%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO327+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:28 AM UTC 2026
% Result : Theorem 143.56s 21.10s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 92
% Syntax : Number of formulae : 1078 ( 140 unt; 47 def)
% Number of atoms : 6399 (1663 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 9304 (3983 ~;5038 |; 209 &)
% ( 54 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 46 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-4 aty)
% Number of variables : 1700 ( 0 sgn1645 !; 55 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1302,vd1289,vd1288) = vangle(vd1329,vd1288,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(378), 1348, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1302,vd1289,vd1288) != vangle(vd1329,vd1288,vd1289),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(375), 1343, 0)') ).
fof(f9,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(374, 1342, 0)') ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f14,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(373, 1341, 0)') ).
fof(f15,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f16,axiom,
~ rR(vd1287,vd1289,vd1302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(372))') ).
fof(f18,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f19,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f20,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(f21,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f22,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(f26,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(f27,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(f33,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f35,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rpoint(vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof(f38,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(f40,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f42,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(368))), 1334, 0)') ).
fof(f77,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(f78,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(f79,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f80,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(370)), 0)') ).
fof(f83,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f85,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f87,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f88,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f90,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f92,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f93,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f96,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f97,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(370)), 0)') ).
fof(f98,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(369)), 0)') ).
fof(f99,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(369)), 0)') ).
fof(f101,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f108,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f112,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(f116,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f118,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(f133,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(f143,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(f144,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(f178,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(f187,plain,
vangle(vd1302,vd1289,vd1288) != vangle(vd1329,vd1288,vd1289),
inference(flattening,[],[f2]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f199,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,[],[f198]) ).
fof(f206,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,[],[f26]) ).
fof(f207,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,[],[f206]) ).
fof(f208,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,[],[f27]) ).
fof(f209,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,[],[f208]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f216]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f220]) ).
fof(f222,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,[],[f38]) ).
fof(f223,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,[],[f222]) ).
fof(f259,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f77]) ).
fof(f260,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f259]) ).
fof(f261,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,[],[f78]) ).
fof(f262,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,[],[f261]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f266,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,[],[f265]) ).
fof(f267,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f268,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f267]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f273]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f277]) ).
fof(f291,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f292,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f291]) ).
fof(f299,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,[],[f112]) ).
fof(f300,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,[],[f299]) ).
fof(f307,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,[],[f118]) ).
fof(f308,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,[],[f307]) ).
fof(f336,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,[],[f133]) ).
fof(f337,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,[],[f336]) ).
fof(f356,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,[],[f143]) ).
fof(f357,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,[],[f356]) ).
fof(f358,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f144]) ).
fof(f421,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,[],[f178]) ).
fof(f422,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,[],[f421]) ).
fof(f438,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK4
& rpoint(sK4)
& vd1288 = sK5
& rpoint(sK5)
& vd1287 = sK6
& rpoint(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f22]) ).
fof(f444,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,[],[f260]) ).
fof(f445,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,[],[f262]) ).
fof(f446,plain,
! [X0,X1] :
( ( ron(X1,sK7(X0,X1))
& ron(X0,sK7(X0,X1))
& rline(sK7(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f445]) ).
fof(f451,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( 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,[],[f266]) ).
fof(f452,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( 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,[],[f451]) ).
fof(f454,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f278]) ).
fof(f459,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,[],[f300]) ).
fof(f460,plain,
! [X0,X1] :
( ( ron(X1,sK14(X0,X1))
& rcenter(X0,sK14(X0,X1))
& rcircle(sK14(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f459]) ).
fof(f511,plain,
vangle(vd1302,vd1289,vd1288) != vangle(vd1329,vd1288,vd1289),
inference(cnf_transformation,[],[f187]) ).
fof(f516,plain,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
inference(cnf_transformation,[],[f7]) ).
fof(f518,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f9]) ).
fof(f531,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,[],[f199]) ).
fof(f532,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f14]) ).
fof(f533,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f15]) ).
fof(f534,plain,
~ rR(vd1287,vd1289,vd1302),
inference(cnf_transformation,[],[f16]) ).
fof(f536,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f18]) ).
fof(f537,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f19]) ).
fof(f538,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f20]) ).
fof(f539,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f20]) ).
fof(f540,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f20]) ).
fof(f541,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f20]) ).
fof(f542,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f21]) ).
fof(f543,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f438]) ).
fof(f544,plain,
vd1287 = sK6,
inference(cnf_transformation,[],[f438]) ).
fof(f545,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f438]) ).
fof(f546,plain,
vd1288 = sK5,
inference(cnf_transformation,[],[f438]) ).
fof(f547,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f438]) ).
fof(f548,plain,
vd1289 = sK4,
inference(cnf_transformation,[],[f438]) ).
fof(f551,plain,
vd1289 != vd1288,
inference(cnf_transformation,[],[f438]) ).
fof(f552,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f438]) ).
fof(f556,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f207]) ).
fof(f557,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f209]) ).
fof(f558,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f209]) ).
fof(f559,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f209]) ).
fof(f560,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f209]) ).
fof(f567,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f33]) ).
fof(f569,plain,
! [X2,X3,X0,X1] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f570,plain,
! [X2,X3,X0,X1] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f219]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f572,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,[],[f223]) ).
fof(f574,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f40]) ).
fof(f576,plain,
vd1302 != vd1287,
inference(cnf_transformation,[],[f42]) ).
fof(f613,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f444]) ).
fof(f614,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f444]) ).
fof(f615,plain,
! [X3,X0,X1,X4] :
( rline(sK7(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f446]) ).
fof(f616,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK7(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f446]) ).
fof(f617,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK7(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f446]) ).
fof(f618,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f79]) ).
fof(f619,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f80]) ).
fof(f622,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f83]) ).
fof(f624,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f85]) ).
fof(f626,plain,
rline(vd1297),
inference(cnf_transformation,[],[f87]) ).
fof(f627,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f88]) ).
fof(f629,plain,
rline(vd1295),
inference(cnf_transformation,[],[f90]) ).
fof(f646,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| 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,[],[f452]) ).
fof(f647,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ 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,[],[f452]) ).
fof(f648,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| v0 != vangle(X2,X0,X4)
| ~ 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,[],[f452]) ).
fof(f649,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f268]) ).
fof(f652,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f274]) ).
fof(f653,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f97]) ).
fof(f654,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f98]) ).
fof(f655,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f99]) ).
fof(f658,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f454]) ).
fof(f668,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f292]) ).
fof(f678,plain,
! [X3,X0,X1,X4] :
( rcircle(sK14(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f460]) ).
fof(f679,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK14(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f460]) ).
fof(f680,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK14(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f460]) ).
fof(f684,plain,
v0 = vd684,
inference(cnf_transformation,[],[f116]) ).
fof(f686,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,[],[f308]) ).
fof(f718,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f337]) ).
fof(f728,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,[],[f357]) ).
fof(f729,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f358]) ).
fof(f831,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,[],[f422]) ).
fof(f840,plain,
vangle(vd1303,sK4,sK5) != vangle(vd1329,sK5,sK4),
inference(definition_unfolding,[],[f511,f541,f548,f546,f546,f548]) ).
fof(f845,plain,
vf(vd1303,sK5) = vf(vd1329,sK4),
inference(definition_unfolding,[],[f516,f541,f546,f548]) ).
fof(f847,plain,
vangle(sK4,sK6,sK5) = vangle(vd1303,sK6,sK5),
inference(definition_unfolding,[],[f518,f548,f544,f546,f541,f544,f546]) ).
fof(f848,plain,
vangle(sK4,sK6,sK5) = vangle(sK4,sK6,vd1329),
inference(definition_unfolding,[],[f532,f548,f544,f546,f548,f544]) ).
fof(f849,plain,
~ rR(sK6,sK5,vd1329),
inference(definition_unfolding,[],[f533,f544,f546]) ).
fof(f850,plain,
~ rR(sK6,sK4,vd1303),
inference(definition_unfolding,[],[f534,f544,f548,f541]) ).
fof(f852,plain,
rR(sK4,sK6,vd1303),
inference(definition_unfolding,[],[f540,f548,f544,f541]) ).
fof(f853,plain,
rR(sK5,sK6,vd1300),
inference(definition_unfolding,[],[f538,f546,f544,f537]) ).
fof(f854,plain,
vf(sK6,sK5) = vf(sK6,sK4),
inference(definition_unfolding,[],[f552,f544,f546,f544,f548]) ).
fof(f855,plain,
sK4 != sK5,
inference(definition_unfolding,[],[f551,f548,f546]) ).
fof(f860,plain,
vd1329 != sK6,
inference(definition_unfolding,[],[f567,f544]) ).
fof(f862,plain,
sK4 != sK6,
inference(definition_unfolding,[],[f574,f548,f544]) ).
fof(f864,plain,
vd1303 != sK6,
inference(definition_unfolding,[],[f576,f541,f544]) ).
fof(f897,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f614,f684]) ).
fof(f898,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f613,f684]) ).
fof(f899,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f618,f546,f544]) ).
fof(f902,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f622,f541]) ).
fof(f904,plain,
ron(sK4,vd1297),
inference(definition_unfolding,[],[f624,f548]) ).
fof(f906,plain,
ron(sK5,vd1295),
inference(definition_unfolding,[],[f627,f546]) ).
fof(f908,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,[],[f648,f684]) ).
fof(f909,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,[],[f647,f684]) ).
fof(f910,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,[],[f646,f684]) ).
fof(f911,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f653,f537]) ).
fof(f912,plain,
ron(sK6,vd1297),
inference(definition_unfolding,[],[f654,f544]) ).
fof(f913,plain,
ron(sK6,vd1295),
inference(definition_unfolding,[],[f655,f544]) ).
fof(f990,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,[],[f531]) ).
fof(f991,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,[],[f990]) ).
fof(f992,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,[],[f991]) ).
fof(f993,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,[],[f992]) ).
fof(f994,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,[],[f993]) ).
fof(f995,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,[],[f994]) ).
fof(f996,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,[],[f995]) ).
fof(f1009,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X2,X1,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f556]) ).
fof(f1010,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,[],[f1009]) ).
fof(f1011,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,[],[f1010]) ).
fof(f1012,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,[],[f1011]) ).
fof(f1013,plain,
! [X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f560]) ).
fof(f1014,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1013]) ).
fof(f1015,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1014]) ).
fof(f1016,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X2,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f559]) ).
fof(f1017,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1016]) ).
fof(f1018,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1017]) ).
fof(f1019,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1018]) ).
fof(f1020,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f558]) ).
fof(f1021,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1020]) ).
fof(f1022,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1021]) ).
fof(f1023,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1022]) ).
fof(f1024,plain,
! [X3,X0,X1,X4,X5] :
( rR(X1,X3,X0)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f557]) ).
fof(f1025,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1024]) ).
fof(f1026,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1025]) ).
fof(f1043,plain,
! [X3,X0,X1] :
( vf(X3,vskolem1052(X0,X1,X3,X3)) = vf(vskolem1052(X0,X1,X3,X3),X0)
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f569]) ).
fof(f1044,plain,
! [X3,X1] :
( ~ rpoint(X3)
| X1 = X3
| vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1043]) ).
fof(f1045,plain,
! [X3,X0,X1] :
( vf(X0,X3) = vf(X3,vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f570]) ).
fof(f1046,plain,
! [X3,X1] :
( ~ rpoint(X3)
| X1 = X3
| vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1045]) ).
fof(f1047,plain,
! [X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f571]) ).
fof(f1048,plain,
! [X3,X1] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1047]) ).
fof(f1049,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,[],[f572]) ).
fof(f1050,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,[],[f1049]) ).
fof(f1051,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,[],[f1050]) ).
fof(f1073,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f897]) ).
fof(f1074,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1073]) ).
fof(f1075,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1074]) ).
fof(f1076,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f898]) ).
fof(f1077,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1076]) ).
fof(f1078,plain,
! [X3,X0,X4] :
( ron(X3,sK7(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f617]) ).
fof(f1079,plain,
! [X3,X4] :
( ron(X3,sK7(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1078]) ).
fof(f1080,plain,
! [X3,X0,X4] :
( ron(X0,sK7(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f616]) ).
fof(f1081,plain,
! [X3,X4] :
( ron(X4,sK7(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1080]) ).
fof(f1082,plain,
! [X3,X0,X4] :
( rline(sK7(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f615]) ).
fof(f1083,plain,
! [X3,X4] :
( rline(sK7(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1082]) ).
fof(f1118,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,[],[f908]) ).
fof(f1119,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,[],[f1118]) ).
fof(f1120,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,[],[f1119]) ).
fof(f1121,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,[],[f1120]) ).
fof(f1122,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,[],[f909]) ).
fof(f1123,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,[],[f1122]) ).
fof(f1124,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,[],[f1123]) ).
fof(f1125,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,[],[f1124]) ).
fof(f1126,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,[],[f910]) ).
fof(f1127,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,[],[f1126]) ).
fof(f1128,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,[],[f1127]) ).
fof(f1129,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,[],[f1128]) ).
fof(f1130,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f649]) ).
fof(f1131,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f1130]) ).
fof(f1139,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f652]) ).
fof(f1140,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1139]) ).
fof(f1141,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1140]) ).
fof(f1142,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1141]) ).
fof(f1149,plain,
! [X2,X3,X0,X1,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f658]) ).
fof(f1150,plain,
! [X2,X3,X1,X5] :
( vf(X2,X1) != vf(X2,X5)
| ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1149]) ).
fof(f1172,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f668]) ).
fof(f1173,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1172]) ).
fof(f1174,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1173]) ).
fof(f1175,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ron(X5,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1174]) ).
fof(f1196,plain,
! [X3,X0,X4] :
( ron(X3,sK14(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f680]) ).
fof(f1197,plain,
! [X3,X4] :
( ron(X3,sK14(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1196]) ).
fof(f1198,plain,
! [X3,X0,X4] :
( rcenter(X0,sK14(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f679]) ).
fof(f1199,plain,
! [X3,X4] :
( rcenter(X4,sK14(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1198]) ).
fof(f1200,plain,
! [X3,X0,X4] :
( rcircle(sK14(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f678]) ).
fof(f1201,plain,
! [X3,X4] :
( rcircle(sK14(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1200]) ).
fof(f1208,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,[],[f686]) ).
fof(f1209,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,[],[f1208]) ).
fof(f1210,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,[],[f1209]) ).
fof(f1211,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,[],[f1210]) ).
fof(f1317,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f718]) ).
fof(f1318,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,[],[f1317]) ).
fof(f1319,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,[],[f1318]) ).
fof(f1320,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,[],[f1319]) ).
fof(f1321,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,[],[f1320]) ).
fof(f1366,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,[],[f728]) ).
fof(f1367,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,[],[f1366]) ).
fof(f1368,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,[],[f1367]) ).
fof(f1369,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,[],[f1368]) ).
fof(f1650,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,[],[f831]) ).
fof(f1651,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,[],[f1650]) ).
fof(f1688,definition,
sF52 = vangle(vd1303,sK4,sK5),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1689,plain,
vangle(vd1303,sK4,sK5) = sF52,
inference(reorient_equations,[],[f1688]) ).
fof(f1690,definition,
sF53 = vangle(vd1329,sK5,sK4),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1691,plain,
vangle(vd1329,sK5,sK4) = sF53,
inference(reorient_equations,[],[f1690]) ).
fof(f1692,plain,
sF52 != sF53,
inference(definition_folding,[],[f840,f1691,f1689]) ).
fof(f1693,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f1075]) ).
fof(f1694,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f1023]) ).
fof(f1695,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1019]) ).
fof(f1778,definition,
( spl54_20
<=> vd1300 = sK6 ),
introduced(definition,[new_symbols(definition,[spl54_20])],[avatar_definition]) ).
fof(f1779,plain,
( vd1300 = sK6
| ~ spl54_20 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1780,plain,
( vd1300 != sK6
| spl54_20 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1784,definition,
( spl54_21
<=> sK4 = sK6 ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f1786,plain,
( sK4 != sK6
| spl54_21 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1861,plain,
~ spl54_21,
inference(avatar_split_clause,[],[f862,f1784]) ).
fof(f1862,plain,
( rR(sK4,vd1303,sK6)
| ~ rpoint(vd1303)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(resolution,[],[f1026,f852]) ).
fof(f1863,plain,
( rR(sK5,vd1300,sK6)
| ~ rpoint(vd1300)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(resolution,[],[f1026,f853]) ).
fof(f1864,plain,
( rR(sK5,vd1300,sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1863,f542]) ).
fof(f1865,plain,
( rR(sK4,vd1303,sK6)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1862,f539]) ).
fof(f1866,plain,
( rR(sK5,vd1300,sK6)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1864,f545]) ).
fof(f1867,plain,
( rR(sK4,vd1303,sK6)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1865,f547]) ).
fof(f1868,plain,
rR(sK5,vd1300,sK6),
inference(forward_subsumption_resolution,[],[f1866,f543]) ).
fof(f1869,plain,
rR(sK4,vd1303,sK6),
inference(forward_subsumption_resolution,[],[f1867,f543]) ).
fof(f1876,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK5,X0,X1)
| rR(sK5,X2,X3)
| sK5 = X1
| sK5 = X3
| sK5 = X0
| sK5 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK5,X1) = vangle(X2,sK5,X0)
| ~ rline(X4)
| ~ rline(vd1295)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK5) ),
inference(resolution,[],[f996,f906]) ).
fof(f1877,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK6,X0,X1)
| rR(sK6,X2,X3)
| sK6 = X1
| sK6 = X3
| sK6 = X0
| sK6 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK6,X1) = vangle(X2,sK6,X0)
| ~ rline(X4)
| ~ rline(vd1295)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK6) ),
inference(resolution,[],[f996,f913]) ).
fof(f1878,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK4,X0,X1)
| rR(sK4,X2,X3)
| sK4 = X1
| sK4 = X3
| sK4 = X0
| sK4 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK4,X1) = vangle(X2,sK4,X0)
| ~ rline(X4)
| ~ rline(vd1297)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK4) ),
inference(resolution,[],[f996,f904]) ).
fof(f1879,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK6,X0,X1)
| rR(sK6,X2,X3)
| sK6 = X1
| sK6 = X3
| sK6 = X0
| sK6 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK6,X1) = vangle(X2,sK6,X0)
| ~ rline(X4)
| ~ rline(vd1297)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK6) ),
inference(resolution,[],[f912,f996]) ).
fof(f1888,plain,
vd684 = vf(vd1303,vd1303),
inference(resolution,[],[f1693,f539]) ).
fof(f1890,plain,
vd684 = vf(sK5,sK5),
inference(resolution,[],[f1693,f545]) ).
fof(f1891,plain,
vd684 = vf(sK6,sK6),
inference(resolution,[],[f1693,f543]) ).
fof(f1892,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| vd684 = vangle(X1,X0,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| ~ rline(vd1295)
| ~ rpoint(vd1329)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1129,f619]) ).
fof(f1902,plain,
( ~ rR(vd1303,sK4,sK6)
| ~ rpoint(sK6)
| ~ rpoint(vd1303)
| ~ rpoint(sK4) ),
inference(resolution,[],[f1015,f1869]) ).
fof(f1907,plain,
( ~ rR(vd1303,sK4,sK6)
| ~ rpoint(vd1303)
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f1902,f543]) ).
fof(f1912,plain,
( ~ rR(vd1303,sK4,sK6)
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f1907,f539]) ).
fof(f1917,plain,
~ rR(vd1303,sK4,sK6),
inference(forward_subsumption_resolution,[],[f1912,f547]) ).
fof(f1924,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK4 = X1
| ~ rpoint(X0)
| sK4 = X0
| vangle(X0,X1,sK4) = vangle(sK4,X1,X0) ),
inference(resolution,[],[f1051,f547]) ).
fof(f1925,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK5 = X1
| ~ rpoint(X0)
| sK5 = X0
| vangle(X0,X1,sK5) = vangle(sK5,X1,X0) ),
inference(resolution,[],[f1051,f545]) ).
fof(f1927,plain,
! [X0] :
( ~ rR(X0,sK6,sK4)
| rR(X0,sK6,vd1303)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(resolution,[],[f1211,f852]) ).
fof(f1931,plain,
! [X0] :
( ~ rR(X0,vd1300,sK5)
| rR(X0,vd1300,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f1211,f1868]) ).
fof(f1934,plain,
! [X0] :
( ~ rR(X0,vd1300,sK5)
| rR(X0,vd1300,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1931,f543]) ).
fof(f1938,plain,
! [X0] :
( ~ rR(X0,sK6,sK4)
| rR(X0,sK6,vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1927,f539]) ).
fof(f1940,plain,
! [X0] :
( ~ rR(X0,vd1300,sK5)
| rR(X0,vd1300,sK6)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1934,f545]) ).
fof(f1944,plain,
! [X0] :
( ~ rR(X0,sK6,sK4)
| rR(X0,sK6,vd1303)
| ~ rpoint(X0)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1938,f547]) ).
fof(f1946,plain,
! [X0] :
( ~ rR(X0,vd1300,sK5)
| rR(X0,vd1300,sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1940,f542]) ).
fof(f1950,plain,
! [X0] :
( ~ rR(X0,sK6,sK4)
| rR(X0,sK6,vd1303)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1944,f543]) ).
fof(f1955,plain,
! [X0] :
( ~ rR(sK6,sK5,X0)
| rR(sK5,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f1012,f1868]) ).
fof(f1958,plain,
! [X0] :
( ~ rR(sK6,sK5,X0)
| rR(sK5,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1955,f543]) ).
fof(f1964,plain,
! [X0] :
( ~ rR(sK6,sK5,X0)
| rR(sK5,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1958,f545]) ).
fof(f1970,plain,
! [X0] :
( ~ rR(sK6,sK5,X0)
| rR(sK5,vd1300,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1964,f542]) ).
fof(f1975,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1329,X0) = vf(X0,vd1329) ),
inference(resolution,[],[f1131,f536]) ).
fof(f1979,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK5,X0) = vf(X0,sK5) ),
inference(resolution,[],[f1131,f545]) ).
fof(f1980,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = vf(X0,sK6) ),
inference(resolution,[],[f1131,f543]) ).
fof(f1981,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK7(X1,X0))
| ~ ron(X2,sK7(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK7(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1079,f1129]) ).
fof(f1984,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK7(X1,X0))
| ~ ron(X2,sK7(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK7(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1981]) ).
fof(f1986,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK7(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| X0 = X1
| ~ ron(X2,sK7(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1984,f1083]) ).
fof(f1987,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK7(X1,X0))
| X0 = X2
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1986,f1079]) ).
fof(f1988,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK7(X1,X0))
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1987]) ).
fof(f1989,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK7(X1,X0))
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1988,f1695]) ).
fof(f1992,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,[],[f1081,f1989]) ).
fof(f1995,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,sK7(X1,X0))
| ~ ron(X4,sK7(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK7(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f1081,f996]) ).
fof(f1996,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,sK7(X1,X0))
| ~ ron(X4,sK7(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK7(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1995]) ).
fof(f1999,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1992]) ).
fof(f2000,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK7(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,sK7(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f1996,f1083]) ).
fof(f2005,plain,
! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| vd684 = vangle(X0,sK4,X0) ),
inference(resolution,[],[f1999,f547]) ).
fof(f2006,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vd684 = vangle(X0,sK5,X0) ),
inference(resolution,[],[f1999,f545]) ).
fof(f2007,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vd684 = vangle(X0,sK6,X0) ),
inference(resolution,[],[f1999,f543]) ).
fof(f2050,plain,
vf(vd1329,sK4) = vf(sK4,vd1329),
inference(resolution,[],[f1975,f547]) ).
fof(f2055,plain,
vf(vd1303,sK5) = vf(sK4,vd1329),
inference(forward_demodulation,[],[f2050,f845]) ).
fof(f2056,plain,
( vd684 != vf(sK6,sK4)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(superposition,[],[f1077,f854]) ).
fof(f2057,plain,
( vd684 != vf(sK6,sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f2056,f899]) ).
fof(f2058,plain,
( vd684 != vf(sK6,sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f2057,f545]) ).
fof(f2059,plain,
vd684 != vf(sK6,sK4),
inference(forward_subsumption_resolution,[],[f2058,f543]) ).
fof(f2060,plain,
( vd1329 = sK6
| vd684 = vangle(vd1329,sK6,vd1329) ),
inference(resolution,[],[f2007,f536]) ).
fof(f2064,plain,
( sK5 = sK6
| vd684 = vangle(sK5,sK6,sK5) ),
inference(resolution,[],[f2007,f545]) ).
