%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO310+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:52:24 AM UTC 2026
% Result : Theorem 67.68s 10.48s
% Output : Refutation 68.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 73
% Syntax : Number of formulae : 820 ( 147 unt; 32 def)
% Number of atoms : 4713 (1501 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 6643 (2750 ~;3672 |; 171 &)
% ( 36 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 31 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 1374 ( 0 sgn1325 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1287,vd1299,vd1289) = vangle(vd1287,vd1306,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(359)), 1319, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1287,vd1299,vd1289) != vangle(vd1287,vd1306,vd1288),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vf(vd1299,vd1289) = vf(vd1306,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(359), 1318, 0)') ).
fof(f4,axiom,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(358, 1317, 0)') ).
fof(f5,axiom,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(357, 1316, 0)') ).
fof(f6,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(356)))') ).
fof(f7,axiom,
~ rR(vd1287,vd1288,vd1299),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(356))') ).
fof(f8,axiom,
rR(vd1306,vd1287,vd1302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(352), 1307, 0)') ).
fof(f9,axiom,
rpoint(vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(352, 0)') ).
fof(f10,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/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,
( 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/sandbox/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(f12,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f13,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f14,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f16,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f17,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f22,axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(353)), 1309, 0)') ).
fof(f24,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(355)), 1313, 0)') ).
fof(f25,axiom,
vd1299 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(353))), 1311, 0)') ).
fof(f28,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f29,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(355), 1312, 0)') ).
fof(f30,axiom,
vd1306 != vd1302,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)') ).
fof(f34,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f37,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f44,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f45,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f46,axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)') ).
fof(f47,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(354))), 0)') ).
fof(f48,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(354)), 0)') ).
fof(f49,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(354), 0)') ).
fof(f54,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f59,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f62,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f63,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f68,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f71,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f75,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f81,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f82,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f96,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f106,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f141,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f151,plain,
vangle(vd1287,vd1299,vd1289) != vangle(vd1287,vd1306,vd1288),
inference(flattening,[],[f2]) ).
fof(f156,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,[],[f12]) ).
fof(f157,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,[],[f156]) ).
fof(f158,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,[],[f13]) ).
fof(f159,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,[],[f158]) ).
fof(f160,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,[],[f14]) ).
fof(f161,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,[],[f160]) ).
fof(f188,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,[],[f54]) ).
fof(f189,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,[],[f188]) ).
fof(f198,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,[],[f59]) ).
fof(f199,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,[],[f198]) ).
fof(f204,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f205,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f207,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f206]) ).
fof(f216,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,[],[f68]) ).
fof(f217,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,[],[f216]) ).
fof(f222,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f223,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f222]) ).
fof(f238,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f239,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,[],[f82]) ).
fof(f240,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,[],[f239]) ).
fof(f266,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,[],[f96]) ).
fof(f267,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,[],[f266]) ).
fof(f286,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,[],[f106]) ).
fof(f287,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,[],[f286]) ).
fof(f352,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,[],[f141]) ).
fof(f353,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,[],[f352]) ).
fof(f368,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)],[f11]) ).
fof(f377,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,[],[f189]) ).
fof(f378,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))],[f377]) ).
fof(f381,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,[],[f199]) ).
fof(f382,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,[],[f381]) ).
fof(f385,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f207]) ).
fof(f391,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,[],[f240]) ).
fof(f392,plain,
! [X0,X1] :
( ( ron(X1,sK13(X0,X1))
& rcenter(X0,sK13(X0,X1))
& rcircle(sK13(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f391]) ).
fof(f444,plain,
vangle(vd1287,vd1299,vd1289) != vangle(vd1287,vd1306,vd1288),
inference(cnf_transformation,[],[f151]) ).
fof(f445,plain,
vf(vd1299,vd1289) = vf(vd1306,vd1288),
inference(cnf_transformation,[],[f3]) ).
fof(f446,plain,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
inference(cnf_transformation,[],[f4]) ).
fof(f447,plain,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
inference(cnf_transformation,[],[f5]) ).
fof(f448,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[],[f6]) ).
fof(f449,plain,
~ rR(vd1287,vd1288,vd1299),
inference(cnf_transformation,[],[f7]) ).
fof(f450,plain,
rR(vd1306,vd1287,vd1302),
inference(cnf_transformation,[],[f8]) ).
fof(f451,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f9]) ).
fof(f452,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f10]) ).
fof(f453,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f10]) ).
fof(f454,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f10]) ).
fof(f455,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f10]) ).
fof(f456,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f368]) ).
fof(f457,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f368]) ).
fof(f458,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f368]) ).
fof(f459,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f368]) ).
fof(f460,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f368]) ).
fof(f461,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f368]) ).
fof(f464,plain,
vd1289 != vd1288,
inference(cnf_transformation,[],[f368]) ).
fof(f465,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f368]) ).
fof(f466,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,[],[f157]) ).
fof(f467,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,[],[f159]) ).
fof(f468,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,[],[f161]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f161]) ).
fof(f470,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,[],[f161]) ).
fof(f471,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f161]) ).
fof(f473,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f16]) ).
fof(f474,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f17]) ).
fof(f488,plain,
vd1287 != vd1306,
inference(cnf_transformation,[],[f22]) ).
fof(f490,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f24]) ).
fof(f491,plain,
vd1287 != vd1299,
inference(cnf_transformation,[],[f25]) ).
fof(f494,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f28]) ).
fof(f495,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f29]) ).
fof(f496,plain,
vd1306 != vd1302,
inference(cnf_transformation,[],[f30]) ).
fof(f500,plain,
rline(vd1297),
inference(cnf_transformation,[],[f34]) ).
fof(f503,plain,
rline(vd1295),
inference(cnf_transformation,[],[f37]) ).
fof(f511,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f44]) ).
fof(f512,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f45]) ).
fof(f513,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f46]) ).
fof(f514,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f47]) ).
fof(f515,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f48]) ).
fof(f516,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f49]) ).
fof(f522,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f378]) ).
fof(f523,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f378]) ).
fof(f524,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f378]) ).
fof(f531,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,[],[f382]) ).
fof(f532,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,[],[f382]) ).
fof(f533,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,[],[f382]) ).
fof(f538,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f205]) ).
fof(f539,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f385]) ).
fof(f540,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f385]) ).
fof(f545,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,[],[f217]) ).
fof(f548,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f223]) ).
fof(f552,plain,
v0 = vd684,
inference(cnf_transformation,[],[f75]) ).
fof(f576,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
fof(f577,plain,
! [X3,X0,X1,X4] :
( rcircle(sK13(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f392]) ).
fof(f578,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK13(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f392]) ).
fof(f579,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK13(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f392]) ).
fof(f607,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,[],[f267]) ).
fof(f617,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,[],[f287]) ).
fof(f726,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,[],[f353]) ).
fof(f737,plain,
vangle(sK3,vd1300,sK1) != vangle(sK3,vd1306,sK2),
inference(definition_unfolding,[],[f444,f457,f473,f461,f457,f459]) ).
fof(f738,plain,
vf(vd1300,sK1) = vf(vd1306,sK2),
inference(definition_unfolding,[],[f445,f473,f461,f459]) ).
fof(f739,plain,
vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1),
inference(definition_unfolding,[],[f446,f459,f457,f461,f473,f457,f461]) ).
fof(f740,plain,
vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1306),
inference(definition_unfolding,[],[f447,f459,f457,f461,f459,f457]) ).
fof(f741,plain,
~ rR(sK3,sK1,vd1306),
inference(definition_unfolding,[],[f448,f457,f461]) ).
fof(f742,plain,
~ rR(sK3,sK2,vd1300),
inference(definition_unfolding,[],[f449,f457,f459,f473]) ).
fof(f743,plain,
rR(vd1306,sK3,vd1303),
inference(definition_unfolding,[],[f450,f457,f455]) ).
fof(f744,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f454,f461,f457,f455]) ).
fof(f745,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f452,f459,f457,f473]) ).
fof(f746,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f465,f457,f459,f457,f461]) ).
fof(f747,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f464,f461,f459]) ).
fof(f752,plain,
vd1306 != sK3,
inference(definition_unfolding,[],[f488,f457]) ).
fof(f754,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f490,f457,f461]) ).
fof(f755,plain,
vd1300 != sK3,
inference(definition_unfolding,[],[f491,f457,f473]) ).
fof(f757,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f494,f455]) ).
fof(f758,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f495,f457,f459]) ).
fof(f759,plain,
vd1306 != vd1303,
inference(definition_unfolding,[],[f496,f455]) ).
fof(f765,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f511,f461]) ).
fof(f766,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f512,f459]) ).
fof(f767,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f514,f457]) ).
fof(f768,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f515,f473]) ).
fof(f769,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f516,f457]) ).
fof(f770,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,[],[f533,f552]) ).
fof(f771,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,[],[f532,f552]) ).
fof(f772,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,[],[f531,f552]) ).
fof(f773,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f540,f552]) ).
fof(f774,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f539,f552]) ).
fof(f779,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,[],[f466]) ).
fof(f780,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,[],[f779]) ).
fof(f781,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,[],[f780]) ).
fof(f782,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,[],[f781]) ).
fof(f783,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,[],[f782]) ).
fof(f784,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,[],[f783]) ).
fof(f785,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,[],[f784]) ).
fof(f786,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,[],[f467]) ).
fof(f787,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,[],[f786]) ).
fof(f788,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,[],[f787]) ).
fof(f789,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,[],[f788]) ).
fof(f790,plain,
! [X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f471]) ).
fof(f791,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f790]) ).
fof(f792,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f791]) ).
fof(f793,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,[],[f470]) ).
fof(f794,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f793]) ).
fof(f795,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f794]) ).
fof(f796,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f795]) ).
fof(f797,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f469]) ).
fof(f798,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f797]) ).
fof(f799,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f798]) ).
fof(f800,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f799]) ).
fof(f801,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,[],[f468]) ).
fof(f802,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f801]) ).
fof(f803,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f802]) ).
fof(f917,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f524]) ).
fof(f918,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f917]) ).
fof(f919,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f523]) ).
fof(f920,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f919]) ).
fof(f921,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f522]) ).
fof(f922,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f921]) ).
fof(f947,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,[],[f770]) ).
fof(f948,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,[],[f947]) ).
fof(f949,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,[],[f948]) ).
fof(f950,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,[],[f949]) ).
fof(f951,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,[],[f771]) ).
fof(f952,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,[],[f951]) ).
fof(f953,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,[],[f952]) ).
fof(f954,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,[],[f953]) ).
fof(f955,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,[],[f772]) ).
fof(f956,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,[],[f955]) ).
fof(f957,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,[],[f956]) ).
fof(f958,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,[],[f957]) ).
fof(f967,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X0,X1,X3) = vangle(X3,X1,X0)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f538]) ).
fof(f968,plain,
! [X3,X0,X4,X5] :
( vangle(X0,X4,X3) = vangle(X3,X4,X0)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f967]) ).
fof(f969,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f968]) ).
fof(f970,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f773]) ).
fof(f971,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f970]) ).
fof(f972,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f971]) ).
fof(f973,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f774]) ).
fof(f974,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f973]) ).
fof(f987,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,[],[f545]) ).
fof(f988,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,[],[f987]) ).
fof(f989,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,[],[f988]) ).
fof(f990,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,[],[f989]) ).
fof(f997,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f548]) ).
fof(f998,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f997]) ).
fof(f1062,plain,
! [X3,X0,X4] :
( ron(X3,sK13(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f579]) ).
fof(f1063,plain,
! [X3,X4] :
( ron(X3,sK13(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1062]) ).
fof(f1064,plain,
! [X3,X0,X4] :
( rcenter(X0,sK13(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f578]) ).
fof(f1065,plain,
! [X3,X4] :
( rcenter(X4,sK13(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1064]) ).
fof(f1066,plain,
! [X3,X0,X4] :
( rcircle(sK13(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f577]) ).
fof(f1067,plain,
! [X3,X4] :
( rcircle(sK13(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1066]) ).
fof(f1154,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,[],[f607]) ).
fof(f1155,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,[],[f1154]) ).
fof(f1156,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,[],[f1155]) ).
fof(f1157,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,[],[f1156]) ).
fof(f1158,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,[],[f1157]) ).
fof(f1203,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,[],[f617]) ).
fof(f1204,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,[],[f1203]) ).
fof(f1205,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,[],[f1204]) ).
fof(f1206,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,[],[f1205]) ).
fof(f1503,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,[],[f726]) ).
fof(f1504,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,[],[f1503]) ).
fof(f1549,definition,
sF52 = vangle(sK3,vd1300,sK1),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1550,plain,
vangle(sK3,vd1300,sK1) = sF52,
inference(reorient_equations,[],[f1549]) ).
fof(f1551,definition,
sF53 = vangle(sK3,vd1306,sK2),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1552,plain,
vangle(sK3,vd1306,sK2) = sF53,
inference(reorient_equations,[],[f1551]) ).
fof(f1553,plain,
sF52 != sF53,
inference(definition_folding,[],[f737,f1552,f1550]) ).
fof(f1554,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f972]) ).
fof(f1555,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f800]) ).
fof(f1556,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f796]) ).
fof(f1604,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f803,f745]) ).
fof(f1605,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f803,f744]) ).
fof(f1606,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1605,f453]) ).
fof(f1607,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1604,f474]) ).
fof(f1608,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1606,f460]) ).
fof(f1609,plain,
( rR(sK2,vd1300,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1607,f458]) ).
fof(f1610,plain,
rR(sK1,vd1303,sK3),
inference(forward_subsumption_resolution,[],[f1608,f456]) ).
fof(f1611,plain,
rR(sK2,vd1300,sK3),
inference(forward_subsumption_resolution,[],[f1609,f456]) ).
fof(f1612,plain,
( rR(vd1306,vd1303,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(vd1306)
| ~ rpoint(sK3) ),
inference(resolution,[],[f743,f803]) ).
fof(f1613,plain,
( rR(vd1306,vd1303,sK3)
| ~ rpoint(vd1306)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1612,f453]) ).
fof(f1614,plain,
( rR(vd1306,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1613,f451]) ).
fof(f1615,plain,
rR(vd1306,vd1303,sK3),
inference(forward_subsumption_resolution,[],[f1614,f456]) ).
fof(f1616,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK3,X0,X1)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rline(vd1295)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f769,f785]) ).
fof(f1621,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,[],[f767,f785]) ).
fof(f1622,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK1,X0,X1)
| rR(sK1,X2,X3)
| sK1 = X1
| sK1 = X3
| sK1 = X0
| sK1 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK1,X1) = vangle(X2,sK1,X0)
| ~ rline(X4)
| ~ rline(vd1297)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK1) ),
inference(resolution,[],[f765,f785]) ).
fof(f1627,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK2 = X1
| ~ rpoint(X0)
| sK2 = X0
| vangle(X0,X1,sK2) = vangle(sK2,X1,X0) ),
inference(resolution,[],[f969,f458]) ).
fof(f1628,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK3 = X1
| ~ rpoint(X0)
| sK3 = X0
| vangle(X0,X1,sK3) = vangle(sK3,X1,X0) ),
inference(resolution,[],[f969,f456]) ).
fof(f1638,plain,
! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK3 = X0
| X0 = X1
| ~ rline(vd1297)
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f958,f767]) ).
fof(f1648,plain,
vd684 = vf(sK1,sK1),
inference(resolution,[],[f1554,f460]) ).
