%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO322+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 : n007.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 37.72s 7.07s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 56
% Syntax : Number of formulae : 544 ( 105 unt; 17 def)
% Number of atoms : 3266 ( 990 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 4810 (2088 ~;2492 |; 196 &)
% ( 18 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 16 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 17 con; 0-3 aty)
% Number of variables : 1161 ( 0 sgn1101 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(375), 1343, 0)') ).
fof(f2,negated_conjecture,
vf(vd1302,vd1288) != vf(vd1329,vd1289),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(374, 1342, 0)') ).
fof(f4,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(373, 1341, 0)') ).
fof(f5,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f8,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f9,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f10,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(f11,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f12,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(f13,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(f14,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(f15,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(f21,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f22,axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(367), 1331, 0)') ).
fof(f23,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f24,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(368))), 1334, 0)') ).
fof(f58,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f61,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f65,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f66,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f68,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f73,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(f74,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(370)), 0)') ).
fof(f76,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(369), 0)') ).
fof(f77,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(369)), 0)') ).
fof(f78,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(369)), 0)') ).
fof(f81,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(f82,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(f83,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f87,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(f99,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(f103,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(f108,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f112,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f114,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(f115,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(f126,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(f136,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(f172,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(f181,plain,
vf(vd1302,vd1288) != vf(vd1329,vd1289),
inference(flattening,[],[f2]) ).
fof(f186,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,[],[f13]) ).
fof(f187,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(flattening,[],[f186]) ).
fof(f188,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,[],[f14]) ).
fof(f189,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,[],[f188]) ).
fof(f190,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,[],[f15]) ).
fof(f191,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,[],[f190]) ).
fof(f237,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,[],[f73]) ).
fof(f238,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,[],[f237]) ).
fof(f243,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,[],[f81]) ).
fof(f244,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,[],[f243]) ).
fof(f245,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f246,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f245]) ).
fof(f247,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f248,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f247]) ).
fof(f255,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,[],[f87]) ).
fof(f256,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,[],[f255]) ).
fof(f279,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,[],[f99]) ).
fof(f280,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,[],[f279]) ).
fof(f287,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,[],[f103]) ).
fof(f288,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,[],[f287]) ).
fof(f301,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f302,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f301]) ).
fof(f305,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f306,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,[],[f115]) ).
fof(f307,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,[],[f306]) ).
fof(f328,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,[],[f126]) ).
fof(f329,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,[],[f328]) ).
fof(f348,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,[],[f136]) ).
fof(f349,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,[],[f348]) ).
fof(f413,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,[],[f172]) ).
fof(f414,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,[],[f413]) ).
fof(f429,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)],[f12]) ).
fof(f436,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,[],[f244]) ).
fof(f437,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,[],[f436]) ).
fof(f438,plain,
! [X0,X1] :
( ? [X2] :
( vf(X0,X1) = X2
& rreal(X2) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f248]) ).
fof(f439,plain,
! [X0,X1] :
( ( vf(X0,X1) = sK7(X0,X1)
& rreal(sK7(X0,X1)) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f438]) ).
fof(f440,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,[],[f256]) ).
fof(f441,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))],[f440]) ).
fof(f450,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,[],[f288]) ).
fof(f451,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))],[f450]) ).
fof(f505,plain,
vf(vd1302,vd1288) != vf(vd1329,vd1289),
inference(cnf_transformation,[],[f181]) ).
fof(f506,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f3]) ).
fof(f507,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f4]) ).
fof(f508,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f5]) ).
fof(f511,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f8]) ).
fof(f512,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f9]) ).
fof(f513,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f10]) ).
fof(f514,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f10]) ).
fof(f515,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f10]) ).
fof(f516,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f10]) ).
fof(f517,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f11]) ).
fof(f518,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f429]) ).
fof(f519,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f429]) ).
fof(f520,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f429]) ).
fof(f521,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f429]) ).
fof(f522,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f429]) ).
fof(f523,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f429]) ).
fof(f526,plain,
vd1288 != vd1289,
inference(cnf_transformation,[],[f429]) ).
fof(f527,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f429]) ).
fof(f528,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,[],[f187]) ).
fof(f529,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,[],[f189]) ).
fof(f530,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,[],[f191]) ).
fof(f532,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,[],[f191]) ).
fof(f548,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f21]) ).
fof(f549,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(cnf_transformation,[],[f22]) ).
fof(f550,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f23]) ).
fof(f551,plain,
vd1302 != vd1287,
inference(cnf_transformation,[],[f24]) ).
fof(f585,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f58]) ).
fof(f588,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f61]) ).
fof(f592,plain,
rline(vd1297),
inference(cnf_transformation,[],[f65]) ).
fof(f593,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f66]) ).
fof(f595,plain,
rline(vd1295),
inference(cnf_transformation,[],[f68]) ).
fof(f601,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,[],[f238]) ).
fof(f602,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f74]) ).
fof(f604,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f76]) ).
fof(f605,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f77]) ).
fof(f606,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f78]) ).
fof(f609,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,[],[f437]) ).
fof(f610,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,[],[f437]) ).
fof(f611,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,[],[f437]) ).
fof(f612,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f246]) ).
fof(f614,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK7(X0,X1)
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f439]) ).
fof(f618,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f441]) ).
fof(f619,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f441]) ).
fof(f620,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f441]) ).
fof(f638,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,[],[f280]) ).
fof(f651,plain,
! [X3,X0,X1,X4] :
( rcircle(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f451]) ).
fof(f652,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f451]) ).
fof(f653,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f451]) ).
fof(f658,plain,
v0 = vd684,
inference(cnf_transformation,[],[f108]) ).
fof(f677,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X2) = vplus(vf(X0,X1),vf(X1,X2))
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f302]) ).
fof(f679,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f305]) ).
fof(f680,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,[],[f307]) ).
fof(f701,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,[],[f329]) ).
fof(f711,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,[],[f349]) ).
fof(f817,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,[],[f414]) ).
fof(f828,plain,
vf(vd1303,sK2) != vf(vd1329,sK1),
inference(definition_unfolding,[],[f505,f516,f521,f523]) ).
fof(f829,plain,
vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2),
inference(definition_unfolding,[],[f506,f523,f519,f521,f516,f519,f521]) ).
fof(f830,plain,
vangle(sK1,sK3,sK2) = vangle(sK1,sK3,vd1329),
inference(definition_unfolding,[],[f507,f523,f519,f521,f523,f519]) ).
fof(f831,plain,
~ rR(sK3,sK2,vd1329),
inference(definition_unfolding,[],[f508,f519,f521]) ).
fof(f834,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f515,f523,f519,f516]) ).
fof(f835,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f513,f521,f519,f512]) ).
fof(f836,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f527,f519,f521,f519,f523]) ).
fof(f837,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f526,f521,f523]) ).
fof(f842,plain,
vd1329 != sK3,
inference(definition_unfolding,[],[f548,f519]) ).
fof(f843,plain,
vf(sK3,vd1303) = vf(sK3,vd1329),
inference(definition_unfolding,[],[f549,f519,f516,f519]) ).
fof(f844,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f550,f523,f519]) ).
fof(f845,plain,
vd1303 != sK3,
inference(definition_unfolding,[],[f551,f516,f519]) ).
fof(f878,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f585,f521,f519]) ).
fof(f881,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f588,f516]) ).
fof(f885,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f593,f521]) ).
fof(f888,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f604,f523]) ).
fof(f889,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f605,f519]) ).
fof(f890,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f606,f519]) ).
fof(f891,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,[],[f611,f658]) ).
fof(f892,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,[],[f610,f658]) ).
fof(f893,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,[],[f609,f658]) ).
fof(f900,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,[],[f528]) ).
fof(f901,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,[],[f900]) ).
fof(f902,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,[],[f901]) ).
fof(f903,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,[],[f902]) ).
fof(f904,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,[],[f903]) ).
fof(f905,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,[],[f904]) ).
fof(f906,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,[],[f905]) ).
fof(f907,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,[],[f529]) ).
fof(f908,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,[],[f907]) ).
fof(f909,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,[],[f908]) ).
fof(f910,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,[],[f909]) ).
fof(f914,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,[],[f532]) ).
fof(f915,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f914]) ).
fof(f916,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f915]) ).
fof(f917,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f916]) ).
fof(f922,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,[],[f530]) ).
fof(f923,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f922]) ).
fof(f924,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f923]) ).
fof(f1019,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,[],[f601]) ).
fof(f1020,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,[],[f1019]) ).
fof(f1021,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,[],[f1020]) ).
fof(f1022,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,[],[f1021]) ).
fof(f1029,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,[],[f891]) ).
fof(f1030,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,[],[f1029]) ).
fof(f1031,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,[],[f1030]) ).
fof(f1032,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,[],[f1031]) ).
fof(f1033,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,[],[f892]) ).
fof(f1034,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,[],[f1033]) ).
fof(f1035,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,[],[f1034]) ).
fof(f1036,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,[],[f1035]) ).
fof(f1037,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,[],[f893]) ).
fof(f1038,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,[],[f1037]) ).
fof(f1039,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,[],[f1038]) ).
fof(f1040,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,[],[f1039]) ).
fof(f1041,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f612]) ).
fof(f1042,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f1041]) ).
