%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO312+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 09:52:25 AM UTC 2026
% Result : Theorem 116.79s 35.35s
% Output : Refutation 245.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 132
% Syntax : Number of formulae : 760 ( 213 unt; 94 def)
% Number of atoms : 4434 ( 924 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 6606 (2932 ~;3359 |; 199 &)
% ( 101 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 102 ( 100 usr; 93 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-3 aty)
% Number of variables : 1277 ( 0 sgn1229 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1288,vd1299,vd1289) = vangle(vd1289,vd1306,vd1288),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(360), 1322, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1288,vd1299,vd1289) != vangle(vd1289,vd1306,vd1288),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
rpoint(vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(352, 0)') ).
fof(f7,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f9,axiom,
vangle(vd1287,vd1299,vd1289) = vangle(vd1287,vd1306,vd1288),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(359)), 1319, 0)') ).
fof(f12,axiom,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(352), 1308, 0)') ).
fof(f14,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(356)))') ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f20,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f23,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f26,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f30,axiom,
! [X0,X1,X2,X3] :
( ( rR(X2,X1,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f31,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f35,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(355)), 1313, 0)') ).
fof(f36,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(355), 1312, 0)') ).
fof(f37,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f38,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f40,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(354))), 0)') ).
fof(f42,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(354), 0)') ).
fof(f43,axiom,
vd1299 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(353))), 1311, 0)') ).
fof(f44,axiom,
vd1306 != vd1302,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)') ).
fof(f45,axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(353)), 1309, 0)') ).
fof(f47,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f48,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f54,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f55,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f71,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f74,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f79,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f91,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f92,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( rR(X2,X0,X1)
& ( ron(X1,X5)
| rinside(X1,X5) )
& ( ron(X0,X5)
| rinside(X0,X5) )
& X5 = X6
& rcircle(X6)
& X3 = X4
& rline(X4)
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) )
& ? [X9] :
( X0 = X9
& rpoint(X9) ) )
=> rinside(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f93,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X1 != X2
& ron(X2,X5)
& ron(X1,X5)
& rinside(X0,X5)
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& X5 = X6
& rcircle(X6)
& X3 = X4
& rline(X4)
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) )
& ? [X9] :
( X0 = X9
& rpoint(X9) ) )
=> rR(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f108,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f142,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f144,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f154,plain,
vangle(vd1288,vd1299,vd1289) != vangle(vd1289,vd1306,vd1288),
inference(flattening,[],[f2]) ).
fof(f161,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,[],[f17]) ).
fof(f162,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,[],[f161]) ).
fof(f169,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,[],[f30]) ).
fof(f170,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,[],[f169]) ).
fof(f171,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,[],[f31]) ).
fof(f172,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,[],[f171]) ).
fof(f173,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,[],[f32]) ).
fof(f174,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,[],[f173]) ).
fof(f183,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,[],[f53]) ).
fof(f184,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,[],[f183]) ).
fof(f185,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,[],[f54]) ).
fof(f186,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,[],[f185]) ).
fof(f187,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,[],[f55]) ).
fof(f188,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,[],[f187]) ).
fof(f219,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,[],[f74]) ).
fof(f220,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,[],[f219]) ).
fof(f229,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,[],[f79]) ).
fof(f230,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,[],[f229]) ).
fof(f252,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,[],[f91]) ).
fof(f253,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,[],[f252]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ~ rR(X2,X0,X1)
| ( ~ ron(X1,X5)
& ~ rinside(X1,X5) )
| ( ~ ron(X0,X5)
& ~ rinside(X0,X5) )
| 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,[],[f92]) ).
fof(f255,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rinside(X2,X5)
| ~ rR(X2,X0,X1)
| ( ~ ron(X1,X5)
& ~ rinside(X1,X5) )
| ( ~ ron(X0,X5)
& ~ rinside(X0,X5) )
| 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,[],[f254]) ).
fof(f256,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,[],[f93]) ).
fof(f257,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,[],[f256]) ).
fof(f286,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f108]) ).
fof(f349,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,[],[f142]) ).
fof(f350,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,[],[f349]) ).
fof(f353,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f144]) ).
fof(f354,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,[],[f353]) ).
fof(f371,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)],[f7]) ).
fof(f377,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,[],[f184]) ).
fof(f378,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,[],[f377]) ).
fof(f379,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,[],[f186]) ).
fof(f380,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,[],[f188]) ).
fof(f388,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,[],[f220]) ).
fof(f389,plain,
! [X0,X1] :
( ( ron(X1,sK9(X0,X1))
& ron(X0,sK9(X0,X1))
& rline(sK9(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f388]) ).
fof(f390,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,[],[f230]) ).
fof(f391,plain,
! [X0,X1] :
( ( ron(X1,sK10(X0,X1))
& rcenter(X0,sK10(X0,X1))
& rcircle(sK10(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f390]) ).
fof(f447,plain,
vangle(vd1288,vd1299,vd1289) != vangle(vd1289,vd1306,vd1288),
inference(cnf_transformation,[],[f154]) ).
fof(f451,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f6]) ).
fof(f452,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f371]) ).
fof(f453,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f371]) ).
fof(f454,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f371]) ).
fof(f455,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f371]) ).
fof(f456,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f371]) ).
fof(f457,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f371]) ).
fof(f460,plain,
vd1288 != vd1289,
inference(cnf_transformation,[],[f371]) ).
fof(f461,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f371]) ).
fof(f463,plain,
vangle(vd1287,vd1299,vd1289) = vangle(vd1287,vd1306,vd1288),
inference(cnf_transformation,[],[f9]) ).
fof(f466,plain,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
inference(cnf_transformation,[],[f12]) ).
fof(f468,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[],[f14]) ).
fof(f471,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,[],[f162]) ).
fof(f474,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f20]) ).
fof(f475,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f20]) ).
fof(f477,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f20]) ).
fof(f480,plain,
rline(vd1297),
inference(cnf_transformation,[],[f23]) ).
fof(f483,plain,
rline(vd1295),
inference(cnf_transformation,[],[f26]) ).
fof(f487,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,[],[f170]) ).
fof(f488,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,[],[f172]) ).
fof(f489,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,[],[f174]) ).
fof(f490,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,[],[f174]) ).
fof(f491,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,[],[f174]) ).
fof(f495,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f35]) ).
fof(f496,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f36]) ).
fof(f497,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f37]) ).
fof(f498,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f38]) ).
fof(f500,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f40]) ).
fof(f502,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f42]) ).
fof(f503,plain,
vd1299 != vd1287,
inference(cnf_transformation,[],[f43]) ).
fof(f504,plain,
vd1306 != vd1302,
inference(cnf_transformation,[],[f44]) ).
fof(f505,plain,
vd1306 != vd1287,
inference(cnf_transformation,[],[f45]) ).
fof(f507,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f47]) ).
fof(f508,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f48]) ).
fof(f524,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,[],[f378]) ).
fof(f525,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,[],[f378]) ).
fof(f527,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,[],[f379]) ).
fof(f528,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,[],[f379]) ).
fof(f529,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,[],[f380]) ).
fof(f548,plain,
v0 = vd684,
inference(cnf_transformation,[],[f71]) ).
fof(f554,plain,
! [X3,X0,X1,X4] :
( rline(sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f389]) ).
fof(f555,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f389]) ).
fof(f556,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f389]) ).
fof(f561,plain,
! [X3,X0,X1,X4] :
( rcircle(sK10(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f391]) ).
fof(f562,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK10(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f391]) ).
fof(f563,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK10(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f391]) ).
fof(f583,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,[],[f253]) ).
fof(f587,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rinside(X2,X5)
| ~ rR(X2,X0,X1)
| ~ rinside(X1,X5)
| ~ rinside(X0,X5)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f255]) ).
fof(f591,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,[],[f257]) ).
fof(f606,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f286]) ).
fof(f713,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,[],[f350]) ).
fof(f730,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,[],[f354]) ).
fof(f743,plain,
vangle(sK2,vd1300,sK1) != vangle(sK1,vd1306,sK2),
inference(definition_unfolding,[],[f447,f455,f507,f457,f457,f455]) ).
fof(f747,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f461,f453,f455,f453,f457]) ).
fof(f748,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f460,f455,f457]) ).
fof(f751,plain,
vangle(sK3,vd1300,sK1) = vangle(sK3,vd1306,sK2),
inference(definition_unfolding,[],[f463,f453,f507,f457,f453,f455]) ).
fof(f754,plain,
vf(sK3,vd1300) = vf(sK3,vd1306),
inference(definition_unfolding,[],[f466,f453,f507,f453]) ).
fof(f756,plain,
~ rR(sK3,sK1,vd1306),
inference(definition_unfolding,[],[f468,f453,f457]) ).
fof(f762,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f474,f455,f453,f507]) ).
fof(f769,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f495,f457,f453]) ).
fof(f770,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f496,f455,f453]) ).
fof(f771,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f497,f457]) ).
fof(f772,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f498,f455]) ).
fof(f773,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f500,f453]) ).
fof(f775,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f502,f453]) ).
fof(f776,plain,
vd1300 != sK3,
inference(definition_unfolding,[],[f503,f507,f453]) ).
fof(f777,plain,
vd1306 != vd1303,
inference(definition_unfolding,[],[f504,f477]) ).
fof(f778,plain,
vd1306 != sK3,
inference(definition_unfolding,[],[f505,f453]) ).
fof(f780,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,[],[f525,f548]) ).
fof(f781,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,[],[f524,f548]) ).
fof(f790,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,[],[f471]) ).
fof(f791,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,[],[f790]) ).
fof(f792,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,[],[f791]) ).
fof(f793,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,[],[f792]) ).
fof(f794,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,[],[f793]) ).
fof(f795,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,[],[f794]) ).
fof(f796,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,[],[f795]) ).
fof(f809,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,[],[f487]) ).
fof(f810,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,[],[f809]) ).
fof(f811,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,[],[f810]) ).
fof(f812,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,[],[f811]) ).
fof(f813,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,[],[f488]) ).
fof(f814,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,[],[f813]) ).
fof(f815,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,[],[f814]) ).
fof(f816,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,[],[f815]) ).
fof(f820,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,[],[f491]) ).
fof(f821,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f820]) ).
fof(f822,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f821]) ).
fof(f823,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f822]) ).
fof(f824,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,[],[f490]) ).
fof(f825,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f824]) ).
fof(f826,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f825]) ).
fof(f827,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f826]) ).
fof(f828,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,[],[f489]) ).
fof(f829,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f828]) ).
fof(f830,plain,
! [X3,X4,X5] :
( rR(X4,X3,X5)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f829]) ).
fof(f925,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,[],[f780]) ).
fof(f926,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,[],[f925]) ).
fof(f927,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,[],[f926]) ).
fof(f928,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,[],[f927]) ).
fof(f929,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,[],[f781]) ).
fof(f930,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,[],[f929]) ).
fof(f931,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,[],[f930]) ).
fof(f932,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,[],[f931]) ).
fof(f933,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,[],[f528]) ).
fof(f934,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,[],[f933]) ).
fof(f935,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,[],[f527]) ).
fof(f936,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,[],[f935]) ).
fof(f939,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,[],[f529]) ).
fof(f940,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,[],[f939]) ).
fof(f1006,plain,
! [X3,X0,X4] :
( ron(X3,sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f556]) ).
fof(f1007,plain,
! [X3,X4] :
( ron(X3,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1006]) ).
fof(f1008,plain,
! [X3,X0,X4] :
( ron(X0,sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f555]) ).
fof(f1009,plain,
! [X3,X4] :
( ron(X4,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1008]) ).
fof(f1010,plain,
! [X3,X0,X4] :
( rline(sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f554]) ).
fof(f1011,plain,
! [X3,X4] :
( rline(sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1010]) ).
fof(f1021,plain,
! [X3,X0,X4] :
( ron(X3,sK10(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f563]) ).
fof(f1022,plain,
! [X3,X4] :
( ron(X3,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1021]) ).
fof(f1023,plain,
! [X3,X0,X4] :
( rcenter(X0,sK10(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f562]) ).
fof(f1024,plain,
! [X3,X4] :
( rcenter(X4,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1023]) ).
fof(f1025,plain,
! [X3,X0,X4] :
( rcircle(sK10(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f561]) ).
fof(f1026,plain,
! [X3,X4] :
( rcircle(sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1025]) ).
fof(f1089,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,[],[f583]) ).
fof(f1090,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,[],[f1089]) ).
fof(f1091,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,[],[f1090]) ).
fof(f1092,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,[],[f1091]) ).
fof(f1108,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4] :
( rinside(X2,X6)
| ~ rR(X2,X0,X1)
| ~ rinside(X1,X6)
| ~ rinside(X0,X6)
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f587]) ).
fof(f1109,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( rinside(X2,X6)
| ~ rR(X2,X0,X1)
| ~ rinside(X1,X6)
| ~ rinside(X0,X6)
| ~ rcircle(X6)
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1108]) ).
fof(f1110,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( rinside(X7,X6)
| ~ rR(X7,X0,X1)
| ~ rinside(X1,X6)
| ~ rinside(X0,X6)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1109]) ).
fof(f1111,plain,
! [X0,X8,X6,X9,X7,X4] :
( rinside(X7,X6)
| ~ rR(X7,X0,X8)
| ~ rinside(X8,X6)
| ~ rinside(X0,X6)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1110]) ).
fof(f1112,plain,
! [X8,X6,X9,X7,X4] :
( rinside(X7,X6)
| ~ rR(X7,X9,X8)
| ~ rinside(X8,X6)
| ~ rinside(X9,X6)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1111]) ).
fof(f1113,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,[],[f591]) ).
fof(f1114,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,[],[f1113]) ).
fof(f1115,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,[],[f1114]) ).
fof(f1116,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,[],[f1115]) ).
fof(f1117,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,[],[f1116]) ).
fof(f1465,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,[],[f713]) ).
fof(f1466,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,[],[f1465]) ).
fof(f1467,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,[],[f1466]) ).
fof(f1502,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,[],[f730]) ).
fof(f1503,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,[],[f1502]) ).
fof(f1558,definition,
sF52 = vangle(sK2,vd1300,sK1),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1559,plain,
vangle(sK2,vd1300,sK1) = sF52,
inference(reorient_equations,[],[f1558]) ).
fof(f1560,definition,
sF53 = vangle(sK1,vd1306,sK2),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1561,plain,
vangle(sK1,vd1306,sK2) = sF53,
inference(reorient_equations,[],[f1560]) ).
fof(f1562,plain,
sF52 != sF53,
inference(definition_folding,[],[f743,f1561,f1559]) ).
fof(f1564,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f1565,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f823]) ).
fof(f1569,definition,
( spl54_1
<=> rpoint(sK1) ),
introduced(definition,[new_symbols(definition,[spl54_1])],[avatar_definition]) ).
fof(f1571,plain,
( rpoint(sK1)
| ~ spl54_1 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f1572,plain,
spl54_1,
inference(avatar_split_clause,[],[f456,f1569]) ).
fof(f1574,definition,
( spl54_2
<=> rpoint(sK2) ),
introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).
fof(f1576,plain,
( rpoint(sK2)
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1577,plain,
spl54_2,
inference(avatar_split_clause,[],[f454,f1574]) ).
fof(f1579,definition,
( spl54_3
<=> rpoint(sK3) ),
introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).
fof(f1581,plain,
( rpoint(sK3)
| ~ spl54_3 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1582,plain,
spl54_3,
inference(avatar_split_clause,[],[f452,f1579]) ).
fof(f1584,definition,
( spl54_4
<=> vangle(sK2,vd1300,sK1) = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_4])],[avatar_definition]) ).
fof(f1586,plain,
( vangle(sK2,vd1300,sK1) = sF52
| ~ spl54_4 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f1587,plain,
spl54_4,
inference(avatar_split_clause,[],[f1559,f1584]) ).
fof(f1589,definition,
( spl54_5
<=> vangle(sK1,vd1306,sK2) = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).
fof(f1591,plain,
( vangle(sK1,vd1306,sK2) = sF53
| ~ spl54_5 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1592,plain,
spl54_5,
inference(avatar_split_clause,[],[f1561,f1589]) ).
fof(f1594,definition,
( spl54_6
<=> sF52 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).
fof(f1596,plain,
( sF52 != sF53
| spl54_6 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1597,plain,
~ spl54_6,
inference(avatar_split_clause,[],[f1562,f1594]) ).
fof(f1604,definition,
( spl54_8
<=> ! [X4,X5,X3] :
( rR(X4,X3,X5)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_8])],[avatar_definition]) ).
fof(f1605,plain,
( ! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) )
| ~ spl54_8 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1606,plain,
spl54_8,
inference(avatar_split_clause,[],[f830,f1604]) ).
fof(f1608,definition,
( spl54_9
<=> rR(sK3,sK1,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_9])],[avatar_definition]) ).
fof(f1611,plain,
~ spl54_9,
inference(avatar_split_clause,[],[f756,f1608]) ).
fof(f1613,definition,
( spl54_10
<=> rR(sK2,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_10])],[avatar_definition]) ).
fof(f1615,plain,
( rR(sK2,sK3,vd1300)
| ~ spl54_10 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1616,plain,
spl54_10,
inference(avatar_split_clause,[],[f762,f1613]) ).
fof(f1618,definition,
( spl54_11
<=> sK1 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_11])],[avatar_definition]) ).
fof(f1620,plain,
( sK1 != sK2
| spl54_11 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1621,plain,
~ spl54_11,
inference(avatar_split_clause,[],[f748,f1618]) ).
fof(f1628,definition,
( spl54_13
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f1630,plain,
( sK2 != sK3
| spl54_13 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1631,plain,
~ spl54_13,
inference(avatar_split_clause,[],[f770,f1628]) ).
fof(f1633,definition,
( spl54_14
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f1635,plain,
( sK1 != sK3
| spl54_14 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1636,plain,
~ spl54_14,
inference(avatar_split_clause,[],[f769,f1633]) ).
fof(f1642,definition,
( spl54_16
<=> ron(sK2,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_16])],[avatar_definition]) ).
fof(f1644,plain,
( ron(sK2,vd1295)
| ~ spl54_16 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1645,plain,
spl54_16,
inference(avatar_split_clause,[],[f772,f1642]) ).
fof(f1647,definition,
( spl54_17
<=> rline(vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_17])],[avatar_definition]) ).
