%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO319+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 : n013.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 09:52:26 AM UTC 2026
% Result : Theorem 26.08s 4.54s
% Output : Refutation 26.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 48
% Syntax : Number of formulae : 422 ( 97 unt; 19 def)
% Number of atoms : 2753 ( 723 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 4146 (1815 ~;2115 |; 178 &)
% ( 25 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 20 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-3 aty)
% Number of variables : 1045 ( 0 sgn 999 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vd1329 != vd1302,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(368))), 1333, 0)') ).
fof(f2,negated_conjecture,
~ ( vd1329 != vd1302 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f4,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(368), 0)') ).
fof(f5,axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(367), 1330, 0)') ).
fof(f7,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f8,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f9,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(f11,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(349), 0)') ).
fof(f12,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(f13,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(346)), 0)') ).
fof(f14,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f15,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(f16,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f17,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f18,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f19,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f20,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f21,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(f61,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(f62,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(f67,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(f70,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(f77,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(f80,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(f85,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f92,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(f93,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f106,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(f119,axiom,
! [X0,X1,X2,X3] :
( ( rR(X3,X0,X1)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X3,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f165,plain,
vd1329 = vd1302,
inference(flattening,[],[f2]) ).
fof(f166,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,[],[f9]) ).
fof(f167,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,[],[f166]) ).
fof(f168,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f168]) ).
fof(f170,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,[],[f21]) ).
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(flattening,[],[f170]) ).
fof(f215,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,[],[f61]) ).
fof(f216,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,[],[f215]) ).
fof(f217,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,[],[f62]) ).
fof(f218,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,[],[f217]) ).
fof(f227,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,[],[f67]) ).
fof(f228,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,[],[f227]) ).
fof(f233,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,[],[f70]) ).
fof(f234,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,[],[f233]) ).
fof(f247,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,[],[f77]) ).
fof(f248,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,[],[f247]) ).
fof(f253,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,[],[f80]) ).
fof(f254,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,[],[f253]) ).
fof(f273,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f93]) ).
fof(f275,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f274]) ).
fof(f300,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,[],[f106]) ).
fof(f301,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,[],[f300]) ).
fof(f326,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f327,plain,
! [X0,X1,X2,X3] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f326]) ).
fof(f417,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)],[f15]) ).
fof(f421,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,[],[f216]) ).
fof(f422,plain,
! [X0,X1] :
( ( ron(X1,sK7(X0,X1))
& ron(X0,sK7(X0,X1))
& rline(sK7(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f421]) ).
fof(f423,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,[],[f218]) ).
fof(f424,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,[],[f423]) ).
fof(f430,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,[],[f234]) ).
fof(f435,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,[],[f248]) ).
fof(f436,plain,
! [X0,X1] :
( ( ron(X1,sK12(X0,X1))
& rcenter(X0,sK12(X0,X1))
& rcircle(sK12(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f435]) ).
fof(f494,plain,
vd1329 = vd1302,
inference(cnf_transformation,[],[f165]) ).
fof(f495,plain,
vd1329 != vd1287,
inference(cnf_transformation,[],[f3]) ).
fof(f496,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f4]) ).
fof(f497,plain,
rR(vd1329,vd1287,vd1299),
inference(cnf_transformation,[],[f5]) ).
fof(f499,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f7]) ).
fof(f500,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f8]) ).
fof(f501,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,[],[f167]) ).
fof(f503,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,[],[f167]) ).
fof(f504,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f167]) ).
fof(f506,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f11]) ).
fof(f507,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f12]) ).
fof(f508,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f12]) ).
fof(f509,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f12]) ).
fof(f510,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f12]) ).
fof(f511,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f13]) ).
fof(f512,plain,
rline(vd1295),
inference(cnf_transformation,[],[f14]) ).
fof(f513,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f417]) ).
fof(f514,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f417]) ).
fof(f515,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f417]) ).
fof(f516,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f417]) ).
fof(f517,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f417]) ).
fof(f518,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f417]) ).
fof(f519,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f417]) ).
fof(f520,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f417]) ).
fof(f521,plain,
vd1289 != vd1288,
inference(cnf_transformation,[],[f417]) ).