fof(f1043,plain,
! [X3,X0,X4] :
( vf(X0,X3) = sK7(X0,X3)
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f614]) ).
fof(f1044,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X4,X3) = sK7(X4,X3) ),
inference(equality_resolution,[],[f1043]) ).
fof(f1055,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f620]) ).
fof(f1056,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1055]) ).
fof(f1057,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f619]) ).
fof(f1058,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1057]) ).
fof(f1059,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f618]) ).
fof(f1060,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1059]) ).
fof(f1114,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,[],[f638]) ).
fof(f1115,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,[],[f1114]) ).
fof(f1116,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,[],[f1115]) ).
fof(f1117,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,[],[f1116]) ).
fof(f1150,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f653]) ).
fof(f1151,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1150]) ).
fof(f1152,plain,
! [X3,X0,X4] :
( rcenter(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f652]) ).
fof(f1153,plain,
! [X3,X4] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1152]) ).
fof(f1154,plain,
! [X3,X0,X4] :
( rcircle(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f651]) ).
fof(f1155,plain,
! [X3,X4] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1154]) ).
fof(f1202,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X1),vf(X1,X3))
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f677]) ).
fof(f1203,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X4),vf(X4,X3))
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1202]) ).
fof(f1204,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| vf(X5,X3) = vplus(vf(X5,X4),vf(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1203]) ).
fof(f1209,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,[],[f680]) ).
fof(f1210,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,[],[f1209]) ).
fof(f1211,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,[],[f1210]) ).
fof(f1212,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,[],[f1211]) ).
fof(f1289,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,[],[f701]) ).
fof(f1290,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,[],[f1289]) ).
fof(f1291,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,[],[f1290]) ).
fof(f1292,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,[],[f1291]) ).
fof(f1293,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,[],[f1292]) ).
fof(f1338,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,[],[f711]) ).
fof(f1339,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,[],[f1338]) ).
fof(f1340,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,[],[f1339]) ).
fof(f1341,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,[],[f1340]) ).
fof(f1624,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,[],[f817]) ).
fof(f1625,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,[],[f1624]) ).
fof(f1670,definition,
sF52 = vf(vd1303,sK2),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1671,plain,
vf(vd1303,sK2) = sF52,
inference(reorient_equations,[],[f1670]) ).
fof(f1672,definition,
sF53 = vf(vd1329,sK1),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1673,plain,
vf(vd1329,sK1) = sF53,
inference(reorient_equations,[],[f1672]) ).
fof(f1674,plain,
sF52 != sF53,
inference(definition_folding,[],[f828,f1673,f1671]) ).
fof(f1677,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f917]) ).
fof(f1766,definition,
( spl54_21
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f1768,plain,
( sK1 != sK3
| spl54_21 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1843,plain,
~ spl54_21,
inference(avatar_split_clause,[],[f844,f1766]) ).
fof(f1845,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f924,f835]) ).
fof(f1846,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1845,f517]) ).
fof(f1848,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1846,f520]) ).
fof(f1850,plain,
rR(sK2,vd1300,sK3),
inference(forward_subsumption_resolution,[],[f1848,f518]) ).
fof(f1857,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1329,X0) = vf(X0,vd1329) ),
inference(resolution,[],[f1042,f511]) ).
fof(f1858,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1303,X0) = vf(X0,vd1303) ),
inference(resolution,[],[f1042,f514]) ).
fof(f1891,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK2,X0,X1)
| rR(sK2,X2,X3)
| sK2 = X1
| sK2 = X3
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK2,X1) = vangle(X2,sK2,X0)
| ~ rline(X4)
| ~ rline(vd1295)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK2) ),
inference(resolution,[],[f906,f885]) ).
fof(f1894,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,[],[f906,f889]) ).
fof(f1928,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,[],[f1040,f602]) ).
fof(f1940,plain,
vf(sK3,vd1329) = vf(vd1329,sK3),
inference(resolution,[],[f1857,f518]) ).
fof(f1941,plain,
vf(sK3,vd1303) = vf(vd1329,sK3),
inference(forward_demodulation,[],[f1940,f843]) ).
fof(f1949,plain,
vf(sK3,vd1303) = vf(vd1303,sK3),
inference(resolution,[],[f1858,f518]) ).
fof(f1952,plain,
! [X0] :
( ~ rR(X0,sK3,sK1)
| rR(X0,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1117,f834]) ).
fof(f1963,plain,
! [X0] :
( ~ rR(X0,sK3,sK1)
| rR(X0,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1952,f514]) ).
fof(f1969,plain,
! [X0] :
( ~ rR(X0,sK3,sK1)
| rR(X0,sK3,vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1963,f522]) ).
fof(f1975,plain,
! [X0] :
( ~ rR(X0,sK3,sK1)
| rR(X0,sK3,vd1303)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1969,f518]) ).
fof(f1980,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f910,f1850]) ).
fof(f1983,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1980,f518]) ).
fof(f1989,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1983,f520]) ).
fof(f1995,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1300,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1989,f517]) ).
fof(f2004,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,[],[f1056,f1040]) ).
fof(f2007,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,[],[f2004]) ).
fof(f2009,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,[],[f2007,f1060]) ).
fof(f2010,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,[],[f2009,f1056]) ).
fof(f2011,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,[],[f2010]) ).
fof(f2012,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,[],[f2011,f1677]) ).
fof(f2015,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,[],[f1058,f2012]) ).
fof(f2022,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f2015]) ).
fof(f2029,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vd684 = vangle(X0,sK2,X0) ),
inference(resolution,[],[f2022,f520]) ).
fof(f2030,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(X0,sK3,X0) ),
inference(resolution,[],[f2022,f518]) ).
fof(f2072,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,[],[f1212,f890]) ).
fof(f2092,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| X1 = X2
| ~ ron(X0,X2)
| ~ ron(sK2,X1)
| ~ rcenter(sK3,X2)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1625,f836]) ).
fof(f2097,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| X1 = X2
| ~ ron(X0,X2)
| ~ ron(sK2,X1)
| ~ rcenter(sK3,X2)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2092,f520]) ).
fof(f2275,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1036,f829]) ).
fof(f2276,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1032,f829]) ).
fof(f2360,plain,
( vd1303 = sK3
| vd684 = vangle(vd1303,sK3,vd1303) ),
inference(resolution,[],[f2030,f514]) ).
fof(f2362,plain,
( sK2 = sK3
| vd684 = vangle(sK2,sK3,sK2) ),
inference(resolution,[],[f2030,f520]) ).
fof(f2364,plain,
vd684 = vangle(sK2,sK3,sK2),
inference(forward_subsumption_resolution,[],[f2362,f878]) ).
fof(f2366,plain,
vd684 = vangle(vd1303,sK3,vd1303),
inference(forward_subsumption_resolution,[],[f2360,f845]) ).
fof(f2519,plain,
! [X0] :
( ~ rR(sK2,vd1300,X0)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f1341,f1850]) ).
fof(f2522,plain,
! [X0] :
( ~ rR(sK2,vd1300,X0)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f2519,f518]) ).
fof(f2528,plain,
! [X0] :
( ~ rR(sK2,vd1300,X0)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f2522,f520]) ).
fof(f2534,plain,
! [X0] :
( ~ rR(sK2,sK3,X0)
| ~ rR(sK2,vd1300,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2528,f517]) ).
fof(f2707,plain,
( sK2 = sK3
| vd684 = vangle(sK3,sK2,sK3) ),
inference(resolution,[],[f2029,f518]) ).
fof(f2708,plain,
vd684 = vangle(sK3,sK2,sK3),
inference(forward_subsumption_resolution,[],[f2707,f878]) ).
fof(f3018,plain,
! [X0,X1] :
( X0 = X1
| ~ ron(sK1,X1)
| ~ ron(sK2,X0)
| ~ rcenter(sK3,X1)
| ~ rcenter(sK3,X0)
| ~ rpoint(sK1) ),
inference(equality_resolution,[],[f2097]) ).
fof(f3020,plain,
! [X0,X1] :
( ~ rcenter(sK3,X1)
| ~ ron(sK1,X1)
| ~ ron(sK2,X0)
| X0 = X1
| ~ rcenter(sK3,X0) ),
inference(forward_subsumption_resolution,[],[f3018,f522]) ).
fof(f3122,plain,
! [X0,X1] :
( sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ ron(sK1,sK12(sK3,X0))
| ~ ron(sK2,X1)
| sK12(sK3,X0) = X1
| ~ rcenter(sK3,X1) ),
inference(resolution,[],[f1153,f3020]) ).
fof(f3124,plain,
! [X0,X1] :
( ~ ron(sK1,sK12(sK3,X0))
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(sK2,X1)
| sK12(sK3,X0) = X1
| ~ rcenter(sK3,X1) ),
inference(forward_subsumption_resolution,[],[f3122,f518]) ).
fof(f3167,plain,
! [X0] :
( sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| sK1 = sK3
| ~ ron(sK2,X0)
| sK12(sK3,sK1) = X0
| ~ rcenter(sK3,X0) ),
inference(resolution,[],[f1151,f3124]) ).
fof(f3168,plain,
! [X0] :
( sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ ron(sK2,X0)
| sK12(sK3,sK1) = X0
| ~ rcenter(sK3,X0) ),
inference(duplicate_literal_removal,[],[f3167]) ).
