sK3
| ~ rpoint(X0)
| vd1329 = X0
| vangle(X0,sK3,vd1329) = vangle(vd1329,sK3,X0) ),
inference(resolution,[],[f1872,f522]) ).
fof(f2917,plain,
! [X0] :
( ~ rpoint(X0)
| vd1329 = X0
| vangle(X0,sK3,vd1329) = vangle(vd1329,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f2916,f848]) ).
fof(f2936,plain,
( vd684 != vd684
| vd1303 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1303)
| ~ spl54_41 ),
inference(superposition,[],[f1106,f2245]) ).
fof(f2937,plain,
( vd1303 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1303)
| ~ spl54_41 ),
inference(trivial_inequality_removal,[],[f2936]) ).
fof(f2938,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1303)
| ~ spl54_41
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f2937,f2156]) ).
fof(f2941,plain,
( ~ rpoint(vd1303)
| ~ spl54_41
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f2938,f524]) ).
fof(f2942,plain,
( $false
| ~ spl54_41
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f2941,f518]) ).
fof(f2943,plain,
( ~ spl54_41
| spl54_44 ),
inference(avatar_contradiction_clause,[],[f2942]) ).
fof(f2952,plain,
( sF53 = vangle(sK3,vd1303,vd1303)
| ~ spl54_44 ),
inference(superposition,[],[f1679,f2157]) ).
fof(f2966,plain,
( sF52 = vangle(sK3,vd1303,vd1303)
| ~ spl54_41
| ~ spl54_44 ),
inference(superposition,[],[f2235,f2157]) ).
fof(f2982,plain,
( sF52 = sF53
| ~ spl54_41
| ~ spl54_44 ),
inference(forward_demodulation,[],[f2952,f2966]) ).
fof(f2986,plain,
( $false
| ~ spl54_41
| ~ spl54_44 ),
inference(forward_subsumption_resolution,[],[f2982,f1680]) ).
fof(f2987,plain,
( ~ spl54_41
| ~ spl54_44 ),
inference(avatar_contradiction_clause,[],[f2986]) ).
fof(f2994,plain,
( vd684 != vf(vd1303,sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1329)
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f2253,f2073]) ).
fof(f3032,plain,
( vd684 != vf(vd1303,sK2)
| ~ rpoint(vd1329)
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f2994,f526]) ).
fof(f3051,plain,
( vd684 != vf(vd1303,sK2)
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f3032,f515]) ).
fof(f3058,plain,
( vd684 != vf(vd1303,vd1303)
| spl54_41
| ~ spl54_44 ),
inference(forward_demodulation,[],[f3051,f2157]) ).
fof(f3063,plain,
( $false
| spl54_41
| ~ spl54_44 ),
inference(forward_subsumption_resolution,[],[f3058,f1880]) ).
fof(f3064,plain,
( spl54_41
| ~ spl54_44 ),
inference(avatar_contradiction_clause,[],[f3063]) ).
fof(f3067,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,vd1303)
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f2718,f2156]) ).
fof(f3159,plain,
( vd1329 = vd1303
| vangle(vd1329,sK3,vd1303) = vangle(vd1303,sK3,vd1329) ),
inference(resolution,[],[f2917,f518]) ).
fof(f3166,plain,
vangle(vd1329,sK3,vd1303) = vangle(vd1303,sK3,vd1329),
inference(forward_subsumption_resolution,[],[f3159,f886]) ).
fof(f3194,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,vd1329)
| ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| vd1303 = sK3
| vd1329 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1042,f3166]) ).
fof(f3886,plain,
! [X0,X1] :
( X0 = X1
| ~ ron(vd1303,X1)
| ~ ron(vd1329,X0)
| ~ rcenter(sK3,X1)
| ~ rcenter(sK3,X0)
| ~ rpoint(vd1303) ),
inference(equality_resolution,[],[f2811]) ).
fof(f3890,plain,
! [X0,X1] :
( ~ rcenter(sK3,X1)
| ~ ron(vd1303,X1)
| ~ ron(vd1329,X0)
| X0 = X1
| ~ rcenter(sK3,X0) ),
inference(forward_subsumption_resolution,[],[f3886,f518]) ).
fof(f4020,plain,
! [X0,X1] :
( ~ ron(vd1303,sK12(sK3,X0))
| ~ ron(vd1329,X1)
| sK12(sK3,X0) = X1
| ~ rcenter(sK3,X1)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f3890,f1159]) ).
fof(f4021,plain,
! [X0,X1] :
( ~ ron(vd1303,sK12(sK3,X0))
| ~ ron(vd1329,X1)
| sK12(sK3,X0) = X1
| ~ rcenter(sK3,X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f4020,f522]) ).
fof(f4753,plain,
! [X0] :
( ~ ron(vd1329,X0)
| sK12(sK3,vd1303) = X0
| ~ rcenter(sK3,X0)
| vd1303 = sK3
| ~ rpoint(vd1303)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f4021,f1157]) ).
fof(f4755,plain,
! [X0] :
( ~ ron(vd1329,X0)
| sK12(sK3,vd1303) = X0
| ~ rcenter(sK3,X0)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f4753]) ).
fof(f4756,plain,
! [X0] :
( ~ ron(vd1329,X0)
| sK12(sK3,vd1303) = X0
| ~ rcenter(sK3,X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4755,f851]) ).
fof(f4757,plain,
! [X0] :
( ~ ron(vd1329,X0)
| sK12(sK3,vd1303) = X0
| ~ rcenter(sK3,X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4756,f518]) ).
fof(f4758,plain,
! [X0] :
( ~ rcenter(sK3,X0)
| sK12(sK3,vd1303) = X0
| ~ ron(vd1329,X0) ),
inference(forward_subsumption_resolution,[],[f4757,f522]) ).
fof(f4970,plain,
! [X0,X1] :
( rinside(X0,sK12(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f683,f1159]) ).
fof(f4974,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK12(X0,X1))
| ~ ron(X3,sK12(X0,X1))
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rcircle(sK12(X0,X1))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f4970,f1299]) ).
fof(f4977,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK12(X0,X1))
| ~ ron(X3,sK12(X0,X1))
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rcircle(sK12(X0,X1))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f4974]) ).
fof(f4979,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK12(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK12(X0,X1))
| X0 = X1
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f4977,f1161]) ).
fof(f5401,plain,
! [X0] :
( sK12(sK3,X0) = sK12(sK3,vd1303)
| ~ ron(vd1329,sK12(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f4758,f1159]) ).
fof(f5402,plain,
! [X0] :
( ~ ron(vd1329,sK12(sK3,X0))
| sK12(sK3,X0) = sK12(sK3,vd1303)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f5401,f522]) ).
fof(f5838,plain,
( sK12(sK3,vd1303) = sK12(sK3,vd1329)
| vd1329 = sK3
| ~ rpoint(vd1329)
| vd1329 = sK3
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(resolution,[],[f5402,f1157]) ).
fof(f5840,plain,
( sK12(sK3,vd1303) = sK12(sK3,vd1329)
| vd1329 = sK3
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f5838]) ).
fof(f5841,plain,
( sK12(sK3,vd1303) = sK12(sK3,vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5840,f848]) ).
fof(f5842,plain,
( sK12(sK3,vd1303) = sK12(sK3,vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5841,f515]) ).
fof(f5843,plain,
sK12(sK3,vd1303) = sK12(sK3,vd1329),
inference(forward_subsumption_resolution,[],[f5842,f522]) ).
fof(f5850,plain,
( ron(vd1329,sK12(sK3,vd1303))
| vd1329 = sK3
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1157,f5843]) ).
fof(f5853,plain,
( ron(vd1329,sK12(sK3,vd1303))
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5850,f848]) ).
fof(f5860,plain,
( ron(vd1329,sK12(sK3,vd1303))
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5853,f515]) ).
fof(f5867,plain,
ron(vd1329,sK12(sK3,vd1303)),
inference(forward_subsumption_resolution,[],[f5860,f522]) ).
fof(f7135,plain,
( rR(vd1303,vd1303,sK3)
| ~ spl54_37 ),
inference(superposition,[],[f1857,f2056]) ).
fof(f7137,plain,
( ~ rR(vd1303,vd1303,sK3)
| ~ spl54_37 ),
inference(superposition,[],[f1911,f2056]) ).
fof(f7224,plain,
( $false
| ~ spl54_37 ),
inference(forward_subsumption_resolution,[],[f7135,f7137]) ).
fof(f7225,plain,
~ spl54_37,
inference(avatar_contradiction_clause,[],[f7224]) ).
fof(f20138,definition,
( spl54_1229
<=> ron(vd1303,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_1229])],[avatar_definition]) ).
fof(f20139,plain,
( ron(vd1303,vd1295)
| ~ spl54_1229 ),
inference(avatar_component_clause,[],[f20138]) ).
fof(f20140,plain,
( ~ ron(vd1303,vd1295)
| spl54_1229 ),
inference(avatar_component_clause,[],[f20138]) ).
fof(f29025,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK3,X0,X1)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1863,f599]) ).
fof(f29027,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK3,X0,X1)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1865,f596]) ).
fof(f29034,plain,
! [X0,X1] :
( rR(X0,X1,vd1303)
| vd684 = vangle(X1,X0,vd1303)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| vd1303 = X0
| X0 = X1
| ~ rpoint(vd1303)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1892,f596]) ).
fof(f29040,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| vd684 = vangle(X1,X0,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| ~ rpoint(vd1329)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1886,f599]) ).
fof(f29043,plain,
( ! [X0] :
( vd684 != sF53
| ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f2014,f2156]) ).
fof(f29050,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vd1295)
| ~ ron(sK3,X1)
| vd1295 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2021,f599]) ).
fof(f29058,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2276,f522]) ).
fof(f29094,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,vd1329)
| ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f3194,f851]) ).
fof(f29649,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1295)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK3,X0,X1)
| ~ ron(X2,vd1295)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f29025,f522]) ).
fof(f29651,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1297)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK3,X0,X1)
| ~ ron(X2,vd1297)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f29027,f522]) ).
fof(f29658,plain,
! [X0,X1] :
( rR(X0,X1,vd1303)
| vd684 = vangle(X1,X0,vd1303)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| vd1303 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f29034,f518]) ).
fof(f29664,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| vd684 = vangle(X1,X0,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f29040,f515]) ).
fof(f29667,plain,
( ! [X0] :
( vd684 != sF53
| ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f29043,f884]) ).
fof(f29674,plain,
! [X0,X1] :
( ~ ron(sK3,X1)
| ~ ron(X0,vd1295)
| ~ ron(X0,X1)
| vd1295 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f29050,f522]) ).
fof(f29682,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f29058,f526]) ).