fof(f2066,plain,
vd684 = vangle(sK5,sK6,sK5),
inference(forward_subsumption_resolution,[],[f2064,f899]) ).
fof(f2074,plain,
vd684 = vangle(vd1329,sK6,vd1329),
inference(forward_subsumption_resolution,[],[f2060,f860]) ).
fof(f2080,plain,
( rR(sK5,sK6,sK6)
| ~ spl54_20 ),
inference(superposition,[],[f1868,f1779]) ).
fof(f2088,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ spl54_20 ),
inference(resolution,[],[f2080,f1695]) ).
fof(f2093,plain,
( ~ rpoint(sK5)
| ~ spl54_20 ),
inference(forward_subsumption_resolution,[],[f2088,f543]) ).
fof(f2096,plain,
( $false
| ~ spl54_20 ),
inference(forward_subsumption_resolution,[],[f2093,f545]) ).
fof(f2097,plain,
~ spl54_20,
inference(avatar_contradiction_clause,[],[f2096]) ).
fof(f2114,plain,
! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(superposition,[],[f1121,f847]) ).
fof(f2119,plain,
( vd1303 = sK4
| vd684 = vangle(vd1303,sK4,vd1303) ),
inference(resolution,[],[f2005,f539]) ).
fof(f2122,plain,
( sK4 = sK6
| vd684 = vangle(sK6,sK4,sK6) ),
inference(resolution,[],[f2005,f543]) ).
fof(f2123,plain,
( vd684 = vangle(sK6,sK4,sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2122,f1786]) ).
fof(f2126,definition,
( spl54_39
<=> vd684 = vangle(vd1303,sK4,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_39])],[avatar_definition]) ).
fof(f2128,plain,
( vd684 = vangle(vd1303,sK4,vd1303)
| ~ spl54_39 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2130,definition,
( spl54_40
<=> vd1303 = sK4 ),
introduced(definition,[new_symbols(definition,[spl54_40])],[avatar_definition]) ).
fof(f2132,plain,
( vd1303 = sK4
| ~ spl54_40 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2133,plain,
( spl54_39
| spl54_40 ),
inference(avatar_split_clause,[],[f2119,f2130,f2126]) ).
fof(f2148,definition,
( spl54_44
<=> vd1329 = sK4 ),
introduced(definition,[new_symbols(definition,[spl54_44])],[avatar_definition]) ).
fof(f2149,plain,
( vd1329 != sK4
| spl54_44 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f2150,plain,
( vd1329 = sK4
| ~ spl54_44 ),
inference(avatar_component_clause,[],[f2148]) ).
fof(f2208,plain,
( sF53 = vangle(sK4,sK5,sK4)
| ~ spl54_44 ),
inference(superposition,[],[f1691,f2150]) ).
fof(f2231,plain,
( sK4 = sK5
| vd684 = vangle(sK4,sK5,sK4) ),
inference(resolution,[],[f2006,f547]) ).
fof(f2233,plain,
( sK5 = sK6
| vd684 = vangle(sK6,sK5,sK6) ),
inference(resolution,[],[f2006,f543]) ).
fof(f2234,plain,
vd684 = vangle(sK6,sK5,sK6),
inference(forward_subsumption_resolution,[],[f2233,f899]) ).
fof(f2235,plain,
vd684 = vangle(sK4,sK5,sK4),
inference(forward_subsumption_resolution,[],[f2231,f855]) ).
fof(f2241,definition,
( spl54_50
<=> vd1303 = sK5 ),
introduced(definition,[new_symbols(definition,[spl54_50])],[avatar_definition]) ).
fof(f2242,plain,
( vd1303 != sK5
| spl54_50 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f2243,plain,
( vd1303 = sK5
| ~ spl54_50 ),
inference(avatar_component_clause,[],[f2241]) ).
fof(f2255,plain,
( vd684 = sF53
| ~ spl54_44 ),
inference(forward_demodulation,[],[f2235,f2208]) ).
fof(f2263,plain,
( vd684 != sF52
| ~ spl54_44 ),
inference(superposition,[],[f1692,f2255]) ).
fof(f2275,plain,
( vd684 != vf(vd1303,sK5)
| vd1329 = sK4
| ~ rpoint(vd1329)
| ~ rpoint(sK4) ),
inference(superposition,[],[f1077,f2055]) ).
fof(f2313,plain,
! [X0] :
( ~ rR(sK4,vd1303,X0)
| ~ rR(sK4,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f1369,f1869]) ).
fof(f2314,plain,
! [X0] :
( ~ rR(sK5,vd1300,X0)
| ~ rR(sK5,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(vd1300) ),
inference(resolution,[],[f1369,f1868]) ).
fof(f2317,plain,
! [X0] :
( ~ rR(sK5,vd1300,X0)
| ~ rR(sK5,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f2314,f543]) ).
fof(f2318,plain,
! [X0] :
( ~ rR(sK4,vd1303,X0)
| ~ rR(sK4,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2313,f543]) ).
fof(f2323,plain,
! [X0] :
( ~ rR(sK5,vd1300,X0)
| ~ rR(sK5,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f2317,f545]) ).
fof(f2324,plain,
! [X0] :
( ~ rR(sK4,vd1303,X0)
| ~ rR(sK4,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f2318,f547]) ).
fof(f2329,plain,
! [X0] :
( ~ rR(sK5,sK6,X0)
| ~ rR(sK5,vd1300,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2323,f542]) ).
fof(f2330,plain,
! [X0] :
( ~ rR(sK4,sK6,X0)
| ~ rR(sK4,vd1303,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2324,f539]) ).
fof(f2382,plain,
vf(sK6,sK5) = vf(sK5,sK6),
inference(resolution,[],[f1979,f543]) ).
fof(f2383,plain,
vf(sK6,sK4) = vf(sK5,sK6),
inference(forward_demodulation,[],[f2382,f854]) ).
fof(f2424,plain,
( sF52 = vangle(vd1303,sK4,vd1303)
| ~ spl54_50 ),
inference(superposition,[],[f1689,f2243]) ).
fof(f2435,plain,
( vd684 = sF52
| ~ spl54_39
| ~ spl54_50 ),
inference(forward_demodulation,[],[f2424,f2128]) ).
fof(f2442,plain,
( $false
| ~ spl54_39
| ~ spl54_44
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f2435,f2263]) ).
fof(f2443,plain,
( ~ spl54_39
| ~ spl54_44
| ~ spl54_50 ),
inference(avatar_contradiction_clause,[],[f2442]) ).
fof(f2449,plain,
( vd684 != vf(vd1303,sK5)
| vd1329 = sK4
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f2275,f536]) ).
fof(f2465,plain,
( vd684 != vf(vd1303,sK5)
| vd1329 = sK4 ),
inference(forward_subsumption_resolution,[],[f2449,f547]) ).
fof(f2473,plain,
( vd684 != vf(vd1303,vd1303)
| vd1329 = sK4
| ~ spl54_50 ),
inference(forward_demodulation,[],[f2465,f2243]) ).
fof(f2476,plain,
( vd1329 = sK4
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f2473,f1888]) ).
fof(f2502,plain,
( rR(vd1303,vd1303,sK6)
| ~ spl54_40 ),
inference(superposition,[],[f1869,f2132]) ).
fof(f2503,plain,
( ~ rR(vd1303,vd1303,sK6)
| ~ spl54_40 ),
inference(superposition,[],[f1917,f2132]) ).
fof(f2513,plain,
( $false
| ~ spl54_40 ),
inference(forward_subsumption_resolution,[],[f2502,f2503]) ).
fof(f2514,plain,
~ spl54_40,
inference(avatar_contradiction_clause,[],[f2513]) ).
fof(f2588,plain,
! [X2,X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| X1 = X2
| ~ ron(X0,X2)
| ~ ron(sK5,X1)
| ~ rcenter(sK6,X2)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0)
| ~ rpoint(sK5) ),
inference(superposition,[],[f1651,f854]) ).
fof(f2590,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ ron(X2,X1)
| ~ ron(X2,X0)
| ~ rcenter(X3,X1)
| ~ rcenter(X3,X0)
| ~ rpoint(X2)
| ~ rpoint(X2) ),
inference(equality_resolution,[],[f1651]) ).
fof(f2591,plain,
! [X2,X3,X0,X1] :
( ~ rcenter(X3,X1)
| ~ ron(X2,X1)
| ~ ron(X2,X0)
| X0 = X1
| ~ rcenter(X3,X0)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2590]) ).
fof(f2593,plain,
! [X2,X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| X1 = X2
| ~ ron(X0,X2)
| ~ ron(sK5,X1)
| ~ rcenter(sK6,X2)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2588,f545]) ).
fof(f2608,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK14(X1,X2))
| ~ ron(X0,X3)
| sK14(X1,X2) = X3
| ~ rcenter(X1,X3)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f2591,f1199]) ).
fof(f2702,plain,
! [X0] :
( sK4 = sK6
| ~ rpoint(X0)
| sK4 = X0
| vangle(X0,sK6,sK4) = vangle(sK4,sK6,X0) ),
inference(resolution,[],[f1924,f543]) ).
fof(f2703,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK4 = X0
| vangle(X0,sK6,sK4) = vangle(sK4,sK6,X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2702,f1786]) ).
fof(f2734,plain,
( sK4 = sK5
| vangle(sK4,sK6,sK5) = vangle(sK5,sK6,sK4)
| spl54_21 ),
inference(resolution,[],[f2703,f545]) ).
fof(f2737,plain,
( vangle(sK4,sK6,sK5) = vangle(sK5,sK6,sK4)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2734,f855]) ).
fof(f2745,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK4)
| spl54_21 ),
inference(forward_demodulation,[],[f2737,f847]) ).
fof(f2748,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(superposition,[],[f1125,f2745]) ).
fof(f2749,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK5,sK4)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(superposition,[],[f1121,f2745]) ).
fof(f2758,plain,
! [X0] :
( sK5 = sK6
| ~ rpoint(X0)
| sK5 = X0
| vangle(X0,sK6,sK5) = vangle(sK5,sK6,X0) ),
inference(resolution,[],[f1925,f543]) ).
fof(f2759,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vangle(X0,sK6,sK5) = vangle(sK5,sK6,X0) ),
inference(forward_subsumption_resolution,[],[f2758,f899]) ).
fof(f2769,plain,
( vd1303 = sK5
| vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,vd1303) ),
inference(resolution,[],[f2759,f539]) ).
fof(f2776,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,vd1303)
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f2769,f2242]) ).
fof(f3060,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK5) = vf(sK5,vskolem1052(X0,X0,sK5,sK5))
| sK5 = X0 ),
inference(resolution,[],[f1046,f545]) ).
fof(f3061,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK6) = vf(sK6,vskolem1052(X0,X0,sK6,sK6))
| sK6 = X0 ),
inference(resolution,[],[f1046,f543]) ).
fof(f3278,plain,
! [X0,X1] :
( X0 = X1
| ~ ron(sK4,X1)
| ~ ron(sK5,X0)
| ~ rcenter(sK6,X1)
| ~ rcenter(sK6,X0)
| ~ rpoint(sK4) ),
inference(equality_resolution,[],[f2593]) ).
fof(f3280,plain,
! [X0,X1] :
( ~ rcenter(sK6,X1)
| ~ ron(sK4,X1)
| ~ ron(sK5,X0)
| X0 = X1
| ~ rcenter(sK6,X0) ),
inference(forward_subsumption_resolution,[],[f3278,f547]) ).
fof(f3291,plain,
! [X0,X1] :
( ~ ron(sK4,sK14(sK6,X0))
| ~ ron(sK5,X1)
| sK14(sK6,X0) = X1
| ~ rcenter(sK6,X1)
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) ),
inference(resolution,[],[f3280,f1199]) ).
fof(f3292,plain,
! [X0,X1] :
( ~ ron(sK4,sK14(sK6,X0))
| ~ ron(sK5,X1)
| sK14(sK6,X0) = X1
| ~ rcenter(sK6,X1)
| sK6 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3291,f543]) ).
fof(f3293,plain,
! [X0] :
( ~ ron(sK5,X0)
| sK14(sK6,sK4) = X0
| ~ rcenter(sK6,X0)
| sK4 = sK6
| ~ rpoint(sK4)
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(resolution,[],[f3292,f1197]) ).
fof(f3294,plain,
! [X0] :
( ~ ron(sK5,X0)
| sK14(sK6,sK4) = X0
| ~ rcenter(sK6,X0)
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(duplicate_literal_removal,[],[f3293]) ).
fof(f3295,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| sK14(sK6,sK4) = X0
| ~ rcenter(sK6,X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3294,f1786]) ).
fof(f3296,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| sK14(sK6,sK4) = X0
| ~ rcenter(sK6,X0)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3295,f547]) ).
fof(f3297,plain,
( ! [X0] :
( ~ rcenter(sK6,X0)
| sK14(sK6,sK4) = X0
| ~ ron(sK5,X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3296,f543]) ).
fof(f3298,plain,
( ! [X0] :
( sK14(sK6,X0) = sK14(sK6,sK4)
| ~ ron(sK5,sK14(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(resolution,[],[f3297,f1199]) ).
fof(f3299,plain,
( ! [X0] :
( ~ ron(sK5,sK14(sK6,X0))
| sK14(sK6,X0) = sK14(sK6,sK4)
| sK6 = X0
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3298,f543]) ).
fof(f3300,plain,
( sK14(sK6,sK4) = sK14(sK6,sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(resolution,[],[f3299,f1197]) ).
fof(f3301,plain,
( sK14(sK6,sK4) = sK14(sK6,sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(duplicate_literal_removal,[],[f3300]) ).
fof(f3302,plain,
( sK14(sK6,sK4) = sK14(sK6,sK5)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3301,f899]) ).
fof(f3303,plain,
( sK14(sK6,sK4) = sK14(sK6,sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3302,f545]) ).
fof(f3304,plain,
( sK14(sK6,sK4) = sK14(sK6,sK5)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3303,f543]) ).
fof(f3306,plain,
( ron(sK5,sK14(sK6,sK4))
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(superposition,[],[f1197,f3304]) ).
fof(f3307,plain,
( rcenter(sK6,sK14(sK6,sK4))
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(superposition,[],[f1199,f3304]) ).
fof(f3308,plain,
( rcenter(sK6,sK14(sK6,sK4))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3307,f899]) ).
fof(f3309,plain,
( ron(sK5,sK14(sK6,sK4))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3306,f899]) ).
fof(f3310,plain,
( rcenter(sK6,sK14(sK6,sK4))
| ~ rpoint(sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3308,f545]) ).
fof(f3311,plain,
( ron(sK5,sK14(sK6,sK4))
| ~ rpoint(sK6)
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3309,f545]) ).
fof(f3312,plain,
( rcenter(sK6,sK14(sK6,sK4))
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3310,f543]) ).
fof(f3313,plain,
( ron(sK5,sK14(sK6,sK4))
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3311,f543]) ).
fof(f3387,plain,
! [X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ron(X0,X1)
| ~ ron(sK5,X1)
| ~ rpoint(sK5)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f1150,f854]) ).
fof(f3400,plain,
! [X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ron(X0,X1)
| ~ ron(sK5,X1)
| ~ rcenter(sK6,X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3387,f545]) ).
fof(f3472,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK5,vskolem1052(X0,X0,sK5,sK5)) = vf(vskolem1052(X0,X0,sK5,sK5),X0)
| sK5 = X0 ),
inference(resolution,[],[f1044,f545]) ).
fof(f3638,plain,
( vf(sK5,sK6) = vf(sK6,vskolem1052(sK5,sK5,sK6,sK6))
| sK5 = sK6 ),
inference(resolution,[],[f3061,f545]) ).
fof(f3640,plain,
vf(sK5,sK6) = vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_subsumption_resolution,[],[f3638,f899]) ).
fof(f3645,plain,
vf(sK6,sK4) = vf(sK6,vskolem1052(sK5,sK5,sK6,sK6)),
inference(forward_demodulation,[],[f3640,f2383]) ).
fof(f3658,plain,
! [X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ron(X0,X1)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X1)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rcenter(sK6,X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f1150,f3645]) ).
fof(f3659,plain,
! [X2,X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| X1 = X2
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X2)
| ~ ron(X0,X1)
| ~ rcenter(sK6,X2)
| ~ rcenter(sK6,X1)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rpoint(X0) ),
inference(superposition,[],[f1651,f3645]) ).
fof(f3665,definition,
( spl54_93
<=> rpoint(vskolem1052(sK5,sK5,sK6,sK6)) ),
introduced(definition,[new_symbols(definition,[spl54_93])],[avatar_definition]) ).
fof(f3666,plain,
( rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ spl54_93 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f3667,plain,
( ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| spl54_93 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f3669,definition,
( spl54_94
<=> ! [X2,X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ~ rpoint(X0)
| ~ rcenter(sK6,X1)
| ~ rcenter(sK6,X2)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X1)
| ~ ron(X0,X2)
| X1 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl54_94])],[avatar_definition]) ).
fof(f3670,plain,
( ! [X2,X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ~ rpoint(X0)
| ~ rcenter(sK6,X1)
| ~ rcenter(sK6,X2)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X1)
| ~ ron(X0,X2)
| X1 = X2 )
| ~ spl54_94 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f3672,plain,
( ~ spl54_93
| spl54_94 ),
inference(avatar_split_clause,[],[f3659,f3669,f3665]) ).
fof(f3674,definition,
( spl54_95
<=> ! [X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ~ rpoint(X0)
| ~ rcenter(sK6,X1)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X1)
| ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_95])],[avatar_definition]) ).
fof(f3675,plain,
( ! [X0,X1] :
( vf(sK6,sK4) != vf(sK6,X0)
| ~ rpoint(X0)
| ~ rcenter(sK6,X1)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X1)
| ron(X0,X1) )
| ~ spl54_95 ),
inference(avatar_component_clause,[],[f3674]) ).
fof(f3676,plain,
( ~ spl54_93
| spl54_95 ),
inference(avatar_split_clause,[],[f3658,f3674,f3665]) ).
fof(f3689,definition,
( spl54_98
<=> sK6 = vskolem1052(sK5,sK5,sK6,sK6) ),
introduced(definition,[new_symbols(definition,[spl54_98])],[avatar_definition]) ).
fof(f3690,plain,
( sK6 != vskolem1052(sK5,sK5,sK6,sK6)
| spl54_98 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f3691,plain,
( sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ spl54_98 ),
inference(avatar_component_clause,[],[f3689]) ).
fof(f3700,plain,
( sK5 = sK6
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| spl54_93 ),
inference(resolution,[],[f3667,f1048]) ).
fof(f3701,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| spl54_93 ),
inference(forward_subsumption_resolution,[],[f3700,f899]) ).
fof(f3702,plain,
( ~ rpoint(sK5)
| spl54_93 ),
inference(forward_subsumption_resolution,[],[f3701,f543]) ).
fof(f3703,plain,
( $false
| spl54_93 ),
inference(forward_subsumption_resolution,[],[f3702,f545]) ).
fof(f3704,plain,
spl54_93,
inference(avatar_contradiction_clause,[],[f3703]) ).
fof(f3705,plain,
( vf(sK6,sK4) = vf(sK6,sK6)
| ~ spl54_98 ),
inference(superposition,[],[f3645,f3691]) ).
fof(f3707,plain,
( vd684 = vf(sK6,sK4)
| ~ spl54_98 ),
inference(forward_demodulation,[],[f3705,f1891]) ).
fof(f3708,plain,
( $false
| ~ spl54_98 ),
inference(forward_subsumption_resolution,[],[f3707,f2059]) ).
fof(f3709,plain,
~ spl54_98,
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3867,plain,
! [X0] :
( ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ rcenter(sK6,X0)
| ~ rpoint(sK4) ),
inference(equality_resolution,[],[f3400]) ).
fof(f3869,plain,
! [X0] :
( ~ rcenter(sK6,X0)
| ~ ron(sK5,X0)
| ron(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f3867,f547]) ).
fof(f3874,plain,
( ~ ron(sK5,sK14(sK6,sK4))
| ron(sK4,sK14(sK6,sK4))
| spl54_21 ),
inference(resolution,[],[f3869,f3312]) ).
fof(f3877,plain,
( ron(sK4,sK14(sK6,sK4))
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f3874,f3313]) ).
fof(f3893,plain,
! [X0,X1] :
( rinside(X0,sK14(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f729,f1199]) ).
fof(f3896,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK14(X0,X1))
| ~ ron(X3,sK14(X0,X1))
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rcircle(sK14(X0,X1))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f3893,f1321]) ).
fof(f3898,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK14(X0,X1))
| ~ ron(X3,sK14(X0,X1))
| rR(X0,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rcircle(sK14(X0,X1))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f3896]) ).
fof(f3899,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK14(X0,X1))
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ ron(X2,sK14(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,[],[f3898,f1201]) ).
fof(f3914,plain,
( ! [X0,X1] :
( ~ rpoint(sK4)
| ~ rcenter(sK6,X0)
| ~ rcenter(sK6,X1)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X0)
| ~ ron(sK4,X1)
| X0 = X1 )
| ~ spl54_94 ),
inference(equality_resolution,[],[f3670]) ).
fof(f3917,plain,
( ! [X0,X1] :
( ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X0)
| ~ rcenter(sK6,X1)
| ~ rcenter(sK6,X0)
| ~ ron(sK4,X1)
| X0 = X1 )
| ~ spl54_94 ),
inference(forward_subsumption_resolution,[],[f3914,f547]) ).
fof(f5180,plain,
( vf(sK6,sK5) = vf(sK5,vskolem1052(sK6,sK6,sK5,sK5))
| sK5 = sK6 ),
inference(resolution,[],[f3060,f543]) ).
fof(f5181,plain,
vf(sK6,sK5) = vf(sK5,vskolem1052(sK6,sK6,sK5,sK5)),
inference(forward_subsumption_resolution,[],[f5180,f899]) ).
fof(f5189,plain,
vf(sK6,sK4) = vf(sK5,vskolem1052(sK6,sK6,sK5,sK5)),
inference(forward_demodulation,[],[f5181,f854]) ).
fof(f5202,plain,
! [X0,X1] :
( vf(sK6,sK4) != vf(sK5,X0)
| ron(X0,X1)
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X1)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rcenter(sK5,X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f1150,f5189]) ).
fof(f5209,definition,
( spl54_224
<=> rpoint(vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_224])],[avatar_definition]) ).
fof(f5210,plain,
( rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_224 ),
inference(avatar_component_clause,[],[f5209]) ).
fof(f5211,plain,
( ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| spl54_224 ),
inference(avatar_component_clause,[],[f5209]) ).
fof(f5218,definition,
( spl54_226
<=> ! [X0,X1] :
( vf(sK6,sK4) != vf(sK5,X0)
| ~ rpoint(X0)
| ~ rcenter(sK5,X1)
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X1)
| ron(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_226])],[avatar_definition]) ).
fof(f5219,plain,
( ! [X0,X1] :
( vf(sK6,sK4) != vf(sK5,X0)
| ~ rpoint(X0)
| ~ rcenter(sK5,X1)
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X1)
| ron(X0,X1) )
| ~ spl54_226 ),
inference(avatar_component_clause,[],[f5218]) ).
fof(f5220,plain,
( ~ spl54_224
| spl54_226 ),
inference(avatar_split_clause,[],[f5202,f5218,f5209]) ).
fof(f5228,definition,
( spl54_228
<=> sK5 = vskolem1052(sK6,sK6,sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_228])],[avatar_definition]) ).
fof(f5229,plain,
( sK5 != vskolem1052(sK6,sK6,sK5,sK5)
| spl54_228 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5230,plain,
( sK5 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_228 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5239,plain,
( sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_224 ),
inference(resolution,[],[f5211,f1048]) ).
fof(f5240,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_224 ),
inference(forward_subsumption_resolution,[],[f5239,f899]) ).
fof(f5241,plain,
( ~ rpoint(sK6)
| spl54_224 ),
inference(forward_subsumption_resolution,[],[f5240,f545]) ).
fof(f5242,plain,
( $false
| spl54_224 ),
inference(forward_subsumption_resolution,[],[f5241,f543]) ).
fof(f5243,plain,
spl54_224,
inference(avatar_contradiction_clause,[],[f5242]) ).
fof(f5259,plain,
( vf(sK6,vskolem1052(sK6,sK6,sK5,sK5)) = vf(vskolem1052(sK6,sK6,sK5,sK5),sK6)
| ~ spl54_224 ),
inference(resolution,[],[f5210,f1980]) ).