fof(f3174,plain,
( ! [X0] :
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ ron(sK2,X0)
| sK12(sK3,sK1) = X0
| ~ rcenter(sK3,X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3168,f1768]) ).
fof(f3175,plain,
( ! [X0] :
( ~ rpoint(sK3)
| ~ ron(sK2,X0)
| sK12(sK3,sK1) = X0
| ~ rcenter(sK3,X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3174,f522]) ).
fof(f3176,plain,
( ! [X0] :
( ~ rcenter(sK3,X0)
| sK12(sK3,sK1) = X0
| ~ ron(sK2,X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3175,f518]) ).
fof(f3177,plain,
( ! [X0] :
( sK12(sK3,X0) = sK12(sK3,sK1)
| ~ ron(sK2,sK12(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(resolution,[],[f3176,f1153]) ).
fof(f3178,plain,
( ! [X0] :
( ~ ron(sK2,sK12(sK3,X0))
| sK12(sK3,X0) = sK12(sK3,sK1)
| sK3 = X0
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3177,f518]) ).
fof(f3555,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_21 ),
inference(resolution,[],[f3178,f1151]) ).
fof(f3556,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_21 ),
inference(duplicate_literal_removal,[],[f3555]) ).
fof(f3557,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3556,f878]) ).
fof(f3558,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| ~ rpoint(sK3)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3557,f520]) ).
fof(f3559,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3558,f518]) ).
fof(f3562,plain,
( ron(sK2,sK12(sK3,sK1))
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_21 ),
inference(superposition,[],[f1151,f3559]) ).
fof(f3567,plain,
( ron(sK2,sK12(sK3,sK1))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3562,f878]) ).
fof(f3571,plain,
( ron(sK2,sK12(sK3,sK1))
| ~ rpoint(sK3)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3567,f520]) ).
fof(f3575,plain,
( ron(sK2,sK12(sK3,sK1))
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3571,f518]) ).
fof(f3998,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK3,X0) = sK7(sK3,X0) ),
inference(resolution,[],[f1044,f518]) ).
fof(f4003,plain,
vf(sK3,vd1303) = sK7(sK3,vd1303),
inference(resolution,[],[f3998,f514]) ).
fof(f4006,plain,
vf(sK3,sK1) = sK7(sK3,sK1),
inference(resolution,[],[f3998,f522]) ).
fof(f10022,plain,
! [X0,X1] :
( rinside(X0,sK12(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f679,f1153]) ).
fof(f10031,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,[],[f10022,f1293]) ).
fof(f10036,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,[],[f10031]) ).
fof(f10037,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,[],[f10036,f1155]) ).
fof(f17343,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,[],[f1894,f592]) ).
fof(f17346,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK2,X0,X1)
| rR(sK2,X2,X3)
| sK2 = X1
| sK2 = X3
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK2,X1) = vangle(X2,sK2,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1891,f595]) ).
fof(f17356,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,[],[f1928,f595]) ).
fof(f17360,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,[],[f2072,f595]) ).
fof(f17366,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2276,f878]) ).
fof(f17367,plain,
! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2275,f878]) ).
fof(f17550,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,[],[f17343,f518]) ).
fof(f17553,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1295)
| rR(sK2,X2,X3)
| sK2 = X1
| sK2 = X3
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK2,X0,X1)
| ~ ron(X2,vd1295)
| vangle(X3,sK2,X1) = vangle(X2,sK2,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f17346,f520]) ).
fof(f17563,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,[],[f17356,f511]) ).
fof(f17567,plain,
! [X0,X1] :
( ~ ron(sK3,X1)
| ~ ron(X0,vd1295)
| ~ ron(X0,X1)
| vd1295 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f17360,f518]) ).
fof(f17573,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17366,f1768]) ).
fof(f17574,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17367,f1768]) ).
fof(f17793,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17573,f520]) ).
fof(f17794,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17574,f520]) ).
fof(f17953,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17793,f522]) ).
fof(f17954,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17794,f522]) ).
fof(f18094,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17953,f518]) ).
fof(f18095,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK3,sK2)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f17954,f518]) ).
fof(f18234,definition,
( spl54_844
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_844])],[avatar_definition]) ).
fof(f18235,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) )
| ~ spl54_844 ),
inference(avatar_component_clause,[],[f18234]) ).
fof(f18237,definition,
( spl54_845
<=> rR(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_845])],[avatar_definition]) ).
fof(f18239,plain,
( ~ rR(sK3,sK1,sK2)
| spl54_845 ),
inference(avatar_component_clause,[],[f18237]) ).
fof(f18241,definition,
( spl54_846
<=> vd684 = vangle(vd1303,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_846])],[avatar_definition]) ).
fof(f18243,plain,
( vd684 != vangle(vd1303,sK3,sK2)
| spl54_846 ),
inference(avatar_component_clause,[],[f18241]) ).
fof(f18244,plain,
( spl54_844
| ~ spl54_845
| ~ spl54_846
| spl54_21 ),
inference(avatar_split_clause,[],[f18094,f1766,f18241,f18237,f18234]) ).
fof(f18246,definition,
( spl54_847
<=> ! [X0] :
( ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_847])],[avatar_definition]) ).
fof(f18247,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ron(sK2,X0)
| ~ ron(sK1,X0) )
| ~ spl54_847 ),
inference(avatar_component_clause,[],[f18246]) ).
fof(f18248,plain,
( spl54_847
| ~ spl54_846
| spl54_21 ),
inference(avatar_split_clause,[],[f18095,f1766,f18241,f18246]) ).
fof(f18257,definition,
( spl54_850
<=> vd684 = vangle(sK3,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_850])],[avatar_definition]) ).
fof(f18258,plain,
( vd684 = vangle(sK3,sK2,sK1)
| ~ spl54_850 ),
inference(avatar_component_clause,[],[f18257]) ).
fof(f18259,plain,
( vd684 != vangle(sK3,sK2,sK1)
| spl54_850 ),
inference(avatar_component_clause,[],[f18257]) ).
fof(f18300,definition,
( spl54_860
<=> ! [X0] :
( ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_860])],[avatar_definition]) ).
fof(f18301,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ron(sK1,X0)
| ~ ron(sK2,X0) )
| ~ spl54_860 ),
inference(avatar_component_clause,[],[f18300]) ).
fof(f18428,definition,
( spl54_889
<=> rR(sK3,vd1329,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_889])],[avatar_definition]) ).
fof(f18429,plain,
( rR(sK3,vd1329,sK1)
| ~ spl54_889 ),
inference(avatar_component_clause,[],[f18428]) ).
fof(f18430,plain,
( ~ rR(sK3,vd1329,sK1)
| spl54_889 ),
inference(avatar_component_clause,[],[f18428]) ).
fof(f18565,definition,
( spl54_901
<=> rR(sK3,sK1,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_901])],[avatar_definition]) ).
fof(f18566,plain,
( rR(sK3,sK1,vd1329)
| ~ spl54_901 ),
inference(avatar_component_clause,[],[f18565]) ).
fof(f18567,plain,
( ~ rR(sK3,sK1,vd1329)
| spl54_901 ),
inference(avatar_component_clause,[],[f18565]) ).
fof(f21707,definition,
( spl54_1190
<=> ron(sK1,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_1190])],[avatar_definition]) ).
fof(f21708,plain,
( ron(sK1,vd1295)
| ~ spl54_1190 ),
inference(avatar_component_clause,[],[f21707]) ).
fof(f21709,plain,
( ~ ron(sK1,vd1295)
| spl54_1190 ),
inference(avatar_component_clause,[],[f21707]) ).
fof(f22164,definition,
( spl54_1202
<=> ron(sK2,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_1202])],[avatar_definition]) ).
fof(f22165,plain,
( ron(sK2,vd1297)
| ~ spl54_1202 ),
inference(avatar_component_clause,[],[f22164]) ).
fof(f22166,plain,
( ~ ron(sK2,vd1297)
| spl54_1202 ),
inference(avatar_component_clause,[],[f22164]) ).
fof(f22311,plain,
! [X2,X3,X0,X1] :
( rR(sK2,X0,sK3)
| sK2 = X1
| sK2 = sK3
| sK2 = X2
| sK2 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK2,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK2,X2) = vangle(sK3,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f17553,f890]) ).
fof(f22314,plain,
! [X2,X3,X0,X1] :
( rR(sK2,X0,sK3)
| sK2 = X1
| sK2 = X2
| sK2 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK2,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK2,X2) = vangle(sK3,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f22311,f878]) ).
fof(f22317,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK2 = X1
| sK2 = X2
| sK2 = X0
| ~ ron(X1,X3)
| rR(sK2,X0,sK3)
| rR(sK2,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK2,X2) = vangle(sK3,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f22314,f518]) ).
fof(f22336,plain,
! [X0,X1] :
( sK2 = X0
| sK2 = sK3
| sK2 = X1
| ~ ron(X0,vd1297)
| rR(sK2,X1,sK3)
| rR(sK2,sK3,X0)
| ~ ron(X1,vd1295)
| vangle(sK3,sK2,X0) = vangle(X1,sK2,sK3)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(X1) ),
inference(resolution,[],[f22317,f889]) ).