fof(f1654,plain,
( ~ rR(sK3,sK1,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(resolution,[],[f792,f744]) ).
fof(f1663,plain,
( ~ rR(sK3,sK1,vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1654,f453]) ).
fof(f1668,plain,
( ~ rR(sK3,sK1,vd1303)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1663,f456]) ).
fof(f1673,plain,
~ rR(sK3,sK1,vd1303),
inference(forward_subsumption_resolution,[],[f1668,f460]) ).
fof(f1688,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f990,f1611]) ).
fof(f1689,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f990,f1610]) ).
fof(f1690,plain,
! [X0] :
( ~ rR(X0,vd1303,vd1306)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f990,f1615]) ).
fof(f1691,plain,
! [X0] :
( ~ rR(X0,vd1303,vd1306)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(vd1306)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1690,f456]) ).
fof(f1692,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1689,f456]) ).
fof(f1693,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1688,f456]) ).
fof(f1697,plain,
! [X0] :
( ~ rR(X0,vd1303,vd1306)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1691,f451]) ).
fof(f1698,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1692,f460]) ).
fof(f1699,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1693,f458]) ).
fof(f1703,plain,
! [X0] :
( ~ rR(X0,vd1303,vd1306)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1697,f453]) ).
fof(f1704,plain,
! [X0] :
( ~ rR(X0,vd1303,sK1)
| rR(X0,vd1303,sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1698,f453]) ).
fof(f1705,plain,
! [X0] :
( ~ rR(X0,vd1300,sK2)
| rR(X0,vd1300,sK3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1699,f474]) ).
fof(f1713,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f789,f1610]) ).
fof(f1716,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1713,f456]) ).
fof(f1722,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f1716,f460]) ).
fof(f1728,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| rR(sK1,vd1303,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1722,f453]) ).
fof(f1733,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1306,X0) = vf(X0,vd1306) ),
inference(resolution,[],[f998,f451]) ).
fof(f1735,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1300,X0) = vf(X0,vd1300) ),
inference(resolution,[],[f998,f474]) ).
fof(f1743,definition,
( spl54_13
<=> vd1306 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f1744,plain,
( vd1306 != sK2
| spl54_13 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1745,plain,
( vd1306 = sK2
| ~ spl54_13 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1747,definition,
( spl54_14
<=> vd684 = vf(vd1300,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f1748,plain,
( vd684 = vf(vd1300,sK1)
| ~ spl54_14 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1749,plain,
( vd684 != vf(vd1300,sK1)
| spl54_14 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1753,plain,
! [X0] :
( vd684 != vangle(sK2,sK3,sK1)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) ),
inference(superposition,[],[f954,f739]) ).
fof(f1759,plain,
vf(vd1306,sK2) = vf(sK2,vd1306),
inference(resolution,[],[f1733,f458]) ).
fof(f1762,plain,
vf(vd1300,sK1) = vf(sK2,vd1306),
inference(forward_demodulation,[],[f1759,f738]) ).
fof(f1767,definition,
( spl54_15
<=> vd1300 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).
fof(f1768,plain,
( vd1300 != sK1
| spl54_15 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f1769,plain,
( vd1300 = sK1
| ~ spl54_15 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f1771,definition,
( spl54_16
<=> vd684 = vf(sK2,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_16])],[avatar_definition]) ).
fof(f1772,plain,
( vd684 = vf(sK2,vd1306)
| ~ spl54_16 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1773,plain,
( vd684 != vf(sK2,vd1306)
| spl54_16 ),
inference(avatar_component_clause,[],[f1771]) ).
fof(f1776,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,[],[f918,f958]) ).
fof(f1779,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,[],[f1776]) ).
fof(f1782,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,[],[f1779,f922]) ).
fof(f1784,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,[],[f1782,f918]) ).
fof(f1785,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,[],[f1784]) ).
fof(f1786,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,[],[f1785,f1556]) ).
fof(f1789,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,[],[f920,f1786]) ).
fof(f1793,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f920,f785]) ).
fof(f1794,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1793]) ).
fof(f1798,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1789]) ).
fof(f1799,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f1794,f922]) ).
fof(f1804,plain,
! [X0] :
( ~ rpoint(X0)
| vd1300 = X0
| vd684 = vangle(X0,vd1300,X0) ),
inference(resolution,[],[f1798,f474]) ).
fof(f1805,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vd684 = vangle(X0,sK1,X0) ),
inference(resolution,[],[f1798,f460]) ).
fof(f1807,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(X0,sK3,X0) ),
inference(resolution,[],[f1798,f456]) ).
fof(f1821,plain,
( sK1 = sK3
| vd684 = vangle(sK3,sK1,sK3) ),
inference(resolution,[],[f1805,f456]) ).
fof(f1822,plain,
vd684 = vangle(sK3,sK1,sK3),
inference(forward_subsumption_resolution,[],[f1821,f754]) ).
fof(f1891,plain,
( sK1 = sK3
| vd684 = vangle(sK1,sK3,sK1) ),
inference(resolution,[],[f1807,f460]) ).
fof(f1892,plain,
( sK2 = sK3
| vd684 = vangle(sK2,sK3,sK2) ),
inference(resolution,[],[f1807,f458]) ).
fof(f1894,plain,
vd684 = vangle(sK2,sK3,sK2),
inference(forward_subsumption_resolution,[],[f1892,f758]) ).
fof(f1895,plain,
vd684 = vangle(sK1,sK3,sK1),
inference(forward_subsumption_resolution,[],[f1891,f754]) ).
fof(f1902,definition,
( spl54_23
<=> vd1303 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_23])],[avatar_definition]) ).
fof(f1903,plain,
( vd1303 != sK3
| spl54_23 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1904,plain,
( vd1303 = sK3
| ~ spl54_23 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1977,definition,
( spl54_27
<=> vd1303 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_27])],[avatar_definition]) ).
fof(f1979,plain,
( vd1303 = sK2
| ~ spl54_27 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f2003,plain,
! [X0] :
( vd1306 = sK3
| ~ rpoint(X0)
| sK3 = X0
| vangle(X0,vd1306,sK3) = vangle(sK3,vd1306,X0) ),
inference(resolution,[],[f1628,f451]) ).
fof(f2016,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vangle(X0,vd1306,sK3) = vangle(sK3,vd1306,X0) ),
inference(forward_subsumption_resolution,[],[f2003,f752]) ).
fof(f2023,plain,
( rR(sK1,sK3,sK3)
| ~ spl54_23 ),
inference(superposition,[],[f1610,f1904]) ).
fof(f2035,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_23 ),
inference(resolution,[],[f2023,f1556]) ).
fof(f2040,plain,
( ~ rpoint(sK1)
| ~ spl54_23 ),
inference(forward_subsumption_resolution,[],[f2035,f456]) ).
fof(f2043,plain,
( $false
| ~ spl54_23 ),
inference(forward_subsumption_resolution,[],[f2040,f460]) ).
fof(f2044,plain,
~ spl54_23,
inference(avatar_contradiction_clause,[],[f2043]) ).
fof(f2097,plain,
( vd684 != vd684
| vd1306 = sK2
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ spl54_16 ),
inference(superposition,[],[f974,f1772]) ).
fof(f2098,plain,
( vd1306 = sK2
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ spl54_16 ),
inference(trivial_inequality_removal,[],[f2097]) ).
fof(f2099,plain,
( ~ rpoint(vd1306)
| ~ rpoint(sK2)
| spl54_13
| ~ spl54_16 ),
inference(forward_subsumption_resolution,[],[f2098,f1744]) ).
fof(f2100,plain,
( ~ rpoint(sK2)
| spl54_13
| ~ spl54_16 ),
inference(forward_subsumption_resolution,[],[f2099,f451]) ).
fof(f2101,plain,
( $false
| spl54_13
| ~ spl54_16 ),
inference(forward_subsumption_resolution,[],[f2100,f458]) ).
fof(f2102,plain,
( spl54_13
| ~ spl54_16 ),
inference(avatar_contradiction_clause,[],[f2101]) ).
fof(f2129,plain,
! [X0] :
( sK2 = sK3
| ~ rpoint(X0)
| sK2 = X0
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,X0) ),
inference(resolution,[],[f1627,f456]) ).
fof(f2130,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f2129,f758]) ).
fof(f2197,plain,
( vd1303 = sK2
| vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,vd1303) ),
inference(resolution,[],[f2130,f453]) ).
fof(f2199,plain,
( sK1 = sK2
| vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2) ),
inference(resolution,[],[f2130,f460]) ).
fof(f2203,plain,
vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2),
inference(forward_subsumption_resolution,[],[f2199,f747]) ).
fof(f2275,plain,
vf(vd1300,sK1) = vf(sK1,vd1300),
inference(resolution,[],[f1735,f460]) ).
fof(f2279,plain,
vf(sK2,vd1306) = vf(sK1,vd1300),
inference(forward_demodulation,[],[f2275,f1762]) ).
fof(f2284,plain,
! [X0] :
( vd684 != vangle(sK1,sK3,sK2)
| ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f954,f2203]) ).
fof(f2312,plain,
( vd1300 = sK3
| vd684 = vangle(sK3,vd1300,sK3) ),
inference(resolution,[],[f1804,f456]) ).
fof(f2313,plain,
vd684 = vangle(sK3,vd1300,sK3),
inference(forward_subsumption_resolution,[],[f2312,f755]) ).
fof(f2352,plain,
! [X0] :
( ~ rR(sK1,sK3,X0)
| ~ rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1206,f744]) ).
fof(f2359,plain,
! [X0] :
( ~ rR(sK1,sK3,X0)
| ~ rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2352,f453]) ).
fof(f2368,plain,
! [X0] :
( ~ rR(sK1,sK3,X0)
| ~ rR(sK1,vd1303,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2359,f460]) ).
fof(f2377,plain,
! [X0] :
( ~ rR(sK1,sK3,X0)
| ~ rR(sK1,vd1303,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2368,f456]) ).
fof(f2393,plain,
( vd684 != vf(sK2,vd1306)
| spl54_14 ),
inference(superposition,[],[f1749,f1762]) ).
fof(f2678,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,[],[f1504,f746]) ).
fof(f2685,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,[],[f2678,f458]) ).
fof(f3277,plain,
( sK2 = sK3
| vangle(sK3,vd1306,sK2) = vangle(sK2,vd1306,sK3) ),
inference(resolution,[],[f2016,f458]) ).
fof(f3279,plain,
vangle(sK3,vd1306,sK2) = vangle(sK2,vd1306,sK3),
inference(forward_subsumption_resolution,[],[f3277,f758]) ).
fof(f3284,plain,
sF53 = vangle(sK2,vd1306,sK3),
inference(forward_demodulation,[],[f3279,f1552]) ).
fof(f4053,plain,
( vd684 != vf(sK1,vd1300)
| spl54_14 ),
inference(forward_demodulation,[],[f2393,f2279]) ).
fof(f4078,plain,
( vd684 != vf(sK1,sK1)
| spl54_14
| ~ spl54_15 ),
inference(forward_demodulation,[],[f4053,f1769]) ).
fof(f4092,plain,
( $false
| spl54_14
| ~ spl54_15 ),
inference(forward_subsumption_resolution,[],[f4078,f1648]) ).
fof(f4093,plain,
( spl54_14
| ~ spl54_15 ),
inference(avatar_contradiction_clause,[],[f4092]) ).
fof(f4096,plain,
( vd684 = vf(sK2,vd1306)
| ~ spl54_14 ),
inference(forward_demodulation,[],[f1748,f1762]) ).
fof(f4098,plain,
( vd684 = vf(sK1,vd1300)
| ~ spl54_14 ),
inference(forward_demodulation,[],[f4096,f2279]) ).
fof(f4103,plain,
( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,sK2)
| ~ spl54_13 ),
inference(superposition,[],[f740,f1745]) ).
fof(f4104,plain,
( ~ rR(sK3,sK1,sK2)
| ~ spl54_13 ),
inference(superposition,[],[f741,f1745]) ).
fof(f4139,plain,
( vd684 = vangle(sK2,sK3,sK1)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f4103,f1894]) ).
fof(f4142,plain,
( vd684 = vangle(sK1,sK3,sK2)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f4139,f2203]) ).
fof(f4971,plain,
! [X0,X1] :
( rinside(X0,sK13(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f576,f1065]) ).
fof(f4972,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK13(X0,X1))
| ~ ron(X3,sK13(X0,X1))
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rcircle(sK13(X0,X1))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f4971,f1158]) ).
fof(f4973,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK13(X0,X1))
| ~ ron(X3,sK13(X0,X1))
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rcircle(sK13(X0,X1))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f4972]) ).
fof(f4974,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK13(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK13(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,[],[f4973,f1067]) ).
fof(f7088,plain,
! [X0,X1] :
( X0 = X1
| ~ ron(sK1,X1)
| ~ ron(sK2,X0)
| ~ rcenter(sK3,X1)
| ~ rcenter(sK3,X0)
| ~ rpoint(sK1) ),
inference(equality_resolution,[],[f2685]) ).
fof(f7096,plain,
! [X0,X1] :
( ~ rcenter(sK3,X1)
| ~ ron(sK1,X1)
| ~ ron(sK2,X0)
| X0 = X1
| ~ rcenter(sK3,X0) ),
inference(forward_subsumption_resolution,[],[f7088,f460]) ).
fof(f7111,plain,
! [X0,X1] :
( ~ ron(sK1,sK13(sK3,X0))
| ~ ron(sK2,X1)
| sK13(sK3,X0) = X1
| ~ rcenter(sK3,X1)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f7096,f1065]) ).
fof(f7112,plain,
! [X0,X1] :
( ~ ron(sK1,sK13(sK3,X0))
| ~ ron(sK2,X1)
| sK13(sK3,X0) = X1
| ~ rcenter(sK3,X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f7111,f456]) ).
fof(f7119,plain,
! [X0] :
( ~ ron(sK2,X0)
| sK13(sK3,sK1) = X0
| ~ rcenter(sK3,X0)
| sK1 = sK3
| ~ rpoint(sK1)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f7112,f1063]) ).
fof(f7120,plain,
! [X0] :
( ~ ron(sK2,X0)
| sK13(sK3,sK1) = X0
| ~ rcenter(sK3,X0)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f7119]) ).
fof(f7121,plain,
! [X0] :
( ~ ron(sK2,X0)
| sK13(sK3,sK1) = X0
| ~ rcenter(sK3,X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7120,f754]) ).
fof(f7122,plain,
! [X0] :
( ~ ron(sK2,X0)
| sK13(sK3,sK1) = X0
| ~ rcenter(sK3,X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7121,f460]) ).
fof(f7123,plain,
! [X0] :
( ~ rcenter(sK3,X0)
| sK13(sK3,sK1) = X0
| ~ ron(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f7122,f456]) ).
fof(f7124,plain,
! [X0] :
( sK13(sK3,X0) = sK13(sK3,sK1)
| ~ ron(sK2,sK13(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f7123,f1065]) ).
fof(f7125,plain,
! [X0] :
( ~ ron(sK2,sK13(sK3,X0))
| sK13(sK3,X0) = sK13(sK3,sK1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f7124,f456]) ).
fof(f7126,plain,
( sK13(sK3,sK1) = sK13(sK3,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f7125,f1063]) ).
fof(f7127,plain,
( sK13(sK3,sK1) = sK13(sK3,sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f7126]) ).