fof(f1649,plain,
( rline(vd1295)
| ~ spl54_17 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1650,plain,
spl54_17,
inference(avatar_split_clause,[],[f483,f1647]) ).
fof(f1652,definition,
( spl54_18
<=> ron(sK3,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_18])],[avatar_definition]) ).
fof(f1654,plain,
( ron(sK3,vd1295)
| ~ spl54_18 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1655,plain,
spl54_18,
inference(avatar_split_clause,[],[f775,f1652]) ).
fof(f1657,definition,
( spl54_19
<=> ron(sK1,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_19])],[avatar_definition]) ).
fof(f1659,plain,
( ron(sK1,vd1297)
| ~ spl54_19 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1660,plain,
spl54_19,
inference(avatar_split_clause,[],[f771,f1657]) ).
fof(f1666,definition,
( spl54_21
<=> ron(sK3,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f1668,plain,
( ron(sK3,vd1297)
| ~ spl54_21 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f1669,plain,
spl54_21,
inference(avatar_split_clause,[],[f773,f1666]) ).
fof(f1671,definition,
( spl54_22
<=> rline(vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_22])],[avatar_definition]) ).
fof(f1673,plain,
( rline(vd1297)
| ~ spl54_22 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1674,plain,
spl54_22,
inference(avatar_split_clause,[],[f480,f1671]) ).
fof(f1676,definition,
( spl54_23
<=> ! [X5,X3] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ) ),
introduced(definition,[new_symbols(definition,[spl54_23])],[avatar_definition]) ).
fof(f1677,plain,
( ! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) )
| ~ spl54_23 ),
inference(avatar_component_clause,[],[f1676]) ).
fof(f1678,plain,
spl54_23,
inference(avatar_split_clause,[],[f1564,f1676]) ).
fof(f1680,plain,
( ~ rR(sK2,sK2,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_23 ),
inference(unit_resulting_resolution,[],[f1677,f1576,f1571]) ).
fof(f1686,plain,
( ~ rR(sK2,sK2,sK3)
| ~ spl54_2
| ~ spl54_3
| ~ spl54_23 ),
inference(unit_resulting_resolution,[],[f1677,f1576,f1581]) ).
fof(f1689,definition,
( spl54_24
<=> ! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_24])],[avatar_definition]) ).
fof(f1690,plain,
( ! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) )
| ~ spl54_24 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1691,plain,
spl54_24,
inference(avatar_split_clause,[],[f1565,f1689]) ).
fof(f1694,plain,
( ~ rR(sK3,sK1,sK1)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_24 ),
inference(unit_resulting_resolution,[],[f1690,f1581,f1571]) ).
fof(f1702,definition,
( spl54_25
<=> vd1306 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_25])],[avatar_definition]) ).
fof(f1704,plain,
( vd1306 != sK3
| spl54_25 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1705,plain,
~ spl54_25,
inference(avatar_split_clause,[],[f778,f1702]) ).
fof(f1707,definition,
( spl54_26
<=> vd1300 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_26])],[avatar_definition]) ).
fof(f1709,plain,
( vd1300 != sK3
| spl54_26 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1710,plain,
~ spl54_26,
inference(avatar_split_clause,[],[f776,f1707]) ).
fof(f1720,definition,
( spl54_27
<=> ! [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_27])],[avatar_definition]) ).
fof(f1721,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_27 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1722,plain,
spl54_27,
inference(avatar_split_clause,[],[f796,f1720]) ).
fof(f1747,definition,
( spl54_29
<=> ! [X4,X3] :
( rline(sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_29])],[avatar_definition]) ).
fof(f1748,plain,
( ! [X3,X4] :
( rline(sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_29 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1749,plain,
spl54_29,
inference(avatar_split_clause,[],[f1011,f1747]) ).
fof(f1751,definition,
( spl54_30
<=> rpoint(vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_30])],[avatar_definition]) ).
fof(f1753,plain,
( rpoint(vd1306)
| ~ spl54_30 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1754,plain,
spl54_30,
inference(avatar_split_clause,[],[f451,f1751]) ).
fof(f1810,definition,
( spl54_34
<=> ! [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_34])],[avatar_definition]) ).
fof(f1811,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_34 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f1812,plain,
spl54_34,
inference(avatar_split_clause,[],[f932,f1810]) ).
fof(f1843,definition,
( spl54_37
<=> ! [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_37])],[avatar_definition]) ).
fof(f1844,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_37 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1845,plain,
spl54_37,
inference(avatar_split_clause,[],[f812,f1843]) ).
fof(f1850,plain,
( ! [X0,X1] :
( rR(X0,X1,sK1)
| vd684 = vangle(X1,X0,sK1)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK1 = X0
| X0 = X1
| ~ rline(vd1297)
| ~ rpoint(sK1)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_19
| ~ spl54_34 ),
inference(resolution,[],[f1811,f1659]) ).
fof(f1855,plain,
( ! [X0,X1] :
( rR(X0,X1,sK1)
| vd684 = vangle(X1,X0,sK1)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK1 = X0
| X0 = X1
| ~ rpoint(sK1)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_19
| ~ spl54_22
| ~ spl54_34 ),
inference(forward_subsumption_resolution,[],[f1850,f1673]) ).
fof(f1861,plain,
( ! [X0,X1] :
( rR(X0,X1,sK1)
| vd684 = vangle(X1,X0,sK1)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK1 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_1
| ~ spl54_19
| ~ spl54_22
| ~ spl54_34 ),
inference(forward_subsumption_resolution,[],[f1855,f1571]) ).
fof(f1866,definition,
( spl54_38
<=> rpoint(vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_38])],[avatar_definition]) ).
fof(f1868,plain,
( rpoint(vd1300)
| ~ spl54_38 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1869,plain,
spl54_38,
inference(avatar_split_clause,[],[f508,f1866]) ).
fof(f1903,definition,
( spl54_39
<=> vd1306 = vd1303 ),
introduced(definition,[new_symbols(definition,[spl54_39])],[avatar_definition]) ).
fof(f1905,plain,
( vd1306 != vd1303
| spl54_39 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1906,plain,
~ spl54_39,
inference(avatar_split_clause,[],[f777,f1903]) ).
fof(f1912,definition,
( spl54_41
<=> ! [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_41])],[avatar_definition]) ).
fof(f1913,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_41 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1914,plain,
spl54_41,
inference(avatar_split_clause,[],[f816,f1912]) ).
fof(f1979,definition,
( spl54_45
<=> ! [X4,X3] :
( ron(X3,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).
fof(f1980,plain,
( ! [X3,X4] :
( ron(X3,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_45 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f1981,plain,
spl54_45,
inference(avatar_split_clause,[],[f1007,f1979]) ).
fof(f1983,definition,
( spl54_46
<=> ! [X4,X3] :
( ron(X4,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_46])],[avatar_definition]) ).
fof(f1984,plain,
( ! [X3,X4] :
( ron(X4,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_46 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f1985,plain,
spl54_46,
inference(avatar_split_clause,[],[f1009,f1983]) ).
fof(f1987,definition,
( spl54_47
<=> ! [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_47])],[avatar_definition]) ).
fof(f1988,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_47 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1989,plain,
spl54_47,
inference(avatar_split_clause,[],[f928,f1987]) ).
fof(f2000,plain,
( rR(sK2,vd1300,sK3)
| ~ spl54_2
| ~ spl54_3
| ~ spl54_8
| ~ spl54_10
| ~ spl54_38 ),
inference(unit_resulting_resolution,[],[f1605,f1581,f1576,f1868,f1615]) ).
fof(f2023,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,sK9(X1,X0))
| ~ ron(X4,sK9(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK9(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) )
| ~ spl54_27
| ~ spl54_46 ),
inference(resolution,[],[f1984,f1721]) ).
fof(f2024,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,sK9(X1,X0))
| ~ ron(X4,sK9(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK9(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_27
| ~ spl54_46 ),
inference(duplicate_literal_removal,[],[f2023]) ).
fof(f2027,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,sK9(X1,X0))
| ~ ron(X4,sK9(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_27
| ~ spl54_29
| ~ spl54_46 ),
inference(forward_subsumption_resolution,[],[f2024,f1748]) ).
fof(f2040,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK9(X1,X0))
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK9(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2) )
| ~ spl54_34
| ~ spl54_45 ),
inference(resolution,[],[f1980,f1811]) ).
fof(f2045,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK9(X1,X0))
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| X2 = X3
| ~ rline(sK9(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) )
| ~ spl54_34
| ~ spl54_45 ),
inference(duplicate_literal_removal,[],[f2040]) ).
fof(f2048,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK9(X1,X0))
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) )
| ~ spl54_29
| ~ spl54_34
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f2045,f1748]) ).
fof(f2064,definition,
( spl54_49
<=> ! [X4,X3] :
( ron(X3,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_49])],[avatar_definition]) ).
fof(f2065,plain,
( ! [X3,X4] :
( ron(X3,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_49 ),
inference(avatar_component_clause,[],[f2064]) ).
fof(f2066,plain,
spl54_49,
inference(avatar_split_clause,[],[f1022,f2064]) ).
fof(f2070,plain,
( ron(sK1,sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_49 ),
inference(unit_resulting_resolution,[],[f2065,f1581,f1571,f1635]) ).
fof(f2071,plain,
( ron(sK2,sK10(sK3,sK2))
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_49 ),
inference(unit_resulting_resolution,[],[f2065,f1581,f1576,f1630]) ).
fof(f2134,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_10
| ~ spl54_41 ),
inference(resolution,[],[f1913,f1615]) ).
fof(f2139,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_10
| ~ spl54_38
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f2134,f1868]) ).
fof(f2142,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_2
| ~ spl54_10
| ~ spl54_38
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f2139,f1576]) ).
fof(f2145,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0) )
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f2142,f1581]) ).
fof(f2147,definition,
( spl54_53
<=> ! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_53])],[avatar_definition]) ).
fof(f2148,plain,
( ! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) )
| ~ spl54_53 ),
inference(avatar_component_clause,[],[f2147]) ).
fof(f2149,plain,
spl54_53,
inference(avatar_split_clause,[],[f606,f2147]) ).
fof(f2156,definition,
( spl54_55
<=> rpoint(vd1303) ),
introduced(definition,[new_symbols(definition,[spl54_55])],[avatar_definition]) ).
fof(f2158,plain,
( rpoint(vd1303)
| ~ spl54_55 ),
inference(avatar_component_clause,[],[f2156]) ).
fof(f2159,plain,
spl54_55,
inference(avatar_split_clause,[],[f475,f2156]) ).
fof(f2271,definition,
( spl54_57
<=> vf(sK3,sK2) = vf(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_57])],[avatar_definition]) ).
fof(f2273,plain,
( vf(sK3,sK2) = vf(sK3,sK1)
| ~ spl54_57 ),
inference(avatar_component_clause,[],[f2271]) ).
fof(f2274,plain,
spl54_57,
inference(avatar_split_clause,[],[f747,f2271]) ).
fof(f2294,plain,
( ! [X0] :
( ~ rR(vd1300,sK2,X0)
| rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_10
| ~ spl54_37 ),
inference(resolution,[],[f1844,f1615]) ).
fof(f2299,plain,
( ! [X0] :
( ~ rR(vd1300,sK2,X0)
| rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38 ),
inference(forward_subsumption_resolution,[],[f2294,f1868]) ).
fof(f2302,plain,
( ! [X0] :
( ~ rR(vd1300,sK2,X0)
| rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_2
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38 ),
inference(forward_subsumption_resolution,[],[f2299,f1576]) ).
fof(f2305,plain,
( ! [X0] :
( ~ rR(vd1300,sK2,X0)
| rR(sK2,sK3,X0)
| ~ rpoint(X0) )
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38 ),
inference(forward_subsumption_resolution,[],[f2302,f1581]) ).
fof(f2333,definition,
( spl54_60
<=> ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_60])],[avatar_definition]) ).
fof(f2334,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ron(vd1300,X0)
| ~ rline(X0) )
| ~ spl54_60 ),
inference(avatar_component_clause,[],[f2333]) ).
fof(f2335,plain,
( spl54_60
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_41 ),
inference(avatar_split_clause,[],[f2145,f1912,f1866,f1613,f1579,f1574,f2333]) ).
fof(f2337,plain,
( ~ ron(sK2,vd1297)
| ron(vd1300,vd1297)
| ~ rline(vd1297)
| ~ spl54_21
| ~ spl54_60 ),
inference(resolution,[],[f2334,f1668]) ).
fof(f2345,plain,
( ~ ron(sK2,vd1297)
| ron(vd1300,vd1297)
| ~ spl54_21
| ~ spl54_22
| ~ spl54_60 ),
inference(forward_subsumption_resolution,[],[f2337,f1673]) ).
fof(f2355,definition,
( spl54_62
<=> ! [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_62])],[avatar_definition]) ).
fof(f2356,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_62 ),
inference(avatar_component_clause,[],[f2355]) ).
fof(f2357,plain,
spl54_62,
inference(avatar_split_clause,[],[f1117,f2355]) ).
fof(f2388,definition,
( spl54_64
<=> ! [X4,X3] :
( rcircle(sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_64])],[avatar_definition]) ).
fof(f2389,plain,
( ! [X3,X4] :
( rcircle(sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_64 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f2390,plain,
spl54_64,
inference(avatar_split_clause,[],[f1026,f2388]) ).
fof(f2407,definition,
( spl54_66
<=> ! [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_66])],[avatar_definition]) ).
fof(f2408,plain,
( ! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) )
| ~ spl54_66 ),
inference(avatar_component_clause,[],[f2407]) ).
fof(f2409,plain,
spl54_66,
inference(avatar_split_clause,[],[f1467,f2407]) ).
fof(f2425,plain,
( vangle(sK3,vd1306,sK2) = vangle(sK2,vd1306,sK3)
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_25
| ~ spl54_30
| ~ spl54_66 ),
inference(unit_resulting_resolution,[],[f2408,f1581,f1753,f1576,f1704,f1630]) ).
fof(f2427,plain,
( vangle(sK2,sK1,sK3) = vangle(sK3,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_66 ),
inference(unit_resulting_resolution,[],[f2408,f1581,f1571,f1576,f1635,f1630]) ).
fof(f2570,plain,
( rcircle(sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64 ),
inference(unit_resulting_resolution,[],[f2389,f1581,f1571,f1635]) ).
fof(f2671,definition,
( spl54_80
<=> vangle(sK3,vd1300,sK1) = vangle(sK3,vd1306,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_80])],[avatar_definition]) ).
fof(f2673,plain,
( vangle(sK3,vd1300,sK1) = vangle(sK3,vd1306,sK2)
| ~ spl54_80 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f2674,plain,
spl54_80,
inference(avatar_split_clause,[],[f751,f2671]) ).
fof(f2749,definition,
( spl54_85
<=> ! [X4,X3] :
( rcenter(X4,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_85])],[avatar_definition]) ).
fof(f2750,plain,
( ! [X3,X4] :
( rcenter(X4,sK10(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) )
| ~ spl54_85 ),
inference(avatar_component_clause,[],[f2749]) ).
fof(f2751,plain,
spl54_85,
inference(avatar_split_clause,[],[f1024,f2749]) ).
fof(f2756,plain,
( rcenter(sK3,sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_85 ),
inference(unit_resulting_resolution,[],[f2750,f1581,f1571,f1635]) ).
fof(f2757,plain,
( rcenter(sK3,sK10(sK3,sK2))
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_85 ),
inference(unit_resulting_resolution,[],[f2750,f1581,f1576,f1630]) ).
fof(f2805,definition,
( spl54_88
<=> vf(sK3,vd1300) = vf(sK3,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_88])],[avatar_definition]) ).
fof(f2807,plain,
( vf(sK3,vd1300) = vf(sK3,vd1306)
| ~ spl54_88 ),
inference(avatar_component_clause,[],[f2805]) ).
fof(f2808,plain,
spl54_88,
inference(avatar_split_clause,[],[f754,f2805]) ).
fof(f2814,definition,
( spl54_90
<=> ! [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_90])],[avatar_definition]) ).
fof(f2815,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_90 ),
inference(avatar_component_clause,[],[f2814]) ).
fof(f2816,plain,
spl54_90,
inference(avatar_split_clause,[],[f1503,f2814]) ).
fof(f2818,definition,
( spl54_91
<=> ! [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,sK9(X1,X0))
| ~ ron(X4,sK9(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_91])],[avatar_definition]) ).
fof(f2819,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK9(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,sK9(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_91 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f2820,plain,
( spl54_91
| ~ spl54_27
| ~ spl54_29
| ~ spl54_46 ),
inference(avatar_split_clause,[],[f2027,f1983,f1747,f1720,f2818]) ).
fof(f2822,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,sK9(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_91 ),
inference(resolution,[],[f2819,f1980]) ).
fof(f2823,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,sK9(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) )
| ~ spl54_45
| ~ spl54_91 ),
inference(duplicate_literal_removal,[],[f2822]) ).
fof(f2980,definition,
( spl54_99
<=> ! [X0] :
( ~ rR(vd1300,sK2,X0)
| rR(sK2,sK3,X0)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_99])],[avatar_definition]) ).
fof(f2981,plain,
( ! [X0] :
( ~ rR(vd1300,sK2,X0)
| rR(sK2,sK3,X0)
| ~ rpoint(X0) )
| ~ spl54_99 ),
inference(avatar_component_clause,[],[f2980]) ).
fof(f2982,plain,
( spl54_99
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38 ),
inference(avatar_split_clause,[],[f2305,f1866,f1843,f1613,f1579,f1574,f2980]) ).
fof(f2988,definition,
( spl54_101
<=> ron(sK2,sK10(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl54_101])],[avatar_definition]) ).
fof(f2990,plain,
( ron(sK2,sK10(sK3,sK2))
| ~ spl54_101 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f2991,plain,
( spl54_101
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_49 ),
inference(avatar_split_clause,[],[f2071,f2064,f1628,f1579,f1574,f2988]) ).
fof(f3082,definition,
( spl54_105
<=> ron(sK1,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_105])],[avatar_definition]) ).
fof(f3084,plain,
( ron(sK1,sK10(sK3,sK1))
| ~ spl54_105 ),
inference(avatar_component_clause,[],[f3082]) ).
fof(f3085,plain,
( spl54_105
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_49 ),
inference(avatar_split_clause,[],[f2070,f2064,f1633,f1579,f1569,f3082]) ).
