%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO325+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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:27 AM UTC 2026
% Result : Theorem 69.46s 20.92s
% Output : Refutation 143.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 137
% Syntax : Number of formulae : 818 ( 215 unt; 101 def)
% Number of atoms : 4716 ( 888 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 7111 (3213 ~;3573 |; 201 &)
% ( 108 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 109 ( 107 usr; 100 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-3 aty)
% Number of variables : 1316 ( 0 sgn1263 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1289,vd1302,vd1288) = vangle(vd1288,vd1329,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(376), 1346, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1289,vd1302,vd1288) != vangle(vd1288,vd1329,vd1289),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(374, 1342, 0)') ).
fof(f9,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f10,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(f12,axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(367), 1330, 0)') ).
fof(f13,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f14,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f15,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(f16,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f17,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(f18,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(f19,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(f25,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f26,axiom,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(367), 1331, 0)') ).
fof(f27,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f63,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f71,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f73,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f78,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(370)), 0)') ).
fof(f82,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(369)), 0)') ).
fof(f86,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(f91,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(f92,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(f96,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& rcenter(X2,X3)
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f97,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(f98,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(f103,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(f107,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(f112,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f118,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(f128,axiom,
! [X0,X1,X2,X3,X4] :
( ( rR(X2,X0,X1)
& ~ rinside(X2,X3)
& ( ron(X0,X3)
| rinside(X0,X3) )
& X3 = X4
& rcircle(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ( ~ ron(X1,X3)
& ~ ron(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f130,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(f140,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(f176,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(f185,plain,
vangle(vd1289,vd1302,vd1288) != vangle(vd1288,vd1329,vd1289),
inference(flattening,[],[f2]) ).
fof(f190,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,[],[f10]) ).
fof(f191,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,[],[f190]) ).
fof(f192,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,[],[f18]) ).
fof(f193,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,[],[f192]) ).
fof(f194,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,[],[f19]) ).
fof(f195,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,[],[f194]) ).
fof(f249,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,[],[f86]) ).
fof(f250,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,[],[f249]) ).
fof(f259,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,[],[f91]) ).
fof(f260,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,[],[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,[],[f92]) ).
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(f269,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f270,plain,
! [X0,X1,X2,X3] :
( ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) )
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f269]) ).
fof(f271,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,[],[f97]) ).
fof(f272,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,[],[f271]) ).
fof(f273,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,[],[f98]) ).
fof(f274,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,[],[f273]) ).
fof(f283,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,[],[f103]) ).
fof(f284,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f283]) ).
fof(f291,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,[],[f107]) ).
fof(f292,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f291]) ).
fof(f309,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f118]) ).
fof(f328,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ( ~ ron(X0,X3)
& ~ rinside(X0,X3) )
| X3 != X4
| ~ rcircle(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f329,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ( ~ ron(X0,X3)
& ~ rinside(X0,X3) )
| X3 != X4
| ~ rcircle(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f328]) ).
fof(f332,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(ennf_transformation,[],[f130]) ).
fof(f333,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,[],[f332]) ).
fof(f352,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,[],[f140]) ).
fof(f353,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,[],[f352]) ).
fof(f417,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,[],[f176]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f417]) ).
fof(f433,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK1
& rpoint(sK1)
& vd1288 = sK2
& rpoint(sK2)
& vd1287 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f17]) ).
fof(f442,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f250]) ).
fof(f443,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f442]) ).
fof(f446,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(f447,plain,
! [X0,X1] :
( ( ron(X1,sK8(X0,X1))
& ron(X0,sK8(X0,X1))
& rline(sK8(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f446]) ).
fof(f448,plain,
! [X0,X1,X2,X3] :
( ( ( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3) )
& ( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1)) ) )
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(nnf_transformation,[],[f270]) ).
fof(f449,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,[],[f272]) ).
fof(f454,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,[],[f292]) ).
fof(f455,plain,
! [X0,X1] :
( ( ron(X1,sK12(X0,X1))
& rcenter(X0,sK12(X0,X1))
& rcircle(sK12(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f454]) ).
fof(f509,plain,
vangle(vd1289,vd1302,vd1288) != vangle(vd1288,vd1329,vd1289),
inference(cnf_transformation,[],[f185]) ).
fof(f514,plain,
vangle(vd1289,vd1287,vd1288) = vangle(vd1302,vd1287,vd1288),
inference(cnf_transformation,[],[f7]) ).
fof(f516,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f9]) ).
fof(f517,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,[],[f191]) ).
fof(f519,plain,
rR(vd1329,vd1287,vd1299),
inference(cnf_transformation,[],[f12]) ).
fof(f520,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f13]) ).
fof(f521,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f14]) ).
fof(f522,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f15]) ).
fof(f523,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f15]) ).
fof(f524,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f15]) ).
fof(f525,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f15]) ).
fof(f526,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f16]) ).
fof(f527,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f433]) ).
fof(f528,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f433]) ).
fof(f529,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f433]) ).
fof(f530,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f433]) ).
fof(f531,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f433]) ).
fof(f532,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f433]) ).
fof(f535,plain,
vd1289 != vd1288,
inference(cnf_transformation,[],[f433]) ).
fof(f536,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f433]) ).
fof(f537,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,[],[f193]) ).
fof(f538,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,[],[f195]) ).
fof(f539,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,[],[f195]) ).
fof(f540,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,[],[f195]) ).
fof(f541,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,[],[f195]) ).
fof(f556,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f25]) ).
fof(f557,plain,
vf(vd1287,vd1302) = vf(vd1287,vd1329),
inference(cnf_transformation,[],[f26]) ).
fof(f558,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f27]) ).
fof(f595,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f63]) ).
fof(f603,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f71]) ).
fof(f605,plain,
rline(vd1295),
inference(cnf_transformation,[],[f73]) ).
fof(f610,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f78]) ).
fof(f614,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f82]) ).
fof(f620,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f443]) ).
fof(f621,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f443]) ).
fof(f628,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,[],[f260]) ).
fof(f629,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f447]) ).
fof(f630,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f447]) ).
fof(f631,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f447]) ).
fof(f635,plain,
! [X2,X3,X0,X1,X4,X5] :
( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X1))
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f448]) ).
fof(f636,plain,
! [X2,X3,X0,X1,X4,X5] :
( rless(vf(X2,X0),vf(X2,X1))
| ~ rinside(X0,X3)
| ~ ron(X1,X3)
| ~ rcenter(X2,X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f448]) ).
fof(f637,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,[],[f449]) ).
fof(f639,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,[],[f274]) ).
fof(f646,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,[],[f284]) ).
fof(f659,plain,
! [X3,X0,X1,X4] :
( rcircle(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f455]) ).
fof(f660,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f455]) ).
fof(f661,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f455]) ).
fof(f666,plain,
v0 = vd684,
inference(cnf_transformation,[],[f112]) ).
fof(f687,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f309]) ).
fof(f701,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ~ rinside(X0,X3)
| X3 != X4
| ~ rcircle(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f329]) ).
fof(f709,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,[],[f333]) ).
fof(f719,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,[],[f353]) ).
fof(f825,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,[],[f418]) ).
fof(f836,plain,
vangle(sK1,vd1303,sK2) != vangle(sK2,vd1329,sK1),
inference(definition_unfolding,[],[f509,f532,f525,f530,f530,f532]) ).
fof(f841,plain,
vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2),
inference(definition_unfolding,[],[f514,f532,f528,f530,f525,f528,f530]) ).
fof(f843,plain,
~ rR(sK3,sK2,vd1329),
inference(definition_unfolding,[],[f516,f528,f530]) ).
fof(f845,plain,
rR(vd1329,sK3,vd1300),
inference(definition_unfolding,[],[f519,f528,f521]) ).
fof(f846,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f524,f532,f528,f525]) ).
fof(f847,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f522,f530,f528,f521]) ).
fof(f848,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f536,f528,f530,f528,f532]) ).
fof(f849,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f535,f532,f530]) ).
fof(f854,plain,
vd1329 != sK3,
inference(definition_unfolding,[],[f556,f528]) ).
fof(f855,plain,
vf(sK3,vd1303) = vf(sK3,vd1329),
inference(definition_unfolding,[],[f557,f528,f525,f528]) ).
fof(f856,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f558,f532,f528]) ).
fof(f890,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f595,f530,f528]) ).
fof(f897,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f603,f530]) ).
fof(f902,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f614,f528]) ).
fof(f904,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,[],[f621,f666]) ).
fof(f905,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,[],[f620,f666]) ).
fof(f912,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,[],[f517]) ).
fof(f913,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,[],[f912]) ).
fof(f914,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,[],[f913]) ).
fof(f915,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,[],[f914]) ).
fof(f916,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,[],[f915]) ).
fof(f917,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,[],[f916]) ).
fof(f918,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f917]) ).
fof(f919,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,[],[f537]) ).
fof(f920,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,[],[f919]) ).
fof(f921,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,[],[f920]) ).
fof(f922,plain,
! [X6,X7,X4,X5] :
( rR(X6,X7,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f921]) ).
fof(f923,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,[],[f541]) ).
fof(f924,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f923]) ).
fof(f925,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f924]) ).
fof(f926,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,[],[f540]) ).
fof(f927,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f926]) ).
fof(f928,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f927]) ).
fof(f929,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f928]) ).
fof(f930,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,[],[f539]) ).
fof(f931,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f930]) ).
fof(f932,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f931]) ).
fof(f933,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f932]) ).
fof(f934,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,[],[f538]) ).
fof(f935,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f934]) ).
fof(f936,plain,
! [X3,X4,X5] :
( rR(X4,X3,X5)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f935]) ).
fof(f1063,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,[],[f904]) ).
fof(f1064,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,[],[f1063]) ).
fof(f1065,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,[],[f1064]) ).
fof(f1066,plain,
! [X3,X1,X7,X5] :
( ron(X5,X7)
| 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,[],[f1065]) ).
fof(f1067,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,[],[f905]) ).
fof(f1068,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,[],[f1067]) ).
fof(f1069,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,[],[f1068]) ).
fof(f1070,plain,
! [X3,X1,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| rR(X1,X3,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,[],[f1069]) ).
fof(f1081,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,[],[f628]) ).
fof(f1082,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,[],[f1081]) ).
fof(f1083,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,[],[f1082]) ).
fof(f1084,plain,
! [X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1083]) ).
fof(f1085,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f631]) ).
fof(f1086,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1085]) ).
fof(f1087,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f630]) ).
fof(f1088,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1087]) ).
fof(f1089,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f629]) ).
fof(f1090,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1089]) ).
fof(f1097,plain,
! [X2,X3,X0,X4,X5] :
( rless(vf(X2,X0),vf(X2,X4))
| ~ rinside(X0,X3)
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f636]) ).
fof(f1098,plain,
! [X2,X3,X4,X5] :
( rless(vf(X2,X5),vf(X2,X4))
| ~ rinside(X5,X3)
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1097]) ).
fof(f1099,plain,
! [X2,X3,X0,X4,X5] :
( rinside(X0,X3)
| ~ rless(vf(X2,X0),vf(X2,X4))
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f635]) ).
fof(f1100,plain,
! [X2,X3,X4,X5] :
( rinside(X5,X3)
| ~ rless(vf(X2,X5),vf(X2,X4))
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1099]) ).
fof(f1103,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,[],[f637]) ).
fof(f1104,plain,
! [X2,X3,X1,X5] :
( ron(X1,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1103]) ).
fof(f1105,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,[],[f639]) ).
fof(f1106,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,[],[f1105]) ).
fof(f1107,plain,
! [X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1106]) ).
fof(f1126,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,[],[f646]) ).
fof(f1127,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,[],[f1126]) ).
fof(f1128,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,[],[f1127]) ).
fof(f1129,plain,
! [X6,X7,X4,X5] :
( rR(X4,X7,X5)
| ~ rR(X4,X7,X6)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1128]) ).
fof(f1162,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f661]) ).
fof(f1163,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1162]) ).
fof(f1164,plain,
! [X3,X0,X4] :
( rcenter(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f660]) ).
fof(f1165,plain,
! [X3,X4] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1164]) ).
fof(f1166,plain,
! [X3,X0,X4] :
( rcircle(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f659]) ).
fof(f1167,plain,
! [X3,X4] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1166]) ).
fof(f1277,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X4)
| ~ rR(X2,X0,X1)
| rinside(X2,X4)
| ~ rinside(X0,X4)
| ~ rcircle(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f701]) ).
fof(f1278,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X4)
| ~ rR(X5,X0,X1)
| rinside(X5,X4)
| ~ rinside(X0,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1277]) ).
fof(f1279,plain,
! [X0,X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rR(X5,X0,X6)
| rinside(X5,X4)
| ~ rinside(X0,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1278]) ).
fof(f1280,plain,
! [X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rR(X5,X7,X6)
| rinside(X5,X4)
| ~ rinside(X7,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1279]) ).
fof(f1301,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,[],[f709]) ).
fof(f1302,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,[],[f1301]) ).
fof(f1303,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,[],[f1302]) ).
fof(f1304,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,[],[f1303]) ).
fof(f1305,plain,
! [X8,X6,X9,X7,X4] :
( rR(X9,X8,X7)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X9,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1304]) ).
fof(f1350,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,[],[f719]) ).
fof(f1351,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,[],[f1350]) ).
fof(f1352,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,[],[f1351]) ).
fof(f1353,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1352]) ).
fof(f1636,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,[],[f825]) ).
fof(f1637,plain,
! [X2,X3,X6,X4,X5] :
( X3 = X4
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1636]) ).
fof(f1682,definition,
sF52 = vangle(sK1,vd1303,sK2),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1683,plain,
vangle(sK1,vd1303,sK2) = sF52,
inference(reorient_equations,[],[f1682]) ).
fof(f1684,definition,
sF53 = vangle(sK2,vd1329,sK1),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1685,plain,
vangle(sK2,vd1329,sK1) = sF53,
inference(reorient_equations,[],[f1684]) ).
fof(f1686,plain,
sF52 != sF53,
inference(definition_folding,[],[f836,f1685,f1683]) ).
fof(f1688,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f933]) ).
fof(f1689,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f929]) ).
fof(f1692,definition,
( spl54_1
<=> rpoint(sK1) ),
introduced(definition,[new_symbols(definition,[spl54_1])],[avatar_definition]) ).
fof(f1694,plain,
( rpoint(sK1)
| ~ spl54_1 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1695,plain,
spl54_1,
inference(avatar_split_clause,[],[f531,f1692]) ).
fof(f1697,definition,
( spl54_2
<=> rpoint(sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).
fof(f1699,plain,
( rpoint(sK2)
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1700,plain,
spl54_2,
inference(avatar_split_clause,[],[f529,f1697]) ).
fof(f1702,definition,
( spl54_3
<=> rpoint(sK3) ),
introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).
fof(f1704,plain,
( rpoint(sK3)
| ~ spl54_3 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1705,plain,
spl54_3,
inference(avatar_split_clause,[],[f527,f1702]) ).
fof(f1707,definition,
( spl54_4
<=> vangle(sK2,vd1329,sK1) = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_4])],[avatar_definition]) ).
fof(f1709,plain,
( vangle(sK2,vd1329,sK1) = sF53
| ~ spl54_4 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1710,plain,
spl54_4,
inference(avatar_split_clause,[],[f1685,f1707]) ).
fof(f1712,definition,
( spl54_5
<=> vangle(sK1,vd1303,sK2) = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).
fof(f1714,plain,
( vangle(sK1,vd1303,sK2) = sF52
| ~ spl54_5 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f1715,plain,
spl54_5,
inference(avatar_split_clause,[],[f1683,f1712]) ).
fof(f1717,definition,
( spl54_6
<=> sF52 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).
fof(f1719,plain,
( sF52 != sF53
| spl54_6 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f1720,plain,
~ spl54_6,
inference(avatar_split_clause,[],[f1686,f1717]) ).
fof(f1722,definition,
( spl54_7
<=> ! [X4,X5,X3] :
( rR(X4,X3,X5)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).
fof(f1723,plain,
( ! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) )
| ~ spl54_7 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f1724,plain,
spl54_7,
inference(avatar_split_clause,[],[f936,f1722]) ).
fof(f1726,definition,
( spl54_8
<=> rR(sK1,sK3,vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_8])],[avatar_definition]) ).
fof(f1728,plain,
( rR(sK1,sK3,vd1303)
| ~ spl54_8 ),
inference(avatar_component_clause,[],[f1726]) ).
fof(f1729,plain,
spl54_8,
inference(avatar_split_clause,[],[f846,f1726]) ).
fof(f1736,definition,
( spl54_10
<=> rR(sK3,sK2,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_10])],[avatar_definition]) ).
fof(f1738,plain,
( ~ rR(sK3,sK2,vd1329)
| spl54_10 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1739,plain,
~ spl54_10,
inference(avatar_split_clause,[],[f843,f1736]) ).
fof(f1741,definition,
( spl54_11
<=> rR(sK2,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_11])],[avatar_definition]) ).
fof(f1743,plain,
( rR(sK2,sK3,vd1300)
| ~ spl54_11 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1744,plain,
spl54_11,
inference(avatar_split_clause,[],[f847,f1741]) ).
fof(f1746,definition,
( spl54_12
<=> ! [X4,X5,X3] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_12])],[avatar_definition]) ).
fof(f1747,plain,
( ! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) )
| ~ spl54_12 ),
inference(avatar_component_clause,[],[f1746]) ).
fof(f1748,plain,
spl54_12,
inference(avatar_split_clause,[],[f925,f1746]) ).
fof(f1750,definition,
( spl54_13
<=> sK1 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f1752,plain,
( sK1 != sK2
| spl54_13 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1753,plain,
~ spl54_13,
inference(avatar_split_clause,[],[f849,f1750]) ).
fof(f1755,definition,
( spl54_14
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f1757,plain,
( sK2 != sK3
| spl54_14 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f1758,plain,
~ spl54_14,
inference(avatar_split_clause,[],[f890,f1755]) ).
fof(f1760,definition,
( spl54_15
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).
fof(f1762,plain,
( sK1 != sK3
| spl54_15 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1763,plain,
~ spl54_15,
inference(avatar_split_clause,[],[f856,f1760]) ).
fof(f1770,definition,
( spl54_17
<=> ron(sK2,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_17])],[avatar_definition]) ).
fof(f1772,plain,
( ron(sK2,vd1295)
| ~ spl54_17 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1773,plain,
spl54_17,
inference(avatar_split_clause,[],[f897,f1770]) ).
fof(f1775,definition,
( spl54_18
<=> ! [X5,X3] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_18])],[avatar_definition]) ).
fof(f1776,plain,
( ! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) )
| ~ spl54_18 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f1777,plain,
spl54_18,
inference(avatar_split_clause,[],[f1688,f1775]) ).
fof(f1781,plain,
( ~ rR(sK1,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_18 ),
inference(unit_resulting_resolution,[],[f1776,f1694,f1699]) ).
fof(f1788,definition,
( spl54_19
<=> ! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_19])],[avatar_definition]) ).
fof(f1789,plain,
( ! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) )
| ~ spl54_19 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1790,plain,
spl54_19,
inference(avatar_split_clause,[],[f1689,f1788]) ).
fof(f1806,definition,
( spl54_21
<=> ron(sK3,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f1808,plain,
( ron(sK3,vd1295)
| ~ spl54_21 ),
inference(avatar_component_clause,[],[f1806]) ).
fof(f1809,plain,
spl54_21,
inference(avatar_split_clause,[],[f902,f1806]) ).
fof(f1811,definition,
( spl54_22
<=> rline(vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_22])],[avatar_definition]) ).
fof(f1813,plain,
( rline(vd1295)
| ~ spl54_22 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f1814,plain,
spl54_22,
inference(avatar_split_clause,[],[f605,f1811]) ).