fof(f29716,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,vd1329)
| ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f29094,f848]) ).
fof(f31150,plain,
( ! [X0] :
( vd684 != sF53
| ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f29667,f518]) ).
fof(f31158,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ron(sK1,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f29682,f518]) ).
fof(f31185,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,vd1329)
| ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f29716,f518]) ).
fof(f31720,plain,
( ! [X0] :
( vd684 != sF53
| ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f31150,f522]) ).
fof(f31743,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,vd1329)
| ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f31185,f515]) ).
fof(f32104,plain,
( ! [X0] :
( vd684 != sF53
| ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_44 ),
inference(forward_subsumption_resolution,[],[f31720,f524]) ).
fof(f32127,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,vd1329)
| ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f31743,f522]) ).
fof(f32202,definition,
( spl54_2109
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_2109])],[avatar_definition]) ).
fof(f32203,plain,
( vd684 = sF53
| ~ spl54_2109 ),
inference(avatar_component_clause,[],[f32202]) ).
fof(f32204,plain,
( vd684 != sF53
| spl54_2109 ),
inference(avatar_component_clause,[],[f32202]) ).
fof(f32214,definition,
( spl54_2112
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_2112])],[avatar_definition]) ).
fof(f32215,plain,
( vd684 = sF52
| ~ spl54_2112 ),
inference(avatar_component_clause,[],[f32214]) ).
fof(f32216,plain,
( vd684 != sF52
| spl54_2112 ),
inference(avatar_component_clause,[],[f32214]) ).
fof(f32221,definition,
( spl54_2113
<=> ! [X0] :
( ron(vd1303,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_2113])],[avatar_definition]) ).
fof(f32222,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ron(vd1303,X0) )
| ~ spl54_2113 ),
inference(avatar_component_clause,[],[f32221]) ).
fof(f32223,plain,
( spl54_2113
| ~ spl54_2109
| spl54_44 ),
inference(avatar_split_clause,[],[f32104,f2155,f32202,f32221]) ).
fof(f32233,definition,
( spl54_2116
<=> vd684 = vangle(vd1303,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2116])],[avatar_definition]) ).
fof(f32234,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| ~ spl54_2116 ),
inference(avatar_component_clause,[],[f32233]) ).
fof(f32235,plain,
( vd684 != vangle(vd1303,sK3,sK2)
| spl54_2116 ),
inference(avatar_component_clause,[],[f32233]) ).
fof(f32242,definition,
( spl54_2118
<=> ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_2118])],[avatar_definition]) ).
fof(f32243,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) )
| ~ spl54_2118 ),
inference(avatar_component_clause,[],[f32242]) ).
fof(f32249,definition,
( spl54_2120
<=> vd684 = vangle(sK3,vd1303,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2120])],[avatar_definition]) ).
fof(f32250,plain,
( vd684 = vangle(sK3,vd1303,sK2)
| ~ spl54_2120 ),
inference(avatar_component_clause,[],[f32249]) ).
fof(f32251,plain,
( vd684 != vangle(sK3,vd1303,sK2)
| spl54_2120 ),
inference(avatar_component_clause,[],[f32249]) ).
fof(f32341,definition,
( spl54_2141
<=> vd684 = vangle(vd1303,sK3,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_2141])],[avatar_definition]) ).
fof(f32342,plain,
( vd684 = vangle(vd1303,sK3,vd1329)
| ~ spl54_2141 ),
inference(avatar_component_clause,[],[f32341]) ).
fof(f32343,plain,
( vd684 != vangle(vd1303,sK3,vd1329)
| spl54_2141 ),
inference(avatar_component_clause,[],[f32341]) ).
fof(f32346,definition,
( spl54_2142
<=> ! [X0] :
( ron(vd1303,X0)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_2142])],[avatar_definition]) ).
fof(f32347,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0) )
| ~ spl54_2142 ),
inference(avatar_component_clause,[],[f32346]) ).
fof(f32348,plain,
( spl54_2142
| ~ spl54_2141 ),
inference(avatar_split_clause,[],[f32127,f32341,f32346]) ).
fof(f32880,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1996,f1062]) ).
fof(f32890,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ rpoint(X0)
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f32880]) ).
fof(f32904,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,vd1329)
| sK3 = X1
| vd1329 = sK3
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(vd1329,sK3,X1) = vangle(X0,sK3,X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1329)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f29649,f606]) ).
fof(f32906,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f29649,f891]) ).
fof(f32922,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,sK2)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32906,f884]) ).
fof(f32924,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,vd1329)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(vd1329,sK3,X1) = vangle(X0,sK3,X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1329)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32904,f848]) ).
fof(f32932,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| rR(sK3,X0,sK2)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32922,f524]) ).
fof(f32934,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| rR(sK3,X0,vd1329)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(vd1329,sK3,X1) = vangle(X0,sK3,X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32924,f515]) ).
fof(f32991,plain,
! [X0,X1] :
( sK3 = X0
| vd1303 = sK3
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,vd1329)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1295)
| vangle(vd1329,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(resolution,[],[f32934,f887]) ).
fof(f33080,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,vd1329)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1295)
| vangle(vd1329,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f32991,f851]) ).
fof(f33121,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,vd1329)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1295)
| vangle(vd1329,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33080,f596]) ).
fof(f33162,plain,
! [X0,X1] :
( rR(sK3,vd1303,X0)
| rR(sK3,X1,vd1329)
| ~ ron(X0,vd1297)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(vd1329,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33121,f518]) ).
fof(f33553,plain,
! [X0,X1] :
( sK3 = X0
| sK2 = sK3
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,sK2)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(resolution,[],[f32932,f891]) ).
fof(f33557,plain,
! [X0,X1] :
( sK3 = X0
| vd1303 = sK3
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK2)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(resolution,[],[f32932,f887]) ).
fof(f33601,plain,
! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,sK2)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1295)
| vangle(sK2,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f32932,f1062]) ).
fof(f33614,plain,
! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,sK2)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1295)
| vangle(sK2,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f33601]) ).
fof(f33622,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(X3,X1))
| sK3 = X1
| sK3 = X2
| sK3 = X0
| rR(sK3,X2,sK2)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1295)
| vangle(sK2,sK3,X0) = vangle(X2,sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f33614,f1066]) ).
fof(f33646,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK2)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33557,f851]) ).
fof(f33648,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,sK2)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33553,f884]) ).
fof(f33687,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK2)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33646,f596]) ).
fof(f33689,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,sK2)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33648,f599]) ).
fof(f33728,plain,
! [X0,X1] :
( rR(sK3,vd1303,X0)
| rR(sK3,X1,sK2)
| ~ ron(X0,vd1297)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33687,f518]) ).
fof(f33730,plain,
! [X0,X1] :
( rR(sK3,sK2,X0)
| rR(sK3,X1,sK2)
| ~ ron(X0,vd1295)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f33689,f524]) ).
fof(f33909,definition,
( spl54_2199
<=> vd684 = vangle(sK2,sK3,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_2199])],[avatar_definition]) ).
fof(f33910,plain,
( vd684 != vangle(sK2,sK3,vd1329)
| spl54_2199 ),
inference(avatar_component_clause,[],[f33909]) ).
fof(f33911,plain,
( vd684 = vangle(sK2,sK3,vd1329)
| ~ spl54_2199 ),
inference(avatar_component_clause,[],[f33909]) ).
fof(f34026,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,vd1303)
| sK3 = X1
| vd1303 = sK3
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK3,X2) = vangle(vd1303,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f29651,f887]) ).
fof(f34041,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,vd1303)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK3,X2) = vangle(vd1303,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f34026,f851]) ).
fof(f34050,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| rR(sK3,X0,vd1303)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK3,X2) = vangle(vd1303,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f34041,f518]) ).
fof(f34057,definition,
( spl54_2203
<=> ron(sK2,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_2203])],[avatar_definition]) ).
fof(f34058,plain,
( ron(sK2,vd1297)
| ~ spl54_2203 ),
inference(avatar_component_clause,[],[f34057]) ).
fof(f34059,plain,
( ~ ron(sK2,vd1297)
| spl54_2203 ),
inference(avatar_component_clause,[],[f34057]) ).
fof(f34539,plain,
! [X0] :
( rR(sK3,X0,sK2)
| ~ ron(vd1329,vd1295)
| sK3 = X0
| vd1329 = sK3
| ~ ron(X0,vd1295)
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(resolution,[],[f33730,f837]) ).
fof(f34608,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| vd1329 = sK3
| ~ ron(X0,vd1295)
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f34539,f606]) ).
fof(f34629,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f34608,f848]) ).
fof(f34638,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f34629,f515]) ).
fof(f34647,plain,
( ! [X0] :
( rR(sK3,X0,sK2)
| vd684 = vangle(X0,sK3,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| ~ rpoint(X0) )
| ~ spl54_2199 ),
inference(forward_demodulation,[],[f34638,f33911]) ).
fof(f34677,plain,
( vd684 = vangle(vd1300,sK3,sK2)
| vd1300 = sK3
| ~ ron(vd1300,vd1295)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| ~ spl54_2199 ),
inference(resolution,[],[f34647,f1934]) ).
fof(f34692,plain,
( vd684 = vangle(vd1300,sK3,sK2)
| ~ ron(vd1300,vd1295)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_20
| ~ spl54_2199 ),
inference(forward_subsumption_resolution,[],[f34677,f1768]) ).
fof(f34702,plain,
( vd684 = vangle(vd1300,sK3,sK2)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_20
| ~ spl54_2199 ),
inference(forward_subsumption_resolution,[],[f34692,f893]) ).
fof(f34712,plain,
( vd684 = vangle(vd1300,sK3,sK2)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_20
| ~ spl54_2199 ),
inference(forward_subsumption_resolution,[],[f34702,f521]) ).
fof(f34716,plain,
( vd684 = vangle(vd1300,sK3,sK2)
| rR(sK3,vd1300,sK3)
| spl54_20
| ~ spl54_2199 ),
inference(forward_subsumption_resolution,[],[f34712,f522]) ).
fof(f34721,definition,
( spl54_2214
<=> rR(sK3,vd1300,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_2214])],[avatar_definition]) ).
fof(f34722,plain,
( ~ rR(sK3,vd1300,sK3)
| spl54_2214 ),
inference(avatar_component_clause,[],[f34721]) ).
fof(f34723,plain,
( rR(sK3,vd1300,sK3)
| ~ spl54_2214 ),
inference(avatar_component_clause,[],[f34721]) ).
fof(f34725,definition,
( spl54_2215
<=> vd684 = vangle(vd1300,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2215])],[avatar_definition]) ).