fof(f3202,definition,
( spl54_111
<=> rcenter(sK3,sK10(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl54_111])],[avatar_definition]) ).
fof(f3204,plain,
( rcenter(sK3,sK10(sK3,sK2))
| ~ spl54_111 ),
inference(avatar_component_clause,[],[f3202]) ).
fof(f3205,plain,
( spl54_111
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_85 ),
inference(avatar_split_clause,[],[f2757,f2749,f1628,f1579,f1574,f3202]) ).
fof(f3209,definition,
( spl54_112
<=> ! [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_112])],[avatar_definition]) ).
fof(f3210,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_112 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f3211,plain,
spl54_112,
inference(avatar_split_clause,[],[f1092,f3209]) ).
fof(f3246,definition,
( spl54_114
<=> rcenter(sK3,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_114])],[avatar_definition]) ).
fof(f3248,plain,
( rcenter(sK3,sK10(sK3,sK1))
| ~ spl54_114 ),
inference(avatar_component_clause,[],[f3246]) ).
fof(f3249,plain,
( spl54_114
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_85 ),
inference(avatar_split_clause,[],[f2756,f2749,f1633,f1579,f1569,f3246]) ).
fof(f3252,plain,
( sK10(sK3,sK1) = sK10(sK3,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_57
| ~ spl54_90
| ~ spl54_101
| ~ spl54_105
| ~ spl54_111
| ~ spl54_114 ),
inference(unit_resulting_resolution,[],[f2815,f1571,f1576,f2990,f3204,f3084,f2273,f3248]) ).
fof(f3256,plain,
( rinside(sK3,sK10(sK3,sK1))
| ~ spl54_53
| ~ spl54_114 ),
inference(resolution,[],[f3248,f2148]) ).
fof(f3258,plain,
( ron(sK2,sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_2
| ~ spl54_57
| ~ spl54_90
| ~ spl54_101
| ~ spl54_105
| ~ spl54_111
| ~ spl54_114 ),
inference(backward_demodulation,[],[f2990,f3252]) ).
fof(f3540,definition,
( spl54_128
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| ~ ron(X3,sK9(X1,X0))
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_128])],[avatar_definition]) ).
fof(f3541,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X3,sK9(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| vd684 = vangle(X3,X2,X0)
| X0 = X1
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) )
| ~ spl54_128 ),
inference(avatar_component_clause,[],[f3540]) ).
fof(f3542,plain,
( spl54_128
| ~ spl54_29
| ~ spl54_34
| ~ spl54_45 ),
inference(avatar_split_clause,[],[f2048,f1979,f1810,f1747,f3540]) ).
fof(f3544,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_45
| ~ spl54_128 ),
inference(resolution,[],[f3541,f1980]) ).
fof(f3563,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X0,X0)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_45
| ~ spl54_128 ),
inference(duplicate_literal_removal,[],[f3544]) ).
fof(f3574,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_24
| ~ spl54_45
| ~ spl54_128 ),
inference(forward_subsumption_resolution,[],[f3563,f1690]) ).
fof(f3594,definition,
( spl54_129
<=> ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ ron(X2,sK9(X1,X0))
| X0 = X2
| ~ rpoint(X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_129])],[avatar_definition]) ).
fof(f3595,plain,
( ! [X2,X0,X1] :
( ~ ron(X2,sK9(X1,X0))
| ~ rpoint(X1)
| vd684 = vangle(X0,X2,X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_129 ),
inference(avatar_component_clause,[],[f3594]) ).
fof(f3596,plain,
( spl54_129
| ~ spl54_24
| ~ spl54_45
| ~ spl54_128 ),
inference(avatar_split_clause,[],[f3574,f3540,f1979,f1689,f3594]) ).
fof(f3601,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vangle(X1,X0,X1)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_46
| ~ spl54_129 ),
inference(resolution,[],[f3595,f1984]) ).
fof(f3622,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vangle(X1,X0,X1)
| X0 = X1
| ~ rpoint(X1) )
| ~ spl54_46
| ~ spl54_129 ),
inference(duplicate_literal_removal,[],[f3601]) ).
fof(f3630,definition,
( spl54_130
<=> ! [X0,X1] :
( ~ rpoint(X0)
| vd684 = vangle(X1,X0,X1)
| X0 = X1
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_130])],[avatar_definition]) ).
fof(f3631,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| vd684 = vangle(X1,X0,X1)
| X0 = X1
| ~ rpoint(X0) )
| ~ spl54_130 ),
inference(avatar_component_clause,[],[f3630]) ).
fof(f3632,plain,
( spl54_130
| ~ spl54_46
| ~ spl54_129 ),
inference(avatar_split_clause,[],[f3622,f3594,f1983,f3630]) ).
fof(f3640,plain,
( vd684 = vangle(sK2,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| spl54_11
| ~ spl54_130 ),
inference(unit_resulting_resolution,[],[f3631,f1571,f1620,f1576]) ).
fof(f3973,definition,
( spl54_145
<=> rR(sK2,vd1300,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_145])],[avatar_definition]) ).
fof(f3975,plain,
( rR(sK2,vd1300,sK3)
| ~ spl54_145 ),
inference(avatar_component_clause,[],[f3973]) ).
fof(f3976,plain,
( spl54_145
| ~ spl54_2
| ~ spl54_3
| ~ spl54_8
| ~ spl54_10
| ~ spl54_38 ),
inference(avatar_split_clause,[],[f2000,f1866,f1613,f1604,f1579,f1574,f3973]) ).
fof(f4036,definition,
( spl54_150
<=> ! [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,sK9(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ) ),
introduced(definition,[new_symbols(definition,[spl54_150])],[avatar_definition]) ).
fof(f4037,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK9(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_150 ),
inference(avatar_component_clause,[],[f4036]) ).
fof(f4038,plain,
( spl54_150
| ~ spl54_45
| ~ spl54_91 ),
inference(avatar_split_clause,[],[f2823,f2818,f1979,f4036]) ).
fof(f4040,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_150 ),
inference(resolution,[],[f4037,f1980]) ).
fof(f4065,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_150 ),
inference(duplicate_literal_removal,[],[f4040]) ).
fof(f4073,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_24
| ~ spl54_45
| ~ spl54_150 ),
inference(forward_subsumption_resolution,[],[f4065,f1690]) ).
fof(f4093,definition,
( spl54_151
<=> ! [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_151])],[avatar_definition]) ).
fof(f4094,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_151 ),
inference(avatar_component_clause,[],[f4093]) ).
fof(f4095,plain,
( spl54_151
| ~ spl54_24
| ~ spl54_45
| ~ spl54_150 ),
inference(avatar_split_clause,[],[f4073,f4036,f1979,f1689,f4093]) ).
fof(f4111,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK9(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK9(X2,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4)
| ~ rpoint(X2) )
| ~ spl54_46
| ~ spl54_151 ),
inference(resolution,[],[f4094,f1984]) ).
fof(f4133,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK9(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK9(X2,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) )
| ~ spl54_46
| ~ spl54_151 ),
inference(duplicate_literal_removal,[],[f4111]) ).
fof(f4152,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK9(X2,X4))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) )
| ~ spl54_29
| ~ spl54_46
| ~ spl54_151 ),
inference(forward_subsumption_resolution,[],[f4133,f1748]) ).
fof(f4731,definition,
( spl54_165
<=> ! [X4,X0,X3,X2,X1] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK9(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_165])],[avatar_definition]) ).
fof(f4732,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ron(X1,sK9(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_165 ),
inference(avatar_component_clause,[],[f4731]) ).
fof(f4733,plain,
( spl54_165
| ~ spl54_29
| ~ spl54_46
| ~ spl54_151 ),
inference(avatar_split_clause,[],[f4152,f4093,f1983,f1747,f4731]) ).
fof(f4735,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) )
| ~ spl54_45
| ~ spl54_165 ),
inference(resolution,[],[f4732,f1980]) ).
fof(f4744,plain,
( ! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 )
| ~ spl54_45
| ~ spl54_165 ),
inference(duplicate_literal_removal,[],[f4735]) ).
fof(f4807,definition,
( spl54_168
<=> ! [X4] : ~ rline(X4) ),
introduced(definition,[new_symbols(definition,[spl54_168])],[avatar_definition]) ).
fof(f4808,plain,
( ! [X4] : ~ rline(X4)
| ~ spl54_168 ),
inference(avatar_component_clause,[],[f4807]) ).
fof(f4867,definition,
( spl54_172
<=> ron(vd1300,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_172])],[avatar_definition]) ).
fof(f4869,plain,
( ron(vd1300,vd1297)
| ~ spl54_172 ),
inference(avatar_component_clause,[],[f4867]) ).
fof(f4871,definition,
( spl54_173
<=> ron(sK2,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_173])],[avatar_definition]) ).
fof(f4872,plain,
( ron(sK2,vd1297)
| ~ spl54_173 ),
inference(avatar_component_clause,[],[f4871]) ).
fof(f4873,plain,
( ~ ron(sK2,vd1297)
| spl54_173 ),
inference(avatar_component_clause,[],[f4871]) ).
fof(f4874,plain,
( spl54_172
| ~ spl54_173
| ~ spl54_21
| ~ spl54_22
| ~ spl54_60 ),
inference(avatar_split_clause,[],[f2345,f2333,f1671,f1666,f4871,f4867]) ).
fof(f4887,plain,
( ~ rR(sK1,sK3,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_41
| spl54_173 ),
inference(unit_resulting_resolution,[],[f1913,f1581,f1571,f1576,f1673,f1668,f1659,f4873]) ).
fof(f4912,plain,
( vd684 != vangle(sK3,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47
| spl54_173 ),
inference(unit_resulting_resolution,[],[f1988,f1571,f1581,f1576,f1673,f1635,f1620,f1659,f1668,f4873]) ).
fof(f5228,definition,
( spl54_180
<=> rR(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_180])],[avatar_definition]) ).
fof(f5229,plain,
( rR(sK1,sK3,sK2)
| ~ spl54_180 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5230,plain,
( ~ rR(sK1,sK3,sK2)
| spl54_180 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5236,plain,
( vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_16
| ~ spl54_17
| ~ spl54_18
| ~ spl54_151
| spl54_180 ),
inference(unit_resulting_resolution,[],[f4094,f1581,f1576,f1649,f1576,f1644,f1654,f1571,f1620,f1635,f1620,f5230]) ).
fof(f5238,plain,
( vd684 = vangle(sK2,sK1,sK3)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_16
| ~ spl54_17
| ~ spl54_18
| ~ spl54_130
| ~ spl54_151
| spl54_180 ),
inference(forward_demodulation,[],[f5236,f3640]) ).
fof(f5240,plain,
( vd684 = vangle(sK3,sK1,sK2)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_13
| spl54_14
| ~ spl54_16
| ~ spl54_17
| ~ spl54_18
| ~ spl54_66
| ~ spl54_130
| ~ spl54_151
| spl54_180 ),
inference(backward_demodulation,[],[f2427,f5238]) ).
fof(f5243,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_13
| spl54_14
| ~ spl54_16
| ~ spl54_17
| ~ spl54_18
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47
| ~ spl54_66
| ~ spl54_130
| ~ spl54_151
| spl54_173
| spl54_180 ),
inference(forward_subsumption_resolution,[],[f5240,f4912]) ).
fof(f5244,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_13
| spl54_14
| ~ spl54_16
| ~ spl54_17
| ~ spl54_18
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47
| ~ spl54_66
| ~ spl54_130
| ~ spl54_151
| spl54_173
| spl54_180 ),
inference(avatar_contradiction_clause,[],[f5243]) ).
fof(f5569,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_41
| spl54_173
| ~ spl54_180 ),
inference(forward_subsumption_resolution,[],[f5229,f4887]) ).
fof(f5570,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_41
| spl54_173
| ~ spl54_180 ),
inference(avatar_contradiction_clause,[],[f5569]) ).
fof(f6062,definition,
( spl54_190
<=> ! [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_190])],[avatar_definition]) ).
fof(f6063,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_190 ),
inference(avatar_component_clause,[],[f6062]) ).
fof(f6064,plain,
spl54_190,
inference(avatar_split_clause,[],[f940,f6062]) ).
fof(f6091,definition,
( spl54_194
<=> rinside(sK3,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_194])],[avatar_definition]) ).
fof(f6093,plain,
( rinside(sK3,sK10(sK3,sK1))
| ~ spl54_194 ),
inference(avatar_component_clause,[],[f6091]) ).
fof(f6094,plain,
( spl54_194
| ~ spl54_53
| ~ spl54_114 ),
inference(avatar_split_clause,[],[f3256,f3246,f2147,f6091]) ).
fof(f6321,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| rinside(sK2,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| ~ spl54_10
| ~ spl54_112 ),
inference(resolution,[],[f3210,f1615]) ).
fof(f6334,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| rinside(sK2,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3) )
| ~ spl54_2
| ~ spl54_10
| ~ spl54_112 ),
inference(forward_subsumption_resolution,[],[f6321,f1576]) ).
fof(f6344,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| rinside(sK2,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rpoint(sK3) )
| ~ spl54_2
| ~ spl54_10
| ~ spl54_38
| ~ spl54_112 ),
inference(forward_subsumption_resolution,[],[f6334,f1868]) ).
fof(f6353,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| rinside(sK2,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0) )
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_112 ),
inference(forward_subsumption_resolution,[],[f6344,f1581]) ).
fof(f6365,definition,
( spl54_202
<=> ! [X0] :
( ~ ron(vd1300,X0)
| rinside(sK2,X0)
| ~ rinside(sK3,X0)
| ~ rcircle(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_202])],[avatar_definition]) ).
fof(f6366,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| rinside(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rcircle(X0) )
| ~ spl54_202 ),
inference(avatar_component_clause,[],[f6365]) ).
fof(f6367,plain,
( spl54_202
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_112 ),
inference(avatar_split_clause,[],[f6353,f3209,f1866,f1613,f1579,f1574,f6365]) ).
fof(f6368,plain,
( rinside(sK2,sK10(sK3,sK1))
| ~ ron(vd1300,sK10(sK3,sK1))
| ~ rcircle(sK10(sK3,sK1))
| ~ spl54_194
| ~ spl54_202 ),
inference(resolution,[],[f6366,f6093]) ).
fof(f6369,plain,
( rinside(sK2,sK10(sK3,sK1))
| ~ ron(vd1300,sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| ~ spl54_194
| ~ spl54_202 ),
inference(forward_subsumption_resolution,[],[f6368,f2570]) ).
fof(f6722,definition,
( spl54_217
<=> ! [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_217])],[avatar_definition]) ).
fof(f6723,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_217 ),
inference(avatar_component_clause,[],[f6722]) ).
fof(f6724,plain,
spl54_217,
inference(avatar_split_clause,[],[f936,f6722]) ).
fof(f6736,definition,
( spl54_218
<=> ! [X0,X3,X2,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ) ),
introduced(definition,[new_symbols(definition,[spl54_218])],[avatar_definition]) ).
fof(f6737,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| X0 = X1
| X1 = X3 )
| ~ spl54_218 ),
inference(avatar_component_clause,[],[f6736]) ).
fof(f6738,plain,
( spl54_218
| ~ spl54_45
| ~ spl54_165 ),
inference(avatar_split_clause,[],[f4744,f4731,f1979,f6736]) ).
fof(f6748,definition,
( spl54_219
<=> ron(vd1300,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_219])],[avatar_definition]) ).
fof(f6750,plain,
( ~ ron(vd1300,sK10(sK3,sK1))
| spl54_219 ),
inference(avatar_component_clause,[],[f6748]) ).
fof(f6752,definition,
( spl54_220
<=> rinside(sK2,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_220])],[avatar_definition]) ).
fof(f6754,plain,
( rinside(sK2,sK10(sK3,sK1))
| ~ spl54_220 ),
inference(avatar_component_clause,[],[f6752]) ).
fof(f6755,plain,
( ~ spl54_219
| spl54_220
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| ~ spl54_194
| ~ spl54_202 ),
inference(avatar_split_clause,[],[f6369,f6365,f6091,f2388,f1633,f1579,f1569,f6752,f6748]) ).
fof(f6787,plain,
( vd1306 = vd1303
| ~ spl54_29
| ~ spl54_30
| ~ spl54_55
| ~ spl54_168 ),
inference(unit_resulting_resolution,[],[f1748,f2158,f1753,f4808]) ).
fof(f6874,plain,
( $false
| ~ spl54_29
| ~ spl54_30
| spl54_39
| ~ spl54_55
| ~ spl54_168 ),
inference(forward_subsumption_resolution,[],[f6787,f1905]) ).
fof(f6875,plain,
( ~ spl54_29
| ~ spl54_30
| spl54_39
| ~ spl54_55
| ~ spl54_168 ),
inference(avatar_contradiction_clause,[],[f6874]) ).
fof(f9810,definition,
( spl54_238
<=> ! [X0,X1] :
( rR(X0,X1,sK1)
| vd684 = vangle(X1,X0,sK1)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK1 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_238])],[avatar_definition]) ).
fof(f9811,plain,
( ! [X0,X1] :
( rR(X0,X1,sK1)
| vd684 = vangle(X1,X0,sK1)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| sK1 = X0
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_238 ),
inference(avatar_component_clause,[],[f9810]) ).
fof(f9812,plain,
( spl54_238
| ~ spl54_1
| ~ spl54_19
| ~ spl54_22
| ~ spl54_34 ),
inference(avatar_split_clause,[],[f1861,f1810,f1671,f1657,f1569,f9810]) ).
fof(f9829,plain,
( vd684 = vangle(sK2,vd1300,sK1)
| ~ ron(sK2,vd1297)
| ~ ron(vd1300,vd1297)
| vd1300 = sK1
| vd1300 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| rR(sK2,sK3,sK1)
| ~ rpoint(sK1)
| ~ spl54_99
| ~ spl54_238 ),
inference(resolution,[],[f9811,f2981]) ).
fof(f9851,plain,
( vd684 = vangle(sK2,vd1300,sK1)
| ~ ron(vd1300,vd1297)
| vd1300 = sK1
| vd1300 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| rR(sK2,sK3,sK1)
| ~ rpoint(sK1)
| ~ spl54_99
| ~ spl54_173
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9829,f4872]) ).
fof(f9866,plain,
( vd684 = vangle(sK2,vd1300,sK1)
| vd1300 = sK1
| vd1300 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| rR(sK2,sK3,sK1)
| ~ rpoint(sK1)
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9851,f4869]) ).