fof(f1821,definition,
( spl54_24
<=> vd1329 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_24])],[avatar_definition]) ).
fof(f1823,plain,
( vd1329 != sK3
| spl54_24 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1824,plain,
~ spl54_24,
inference(avatar_split_clause,[],[f854,f1821]) ).
fof(f1831,definition,
( spl54_26
<=> ! [X10,X11,X9,X13,X12,X8,X7] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ) ),
introduced(definition,[new_symbols(definition,[spl54_26])],[avatar_definition]) ).
fof(f1832,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) )
| ~ spl54_26 ),
inference(avatar_component_clause,[],[f1831]) ).
fof(f1833,plain,
spl54_26,
inference(avatar_split_clause,[],[f918,f1831]) ).
fof(f1847,definition,
( spl54_27
<=> ! [X5,X4,X7,X6] :
( rR(X4,X7,X5)
| ~ rR(X4,X7,X6)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(definition,[new_symbols(definition,[spl54_27])],[avatar_definition]) ).
fof(f1848,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) )
| ~ spl54_27 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f1849,plain,
spl54_27,
inference(avatar_split_clause,[],[f1129,f1847]) ).
fof(f1851,definition,
( spl54_28
<=> ! [X5,X4,X7,X6] :
( rR(X6,X7,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(definition,[new_symbols(definition,[spl54_28])],[avatar_definition]) ).
fof(f1852,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) )
| ~ spl54_28 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f1853,plain,
spl54_28,
inference(avatar_split_clause,[],[f922,f1851]) ).
fof(f1865,definition,
( spl54_31
<=> rpoint(vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_31])],[avatar_definition]) ).
fof(f1867,plain,
( rpoint(vd1329)
| ~ spl54_31 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f1868,plain,
spl54_31,
inference(avatar_split_clause,[],[f520,f1865]) ).
fof(f1889,definition,
( spl54_32
<=> ron(vd1329,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_32])],[avatar_definition]) ).
fof(f1891,plain,
( ron(vd1329,vd1295)
| ~ spl54_32 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1892,plain,
spl54_32,
inference(avatar_split_clause,[],[f610,f1889]) ).
fof(f1899,definition,
( spl54_33
<=> rR(vd1329,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_33])],[avatar_definition]) ).
fof(f1901,plain,
( rR(vd1329,sK3,vd1300)
| ~ spl54_33 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1902,plain,
spl54_33,
inference(avatar_split_clause,[],[f845,f1899]) ).
fof(f1904,definition,
( spl54_34
<=> ! [X4,X3] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_34])],[avatar_definition]) ).
fof(f1905,plain,
( ! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_34 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1906,plain,
spl54_34,
inference(avatar_split_clause,[],[f1090,f1904]) ).
fof(f1908,definition,
( spl54_35
<=> ! [X5,X4,X7,X6] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(definition,[new_symbols(definition,[spl54_35])],[avatar_definition]) ).
fof(f1909,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) )
| ~ spl54_35 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1910,plain,
spl54_35,
inference(avatar_split_clause,[],[f1353,f1908]) ).
fof(f1986,definition,
( spl54_40
<=> ! [X5,X4,X7,X6] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(definition,[new_symbols(definition,[spl54_40])],[avatar_definition]) ).
fof(f1987,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) )
| ~ spl54_40 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f1988,plain,
spl54_40,
inference(avatar_split_clause,[],[f1084,f1986]) ).
fof(f2016,definition,
( spl54_42
<=> rpoint(vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_42])],[avatar_definition]) ).
fof(f2018,plain,
( rpoint(vd1303)
| ~ spl54_42 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2019,plain,
spl54_42,
inference(avatar_split_clause,[],[f523,f2016]) ).
fof(f2024,plain,
( ~ rR(vd1303,vd1303,sK3)
| ~ spl54_3
| ~ spl54_18
| ~ spl54_42 ),
inference(unit_resulting_resolution,[],[f1776,f1704,f2018]) ).
fof(f2094,definition,
( spl54_45
<=> ! [X4,X3] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).
fof(f2095,plain,
( ! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_45 ),
inference(avatar_component_clause,[],[f2094]) ).
fof(f2096,plain,
spl54_45,
inference(avatar_split_clause,[],[f1086,f2094]) ).
fof(f2098,definition,
( spl54_46
<=> ! [X4,X3] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_46])],[avatar_definition]) ).
fof(f2099,plain,
( ! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_46 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2100,plain,
spl54_46,
inference(avatar_split_clause,[],[f1088,f2098]) ).
fof(f2102,definition,
( spl54_47
<=> ! [X3,X7,X5,X1] :
( vd684 = vangle(X3,X1,X5)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_47])],[avatar_definition]) ).
fof(f2103,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) )
| ~ spl54_47 ),
inference(avatar_component_clause,[],[f2102]) ).
fof(f2104,plain,
spl54_47,
inference(avatar_split_clause,[],[f1070,f2102]) ).
fof(f2118,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) )
| ~ spl54_26
| ~ spl54_46 ),
inference(resolution,[],[f2099,f1832]) ).
fof(f2119,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_26
| ~ spl54_46 ),
inference(duplicate_literal_removal,[],[f2118]) ).
fof(f2121,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_26
| ~ spl54_34
| ~ spl54_46 ),
inference(forward_subsumption_resolution,[],[f2119,f1905]) ).
fof(f2126,plain,
( ron(sK1,sK8(sK2,sK1))
| ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_45 ),
inference(unit_resulting_resolution,[],[f2095,f1699,f1694,f1752]) ).
fof(f2143,plain,
( rR(sK1,vd1303,sK3)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_7
| ~ spl54_8
| ~ spl54_42 ),
inference(unit_resulting_resolution,[],[f1723,f1704,f1694,f2018,f1728]) ).
fof(f2146,plain,
( rR(vd1329,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(vd1329)
| ~ rpoint(sK3)
| ~ spl54_7
| ~ spl54_33 ),
inference(resolution,[],[f1723,f1901]) ).
fof(f2147,plain,
( rR(vd1329,vd1300,sK3)
| ~ rpoint(vd1329)
| ~ rpoint(sK3)
| ~ spl54_7
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f2146,f526]) ).
fof(f2150,plain,
( rR(vd1329,vd1300,sK3)
| ~ rpoint(sK3)
| ~ spl54_7
| ~ spl54_31
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f2147,f1867]) ).
fof(f2152,plain,
( rR(vd1329,vd1300,sK3)
| ~ spl54_3
| ~ spl54_7
| ~ spl54_31
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f2150,f1704]) ).
fof(f2155,plain,
( vd684 = vangle(sK2,sK3,vd1329)
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_14
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47 ),
inference(unit_resulting_resolution,[],[f2103,f1704,f1699,f1867,f1813,f1772,f1891,f1808,f1757,f1823,f1738]) ).
fof(f2162,plain,
( ! [X0,X1] :
( rR(X0,X1,sK2)
| vd684 = vangle(X1,X0,sK2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK2 = X0
| X0 = X1
| ~ rline(vd1295)
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_17
| ~ spl54_47 ),
inference(resolution,[],[f2103,f1772]) ).
fof(f2164,plain,
( ! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK3 = X0
| X0 = X1
| ~ rline(vd1295)
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_21
| ~ spl54_47 ),
inference(resolution,[],[f2103,f1808]) ).
fof(f2167,plain,
( ! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK3 = X0
| X0 = X1
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f2164,f1813]) ).
fof(f2169,plain,
( ! [X0,X1] :
( rR(X0,X1,sK2)
| vd684 = vangle(X1,X0,sK2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK2 = X0
| X0 = X1
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_17
| ~ spl54_22
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f2162,f1813]) ).
fof(f2176,plain,
( ! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_3
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f2167,f1704]) ).
fof(f2178,plain,
( ! [X0,X1] :
( rR(X0,X1,sK2)
| vd684 = vangle(X1,X0,sK2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK2 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_2
| ~ spl54_17
| ~ spl54_22
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f2169,f1699]) ).
fof(f2187,plain,
( ~ rR(sK3,vd1329,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ spl54_12
| ~ spl54_33 ),
inference(resolution,[],[f1747,f1901]) ).
fof(f2188,plain,
( ~ rR(sK3,vd1329,vd1300)
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ spl54_12
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f2187,f526]) ).
fof(f2190,plain,
( ~ rR(sK3,vd1329,vd1300)
| ~ rpoint(vd1329)
| ~ spl54_3
| ~ spl54_12
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f2188,f1704]) ).
fof(f2192,plain,
( ~ rR(sK3,vd1329,vd1300)
| ~ spl54_3
| ~ spl54_12
| ~ spl54_31
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f2190,f1867]) ).
fof(f2200,definition,
( spl54_49
<=> rR(sK3,vd1329,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_49])],[avatar_definition]) ).
fof(f2203,plain,
( ~ spl54_49
| ~ spl54_3
| ~ spl54_12
| ~ spl54_31
| ~ spl54_33 ),
inference(avatar_split_clause,[],[f2192,f1899,f1865,f1746,f1702,f2200]) ).
fof(f2223,plain,
( ! [X0] :
( ~ rR(vd1303,sK1,X0)
| rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_8
| ~ spl54_28 ),
inference(resolution,[],[f1852,f1728]) ).
fof(f2228,plain,
( ! [X0] :
( ~ rR(vd1303,sK1,X0)
| rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_8
| ~ spl54_28
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f2223,f2018]) ).
fof(f2231,plain,
( ! [X0] :
( ~ rR(vd1303,sK1,X0)
| rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_1
| ~ spl54_8
| ~ spl54_28
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f2228,f1694]) ).
fof(f2234,plain,
( ! [X0] :
( ~ rR(vd1303,sK1,X0)
| rR(sK1,sK3,X0)
| ~ rpoint(X0) )
| ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_28
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f2231,f1704]) ).
fof(f2277,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_8
| ~ spl54_40 ),
inference(resolution,[],[f1987,f1728]) ).
fof(f2282,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl54_8
| ~ spl54_40
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f2277,f2018]) ).
fof(f2285,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_1
| ~ spl54_8
| ~ spl54_40
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f2282,f1694]) ).
fof(f2288,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0) )
| ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_40
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f2285,f1704]) ).
fof(f2290,definition,
( spl54_53
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_53])],[avatar_definition]) ).
fof(f2291,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ron(vd1303,X0)
| ~ rline(X0) )
| ~ spl54_53 ),
inference(avatar_component_clause,[],[f2290]) ).
fof(f2292,plain,
( spl54_53
| ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_40
| ~ spl54_42 ),
inference(avatar_split_clause,[],[f2288,f2016,f1986,f1726,f1702,f1692,f2290]) ).
fof(f2295,plain,
( ~ ron(sK1,vd1295)
| ron(vd1303,vd1295)
| ~ rline(vd1295)
| ~ spl54_21
| ~ spl54_53 ),
inference(resolution,[],[f2291,f1808]) ).
fof(f2300,plain,
( ~ ron(sK1,vd1295)
| ron(vd1303,vd1295)
| ~ spl54_21
| ~ spl54_22
| ~ spl54_53 ),
inference(forward_subsumption_resolution,[],[f2295,f1813]) ).
fof(f2339,definition,
( spl54_57
<=> ! [X3,X7,X5,X1] :
( ron(X5,X7)
| vd684 != vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_57])],[avatar_definition]) ).
fof(f2340,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) )
| ~ spl54_57 ),
inference(avatar_component_clause,[],[f2339]) ).
fof(f2341,plain,
spl54_57,
inference(avatar_split_clause,[],[f1066,f2339]) ).
fof(f2351,definition,
( spl54_58
<=> rpoint(vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_58])],[avatar_definition]) ).
fof(f2353,plain,
( rpoint(vd1300)
| ~ spl54_58 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2354,plain,
spl54_58,
inference(avatar_split_clause,[],[f526,f2351]) ).
fof(f2417,definition,
( spl54_59
<=> vf(sK3,sK2) = vf(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_59])],[avatar_definition]) ).
fof(f2419,plain,
( vf(sK3,sK2) = vf(sK3,sK1)
| ~ spl54_59 ),
inference(avatar_component_clause,[],[f2417]) ).
fof(f2420,plain,
spl54_59,
inference(avatar_split_clause,[],[f848,f2417]) ).
fof(f2510,plain,
( ! [X0] :
( ~ rR(vd1329,sK3,X0)
| ~ rR(vd1329,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) )
| ~ spl54_33
| ~ spl54_35 ),
inference(resolution,[],[f1909,f1901]) ).
fof(f2513,plain,
( ! [X0] :
( ~ rR(vd1329,sK3,X0)
| ~ rR(vd1329,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK3) )
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58 ),
inference(forward_subsumption_resolution,[],[f2510,f2353]) ).
fof(f2517,plain,
( ! [X0] :
( ~ rR(vd1329,sK3,X0)
| ~ rR(vd1329,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58 ),
inference(forward_subsumption_resolution,[],[f2513,f1867]) ).
fof(f2521,plain,
( ! [X0] :
( ~ rR(vd1329,sK3,X0)
| ~ rR(vd1329,vd1300,X0)
| ~ rpoint(X0) )
| ~ spl54_3
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58 ),
inference(forward_subsumption_resolution,[],[f2517,f1704]) ).
fof(f2539,definition,
( spl54_69
<=> vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_69])],[avatar_definition]) ).
fof(f2541,plain,
( vangle(sK1,sK3,sK2) = vangle(vd1303,sK3,sK2)
| ~ spl54_69 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f2542,plain,
spl54_69,
inference(avatar_split_clause,[],[f841,f2539]) ).
fof(f2544,definition,
( spl54_70
<=> ! [X5,X3,X4,X6,X2] :
( X3 = X4
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6) ) ),
introduced(definition,[new_symbols(definition,[spl54_70])],[avatar_definition]) ).
fof(f2545,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) )
| ~ spl54_70 ),
inference(avatar_component_clause,[],[f2544]) ).
fof(f2546,plain,
spl54_70,
inference(avatar_split_clause,[],[f1637,f2544]) ).
fof(f2614,definition,
( spl54_75
<=> ! [X4,X3] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_75])],[avatar_definition]) ).
fof(f2615,plain,
( ! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_75 ),
inference(avatar_component_clause,[],[f2614]) ).
fof(f2616,plain,
spl54_75,
inference(avatar_split_clause,[],[f1163,f2614]) ).
fof(f2617,plain,
( ron(vd1329,sK12(sK3,vd1329))
| ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_75 ),
inference(unit_resulting_resolution,[],[f2615,f1704,f1867,f1823]) ).
fof(f2621,plain,
( ron(sK1,sK12(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_75 ),
inference(unit_resulting_resolution,[],[f2615,f1704,f1694,f1762]) ).
fof(f2622,plain,
( ron(sK2,sK12(sK3,sK2))
| ~ spl54_2
| ~ spl54_3
| spl54_14
| ~ spl54_75 ),
inference(unit_resulting_resolution,[],[f2615,f1704,f1699,f1757]) ).
fof(f2656,definition,
( spl54_76
<=> vf(sK3,vd1303) = vf(sK3,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_76])],[avatar_definition]) ).
fof(f2658,plain,
( vf(sK3,vd1303) = vf(sK3,vd1329)
| ~ spl54_76 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f2659,plain,
spl54_76,
inference(avatar_split_clause,[],[f855,f2656]) ).
fof(f2661,definition,
( spl54_77
<=> ! [X4,X9,X7,X6,X8] :
( rR(X9,X8,X7)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X9,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ) ),
introduced(definition,[new_symbols(definition,[spl54_77])],[avatar_definition]) ).
fof(f2662,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) )
| ~ spl54_77 ),
inference(avatar_component_clause,[],[f2661]) ).
fof(f2663,plain,
spl54_77,
inference(avatar_split_clause,[],[f1305,f2661]) ).
fof(f2755,definition,
( spl54_82
<=> ! [X4,X5,X3] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_82])],[avatar_definition]) ).
fof(f2756,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) )
| ~ spl54_82 ),
inference(avatar_component_clause,[],[f2755]) ).
fof(f2757,plain,
spl54_82,
inference(avatar_split_clause,[],[f1107,f2755]) ).
fof(f2768,plain,
( vangle(sK1,sK3,sK2) = vangle(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_82 ),
inference(unit_resulting_resolution,[],[f2756,f1699,f1704,f1694,f1757,f1752]) ).
fof(f2798,plain,
( vangle(vd1303,sK3,sK2) = vangle(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_69
| ~ spl54_82 ),
inference(forward_demodulation,[],[f2768,f2541]) ).
fof(f2847,definition,
( spl54_84
<=> ! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_84])],[avatar_definition]) ).
fof(f2848,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) )
| ~ spl54_84 ),
inference(avatar_component_clause,[],[f2847]) ).
fof(f2849,plain,
spl54_84,
inference(avatar_split_clause,[],[f687,f2847]) ).
fof(f2893,definition,
( spl54_87
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_87])],[avatar_definition]) ).
fof(f2894,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_87 ),
inference(avatar_component_clause,[],[f2893]) ).
fof(f2895,plain,
( spl54_87
| ~ spl54_26
| ~ spl54_34
| ~ spl54_46 ),
inference(avatar_split_clause,[],[f2121,f2098,f1904,f1831,f2893]) ).
fof(f2897,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_45
| ~ spl54_87 ),
inference(resolution,[],[f2894,f2095]) ).
fof(f2898,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)
| ~ ron(X4,sK8(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_45
| ~ spl54_87 ),
inference(duplicate_literal_removal,[],[f2897]) ).
fof(f2928,definition,
( spl54_91
<=> ! [X0] :
( ~ rR(vd1329,sK3,X0)
| ~ rR(vd1329,vd1300,X0)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_91])],[avatar_definition]) ).
fof(f2929,plain,
( ! [X0] :
( ~ rR(vd1329,sK3,X0)
| ~ rR(vd1329,vd1300,X0)
| ~ rpoint(X0) )
| ~ spl54_91 ),
inference(avatar_component_clause,[],[f2928]) ).
fof(f2930,plain,
( spl54_91
| ~ spl54_3
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58 ),
inference(avatar_split_clause,[],[f2521,f2351,f1908,f1899,f1865,f1702,f2928]) ).
fof(f2934,definition,
( spl54_92
<=> ! [X4,X3] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_92])],[avatar_definition]) ).
fof(f2935,plain,
( ! [X3,X4] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_92 ),
inference(avatar_component_clause,[],[f2934]) ).
fof(f2936,plain,
spl54_92,
inference(avatar_split_clause,[],[f1167,f2934]) ).
fof(f2941,plain,
( rcircle(sK12(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_92 ),
inference(unit_resulting_resolution,[],[f2935,f1704,f1694,f1762]) ).
fof(f2950,definition,
( spl54_93
<=> ! [X0] :
( ~ rR(vd1303,sK1,X0)
| rR(sK1,sK3,X0)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_93])],[avatar_definition]) ).
fof(f2951,plain,
( ! [X0] :
( ~ rR(vd1303,sK1,X0)
| rR(sK1,sK3,X0)
| ~ rpoint(X0) )
| ~ spl54_93 ),
inference(avatar_component_clause,[],[f2950]) ).
fof(f2952,plain,
( spl54_93
| ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_28
| ~ spl54_42 ),
inference(avatar_split_clause,[],[f2234,f2016,f1851,f1726,f1702,f1692,f2950]) ).
fof(f3060,definition,
( spl54_103
<=> vd1329 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_103])],[avatar_definition]) ).
fof(f3061,plain,
( vd1329 != sK1
| spl54_103 ),
inference(avatar_component_clause,[],[f3060]) ).
fof(f3101,definition,
( spl54_107
<=> ron(sK2,sK12(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl54_107])],[avatar_definition]) ).