fof(f7128,plain,
( sK13(sK3,sK1) = sK13(sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7127,f758]) ).
fof(f7129,plain,
( sK13(sK3,sK1) = sK13(sK3,sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7128,f458]) ).
fof(f7130,plain,
sK13(sK3,sK1) = sK13(sK3,sK2),
inference(forward_subsumption_resolution,[],[f7129,f456]) ).
fof(f7135,plain,
( ron(sK2,sK13(sK3,sK1))
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1063,f7130]) ).
fof(f7136,plain,
( ron(sK2,sK13(sK3,sK1))
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7135,f758]) ).
fof(f7140,plain,
( ron(sK2,sK13(sK3,sK1))
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7136,f458]) ).
fof(f7144,plain,
ron(sK2,sK13(sK3,sK1)),
inference(forward_subsumption_resolution,[],[f7140,f456]) ).
fof(f9578,definition,
( spl54_309
<=> vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_309])],[avatar_definition]) ).
fof(f9580,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,vd1303)
| ~ spl54_309 ),
inference(avatar_component_clause,[],[f9578]) ).
fof(f9581,plain,
( spl54_309
| spl54_27 ),
inference(avatar_split_clause,[],[f2197,f1977,f9578]) ).
fof(f12241,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK3,X0,X1)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1616,f503]) ).
fof(f12244,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,[],[f1621,f500]) ).
fof(f12245,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK1,X0,X1)
| rR(sK1,X2,X3)
| sK1 = X1
| sK1 = X3
| sK1 = X0
| sK1 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK1,X1) = vangle(X2,sK1,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1622,f500]) ).
fof(f12249,plain,
! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK3 = X0
| X0 = X1
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1638,f500]) ).
fof(f12265,plain,
! [X0] :
( vd684 != vangle(sK2,sK3,sK1)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| vd1300 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1753,f754]) ).
fof(f12280,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f2284,f4142]) ).
fof(f12610,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1295)
| rR(sK3,X2,X3)
| sK3 = X1
| sK3 = X3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK3,X0,X1)
| ~ ron(X2,vd1295)
| vangle(X3,sK3,X1) = vangle(X2,sK3,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f12241,f456]) ).
fof(f12613,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,[],[f12244,f456]) ).
fof(f12614,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1297)
| rR(sK1,X2,X3)
| sK1 = X1
| sK1 = X3
| sK1 = X0
| sK1 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK1,X0,X1)
| ~ ron(X2,vd1297)
| vangle(X3,sK1,X1) = vangle(X2,sK1,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f12245,f460]) ).
fof(f12618,plain,
! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f12249,f456]) ).
fof(f12634,plain,
! [X0] :
( vd684 != vangle(sK2,sK3,sK1)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f12265,f755]) ).
fof(f12649,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f12280,f754]) ).
fof(f13157,plain,
! [X0] :
( vd684 != vangle(sK2,sK3,sK1)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f12634,f460]) ).
fof(f13172,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f12649,f758]) ).
fof(f13586,plain,
! [X0] :
( vd684 != vangle(sK2,sK3,sK1)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f13157,f474]) ).
fof(f13597,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f13172,f460]) ).
fof(f13835,plain,
! [X0] :
( vd684 != vangle(sK2,sK3,sK1)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f13586,f456]) ).
fof(f13995,plain,
! [X0] :
( vd684 != vangle(sK1,sK3,sK2)
| ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) ),
inference(forward_demodulation,[],[f13835,f2203]) ).
fof(f14108,definition,
( spl54_504
<=> vd684 = vangle(sK2,sK3,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_504])],[avatar_definition]) ).
fof(f14109,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| ~ spl54_504 ),
inference(avatar_component_clause,[],[f14108]) ).
fof(f14110,plain,
( vd684 != vangle(sK2,sK3,vd1303)
| spl54_504 ),
inference(avatar_component_clause,[],[f14108]) ).
fof(f14341,definition,
( spl54_512
<=> ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_512])],[avatar_definition]) ).
fof(f14342,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) )
| ~ spl54_512 ),
inference(avatar_component_clause,[],[f14341]) ).
fof(f14344,definition,
( spl54_513
<=> rR(sK3,sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_513])],[avatar_definition]) ).
fof(f14345,plain,
( rR(sK3,sK2,sK2)
| ~ spl54_513 ),
inference(avatar_component_clause,[],[f14344]) ).
fof(f14346,plain,
( ~ rR(sK3,sK2,sK2)
| spl54_513 ),
inference(avatar_component_clause,[],[f14344]) ).
fof(f14400,definition,
( spl54_514
<=> rR(sK3,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_514])],[avatar_definition]) ).
fof(f14401,plain,
( rR(sK3,sK1,sK1)
| ~ spl54_514 ),
inference(avatar_component_clause,[],[f14400]) ).
fof(f14402,plain,
( ~ rR(sK3,sK1,sK1)
| spl54_514 ),
inference(avatar_component_clause,[],[f14400]) ).
fof(f14404,definition,
( spl54_515
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_515])],[avatar_definition]) ).
fof(f14405,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK3,X0) )
| ~ spl54_515 ),
inference(avatar_component_clause,[],[f14404]) ).
fof(f14513,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1799,f918]) ).
fof(f14520,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ rpoint(X0)
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f14513]) ).
fof(f14527,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f12610,f766]) ).
fof(f14537,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,sK2)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f14527,f758]) ).
fof(f14544,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| rR(sK3,X0,sK2)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK3,X2) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f14537,f458]) ).
fof(f14574,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,[],[f12613,f757]) ).
fof(f14575,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,sK1)
| sK3 = X1
| sK1 = sK3
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK3,X2) = vangle(sK1,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f12613,f765]) ).
fof(f14587,plain,
! [X2,X3,X0,X1] :
( rR(sK3,X0,sK1)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK3,X2) = vangle(sK1,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f14575,f754]) ).
fof(f14588,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) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f14574,f1903]) ).
fof(f14595,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK3 = X1
| sK3 = X2
| sK3 = X0
| ~ ron(X1,X3)
| rR(sK3,X0,sK1)
| rR(sK3,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK3,X2) = vangle(sK1,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f14587,f460]) ).
fof(f14596,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) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f14588,f453]) ).
fof(f14644,plain,
! [X2,X3,X0,X1] :
( rR(sK1,X0,sK3)
| sK1 = X1
| sK1 = sK3
| sK1 = X2
| sK1 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK1,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK1,X2) = vangle(sK3,sK1,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f12614,f767]) ).
fof(f14649,plain,
! [X2,X3,X0,X1] :
( rR(sK1,X0,sK3)
| sK1 = X1
| sK1 = X2
| sK1 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK1,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK1,X2) = vangle(sK3,sK1,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f14644,f754]) ).
fof(f14653,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| sK1 = X0
| ~ ron(X1,X3)
| rR(sK1,X0,sK3)
| rR(sK1,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK1,X2) = vangle(sK3,sK1,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f14649,f456]) ).
fof(f14682,plain,
! [X2,X3,X0,X1] :
( sK1 = X0
| sK1 = X1
| sK1 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK1,X2,sK3)
| rR(sK1,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK3,sK1,X0) = vangle(X2,sK1,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f14653,f918]) ).
fof(f14689,plain,
! [X2,X3,X0,X1] :
( sK1 = X0
| sK1 = X1
| sK1 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK1,X2,sK3)
| rR(sK1,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK3,sK1,X0) = vangle(X2,sK1,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f14682]) ).
fof(f14691,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(X3,X1))
| sK1 = X1
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,sK3)
| rR(sK1,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK3,sK1,X0) = vangle(X2,sK1,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f14689,f922]) ).
fof(f14821,definition,
( spl54_528
<=> vd684 = vangle(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_528])],[avatar_definition]) ).
fof(f14822,plain,
( vd684 != vangle(sK3,sK1,sK2)
| spl54_528 ),
inference(avatar_component_clause,[],[f14821]) ).
fof(f14823,plain,
( vd684 = vangle(sK3,sK1,sK2)
| ~ spl54_528 ),
inference(avatar_component_clause,[],[f14821]) ).
fof(f14895,plain,
! [X0,X1] :
( sK3 = X0
| sK1 = sK3
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK2)
| rR(sK3,sK1,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(resolution,[],[f14544,f765]) ).
fof(f14900,plain,
! [X0,X1] :
( sK3 = X0
| sK2 = sK3
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,sK2)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(resolution,[],[f14544,f766]) ).
fof(f14911,plain,
! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,sK2)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1295)
| vangle(sK2,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f14544,f918]) ).
fof(f14918,plain,
! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,sK2)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1295)
| vangle(sK2,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f14911]) ).
fof(f14920,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(X3,X1))
| sK3 = X1
| sK3 = X2
| sK3 = X0
| rR(sK3,X2,sK2)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1295)
| vangle(sK2,sK3,X0) = vangle(X2,sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f14918,f922]) ).
fof(f14921,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,sK2)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14900,f758]) ).
fof(f14925,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK2)
| rR(sK3,sK1,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14895,f754]) ).
fof(f14932,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1295)
| rR(sK3,X1,sK2)
| rR(sK3,sK2,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14921,f503]) ).
fof(f14936,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK2)
| rR(sK3,sK1,X0)
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14925,f500]) ).
fof(f14943,plain,
! [X0,X1] :
( rR(sK3,sK2,X0)
| rR(sK3,X1,sK2)
| ~ ron(X0,vd1295)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14932,f458]) ).
fof(f14947,plain,
! [X0,X1] :
( rR(sK3,sK1,X0)
| rR(sK3,X1,sK2)
| ~ ron(X0,vd1297)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(sK2,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14936,f460]) ).
fof(f14964,plain,
! [X0,X1] :
( sK3 = X0
| sK1 = sK3
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK1)
| rR(sK3,sK1,X0)
| ~ ron(X1,vd1297)
| vangle(sK1,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(resolution,[],[f14595,f765]) ).
fof(f14980,plain,
! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,sK1)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK1,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f14595,f918]) ).
fof(f14987,plain,
! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,sK1)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK1,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f14980]) ).
fof(f14989,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(X3,X1))
| sK3 = X1
| sK3 = X2
| sK3 = X0
| rR(sK3,X2,sK1)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK1,sK3,X0) = vangle(X2,sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f14987,f922]) ).
fof(f14994,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK1)
| rR(sK3,sK1,X0)
| ~ ron(X1,vd1297)
| vangle(sK1,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14964,f754]) ).
fof(f15005,plain,
! [X0,X1] :
( sK3 = X0
| sK3 = X1
| ~ ron(X0,vd1297)
| rR(sK3,X1,sK1)
| rR(sK3,sK1,X0)
| ~ ron(X1,vd1297)
| vangle(sK1,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f14994,f500]) ).
fof(f15016,plain,
! [X0,X1] :
( rR(sK3,sK1,X0)
| rR(sK3,X1,sK1)
| ~ ron(X0,vd1297)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1297)
| vangle(sK1,sK3,X0) = vangle(X1,sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f15005,f460]) ).
fof(f15201,plain,
! [X0,X1] :
( vd684 = vangle(X0,X1,sK3)
| ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| sK3 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,sK3,X0)
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f12618,f803]) ).
fof(f15235,plain,
! [X0,X1] :
( vd684 = vangle(X0,X1,sK3)
| ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| sK3 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,sK3,X0)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f15201]) ).
fof(f15252,plain,
! [X0,X1] :
( rR(X1,sK3,X0)
| ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| sK3 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vangle(X0,X1,sK3) ),
inference(forward_subsumption_resolution,[],[f15235,f456]) ).
fof(f15415,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| X0 = X3
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f14520,f918]) ).
fof(f15422,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f15415]) ).
fof(f15427,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X2,X4)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f15422,f1556]) ).
fof(f15434,plain,
! [X2,X0,X1] :
( rR(X0,X1,sK1)
| sK1 = X0
| X0 = X2
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,vd1297)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,sK1)
| ~ rline(vd1297)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(resolution,[],[f15427,f765]) ).
fof(f15466,plain,
! [X2,X0,X1] :
( rR(X0,X1,sK1)
| sK1 = X0
| X0 = X2
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,vd1297)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,sK1)
| ~ rpoint(sK1)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f15434,f500]) ).
fof(f15479,plain,
! [X2,X0,X1] :
( ~ ron(X1,vd1297)
| sK1 = X0
| X0 = X2
| X0 = X1
| ~ rpoint(X0)
| rR(X0,X1,sK1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,sK1)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f15466,f460]) ).
fof(f16215,plain,
( ! [X0] :
( rR(sK3,sK2,X0)
| ~ ron(X0,vd1295)
| sK2 = sK3
| sK3 = X0
| ~ ron(sK2,vd1295)
| vangle(sK2,sK3,sK2) = vangle(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| spl54_513 ),
inference(resolution,[],[f14943,f14346]) ).
fof(f16264,plain,
( ! [X0] :
( rR(sK3,sK2,X0)
| ~ ron(X0,vd1295)
| sK3 = X0
| ~ ron(sK2,vd1295)
| vangle(sK2,sK3,sK2) = vangle(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f16215,f758]) ).
fof(f16289,plain,
( ! [X0] :
( rR(sK3,sK2,X0)
| ~ ron(X0,vd1295)
| sK3 = X0
| vangle(sK2,sK3,sK2) = vangle(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f16264,f766]) ).
fof(f16307,plain,
( ! [X0] :
( rR(sK3,sK2,X0)
| ~ ron(X0,vd1295)
| sK3 = X0
| vangle(sK2,sK3,sK2) = vangle(sK2,sK3,X0)
| ~ rpoint(X0) )
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f16289,f458]) ).
fof(f16318,plain,
( ! [X0] :
( rR(sK3,sK2,X0)
| vd684 = vangle(sK2,sK3,X0)
| ~ ron(X0,vd1295)
| sK3 = X0
| ~ rpoint(X0) )
| spl54_513 ),
inference(forward_demodulation,[],[f16307,f1894]) ).
fof(f16646,definition,
( spl54_536
<=> rR(sK3,vd1303,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_536])],[avatar_definition]) ).
fof(f16647,plain,
( ~ rR(sK3,vd1303,sK3)
| spl54_536 ),
inference(avatar_component_clause,[],[f16646]) ).
fof(f16648,plain,
( rR(sK3,vd1303,sK3)
| ~ spl54_536 ),
inference(avatar_component_clause,[],[f16646]) ).
fof(f16683,plain,
! [X0] :
( rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK1 = sK3
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f15016,f1556]) ).
fof(f16687,plain,
! [X0] :
( rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK1 = sK3
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f16683]) ).
fof(f16709,plain,
! [X0] :
( rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f16687,f754]) ).
fof(f16733,plain,
! [X0] :
( rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f16709,f765]) ).
fof(f16757,plain,
! [X0] :
( rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f16733,f460]) ).
fof(f16768,plain,
! [X0] :
( rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f16757,f456]) ).
fof(f16777,plain,
! [X0] :
( vd684 = vangle(sK1,sK3,X0)
| rR(sK3,sK1,X0)
| ~ ron(X0,vd1297)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f16768,f1895]) ).
fof(f16784,definition,
( spl54_539
<=> ! [X0] :
( vd684 = vangle(sK1,sK3,X0)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297)
| rR(sK3,sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_539])],[avatar_definition]) ).