fof(f9871,plain,
( vd684 = vangle(sK2,vd1300,sK1)
| vd1300 = sK1
| vd1300 = sK2
| ~ rpoint(vd1300)
| rR(sK2,sK3,sK1)
| ~ rpoint(sK1)
| ~ spl54_2
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9866,f1576]) ).
fof(f9874,plain,
( vd684 = vangle(sK2,vd1300,sK1)
| vd1300 = sK1
| vd1300 = sK2
| rR(sK2,sK3,sK1)
| ~ rpoint(sK1)
| ~ spl54_2
| ~ spl54_38
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9871,f1868]) ).
fof(f9877,plain,
( vd684 = vangle(sK2,vd1300,sK1)
| vd1300 = sK1
| vd1300 = sK2
| rR(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_38
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238 ),
inference(forward_subsumption_resolution,[],[f9874,f1571]) ).
fof(f9880,plain,
( vd684 = sF52
| vd1300 = sK1
| vd1300 = sK2
| rR(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_4
| ~ spl54_38
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238 ),
inference(forward_demodulation,[],[f9877,f1586]) ).
fof(f9884,definition,
( spl54_239
<=> rR(sK2,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_239])],[avatar_definition]) ).
fof(f9886,plain,
( rR(sK2,sK3,sK1)
| ~ spl54_239 ),
inference(avatar_component_clause,[],[f9884]) ).
fof(f9888,definition,
( spl54_240
<=> vd1300 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_240])],[avatar_definition]) ).
fof(f9890,plain,
( vd1300 = sK2
| ~ spl54_240 ),
inference(avatar_component_clause,[],[f9888]) ).
fof(f9892,definition,
( spl54_241
<=> vd1300 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_241])],[avatar_definition]) ).
fof(f9893,plain,
( vd1300 != sK1
| spl54_241 ),
inference(avatar_component_clause,[],[f9892]) ).
fof(f9896,definition,
( spl54_242
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_242])],[avatar_definition]) ).
fof(f9898,plain,
( vd684 = sF52
| ~ spl54_242 ),
inference(avatar_component_clause,[],[f9896]) ).
fof(f9899,plain,
( spl54_239
| spl54_240
| spl54_241
| spl54_242
| ~ spl54_1
| ~ spl54_2
| ~ spl54_4
| ~ spl54_38
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238 ),
inference(avatar_split_clause,[],[f9880,f9810,f4871,f4867,f2980,f1866,f1584,f1574,f1569,f9896,f9892,f9888,f9884]) ).
fof(f10068,plain,
( rR(sK2,sK2,sK3)
| ~ spl54_145
| ~ spl54_240 ),
inference(backward_demodulation,[],[f3975,f9890]) ).
fof(f10306,plain,
( $false
| ~ spl54_2
| ~ spl54_3
| ~ spl54_23
| ~ spl54_145
| ~ spl54_240 ),
inference(forward_subsumption_resolution,[],[f10068,f1686]) ).
fof(f10307,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_23
| ~ spl54_145
| ~ spl54_240 ),
inference(avatar_contradiction_clause,[],[f10306]) ).
fof(f10398,plain,
( vd1300 != sK1
| rR(sK2,sK3,sK1)
| ~ rR(sK2,sK3,vd1300) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f10399,plain,
( vd684 != sF53
| spl54_6
| ~ spl54_242 ),
inference(backward_demodulation,[],[f1596,f9898]) ).
fof(f11087,definition,
( spl54_244
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_244])],[avatar_definition]) ).
fof(f11089,plain,
( vd684 != sF53
| spl54_244 ),
inference(avatar_component_clause,[],[f11087]) ).
fof(f11090,plain,
( ~ spl54_244
| spl54_6
| ~ spl54_242 ),
inference(avatar_split_clause,[],[f10399,f9896,f1594,f11087]) ).
fof(f12378,plain,
( ~ ron(vd1306,sK10(sK3,sK1))
| ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_114
| ~ spl54_190
| spl54_219 ),
inference(unit_resulting_resolution,[],[f6063,f1868,f1753,f3248,f2807,f6750]) ).
fof(f12543,definition,
( spl54_276
<=> rR(sK2,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_276])],[avatar_definition]) ).
fof(f12545,plain,
( ~ rR(sK2,sK2,sK1)
| spl54_276 ),
inference(avatar_component_clause,[],[f12543]) ).
fof(f12546,plain,
( ~ spl54_276
| ~ spl54_1
| ~ spl54_2
| ~ spl54_23 ),
inference(avatar_split_clause,[],[f1680,f1676,f1574,f1569,f12543]) ).
fof(f12698,definition,
( spl54_284
<=> ron(sK2,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_284])],[avatar_definition]) ).
fof(f12700,plain,
( ron(sK2,sK10(sK3,sK1))
| ~ spl54_284 ),
inference(avatar_component_clause,[],[f12698]) ).
fof(f12701,plain,
( spl54_284
| ~ spl54_1
| ~ spl54_2
| ~ spl54_57
| ~ spl54_90
| ~ spl54_101
| ~ spl54_105
| ~ spl54_111
| ~ spl54_114 ),
inference(avatar_split_clause,[],[f3258,f3246,f3202,f3082,f2988,f2814,f2271,f1574,f1569,f12698]) ).
fof(f13139,definition,
( spl54_301
<=> rR(sK3,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_301])],[avatar_definition]) ).
fof(f13141,plain,
( ~ rR(sK3,sK1,sK1)
| spl54_301 ),
inference(avatar_component_clause,[],[f13139]) ).
fof(f13142,plain,
( ~ spl54_301
| ~ spl54_1
| ~ spl54_3
| ~ spl54_24 ),
inference(avatar_split_clause,[],[f1694,f1689,f1579,f1569,f13139]) ).
fof(f13289,definition,
( spl54_306
<=> ! [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_306])],[avatar_definition]) ).
fof(f13290,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_306 ),
inference(avatar_component_clause,[],[f13289]) ).
fof(f13291,plain,
spl54_306,
inference(avatar_split_clause,[],[f934,f13289]) ).
fof(f13496,definition,
( spl54_310
<=> rR(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_310])],[avatar_definition]) ).
fof(f13497,plain,
( rR(sK3,sK1,sK2)
| ~ spl54_310 ),
inference(avatar_component_clause,[],[f13496]) ).
fof(f13498,plain,
( ~ rR(sK3,sK1,sK2)
| spl54_310 ),
inference(avatar_component_clause,[],[f13496]) ).
fof(f13528,plain,
( ~ rcircle(sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_62
| ~ spl54_105
| ~ spl54_173
| ~ spl54_194
| ~ spl54_284
| spl54_310 ),
inference(unit_resulting_resolution,[],[f2356,f1581,f1571,f1576,f1673,f4872,f1668,f1659,f6093,f3084,f12700,f1620,f13498]) ).
fof(f13584,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_62
| ~ spl54_64
| ~ spl54_105
| ~ spl54_173
| ~ spl54_194
| ~ spl54_284
| spl54_310 ),
inference(forward_subsumption_resolution,[],[f13528,f2570]) ).
fof(f13585,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_62
| ~ spl54_64
| ~ spl54_105
| ~ spl54_173
| ~ spl54_194
| ~ spl54_284
| spl54_310 ),
inference(avatar_contradiction_clause,[],[f13584]) ).
fof(f13627,plain,
( ~ rR(sK2,sK3,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_37
| spl54_301
| ~ spl54_310 ),
inference(unit_resulting_resolution,[],[f1844,f1571,f1581,f1576,f1571,f13141,f13497]) ).
fof(f13628,plain,
( rR(sK3,sK1,vd1300)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38
| ~ spl54_310 ),
inference(unit_resulting_resolution,[],[f1844,f1571,f1581,f1576,f1868,f1615,f13497]) ).
fof(f13791,definition,
( spl54_311
<=> rR(sK3,sK1,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_311])],[avatar_definition]) ).
fof(f13793,plain,
( rR(sK3,sK1,vd1300)
| ~ spl54_311 ),
inference(avatar_component_clause,[],[f13791]) ).
fof(f13794,plain,
( spl54_311
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38
| ~ spl54_310 ),
inference(avatar_split_clause,[],[f13628,f13496,f1866,f1843,f1613,f1579,f1574,f1569,f13791]) ).
fof(f13819,plain,
( ! [X0] :
( ~ rR(vd1300,sK3,X0)
| rR(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_37
| ~ spl54_311 ),
inference(resolution,[],[f13793,f1844]) ).
fof(f13834,plain,
( ! [X0] :
( ~ rR(vd1300,sK3,X0)
| rR(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_37
| ~ spl54_38
| ~ spl54_311 ),
inference(forward_subsumption_resolution,[],[f13819,f1868]) ).
fof(f13846,plain,
( ! [X0] :
( ~ rR(vd1300,sK3,X0)
| rR(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_3
| ~ spl54_37
| ~ spl54_38
| ~ spl54_311 ),
inference(forward_subsumption_resolution,[],[f13834,f1581]) ).
fof(f13856,plain,
( ! [X0] :
( ~ rR(vd1300,sK3,X0)
| rR(sK3,sK1,X0)
| ~ rpoint(X0) )
| ~ spl54_1
| ~ spl54_3
| ~ spl54_37
| ~ spl54_38
| ~ spl54_311 ),
inference(forward_subsumption_resolution,[],[f13846,f1571]) ).
fof(f14480,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_37
| ~ spl54_239
| spl54_301
| ~ spl54_310 ),
inference(forward_subsumption_resolution,[],[f13627,f9886]) ).
fof(f14481,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_37
| ~ spl54_239
| spl54_301
| ~ spl54_310 ),
inference(avatar_contradiction_clause,[],[f14480]) ).
fof(f14814,definition,
( spl54_323
<=> ! [X9,X7,X6,X8] :
( rinside(X7,X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X6)
| ~ rinside(X9,X6)
| ~ rinside(X8,X6)
| ~ rR(X7,X9,X8) ) ),
introduced(definition,[new_symbols(definition,[spl54_323])],[avatar_definition]) ).
fof(f14815,plain,
( ! [X8,X6,X9,X7] :
( ~ rR(X7,X9,X8)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X6)
| ~ rinside(X9,X6)
| ~ rinside(X8,X6)
| rinside(X7,X6) )
| ~ spl54_323 ),
inference(avatar_component_clause,[],[f14814]) ).
fof(f14816,plain,
( spl54_168
| spl54_323 ),
inference(avatar_split_clause,[],[f1112,f14814,f4807]) ).
fof(f14839,plain,
( ! [X0] :
( ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK3,X0)
| ~ rinside(vd1300,X0)
| rinside(sK2,X0) )
| ~ spl54_10
| ~ spl54_323 ),
inference(resolution,[],[f14815,f1615]) ).
fof(f14851,plain,
( ! [X0] :
( ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK3,X0)
| ~ rinside(vd1300,X0)
| rinside(sK2,X0) )
| ~ spl54_3
| ~ spl54_10
| ~ spl54_323 ),
inference(forward_subsumption_resolution,[],[f14839,f1581]) ).
fof(f14875,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK3,X0)
| ~ rinside(vd1300,X0)
| rinside(sK2,X0) )
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_323 ),
inference(forward_subsumption_resolution,[],[f14851,f1868]) ).
fof(f14893,plain,
( ! [X0] :
( ~ rcircle(X0)
| ~ rinside(sK3,X0)
| ~ rinside(vd1300,X0)
| rinside(sK2,X0) )
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_323 ),
inference(forward_subsumption_resolution,[],[f14875,f1576]) ).
fof(f14920,definition,
( spl54_325
<=> ! [X0] :
( ~ rcircle(X0)
| ~ rinside(sK3,X0)
| ~ rinside(vd1300,X0)
| rinside(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_325])],[avatar_definition]) ).
fof(f14921,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ rinside(vd1300,X0)
| rinside(sK2,X0) )
| ~ spl54_325 ),
inference(avatar_component_clause,[],[f14920]) ).
fof(f14922,plain,
( spl54_325
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_323 ),
inference(avatar_split_clause,[],[f14893,f14814,f1866,f1613,f1579,f1574,f14920]) ).
fof(f14923,plain,
( ~ rcircle(sK10(sK3,sK1))
| ~ rinside(vd1300,sK10(sK3,sK1))
| rinside(sK2,sK10(sK3,sK1))
| ~ spl54_194
| ~ spl54_325 ),
inference(resolution,[],[f14921,f6093]) ).
fof(f14926,plain,
( ~ rinside(vd1300,sK10(sK3,sK1))
| rinside(sK2,sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| ~ spl54_194
| ~ spl54_325 ),
inference(forward_subsumption_resolution,[],[f14923,f2570]) ).
fof(f14938,definition,
( spl54_327
<=> rinside(vd1300,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_327])],[avatar_definition]) ).
fof(f14940,plain,
( ~ rinside(vd1300,sK10(sK3,sK1))
| spl54_327 ),
inference(avatar_component_clause,[],[f14938]) ).
fof(f14941,plain,
( spl54_220
| ~ spl54_327
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| ~ spl54_194
| ~ spl54_325 ),
inference(avatar_split_clause,[],[f14926,f14920,f6091,f2388,f1633,f1579,f1569,f14938,f6752]) ).
fof(f14944,plain,
( ~ rless(vf(sK3,vd1300),vf(sK3,sK1))
| ~ spl54_1
| ~ spl54_38
| ~ spl54_105
| ~ spl54_114
| ~ spl54_217
| spl54_327 ),
inference(unit_resulting_resolution,[],[f6723,f1868,f1571,f3248,f3084,f14940]) ).
fof(f14946,plain,
( ~ rless(vf(sK3,vd1306),vf(sK3,sK1))
| ~ spl54_1
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_217
| spl54_327 ),
inference(forward_demodulation,[],[f14944,f2807]) ).
fof(f15424,definition,
( spl54_345
<=> vd1306 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_345])],[avatar_definition]) ).
fof(f15425,plain,
( vd1306 != sK1
| spl54_345 ),
inference(avatar_component_clause,[],[f15424]) ).
fof(f15426,plain,
( vd1306 = sK1
| ~ spl54_345 ),
inference(avatar_component_clause,[],[f15424]) ).
fof(f16881,definition,
( spl54_405
<=> vd1306 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_405])],[avatar_definition]) ).
fof(f16882,plain,
( vd1306 != sK2
| spl54_405 ),
inference(avatar_component_clause,[],[f16881]) ).
fof(f16888,plain,
( vd1306 != sK2
| rR(sK3,sK1,vd1306)
| ~ rR(sK3,sK1,sK2) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f16900,plain,
( vangle(sK1,vd1306,sK2) = vangle(sK2,vd1306,sK1)
| ~ spl54_1
| ~ spl54_2
| spl54_11
| ~ spl54_30
| ~ spl54_66
| spl54_405 ),
inference(unit_resulting_resolution,[],[f2408,f1571,f1620,f1753,f1576,f16882]) ).
fof(f16965,plain,
( sF53 = vangle(sK2,vd1306,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_5
| spl54_11
| ~ spl54_30
| ~ spl54_66
| spl54_405 ),
inference(forward_demodulation,[],[f16900,f1591]) ).
fof(f16988,definition,
( spl54_407
<=> sF53 = vangle(sK2,vd1306,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_407])],[avatar_definition]) ).
fof(f16990,plain,
( sF53 = vangle(sK2,vd1306,sK1)
| ~ spl54_407 ),
inference(avatar_component_clause,[],[f16988]) ).
fof(f16991,plain,
( spl54_407
| ~ spl54_1
| ~ spl54_2
| ~ spl54_5
| spl54_11
| ~ spl54_30
| ~ spl54_66
| spl54_405 ),
inference(avatar_split_clause,[],[f16965,f16881,f2407,f1751,f1618,f1589,f1574,f1569,f16988]) ).
fof(f19130,plain,
( ~ ron(sK1,sK10(sK3,sK1))
| ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_114
| ~ spl54_190
| spl54_219
| ~ spl54_345 ),
inference(backward_demodulation,[],[f12378,f15426]) ).
fof(f19623,plain,
( $false
| ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_190
| spl54_219
| ~ spl54_345 ),
inference(forward_subsumption_resolution,[],[f19130,f3084]) ).
fof(f19624,plain,
( ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_190
| spl54_219
| ~ spl54_345 ),
inference(avatar_contradiction_clause,[],[f19623]) ).
fof(f20681,plain,
( ~ rcircle(sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_2
| spl54_11
| ~ spl54_19
| ~ spl54_22
| ~ spl54_62
| ~ spl54_105
| ~ spl54_173
| ~ spl54_220
| spl54_276
| ~ spl54_284 ),
inference(unit_resulting_resolution,[],[f2356,f1576,f1576,f1571,f1673,f1659,f4872,f4872,f1620,f12545,f12700,f3084,f6754]) ).
fof(f20688,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_22
| ~ spl54_62
| ~ spl54_64
| ~ spl54_105
| ~ spl54_173
| ~ spl54_220
| spl54_276
| ~ spl54_284 ),
inference(forward_subsumption_resolution,[],[f20681,f2570]) ).
fof(f20689,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_22
| ~ spl54_62
| ~ spl54_64
| ~ spl54_105
| ~ spl54_173
| ~ spl54_220
| spl54_276
| ~ spl54_284 ),
inference(avatar_contradiction_clause,[],[f20688]) ).
fof(f23014,definition,
( spl54_482
<=> rcircle(sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_482])],[avatar_definition]) ).
fof(f23016,plain,
( rcircle(sK10(sK3,sK1))
| ~ spl54_482 ),
inference(avatar_component_clause,[],[f23014]) ).
fof(f23017,plain,
( spl54_482
| ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64 ),
inference(avatar_split_clause,[],[f2570,f2388,f1633,f1579,f1569,f23014]) ).
fof(f25155,definition,
( spl54_534
<=> ! [X0] :
( ~ rR(vd1300,sK3,X0)
| rR(sK3,sK1,X0)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_534])],[avatar_definition]) ).
fof(f25156,plain,
( ! [X0] :
( ~ rR(vd1300,sK3,X0)
| rR(sK3,sK1,X0)
| ~ rpoint(X0) )
| ~ spl54_534 ),
inference(avatar_component_clause,[],[f25155]) ).