fof(f34727,plain,
( vd684 = vangle(vd1300,sK3,sK2)
| ~ spl54_2215 ),
inference(avatar_component_clause,[],[f34725]) ).
fof(f34728,plain,
( spl54_2214
| spl54_2215
| spl54_20
| ~ spl54_2199 ),
inference(avatar_split_clause,[],[f34716,f33909,f1766,f34725,f34721]) ).
fof(f34735,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| X0 = X3
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f32890,f1062]) ).
fof(f34745,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f34735]) ).
fof(f34753,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X2,X4)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f34745,f1683]) ).
fof(f34769,plain,
! [X2,X0,X1] :
( rR(X0,X1,sK2)
| sK2 = X0
| X0 = X2
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,sK2)
| ~ rline(vd1295)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(resolution,[],[f34753,f891]) ).
fof(f34872,plain,
! [X2,X0,X1] :
( rR(X0,X1,sK2)
| sK2 = X0
| X0 = X2
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,vd1295)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,sK2)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f34769,f599]) ).
fof(f34921,plain,
! [X2,X0,X1] :
( ~ ron(X1,vd1295)
| sK2 = X0
| X0 = X2
| X0 = X1
| ~ rpoint(X0)
| rR(X0,X1,sK2)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f34872,f524]) ).
fof(f35054,plain,
! [X2,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| rR(sK3,X1,sK2)
| rR(sK3,X0,X2)
| ~ ron(X1,vd1295)
| vangle(X1,sK3,X0) = vangle(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f33622,f1064]) ).
fof(f35062,plain,
! [X2,X0,X1] :
( rR(sK3,X1,sK2)
| rR(sK3,X0,X2)
| sK3 = X2
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(X1,sK3,X0) = vangle(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f35054]) ).
fof(f36028,definition,
( spl54_2225
<=> rR(sK3,vd1300,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2225])],[avatar_definition]) ).
fof(f36029,plain,
( rR(sK3,vd1300,sK2)
| ~ spl54_2225 ),
inference(avatar_component_clause,[],[f36028]) ).
fof(f36030,plain,
( ~ rR(sK3,vd1300,sK2)
| spl54_2225 ),
inference(avatar_component_clause,[],[f36028]) ).
fof(f36095,plain,
( rR(sK3,sK3,vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_2214 ),
inference(resolution,[],[f34723,f930]) ).
fof(f36108,plain,
( rR(sK3,sK3,vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_2214 ),
inference(duplicate_literal_removal,[],[f36095]) ).
fof(f36113,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_2214 ),
inference(forward_subsumption_resolution,[],[f36108,f1682]) ).
fof(f36116,plain,
( ~ rpoint(vd1300)
| ~ spl54_2214 ),
inference(forward_subsumption_resolution,[],[f36113,f522]) ).
fof(f36119,plain,
( $false
| ~ spl54_2214 ),
inference(forward_subsumption_resolution,[],[f36116,f521]) ).
fof(f36120,plain,
~ spl54_2214,
inference(avatar_contradiction_clause,[],[f36119]) ).
fof(f36137,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK3,vd1300,sK2)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| ~ spl54_2215 ),
inference(superposition,[],[f1038,f34727]) ).
fof(f36142,plain,
( ! [X0] :
( ~ rR(sK3,vd1300,sK2)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| ~ spl54_2215 ),
inference(trivial_inequality_removal,[],[f36137]) ).
fof(f36831,definition,
( spl54_2235
<=> rR(sK3,vd1303,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2235])],[avatar_definition]) ).
fof(f36832,plain,
( rR(sK3,vd1303,sK2)
| ~ spl54_2235 ),
inference(avatar_component_clause,[],[f36831]) ).
fof(f36833,plain,
( ~ rR(sK3,vd1303,sK2)
| spl54_2235 ),
inference(avatar_component_clause,[],[f36831]) ).
fof(f37324,plain,
! [X0] :
( rR(sK3,X0,sK2)
| ~ ron(vd1303,vd1297)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f33728,f1683]) ).
fof(f37351,plain,
! [X0] :
( rR(sK3,X0,sK2)
| ~ ron(vd1303,vd1297)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f37324]) ).
fof(f37372,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f37351,f887]) ).
fof(f37393,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f37372,f851]) ).
fof(f37408,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f37393,f518]) ).
fof(f37417,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f37408,f522]) ).
fof(f37424,plain,
( ! [X0] :
( vangle(vd1303,sK3,sK2) = vangle(X0,sK3,vd1303)
| rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| ~ rpoint(X0) )
| spl54_44 ),
inference(forward_demodulation,[],[f37417,f3067]) ).
fof(f37433,plain,
( ! [X0] :
( rR(sK3,X0,sK2)
| vd684 = vangle(X0,sK3,vd1303)
| sK3 = X0
| ~ ron(X0,vd1295)
| ~ rpoint(X0) )
| spl54_44
| ~ spl54_2116 ),
inference(forward_demodulation,[],[f37424,f32234]) ).
fof(f37462,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| vd1300 = sK3
| ~ ron(vd1300,vd1295)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_44
| ~ spl54_2116 ),
inference(resolution,[],[f37433,f1934]) ).
fof(f37477,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| ~ ron(vd1300,vd1295)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f37462,f1768]) ).
fof(f37489,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f37477,f893]) ).
fof(f37501,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f37489,f521]) ).
fof(f37507,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK3)
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f37501,f34722]) ).
fof(f37513,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f37507,f522]) ).
fof(f37537,plain,
( ! [X0] :
( vd684 != vd684
| ron(vd1329,X0)
| ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141 ),
inference(superposition,[],[f1042,f32342]) ).
fof(f37542,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141 ),
inference(trivial_inequality_removal,[],[f37537]) ).
fof(f37670,definition,
( spl54_2266
<=> rR(sK3,vd1303,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_2266])],[avatar_definition]) ).
fof(f37671,plain,
( rR(sK3,vd1303,vd1329)
| ~ spl54_2266 ),
inference(avatar_component_clause,[],[f37670]) ).
fof(f37672,plain,
( ~ rR(sK3,vd1303,vd1329)
| spl54_2266 ),
inference(avatar_component_clause,[],[f37670]) ).
fof(f38129,plain,
! [X0,X1] :
( sK3 = X0
| vd1303 = sK3
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,vd1303)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(resolution,[],[f34050,f887]) ).
fof(f38218,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,vd1303)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f38129,f851]) ).
fof(f38259,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,vd1303)
| rR(sK3,vd1303,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f38218,f596]) ).
fof(f38300,plain,
! [X0,X1] :
( rR(sK3,vd1303,X0)
| rR(sK3,X1,vd1303)
| ~ ron(X0,vd1297)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f38259,f518]) ).
fof(f38689,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK3,vd1295)
| ~ ron(sK1,vd1295)
| vd1329 = sK1
| sK1 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329) ),
inference(resolution,[],[f29664,f2306]) ).
fof(f38692,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| ~ ron(sK3,vd1295)
| vd1329 = sK3
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329) ),
inference(resolution,[],[f29664,f1959]) ).
fof(f38693,plain,
( vd684 = vangle(sK2,sK3,vd1329)
| ~ ron(sK2,vd1295)
| ~ ron(sK3,vd1295)
| vd1329 = sK3
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f29664,f837]) ).
fof(f38711,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| vd1329 = sK3
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f38692,f896]) ).
fof(f38713,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK1,vd1295)
| vd1329 = sK1
| sK1 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f38689,f896]) ).
fof(f38726,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f38711,f848]) ).
fof(f38728,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK1,vd1295)
| sK1 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f38713,f2073]) ).
fof(f38733,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f38726,f1774]) ).
fof(f38735,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK1,vd1295)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_21
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f38728,f1774]) ).
fof(f38737,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| ~ rpoint(sK3)
| rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f38733,f526]) ).
fof(f38739,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK1,vd1295)
| ~ rpoint(sK1)
| ~ rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_21
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f38735,f522]) ).
fof(f38741,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f38737,f522]) ).
fof(f38743,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK1,vd1295)
| ~ rR(sK1,vd1303,vd1329)
| ~ rpoint(vd1329)
| spl54_21
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f38739,f526]) ).
fof(f38745,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| rR(sK1,vd1303,vd1329)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f38741,f515]) ).
fof(f38747,plain,
( vd684 = vangle(sK3,sK1,vd1329)
| ~ ron(sK1,vd1295)
| ~ rR(sK1,vd1303,vd1329)
| spl54_21
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f38743,f515]) ).
fof(f38749,plain,
( vd684 = vangle(sK1,sK3,sK2)
| ~ ron(sK1,vd1295)
| rR(sK1,vd1303,vd1329)
| spl54_21 ),
inference(forward_demodulation,[],[f38745,f836]) ).
fof(f38751,plain,
( vd684 = sF52
| ~ ron(sK1,vd1295)
| ~ rR(sK1,vd1303,vd1329)
| spl54_21
| spl54_41 ),
inference(forward_demodulation,[],[f38747,f1677]) ).
fof(f38753,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| ~ ron(sK1,vd1295)
| rR(sK1,vd1303,vd1329)
| spl54_21 ),
inference(forward_demodulation,[],[f38749,f835]) ).
fof(f38830,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK2 = sK3
| sK3 = X0
| ~ ron(sK2,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(vd1329,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(resolution,[],[f33162,f837]) ).
fof(f38873,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| ~ ron(sK2,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(vd1329,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f38830,f884]) ).
fof(f38895,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(sK2,sK3,vd1303) = vangle(vd1329,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f38873,f891]) ).
fof(f38911,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(sK2,sK3,vd1303) = vangle(vd1329,sK3,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f38895,f524]) ).
fof(f38920,plain,
( ! [X0] :
( vangle(vd1303,sK3,sK2) = vangle(vd1329,sK3,X0)
| rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| ~ rpoint(X0) )
| spl54_44 ),
inference(forward_demodulation,[],[f38911,f3067]) ).
fof(f38928,plain,
( ! [X0] :
( rR(sK3,vd1303,X0)
| vd684 = vangle(vd1329,sK3,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| ~ rpoint(X0) )
| spl54_44
| ~ spl54_2116 ),
inference(forward_demodulation,[],[f38920,f32234]) ).
fof(f39044,plain,
( ~ ron(vd1303,vd1295)
| ron(sK1,vd1295)
| ~ rline(vd1295) ),
inference(resolution,[],[f31158,f896]) ).
fof(f39299,plain,
! [X0,X1] :
( sK2 = X0
| X0 = X1
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK2)
| ~ rpoint(X1)
| vangle(X1,X0,sK2) = vangle(X1,X0,sK3)
| ~ rpoint(sK3) ),
inference(resolution,[],[f34921,f896]) ).