fof(f16785,plain,
( ! [X0] :
( rR(sK3,sK1,X0)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297)
| vd684 = vangle(sK1,sK3,X0) )
| ~ spl54_539 ),
inference(avatar_component_clause,[],[f16784]) ).
fof(f16791,plain,
spl54_539,
inference(avatar_split_clause,[],[f16777,f16784]) ).
fof(f16802,plain,
! [X0] :
( rR(sK3,X0,sK2)
| ~ ron(vd1303,vd1297)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,sK1)
| ~ rpoint(vd1303)
| ~ rpoint(X0) ),
inference(resolution,[],[f14947,f1673]) ).
fof(f16878,plain,
! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| vd1303 = sK3
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,sK1)
| ~ rpoint(vd1303)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f16802,f757]) ).
fof(f16905,plain,
( ! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,sK1)
| ~ rpoint(vd1303)
| ~ rpoint(X0) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f16878,f1903]) ).
fof(f16920,plain,
( ! [X0] :
( rR(sK3,X0,sK2)
| sK3 = X0
| ~ ron(X0,vd1295)
| vangle(sK2,sK3,vd1303) = vangle(X0,sK3,sK1)
| ~ rpoint(X0) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f16905,f453]) ).
fof(f17042,plain,
! [X2,X0,X1] :
( sK1 = X0
| sK1 = X1
| sK1 = X2
| rR(sK1,X1,sK3)
| rR(sK1,X0,X2)
| ~ ron(X1,vd1297)
| vangle(X1,sK1,X0) = vangle(sK3,sK1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f14691,f920]) ).
fof(f17047,plain,
! [X2,X0,X1] :
( rR(sK1,X1,sK3)
| rR(sK1,X0,X2)
| sK1 = X2
| sK1 = X1
| sK1 = X0
| ~ ron(X1,vd1297)
| vangle(X1,sK1,X0) = vangle(sK3,sK1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f17042]) ).
fof(f17075,plain,
( rR(sK3,sK3,vd1303)
| ~ rpoint(sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_536 ),
inference(resolution,[],[f16648,f803]) ).
fof(f17088,plain,
( rR(sK3,sK3,vd1303)
| ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_536 ),
inference(duplicate_literal_removal,[],[f17075]) ).
fof(f17093,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl54_536 ),
inference(forward_subsumption_resolution,[],[f17088,f1555]) ).
fof(f17096,plain,
( ~ rpoint(vd1303)
| ~ spl54_536 ),
inference(forward_subsumption_resolution,[],[f17093,f456]) ).
fof(f17099,plain,
( $false
| ~ spl54_536 ),
inference(forward_subsumption_resolution,[],[f17096,f453]) ).
fof(f17100,plain,
~ spl54_536,
inference(avatar_contradiction_clause,[],[f17099]) ).
fof(f17165,plain,
( ~ rpoint(vd1306)
| vd1306 = sK3
| ~ ron(vd1306,vd1297)
| vd684 = vangle(sK1,sK3,vd1306)
| ~ spl54_539 ),
inference(resolution,[],[f16785,f741]) ).
fof(f17166,plain,
( ~ rpoint(vd1303)
| vd1303 = sK3
| ~ ron(vd1303,vd1297)
| vd684 = vangle(sK1,sK3,vd1303)
| ~ spl54_539 ),
inference(resolution,[],[f16785,f1673]) ).
fof(f17197,plain,
( vd1303 = sK3
| ~ ron(vd1303,vd1297)
| vd684 = vangle(sK1,sK3,vd1303)
| ~ spl54_539 ),
inference(forward_subsumption_resolution,[],[f17166,f453]) ).
fof(f17198,plain,
( vd1306 = sK3
| ~ ron(vd1306,vd1297)
| vd684 = vangle(sK1,sK3,vd1306)
| ~ spl54_539 ),
inference(forward_subsumption_resolution,[],[f17165,f451]) ).
fof(f17207,plain,
( ~ ron(vd1303,vd1297)
| vd684 = vangle(sK1,sK3,vd1303)
| spl54_23
| ~ spl54_539 ),
inference(forward_subsumption_resolution,[],[f17197,f1903]) ).
fof(f17208,plain,
( ~ ron(vd1306,vd1297)
| vd684 = vangle(sK1,sK3,vd1306)
| ~ spl54_539 ),
inference(forward_subsumption_resolution,[],[f17198,f752]) ).
fof(f17211,plain,
( vd684 = vangle(sK1,sK3,vd1303)
| spl54_23
| ~ spl54_539 ),
inference(forward_subsumption_resolution,[],[f17207,f757]) ).
fof(f17212,plain,
( vd684 = vangle(sK1,sK3,vd1306)
| ~ spl54_539 ),
inference(forward_subsumption_resolution,[],[f17208,f513]) ).
fof(f17216,plain,
! [X2,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| rR(sK3,X1,sK1)
| rR(sK3,X0,X2)
| ~ ron(X1,vd1297)
| vangle(X1,sK3,X0) = vangle(sK1,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f14989,f920]) ).
fof(f17221,plain,
! [X2,X0,X1] :
( rR(sK3,X1,sK1)
| rR(sK3,X0,X2)
| sK3 = X2
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1297)
| vangle(X1,sK3,X0) = vangle(sK1,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f17216]) ).
fof(f17248,plain,
! [X2,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| rR(sK3,X1,sK2)
| rR(sK3,X0,X2)
| ~ ron(X1,vd1295)
| vangle(X1,sK3,X0) = vangle(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f14920,f920]) ).
fof(f17253,plain,
! [X2,X0,X1] :
( rR(sK3,X1,sK2)
| rR(sK3,X0,X2)
| sK3 = X2
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1295)
| vangle(X1,sK3,X0) = vangle(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f17248]) ).
fof(f17313,plain,
( vd684 = vangle(sK2,sK3,vd1300)
| ~ ron(vd1300,vd1295)
| vd1300 = sK3
| ~ rpoint(vd1300)
| spl54_513 ),
inference(resolution,[],[f16318,f742]) ).
fof(f17346,plain,
( vd684 = vangle(sK2,sK3,vd1300)
| vd1300 = sK3
| ~ rpoint(vd1300)
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f17313,f768]) ).
fof(f17357,plain,
( vd684 = vangle(sK2,sK3,vd1300)
| ~ rpoint(vd1300)
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f17346,f755]) ).
fof(f17361,plain,
( vd684 = vangle(sK2,sK3,vd1300)
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f17357,f474]) ).
fof(f17531,plain,
! [X0,X1] :
( sK1 = X0
| X0 = X1
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK1)
| ~ rpoint(X1)
| vangle(X1,X0,sK3) = vangle(X1,X0,sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f15479,f767]) ).
fof(f17537,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK1)
| sK1 = X0
| vangle(X1,X0,sK3) = vangle(X1,X0,sK1) ),
inference(forward_subsumption_resolution,[],[f17531,f456]) ).
fof(f18092,plain,
! [X0] :
( sK3 = X0
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK1)
| sK1 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK1) ),
inference(resolution,[],[f17537,f456]) ).
fof(f18093,plain,
! [X0] :
( rR(X0,sK3,sK1)
| ~ rpoint(X0)
| sK3 = X0
| sK1 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK1) ),
inference(duplicate_literal_removal,[],[f18092]) ).
fof(f18782,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| sK1 = X1
| sK1 = sK3
| sK1 = X0
| ~ ron(sK3,vd1297)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| X0 = X1
| ~ rR(sK1,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(resolution,[],[f17047,f2377]) ).
fof(f18841,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| sK1 = X1
| sK1 = sK3
| sK1 = X0
| ~ ron(sK3,vd1297)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| X0 = X1
| ~ rR(sK1,vd1303,sK3) ),
inference(duplicate_literal_removal,[],[f18782]) ).
fof(f18860,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| sK1 = X1
| sK1 = X0
| ~ ron(sK3,vd1297)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| X0 = X1
| ~ rR(sK1,vd1303,sK3) ),
inference(forward_subsumption_resolution,[],[f18841,f754]) ).
fof(f18872,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| sK1 = X1
| sK1 = X0
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| X0 = X1
| ~ rR(sK1,vd1303,sK3) ),
inference(forward_subsumption_resolution,[],[f18860,f767]) ).
fof(f18876,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| sK1 = X1
| sK1 = X0
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rR(sK1,vd1303,sK3) ),
inference(forward_subsumption_resolution,[],[f18872,f456]) ).
fof(f18878,plain,
! [X0,X1] :
( rR(sK1,X0,X1)
| sK1 = X1
| sK1 = X0
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f18876,f1610]) ).
fof(f18882,plain,
! [X0] :
( sK1 = X0
| sK1 = sK3
| vangle(sK3,sK1,sK3) = vangle(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK3 = X0
| ~ rR(sK1,vd1303,X0)
| ~ rpoint(X0) ),
inference(resolution,[],[f18878,f2377]) ).
fof(f18915,plain,
! [X0] :
( sK1 = X0
| sK1 = sK3
| vangle(sK3,sK1,sK3) = vangle(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK3 = X0
| ~ rR(sK1,vd1303,X0) ),
inference(duplicate_literal_removal,[],[f18882]) ).
fof(f18924,plain,
! [X0] :
( sK1 = X0
| vangle(sK3,sK1,sK3) = vangle(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK3 = X0
| ~ rR(sK1,vd1303,X0) ),
inference(forward_subsumption_resolution,[],[f18915,f754]) ).
fof(f18927,plain,
! [X0] :
( sK1 = X0
| vangle(sK3,sK1,sK3) = vangle(sK3,sK1,X0)
| ~ rpoint(X0)
| sK3 = X0
| ~ rR(sK1,vd1303,X0) ),
inference(forward_subsumption_resolution,[],[f18924,f456]) ).
fof(f18929,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| sK1 = X0
| ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(sK3,sK1,X0) ),
inference(forward_demodulation,[],[f18927,f1822]) ).
fof(f19440,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK1 = sK3
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| X0 = X1 )
| spl54_514 ),
inference(resolution,[],[f17221,f14402]) ).
fof(f19455,plain,
! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| vd1303 = sK3
| sK3 = X0
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| X0 = X1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(resolution,[],[f17221,f1704]) ).
fof(f19543,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| ~ ron(vd1303,vd1297)
| vangle(vd1303,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| X0 = X1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f19455,f1903]) ).
fof(f19554,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| X0 = X1 )
| spl54_514 ),
inference(forward_subsumption_resolution,[],[f19440,f754]) ).
fof(f19570,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(vd1303,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| X0 = X1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f19543,f757]) ).
fof(f19581,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(sK1,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| X0 = X1 )
| spl54_514 ),
inference(forward_subsumption_resolution,[],[f19554,f765]) ).
fof(f19595,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(vd1303,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f19570,f453]) ).
fof(f19599,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(sK1,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl54_514 ),
inference(forward_subsumption_resolution,[],[f19581,f460]) ).
fof(f19611,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(vd1303,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(sK3) )
| spl54_23
| spl54_536 ),
inference(forward_subsumption_resolution,[],[f19595,f16647]) ).
fof(f19614,definition,
( spl54_544
<=> ! [X0,X1] :
( rR(sK3,X0,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(sK1,sK3,X0) = vangle(sK1,sK3,X1)
| sK3 = X0
| sK3 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl54_544])],[avatar_definition]) ).
fof(f19615,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(sK1,sK3,X0) = vangle(sK1,sK3,X1)
| sK3 = X0
| sK3 = X1 )
| ~ spl54_544 ),
inference(avatar_component_clause,[],[f19614]) ).
fof(f19617,plain,
( spl54_544
| spl54_514 ),
inference(avatar_split_clause,[],[f19599,f14400,f19614]) ).
fof(f19629,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(vd1303,sK3,X0) = vangle(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl54_23
| spl54_536 ),
inference(forward_subsumption_resolution,[],[f19611,f456]) ).
fof(f19652,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(sK1)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| sK1 = sK3
| sK3 = X0
| rR(sK1,vd1303,X0)
| ~ rpoint(X0) )
| ~ spl54_544 ),
inference(resolution,[],[f19615,f1728]) ).
fof(f19696,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(sK1)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| sK1 = sK3
| sK3 = X0
| rR(sK1,vd1303,X0) )
| ~ spl54_544 ),
inference(duplicate_literal_removal,[],[f19652]) ).
fof(f19716,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(X0)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| sK1 = sK3
| sK3 = X0
| rR(sK1,vd1303,X0) )
| ~ spl54_544 ),
inference(forward_subsumption_resolution,[],[f19696,f460]) ).
fof(f19730,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(X0)
| vangle(sK1,sK3,sK1) = vangle(sK1,sK3,X0)
| sK3 = X0
| rR(sK1,vd1303,X0) )
| ~ spl54_544 ),
inference(forward_subsumption_resolution,[],[f19716,f754]) ).
fof(f19743,plain,
( ! [X0] :
( rR(sK1,vd1303,X0)
| sK1 = X0
| ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(sK1,sK3,X0) )
| ~ spl54_544 ),
inference(forward_demodulation,[],[f19730,f1895]) ).
fof(f20823,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ ron(X2,sK13(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,[],[f4974,f1063]) ).
fof(f20832,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK13(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,[],[f20823]) ).
fof(f20849,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) ),
inference(resolution,[],[f20832,f7144]) ).
fof(f21750,plain,
( vd684 != vf(sK1,vd1300)
| spl54_16 ),
inference(forward_demodulation,[],[f1773,f2279]) ).
fof(f22291,definition,
( spl54_607
<=> rR(sK3,vd1300,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_607])],[avatar_definition]) ).
fof(f22292,plain,
( ~ rR(sK3,vd1300,sK3)
| spl54_607 ),
inference(avatar_component_clause,[],[f22291]) ).
fof(f22293,plain,
( rR(sK3,vd1300,sK3)
| ~ spl54_607 ),
inference(avatar_component_clause,[],[f22291]) ).
fof(f22295,definition,
( spl54_608
<=> vd684 = vangle(sK2,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_608])],[avatar_definition]) ).
fof(f22297,plain,
( vd684 = vangle(sK2,sK3,vd1300)
| ~ spl54_608 ),
inference(avatar_component_clause,[],[f22295]) ).
fof(f22322,plain,
( spl54_608
| spl54_513 ),
inference(avatar_split_clause,[],[f17361,f14344,f22295]) ).
fof(f22370,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) ),
inference(forward_subsumption_resolution,[],[f20849,f456]) ).
fof(f22397,plain,
( $false
| ~ spl54_14
| spl54_16 ),
inference(forward_subsumption_resolution,[],[f21750,f4098]) ).
fof(f22398,plain,
( ~ spl54_14
| spl54_16 ),
inference(avatar_contradiction_clause,[],[f22397]) ).
fof(f22668,definition,
( spl54_627
<=> rR(sK3,vd1300,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_627])],[avatar_definition]) ).
fof(f22669,plain,
( rR(sK3,vd1300,sK1)
| ~ spl54_627 ),
inference(avatar_component_clause,[],[f22668]) ).
fof(f22670,plain,
( ~ rR(sK3,vd1300,sK1)
| spl54_627 ),
inference(avatar_component_clause,[],[f22668]) ).
fof(f22740,plain,
! [X0] :
( ~ rpoint(sK1)
| sK1 = sK3
| rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f22370,f747]) ).
fof(f22949,plain,
! [X0] :
( sK1 = sK3
| rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f22740,f460]) ).