fof(f3103,plain,
( ron(sK2,sK12(sK3,sK2))
| ~ spl54_107 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f3104,plain,
( spl54_107
| ~ spl54_2
| ~ spl54_3
| spl54_14
| ~ spl54_75 ),
inference(avatar_split_clause,[],[f2622,f2614,f1755,f1702,f1697,f3101]) ).
fof(f3136,definition,
( spl54_109
<=> ron(sK1,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_109])],[avatar_definition]) ).
fof(f3138,plain,
( ron(sK1,sK12(sK3,sK1))
| ~ spl54_109 ),
inference(avatar_component_clause,[],[f3136]) ).
fof(f3139,plain,
( spl54_109
| ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_75 ),
inference(avatar_split_clause,[],[f2621,f2614,f1760,f1702,f1692,f3136]) ).
fof(f3237,definition,
( spl54_114
<=> ron(sK1,sK8(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_114])],[avatar_definition]) ).
fof(f3239,plain,
( ron(sK1,sK8(sK2,sK1))
| ~ spl54_114 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f3240,plain,
( spl54_114
| ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_45 ),
inference(avatar_split_clause,[],[f2126,f2094,f1750,f1697,f1692,f3237]) ).
fof(f3281,definition,
( spl54_116
<=> ! [X4,X3] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_116])],[avatar_definition]) ).
fof(f3282,plain,
( ! [X3,X4] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_116 ),
inference(avatar_component_clause,[],[f3281]) ).
fof(f3283,plain,
spl54_116,
inference(avatar_split_clause,[],[f1165,f3281]) ).
fof(f3284,plain,
( rcenter(sK3,sK12(sK3,vd1329))
| ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_116 ),
inference(unit_resulting_resolution,[],[f3282,f1704,f1867,f1823]) ).
fof(f3288,plain,
( rcenter(sK3,sK12(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_116 ),
inference(unit_resulting_resolution,[],[f3282,f1704,f1694,f1762]) ).
fof(f3289,plain,
( rcenter(sK3,sK12(sK3,sK2))
| ~ spl54_2
| ~ spl54_3
| spl54_14
| ~ spl54_116 ),
inference(unit_resulting_resolution,[],[f3282,f1704,f1699,f1757]) ).
fof(f3296,plain,
( ! [X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rinside(X1,sK12(X1,X0)) )
| ~ spl54_84
| ~ spl54_116 ),
inference(resolution,[],[f3282,f2848]) ).
fof(f3319,definition,
( spl54_119
<=> rcenter(sK3,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_119])],[avatar_definition]) ).
fof(f3321,plain,
( rcenter(sK3,sK12(sK3,sK1))
| ~ spl54_119 ),
inference(avatar_component_clause,[],[f3319]) ).
fof(f3322,plain,
( spl54_119
| ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_116 ),
inference(avatar_split_clause,[],[f3288,f3281,f1760,f1702,f1692,f3319]) ).
fof(f3326,plain,
( rinside(sK3,sK12(sK3,sK1))
| ~ spl54_84
| ~ spl54_119 ),
inference(resolution,[],[f3321,f2848]) ).
fof(f3329,definition,
( spl54_120
<=> rcenter(sK3,sK12(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl54_120])],[avatar_definition]) ).
fof(f3331,plain,
( rcenter(sK3,sK12(sK3,sK2))
| ~ spl54_120 ),
inference(avatar_component_clause,[],[f3329]) ).
fof(f3332,plain,
( spl54_120
| ~ spl54_2
| ~ spl54_3
| spl54_14
| ~ spl54_116 ),
inference(avatar_split_clause,[],[f3289,f3281,f1755,f1702,f1697,f3329]) ).
fof(f3336,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_59
| ~ spl54_70
| ~ spl54_107
| ~ spl54_109
| ~ spl54_119
| ~ spl54_120 ),
inference(unit_resulting_resolution,[],[f2545,f1699,f1694,f3138,f3321,f3103,f2419,f3331]) ).
fof(f3341,plain,
( ron(sK2,sK12(sK3,sK1))
| ~ spl54_1
| ~ spl54_2
| ~ spl54_59
| ~ spl54_70
| ~ spl54_107
| ~ spl54_109
| ~ spl54_119
| ~ spl54_120 ),
inference(backward_demodulation,[],[f3103,f3336]) ).
fof(f3456,definition,
( spl54_127
<=> ! [X3,X5,X2,X1] :
( ron(X1,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_127])],[avatar_definition]) ).
fof(f3457,plain,
( ! [X2,X3,X1,X5] :
( vf(X2,X1) != vf(X2,X5)
| ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ rpoint(X1) )
| ~ spl54_127 ),
inference(avatar_component_clause,[],[f3456]) ).
fof(f3458,plain,
spl54_127,
inference(avatar_split_clause,[],[f1104,f3456]) ).
fof(f4068,definition,
( spl54_149
<=> ron(vd1303,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_149])],[avatar_definition]) ).
fof(f4070,plain,
( ron(vd1303,vd1295)
| ~ spl54_149 ),
inference(avatar_component_clause,[],[f4068]) ).
fof(f4072,definition,
( spl54_150
<=> ron(sK1,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_150])],[avatar_definition]) ).
fof(f4073,plain,
( ron(sK1,vd1295)
| ~ spl54_150 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f4074,plain,
( ~ ron(sK1,vd1295)
| spl54_150 ),
inference(avatar_component_clause,[],[f4072]) ).
fof(f4075,plain,
( spl54_149
| ~ spl54_150
| ~ spl54_21
| ~ spl54_22
| ~ spl54_53 ),
inference(avatar_split_clause,[],[f2300,f2290,f1811,f1806,f4072,f4068]) ).
fof(f4078,plain,
( vd684 != vangle(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_57
| spl54_150 ),
inference(unit_resulting_resolution,[],[f2340,f1704,f1699,f1694,f1813,f1757,f1762,f1808,f1772,f4074]) ).
fof(f4094,plain,
( ~ rR(sK3,sK2,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150 ),
inference(unit_resulting_resolution,[],[f1987,f1699,f1704,f1694,f1813,f1772,f1808,f4074]) ).
fof(f4113,plain,
( vd684 != vangle(vd1303,sK3,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_57
| ~ spl54_69
| ~ spl54_82
| spl54_150 ),
inference(forward_demodulation,[],[f4078,f2798]) ).
fof(f4127,definition,
( spl54_153
<=> rR(sK1,vd1303,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_153])],[avatar_definition]) ).
fof(f4129,plain,
( rR(sK1,vd1303,sK3)
| ~ spl54_153 ),
inference(avatar_component_clause,[],[f4127]) ).
fof(f4130,plain,
( spl54_153
| ~ spl54_1
| ~ spl54_3
| ~ spl54_7
| ~ spl54_8
| ~ spl54_42 ),
inference(avatar_split_clause,[],[f2143,f2016,f1726,f1722,f1702,f1692,f4127]) ).
fof(f4198,definition,
( spl54_156
<=> rinside(sK3,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_156])],[avatar_definition]) ).
fof(f4200,plain,
( rinside(sK3,sK12(sK3,sK1))
| ~ spl54_156 ),
inference(avatar_component_clause,[],[f4198]) ).
fof(f4201,plain,
( spl54_156
| ~ spl54_84
| ~ spl54_119 ),
inference(avatar_split_clause,[],[f3326,f3319,f2847,f4198]) ).
fof(f4247,definition,
( spl54_162
<=> ! [X3,X4,X5,X2] :
( rless(vf(X2,X5),vf(X2,X4))
| ~ rinside(X5,X3)
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_162])],[avatar_definition]) ).
fof(f4248,plain,
( ! [X2,X3,X4,X5] :
( ~ rinside(X5,X3)
| rless(vf(X2,X5),vf(X2,X4))
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) )
| ~ spl54_162 ),
inference(avatar_component_clause,[],[f4247]) ).
fof(f4249,plain,
spl54_162,
inference(avatar_split_clause,[],[f1098,f4247]) ).
fof(f4268,definition,
( spl54_164
<=> ! [X3,X4,X5,X2] :
( rinside(X5,X3)
| ~ rless(vf(X2,X5),vf(X2,X4))
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_164])],[avatar_definition]) ).
fof(f4269,plain,
( ! [X2,X3,X4,X5] :
( ~ rless(vf(X2,X5),vf(X2,X4))
| rinside(X5,X3)
| ~ ron(X4,X3)
| ~ rcenter(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5) )
| ~ spl54_164 ),
inference(avatar_component_clause,[],[f4268]) ).
fof(f4270,plain,
spl54_164,
inference(avatar_split_clause,[],[f1100,f4268]) ).
fof(f4285,definition,
( spl54_166
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ 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)
| ~ ron(X4,sK8(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_166])],[avatar_definition]) ).
fof(f4286,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ rpoint(X0)
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_166 ),
inference(avatar_component_clause,[],[f4285]) ).
fof(f4287,plain,
( spl54_166
| ~ spl54_45
| ~ spl54_87 ),
inference(avatar_split_clause,[],[f2898,f2893,f2094,f4285]) ).
fof(f4289,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| X0 = X3
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) )
| ~ spl54_45
| ~ spl54_166 ),
inference(resolution,[],[f4286,f2095]) ).
fof(f4314,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl54_45
| ~ spl54_166 ),
inference(duplicate_literal_removal,[],[f4289]) ).
fof(f4322,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl54_19
| ~ spl54_45
| ~ spl54_166 ),
inference(forward_subsumption_resolution,[],[f4314,f1789]) ).
fof(f4342,definition,
( spl54_167
<=> ! [X4,X0,X3,X2,X1] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_167])],[avatar_definition]) ).
fof(f4343,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ron(X2,X4)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl54_167 ),
inference(avatar_component_clause,[],[f4342]) ).
fof(f4344,plain,
( spl54_167
| ~ spl54_19
| ~ spl54_45
| ~ spl54_166 ),
inference(avatar_split_clause,[],[f4322,f4285,f2094,f1788,f4342]) ).
fof(f4352,plain,
( vangle(sK2,sK3,vd1329) = vangle(sK2,sK3,sK2)
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_14
| ~ spl54_17
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_167 ),
inference(unit_resulting_resolution,[],[f4343,f1699,f1867,f1813,f1699,f1891,f1772,f1704,f1757,f1757,f1823,f1738]) ).
fof(f4353,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK8(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK8(X2,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4)
| ~ rpoint(X2) )
| ~ spl54_46
| ~ spl54_167 ),
inference(resolution,[],[f4343,f2099]) ).
fof(f4382,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK8(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK8(X2,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) )
| ~ spl54_46
| ~ spl54_167 ),
inference(duplicate_literal_removal,[],[f4353]) ).
fof(f4408,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK8(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) )
| ~ spl54_34
| ~ spl54_46
| ~ spl54_167 ),
inference(forward_subsumption_resolution,[],[f4382,f1905]) ).
fof(f4414,plain,
( vd684 = vangle(sK2,sK3,sK2)
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_14
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47
| ~ spl54_167 ),
inference(forward_demodulation,[],[f4352,f2155]) ).
fof(f4509,plain,
( ! [X0,X1] :
( vf(sK3,vd1303) != vf(sK3,X0)
| ron(X0,X1)
| ~ ron(vd1329,X1)
| ~ rpoint(vd1329)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) )
| ~ spl54_76
| ~ spl54_127 ),
inference(superposition,[],[f3457,f2658]) ).
fof(f4512,plain,
( ! [X0,X1] :
( vf(sK3,vd1303) != vf(sK3,X0)
| ron(X0,X1)
| ~ ron(vd1329,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) )
| ~ spl54_31
| ~ spl54_76
| ~ spl54_127 ),
inference(forward_subsumption_resolution,[],[f4509,f1867]) ).
fof(f4590,plain,
( ! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,sK1))
| rinside(X0,X1)
| ~ ron(sK2,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(sK2)
| ~ rpoint(X0) )
| ~ spl54_59
| ~ spl54_164 ),
inference(superposition,[],[f4269,f2419]) ).
fof(f4593,plain,
( ! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,sK1))
| rinside(X0,X1)
| ~ ron(sK2,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) )
| ~ spl54_2
| ~ spl54_59
| ~ spl54_164 ),
inference(forward_subsumption_resolution,[],[f4590,f1699]) ).
fof(f4608,definition,
( spl54_171
<=> ! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,sK1))
| rinside(X0,X1)
| ~ ron(sK2,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_171])],[avatar_definition]) ).
fof(f4609,plain,
( ! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,sK1))
| rinside(X0,X1)
| ~ ron(sK2,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) )
| ~ spl54_171 ),
inference(avatar_component_clause,[],[f4608]) ).
fof(f4610,plain,
( spl54_171
| ~ spl54_2
| ~ spl54_59
| ~ spl54_164 ),
inference(avatar_split_clause,[],[f4593,f4268,f2417,f1697,f4608]) ).
fof(f4720,definition,
( spl54_176
<=> rR(vd1329,vd1300,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_176])],[avatar_definition]) ).
fof(f4722,plain,
( rR(vd1329,vd1300,sK3)
| ~ spl54_176 ),
inference(avatar_component_clause,[],[f4720]) ).
fof(f4723,plain,
( spl54_176
| ~ spl54_3
| ~ spl54_7
| ~ spl54_31
| ~ spl54_33 ),
inference(avatar_split_clause,[],[f2152,f1899,f1865,f1722,f1702,f4720]) ).
fof(f4807,definition,
( spl54_178
<=> ! [X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rinside(X1,sK12(X1,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl54_178])],[avatar_definition]) ).
fof(f4808,plain,
( ! [X0,X1] :
( rinside(X1,sK12(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl54_178 ),
inference(avatar_component_clause,[],[f4807]) ).
fof(f4809,plain,
( spl54_178
| ~ spl54_84
| ~ spl54_116 ),
inference(avatar_split_clause,[],[f3296,f3281,f2847,f4807]) ).
fof(f5334,definition,
( spl54_190
<=> rcenter(sK3,sK12(sK3,vd1329)) ),
introduced(definition,[new_symbols(definition,[spl54_190])],[avatar_definition]) ).
fof(f5336,plain,
( rcenter(sK3,sK12(sK3,vd1329))
| ~ spl54_190 ),
inference(avatar_component_clause,[],[f5334]) ).
fof(f5337,plain,
( spl54_190
| ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_116 ),
inference(avatar_split_clause,[],[f3284,f3281,f1865,f1821,f1702,f5334]) ).
fof(f5406,definition,
( spl54_198
<=> ! [X4,X0,X3,X2,X1] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK8(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_198])],[avatar_definition]) ).
fof(f5407,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ron(X1,sK8(X2,X4))
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| rR(X0,X1,X2)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) )
| ~ spl54_198 ),
inference(avatar_component_clause,[],[f5406]) ).
fof(f5408,plain,
( spl54_198
| ~ spl54_34
| ~ spl54_46
| ~ spl54_167 ),
inference(avatar_split_clause,[],[f4408,f4342,f2098,f1904,f5406]) ).
fof(f5580,definition,
( spl54_214
<=> rR(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_214])],[avatar_definition]) ).
fof(f5581,plain,
( rR(sK1,sK3,sK2)
| ~ spl54_214 ),
inference(avatar_component_clause,[],[f5580]) ).
fof(f5582,plain,
( ~ rR(sK1,sK3,sK2)
| spl54_214 ),
inference(avatar_component_clause,[],[f5580]) ).
fof(f5618,definition,
( spl54_216
<=> ! [X5,X4,X7,X6] :
( ~ ron(X6,X4)
| ~ rR(X5,X7,X6)
| rinside(X5,X4)
| ~ rinside(X7,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ) ),
introduced(definition,[new_symbols(definition,[spl54_216])],[avatar_definition]) ).
fof(f5619,plain,
( ! [X6,X7,X4,X5] :
( ~ rR(X5,X7,X6)
| ~ ron(X6,X4)
| rinside(X5,X4)
| ~ rinside(X7,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) )
| ~ spl54_216 ),
inference(avatar_component_clause,[],[f5618]) ).
fof(f5620,plain,
spl54_216,
inference(avatar_split_clause,[],[f1280,f5618]) ).
fof(f5639,definition,
( spl54_218
<=> rR(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_218])],[avatar_definition]) ).
fof(f5640,plain,
( rR(sK3,sK1,sK2)
| ~ spl54_218 ),
inference(avatar_component_clause,[],[f5639]) ).
fof(f5641,plain,
( ~ rR(sK3,sK1,sK2)
| spl54_218 ),
inference(avatar_component_clause,[],[f5639]) ).
fof(f5653,plain,
( vangle(sK2,sK3,sK1) = vangle(sK2,sK3,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_114
| ~ spl54_198
| spl54_218 ),
inference(unit_resulting_resolution,[],[f5407,f1694,f1699,f1757,f1694,f1699,f1704,f1752,f1757,f1762,f3239,f5641]) ).
fof(f5661,plain,
( vd684 = vangle(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47
| ~ spl54_114
| ~ spl54_167
| ~ spl54_198
| spl54_218 ),
inference(forward_demodulation,[],[f5653,f4414]) ).
fof(f5670,plain,
( vd684 = vangle(vd1303,sK3,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47
| ~ spl54_69
| ~ spl54_82
| ~ spl54_114
| ~ spl54_167
| ~ spl54_198
| spl54_218 ),
inference(backward_demodulation,[],[f2798,f5661]) ).
fof(f5677,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47
| ~ spl54_57
| ~ spl54_69
| ~ spl54_82
| ~ spl54_114
| spl54_150
| ~ spl54_167
| ~ spl54_198
| spl54_218 ),
inference(forward_subsumption_resolution,[],[f5670,f4113]) ).
fof(f5678,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47
| ~ spl54_57
| ~ spl54_69
| ~ spl54_82
| ~ spl54_114
| spl54_150
| ~ spl54_167
| ~ spl54_198
| spl54_218 ),
inference(avatar_contradiction_clause,[],[f5677]) ).
fof(f5684,plain,
( rR(sK1,vd1303,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_28
| ~ spl54_42
| ~ spl54_153
| ~ spl54_218 ),
inference(unit_resulting_resolution,[],[f1852,f2018,f1694,f1704,f1699,f4129,f5640]) ).
fof(f5686,plain,
( rR(sK3,sK1,vd1300)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_11
| ~ spl54_28
| ~ spl54_58
| ~ spl54_218 ),
inference(unit_resulting_resolution,[],[f1852,f1694,f1704,f1699,f2353,f1743,f5640]) ).
fof(f5694,plain,
( rR(sK3,sK2,sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_7
| ~ spl54_218 ),
inference(resolution,[],[f5640,f1723]) ).
fof(f5695,plain,
( ~ rR(sK1,sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_12
| ~ spl54_218 ),
inference(resolution,[],[f5640,f1747]) ).
fof(f5710,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_7
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f5694,f4094]) ).
fof(f5722,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_7
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f5710,f1699]) ).
fof(f5731,plain,
( ~ rpoint(sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_7
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f5722,f1704]) ).
fof(f5733,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_7
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f5731,f1694]) ).
fof(f5734,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_7
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150
| ~ spl54_218 ),
inference(avatar_contradiction_clause,[],[f5733]) ).
fof(f6149,definition,
( spl54_221
<=> rR(sK3,sK1,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_221])],[avatar_definition]) ).
fof(f6151,plain,
( rR(sK3,sK1,vd1300)
| ~ spl54_221 ),
inference(avatar_component_clause,[],[f6149]) ).
fof(f6152,plain,
( spl54_221
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_11
| ~ spl54_28
| ~ spl54_58
| ~ spl54_218 ),
inference(avatar_split_clause,[],[f5686,f5639,f2351,f1851,f1741,f1702,f1697,f1692,f6149]) ).
fof(f6153,plain,
( rR(sK3,vd1300,sK1)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_7
| ~ spl54_58
| ~ spl54_221 ),
inference(unit_resulting_resolution,[],[f1723,f1694,f1704,f2353,f6151]) ).