fof(f39308,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK2)
| sK2 = X0
| vangle(X1,X0,sK2) = vangle(X1,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f39299,f522]) ).
fof(f39442,plain,
( vd684 = vangle(vd1329,sK3,vd1303)
| ~ ron(vd1303,vd1297)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| spl54_44
| ~ spl54_2116 ),
inference(resolution,[],[f38928,f1683]) ).
fof(f39443,plain,
( vd684 = vangle(vd1329,sK3,vd1303)
| ~ ron(vd1303,vd1297)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| spl54_44
| ~ spl54_2116 ),
inference(duplicate_literal_removal,[],[f39442]) ).
fof(f39453,plain,
( vd684 = vangle(vd1329,sK3,vd1303)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f39443,f887]) ).
fof(f39463,plain,
( vd684 = vangle(vd1329,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f39453,f851]) ).
fof(f39473,plain,
( vd684 = vangle(vd1329,sK3,vd1303)
| ~ rpoint(sK3)
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f39463,f518]) ).
fof(f39477,plain,
( vd684 = vangle(vd1329,sK3,vd1303)
| spl54_44
| ~ spl54_2116 ),
inference(forward_subsumption_resolution,[],[f39473,f522]) ).
fof(f39480,plain,
( vd684 = vangle(vd1303,sK3,vd1329)
| spl54_44
| ~ spl54_2116 ),
inference(forward_demodulation,[],[f39477,f3166]) ).
fof(f39793,plain,
! [X0] :
( sK3 = X0
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK2)
| sK2 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2) ),
inference(resolution,[],[f39308,f522]) ).
fof(f39794,plain,
! [X0] :
( rR(X0,sK3,sK2)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2) ),
inference(duplicate_literal_removal,[],[f39793]) ).
fof(f40587,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| ~ ron(vd1303,vd1297)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f38300,f1683]) ).
fof(f40614,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| ~ ron(vd1303,vd1297)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f40587]) ).
fof(f40634,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f40614,f887]) ).
fof(f40654,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f40634,f851]) ).
fof(f40667,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f40654,f518]) ).
fof(f40674,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(X0,sK3,vd1303)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f40667,f522]) ).
fof(f40680,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| vd684 = vangle(X0,sK3,vd1303)
| sK3 = X0
| ~ ron(X0,vd1297)
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f40674,f2094]) ).
fof(f40693,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| sK2 = sK3
| ~ ron(sK2,vd1297)
| ~ rpoint(sK2)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f40680,f1958]) ).
fof(f41861,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| ~ rline(vd1297)
| sK3 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f29674,f895]) ).
fof(f41888,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f41861,f596]) ).
fof(f41905,definition,
( spl54_2285
<=> vd1295 = vd1297 ),
introduced(definition,[new_symbols(definition,[spl54_2285])],[avatar_definition]) ).
fof(f41907,plain,
( vd1295 = vd1297
| ~ spl54_2285 ),
inference(avatar_component_clause,[],[f41905]) ).
fof(f41909,definition,
( spl54_2286
<=> ! [X0] :
( ~ ron(X0,vd1295)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297) ) ),
introduced(definition,[new_symbols(definition,[spl54_2286])],[avatar_definition]) ).
fof(f41910,plain,
( ! [X0] :
( ~ ron(X0,vd1297)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1295) )
| ~ spl54_2286 ),
inference(avatar_component_clause,[],[f41909]) ).
fof(f41911,plain,
( spl54_2285
| spl54_2286 ),
inference(avatar_split_clause,[],[f41888,f41909,f41905]) ).
fof(f41930,plain,
( ron(sK1,vd1295)
| ~ spl54_2285 ),
inference(superposition,[],[f894,f41907]) ).
fof(f41947,plain,
( ~ rpoint(sK1)
| sK1 = sK3
| ~ ron(sK1,vd1295)
| ~ spl54_2286 ),
inference(resolution,[],[f41910,f894]) ).
fof(f41956,plain,
( sK1 = sK3
| ~ ron(sK1,vd1295)
| ~ spl54_2286 ),
inference(forward_subsumption_resolution,[],[f41947,f526]) ).
fof(f41957,plain,
( ~ ron(sK1,vd1295)
| spl54_21
| ~ spl54_2286 ),
inference(forward_subsumption_resolution,[],[f41956,f1774]) ).
fof(f42501,plain,
( ! [X0] :
( vd684 != vd684
| ron(vd1303,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| vd1303 = sK3
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(superposition,[],[f1042,f37513]) ).
fof(f42504,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| vd1303 = sK3
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(trivial_inequality_removal,[],[f42501]) ).
fof(f42968,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| vd1300 = sK3
| sK3 = X0
| ~ ron(vd1300,vd1295)
| vangle(vd1300,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| X0 = X1 )
| spl54_2225 ),
inference(resolution,[],[f35062,f36030]) ).
fof(f43079,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| ~ ron(vd1300,vd1295)
| vangle(vd1300,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| X0 = X1 )
| spl54_20
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f42968,f1768]) ).
fof(f43107,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(vd1300,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| X0 = X1 )
| spl54_20
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43079,f893]) ).
fof(f43126,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(vd1300,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl54_20
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43107,f521]) ).
fof(f43321,plain,
( sK2 = sK3
| vd1303 = sK3
| vangle(sK2,sK3,sK2) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK2)
| ~ rpoint(vd1303)
| vd1303 = sK2
| spl54_20
| spl54_2225
| spl54_2235 ),
inference(resolution,[],[f43126,f36833]) ).
fof(f43341,plain,
( sK1 = sK3
| vd1303 = sK3
| vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| vd1303 = sK1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_2225 ),
inference(resolution,[],[f43126,f1935]) ).
fof(f43363,plain,
( vd1303 = sK3
| vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| vd1303 = sK1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_21
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43341,f1774]) ).
fof(f43379,plain,
( vd1303 = sK3
| vangle(sK2,sK3,sK2) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK2)
| ~ rpoint(vd1303)
| vd1303 = sK2
| spl54_20
| spl54_2225
| spl54_2235 ),
inference(forward_subsumption_resolution,[],[f43321,f884]) ).
fof(f43383,plain,
( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| vd1303 = sK1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_21
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43363,f851]) ).
fof(f43392,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(sK2)
| ~ rpoint(vd1303)
| vd1303 = sK2
| spl54_20
| spl54_2225
| spl54_2235 ),
inference(forward_subsumption_resolution,[],[f43379,f851]) ).
fof(f43396,plain,
( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(vd1303)
| vd1303 = sK1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_21
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43383,f526]) ).
fof(f43404,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1300,sK3,vd1303)
| ~ rpoint(vd1303)
| vd1303 = sK2
| spl54_20
| spl54_2225
| spl54_2235 ),
inference(forward_subsumption_resolution,[],[f43392,f524]) ).
fof(f43408,plain,
( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| vd1303 = sK1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_21
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43396,f518]) ).
fof(f43415,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1300,sK3,vd1303)
| vd1303 = sK2
| spl54_20
| spl54_2225
| spl54_2235 ),
inference(forward_subsumption_resolution,[],[f43404,f518]) ).
fof(f43418,plain,
( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_20
| spl54_21
| spl54_37
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43408,f2055]) ).
fof(f43425,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1300,sK3,vd1303)
| spl54_20
| spl54_44
| spl54_2225
| spl54_2235 ),
inference(forward_subsumption_resolution,[],[f43415,f2156]) ).
fof(f43428,plain,
( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| rR(sK3,vd1303,sK3)
| spl54_20
| spl54_21
| spl54_37
| spl54_2225 ),
inference(forward_subsumption_resolution,[],[f43418,f522]) ).
fof(f44427,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| ~ ron(sK3,vd1297)
| ~ ron(sK2,vd1297)
| vd1303 = sK2
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f29658,f2305]) ).
fof(f45548,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141 ),
inference(forward_subsumption_resolution,[],[f37542,f848]) ).
fof(f45681,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2118
| ~ spl54_2141 ),
inference(forward_subsumption_resolution,[],[f45548,f32243]) ).
fof(f45733,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2118
| ~ spl54_2141 ),
inference(forward_subsumption_resolution,[],[f45681,f851]) ).
fof(f45761,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2118
| ~ spl54_2141 ),
inference(forward_subsumption_resolution,[],[f45733,f515]) ).
fof(f45772,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_2118
| ~ spl54_2141 ),
inference(forward_subsumption_resolution,[],[f45761,f518]) ).
fof(f45779,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_2118
| ~ spl54_2141 ),
inference(forward_subsumption_resolution,[],[f45772,f522]) ).
fof(f45847,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f42504,f851]) ).
fof(f45992,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f45847,f1768]) ).
fof(f46086,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f45992,f518]) ).
fof(f46131,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f46086,f521]) ).
fof(f46141,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1300,X0)
| ron(vd1303,X0)
| ~ rline(X0) )
| spl54_20
| spl54_44
| ~ spl54_2116
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f46131,f522]) ).
fof(f46158,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| ~ ron(sK2,vd1297)
| ~ rpoint(sK2)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f40693,f884]) ).
fof(f46173,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| ~ ron(sK2,vd1297)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f46158,f524]) ).
fof(f46305,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0) )
| spl54_20
| spl54_44
| ~ spl54_2116
| ~ spl54_2118
| ~ spl54_2141
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f46141,f45779]) ).
fof(f46530,plain,
( ~ ron(vd1300,vd1295)
| ~ rline(vd1295)
| spl54_20
| spl54_44
| ~ spl54_2116
| ~ spl54_2118
| ~ spl54_2141
| spl54_2214 ),
inference(resolution,[],[f46305,f896]) ).
fof(f46557,plain,
( ~ rline(vd1295)
| spl54_20
| spl54_44
| ~ spl54_2116
| ~ spl54_2118
| ~ spl54_2141
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f46530,f893]) ).
fof(f46568,plain,
( $false
| spl54_20
| spl54_44
| ~ spl54_2116
| ~ spl54_2118
| ~ spl54_2141
| spl54_2214 ),
inference(forward_subsumption_resolution,[],[f46557,f599]) ).
fof(f46569,plain,
( spl54_20
| spl54_44
| ~ spl54_2116
| ~ spl54_2118
| ~ spl54_2141
| spl54_2214 ),
inference(avatar_contradiction_clause,[],[f46568]) ).
fof(f46585,definition,
( spl54_2319
<=> rR(sK3,vd1303,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_2319])],[avatar_definition]) ).
fof(f46586,plain,
( ~ rR(sK3,vd1303,sK3)
| spl54_2319 ),
inference(avatar_component_clause,[],[f46585]) ).
fof(f46587,plain,
( rR(sK3,vd1303,sK3)
| ~ spl54_2319 ),
inference(avatar_component_clause,[],[f46585]) ).