fof(f5289,definition,
( spl54_231
<=> sK6 = vskolem1052(sK6,sK6,sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_231])],[avatar_definition]) ).
fof(f5290,plain,
( sK6 != vskolem1052(sK6,sK6,sK5,sK5)
| spl54_231 ),
inference(avatar_component_clause,[],[f5289]) ).
fof(f5291,plain,
( sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_231 ),
inference(avatar_component_clause,[],[f5289]) ).
fof(f5302,definition,
( spl54_234
<=> vd1329 = vskolem1052(sK6,sK6,sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_234])],[avatar_definition]) ).
fof(f5303,plain,
( vd1329 != vskolem1052(sK6,sK6,sK5,sK5)
| spl54_234 ),
inference(avatar_component_clause,[],[f5302]) ).
fof(f5304,plain,
( vd1329 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_234 ),
inference(avatar_component_clause,[],[f5302]) ).
fof(f5322,definition,
( spl54_238
<=> sK4 = vskolem1052(sK6,sK6,sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_238])],[avatar_definition]) ).
fof(f5323,plain,
( sK4 != vskolem1052(sK6,sK6,sK5,sK5)
| spl54_238 ),
inference(avatar_component_clause,[],[f5322]) ).
fof(f5324,plain,
( sK4 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_238 ),
inference(avatar_component_clause,[],[f5322]) ).
fof(f6128,plain,
( vf(sK5,vskolem1052(sK6,sK6,sK5,sK5)) = vf(vskolem1052(sK6,sK6,sK5,sK5),sK6)
| sK5 = sK6 ),
inference(resolution,[],[f3472,f543]) ).
fof(f6129,plain,
vf(sK5,vskolem1052(sK6,sK6,sK5,sK5)) = vf(vskolem1052(sK6,sK6,sK5,sK5),sK6),
inference(forward_subsumption_resolution,[],[f6128,f899]) ).
fof(f6138,plain,
( vf(sK5,vskolem1052(sK6,sK6,sK5,sK5)) = vf(sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_224 ),
inference(forward_demodulation,[],[f6129,f5259]) ).
fof(f7245,plain,
( ! [X0,X1] :
( ~ rcenter(sK6,X0)
| ~ rcenter(sK6,sK14(X1,vskolem1052(sK5,sK5,sK6,sK6)))
| ~ ron(sK4,X0)
| sK14(X1,vskolem1052(sK5,sK5,sK6,sK6)) = X0
| vskolem1052(sK5,sK5,sK6,sK6) = X1
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rpoint(X1) )
| ~ spl54_94 ),
inference(resolution,[],[f3917,f1197]) ).
fof(f7246,plain,
( ! [X0,X1] :
( ~ rcenter(sK6,sK14(X1,vskolem1052(sK5,sK5,sK6,sK6)))
| ~ rcenter(sK6,X0)
| ~ ron(sK4,X0)
| sK14(X1,vskolem1052(sK5,sK5,sK6,sK6)) = X0
| vskolem1052(sK5,sK5,sK6,sK6) = X1
| ~ rpoint(X1) )
| ~ spl54_93
| ~ spl54_94 ),
inference(forward_subsumption_resolution,[],[f7245,f3666]) ).
fof(f7897,plain,
( ! [X0] :
( ~ rcenter(sK6,X0)
| ~ ron(sK4,X0)
| sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = X0
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ rpoint(sK6)
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rpoint(sK6) )
| ~ spl54_93
| ~ spl54_94 ),
inference(resolution,[],[f7246,f1199]) ).
fof(f7898,plain,
( ! [X0] :
( ~ rcenter(sK6,X0)
| ~ ron(sK4,X0)
| sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = X0
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ rpoint(sK6)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6)) )
| ~ spl54_93
| ~ spl54_94 ),
inference(duplicate_literal_removal,[],[f7897]) ).
fof(f7899,plain,
( ! [X0] :
( ~ rcenter(sK6,X0)
| ~ ron(sK4,X0)
| sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = X0
| ~ rpoint(sK6)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6)) )
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7898,f3690]) ).
fof(f7900,plain,
( ! [X0] :
( ~ rcenter(sK6,X0)
| ~ ron(sK4,X0)
| sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = X0
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6)) )
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7899,f543]) ).
fof(f7901,plain,
( ! [X0] :
( ~ rcenter(sK6,X0)
| ~ ron(sK4,X0)
| sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6)) = X0 )
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7900,f3666]) ).
fof(f7902,plain,
( ~ ron(sK4,sK14(sK6,sK4))
| sK14(sK6,sK4) = sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6))
| spl54_21
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(resolution,[],[f7901,f3312]) ).
fof(f7906,plain,
( sK14(sK6,sK4) = sK14(sK6,vskolem1052(sK5,sK5,sK6,sK6))
| spl54_21
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7902,f3877]) ).
fof(f7917,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK14(sK6,sK4))
| sK6 = vskolem1052(sK5,sK5,sK6,sK6)
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rpoint(sK6)
| spl54_21
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(superposition,[],[f1197,f7906]) ).
fof(f7919,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK14(sK6,sK4))
| ~ rpoint(vskolem1052(sK5,sK5,sK6,sK6))
| ~ rpoint(sK6)
| spl54_21
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7917,f3690]) ).
fof(f7922,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK14(sK6,sK4))
| ~ rpoint(sK6)
| spl54_21
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7919,f3666]) ).
fof(f7925,plain,
( ron(vskolem1052(sK5,sK5,sK6,sK6),sK14(sK6,sK4))
| spl54_21
| ~ spl54_93
| ~ spl54_94
| spl54_98 ),
inference(forward_subsumption_resolution,[],[f7922,f543]) ).
fof(f9487,plain,
( ! [X0] :
( vf(sK6,sK4) != vf(sK6,sK4)
| ~ rpoint(sK6)
| ~ rcenter(sK5,X0)
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ron(sK6,X0) )
| ~ spl54_226 ),
inference(superposition,[],[f5219,f2383]) ).
fof(f9488,plain,
( ! [X0] :
( ~ rpoint(sK6)
| ~ rcenter(sK5,X0)
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ron(sK6,X0) )
| ~ spl54_226 ),
inference(trivial_inequality_removal,[],[f9487]) ).
fof(f9491,plain,
( ! [X0] :
( ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ rcenter(sK5,X0)
| ron(sK6,X0) )
| ~ spl54_226 ),
inference(forward_subsumption_resolution,[],[f9488,f543]) ).
fof(f9495,plain,
( ! [X0] :
( ~ rcenter(sK5,X0)
| ~ ron(sK4,X0)
| ron(sK6,X0) )
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_demodulation,[],[f9491,f5324]) ).
fof(f9530,plain,
( ! [X0] :
( ~ ron(sK4,sK14(sK5,X0))
| ron(sK6,sK14(sK5,X0))
| sK5 = X0
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| ~ spl54_226
| ~ spl54_238 ),
inference(resolution,[],[f9495,f1199]) ).
fof(f9531,plain,
( ! [X0] :
( ~ ron(sK4,sK14(sK5,X0))
| ron(sK6,sK14(sK5,X0))
| sK5 = X0
| ~ rpoint(X0) )
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9530,f545]) ).
fof(f9973,plain,
( ron(sK6,sK14(sK5,sK4))
| sK4 = sK5
| ~ rpoint(sK4)
| sK4 = sK5
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(resolution,[],[f9531,f1197]) ).
fof(f9974,plain,
( ron(sK6,sK14(sK5,sK4))
| sK4 = sK5
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(duplicate_literal_removal,[],[f9973]) ).
fof(f9975,plain,
( ron(sK6,sK14(sK5,sK4))
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9974,f855]) ).
fof(f9976,plain,
( ron(sK6,sK14(sK5,sK4))
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9975,f547]) ).
fof(f9977,plain,
( ron(sK6,sK14(sK5,sK4))
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9976,f545]) ).
fof(f10490,plain,
( vf(sK6,sK4) = vf(sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_224 ),
inference(forward_demodulation,[],[f6138,f5189]) ).
fof(f12711,plain,
( ! [X0] :
( vf(sK6,sK4) != vf(sK6,sK4)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rcenter(sK6,X0)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0) )
| ~ spl54_95
| ~ spl54_224 ),
inference(superposition,[],[f3675,f10490]) ).
fof(f12719,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rcenter(sK6,X0)
| ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0) )
| ~ spl54_95
| ~ spl54_224 ),
inference(trivial_inequality_removal,[],[f12711]) ).
fof(f12726,plain,
( ! [X0] :
( ~ ron(vskolem1052(sK5,sK5,sK6,sK6),X0)
| ~ rcenter(sK6,X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0) )
| ~ spl54_95
| ~ spl54_224 ),
inference(forward_subsumption_resolution,[],[f12719,f5210]) ).
fof(f12747,plain,
( ~ rcenter(sK6,sK14(sK6,sK4))
| ron(vskolem1052(sK6,sK6,sK5,sK5),sK14(sK6,sK4))
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224 ),
inference(resolution,[],[f12726,f7925]) ).
fof(f12752,plain,
( ron(vskolem1052(sK6,sK6,sK5,sK5),sK14(sK6,sK4))
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224 ),
inference(forward_subsumption_resolution,[],[f12747,f3312]) ).
fof(f41560,plain,
( vf(sK6,sK4) = vf(sK5,sK5)
| ~ spl54_228 ),
inference(superposition,[],[f5189,f5230]) ).
fof(f41609,plain,
( vd684 = vf(sK6,sK4)
| ~ spl54_228 ),
inference(forward_demodulation,[],[f41560,f1890]) ).
fof(f41615,plain,
( $false
| ~ spl54_228 ),
inference(forward_subsumption_resolution,[],[f41609,f2059]) ).
fof(f41616,plain,
~ spl54_228,
inference(avatar_contradiction_clause,[],[f41615]) ).
fof(f42068,plain,
! [X2,X0,X1] :
( ~ ron(X0,X1)
| sK14(X2,X0) = X1
| ~ rcenter(X2,X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f2608,f1197]) ).
fof(f42110,plain,
! [X2,X0,X1] :
( ~ rcenter(X2,X1)
| sK14(X2,X0) = X1
| ~ ron(X0,X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f42068]) ).
fof(f42147,plain,
! [X2,X0,X1] :
( sK14(X0,X1) = sK14(X0,X2)
| ~ ron(X1,sK14(X0,X2))
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f42110,f1199]) ).
fof(f42150,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK14(X0,X2))
| sK14(X0,X1) = sK14(X0,X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f42147]) ).
fof(f46752,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK4,X0,X1)
| rR(sK4,X2,X3)
| sK4 = X1
| sK4 = X3
| sK4 = X0
| sK4 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK4,X1) = vangle(X2,sK4,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK4) ),
inference(forward_subsumption_resolution,[],[f1878,f626]) ).
fof(f46753,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK6,X0,X1)
| rR(sK6,X2,X3)
| sK6 = X1
| sK6 = X3
| sK6 = X0
| sK6 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK6,X1) = vangle(X2,sK6,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1877,f629]) ).
fof(f46754,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK5,X0,X1)
| rR(sK5,X2,X3)
| sK5 = X1
| sK5 = X3
| sK5 = X0
| sK5 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| vangle(X3,sK5,X1) = vangle(X2,sK5,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK5) ),
inference(forward_subsumption_resolution,[],[f1876,f629]) ).
fof(f46755,plain,
! [X2,X3,X0,X1,X4] :
( rR(sK6,X0,X1)
| rR(sK6,X2,X3)
| sK6 = X1
| sK6 = X3
| sK6 = X0
| sK6 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vd1297)
| ~ ron(X2,vd1297)
| vangle(X3,sK6,X1) = vangle(X2,sK6,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1879,f626]) ).
fof(f46767,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| vd684 = vangle(X1,X0,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| ~ rpoint(vd1329)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1892,f629]) ).
fof(f46779,plain,
! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f2114,f899]) ).
fof(f46816,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK5,sK4)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2749,f1786]) ).
fof(f46817,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f2748,f1786]) ).
fof(f47863,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1297)
| rR(sK4,X2,X3)
| sK4 = X1
| sK4 = X3
| sK4 = X0
| sK4 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK4,X0,X1)
| ~ ron(X2,vd1297)
| vangle(X3,sK4,X1) = vangle(X2,sK4,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f46752,f547]) ).
fof(f47864,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1295)
| rR(sK6,X2,X3)
| sK6 = X1
| sK6 = X3
| sK6 = X0
| sK6 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK6,X0,X1)
| ~ ron(X2,vd1295)
| vangle(X3,sK6,X1) = vangle(X2,sK6,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f46753,f543]) ).
fof(f47865,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1295)
| rR(sK5,X2,X3)
| sK5 = X1
| sK5 = X3
| sK5 = X0
| sK5 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK5,X0,X1)
| ~ ron(X2,vd1295)
| vangle(X3,sK5,X1) = vangle(X2,sK5,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f46754,f545]) ).
fof(f47866,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1297)
| rR(sK6,X2,X3)
| sK6 = X1
| sK6 = X3
| sK6 = X0
| sK6 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(sK6,X0,X1)
| ~ ron(X2,vd1297)
| vangle(X3,sK6,X1) = vangle(X2,sK6,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f46755,f543]) ).
fof(f47878,plain,
! [X0,X1] :
( rR(X0,X1,vd1329)
| vd684 = vangle(X1,X0,vd1329)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1329 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f46767,f536]) ).
fof(f47890,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f46779,f1786]) ).
fof(f47925,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK5,sK4)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f46816,f899]) ).
fof(f47926,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f46817,f899]) ).
fof(f50678,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f47890,f545]) ).
fof(f50706,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK5,sK4)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f47925,f547]) ).
fof(f50707,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f47926,f547]) ).
fof(f51377,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f50678,f547]) ).
fof(f51393,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK5,sK4)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f50706,f545]) ).
fof(f51394,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f50707,f545]) ).
fof(f52025,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK4,sK5)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f51377,f543]) ).
fof(f52041,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ~ rR(sK6,sK5,sK4)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f51393,f543]) ).
fof(f52042,plain,
( ! [X0] :
( vd684 != vangle(vd1303,sK6,sK5)
| ron(sK4,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f51394,f543]) ).
fof(f52241,definition,
( spl54_3372
<=> ! [X0] :
( ~ ron(sK4,X0)
| ~ rline(X0)
| ~ ron(sK6,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_3372])],[avatar_definition]) ).
fof(f52242,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ rline(X0)
| ~ ron(sK6,X0) )
| ~ spl54_3372 ),
inference(avatar_component_clause,[],[f52241]) ).
fof(f52244,definition,
( spl54_3373
<=> rR(sK6,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_3373])],[avatar_definition]) ).
fof(f52245,plain,
( rR(sK6,sK4,sK5)
| ~ spl54_3373 ),
inference(avatar_component_clause,[],[f52244]) ).
fof(f52246,plain,
( ~ rR(sK6,sK4,sK5)
| spl54_3373 ),
inference(avatar_component_clause,[],[f52244]) ).
fof(f52248,definition,
( spl54_3374
<=> vd684 = vangle(vd1303,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_3374])],[avatar_definition]) ).
fof(f52250,plain,
( vd684 != vangle(vd1303,sK6,sK5)
| spl54_3374 ),
inference(avatar_component_clause,[],[f52248]) ).
fof(f52251,plain,
( spl54_3372
| ~ spl54_3373
| ~ spl54_3374
| spl54_21 ),
inference(avatar_split_clause,[],[f52025,f1784,f52248,f52244,f52241]) ).
fof(f52253,definition,
( spl54_3375
<=> ! [X0] :
( ron(sK5,X0)
| ~ rline(X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_3375])],[avatar_definition]) ).
fof(f52254,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ron(sK5,X0)
| ~ ron(sK4,X0) )
| ~ spl54_3375 ),
inference(avatar_component_clause,[],[f52253]) ).
fof(f52257,definition,
( spl54_3376
<=> ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_3376])],[avatar_definition]) ).
fof(f52258,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(sK5,X0) )
| ~ spl54_3376 ),
inference(avatar_component_clause,[],[f52257]) ).
fof(f52260,definition,
( spl54_3377
<=> rR(sK5,sK6,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_3377])],[avatar_definition]) ).
fof(f52261,plain,
( rR(sK5,sK6,vd1303)
| ~ spl54_3377 ),
inference(avatar_component_clause,[],[f52260]) ).
fof(f52283,definition,
( spl54_3382
<=> ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_3382])],[avatar_definition]) ).
fof(f52284,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) )
| ~ spl54_3382 ),
inference(avatar_component_clause,[],[f52283]) ).
fof(f52330,definition,
( spl54_3394
<=> vd684 = vangle(sK6,sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl54_3394])],[avatar_definition]) ).
fof(f52331,plain,
( vd684 = vangle(sK6,sK5,sK4)
| ~ spl54_3394 ),
inference(avatar_component_clause,[],[f52330]) ).
fof(f52332,plain,
( vd684 != vangle(sK6,sK5,sK4)
| spl54_3394 ),
inference(avatar_component_clause,[],[f52330]) ).
fof(f52348,definition,
( spl54_3398
<=> rR(sK6,sK5,sK4) ),
introduced(definition,[new_symbols(definition,[spl54_3398])],[avatar_definition]) ).
fof(f52350,plain,
( ~ rR(sK6,sK5,sK4)
| spl54_3398 ),
inference(avatar_component_clause,[],[f52348]) ).
fof(f52351,plain,
( spl54_3376
| ~ spl54_3398
| ~ spl54_3374
| spl54_21 ),
inference(avatar_split_clause,[],[f52041,f1784,f52248,f52348,f52257]) ).
fof(f52353,definition,
( spl54_3399
<=> ! [X0] :
( ron(sK4,X0)
| ~ rline(X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_3399])],[avatar_definition]) ).
fof(f52354,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ron(sK4,X0)
| ~ ron(sK5,X0) )
| ~ spl54_3399 ),
inference(avatar_component_clause,[],[f52353]) ).
fof(f52355,plain,
( spl54_3399
| ~ spl54_3374
| spl54_21 ),
inference(avatar_split_clause,[],[f52042,f1784,f52248,f52353]) ).
fof(f52370,definition,
( spl54_3403
<=> vd684 = vangle(sK6,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_3403])],[avatar_definition]) ).
fof(f52371,plain,
( vd684 = vangle(sK6,sK4,sK5)
| ~ spl54_3403 ),
inference(avatar_component_clause,[],[f52370]) ).
fof(f52372,plain,
( vd684 != vangle(sK6,sK4,sK5)
| spl54_3403 ),
inference(avatar_component_clause,[],[f52370]) ).
fof(f52576,definition,
( spl54_3447
<=> vd684 = vangle(vd1300,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl54_3447])],[avatar_definition]) ).
fof(f52577,plain,
( vd684 = vangle(vd1300,sK6,sK4)
| ~ spl54_3447 ),
inference(avatar_component_clause,[],[f52576]) ).
fof(f52578,plain,
( vd684 != vangle(vd1300,sK6,sK4)
| spl54_3447 ),
inference(avatar_component_clause,[],[f52576]) ).
fof(f52685,definition,
( spl54_3459
<=> rR(sK6,sK4,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_3459])],[avatar_definition]) ).
fof(f52686,plain,
( rR(sK6,sK4,vd1329)
| ~ spl54_3459 ),
inference(avatar_component_clause,[],[f52685]) ).
fof(f52687,plain,
( ~ rR(sK6,sK4,vd1329)
| spl54_3459 ),
inference(avatar_component_clause,[],[f52685]) ).
fof(f52864,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,sK7(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,[],[f2000,f1079]) ).
fof(f52897,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK7(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,[],[f52864]) ).
fof(f53122,definition,
( spl54_3469
<=> ron(sK4,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_3469])],[avatar_definition]) ).
fof(f53123,plain,
( ron(sK4,vd1295)
| ~ spl54_3469 ),
inference(avatar_component_clause,[],[f53122]) ).
fof(f53124,plain,
( ~ ron(sK4,vd1295)
| spl54_3469 ),
inference(avatar_component_clause,[],[f53122]) ).
fof(f53133,definition,
( spl54_3471
<=> vd684 = vangle(sK5,sK6,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_3471])],[avatar_definition]) ).
fof(f53134,plain,
( vd684 != vangle(sK5,sK6,vd1329)
| spl54_3471 ),
inference(avatar_component_clause,[],[f53133]) ).
fof(f53135,plain,
( vd684 = vangle(sK5,sK6,vd1329)
| ~ spl54_3471 ),
inference(avatar_component_clause,[],[f53133]) ).
fof(f53354,definition,
( spl54_3478
<=> ron(sK5,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_3478])],[avatar_definition]) ).
fof(f53355,plain,
( ron(sK5,vd1297)
| ~ spl54_3478 ),
inference(avatar_component_clause,[],[f53354]) ).
fof(f53356,plain,
( ~ ron(sK5,vd1297)
| spl54_3478 ),
inference(avatar_component_clause,[],[f53354]) ).
fof(f53359,definition,
( spl54_3479
<=> rR(sK5,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl54_3479])],[avatar_definition]) ).
fof(f53360,plain,
( ~ rR(sK5,sK6,sK4)
| spl54_3479 ),
inference(avatar_component_clause,[],[f53359]) ).
fof(f53361,plain,
( rR(sK5,sK6,sK4)
| ~ spl54_3479 ),
inference(avatar_component_clause,[],[f53359]) ).
fof(f53371,plain,
! [X2,X3,X0,X1] :
( rR(sK6,X0,vd1329)
| sK6 = X1
| vd1329 = sK6
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,X1) = vangle(X0,sK6,X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1329)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f47864,f619]) ).
fof(f53373,plain,
! [X2,X3,X0,X1] :
( rR(sK6,X0,sK5)
| sK6 = X1
| sK5 = sK6
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK6,X2) = vangle(sK5,sK6,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK5)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f47864,f906]) ).
fof(f53426,plain,
! [X2,X3,X0,X1] :
( rR(sK6,X0,sK5)
| sK6 = X1
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK6,X2) = vangle(sK5,sK6,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK5)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f53373,f899]) ).
fof(f53428,plain,
! [X2,X3,X0,X1] :
( rR(sK6,X0,vd1329)
| sK6 = X1
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,X1) = vangle(X0,sK6,X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1329)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f53371,f860]) ).
fof(f53450,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK6 = X1
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| rR(sK6,X0,sK5)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK6,X2) = vangle(sK5,sK6,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f53426,f545]) ).
fof(f53452,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK6 = X1
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| rR(sK6,X0,vd1329)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,X1) = vangle(X0,sK6,X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f53428,f536]) ).
fof(f53574,plain,
! [X0,X1] :
( sK6 = X0
| sK5 = sK6
| sK6 = X1
| ~ ron(X0,vd1295)
| rR(sK6,X1,vd1329)
| rR(sK6,sK5,X0)
| ~ ron(X1,vd1295)
| vangle(vd1329,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(resolution,[],[f53452,f906]) ).
fof(f53701,plain,
! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ ron(X0,vd1295)
| rR(sK6,X1,vd1329)
| rR(sK6,sK5,X0)
| ~ ron(X1,vd1295)
| vangle(vd1329,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f53574,f899]) ).
fof(f53736,plain,
! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ ron(X0,vd1295)
| rR(sK6,X1,vd1329)
| rR(sK6,sK5,X0)
| ~ ron(X1,vd1295)
| vangle(vd1329,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f53701,f629]) ).
fof(f53771,plain,
! [X0,X1] :
( rR(sK6,sK5,X0)
| rR(sK6,X1,vd1329)
| ~ ron(X0,vd1295)
| sK6 = X1
| sK6 = X0
| ~ ron(X1,vd1295)
| vangle(vd1329,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f53736,f545]) ).
fof(f53812,plain,
! [X2,X3,X0,X1] :
( rR(sK5,X0,sK6)
| sK5 = X1
| sK5 = sK6
| sK5 = X2
| sK5 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK5,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK5,X2) = vangle(sK6,sK5,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f47865,f913]) ).
fof(f53843,plain,
! [X2,X3,X0,X1] :
( rR(sK5,X0,sK6)
| sK5 = X1
| sK5 = X2
| sK5 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK5,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK5,X2) = vangle(sK6,sK5,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f53812,f899]) ).
fof(f53846,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK5 = X1
| sK5 = X2
| sK5 = X0
| ~ ron(X1,X3)
| rR(sK5,X0,sK6)
| rR(sK5,X2,X1)
| ~ ron(X0,vd1295)
| vangle(X0,sK5,X2) = vangle(sK6,sK5,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f53843,f543]) ).