fof(f25157,plain,
( spl54_534
| ~ spl54_1
| ~ spl54_3
| ~ spl54_37
| ~ spl54_38
| ~ spl54_311 ),
inference(avatar_split_clause,[],[f13856,f13791,f1866,f1843,f1579,f1569,f25155]) ).
fof(f25165,plain,
( rR(sK3,sK1,sK1)
| ~ rpoint(sK1)
| vd684 = vangle(sK3,vd1300,sK1)
| ~ ron(sK3,vd1297)
| ~ ron(vd1300,vd1297)
| vd1300 = sK1
| vd1300 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_238
| ~ spl54_534 ),
inference(resolution,[],[f25156,f9811]) ).
fof(f25172,plain,
( ~ rpoint(sK1)
| vd684 = vangle(sK3,vd1300,sK1)
| ~ ron(sK3,vd1297)
| ~ ron(vd1300,vd1297)
| vd1300 = sK1
| vd1300 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_24
| ~ spl54_238
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25165,f1690]) ).
fof(f25178,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| ~ ron(sK3,vd1297)
| ~ ron(vd1300,vd1297)
| vd1300 = sK1
| vd1300 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_1
| ~ spl54_24
| ~ spl54_238
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25172,f1571]) ).
fof(f25184,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| ~ ron(vd1300,vd1297)
| vd1300 = sK1
| vd1300 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_1
| ~ spl54_21
| ~ spl54_24
| ~ spl54_238
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25178,f1668]) ).
fof(f25190,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| vd1300 = sK1
| vd1300 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_1
| ~ spl54_21
| ~ spl54_24
| ~ spl54_172
| ~ spl54_238
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25184,f4869]) ).
fof(f25192,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| vd1300 = sK3
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_1
| ~ spl54_21
| ~ spl54_24
| ~ spl54_172
| ~ spl54_238
| spl54_241
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25190,f9893]) ).
fof(f25194,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1300)
| ~ spl54_1
| ~ spl54_21
| ~ spl54_24
| spl54_26
| ~ spl54_172
| ~ spl54_238
| spl54_241
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25192,f1709]) ).
fof(f25196,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| ~ rpoint(vd1300)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_21
| ~ spl54_24
| spl54_26
| ~ spl54_172
| ~ spl54_238
| spl54_241
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25194,f1581]) ).
fof(f25198,plain,
( vd684 = vangle(sK3,vd1300,sK1)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_21
| ~ spl54_24
| spl54_26
| ~ spl54_38
| ~ spl54_172
| ~ spl54_238
| spl54_241
| ~ spl54_534 ),
inference(forward_subsumption_resolution,[],[f25196,f1868]) ).
fof(f25199,plain,
( vd684 = vangle(sK3,vd1306,sK2)
| ~ spl54_1
| ~ spl54_3
| ~ spl54_21
| ~ spl54_24
| spl54_26
| ~ spl54_38
| ~ spl54_80
| ~ spl54_172
| ~ spl54_238
| spl54_241
| ~ spl54_534 ),
inference(backward_demodulation,[],[f2673,f25198]) ).
fof(f25203,plain,
( vd684 = vangle(sK2,vd1306,sK3)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_21
| ~ spl54_24
| spl54_25
| spl54_26
| ~ spl54_30
| ~ spl54_38
| ~ spl54_66
| ~ spl54_80
| ~ spl54_172
| ~ spl54_238
| spl54_241
| ~ spl54_534 ),
inference(backward_demodulation,[],[f2425,f25199]) ).
fof(f36779,definition,
( spl54_746
<=> rR(vd1306,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_746])],[avatar_definition]) ).
fof(f36780,plain,
( ~ rR(vd1306,sK3,sK1)
| spl54_746 ),
inference(avatar_component_clause,[],[f36779]) ).
fof(f36781,plain,
( rR(vd1306,sK3,sK1)
| ~ spl54_746 ),
inference(avatar_component_clause,[],[f36779]) ).
fof(f36808,plain,
( rinside(vd1306,sK10(sK3,sK1))
| ~ spl54_1
| ~ spl54_3
| ~ spl54_30
| ~ spl54_105
| ~ spl54_112
| ~ spl54_194
| ~ spl54_482
| ~ spl54_746 ),
inference(unit_resulting_resolution,[],[f3210,f1581,f1571,f1753,f23016,f6093,f3084,f36781]) ).
fof(f36896,plain,
( vangle(sK2,vd1306,sK3) = vangle(sK2,vd1306,sK1)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_14
| spl54_25
| ~ spl54_30
| ~ spl54_218
| spl54_345
| spl54_405
| spl54_746 ),
inference(unit_resulting_resolution,[],[f6737,f1581,f1753,f1571,f1576,f16882,f1635,f15425,f1704,f36780]) ).
fof(f36933,plain,
( sF53 = vangle(sK2,vd1306,sK3)
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_14
| spl54_25
| ~ spl54_30
| ~ spl54_218
| spl54_345
| spl54_405
| ~ spl54_407
| spl54_746 ),
inference(forward_demodulation,[],[f36896,f16990]) ).
fof(f36946,plain,
( vd684 = sF53
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_21
| ~ spl54_24
| spl54_25
| spl54_26
| ~ spl54_30
| ~ spl54_38
| ~ spl54_66
| ~ spl54_80
| ~ spl54_172
| ~ spl54_218
| ~ spl54_238
| spl54_241
| spl54_345
| spl54_405
| ~ spl54_407
| ~ spl54_534
| spl54_746 ),
inference(forward_demodulation,[],[f36933,f25203]) ).
fof(f36958,plain,
( $false
| ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_21
| ~ spl54_24
| spl54_25
| spl54_26
| ~ spl54_30
| ~ spl54_38
| ~ spl54_66
| ~ spl54_80
| ~ spl54_172
| ~ spl54_218
| ~ spl54_238
| spl54_241
| spl54_244
| spl54_345
| spl54_405
| ~ spl54_407
| ~ spl54_534
| spl54_746 ),
inference(forward_subsumption_resolution,[],[f36946,f11089]) ).
fof(f36959,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_21
| ~ spl54_24
| spl54_25
| spl54_26
| ~ spl54_30
| ~ spl54_38
| ~ spl54_66
| ~ spl54_80
| ~ spl54_172
| ~ spl54_218
| ~ spl54_238
| spl54_241
| spl54_244
| spl54_345
| spl54_405
| ~ spl54_407
| ~ spl54_534
| spl54_746 ),
inference(avatar_contradiction_clause,[],[f36958]) ).
fof(f37118,definition,
( spl54_749
<=> rinside(vd1306,sK10(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_749])],[avatar_definition]) ).
fof(f37120,plain,
( rinside(vd1306,sK10(sK3,sK1))
| ~ spl54_749 ),
inference(avatar_component_clause,[],[f37118]) ).
fof(f37121,plain,
( spl54_749
| ~ spl54_1
| ~ spl54_3
| ~ spl54_30
| ~ spl54_105
| ~ spl54_112
| ~ spl54_194
| ~ spl54_482
| ~ spl54_746 ),
inference(avatar_split_clause,[],[f36808,f36779,f23014,f6091,f3209,f3082,f1751,f1579,f1569,f37118]) ).
fof(f37156,plain,
( rless(vf(sK3,vd1306),vf(sK3,sK1))
| ~ spl54_1
| ~ spl54_30
| ~ spl54_105
| ~ spl54_114
| ~ spl54_306
| ~ spl54_749 ),
inference(unit_resulting_resolution,[],[f13290,f1753,f1571,f3248,f3084,f37120]) ).
fof(f37201,plain,
( $false
| ~ spl54_1
| ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_217
| ~ spl54_306
| spl54_327
| ~ spl54_749 ),
inference(forward_subsumption_resolution,[],[f37156,f14946]) ).
fof(f37202,plain,
( ~ spl54_1
| ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_217
| ~ spl54_306
| spl54_327
| ~ spl54_749 ),
inference(avatar_contradiction_clause,[],[f37201]) ).
cnf(s1,plain,
spl54_1,
inference(sat_conversion,[],[f1572]) ).
cnf(s2,plain,
spl54_2,
inference(sat_conversion,[],[f1577]) ).
cnf(s3,plain,
spl54_3,
inference(sat_conversion,[],[f1582]) ).
cnf(s4,plain,
spl54_4,
inference(sat_conversion,[],[f1587]) ).
cnf(s5,plain,
spl54_5,
inference(sat_conversion,[],[f1592]) ).
cnf(s6,plain,
~ spl54_6,
inference(sat_conversion,[],[f1597]) ).
cnf(s8,plain,
spl54_8,
inference(sat_conversion,[],[f1606]) ).
cnf(s9,plain,
~ spl54_9,
inference(sat_conversion,[],[f1611]) ).
cnf(s10,plain,
spl54_10,
inference(sat_conversion,[],[f1616]) ).
cnf(s11,plain,
~ spl54_11,
inference(sat_conversion,[],[f1621]) ).
cnf(s13,plain,
~ spl54_13,
inference(sat_conversion,[],[f1631]) ).
cnf(s14,plain,
~ spl54_14,
inference(sat_conversion,[],[f1636]) ).
cnf(s16,plain,
spl54_16,
inference(sat_conversion,[],[f1645]) ).
cnf(s17,plain,
spl54_17,
inference(sat_conversion,[],[f1650]) ).
cnf(s18,plain,
spl54_18,
inference(sat_conversion,[],[f1655]) ).
cnf(s19,plain,
spl54_19,
inference(sat_conversion,[],[f1660]) ).
cnf(s21,plain,
spl54_21,
inference(sat_conversion,[],[f1669]) ).
cnf(s22,plain,
spl54_22,
inference(sat_conversion,[],[f1674]) ).
cnf(s23,plain,
spl54_23,
inference(sat_conversion,[],[f1678]) ).
cnf(s24,plain,
spl54_24,
inference(sat_conversion,[],[f1691]) ).
cnf(s25,plain,
~ spl54_25,
inference(sat_conversion,[],[f1705]) ).
cnf(s26,plain,
~ spl54_26,
inference(sat_conversion,[],[f1710]) ).
cnf(s27,plain,
spl54_27,
inference(sat_conversion,[],[f1722]) ).
cnf(s29,plain,
spl54_29,
inference(sat_conversion,[],[f1749]) ).
cnf(s30,plain,
spl54_30,
inference(sat_conversion,[],[f1754]) ).
cnf(s34,plain,
spl54_34,
inference(sat_conversion,[],[f1812]) ).
cnf(s37,plain,
spl54_37,
inference(sat_conversion,[],[f1845]) ).
cnf(s38,plain,
spl54_38,
inference(sat_conversion,[],[f1869]) ).
cnf(s39,plain,
~ spl54_39,
inference(sat_conversion,[],[f1906]) ).
cnf(s41,plain,
spl54_41,
inference(sat_conversion,[],[f1914]) ).
cnf(s45,plain,
spl54_45,
inference(sat_conversion,[],[f1981]) ).
cnf(s46,plain,
spl54_46,
inference(sat_conversion,[],[f1985]) ).
cnf(s47,plain,
spl54_47,
inference(sat_conversion,[],[f1989]) ).
cnf(s49,plain,
spl54_49,
inference(sat_conversion,[],[f2066]) ).
cnf(s53,plain,
spl54_53,
inference(sat_conversion,[],[f2149]) ).
cnf(s55,plain,
spl54_55,
inference(sat_conversion,[],[f2159]) ).
cnf(s57,plain,
spl54_57,
inference(sat_conversion,[],[f2274]) ).
cnf(s60,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_41
| spl54_60 ),
inference(sat_conversion,[],[f2335]) ).
cnf(s62,plain,
spl54_62,
inference(sat_conversion,[],[f2357]) ).
cnf(s64,plain,
spl54_64,
inference(sat_conversion,[],[f2390]) ).
cnf(s66,plain,
spl54_66,
inference(sat_conversion,[],[f2409]) ).
cnf(s80,plain,
spl54_80,
inference(sat_conversion,[],[f2674]) ).
cnf(s85,plain,
spl54_85,
inference(sat_conversion,[],[f2751]) ).
cnf(s88,plain,
spl54_88,
inference(sat_conversion,[],[f2808]) ).
cnf(s90,plain,
spl54_90,
inference(sat_conversion,[],[f2816]) ).
cnf(s91,plain,
( ~ spl54_27
| ~ spl54_29
| ~ spl54_46
| spl54_91 ),
inference(sat_conversion,[],[f2820]) ).
cnf(s99,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38
| spl54_99 ),
inference(sat_conversion,[],[f2982]) ).
cnf(s101,plain,
( ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_49
| spl54_101 ),
inference(sat_conversion,[],[f2991]) ).
cnf(s105,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_49
| spl54_105 ),
inference(sat_conversion,[],[f3085]) ).
cnf(s111,plain,
( ~ spl54_2
| ~ spl54_3
| spl54_13
| ~ spl54_85
| spl54_111 ),
inference(sat_conversion,[],[f3205]) ).
cnf(s112,plain,
spl54_112,
inference(sat_conversion,[],[f3211]) ).
cnf(s114,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_85
| spl54_114 ),
inference(sat_conversion,[],[f3249]) ).
cnf(s128,plain,
( ~ spl54_29
| ~ spl54_34
| ~ spl54_45
| spl54_128 ),
inference(sat_conversion,[],[f3542]) ).
cnf(s129,plain,
( ~ spl54_24
| ~ spl54_45
| ~ spl54_128
| spl54_129 ),
inference(sat_conversion,[],[f3596]) ).
cnf(s130,plain,
( ~ spl54_46
| ~ spl54_129
| spl54_130 ),
inference(sat_conversion,[],[f3632]) ).
cnf(s144,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_8
| ~ spl54_10
| ~ spl54_38
| spl54_145 ),
inference(sat_conversion,[],[f3976]) ).
cnf(s148,plain,
( ~ spl54_45
| ~ spl54_91
| spl54_150 ),
inference(sat_conversion,[],[f4038]) ).
cnf(s149,plain,
( ~ spl54_24
| ~ spl54_45
| ~ spl54_150
| spl54_151 ),
inference(sat_conversion,[],[f4095]) ).
cnf(s163,plain,
( ~ spl54_29
| ~ spl54_46
| ~ spl54_151
| spl54_165 ),
inference(sat_conversion,[],[f4733]) ).
cnf(s171,plain,
( ~ spl54_21
| ~ spl54_22
| ~ spl54_60
| spl54_172
| ~ spl54_173 ),
inference(sat_conversion,[],[f4874]) ).
cnf(s180,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_13
| spl54_14
| ~ spl54_16
| ~ spl54_17
| ~ spl54_18
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_47
| ~ spl54_66
| ~ spl54_130
| ~ spl54_151
| spl54_173
| spl54_180 ),
inference(sat_conversion,[],[f5244]) ).
cnf(s188,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_41
| spl54_173
| ~ spl54_180 ),
inference(sat_conversion,[],[f5570]) ).
cnf(s200,plain,
spl54_190,
inference(sat_conversion,[],[f6064]) ).
cnf(s204,plain,
( ~ spl54_53
| ~ spl54_114
| spl54_194 ),
inference(sat_conversion,[],[f6094]) ).
cnf(s214,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_112
| spl54_202 ),
inference(sat_conversion,[],[f6367]) ).
cnf(s229,plain,
spl54_217,
inference(sat_conversion,[],[f6724]) ).
cnf(s230,plain,
( ~ spl54_45
| ~ spl54_165
| spl54_218 ),
inference(sat_conversion,[],[f6738]) ).
cnf(s231,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| ~ spl54_194
| ~ spl54_202
| ~ spl54_219
| spl54_220 ),
inference(sat_conversion,[],[f6755]) ).
cnf(s249,plain,
( ~ spl54_29
| ~ spl54_30
| spl54_39
| ~ spl54_55
| ~ spl54_168 ),
inference(sat_conversion,[],[f6875]) ).
cnf(s326,plain,
( ~ spl54_1
| ~ spl54_19
| ~ spl54_22
| ~ spl54_34
| spl54_238 ),
inference(sat_conversion,[],[f9812]) ).
cnf(s327,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_4
| ~ spl54_38
| ~ spl54_99
| ~ spl54_172
| ~ spl54_173
| ~ spl54_238
| spl54_239
| spl54_240
| spl54_241
| spl54_242 ),
inference(sat_conversion,[],[f9899]) ).
cnf(s332,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_23
| ~ spl54_145
| ~ spl54_240 ),
inference(sat_conversion,[],[f10307]) ).
cnf(s333,plain,
( ~ spl54_10
| spl54_239
| ~ spl54_241 ),
inference(sat_conversion,[],[f10398]) ).
cnf(s335,plain,
( spl54_6
| ~ spl54_242
| ~ spl54_244 ),
inference(sat_conversion,[],[f11090]) ).
cnf(s374,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_23
| ~ spl54_276 ),
inference(sat_conversion,[],[f12546]) ).
cnf(s382,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_57
| ~ spl54_90
| ~ spl54_101
| ~ spl54_105
| ~ spl54_111
| ~ spl54_114
| spl54_284 ),
inference(sat_conversion,[],[f12701]) ).
cnf(s399,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_24
| ~ spl54_301 ),
inference(sat_conversion,[],[f13142]) ).
cnf(s404,plain,
spl54_306,
inference(sat_conversion,[],[f13291]) ).
cnf(s409,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_21
| ~ spl54_22
| ~ spl54_62
| ~ spl54_64
| ~ spl54_105
| ~ spl54_173
| ~ spl54_194
| ~ spl54_284
| spl54_310 ),
inference(sat_conversion,[],[f13585]) ).
cnf(s419,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_37
| ~ spl54_38
| ~ spl54_310
| spl54_311 ),
inference(sat_conversion,[],[f13794]) ).
cnf(s438,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| ~ spl54_37
| ~ spl54_239
| spl54_301
| ~ spl54_310 ),
inference(sat_conversion,[],[f14481]) ).
cnf(s459,plain,
( spl54_168
| spl54_323 ),
inference(sat_conversion,[],[f14816]) ).
cnf(s461,plain,
( ~ spl54_2
| ~ spl54_3
| ~ spl54_10
| ~ spl54_38
| ~ spl54_323
| spl54_325 ),
inference(sat_conversion,[],[f14922]) ).
cnf(s463,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| ~ spl54_194
| spl54_220
| ~ spl54_325
| ~ spl54_327 ),
inference(sat_conversion,[],[f14941]) ).