fof(f46594,plain,
( $false
| spl54_44
| ~ spl54_2116
| spl54_2141 ),
inference(forward_subsumption_resolution,[],[f39480,f32343]) ).
fof(f46595,plain,
( spl54_44
| ~ spl54_2116
| spl54_2141 ),
inference(avatar_contradiction_clause,[],[f46594]) ).
fof(f46674,plain,
( ~ ron(sK2,vd1295)
| ~ ron(sK3,vd1295)
| vd1329 = sK3
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f38693,f33910]) ).
fof(f46725,plain,
( ~ ron(sK3,vd1295)
| vd1329 = sK3
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f46674,f891]) ).
fof(f46768,plain,
( vd1329 = sK3
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f46725,f896]) ).
fof(f46792,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f46768,f848]) ).
fof(f46797,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f46792,f884]) ).
fof(f46803,plain,
( ~ rpoint(sK3)
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f46797,f524]) ).
fof(f46805,plain,
( $false
| spl54_2199 ),
inference(forward_subsumption_resolution,[],[f46803,f522]) ).
fof(f46806,plain,
spl54_2199,
inference(avatar_contradiction_clause,[],[f46805]) ).
fof(f46916,plain,
( rR(sK3,sK3,vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_2319 ),
inference(resolution,[],[f46587,f930]) ).
fof(f46929,plain,
( rR(sK3,sK3,vd1303)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_2319 ),
inference(duplicate_literal_removal,[],[f46916]) ).
fof(f46934,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_2319 ),
inference(forward_subsumption_resolution,[],[f46929,f1682]) ).
fof(f46937,plain,
( ~ rpoint(vd1303)
| ~ spl54_2319 ),
inference(forward_subsumption_resolution,[],[f46934,f522]) ).
fof(f46940,plain,
( $false
| ~ spl54_2319 ),
inference(forward_subsumption_resolution,[],[f46937,f518]) ).
fof(f46941,plain,
~ spl54_2319,
inference(avatar_contradiction_clause,[],[f46940]) ).
fof(f47231,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK3,vd1303,vd1329)
| ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141 ),
inference(superposition,[],[f1038,f32342]) ).
fof(f47237,plain,
( ! [X0] :
( ~ rR(sK3,vd1303,vd1329)
| ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141 ),
inference(trivial_inequality_removal,[],[f47231]) ).
fof(f48262,plain,
( ~ rline(vd1295)
| ~ ron(sK2,vd1295)
| ron(vd1303,vd1295)
| ~ spl54_2113 ),
inference(resolution,[],[f32222,f896]) ).
fof(f48526,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ ron(X2,sK12(X1,X0))
| X0 = X1
| rR(X1,X0,X2)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f4979,f1157]) ).
fof(f48547,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X1,X0))
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X0)
| X0 = X1
| rR(X1,X0,X2)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ rline(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f48526]) ).
fof(f48607,plain,
! [X0] :
( ~ rpoint(sK3)
| vd1329 = vd1303
| ~ rpoint(vd1303)
| vd1303 = sK3
| rR(sK3,vd1303,vd1329)
| ~ ron(vd1329,X0)
| ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) ),
inference(resolution,[],[f48547,f5867]) ).
fof(f48642,plain,
( ! [X0] :
( ~ rpoint(sK3)
| vd1329 = vd1303
| ~ rpoint(vd1303)
| vd1303 = sK3
| rR(sK3,vd1303,vd1329)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl54_2142 ),
inference(forward_subsumption_resolution,[],[f48607,f32347]) ).
fof(f48652,plain,
( ! [X0] :
( vd1329 = vd1303
| ~ rpoint(vd1303)
| vd1303 = sK3
| rR(sK3,vd1303,vd1329)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl54_2142 ),
inference(forward_subsumption_resolution,[],[f48642,f522]) ).
fof(f48662,plain,
( ! [X0] :
( ~ rpoint(vd1303)
| vd1303 = sK3
| rR(sK3,vd1303,vd1329)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl54_2142 ),
inference(forward_subsumption_resolution,[],[f48652,f886]) ).
fof(f48672,plain,
( ! [X0] :
( vd1303 = sK3
| rR(sK3,vd1303,vd1329)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl54_2142 ),
inference(forward_subsumption_resolution,[],[f48662,f518]) ).
fof(f48678,plain,
( ! [X0] :
( rR(sK3,vd1303,vd1329)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl54_2142 ),
inference(forward_subsumption_resolution,[],[f48672,f851]) ).
fof(f48684,plain,
( ! [X0] :
( ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329) )
| ~ spl54_2142
| spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48678,f37672]) ).
fof(f48690,plain,
( ! [X0] :
( ~ ron(vd1329,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_2142
| spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48684,f515]) ).
fof(f48710,plain,
( spl54_2118
| ~ spl54_2142
| spl54_2266 ),
inference(avatar_split_clause,[],[f48690,f37670,f32346,f32242]) ).
fof(f48729,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f47237,f37671]) ).
fof(f48730,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48729,f848]) ).
fof(f48731,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48730,f851]) ).
fof(f48732,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48731,f515]) ).
fof(f48733,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48732,f518]) ).
fof(f48734,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ~ rline(X0) )
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48733,f522]) ).
fof(f48736,plain,
( ~ ron(vd1303,vd1297)
| ~ rline(vd1297)
| ~ spl54_2141
| ~ spl54_2266 ),
inference(resolution,[],[f48734,f895]) ).
fof(f48761,plain,
( ~ rline(vd1297)
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48736,f887]) ).
fof(f48770,plain,
( $false
| ~ spl54_2141
| ~ spl54_2266 ),
inference(forward_subsumption_resolution,[],[f48761,f596]) ).
fof(f48771,plain,
( ~ spl54_2141
| ~ spl54_2266 ),
inference(avatar_contradiction_clause,[],[f48770]) ).
fof(f49001,plain,
( ~ ron(sK1,vd1295)
| rR(sK1,vd1303,vd1329)
| spl54_21
| spl54_2116 ),
inference(forward_subsumption_resolution,[],[f38753,f32235]) ).
fof(f49010,plain,
( vd684 = vangle(vd1300,sK3,vd1303)
| spl54_20
| spl54_44
| spl54_2225
| spl54_2235 ),
inference(forward_demodulation,[],[f43425,f2092]) ).
fof(f49011,plain,
( vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1303)
| spl54_20
| spl54_21
| spl54_37
| spl54_2225
| spl54_2319 ),
inference(forward_subsumption_resolution,[],[f43428,f46586]) ).
fof(f49339,plain,
( vd684 = vangle(sK2,sK3,sK1)
| spl54_20
| spl54_21
| spl54_37
| spl54_44
| spl54_2225
| spl54_2235
| spl54_2319 ),
inference(forward_demodulation,[],[f49011,f49010]) ).
fof(f49563,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| spl54_20
| spl54_21
| spl54_37
| spl54_44
| spl54_2225
| spl54_2235
| spl54_2319 ),
inference(forward_demodulation,[],[f49339,f2746]) ).
fof(f49667,plain,
( $false
| spl54_20
| spl54_21
| spl54_37
| spl54_44
| spl54_2116
| spl54_2225
| spl54_2235
| spl54_2319 ),
inference(forward_subsumption_resolution,[],[f49563,f32235]) ).
fof(f49668,plain,
( spl54_20
| spl54_21
| spl54_37
| spl54_44
| spl54_2116
| spl54_2225
| spl54_2235
| spl54_2319 ),
inference(avatar_contradiction_clause,[],[f49667]) ).
fof(f49994,plain,
( ~ ron(sK1,vd1295)
| ~ rR(sK1,vd1303,vd1329)
| spl54_21
| spl54_41
| spl54_2112 ),
inference(forward_subsumption_resolution,[],[f38751,f32216]) ).
fof(f50299,plain,
( ~ ron(sK2,vd1295)
| ron(vd1303,vd1295)
| ~ spl54_2113 ),
inference(forward_subsumption_resolution,[],[f48262,f599]) ).
fof(f50385,plain,
( ron(vd1303,vd1295)
| ~ spl54_2113 ),
inference(forward_subsumption_resolution,[],[f50299,f891]) ).
fof(f50433,plain,
( $false
| spl54_1229
| ~ spl54_2113 ),
inference(forward_subsumption_resolution,[],[f50385,f20140]) ).
fof(f50434,plain,
( spl54_1229
| ~ spl54_2113 ),
inference(avatar_contradiction_clause,[],[f50433]) ).
fof(f51146,plain,
( ~ rR(vd1303,sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ spl54_2235 ),
inference(resolution,[],[f36832,f919]) ).
fof(f51160,plain,
( ~ rR(vd1303,sK3,sK2)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ spl54_2235 ),
inference(forward_subsumption_resolution,[],[f51146,f524]) ).
fof(f51168,plain,
( ~ rR(vd1303,sK3,sK2)
| ~ rpoint(sK3)
| ~ spl54_2235 ),
inference(forward_subsumption_resolution,[],[f51160,f518]) ).
fof(f51176,plain,
( ~ rR(vd1303,sK3,sK2)
| ~ spl54_2235 ),
inference(forward_subsumption_resolution,[],[f51168,f522]) ).
fof(f51245,definition,
( spl54_2478
<=> rR(vd1303,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2478])],[avatar_definition]) ).
fof(f51247,plain,
( ~ rR(vd1303,sK3,sK2)
| spl54_2478 ),
inference(avatar_component_clause,[],[f51245]) ).
fof(f51257,plain,
( ~ spl54_2478
| ~ spl54_2235 ),
inference(avatar_split_clause,[],[f51176,f36831,f51245]) ).
fof(f51494,plain,
( ~ rpoint(vd1303)
| vd1303 = sK3
| vd1303 = sK2
| vangle(sK3,vd1303,sK2) = vangle(sK3,vd1303,sK3)
| spl54_2478 ),
inference(resolution,[],[f51247,f39794]) ).
fof(f51496,plain,
( vd1303 = sK3
| vd1303 = sK2
| vangle(sK3,vd1303,sK2) = vangle(sK3,vd1303,sK3)
| spl54_2478 ),
inference(forward_subsumption_resolution,[],[f51494,f518]) ).
fof(f51497,plain,
( vd1303 = sK2
| vangle(sK3,vd1303,sK2) = vangle(sK3,vd1303,sK3)
| spl54_2478 ),
inference(forward_subsumption_resolution,[],[f51496,f851]) ).
fof(f51498,plain,
( vangle(sK3,vd1303,sK2) = vangle(sK3,vd1303,sK3)
| spl54_44
| spl54_2478 ),
inference(forward_subsumption_resolution,[],[f51497,f2156]) ).