fof(f22351,plain,
! [X0,X1] :
( sK2 = X0
| sK2 = X1
| ~ ron(X0,vd1297)
| rR(sK2,X1,sK3)
| rR(sK2,sK3,X0)
| ~ ron(X1,vd1295)
| vangle(sK3,sK2,X0) = vangle(X1,sK2,sK3)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f22336,f878]) ).
fof(f22360,plain,
! [X0,X1] :
( sK2 = X0
| sK2 = X1
| ~ ron(X0,vd1297)
| rR(sK2,X1,sK3)
| rR(sK2,sK3,X0)
| ~ ron(X1,vd1295)
| vangle(sK3,sK2,X0) = vangle(X1,sK2,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f22351,f592]) ).
fof(f22369,plain,
! [X0,X1] :
( rR(sK2,sK3,X0)
| rR(sK2,X1,sK3)
| ~ ron(X0,vd1297)
| sK2 = X1
| sK2 = X0
| ~ ron(X1,vd1295)
| vangle(sK3,sK2,X0) = vangle(X1,sK2,sK3)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f22360,f518]) ).
fof(f22379,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,[],[f17550,f881]) ).
fof(f22382,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,[],[f22379,f845]) ).
fof(f22384,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,[],[f22382,f514]) ).
fof(f23597,plain,
! [X0] :
( rR(sK2,sK3,X0)
| ~ ron(X0,vd1297)
| sK2 = sK3
| sK2 = X0
| ~ ron(sK3,vd1295)
| vangle(sK3,sK2,sK3) = vangle(sK3,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(resolution,[],[f22369,f1677]) ).
fof(f23600,plain,
! [X0] :
( rR(sK2,sK3,X0)
| ~ ron(X0,vd1297)
| sK2 = sK3
| sK2 = X0
| ~ ron(sK3,vd1295)
| vangle(sK3,sK2,sK3) = vangle(sK3,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(duplicate_literal_removal,[],[f23597]) ).
fof(f23622,plain,
! [X0] :
( rR(sK2,sK3,X0)
| ~ ron(X0,vd1297)
| sK2 = X0
| ~ ron(sK3,vd1295)
| vangle(sK3,sK2,sK3) = vangle(sK3,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f23600,f878]) ).
fof(f23642,plain,
! [X0] :
( rR(sK2,sK3,X0)
| ~ ron(X0,vd1297)
| sK2 = X0
| vangle(sK3,sK2,sK3) = vangle(sK3,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f23622,f890]) ).
fof(f23662,plain,
! [X0] :
( rR(sK2,sK3,X0)
| ~ ron(X0,vd1297)
| sK2 = X0
| vangle(sK3,sK2,sK3) = vangle(sK3,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f23642,f518]) ).
fof(f23668,plain,
! [X0] :
( rR(sK2,sK3,X0)
| ~ ron(X0,vd1297)
| sK2 = X0
| vangle(sK3,sK2,sK3) = vangle(sK3,sK2,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f23662,f520]) ).
fof(f23674,plain,
! [X0] :
( rR(sK2,sK3,X0)
| vd684 = vangle(sK3,sK2,X0)
| ~ ron(X0,vd1297)
| sK2 = X0
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f23668,f2708]) ).
fof(f23680,definition,
( spl54_1227
<=> rR(sK2,sK3,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_1227])],[avatar_definition]) ).
fof(f23682,plain,
( rR(sK2,sK3,vd1303)
| ~ spl54_1227 ),
inference(avatar_component_clause,[],[f23680]) ).
fof(f23689,plain,
( vd684 = vangle(sK3,sK2,sK1)
| ~ ron(sK1,vd1297)
| sK1 = sK2
| ~ rpoint(sK1)
| rR(sK2,sK3,vd1303)
| ~ rpoint(sK2) ),
inference(resolution,[],[f23674,f1975]) ).
fof(f23719,plain,
( ~ ron(sK1,vd1297)
| sK1 = sK2
| ~ rpoint(sK1)
| rR(sK2,sK3,vd1303)
| ~ rpoint(sK2)
| spl54_850 ),
inference(forward_subsumption_resolution,[],[f23689,f18259]) ).
fof(f23728,plain,
( sK1 = sK2
| ~ rpoint(sK1)
| rR(sK2,sK3,vd1303)
| ~ rpoint(sK2)
| spl54_850 ),
inference(forward_subsumption_resolution,[],[f23719,f888]) ).
fof(f23730,plain,
( ~ rpoint(sK1)
| rR(sK2,sK3,vd1303)
| ~ rpoint(sK2)
| spl54_850 ),
inference(forward_subsumption_resolution,[],[f23728,f837]) ).
fof(f23732,plain,
( rR(sK2,sK3,vd1303)
| ~ rpoint(sK2)
| spl54_850 ),
inference(forward_subsumption_resolution,[],[f23730,f522]) ).
fof(f23734,plain,
( rR(sK2,sK3,vd1303)
| spl54_850 ),
inference(forward_subsumption_resolution,[],[f23732,f520]) ).
fof(f23735,plain,
( spl54_1227
| spl54_850 ),
inference(avatar_split_clause,[],[f23734,f18257,f23680]) ).
fof(f23736,plain,
( ~ rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_1227 ),
inference(resolution,[],[f23682,f2534]) ).
fof(f23740,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_1227 ),
inference(resolution,[],[f23682,f1022]) ).
fof(f23749,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f23740,f514]) ).
fof(f23753,plain,
( ~ rR(sK2,vd1300,vd1303)
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f23736,f514]) ).
fof(f23758,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f23749,f520]) ).
fof(f23766,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1303,X0)
| ron(sK2,X0)
| ~ rline(X0) )
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f23758,f518]) ).
fof(f24387,plain,
! [X0,X1] :
( sK3 = X0
| sK2 = sK3
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,vd1303)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(resolution,[],[f22384,f885]) ).
fof(f24391,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,[],[f22384,f881]) ).
fof(f24405,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,[],[f24391,f845]) ).
fof(f24407,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,vd1303)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f24387,f878]) ).
fof(f24414,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,[],[f24405,f592]) ).
fof(f24416,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,vd1303)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f24407,f595]) ).
fof(f24423,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,[],[f24414,f514]) ).
fof(f24425,plain,
! [X0,X1] :
( rR(sK3,sK2,X0)
| rR(sK3,X1,vd1303)
| ~ ron(X0,vd1295)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f24416,f520]) ).
fof(f24920,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| ~ ron(vd1329,vd1295)
| sK3 = X0
| vd1329 = sK3
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1329) = vangle(X0,sK3,sK2)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(resolution,[],[f24425,f831]) ).
fof(f24978,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| vd1329 = sK3
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1329) = vangle(X0,sK3,sK2)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f24920,f602]) ).
fof(f24997,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1329) = vangle(X0,sK3,sK2)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f24978,f842]) ).
fof(f25002,plain,
! [X0] :
( rR(sK3,X0,vd1303)
| sK3 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK3,vd1329) = vangle(X0,sK3,sK2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f24997,f511]) ).
fof(f25010,plain,
( sK2 = sK3
| ~ ron(sK2,vd1297)
| vangle(sK2,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(sK2)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f25002,f1995]) ).
fof(f25020,plain,
( vd1303 = sK3
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f25002,f1677]) ).
fof(f25021,plain,
( vd1303 = sK3
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f25020]) ).
fof(f25031,plain,
( ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f25021,f845]) ).
fof(f25042,plain,
( vangle(vd1303,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f25031,f881]) ).
fof(f25053,plain,
( vangle(vd1303,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f25042,f514]) ).
fof(f25057,plain,
vangle(vd1303,sK3,sK2) = vangle(vd1303,sK3,vd1329),
inference(forward_subsumption_resolution,[],[f25053,f518]) ).
fof(f26372,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| ~ rline(vd1297)
| sK3 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f17567,f889]) ).
fof(f26380,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f26372,f592]) ).
fof(f26384,definition,
( spl54_1245
<=> vd1295 = vd1297 ),
introduced(definition,[new_symbols(definition,[spl54_1245])],[avatar_definition]) ).
fof(f26386,plain,
( vd1295 = vd1297
| ~ spl54_1245 ),
inference(avatar_component_clause,[],[f26384]) ).
fof(f26388,definition,
( spl54_1246
<=> ! [X0] :
( ~ ron(X0,vd1295)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297) ) ),
introduced(definition,[new_symbols(definition,[spl54_1246])],[avatar_definition]) ).
fof(f26389,plain,
( ! [X0] :
( ~ ron(X0,vd1297)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1295) )
| ~ spl54_1246 ),
inference(avatar_component_clause,[],[f26388]) ).
fof(f26390,plain,
( spl54_1245
| spl54_1246 ),
inference(avatar_split_clause,[],[f26380,f26388,f26384]) ).
fof(f26391,plain,
( ~ rpoint(sK1)
| sK1 = sK3
| ~ ron(sK1,vd1295)
| ~ spl54_1246 ),
inference(resolution,[],[f26389,f888]) ).
fof(f26814,plain,
( ~ ron(vd1303,vd1297)
| ron(sK2,vd1297)
| ~ rline(vd1297)
| ~ spl54_1227 ),
inference(resolution,[],[f23766,f889]) ).
fof(f26821,plain,
( ron(sK2,vd1297)
| ~ rline(vd1297)
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f26814,f881]) ).