fof(f6277,definition,
( spl54_224
<=> rR(sK1,vd1303,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_224])],[avatar_definition]) ).
fof(f6279,plain,
( rR(sK1,vd1303,sK2)
| ~ spl54_224 ),
inference(avatar_component_clause,[],[f6277]) ).
fof(f6280,plain,
( spl54_224
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_28
| ~ spl54_42
| ~ spl54_153
| ~ spl54_218 ),
inference(avatar_split_clause,[],[f5684,f5639,f4127,f2016,f1851,f1702,f1697,f1692,f6277]) ).
fof(f6490,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_12
| ~ spl54_214
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f5695,f5581]) ).
fof(f6516,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_2
| ~ spl54_12
| ~ spl54_214
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f6490,f1699]) ).
fof(f6518,plain,
( ~ rpoint(sK3)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_12
| ~ spl54_214
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f6516,f1694]) ).
fof(f6519,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_12
| ~ spl54_214
| ~ spl54_218 ),
inference(forward_subsumption_resolution,[],[f6518,f1704]) ).
fof(f6520,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_12
| ~ spl54_214
| ~ spl54_218 ),
inference(avatar_contradiction_clause,[],[f6519]) ).
fof(f7350,definition,
( spl54_265
<=> ! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_265])],[avatar_definition]) ).
fof(f7351,plain,
( ! [X0,X1] :
( rR(X0,X1,sK3)
| vd684 = vangle(X1,X0,sK3)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_265 ),
inference(avatar_component_clause,[],[f7350]) ).
fof(f7352,plain,
( spl54_265
| ~ spl54_3
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47 ),
inference(avatar_split_clause,[],[f2176,f2102,f1811,f1806,f1702,f7350]) ).
fof(f7367,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ ron(sK3,vd1295)
| ~ ron(vd1329,vd1295)
| vd1329 = sK3
| vd1329 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ rR(vd1329,vd1300,sK3)
| ~ rpoint(sK3)
| ~ spl54_91
| ~ spl54_265 ),
inference(resolution,[],[f7351,f2929]) ).
fof(f7376,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ ron(sK3,vd1295)
| ~ ron(vd1329,vd1295)
| vd1329 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ rR(vd1329,vd1300,sK3)
| ~ spl54_91
| ~ spl54_265 ),
inference(duplicate_literal_removal,[],[f7367]) ).
fof(f7391,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ ron(vd1329,vd1295)
| vd1329 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ rR(vd1329,vd1300,sK3)
| ~ spl54_21
| ~ spl54_91
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f7376,f1808]) ).
fof(f7405,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| vd1329 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ rR(vd1329,vd1300,sK3)
| ~ spl54_21
| ~ spl54_32
| ~ spl54_91
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f7391,f1891]) ).
fof(f7411,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1329)
| ~ rR(vd1329,vd1300,sK3)
| ~ spl54_21
| spl54_24
| ~ spl54_32
| ~ spl54_91
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f7405,f1823]) ).
fof(f7414,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ rpoint(vd1329)
| ~ rR(vd1329,vd1300,sK3)
| ~ spl54_3
| ~ spl54_21
| spl54_24
| ~ spl54_32
| ~ spl54_91
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f7411,f1704]) ).
fof(f7417,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ rR(vd1329,vd1300,sK3)
| ~ spl54_3
| ~ spl54_21
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_91
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f7414,f1867]) ).
fof(f7420,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ spl54_3
| ~ spl54_21
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_91
| ~ spl54_176
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f7417,f4722]) ).
fof(f7426,definition,
( spl54_266
<=> vd684 = vangle(sK3,vd1329,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_266])],[avatar_definition]) ).
fof(f7428,plain,
( vd684 = vangle(sK3,vd1329,sK3)
| ~ spl54_266 ),
inference(avatar_component_clause,[],[f7426]) ).
fof(f7429,plain,
( spl54_266
| ~ spl54_3
| ~ spl54_21
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_91
| ~ spl54_176
| ~ spl54_265 ),
inference(avatar_split_clause,[],[f7420,f7350,f4720,f2928,f1889,f1865,f1821,f1806,f1702,f7426]) ).
fof(f7542,definition,
( spl54_274
<=> ! [X0,X1] :
( rR(X0,X1,sK2)
| vd684 = vangle(X1,X0,sK2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK2 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_274])],[avatar_definition]) ).
fof(f7543,plain,
( ! [X0,X1] :
( rR(X0,X1,sK2)
| vd684 = vangle(X1,X0,sK2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| sK2 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_274 ),
inference(avatar_component_clause,[],[f7542]) ).
fof(f7544,plain,
( spl54_274
| ~ spl54_2
| ~ spl54_17
| ~ spl54_22
| ~ spl54_47 ),
inference(avatar_split_clause,[],[f2178,f2102,f1811,f1770,f1697,f7542]) ).
fof(f7561,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| ~ ron(sK1,vd1295)
| ~ ron(vd1303,vd1295)
| vd1303 = sK2
| vd1303 = sK1
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| rR(sK1,sK3,sK2)
| ~ rpoint(sK2)
| ~ spl54_93
| ~ spl54_274 ),
inference(resolution,[],[f7543,f2951]) ).
fof(f7582,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| ~ ron(vd1303,vd1295)
| vd1303 = sK2
| vd1303 = sK1
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| rR(sK1,sK3,sK2)
| ~ rpoint(sK2)
| ~ spl54_93
| ~ spl54_150
| ~ spl54_274 ),
inference(forward_subsumption_resolution,[],[f7561,f4073]) ).
fof(f7597,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| vd1303 = sK2
| vd1303 = sK1
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| rR(sK1,sK3,sK2)
| ~ rpoint(sK2)
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| ~ spl54_274 ),
inference(forward_subsumption_resolution,[],[f7582,f4070]) ).
fof(f7604,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| vd1303 = sK2
| vd1303 = sK1
| ~ rpoint(vd1303)
| rR(sK1,sK3,sK2)
| ~ rpoint(sK2)
| ~ spl54_1
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| ~ spl54_274 ),
inference(forward_subsumption_resolution,[],[f7597,f1694]) ).
fof(f7607,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| vd1303 = sK2
| vd1303 = sK1
| rR(sK1,sK3,sK2)
| ~ rpoint(sK2)
| ~ spl54_1
| ~ spl54_42
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| ~ spl54_274 ),
inference(forward_subsumption_resolution,[],[f7604,f2018]) ).
fof(f7610,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| vd1303 = sK2
| vd1303 = sK1
| ~ rpoint(sK2)
| ~ spl54_1
| ~ spl54_42
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| spl54_214
| ~ spl54_274 ),
inference(forward_subsumption_resolution,[],[f7607,f5582]) ).
fof(f7612,plain,
( vd684 = vangle(sK1,vd1303,sK2)
| vd1303 = sK2
| vd1303 = sK1
| ~ spl54_1
| ~ spl54_2
| ~ spl54_42
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| spl54_214
| ~ spl54_274 ),
inference(forward_subsumption_resolution,[],[f7610,f1699]) ).
fof(f7614,plain,
( vd684 = sF52
| vd1303 = sK2
| vd1303 = sK1
| ~ spl54_1
| ~ spl54_2
| ~ spl54_5
| ~ spl54_42
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| spl54_214
| ~ spl54_274 ),
inference(forward_demodulation,[],[f7612,f1714]) ).
fof(f7616,definition,
( spl54_275
<=> vd1303 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_275])],[avatar_definition]) ).
fof(f7618,plain,
( vd1303 = sK1
| ~ spl54_275 ),
inference(avatar_component_clause,[],[f7616]) ).
fof(f7620,definition,
( spl54_276
<=> vd1303 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_276])],[avatar_definition]) ).
fof(f7624,definition,
( spl54_277
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_277])],[avatar_definition]) ).
fof(f7626,plain,
( vd684 = sF52
| ~ spl54_277 ),
inference(avatar_component_clause,[],[f7624]) ).
fof(f7627,plain,
( spl54_275
| spl54_276
| spl54_277
| ~ spl54_1
| ~ spl54_2
| ~ spl54_5
| ~ spl54_42
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| spl54_214
| ~ spl54_274 ),
inference(avatar_split_clause,[],[f7614,f7542,f5580,f4072,f4068,f2950,f2016,f1712,f1697,f1692,f7624,f7620,f7616]) ).
fof(f7791,plain,
( rR(vd1303,vd1303,sK3)
| ~ spl54_153
| ~ spl54_275 ),
inference(backward_demodulation,[],[f4129,f7618]) ).
fof(f8158,plain,
( $false
| ~ spl54_3
| ~ spl54_18
| ~ spl54_42
| ~ spl54_153
| ~ spl54_275 ),
inference(forward_subsumption_resolution,[],[f7791,f2024]) ).
fof(f8159,plain,
( ~ spl54_3
| ~ spl54_18
| ~ spl54_42
| ~ spl54_153
| ~ spl54_275 ),
inference(avatar_contradiction_clause,[],[f8158]) ).
fof(f8375,plain,
( vd1303 != sK2
| rR(sK1,sK3,sK2)
| ~ rR(sK1,sK3,vd1303) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f8376,plain,
( vd684 != sF53
| spl54_6
| ~ spl54_277 ),
inference(backward_demodulation,[],[f1719,f7626]) ).
fof(f9300,definition,
( spl54_279
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_279])],[avatar_definition]) ).
fof(f9302,plain,
( vd684 != sF53
| spl54_279 ),
inference(avatar_component_clause,[],[f9300]) ).
fof(f9303,plain,
( ~ spl54_279
| spl54_6
| ~ spl54_277 ),
inference(avatar_split_clause,[],[f8376,f7624,f1717,f9300]) ).
fof(f9983,definition,
( spl54_298
<=> rR(sK3,vd1300,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_298])],[avatar_definition]) ).
fof(f9985,plain,
( rR(sK3,vd1300,sK1)
| ~ spl54_298 ),
inference(avatar_component_clause,[],[f9983]) ).
fof(f9986,plain,
( spl54_298
| ~ spl54_1
| ~ spl54_3
| ~ spl54_7
| ~ spl54_58
| ~ spl54_221 ),
inference(avatar_split_clause,[],[f6153,f6149,f2351,f1722,f1702,f1692,f9983]) ).
fof(f9991,plain,
( rR(vd1329,vd1300,sK1)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_27
| ~ spl54_31
| ~ spl54_58
| ~ spl54_176
| ~ spl54_298 ),
inference(unit_resulting_resolution,[],[f1848,f2353,f1704,f1694,f1867,f4722,f9985]) ).
fof(f10261,definition,
( spl54_311
<=> rR(sK1,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_311])],[avatar_definition]) ).
fof(f10263,plain,
( ~ rR(sK1,sK1,sK2)
| spl54_311 ),
inference(avatar_component_clause,[],[f10261]) ).
fof(f10264,plain,
( ~ spl54_311
| ~ spl54_1
| ~ spl54_2
| ~ spl54_18 ),
inference(avatar_split_clause,[],[f1781,f1775,f1697,f1692,f10261]) ).
fof(f10425,definition,
( spl54_321
<=> vd1329 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_321])],[avatar_definition]) ).
fof(f10426,plain,
( vd1329 != sK2
| spl54_321 ),
inference(avatar_component_clause,[],[f10425]) ).
fof(f10427,plain,
( vd1329 = sK2
| ~ spl54_321 ),
inference(avatar_component_clause,[],[f10425]) ).
fof(f10702,definition,
( spl54_333
<=> ron(sK2,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_333])],[avatar_definition]) ).
fof(f10704,plain,
( ron(sK2,sK12(sK3,sK1))
| ~ spl54_333 ),
inference(avatar_component_clause,[],[f10702]) ).
fof(f10705,plain,
( spl54_333
| ~ spl54_1
| ~ spl54_2
| ~ spl54_59
| ~ spl54_70
| ~ spl54_107
| ~ spl54_109
| ~ spl54_119
| ~ spl54_120 ),
inference(avatar_split_clause,[],[f3341,f3329,f3319,f3136,f3101,f2544,f2417,f1697,f1692,f10702]) ).
fof(f15211,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| rinside(sK1,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_8
| ~ spl54_216 ),
inference(resolution,[],[f5619,f1728]) ).
fof(f15223,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| rinside(sK1,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) )
| ~ spl54_1
| ~ spl54_8
| ~ spl54_216 ),
inference(forward_subsumption_resolution,[],[f15211,f1694]) ).
fof(f15246,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| rinside(sK1,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rpoint(sK3) )
| ~ spl54_1
| ~ spl54_8
| ~ spl54_42
| ~ spl54_216 ),
inference(forward_subsumption_resolution,[],[f15223,f2018]) ).
fof(f15265,plain,
( ! [X0] :
( ~ ron(vd1303,X0)
| rinside(sK1,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0) )
| ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_42
| ~ spl54_216 ),
inference(forward_subsumption_resolution,[],[f15246,f1704]) ).
fof(f15283,definition,
( spl54_361
<=> ! [X0] :
( ~ ron(vd1303,X0)
| rinside(sK1,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_361])],[avatar_definition]) ).
fof(f15284,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| rinside(sK1,X0)
| ~ ron(vd1303,X0)
| ~ rcircle(X0) )
| ~ spl54_361 ),
inference(avatar_component_clause,[],[f15283]) ).
fof(f15285,plain,
( spl54_361
| ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_42
| ~ spl54_216 ),
inference(avatar_split_clause,[],[f15265,f5618,f2016,f1726,f1702,f1692,f15283]) ).
fof(f15287,plain,
( ! [X0] :
( rinside(sK1,sK12(sK3,X0))
| ~ ron(vd1303,sK12(sK3,X0))
| ~ rcircle(sK12(sK3,X0))
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK3 = X0 )
| ~ spl54_178
| ~ spl54_361 ),
inference(resolution,[],[f15284,f4808]) ).
fof(f15288,plain,
( ! [X0] :
( rinside(sK1,sK12(sK3,X0))
| ~ ron(vd1303,sK12(sK3,X0))
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK3 = X0 )
| ~ spl54_92
| ~ spl54_178
| ~ spl54_361 ),
inference(forward_subsumption_resolution,[],[f15287,f2935]) ).
fof(f15290,plain,
( ! [X0] :
( rinside(sK1,sK12(sK3,X0))
| ~ ron(vd1303,sK12(sK3,X0))
| ~ rpoint(X0)
| sK3 = X0 )
| ~ spl54_3
| ~ spl54_92
| ~ spl54_178
| ~ spl54_361 ),
inference(forward_subsumption_resolution,[],[f15288,f1704]) ).
fof(f15320,definition,
( spl54_366
<=> ! [X0] :
( rinside(sK1,sK12(sK3,X0))
| ~ ron(vd1303,sK12(sK3,X0))
| ~ rpoint(X0)
| sK3 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl54_366])],[avatar_definition]) ).
fof(f15321,plain,
( ! [X0] :
( ~ ron(vd1303,sK12(sK3,X0))
| rinside(sK1,sK12(sK3,X0))
| ~ rpoint(X0)
| sK3 = X0 )
| ~ spl54_366 ),
inference(avatar_component_clause,[],[f15320]) ).
fof(f15322,plain,
( spl54_366
| ~ spl54_3
| ~ spl54_92
| ~ spl54_178
| ~ spl54_361 ),
inference(avatar_split_clause,[],[f15290,f15283,f4807,f2934,f1702,f15320]) ).
fof(f17289,definition,
( spl54_401
<=> rinside(vd1329,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_401])],[avatar_definition]) ).
fof(f17291,plain,
( rinside(vd1329,sK12(sK3,sK1))
| ~ spl54_401 ),
inference(avatar_component_clause,[],[f17289]) ).
fof(f18146,definition,
( spl54_410
<=> ! [X0,X1] :
( vf(sK3,vd1303) != vf(sK3,X0)
| ron(X0,X1)
| ~ ron(vd1329,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_410])],[avatar_definition]) ).
fof(f18147,plain,
( ! [X0,X1] :
( vf(sK3,vd1303) != vf(sK3,X0)
| ron(X0,X1)
| ~ ron(vd1329,X1)
| ~ rcenter(sK3,X1)
| ~ rpoint(X0) )
| ~ spl54_410 ),
inference(avatar_component_clause,[],[f18146]) ).
fof(f18148,plain,
( spl54_410
| ~ spl54_31
| ~ spl54_76
| ~ spl54_127 ),
inference(avatar_split_clause,[],[f4512,f3456,f2656,f1865,f18146]) ).
fof(f35209,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ rcenter(sK3,X0)
| ~ rpoint(vd1303) )
| ~ spl54_410 ),
inference(equality_resolution,[],[f18147]) ).
fof(f35210,plain,
( ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ rcenter(sK3,X0) )
| ~ spl54_42
| ~ spl54_410 ),
inference(forward_subsumption_resolution,[],[f35209,f2018]) ).
fof(f35212,definition,
( spl54_474
<=> ! [X0] :
( ron(vd1303,X0)
| ~ ron(vd1329,X0)
| ~ rcenter(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_474])],[avatar_definition]) ).
fof(f35213,plain,
( ! [X0] :
( ~ rcenter(sK3,X0)
| ~ ron(vd1329,X0)
| ron(vd1303,X0) )
| ~ spl54_474 ),
inference(avatar_component_clause,[],[f35212]) ).
fof(f35214,plain,
( spl54_474
| ~ spl54_42
| ~ spl54_410 ),
inference(avatar_split_clause,[],[f35210,f18146,f2016,f35212]) ).
fof(f35216,plain,
( ~ ron(vd1329,sK12(sK3,vd1329))
| ron(vd1303,sK12(sK3,vd1329))
| ~ spl54_190
| ~ spl54_474 ),
inference(resolution,[],[f35213,f5336]) ).
fof(f35222,plain,
( ron(vd1303,sK12(sK3,vd1329))
| ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_75
| ~ spl54_190
| ~ spl54_474 ),
inference(forward_subsumption_resolution,[],[f35216,f2617]) ).
fof(f35231,definition,
( spl54_476
<=> ron(vd1303,sK12(sK3,vd1329)) ),
introduced(definition,[new_symbols(definition,[spl54_476])],[avatar_definition]) ).
fof(f35233,plain,
( ron(vd1303,sK12(sK3,vd1329))
| ~ spl54_476 ),
inference(avatar_component_clause,[],[f35231]) ).
fof(f35234,plain,
( spl54_476
| ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_75
| ~ spl54_190
| ~ spl54_474 ),
inference(avatar_split_clause,[],[f35222,f35212,f5334,f2614,f1865,f1821,f1702,f35231]) ).
fof(f35235,plain,
( rinside(sK1,sK12(sK3,vd1329))
| spl54_24
| ~ spl54_31
| ~ spl54_366
| ~ spl54_476 ),
inference(unit_resulting_resolution,[],[f15321,f1867,f1823,f35233]) ).
fof(f35283,definition,
( spl54_477
<=> rinside(sK1,sK12(sK3,vd1329)) ),
introduced(definition,[new_symbols(definition,[spl54_477])],[avatar_definition]) ).
fof(f35285,plain,
( rinside(sK1,sK12(sK3,vd1329))
| ~ spl54_477 ),
inference(avatar_component_clause,[],[f35283]) ).
fof(f35286,plain,
( spl54_477
| spl54_24
| ~ spl54_31
| ~ spl54_366
| ~ spl54_476 ),
inference(avatar_split_clause,[],[f35235,f35231,f15320,f1865,f1821,f35283]) ).
fof(f35307,definition,
( spl54_478
<=> sK12(sK3,sK1) = sK12(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_478])],[avatar_definition]) ).