cnf(s540,plain,
( spl54_9
| ~ spl54_310
| ~ spl54_405 ),
inference(sat_conversion,[],[f16888]) ).
cnf(s541,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_5
| spl54_11
| ~ spl54_30
| ~ spl54_66
| spl54_405
| spl54_407 ),
inference(sat_conversion,[],[f16991]) ).
cnf(s595,plain,
( ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_190
| spl54_219
| ~ spl54_345 ),
inference(sat_conversion,[],[f19624]) ).
cnf(s597,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_11
| spl54_14
| ~ spl54_19
| ~ spl54_22
| ~ spl54_62
| ~ spl54_64
| ~ spl54_105
| ~ spl54_173
| ~ spl54_220
| spl54_276
| ~ spl54_284 ),
inference(sat_conversion,[],[f20689]) ).
cnf(s619,plain,
( ~ spl54_1
| ~ spl54_3
| spl54_14
| ~ spl54_64
| spl54_482 ),
inference(sat_conversion,[],[f23017]) ).
cnf(s671,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_37
| ~ spl54_38
| ~ spl54_311
| spl54_534 ),
inference(sat_conversion,[],[f25157]) ).
cnf(s890,plain,
( ~ spl54_1
| ~ spl54_2
| ~ spl54_3
| spl54_13
| spl54_14
| ~ spl54_21
| ~ spl54_24
| spl54_25
| spl54_26
| ~ spl54_30
| ~ spl54_38
| ~ spl54_66
| ~ spl54_80
| ~ spl54_172
| ~ spl54_218
| ~ spl54_238
| spl54_241
| spl54_244
| spl54_345
| spl54_405
| ~ spl54_407
| ~ spl54_534
| spl54_746 ),
inference(sat_conversion,[],[f36959]) ).
cnf(s892,plain,
( ~ spl54_1
| ~ spl54_3
| ~ spl54_30
| ~ spl54_105
| ~ spl54_112
| ~ spl54_194
| ~ spl54_482
| ~ spl54_746
| spl54_749 ),
inference(sat_conversion,[],[f37121]) ).
cnf(s893,plain,
( ~ spl54_1
| ~ spl54_30
| ~ spl54_38
| ~ spl54_88
| ~ spl54_105
| ~ spl54_114
| ~ spl54_217
| ~ spl54_306
| spl54_327
| ~ spl54_749 ),
inference(sat_conversion,[],[f37202]) ).
cnf(s928,plain,
~ spl54_168,
inference(rat,[],[s249,s30,s55,s39,s29]) ).
cnf(s932,plain,
spl54_128,
inference(rat,[],[s128,s34,s45,s29]) ).
cnf(s933,plain,
spl54_323,
inference(rat,[],[s459,s928]) ).
cnf(s940,plain,
spl54_91,
inference(rat,[],[s91,s29,s46,s27]) ).
cnf(s942,plain,
spl54_150,
inference(rat,[],[s148,s45,s940]) ).
cnf(s943,plain,
spl54_151,
inference(rat,[],[s149,s942,s45,s24]) ).
cnf(s944,plain,
spl54_129,
inference(rat,[],[s129,s932,s45,s24]) ).
cnf(s946,plain,
spl54_165,
inference(rat,[],[s163,s29,s46,s943]) ).
cnf(s948,plain,
spl54_130,
inference(rat,[],[s130,s46,s944]) ).
cnf(s949,plain,
spl54_218,
inference(rat,[],[s230,s45,s946]) ).
cnf(s1074,plain,
spl54_325,
inference(rat,[],[s461,s3,s933,s38,s10,s2]) ).
cnf(s1081,plain,
spl54_202,
inference(rat,[],[s214,s3,s112,s38,s10,s2]) ).
cnf(s1085,plain,
spl54_145,
inference(rat,[],[s144,s3,s38,s10,s8,s2]) ).
cnf(s1090,plain,
spl54_111,
inference(rat,[],[s111,s3,s85,s13,s2]) ).
cnf(s1094,plain,
spl54_101,
inference(rat,[],[s101,s3,s49,s13,s2]) ).
cnf(s1095,plain,
spl54_99,
inference(rat,[],[s99,s3,s38,s37,s10,s2]) ).
cnf(s1102,plain,
spl54_60,
inference(rat,[],[s60,s3,s41,s38,s10,s2]) ).
cnf(s1109,plain,
~ spl54_240,
inference(rat,[],[s332,s2,s3,s23,s1085]) ).
cnf(s1162,plain,
spl54_482,
inference(rat,[],[s619,s3,s64,s14,s1]) ).
cnf(s1182,plain,
~ spl54_301,
inference(rat,[],[s399,s3,s24,s1]) ).
cnf(s1191,plain,
~ spl54_276,
inference(rat,[],[s374,s2,s23,s1]) ).
cnf(s1195,plain,
spl54_238,
inference(rat,[],[s326,s19,s34,s22,s1]) ).
cnf(s1215,plain,
spl54_114,
inference(rat,[],[s114,s3,s85,s14,s1]) ).
cnf(s1218,plain,
spl54_105,
inference(rat,[],[s105,s3,s49,s14,s1]) ).
cnf(s1257,plain,
spl54_194,
inference(rat,[],[s204,s53,s1215]) ).
cnf(s1262,plain,
spl54_284,
inference(rat,[],[s382,s1215,s1,s1090,s1094,s2,s90,s57,s1218]) ).
cnf(s1303,plain,
spl54_173,
inference(rat,[],[s180,s188,s3,s11,s13,s14,s16,s17,s18,s19,s21,s22,s47,s66,s948,s943,s2,s1,s41]) ).
cnf(s1344,plain,
spl54_172,
inference(rat,[],[s171,s1102,s21,s22,s1303]) ).
cnf(s1348,plain,
~ spl54_220,
inference(rat,[],[s597,s1262,s1191,s1218,s1,s2,s64,s62,s22,s19,s14,s11,s3,s1303]) ).
cnf(s1351,plain,
spl54_310,
inference(rat,[],[s409,s1262,s1218,s1257,s1,s2,s64,s62,s22,s21,s19,s14,s11,s3,s1303]) ).
cnf(s1363,plain,
~ spl54_327,
inference(rat,[],[s463,s1257,s1074,s1,s3,s64,s14,s1348]) ).
cnf(s1364,plain,
~ spl54_219,
inference(rat,[],[s231,s1257,s1,s1081,s3,s64,s14,s1348]) ).
cnf(s1365,plain,
~ spl54_405,
inference(rat,[],[s540,s9,s1351]) ).
cnf(s1372,plain,
spl54_311,
inference(rat,[],[s419,s1,s2,s38,s37,s10,s3,s1351]) ).
cnf(s1379,plain,
~ spl54_239,
inference(rat,[],[s438,s1182,s1,s2,s37,s3,s1351]) ).
cnf(s1383,plain,
~ spl54_749,
inference(rat,[],[s893,s1218,s1215,s404,s229,s1,s30,s88,s38,s1363]) ).
cnf(s1385,plain,
~ spl54_345,
inference(rat,[],[s595,s1218,s1215,s200,s30,s38,s88,s1364]) ).
cnf(s1391,plain,
spl54_407,
inference(rat,[],[s541,s1,s2,s66,s30,s11,s5,s1365]) ).
cnf(s1400,plain,
spl54_534,
inference(rat,[],[s671,s1,s3,s38,s37,s1372]) ).
cnf(s1410,plain,
~ spl54_241,
inference(rat,[],[s333,s10,s1379]) ).
cnf(s1420,plain,
~ spl54_746,
inference(rat,[],[s892,s1257,s1218,s1162,s1,s112,s3,s30,s1383]) ).
cnf(s1445,plain,
spl54_244,
inference(rat,[],[s890,s1420,s1400,s1391,s1365,s1385,s1344,s1195,s1,s949,s2,s80,s66,s38,s30,s26,s25,s24,s21,s14,s13,s3,s1410]) ).
cnf(s1455,plain,
spl54_242,
inference(rat,[],[s327,s1379,s1303,s1109,s1344,s1195,s1,s1095,s2,s38,s4,s1410]) ).
cnf(s1467,plain,
$false,
inference(rat,[],[s335,s6,s1445,s1455]) ).
fof(f37206,plain,
$false,
inference(avatar_sat_refutation,[],[s1467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO312+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n026.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 08:06:26 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.57/2.73 % (2512738)Detected formulas, will run a generic FOF schedule.
% 12.57/2.73 % (2512743)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=1083137843:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.57/2.73 % (2512744)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=3252181548:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.57/2.73 % (2512746)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1585655911:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.57/2.73 % (2512748)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=340203030:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.57/2.73 % (2512747)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3926952684:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.57/2.73 % (2512745)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=4135640641:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.57/2.73 % (2512746)Refutation not found, incomplete strategy
% 12.57/2.73 % (2512746)------------------------------
% 12.57/2.73 % (2512746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.73 % (2512746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.73 % (2512746)CaDiCaL version: 2.1.3
% 12.57/2.73 % (2512746)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.73 % (2512746)Time elapsed: 0.009 s
% 12.57/2.73 % (2512746)Peak memory usage: 89 MB
% 12.57/2.73 % (2512746)Instructions burned: 14 (million)
% 12.57/2.73 % (2512749)dis-21_1_sil=8000:lcm=predicate:random_seed=1527170002: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)
% 12.57/2.73 % (2512747)Instruction limit reached!
% 12.57/2.73 % (2512747)------------------------------
% 12.57/2.73 % (2512747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.73 % (2512747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.73 % (2512747)CaDiCaL version: 2.1.3
% 12.57/2.73 % (2512747)Termination reason: Instruction limit
% 12.57/2.73 % (2512747)Termination phase: Saturation
% 12.57/2.73 % (2512747)Time elapsed: 0.062 s
% 12.57/2.73 % (2512747)Peak memory usage: 88 MB
% 12.57/2.73 % (2512747)Instructions burned: 121 (million)
% 12.57/2.73 % (2512748)Instruction limit reached!
% 12.57/2.73 % (2512748)------------------------------
% 12.57/2.73 % (2512748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.73 % (2512748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.73 % (2512748)CaDiCaL version: 2.1.3
% 12.57/2.73 % (2512748)Termination reason: Instruction limit
% 12.57/2.73 % (2512748)Termination phase: Saturation
% 12.57/2.73 % (2512748)Time elapsed: 0.086 s
% 12.57/2.73 % (2512748)Peak memory usage: 90 MB
% 12.57/2.73 % (2512748)Instructions burned: 139 (million)
% 12.57/2.73 % (2512749)Instruction limit reached!
% 12.57/2.73 % (2512749)------------------------------
% 12.57/2.73 % (2512749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.73 % (2512749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.73 % (2512749)CaDiCaL version: 2.1.3
% 12.57/2.73 % (2512749)Termination reason: Instruction limit
% 12.57/2.73 % (2512749)Termination phase: Saturation
% 12.57/2.73 % (2512749)Time elapsed: 0.071 s
% 12.57/2.73 % (2512749)Peak memory usage: 90 MB
% 12.57/2.73 % (2512749)Instructions burned: 130 (million)
% 12.57/2.73 % (2512757)lrs+10_1_sil=8000:sp=occurrence:random_seed=3983692616:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.57/2.73 % (2512758)lrs+10_1_sil=32000:urr=on:br=off:random_seed=492348008:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.57/2.73 % (2512759)lrs+1011_1_sil=32000:sp=occurrence:random_seed=535149508:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.57/2.73 % (2512746)------------------------------
% 12.57/2.73 % (2512746)------------------------------
% 12.57/2.73 % (2512758)Instruction limit reached!
% 12.57/2.73 % (2512758)------------------------------
% 12.57/2.73 % (2512758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.66 % (2512758)CaDiCaL version: 2.1.3
% 19.43/3.66 % (2512758)Termination reason: Instruction limit
% 19.43/3.66 % (2512758)Termination phase: Saturation
% 19.43/3.66 % (2512758)Time elapsed: 0.074 s
% 19.43/3.66 % (2512758)Peak memory usage: 90 MB
% 19.43/3.66 % (2512758)Instructions burned: 158 (million)
% 19.43/3.66 % (2512757)Instruction limit reached!
% 19.43/3.66 % (2512757)------------------------------
% 19.43/3.66 % (2512757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.66 % (2512757)CaDiCaL version: 2.1.3
% 19.43/3.66 % (2512757)Termination reason: Instruction limit
% 19.43/3.66 % (2512757)Termination phase: Saturation
% 19.43/3.66 % (2512757)Time elapsed: 0.146 s
% 19.43/3.66 % (2512757)Peak memory usage: 92 MB
% 19.43/3.66 % (2512757)Instructions burned: 285 (million)
% 19.43/3.66 % (2512763)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=766169555:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.43/3.66 % (2512759)Instruction limit reached!
% 19.43/3.66 % (2512759)------------------------------
% 19.43/3.66 % (2512759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.66 % (2512759)CaDiCaL version: 2.1.3
% 19.43/3.66 % (2512759)Termination reason: Instruction limit
% 19.43/3.66 % (2512759)Termination phase: Saturation
% 19.43/3.66 % (2512759)Time elapsed: 0.158 s
% 19.43/3.66 % (2512759)Peak memory usage: 90 MB
% 19.43/3.66 % (2512759)Instructions burned: 325 (million)
% 19.43/3.66 % (2512764)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1074259191:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.43/3.66 % (2512764)Refutation not found, incomplete strategy
% 19.43/3.66 % (2512764)------------------------------
% 19.43/3.66 % (2512764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.66 % (2512764)CaDiCaL version: 2.1.3
% 19.43/3.66 % (2512764)Termination reason: Refutation not found, incomplete strategy
% 19.43/3.66 % (2512764)Time elapsed: 0.019 s
% 19.43/3.66 % (2512764)Peak memory usage: 89 MB
% 19.43/3.66 % (2512764)Instructions burned: 35 (million)
% 19.43/3.66 % (2512765)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3585801156:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 19.43/3.66 % (2512763)Instruction limit reached!
% 19.43/3.66 % (2512763)------------------------------
% 19.43/3.66 % (2512763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.66 % (2512763)CaDiCaL version: 2.1.3
% 19.43/3.66 % (2512763)Termination reason: Instruction limit
% 19.43/3.66 % (2512763)Termination phase: Saturation
% 19.43/3.66 % (2512763)Time elapsed: 0.120 s
% 19.43/3.66 % (2512763)Peak memory usage: 90 MB
% 19.43/3.66 % (2512763)Instructions burned: 250 (million)
% 19.43/3.66 % (2512767)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2650641802:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.43/3.66 % (2512767)Instruction limit reached!
% 19.43/3.66 % (2512767)------------------------------
% 19.43/3.66 % (2512767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.43/3.66 % (2512767)CaDiCaL version: 2.1.3
% 19.43/3.66 % (2512767)Termination reason: Instruction limit
% 19.43/3.66 % (2512767)Termination phase: Saturation
% 19.43/3.66 % (2512767)Time elapsed: 0.058 s
% 19.43/3.66 % (2512767)Peak memory usage: 90 MB
% 19.43/3.66 % (2512767)Instructions burned: 113 (million)
% 19.43/3.66 % (2512770)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1436965952:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.43/3.66 % (2512770)Refutation not found, incomplete strategy
% 19.43/3.66 % (2512770)------------------------------
% 19.43/3.66 % (2512770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.43/3.66 % (2512770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.90 % (2512770)CaDiCaL version: 2.1.3
% 35.89/5.90 % (2512770)Termination reason: Refutation not found, incomplete strategy
% 35.89/5.90 % (2512770)Time elapsed: 0.021 s
% 35.89/5.90 % (2512770)Peak memory usage: 89 MB
% 35.89/5.90 % (2512770)Instructions burned: 42 (million)
% 35.89/5.90 % (2512764)------------------------------
% 35.89/5.90 % (2512764)------------------------------
% 35.89/5.90 % (2512772)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2122972099:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 35.89/5.90 % (2512772)Instruction limit reached!
% 35.89/5.90 % (2512772)------------------------------
% 35.89/5.90 % (2512772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.89/5.90 % (2512772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.90 % (2512772)CaDiCaL version: 2.1.3
% 35.89/5.90 % (2512772)Termination reason: Instruction limit
% 35.89/5.90 % (2512772)Termination phase: Saturation
% 35.89/5.90 % (2512772)Time elapsed: 0.048 s
% 35.89/5.90 % (2512772)Peak memory usage: 89 MB
% 35.89/5.90 % (2512772)Instructions burned: 117 (million)
% 35.89/5.90 % (2512774)lrs+10_1_sil=8000:sp=occurrence:random_seed=1810403654:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 35.89/5.90 % (2512776)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2165619893:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 35.89/5.90 % (2512770)------------------------------
% 35.89/5.90 % (2512770)------------------------------
% 35.89/5.90 % (2512776)Refutation not found, incomplete strategy
% 35.89/5.90 % (2512776)------------------------------
% 35.89/5.90 % (2512776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.89/5.90 % (2512776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.90 % (2512776)CaDiCaL version: 2.1.3
% 35.89/5.90 % (2512776)Termination reason: Refutation not found, incomplete strategy
% 35.89/5.90 % (2512776)Time elapsed: 0.018 s
% 35.89/5.90 % (2512776)Peak memory usage: 89 MB
% 35.89/5.90 % (2512776)Instructions burned: 32 (million)
% 35.89/5.90 % (2512779)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1840952716:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 35.89/5.90 % (2512776)------------------------------
% 35.89/5.90 % (2512776)------------------------------
% 35.89/5.90 % (2512781)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1817898816:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 35.89/5.90 % (2512774)Instruction limit reached!
% 35.89/5.90 % (2512774)------------------------------
% 35.89/5.90 % (2512774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.89/5.90 % (2512774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.90 % (2512774)CaDiCaL version: 2.1.3
% 35.89/5.90 % (2512774)Termination reason: Instruction limit
% 35.89/5.90 % (2512774)Termination phase: Saturation
% 35.89/5.90 % (2512774)Time elapsed: 0.457 s
% 35.89/5.90 % (2512774)Peak memory usage: 96 MB
% 35.89/5.90 % (2512774)Instructions burned: 908 (million)
% 35.89/5.90 % (2512781)Instruction limit reached!