fof(f522,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f417]) ).
fof(f523,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f169]) ).
fof(f524,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f17]) ).
fof(f525,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f18]) ).
fof(f526,plain,
rline(vd1297),
inference(cnf_transformation,[],[f19]) ).
fof(f527,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f20]) ).
fof(f528,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,[],[f171]) ).
fof(f577,plain,
! [X3,X0,X1,X4] :
( rline(sK7(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f422]) ).
fof(f578,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK7(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f422]) ).
fof(f579,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK7(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f422]) ).
fof(f580,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,[],[f424]) ).
fof(f582,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f424]) ).
fof(f588,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,[],[f228]) ).
fof(f594,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,[],[f430]) ).
fof(f613,plain,
! [X3,X0,X1,X4] :
( rcircle(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f436]) ).
fof(f614,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f436]) ).
fof(f615,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f436]) ).
fof(f618,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,[],[f254]) ).
fof(f623,plain,
v0 = vd684,
inference(cnf_transformation,[],[f85]) ).
fof(f630,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f631,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f275]) ).
fof(f656,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,[],[f301]) ).
fof(f669,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X3,X0,X2)
| ~ rR(X3,X0,X1)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f327]) ).
fof(f814,plain,
vd1329 = vd1303,
inference(definition_unfolding,[],[f494,f510]) ).
fof(f815,plain,
vd1303 != sK3,
inference(definition_unfolding,[],[f495,f814,f514]) ).
fof(f816,plain,
ron(vd1303,vd1295),
inference(definition_unfolding,[],[f496,f814]) ).
fof(f817,plain,
rR(vd1303,sK3,vd1300),
inference(definition_unfolding,[],[f497,f814,f514,f499]) ).
fof(f820,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f506,f499]) ).
fof(f821,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f509,f518,f514,f510]) ).
fof(f822,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f507,f516,f514,f499]) ).
fof(f823,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f511,f514]) ).
fof(f824,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f522,f514,f516,f514,f518]) ).
fof(f825,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f521,f518,f516]) ).
fof(f826,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f520,f514,f518]) ).
fof(f827,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f519,f514,f516]) ).
fof(f828,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f524,f518]) ).
fof(f829,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f525,f514]) ).
fof(f830,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f527,f516]) ).
fof(f864,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f582,f623]) ).
fof(f866,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,[],[f580,f623]) ).
fof(f876,plain,
! [X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f504]) ).
fof(f877,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f876]) ).
fof(f878,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f877]) ).
fof(f879,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,[],[f503]) ).
fof(f880,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f879]) ).
fof(f881,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f880]) ).
fof(f882,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f881]) ).
fof(f887,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,[],[f501]) ).
fof(f888,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f887]) ).
fof(f889,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f888]) ).
fof(f890,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f523]) ).
fof(f891,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f890]) ).
fof(f892,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f891]) ).
fof(f893,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f892]) ).
fof(f894,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,[],[f528]) ).
fof(f895,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,[],[f894]) ).
fof(f896,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,[],[f895]) ).
fof(f897,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ron(X5,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f896]) ).
fof(f982,plain,
! [X3,X0,X4] :
( ron(X3,sK7(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f579]) ).
fof(f983,plain,
! [X3,X4] :
( ron(X3,sK7(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f982]) ).
fof(f984,plain,
! [X3,X0,X4] :
( ron(X0,sK7(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f578]) ).
fof(f985,plain,
! [X3,X4] :
( ron(X4,sK7(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f984]) ).
fof(f986,plain,
! [X3,X0,X4] :
( rline(sK7(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f577]) ).
fof(f987,plain,
! [X3,X4] :
( rline(sK7(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f986]) ).
fof(f988,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f864]) ).
fof(f989,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ rR(X0,X2,X5)
| vd684 != vangle(X2,X0,X5)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f988]) ).
fof(f990,plain,
! [X3,X0,X1,X7,X5] :
( ~ rR(X0,X3,X5)
| vd684 != vangle(X3,X0,X5)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f989]) ).
fof(f991,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ~ rR(X1,X3,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f990]) ).
fof(f996,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,[],[f866]) ).