fof(f35309,plain,
( sK12(sK3,sK1) = sK12(sK3,sK2)
| ~ spl54_478 ),
inference(avatar_component_clause,[],[f35307]) ).
fof(f35310,plain,
( spl54_478
| ~ spl54_1
| ~ spl54_2
| ~ spl54_59
| ~ spl54_70
| ~ spl54_107
| ~ spl54_109
| ~ spl54_119
| ~ spl54_120 ),
inference(avatar_split_clause,[],[f3336,f3329,f3319,f3136,f3101,f2544,f2417,f1697,f1692,f35307]) ).
fof(f37217,definition,
( spl54_534
<=> rcircle(sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_534])],[avatar_definition]) ).
fof(f37219,plain,
( rcircle(sK12(sK3,sK1))
| ~ spl54_534 ),
inference(avatar_component_clause,[],[f37217]) ).
fof(f37220,plain,
( spl54_534
| ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_92 ),
inference(avatar_split_clause,[],[f2941,f2934,f1760,f1702,f1692,f37217]) ).
fof(f37229,plain,
( ~ rinside(sK1,sK12(sK3,sK1))
| ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_17
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| spl54_311
| ~ spl54_333
| ~ spl54_534 ),
inference(unit_resulting_resolution,[],[f2662,f1694,f1694,f1699,f1813,f1772,f4073,f4073,f1752,f10263,f3138,f10704,f37219]) ).
fof(f37230,plain,
( rR(sK3,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| ~ spl54_156
| ~ spl54_333
| ~ spl54_534 ),
inference(unit_resulting_resolution,[],[f2662,f1704,f1694,f1699,f1813,f1772,f1808,f4073,f1752,f4200,f3138,f10704,f37219]) ).
fof(f39559,plain,
( rinside(sK1,sK12(sK3,sK2))
| ~ spl54_321
| ~ spl54_477 ),
inference(backward_demodulation,[],[f35285,f10427]) ).
fof(f40247,plain,
( rinside(sK1,sK12(sK3,sK1))
| ~ spl54_321
| ~ spl54_477
| ~ spl54_478 ),
inference(forward_demodulation,[],[f39559,f35309]) ).
fof(f40587,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_17
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| spl54_311
| ~ spl54_321
| ~ spl54_333
| ~ spl54_477
| ~ spl54_478
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f40247,f37229]) ).
fof(f40588,plain,
( ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_17
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| spl54_311
| ~ spl54_321
| ~ spl54_333
| ~ spl54_477
| ~ spl54_478
| ~ spl54_534 ),
inference(avatar_contradiction_clause,[],[f40587]) ).
fof(f43940,definition,
( spl54_591
<=> rinside(sK1,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_591])],[avatar_definition]) ).
fof(f43942,plain,
( ~ rinside(sK1,sK12(sK3,sK1))
| spl54_591 ),
inference(avatar_component_clause,[],[f43940]) ).
fof(f43943,plain,
( ~ spl54_591
| ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_17
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| spl54_311
| ~ spl54_333
| ~ spl54_534 ),
inference(avatar_split_clause,[],[f37229,f37217,f10702,f10261,f4072,f3136,f2661,f1811,f1770,f1750,f1697,f1692,f43940]) ).
fof(f43958,plain,
( ~ rinside(vd1303,sK12(sK3,sK1))
| ~ spl54_1
| ~ spl54_2
| ~ spl54_42
| ~ spl54_216
| ~ spl54_224
| ~ spl54_333
| ~ spl54_534
| spl54_591 ),
inference(unit_resulting_resolution,[],[f5619,f2018,f1699,f1694,f6279,f37219,f10704,f43942]) ).
fof(f44167,definition,
( spl54_598
<=> rR(vd1329,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_598])],[avatar_definition]) ).
fof(f44168,plain,
( rR(vd1329,sK3,sK1)
| ~ spl54_598 ),
inference(avatar_component_clause,[],[f44167]) ).
fof(f44169,plain,
( ~ rR(vd1329,sK3,sK1)
| spl54_598 ),
inference(avatar_component_clause,[],[f44167]) ).
fof(f44249,plain,
( ~ rR(vd1329,vd1300,sK1)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58
| ~ spl54_598 ),
inference(unit_resulting_resolution,[],[f1909,f1704,f1867,f2353,f1694,f1901,f44168]) ).
fof(f44288,plain,
( $false
| ~ spl54_1
| ~ spl54_3
| ~ spl54_27
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58
| ~ spl54_176
| ~ spl54_298
| ~ spl54_598 ),
inference(forward_subsumption_resolution,[],[f44249,f9991]) ).
fof(f44289,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_27
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58
| ~ spl54_176
| ~ spl54_298
| ~ spl54_598 ),
inference(avatar_contradiction_clause,[],[f44288]) ).
fof(f50159,definition,
( spl54_756
<=> rR(vd1329,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_756])],[avatar_definition]) ).
fof(f50160,plain,
( ~ rR(vd1329,sK3,sK2)
| spl54_756 ),
inference(avatar_component_clause,[],[f50159]) ).
fof(f50161,plain,
( rR(vd1329,sK3,sK2)
| ~ spl54_756 ),
inference(avatar_component_clause,[],[f50159]) ).
fof(f50194,plain,
( rinside(vd1329,sK12(sK3,sK1))
| ~ spl54_2
| ~ spl54_3
| ~ spl54_31
| ~ spl54_156
| ~ spl54_216
| ~ spl54_333
| ~ spl54_534
| ~ spl54_756 ),
inference(unit_resulting_resolution,[],[f5619,f1704,f1699,f1867,f37219,f4200,f10704,f50161]) ).
fof(f50242,plain,
( spl54_401
| ~ spl54_2
| ~ spl54_3
| ~ spl54_31
| ~ spl54_156
| ~ spl54_216
| ~ spl54_333
| ~ spl54_534
| ~ spl54_756 ),
inference(avatar_split_clause,[],[f50194,f50159,f37217,f10702,f5618,f4198,f1865,f1702,f1697,f17289]) ).
fof(f50247,plain,
( rless(vf(sK3,vd1329),vf(sK3,sK1))
| ~ spl54_1
| ~ spl54_31
| ~ spl54_109
| ~ spl54_119
| ~ spl54_162
| ~ spl54_401 ),
inference(unit_resulting_resolution,[],[f4248,f1867,f1694,f3321,f3138,f17291]) ).
fof(f50283,plain,
( rless(vf(sK3,vd1303),vf(sK3,sK1))
| ~ spl54_1
| ~ spl54_31
| ~ spl54_76
| ~ spl54_109
| ~ spl54_119
| ~ spl54_162
| ~ spl54_401 ),
inference(forward_demodulation,[],[f50247,f2658]) ).
fof(f50322,plain,
( vangle(sK2,vd1329,sK1) = vangle(sK3,vd1329,sK3)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_26
| ~ spl54_31
| ~ spl54_32
| spl54_103
| ~ spl54_150
| spl54_321
| spl54_598
| spl54_756 ),
inference(unit_resulting_resolution,[],[f1832,f1867,f1704,f1704,f1699,f1694,f1813,f1813,f1808,f4073,f3061,f44169,f1823,f1808,f1772,f1891,f1823,f10426,f50160]) ).
fof(f50366,plain,
( vd684 = vangle(sK2,vd1329,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_26
| ~ spl54_31
| ~ spl54_32
| spl54_103
| ~ spl54_150
| ~ spl54_266
| spl54_321
| spl54_598
| spl54_756 ),
inference(forward_demodulation,[],[f50322,f7428]) ).
fof(f50388,plain,
( vd684 = sF53
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_4
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_26
| ~ spl54_31
| ~ spl54_32
| spl54_103
| ~ spl54_150
| ~ spl54_266
| spl54_321
| spl54_598
| spl54_756 ),
inference(backward_demodulation,[],[f1709,f50366]) ).
fof(f50406,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_4
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_26
| ~ spl54_31
| ~ spl54_32
| spl54_103
| ~ spl54_150
| ~ spl54_266
| spl54_279
| spl54_321
| spl54_598
| spl54_756 ),
inference(forward_subsumption_resolution,[],[f50388,f9302]) ).
fof(f50407,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_4
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_26
| ~ spl54_31
| ~ spl54_32
| spl54_103
| ~ spl54_150
| ~ spl54_266
| spl54_279
| spl54_321
| spl54_598
| spl54_756 ),
inference(avatar_contradiction_clause,[],[f50406]) ).
fof(f56237,definition,
( spl54_884
<=> rless(vf(sK3,vd1303),vf(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_884])],[avatar_definition]) ).
fof(f56239,plain,
( rless(vf(sK3,vd1303),vf(sK3,sK1))
| ~ spl54_884 ),
inference(avatar_component_clause,[],[f56237]) ).
fof(f56240,plain,
( spl54_884
| ~ spl54_1
| ~ spl54_31
| ~ spl54_76
| ~ spl54_109
| ~ spl54_119
| ~ spl54_162
| ~ spl54_401 ),
inference(avatar_split_clause,[],[f50283,f17289,f4247,f3319,f3136,f2656,f1865,f1692,f56237]) ).
fof(f56241,plain,
( rinside(vd1303,sK12(sK3,sK1))
| ~ spl54_42
| ~ spl54_119
| ~ spl54_171
| ~ spl54_333
| ~ spl54_884 ),
inference(unit_resulting_resolution,[],[f4609,f2018,f3321,f10704,f56239]) ).
fof(f56269,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_42
| ~ spl54_119
| ~ spl54_171
| ~ spl54_216
| ~ spl54_224
| ~ spl54_333
| ~ spl54_534
| spl54_591
| ~ spl54_884 ),
inference(forward_subsumption_resolution,[],[f56241,f43958]) ).
fof(f56270,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_42
| ~ spl54_119
| ~ spl54_171
| ~ spl54_216
| ~ spl54_224
| ~ spl54_333
| ~ spl54_534
| spl54_591
| ~ spl54_884 ),
inference(avatar_contradiction_clause,[],[f56269]) ).
fof(f56281,plain,
( vd1329 != sK1
| rR(sK3,vd1329,vd1300)
| ~ rR(sK3,sK1,vd1300) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f56634,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| ~ spl54_156
| spl54_218
| ~ spl54_333
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f37230,f5641]) ).
fof(f56635,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| ~ spl54_156
| spl54_218
| ~ spl54_333
| ~ spl54_534 ),
inference(avatar_contradiction_clause,[],[f56634]) ).
cnf(s1,plain,
spl54_1,
inference(sat_conversion,[],[f1695]) ).
cnf(s2,plain,
spl54_2,
inference(sat_conversion,[],[f1700]) ).
cnf(s3,plain,
spl54_3,
inference(sat_conversion,[],[f1705]) ).
cnf(s4,plain,
spl54_4,
inference(sat_conversion,[],[f1710]) ).
cnf(s5,plain,
spl54_5,
inference(sat_conversion,[],[f1715]) ).
cnf(s6,plain,
~ spl54_6,
inference(sat_conversion,[],[f1720]) ).
cnf(s7,plain,
spl54_7,
inference(sat_conversion,[],[f1724]) ).
cnf(s8,plain,
spl54_8,
inference(sat_conversion,[],[f1729]) ).
cnf(s10,plain,
~ spl54_10,
inference(sat_conversion,[],[f1739]) ).
cnf(s11,plain,
spl54_11,
inference(sat_conversion,[],[f1744]) ).
cnf(s12,plain,
spl54_12,
inference(sat_conversion,[],[f1748]) ).
cnf(s13,plain,
~ spl54_13,
inference(sat_conversion,[],[f1753]) ).
cnf(s14,plain,
~ spl54_14,
inference(sat_conversion,[],[f1758]) ).
cnf(s15,plain,
~ spl54_15,
inference(sat_conversion,[],[f1763]) ).
cnf(s17,plain,
spl54_17,
inference(sat_conversion,[],[f1773]) ).
cnf(s18,plain,
spl54_18,
inference(sat_conversion,[],[f1777]) ).
cnf(s19,plain,
spl54_19,
inference(sat_conversion,[],[f1790]) ).
cnf(s21,plain,
spl54_21,
inference(sat_conversion,[],[f1809]) ).
cnf(s22,plain,
spl54_22,
inference(sat_conversion,[],[f1814]) ).
cnf(s24,plain,
~ spl54_24,
inference(sat_conversion,[],[f1824]) ).
cnf(s26,plain,
spl54_26,
inference(sat_conversion,[],[f1833]) ).
cnf(s27,plain,
spl54_27,
inference(sat_conversion,[],[f1849]) ).
cnf(s28,plain,
spl54_28,
inference(sat_conversion,[],[f1853]) ).
cnf(s31,plain,
spl54_31,
inference(sat_conversion,[],[f1868]) ).
cnf(s32,plain,
spl54_32,
inference(sat_conversion,[],[f1892]) ).
cnf(s33,plain,
spl54_33,
inference(sat_conversion,[],[f1902]) ).
cnf(s34,plain,
spl54_34,
inference(sat_conversion,[],[f1906]) ).
cnf(s35,plain,
spl54_35,
inference(sat_conversion,[],[f1910]) ).
cnf(s40,plain,
spl54_40,
inference(sat_conversion,[],[f1988]) ).
cnf(s42,plain,
spl54_42,
inference(sat_conversion,[],[f2019]) ).
cnf(s45,plain,
spl54_45,
inference(sat_conversion,[],[f2096]) ).
cnf(s46,plain,
spl54_46,
inference(sat_conversion,[],[f2100]) ).
cnf(s47,plain,
spl54_47,
inference(sat_conversion,[],[f2104]) ).
cnf(s49,plain,
( ~ spl54_3
| ~ spl54_12
| ~ spl54_31
| ~ spl54_33
| ~ spl54_49 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s53,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_40
| ~ spl54_42
| spl54_53 ),
inference(sat_conversion,[],[f2292]) ).
cnf(s57,plain,
spl54_57,
inference(sat_conversion,[],[f2341]) ).
cnf(s58,plain,
spl54_58,
inference(sat_conversion,[],[f2354]) ).
cnf(s59,plain,
spl54_59,
inference(sat_conversion,[],[f2420]) ).
cnf(s69,plain,
spl54_69,
inference(sat_conversion,[],[f2542]) ).
cnf(s70,plain,
spl54_70,
inference(sat_conversion,[],[f2546]) ).
cnf(s75,plain,
spl54_75,
inference(sat_conversion,[],[f2616]) ).
cnf(s76,plain,
spl54_76,
inference(sat_conversion,[],[f2659]) ).
cnf(s77,plain,
spl54_77,
inference(sat_conversion,[],[f2663]) ).
cnf(s82,plain,
spl54_82,
inference(sat_conversion,[],[f2757]) ).
cnf(s84,plain,
spl54_84,
inference(sat_conversion,[],[f2849]) ).
cnf(s87,plain,
( ~ spl54_26
| ~ spl54_34
| ~ spl54_46
| spl54_87 ),
inference(sat_conversion,[],[f2895]) ).
cnf(s91,plain,
( ~ spl54_3
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58
| spl54_91 ),
inference(sat_conversion,[],[f2930]) ).
cnf(s92,plain,
spl54_92,
inference(sat_conversion,[],[f2936]) ).
cnf(s93,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_28
| ~ spl54_42
| spl54_93 ),
inference(sat_conversion,[],[f2952]) ).
cnf(s106,plain,
( ~ spl54_2
| ~ spl54_3
| spl54_14
| ~ spl54_75
| spl54_107 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s108,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_75
| spl54_109 ),
inference(sat_conversion,[],[f3139]) ).
cnf(s113,plain,
( ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_45
| spl54_114 ),
inference(sat_conversion,[],[f3240]) ).
cnf(s115,plain,
spl54_116,
inference(sat_conversion,[],[f3283]) ).
cnf(s118,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_116
| spl54_119 ),
inference(sat_conversion,[],[f3322]) ).
cnf(s119,plain,
( ~ spl54_2
| ~ spl54_3
| spl54_14
| ~ spl54_116
| spl54_120 ),
inference(sat_conversion,[],[f3332]) ).
cnf(s126,plain,
spl54_127,
inference(sat_conversion,[],[f3458]) ).
cnf(s148,plain,
( ~ spl54_21
| ~ spl54_22
| ~ spl54_53
| spl54_149
| ~ spl54_150 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s151,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_7
| ~ spl54_8
| ~ spl54_42
| spl54_153 ),
inference(sat_conversion,[],[f4130]) ).
cnf(s154,plain,
( ~ spl54_84
| ~ spl54_119
| spl54_156 ),
inference(sat_conversion,[],[f4201]) ).
cnf(s160,plain,
spl54_162,
inference(sat_conversion,[],[f4249]) ).
cnf(s162,plain,
spl54_164,
inference(sat_conversion,[],[f4270]) ).
cnf(s164,plain,
( ~ spl54_45
| ~ spl54_87
| spl54_166 ),
inference(sat_conversion,[],[f4287]) ).
cnf(s165,plain,
( ~ spl54_19
| ~ spl54_45
| ~ spl54_166
| spl54_167 ),
inference(sat_conversion,[],[f4344]) ).
cnf(s170,plain,
( ~ spl54_2
| ~ spl54_59
| ~ spl54_164
| spl54_171 ),
inference(sat_conversion,[],[f4610]) ).
cnf(s175,plain,
( ~ spl54_3
| ~ spl54_7
| ~ spl54_31
| ~ spl54_33
| spl54_176 ),
inference(sat_conversion,[],[f4723]) ).
cnf(s177,plain,
( ~ spl54_84
| ~ spl54_116
| spl54_178 ),
inference(sat_conversion,[],[f4809]) ).
cnf(s188,plain,
( ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_116
| spl54_190 ),
inference(sat_conversion,[],[f5337]) ).
cnf(s198,plain,
( ~ spl54_34
| ~ spl54_46
| ~ spl54_167
| spl54_198 ),
inference(sat_conversion,[],[f5408]) ).
cnf(s212,plain,
spl54_216,
inference(sat_conversion,[],[f5620]) ).
cnf(s219,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_10
| spl54_13
| spl54_14
| spl54_15
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_47
| ~ spl54_57
| ~ spl54_69
| ~ spl54_82
| ~ spl54_114
| spl54_150
| ~ spl54_167
| ~ spl54_198
| spl54_218 ),
inference(sat_conversion,[],[f5678]) ).
cnf(s221,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_7
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_40
| spl54_150
| ~ spl54_218 ),
inference(sat_conversion,[],[f5734]) ).
cnf(s224,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_11
| ~ spl54_28
| ~ spl54_58
| ~ spl54_218
| spl54_221 ),
inference(sat_conversion,[],[f6152]) ).
cnf(s227,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_28
| ~ spl54_42
| ~ spl54_153
| ~ spl54_218
| spl54_224 ),
inference(sat_conversion,[],[f6280]) ).
cnf(s244,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_12
| ~ spl54_214
| ~ spl54_218 ),
inference(sat_conversion,[],[f6520]) ).
cnf(s290,plain,
( ~ spl54_3
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47
| spl54_265 ),
inference(sat_conversion,[],[f7352]) ).
cnf(s291,plain,
( ~ spl54_3
| ~ spl54_21
| spl54_24
| ~ spl54_31
| ~ spl54_32
| ~ spl54_91
| ~ spl54_176
| ~ spl54_265
| spl54_266 ),
inference(sat_conversion,[],[f7429]) ).
cnf(s299,plain,
( ~ spl54_2
| ~ spl54_17
| ~ spl54_22
| ~ spl54_47
| spl54_274 ),
inference(sat_conversion,[],[f7544]) ).
cnf(s300,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_5
| ~ spl54_42
| ~ spl54_93
| ~ spl54_149
| ~ spl54_150
| spl54_214
| ~ spl54_274
| spl54_275
| spl54_276
| spl54_277 ),
inference(sat_conversion,[],[f7627]) ).