fof(f53850,plain,
! [X2,X3,X0,X1] :
( rR(sK4,X0,sK6)
| sK4 = X1
| sK4 = sK6
| sK4 = X2
| sK4 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK4,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK4,X2) = vangle(sK6,sK4,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f47863,f912]) ).
fof(f53894,plain,
( ! [X2,X3,X0,X1] :
( rR(sK4,X0,sK6)
| sK4 = X1
| sK4 = X2
| sK4 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK4,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK4,X2) = vangle(sK6,sK4,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK6)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f53850,f1786]) ).
fof(f53907,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK4 = X1
| sK4 = X2
| sK4 = X0
| ~ ron(X1,X3)
| rR(sK4,X0,sK6)
| rR(sK4,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK4,X2) = vangle(sK6,sK4,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f53894,f543]) ).
fof(f53993,plain,
! [X0,X1] :
( sK5 = X0
| sK5 = sK6
| sK5 = X1
| ~ ron(X0,vd1297)
| rR(sK5,X1,sK6)
| rR(sK5,sK6,X0)
| ~ ron(X1,vd1295)
| vangle(sK6,sK5,X0) = vangle(X1,sK5,sK6)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1) ),
inference(resolution,[],[f53846,f912]) ).
fof(f54115,plain,
! [X0,X1] :
( sK5 = X0
| sK5 = X1
| ~ ron(X0,vd1297)
| rR(sK5,X1,sK6)
| rR(sK5,sK6,X0)
| ~ ron(X1,vd1295)
| vangle(sK6,sK5,X0) = vangle(X1,sK5,sK6)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f53993,f899]) ).
fof(f54153,plain,
! [X0,X1] :
( sK5 = X0
| sK5 = X1
| ~ ron(X0,vd1297)
| rR(sK5,X1,sK6)
| rR(sK5,sK6,X0)
| ~ ron(X1,vd1295)
| vangle(sK6,sK5,X0) = vangle(X1,sK5,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f54115,f626]) ).
fof(f54191,plain,
! [X0,X1] :
( rR(sK5,sK6,X0)
| rR(sK5,X1,sK6)
| ~ ron(X0,vd1297)
| sK5 = X1
| sK5 = X0
| ~ ron(X1,vd1295)
| vangle(sK6,sK5,X0) = vangle(X1,sK5,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f54153,f543]) ).
fof(f54272,plain,
! [X0,X1] :
( sK6 = X0
| sK4 = sK6
| sK6 = X1
| ~ ron(X0,vd1297)
| rR(sK6,X1,sK5)
| rR(sK6,sK4,X0)
| ~ ron(X1,vd1295)
| vangle(sK5,sK6,X0) = vangle(X1,sK6,sK4)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(X1) ),
inference(resolution,[],[f53450,f904]) ).
fof(f54396,plain,
( ! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ ron(X0,vd1297)
| rR(sK6,X1,sK5)
| rR(sK6,sK4,X0)
| ~ ron(X1,vd1295)
| vangle(sK5,sK6,X0) = vangle(X1,sK6,sK4)
| ~ rline(vd1297)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(X1) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f54272,f1786]) ).
fof(f54431,plain,
( ! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ ron(X0,vd1297)
| rR(sK6,X1,sK5)
| rR(sK6,sK4,X0)
| ~ ron(X1,vd1295)
| vangle(sK5,sK6,X0) = vangle(X1,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(sK4)
| ~ rpoint(X1) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f54396,f626]) ).
fof(f54466,plain,
( ! [X0,X1] :
( rR(sK6,sK4,X0)
| rR(sK6,X1,sK5)
| ~ ron(X0,vd1297)
| sK6 = X1
| sK6 = X0
| ~ ron(X1,vd1295)
| vangle(sK5,sK6,X0) = vangle(X1,sK6,sK4)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f54431,f547]) ).
fof(f54507,plain,
! [X2,X3,X0,X1] :
( rR(sK6,X0,vd1303)
| sK6 = X1
| vd1303 = sK6
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK6,X2) = vangle(vd1303,sK6,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f47866,f902]) ).
fof(f54538,plain,
! [X2,X3,X0,X1] :
( rR(sK6,X0,vd1303)
| sK6 = X1
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK6,X2) = vangle(vd1303,sK6,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f54507,f864]) ).
fof(f54540,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| sK6 = X1
| sK6 = X2
| sK6 = X0
| ~ ron(X1,X3)
| rR(sK6,X0,vd1303)
| rR(sK6,X2,X1)
| ~ ron(X0,vd1297)
| vangle(X0,sK6,X2) = vangle(vd1303,sK6,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f54538,f539]) ).
fof(f56179,plain,
( ! [X0,X1] :
( sK4 = X0
| sK4 = sK6
| sK4 = X1
| ~ ron(X0,vd1295)
| rR(sK4,X1,sK6)
| rR(sK4,sK6,X0)
| ~ ron(X1,vd1297)
| vangle(sK6,sK4,X0) = vangle(X1,sK4,sK6)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1) )
| spl54_21 ),
inference(resolution,[],[f53907,f913]) ).
fof(f56280,plain,
( ! [X2,X3,X0,X1] :
( sK4 = X0
| sK4 = X1
| sK4 = X2
| ~ ron(X0,sK7(X3,X1))
| rR(sK4,X2,sK6)
| rR(sK4,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK6,sK4,X0) = vangle(X2,sK4,X1)
| ~ rline(sK7(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) )
| spl54_21 ),
inference(resolution,[],[f53907,f1079]) ).
fof(f56297,plain,
( ! [X2,X3,X0,X1] :
( sK4 = X0
| sK4 = X1
| sK4 = X2
| ~ ron(X0,sK7(X3,X1))
| rR(sK4,X2,sK6)
| rR(sK4,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK6,sK4,X0) = vangle(X2,sK4,X1)
| ~ rline(sK7(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl54_21 ),
inference(duplicate_literal_removal,[],[f56280]) ).
fof(f56301,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X0,sK7(X3,X1))
| sK4 = X1
| sK4 = X2
| sK4 = X0
| rR(sK4,X2,sK6)
| rR(sK4,X1,X0)
| ~ ron(X2,vd1297)
| vangle(sK6,sK4,X0) = vangle(X2,sK4,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f56297,f1083]) ).
fof(f56304,plain,
( ! [X0,X1] :
( sK4 = X0
| sK4 = X1
| ~ ron(X0,vd1295)
| rR(sK4,X1,sK6)
| rR(sK4,sK6,X0)
| ~ ron(X1,vd1297)
| vangle(sK6,sK4,X0) = vangle(X1,sK4,sK6)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f56179,f1786]) ).
fof(f56339,plain,
( ! [X0,X1] :
( sK4 = X0
| sK4 = X1
| ~ ron(X0,vd1295)
| rR(sK4,X1,sK6)
| rR(sK4,sK6,X0)
| ~ ron(X1,vd1297)
| vangle(sK6,sK4,X0) = vangle(X1,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f56304,f629]) ).
fof(f56374,plain,
( ! [X0,X1] :
( rR(sK4,sK6,X0)
| rR(sK4,X1,sK6)
| ~ ron(X0,vd1295)
| sK4 = X1
| sK4 = X0
| ~ ron(X1,vd1297)
| vangle(sK6,sK4,X0) = vangle(X1,sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f56339,f543]) ).
fof(f56613,plain,
! [X0] :
( rR(sK6,X0,vd1329)
| ~ ron(vd1329,vd1295)
| sK6 = X0
| vd1329 = sK6
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,vd1329) = vangle(X0,sK6,sK5)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(resolution,[],[f53771,f849]) ).
fof(f56690,plain,
! [X0] :
( rR(sK6,X0,vd1329)
| sK6 = X0
| vd1329 = sK6
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,vd1329) = vangle(X0,sK6,sK5)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f56613,f619]) ).
fof(f56715,plain,
! [X0] :
( rR(sK6,X0,vd1329)
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,vd1329) = vangle(X0,sK6,sK5)
| ~ rpoint(vd1329)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f56690,f860]) ).
fof(f56728,plain,
! [X0] :
( rR(sK6,X0,vd1329)
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(vd1329,sK6,vd1329) = vangle(X0,sK6,sK5)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f56715,f536]) ).
fof(f56738,plain,
! [X0] :
( rR(sK6,X0,vd1329)
| vd684 = vangle(X0,sK6,sK5)
| sK6 = X0
| ~ ron(X0,vd1295)
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f56728,f2074]) ).
fof(f56764,plain,
( vd684 = vangle(vd1329,sK6,sK5)
| vd1329 = sK6
| ~ ron(vd1329,vd1295)
| ~ rpoint(vd1329)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) ),
inference(resolution,[],[f56738,f1695]) ).
fof(f56768,plain,
( vd684 = vangle(vd1329,sK6,sK5)
| vd1329 = sK6
| ~ ron(vd1329,vd1295)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) ),
inference(duplicate_literal_removal,[],[f56764]) ).
fof(f56781,plain,
( vd684 = vangle(vd1329,sK6,sK5)
| ~ ron(vd1329,vd1295)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f56768,f860]) ).
fof(f56791,plain,
( vd684 = vangle(vd1329,sK6,sK5)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f56781,f619]) ).
fof(f56801,plain,
( vd684 = vangle(vd1329,sK6,sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f56791,f536]) ).
fof(f56805,plain,
vd684 = vangle(vd1329,sK6,sK5),
inference(forward_subsumption_resolution,[],[f56801,f543]) ).
fof(f57056,plain,
! [X0] :
( rR(sK5,sK6,X0)
| ~ ron(X0,vd1297)
| sK5 = sK6
| sK5 = X0
| ~ ron(sK6,vd1295)
| vangle(sK6,sK5,sK6) = vangle(sK6,sK5,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK5) ),
inference(resolution,[],[f54191,f1695]) ).
fof(f57059,plain,
! [X0] :
( rR(sK5,sK6,X0)
| ~ ron(X0,vd1297)
| sK5 = sK6
| sK5 = X0
| ~ ron(sK6,vd1295)
| vangle(sK6,sK5,sK6) = vangle(sK6,sK5,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) ),
inference(duplicate_literal_removal,[],[f57056]) ).
fof(f57085,plain,
! [X0] :
( rR(sK5,sK6,X0)
| ~ ron(X0,vd1297)
| sK5 = X0
| ~ ron(sK6,vd1295)
| vangle(sK6,sK5,sK6) = vangle(sK6,sK5,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) ),
inference(forward_subsumption_resolution,[],[f57059,f899]) ).
fof(f57106,plain,
! [X0] :
( rR(sK5,sK6,X0)
| ~ ron(X0,vd1297)
| sK5 = X0
| vangle(sK6,sK5,sK6) = vangle(sK6,sK5,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) ),
inference(forward_subsumption_resolution,[],[f57085,f913]) ).
fof(f57127,plain,
! [X0] :
( rR(sK5,sK6,X0)
| ~ ron(X0,vd1297)
| sK5 = X0
| vangle(sK6,sK5,sK6) = vangle(sK6,sK5,X0)
| ~ rpoint(X0)
| ~ rpoint(sK5) ),
inference(forward_subsumption_resolution,[],[f57106,f543]) ).
fof(f57136,plain,
! [X0] :
( rR(sK5,sK6,X0)
| ~ ron(X0,vd1297)
| sK5 = X0
| vangle(sK6,sK5,sK6) = vangle(sK6,sK5,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f57127,f545]) ).
fof(f57143,plain,
! [X0] :
( rR(sK5,sK6,X0)
| vd684 = vangle(sK6,sK5,X0)
| ~ ron(X0,vd1297)
| sK5 = X0
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f57136,f2234]) ).
fof(f57152,plain,
( vd684 = vangle(sK6,sK5,sK4)
| ~ ron(sK4,vd1297)
| sK4 = sK5
| ~ rpoint(sK4)
| rR(sK5,sK6,vd1303)
| ~ rpoint(sK5) ),
inference(resolution,[],[f57143,f1950]) ).
fof(f57187,plain,
( ~ ron(sK4,vd1297)
| sK4 = sK5
| ~ rpoint(sK4)
| rR(sK5,sK6,vd1303)
| ~ rpoint(sK5)
| spl54_3394 ),
inference(forward_subsumption_resolution,[],[f57152,f52332]) ).
fof(f57197,plain,
( sK4 = sK5
| ~ rpoint(sK4)
| rR(sK5,sK6,vd1303)
| ~ rpoint(sK5)
| spl54_3394 ),
inference(forward_subsumption_resolution,[],[f57187,f904]) ).
fof(f57201,plain,
( ~ rpoint(sK4)
| rR(sK5,sK6,vd1303)
| ~ rpoint(sK5)
| spl54_3394 ),
inference(forward_subsumption_resolution,[],[f57197,f855]) ).
fof(f57204,plain,
( rR(sK5,sK6,vd1303)
| ~ rpoint(sK5)
| spl54_3394 ),
inference(forward_subsumption_resolution,[],[f57201,f547]) ).
fof(f57205,plain,
( rR(sK5,sK6,vd1303)
| spl54_3394 ),
inference(forward_subsumption_resolution,[],[f57204,f545]) ).
fof(f57206,plain,
( spl54_3377
| spl54_3394 ),
inference(avatar_split_clause,[],[f57205,f52330,f52260]) ).
fof(f57207,plain,
( ~ rR(sK5,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_3377 ),
inference(resolution,[],[f52261,f2329]) ).
fof(f57226,plain,
( ~ rR(sK5,vd1300,vd1303)
| ~ spl54_3377 ),
inference(forward_subsumption_resolution,[],[f57207,f539]) ).
fof(f57836,plain,
( vd684 = vangle(sK5,sK6,vd1329)
| ~ ron(sK5,vd1295)
| ~ ron(sK6,vd1295)
| vd1329 = sK6
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(resolution,[],[f47878,f849]) ).
fof(f58241,plain,
( ! [X2,X0,X1] :
( sK4 = X0
| sK4 = X1
| sK4 = X2
| rR(sK4,X1,sK6)
| rR(sK4,X0,X2)
| ~ ron(X1,vd1297)
| vangle(X1,sK4,X0) = vangle(sK6,sK4,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) )
| spl54_21 ),
inference(resolution,[],[f56301,f1081]) ).
fof(f58272,plain,
( ! [X2,X0,X1] :
( rR(sK4,X1,sK6)
| rR(sK4,X0,X2)
| sK4 = X2
| sK4 = X1
| sK4 = X0
| ~ ron(X1,vd1297)
| vangle(X1,sK4,X0) = vangle(sK6,sK4,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 )
| spl54_21 ),
inference(duplicate_literal_removal,[],[f58241]) ).
fof(f59023,plain,
! [X0,X1] :
( sK6 = X0
| sK5 = sK6
| sK6 = X1
| ~ ron(X0,vd1295)
| rR(sK6,X1,vd1303)
| rR(sK6,sK5,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(resolution,[],[f54540,f906]) ).
fof(f59150,plain,
! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ ron(X0,vd1295)
| rR(sK6,X1,vd1303)
| rR(sK6,sK5,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rline(vd1295)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f59023,f899]) ).
fof(f59185,plain,
! [X0,X1] :
( sK6 = X0
| sK6 = X1
| ~ ron(X0,vd1295)
| rR(sK6,X1,vd1303)
| rR(sK6,sK5,X0)
| ~ ron(X1,vd1297)
| vangle(vd1303,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f59150,f629]) ).
fof(f59220,plain,
! [X0,X1] :
( rR(sK6,sK5,X0)
| rR(sK6,X1,vd1303)
| ~ ron(X0,vd1295)
| sK6 = X1
| sK6 = X0
| ~ ron(X1,vd1297)
| vangle(vd1303,sK6,X0) = vangle(X1,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f59185,f545]) ).
fof(f59271,plain,
! [X0] :
( rR(sK6,X0,vd1303)
| ~ ron(sK5,vd1295)
| sK6 = X0
| sK5 = sK6
| ~ ron(X0,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK5)
| ~ rpoint(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(resolution,[],[f59220,f1695]) ).
fof(f59295,plain,
! [X0] :
( rR(sK6,X0,vd1303)
| ~ ron(sK5,vd1295)
| sK6 = X0
| sK5 = sK6
| ~ ron(X0,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK5)
| ~ rpoint(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6) ),
inference(duplicate_literal_removal,[],[f59271]) ).
fof(f59315,plain,
! [X0] :
( rR(sK6,X0,vd1303)
| sK6 = X0
| sK5 = sK6
| ~ ron(X0,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK5)
| ~ rpoint(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f59295,f906]) ).
fof(f59335,plain,
! [X0] :
( rR(sK6,X0,vd1303)
| sK6 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK5)
| ~ rpoint(sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f59315,f899]) ).
fof(f59348,plain,
! [X0] :
( rR(sK6,X0,vd1303)
| sK6 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK5)
| ~ rpoint(X0)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f59335,f545]) ).
fof(f59354,plain,
! [X0] :
( rR(sK6,X0,vd1303)
| sK6 = X0
| ~ ron(X0,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK5)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f59348,f543]) ).
fof(f59783,plain,
( ! [X0] :
( rR(sK6,X0,sK5)
| ~ ron(vd1303,vd1297)
| sK6 = X0
| vd1303 = sK6
| ~ ron(X0,vd1295)
| vangle(X0,sK6,sK4) = vangle(sK5,sK6,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0) )
| spl54_21 ),
inference(resolution,[],[f54466,f850]) ).
fof(f59856,plain,
( ! [X0] :
( rR(sK6,X0,sK5)
| sK6 = X0
| vd1303 = sK6
| ~ ron(X0,vd1295)
| vangle(X0,sK6,sK4) = vangle(sK5,sK6,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f59783,f902]) ).
fof(f59878,plain,
( ! [X0] :
( rR(sK6,X0,sK5)
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(X0,sK6,sK4) = vangle(sK5,sK6,vd1303)
| ~ rpoint(vd1303)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f59856,f864]) ).
fof(f59888,plain,
( ! [X0] :
( rR(sK6,X0,sK5)
| sK6 = X0
| ~ ron(X0,vd1295)
| vangle(X0,sK6,sK4) = vangle(sK5,sK6,vd1303)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f59878,f539]) ).
fof(f59896,plain,
( ! [X0] :
( rR(sK6,X0,sK5)
| vangle(vd1303,sK6,sK5) = vangle(X0,sK6,sK4)
| sK6 = X0
| ~ ron(X0,vd1295)
| ~ rpoint(X0) )
| spl54_21
| spl54_50 ),
inference(forward_demodulation,[],[f59888,f2776]) ).
fof(f59922,plain,
( vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4)
| vd1300 = sK6
| ~ ron(vd1300,vd1295)
| ~ rpoint(vd1300)
| rR(sK6,vd1300,sK6)
| ~ rpoint(sK6)
| spl54_21
| spl54_50 ),
inference(resolution,[],[f59896,f1946]) ).
fof(f59938,plain,
( vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4)
| ~ ron(vd1300,vd1295)
| ~ rpoint(vd1300)
| rR(sK6,vd1300,sK6)
| ~ rpoint(sK6)
| spl54_20
| spl54_21
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f59922,f1780]) ).
fof(f59947,plain,
( vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4)
| ~ rpoint(vd1300)
| rR(sK6,vd1300,sK6)
| ~ rpoint(sK6)
| spl54_20
| spl54_21
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f59938,f911]) ).
fof(f59956,plain,
( vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4)
| rR(sK6,vd1300,sK6)
| ~ rpoint(sK6)
| spl54_20
| spl54_21
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f59947,f542]) ).
fof(f59959,plain,
( vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4)
| rR(sK6,vd1300,sK6)
| spl54_20
| spl54_21
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f59956,f543]) ).
fof(f59962,definition,
( spl54_3558
<=> rR(sK6,vd1300,sK6) ),
introduced(definition,[new_symbols(definition,[spl54_3558])],[avatar_definition]) ).
fof(f59964,plain,
( rR(sK6,vd1300,sK6)
| ~ spl54_3558 ),
inference(avatar_component_clause,[],[f59962]) ).
fof(f59966,definition,
( spl54_3559
<=> vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl54_3559])],[avatar_definition]) ).
fof(f59968,plain,
( vangle(vd1303,sK6,sK5) = vangle(vd1300,sK6,sK4)
| ~ spl54_3559 ),
inference(avatar_component_clause,[],[f59966]) ).
fof(f59969,plain,
( spl54_3558
| spl54_3559
| spl54_20
| spl54_21
| spl54_50 ),
inference(avatar_split_clause,[],[f59959,f2241,f1784,f1778,f59966,f59962]) ).
fof(f59972,plain,
( rR(sK6,sK6,vd1300)
| ~ rpoint(sK6)
| ~ rpoint(sK6)
| ~ rpoint(vd1300)
| ~ spl54_3558 ),
inference(resolution,[],[f59964,f1026]) ).
fof(f59987,plain,
( rR(sK6,sK6,vd1300)
| ~ rpoint(sK6)
| ~ rpoint(vd1300)
| ~ spl54_3558 ),
inference(duplicate_literal_removal,[],[f59972]) ).
fof(f59992,plain,
( ~ rpoint(sK6)
| ~ rpoint(vd1300)
| ~ spl54_3558 ),
inference(forward_subsumption_resolution,[],[f59987,f1694]) ).
fof(f59995,plain,
( ~ rpoint(vd1300)
| ~ spl54_3558 ),
inference(forward_subsumption_resolution,[],[f59992,f543]) ).
fof(f59998,plain,
( $false
| ~ spl54_3558 ),
inference(forward_subsumption_resolution,[],[f59995,f542]) ).
fof(f59999,plain,
~ spl54_3558,
inference(avatar_contradiction_clause,[],[f59998]) ).
fof(f60765,plain,
( ! [X0] :
( vd684 != vd684
| ron(vd1329,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| vd1329 = sK6
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(superposition,[],[f1125,f53135]) ).
fof(f60766,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| vd1329 = sK6
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(trivial_inequality_removal,[],[f60765]) ).
fof(f61351,plain,
( sK5 = sK6
| ~ ron(sK5,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK5)
| ~ rpoint(sK5)
| rR(sK5,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(resolution,[],[f59354,f1970]) ).
fof(f62425,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| ~ ron(X0,vd1295)
| sK4 = sK6
| sK4 = X0
| ~ ron(sK6,vd1297)
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21 ),
inference(resolution,[],[f56374,f1695]) ).
fof(f62428,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| ~ ron(X0,vd1295)
| sK4 = sK6
| sK4 = X0
| ~ ron(sK6,vd1297)
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21 ),
inference(duplicate_literal_removal,[],[f62425]) ).
fof(f62454,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| ~ ron(sK6,vd1297)
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f62428,f1786]) ).
fof(f62476,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f62454,f912]) ).
fof(f62498,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f62476,f543]) ).
fof(f62508,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,X0)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f62498,f547]) ).
fof(f62515,plain,
( ! [X0] :
( rR(sK4,sK6,X0)
| vd684 = vangle(sK6,sK4,X0)
| ~ ron(X0,vd1295)
| sK4 = X0
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_demodulation,[],[f62508,f2123]) ).
fof(f63476,plain,
( ~ rline(vd1295)
| ~ ron(sK5,vd1295)
| ~ spl54_3376 ),
inference(resolution,[],[f52258,f913]) ).
fof(f63523,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| sK4 = sK5
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3403 ),
inference(superposition,[],[f1125,f52371]) ).
fof(f63524,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| sK4 = sK5
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3403 ),
inference(trivial_inequality_removal,[],[f63523]) ).
fof(f63526,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3403 ),
inference(forward_subsumption_resolution,[],[f63524,f855]) ).
fof(f63543,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_3403 ),
inference(forward_subsumption_resolution,[],[f63526,f1786]) ).
fof(f63560,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_3403 ),
inference(forward_subsumption_resolution,[],[f63543,f545]) ).
fof(f63577,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_3403 ),
inference(forward_subsumption_resolution,[],[f63560,f543]) ).
fof(f63597,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_3403 ),
inference(forward_subsumption_resolution,[],[f63577,f547]) ).
fof(f63631,definition,
( spl54_3604
<=> rR(sK4,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_3604])],[avatar_definition]) ).
fof(f63632,plain,
( rR(sK4,sK6,sK5)
| ~ spl54_3604 ),
inference(avatar_component_clause,[],[f63631]) ).
fof(f63633,plain,
( ~ rR(sK4,sK6,sK5)
| spl54_3604 ),
inference(avatar_component_clause,[],[f63631]) ).
fof(f63769,plain,
( ~ ron(sK5,vd1295)
| ~ spl54_3376 ),
inference(forward_subsumption_resolution,[],[f63476,f629]) ).