fof(f997,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,[],[f996]) ).
fof(f998,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,[],[f997]) ).
fof(f999,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| vd684 = vangle(X3,X1,X5)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f998]) ).
fof(f1010,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,[],[f588]) ).
fof(f1011,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,[],[f1010]) ).
fof(f1012,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,[],[f1011]) ).
fof(f1013,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| rR(X6,X7,X4) ),
inference(equality_resolution,[],[f1012]) ).
fof(f1038,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,[],[f594]) ).
fof(f1039,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ron(X1,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1038]) ).
fof(f1087,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f615]) ).
fof(f1088,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1087]) ).
fof(f1089,plain,
! [X3,X0,X4] :
( rcenter(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f614]) ).
fof(f1090,plain,
! [X3,X4] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1089]) ).
fof(f1091,plain,
! [X3,X0,X4] :
( rcircle(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f613]) ).
fof(f1092,plain,
! [X3,X4] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1091]) ).
fof(f1099,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,[],[f618]) ).
fof(f1100,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,[],[f1099]) ).
fof(f1101,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,[],[f1100]) ).
fof(f1102,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,[],[f1101]) ).
fof(f1103,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,[],[f1102]) ).
fof(f1104,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,[],[f1103]) ).
fof(f1105,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rline(X7)
| 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)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1104]) ).
fof(f1127,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f631]) ).
fof(f1128,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1127]) ).
fof(f1129,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1128]) ).
fof(f1130,plain,
! [X6,X7,X4,X5] :
( ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| ~ rline(X4)
| X4 = X5
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1129]) ).
fof(f1213,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,[],[f656]) ).
fof(f1214,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,[],[f1213]) ).
fof(f1215,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,[],[f1214]) ).
fof(f1216,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,[],[f1215]) ).
fof(f1217,plain,
! [X8,X6,X9,X7,X4] :
( ~ rcircle(X6)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X9,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| rR(X9,X8,X7)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1216]) ).
fof(f1273,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X4,X0,X2)
| ~ rR(X4,X0,X1)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f669]) ).
fof(f1274,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X4,X0,X5)
| ~ rR(X4,X0,X1)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1273]) ).
fof(f1275,plain,
! [X0,X6,X7,X4,X5] :
( rR(X4,X0,X5)
| ~ rR(X4,X0,X6)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1274]) ).
fof(f1276,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rR(X4,X7,X6)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| rR(X4,X7,X5) ),
inference(equality_resolution,[],[f1275]) ).
fof(f1671,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f882]) ).
fof(f1747,definition,
( spl55_20
<=> vd1300 = sK3 ),
introduced(definition,[new_symbols(definition,[spl55_20])],[avatar_definition]) ).
fof(f1748,plain,
( vd1300 != sK3
| spl55_20 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1751,definition,
( spl55_21
<=> ron(sK3,vd1295) ),
introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).
fof(f1752,plain,
( ron(sK3,vd1295)
| ~ spl55_21 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1755,definition,
( spl55_22
<=> ron(vd1300,vd1295) ),
introduced(definition,[new_symbols(definition,[spl55_22])],[avatar_definition]) ).
fof(f1756,plain,
( ron(vd1300,vd1295)
| ~ spl55_22 ),
inference(avatar_component_clause,[],[f1755]) ).
fof(f1759,definition,
( spl55_23
<=> ron(sK3,vd1297) ),
introduced(definition,[new_symbols(definition,[spl55_23])],[avatar_definition]) ).
fof(f1760,plain,
( ron(sK3,vd1297)
| ~ spl55_23 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1764,definition,
( spl55_24
<=> ron(sK2,vd1295) ),
introduced(definition,[new_symbols(definition,[spl55_24])],[avatar_definition]) ).
fof(f1765,plain,
( ron(sK2,vd1295)
| ~ spl55_24 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1768,definition,
( spl55_25
<=> ron(sK1,vd1297) ),
introduced(definition,[new_symbols(definition,[spl55_25])],[avatar_definition]) ).
fof(f1769,plain,
( ron(sK1,vd1297)
| ~ spl55_25 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f1772,definition,
( spl55_26
<=> sK2 = sK3 ),
introduced(definition,[new_symbols(definition,[spl55_26])],[avatar_definition]) ).