fof(f51499,plain,
( vd684 = vangle(sK3,vd1303,sK2)
| spl54_44
| spl54_2478 ),
inference(forward_demodulation,[],[f51498,f2321]) ).
fof(f51500,plain,
( $false
| spl54_44
| spl54_2120
| spl54_2478 ),
inference(forward_subsumption_resolution,[],[f51499,f32251]) ).
fof(f51501,plain,
( spl54_44
| spl54_2120
| spl54_2478 ),
inference(avatar_contradiction_clause,[],[f51500]) ).
fof(f51502,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f36142,f36029]) ).
fof(f51549,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51502,f884]) ).
fof(f51575,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51549,f1768]) ).
fof(f51589,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51575,f524]) ).
fof(f51593,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51589,f521]) ).
fof(f51595,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0) )
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51593,f522]) ).
fof(f51705,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| vd1303 = sK2
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1303) )
| ~ spl54_2120 ),
inference(superposition,[],[f1042,f32250]) ).
fof(f51706,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| vd1303 = sK2
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1303) )
| ~ spl54_2120 ),
inference(trivial_inequality_removal,[],[f51705]) ).
fof(f51708,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| vd1303 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1303) )
| spl54_44
| ~ spl54_2120 ),
inference(forward_subsumption_resolution,[],[f51706,f2156]) ).
fof(f51724,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1303) )
| spl54_44
| ~ spl54_2120 ),
inference(forward_subsumption_resolution,[],[f51708,f851]) ).
fof(f51739,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1303) )
| spl54_44
| ~ spl54_2120 ),
inference(forward_subsumption_resolution,[],[f51724,f524]) ).
fof(f51754,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(vd1303) )
| spl54_44
| ~ spl54_2120 ),
inference(forward_subsumption_resolution,[],[f51739,f522]) ).
fof(f51769,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ ron(vd1303,X0)
| ~ rline(X0) )
| spl54_44
| ~ spl54_2120 ),
inference(forward_subsumption_resolution,[],[f51754,f518]) ).
fof(f51805,plain,
( ~ ron(vd1300,vd1295)
| ~ rline(vd1295)
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(resolution,[],[f51595,f896]) ).
fof(f51827,plain,
( ~ rline(vd1295)
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51805,f893]) ).
fof(f51832,plain,
( $false
| spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(forward_subsumption_resolution,[],[f51827,f599]) ).
fof(f51833,plain,
( spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(avatar_contradiction_clause,[],[f51832]) ).
fof(f52048,plain,
( ron(sK2,vd1297)
| ~ ron(vd1303,vd1297)
| ~ rline(vd1297)
| spl54_44
| ~ spl54_2120 ),
inference(resolution,[],[f51769,f895]) ).
fof(f52070,plain,
( ~ ron(vd1303,vd1297)
| ~ rline(vd1297)
| spl54_44
| ~ spl54_2120
| spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52048,f34059]) ).
fof(f52075,plain,
( ~ rline(vd1297)
| spl54_44
| ~ spl54_2120
| spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52070,f887]) ).
fof(f52076,plain,
( $false
| spl54_44
| ~ spl54_2120
| spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52075,f596]) ).
fof(f52077,plain,
( spl54_44
| ~ spl54_2120
| spl54_2203 ),
inference(avatar_contradiction_clause,[],[f52076]) ).
fof(f52082,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| ~ ron(sK2,vd1297)
| vd1303 = sK2
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f44427,f895]) ).
fof(f52085,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f46173,f34058]) ).
fof(f52089,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| vd1303 = sK2
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52082,f34058]) ).
fof(f52092,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| rR(sK2,vd1300,vd1303)
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52085,f518]) ).
fof(f52096,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52089,f2156]) ).
fof(f52099,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| rR(sK2,vd1300,vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_demodulation,[],[f52092,f3067]) ).
fof(f52103,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52096,f884]) ).
fof(f52105,definition,
( spl54_2490
<=> rR(sK2,vd1300,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_2490])],[avatar_definition]) ).
fof(f52113,plain,
( rR(sK2,vd1300,vd1303)
| spl54_44
| spl54_2116
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52099,f32235]) ).
fof(f52117,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| ~ rpoint(sK2)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52103,f522]) ).
fof(f52122,plain,
( spl54_2490
| spl54_44
| spl54_2116
| ~ spl54_2203 ),
inference(avatar_split_clause,[],[f52113,f34057,f32233,f2155,f52105]) ).
fof(f52125,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52117,f524]) ).
fof(f52128,plain,
( vd684 = vangle(sK3,sK2,vd1303)
| ~ rR(sK2,vd1300,vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52125,f518]) ).
fof(f52131,plain,
( vd684 = sF53
| ~ rR(sK2,vd1300,vd1303)
| spl54_44
| ~ spl54_2203 ),
inference(forward_demodulation,[],[f52128,f1679]) ).
fof(f52134,plain,
( ~ rR(sK2,vd1300,vd1303)
| spl54_44
| spl54_2109
| ~ spl54_2203 ),
inference(forward_subsumption_resolution,[],[f52131,f32204]) ).
fof(f52135,plain,
( ~ spl54_2490
| spl54_44
| spl54_2109
| ~ spl54_2203 ),
inference(avatar_split_clause,[],[f52134,f34057,f32202,f2155,f52105]) ).
fof(f52183,plain,
( ron(sK1,vd1295)
| ~ rline(vd1295)
| ~ spl54_1229 ),
inference(forward_subsumption_resolution,[],[f39044,f20139]) ).
fof(f52201,plain,
( ~ rline(vd1295)
| spl54_21
| ~ spl54_1229
| ~ spl54_2286 ),
inference(forward_subsumption_resolution,[],[f52183,f41957]) ).
fof(f52212,plain,
( $false
| spl54_21
| ~ spl54_1229
| ~ spl54_2286 ),
inference(forward_subsumption_resolution,[],[f52201,f599]) ).
fof(f52213,plain,
( spl54_21
| ~ spl54_1229
| ~ spl54_2286 ),
inference(avatar_contradiction_clause,[],[f52212]) ).
fof(f52270,plain,
( ~ rR(sK1,vd1303,vd1329)
| spl54_21
| spl54_41
| spl54_2112
| ~ spl54_2285 ),
inference(forward_subsumption_resolution,[],[f49994,f41930]) ).
fof(f52407,plain,
( rR(sK1,vd1303,vd1329)
| spl54_21
| spl54_2116
| ~ spl54_2285 ),
inference(forward_subsumption_resolution,[],[f49001,f41930]) ).
fof(f52422,plain,
( $false
| spl54_21
| spl54_41
| spl54_2112
| spl54_2116
| ~ spl54_2285 ),
inference(forward_subsumption_resolution,[],[f52407,f52270]) ).
fof(f52423,plain,
( spl54_21
| spl54_41
| spl54_2112
| spl54_2116
| ~ spl54_2285 ),
inference(avatar_contradiction_clause,[],[f52422]) ).
fof(f52567,plain,
( vd684 != sF52
| ~ spl54_2109 ),
inference(superposition,[],[f1680,f32203]) ).
fof(f52568,plain,
( $false
| ~ spl54_2109
| ~ spl54_2112 ),
inference(forward_subsumption_resolution,[],[f52567,f32215]) ).
fof(f52569,plain,
( ~ spl54_2109
| ~ spl54_2112 ),
inference(avatar_contradiction_clause,[],[f52568]) ).
cnf(s40,plain,
~ spl54_21,
inference(sat_conversion,[],[f1849]) ).
cnf(s47,plain,
~ spl54_20,
inference(sat_conversion,[],[f2123]) ).
cnf(s65,plain,
( ~ spl54_41
| spl54_44 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s66,plain,
( ~ spl54_41
| ~ spl54_44 ),
inference(sat_conversion,[],[f2987]) ).
cnf(s71,plain,
( spl54_41
| ~ spl54_44 ),
inference(sat_conversion,[],[f3064]) ).
cnf(s362,plain,
~ spl54_37,
inference(sat_conversion,[],[f7225]) ).
cnf(s2012,plain,
( spl54_44
| ~ spl54_2109
| spl54_2113 ),
inference(sat_conversion,[],[f32223]) ).
cnf(s2033,plain,
( ~ spl54_2141
| spl54_2142 ),
inference(sat_conversion,[],[f32348]) ).
cnf(s2116,plain,
( spl54_20
| ~ spl54_2199
| spl54_2214
| spl54_2215 ),
inference(sat_conversion,[],[f34728]) ).
cnf(s2133,plain,
~ spl54_2214,
inference(sat_conversion,[],[f36120]) ).
cnf(s2201,plain,
( spl54_2285
| spl54_2286 ),
inference(sat_conversion,[],[f41911]) ).
cnf(s2284,plain,
( spl54_20
| spl54_44
| ~ spl54_2116
| ~ spl54_2118
| ~ spl54_2141
| spl54_2214 ),
inference(sat_conversion,[],[f46569]) ).
cnf(s2288,plain,
( spl54_44
| ~ spl54_2116
| spl54_2141 ),
inference(sat_conversion,[],[f46595]) ).
cnf(s2330,plain,
spl54_2199,
inference(sat_conversion,[],[f46806]) ).
cnf(s2333,plain,
~ spl54_2319,
inference(sat_conversion,[],[f46941]) ).
cnf(s2354,plain,
( spl54_2118
| ~ spl54_2142
| spl54_2266 ),
inference(sat_conversion,[],[f48710]) ).
cnf(s2358,plain,
( ~ spl54_2141
| ~ spl54_2266 ),
inference(sat_conversion,[],[f48771]) ).
cnf(s2425,plain,
( spl54_20
| spl54_21
| spl54_37
| spl54_44
| spl54_2116
| spl54_2225
| spl54_2235
| spl54_2319 ),
inference(sat_conversion,[],[f49668]) ).
cnf(s2513,plain,
( spl54_1229
| ~ spl54_2113 ),
inference(sat_conversion,[],[f50434]) ).
cnf(s2570,plain,
( ~ spl54_2235
| ~ spl54_2478 ),
inference(sat_conversion,[],[f51257]) ).
cnf(s2586,plain,
( spl54_44
| spl54_2120
| spl54_2478 ),
inference(sat_conversion,[],[f51501]) ).
cnf(s2590,plain,
( spl54_20
| ~ spl54_2215
| ~ spl54_2225 ),
inference(sat_conversion,[],[f51833]) ).
cnf(s2604,plain,
( spl54_44
| ~ spl54_2120
| spl54_2203 ),
inference(sat_conversion,[],[f52077]) ).