fof(f63793,plain,
( $false
| ~ spl54_3376 ),
inference(forward_subsumption_resolution,[],[f63769,f906]) ).
fof(f63794,plain,
~ spl54_3376,
inference(avatar_contradiction_clause,[],[f63793]) ).
fof(f63806,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f60766,f860]) ).
fof(f63809,plain,
( spl54_3375
| spl54_21
| ~ spl54_3403 ),
inference(avatar_split_clause,[],[f63597,f52370,f1784,f52253]) ).
fof(f63812,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f63806,f899]) ).
fof(f63813,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f63812,f536]) ).
fof(f63814,plain,
( ! [X0] :
( ron(vd1329,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f63813,f545]) ).
fof(f63815,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ron(vd1329,X0)
| ~ rline(X0) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f63814,f543]) ).
fof(f63817,plain,
( ~ rline(vd1297)
| ron(sK5,vd1297)
| ~ ron(sK4,vd1297)
| ~ spl54_3375 ),
inference(resolution,[],[f52254,f912]) ).
fof(f63850,plain,
( ron(sK5,vd1297)
| ~ ron(sK4,vd1297)
| ~ spl54_3375 ),
inference(forward_subsumption_resolution,[],[f63817,f626]) ).
fof(f63853,plain,
( ~ ron(sK4,vd1297)
| ~ spl54_3375
| spl54_3478 ),
inference(forward_subsumption_resolution,[],[f63850,f53356]) ).
fof(f63854,plain,
( $false
| ~ spl54_3375
| spl54_3478 ),
inference(forward_subsumption_resolution,[],[f63853,f904]) ).
fof(f63855,plain,
( ~ spl54_3375
| spl54_3478 ),
inference(avatar_contradiction_clause,[],[f63854]) ).
fof(f63894,plain,
( vd684 = vangle(sK6,sK4,sK5)
| ~ ron(sK5,vd1295)
| sK4 = sK5
| ~ rpoint(sK5)
| spl54_21
| spl54_3604 ),
inference(resolution,[],[f63633,f62515]) ).
fof(f63897,plain,
( ~ ron(sK5,vd1295)
| sK4 = sK5
| ~ rpoint(sK5)
| spl54_21
| spl54_3403
| spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63894,f52372]) ).
fof(f63898,plain,
( sK4 = sK5
| ~ rpoint(sK5)
| spl54_21
| spl54_3403
| spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63897,f906]) ).
fof(f63899,plain,
( ~ rpoint(sK5)
| spl54_21
| spl54_3403
| spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63898,f855]) ).
fof(f63900,plain,
( $false
| spl54_21
| spl54_3403
| spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63899,f545]) ).
fof(f63901,plain,
( spl54_21
| spl54_3403
| spl54_3604 ),
inference(avatar_contradiction_clause,[],[f63900]) ).
fof(f63905,plain,
( ~ rR(sK6,sK4,sK5)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl54_3604 ),
inference(resolution,[],[f63632,f1015]) ).
fof(f63907,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| ~ spl54_3604 ),
inference(resolution,[],[f63632,f1142]) ).
fof(f63920,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| ~ spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63907,f545]) ).
fof(f63922,plain,
( ~ rR(sK6,sK4,sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63905,f545]) ).
fof(f63931,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| ~ spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63920,f547]) ).
fof(f63933,plain,
( ~ rR(sK6,sK4,sK5)
| ~ rpoint(sK4)
| ~ spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63922,f543]) ).
fof(f63942,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ron(sK4,X0)
| ~ rline(X0) )
| ~ spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63931,f543]) ).
fof(f63944,plain,
( ~ rR(sK6,sK4,sK5)
| ~ spl54_3604 ),
inference(forward_subsumption_resolution,[],[f63933,f547]) ).
fof(f63949,plain,
( spl54_3399
| ~ spl54_3604 ),
inference(avatar_split_clause,[],[f63942,f63631,f52353]) ).
fof(f63952,plain,
( ~ spl54_3373
| ~ spl54_3604 ),
inference(avatar_split_clause,[],[f63944,f63631,f52244]) ).
fof(f63964,plain,
( ~ ron(sK5,vd1297)
| vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK5)
| ~ rpoint(sK5)
| rR(sK5,vd1300,vd1303)
| ~ rpoint(vd1303) ),
inference(forward_subsumption_resolution,[],[f61351,f899]) ).
fof(f63978,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK5)
| ~ rpoint(sK5)
| rR(sK5,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_3478 ),
inference(forward_subsumption_resolution,[],[f63964,f53355]) ).
fof(f63990,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK5)
| rR(sK5,vd1300,vd1303)
| ~ rpoint(vd1303)
| ~ spl54_3478 ),
inference(forward_subsumption_resolution,[],[f63978,f545]) ).
fof(f64002,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK5)
| ~ rpoint(vd1303)
| ~ spl54_3377
| ~ spl54_3478 ),
inference(forward_subsumption_resolution,[],[f63990,f57226]) ).
fof(f64011,plain,
( vangle(vd1303,sK6,sK5) = vangle(sK5,sK6,sK5)
| ~ spl54_3377
| ~ spl54_3478 ),
inference(forward_subsumption_resolution,[],[f64002,f539]) ).
fof(f64018,plain,
( vd684 = vangle(vd1303,sK6,sK5)
| ~ spl54_3377
| ~ spl54_3478 ),
inference(forward_demodulation,[],[f64011,f2066]) ).
fof(f64023,plain,
( vd684 = vangle(vd1300,sK6,sK4)
| ~ spl54_3377
| ~ spl54_3478
| ~ spl54_3559 ),
inference(forward_demodulation,[],[f64018,f59968]) ).
fof(f64029,plain,
( $false
| ~ spl54_3377
| spl54_3447
| ~ spl54_3478
| ~ spl54_3559 ),
inference(forward_subsumption_resolution,[],[f64023,f52578]) ).
fof(f64030,plain,
( ~ spl54_3377
| spl54_3447
| ~ spl54_3478
| ~ spl54_3559 ),
inference(avatar_contradiction_clause,[],[f64029]) ).
fof(f64112,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| ~ ron(sK4,vd1295)
| ~ ron(sK6,vd1295)
| vd1329 = sK6
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl54_3459 ),
inference(resolution,[],[f52687,f47878]) ).
fof(f64165,plain,
( ~ rline(vd1295)
| ron(sK4,vd1295)
| ~ ron(sK5,vd1295)
| ~ spl54_3399 ),
inference(resolution,[],[f52354,f913]) ).
fof(f64680,plain,
( ! [X0] :
( ~ ron(sK5,sK7(sK6,X0))
| ron(vd1329,sK7(sK6,X0))
| ~ rline(sK7(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(resolution,[],[f63815,f1081]) ).
fof(f64683,plain,
( ! [X0] :
( ~ ron(sK5,sK7(sK6,X0))
| ron(vd1329,sK7(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f64680,f1083]) ).
fof(f64685,plain,
( ! [X0] :
( ~ ron(sK5,sK7(sK6,X0))
| ron(vd1329,sK7(sK6,X0))
| sK6 = X0
| ~ rpoint(X0) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f64683,f543]) ).
fof(f64966,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK5,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK4 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(superposition,[],[f1121,f52331]) ).
fof(f64967,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK4 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(superposition,[],[f1125,f52331]) ).
fof(f64968,plain,
( ! [X0] :
( ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK4 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(trivial_inequality_removal,[],[f64967]) ).
fof(f64969,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK4)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK4 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(trivial_inequality_removal,[],[f64966]) ).
fof(f66835,plain,
( ron(sK4,vd1295)
| ~ ron(sK5,vd1295)
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f64165,f629]) ).
fof(f66850,plain,
( ~ ron(sK5,vd1295)
| ~ spl54_3399
| spl54_3469 ),
inference(forward_subsumption_resolution,[],[f66835,f53124]) ).
fof(f66857,plain,
( $false
| ~ spl54_3399
| spl54_3469 ),
inference(forward_subsumption_resolution,[],[f66850,f906]) ).
fof(f66858,plain,
( ~ spl54_3399
| spl54_3469 ),
inference(avatar_contradiction_clause,[],[f66857]) ).
fof(f66885,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| ~ ron(sK6,vd1295)
| vd1329 = sK6
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl54_3459
| ~ spl54_3469 ),
inference(forward_subsumption_resolution,[],[f64112,f53123]) ).
fof(f66936,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| vd1329 = sK6
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl54_3459
| ~ spl54_3469 ),
inference(forward_subsumption_resolution,[],[f66885,f913]) ).
fof(f66987,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| sK4 = sK6
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl54_3459
| ~ spl54_3469 ),
inference(forward_subsumption_resolution,[],[f66936,f860]) ).
fof(f67033,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| spl54_21
| spl54_3459
| ~ spl54_3469 ),
inference(forward_subsumption_resolution,[],[f66987,f1786]) ).
fof(f67079,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| ~ rpoint(sK6)
| spl54_21
| spl54_3459
| ~ spl54_3469 ),
inference(forward_subsumption_resolution,[],[f67033,f547]) ).
fof(f67116,plain,
( vd684 = vangle(sK4,sK6,vd1329)
| spl54_21
| spl54_3459
| ~ spl54_3469 ),
inference(forward_subsumption_resolution,[],[f67079,f543]) ).
fof(f67140,plain,
( vd684 = vangle(sK4,sK6,sK5)
| spl54_21
| spl54_3459
| ~ spl54_3469 ),
inference(forward_demodulation,[],[f67116,f848]) ).
fof(f67153,plain,
( vd684 = vangle(vd1303,sK6,sK5)
| spl54_21
| spl54_3459
| ~ spl54_3469 ),
inference(forward_demodulation,[],[f67140,f847]) ).
fof(f67158,plain,
( vd684 = vangle(vd1300,sK6,sK4)
| spl54_21
| spl54_3459
| ~ spl54_3469
| ~ spl54_3559 ),
inference(forward_demodulation,[],[f67153,f59968]) ).
fof(f69216,definition,
( spl54_3677
<=> rR(sK6,vd1329,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_3677])],[avatar_definition]) ).
fof(f70957,plain,
( vf(sK6,sK4) = vf(sK6,sK6)
| ~ spl54_224
| ~ spl54_231 ),
inference(superposition,[],[f10490,f5291]) ).
fof(f71001,plain,
( vd684 = vf(sK6,sK4)
| ~ spl54_224
| ~ spl54_231 ),
inference(forward_demodulation,[],[f70957,f1891]) ).
fof(f71006,plain,
( $false
| ~ spl54_224
| ~ spl54_231 ),
inference(forward_subsumption_resolution,[],[f71001,f2059]) ).
fof(f71007,plain,
( ~ spl54_224
| ~ spl54_231 ),
inference(avatar_contradiction_clause,[],[f71006]) ).
fof(f72130,plain,
( sK14(sK5,sK4) = sK14(sK5,sK6)
| ~ rpoint(sK6)
| sK5 = sK6
| ~ rpoint(sK5)
| sK4 = sK5
| ~ rpoint(sK4)
| ~ spl54_226
| ~ spl54_238 ),
inference(resolution,[],[f9977,f42150]) ).
fof(f72159,plain,
( sK14(sK5,sK4) = sK14(sK5,sK6)
| sK5 = sK6
| ~ rpoint(sK5)
| sK4 = sK5
| ~ rpoint(sK4)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f72130,f543]) ).
fof(f72234,plain,
( sK14(sK5,sK4) = sK14(sK5,sK6)
| ~ rpoint(sK5)
| sK4 = sK5
| ~ rpoint(sK4)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f72159,f899]) ).
fof(f72250,plain,
( sK14(sK5,sK4) = sK14(sK5,sK6)
| sK4 = sK5
| ~ rpoint(sK4)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f72234,f545]) ).
fof(f72258,plain,
( sK14(sK5,sK4) = sK14(sK5,sK6)
| ~ rpoint(sK4)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f72250,f855]) ).
fof(f72262,plain,
( sK14(sK5,sK4) = sK14(sK5,sK6)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f72258,f547]) ).
fof(f76569,plain,
( ron(vd1329,sK7(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_3471 ),
inference(resolution,[],[f64685,f1079]) ).
fof(f76572,plain,
( ron(vd1329,sK7(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_3471 ),
inference(duplicate_literal_removal,[],[f76569]) ).
fof(f76573,plain,
( ron(vd1329,sK7(sK6,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76572,f899]) ).
fof(f76574,plain,
( ron(vd1329,sK7(sK6,sK5))
| ~ rpoint(sK6)
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76573,f545]) ).
fof(f76575,plain,
( ron(vd1329,sK7(sK6,sK5))
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76574,f543]) ).
fof(f76584,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK6)
| rR(sK6,X0,X1)
| rR(sK6,vd1329,sK5)
| sK6 = X1
| sK5 = sK6
| sK6 = X0
| vd1329 = sK6
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK5)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1329) )
| ~ spl54_3471 ),
inference(resolution,[],[f76575,f52897]) ).
fof(f76638,plain,
( ! [X2,X0,X1] :
( rR(sK6,X0,X1)
| rR(sK6,vd1329,sK5)
| sK6 = X1
| sK5 = sK6
| sK6 = X0
| vd1329 = sK6
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK5)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1329) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76584,f543]) ).
fof(f76686,plain,
( ! [X2,X0,X1] :
( rR(sK6,X0,X1)
| rR(sK6,vd1329,sK5)
| sK6 = X1
| sK6 = X0
| vd1329 = sK6
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK5)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1329) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76638,f899]) ).
fof(f76718,plain,
( ! [X2,X0,X1] :
( rR(sK6,X0,X1)
| rR(sK6,vd1329,sK5)
| sK6 = X1
| sK6 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK5)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1329) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76686,f860]) ).
fof(f76743,plain,
( ! [X2,X0,X1] :
( rR(sK6,X0,X1)
| rR(sK6,vd1329,sK5)
| sK6 = X1
| sK6 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1329) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76718,f545]) ).
fof(f76756,plain,
( ! [X2,X0,X1] :
( rR(sK6,X0,X1)
| rR(sK6,vd1329,sK5)
| sK6 = X1
| sK6 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_3471 ),
inference(forward_subsumption_resolution,[],[f76743,f536]) ).
fof(f76768,definition,
( spl54_3778
<=> ! [X2,X0,X1] :
( rR(sK6,X0,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK6 = X0
| sK6 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl54_3778])],[avatar_definition]) ).
fof(f76769,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ ron(X0,X2)
| rR(sK6,X0,X1)
| sK6 = X0
| sK6 = X1 )
| ~ spl54_3778 ),
inference(avatar_component_clause,[],[f76768]) ).
fof(f76770,plain,
( spl54_3677
| spl54_3778
| ~ spl54_3471 ),
inference(avatar_split_clause,[],[f76756,f53133,f76768,f69216]) ).
fof(f76989,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK7(X2,X1))
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ ron(X0,sK7(X2,X1))
| rR(sK6,X0,X1)
| sK6 = X0
| sK6 = X1
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl54_3778 ),
inference(resolution,[],[f76769,f1079]) ).
fof(f77010,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK7(X2,X1))
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ ron(X0,sK7(X2,X1))
| rR(sK6,X0,X1)
| sK6 = X0
| sK6 = X1
| X1 = X2
| ~ rpoint(X2) )
| ~ spl54_3778 ),
inference(duplicate_literal_removal,[],[f76989]) ).
fof(f77019,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK7(X2,X1))
| ~ rpoint(X1)
| vangle(vd1329,sK6,X0) = vangle(sK5,sK6,X1)
| ~ rpoint(X0)
| rR(sK6,X0,X1)
| sK6 = X0
| sK6 = X1
| X1 = X2
| ~ rpoint(X2) )
| ~ spl54_3778 ),
inference(forward_subsumption_resolution,[],[f77010,f1083]) ).
fof(f78001,plain,
( ~ ron(sK5,vd1295)
| ~ ron(sK6,vd1295)
| vd1329 = sK6
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f57836,f53134]) ).
fof(f78040,plain,
( ~ ron(sK6,vd1295)
| vd1329 = sK6
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f78001,f906]) ).
fof(f78069,plain,
( vd1329 = sK6
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f78040,f913]) ).
fof(f78094,plain,
( sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f78069,f860]) ).
fof(f78115,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f78094,f899]) ).
fof(f78135,plain,
( ~ rpoint(sK6)
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f78115,f545]) ).
fof(f78138,plain,
( $false
| spl54_3471 ),
inference(forward_subsumption_resolution,[],[f78135,f543]) ).
fof(f78139,plain,
spl54_3471,
inference(avatar_contradiction_clause,[],[f78138]) ).
fof(f80913,plain,
( ron(sK4,sK14(sK5,sK6))
| sK4 = sK5
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(superposition,[],[f1197,f72262]) ).
fof(f80929,plain,
( ron(sK4,sK14(sK5,sK6))
| ~ rpoint(sK4)
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f80913,f855]) ).
fof(f80936,plain,
( ron(sK4,sK14(sK5,sK6))
| ~ rpoint(sK5)
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f80929,f547]) ).
fof(f80943,plain,
( ron(sK4,sK14(sK5,sK6))
| ~ spl54_226
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f80936,f545]) ).
fof(f83912,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ ron(X2,sK14(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,[],[f3899,f1197]) ).
fof(f83922,plain,
( ! [X0,X1] :
( ~ rpoint(sK4)
| ~ rpoint(sK6)
| sK5 = X0
| ~ ron(X0,sK14(sK6,sK4))
| sK4 = sK6
| rR(sK6,sK5,X0)
| ~ ron(X0,X1)
| ~ ron(sK5,X1)
| ~ ron(sK6,X1)
| ~ rline(X1)
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl54_21 ),
inference(resolution,[],[f3899,f3313]) ).
fof(f83968,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK14(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,[],[f83912]) ).
fof(f84005,plain,
( ! [X0,X1] :
( ~ rpoint(sK6)
| sK5 = X0
| ~ ron(X0,sK14(sK6,sK4))
| sK4 = sK6
| rR(sK6,sK5,X0)
| ~ ron(X0,X1)
| ~ ron(sK5,X1)
| ~ ron(sK6,X1)
| ~ rline(X1)
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f83922,f547]) ).
fof(f84046,plain,
( ! [X0,X1] :
( sK5 = X0
| ~ ron(X0,sK14(sK6,sK4))
| sK4 = sK6
| rR(sK6,sK5,X0)
| ~ ron(X0,X1)
| ~ ron(sK5,X1)
| ~ ron(sK6,X1)
| ~ rline(X1)
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f84005,f543]) ).
fof(f84087,plain,
( ! [X0,X1] :
( sK5 = X0
| ~ ron(X0,sK14(sK6,sK4))
| rR(sK6,sK5,X0)
| ~ ron(X0,X1)
| ~ ron(sK5,X1)
| ~ ron(sK6,X1)
| ~ rline(X1)
| ~ rpoint(X0)
| ~ rpoint(sK5) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f84046,f1786]) ).
fof(f84127,plain,
( ! [X0,X1] :
( ~ ron(X0,sK14(sK6,sK4))
| sK5 = X0
| rR(sK6,sK5,X0)
| ~ ron(X0,X1)
| ~ ron(sK5,X1)
| ~ ron(sK6,X1)
| ~ rline(X1)
| ~ rpoint(X0) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f84087,f545]) ).
fof(f84164,plain,
( ! [X0] :
( ~ rpoint(sK5)
| sK4 = sK6
| ~ rpoint(sK6)
| sK5 = sK6
| rR(sK5,sK6,sK4)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| ~ spl54_226
| ~ spl54_238 ),
inference(resolution,[],[f83968,f80943]) ).
fof(f84165,plain,
( ! [X0] :
( ~ rpoint(sK6)
| sK4 = sK5
| ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,sK5)
| ~ ron(sK5,X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21 ),
inference(resolution,[],[f83968,f3313]) ).
fof(f84249,plain,
( ! [X0] :
( ~ rpoint(sK6)
| sK4 = sK5
| ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,sK5)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84165,f52354]) ).
fof(f84250,plain,
( ! [X0] :
( ~ rpoint(sK5)
| sK4 = sK6
| ~ rpoint(sK6)
| sK5 = sK6
| rR(sK5,sK6,sK4)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375 ),
inference(forward_subsumption_resolution,[],[f84164,f52254]) ).
fof(f84288,plain,
( ! [X0] :
( sK4 = sK5
| ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,sK5)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84249,f543]) ).
fof(f84289,plain,
( ! [X0] :
( sK4 = sK6
| ~ rpoint(sK6)
| sK5 = sK6
| rR(sK5,sK6,sK4)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375 ),
inference(forward_subsumption_resolution,[],[f84250,f545]) ).
fof(f84327,plain,
( ! [X0] :
( ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,sK5)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84288,f855]) ).
fof(f84328,plain,
( ! [X0] :
( ~ rpoint(sK6)
| sK5 = sK6
| rR(sK5,sK6,sK4)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375 ),
inference(forward_subsumption_resolution,[],[f84289,f1786]) ).
fof(f84366,plain,
( ! [X0] :
( sK4 = sK6
| rR(sK6,sK4,sK5)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84327,f547]) ).
fof(f84367,plain,
( ! [X0] :
( sK5 = sK6
| rR(sK5,sK6,sK4)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375 ),
inference(forward_subsumption_resolution,[],[f84328,f543]) ).
fof(f84380,plain,
( ! [X0] :
( rR(sK6,sK4,sK5)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84366,f1786]) ).
fof(f84381,plain,
( ! [X0] :
( rR(sK5,sK6,sK4)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375 ),
inference(forward_subsumption_resolution,[],[f84367,f899]) ).
fof(f84392,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_21
| spl54_3373
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84380,f52246]) ).
fof(f84393,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375
| spl54_3479 ),
inference(forward_subsumption_resolution,[],[f84381,f53360]) ).
fof(f84402,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| spl54_3373
| ~ spl54_3399 ),
inference(forward_subsumption_resolution,[],[f84392,f545]) ).
fof(f84403,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375
| spl54_3479 ),
inference(forward_subsumption_resolution,[],[f84393,f547]) ).
fof(f84411,plain,
( spl54_3376
| spl54_21
| spl54_3373
| ~ spl54_3399 ),
inference(avatar_split_clause,[],[f84402,f52353,f52244,f1784,f52257]) ).
fof(f84412,plain,
( spl54_3372
| spl54_21
| ~ spl54_226
| ~ spl54_238
| ~ spl54_3375
| spl54_3479 ),
inference(avatar_split_clause,[],[f84403,f53359,f52253,f5322,f5218,f1784,f52241]) ).
fof(f84422,plain,
( vd684 != vangle(vd1300,sK6,sK4)
| spl54_3374
| ~ spl54_3559 ),
inference(forward_demodulation,[],[f52250,f59968]) ).
fof(f84593,plain,
( $false
| spl54_3374
| ~ spl54_3447
| ~ spl54_3559 ),
inference(forward_subsumption_resolution,[],[f84422,f52577]) ).
fof(f84594,plain,
( spl54_3374
| ~ spl54_3447
| ~ spl54_3559 ),
inference(avatar_contradiction_clause,[],[f84593]) ).
fof(f85055,plain,
( $false
| spl54_21
| spl54_3447
| spl54_3459
| ~ spl54_3469
| ~ spl54_3559 ),
inference(forward_subsumption_resolution,[],[f67158,f52578]) ).
fof(f85056,plain,
( spl54_21
| spl54_3447
| spl54_3459
| ~ spl54_3469
| ~ spl54_3559 ),
inference(avatar_contradiction_clause,[],[f85055]) ).
fof(f85693,plain,
( ! [X0] :
( ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(forward_subsumption_resolution,[],[f64968,f855]) ).
fof(f85849,plain,
( ! [X0] :
( ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(forward_subsumption_resolution,[],[f85693,f899]) ).
fof(f85940,plain,
( ! [X0] :
( ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(forward_subsumption_resolution,[],[f85849,f547]) ).
fof(f85984,plain,
( ! [X0] :
( ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| ~ spl54_3394 ),
inference(forward_subsumption_resolution,[],[f85940,f543]) ).
fof(f85999,plain,
( ! [X0] :
( ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0) )
| ~ spl54_3394 ),
inference(forward_subsumption_resolution,[],[f85984,f545]) ).
fof(f86004,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0) )
| ~ spl54_3372
| ~ spl54_3394 ),
inference(forward_subsumption_resolution,[],[f85999,f52242]) ).
fof(f86009,plain,
( spl54_3376
| ~ spl54_3372
| ~ spl54_3394 ),
inference(avatar_split_clause,[],[f86004,f52330,f52241,f52257]) ).