fof(f1773,plain,
( sK2 != sK3
| spl55_26 ),
inference(avatar_component_clause,[],[f1772]) ).
fof(f1776,definition,
( spl55_27
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl55_27])],[avatar_definition]) ).
fof(f1777,plain,
( sK1 != sK3
| spl55_27 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1782,definition,
( spl55_28
<=> rR(sK3,sK2,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_28])],[avatar_definition]) ).
fof(f1783,plain,
( ~ rR(sK3,sK2,vd1300)
| spl55_28 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1838,plain,
spl55_24,
inference(avatar_split_clause,[],[f830,f1764]) ).
fof(f1839,plain,
spl55_23,
inference(avatar_split_clause,[],[f829,f1759]) ).
fof(f1840,plain,
spl55_25,
inference(avatar_split_clause,[],[f828,f1768]) ).
fof(f1841,plain,
~ spl55_26,
inference(avatar_split_clause,[],[f827,f1772]) ).
fof(f1842,plain,
~ spl55_27,
inference(avatar_split_clause,[],[f826,f1776]) ).
fof(f1843,plain,
spl55_21,
inference(avatar_split_clause,[],[f823,f1751]) ).
fof(f1844,plain,
spl55_22,
inference(avatar_split_clause,[],[f820,f1755]) ).
fof(f1853,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f889,f821]) ).
fof(f1854,plain,
( rR(vd1303,vd1300,sK3)
| ~ rpoint(vd1300)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f889,f817]) ).
fof(f1855,plain,
( rR(vd1303,vd1300,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1854,f500]) ).
fof(f1856,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1853,f508]) ).
fof(f1857,plain,
( rR(vd1303,vd1300,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1855,f508]) ).
fof(f1858,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1856,f517]) ).
fof(f1859,plain,
rR(vd1303,vd1300,sK3),
inference(forward_subsumption_resolution,[],[f1857,f513]) ).
fof(f1860,plain,
rR(sK1,vd1303,sK3),
inference(forward_subsumption_resolution,[],[f1858,f513]) ).
fof(f1867,plain,
( ~ rR(sK3,sK2,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(resolution,[],[f822,f878]) ).
fof(f1868,plain,
( ~ rR(sK3,sK2,vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1867,f500]) ).
fof(f1870,plain,
( ~ rR(sK3,sK2,vd1300)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1868,f513]) ).
fof(f1872,plain,
~ rR(sK3,sK2,vd1300),
inference(forward_subsumption_resolution,[],[f1870,f515]) ).
fof(f1874,plain,
~ spl55_28,
inference(avatar_split_clause,[],[f1872,f1782]) ).
fof(f1880,plain,
! [X2,X0,X1] :
( ~ rline(X1)
| ~ ron(X0,vd1295)
| ~ ron(X2,X1)
| ~ ron(X2,vd1295)
| ~ ron(X0,X1)
| vd1295 = X1
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1130,f512]) ).
fof(f1916,plain,
! [X2,X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ rR(X2,X1,X0)
| ron(X2,vd1295)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f893,f512]) ).
fof(f1918,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X1)
| ~ ron(X3,sK7(X1,X2))
| ~ rR(X4,X3,X0)
| ron(X4,sK7(X1,X2))
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X3)
| X1 = X2
| ~ rpoint(X2)
| ~ ron(X0,sK7(X1,X2)) ),
inference(resolution,[],[f893,f987]) ).
fof(f1921,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X0,sK7(X1,X2))
| ~ ron(X3,sK7(X1,X2))
| ~ rR(X0,X3,X4)
| ron(X4,sK7(X1,X2))
| ~ rpoint(X4)
| ~ rpoint(X0)
| ~ rpoint(X3)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f897,f987]) ).
fof(f1931,plain,
! [X0,X1] :
( ~ ron(X0,vd1295)
| ~ rR(X1,X0,vd1303)
| ron(X1,vd1295)
| ~ rpoint(vd1303)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1916,f816]) ).