cnf(s2607,plain,
( spl54_44
| spl54_2116
| ~ spl54_2203
| spl54_2490 ),
inference(sat_conversion,[],[f52122]) ).
cnf(s2609,plain,
( spl54_44
| spl54_2109
| ~ spl54_2203
| ~ spl54_2490 ),
inference(sat_conversion,[],[f52135]) ).
cnf(s2634,plain,
( spl54_21
| ~ spl54_1229
| ~ spl54_2286 ),
inference(sat_conversion,[],[f52213]) ).
cnf(s2652,plain,
( spl54_21
| spl54_41
| spl54_2112
| spl54_2116
| ~ spl54_2285 ),
inference(sat_conversion,[],[f52423]) ).
cnf(s2657,plain,
( ~ spl54_2109
| ~ spl54_2112 ),
inference(sat_conversion,[],[f52569]) ).
cnf(s2681,plain,
( spl54_20
| spl54_2215 ),
inference(rat,[],[s2116,s2133,s2330]) ).
cnf(s2839,plain,
spl54_2215,
inference(rat,[],[s2681,s47]) ).
cnf(s2841,plain,
~ spl54_2225,
inference(rat,[],[s2590,s47,s2839]) ).
cnf(s2886,plain,
( spl54_44
| ~ spl54_2141
| ~ spl54_2116 ),
inference(rat,[],[s2354,s2033,s2358,s2284,s2133,s47]) ).
cnf(s2887,plain,
( spl54_44
| ~ spl54_2116 ),
inference(rat,[],[s2886,s2288]) ).
cnf(s2891,plain,
spl54_44,
inference(rat,[],[s2634,s2201,s2513,s2652,s2012,s2657,s2609,s2607,s2604,s2586,s2570,s2425,s65,s2887,s40,s362,s47,s2841,s2333]) ).
cnf(s2892,plain,
spl54_41,
inference(rat,[],[s71,s2891]) ).
cnf(s2893,plain,
$false,
inference(rat,[],[s66,s2891,s2892]) ).
fof(f52570,plain,
$false,
inference(avatar_sat_refutation,[],[s2893]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO324+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n005.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:05:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 11.37/2.53 % (3665483)Detected formulas, will run a generic FOF schedule.
% 11.37/2.53 % (3665492)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2242976606:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.37/2.53 % (3665492)Instruction limit reached!
% 11.37/2.53 % (3665492)------------------------------
% 11.37/2.53 % (3665492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.53 % (3665492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.53 % (3665492)CaDiCaL version: 2.1.3
% 11.37/2.53 % (3665492)Termination reason: Instruction limit
% 11.37/2.53 % (3665492)Termination phase: Saturation
% 11.37/2.53 % (3665492)Time elapsed: 0.031 s
% 11.37/2.53 % (3665492)Peak memory usage: 88 MB
% 11.37/2.53 % (3665492)Instructions burned: 120 (million)
% 11.37/2.53 % (3665488)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=212420152:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.37/2.53 % (3665490)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=637401317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.37/2.53 % (3665489)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=1246448129:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.37/2.53 % (3665491)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=762347826:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.37/2.53 % (3665494)dis-21_1_sil=8000:lcm=predicate:random_seed=1301105177: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)
% 11.37/2.53 % (3665493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3442933889:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.37/2.53 % (3665491)Instruction limit reached!
% 11.37/2.53 % (3665491)------------------------------
% 11.37/2.53 % (3665491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.53 % (3665491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.53 % (3665491)CaDiCaL version: 2.1.3
% 11.37/2.53 % (3665491)Termination reason: Instruction limit
% 11.37/2.53 % (3665491)Termination phase: Saturation
% 11.37/2.53 % (3665491)Time elapsed: 0.057 s
% 11.37/2.53 % (3665491)Peak memory usage: 89 MB
% 11.37/2.53 % (3665491)Instructions burned: 111 (million)
% 11.37/2.53 % (3665496)lrs+10_1_sil=8000:sp=occurrence:random_seed=3380555542:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.37/2.53 % (3665494)Instruction limit reached!
% 11.37/2.53 % (3665494)------------------------------
% 11.37/2.53 % (3665494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.53 % (3665494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.53 % (3665494)CaDiCaL version: 2.1.3
% 11.37/2.53 % (3665494)Termination reason: Instruction limit
% 11.37/2.53 % (3665494)Termination phase: Saturation
% 11.37/2.53 % (3665494)Time elapsed: 0.070 s
% 11.37/2.53 % (3665494)Peak memory usage: 90 MB
% 11.37/2.53 % (3665494)Instructions burned: 130 (million)
% 11.37/2.53 % (3665493)Instruction limit reached!
% 11.37/2.53 % (3665493)------------------------------
% 11.37/2.53 % (3665493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.53 % (3665493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.53 % (3665493)CaDiCaL version: 2.1.3
% 11.37/2.53 % (3665493)Termination reason: Instruction limit
% 11.37/2.53 % (3665493)Termination phase: Saturation
% 11.37/2.53 % (3665493)Time elapsed: 0.087 s
% 11.37/2.53 % (3665493)Peak memory usage: 90 MB
% 11.37/2.53 % (3665493)Instructions burned: 140 (million)
% 11.37/2.53 % (3665496)Instruction limit reached!
% 11.37/2.53 % (3665496)------------------------------
% 11.37/2.53 % (3665496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.37/2.53 % (3665496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.37/2.53 % (3665496)CaDiCaL version: 2.1.3
% 11.37/2.53 % (3665496)Termination reason: Instruction limit
% 11.37/2.53 % (3665496)Termination phase: Saturation
% 11.37/2.53 % (3665496)Time elapsed: 0.078 s
% 11.37/2.53 % (3665496)Peak memory usage: 91 MB
% 11.37/2.53 % (3665496)Instructions burned: 288 (million)
% 17.46/3.32 % (3665503)lrs+10_1_sil=32000:urr=on:br=off:random_seed=322526206:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.46/3.32 % (3665505)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3691310124:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.46/3.32 % (3665506)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=787039832:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 17.46/3.32 % (3665507)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1948474966:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 17.46/3.32 % (3665503)Instruction limit reached!
% 17.46/3.32 % (3665503)------------------------------
% 17.46/3.32 % (3665503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.32 % (3665503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.32 % (3665503)CaDiCaL version: 2.1.3
% 17.46/3.32 % (3665503)Termination reason: Instruction limit
% 17.46/3.32 % (3665503)Termination phase: Saturation
% 17.46/3.32 % (3665503)Time elapsed: 0.076 s
% 17.46/3.32 % (3665503)Peak memory usage: 89 MB
% 17.46/3.32 % (3665503)Instructions burned: 157 (million)
% 17.46/3.32 % (3665507)Instruction limit reached!
% 17.46/3.32 % (3665507)------------------------------
% 17.46/3.32 % (3665507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.32 % (3665507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.32 % (3665507)CaDiCaL version: 2.1.3
% 17.46/3.32 % (3665507)Termination reason: Instruction limit
% 17.46/3.32 % (3665507)Termination phase: Saturation
% 17.46/3.32 % (3665507)Time elapsed: 0.072 s
% 17.46/3.32 % (3665507)Peak memory usage: 89 MB
% 17.46/3.32 % (3665507)Instructions burned: 296 (million)
% 17.46/3.32 % (3665505)Instruction limit reached!
% 17.46/3.32 % (3665505)------------------------------
% 17.46/3.32 % (3665505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.32 % (3665505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.32 % (3665505)CaDiCaL version: 2.1.3
% 17.46/3.32 % (3665505)Termination reason: Instruction limit
% 17.46/3.32 % (3665505)Termination phase: Saturation
% 17.46/3.32 % (3665505)Time elapsed: 0.159 s
% 17.46/3.32 % (3665505)Peak memory usage: 91 MB
% 17.46/3.32 % (3665505)Instructions burned: 327 (million)
% 17.46/3.32 % (3665506)Instruction limit reached!
% 17.46/3.32 % (3665506)------------------------------
% 17.46/3.32 % (3665506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.32 % (3665506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.32 % (3665506)CaDiCaL version: 2.1.3
% 17.46/3.32 % (3665506)Termination reason: Instruction limit
% 17.46/3.32 % (3665506)Termination phase: Saturation
% 17.46/3.32 % (3665506)Time elapsed: 0.122 s
% 17.46/3.32 % (3665506)Peak memory usage: 90 MB
% 17.46/3.32 % (3665506)Instructions burned: 248 (million)
% 17.46/3.32 % (3665512)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1460709169:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 17.46/3.32 % (3665513)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3618878655:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 17.46/3.32 % (3665513)Instruction limit reached!
% 17.46/3.32 % (3665513)------------------------------
% 17.46/3.32 % (3665513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.32 % (3665513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.46/3.32 % (3665513)CaDiCaL version: 2.1.3
% 17.46/3.32 % (3665513)Termination reason: Instruction limit
% 17.46/3.32 % (3665513)Termination phase: Saturation
% 17.46/3.32 % (3665513)Time elapsed: 0.032 s
% 17.46/3.32 % (3665513)Peak memory usage: 90 MB
% 17.46/3.32 % (3665513)Instructions burned: 113 (million)
% 17.46/3.32 % (3665514)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3683814682:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.46/3.32 % (3665515)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1265805001:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 17.46/3.32 % (3665514)Refutation not found, incomplete strategy
% 17.46/3.32 % (3665514)------------------------------
% 17.46/3.32 % (3665514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.46/3.32 % (3665514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.23 % (3665514)CaDiCaL version: 2.1.3
% 23.91/4.23 % (3665514)Termination reason: Refutation not found, incomplete strategy
% 23.91/4.23 % (3665514)Time elapsed: 0.027 s
% 23.91/4.23 % (3665514)Peak memory usage: 89 MB
% 23.91/4.23 % (3665514)Instructions burned: 54 (million)
% 23.91/4.23 % (3665518)lrs+10_1_sil=8000:sp=occurrence:random_seed=2576624186:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 23.91/4.23 % (3665515)Instruction limit reached!
% 23.91/4.23 % (3665515)------------------------------
% 23.91/4.23 % (3665515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.23 % (3665515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.23 % (3665515)CaDiCaL version: 2.1.3
% 23.91/4.23 % (3665515)Termination reason: Instruction limit
% 23.91/4.23 % (3665515)Termination phase: Saturation
% 23.91/4.23 % (3665515)Time elapsed: 0.052 s
% 23.91/4.23 % (3665515)Peak memory usage: 89 MB
% 23.91/4.23 % (3665515)Instructions burned: 115 (million)
% 23.91/4.23 % (3665522)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3787586732:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 23.91/4.23 % (3665522)Refutation not found, incomplete strategy
% 23.91/4.23 % (3665522)------------------------------
% 23.91/4.23 % (3665522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.23 % (3665522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.23 % (3665522)CaDiCaL version: 2.1.3
% 23.91/4.23 % (3665522)Termination reason: Refutation not found, incomplete strategy
% 23.91/4.23 % (3665522)Time elapsed: 0.018 s
% 23.91/4.23 % (3665522)Peak memory usage: 89 MB
% 23.91/4.23 % (3665522)Instructions burned: 34 (million)
% 23.91/4.23 % (3665514)------------------------------
% 23.91/4.23 % (3665514)------------------------------
% 23.91/4.23 % (3665518)Instruction limit reached!