fof(f86554,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ron(vd1329,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3459 ),
inference(resolution,[],[f52686,f1175]) ).
fof(f86558,plain,
( ! [X0] :
( ~ rR(sK6,sK4,X0)
| ~ rR(sK6,vd1329,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3459 ),
inference(resolution,[],[f52686,f1369]) ).
fof(f86561,plain,
( ! [X0] :
( ~ rR(sK6,sK4,X0)
| ~ rR(sK6,vd1329,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86558,f536]) ).
fof(f86567,plain,
( ! [X0] :
( ~ rR(sK6,sK4,X0)
| ~ rR(sK6,vd1329,X0)
| ~ rpoint(X0)
| ~ rpoint(sK4) )
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86561,f543]) ).
fof(f86573,plain,
( ! [X0] :
( ~ rR(sK6,sK4,X0)
| ~ rR(sK6,vd1329,X0)
| ~ rpoint(X0) )
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86567,f547]) ).
fof(f86589,plain,
( rR(sK6,sK5,sK4)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl54_3373 ),
inference(resolution,[],[f52245,f1026]) ).
fof(f86674,plain,
( spl54_3399
| ~ spl54_3394 ),
inference(avatar_split_clause,[],[f85999,f52330,f52353]) ).
fof(f86676,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ron(vd1329,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86554,f536]) ).
fof(f86684,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ron(vd1329,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86676,f543]) ).
fof(f86686,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ron(vd1329,X0)
| ~ rline(X0) )
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86684,f547]) ).
fof(f86687,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0) )
| ~ spl54_3382
| ~ spl54_3459 ),
inference(forward_subsumption_resolution,[],[f86686,f52284]) ).
fof(f86688,plain,
( spl54_3372
| ~ spl54_3382
| ~ spl54_3459 ),
inference(avatar_split_clause,[],[f86687,f52685,f52283,f52241]) ).
fof(f87486,definition,
( spl54_3921
<=> vd684 = vangle(vd1329,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_3921])],[avatar_definition]) ).
fof(f87488,plain,
( vd684 = vangle(vd1329,sK6,sK5)
| ~ spl54_3921 ),
inference(avatar_component_clause,[],[f87486]) ).
fof(f87490,plain,
spl54_3921,
inference(avatar_split_clause,[],[f56805,f87486]) ).
fof(f95763,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| vd1329 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) )
| ~ spl54_3921 ),
inference(superposition,[],[f1121,f87488]) ).
fof(f95766,plain,
( ! [X0] :
( ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| vd1329 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) )
| ~ spl54_3921 ),
inference(trivial_inequality_removal,[],[f95763]) ).
fof(f95767,plain,
( ! [X0] :
( ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| vd1329 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) )
| ~ spl54_3921 ),
inference(forward_subsumption_resolution,[],[f95766,f899]) ).
fof(f95784,plain,
( ! [X0] :
( ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) )
| ~ spl54_3921 ),
inference(forward_subsumption_resolution,[],[f95767,f860]) ).
fof(f95801,plain,
( ! [X0] :
( ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK6) )
| ~ spl54_3921 ),
inference(forward_subsumption_resolution,[],[f95784,f545]) ).
fof(f95818,plain,
( ! [X0] :
( ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| ~ spl54_3921 ),
inference(forward_subsumption_resolution,[],[f95801,f536]) ).
fof(f95838,plain,
( ! [X0] :
( ~ rR(sK6,vd1329,sK5)
| ~ ron(vd1329,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| ~ spl54_3921 ),
inference(forward_subsumption_resolution,[],[f95818,f543]) ).
fof(f95857,plain,
( spl54_3382
| ~ spl54_3677
| ~ spl54_3921 ),
inference(avatar_split_clause,[],[f95838,f87486,f69216,f52283]) ).
fof(f99451,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK4 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394
| ~ spl54_3479 ),
inference(forward_subsumption_resolution,[],[f64969,f53361]) ).
fof(f99455,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl54_3373
| spl54_3398 ),
inference(forward_subsumption_resolution,[],[f86589,f52350]) ).
fof(f99478,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394
| ~ spl54_3479 ),
inference(forward_subsumption_resolution,[],[f99451,f855]) ).
fof(f99482,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK4)
| ~ spl54_3373
| spl54_3398 ),
inference(forward_subsumption_resolution,[],[f99455,f545]) ).
fof(f99493,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394
| ~ spl54_3479 ),
inference(forward_subsumption_resolution,[],[f99478,f899]) ).
fof(f99497,plain,
( ~ rpoint(sK4)
| ~ spl54_3373
| spl54_3398 ),
inference(forward_subsumption_resolution,[],[f99482,f543]) ).
fof(f99506,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_3394
| ~ spl54_3479 ),
inference(forward_subsumption_resolution,[],[f99493,f547]) ).
fof(f99509,plain,
( $false
| ~ spl54_3373
| spl54_3398 ),
inference(forward_subsumption_resolution,[],[f99497,f547]) ).
fof(f99510,plain,
( ~ spl54_3373
| spl54_3398 ),
inference(avatar_contradiction_clause,[],[f99509]) ).
fof(f99519,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| ~ spl54_3394
| ~ spl54_3479 ),
inference(forward_subsumption_resolution,[],[f99506,f543]) ).
fof(f99522,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0) )
| ~ spl54_3394
| ~ spl54_3479 ),
inference(forward_subsumption_resolution,[],[f99519,f545]) ).
fof(f99523,plain,
( spl54_3376
| ~ spl54_3394
| ~ spl54_3479 ),
inference(avatar_split_clause,[],[f99522,f53359,f52330,f52257]) ).
fof(f106673,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vangle(sK5,sK6,X0) = vangle(vd1329,sK6,X1)
| ~ rpoint(X1)
| rR(sK6,X1,X0)
| sK6 = X1
| sK6 = X0
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_3778 ),
inference(resolution,[],[f77019,f1081]) ).
fof(f106718,plain,
( ! [X0,X1] :
( rR(sK6,X1,X0)
| vangle(sK5,sK6,X0) = vangle(vd1329,sK6,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK6 = X1
| sK6 = X0
| X0 = X1 )
| ~ spl54_3778 ),
inference(duplicate_literal_removal,[],[f106673]) ).
fof(f113198,plain,
( ! [X0,X1] :
( rR(sK4,X0,X1)
| sK4 = X1
| sK4 = sK6
| sK4 = X0
| ~ ron(sK6,vd1297)
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| X0 = X1
| ~ rR(sK4,vd1303,sK6)
| ~ rpoint(sK6) )
| spl54_21 ),
inference(resolution,[],[f58272,f2330]) ).
fof(f113266,plain,
( ! [X0,X1] :
( rR(sK4,X0,X1)
| sK4 = X1
| sK4 = sK6
| sK4 = X0
| ~ ron(sK6,vd1297)
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| X0 = X1
| ~ rR(sK4,vd1303,sK6) )
| spl54_21 ),
inference(duplicate_literal_removal,[],[f113198]) ).
fof(f113295,plain,
( ! [X0,X1] :
( rR(sK4,X0,X1)
| sK4 = X1
| sK4 = X0
| ~ ron(sK6,vd1297)
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| X0 = X1
| ~ rR(sK4,vd1303,sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f113266,f1786]) ).
fof(f113324,plain,
( ! [X0,X1] :
( rR(sK4,X0,X1)
| sK4 = X1
| sK4 = X0
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| X0 = X1
| ~ rR(sK4,vd1303,sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f113295,f912]) ).
fof(f113343,plain,
( ! [X0,X1] :
( rR(sK4,X0,X1)
| sK4 = X1
| sK4 = X0
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rR(sK4,vd1303,sK6) )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f113324,f543]) ).
fof(f113354,plain,
( ! [X0,X1] :
( rR(sK4,X0,X1)
| sK4 = X1
| sK4 = X0
| vangle(sK6,sK4,X0) = vangle(sK6,sK4,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl54_21 ),
inference(forward_subsumption_resolution,[],[f113343,f1869]) ).
fof(f118353,plain,
( ! [X0] :
( ~ rpoint(sK6)
| sK4 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224 ),
inference(resolution,[],[f12752,f83968]) ).
fof(f118371,plain,
( ! [X0] :
( sK4 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224 ),
inference(forward_subsumption_resolution,[],[f118353,f543]) ).
fof(f118379,plain,
( ! [X0] :
( ~ rpoint(sK4)
| sK4 = sK6
| rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238 ),
inference(forward_subsumption_resolution,[],[f118371,f5323]) ).
fof(f118387,plain,
( ! [X0] :
( sK4 = sK6
| rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238 ),
inference(forward_subsumption_resolution,[],[f118379,f547]) ).
fof(f118393,plain,
( ! [X0] :
( rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238 ),
inference(forward_subsumption_resolution,[],[f118387,f1786]) ).
fof(f118399,plain,
( ! [X0] :
( rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238 ),
inference(forward_subsumption_resolution,[],[f118393,f5210]) ).
fof(f118411,definition,
( spl54_4569
<=> rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_4569])],[avatar_definition]) ).
fof(f118412,plain,
( ~ rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_4569 ),
inference(avatar_component_clause,[],[f118411]) ).
fof(f118413,plain,
( rR(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_4569 ),
inference(avatar_component_clause,[],[f118411]) ).
fof(f138035,definition,
( spl54_4768
<=> rR(sK6,vd1329,vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_4768])],[avatar_definition]) ).
fof(f138036,plain,
( ~ rR(sK6,vd1329,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_4768 ),
inference(avatar_component_clause,[],[f138035]) ).
fof(f138037,plain,
( rR(sK6,vd1329,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_4768 ),
inference(avatar_component_clause,[],[f138035]) ).
fof(f139831,definition,
( spl54_4811
<=> vd684 = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_4811])],[avatar_definition]) ).
fof(f139832,plain,
( vd684 != vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_4811 ),
inference(avatar_component_clause,[],[f139831]) ).
fof(f139833,plain,
( vd684 = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_4811 ),
inference(avatar_component_clause,[],[f139831]) ).
fof(f139865,plain,
( ! [X0] :
( sK5 = vskolem1052(sK6,sK6,sK5,sK5)
| rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224 ),
inference(resolution,[],[f84127,f12752]) ).
fof(f139910,plain,
( ! [X0] :
( rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5)) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_228 ),
inference(forward_subsumption_resolution,[],[f139865,f5229]) ).
fof(f139919,plain,
( ! [X0] :
( rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_228 ),
inference(forward_subsumption_resolution,[],[f139910,f5210]) ).
fof(f139963,definition,
( spl54_4816
<=> rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_4816])],[avatar_definition]) ).
fof(f139964,plain,
( ~ rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_4816 ),
inference(avatar_component_clause,[],[f139963]) ).
fof(f139965,plain,
( rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_4816 ),
inference(avatar_component_clause,[],[f139963]) ).
fof(f143602,plain,
( ~ rR(sK6,vd1329,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_3459
| ~ spl54_4569 ),
inference(resolution,[],[f86573,f118413]) ).
fof(f143809,plain,
( ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_3459
| ~ spl54_4569
| ~ spl54_4768 ),
inference(forward_subsumption_resolution,[],[f143602,f138037]) ).
fof(f143871,plain,
( $false
| ~ spl54_224
| ~ spl54_3459
| ~ spl54_4569
| ~ spl54_4768 ),
inference(forward_subsumption_resolution,[],[f143809,f5210]) ).
fof(f143872,plain,
( ~ spl54_224
| ~ spl54_3459
| ~ spl54_4569
| ~ spl54_4768 ),
inference(avatar_contradiction_clause,[],[f143871]) ).
fof(f144504,plain,
( vangle(vd1329,sK6,vd1329) = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(vd1329)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| vd1329 = sK6
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| vd1329 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_3778
| spl54_4768 ),
inference(resolution,[],[f138036,f106718]) ).
fof(f144520,plain,
( vangle(vd1329,sK6,vd1329) = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| vd1329 = sK6
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| vd1329 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_3778
| spl54_4768 ),
inference(forward_subsumption_resolution,[],[f144504,f536]) ).
fof(f144554,plain,
( vangle(vd1329,sK6,vd1329) = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| vd1329 = sK6
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| vd1329 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_224
| ~ spl54_3778
| spl54_4768 ),
inference(forward_subsumption_resolution,[],[f144520,f5210]) ).
fof(f144588,plain,
( vangle(vd1329,sK6,vd1329) = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| vd1329 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_224
| ~ spl54_3778
| spl54_4768 ),
inference(forward_subsumption_resolution,[],[f144554,f860]) ).
fof(f144614,plain,
( vangle(vd1329,sK6,vd1329) = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| vd1329 = vskolem1052(sK6,sK6,sK5,sK5)
| ~ spl54_224
| spl54_231
| ~ spl54_3778
| spl54_4768 ),
inference(forward_subsumption_resolution,[],[f144588,f5290]) ).
fof(f144638,plain,
( vangle(vd1329,sK6,vd1329) = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_224
| spl54_231
| spl54_234
| ~ spl54_3778
| spl54_4768 ),
inference(forward_subsumption_resolution,[],[f144614,f5303]) ).
fof(f145526,definition,
( spl54_4852
<=> vd684 = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_4852])],[avatar_definition]) ).
fof(f145527,plain,
( vd684 != vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_4852 ),
inference(avatar_component_clause,[],[f145526]) ).
fof(f145528,plain,
( vd684 = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_4852 ),
inference(avatar_component_clause,[],[f145526]) ).
fof(f151367,definition,
( spl54_4905
<=> rR(sK4,sK6,vskolem1052(sK6,sK6,sK5,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_4905])],[avatar_definition]) ).
fof(f151368,plain,
( rR(sK4,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_4905 ),
inference(avatar_component_clause,[],[f151367]) ).
fof(f151369,plain,
( ~ rR(sK4,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_4905 ),
inference(avatar_component_clause,[],[f151367]) ).
fof(f151416,plain,
( vd684 != vangle(sK5,sK6,vd1329)
| ~ spl54_234
| spl54_4811 ),
inference(forward_demodulation,[],[f139832,f5304]) ).
fof(f151445,plain,
( $false
| ~ spl54_234
| ~ spl54_3471
| spl54_4811 ),
inference(forward_subsumption_resolution,[],[f151416,f53135]) ).
fof(f151446,plain,
( ~ spl54_234
| ~ spl54_3471
| spl54_4811 ),
inference(avatar_contradiction_clause,[],[f151445]) ).
fof(f151659,plain,
( vd684 = vangle(sK5,sK6,vskolem1052(sK6,sK6,sK5,sK5))
| ~ spl54_224
| spl54_231
| spl54_234
| ~ spl54_3778
| spl54_4768 ),
inference(forward_demodulation,[],[f144638,f2074]) ).
fof(f152666,plain,
( sK4 = vskolem1052(sK6,sK6,sK5,sK5)
| sK4 = sK6
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| spl54_21
| spl54_4905 ),
inference(resolution,[],[f151369,f113354]) ).
fof(f152671,plain,
( sK4 = sK6
| vangle(sK6,sK4,sK6) = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| spl54_21
| spl54_238
| spl54_4905 ),
inference(forward_subsumption_resolution,[],[f152666,f5323]) ).
fof(f152676,plain,
( vangle(sK6,sK4,sK6) = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| spl54_21
| spl54_238
| spl54_4905 ),
inference(forward_subsumption_resolution,[],[f152671,f1786]) ).
fof(f152681,plain,
( vangle(sK6,sK4,sK6) = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| spl54_21
| ~ spl54_224
| spl54_238
| spl54_4905 ),
inference(forward_subsumption_resolution,[],[f152676,f5210]) ).
fof(f152686,plain,
( vangle(sK6,sK4,sK6) = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| spl54_21
| ~ spl54_224
| spl54_238
| spl54_4905 ),
inference(forward_subsumption_resolution,[],[f152681,f543]) ).
fof(f152691,plain,
( vangle(sK6,sK4,sK6) = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_21
| ~ spl54_224
| spl54_231
| spl54_238
| spl54_4905 ),
inference(forward_subsumption_resolution,[],[f152686,f5290]) ).
fof(f154420,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811 ),
inference(superposition,[],[f1121,f139833]) ).
fof(f154423,plain,
( ! [X0] :
( ~ rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811 ),
inference(trivial_inequality_removal,[],[f154420]) ).
fof(f154425,plain,
( ! [X0] :
( ~ rR(sK6,sK5,vskolem1052(sK6,sK6,sK5,sK5))
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811 ),
inference(forward_subsumption_resolution,[],[f154423,f1048]) ).
fof(f154440,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811
| ~ spl54_4816 ),
inference(forward_subsumption_resolution,[],[f154425,f139965]) ).
fof(f154455,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_231
| ~ spl54_4811
| ~ spl54_4816 ),
inference(forward_subsumption_resolution,[],[f154440,f5290]) ).
fof(f154470,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_231
| ~ spl54_4811
| ~ spl54_4816 ),
inference(forward_subsumption_resolution,[],[f154455,f899]) ).
fof(f154485,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl54_231
| ~ spl54_4811
| ~ spl54_4816 ),
inference(forward_subsumption_resolution,[],[f154470,f545]) ).
fof(f154500,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_231
| ~ spl54_4811
| ~ spl54_4816 ),
inference(forward_subsumption_resolution,[],[f154485,f543]) ).
fof(f154531,plain,
( $false
| spl54_44
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f2476,f2149]) ).
fof(f154532,plain,
( spl54_44
| ~ spl54_50 ),
inference(avatar_contradiction_clause,[],[f154531]) ).
fof(f158224,plain,
( ! [X0] :
( ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_4569 ),
inference(forward_subsumption_resolution,[],[f118399,f118412]) ).
fof(f160144,plain,
( vd684 = vangle(sK6,sK4,vskolem1052(sK6,sK6,sK5,sK5))
| spl54_21
| ~ spl54_224
| spl54_231
| spl54_238
| spl54_4905 ),
inference(forward_demodulation,[],[f152691,f2123]) ).
fof(f160149,plain,
( $false
| spl54_21
| ~ spl54_224
| spl54_231
| spl54_238
| spl54_4852
| spl54_4905 ),
inference(forward_subsumption_resolution,[],[f160144,f145527]) ).
fof(f160150,plain,
( spl54_21
| ~ spl54_224
| spl54_231
| spl54_238
| spl54_4852
| spl54_4905 ),
inference(avatar_contradiction_clause,[],[f160149]) ).
fof(f164351,plain,
( ! [X0] :
( vd684 != vd684
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| sK4 = vskolem1052(sK6,sK6,sK5,sK5)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_4852 ),
inference(superposition,[],[f1125,f145528]) ).
fof(f164352,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| sK4 = vskolem1052(sK6,sK6,sK5,sK5)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| ~ spl54_4852 ),
inference(trivial_inequality_removal,[],[f164351]) ).
fof(f164354,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| sK4 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_238
| ~ spl54_4852 ),
inference(forward_subsumption_resolution,[],[f164352,f5323]) ).
fof(f164363,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21
| spl54_238
| ~ spl54_4852 ),
inference(forward_subsumption_resolution,[],[f164354,f1786]) ).
fof(f164372,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_224
| spl54_238
| ~ spl54_4852 ),
inference(forward_subsumption_resolution,[],[f164363,f5210]) ).
fof(f164381,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0)
| ~ rpoint(sK4) )
| spl54_21
| ~ spl54_224
| spl54_238
| ~ spl54_4852 ),
inference(forward_subsumption_resolution,[],[f164372,f543]) ).
fof(f164390,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_224
| spl54_238
| ~ spl54_4852 ),
inference(forward_subsumption_resolution,[],[f164381,f547]) ).
fof(f164398,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_4569
| ~ spl54_4852 ),
inference(forward_subsumption_resolution,[],[f164390,f158224]) ).
fof(f164406,plain,
( spl54_3372
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_4569
| ~ spl54_4852 ),
inference(avatar_split_clause,[],[f164398,f145526,f118411,f5322,f5209,f3689,f3674,f3669,f3665,f1784,f52241]) ).
fof(f164423,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| ~ spl54_4905 ),
inference(resolution,[],[f151368,f1175]) ).
fof(f164433,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ rline(X0)
| ~ rpoint(sK4)
| ~ rpoint(sK6) )
| ~ spl54_224
| ~ spl54_4905 ),
inference(forward_subsumption_resolution,[],[f164423,f5210]) ).
fof(f164439,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| ~ spl54_224
| ~ spl54_4905 ),
inference(forward_subsumption_resolution,[],[f164433,f547]) ).
fof(f164445,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ rline(X0) )
| ~ spl54_224
| ~ spl54_4905 ),
inference(forward_subsumption_resolution,[],[f164439,f543]) ).
fof(f164449,plain,
( ! [X0] :
( ~ ron(sK4,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_4569
| ~ spl54_4905 ),
inference(forward_subsumption_resolution,[],[f164445,f158224]) ).
fof(f164451,plain,
( spl54_3372
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_4569
| ~ spl54_4905 ),
inference(avatar_split_clause,[],[f164449,f151367,f118411,f5322,f5209,f3689,f3674,f3669,f3665,f1784,f52241]) ).
fof(f164479,plain,
( spl54_4811
| ~ spl54_224
| spl54_231
| spl54_234
| ~ spl54_3778
| spl54_4768 ),
inference(avatar_split_clause,[],[f151659,f138035,f76768,f5302,f5289,f5209,f139831]) ).
fof(f164647,plain,
( spl54_3376
| spl54_231
| ~ spl54_4811
| ~ spl54_4816 ),
inference(avatar_split_clause,[],[f154500,f139963,f139831,f5289,f52257]) ).
fof(f165821,plain,
( ! [X0] :
( vd684 != vd684
| ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811 ),
inference(superposition,[],[f1125,f139833]) ).
fof(f165822,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK6,sK6,sK5,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811 ),
inference(trivial_inequality_removal,[],[f165821]) ).
fof(f165824,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK6 = vskolem1052(sK6,sK6,sK5,sK5)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| ~ spl54_4811 ),
inference(forward_subsumption_resolution,[],[f165822,f1048]) ).
fof(f165929,plain,
( ! [X0] :
( ~ ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_228
| spl54_4816 ),
inference(forward_subsumption_resolution,[],[f139919,f139964]) ).
fof(f165934,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_231
| ~ spl54_4811 ),
inference(forward_subsumption_resolution,[],[f165824,f5290]) ).
fof(f165939,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) )
| spl54_231
| ~ spl54_4811 ),
inference(forward_subsumption_resolution,[],[f165934,f899]) ).
fof(f165942,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) )
| spl54_231
| ~ spl54_4811 ),
inference(forward_subsumption_resolution,[],[f165939,f545]) ).
fof(f165943,plain,
( ! [X0] :
( ron(vskolem1052(sK6,sK6,sK5,sK5),X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_231
| ~ spl54_4811 ),
inference(forward_subsumption_resolution,[],[f165942,f543]) ).
fof(f165944,plain,
( ! [X0] :
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) )
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_228
| spl54_231
| ~ spl54_4811
| spl54_4816 ),
inference(forward_subsumption_resolution,[],[f165943,f165929]) ).
fof(f165945,plain,
( spl54_3376
| spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_228
| spl54_231
| ~ spl54_4811
| spl54_4816 ),
inference(avatar_split_clause,[],[f165944,f139963,f139831,f5289,f5228,f5209,f3689,f3674,f3669,f3665,f1784,f52257]) ).
cnf(s40,plain,
~ spl54_21,
inference(sat_conversion,[],[f1861]) ).
cnf(s45,plain,
~ spl54_20,
inference(sat_conversion,[],[f2097]) ).
cnf(s46,plain,
( spl54_39
| spl54_40 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s58,plain,
( ~ spl54_39
| ~ spl54_44
| ~ spl54_50 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s63,plain,
~ spl54_40,
inference(sat_conversion,[],[f2514]) ).
cnf(s101,plain,
( ~ spl54_93
| spl54_94 ),
inference(sat_conversion,[],[f3672]) ).
cnf(s102,plain,
( ~ spl54_93
| spl54_95 ),
inference(sat_conversion,[],[f3676]) ).
cnf(s107,plain,
spl54_93,
inference(sat_conversion,[],[f3704]) ).
cnf(s108,plain,
~ spl54_98,
inference(sat_conversion,[],[f3709]) ).
cnf(s244,plain,
( ~ spl54_224
| spl54_226 ),
inference(sat_conversion,[],[f5220]) ).
cnf(s248,plain,
spl54_224,
inference(sat_conversion,[],[f5243]) ).
cnf(s2452,plain,
~ spl54_228,
inference(sat_conversion,[],[f41616]) ).