fof(f23074,plain,
! [X0] :
( rR(sK3,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f22949,f754]) ).
fof(f23184,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f23074,f4104]) ).
fof(f23282,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f23184,f458]) ).
fof(f23326,definition,
( spl54_655
<=> rR(vd1300,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_655])],[avatar_definition]) ).
fof(f23328,plain,
( ~ rR(vd1300,sK3,sK1)
| spl54_655 ),
inference(avatar_component_clause,[],[f23326]) ).
fof(f23330,definition,
( spl54_656
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_656])],[avatar_definition]) ).
fof(f23331,plain,
( vd684 = sF52
| ~ spl54_656 ),
inference(avatar_component_clause,[],[f23330]) ).
fof(f23332,plain,
( vd684 != sF52
| spl54_656 ),
inference(avatar_component_clause,[],[f23330]) ).
fof(f23508,definition,
( spl54_665
<=> ! [X0,X1] :
( rR(sK3,X0,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| sK3 = X0
| sK3 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl54_665])],[avatar_definition]) ).
fof(f23509,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| sK3 = X0
| sK3 = X1 )
| ~ spl54_665 ),
inference(avatar_component_clause,[],[f23508]) ).
fof(f23567,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f13597,f458]) ).
fof(f23896,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f23567,f456]) ).
fof(f24759,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_513 ),
inference(resolution,[],[f14345,f1556]) ).
fof(f24769,plain,
( ~ rpoint(sK3)
| ~ spl54_513 ),
inference(forward_subsumption_resolution,[],[f24759,f458]) ).
fof(f24777,plain,
( $false
| ~ spl54_513 ),
inference(forward_subsumption_resolution,[],[f24769,f456]) ).
fof(f24778,plain,
~ spl54_513,
inference(avatar_contradiction_clause,[],[f24777]) ).
fof(f24924,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_514 ),
inference(resolution,[],[f14401,f1556]) ).
fof(f24934,plain,
( ~ rpoint(sK3)
| ~ spl54_514 ),
inference(forward_subsumption_resolution,[],[f24924,f460]) ).
fof(f24941,plain,
( $false
| ~ spl54_514 ),
inference(forward_subsumption_resolution,[],[f24934,f456]) ).
fof(f24942,plain,
~ spl54_514,
inference(avatar_contradiction_clause,[],[f24941]) ).
fof(f25331,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK2 = sK3
| sK3 = X0
| ~ ron(sK2,vd1295)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| X0 = X1 )
| spl54_513 ),
inference(resolution,[],[f14346,f17253]) ).
fof(f25347,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| ~ ron(sK2,vd1295)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| X0 = X1 )
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f25331,f758]) ).
fof(f25353,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| X0 = X1 )
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f25347,f766]) ).
fof(f25359,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl54_513 ),
inference(forward_subsumption_resolution,[],[f25353,f458]) ).
fof(f25365,plain,
( spl54_665
| spl54_513 ),
inference(avatar_split_clause,[],[f25359,f14344,f23508]) ).
fof(f25530,plain,
( rR(sK3,sK3,vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_607 ),
inference(resolution,[],[f22293,f803]) ).
fof(f25544,plain,
( rR(sK3,sK3,vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_607 ),
inference(duplicate_literal_removal,[],[f25530]) ).
fof(f25549,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_607 ),
inference(forward_subsumption_resolution,[],[f25544,f1555]) ).
fof(f25552,plain,
( ~ rpoint(vd1300)
| ~ spl54_607 ),
inference(forward_subsumption_resolution,[],[f25549,f456]) ).
fof(f25555,plain,
( $false
| ~ spl54_607 ),
inference(forward_subsumption_resolution,[],[f25552,f474]) ).
fof(f25556,plain,
~ spl54_607,
inference(avatar_contradiction_clause,[],[f25555]) ).
fof(f25600,plain,
( vd1300 = sK1
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1300)
| vd1300 = sK3
| sK1 = sK3
| spl54_627
| ~ spl54_665 ),
inference(resolution,[],[f22670,f23509]) ).
fof(f30870,plain,
( ! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,vd1303)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) )
| spl54_23 ),
inference(resolution,[],[f14596,f918]) ).
fof(f30877,plain,
( ! [X2,X3,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| ~ ron(X0,sK8(X3,X1))
| rR(sK3,X2,vd1303)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X2,sK3,X1)
| ~ rline(sK8(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl54_23 ),
inference(duplicate_literal_removal,[],[f30870]) ).
fof(f30881,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(X3,X1))
| sK3 = X1
| sK3 = X2
| sK3 = X0
| rR(sK3,X2,vd1303)
| rR(sK3,X1,X0)
| ~ ron(X2,vd1297)
| vangle(vd1303,sK3,X0) = vangle(X2,sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f30877,f922]) ).
fof(f30883,plain,
( ! [X2,X0,X1] :
( sK3 = X0
| sK3 = X1
| sK3 = X2
| rR(sK3,X1,vd1303)
| rR(sK3,X0,X2)
| ~ ron(X1,vd1297)
| vangle(X1,sK3,X0) = vangle(vd1303,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) )
| spl54_23 ),
inference(resolution,[],[f30881,f920]) ).
fof(f30899,plain,
( ! [X2,X0,X1] :
( rR(sK3,X1,vd1303)
| rR(sK3,X0,X2)
| sK3 = X2
| sK3 = X1
| sK3 = X0
| ~ ron(X1,vd1297)
| vangle(X1,sK3,X0) = vangle(vd1303,sK3,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 )
| spl54_23 ),
inference(duplicate_literal_removal,[],[f30883]) ).
fof(f31761,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(sK1,sK3,X0)
| sK1 = X0
| ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(sK3,sK1,X0) )
| ~ spl54_544 ),
inference(resolution,[],[f19743,f18929]) ).
fof(f31788,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| sK3 = X0
| vd684 = vangle(sK1,sK3,X0)
| vd684 = vangle(sK3,sK1,X0) )
| ~ spl54_544 ),
inference(duplicate_literal_removal,[],[f31761]) ).
fof(f32546,plain,
( vd1300 = sK3
| ~ ron(vd1300,vd1295)
| vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,vd1303)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(resolution,[],[f16920,f1705]) ).
fof(f32561,plain,
( ~ ron(vd1300,vd1295)
| vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,vd1303)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f32546,f755]) ).
fof(f32575,plain,
( vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,vd1303)
| ~ rpoint(vd1300)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f32561,f768]) ).
fof(f32589,plain,
( vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,vd1303)
| rR(sK3,vd1300,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f32575,f474]) ).
fof(f32603,plain,
( vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,vd1303)
| rR(sK3,vd1300,sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f32589,f456]) ).
fof(f32617,plain,
( vd684 = vangle(vd1300,sK3,sK1)
| rR(sK3,vd1300,sK3)
| spl54_23
| ~ spl54_504 ),
inference(forward_demodulation,[],[f32603,f14109]) ).
fof(f32624,plain,
( vd684 = vangle(sK2,sK3,sK1)
| rR(sK3,vd1300,sK3)
| spl54_23
| ~ spl54_504 ),
inference(forward_demodulation,[],[f32617,f739]) ).
fof(f32628,plain,
( vd684 = vangle(sK1,sK3,sK2)
| rR(sK3,vd1300,sK3)
| spl54_23
| ~ spl54_504 ),
inference(forward_demodulation,[],[f32624,f2203]) ).
fof(f34254,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK1 = sK3
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,X0) = vangle(vd1303,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| X0 = X1 )
| spl54_23 ),
inference(resolution,[],[f30899,f1673]) ).
fof(f34368,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| ~ ron(sK1,vd1297)
| vangle(sK1,sK3,X0) = vangle(vd1303,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| X0 = X1 )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34254,f754]) ).
fof(f34396,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(sK1,sK3,X0) = vangle(vd1303,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| X0 = X1 )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34368,f765]) ).
fof(f34416,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| sK3 = X1
| sK3 = X0
| vangle(sK1,sK3,X0) = vangle(vd1303,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34396,f460]) ).
fof(f34504,plain,
( vd1306 = sK3
| vd1303 = sK3
| vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(vd1303)
| vd1306 = vd1303
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(resolution,[],[f34416,f1703]) ).
fof(f34531,plain,
( vd1303 = sK3
| vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(vd1303)
| vd1306 = vd1303
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34504,f752]) ).
fof(f34550,plain,
( vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(vd1303)
| vd1306 = vd1303
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34531,f1903]) ).
fof(f34563,plain,
( vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| ~ rpoint(vd1303)
| vd1306 = vd1303
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34550,f451]) ).
fof(f34576,plain,
( vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| vd1306 = vd1303
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34563,f453]) ).
fof(f34588,plain,
( vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| rR(sK3,vd1303,sK3)
| ~ rpoint(sK3)
| spl54_23 ),
inference(forward_subsumption_resolution,[],[f34576,f759]) ).
fof(f34599,plain,
( vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| ~ rpoint(sK3)
| spl54_23
| spl54_536 ),
inference(forward_subsumption_resolution,[],[f34588,f16647]) ).
fof(f34610,plain,
( vangle(sK1,sK3,vd1303) = vangle(vd1303,sK3,vd1306)
| spl54_23
| spl54_536 ),
inference(forward_subsumption_resolution,[],[f34599,f456]) ).
fof(f36980,plain,
( sK1 = sK2
| sK2 = sK3
| vd684 = vangle(sK1,sK3,sK2)
| vd684 = vangle(sK3,sK1,sK2)
| ~ spl54_544 ),
inference(resolution,[],[f31788,f458]) ).
fof(f53147,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f23282,f23896]) ).
fof(f53328,plain,
( spl54_512
| ~ spl54_13 ),
inference(avatar_split_clause,[],[f53147,f1743,f14341]) ).
fof(f54093,plain,
( ~ rline(vd1295)
| ~ ron(sK2,vd1295)
| ~ spl54_512 ),
inference(resolution,[],[f14342,f769]) ).
fof(f54103,plain,
( ~ ron(sK2,vd1295)
| ~ spl54_512 ),
inference(forward_subsumption_resolution,[],[f54093,f503]) ).
fof(f54107,plain,
( $false
| ~ spl54_512 ),
inference(forward_subsumption_resolution,[],[f54103,f766]) ).
fof(f54108,plain,
~ spl54_512,
inference(avatar_contradiction_clause,[],[f54107]) ).
fof(f54273,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK1)
| vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1300)
| vd1300 = sK3
| sK1 = sK3
| spl54_15
| spl54_627
| ~ spl54_665 ),
inference(forward_subsumption_resolution,[],[f25600,f1768]) ).
fof(f54654,definition,
( spl54_1020
<=> ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(vd1300,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_1020])],[avatar_definition]) ).
fof(f54655,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(vd1300,X0) )
| ~ spl54_1020 ),
inference(avatar_component_clause,[],[f54654]) ).
fof(f55119,definition,
( spl54_1078
<=> rR(sK3,sK2,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_1078])],[avatar_definition]) ).
fof(f55120,plain,
( rR(sK3,sK2,vd1306)
| ~ spl54_1078 ),
inference(avatar_component_clause,[],[f55119]) ).
fof(f55121,plain,
( ~ rR(sK3,sK2,vd1306)
| spl54_1078 ),
inference(avatar_component_clause,[],[f55119]) ).
fof(f55123,definition,
( spl54_1079
<=> vd684 = vangle(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_1079])],[avatar_definition]) ).
fof(f55124,plain,
( vd684 = vangle(sK1,sK3,sK2)
| ~ spl54_1079 ),
inference(avatar_component_clause,[],[f55123]) ).
fof(f55125,plain,
( vd684 != vangle(sK1,sK3,sK2)
| spl54_1079 ),
inference(avatar_component_clause,[],[f55123]) ).
fof(f55131,plain,
( ! [X0] :
( vd684 != vangle(sK1,sK3,sK2)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_515 ),
inference(forward_subsumption_resolution,[],[f13995,f14405]) ).
fof(f55423,plain,
( vd684 = vangle(sK1,sK3,sK2)
| spl54_23
| ~ spl54_504
| spl54_607 ),
inference(forward_subsumption_resolution,[],[f32628,f22292]) ).
fof(f55461,plain,
( vd684 = vangle(vd1303,sK3,vd1306)
| spl54_23
| spl54_536
| ~ spl54_539 ),
inference(forward_demodulation,[],[f34610,f17211]) ).
fof(f55485,plain,
( sK2 = sK3
| vd684 = vangle(sK1,sK3,sK2)
| vd684 = vangle(sK3,sK1,sK2)
| ~ spl54_544 ),
inference(forward_subsumption_resolution,[],[f36980,f747]) ).
fof(f55503,definition,
( spl54_1099
<=> vd684 = vangle(vd1303,sK3,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_1099])],[avatar_definition]) ).
fof(f55505,plain,
( vd684 = vangle(vd1303,sK3,vd1306)
| ~ spl54_1099 ),
inference(avatar_component_clause,[],[f55503]) ).
fof(f55719,plain,
( ~ rpoint(sK1)
| vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1300)
| vd1300 = sK3
| sK1 = sK3
| spl54_15
| spl54_627
| ~ spl54_665 ),
inference(forward_subsumption_resolution,[],[f54273,f474]) ).
fof(f56142,plain,
( spl54_1020
| ~ spl54_1079
| ~ spl54_515 ),
inference(avatar_split_clause,[],[f55131,f14404,f55123,f54654]) ).
fof(f56320,plain,
( spl54_1079
| spl54_23
| ~ spl54_504
| spl54_607 ),
inference(avatar_split_clause,[],[f55423,f22291,f14108,f1902,f55123]) ).
fof(f56338,plain,
( spl54_1099
| spl54_23
| spl54_536
| ~ spl54_539 ),
inference(avatar_split_clause,[],[f55461,f16784,f16646,f1902,f55503]) ).
fof(f56348,plain,
( vd684 = vangle(sK1,sK3,sK2)
| vd684 = vangle(sK3,sK1,sK2)
| ~ spl54_544 ),
inference(forward_subsumption_resolution,[],[f55485,f758]) ).
fof(f56497,plain,
( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1300)
| vd1300 = sK3
| sK1 = sK3
| spl54_15
| spl54_627
| ~ spl54_665 ),
inference(forward_subsumption_resolution,[],[f55719,f460]) ).
fof(f56943,plain,
( vd684 = vangle(sK1,sK3,sK2)
| spl54_528
| ~ spl54_544 ),
inference(forward_subsumption_resolution,[],[f56348,f14822]) ).
fof(f57056,plain,
( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1300)
| sK1 = sK3
| spl54_15
| spl54_627
| ~ spl54_665 ),
inference(forward_subsumption_resolution,[],[f56497,f755]) ).
fof(f57311,plain,
( spl54_1079
| spl54_528
| ~ spl54_544 ),
inference(avatar_split_clause,[],[f56943,f19614,f14821,f55123]) ).
fof(f57373,definition,
( spl54_1215
<=> rR(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_1215])],[avatar_definition]) ).
fof(f57374,plain,
( ~ rR(sK3,sK1,sK2)
| spl54_1215 ),
inference(avatar_component_clause,[],[f57373]) ).
fof(f57375,plain,
( rR(sK3,sK1,sK2)
| ~ spl54_1215 ),
inference(avatar_component_clause,[],[f57373]) ).
fof(f57442,plain,
( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1300)
| spl54_15
| spl54_627
| ~ spl54_665 ),
inference(forward_subsumption_resolution,[],[f57056,f754]) ).