fof(f26824,plain,
( ~ rline(vd1297)
| spl54_1202
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f26821,f22166]) ).
fof(f26825,plain,
( $false
| spl54_1202
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f26824,f592]) ).
fof(f26826,plain,
( spl54_1202
| ~ spl54_1227 ),
inference(avatar_contradiction_clause,[],[f26825]) ).
fof(f26850,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_850 ),
inference(superposition,[],[f1036,f18258]) ).
fof(f26853,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_850 ),
inference(trivial_inequality_removal,[],[f26850]) ).
fof(f26855,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_850 ),
inference(forward_subsumption_resolution,[],[f26853,f837]) ).
fof(f26859,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_850 ),
inference(forward_subsumption_resolution,[],[f26855,f878]) ).
fof(f26863,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_850 ),
inference(forward_subsumption_resolution,[],[f26859,f522]) ).
fof(f26867,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| ~ spl54_850 ),
inference(forward_subsumption_resolution,[],[f26863,f518]) ).
fof(f26871,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| ~ spl54_850 ),
inference(forward_subsumption_resolution,[],[f26867,f520]) ).
fof(f26875,plain,
( spl54_860
| ~ spl54_850 ),
inference(avatar_split_clause,[],[f26871,f18257,f18300]) ).
fof(f26901,plain,
( ~ rline(vd1295)
| ron(sK1,vd1295)
| ~ ron(sK2,vd1295)
| ~ spl54_860 ),
inference(resolution,[],[f18301,f890]) ).
fof(f26909,plain,
( ron(sK1,vd1295)
| ~ ron(sK2,vd1295)
| ~ spl54_860 ),
inference(forward_subsumption_resolution,[],[f26901,f595]) ).
fof(f26912,plain,
( ~ ron(sK2,vd1295)
| ~ spl54_860
| spl54_1190 ),
inference(forward_subsumption_resolution,[],[f26909,f21709]) ).
fof(f26913,plain,
( $false
| ~ spl54_860
| spl54_1190 ),
inference(forward_subsumption_resolution,[],[f26912,f885]) ).
fof(f26914,plain,
( ~ spl54_860
| spl54_1190 ),
inference(avatar_contradiction_clause,[],[f26913]) ).
fof(f26940,plain,
( sK1 = sK3
| ~ ron(sK1,vd1295)
| ~ spl54_1246 ),
inference(forward_subsumption_resolution,[],[f26391,f522]) ).
fof(f26966,plain,
( ~ ron(sK1,vd1295)
| spl54_21
| ~ spl54_1246 ),
inference(forward_subsumption_resolution,[],[f26940,f1768]) ).
fof(f26991,plain,
( $false
| spl54_21
| ~ spl54_1190
| ~ spl54_1246 ),
inference(forward_subsumption_resolution,[],[f26966,f21708]) ).
fof(f26992,plain,
( spl54_21
| ~ spl54_1190
| ~ spl54_1246 ),
inference(avatar_contradiction_clause,[],[f26991]) ).
fof(f27098,plain,
( ~ ron(sK2,vd1297)
| vangle(sK2,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(sK2)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f25010,f878]) ).
fof(f27120,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(sK2)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_1202 ),
inference(forward_subsumption_resolution,[],[f27098,f22165]) ).
fof(f27143,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| rR(sK2,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_1202 ),
inference(forward_subsumption_resolution,[],[f27120,f520]) ).
fof(f27175,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ rpoint(vd1303)
| ~ spl54_1202
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f27143,f23753]) ).
fof(f27189,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1303,sK3,vd1329)
| ~ spl54_1202
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f27175,f514]) ).
fof(f27201,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,sK2)
| ~ spl54_1202
| ~ spl54_1227 ),
inference(forward_demodulation,[],[f27189,f25057]) ).
fof(f27210,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| ~ spl54_1202
| ~ spl54_1227 ),
inference(forward_demodulation,[],[f27201,f2364]) ).
fof(f27218,plain,
( $false
| spl54_846
| ~ spl54_1202
| ~ spl54_1227 ),
inference(forward_subsumption_resolution,[],[f27210,f18243]) ).
fof(f27219,plain,
( spl54_846
| ~ spl54_1202
| ~ spl54_1227 ),
inference(avatar_contradiction_clause,[],[f27218]) ).
fof(f27293,definition,
( spl54_1258
<=> rR(sK3,vd1303,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_1258])],[avatar_definition]) ).
fof(f27294,plain,
( rR(sK3,vd1303,sK2)
| ~ spl54_1258 ),
inference(avatar_component_clause,[],[f27293]) ).
fof(f27295,plain,
( ~ rR(sK3,vd1303,sK2)
| spl54_1258 ),
inference(avatar_component_clause,[],[f27293]) ).
fof(f27664,plain,
( ~ rline(vd1297)
| ~ ron(sK1,vd1297)
| ~ spl54_844 ),
inference(resolution,[],[f18235,f889]) ).
fof(f27671,plain,
( ~ ron(sK1,vd1297)
| ~ spl54_844 ),
inference(forward_subsumption_resolution,[],[f27664,f592]) ).
fof(f27675,plain,
( $false
| ~ spl54_844 ),
inference(forward_subsumption_resolution,[],[f27671,f888]) ).
fof(f27676,plain,
~ spl54_844,
inference(avatar_contradiction_clause,[],[f27675]) ).
fof(f29982,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| vd1303 = sK3
| sK3 = X0
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f24423,f1677]) ).
fof(f29985,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| vd1303 = sK3
| sK3 = X0
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f29982]) ).
fof(f30003,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f29985,f845]) ).
fof(f30027,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f30003,f881]) ).
fof(f30051,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f30027,f514]) ).
fof(f30075,plain,
! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f30051,f518]) ).
fof(f30099,plain,
( ! [X0] :
( ~ ron(X0,vd1295)
| rR(sK3,vd1303,X0)
| sK3 = X0
| vangle(vd1303,sK3,vd1303) = vangle(vd1303,sK3,X0)
| ~ rpoint(X0) )
| ~ spl54_1245 ),
inference(forward_demodulation,[],[f30075,f26386]) ).
fof(f30109,plain,
( ! [X0] :
( rR(sK3,vd1303,X0)
| ~ ron(X0,vd1295)
| vd684 = vangle(vd1303,sK3,X0)
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_1245 ),
inference(forward_demodulation,[],[f30099,f2366]) ).
fof(f30124,plain,
( ~ ron(sK2,vd1295)
| vd684 = vangle(vd1303,sK3,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ spl54_1245
| spl54_1258 ),
inference(resolution,[],[f30109,f27295]) ).
fof(f32924,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,[],[f10037,f1151]) ).
fof(f32935,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,[],[f32924]) ).
fof(f32974,plain,
( ! [X0] :
( ~ rpoint(sK3)
| sK1 = sK2
| ~ rpoint(sK1)
| sK1 = sK3
| rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_21 ),
inference(resolution,[],[f32935,f3575]) ).
fof(f32987,plain,
( ! [X0] :
( sK1 = sK2
| ~ rpoint(sK1)
| sK1 = sK3
| rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f32974,f518]) ).
fof(f32994,plain,
( ! [X0] :
( ~ rpoint(sK1)
| sK1 = sK3
| rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f32987,f837]) ).
fof(f33001,plain,
( ! [X0] :
( sK1 = sK3
| rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f32994,f522]) ).
fof(f33008,plain,
( ! [X0] :
( rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f33001,f1768]) ).
fof(f33013,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_21
| spl54_845 ),
inference(forward_subsumption_resolution,[],[f33008,f18239]) ).
fof(f33018,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl54_21
| spl54_845 ),
inference(forward_subsumption_resolution,[],[f33013,f520]) ).
fof(f33022,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl54_21
| spl54_845
| ~ spl54_847 ),
inference(forward_subsumption_resolution,[],[f33018,f18247]) ).
fof(f33030,plain,
( spl54_844
| spl54_21
| spl54_845
| ~ spl54_847 ),
inference(avatar_split_clause,[],[f33022,f18246,f18237,f1766,f18234]) ).
fof(f33093,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ spl54_1245
| spl54_1258 ),
inference(forward_subsumption_resolution,[],[f30124,f885]) ).
fof(f33189,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| spl54_846
| ~ spl54_1245
| spl54_1258 ),
inference(forward_subsumption_resolution,[],[f33093,f18243]) ).
fof(f33221,plain,
( ~ rpoint(sK2)
| spl54_846
| ~ spl54_1245
| spl54_1258 ),
inference(forward_subsumption_resolution,[],[f33189,f878]) ).
fof(f33248,plain,
( $false
| spl54_846
| ~ spl54_1245
| spl54_1258 ),
inference(forward_subsumption_resolution,[],[f33221,f520]) ).
fof(f33249,plain,
( spl54_846
| ~ spl54_1245
| spl54_1258 ),
inference(avatar_contradiction_clause,[],[f33248]) ).
fof(f34128,plain,
( vf(vd1303,sK2) = vplus(vf(vd1303,sK3),vf(sK3,sK2))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_1258 ),
inference(resolution,[],[f27294,f1204]) ).
fof(f34131,plain,
( vf(vd1303,sK2) = vplus(vf(vd1303,sK3),vf(sK3,sK2))
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_1258 ),
inference(forward_subsumption_resolution,[],[f34128,f520]) ).