cnf(s3363,plain,
( spl54_21
| spl54_3372
| ~ spl54_3373
| ~ spl54_3374 ),
inference(sat_conversion,[],[f52251]) ).
cnf(s3379,plain,
( spl54_21
| ~ spl54_3374
| spl54_3376
| ~ spl54_3398 ),
inference(sat_conversion,[],[f52351]) ).
cnf(s3380,plain,
( spl54_21
| ~ spl54_3374
| spl54_3399 ),
inference(sat_conversion,[],[f52355]) ).
cnf(s3521,plain,
( spl54_3377
| spl54_3394 ),
inference(sat_conversion,[],[f57206]) ).
cnf(s3552,plain,
( spl54_20
| spl54_21
| spl54_50
| spl54_3558
| spl54_3559 ),
inference(sat_conversion,[],[f59969]) ).
cnf(s3553,plain,
~ spl54_3558,
inference(sat_conversion,[],[f59999]) ).
cnf(s3640,plain,
~ spl54_3376,
inference(sat_conversion,[],[f63794]) ).
cnf(s3641,plain,
( spl54_21
| spl54_3375
| ~ spl54_3403 ),
inference(sat_conversion,[],[f63809]) ).
cnf(s3642,plain,
( ~ spl54_3375
| spl54_3478 ),
inference(sat_conversion,[],[f63855]) ).
cnf(s3644,plain,
( spl54_21
| spl54_3403
| spl54_3604 ),
inference(sat_conversion,[],[f63901]) ).
cnf(s3647,plain,
( spl54_3399
| ~ spl54_3604 ),
inference(sat_conversion,[],[f63949]) ).
cnf(s3649,plain,
( ~ spl54_3373
| ~ spl54_3604 ),
inference(sat_conversion,[],[f63952]) ).
cnf(s3653,plain,
( ~ spl54_3377
| spl54_3447
| ~ spl54_3478
| ~ spl54_3559 ),
inference(sat_conversion,[],[f64030]) ).
cnf(s3761,plain,
( ~ spl54_3399
| spl54_3469 ),
inference(sat_conversion,[],[f66858]) ).
cnf(s3906,plain,
( ~ spl54_224
| ~ spl54_231 ),
inference(sat_conversion,[],[f71007]) ).
cnf(s3947,plain,
( ~ spl54_3471
| spl54_3677
| spl54_3778 ),
inference(sat_conversion,[],[f76770]) ).
cnf(s4001,plain,
spl54_3471,
inference(sat_conversion,[],[f78139]) ).
cnf(s4108,plain,
( spl54_21
| spl54_3373
| spl54_3376
| ~ spl54_3399 ),
inference(sat_conversion,[],[f84411]) ).
cnf(s4109,plain,
( spl54_21
| ~ spl54_226
| ~ spl54_238
| spl54_3372
| ~ spl54_3375
| spl54_3479 ),
inference(sat_conversion,[],[f84412]) ).
cnf(s4117,plain,
( spl54_3374
| ~ spl54_3447
| ~ spl54_3559 ),
inference(sat_conversion,[],[f84594]) ).
cnf(s4152,plain,
( spl54_21
| spl54_3447
| spl54_3459
| ~ spl54_3469
| ~ spl54_3559 ),
inference(sat_conversion,[],[f85056]) ).
cnf(s4249,plain,
( ~ spl54_3372
| spl54_3376
| ~ spl54_3394 ),
inference(sat_conversion,[],[f86009]) ).
cnf(s4289,plain,
( ~ spl54_3394
| spl54_3399 ),
inference(sat_conversion,[],[f86674]) ).
cnf(s4291,plain,
( spl54_3372
| ~ spl54_3382
| ~ spl54_3459 ),
inference(sat_conversion,[],[f86688]) ).
cnf(s4370,plain,
spl54_3921,
inference(sat_conversion,[],[f87490]) ).
cnf(s5217,plain,
( spl54_3382
| ~ spl54_3677
| ~ spl54_3921 ),
inference(sat_conversion,[],[f95857]) ).
cnf(s5412,plain,
( ~ spl54_3373
| spl54_3398 ),
inference(sat_conversion,[],[f99510]) ).
cnf(s5417,plain,
( spl54_3376
| ~ spl54_3394
| ~ spl54_3479 ),
inference(sat_conversion,[],[f99523]) ).
cnf(s6153,plain,
( ~ spl54_224
| ~ spl54_3459
| ~ spl54_4569
| ~ spl54_4768 ),
inference(sat_conversion,[],[f143872]) ).
cnf(s6282,plain,
( ~ spl54_234
| ~ spl54_3471
| spl54_4811 ),
inference(sat_conversion,[],[f151446]) ).
cnf(s6347,plain,
( spl54_44
| ~ spl54_50 ),
inference(sat_conversion,[],[f154532]) ).
cnf(s6578,plain,
( spl54_21
| ~ spl54_224
| spl54_231
| spl54_238
| spl54_4852
| spl54_4905 ),
inference(sat_conversion,[],[f160150]) ).
cnf(s6659,plain,
( spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_3372
| spl54_4569
| ~ spl54_4852 ),
inference(sat_conversion,[],[f164406]) ).
cnf(s6661,plain,
( spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_238
| spl54_3372
| spl54_4569
| ~ spl54_4905 ),
inference(sat_conversion,[],[f164451]) ).
cnf(s6664,plain,
( ~ spl54_224
| spl54_231
| spl54_234
| ~ spl54_3778
| spl54_4768
| spl54_4811 ),
inference(sat_conversion,[],[f164479]) ).
cnf(s6683,plain,
( spl54_231
| spl54_3376
| ~ spl54_4811
| ~ spl54_4816 ),
inference(sat_conversion,[],[f164647]) ).
cnf(s6692,plain,
( spl54_21
| ~ spl54_93
| ~ spl54_94
| ~ spl54_95
| spl54_98
| ~ spl54_224
| spl54_228
| spl54_231
| spl54_3376
| ~ spl54_4811
| spl54_4816 ),
inference(sat_conversion,[],[f165945]) ).
cnf(s6739,plain,
( spl54_3677
| spl54_3778 ),
inference(rat,[],[s3947,s4001]) ).
cnf(s6772,plain,
( spl54_20
| spl54_21
| spl54_50
| spl54_3559 ),
inference(rat,[],[s3552,s3553]) ).
cnf(s6783,plain,
( spl54_21
| ~ spl54_3374
| ~ spl54_3398 ),
inference(rat,[],[s3379,s3640]) ).
cnf(s6964,plain,
~ spl54_231,
inference(rat,[],[s3906,s248]) ).
cnf(s6989,plain,
spl54_226,
inference(rat,[],[s244,s248]) ).
cnf(s7029,plain,
spl54_95,
inference(rat,[],[s102,s107]) ).
cnf(s7030,plain,
spl54_94,
inference(rat,[],[s101,s107]) ).
cnf(s7080,plain,
spl54_39,
inference(rat,[],[s46,s63]) ).
cnf(s7186,plain,
~ spl54_4811,
inference(rat,[],[s6692,s6683,s107,s7029,s108,s248,s2452,s6964,s3640,s7030,s40]) ).
cnf(s7187,plain,
~ spl54_234,
inference(rat,[],[s6282,s4001,s7186]) ).
cnf(s7193,plain,
( spl54_4569
| spl54_3372
| spl54_238 ),
inference(rat,[],[s6578,s6659,s6661,s7030,s108,s7029,s107,s40,s6964,s248]) ).
cnf(s7195,plain,
( ~ spl54_3459
| ~ spl54_4569
| spl54_3372 ),
inference(rat,[],[s6739,s6664,s5217,s6153,s4291,s248,s6964,s7187,s7186,s4370]) ).
cnf(s7196,plain,
( spl54_3459
| spl54_3447
| ~ spl54_3559 ),
inference(rat,[],[s3642,s3641,s3653,s3644,s3521,s3647,s4289,s3761,s4152,s40]) ).
cnf(s7197,plain,
( spl54_3372
| spl54_238
| ~ spl54_3559 ),
inference(rat,[],[s4108,s3363,s3380,s4117,s7196,s7195,s7193,s3640,s40]) ).
cnf(s7198,plain,
( ~ spl54_3373
| ~ spl54_3377
| ~ spl54_3559 ),
inference(rat,[],[s3642,s3653,s3641,s4117,s3644,s6783,s3649,s5412,s40]) ).
cnf(s7199,plain,
( ~ spl54_3377
| ~ spl54_3559 ),
inference(rat,[],[s3642,s3653,s3641,s4117,s3644,s3380,s3647,s4108,s7198,s3640,s40]) ).
cnf(s7200,plain,
~ spl54_3559,
inference(rat,[],[s3641,s3644,s4109,s3649,s7197,s4108,s4249,s4289,s5417,s3521,s7199,s40,s6989,s3640]) ).
cnf(s7201,plain,
spl54_50,
inference(rat,[],[s6772,s40,s45,s7200]) ).
cnf(s7203,plain,
spl54_44,
inference(rat,[],[s6347,s7201]) ).
cnf(s7206,plain,
$false,
inference(rat,[],[s58,s7080,s7201,s7203]) ).
fof(f165946,plain,
$false,
inference(avatar_sat_refutation,[],[s7206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO327+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:03:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 9.78/2.23 % (1089610)Detected formulas, will run a generic FOF schedule.
% 9.78/2.23 % (1089618)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1679801480:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.78/2.23 % (1089618)Refutation not found, incomplete strategy
% 9.78/2.23 % (1089618)------------------------------
% 9.78/2.23 % (1089618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (1089618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (1089618)CaDiCaL version: 2.1.3
% 9.78/2.23 % (1089618)Termination reason: Refutation not found, incomplete strategy
% 9.78/2.23 % (1089618)Time elapsed: 0.004 s
% 9.78/2.23 % (1089618)Peak memory usage: 89 MB
% 9.78/2.23 % (1089618)Instructions burned: 10 (million)
% 9.78/2.23 % (1089617)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=3936431171:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.78/2.23 % (1089615)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=4274964930:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.78/2.23 % (1089616)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=1651099854:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.78/2.23 % (1089620)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=709132320:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.78/2.23 % (1089619)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=602256464:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.78/2.23 % (1089621)dis-21_1_sil=8000:lcm=predicate:random_seed=3545572325: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)
% 9.78/2.23 % (1089619)Instruction limit reached!
% 9.78/2.23 % (1089619)------------------------------
% 9.78/2.23 % (1089619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (1089619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (1089619)CaDiCaL version: 2.1.3
% 9.78/2.23 % (1089619)Termination reason: Instruction limit
% 9.78/2.23 % (1089619)Termination phase: Saturation
% 9.78/2.23 % (1089619)Time elapsed: 0.056 s
% 9.78/2.23 % (1089619)Peak memory usage: 88 MB
% 9.78/2.23 % (1089619)Instructions burned: 121 (million)
% 9.78/2.23 % (1089621)Instruction limit reached!
% 9.78/2.23 % (1089621)------------------------------
% 9.78/2.23 % (1089621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (1089621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (1089621)CaDiCaL version: 2.1.3
% 9.78/2.23 % (1089621)Termination reason: Instruction limit
% 9.78/2.23 % (1089621)Termination phase: Saturation
% 9.78/2.23 % (1089621)Time elapsed: 0.069 s
% 9.78/2.23 % (1089621)Peak memory usage: 90 MB
% 9.78/2.23 % (1089621)Instructions burned: 130 (million)
% 9.78/2.23 % (1089620)Instruction limit reached!
% 9.78/2.23 % (1089620)------------------------------
% 9.78/2.23 % (1089620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (1089620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (1089620)CaDiCaL version: 2.1.3
% 9.78/2.23 % (1089620)Termination reason: Instruction limit
% 9.78/2.23 % (1089620)Termination phase: Saturation
% 9.78/2.23 % (1089620)Time elapsed: 0.087 s
% 9.78/2.23 % (1089620)Peak memory usage: 90 MB
% 9.78/2.23 % (1089620)Instructions burned: 140 (million)
% 9.78/2.23 % (1089618)------------------------------
% 9.78/2.23 % (1089618)------------------------------
% 9.78/2.23 % (1089629)lrs+10_1_sil=8000:sp=occurrence:random_seed=4112356146:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.78/2.23 % (1089632)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=1605819275:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.78/2.23 % (1089630)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4083871546:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.78/2.23 % (1089631)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3383614685:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 16.47/3.15 % (1089632)Instruction limit reached!
% 16.47/3.15 % (1089632)------------------------------
% 16.47/3.15 % (1089632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.15 % (1089632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.15 % (1089632)CaDiCaL version: 2.1.3
% 16.47/3.15 % (1089632)Termination reason: Instruction limit
% 16.47/3.15 % (1089632)Termination phase: Saturation
% 16.47/3.15 % (1089632)Time elapsed: 0.063 s
% 16.47/3.15 % (1089632)Peak memory usage: 90 MB
% 16.47/3.15 % (1089632)Instructions burned: 248 (million)
% 16.47/3.15 % (1089630)Instruction limit reached!
% 16.47/3.15 % (1089630)------------------------------
% 16.47/3.15 % (1089630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.15 % (1089630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.15 % (1089630)CaDiCaL version: 2.1.3
% 16.47/3.15 % (1089630)Termination reason: Instruction limit
% 16.47/3.15 % (1089630)Termination phase: Saturation
% 16.47/3.15 % (1089630)Time elapsed: 0.075 s
% 16.47/3.15 % (1089630)Peak memory usage: 89 MB
% 16.47/3.15 % (1089630)Instructions burned: 159 (million)
% 16.47/3.15 % (1089629)Instruction limit reached!
% 16.47/3.15 % (1089629)------------------------------
% 16.47/3.15 % (1089629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.15 % (1089629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.15 % (1089629)CaDiCaL version: 2.1.3
% 16.47/3.15 % (1089629)Termination reason: Instruction limit
% 16.47/3.15 % (1089629)Termination phase: Saturation
% 16.47/3.15 % (1089629)Time elapsed: 0.141 s
% 16.47/3.15 % (1089629)Peak memory usage: 91 MB
% 16.47/3.15 % (1089629)Instructions burned: 285 (million)
% 16.47/3.15 % (1089637)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2071309154:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.47/3.15 % (1089631)Instruction limit reached!
% 16.47/3.15 % (1089631)------------------------------
% 16.47/3.15 % (1089631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.15 % (1089631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.15 % (1089631)CaDiCaL version: 2.1.3
% 16.47/3.15 % (1089631)Termination reason: Instruction limit
% 16.47/3.15 % (1089631)Termination phase: Saturation
% 16.47/3.15 % (1089631)Time elapsed: 0.165 s
% 16.47/3.15 % (1089631)Peak memory usage: 91 MB
% 16.47/3.15 % (1089631)Instructions burned: 327 (million)
% 16.47/3.15 % (1089638)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=560562082:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 16.47/3.15 % (1089637)Instruction limit reached!
% 16.47/3.15 % (1089637)------------------------------
% 16.47/3.15 % (1089637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.15 % (1089637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.15 % (1089637)CaDiCaL version: 2.1.3
% 16.47/3.15 % (1089637)Termination reason: Instruction limit
% 16.47/3.15 % (1089637)Termination phase: Saturation
% 16.47/3.15 % (1089637)Time elapsed: 0.071 s
% 16.47/3.15 % (1089637)Peak memory usage: 89 MB
% 16.47/3.15 % (1089637)Instructions burned: 294 (million)
% 16.47/3.15 % (1089639)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3160313471:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 16.47/3.15 % (1089641)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1913521343:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 16.47/3.15 % (1089643)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2385488700:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 16.47/3.15 % (1089641)Refutation not found, incomplete strategy
% 16.47/3.15 % (1089641)------------------------------
% 16.47/3.15 % (1089641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.47/3.15 % (1089641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.47/3.15 % (1089641)CaDiCaL version: 2.1.3
% 16.47/3.15 % (1089641)Termination reason: Refutation not found, incomplete strategy
% 16.47/3.15 % (1089641)Time elapsed: 0.027 s
% 16.47/3.15 % (1089641)Peak memory usage: 89 MB
% 16.47/3.15 % (1089641)Instructions burned: 55 (million)
% 16.47/3.15 % (1089643)Instruction limit reached!
% 16.47/3.15 % (1089643)------------------------------
% 16.47/3.15 % (1089643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.91/5.03 % (1089643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.91/5.03 % (1089643)CaDiCaL version: 2.1.3
% 28.91/5.03 % (1089643)Termination reason: Instruction limit
% 28.91/5.03 % (1089643)Termination phase: Saturation
% 28.91/5.03 % (1089643)Time elapsed: 0.027 s
% 28.91/5.03 % (1089643)Peak memory usage: 89 MB
% 28.91/5.03 % (1089643)Instructions burned: 114 (million)
% 28.91/5.03 % (1089639)Instruction limit reached!
% 28.91/5.03 % (1089639)------------------------------
% 28.91/5.03 % (1089639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.91/5.03 % (1089639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.91/5.03 % (1089639)CaDiCaL version: 2.1.3
% 28.91/5.03 % (1089639)Termination reason: Instruction limit
% 28.91/5.03 % (1089639)Termination phase: Saturation
% 28.91/5.03 % (1089639)Time elapsed: 0.058 s
% 28.91/5.03 % (1089639)Peak memory usage: 90 MB
% 28.91/5.03 % (1089639)Instructions burned: 113 (million)
% 28.91/5.03 % (1089648)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4165464025:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 28.91/5.03 % (1089648)Refutation not found, incomplete strategy
% 28.91/5.03 % (1089648)------------------------------
% 28.91/5.03 % (1089648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.91/5.03 % (1089648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.91/5.03 % (1089648)CaDiCaL version: 2.1.3
% 28.91/5.03 % (1089648)Termination reason: Refutation not found, incomplete strategy
% 28.91/5.03 % (1089648)Time elapsed: 0.010 s
% 28.91/5.03 % (1089648)Peak memory usage: 89 MB
% 28.91/5.03 % (1089648)Instructions burned: 34 (million)
% 28.91/5.03 % (1089647)lrs+10_1_sil=8000:sp=occurrence:random_seed=1020230617:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 28.91/5.03 % (1089641)------------------------------
% 28.91/5.03 % (1089641)------------------------------
% 28.91/5.03 % (1089648)------------------------------
% 28.91/5.03 % (1089648)------------------------------
% 28.91/5.03 % (1089652)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1715040845:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 28.91/5.03 % (1089651)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=643320374:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 28.91/5.03 % (1089652)Instruction limit reached!
% 28.91/5.03 % (1089652)------------------------------
% 28.91/5.03 % (1089652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.91/5.03 % (1089652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.91/5.03 % (1089652)CaDiCaL version: 2.1.3
% 28.91/5.03 % (1089652)Termination reason: Instruction limit
% 28.91/5.03 % (1089652)Termination phase: Saturation
% 28.91/5.03 % (1089652)Time elapsed: 0.036 s
% 28.91/5.03 % (1089652)Peak memory usage: 93 MB
% 28.91/5.03 % (1089652)Instructions burned: 135 (million)
% 28.91/5.03 % (1089655)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4293502311:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 28.91/5.03 % (1089647)Instruction limit reached!
% 28.91/5.03 % (1089647)------------------------------
% 28.91/5.03 % (1089647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.91/5.03 % (1089647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.91/5.03 % (1089647)CaDiCaL version: 2.1.3
% 28.91/5.03 % (1089647)Termination reason: Instruction limit
% 28.91/5.03 % (1089647)Termination phase: Saturation
% 28.91/5.03 % (1089647)Time elapsed: 0.428 s
% 28.91/5.03 % (1089647)Peak memory usage: 94 MB
% 28.91/5.03 % (1089647)Instructions burned: 909 (million)
% 28.91/5.03 % (1089655)Instruction limit reached!
% 28.91/5.03 % (1089655)------------------------------
% 28.91/5.03 % (1089655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.91/5.03 % (1089655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.91/5.03 % (1089655)CaDiCaL version: 2.1.3
% 28.91/5.03 % (1089655)Termination reason: Instruction limit
% 28.91/5.03 % (1089655)Termination phase: Saturation
% 28.91/5.03 % (1089655)Time elapsed: 0.159 s
% 28.91/5.03 % (1089655)Peak memory usage: 93 MB
% 28.91/5.03 % (1089655)Instructions burned: 593 (million)
% 28.91/5.03 % (1089657)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2527855348:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 63.12/9.76 % (1089658)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=1183940502:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 63.12/9.76 % (1089658)Instruction limit reached!
% 63.12/9.76 % (1089658)------------------------------
% 63.12/9.76 % (1089658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.12/9.76 % (1089658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.12/9.76 % (1089658)CaDiCaL version: 2.1.3
% 63.12/9.76 % (1089658)Termination reason: Instruction limit
% 63.12/9.76 % (1089658)Termination phase: Saturation
% 63.12/9.76 % (1089658)Time elapsed: 0.034 s
% 63.12/9.76 % (1089658)Peak memory usage: 91 MB
% 63.12/9.76 % (1089658)Instructions burned: 128 (million)
% 63.12/9.76 % (1089661)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3001029530:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 63.12/9.76 % (1089661)Instruction limit reached!
% 63.12/9.76 % (1089661)------------------------------
% 63.12/9.76 % (1089661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.12/9.76 % (1089661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.12/9.76 % (1089661)CaDiCaL version: 2.1.3
% 63.12/9.76 % (1089661)Termination reason: Instruction limit
% 63.12/9.76 % (1089661)Termination phase: Saturation
% 63.12/9.76 % (1089661)Time elapsed: 0.041 s
% 63.12/9.76 % (1089661)Peak memory usage: 91 MB
% 63.12/9.76 % (1089661)Instructions burned: 135 (million)
% 63.12/9.76 % (1089663)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3441146947:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 63.12/9.76 % (1089663)Refutation not found, incomplete strategy
% 63.12/9.76 % (1089663)------------------------------
% 63.12/9.76 % (1089663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.12/9.76 % (1089663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.12/9.76 % (1089663)CaDiCaL version: 2.1.3
% 63.12/9.76 % (1089663)Termination reason: Refutation not found, incomplete strategy
% 63.12/9.76 % (1089663)Time elapsed: 0.002 s
% 63.12/9.76 % (1089663)Peak memory usage: 88 MB
% 63.12/9.76 % (1089663)Instructions burned: 6 (million)
% 63.12/9.76 % (1089663)------------------------------
% 63.12/9.76 % (1089663)------------------------------
% 63.12/9.76 % (1089665)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=540093535:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2982 on theBenchmark for (2982ds/431Mi)
% 63.12/9.76 % (1089665)Refutation not found, incomplete strategy
% 63.12/9.76 % (1089665)------------------------------
% 63.12/9.76 % (1089665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.12/9.76 % (1089665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.12/9.76 % (1089665)CaDiCaL version: 2.1.3
% 63.12/9.76 % (1089665)Termination reason: Refutation not found, incomplete strategy
% 63.12/9.76 % (1089665)Time elapsed: 0.003 s
% 63.12/9.76 % (1089665)Peak memory usage: 88 MB
% 63.12/9.76 % (1089665)Instructions burned: 11 (million)
% 63.12/9.76 % (1089665)------------------------------
% 63.12/9.76 % (1089665)------------------------------
% 63.12/9.76 % (1089638)Instruction limit reached!
% 63.12/9.76 % (1089638)------------------------------
% 63.12/9.76 % (1089638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.12/9.76 % (1089638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.12/9.76 % (1089638)CaDiCaL version: 2.1.3
% 63.12/9.76 % (1089638)Termination reason: Instruction limit
% 63.12/9.76 % (1089638)Termination phase: Saturation
% 63.12/9.76 % (1089638)Time elapsed: 1.509 s
% 63.12/9.76 % (1089638)Peak memory usage: 143 MB
% 63.12/9.76 % (1089638)Instructions burned: 2350 (million)
% 63.12/9.76 % (1089667)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=3583817758:i=6060:aac=none:ins=25_2979 on theBenchmark for (2979ds/6060Mi)
% 63.12/9.76 % (1089668)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=222270322:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 63.12/9.76 % (1089668)Instruction limit reached!
% 63.12/9.76 % (1089668)------------------------------
% 84.14/12.79 % (1089668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.14/12.79 % (1089668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.14/12.79 % (1089668)CaDiCaL version: 2.1.3
% 84.14/12.79 % (1089668)Termination reason: Instruction limit
% 84.14/12.79 % (1089668)Termination phase: Saturation
% 84.14/12.79 % (1089668)Time elapsed: 0.076 s
% 84.14/12.79 % (1089668)Peak memory usage: 92 MB
% 84.14/12.79 % (1089668)Instructions burned: 151 (million)
% 84.14/12.79 % (1089671)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3655019052:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 84.14/12.79 % (1089651)Instruction limit reached!