fof(f57615,definition,
( spl54_1236
<=> rR(vd1306,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_1236])],[avatar_definition]) ).
fof(f57616,plain,
( ~ rR(vd1306,sK3,sK2)
| spl54_1236 ),
inference(avatar_component_clause,[],[f57615]) ).
fof(f57772,plain,
( vd684 = vangle(sK2,sK3,sK1)
| spl54_15
| ~ spl54_608
| spl54_627
| ~ spl54_665 ),
inference(forward_demodulation,[],[f57442,f22297]) ).
fof(f57910,definition,
( spl54_1270
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_1270])],[avatar_definition]) ).
fof(f57911,plain,
( vd684 = sF53
| ~ spl54_1270 ),
inference(avatar_component_clause,[],[f57910]) ).
fof(f57912,plain,
( vd684 != sF53
| spl54_1270 ),
inference(avatar_component_clause,[],[f57910]) ).
fof(f58046,plain,
( vd684 = vangle(sK1,sK3,sK2)
| spl54_15
| ~ spl54_608
| spl54_627
| ~ spl54_665 ),
inference(forward_demodulation,[],[f57772,f2203]) ).
fof(f58170,plain,
( spl54_1079
| spl54_15
| ~ spl54_608
| spl54_627
| ~ spl54_665 ),
inference(avatar_split_clause,[],[f58046,f23508,f22668,f22295,f1767,f55123]) ).
fof(f58395,plain,
( vd684 = vangle(sK2,sK3,vd1306)
| ~ spl54_27
| ~ spl54_1099 ),
inference(forward_demodulation,[],[f55505,f1979]) ).
fof(f59493,plain,
( vd684 = vangle(sK2,sK3,sK1)
| ~ spl54_27
| ~ spl54_1099 ),
inference(forward_demodulation,[],[f58395,f740]) ).
fof(f60100,plain,
( vd684 = vangle(sK1,sK3,sK2)
| ~ spl54_27
| ~ spl54_1099 ),
inference(forward_demodulation,[],[f59493,f2203]) ).
fof(f60470,plain,
( $false
| ~ spl54_27
| spl54_1079
| ~ spl54_1099 ),
inference(forward_subsumption_resolution,[],[f60100,f55125]) ).
fof(f60471,plain,
( ~ spl54_27
| spl54_1079
| ~ spl54_1099 ),
inference(avatar_contradiction_clause,[],[f60470]) ).
fof(f61429,definition,
( spl54_1403
<=> ron(sK2,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_1403])],[avatar_definition]) ).
fof(f61430,plain,
( ron(sK2,vd1297)
| ~ spl54_1403 ),
inference(avatar_component_clause,[],[f61429]) ).
fof(f61431,plain,
( ~ ron(sK2,vd1297)
| spl54_1403 ),
inference(avatar_component_clause,[],[f61429]) ).
fof(f62455,plain,
( ~ rR(vd1300,sK3,sK1)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ spl54_627 ),
inference(resolution,[],[f22669,f792]) ).
fof(f62469,plain,
( ~ rR(vd1300,sK3,sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ spl54_627 ),
inference(forward_subsumption_resolution,[],[f62455,f460]) ).
fof(f62477,plain,
( ~ rR(vd1300,sK3,sK1)
| ~ rpoint(sK3)
| ~ spl54_627 ),
inference(forward_subsumption_resolution,[],[f62469,f474]) ).
fof(f62485,plain,
( ~ rR(vd1300,sK3,sK1)
| ~ spl54_627 ),
inference(forward_subsumption_resolution,[],[f62477,f456]) ).
fof(f62489,plain,
( ~ spl54_655
| ~ spl54_627 ),
inference(avatar_split_clause,[],[f62485,f22668,f23326]) ).
fof(f62657,plain,
( ~ rline(vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl54_1020 ),
inference(resolution,[],[f54655,f769]) ).
fof(f62667,plain,
( ~ ron(vd1300,vd1295)
| ~ spl54_1020 ),
inference(forward_subsumption_resolution,[],[f62657,f503]) ).
fof(f62670,plain,
( $false
| ~ spl54_1020 ),
inference(forward_subsumption_resolution,[],[f62667,f768]) ).
fof(f62671,plain,
~ spl54_1020,
inference(avatar_contradiction_clause,[],[f62670]) ).
fof(f62705,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(superposition,[],[f950,f55124]) ).
fof(f62706,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(superposition,[],[f954,f55124]) ).
fof(f62707,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(trivial_inequality_removal,[],[f62706]) ).
fof(f62708,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(trivial_inequality_removal,[],[f62705]) ).
fof(f63046,plain,
( vd1306 = sK3
| sK2 = sK3
| vangle(vd1303,sK3,sK2) = vangle(sK1,sK3,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| vd1306 = sK2
| spl54_23
| spl54_536
| spl54_1078 ),
inference(resolution,[],[f55121,f19629]) ).
fof(f63059,plain,
( sK2 = sK3
| vangle(vd1303,sK3,sK2) = vangle(sK1,sK3,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| vd1306 = sK2
| spl54_23
| spl54_536
| spl54_1078 ),
inference(forward_subsumption_resolution,[],[f63046,f752]) ).
fof(f63071,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK1,sK3,vd1306)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| vd1306 = sK2
| spl54_23
| spl54_536
| spl54_1078 ),
inference(forward_subsumption_resolution,[],[f63059,f758]) ).
fof(f63083,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK1,sK3,vd1306)
| ~ rpoint(sK2)
| vd1306 = sK2
| spl54_23
| spl54_536
| spl54_1078 ),
inference(forward_subsumption_resolution,[],[f63071,f451]) ).
fof(f63095,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK1,sK3,vd1306)
| vd1306 = sK2
| spl54_23
| spl54_536
| spl54_1078 ),
inference(forward_subsumption_resolution,[],[f63083,f458]) ).
fof(f63107,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK1,sK3,vd1306)
| spl54_13
| spl54_23
| spl54_536
| spl54_1078 ),
inference(forward_subsumption_resolution,[],[f63095,f1744]) ).
fof(f63119,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| spl54_13
| spl54_23
| spl54_536
| ~ spl54_539
| spl54_1078 ),
inference(forward_demodulation,[],[f63107,f17212]) ).
fof(f63128,plain,
( vd684 = vangle(sK2,sK3,vd1303)
| spl54_13
| spl54_23
| ~ spl54_309
| spl54_536
| ~ spl54_539
| spl54_1078 ),
inference(forward_demodulation,[],[f63119,f9580]) ).
fof(f63134,plain,
( $false
| spl54_13
| spl54_23
| ~ spl54_309
| spl54_504
| spl54_536
| ~ spl54_539
| spl54_1078 ),
inference(forward_subsumption_resolution,[],[f63128,f14110]) ).
fof(f63135,plain,
( spl54_13
| spl54_23
| ~ spl54_309
| spl54_504
| spl54_536
| ~ spl54_539
| spl54_1078 ),
inference(avatar_contradiction_clause,[],[f63134]) ).
fof(f64584,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079
| ~ spl54_1215 ),
inference(forward_subsumption_resolution,[],[f62708,f57375]) ).
fof(f64587,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(forward_subsumption_resolution,[],[f62707,f758]) ).
fof(f64609,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079
| ~ spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64584,f758]) ).
fof(f64612,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(forward_subsumption_resolution,[],[f64587,f754]) ).
fof(f64623,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079
| ~ spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64609,f754]) ).
fof(f64626,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(forward_subsumption_resolution,[],[f64612,f458]) ).
fof(f64634,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_1079
| ~ spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64623,f458]) ).
fof(f64636,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_1079 ),
inference(forward_subsumption_resolution,[],[f64626,f460]) ).
fof(f64639,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_1079
| ~ spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64634,f460]) ).
fof(f64643,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_1079
| ~ spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64639,f456]) ).
fof(f64645,plain,
( spl54_515
| ~ spl54_1079
| ~ spl54_1215 ),
inference(avatar_split_clause,[],[f64643,f57373,f55123,f14404]) ).
fof(f64661,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_1215 ),
inference(forward_subsumption_resolution,[],[f23074,f57374]) ).
fof(f64663,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_1079 ),
inference(forward_subsumption_resolution,[],[f64636,f456]) ).
fof(f64689,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64661,f458]) ).
fof(f64854,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_1079
| spl54_1215 ),
inference(forward_subsumption_resolution,[],[f64689,f64663]) ).
fof(f64866,plain,
( spl54_515
| ~ spl54_1079
| spl54_1215 ),
inference(avatar_split_clause,[],[f64854,f57373,f55123,f14404]) ).
fof(f64972,plain,
( rR(sK3,vd1306,sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_1078 ),
inference(resolution,[],[f55120,f803]) ).
fof(f64983,plain,
( rR(sK3,vd1306,sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_1078 ),
inference(forward_subsumption_resolution,[],[f64972,f451]) ).
fof(f64991,plain,
( rR(sK3,vd1306,sK2)
| ~ rpoint(sK2)
| ~ spl54_1078 ),
inference(forward_subsumption_resolution,[],[f64983,f456]) ).
fof(f64998,plain,
( rR(sK3,vd1306,sK2)
| ~ spl54_1078 ),
inference(forward_subsumption_resolution,[],[f64991,f458]) ).
fof(f65227,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_528 ),
inference(superposition,[],[f954,f14823]) ).
fof(f65228,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_528 ),
inference(trivial_inequality_removal,[],[f65227]) ).
fof(f65230,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_528 ),
inference(forward_subsumption_resolution,[],[f65228,f747]) ).
fof(f65239,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_528 ),
inference(forward_subsumption_resolution,[],[f65230,f754]) ).
fof(f65248,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_528 ),
inference(forward_subsumption_resolution,[],[f65239,f458]) ).
fof(f65257,plain,
( ! [X0] :
( ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| ~ spl54_528 ),
inference(forward_subsumption_resolution,[],[f65248,f456]) ).
fof(f65266,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_528 ),
inference(forward_subsumption_resolution,[],[f65257,f460]) ).
fof(f65295,plain,
( ron(sK2,vd1297)
| ~ ron(sK1,vd1297)
| ~ rline(vd1297)
| ~ spl54_528 ),
inference(resolution,[],[f65266,f767]) ).
fof(f65306,plain,
( ~ ron(sK1,vd1297)
| ~ rline(vd1297)
| ~ spl54_528
| spl54_1403 ),
inference(forward_subsumption_resolution,[],[f65295,f61431]) ).
fof(f65309,plain,
( ~ rline(vd1297)
| ~ spl54_528
| spl54_1403 ),
inference(forward_subsumption_resolution,[],[f65306,f765]) ).
fof(f65310,plain,
( $false
| ~ spl54_528
| spl54_1403 ),
inference(forward_subsumption_resolution,[],[f65309,f500]) ).
fof(f65311,plain,
( ~ spl54_528
| spl54_1403 ),
inference(avatar_contradiction_clause,[],[f65310]) ).
fof(f66594,plain,
( ~ rR(vd1306,sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK3)
| ~ spl54_1078 ),
inference(resolution,[],[f64998,f792]) ).
fof(f66605,plain,
( ~ rR(vd1306,sK3,sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK3)
| ~ spl54_1078 ),
inference(forward_subsumption_resolution,[],[f66594,f458]) ).
fof(f66611,plain,
( ~ rR(vd1306,sK3,sK2)
| ~ rpoint(sK3)
| ~ spl54_1078 ),
inference(forward_subsumption_resolution,[],[f66605,f451]) ).
fof(f66617,plain,
( ~ rR(vd1306,sK3,sK2)
| ~ spl54_1078 ),
inference(forward_subsumption_resolution,[],[f66611,f456]) ).
fof(f66621,plain,
( ~ spl54_1236
| ~ spl54_1078 ),
inference(avatar_split_clause,[],[f66617,f55119,f57615]) ).
fof(f68443,plain,
( ~ rpoint(vd1300)
| vd1300 = sK3
| vd1300 = sK1
| vangle(sK3,vd1300,sK1) = vangle(sK3,vd1300,sK3)
| spl54_655 ),
inference(resolution,[],[f23328,f18093]) ).
fof(f68457,plain,
( vd1300 = sK3
| vd1300 = sK1
| vangle(sK3,vd1300,sK1) = vangle(sK3,vd1300,sK3)
| spl54_655 ),
inference(forward_subsumption_resolution,[],[f68443,f474]) ).
fof(f68461,plain,
( vd1300 = sK1
| vangle(sK3,vd1300,sK1) = vangle(sK3,vd1300,sK3)
| spl54_655 ),
inference(forward_subsumption_resolution,[],[f68457,f755]) ).
fof(f68465,plain,
( vangle(sK3,vd1300,sK1) = vangle(sK3,vd1300,sK3)
| spl54_15
| spl54_655 ),
inference(forward_subsumption_resolution,[],[f68461,f1768]) ).
fof(f68469,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| spl54_15
| spl54_655 ),
inference(forward_demodulation,[],[f68465,f2313]) ).
fof(f68473,plain,
( vd684 = sF52
| spl54_15
| spl54_655 ),
inference(forward_demodulation,[],[f68469,f1550]) ).
fof(f68478,plain,
( $false
| spl54_15
| spl54_655
| spl54_656 ),
inference(forward_subsumption_resolution,[],[f68473,f23332]) ).
fof(f68479,plain,
( spl54_15
| spl54_655
| spl54_656 ),
inference(avatar_contradiction_clause,[],[f68478]) ).
fof(f74175,plain,
( ~ ron(sK2,vd1297)
| ~ ron(vd1306,vd1297)
| vd1306 = sK3
| vd1306 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| vd684 = vangle(sK2,vd1306,sK3)
| spl54_1236 ),
inference(resolution,[],[f57616,f15252]) ).
fof(f74181,plain,
( ~ ron(vd1306,vd1297)
| vd1306 = sK3
| vd1306 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| vd684 = vangle(sK2,vd1306,sK3)
| spl54_1236
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74175,f61430]) ).
fof(f74187,plain,
( vd1306 = sK3
| vd1306 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| vd684 = vangle(sK2,vd1306,sK3)
| spl54_1236
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74181,f513]) ).
fof(f74193,plain,
( vd1306 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| vd684 = vangle(sK2,vd1306,sK3)
| spl54_1236
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74187,f752]) ).
fof(f74199,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1306)
| vd684 = vangle(sK2,vd1306,sK3)
| spl54_13
| spl54_1236
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74193,f1744]) ).
fof(f74205,plain,
( ~ rpoint(vd1306)
| vd684 = vangle(sK2,vd1306,sK3)
| spl54_13
| spl54_1236
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74199,f458]) ).
fof(f74211,plain,
( vd684 = vangle(sK2,vd1306,sK3)
| spl54_13
| spl54_1236
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74205,f451]) ).
fof(f74217,plain,
( vd684 = sF53
| spl54_13
| spl54_1236
| ~ spl54_1403 ),
inference(forward_demodulation,[],[f74211,f3284]) ).
fof(f74218,plain,
( $false
| spl54_13
| spl54_1236
| spl54_1270
| ~ spl54_1403 ),
inference(forward_subsumption_resolution,[],[f74217,f57912]) ).
fof(f74219,plain,
( spl54_13
| spl54_1236
| spl54_1270
| ~ spl54_1403 ),
inference(avatar_contradiction_clause,[],[f74218]) ).