fof(f34138,plain,
( vf(vd1303,sK2) = vplus(vf(vd1303,sK3),vf(sK3,sK2))
| ~ rpoint(vd1303)
| ~ spl54_1258 ),
inference(forward_subsumption_resolution,[],[f34131,f518]) ).
fof(f34145,plain,
( vf(vd1303,sK2) = vplus(vf(vd1303,sK3),vf(sK3,sK2))
| ~ spl54_1258 ),
inference(forward_subsumption_resolution,[],[f34138,f514]) ).
fof(f34151,plain,
( vf(vd1303,sK2) = vplus(vf(vd1303,sK3),vf(sK3,sK1))
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34145,f836]) ).
fof(f34154,plain,
( vf(vd1303,sK2) = vplus(vf(vd1303,sK3),sK7(sK3,sK1))
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34151,f4006]) ).
fof(f34650,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK1,vd1295)
| ~ ron(sK3,vd1295)
| vd1329 = sK3
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_901 ),
inference(resolution,[],[f18567,f17563]) ).
fof(f34651,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ ron(sK3,vd1295)
| vd1329 = sK3
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34650,f21708]) ).
fof(f34661,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| vd1329 = sK3
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34651,f890]) ).
fof(f34671,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34661,f842]) ).
fof(f34681,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_21
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34671,f1768]) ).
fof(f34691,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| ~ rpoint(sK3)
| spl54_21
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34681,f522]) ).
fof(f34702,plain,
( vd684 = vangle(sK1,sK3,vd1329)
| spl54_21
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34691,f518]) ).
fof(f34709,plain,
( vd684 = vangle(sK1,sK3,sK2)
| spl54_21
| spl54_901
| ~ spl54_1190 ),
inference(forward_demodulation,[],[f34702,f830]) ).
fof(f34712,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| spl54_21
| spl54_901
| ~ spl54_1190 ),
inference(forward_demodulation,[],[f34709,f829]) ).
fof(f34715,plain,
( $false
| spl54_21
| spl54_846
| spl54_901
| ~ spl54_1190 ),
inference(forward_subsumption_resolution,[],[f34712,f18243]) ).
fof(f34716,plain,
( spl54_21
| spl54_846
| spl54_901
| ~ spl54_1190 ),
inference(avatar_contradiction_clause,[],[f34715]) ).
fof(f34753,plain,
( vf(vd1303,sK2) = vplus(vf(sK3,vd1303),sK7(sK3,sK1))
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34154,f1949]) ).
fof(f34785,plain,
( vf(vd1303,sK2) = vplus(sK7(sK3,vd1303),sK7(sK3,sK1))
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34753,f4003]) ).
fof(f34801,plain,
( sF52 = vplus(sK7(sK3,vd1303),sK7(sK3,sK1))
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34785,f1671]) ).
fof(f34831,plain,
( rR(sK3,vd1329,sK1)
| ~ rpoint(vd1329)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_901 ),
inference(resolution,[],[f18566,f924]) ).
fof(f34861,plain,
( vf(vd1329,sK1) = vplus(vf(vd1329,sK3),vf(sK3,sK1))
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ spl54_889 ),
inference(resolution,[],[f18429,f1204]) ).
fof(f34863,plain,
( vf(vd1329,sK1) = vplus(vf(vd1329,sK3),vf(sK3,sK1))
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ spl54_889 ),
inference(forward_subsumption_resolution,[],[f34861,f522]) ).
fof(f34867,plain,
( vf(vd1329,sK1) = vplus(vf(vd1329,sK3),vf(sK3,sK1))
| ~ rpoint(vd1329)
| ~ spl54_889 ),
inference(forward_subsumption_resolution,[],[f34863,f518]) ).
fof(f34871,plain,
( vf(vd1329,sK1) = vplus(vf(vd1329,sK3),vf(sK3,sK1))
| ~ spl54_889 ),
inference(forward_subsumption_resolution,[],[f34867,f511]) ).
fof(f34875,plain,
( vf(vd1329,sK1) = vplus(vf(vd1329,sK3),sK7(sK3,sK1))
| ~ spl54_889 ),
inference(forward_demodulation,[],[f34871,f4006]) ).
fof(f34877,plain,
( vf(vd1329,sK1) = vplus(vf(sK3,vd1303),sK7(sK3,sK1))
| ~ spl54_889 ),
inference(forward_demodulation,[],[f34875,f1941]) ).
fof(f34878,plain,
( vf(vd1329,sK1) = vplus(sK7(sK3,vd1303),sK7(sK3,sK1))
| ~ spl54_889 ),
inference(forward_demodulation,[],[f34877,f4003]) ).
fof(f34879,plain,
( vf(vd1329,sK1) = sF52
| ~ spl54_889
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34878,f34801]) ).
fof(f34880,plain,
( sF52 = sF53
| ~ spl54_889
| ~ spl54_1258 ),
inference(forward_demodulation,[],[f34879,f1673]) ).
fof(f34881,plain,
( $false
| ~ spl54_889
| ~ spl54_1258 ),
inference(forward_subsumption_resolution,[],[f34880,f1674]) ).
fof(f34882,plain,
( ~ spl54_889
| ~ spl54_1258 ),
inference(avatar_contradiction_clause,[],[f34881]) ).
fof(f34884,plain,
( ~ rpoint(vd1329)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| spl54_889
| ~ spl54_901 ),
inference(forward_subsumption_resolution,[],[f34831,f18430]) ).
fof(f34886,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| spl54_889
| ~ spl54_901 ),
inference(forward_subsumption_resolution,[],[f34884,f511]) ).
fof(f34888,plain,
( ~ rpoint(sK1)
| spl54_889
| ~ spl54_901 ),
inference(forward_subsumption_resolution,[],[f34886,f518]) ).
fof(f34889,plain,
( $false
| spl54_889
| ~ spl54_901 ),
inference(forward_subsumption_resolution,[],[f34888,f522]) ).
fof(f34890,plain,
( spl54_889
| ~ spl54_901 ),
inference(avatar_contradiction_clause,[],[f34889]) ).
cnf(s40,plain,
~ spl54_21,
inference(sat_conversion,[],[f1843]) ).
cnf(s907,plain,
( spl54_21
| spl54_844
| ~ spl54_845
| ~ spl54_846 ),
inference(sat_conversion,[],[f18244]) ).
cnf(s908,plain,
( spl54_21
| ~ spl54_846
| spl54_847 ),
inference(sat_conversion,[],[f18248]) ).
cnf(s1258,plain,
( spl54_850
| spl54_1227 ),
inference(sat_conversion,[],[f23735]) ).
cnf(s1281,plain,
( spl54_1245
| spl54_1246 ),
inference(sat_conversion,[],[f26390]) ).
cnf(s1289,plain,
( spl54_1202
| ~ spl54_1227 ),
inference(sat_conversion,[],[f26826]) ).
cnf(s1292,plain,
( ~ spl54_850
| spl54_860 ),
inference(sat_conversion,[],[f26875]) ).
cnf(s1294,plain,
( ~ spl54_860
| spl54_1190 ),
inference(sat_conversion,[],[f26914]) ).
cnf(s1295,plain,
( spl54_21
| ~ spl54_1190
| ~ spl54_1246 ),
inference(sat_conversion,[],[f26992]) ).
cnf(s1313,plain,
( spl54_846
| ~ spl54_1202
| ~ spl54_1227 ),
inference(sat_conversion,[],[f27219]) ).
cnf(s1320,plain,
~ spl54_844,
inference(sat_conversion,[],[f27676]) ).
cnf(s1414,plain,
( spl54_21
| spl54_844
| spl54_845
| ~ spl54_847 ),
inference(sat_conversion,[],[f33030]) ).
cnf(s1458,plain,
( spl54_846
| ~ spl54_1245
| spl54_1258 ),
inference(sat_conversion,[],[f33249]) ).
cnf(s1527,plain,
( spl54_21
| spl54_846
| spl54_901
| ~ spl54_1190 ),
inference(sat_conversion,[],[f34716]) ).
cnf(s1534,plain,
( ~ spl54_889
| ~ spl54_1258 ),
inference(sat_conversion,[],[f34882]) ).
cnf(s1535,plain,
( spl54_889
| ~ spl54_901 ),
inference(sat_conversion,[],[f34890]) ).
cnf(s1552,plain,
( spl54_21
| ~ spl54_845
| ~ spl54_846 ),
inference(rat,[],[s907,s1320]) ).
cnf(s1698,plain,
~ spl54_846,
inference(rat,[],[s1414,s1552,s908,s1320,s40]) ).
cnf(s1712,plain,
~ spl54_1227,
inference(rat,[],[s1313,s1289,s1698]) ).
cnf(s1714,plain,
spl54_850,
inference(rat,[],[s1258,s1712]) ).
cnf(s1716,plain,
spl54_860,
inference(rat,[],[s1292,s1714]) ).
cnf(s1719,plain,
spl54_1190,
inference(rat,[],[s1294,s1716]) ).
cnf(s1723,plain,
~ spl54_1246,
inference(rat,[],[s1295,s40,s1719]) ).
cnf(s1725,plain,
spl54_901,
inference(rat,[],[s1527,s1698,s40,s1719]) ).
cnf(s1726,plain,
spl54_1245,
inference(rat,[],[s1281,s1723]) ).
cnf(s1728,plain,
spl54_889,
inference(rat,[],[s1535,s1725]) ).
cnf(s1730,plain,
spl54_1258,
inference(rat,[],[s1458,s1698,s1726]) ).
cnf(s1737,plain,
$false,
inference(rat,[],[s1534,s1730,s1728]) ).
fof(f34891,plain,
$false,
inference(avatar_sat_refutation,[],[s1737]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO322+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 08:02:55 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.47 Running first-order theorem proving
% 0.23/0.47 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
% 18.46/3.56 % (1088676)Detected formulas, will run a generic FOF schedule.