fof(f1936,plain,
! [X0,X1] :
( ~ rR(X1,X0,vd1303)
| ~ ron(X0,vd1295)
| ron(X1,vd1295)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1931,f508]) ).
fof(f1954,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1295)
| rR(X0,X1,X2)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f999,f512]) ).
fof(f1963,plain,
( ! [X0,X1] :
( rR(X0,X1,vd1300)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1300 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl55_22 ),
inference(resolution,[],[f1954,f1756]) ).
fof(f1970,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| vd1300 = X0
| X0 = X1
| vd684 = vangle(X1,X0,vd1300)
| ~ rpoint(X1)
| rR(X0,X1,vd1300) )
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f1963,f500]) ).
fof(f2043,plain,
( vd1300 = sK3
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f2056,plain,
( rR(vd1303,sK3,sK3)
| ~ spl55_20 ),
inference(superposition,[],[f1859,f2043]) ).
fof(f2069,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1303)
| ~ spl55_20 ),
inference(resolution,[],[f2056,f1671]) ).
fof(f2079,plain,
( ~ rpoint(vd1303)
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f2069,f513]) ).
fof(f2080,plain,
( $false
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f2079,f508]) ).
fof(f2081,plain,
~ spl55_20,
inference(avatar_contradiction_clause,[],[f2080]) ).
fof(f2271,plain,
( ~ ron(sK3,vd1295)
| ron(sK1,vd1295)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1936,f821]) ).
fof(f2274,plain,
( ron(sK1,vd1295)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f2271,f1752]) ).
fof(f2275,plain,
( ron(sK1,vd1295)
| ~ rpoint(sK3)
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f2274,f517]) ).
fof(f2276,plain,
( ron(sK1,vd1295)
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f2275,f513]) ).
fof(f2318,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rline(X7)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| ~ ron(X2,sK7(X5,X6))
| ~ ron(X1,sK7(X5,X6))
| ~ ron(X4,X7)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f1105,f987]) ).
fof(f2382,definition,
( spl55_60
<=> rR(sK1,vd1303,sK2) ),
introduced(definition,[new_symbols(definition,[spl55_60])],[avatar_definition]) ).
fof(f2383,plain,
( rR(sK1,vd1303,sK2)
| ~ spl55_60 ),
inference(avatar_component_clause,[],[f2382]) ).
fof(f2608,plain,
! [X2,X0,X1] :
( ~ rR(X1,vd1303,X0)
| ~ rR(X0,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,vd1303,X2) ),
inference(resolution,[],[f1013,f508]) ).
fof(f2756,plain,
( ! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(sK3,vd1295)
| vd1300 = sK3
| sK3 = X0
| vd684 = vangle(X0,sK3,vd1300)
| ~ rpoint(X0)
| rR(sK3,X0,vd1300) )
| ~ spl55_22 ),
inference(resolution,[],[f1970,f513]) ).
fof(f2757,plain,
( ! [X0] :
( ~ ron(X0,vd1295)
| vd1300 = sK3
| sK3 = X0
| vd684 = vangle(X0,sK3,vd1300)
| ~ rpoint(X0)
| rR(sK3,X0,vd1300) )
| ~ spl55_21
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f2756,f1752]) ).
fof(f2761,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(X0,sK3,vd1300)
| ~ ron(X0,vd1295)
| rR(sK3,X0,vd1300) )
| spl55_20
| ~ spl55_21
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f2757,f1748]) ).
fof(f2803,plain,
( vd1300 = sK3
| vd684 = vangle(vd1300,sK3,vd1300)
| ~ ron(vd1300,vd1295)
| rR(sK3,vd1300,vd1300)
| spl55_20
| ~ spl55_21
| ~ spl55_22 ),
inference(resolution,[],[f2761,f500]) ).
fof(f2811,plain,
( vd684 = vangle(vd1300,sK3,vd1300)
| ~ ron(vd1300,vd1295)
| rR(sK3,vd1300,vd1300)
| spl55_20
| ~ spl55_21
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f2803,f1748]) ).
fof(f2815,plain,
( vd684 = vangle(vd1300,sK3,vd1300)
| rR(sK3,vd1300,vd1300)
| spl55_20
| ~ spl55_21
| ~ spl55_22 ),
inference(forward_subsumption_resolution,[],[f2811,f1756]) ).