fof(f74242,plain,
( vd684 != sF52
| ~ spl54_1270 ),
inference(superposition,[],[f1553,f57911]) ).
fof(f74243,plain,
( $false
| ~ spl54_656
| ~ spl54_1270 ),
inference(forward_subsumption_resolution,[],[f74242,f23331]) ).
fof(f74244,plain,
( ~ spl54_656
| ~ spl54_1270 ),
inference(avatar_contradiction_clause,[],[f74243]) ).
cnf(s28,plain,
~ spl54_23,
inference(sat_conversion,[],[f2044]) ).
cnf(s29,plain,
( spl54_13
| ~ spl54_16 ),
inference(sat_conversion,[],[f2102]) ).
cnf(s127,plain,
( spl54_14
| ~ spl54_15 ),
inference(sat_conversion,[],[f4093]) ).
cnf(s360,plain,
( spl54_27
| spl54_309 ),
inference(sat_conversion,[],[f9581]) ).
cnf(s673,plain,
spl54_539,
inference(sat_conversion,[],[f16791]) ).
cnf(s677,plain,
~ spl54_536,
inference(sat_conversion,[],[f17100]) ).
cnf(s682,plain,
( spl54_514
| spl54_544 ),
inference(sat_conversion,[],[f19617]) ).
cnf(s742,plain,
( spl54_513
| spl54_608 ),
inference(sat_conversion,[],[f22322]) ).
cnf(s745,plain,
( ~ spl54_14
| spl54_16 ),
inference(sat_conversion,[],[f22398]) ).
cnf(s928,plain,
~ spl54_513,
inference(sat_conversion,[],[f24778]) ).
cnf(s930,plain,
~ spl54_514,
inference(sat_conversion,[],[f24942]) ).
cnf(s932,plain,
( spl54_513
| spl54_665 ),
inference(sat_conversion,[],[f25365]) ).
cnf(s933,plain,
~ spl54_607,
inference(sat_conversion,[],[f25556]) ).
cnf(s1272,plain,
( ~ spl54_13
| spl54_512 ),
inference(sat_conversion,[],[f53328]) ).
cnf(s1318,plain,
~ spl54_512,
inference(sat_conversion,[],[f54108]) ).
cnf(s1518,plain,
( ~ spl54_515
| spl54_1020
| ~ spl54_1079 ),
inference(sat_conversion,[],[f56142]) ).
cnf(s1541,plain,
( spl54_23
| ~ spl54_504
| spl54_607
| spl54_1079 ),
inference(sat_conversion,[],[f56320]) ).
cnf(s1543,plain,
( spl54_23
| spl54_536
| ~ spl54_539
| spl54_1099 ),
inference(sat_conversion,[],[f56338]) ).
cnf(s1636,plain,
( spl54_528
| ~ spl54_544
| spl54_1079 ),
inference(sat_conversion,[],[f57311]) ).
cnf(s1761,plain,
( spl54_15
| ~ spl54_608
| spl54_627
| ~ spl54_665
| spl54_1079 ),
inference(sat_conversion,[],[f58170]) ).
cnf(s1953,plain,
( ~ spl54_27
| spl54_1079
| ~ spl54_1099 ),
inference(sat_conversion,[],[f60471]) ).
cnf(s2175,plain,
( ~ spl54_627
| ~ spl54_655 ),
inference(sat_conversion,[],[f62489]) ).
cnf(s2183,plain,
~ spl54_1020,
inference(sat_conversion,[],[f62671]) ).
cnf(s2195,plain,
( spl54_13
| spl54_23
| ~ spl54_309
| spl54_504
| spl54_536
| ~ spl54_539
| spl54_1078 ),
inference(sat_conversion,[],[f63135]) ).
cnf(s2227,plain,
( spl54_515
| ~ spl54_1079
| ~ spl54_1215 ),
inference(sat_conversion,[],[f64645]) ).
cnf(s2253,plain,
( spl54_515
| ~ spl54_1079
| spl54_1215 ),
inference(sat_conversion,[],[f64866]) ).
cnf(s2273,plain,
( ~ spl54_528
| spl54_1403 ),
inference(sat_conversion,[],[f65311]) ).
cnf(s2287,plain,
( ~ spl54_1078
| ~ spl54_1236 ),
inference(sat_conversion,[],[f66621]) ).
cnf(s2322,plain,
( spl54_15
| spl54_655
| spl54_656 ),
inference(sat_conversion,[],[f68479]) ).
cnf(s2440,plain,
( spl54_13
| spl54_1236
| spl54_1270
| ~ spl54_1403 ),
inference(sat_conversion,[],[f74219]) ).
cnf(s2442,plain,
( ~ spl54_656
| ~ spl54_1270 ),
inference(sat_conversion,[],[f74244]) ).
cnf(s2457,plain,
( ~ spl54_515
| ~ spl54_1079 ),
inference(rat,[],[s1518,s2183]) ).
cnf(s2462,plain,
~ spl54_13,
inference(rat,[],[s1272,s1318]) ).
cnf(s2477,plain,
spl54_665,
inference(rat,[],[s932,s928]) ).
cnf(s2485,plain,
spl54_608,
inference(rat,[],[s742,s928]) ).
cnf(s2486,plain,
spl54_544,
inference(rat,[],[s682,s930]) ).
cnf(s2562,plain,
~ spl54_16,
inference(rat,[],[s29,s2462]) ).
cnf(s2563,plain,
~ spl54_14,
inference(rat,[],[s745,s2562]) ).
cnf(s2564,plain,
~ spl54_15,
inference(rat,[],[s127,s2563]) ).
cnf(s2566,plain,
spl54_1099,
inference(rat,[],[s1543,s673,s677,s28]) ).
cnf(s2576,plain,
( spl54_515
| ~ spl54_1079 ),
inference(rat,[],[s2227,s2253]) ).
cnf(s2577,plain,
~ spl54_1079,
inference(rat,[],[s2576,s2457]) ).
cnf(s2579,plain,
~ spl54_27,
inference(rat,[],[s1953,s2566,s2577]) ).
cnf(s2584,plain,
spl54_528,
inference(rat,[],[s1636,s2486,s2577]) ).
cnf(s2587,plain,
spl54_627,
inference(rat,[],[s1761,s2564,s2477,s2485,s2577]) ).
cnf(s2590,plain,
~ spl54_504,
inference(rat,[],[s1541,s28,s933,s2577]) ).
cnf(s2598,plain,
spl54_309,
inference(rat,[],[s360,s2579]) ).
cnf(s2606,plain,
spl54_1403,
inference(rat,[],[s2273,s2584]) ).
cnf(s2611,plain,
~ spl54_655,
inference(rat,[],[s2175,s2587]) ).
cnf(s2617,plain,
spl54_1078,
inference(rat,[],[s2195,s2598,s673,s677,s28,s2462,s2590]) ).
cnf(s2629,plain,
spl54_656,
inference(rat,[],[s2322,s2564,s2611]) ).
cnf(s2639,plain,
~ spl54_1236,
inference(rat,[],[s2287,s2617]) ).
cnf(s2654,plain,
~ spl54_1270,
inference(rat,[],[s2442,s2629]) ).
cnf(s2662,plain,
$false,
inference(rat,[],[s2440,s2606,s2462,s2654,s2639]) ).
fof(f74245,plain,
$false,
inference(avatar_sat_refutation,[],[s2662]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO310+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:03:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.66/2.52 % (906453)Detected formulas, will run a generic FOF schedule.
% 11.66/2.52 % (906461)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=740248293:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.66/2.52 % (906461)Instruction limit reached!
% 11.66/2.52 % (906461)------------------------------
% 11.66/2.52 % (906461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.52 % (906461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.52 % (906461)CaDiCaL version: 2.1.3
% 11.66/2.52 % (906461)Termination reason: Instruction limit
% 11.66/2.52 % (906461)Termination phase: Saturation
% 11.66/2.52 % (906461)Time elapsed: 0.029 s
% 11.66/2.52 % (906461)Peak memory usage: 90 MB
% 11.66/2.52 % (906461)Instructions burned: 109 (million)
% 11.66/2.52 % (906458)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=33587370:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.66/2.52 % (906459)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=3187959287:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.66/2.52 % (906460)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=736963922:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.66/2.52 % (906464)dis-21_1_sil=8000:lcm=predicate:random_seed=432929236:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.66/2.52 % (906462)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1356826716:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.66/2.52 % (906463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=882305789:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.66/2.52 % (906463)Instruction limit reached!
% 11.66/2.52 % (906463)------------------------------
% 11.66/2.52 % (906463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.52 % (906463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.52 % (906463)CaDiCaL version: 2.1.3
% 11.66/2.52 % (906463)Termination reason: Instruction limit
% 11.66/2.52 % (906463)Termination phase: Saturation
% 11.66/2.52 % (906463)Time elapsed: 0.045 s
% 11.66/2.52 % (906463)Peak memory usage: 90 MB
% 11.66/2.52 % (906463)Instructions burned: 139 (million)
% 11.66/2.52 % (906462)Instruction limit reached!
% 11.66/2.52 % (906462)------------------------------
% 11.66/2.52 % (906462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.52 % (906462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.52 % (906462)CaDiCaL version: 2.1.3
% 11.66/2.52 % (906462)Termination reason: Instruction limit
% 11.66/2.52 % (906462)Termination phase: Saturation
% 11.66/2.52 % (906462)Time elapsed: 0.063 s
% 11.66/2.52 % (906462)Peak memory usage: 89 MB
% 11.66/2.52 % (906462)Instructions burned: 119 (million)
% 11.66/2.52 % (906464)Instruction limit reached!
% 11.66/2.52 % (906464)------------------------------
% 11.66/2.52 % (906464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.52 % (906464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.52 % (906464)CaDiCaL version: 2.1.3
% 11.66/2.52 % (906464)Termination reason: Instruction limit
% 11.66/2.52 % (906464)Termination phase: Saturation
% 11.66/2.52 % (906464)Time elapsed: 0.069 s
% 11.66/2.52 % (906464)Peak memory usage: 90 MB
% 11.66/2.52 % (906464)Instructions burned: 130 (million)
% 11.66/2.52 % (906466)lrs+10_1_sil=8000:sp=occurrence:random_seed=4062313197:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.66/2.52 % (906473)lrs+10_1_sil=32000:urr=on:br=off:random_seed=912807736:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.66/2.52 % (906473)Instruction limit reached!
% 11.66/2.52 % (906473)------------------------------
% 11.66/2.52 % (906473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.66/2.52 % (906473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.66/2.52 % (906473)CaDiCaL version: 2.1.3
% 11.66/2.52 % (906473)Termination reason: Instruction limit
% 11.66/2.52 % (906473)Termination phase: Saturation
% 11.66/2.52 % (906473)Time elapsed: 0.039 s
% 18.45/3.59 % (906473)Peak memory usage: 90 MB
% 18.45/3.59 % (906473)Instructions burned: 159 (million)
% 18.45/3.59 % (906474)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1912261319:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.45/3.59 % (906475)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=3029703095:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 18.45/3.59 % (906466)Instruction limit reached!
% 18.45/3.59 % (906466)------------------------------
% 18.45/3.59 % (906466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.59 % (906466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.59 % (906466)CaDiCaL version: 2.1.3
% 18.45/3.59 % (906466)Termination reason: Instruction limit
% 18.45/3.59 % (906466)Termination phase: Saturation
% 18.45/3.59 % (906466)Time elapsed: 0.146 s
% 18.45/3.59 % (906466)Peak memory usage: 92 MB
% 18.45/3.59 % (906466)Instructions burned: 287 (million)
% 18.45/3.59 % (906478)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2444905351:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 18.45/3.59 % (906478)Refutation not found, incomplete strategy
% 18.45/3.59 % (906478)------------------------------
% 18.45/3.59 % (906478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.59 % (906478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.59 % (906478)CaDiCaL version: 2.1.3
% 18.45/3.59 % (906478)Termination reason: Refutation not found, incomplete strategy
% 18.45/3.59 % (906478)Time elapsed: 0.011 s
% 18.45/3.59 % (906478)Peak memory usage: 90 MB
% 18.45/3.59 % (906478)Instructions burned: 40 (million)
% 18.45/3.59 % (906475)Instruction limit reached!
% 18.45/3.59 % (906475)------------------------------
% 18.45/3.59 % (906475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.59 % (906475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.59 % (906475)CaDiCaL version: 2.1.3
% 18.45/3.59 % (906475)Termination reason: Instruction limit
% 18.45/3.59 % (906475)Termination phase: Saturation
% 18.45/3.59 % (906475)Time elapsed: 0.119 s
% 18.45/3.59 % (906475)Peak memory usage: 93 MB
% 18.45/3.59 % (906475)Instructions burned: 248 (million)
% 18.45/3.59 % (906474)Instruction limit reached!
% 18.45/3.59 % (906474)------------------------------
% 18.45/3.59 % (906474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.59 % (906474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.59 % (906474)CaDiCaL version: 2.1.3
% 18.45/3.59 % (906474)Termination reason: Instruction limit
% 18.45/3.59 % (906474)Termination phase: Saturation
% 18.45/3.59 % (906474)Time elapsed: 0.155 s
% 18.45/3.59 % (906474)Peak memory usage: 90 MB
% 18.45/3.59 % (906474)Instructions burned: 326 (million)
% 18.45/3.59 % (906481)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1003640034:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.45/3.59 % (906478)------------------------------
% 18.45/3.59 % (906478)------------------------------
% 18.45/3.59 % (906483)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3910469416:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.45/3.59 % (906484)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=79367420:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.45/3.59 % (906484)Refutation not found, incomplete strategy
% 18.45/3.59 % (906484)------------------------------
% 18.45/3.59 % (906484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.59 % (906484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.59 % (906484)CaDiCaL version: 2.1.3
% 18.45/3.59 % (906484)Termination reason: Refutation not found, incomplete strategy
% 18.45/3.59 % (906484)Time elapsed: 0.026 s
% 18.45/3.59 % (906484)Peak memory usage: 89 MB
% 18.45/3.59 % (906484)Instructions burned: 53 (million)
% 18.45/3.59 % (906483)Instruction limit reached!
% 18.45/3.59 % (906483)------------------------------
% 18.45/3.59 % (906483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/3.59 % (906483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/3.59 % (906483)CaDiCaL version: 2.1.3
% 18.45/3.59 % (906483)Termination reason: Instruction limit
% 18.45/3.59 % (906483)Termination phase: Saturation
% 18.45/3.59 % (906483)Time elapsed: 0.060 s
% 31.66/5.31 % (906483)Peak memory usage: 90 MB
% 31.66/5.31 % (906483)Instructions burned: 114 (million)
% 31.66/5.31 % (906486)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=819260783:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 31.66/5.31 % (906486)Instruction limit reached!