cnf(s303,plain,
( ~ spl54_3
| ~ spl54_18
| ~ spl54_42
| ~ spl54_153
| ~ spl54_275 ),
inference(sat_conversion,[],[f8159]) ).
cnf(s305,plain,
( ~ spl54_8
| spl54_214
| ~ spl54_276 ),
inference(sat_conversion,[],[f8375]) ).
cnf(s307,plain,
( spl54_6
| ~ spl54_277
| ~ spl54_279 ),
inference(sat_conversion,[],[f9303]) ).
cnf(s328,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_7
| ~ spl54_58
| ~ spl54_221
| spl54_298 ),
inference(sat_conversion,[],[f9986]) ).
cnf(s341,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_18
| ~ spl54_311 ),
inference(sat_conversion,[],[f10264]) ).
cnf(s360,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_59
| ~ spl54_70
| ~ spl54_107
| ~ spl54_109
| ~ spl54_119
| ~ spl54_120
| spl54_333 ),
inference(sat_conversion,[],[f10705]) ).
cnf(s394,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_8
| ~ spl54_42
| ~ spl54_216
| spl54_361 ),
inference(sat_conversion,[],[f15285]) ).
cnf(s398,plain,
( ~ spl54_3
| ~ spl54_92
| ~ spl54_178
| ~ spl54_361
| spl54_366 ),
inference(sat_conversion,[],[f15322]) ).
cnf(s441,plain,
( ~ spl54_31
| ~ spl54_76
| ~ spl54_127
| spl54_410 ),
inference(sat_conversion,[],[f18148]) ).
cnf(s805,plain,
( ~ spl54_42
| ~ spl54_410
| spl54_474 ),
inference(sat_conversion,[],[f35214]) ).
cnf(s807,plain,
( ~ spl54_3
| spl54_24
| ~ spl54_31
| ~ spl54_75
| ~ spl54_190
| ~ spl54_474
| spl54_476 ),
inference(sat_conversion,[],[f35234]) ).
cnf(s808,plain,
( spl54_24
| ~ spl54_31
| ~ spl54_366
| ~ spl54_476
| spl54_477 ),
inference(sat_conversion,[],[f35286]) ).
cnf(s809,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_59
| ~ spl54_70
| ~ spl54_107
| ~ spl54_109
| ~ spl54_119
| ~ spl54_120
| spl54_478 ),
inference(sat_conversion,[],[f35310]) ).
cnf(s866,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_15
| ~ spl54_92
| spl54_534 ),
inference(sat_conversion,[],[f37220]) ).
cnf(s941,plain,
( ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_17
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| spl54_311
| ~ spl54_321
| ~ spl54_333
| ~ spl54_477
| ~ spl54_478
| ~ spl54_534 ),
inference(sat_conversion,[],[f40588]) ).
cnf(s980,plain,
( ~ spl54_1
| ~ spl54_2
| spl54_13
| ~ spl54_17
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| spl54_311
| ~ spl54_333
| ~ spl54_534
| ~ spl54_591 ),
inference(sat_conversion,[],[f43943]) ).
cnf(s991,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_27
| ~ spl54_31
| ~ spl54_33
| ~ spl54_35
| ~ spl54_58
| ~ spl54_176
| ~ spl54_298
| ~ spl54_598 ),
inference(sat_conversion,[],[f44289]) ).
cnf(s1159,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_31
| ~ spl54_156
| ~ spl54_216
| ~ spl54_333
| spl54_401
| ~ spl54_534
| ~ spl54_756 ),
inference(sat_conversion,[],[f50242]) ).
cnf(s1168,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_4
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| spl54_24
| ~ spl54_26
| ~ spl54_31
| ~ spl54_32
| spl54_103
| ~ spl54_150
| ~ spl54_266
| spl54_279
| spl54_321
| spl54_598
| spl54_756 ),
inference(sat_conversion,[],[f50407]) ).
cnf(s1300,plain,
( ~ spl54_1
| ~ spl54_31
| ~ spl54_76
| ~ spl54_109
| ~ spl54_119
| ~ spl54_162
| ~ spl54_401
| spl54_884 ),
inference(sat_conversion,[],[f56240]) ).
cnf(s1301,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_42
| ~ spl54_119
| ~ spl54_171
| ~ spl54_216
| ~ spl54_224
| ~ spl54_333
| ~ spl54_534
| spl54_591
| ~ spl54_884 ),
inference(sat_conversion,[],[f56270]) ).
cnf(s1304,plain,
( spl54_49
| ~ spl54_103
| ~ spl54_221 ),
inference(sat_conversion,[],[f56281]) ).
cnf(s1398,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_17
| ~ spl54_21
| ~ spl54_22
| ~ spl54_77
| ~ spl54_109
| ~ spl54_150
| ~ spl54_156
| spl54_218
| ~ spl54_333
| ~ spl54_534 ),
inference(sat_conversion,[],[f56635]) ).
cnf(s1456,plain,
spl54_178,
inference(rat,[],[s177,s115,s84]) ).
cnf(s1482,plain,
spl54_410,
inference(rat,[],[s441,s76,s126,s31]) ).
cnf(s1488,plain,
spl54_474,
inference(rat,[],[s805,s42,s1482]) ).
cnf(s1499,plain,
spl54_87,
inference(rat,[],[s87,s34,s46,s26]) ).
cnf(s1501,plain,
spl54_166,
inference(rat,[],[s164,s45,s1499]) ).
cnf(s1510,plain,
spl54_167,
inference(rat,[],[s165,s1501,s45,s19]) ).
cnf(s1513,plain,
spl54_198,
inference(rat,[],[s198,s34,s46,s1510]) ).
cnf(s1553,plain,
spl54_265,
inference(rat,[],[s290,s21,s47,s22,s3]) ).
cnf(s1556,plain,
spl54_190,
inference(rat,[],[s188,s24,s115,s31,s3]) ).
cnf(s1561,plain,
spl54_176,
inference(rat,[],[s175,s7,s33,s31,s3]) ).
cnf(s1564,plain,
spl54_91,
inference(rat,[],[s91,s31,s58,s35,s33,s3]) ).
cnf(s1571,plain,
~ spl54_49,
inference(rat,[],[s49,s12,s33,s31,s3]) ).
cnf(s1583,plain,
spl54_476,
inference(rat,[],[s807,s3,s1488,s24,s75,s31,s1556]) ).
cnf(s1585,plain,
spl54_266,
inference(rat,[],[s291,s1561,s1553,s3,s21,s32,s31,s24,s1564]) ).
cnf(s1647,plain,
spl54_274,
inference(rat,[],[s299,s17,s47,s22,s2]) ).
cnf(s1655,plain,
spl54_171,
inference(rat,[],[s170,s59,s162,s2]) ).
cnf(s1664,plain,
spl54_120,
inference(rat,[],[s119,s3,s115,s14,s2]) ).
cnf(s1666,plain,
spl54_107,
inference(rat,[],[s106,s3,s75,s14,s2]) ).
cnf(s1774,plain,
spl54_534,
inference(rat,[],[s866,s3,s92,s15,s1]) ).
cnf(s1793,plain,
spl54_361,
inference(rat,[],[s394,s3,s212,s42,s8,s1]) ).
cnf(s1799,plain,
~ spl54_311,
inference(rat,[],[s341,s2,s18,s1]) ).
cnf(s1815,plain,
spl54_153,
inference(rat,[],[s151,s3,s42,s8,s7,s1]) ).
cnf(s1823,plain,
spl54_119,
inference(rat,[],[s118,s3,s115,s15,s1]) ).
cnf(s1826,plain,
spl54_114,
inference(rat,[],[s113,s2,s45,s13,s1]) ).
cnf(s1829,plain,
spl54_109,
inference(rat,[],[s108,s3,s75,s15,s1]) ).
cnf(s1834,plain,
spl54_93,
inference(rat,[],[s93,s3,s42,s28,s8,s1]) ).
cnf(s1839,plain,
spl54_53,
inference(rat,[],[s53,s3,s42,s40,s8,s1]) ).
cnf(s1844,plain,
spl54_366,
inference(rat,[],[s398,s3,s1456,s92,s1793]) ).
cnf(s1852,plain,
~ spl54_275,
inference(rat,[],[s303,s3,s18,s42,s1815]) ).
cnf(s1859,plain,
spl54_156,
inference(rat,[],[s154,s84,s1823]) ).
cnf(s1866,plain,
spl54_478,
inference(rat,[],[s809,s1823,s1664,s1,s1666,s2,s70,s59,s1829]) ).
cnf(s1867,plain,
spl54_333,
inference(rat,[],[s360,s1823,s1664,s1,s1666,s2,s70,s59,s1829]) ).
cnf(s1880,plain,
spl54_477,
inference(rat,[],[s808,s1583,s24,s31,s1844]) ).
cnf(s1903,plain,
spl54_150,
inference(rat,[],[s219,s221,s3,s10,s13,s14,s15,s17,s21,s22,s24,s31,s32,s47,s57,s69,s82,s2,s1,s1510,s1513,s1826,s7,s40]) ).
cnf(s1936,plain,
spl54_218,
inference(rat,[],[s1398,s1774,s1867,s1829,s1859,s1,s2,s77,s22,s21,s17,s13,s3,s1903]) ).
cnf(s1939,plain,
~ spl54_591,
inference(rat,[],[s980,s1867,s1774,s1829,s1799,s1,s2,s77,s22,s17,s13,s1903]) ).
cnf(s1941,plain,
~ spl54_321,
inference(rat,[],[s941,s1774,s1866,s1880,s1867,s1829,s1799,s1,s2,s77,s22,s17,s13,s1903]) ).
cnf(s1951,plain,
spl54_149,
inference(rat,[],[s148,s1839,s21,s22,s1903]) ).
cnf(s1966,plain,
spl54_221,
inference(rat,[],[s224,s1,s2,s58,s28,s11,s3,s1936]) ).
cnf(s1968,plain,
~ spl54_214,
inference(rat,[],[s244,s1,s2,s12,s3,s1936]) ).
cnf(s1969,plain,
spl54_224,
inference(rat,[],[s227,s1815,s1,s2,s42,s28,s3,s1936]) ).
cnf(s2002,plain,
spl54_298,
inference(rat,[],[s328,s1,s3,s58,s7,s1966]) ).
cnf(s2017,plain,
~ spl54_884,
inference(rat,[],[s1301,s1939,s1867,s1774,s1823,s1,s212,s1655,s2,s42,s1969]) ).
cnf(s2028,plain,
~ spl54_598,
inference(rat,[],[s991,s1,s1561,s3,s58,s35,s33,s31,s27,s2002]) ).
cnf(s2051,plain,
~ spl54_401,
inference(rat,[],[s1300,s1829,s1823,s160,s1,s31,s76,s2017]) ).
cnf(s2086,plain,
~ spl54_756,
inference(rat,[],[s1159,s1867,s1774,s1859,s2,s212,s3,s31,s2051]) ).
cnf(s2087,plain,
~ spl54_103,
inference(rat,[],[s1304,s1571,s1966]) ).
cnf(s2088,plain,
~ spl54_276,
inference(rat,[],[s305,s8,s1968]) ).
cnf(s2090,plain,
spl54_277,
inference(rat,[],[s300,s1951,s2088,s1852,s1647,s1903,s1834,s1,s2,s42,s5,s1968]) ).
cnf(s2103,plain,
spl54_279,
inference(rat,[],[s1168,s2028,s1941,s1903,s2087,s1585,s1,s2,s32,s31,s26,s24,s22,s21,s17,s4,s3,s2086]) ).
cnf(s2125,plain,
$false,
inference(rat,[],[s307,s6,s2103,s2090]) ).
fof(f57165,plain,
$false,
inference(avatar_sat_refutation,[],[s2125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO325+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n012.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 08:05:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 Running first-order theorem proving
% 0.09/0.37 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
% 7.97/1.85 % (2052273)Detected formulas, will run a generic FOF schedule.
% 7.97/1.85 % (2052280)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=316834772:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.97/1.85 % (2052283)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4190742356:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.97/1.85 % (2052281)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1619047055:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.97/1.85 % (2052282)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1660522215:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.97/1.85 % (2052279)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=2044349550:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.97/1.85 % (2052278)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=3762039636:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.97/1.85 % (2052284)dis-21_1_sil=8000:lcm=predicate:random_seed=914530912: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)
% 7.97/1.85 % (2052281)Refutation not found, incomplete strategy
% 7.97/1.85 % (2052281)------------------------------
% 7.97/1.85 % (2052281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.85 % (2052281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.85 % (2052281)CaDiCaL version: 2.1.3
% 7.97/1.85 % (2052281)Termination reason: Refutation not found, incomplete strategy
% 7.97/1.85 % (2052281)Time elapsed: 0.004 s
% 7.97/1.85 % (2052281)Peak memory usage: 88 MB
% 7.97/1.85 % (2052281)Instructions burned: 10 (million)
% 7.97/1.85 % (2052282)Instruction limit reached!
% 7.97/1.85 % (2052282)------------------------------
% 7.97/1.85 % (2052282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.85 % (2052282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.85 % (2052282)CaDiCaL version: 2.1.3
% 7.97/1.85 % (2052282)Termination reason: Instruction limit
% 7.97/1.85 % (2052282)Termination phase: Saturation
% 7.97/1.85 % (2052282)Time elapsed: 0.030 s
% 7.97/1.85 % (2052282)Peak memory usage: 88 MB
% 7.97/1.85 % (2052282)Instructions burned: 119 (million)
% 7.97/1.85 % (2052284)Instruction limit reached!
% 7.97/1.85 % (2052284)------------------------------
% 7.97/1.85 % (2052284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.85 % (2052284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.85 % (2052284)CaDiCaL version: 2.1.3
% 7.97/1.85 % (2052284)Termination reason: Instruction limit
% 7.97/1.85 % (2052284)Termination phase: Saturation
% 7.97/1.85 % (2052284)Time elapsed: 0.037 s
% 7.97/1.85 % (2052284)Peak memory usage: 90 MB
% 7.97/1.85 % (2052284)Instructions burned: 129 (million)
% 7.97/1.85 % (2052283)Instruction limit reached!
% 7.97/1.85 % (2052283)------------------------------
% 7.97/1.85 % (2052283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.97/1.85 % (2052283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.97/1.85 % (2052283)CaDiCaL version: 2.1.3
% 7.97/1.85 % (2052283)Termination reason: Instruction limit
% 7.97/1.85 % (2052283)Termination phase: Saturation
% 7.97/1.85 % (2052283)Time elapsed: 0.047 s
% 7.97/1.85 % (2052283)Peak memory usage: 90 MB
% 7.97/1.85 % (2052283)Instructions burned: 142 (million)
% 7.97/1.85 % (2052292)lrs+10_1_sil=8000:sp=occurrence:random_seed=279763619:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.97/1.85 % (2052281)------------------------------
% 7.97/1.85 % (2052281)------------------------------
% 7.97/1.85 % (2052294)lrs+1011_1_sil=32000:sp=occurrence:random_seed=566451158:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 7.97/1.85 % (2052293)lrs+10_1_sil=32000:urr=on:br=off:random_seed=514904915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 7.97/1.85 % (2052293)Instruction limit reached!
% 7.97/1.85 % (2052293)------------------------------
% 7.97/1.85 % (2052293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.54 % (2052293)CaDiCaL version: 2.1.3
% 13.34/2.54 % (2052293)Termination reason: Instruction limit
% 13.34/2.54 % (2052293)Termination phase: Saturation
% 13.34/2.54 % (2052293)Time elapsed: 0.040 s
% 13.34/2.54 % (2052293)Peak memory usage: 89 MB
% 13.34/2.54 % (2052293)Instructions burned: 158 (million)
% 13.34/2.54 % (2052292)Instruction limit reached!
% 13.34/2.54 % (2052292)------------------------------
% 13.34/2.54 % (2052292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.54 % (2052292)CaDiCaL version: 2.1.3
% 13.34/2.54 % (2052292)Termination reason: Instruction limit
% 13.34/2.54 % (2052292)Termination phase: Saturation
% 13.34/2.54 % (2052292)Time elapsed: 0.076 s
% 13.34/2.54 % (2052292)Peak memory usage: 91 MB
% 13.34/2.54 % (2052292)Instructions burned: 286 (million)
% 13.34/2.54 % (2052294)Instruction limit reached!
% 13.34/2.54 % (2052294)------------------------------
% 13.34/2.54 % (2052294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.54 % (2052294)CaDiCaL version: 2.1.3
% 13.34/2.54 % (2052294)Termination reason: Instruction limit
% 13.34/2.54 % (2052294)Termination phase: Saturation
% 13.34/2.54 % (2052294)Time elapsed: 0.080 s
% 13.34/2.54 % (2052294)Peak memory usage: 90 MB
% 13.34/2.54 % (2052294)Instructions burned: 326 (million)
% 13.34/2.54 % (2052298)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=289820439:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.34/2.54 % (2052299)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3244841127:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 13.34/2.54 % (2052300)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3139801813:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 13.34/2.54 % (2052298)Instruction limit reached!
% 13.34/2.54 % (2052298)------------------------------
% 13.34/2.54 % (2052298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.54 % (2052298)CaDiCaL version: 2.1.3
% 13.34/2.54 % (2052298)Termination reason: Instruction limit
% 13.34/2.54 % (2052298)Termination phase: Saturation
% 13.34/2.54 % (2052298)Time elapsed: 0.067 s
% 13.34/2.54 % (2052298)Peak memory usage: 90 MB
% 13.34/2.54 % (2052298)Instructions burned: 252 (million)
% 13.34/2.54 % (2052301)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=341732619:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 13.34/2.54 % (2052299)Instruction limit reached!
% 13.34/2.54 % (2052299)------------------------------
% 13.34/2.54 % (2052299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.54 % (2052299)CaDiCaL version: 2.1.3
% 13.34/2.54 % (2052299)Termination reason: Instruction limit
% 13.34/2.54 % (2052299)Termination phase: Saturation
% 13.34/2.54 % (2052299)Time elapsed: 0.074 s
% 13.34/2.54 % (2052299)Peak memory usage: 89 MB
% 13.34/2.54 % (2052299)Instructions burned: 294 (million)
% 13.34/2.54 % (2052301)Instruction limit reached!
% 13.34/2.54 % (2052301)------------------------------
% 13.34/2.54 % (2052301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.54 % (2052301)CaDiCaL version: 2.1.3
% 13.34/2.54 % (2052301)Termination reason: Instruction limit
% 13.34/2.54 % (2052301)Termination phase: Saturation
% 13.34/2.54 % (2052301)Time elapsed: 0.031 s
% 13.34/2.54 % (2052301)Peak memory usage: 90 MB
% 13.34/2.54 % (2052301)Instructions burned: 115 (million)
% 13.34/2.54 % (2052305)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1233840618:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 13.34/2.54 % (2052305)Refutation not found, incomplete strategy
% 13.34/2.54 % (2052305)------------------------------
% 13.34/2.54 % (2052305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.54 % (2052305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/3.80 % (2052305)CaDiCaL version: 2.1.3
% 22.58/3.80 % (2052305)Termination reason: Refutation not found, incomplete strategy
% 22.58/3.80 % (2052305)Time elapsed: 0.015 s
% 22.58/3.80 % (2052305)Peak memory usage: 89 MB
% 22.58/3.80 % (2052305)Instructions burned: 56 (million)
% 22.58/3.80 % (2052307)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3041014244:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 22.58/3.80 % (2052308)lrs+10_1_sil=8000:sp=occurrence:random_seed=1892907351:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 22.58/3.80 % (2052307)Instruction limit reached!