% 35.89/5.90 % (2512781)------------------------------
% 35.89/5.90 % (2512781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.89/5.90 % (2512781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.90 % (2512781)CaDiCaL version: 2.1.3
% 35.89/5.90 % (2512781)Termination reason: Instruction limit
% 35.89/5.90 % (2512781)Termination phase: Saturation
% 35.89/5.90 % (2512781)Time elapsed: 0.066 s
% 35.89/5.90 % (2512781)Peak memory usage: 93 MB
% 35.89/5.90 % (2512781)Instructions burned: 134 (million)
% 35.89/5.90 % (2512783)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2937600264:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 35.89/5.90 % (2512784)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1448853535:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 35.89/5.90 % (2512783)Instruction limit reached!
% 35.89/5.90 % (2512783)------------------------------
% 35.89/5.90 % (2512783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.89/5.90 % (2512783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.89/5.90 % (2512783)CaDiCaL version: 2.1.3
% 35.89/5.90 % (2512783)Termination reason: Instruction limit
% 35.89/5.90 % (2512783)Termination phase: Saturation
% 35.89/5.90 % (2512783)Time elapsed: 0.310 s
% 65.35/10.06 % (2512783)Peak memory usage: 95 MB
% 65.35/10.06 % (2512783)Instructions burned: 594 (million)
% 65.35/10.06 % (2512787)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=928917943:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 65.35/10.06 % (2512787)Instruction limit reached!
% 65.35/10.06 % (2512787)------------------------------
% 65.35/10.06 % (2512787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.35/10.06 % (2512787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.35/10.06 % (2512787)CaDiCaL version: 2.1.3
% 65.35/10.06 % (2512787)Termination reason: Instruction limit
% 65.35/10.06 % (2512787)Termination phase: Saturation
% 65.35/10.06 % (2512787)Time elapsed: 0.063 s
% 65.35/10.06 % (2512787)Peak memory usage: 91 MB
% 65.35/10.06 % (2512787)Instructions burned: 126 (million)
% 65.35/10.06 % (2512765)Instruction limit reached!
% 65.35/10.06 % (2512765)------------------------------
% 65.35/10.06 % (2512765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.35/10.06 % (2512765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.35/10.06 % (2512765)CaDiCaL version: 2.1.3
% 65.35/10.06 % (2512765)Termination reason: Instruction limit
% 65.35/10.06 % (2512765)Termination phase: Saturation
% 65.35/10.06 % (2512765)Time elapsed: 1.484 s
% 65.35/10.06 % (2512765)Peak memory usage: 141 MB
% 65.35/10.06 % (2512765)Instructions burned: 2350 (million)
% 65.35/10.06 % (2512789)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=391690468:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 65.35/10.06 % (2512790)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4244829607:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 65.35/10.06 % (2512790)Refutation not found, incomplete strategy
% 65.35/10.06 % (2512790)------------------------------
% 65.35/10.06 % (2512790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.35/10.06 % (2512790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.35/10.06 % (2512790)CaDiCaL version: 2.1.3
% 65.35/10.06 % (2512790)Termination reason: Refutation not found, incomplete strategy
% 65.35/10.06 % (2512790)Time elapsed: 0.013 s
% 65.35/10.06 % (2512790)Peak memory usage: 89 MB
% 65.35/10.06 % (2512790)Instructions burned: 26 (million)
% 65.35/10.06 % (2512789)Instruction limit reached!
% 65.35/10.06 % (2512789)------------------------------
% 65.35/10.06 % (2512789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.35/10.06 % (2512789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.35/10.06 % (2512789)CaDiCaL version: 2.1.3
% 65.35/10.06 % (2512789)Termination reason: Instruction limit
% 65.35/10.06 % (2512789)Termination phase: Saturation
% 65.35/10.06 % (2512789)Time elapsed: 0.077 s
% 65.35/10.06 % (2512789)Peak memory usage: 91 MB
% 65.35/10.06 % (2512789)Instructions burned: 135 (million)
% 65.35/10.06 % (2512793)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2730844676:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 65.35/10.06 % (2512793)Refutation not found, incomplete strategy
% 65.35/10.06 % (2512793)------------------------------
% 65.35/10.06 % (2512793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 65.35/10.06 % (2512793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.35/10.06 % (2512793)CaDiCaL version: 2.1.3
% 65.35/10.06 % (2512793)Termination reason: Refutation not found, incomplete strategy
% 65.35/10.06 % (2512793)Time elapsed: 0.007 s
% 65.35/10.06 % (2512793)Peak memory usage: 88 MB
% 65.35/10.06 % (2512793)Instructions burned: 11 (million)
% 65.35/10.06 % (2512790)------------------------------
% 65.35/10.06 % (2512790)------------------------------
% 65.35/10.06 % (2512795)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=238510688:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 65.35/10.06 % (2512793)------------------------------
% 65.35/10.06 % (2512793)------------------------------
% 65.35/10.06 % (2512797)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=4038606558:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 98.81/14.81 % (2512797)Instruction limit reached!
% 98.81/14.81 % (2512797)------------------------------
% 98.81/14.81 % (2512797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.81/14.81 % (2512797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.81/14.81 % (2512797)CaDiCaL version: 2.1.3
% 98.81/14.81 % (2512797)Termination reason: Instruction limit
% 98.81/14.81 % (2512797)Termination phase: Saturation
% 98.81/14.81 % (2512797)Time elapsed: 0.077 s
% 98.81/14.81 % (2512797)Peak memory usage: 92 MB
% 98.81/14.81 % (2512797)Instructions burned: 151 (million)
% 98.81/14.81 % (2512799)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=546217355:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 98.81/14.81 % (2512779)Instruction limit reached!
% 98.81/14.81 % (2512779)------------------------------
% 98.81/14.81 % (2512779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.81/14.81 % (2512779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.81/14.81 % (2512779)CaDiCaL version: 2.1.3
% 98.81/14.81 % (2512779)Termination reason: Instruction limit
% 98.81/14.81 % (2512779)Termination phase: Saturation
% 98.81/14.81 % (2512779)Time elapsed: 2.876 s
% 98.81/14.81 % (2512779)Peak memory usage: 146 MB
% 98.81/14.81 % (2512779)Instructions burned: 5204 (million)
% 98.81/14.81 % (2512801)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=763095257:i=667:av=off:fsr=off_2959 on theBenchmark for (2959ds/667Mi)
% 98.81/14.81 % (2512801)Refutation not found, incomplete strategy
% 98.81/14.81 % (2512801)------------------------------
% 98.81/14.81 % (2512801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.81/14.81 % (2512801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.81/14.81 % (2512801)CaDiCaL version: 2.1.3
% 98.81/14.81 % (2512801)Termination reason: Refutation not found, incomplete strategy
% 98.81/14.81 % (2512801)Time elapsed: 0.022 s
% 98.81/14.81 % (2512801)Peak memory usage: 89 MB
% 98.81/14.81 % (2512801)Instructions burned: 44 (million)
% 98.81/14.81 % (2512801)------------------------------
% 98.81/14.81 % (2512801)------------------------------
% 98.81/14.81 % (2512803)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=314798472:s2a=on:i=185:s2at=1.8:fdi=4_2955 on theBenchmark for (2955ds/185Mi)
% 98.81/14.81 % (2512803)Instruction limit reached!
% 98.81/14.81 % (2512803)------------------------------
% 98.81/14.81 % (2512803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.81/14.81 % (2512803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.81/14.81 % (2512803)CaDiCaL version: 2.1.3
% 98.81/14.81 % (2512803)Termination reason: Instruction limit
% 98.81/14.81 % (2512803)Termination phase: Saturation
% 98.81/14.81 % (2512803)Time elapsed: 0.095 s
% 98.81/14.81 % (2512803)Peak memory usage: 93 MB
% 98.81/14.81 % (2512803)Instructions burned: 185 (million)
% 98.81/14.81 % (2512805)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4244109567:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2953 on theBenchmark for (2953ds/193Mi)
% 98.81/14.81 % (2512805)Instruction limit reached!
% 98.81/14.81 % (2512805)------------------------------
% 98.81/14.81 % (2512805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.81/14.81 % (2512805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.81/14.81 % (2512805)CaDiCaL version: 2.1.3
% 98.81/14.81 % (2512805)Termination reason: Instruction limit
% 98.81/14.81 % (2512805)Termination phase: Saturation
% 98.81/14.81 % (2512805)Time elapsed: 0.105 s
% 98.81/14.81 % (2512805)Peak memory usage: 91 MB
% 98.81/14.81 % (2512805)Instructions burned: 194 (million)
% 98.81/14.81 % (2512807)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3867688275:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2951 on theBenchmark for (2951ds/4850Mi)
% 98.81/14.81 % (2512807)Refutation not found, incomplete strategy
% 98.81/14.81 % (2512807)------------------------------
% 98.81/14.81 % (2512807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 98.81/14.81 % (2512807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 98.81/14.81 % (2512807)CaDiCaL version: 2.1.3
% 98.81/14.81 % (2512807)Termination reason: Refutation not found, incomplete strategy
% 98.81/14.81 % (2512807)Time elapsed: 0.017 s
% 98.81/14.81 % (2512807)Peak memory usage: 89 MB
% 125.29/18.59 % (2512807)Instructions burned: 32 (million)
% 125.29/18.59 % (2512807)------------------------------
% 125.29/18.59 % (2512807)------------------------------
% 125.29/18.59 % (2512809)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1175285600:i=12111:sd=1:ss=included_2947 on theBenchmark for (2947ds/12111Mi)
% 125.29/18.59 % (2512795)Instruction limit reached!
% 125.29/18.59 % (2512795)------------------------------
% 125.29/18.59 % (2512795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.29/18.59 % (2512795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.29/18.59 % (2512795)CaDiCaL version: 2.1.3
% 125.29/18.59 % (2512795)Termination reason: Instruction limit
% 125.29/18.59 % (2512795)Termination phase: Saturation
% 125.29/18.59 % (2512795)Time elapsed: 3.045 s
% 125.29/18.59 % (2512795)Peak memory usage: 141 MB
% 125.29/18.59 % (2512795)Instructions burned: 6060 (million)
% 125.29/18.59 % (2512811)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2930626792:i=319:kws=precedence:fsr=off_2943 on theBenchmark for (2943ds/319Mi)
% 125.29/18.59 % (2512811)Instruction limit reached!
% 125.29/18.59 % (2512811)------------------------------
% 125.29/18.59 % (2512811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.29/18.59 % (2512811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.29/18.59 % (2512811)CaDiCaL version: 2.1.3
% 125.29/18.59 % (2512811)Termination reason: Instruction limit
% 125.29/18.59 % (2512811)Termination phase: Saturation
% 125.29/18.59 % (2512811)Time elapsed: 0.163 s
% 125.29/18.59 % (2512811)Peak memory usage: 95 MB
% 125.29/18.59 % (2512811)Instructions burned: 319 (million)
% 125.29/18.59 % (2512813)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=580944137:i=2064:ep=RST_2939 on theBenchmark for (2939ds/2064Mi)
% 125.29/18.59 % (2512813)Instruction limit reached!
% 125.29/18.59 % (2512813)------------------------------
% 125.29/18.59 % (2512813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.29/18.59 % (2512813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.29/18.59 % (2512813)CaDiCaL version: 2.1.3
% 125.29/18.59 % (2512813)Termination reason: Instruction limit
% 125.29/18.59 % (2512813)Termination phase: Saturation
% 125.29/18.59 % (2512813)Time elapsed: 0.959 s
% 125.29/18.59 % (2512813)Peak memory usage: 96 MB
% 125.29/18.59 % (2512813)Instructions burned: 2065 (million)
% 125.29/18.59 % (2512815)dis-1011_128_sil=32000:random_seed=791313552:i=3706:ep=RST:av=off_2928 on theBenchmark for (2928ds/3706Mi)
% 125.29/18.59 % (2512815)Instruction limit reached!
% 125.29/18.59 % (2512815)------------------------------
% 125.29/18.59 % (2512815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.29/18.59 % (2512815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.29/18.59 % (2512815)CaDiCaL version: 2.1.3
% 125.29/18.59 % (2512815)Termination reason: Instruction limit
% 125.29/18.59 % (2512815)Termination phase: Saturation
% 125.29/18.59 % (2512815)Time elapsed: 1.251 s
% 125.29/18.59 % (2512815)Peak memory usage: 89 MB
% 125.29/18.59 % (2512815)Instructions burned: 3707 (million)
% 125.29/18.59 % (2512817)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3269133456:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2915 on theBenchmark for (2915ds/757Mi)
% 125.29/18.59 % (2512784)Instruction limit reached!
% 125.29/18.59 % (2512784)------------------------------
% 125.29/18.59 % (2512784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.29/18.59 % (2512784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.29/18.59 % (2512784)CaDiCaL version: 2.1.3
% 125.29/18.59 % (2512784)Termination reason: Instruction limit
% 125.29/18.59 % (2512784)Termination phase: Saturation
% 125.29/18.59 % (2512784)Time elapsed: 7.445 s
% 125.29/18.59 % (2512784)Peak memory usage: 179 MB
% 125.29/18.59 % (2512784)Instructions burned: 13193 (million)
% 125.29/18.59 % (2512817)Instruction limit reached!
% 125.29/18.59 % (2512817)------------------------------
% 125.29/18.59 % (2512817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 125.29/18.59 % (2512817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 125.29/18.59 % (2512817)CaDiCaL version: 2.1.3
% 125.29/18.59 % (2512817)Termination reason: Instruction limit
% 125.29/18.59 % (2512817)Termination phase: Saturation
% 125.29/18.59 % (2512817)Time elapsed: 0.457 s
% 125.29/18.59 % (2512817)Peak memory usage: 97 MB
% 125.29/18.59 % (2512817)Instructions burned: 758 (million)
% 125.29/18.59 % (2512819)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1799119995:i=13913:ss=axioms:sgt=8_2909 on theBenchmark for (2909ds/13913Mi)
% 148.14/21.70 % (2512820)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=372168047:i=9925:aac=none_2909 on theBenchmark for (2909ds/9925Mi)
% 148.14/21.70 % (2512799)Instruction limit reached!
% 148.14/21.70 % (2512799)------------------------------
% 148.14/21.70 % (2512799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.14/21.70 % (2512799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.14/21.70 % (2512799)CaDiCaL version: 2.1.3
% 148.14/21.70 % (2512799)Termination reason: Instruction limit
% 148.14/21.70 % (2512799)Termination phase: Saturation
% 148.14/21.70 % (2512799)Time elapsed: 7.063 s
% 148.14/21.70 % (2512799)Peak memory usage: 157 MB
% 148.14/21.70 % (2512799)Instructions burned: 14157 (million)
% 148.14/21.70 % (2512823)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2347074111:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2899 on theBenchmark for (2899ds/2479Mi)
% 148.14/21.70 % (2512823)Refutation not found, incomplete strategy
% 148.14/21.70 % (2512823)------------------------------
% 148.14/21.70 % (2512823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.14/21.70 % (2512823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.14/21.70 % (2512823)CaDiCaL version: 2.1.3
% 148.14/21.70 % (2512823)Termination reason: Refutation not found, incomplete strategy
% 148.14/21.70 % (2512823)Time elapsed: 0.015 s
% 148.14/21.70 % (2512823)Peak memory usage: 89 MB
% 148.14/21.70 % (2512823)Instructions burned: 26 (million)
% 148.14/21.70 % (2512823)------------------------------
% 148.14/21.70 % (2512823)------------------------------
% 148.14/21.70 % (2512825)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1024179932:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2895 on theBenchmark for (2895ds/440Mi)
% 148.14/21.70 % (2512825)Instruction limit reached!
% 148.14/21.70 % (2512825)------------------------------
% 148.14/21.70 % (2512825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.14/21.70 % (2512825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.14/21.70 % (2512825)CaDiCaL version: 2.1.3
% 148.14/21.70 % (2512825)Termination reason: Instruction limit
% 148.14/21.70 % (2512825)Termination phase: Saturation
% 148.14/21.70 % (2512825)Time elapsed: 0.234 s
% 148.14/21.70 % (2512825)Peak memory usage: 92 MB
% 148.14/21.70 % (2512825)Instructions burned: 441 (million)
% 148.14/21.70 % (2512827)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3342012251:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2891 on theBenchmark for (2891ds/11145Mi)
% 148.14/21.70 % (2512809)Instruction limit reached!
% 148.14/21.70 % (2512809)------------------------------
% 148.14/21.70 % (2512809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.14/21.70 % (2512809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.14/21.70 % (2512809)CaDiCaL version: 2.1.3
% 148.14/21.70 % (2512809)Termination reason: Instruction limit
% 148.14/21.70 % (2512809)Termination phase: Saturation
% 148.14/21.70 % (2512809)Time elapsed: 6.327 s
% 148.14/21.70 % (2512809)Peak memory usage: 217 MB
% 148.14/21.70 % (2512809)Instructions burned: 12112 (million)
% 148.14/21.70 % (2512829)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=1725588342:cts=off:i=3034:av=off:er=known:fsd=on_2882 on theBenchmark for (2882ds/3034Mi)
% 148.14/21.70 % (2512829)Instruction limit reached!
% 148.14/21.70 % (2512829)------------------------------
% 148.14/21.70 % (2512829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 148.14/21.70 % (2512829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.14/21.70 % (2512829)CaDiCaL version: 2.1.3
% 148.14/21.70 % (2512829)Termination reason: Instruction limit
% 148.14/21.70 % (2512829)Termination phase: Saturation
% 148.14/21.70 % (2512829)Time elapsed: 1.677 s
% 148.14/21.70 % (2512829)Peak memory usage: 135 MB
% 148.14/21.70 % (2512829)Instructions burned: 3035 (million)
% 148.14/21.70 % (2512831)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2611364473:st=2:s2a=on:i=524:s2at=2:ss=axioms_2864 on theBenchmark for (2864ds/524Mi)
% 148.14/21.70 % (2512831)Instruction limit reached!
% 148.14/21.70 % (2512831)------------------------------
% 148.14/21.70 % (2512831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.34/24.17 % (2512831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.34/24.17 % (2512831)CaDiCaL version: 2.1.3
% 165.34/24.17 % (2512831)Termination reason: Instruction limit
% 165.34/24.17 % (2512831)Termination phase: Saturation
% 165.34/24.17 % (2512831)Time elapsed: 0.240 s
% 165.34/24.17 % (2512831)Peak memory usage: 91 MB
% 165.34/24.17 % (2512831)Instructions burned: 526 (million)
% 165.34/24.17 % (2512833)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3677438884:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2860 on theBenchmark for (2860ds/1016Mi)
% 165.34/24.17 % (2512820)Instruction limit reached!