% 84.14/12.79 % (1089651)------------------------------
% 84.14/12.79 % (1089651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.14/12.79 % (1089651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.14/12.79 % (1089651)CaDiCaL version: 2.1.3
% 84.14/12.79 % (1089651)Termination reason: Instruction limit
% 84.14/12.79 % (1089651)Termination phase: Saturation
% 84.14/12.79 % (1089651)Time elapsed: 2.485 s
% 84.14/12.79 % (1089651)Peak memory usage: 140 MB
% 84.14/12.79 % (1089651)Instructions burned: 5202 (million)
% 84.14/12.79 % (1089673)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=892108197:i=667:av=off:fsr=off_2964 on theBenchmark for (2964ds/667Mi)
% 84.14/12.79 % (1089673)Refutation not found, incomplete strategy
% 84.14/12.79 % (1089673)------------------------------
% 84.14/12.79 % (1089673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.14/12.79 % (1089673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.14/12.79 % (1089673)CaDiCaL version: 2.1.3
% 84.14/12.79 % (1089673)Termination reason: Refutation not found, incomplete strategy
% 84.14/12.79 % (1089673)Time elapsed: 0.023 s
% 84.14/12.79 % (1089673)Peak memory usage: 89 MB
% 84.14/12.79 % (1089673)Instructions burned: 47 (million)
% 84.14/12.79 % (1089667)Instruction limit reached!
% 84.14/12.79 % (1089667)------------------------------
% 84.14/12.79 % (1089667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.14/12.79 % (1089667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.14/12.79 % (1089667)CaDiCaL version: 2.1.3
% 84.14/12.79 % (1089667)Termination reason: Instruction limit
% 84.14/12.79 % (1089667)Termination phase: Saturation
% 84.14/12.79 % (1089667)Time elapsed: 1.685 s
% 84.14/12.79 % (1089667)Peak memory usage: 141 MB
% 84.14/12.79 % (1089667)Instructions burned: 6060 (million)
% 84.14/12.79 % (1089673)------------------------------
% 84.14/12.79 % (1089673)------------------------------
% 84.14/12.79 % (1089675)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=690931068:s2a=on:i=185:s2at=1.8:fdi=4_2961 on theBenchmark for (2961ds/185Mi)
% 84.14/12.79 % (1089675)Instruction limit reached!
% 84.14/12.79 % (1089675)------------------------------
% 84.14/12.79 % (1089675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.14/12.79 % (1089675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.14/12.79 % (1089675)CaDiCaL version: 2.1.3
% 84.14/12.79 % (1089675)Termination reason: Instruction limit
% 84.14/12.79 % (1089675)Termination phase: Saturation
% 84.14/12.79 % (1089675)Time elapsed: 0.052 s
% 84.14/12.79 % (1089675)Peak memory usage: 93 MB
% 84.14/12.79 % (1089675)Instructions burned: 187 (million)
% 84.14/12.79 % (1089676)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2646945049:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2960 on theBenchmark for (2960ds/193Mi)
% 84.14/12.79 % (1089678)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3638341963:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2959 on theBenchmark for (2959ds/4850Mi)
% 84.14/12.79 % (1089678)Refutation not found, incomplete strategy
% 84.14/12.79 % (1089678)------------------------------
% 84.14/12.79 % (1089678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 84.14/12.79 % (1089678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 84.14/12.79 % (1089678)CaDiCaL version: 2.1.3
% 84.14/12.79 % (1089678)Termination reason: Refutation not found, incomplete strategy
% 84.14/12.79 % (1089678)Time elapsed: 0.009 s
% 84.14/12.79 % (1089678)Peak memory usage: 89 MB
% 84.14/12.79 % (1089678)Instructions burned: 34 (million)
% 84.14/12.79 % (1089676)Instruction limit reached!
% 109.85/16.35 % (1089676)------------------------------
% 109.85/16.35 % (1089676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.85/16.35 % (1089676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.85/16.35 % (1089676)CaDiCaL version: 2.1.3
% 109.85/16.35 % (1089676)Termination reason: Instruction limit
% 109.85/16.35 % (1089676)Termination phase: Saturation
% 109.85/16.35 % (1089676)Time elapsed: 0.106 s
% 109.85/16.35 % (1089676)Peak memory usage: 90 MB
% 109.85/16.35 % (1089676)Instructions burned: 194 (million)
% 109.85/16.35 % (1089678)------------------------------
% 109.85/16.35 % (1089678)------------------------------
% 109.85/16.35 % (1089681)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3822728565:i=12111:sd=1:ss=included_2958 on theBenchmark for (2958ds/12111Mi)
% 109.85/16.35 % (1089682)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1704038316:i=319:kws=precedence:fsr=off_2957 on theBenchmark for (2957ds/319Mi)
% 109.85/16.35 % (1089682)Instruction limit reached!
% 109.85/16.35 % (1089682)------------------------------
% 109.85/16.35 % (1089682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.85/16.35 % (1089682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.85/16.35 % (1089682)CaDiCaL version: 2.1.3
% 109.85/16.35 % (1089682)Termination reason: Instruction limit
% 109.85/16.35 % (1089682)Termination phase: Saturation
% 109.85/16.35 % (1089682)Time elapsed: 0.087 s
% 109.85/16.35 % (1089682)Peak memory usage: 94 MB
% 109.85/16.35 % (1089682)Instructions burned: 320 (million)
% 109.85/16.35 % (1089685)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2303441080:i=2064:ep=RST_2955 on theBenchmark for (2955ds/2064Mi)
% 109.85/16.35 % (1089685)Instruction limit reached!
% 109.85/16.35 % (1089685)------------------------------
% 109.85/16.35 % (1089685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.85/16.35 % (1089685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.85/16.35 % (1089685)CaDiCaL version: 2.1.3
% 109.85/16.35 % (1089685)Termination reason: Instruction limit
% 109.85/16.35 % (1089685)Termination phase: Saturation
% 109.85/16.35 % (1089685)Time elapsed: 0.522 s
% 109.85/16.35 % (1089685)Peak memory usage: 97 MB
% 109.85/16.35 % (1089685)Instructions burned: 2066 (million)
% 109.85/16.35 % (1089687)dis-1011_128_sil=32000:random_seed=922739375:i=3706:ep=RST:av=off_2949 on theBenchmark for (2949ds/3706Mi)
% 109.85/16.35 % (1089687)Instruction limit reached!
% 109.85/16.35 % (1089687)------------------------------
% 109.85/16.35 % (1089687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.85/16.35 % (1089687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.85/16.35 % (1089687)CaDiCaL version: 2.1.3
% 109.85/16.35 % (1089687)Termination reason: Instruction limit
% 109.85/16.35 % (1089687)Termination phase: Saturation
% 109.85/16.35 % (1089687)Time elapsed: 0.669 s
% 109.85/16.35 % (1089687)Peak memory usage: 89 MB
% 109.85/16.35 % (1089687)Instructions burned: 3712 (million)
% 109.85/16.35 % (1089689)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1621920126:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2941 on theBenchmark for (2941ds/757Mi)
% 109.85/16.35 % (1089689)Instruction limit reached!
% 109.85/16.35 % (1089689)------------------------------
% 109.85/16.35 % (1089689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.85/16.35 % (1089689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.85/16.35 % (1089689)CaDiCaL version: 2.1.3
% 109.85/16.35 % (1089689)Termination reason: Instruction limit
% 109.85/16.35 % (1089689)Termination phase: Saturation
% 109.85/16.35 % (1089689)Time elapsed: 0.251 s
% 109.85/16.35 % (1089689)Peak memory usage: 99 MB
% 109.85/16.35 % (1089689)Instructions burned: 758 (million)
% 109.85/16.35 % (1089691)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3676975572:i=13913:ss=axioms:sgt=8_2938 on theBenchmark for (2938ds/13913Mi)
% 109.85/16.35 % (1089657)Instruction limit reached!
% 109.85/16.35 % (1089657)------------------------------
% 109.85/16.35 % (1089657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 109.85/16.35 % (1089657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 109.85/16.35 % (1089657)CaDiCaL version: 2.1.3
% 109.85/16.35 % (1089657)Termination reason: Instruction limit
% 109.85/16.35 % (1089657)Termination phase: Saturation
% 109.85/16.35 % (1089657)Time elapsed: 7.527 s
% 109.85/16.35 % (1089657)Peak memory usage: 169 MB
% 123.31/18.23 % (1089657)Instructions burned: 13194 (million)
% 123.31/18.23 % (1089693)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=4098386533:i=9925:aac=none_2910 on theBenchmark for (2910ds/9925Mi)
% 123.31/18.23 % (1089671)Instruction limit reached!
% 123.31/18.23 % (1089671)------------------------------
% 123.31/18.23 % (1089671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.31/18.23 % (1089671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.31/18.23 % (1089671)CaDiCaL version: 2.1.3
% 123.31/18.23 % (1089671)Termination reason: Instruction limit
% 123.31/18.23 % (1089671)Termination phase: Saturation
% 123.31/18.23 % (1089671)Time elapsed: 7.693 s
% 123.31/18.23 % (1089671)Peak memory usage: 167 MB
% 123.31/18.23 % (1089671)Instructions burned: 14155 (million)
% 123.31/18.23 % (1089691)Instruction limit reached!
% 123.31/18.23 % (1089691)------------------------------
% 123.31/18.23 % (1089691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.31/18.23 % (1089691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.31/18.23 % (1089691)CaDiCaL version: 2.1.3
% 123.31/18.23 % (1089691)Termination reason: Instruction limit
% 123.31/18.23 % (1089691)Termination phase: Saturation
% 123.31/18.23 % (1089691)Time elapsed: 3.894 s
% 123.31/18.23 % (1089691)Peak memory usage: 171 MB
% 123.31/18.23 % (1089691)Instructions burned: 13917 (million)
% 123.31/18.23 % (1089696)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=403054277:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2898 on theBenchmark for (2898ds/440Mi)
% 123.31/18.23 % (1089695)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3357733612:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2898 on theBenchmark for (2898ds/2479Mi)
% 123.31/18.23 % (1089696)Instruction limit reached!
% 123.31/18.23 % (1089696)------------------------------
% 123.31/18.23 % (1089696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.31/18.23 % (1089696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.31/18.23 % (1089696)CaDiCaL version: 2.1.3
% 123.31/18.23 % (1089696)Termination reason: Instruction limit
% 123.31/18.23 % (1089696)Termination phase: Saturation
% 123.31/18.23 % (1089696)Time elapsed: 0.114 s
% 123.31/18.23 % (1089696)Peak memory usage: 91 MB
% 123.31/18.23 % (1089696)Instructions burned: 443 (million)
% 123.31/18.23 % (1089699)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1422447278:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2896 on theBenchmark for (2896ds/11145Mi)
% 123.31/18.23 % (1089681)Instruction limit reached!
% 123.31/18.23 % (1089681)------------------------------
% 123.31/18.23 % (1089681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.31/18.23 % (1089681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.31/18.23 % (1089681)CaDiCaL version: 2.1.3
% 123.31/18.23 % (1089681)Termination reason: Instruction limit
% 123.31/18.23 % (1089681)Termination phase: Saturation
% 123.31/18.23 % (1089681)Time elapsed: 6.158 s
% 123.31/18.23 % (1089681)Peak memory usage: 266 MB
% 123.31/18.23 % (1089681)Instructions burned: 12111 (million)
% 123.31/18.23 % (1089701)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2981178311:cts=off:i=3034:av=off:er=known:fsd=on_2895 on theBenchmark for (2895ds/3034Mi)
% 123.31/18.23 % (1089695)Instruction limit reached!
% 123.31/18.23 % (1089695)------------------------------
% 123.31/18.23 % (1089695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.31/18.23 % (1089695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 123.31/18.23 % (1089695)CaDiCaL version: 2.1.3
% 123.31/18.23 % (1089695)Termination reason: Instruction limit
% 123.31/18.23 % (1089695)Termination phase: Saturation
% 123.31/18.23 % (1089695)Time elapsed: 1.320 s
% 123.31/18.23 % (1089695)Peak memory usage: 103 MB
% 123.31/18.23 % (1089695)Instructions burned: 2480 (million)
% 123.31/18.23 % (1089703)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1163962850:st=2:s2a=on:i=524:s2at=2:ss=axioms_2884 on theBenchmark for (2884ds/524Mi)
% 123.31/18.23 % (1089703)Instruction limit reached!
% 123.31/18.23 % (1089703)------------------------------
% 123.31/18.23 % (1089703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 123.31/18.23 % (1089703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089703)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089703)Termination reason: Instruction limit
% 143.56/21.10 % (1089703)Termination phase: Saturation
% 143.56/21.10 % (1089703)Time elapsed: 0.223 s
% 143.56/21.10 % (1089703)Peak memory usage: 92 MB
% 143.56/21.10 % (1089703)Instructions burned: 524 (million)
% 143.56/21.10 % (1089705)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3250407691:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2880 on theBenchmark for (2880ds/1016Mi)
% 143.56/21.10 % (1089701)Instruction limit reached!
% 143.56/21.10 % (1089701)------------------------------
% 143.56/21.10 % (1089701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089701)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089701)Termination reason: Instruction limit
% 143.56/21.10 % (1089701)Termination phase: Saturation
% 143.56/21.10 % (1089701)Time elapsed: 1.687 s
% 143.56/21.10 % (1089701)Peak memory usage: 136 MB
% 143.56/21.10 % (1089701)Instructions burned: 3034 (million)
% 143.56/21.10 % (1089707)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=58721490:i=14123:bd=preordered:ins=4_2877 on theBenchmark for (2877ds/14123Mi)
% 143.56/21.10 % (1089705)Instruction limit reached!
% 143.56/21.10 % (1089705)------------------------------
% 143.56/21.10 % (1089705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089705)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089705)Termination reason: Instruction limit
% 143.56/21.10 % (1089705)Termination phase: Saturation
% 143.56/21.10 % (1089705)Time elapsed: 0.511 s
% 143.56/21.10 % (1089705)Peak memory usage: 92 MB
% 143.56/21.10 % (1089705)Instructions burned: 1016 (million)
% 143.56/21.10 % (1089709)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=101924308:i=5781:kws=precedence:bd=all:rawr=on_2874 on theBenchmark for (2874ds/5781Mi)
% 143.56/21.10 % (1089693)Instruction limit reached!
% 143.56/21.10 % (1089693)------------------------------
% 143.56/21.10 % (1089693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089693)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089693)Termination reason: Instruction limit
% 143.56/21.10 % (1089693)Termination phase: Saturation
% 143.56/21.10 % (1089693)Time elapsed: 4.928 s
% 143.56/21.10 % (1089693)Peak memory usage: 185 MB
% 143.56/21.10 % (1089693)Instructions burned: 9925 (million)
% 143.56/21.10 % (1089699)Instruction limit reached!
% 143.56/21.10 % (1089699)------------------------------
% 143.56/21.10 % (1089699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089699)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089699)Termination reason: Instruction limit
% 143.56/21.10 % (1089699)Termination phase: Saturation
% 143.56/21.10 % (1089699)Time elapsed: 3.658 s
% 143.56/21.10 % (1089699)Peak memory usage: 192 MB
% 143.56/21.10 % (1089699)Instructions burned: 11147 (million)
% 143.56/21.10 % (1089711)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3847427648:i=2448:gtgl=5:bd=preordered:gtg=all_2860 on theBenchmark for (2860ds/2448Mi)
% 143.56/21.10 % (1089712)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=262898729:i=3223:kws=precedence:fgj=on:av=off_2858 on theBenchmark for (2858ds/3223Mi)
% 143.56/21.10 % (1089712)Instruction limit reached!
% 143.56/21.10 % (1089712)------------------------------
% 143.56/21.10 % (1089712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089712)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089712)Termination reason: Instruction limit
% 143.56/21.10 % (1089712)Termination phase: Saturation
% 143.56/21.10 % (1089712)Time elapsed: 1.114 s
% 143.56/21.10 % (1089712)Peak memory usage: 143 MB
% 143.56/21.10 % (1089712)Instructions burned: 3226 (million)
% 143.56/21.10 % (1089717)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=4271596925:st=5.6:i=2033:sd=3:ss=axioms_2846 on theBenchmark for (2846ds/2033Mi)
% 143.56/21.10 % (1089711)Instruction limit reached!
% 143.56/21.10 % (1089711)------------------------------
% 143.56/21.10 % (1089711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089711)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089711)Termination reason: Instruction limit
% 143.56/21.10 % (1089711)Termination phase: Saturation
% 143.56/21.10 % (1089711)Time elapsed: 1.377 s
% 143.56/21.10 % (1089711)Peak memory usage: 136 MB
% 143.56/21.10 % (1089711)Instructions burned: 2450 (million)
% 143.56/21.10 % (1089719)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=839246443:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2844 on theBenchmark for (2844ds/2055Mi)
% 143.56/21.10 % (1089709)Instruction limit reached!
% 143.56/21.10 % (1089709)------------------------------
% 143.56/21.10 % (1089709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089709)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089709)Termination reason: Instruction limit
% 143.56/21.10 % (1089709)Termination phase: Saturation
% 143.56/21.10 % (1089709)Time elapsed: 2.980 s
% 143.56/21.10 % (1089709)Peak memory usage: 133 MB
% 143.56/21.10 % (1089709)Instructions burned: 5782 (million)
% 143.56/21.10 % (1089721)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1338063760:i=21611:sd=3:ss=axioms_2843 on theBenchmark for (2843ds/21611Mi)
% 143.56/21.10 % (1089717)Instruction limit reached!
% 143.56/21.10 % (1089717)------------------------------
% 143.56/21.10 % (1089717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089717)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089717)Termination reason: Instruction limit
% 143.56/21.10 % (1089717)Termination phase: Saturation
% 143.56/21.10 % (1089717)Time elapsed: 0.638 s
% 143.56/21.10 % (1089717)Peak memory usage: 135 MB
% 143.56/21.10 % (1089717)Instructions burned: 2037 (million)
% 143.56/21.10 % (1089723)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2789493050:i=4835:sd=13:ss=axioms:sgt=23_2839 on theBenchmark for (2839ds/4835Mi)
% 143.56/21.10 % (1089719)Instruction limit reached!
% 143.56/21.10 % (1089719)------------------------------
% 143.56/21.10 % (1089719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089719)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089719)Termination reason: Instruction limit
% 143.56/21.10 % (1089719)Termination phase: Saturation
% 143.56/21.10 % (1089719)Time elapsed: 1.169 s
% 143.56/21.10 % (1089719)Peak memory usage: 133 MB
% 143.56/21.10 % (1089719)Instructions burned: 2055 (million)
% 143.56/21.10 % (1089725)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2380134629:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2831 on theBenchmark for (2831ds/797Mi)
% 143.56/21.10 % (1089725)Instruction limit reached!
% 143.56/21.10 % (1089725)------------------------------
% 143.56/21.10 % (1089725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089725)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089725)Termination reason: Instruction limit
% 143.56/21.10 % (1089725)Termination phase: Saturation
% 143.56/21.10 % (1089725)Time elapsed: 0.289 s
% 143.56/21.10 % (1089725)Peak memory usage: 89 MB
% 143.56/21.10 % (1089725)Instructions burned: 800 (million)
% 143.56/21.10 % (1089723)Instruction limit reached!
% 143.56/21.10 % (1089723)------------------------------
% 143.56/21.10 % (1089723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089723)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089723)Termination reason: Instruction limit
% 143.56/21.10 % (1089723)Termination phase: Saturation
% 143.56/21.10 % (1089723)Time elapsed: 1.151 s
% 143.56/21.10 % (1089723)Peak memory usage: 102 MB
% 143.56/21.10 % (1089723)Instructions burned: 4839 (million)
% 143.56/21.10 % (1089728)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1542432609:i=6038:nm=6_2827 on theBenchmark for (2827ds/6038Mi)
% 143.56/21.10 % (1089727)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3412878679:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2827 on theBenchmark for (2827ds/2326Mi)
% 143.56/21.10 % (1089728)Refutation not found, incomplete strategy
% 143.56/21.10 % (1089728)------------------------------
% 143.56/21.10 % (1089728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089728)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089728)Termination reason: Refutation not found, incomplete strategy
% 143.56/21.10 % (1089728)Time elapsed: 0.380 s
% 143.56/21.10 % (1089728)Peak memory usage: 134 MB
% 143.56/21.10 % (1089728)Instructions burned: 951 (million)
% 143.56/21.10 % (1089728)------------------------------
% 143.56/21.10 % (1089728)------------------------------
% 143.56/21.10 % (1089731)lrs+10_1_sil=32000:sp=occurrence:random_seed=183500880:st=2:i=33334:sd=3:ss=included:sgt=32_2820 on theBenchmark for (2820ds/33334Mi)
% 143.56/21.10 % (1089727)Instruction limit reached!
% 143.56/21.10 % (1089727)------------------------------
% 143.56/21.10 % (1089727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089727)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089727)Termination reason: Instruction limit
% 143.56/21.10 % (1089727)Termination phase: Saturation
% 143.56/21.10 % (1089727)Time elapsed: 0.904 s
% 143.56/21.10 % (1089727)Peak memory usage: 91 MB
% 143.56/21.10 % (1089727)Instructions burned: 2328 (million)
% 143.56/21.10 % (1089733)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=821738138:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2817 on theBenchmark for (2817ds/1008Mi)
% 143.56/21.10 % (1089707)Instruction limit reached!
% 143.56/21.10 % (1089707)------------------------------
% 143.56/21.10 % (1089707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089707)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089707)Termination reason: Instruction limit
% 143.56/21.10 % (1089707)Termination phase: Saturation
% 143.56/21.10 % (1089707)Time elapsed: 6.279 s
% 143.56/21.10 % (1089707)Peak memory usage: 145 MB
% 143.56/21.10 % (1089707)Instructions burned: 14124 (million)
% 143.56/21.10 % (1089735)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=1541967213:i=8327:s2at=5:bd=preordered_2812 on theBenchmark for (2812ds/8327Mi)
% 143.56/21.10 % (1089733)Instruction limit reached!
% 143.56/21.10 % (1089733)------------------------------
% 143.56/21.10 % (1089733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089733)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089733)Termination reason: Instruction limit
% 143.56/21.10 % (1089733)Termination phase: Saturation
% 143.56/21.10 % (1089733)Time elapsed: 0.538 s
% 143.56/21.10 % (1089733)Peak memory usage: 130 MB
% 143.56/21.10 % (1089733)Instructions burned: 1008 (million)
% 143.56/21.10 % (1089737)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1816576863:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2810 on theBenchmark for (2810ds/1083Mi)
% 143.56/21.10 % (1089737)Instruction limit reached!
% 143.56/21.10 % (1089737)------------------------------
% 143.56/21.10 % (1089737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.10 % (1089737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.10 % (1089737)CaDiCaL version: 2.1.3
% 143.56/21.10 % (1089737)Termination reason: Instruction limit
% 143.56/21.10 % (1089737)Termination phase: Saturation
% 143.56/21.10 % (1089737)Time elapsed: 0.502 s
% 143.56/21.10 % (1089737)Peak memory usage: 111 MB
% 143.56/21.10 % (1089737)Instructions burned: 1084 (million)
% 143.56/21.10 % (1089739)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1386346972:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2804 on theBenchmark for (2804ds/1084Mi)
% 143.56/21.10 % (1089615)First to succeed.
% 143.56/21.10 % (1089615)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1089610"
% 143.56/21.10 % (1089615)Refutation found. Thanks to Tanya!
% 143.56/21.10 % SZS status Theorem for theBenchmark
% 143.56/21.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/21.30 % (1089615)------------------------------
% 0.18/21.30 % (1089615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/21.30 % (1089615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/21.30 % (1089615)CaDiCaL version: 2.1.3
% 0.18/21.30 % (1089615)Termination reason: Refutation
% 0.18/21.30 % (1089615)Time elapsed: 19.791 s
% 0.18/21.30 % (1089615)Peak memory usage: 269 MB
% 0.18/21.30 % (1089615)Instructions burned: 34966 (million)
% 0.18/21.30 % (1089615)------------------------------
% 0.18/21.30 % (1089615)------------------------------
% 0.18/21.30 % (1089610)Success in time 20.248 s
% 0.18/21.30 % Vampire exiting
%------------------------------------------------------------------------------