% 22.58/3.80 % (2052307)------------------------------
% 22.58/3.80 % (2052307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.58/3.80 % (2052307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/3.80 % (2052307)CaDiCaL version: 2.1.3
% 22.58/3.80 % (2052307)Termination reason: Instruction limit
% 22.58/3.80 % (2052307)Termination phase: Saturation
% 22.58/3.80 % (2052307)Time elapsed: 0.028 s
% 22.58/3.80 % (2052307)Peak memory usage: 88 MB
% 22.58/3.80 % (2052307)Instructions burned: 117 (million)
% 22.58/3.80 % (2052305)------------------------------
% 22.58/3.80 % (2052305)------------------------------
% 22.58/3.80 % (2052312)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2791153912:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 22.58/3.80 % (2052312)Refutation not found, incomplete strategy
% 22.58/3.80 % (2052312)------------------------------
% 22.58/3.80 % (2052312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.58/3.80 % (2052312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/3.80 % (2052312)CaDiCaL version: 2.1.3
% 22.58/3.80 % (2052312)Termination reason: Refutation not found, incomplete strategy
% 22.58/3.80 % (2052312)Time elapsed: 0.010 s
% 22.58/3.80 % (2052312)Peak memory usage: 89 MB
% 22.58/3.80 % (2052312)Instructions burned: 34 (million)
% 22.58/3.80 % (2052308)Instruction limit reached!
% 22.58/3.80 % (2052308)------------------------------
% 22.58/3.80 % (2052308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.58/3.80 % (2052308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/3.80 % (2052308)CaDiCaL version: 2.1.3
% 22.58/3.80 % (2052308)Termination reason: Instruction limit
% 22.58/3.80 % (2052308)Termination phase: Saturation
% 22.58/3.80 % (2052308)Time elapsed: 0.241 s
% 22.58/3.80 % (2052308)Peak memory usage: 95 MB
% 22.58/3.80 % (2052308)Instructions burned: 911 (million)
% 22.58/3.80 % (2052313)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2401024186:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 22.58/3.80 % (2052312)------------------------------
% 22.58/3.80 % (2052312)------------------------------
% 22.58/3.80 % (2052315)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2565615894:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 22.58/3.80 % (2052315)Instruction limit reached!
% 22.58/3.80 % (2052315)------------------------------
% 22.58/3.80 % (2052315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.58/3.80 % (2052315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/3.80 % (2052315)CaDiCaL version: 2.1.3
% 22.58/3.80 % (2052315)Termination reason: Instruction limit
% 22.58/3.80 % (2052315)Termination phase: Saturation
% 22.58/3.80 % (2052315)Time elapsed: 0.036 s
% 22.58/3.80 % (2052315)Peak memory usage: 93 MB
% 22.58/3.80 % (2052315)Instructions burned: 134 (million)
% 22.58/3.80 % (2052317)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=924667657:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 22.58/3.80 % (2052319)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3017747657:st=3:i=13193:sd=3:ss=axioms_2989 on theBenchmark for (2989ds/13193Mi)
% 22.58/3.80 % (2052317)Instruction limit reached!
% 22.58/3.80 % (2052317)------------------------------
% 22.58/3.80 % (2052317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.58/3.80 % (2052317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.58/3.80 % (2052317)CaDiCaL version: 2.1.3
% 22.58/3.80 % (2052317)Termination reason: Instruction limit
% 22.58/3.80 % (2052317)Termination phase: Saturation
% 22.58/3.80 % (2052317)Time elapsed: 0.158 s
% 22.58/3.80 % (2052317)Peak memory usage: 92 MB
% 22.58/3.80 % (2052317)Instructions burned: 597 (million)
% 38.47/6.09 % (2052300)Instruction limit reached!
% 38.47/6.09 % (2052300)------------------------------
% 38.47/6.09 % (2052300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.47/6.09 % (2052300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.47/6.09 % (2052300)CaDiCaL version: 2.1.3
% 38.47/6.09 % (2052300)Termination reason: Instruction limit
% 38.47/6.09 % (2052300)Termination phase: Saturation
% 38.47/6.09 % (2052300)Time elapsed: 0.837 s
% 38.47/6.09 % (2052300)Peak memory usage: 142 MB
% 38.47/6.09 % (2052300)Instructions burned: 2351 (million)
% 38.47/6.09 % (2052322)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=2807912272:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/125Mi)
% 38.47/6.09 % (2052322)Instruction limit reached!
% 38.47/6.09 % (2052322)------------------------------
% 38.47/6.09 % (2052322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.47/6.09 % (2052322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.47/6.09 % (2052322)CaDiCaL version: 2.1.3
% 38.47/6.09 % (2052322)Termination reason: Instruction limit
% 38.47/6.09 % (2052322)Termination phase: Saturation
% 38.47/6.09 % (2052322)Time elapsed: 0.034 s
% 38.47/6.09 % (2052322)Peak memory usage: 91 MB
% 38.47/6.09 % (2052322)Instructions burned: 127 (million)
% 38.47/6.09 % (2052323)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2827374741:i=134:gtgl=5:slsql=off:gtg=exists_sym_2986 on theBenchmark for (2986ds/134Mi)
% 38.47/6.09 % (2052323)Instruction limit reached!
% 38.47/6.09 % (2052323)------------------------------
% 38.47/6.09 % (2052323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.47/6.09 % (2052323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.47/6.09 % (2052323)CaDiCaL version: 2.1.3
% 38.47/6.09 % (2052323)Termination reason: Instruction limit
% 38.47/6.09 % (2052323)Termination phase: Saturation
% 38.47/6.09 % (2052323)Time elapsed: 0.042 s
% 38.47/6.09 % (2052323)Peak memory usage: 91 MB
% 38.47/6.09 % (2052323)Instructions burned: 135 (million)
% 38.47/6.09 % (2052325)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2456640542:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/141Mi)
% 38.47/6.09 % (2052325)Refutation not found, incomplete strategy
% 38.47/6.09 % (2052325)------------------------------
% 38.47/6.09 % (2052325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.47/6.09 % (2052325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.47/6.09 % (2052325)CaDiCaL version: 2.1.3
% 38.47/6.09 % (2052325)Termination reason: Refutation not found, incomplete strategy
% 38.47/6.09 % (2052325)Time elapsed: 0.002 s
% 38.47/6.09 % (2052325)Peak memory usage: 89 MB
% 38.47/6.09 % (2052325)Instructions burned: 6 (million)
% 38.47/6.09 % (2052327)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4292061274:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/431Mi)
% 38.47/6.09 % (2052327)Refutation not found, incomplete strategy
% 38.47/6.09 % (2052327)------------------------------
% 38.47/6.09 % (2052327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.47/6.09 % (2052327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.47/6.09 % (2052327)CaDiCaL version: 2.1.3
% 38.47/6.09 % (2052327)Termination reason: Refutation not found, incomplete strategy
% 38.47/6.09 % (2052327)Time elapsed: 0.004 s
% 38.47/6.09 % (2052327)Peak memory usage: 88 MB
% 38.47/6.09 % (2052327)Instructions burned: 10 (million)
% 38.47/6.09 % (2052325)------------------------------
% 38.47/6.09 % (2052325)------------------------------
% 38.47/6.09 % (2052327)------------------------------
% 38.47/6.09 % (2052327)------------------------------
% 38.47/6.09 % (2052330)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=2391730106:i=6060:aac=none:ins=25_2982 on theBenchmark for (2982ds/6060Mi)
% 38.47/6.09 % (2052331)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=3987735600:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2982 on theBenchmark for (2982ds/150Mi)
% 38.47/6.09 % (2052331)Instruction limit reached!
% 38.47/6.09 % (2052331)------------------------------
% 57.22/8.77 % (2052331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.22/8.77 % (2052331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.22/8.77 % (2052331)CaDiCaL version: 2.1.3
% 57.22/8.77 % (2052331)Termination reason: Instruction limit
% 57.22/8.77 % (2052331)Termination phase: Saturation
% 57.22/8.77 % (2052331)Time elapsed: 0.042 s
% 57.22/8.77 % (2052331)Peak memory usage: 93 MB
% 57.22/8.77 % (2052331)Instructions burned: 152 (million)
% 57.22/8.77 % (2052334)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=716898146:i=14155:bd=all_2980 on theBenchmark for (2980ds/14155Mi)
% 57.22/8.77 % (2052313)Instruction limit reached!
% 57.22/8.77 % (2052313)------------------------------
% 57.22/8.77 % (2052313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.22/8.77 % (2052313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.22/8.77 % (2052313)CaDiCaL version: 2.1.3
% 57.22/8.77 % (2052313)Termination reason: Instruction limit
% 57.22/8.77 % (2052313)Termination phase: Saturation
% 57.22/8.77 % (2052313)Time elapsed: 1.337 s
% 57.22/8.77 % (2052313)Peak memory usage: 140 MB
% 57.22/8.77 % (2052313)Instructions burned: 5202 (million)
% 57.22/8.77 % (2052336)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3628332398:i=667:av=off:fsr=off_2977 on theBenchmark for (2977ds/667Mi)
% 57.22/8.77 % (2052336)Refutation not found, incomplete strategy
% 57.22/8.77 % (2052336)------------------------------
% 57.22/8.77 % (2052336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.22/8.77 % (2052336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.22/8.77 % (2052336)CaDiCaL version: 2.1.3
% 57.22/8.77 % (2052336)Termination reason: Refutation not found, incomplete strategy
% 57.22/8.77 % (2052336)Time elapsed: 0.012 s
% 57.22/8.77 % (2052336)Peak memory usage: 89 MB
% 57.22/8.77 % (2052336)Instructions burned: 46 (million)
% 57.22/8.77 % (2052336)------------------------------
% 57.22/8.77 % (2052336)------------------------------
% 57.22/8.77 % (2052338)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=2475167128:s2a=on:i=185:s2at=1.8:fdi=4_2974 on theBenchmark for (2974ds/185Mi)
% 57.22/8.77 % (2052338)Instruction limit reached!
% 57.22/8.77 % (2052338)------------------------------
% 57.22/8.77 % (2052338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.22/8.77 % (2052338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.22/8.77 % (2052338)CaDiCaL version: 2.1.3
% 57.22/8.77 % (2052338)Termination reason: Instruction limit
% 57.22/8.77 % (2052338)Termination phase: Saturation
% 57.22/8.77 % (2052338)Time elapsed: 0.052 s
% 57.22/8.77 % (2052338)Peak memory usage: 93 MB
% 57.22/8.77 % (2052338)Instructions burned: 187 (million)
% 57.22/8.77 % (2052340)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2763716802:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2972 on theBenchmark for (2972ds/193Mi)
% 57.22/8.77 % (2052340)Instruction limit reached!
% 57.22/8.77 % (2052340)------------------------------
% 57.22/8.77 % (2052340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.22/8.77 % (2052340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.22/8.78 % (2052340)CaDiCaL version: 2.1.3
% 57.22/8.78 % (2052340)Termination reason: Instruction limit
% 57.22/8.78 % (2052340)Termination phase: Saturation
% 57.22/8.78 % (2052340)Time elapsed: 0.056 s
% 57.22/8.78 % (2052340)Peak memory usage: 90 MB
% 57.22/8.78 % (2052340)Instructions burned: 196 (million)
% 57.22/8.78 % (2052342)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=180376580:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2970 on theBenchmark for (2970ds/4850Mi)
% 57.22/8.78 % (2052342)Refutation not found, incomplete strategy
% 57.22/8.78 % (2052342)------------------------------
% 57.22/8.78 % (2052342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.22/8.78 % (2052342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.22/8.78 % (2052342)CaDiCaL version: 2.1.3
% 57.22/8.78 % (2052342)Termination reason: Refutation not found, incomplete strategy
% 57.22/8.78 % (2052342)Time elapsed: 0.009 s
% 57.22/8.78 % (2052342)Peak memory usage: 89 MB
% 57.22/8.78 % (2052342)Instructions burned: 33 (million)
% 57.22/8.78 % (2052342)------------------------------
% 77.09/11.50 % (2052342)------------------------------
% 77.09/11.50 % (2052344)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3354578392:i=12111:sd=1:ss=included_2967 on theBenchmark for (2967ds/12111Mi)
% 77.09/11.50 % (2052330)Instruction limit reached!
% 77.09/11.50 % (2052330)------------------------------
% 77.09/11.50 % (2052330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.09/11.50 % (2052330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.09/11.50 % (2052330)CaDiCaL version: 2.1.3
% 77.09/11.50 % (2052330)Termination reason: Instruction limit
% 77.09/11.50 % (2052330)Termination phase: Saturation
% 77.09/11.50 % (2052330)Time elapsed: 1.683 s
% 77.09/11.50 % (2052330)Peak memory usage: 142 MB
% 77.09/11.50 % (2052330)Instructions burned: 6061 (million)
% 77.09/11.50 % (2052346)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=419659979:i=319:kws=precedence:fsr=off_2964 on theBenchmark for (2964ds/319Mi)
% 77.09/11.50 % (2052346)Instruction limit reached!
% 77.09/11.50 % (2052346)------------------------------
% 77.09/11.50 % (2052346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.09/11.50 % (2052346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.09/11.50 % (2052346)CaDiCaL version: 2.1.3
% 77.09/11.50 % (2052346)Termination reason: Instruction limit
% 77.09/11.50 % (2052346)Termination phase: Saturation
% 77.09/11.50 % (2052346)Time elapsed: 0.089 s
% 77.09/11.50 % (2052346)Peak memory usage: 94 MB
% 77.09/11.50 % (2052346)Instructions burned: 320 (million)
% 77.09/11.50 % (2052348)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3691403318:i=2064:ep=RST_2962 on theBenchmark for (2962ds/2064Mi)
% 77.09/11.50 % (2052348)Instruction limit reached!
% 77.09/11.50 % (2052348)------------------------------
% 77.09/11.50 % (2052348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.09/11.50 % (2052348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.09/11.50 % (2052348)CaDiCaL version: 2.1.3
% 77.09/11.50 % (2052348)Termination reason: Instruction limit
% 77.09/11.50 % (2052348)Termination phase: Saturation
% 77.09/11.50 % (2052348)Time elapsed: 0.516 s
% 77.09/11.50 % (2052348)Peak memory usage: 96 MB
% 77.09/11.50 % (2052348)Instructions burned: 2069 (million)
% 77.09/11.50 % (2052350)dis-1011_128_sil=32000:random_seed=531162798:i=3706:ep=RST:av=off_2956 on theBenchmark for (2956ds/3706Mi)
% 77.09/11.50 % (2052350)Instruction limit reached!
% 77.09/11.50 % (2052350)------------------------------
% 77.09/11.50 % (2052350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.09/11.50 % (2052350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.09/11.50 % (2052350)CaDiCaL version: 2.1.3
% 77.09/11.50 % (2052350)Termination reason: Instruction limit
% 77.09/11.50 % (2052350)Termination phase: Saturation
% 77.09/11.50 % (2052350)Time elapsed: 0.669 s
% 77.09/11.50 % (2052350)Peak memory usage: 89 MB
% 77.09/11.50 % (2052350)Instructions burned: 3709 (million)
% 77.09/11.50 % (2052319)Instruction limit reached!
% 77.09/11.50 % (2052319)------------------------------
% 77.09/11.50 % (2052319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.09/11.50 % (2052319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.09/11.50 % (2052319)CaDiCaL version: 2.1.3
% 77.09/11.50 % (2052319)Termination reason: Instruction limit
% 77.09/11.50 % (2052319)Termination phase: Saturation
% 77.09/11.50 % (2052319)Time elapsed: 4.058 s
% 77.09/11.50 % (2052319)Peak memory usage: 175 MB
% 77.09/11.50 % (2052319)Instructions burned: 13196 (million)
% 77.09/11.50 % (2052352)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1872572013:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2948 on theBenchmark for (2948ds/757Mi)
% 77.09/11.50 % (2052353)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2531987204:i=13913:ss=axioms:sgt=8_2947 on theBenchmark for (2947ds/13913Mi)
% 77.09/11.50 % (2052352)Instruction limit reached!
% 77.09/11.50 % (2052352)------------------------------
% 77.09/11.50 % (2052352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 77.09/11.50 % (2052352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 77.09/11.50 % (2052352)CaDiCaL version: 2.1.3
% 77.09/11.50 % (2052352)Termination reason: Instruction limit
% 77.09/11.50 % (2052352)Termination phase: Saturation
% 77.09/11.50 % (2052352)Time elapsed: 0.216 s
% 77.09/11.50 % (2052352)Peak memory usage: 94 MB
% 83.11/12.43 % (2052352)Instructions burned: 759 (million)
% 83.11/12.43 % (2052356)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3878023787:i=9925:aac=none_2944 on theBenchmark for (2944ds/9925Mi)
% 83.11/12.43 % (2052334)Instruction limit reached!
% 83.11/12.43 % (2052334)------------------------------
% 83.11/12.43 % (2052334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.11/12.43 % (2052334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.11/12.43 % (2052334)CaDiCaL version: 2.1.3
% 83.11/12.43 % (2052334)Termination reason: Instruction limit
% 83.11/12.43 % (2052334)Termination phase: Saturation
% 83.11/12.43 % (2052334)Time elapsed: 3.704 s
% 83.11/12.43 % (2052334)Peak memory usage: 155 MB
% 83.11/12.43 % (2052334)Instructions burned: 14160 (million)
% 83.11/12.43 % (2052358)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=10999257:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2941 on theBenchmark for (2941ds/2479Mi)
% 83.11/12.43 % (2052358)Instruction limit reached!
% 83.11/12.43 % (2052358)------------------------------
% 83.11/12.43 % (2052358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.11/12.43 % (2052358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.11/12.43 % (2052358)CaDiCaL version: 2.1.3
% 83.11/12.43 % (2052358)Termination reason: Instruction limit
% 83.11/12.43 % (2052358)Termination phase: Saturation
% 83.11/12.43 % (2052358)Time elapsed: 0.711 s
% 83.11/12.43 % (2052358)Peak memory usage: 103 MB
% 83.11/12.43 % (2052358)Instructions burned: 2481 (million)
% 83.11/12.43 % (2052360)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1446255544:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2933 on theBenchmark for (2933ds/440Mi)
% 83.11/12.43 % (2052344)Instruction limit reached!
% 83.11/12.43 % (2052344)------------------------------
% 83.11/12.43 % (2052344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.11/12.43 % (2052344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.11/12.43 % (2052344)CaDiCaL version: 2.1.3
% 83.11/12.43 % (2052344)Termination reason: Instruction limit
% 83.11/12.43 % (2052344)Termination phase: Saturation
% 83.11/12.43 % (2052344)Time elapsed: 3.488 s
% 83.11/12.43 % (2052344)Peak memory usage: 232 MB
% 83.11/12.43 % (2052344)Instructions burned: 12112 (million)
% 83.11/12.43 % (2052360)Instruction limit reached!
% 83.11/12.43 % (2052360)------------------------------
% 83.11/12.43 % (2052360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.11/12.43 % (2052360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.11/12.43 % (2052360)CaDiCaL version: 2.1.3
% 83.11/12.43 % (2052360)Termination reason: Instruction limit
% 83.11/12.43 % (2052360)Termination phase: Saturation
% 83.11/12.43 % (2052360)Time elapsed: 0.117 s
% 83.11/12.43 % (2052360)Peak memory usage: 91 MB
% 83.11/12.43 % (2052360)Instructions burned: 441 (million)
% 83.11/12.43 % (2052362)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1834066581:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2931 on theBenchmark for (2931ds/11145Mi)
% 83.11/12.43 % (2052363)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=204393480:cts=off:i=3034:av=off:er=known:fsd=on_2930 on theBenchmark for (2930ds/3034Mi)
% 83.11/12.43 % (2052363)Instruction limit reached!