% 23.91/4.23 % (3665518)------------------------------
% 23.91/4.23 % (3665518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.23 % (3665518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.23 % (3665518)CaDiCaL version: 2.1.3
% 23.91/4.23 % (3665518)Termination reason: Instruction limit
% 23.91/4.23 % (3665518)Termination phase: Saturation
% 23.91/4.23 % (3665518)Time elapsed: 0.255 s
% 23.91/4.23 % (3665518)Peak memory usage: 96 MB
% 23.91/4.23 % (3665518)Instructions burned: 911 (million)
% 23.91/4.23 % (3665524)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1970376434:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 23.91/4.23 % (3665525)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2169424733:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 23.91/4.23 % (3665522)------------------------------
% 23.91/4.23 % (3665522)------------------------------
% 23.91/4.23 % (3665525)Instruction limit reached!
% 23.91/4.23 % (3665525)------------------------------
% 23.91/4.23 % (3665525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.23 % (3665525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.23 % (3665525)CaDiCaL version: 2.1.3
% 23.91/4.23 % (3665525)Termination reason: Instruction limit
% 23.91/4.23 % (3665525)Termination phase: Saturation
% 23.91/4.23 % (3665525)Time elapsed: 0.067 s
% 23.91/4.23 % (3665525)Peak memory usage: 93 MB
% 23.91/4.23 % (3665525)Instructions burned: 135 (million)
% 23.91/4.23 % (3665528)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1490054936:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 23.91/4.23 % (3665529)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3306504339:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 23.91/4.23 % (3665528)Instruction limit reached!
% 23.91/4.23 % (3665528)------------------------------
% 23.91/4.23 % (3665528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.91/4.23 % (3665528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.91/4.23 % (3665528)CaDiCaL version: 2.1.3
% 23.91/4.23 % (3665528)Termination reason: Instruction limit
% 23.91/4.23 % (3665528)Termination phase: Saturation
% 23.91/4.23 % (3665528)Time elapsed: 0.306 s
% 23.91/4.23 % (3665528)Peak memory usage: 93 MB
% 23.91/4.23 % (3665528)Instructions burned: 595 (million)
% 23.91/4.23 % (3665532)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=3153037200:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 34.63/6.53 % (3665532)Instruction limit reached!
% 34.63/6.53 % (3665532)------------------------------
% 34.63/6.53 % (3665532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665532)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665532)Termination reason: Instruction limit
% 34.63/6.53 % (3665532)Termination phase: Saturation
% 34.63/6.53 % (3665532)Time elapsed: 0.061 s
% 34.63/6.53 % (3665532)Peak memory usage: 91 MB
% 34.63/6.53 % (3665532)Instructions burned: 126 (million)
% 34.63/6.53 % (3665534)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1938181268:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 34.63/6.53 % (3665534)Instruction limit reached!
% 34.63/6.53 % (3665534)------------------------------
% 34.63/6.53 % (3665534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665534)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665534)Termination reason: Instruction limit
% 34.63/6.53 % (3665534)Termination phase: Saturation
% 34.63/6.53 % (3665534)Time elapsed: 0.076 s
% 34.63/6.53 % (3665534)Peak memory usage: 91 MB
% 34.63/6.53 % (3665534)Instructions burned: 135 (million)
% 34.63/6.53 % (3665512)Instruction limit reached!
% 34.63/6.53 % (3665512)------------------------------
% 34.63/6.53 % (3665512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665512)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665512)Termination reason: Instruction limit
% 34.63/6.53 % (3665512)Termination phase: Saturation
% 34.63/6.53 % (3665512)Time elapsed: 1.508 s
% 34.63/6.53 % (3665512)Peak memory usage: 142 MB
% 34.63/6.53 % (3665512)Instructions burned: 2350 (million)
% 34.63/6.53 % (3665536)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2315459523:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 34.63/6.53 % (3665536)Refutation not found, incomplete strategy
% 34.63/6.53 % (3665536)------------------------------
% 34.63/6.53 % (3665536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665536)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665536)Termination reason: Refutation not found, incomplete strategy
% 34.63/6.53 % (3665536)Time elapsed: 0.004 s
% 34.63/6.53 % (3665536)Peak memory usage: 88 MB
% 34.63/6.53 % (3665536)Instructions burned: 6 (million)
% 34.63/6.53 % (3665537)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=873123393:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 34.63/6.53 % (3665537)Refutation not found, incomplete strategy
% 34.63/6.53 % (3665537)------------------------------
% 34.63/6.53 % (3665537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665537)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665537)Termination reason: Refutation not found, incomplete strategy
% 34.63/6.53 % (3665537)Time elapsed: 0.007 s
% 34.63/6.53 % (3665537)Peak memory usage: 88 MB
% 34.63/6.53 % (3665537)Instructions burned: 11 (million)
% 34.63/6.53 % (3665536)------------------------------
% 34.63/6.53 % (3665536)------------------------------
% 34.63/6.53 % (3665524)Instruction limit reached!
% 34.63/6.53 % (3665524)------------------------------
% 34.63/6.53 % (3665524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665524)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665524)Termination reason: Instruction limit
% 34.63/6.53 % (3665524)Termination phase: Saturation
% 34.63/6.53 % (3665524)Time elapsed: 1.340 s
% 34.63/6.53 % (3665524)Peak memory usage: 137 MB
% 34.63/6.53 % (3665524)Instructions burned: 5207 (million)
% 34.63/6.53 % (3665537)------------------------------
% 34.63/6.53 % (3665537)------------------------------
% 34.63/6.53 % (3665540)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=1762532597:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 34.63/6.53 % (3665541)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=559530909:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 34.63/6.53 % (3665541)Instruction limit reached!
% 34.63/6.53 % (3665541)------------------------------
% 34.63/6.53 % (3665541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665541)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665541)Termination reason: Instruction limit
% 34.63/6.53 % (3665541)Termination phase: Saturation
% 34.63/6.53 % (3665541)Time elapsed: 0.042 s
% 34.63/6.53 % (3665541)Peak memory usage: 92 MB
% 34.63/6.53 % (3665541)Instructions burned: 152 (million)
% 34.63/6.53 % (3665542)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=806203895:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 34.63/6.53 % (3665545)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2905643632:i=667:av=off:fsr=off_2974 on theBenchmark for (2974ds/667Mi)
% 34.63/6.53 % (3665545)Refutation not found, incomplete strategy
% 34.63/6.53 % (3665545)------------------------------
% 34.63/6.53 % (3665545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665545)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665545)Termination reason: Refutation not found, incomplete strategy
% 34.63/6.53 % (3665545)Time elapsed: 0.012 s
% 34.63/6.53 % (3665545)Peak memory usage: 89 MB
% 34.63/6.53 % (3665545)Instructions burned: 46 (million)
% 34.63/6.53 % (3665545)------------------------------
% 34.63/6.53 % (3665545)------------------------------
% 34.63/6.53 % (3665548)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=2139329374:s2a=on:i=185:s2at=1.8:fdi=4_2972 on theBenchmark for (2972ds/185Mi)
% 34.63/6.53 % (3665548)Instruction limit reached!
% 34.63/6.53 % (3665548)------------------------------
% 34.63/6.53 % (3665548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665548)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665548)Termination reason: Instruction limit
% 34.63/6.53 % (3665548)Termination phase: Saturation
% 34.63/6.53 % (3665548)Time elapsed: 0.053 s
% 34.63/6.53 % (3665548)Peak memory usage: 93 MB
% 34.63/6.53 % (3665548)Instructions burned: 189 (million)
% 34.63/6.53 % (3665550)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3475096704:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2971 on theBenchmark for (2971ds/193Mi)
% 34.63/6.53 % (3665550)Instruction limit reached!
% 34.63/6.53 % (3665550)------------------------------
% 34.63/6.53 % (3665550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665550)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665550)Termination reason: Instruction limit
% 34.63/6.53 % (3665550)Termination phase: Saturation
% 34.63/6.53 % (3665550)Time elapsed: 0.056 s
% 34.63/6.53 % (3665550)Peak memory usage: 90 MB
% 34.63/6.53 % (3665550)Instructions burned: 194 (million)
% 34.63/6.53 % (3665552)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1035776735:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2969 on theBenchmark for (2969ds/4850Mi)
% 34.63/6.53 % (3665552)Refutation not found, incomplete strategy
% 34.63/6.53 % (3665552)------------------------------
% 34.63/6.53 % (3665552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.63/6.53 % (3665552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.63/6.53 % (3665552)CaDiCaL version: 2.1.3
% 34.63/6.53 % (3665552)Termination reason: Refutation not found, incomplete strategy
% 34.63/6.53 % (3665552)Time elapsed: 0.009 s
% 34.63/6.53 % (3665552)Peak memory usage: 89 MB
% 34.63/6.53 % (3665552)Instructions burned: 33 (million)
% 34.63/6.53 % (3665552)------------------------------
% 34.63/6.53 % (3665552)------------------------------
% 34.63/6.53 % (3665554)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1817892239:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 34.63/6.53 % (3665488)First to succeed.
% 34.63/6.53 % (3665488)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3665483"
% 34.63/6.53 % (3665488)Refutation found. Thanks to Tanya!
% 34.63/6.53 % SZS status Theorem for theBenchmark
% 34.63/6.53 % SZS output start Proof for theBenchmark
% See solution above
% 40.73/6.72 % (3665488)------------------------------
% 40.73/6.72 % (3665488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.73/6.72 % (3665488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.73/6.72 % (3665488)CaDiCaL version: 2.1.3
% 40.73/6.72 % (3665488)Termination reason: Refutation
% 40.73/6.72 % (3665488)Time elapsed: 5.236 s
% 40.73/6.72 % (3665488)Peak memory usage: 179 MB
% 40.73/6.72 % (3665488)Instructions burned: 9328 (million)
% 40.73/6.72 % (3665488)------------------------------
% 40.73/6.72 % (3665488)------------------------------
% 40.73/6.72 % (3665483)Success in time 5.67 s
% 40.73/6.72 % Vampire exiting
%------------------------------------------------------------------------------