fof(f2818,definition,
( spl55_76
<=> rR(sK3,sK1,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_76])],[avatar_definition]) ).
fof(f2819,plain,
( rR(sK3,sK1,vd1300)
| ~ spl55_76 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f2826,definition,
( spl55_78
<=> rR(sK3,vd1300,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_78])],[avatar_definition]) ).
fof(f2827,plain,
( rR(sK3,vd1300,vd1300)
| ~ spl55_78 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f2829,definition,
( spl55_79
<=> vd684 = vangle(vd1300,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl55_79])],[avatar_definition]) ).
fof(f2830,plain,
( vd684 = vangle(vd1300,sK3,vd1300)
| ~ spl55_79 ),
inference(avatar_component_clause,[],[f2829]) ).
fof(f2831,plain,
( spl55_78
| spl55_79
| spl55_20
| ~ spl55_21
| ~ spl55_22 ),
inference(avatar_split_clause,[],[f2815,f1755,f1751,f1747,f2829,f2826]) ).
fof(f2838,plain,
( ~ rR(sK1,sK3,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl55_76 ),
inference(resolution,[],[f2819,f878]) ).
fof(f2839,plain,
( ~ rR(sK1,sK3,vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl55_76 ),
inference(forward_subsumption_resolution,[],[f2838,f500]) ).
fof(f2841,plain,
( ~ rR(sK1,sK3,vd1300)
| ~ rpoint(sK3)
| ~ spl55_76 ),
inference(forward_subsumption_resolution,[],[f2839,f517]) ).
fof(f2843,plain,
( ~ rR(sK1,sK3,vd1300)
| ~ spl55_76 ),
inference(forward_subsumption_resolution,[],[f2841,f513]) ).
fof(f2857,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ spl55_78 ),
inference(resolution,[],[f2827,f1671]) ).
fof(f2868,plain,
( ~ rpoint(sK3)
| ~ spl55_78 ),
inference(forward_subsumption_resolution,[],[f2857,f500]) ).
fof(f2872,plain,
( $false
| ~ spl55_78 ),
inference(forward_subsumption_resolution,[],[f2868,f513]) ).
fof(f2873,plain,
~ spl55_78,
inference(avatar_contradiction_clause,[],[f2872]) ).
fof(f3053,plain,
( $false
| ~ spl55_76 ),
inference(unit_resulting_resolution,[],[f1276,f513,f508,f500,f517,f817,f821,f2843]) ).
fof(f3054,plain,
~ spl55_76,
inference(avatar_contradiction_clause,[],[f3053]) ).
fof(f3821,plain,
! [X0,X1] :
( rinside(X0,sK12(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f630,f1090]) ).
fof(f4227,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| rR(sK1,vd1303,X0) ),
inference(resolution,[],[f2608,f1860]) ).
fof(f4228,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| rR(sK1,vd1303,X0) ),
inference(forward_subsumption_resolution,[],[f4227,f513]) ).
fof(f4229,plain,
! [X0] :
( ~ rR(sK3,sK1,X0)
| ~ rpoint(X0)
| rR(sK1,vd1303,X0) ),
inference(forward_subsumption_resolution,[],[f4228,f517]) ).
fof(f4421,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X0,X3))
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| ron(X1,sK12(X0,X3))
| ~ rpoint(X1)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f1039,f1090]) ).
fof(f4422,plain,
! [X2,X0,X1] :
( vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X1)
| ron(X2,sK12(X0,X1))
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f4421,f1088]) ).
fof(f4423,plain,
! [X2,X0,X1] :
( ron(X2,sK12(X0,X1))
| ~ rpoint(X1)
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f4422]) ).
fof(f4522,definition,
( spl55_157
<=> rR(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl55_157])],[avatar_definition]) ).
fof(f4523,plain,
( rR(sK3,sK1,sK2)
| ~ spl55_157 ),
inference(avatar_component_clause,[],[f4522]) ).
fof(f4525,definition,
( spl55_158
<=> vd684 = vangle(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl55_158])],[avatar_definition]) ).