% 83.11/12.43 % (2052363)------------------------------
% 83.11/12.43 % (2052363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.11/12.43 % (2052363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.11/12.43 % (2052363)CaDiCaL version: 2.1.3
% 83.11/12.43 % (2052363)Termination reason: Instruction limit
% 83.11/12.43 % (2052363)Termination phase: Saturation
% 83.11/12.43 % (2052363)Time elapsed: 0.916 s
% 83.11/12.43 % (2052363)Peak memory usage: 136 MB
% 83.11/12.43 % (2052363)Instructions burned: 3037 (million)
% 83.11/12.43 % (2052366)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1588469505:st=2:s2a=on:i=524:s2at=2:ss=axioms_2920 on theBenchmark for (2920ds/524Mi)
% 83.11/12.43 % (2052366)Instruction limit reached!
% 83.11/12.43 % (2052366)------------------------------
% 83.11/12.43 % (2052366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.11/12.43 % (2052366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/14.36 % (2052366)CaDiCaL version: 2.1.3
% 96.82/14.36 % (2052366)Termination reason: Instruction limit
% 96.82/14.36 % (2052366)Termination phase: Saturation
% 96.82/14.36 % (2052366)Time elapsed: 0.118 s
% 96.82/14.36 % (2052366)Peak memory usage: 92 MB
% 96.82/14.36 % (2052366)Instructions burned: 526 (million)
% 96.82/14.36 % (2052356)Instruction limit reached!
% 96.82/14.36 % (2052356)------------------------------
% 96.82/14.36 % (2052356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.82/14.36 % (2052356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/14.36 % (2052356)CaDiCaL version: 2.1.3
% 96.82/14.36 % (2052356)Termination reason: Instruction limit
% 96.82/14.36 % (2052356)Termination phase: Saturation
% 96.82/14.36 % (2052356)Time elapsed: 2.664 s
% 96.82/14.36 % (2052356)Peak memory usage: 190 MB
% 96.82/14.36 % (2052356)Instructions burned: 9925 (million)
% 96.82/14.36 % (2052368)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2200460988:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2917 on theBenchmark for (2917ds/1016Mi)
% 96.82/14.36 % (2052369)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3603905814:i=14123:bd=preordered:ins=4_2916 on theBenchmark for (2916ds/14123Mi)
% 96.82/14.36 % (2052368)Refutation not found, incomplete strategy
% 96.82/14.36 % (2052368)------------------------------
% 96.82/14.36 % (2052368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.82/14.36 % (2052368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/14.36 % (2052368)CaDiCaL version: 2.1.3
% 96.82/14.36 % (2052368)Termination reason: Refutation not found, incomplete strategy
% 96.82/14.36 % (2052368)Time elapsed: 0.131 s
% 96.82/14.36 % (2052368)Peak memory usage: 91 MB
% 96.82/14.36 % (2052368)Instructions burned: 486 (million)
% 96.82/14.36 % (2052368)------------------------------
% 96.82/14.36 % (2052368)------------------------------
% 96.82/14.36 % (2052372)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2940874956:i=5781:kws=precedence:bd=all:rawr=on_2913 on theBenchmark for (2913ds/5781Mi)
% 96.82/14.36 % (2052353)Instruction limit reached!
% 96.82/14.36 % (2052353)------------------------------
% 96.82/14.36 % (2052353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.82/14.36 % (2052353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/14.36 % (2052353)CaDiCaL version: 2.1.3
% 96.82/14.36 % (2052353)Termination reason: Instruction limit
% 96.82/14.36 % (2052353)Termination phase: Saturation
% 96.82/14.36 % (2052353)Time elapsed: 3.833 s
% 96.82/14.36 % (2052353)Peak memory usage: 166 MB
% 96.82/14.36 % (2052353)Instructions burned: 13917 (million)
% 96.82/14.36 % (2052374)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=945564001:i=2448:gtgl=5:bd=preordered:gtg=all_2907 on theBenchmark for (2907ds/2448Mi)
% 96.82/14.36 % (2052374)Instruction limit reached!
% 96.82/14.36 % (2052374)------------------------------
% 96.82/14.36 % (2052374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.82/14.36 % (2052374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/14.36 % (2052374)CaDiCaL version: 2.1.3
% 96.82/14.36 % (2052374)Termination reason: Instruction limit
% 96.82/14.36 % (2052374)Termination phase: Saturation
% 96.82/14.36 % (2052374)Time elapsed: 0.740 s
% 96.82/14.36 % (2052374)Peak memory usage: 136 MB
% 96.82/14.36 % (2052374)Instructions burned: 2449 (million)
% 96.82/14.36 % (2052376)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3800313186:i=3223:kws=precedence:fgj=on:av=off_2898 on theBenchmark for (2898ds/3223Mi)
% 96.82/14.36 % (2052372)Instruction limit reached!
% 96.82/14.36 % (2052372)------------------------------
% 96.82/14.36 % (2052372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 96.82/14.36 % (2052372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 96.82/14.36 % (2052372)CaDiCaL version: 2.1.3
% 96.82/14.36 % (2052372)Termination reason: Instruction limit
% 96.82/14.36 % (2052372)Termination phase: Saturation
% 96.82/14.36 % (2052372)Time elapsed: 1.625 s
% 96.82/14.36 % (2052372)Peak memory usage: 129 MB
% 96.82/14.36 % (2052372)Instructions burned: 5784 (million)
% 96.82/14.36 % (2052378)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=548586658:st=5.6:i=2033:sd=3:ss=axioms_2896 on theBenchmark for (2896ds/2033Mi)
% 96.82/14.36 % (2052362)Instruction limit reached!
% 118.31/17.40 % (2052362)------------------------------
% 118.31/17.40 % (2052362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.31/17.40 % (2052362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.31/17.40 % (2052362)CaDiCaL version: 2.1.3
% 118.31/17.40 % (2052362)Termination reason: Instruction limit
% 118.31/17.40 % (2052362)Termination phase: Saturation
% 118.31/17.40 % (2052362)Time elapsed: 3.938 s
% 118.31/17.40 % (2052362)Peak memory usage: 185 MB
% 118.31/17.40 % (2052362)Instructions burned: 11146 (million)
% 118.31/17.40 % (2052380)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=987881608:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2890 on theBenchmark for (2890ds/2055Mi)
% 118.31/17.40 % (2052378)Instruction limit reached!
% 118.31/17.40 % (2052378)------------------------------
% 118.31/17.40 % (2052378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.31/17.40 % (2052378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.31/17.40 % (2052378)CaDiCaL version: 2.1.3
% 118.31/17.40 % (2052378)Termination reason: Instruction limit
% 118.31/17.40 % (2052378)Termination phase: Saturation
% 118.31/17.40 % (2052378)Time elapsed: 0.626 s
% 118.31/17.40 % (2052378)Peak memory usage: 134 MB
% 118.31/17.40 % (2052378)Instructions burned: 2038 (million)
% 118.31/17.40 % (2052382)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=891341335:i=21611:sd=3:ss=axioms_2888 on theBenchmark for (2888ds/21611Mi)
% 118.31/17.40 % (2052376)Instruction limit reached!
% 118.31/17.40 % (2052376)------------------------------
% 118.31/17.40 % (2052376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.31/17.40 % (2052376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.31/17.40 % (2052376)CaDiCaL version: 2.1.3
% 118.31/17.40 % (2052376)Termination reason: Instruction limit
% 118.31/17.40 % (2052376)Termination phase: Saturation
% 118.31/17.40 % (2052376)Time elapsed: 1.134 s
% 118.31/17.40 % (2052376)Peak memory usage: 143 MB
% 118.31/17.40 % (2052376)Instructions burned: 3225 (million)
% 118.31/17.40 % (2052384)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3740821671:i=4835:sd=13:ss=axioms:sgt=23_2886 on theBenchmark for (2886ds/4835Mi)
% 118.31/17.40 % (2052369)Instruction limit reached!
% 118.31/17.40 % (2052369)------------------------------
% 118.31/17.40 % (2052369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.31/17.40 % (2052369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.31/17.40 % (2052369)CaDiCaL version: 2.1.3
% 118.31/17.40 % (2052369)Termination reason: Instruction limit
% 118.31/17.40 % (2052369)Termination phase: Saturation
% 118.31/17.40 % (2052369)Time elapsed: 3.109 s
% 118.31/17.40 % (2052369)Peak memory usage: 144 MB
% 118.31/17.40 % (2052369)Instructions burned: 14127 (million)
% 118.31/17.40 % (2052386)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=3656472722:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2884 on theBenchmark for (2884ds/797Mi)
% 118.31/17.40 % (2052380)Instruction limit reached!
% 118.31/17.40 % (2052380)------------------------------
% 118.31/17.40 % (2052380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.31/17.40 % (2052380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.31/17.40 % (2052380)CaDiCaL version: 2.1.3
% 118.31/17.40 % (2052380)Termination reason: Instruction limit
% 118.31/17.40 % (2052380)Termination phase: Saturation
% 118.31/17.40 % (2052380)Time elapsed: 0.642 s
% 118.31/17.40 % (2052380)Peak memory usage: 133 MB
% 118.31/17.40 % (2052380)Instructions burned: 2056 (million)
% 118.31/17.40 % (2052386)Instruction limit reached!
% 118.31/17.40 % (2052386)------------------------------
% 118.31/17.40 % (2052386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 118.31/17.40 % (2052386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.31/17.40 % (2052386)CaDiCaL version: 2.1.3
% 118.31/17.40 % (2052386)Termination reason: Instruction limit
% 118.31/17.40 % (2052386)Termination phase: Saturation
% 118.31/17.40 % (2052386)Time elapsed: 0.154 s
% 118.31/17.40 % (2052386)Peak memory usage: 89 MB
% 118.31/17.40 % (2052386)Instructions burned: 802 (million)
% 118.31/17.40 % (2052388)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1307913433:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2882 on theBenchmark for (2882ds/2326Mi)
% 69.46/20.92 % (2052389)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=407179120:i=6038:nm=6_2881 on theBenchmark for (2881ds/6038Mi)
% 69.46/20.92 % (2052389)Refutation not found, incomplete strategy
% 69.46/20.92 % (2052389)------------------------------
% 69.46/20.92 % (2052389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052389)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052389)Termination reason: Refutation not found, incomplete strategy
% 69.46/20.92 % (2052389)Time elapsed: 0.341 s
% 69.46/20.92 % (2052389)Peak memory usage: 134 MB
% 69.46/20.92 % (2052389)Instructions burned: 951 (million)
% 69.46/20.92 % (2052388)Instruction limit reached!
% 69.46/20.92 % (2052388)------------------------------
% 69.46/20.92 % (2052388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052388)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052388)Termination reason: Instruction limit
% 69.46/20.92 % (2052388)Termination phase: Saturation
% 69.46/20.92 % (2052388)Time elapsed: 0.492 s
% 69.46/20.92 % (2052388)Peak memory usage: 92 MB
% 69.46/20.92 % (2052388)Instructions burned: 2328 (million)
% 69.46/20.92 % (2052389)------------------------------
% 69.46/20.92 % (2052389)------------------------------
% 69.46/20.92 % (2052392)lrs+10_1_sil=32000:sp=occurrence:random_seed=3271821024:st=2:i=33334:sd=3:ss=included:sgt=32_2876 on theBenchmark for (2876ds/33334Mi)
% 69.46/20.92 % (2052393)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=2737955852:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2875 on theBenchmark for (2875ds/1008Mi)
% 69.46/20.92 % (2052384)Instruction limit reached!
% 69.46/20.92 % (2052384)------------------------------
% 69.46/20.92 % (2052384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052384)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052384)Termination reason: Instruction limit
% 69.46/20.92 % (2052384)Termination phase: Saturation
% 69.46/20.92 % (2052384)Time elapsed: 1.159 s
% 69.46/20.92 % (2052384)Peak memory usage: 109 MB
% 69.46/20.92 % (2052384)Instructions burned: 4836 (million)
% 69.46/20.92 % (2052396)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=3178931194:i=8327:s2at=5:bd=preordered_2873 on theBenchmark for (2873ds/8327Mi)
% 69.46/20.92 % (2052393)Instruction limit reached!
% 69.46/20.92 % (2052393)------------------------------
% 69.46/20.92 % (2052393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052393)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052393)Termination reason: Instruction limit
% 69.46/20.92 % (2052393)Termination phase: Saturation
% 69.46/20.92 % (2052393)Time elapsed: 0.297 s
% 69.46/20.92 % (2052393)Peak memory usage: 130 MB
% 69.46/20.92 % (2052393)Instructions burned: 1010 (million)
% 69.46/20.92 % (2052398)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=3980536697:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2870 on theBenchmark for (2870ds/1083Mi)
% 69.46/20.92 % (2052398)Instruction limit reached!
% 69.46/20.92 % (2052398)------------------------------
% 69.46/20.92 % (2052398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052398)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052398)Termination reason: Instruction limit
% 69.46/20.92 % (2052398)Termination phase: Saturation
% 69.46/20.92 % (2052398)Time elapsed: 0.276 s
% 69.46/20.92 % (2052398)Peak memory usage: 110 MB
% 69.46/20.92 % (2052398)Instructions burned: 1084 (million)
% 69.46/20.92 % (2052400)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=4010803831:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2866 on theBenchmark for (2866ds/1084Mi)
% 69.46/20.92 % (2052400)Instruction limit reached!
% 69.46/20.92 % (2052400)------------------------------
% 69.46/20.92 % (2052400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052400)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052400)Termination reason: Instruction limit
% 69.46/20.92 % (2052400)Termination phase: Saturation
% 69.46/20.92 % (2052400)Time elapsed: 0.348 s
% 69.46/20.92 % (2052400)Peak memory usage: 97 MB
% 69.46/20.92 % (2052400)Instructions burned: 1085 (million)
% 69.46/20.92 % (2052402)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=4029622489:i=6995:s2at=5:gtg=all_2862 on theBenchmark for (2862ds/6995Mi)
% 69.46/20.92 % (2052396)Instruction limit reached!
% 69.46/20.92 % (2052396)------------------------------
% 69.46/20.92 % (2052396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052396)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052396)Termination reason: Instruction limit
% 69.46/20.92 % (2052396)Termination phase: Saturation
% 69.46/20.92 % (2052396)Time elapsed: 2.482 s
% 69.46/20.92 % (2052396)Peak memory usage: 156 MB
% 69.46/20.92 % (2052396)Instructions burned: 8332 (million)
% 69.46/20.92 % (2052404)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=374076092:st=2:i=6225:sd=15:ss=axioms_2847 on theBenchmark for (2847ds/6225Mi)
% 69.46/20.92 % (2052404)Refutation not found, incomplete strategy
% 69.46/20.92 % (2052404)------------------------------
% 69.46/20.92 % (2052404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052404)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052404)Termination reason: Refutation not found, incomplete strategy
% 69.46/20.92 % (2052404)Time elapsed: 0.012 s
% 69.46/20.92 % (2052404)Peak memory usage: 90 MB
% 69.46/20.92 % (2052404)Instructions burned: 41 (million)
% 69.46/20.92 % (2052404)------------------------------
% 69.46/20.92 % (2052404)------------------------------
% 69.46/20.92 % (2052406)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=1875354420:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2844 on theBenchmark for (2844ds/3372Mi)
% 69.46/20.92 % (2052402)Instruction limit reached!
% 69.46/20.92 % (2052402)------------------------------
% 69.46/20.92 % (2052402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052402)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052402)Termination reason: Instruction limit
% 69.46/20.92 % (2052402)Termination phase: Saturation
% 69.46/20.92 % (2052402)Time elapsed: 1.857 s
% 69.46/20.92 % (2052402)Peak memory usage: 144 MB
% 69.46/20.92 % (2052402)Instructions burned: 6996 (million)
% 69.46/20.92 % (2052408)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=3453380837:st=2.3:i=26457:sd=10:ss=included:sgt=8_2842 on theBenchmark for (2842ds/26457Mi)
% 69.46/20.92 % (2052406)Refutation not found, incomplete strategy
% 69.46/20.92 % (2052406)------------------------------
% 69.46/20.92 % (2052406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052406)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052406)Termination reason: Refutation not found, incomplete strategy
% 69.46/20.92 % (2052406)Time elapsed: 0.573 s
% 69.46/20.92 % (2052406)Peak memory usage: 132 MB
% 69.46/20.92 % (2052406)Instructions burned: 1664 (million)
% 69.46/20.92 % (2052406)------------------------------
% 69.46/20.92 % (2052406)------------------------------
% 69.46/20.92 % (2052410)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=1955360436:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2835 on theBenchmark for (2835ds/13494Mi)
% 69.46/20.92 % (2052382)Instruction limit reached!
% 69.46/20.92 % (2052382)------------------------------
% 69.46/20.92 % (2052382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052382)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052382)Termination reason: Instruction limit
% 69.46/20.92 % (2052382)Termination phase: Saturation
% 69.46/20.92 % (2052382)Time elapsed: 5.551 s
% 69.46/20.92 % (2052382)Peak memory usage: 165 MB
% 69.46/20.92 % (2052382)Instructions burned: 21612 (million)
% 69.46/20.92 % (2052412)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=4050165880:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2831 on theBenchmark for (2831ds/2503Mi)
% 69.46/20.92 % (2052412)Instruction limit reached!
% 69.46/20.92 % (2052412)------------------------------
% 69.46/20.92 % (2052412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052412)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052412)Termination reason: Instruction limit
% 69.46/20.92 % (2052412)Termination phase: Saturation
% 69.46/20.92 % (2052412)Time elapsed: 0.800 s
% 69.46/20.92 % (2052412)Peak memory usage: 139 MB
% 69.46/20.92 % (2052412)Instructions burned: 2505 (million)
% 69.46/20.92 % (2052414)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=2819313194:i=2559:sd=1:ep=RSTC:ss=axioms_2822 on theBenchmark for (2822ds/2559Mi)
% 69.46/20.92 % (2052414)Refutation not found, incomplete strategy
% 69.46/20.92 % (2052414)------------------------------
% 69.46/20.92 % (2052414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.46/20.92 % (2052414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.46/20.92 % (2052414)CaDiCaL version: 2.1.3
% 69.46/20.92 % (2052414)Termination reason: Refutation not found, incomplete strategy
% 69.46/20.92 % (2052414)Time elapsed: 0.321 s
% 69.46/20.92 % (2052414)Peak memory usage: 128 MB
% 69.46/20.92 % (2052414)Instructions burned: 868 (million)
% 69.46/20.92 % (2052414)------------------------------
% 69.46/20.92 % (2052414)------------------------------
% 69.46/20.92 % (2052416)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=4232726577:i=30753:av=off:ss=included_2816 on theBenchmark for (2816ds/30753Mi)
% 69.46/20.92 % (2052410)First to succeed.
% 69.46/20.92 % (2052410)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2052273"
% 69.46/20.92 % (2052410)Refutation found. Thanks to Tanya!
% 69.46/20.92 % SZS status Theorem for theBenchmark
% 69.46/20.92 % SZS output start Proof for theBenchmark
% See solution above
% 143.56/21.02 % (2052410)------------------------------
% 143.56/21.02 % (2052410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.56/21.02 % (2052410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.56/21.02 % (2052410)CaDiCaL version: 2.1.3
% 143.56/21.02 % (2052410)Termination reason: Refutation
% 143.56/21.02 % (2052410)Time elapsed: 3.570 s
% 143.56/21.02 % (2052410)Peak memory usage: 196 MB
% 143.56/21.02 % (2052410)Instructions burned: 10680 (million)
% 143.56/21.02 % (2052410)------------------------------
% 143.56/21.02 % (2052410)------------------------------
% 143.56/21.02 % (2052273)Success in time 20.351 s
% 143.56/21.02 % Vampire exiting
%------------------------------------------------------------------------------