% 18.46/3.56 % (1088687)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3628949702:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.46/3.56 % (1088682)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=3614272478:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.46/3.56 % (1088685)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4013374418:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.46/3.56 % (1088684)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=1103843250:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.46/3.56 % (1088683)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=3946174465:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.46/3.56 % (1088685)Refutation not found, incomplete strategy
% 18.46/3.56 % (1088685)------------------------------
% 18.46/3.56 % (1088685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.56 % (1088685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.56 % (1088685)CaDiCaL version: 2.1.3
% 18.46/3.56 % (1088685)Termination reason: Refutation not found, incomplete strategy
% 18.46/3.56 % (1088685)Time elapsed: 0.004 s
% 18.46/3.56 % (1088685)Peak memory usage: 89 MB
% 18.46/3.56 % (1088685)Instructions burned: 2 (million)
% 18.46/3.56 % (1088687)Instruction limit reached!
% 18.46/3.56 % (1088687)------------------------------
% 18.46/3.56 % (1088687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.56 % (1088687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.56 % (1088687)CaDiCaL version: 2.1.3
% 18.46/3.56 % (1088687)Termination reason: Instruction limit
% 18.46/3.56 % (1088687)Termination phase: Saturation
% 18.46/3.56 % (1088687)Time elapsed: 0.051 s
% 18.46/3.56 % (1088687)Peak memory usage: 90 MB
% 18.46/3.56 % (1088687)Instructions burned: 140 (million)
% 18.46/3.56 % (1088686)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1246430456:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.46/3.56 % (1088688)dis-21_1_sil=8000:lcm=predicate:random_seed=3877058436: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)
% 18.46/3.56 % (1088686)Instruction limit reached!
% 18.46/3.56 % (1088686)------------------------------
% 18.46/3.56 % (1088686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.56 % (1088686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.56 % (1088686)CaDiCaL version: 2.1.3
% 18.46/3.56 % (1088686)Termination reason: Instruction limit
% 18.46/3.56 % (1088686)Termination phase: Saturation
% 18.46/3.56 % (1088686)Time elapsed: 0.099 s
% 18.46/3.56 % (1088686)Peak memory usage: 89 MB
% 18.46/3.56 % (1088686)Instructions burned: 119 (million)
% 18.46/3.56 % (1088688)Instruction limit reached!
% 18.46/3.56 % (1088688)------------------------------
% 18.46/3.56 % (1088688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.56 % (1088688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.56 % (1088688)CaDiCaL version: 2.1.3
% 18.46/3.56 % (1088688)Termination reason: Instruction limit
% 18.46/3.56 % (1088688)Termination phase: Saturation
% 18.46/3.56 % (1088688)Time elapsed: 0.115 s
% 18.46/3.56 % (1088688)Peak memory usage: 90 MB
% 18.46/3.56 % (1088688)Instructions burned: 129 (million)
% 18.46/3.56 % (1088697)lrs+10_1_sil=8000:sp=occurrence:random_seed=2206395568:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.46/3.56 % (1088697)Instruction limit reached!
% 18.46/3.56 % (1088697)------------------------------
% 18.46/3.56 % (1088697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.46/3.56 % (1088697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.46/3.56 % (1088697)CaDiCaL version: 2.1.3
% 18.46/3.56 % (1088697)Termination reason: Instruction limit
% 18.46/3.56 % (1088697)Termination phase: Saturation
% 18.46/3.56 % (1088697)Time elapsed: 0.130 s
% 18.46/3.56 % (1088697)Peak memory usage: 92 MB
% 18.46/3.56 % (1088697)Instructions burned: 286 (million)
% 31.62/5.30 % (1088685)------------------------------
% 31.62/5.30 % (1088685)------------------------------
% 31.62/5.30 % (1088700)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1785113649:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 31.62/5.30 % (1088700)Refutation not found, incomplete strategy
% 31.62/5.30 % (1088700)------------------------------
% 31.62/5.30 % (1088700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.62/5.30 % (1088700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.62/5.30 % (1088700)CaDiCaL version: 2.1.3
% 31.62/5.30 % (1088700)Termination reason: Refutation not found, incomplete strategy
% 31.62/5.30 % (1088700)Time elapsed: 0.006 s
% 31.62/5.30 % (1088700)Peak memory usage: 89 MB
% 31.62/5.30 % (1088700)Instructions burned: 5 (million)
% 31.62/5.30 % (1088701)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2901698447:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 31.62/5.30 % (1088701)Refutation not found, incomplete strategy
% 31.62/5.30 % (1088701)------------------------------
% 31.62/5.30 % (1088701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.62/5.30 % (1088701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.62/5.30 % (1088701)CaDiCaL version: 2.1.3
% 31.62/5.30 % (1088701)Termination reason: Refutation not found, incomplete strategy
% 31.62/5.30 % (1088701)Time elapsed: 0.006 s
% 31.62/5.30 % (1088701)Peak memory usage: 89 MB
% 31.62/5.30 % (1088701)Instructions burned: 4 (million)
% 31.62/5.30 % (1088703)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=283272313:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 31.62/5.30 % (1088703)Instruction limit reached!
% 31.62/5.30 % (1088703)------------------------------
% 31.62/5.30 % (1088703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.62/5.30 % (1088703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.62/5.30 % (1088703)CaDiCaL version: 2.1.3
% 31.62/5.30 % (1088703)Termination reason: Instruction limit
% 31.62/5.30 % (1088703)Termination phase: Saturation
% 31.62/5.30 % (1088703)Time elapsed: 0.110 s
% 31.62/5.30 % (1088703)Peak memory usage: 93 MB
% 31.62/5.30 % (1088703)Instructions burned: 250 (million)
% 31.62/5.30 % (1088705)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1547398533:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 31.62/5.30 % (1088705)Refutation not found, incomplete strategy
% 31.62/5.30 % (1088705)------------------------------
% 31.62/5.30 % (1088705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.62/5.30 % (1088705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.62/5.30 % (1088705)CaDiCaL version: 2.1.3
% 31.62/5.30 % (1088705)Termination reason: Refutation not found, incomplete strategy
% 31.62/5.30 % (1088705)Time elapsed: 0.021 s
% 31.62/5.30 % (1088705)Peak memory usage: 89 MB
% 31.62/5.30 % (1088705)Instructions burned: 21 (million)
% 31.62/5.30 % (1088700)------------------------------
% 31.62/5.30 % (1088700)------------------------------
% 31.62/5.30 % (1088701)------------------------------
% 31.62/5.30 % (1088701)------------------------------
% 31.62/5.30 % (1088708)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1574953280:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 31.62/5.30 % (1088710)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2989444815:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 31.62/5.30 % (1088705)------------------------------
% 31.62/5.30 % (1088705)------------------------------
% 31.62/5.30 % (1088711)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3323850037:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 31.62/5.30 % (1088710)Instruction limit reached!
% 31.62/5.30 % (1088710)------------------------------
% 31.62/5.30 % (1088710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.62/5.30 % (1088710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.62/5.30 % (1088710)CaDiCaL version: 2.1.3
% 31.62/5.30 % (1088710)Termination reason: Instruction limit
% 31.62/5.30 % (1088710)Termination phase: Saturation
% 31.62/5.30 % (1088710)Time elapsed: 0.098 s
% 31.62/5.30 % (1088710)Peak memory usage: 90 MB
% 31.62/5.30 % (1088710)Instructions burned: 114 (million)
% 31.62/5.30 % (1088711)Refutation not found, incomplete strategy
% 37.72/7.07 % (1088711)------------------------------
% 37.72/7.07 % (1088711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088711)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088711)Termination reason: Refutation not found, incomplete strategy
% 37.72/7.07 % (1088711)Time elapsed: 0.047 s
% 37.72/7.07 % (1088711)Peak memory usage: 89 MB
% 37.72/7.07 % (1088711)Instructions burned: 54 (million)
% 37.72/7.07 % (1088714)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3229386259:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 37.72/7.07 % (1088716)lrs+10_1_sil=8000:sp=occurrence:random_seed=793466191:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 37.72/7.07 % (1088714)Instruction limit reached!