fof(f4526,plain,
( vd684 = vangle(sK1,sK3,sK2)
| ~ spl55_158 ),
inference(avatar_component_clause,[],[f4525]) ).
fof(f5592,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK7(X1,X2))
| ~ rR(X2,X0,X3)
| ron(X3,sK7(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f1921,f983]) ).
fof(f5595,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK7(X1,X2))
| ~ rR(X2,X0,X3)
| ron(X3,sK7(X1,X2))
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f5592]) ).
fof(f5597,plain,
! [X2,X0,X1] :
( ~ rR(X0,X1,X2)
| ron(X2,sK7(X1,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f5595,f985]) ).
fof(f5598,plain,
! [X2,X0,X1] :
( ~ rpoint(X1)
| ron(X2,sK7(X1,X0))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2)
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f5597]) ).
fof(f5604,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| ron(X0,sK7(sK3,X1))
| ~ rR(X1,sK3,X0)
| sK3 = X1 ),
inference(resolution,[],[f5598,f513]) ).
fof(f5645,plain,
! [X0] :
( ~ rpoint(X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rR(vd1303,sK3,X0)
| vd1303 = sK3 ),
inference(resolution,[],[f5604,f508]) ).
fof(f5651,plain,
! [X0] :
( ~ rR(vd1303,sK3,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f5645,f815]) ).
fof(f5655,plain,
( ron(vd1300,sK7(sK3,vd1303))
| ~ rpoint(vd1300) ),
inference(resolution,[],[f5651,f817]) ).
fof(f5660,plain,
ron(vd1300,sK7(sK3,vd1303)),
inference(forward_subsumption_resolution,[],[f5655,f500]) ).
fof(f5668,plain,
! [X0] :
( ~ rR(vd1303,vd1300,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| vd1303 = sK3
| ~ rpoint(sK3) ),
inference(resolution,[],[f5660,f5595]) ).
fof(f5669,plain,
! [X0] :
( ~ rR(vd1303,vd1300,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(vd1300)
| vd1303 = sK3
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5668,f508]) ).
fof(f5674,plain,
! [X0] :
( ~ rR(vd1303,vd1300,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| vd1303 = sK3
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5669,f500]) ).
fof(f5679,plain,
! [X0] :
( ~ rR(vd1303,vd1300,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f5674,f815]) ).
fof(f5684,plain,
! [X0] :
( ~ rR(vd1303,vd1300,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f5679,f513]) ).
fof(f5689,plain,
( ron(sK3,sK7(sK3,vd1303))
| ~ rpoint(sK3) ),
inference(resolution,[],[f5684,f1859]) ).
fof(f5690,plain,
ron(sK3,sK7(sK3,vd1303)),
inference(forward_subsumption_resolution,[],[f5689,f513]) ).
fof(f6264,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| ~ rR(X2,X0,X3)
| ron(X2,sK7(sK3,X1))
| ~ ron(X0,sK7(sK3,X1))
| ~ rpoint(X2)
| ~ rpoint(X0)
| sK3 = X1
| ~ rpoint(X1)
| ~ ron(X3,sK7(sK3,X1)) ),
inference(resolution,[],[f1918,f513]) ).
fof(f6274,plain,
! [X2,X0,X1] :
( ~ ron(vd1303,sK7(sK3,X2))
| ron(X0,sK7(sK3,X2))
| ~ ron(X1,sK7(sK3,X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK3 = X2
| ~ rpoint(X2)
| ~ rR(X0,X1,vd1303) ),
inference(resolution,[],[f6264,f508]) ).
fof(f6284,plain,
! [X0,X1] :
( ron(X0,sK7(sK3,vd1303))
| ~ ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rR(X0,X1,vd1303)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f6274,f983]) ).
fof(f6285,plain,
! [X0,X1] :
( ron(X0,sK7(sK3,vd1303))
| ~ ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rR(X0,X1,vd1303)
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f6284]) ).
fof(f6286,plain,
! [X0,X1] :
( ron(X0,sK7(sK3,vd1303))
| ~ ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(vd1303)
| ~ rR(X0,X1,vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f6285,f815]) ).