% 31.66/5.31 % (906486)------------------------------
% 31.66/5.31 % (906486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.66/5.31 % (906486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.66/5.31 % (906486)CaDiCaL version: 2.1.3
% 31.66/5.31 % (906486)Termination reason: Instruction limit
% 31.66/5.31 % (906486)Termination phase: Saturation
% 31.66/5.31 % (906486)Time elapsed: 0.025 s
% 31.66/5.31 % (906486)Peak memory usage: 89 MB
% 31.66/5.31 % (906486)Instructions burned: 115 (million)
% 31.66/5.31 % (906489)lrs+10_1_sil=8000:sp=occurrence:random_seed=1409607977:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 31.66/5.31 % (906491)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=103257123:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 31.66/5.31 % (906491)Refutation not found, incomplete strategy
% 31.66/5.31 % (906491)------------------------------
% 31.66/5.31 % (906491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.66/5.31 % (906491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.66/5.31 % (906491)CaDiCaL version: 2.1.3
% 31.66/5.31 % (906491)Termination reason: Refutation not found, incomplete strategy
% 31.66/5.31 % (906491)Time elapsed: 0.009 s
% 31.66/5.31 % (906491)Peak memory usage: 90 MB
% 31.66/5.31 % (906491)Instructions burned: 32 (million)
% 31.66/5.31 % (906484)------------------------------
% 31.66/5.31 % (906484)------------------------------
% 31.66/5.31 % (906491)------------------------------
% 31.66/5.31 % (906491)------------------------------
% 31.66/5.31 % (906494)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2699200707:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 31.66/5.31 % (906495)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3436574321:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 31.66/5.31 % (906495)Instruction limit reached!
% 31.66/5.31 % (906495)------------------------------
% 31.66/5.31 % (906495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.66/5.31 % (906495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.66/5.31 % (906495)CaDiCaL version: 2.1.3
% 31.66/5.31 % (906495)Termination reason: Instruction limit
% 31.66/5.31 % (906495)Termination phase: Saturation
% 31.66/5.31 % (906495)Time elapsed: 0.036 s
% 31.66/5.31 % (906495)Peak memory usage: 93 MB
% 31.66/5.31 % (906495)Instructions burned: 138 (million)
% 31.66/5.31 % (906498)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=193922945:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 31.66/5.31 % (906489)Instruction limit reached!
% 31.66/5.31 % (906489)------------------------------
% 31.66/5.31 % (906489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.66/5.31 % (906489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.66/5.31 % (906489)CaDiCaL version: 2.1.3
% 31.66/5.31 % (906489)Termination reason: Instruction limit
% 31.66/5.31 % (906489)Termination phase: Saturation
% 31.66/5.31 % (906489)Time elapsed: 0.477 s
% 31.66/5.31 % (906489)Peak memory usage: 98 MB
% 31.66/5.31 % (906489)Instructions burned: 909 (million)
% 31.66/5.31 % (906498)Instruction limit reached!
% 31.66/5.31 % (906498)------------------------------
% 31.66/5.31 % (906498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.66/5.31 % (906498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.66/5.31 % (906498)CaDiCaL version: 2.1.3
% 31.66/5.31 % (906498)Termination reason: Instruction limit
% 31.66/5.31 % (906498)Termination phase: Saturation
% 31.66/5.31 % (906498)Time elapsed: 0.152 s
% 31.66/5.31 % (906498)Peak memory usage: 93 MB
% 31.66/5.31 % (906498)Instructions burned: 595 (million)
% 31.66/5.31 % (906500)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1949832824:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 31.66/5.31 % (906501)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=749576176:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 67.68/10.42 % (906501)Instruction limit reached!
% 67.68/10.42 % (906501)------------------------------
% 67.68/10.42 % (906501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.42 % (906501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.42 % (906501)CaDiCaL version: 2.1.3
% 67.68/10.42 % (906501)Termination reason: Instruction limit
% 67.68/10.42 % (906501)Termination phase: Saturation
% 67.68/10.42 % (906501)Time elapsed: 0.035 s
% 67.68/10.42 % (906501)Peak memory usage: 90 MB
% 67.68/10.42 % (906501)Instructions burned: 126 (million)
% 67.68/10.42 % (906504)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3655592527:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 67.68/10.42 % (906504)Instruction limit reached!
% 67.68/10.42 % (906504)------------------------------
% 67.68/10.42 % (906504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.42 % (906504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.42 % (906504)CaDiCaL version: 2.1.3
% 67.68/10.42 % (906504)Termination reason: Instruction limit
% 67.68/10.42 % (906504)Termination phase: Saturation
% 67.68/10.42 % (906504)Time elapsed: 0.042 s
% 67.68/10.42 % (906504)Peak memory usage: 91 MB
% 67.68/10.42 % (906504)Instructions burned: 136 (million)
% 67.68/10.42 % (906506)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2702551839:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 67.68/10.42 % (906506)Refutation not found, incomplete strategy
% 67.68/10.42 % (906506)------------------------------
% 67.68/10.42 % (906506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.42 % (906506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.42 % (906506)CaDiCaL version: 2.1.3
% 67.68/10.42 % (906506)Termination reason: Refutation not found, incomplete strategy
% 67.68/10.42 % (906506)Time elapsed: 0.007 s
% 67.68/10.42 % (906506)Peak memory usage: 89 MB
% 67.68/10.42 % (906506)Instructions burned: 26 (million)
% 67.68/10.42 % (906481)Instruction limit reached!
% 67.68/10.42 % (906481)------------------------------
% 67.68/10.42 % (906481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.42 % (906481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.42 % (906481)CaDiCaL version: 2.1.3
% 67.68/10.42 % (906481)Termination reason: Instruction limit
% 67.68/10.42 % (906481)Termination phase: Saturation
% 67.68/10.42 % (906481)Time elapsed: 1.478 s
% 67.68/10.42 % (906481)Peak memory usage: 141 MB
% 67.68/10.42 % (906481)Instructions burned: 2351 (million)
% 67.68/10.42 % (906506)------------------------------
% 67.68/10.42 % (906506)------------------------------
% 67.68/10.42 % (906508)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=438221916:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 67.68/10.42 % (906508)Refutation not found, incomplete strategy
% 67.68/10.42 % (906508)------------------------------
% 67.68/10.42 % (906508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.42 % (906508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.42 % (906508)CaDiCaL version: 2.1.3
% 67.68/10.42 % (906508)Termination reason: Refutation not found, incomplete strategy
% 67.68/10.42 % (906508)Time elapsed: 0.007 s
% 67.68/10.42 % (906508)Peak memory usage: 89 MB
% 67.68/10.42 % (906508)Instructions burned: 11 (million)
% 67.68/10.42 % (906509)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=620550114:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 67.68/10.42 % (906508)------------------------------
% 67.68/10.42 % (906508)------------------------------
% 67.68/10.42 % (906512)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=2356647765:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 67.68/10.42 % (906512)Instruction limit reached!
% 67.68/10.42 % (906512)------------------------------
% 67.68/10.42 % (906512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.42 % (906512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.42 % (906512)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906512)Termination reason: Instruction limit
% 67.68/10.48 % (906512)Termination phase: Saturation
% 67.68/10.48 % (906512)Time elapsed: 0.076 s
% 67.68/10.48 % (906512)Peak memory usage: 92 MB
% 67.68/10.48 % (906512)Instructions burned: 152 (million)
% 67.68/10.48 % (906514)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3282035663:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 67.68/10.48 % (906494)Instruction limit reached!
% 67.68/10.48 % (906494)------------------------------
% 67.68/10.48 % (906494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906494)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906494)Termination reason: Instruction limit
% 67.68/10.48 % (906494)Termination phase: Saturation
% 67.68/10.48 % (906494)Time elapsed: 2.754 s
% 67.68/10.48 % (906494)Peak memory usage: 144 MB
% 67.68/10.48 % (906494)Instructions burned: 5204 (million)
% 67.68/10.48 % (906509)Instruction limit reached!
% 67.68/10.48 % (906509)------------------------------
% 67.68/10.48 % (906509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906509)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906509)Termination reason: Instruction limit
% 67.68/10.48 % (906509)Termination phase: Saturation
% 67.68/10.48 % (906509)Time elapsed: 1.707 s
% 67.68/10.48 % (906509)Peak memory usage: 141 MB
% 67.68/10.48 % (906509)Instructions burned: 6061 (million)
% 67.68/10.48 % (906516)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4054112694:i=667:av=off:fsr=off_2960 on theBenchmark for (2960ds/667Mi)
% 67.68/10.48 % (906517)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=3273703226:s2a=on:i=185:s2at=1.8:fdi=4_2960 on theBenchmark for (2960ds/185Mi)
% 67.68/10.48 % (906516)Refutation not found, incomplete strategy
% 67.68/10.48 % (906516)------------------------------
% 67.68/10.48 % (906516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906516)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906516)Termination reason: Refutation not found, incomplete strategy
% 67.68/10.48 % (906516)Time elapsed: 0.022 s
% 67.68/10.48 % (906516)Peak memory usage: 89 MB
% 67.68/10.48 % (906516)Instructions burned: 44 (million)
% 67.68/10.48 % (906517)Instruction limit reached!
% 67.68/10.48 % (906517)------------------------------
% 67.68/10.48 % (906517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906517)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906517)Termination reason: Instruction limit
% 67.68/10.48 % (906517)Termination phase: Saturation
% 67.68/10.48 % (906517)Time elapsed: 0.051 s
% 67.68/10.48 % (906517)Peak memory usage: 93 MB
% 67.68/10.48 % (906517)Instructions burned: 187 (million)
% 67.68/10.48 % (906520)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=974550519:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2958 on theBenchmark for (2958ds/193Mi)
% 67.68/10.48 % (906520)Instruction limit reached!
% 67.68/10.48 % (906520)------------------------------
% 67.68/10.48 % (906520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906520)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906520)Termination reason: Instruction limit
% 67.68/10.48 % (906520)Termination phase: Saturation
% 67.68/10.48 % (906520)Time elapsed: 0.056 s
% 67.68/10.48 % (906520)Peak memory usage: 91 MB
% 67.68/10.48 % (906520)Instructions burned: 195 (million)
% 67.68/10.48 % (906516)------------------------------
% 67.68/10.48 % (906516)------------------------------
% 67.68/10.48 % (906522)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2431203151:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2956 on theBenchmark for (2956ds/4850Mi)
% 67.68/10.48 % (906522)Refutation not found, incomplete strategy
% 67.68/10.48 % (906522)------------------------------
% 67.68/10.48 % (906522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906522)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906522)Termination reason: Refutation not found, incomplete strategy
% 67.68/10.48 % (906522)Time elapsed: 0.009 s
% 67.68/10.48 % (906522)Peak memory usage: 89 MB
% 67.68/10.48 % (906522)Instructions burned: 32 (million)
% 67.68/10.48 % (906523)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3635147266:i=12111:sd=1:ss=included_2956 on theBenchmark for (2956ds/12111Mi)
% 67.68/10.48 % (906522)------------------------------
% 67.68/10.48 % (906522)------------------------------
% 67.68/10.48 % (906526)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1957552228:i=319:kws=precedence:fsr=off_2953 on theBenchmark for (2953ds/319Mi)
% 67.68/10.48 % (906526)Instruction limit reached!
% 67.68/10.48 % (906526)------------------------------
% 67.68/10.48 % (906526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906526)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906526)Termination reason: Instruction limit
% 67.68/10.48 % (906526)Termination phase: Saturation
% 67.68/10.48 % (906526)Time elapsed: 0.088 s
% 67.68/10.48 % (906526)Peak memory usage: 95 MB
% 67.68/10.48 % (906526)Instructions burned: 319 (million)
% 67.68/10.48 % (906528)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=119891640:i=2064:ep=RST_2951 on theBenchmark for (2951ds/2064Mi)
% 67.68/10.48 % (906528)Instruction limit reached!
% 67.68/10.48 % (906528)------------------------------
% 67.68/10.48 % (906528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906528)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906528)Termination reason: Instruction limit
% 67.68/10.48 % (906528)Termination phase: Saturation
% 67.68/10.48 % (906528)Time elapsed: 0.504 s
% 67.68/10.48 % (906528)Peak memory usage: 96 MB
% 67.68/10.48 % (906528)Instructions burned: 2068 (million)
% 67.68/10.48 % (906530)dis-1011_128_sil=32000:random_seed=2251053524:i=3706:ep=RST:av=off_2945 on theBenchmark for (2945ds/3706Mi)
% 67.68/10.48 % (906530)Instruction limit reached!
% 67.68/10.48 % (906530)------------------------------
% 67.68/10.48 % (906530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906530)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906530)Termination reason: Instruction limit
% 67.68/10.48 % (906530)Termination phase: Saturation
% 67.68/10.48 % (906530)Time elapsed: 0.660 s
% 67.68/10.48 % (906530)Peak memory usage: 89 MB
% 67.68/10.48 % (906530)Instructions burned: 3709 (million)
% 67.68/10.48 % (906532)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3917256197:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2937 on theBenchmark for (2937ds/757Mi)
% 67.68/10.48 % (906532)Instruction limit reached!
% 67.68/10.48 % (906532)------------------------------
% 67.68/10.48 % (906532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906532)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906532)Termination reason: Instruction limit
% 67.68/10.48 % (906532)Termination phase: Saturation
% 67.68/10.48 % (906532)Time elapsed: 0.235 s
% 67.68/10.48 % (906532)Peak memory usage: 100 MB
% 67.68/10.48 % (906532)Instructions burned: 757 (million)
% 67.68/10.48 % (906534)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3840040774:i=13913:ss=axioms:sgt=8_2933 on theBenchmark for (2933ds/13913Mi)
% 67.68/10.48 % (906500)Instruction limit reached!
% 67.68/10.48 % (906500)------------------------------
% 67.68/10.48 % (906500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906500)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906500)Termination reason: Instruction limit
% 67.68/10.48 % (906500)Termination phase: Saturation
% 67.68/10.48 % (906500)Time elapsed: 7.691 s
% 67.68/10.48 % (906500)Peak memory usage: 175 MB
% 67.68/10.48 % (906500)Instructions burned: 13194 (million)
% 67.68/10.48 % (906458)First to succeed.
% 67.68/10.48 % (906458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-906453"
% 67.68/10.48 % (906536)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1083849899:i=9925:aac=none_2907 on theBenchmark for (2907ds/9925Mi)
% 67.68/10.48 % (906514)Instruction limit reached!
% 67.68/10.48 % (906514)------------------------------
% 67.68/10.48 % (906514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 67.68/10.48 % (906514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.68/10.48 % (906514)CaDiCaL version: 2.1.3
% 67.68/10.48 % (906514)Termination reason: Instruction limit
% 67.68/10.48 % (906514)Termination phase: Saturation
% 67.68/10.48 % (906514)Time elapsed: 6.676 s
% 67.68/10.48 % (906514)Peak memory usage: 149 MB
% 67.68/10.48 % (906514)Instructions burned: 14156 (million)
% 67.68/10.48 % (906458)Refutation found. Thanks to Tanya!
% 67.68/10.48 % SZS status Theorem for theBenchmark
% 67.68/10.48 % SZS output start Proof for theBenchmark
% See solution above
% 68.57/10.58 % (906458)------------------------------
% 68.57/10.58 % (906458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.57/10.58 % (906458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.57/10.58 % (906458)CaDiCaL version: 2.1.3
% 68.57/10.58 % (906458)Termination reason: Refutation
% 68.57/10.58 % (906458)Time elapsed: 9.118 s
% 68.57/10.58 % (906458)Peak memory usage: 188 MB
% 68.57/10.58 % (906458)Instructions burned: 15781 (million)
% 68.57/10.58 % (906458)------------------------------
% 68.57/10.58 % (906458)------------------------------
% 68.57/10.58 % (906453)Success in time 9.628 s
% 68.57/10.58 % Vampire exiting
%------------------------------------------------------------------------------