% 37.72/7.07 % (1088714)------------------------------
% 37.72/7.07 % (1088714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088714)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088714)Termination reason: Instruction limit
% 37.72/7.07 % (1088714)Termination phase: Saturation
% 37.72/7.07 % (1088714)Time elapsed: 0.099 s
% 37.72/7.07 % (1088714)Peak memory usage: 89 MB
% 37.72/7.07 % (1088714)Instructions burned: 115 (million)
% 37.72/7.07 % (1088711)------------------------------
% 37.72/7.07 % (1088711)------------------------------
% 37.72/7.07 % (1088725)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3662792439:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 37.72/7.07 % (1088725)Refutation not found, incomplete strategy
% 37.72/7.07 % (1088725)------------------------------
% 37.72/7.07 % (1088725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088725)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088725)Termination reason: Refutation not found, incomplete strategy
% 37.72/7.07 % (1088725)Time elapsed: 0.022 s
% 37.72/7.07 % (1088725)Peak memory usage: 90 MB
% 37.72/7.07 % (1088725)Instructions burned: 33 (million)
% 37.72/7.07 % (1088728)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=102740808:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 37.72/7.07 % (1088725)------------------------------
% 37.72/7.07 % (1088725)------------------------------
% 37.72/7.07 % (1088708)Instruction limit reached!
% 37.72/7.07 % (1088708)------------------------------
% 37.72/7.07 % (1088708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088708)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088708)Termination reason: Instruction limit
% 37.72/7.07 % (1088708)Termination phase: Saturation
% 37.72/7.07 % (1088708)Time elapsed: 1.280 s
% 37.72/7.07 % (1088708)Peak memory usage: 142 MB
% 37.72/7.07 % (1088708)Instructions burned: 2350 (million)
% 37.72/7.07 % (1088716)Instruction limit reached!
% 37.72/7.07 % (1088716)------------------------------
% 37.72/7.07 % (1088716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088716)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088716)Termination reason: Instruction limit
% 37.72/7.07 % (1088716)Termination phase: Saturation
% 37.72/7.07 % (1088716)Time elapsed: 0.799 s
% 37.72/7.07 % (1088716)Peak memory usage: 96 MB
% 37.72/7.07 % (1088716)Instructions burned: 907 (million)
% 37.72/7.07 % (1088737)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1692989758:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 37.72/7.07 % (1088738)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1919144734:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 37.72/7.07 % (1088737)Instruction limit reached!
% 37.72/7.07 % (1088737)------------------------------
% 37.72/7.07 % (1088737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088737)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088737)Termination reason: Instruction limit
% 37.72/7.07 % (1088737)Termination phase: Saturation
% 37.72/7.07 % (1088737)Time elapsed: 0.117 s
% 37.72/7.07 % (1088737)Peak memory usage: 93 MB
% 37.72/7.07 % (1088737)Instructions burned: 134 (million)
% 37.72/7.07 % (1088740)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2692639758:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 37.72/7.07 % (1088742)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=2074151461:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 37.72/7.07 % (1088738)Instruction limit reached!
% 37.72/7.07 % (1088738)------------------------------
% 37.72/7.07 % (1088738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088738)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088738)Termination reason: Instruction limit
% 37.72/7.07 % (1088738)Termination phase: Saturation
% 37.72/7.07 % (1088738)Time elapsed: 0.303 s
% 37.72/7.07 % (1088738)Peak memory usage: 96 MB
% 37.72/7.07 % (1088738)Instructions burned: 593 (million)
% 37.72/7.07 % (1088742)Instruction limit reached!
% 37.72/7.07 % (1088742)------------------------------
% 37.72/7.07 % (1088742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088742)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088742)Termination reason: Instruction limit
% 37.72/7.07 % (1088742)Termination phase: Saturation
% 37.72/7.07 % (1088742)Time elapsed: 0.111 s
% 37.72/7.07 % (1088742)Peak memory usage: 90 MB
% 37.72/7.07 % (1088742)Instructions burned: 126 (million)
% 37.72/7.07 % (1088746)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1946795629:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 37.72/7.07 % (1088747)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3869558230:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 37.72/7.07 % (1088747)Refutation not found, incomplete strategy
% 37.72/7.07 % (1088747)------------------------------
% 37.72/7.07 % (1088747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088747)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088747)Termination reason: Refutation not found, incomplete strategy
% 37.72/7.07 % (1088747)Time elapsed: 0.004 s
% 37.72/7.07 % (1088747)Peak memory usage: 88 MB
% 37.72/7.07 % (1088747)Instructions burned: 1 (million)
% 37.72/7.07 % (1088746)Instruction limit reached!
% 37.72/7.07 % (1088746)------------------------------
% 37.72/7.07 % (1088746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088746)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088746)Termination reason: Instruction limit
% 37.72/7.07 % (1088746)Termination phase: Saturation
% 37.72/7.07 % (1088746)Time elapsed: 0.139 s
% 37.72/7.07 % (1088746)Peak memory usage: 91 MB
% 37.72/7.07 % (1088746)Instructions burned: 134 (million)
% 37.72/7.07 % (1088747)------------------------------
% 37.72/7.07 % (1088747)------------------------------
% 37.72/7.07 % (1088750)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1973453874:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 37.72/7.07 % (1088750)Refutation not found, incomplete strategy
% 37.72/7.07 % (1088750)------------------------------
% 37.72/7.07 % (1088750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088750)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088750)Termination reason: Refutation not found, incomplete strategy
% 37.72/7.07 % (1088750)Time elapsed: 0.010 s
% 37.72/7.07 % (1088750)Peak memory usage: 89 MB
% 37.72/7.07 % (1088750)Instructions burned: 9 (million)
% 37.72/7.07 % (1088752)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=2390194070:i=6060:aac=none:ins=25_2962 on theBenchmark for (2962ds/6060Mi)
% 37.72/7.07 % (1088750)------------------------------
% 37.72/7.07 % (1088750)------------------------------
% 37.72/7.07 % (1088754)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=2132226441:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2958 on theBenchmark for (2958ds/150Mi)
% 37.72/7.07 % (1088728)Instruction limit reached!
% 37.72/7.07 % (1088728)------------------------------
% 37.72/7.07 % (1088728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088728)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088728)Termination reason: Instruction limit
% 37.72/7.07 % (1088728)Termination phase: Saturation
% 37.72/7.07 % (1088728)Time elapsed: 2.366 s
% 37.72/7.07 % (1088728)Peak memory usage: 132 MB
% 37.72/7.07 % (1088728)Instructions burned: 5203 (million)
% 37.72/7.07 % (1088754)Instruction limit reached!
% 37.72/7.07 % (1088754)------------------------------
% 37.72/7.07 % (1088754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088754)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088754)Termination reason: Instruction limit
% 37.72/7.07 % (1088754)Termination phase: Saturation
% 37.72/7.07 % (1088754)Time elapsed: 0.138 s
% 37.72/7.07 % (1088754)Peak memory usage: 92 MB
% 37.72/7.07 % (1088754)Instructions burned: 150 (million)
% 37.72/7.07 % (1088756)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1515863314:i=14155:bd=all_2954 on theBenchmark for (2954ds/14155Mi)
% 37.72/7.07 % (1088757)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2290862011:i=667:av=off:fsr=off_2954 on theBenchmark for (2954ds/667Mi)
% 37.72/7.07 % (1088757)Refutation not found, incomplete strategy
% 37.72/7.07 % (1088757)------------------------------
% 37.72/7.07 % (1088757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088757)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088757)Termination reason: Refutation not found, incomplete strategy
% 37.72/7.07 % (1088757)Time elapsed: 0.040 s
% 37.72/7.07 % (1088757)Peak memory usage: 89 MB
% 37.72/7.07 % (1088757)Instructions burned: 46 (million)
% 37.72/7.07 % (1088757)------------------------------
% 37.72/7.07 % (1088757)------------------------------
% 37.72/7.07 % (1088760)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=953412862:s2a=on:i=185:s2at=1.8:fdi=4_2947 on theBenchmark for (2947ds/185Mi)
% 37.72/7.07 % (1088682)First to succeed.
% 37.72/7.07 % (1088682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1088676"
% 37.72/7.07 % (1088760)Instruction limit reached!
% 37.72/7.07 % (1088760)------------------------------
% 37.72/7.07 % (1088760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.72/7.07 % (1088760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.72/7.07 % (1088760)CaDiCaL version: 2.1.3
% 37.72/7.07 % (1088760)Termination reason: Instruction limit
% 37.72/7.07 % (1088760)Termination phase: Saturation
% 37.72/7.07 % (1088760)Time elapsed: 0.171 s
% 37.72/7.07 % (1088760)Peak memory usage: 93 MB
% 37.72/7.07 % (1088760)Instructions burned: 185 (million)
% 37.72/7.07 % (1088762)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1237550609:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2942 on theBenchmark for (2942ds/193Mi)
% 37.72/7.07 % (1088682)Refutation found. Thanks to Tanya!
% 37.72/7.07 % SZS status Theorem for theBenchmark
% 37.72/7.07 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/7.30 % (1088682)------------------------------
% 0.24/7.30 % (1088682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/7.30 % (1088682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/7.30 % (1088682)CaDiCaL version: 2.1.3
% 0.24/7.30 % (1088682)Termination reason: Refutation
% 0.24/7.30 % (1088682)Time elapsed: 5.498 s
% 0.24/7.30 % (1088682)Peak memory usage: 163 MB
% 0.24/7.30 % (1088682)Instructions burned: 5845 (million)
% 0.24/7.30 % (1088682)------------------------------
% 0.24/7.30 % (1088682)------------------------------
% 0.24/7.30 % (1088676)Success in time 6.184 s
% 0.24/7.30 % Vampire exiting
%------------------------------------------------------------------------------