% 165.34/24.17 % (2512820)------------------------------
% 165.34/24.17 % (2512820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.34/24.17 % (2512820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.34/24.17 % (2512820)CaDiCaL version: 2.1.3
% 165.34/24.17 % (2512820)Termination reason: Instruction limit
% 165.34/24.17 % (2512820)Termination phase: Saturation
% 165.34/24.17 % (2512820)Time elapsed: 4.928 s
% 165.34/24.17 % (2512820)Peak memory usage: 183 MB
% 165.34/24.17 % (2512820)Instructions burned: 9927 (million)
% 165.34/24.17 % (2512835)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1391380461:i=14123:bd=preordered:ins=4_2858 on theBenchmark for (2858ds/14123Mi)
% 165.34/24.17 % (2512833)Instruction limit reached!
% 165.34/24.17 % (2512833)------------------------------
% 165.34/24.17 % (2512833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.34/24.17 % (2512833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.34/24.17 % (2512833)CaDiCaL version: 2.1.3
% 165.34/24.17 % (2512833)Termination reason: Instruction limit
% 165.34/24.17 % (2512833)Termination phase: Saturation
% 165.34/24.17 % (2512833)Time elapsed: 0.458 s
% 165.34/24.17 % (2512833)Peak memory usage: 94 MB
% 165.34/24.17 % (2512833)Instructions burned: 1017 (million)
% 165.34/24.17 % (2512837)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3277192919:i=5781:kws=precedence:bd=all:rawr=on_2854 on theBenchmark for (2854ds/5781Mi)
% 165.34/24.17 % (2512819)Instruction limit reached!
% 165.34/24.17 % (2512819)------------------------------
% 165.34/24.17 % (2512819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.34/24.17 % (2512819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.34/24.17 % (2512819)CaDiCaL version: 2.1.3
% 165.34/24.17 % (2512819)Termination reason: Instruction limit
% 165.34/24.17 % (2512819)Termination phase: Saturation
% 165.34/24.17 % (2512819)Time elapsed: 7.394 s
% 165.34/24.17 % (2512819)Peak memory usage: 184 MB
% 165.34/24.17 % (2512819)Instructions burned: 13913 (million)
% 165.34/24.17 % (2512839)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=3090906301:i=2448:gtgl=5:bd=preordered:gtg=all_2833 on theBenchmark for (2833ds/2448Mi)
% 165.34/24.17 % (2512827)Instruction limit reached!
% 165.34/24.17 % (2512827)------------------------------
% 165.34/24.17 % (2512827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.34/24.17 % (2512827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.34/24.17 % (2512827)CaDiCaL version: 2.1.3
% 165.34/24.17 % (2512827)Termination reason: Instruction limit
% 165.34/24.17 % (2512827)Termination phase: Saturation
% 165.34/24.17 % (2512827)Time elapsed: 6.522 s
% 165.34/24.17 % (2512827)Peak memory usage: 168 MB
% 165.34/24.17 % (2512827)Instructions burned: 11146 (million)
% 165.34/24.17 % (2512837)Instruction limit reached!
% 165.34/24.17 % (2512837)------------------------------
% 165.34/24.17 % (2512837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 165.34/24.17 % (2512837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 165.34/24.17 % (2512837)CaDiCaL version: 2.1.3
% 165.34/24.17 % (2512837)Termination reason: Instruction limit
% 165.34/24.17 % (2512837)Termination phase: Saturation
% 165.34/24.17 % (2512837)Time elapsed: 2.904 s
% 165.34/24.17 % (2512837)Peak memory usage: 130 MB
% 165.34/24.17 % (2512837)Instructions burned: 5783 (million)
% 165.34/24.17 % (2512841)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2346653729:i=3223:kws=precedence:fgj=on:av=off_2825 on theBenchmark for (2825ds/3223Mi)
% 165.34/24.17 % (2512842)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2770978583:st=5.6:i=2033:sd=3:ss=axioms_2824 on theBenchmark for (2824ds/2033Mi)
% 206.00/30.02 % (2512839)Instruction limit reached!
% 206.00/30.02 % (2512839)------------------------------
% 206.00/30.02 % (2512839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.00/30.02 % (2512839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.00/30.02 % (2512839)CaDiCaL version: 2.1.3
% 206.00/30.02 % (2512839)Termination reason: Instruction limit
% 206.00/30.02 % (2512839)Termination phase: Saturation
% 206.00/30.02 % (2512839)Time elapsed: 1.379 s
% 206.00/30.02 % (2512839)Peak memory usage: 136 MB
% 206.00/30.02 % (2512839)Instructions burned: 2449 (million)
% 206.00/30.02 % (2512845)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=913580763:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2818 on theBenchmark for (2818ds/2055Mi)
% 206.00/30.02 % (2512842)Refutation not found, incomplete strategy
% 206.00/30.02 % (2512842)------------------------------
% 206.00/30.02 % (2512842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.00/30.02 % (2512842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.00/30.02 % (2512842)CaDiCaL version: 2.1.3
% 206.00/30.02 % (2512842)Termination reason: Refutation not found, incomplete strategy
% 206.00/30.02 % (2512842)Time elapsed: 0.643 s
% 206.00/30.02 % (2512842)Peak memory usage: 134 MB
% 206.00/30.02 % (2512842)Instructions burned: 976 (million)
% 206.00/30.02 % (2512842)------------------------------
% 206.00/30.02 % (2512842)------------------------------
% 206.00/30.02 % (2512847)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=2885991466:i=21611:sd=3:ss=axioms_2813 on theBenchmark for (2813ds/21611Mi)
% 206.00/30.02 % (2512845)Instruction limit reached!
% 206.00/30.02 % (2512845)------------------------------
% 206.00/30.02 % (2512845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.00/30.02 % (2512845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.00/30.02 % (2512845)CaDiCaL version: 2.1.3
% 206.00/30.02 % (2512845)Termination reason: Instruction limit
% 206.00/30.02 % (2512845)Termination phase: Saturation
% 206.00/30.02 % (2512845)Time elapsed: 1.180 s
% 206.00/30.02 % (2512845)Peak memory usage: 134 MB
% 206.00/30.02 % (2512845)Instructions burned: 2057 (million)
% 206.00/30.02 % (2512849)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=3499284031:i=4835:sd=13:ss=axioms:sgt=23_2805 on theBenchmark for (2805ds/4835Mi)
% 206.00/30.02 % (2512841)Instruction limit reached!
% 206.00/30.02 % (2512841)------------------------------
% 206.00/30.02 % (2512841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.00/30.02 % (2512841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.00/30.02 % (2512841)CaDiCaL version: 2.1.3
% 206.00/30.02 % (2512841)Termination reason: Instruction limit
% 206.00/30.02 % (2512841)Termination phase: Saturation
% 206.00/30.02 % (2512841)Time elapsed: 2.040 s
% 206.00/30.02 % (2512841)Peak memory usage: 143 MB
% 206.00/30.02 % (2512841)Instructions burned: 3223 (million)
% 206.00/30.02 % (2512851)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=1071303742:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2803 on theBenchmark for (2803ds/797Mi)
% 206.00/30.02 % (2512851)Instruction limit reached!
% 206.00/30.02 % (2512851)------------------------------
% 206.00/30.02 % (2512851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.00/30.02 % (2512851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.00/30.02 % (2512851)CaDiCaL version: 2.1.3
% 206.00/30.02 % (2512851)Termination reason: Instruction limit
% 206.00/30.02 % (2512851)Termination phase: Saturation
% 206.00/30.02 % (2512851)Time elapsed: 0.284 s
% 206.00/30.02 % (2512851)Peak memory usage: 89 MB
% 206.00/30.02 % (2512851)Instructions burned: 797 (million)
% 206.00/30.02 % (2512853)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3916707110:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2799 on theBenchmark for (2799ds/2326Mi)
% 206.00/30.02 % (2512835)Instruction limit reached!
% 206.00/30.02 % (2512835)------------------------------
% 206.00/30.02 % (2512835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 206.00/30.02 % (2512835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 206.00/30.02 % (2512835)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512835)Termination reason: Instruction limit
% 116.79/35.35 % (2512835)Termination phase: Saturation
% 116.79/35.35 % (2512835)Time elapsed: 6.574 s
% 116.79/35.35 % (2512835)Peak memory usage: 157 MB
% 116.79/35.35 % (2512835)Instructions burned: 14123 (million)
% 116.79/35.35 % (2512855)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1313891154:i=6038:nm=6_2791 on theBenchmark for (2791ds/6038Mi)
% 116.79/35.35 % (2512853)Instruction limit reached!
% 116.79/35.35 % (2512853)------------------------------
% 116.79/35.35 % (2512853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512853)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512853)Termination reason: Instruction limit
% 116.79/35.35 % (2512853)Termination phase: Saturation
% 116.79/35.35 % (2512853)Time elapsed: 0.984 s
% 116.79/35.35 % (2512853)Peak memory usage: 93 MB
% 116.79/35.35 % (2512853)Instructions burned: 2329 (million)
% 116.79/35.35 % (2512857)lrs+10_1_sil=32000:sp=occurrence:random_seed=1276071776:st=2:i=33334:sd=3:ss=included:sgt=32_2787 on theBenchmark for (2787ds/33334Mi)
% 116.79/35.35 % (2512855)Refutation not found, incomplete strategy
% 116.79/35.35 % (2512855)------------------------------
% 116.79/35.35 % (2512855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512855)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512855)Termination reason: Refutation not found, incomplete strategy
% 116.79/35.35 % (2512855)Time elapsed: 0.624 s
% 116.79/35.35 % (2512855)Peak memory usage: 134 MB
% 116.79/35.35 % (2512855)Instructions burned: 947 (million)
% 116.79/35.35 % (2512855)------------------------------
% 116.79/35.35 % (2512855)------------------------------
% 116.79/35.35 % (2512849)Instruction limit reached!
% 116.79/35.35 % (2512849)------------------------------
% 116.79/35.35 % (2512849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512849)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512849)Termination reason: Instruction limit
% 116.79/35.35 % (2512849)Termination phase: Saturation
% 116.79/35.35 % (2512849)Time elapsed: 2.355 s
% 116.79/35.35 % (2512849)Peak memory usage: 103 MB
% 116.79/35.35 % (2512849)Instructions burned: 4835 (million)
% 116.79/35.35 % (2512859)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=611427616:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2781 on theBenchmark for (2781ds/1008Mi)
% 116.79/35.35 % (2512860)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=3954002835:i=8327:s2at=5:bd=preordered_2780 on theBenchmark for (2780ds/8327Mi)
% 116.79/35.35 % (2512859)Instruction limit reached!
% 116.79/35.35 % (2512859)------------------------------
% 116.79/35.35 % (2512859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512859)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512859)Termination reason: Instruction limit
% 116.79/35.35 % (2512859)Termination phase: Saturation
% 116.79/35.35 % (2512859)Time elapsed: 0.548 s
% 116.79/35.35 % (2512859)Peak memory usage: 135 MB
% 116.79/35.35 % (2512859)Instructions burned: 1009 (million)
% 116.79/35.35 % (2512863)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=2946709977:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2774 on theBenchmark for (2774ds/1083Mi)
% 116.79/35.35 % (2512863)Instruction limit reached!
% 116.79/35.35 % (2512863)------------------------------
% 116.79/35.35 % (2512863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512863)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512863)Termination reason: Instruction limit
% 116.79/35.35 % (2512863)Termination phase: Saturation
% 116.79/35.35 % (2512863)Time elapsed: 0.521 s
% 116.79/35.35 % (2512863)Peak memory usage: 122 MB
% 116.79/35.35 % (2512863)Instructions burned: 1084 (million)
% 116.79/35.35 % (2512865)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=1446477758:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2768 on theBenchmark for (2768ds/1084Mi)
% 116.79/35.35 % (2512865)Instruction limit reached!
% 116.79/35.35 % (2512865)------------------------------
% 116.79/35.35 % (2512865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512865)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512865)Termination reason: Instruction limit
% 116.79/35.35 % (2512865)Termination phase: Saturation
% 116.79/35.35 % (2512865)Time elapsed: 0.520 s
% 116.79/35.35 % (2512865)Peak memory usage: 101 MB
% 116.79/35.35 % (2512865)Instructions burned: 1085 (million)
% 116.79/35.35 % (2512867)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1458924009:i=6995:s2at=5:gtg=all_2761 on theBenchmark for (2761ds/6995Mi)
% 116.79/35.35 % (2512860)Instruction limit reached!
% 116.79/35.35 % (2512860)------------------------------
% 116.79/35.35 % (2512860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512860)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512860)Termination reason: Instruction limit
% 116.79/35.35 % (2512860)Termination phase: Saturation
% 116.79/35.35 % (2512860)Time elapsed: 4.664 s
% 116.79/35.35 % (2512860)Peak memory usage: 159 MB
% 116.79/35.35 % (2512860)Instructions burned: 8327 (million)
% 116.79/35.35 % (2512869)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=936046123:st=2:i=6225:sd=15:ss=axioms_2732 on theBenchmark for (2732ds/6225Mi)
% 116.79/35.35 % (2512869)Refutation not found, incomplete strategy
% 116.79/35.35 % (2512869)------------------------------
% 116.79/35.35 % (2512869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512869)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512869)Termination reason: Refutation not found, incomplete strategy
% 116.79/35.35 % (2512869)Time elapsed: 0.025 s
% 116.79/35.35 % (2512869)Peak memory usage: 90 MB
% 116.79/35.35 % (2512869)Instructions burned: 46 (million)
% 116.79/35.35 % (2512869)------------------------------
% 116.79/35.35 % (2512869)------------------------------
% 116.79/35.35 % (2512871)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=885027008:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2728 on theBenchmark for (2728ds/3372Mi)
% 116.79/35.35 % (2512867)Instruction limit reached!
% 116.79/35.35 % (2512867)------------------------------
% 116.79/35.35 % (2512867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512867)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512867)Termination reason: Instruction limit
% 116.79/35.35 % (2512867)Termination phase: Saturation
% 116.79/35.35 % (2512867)Time elapsed: 3.289 s
% 116.79/35.35 % (2512867)Peak memory usage: 143 MB
% 116.79/35.35 % (2512867)Instructions burned: 6995 (million)
% 116.79/35.35 % (2512873)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=3880027325:st=2.3:i=26457:sd=10:ss=included:sgt=8_2727 on theBenchmark for (2727ds/26457Mi)
% 116.79/35.35 % (2512847)Instruction limit reached!
% 116.79/35.35 % (2512847)------------------------------
% 116.79/35.35 % (2512847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512847)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512847)Termination reason: Instruction limit
% 116.79/35.35 % (2512847)Termination phase: Saturation
% 116.79/35.35 % (2512847)Time elapsed: 9.906 s
% 116.79/35.35 % (2512847)Peak memory usage: 157 MB
% 116.79/35.35 % (2512847)Instructions burned: 21612 (million)
% 116.79/35.35 % (2512875)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=3726000882:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2713 on theBenchmark for (2713ds/13494Mi)
% 116.79/35.35 % (2512871)Instruction limit reached!
% 116.79/35.35 % (2512871)------------------------------
% 116.79/35.35 % (2512871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512871)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512871)Termination reason: Instruction limit
% 116.79/35.35 % (2512871)Termination phase: Saturation
% 116.79/35.35 % (2512871)Time elapsed: 1.914 s
% 116.79/35.35 % (2512871)Peak memory usage: 139 MB
% 116.79/35.35 % (2512871)Instructions burned: 3373 (million)
% 116.79/35.35 % (2512877)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=2877601865:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2708 on theBenchmark for (2708ds/2503Mi)
% 116.79/35.35 % (2512877)Instruction limit reached!
% 116.79/35.35 % (2512877)------------------------------
% 116.79/35.35 % (2512877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512877)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512877)Termination reason: Instruction limit
% 116.79/35.35 % (2512877)Termination phase: Saturation
% 116.79/35.35 % (2512877)Time elapsed: 1.486 s
% 116.79/35.35 % (2512877)Peak memory usage: 142 MB
% 116.79/35.35 % (2512877)Instructions burned: 2504 (million)
% 116.79/35.35 % (2512880)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=1560136890:i=2559:sd=1:ep=RSTC:ss=axioms_2692 on theBenchmark for (2692ds/2559Mi)
% 116.79/35.35 % (2512880)Refutation not found, incomplete strategy
% 116.79/35.35 % (2512880)------------------------------
% 116.79/35.35 % (2512880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.79/35.35 % (2512880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.79/35.35 % (2512880)CaDiCaL version: 2.1.3
% 116.79/35.35 % (2512880)Termination reason: Refutation not found, incomplete strategy
% 116.79/35.35 % (2512880)Time elapsed: 0.578 s
% 116.79/35.35 % (2512880)Peak memory usage: 130 MB
% 116.79/35.35 % (2512880)Instructions burned: 877 (million)
% 116.79/35.35 % (2512880)------------------------------
% 116.79/35.35 % (2512880)------------------------------
% 116.79/35.35 % (2512882)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=3636354892:i=30753:av=off:ss=included_2682 on theBenchmark for (2682ds/30753Mi)
% 116.79/35.35 % (2512875)First to succeed.
% 116.79/35.35 % (2512875)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2512738"
% 116.79/35.35 % (2512875)Refutation found. Thanks to Tanya!
% 116.79/35.35 % SZS status Theorem for theBenchmark
% 116.79/35.35 % SZS output start Proof for theBenchmark
% See solution above
% 245.05/35.54 % (2512875)------------------------------
% 245.05/35.54 % (2512875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 245.05/35.54 % (2512875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 245.05/35.54 % (2512875)CaDiCaL version: 2.1.3
% 245.05/35.54 % (2512875)Termination reason: Refutation
% 245.05/35.54 % (2512875)Time elapsed: 5.356 s
% 245.05/35.54 % (2512875)Peak memory usage: 201 MB
% 245.05/35.54 % (2512875)Instructions burned: 8831 (million)
% 245.05/35.54 % (2512875)------------------------------
% 245.05/35.54 % (2512875)------------------------------
% 245.05/35.54 % (2512738)Success in time 34.478 s
% 245.05/35.54 % Vampire exiting
%------------------------------------------------------------------------------