fof(f6288,plain,
! [X0,X1] :
( ron(X0,sK7(sK3,vd1303))
| ~ ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rR(X0,X1,vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f6286,f508]) ).
fof(f6290,plain,
! [X0,X1] :
( ~ ron(X1,sK7(sK3,vd1303))
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rR(X0,X1,vd1303) ),
inference(forward_subsumption_resolution,[],[f6288,f513]) ).
fof(f6294,plain,
! [X0] :
( ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rR(X0,sK3,vd1303) ),
inference(resolution,[],[f6290,f5690]) ).
fof(f6297,plain,
! [X0] :
( ~ rR(X0,sK3,vd1303)
| ~ rpoint(X0)
| ron(X0,sK7(sK3,vd1303)) ),
inference(forward_subsumption_resolution,[],[f6294,f513]) ).
fof(f6335,plain,
( ~ rpoint(sK1)
| ron(sK1,sK7(sK3,vd1303)) ),
inference(resolution,[],[f6297,f821]) ).
fof(f6381,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,sK12(X2,X3))
| X0 = X1
| ~ ron(X1,sK12(X2,X3))
| ~ rinside(X4,sK12(X2,X3))
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X4,X5)
| rR(X4,X1,X0)
| ~ rline(X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X4)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1217,f1092]) ).
fof(f7659,plain,
ron(sK1,sK7(sK3,vd1303)),
inference(forward_subsumption_resolution,[],[f6335,f517]) ).
fof(f7705,plain,
! [X0,X1] :
( ~ ron(X0,sK7(sK3,vd1303))
| ~ rR(sK1,X0,X1)
| ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f7659,f1921]) ).
fof(f7717,plain,
! [X0,X1] :
( ~ ron(X0,sK7(sK3,vd1303))
| ~ rR(sK1,X0,X1)
| ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7705,f517]) ).
fof(f7724,plain,
! [X0,X1] :
( ~ ron(X0,sK7(sK3,vd1303))
| ~ rR(sK1,X0,X1)
| ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7717,f815]) ).
fof(f7729,plain,
! [X0,X1] :
( ~ ron(X0,sK7(sK3,vd1303))
| ~ rR(sK1,X0,X1)
| ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7724,f508]) ).
fof(f7734,plain,
! [X0,X1] :
( ~ ron(X0,sK7(sK3,vd1303))
| ~ rR(sK1,X0,X1)
| ron(X1,sK7(sK3,vd1303))
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f7729,f513]) ).
fof(f7853,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| vd1303 = sK3
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(resolution,[],[f7734,f983]) ).
fof(f7859,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(vd1303)
| vd1303 = sK3
| ~ rpoint(sK3) ),
inference(duplicate_literal_removal,[],[f7853]) ).
fof(f7863,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| vd1303 = sK3
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7859,f508]) ).
fof(f7864,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f7863,f815]) ).
fof(f7865,plain,
! [X0] :
( ~ rR(sK1,vd1303,X0)
| ron(X0,sK7(sK3,vd1303))
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f7864,f513]) ).
fof(f8741,definition,
( spl55_518
<=> ron(sK2,sK7(sK3,vd1303)) ),
introduced(definition,[new_symbols(definition,[spl55_518])],[avatar_definition]) ).
fof(f8742,plain,
( ron(sK2,sK7(sK3,vd1303))
| ~ spl55_518 ),
inference(avatar_component_clause,[],[f8741]) ).
fof(f11422,plain,
( ~ rpoint(sK2)
| rR(sK1,vd1303,sK2)
| ~ spl55_157 ),
inference(resolution,[],[f4523,f4229]) ).
fof(f11442,plain,
( rR(sK1,vd1303,sK2)
| ~ spl55_157 ),
inference(forward_subsumption_resolution,[],[f11422,f515]) ).
fof(f11451,plain,
( spl55_60
| ~ spl55_157 ),
inference(avatar_split_clause,[],[f11442,f4522,f2382]) ).
fof(f11731,plain,
( ron(sK2,sK7(sK3,vd1303))
| ~ rpoint(sK2)
| ~ spl55_60 ),
inference(resolution,[],[f2383,f7865]) ).
fof(f11752,plain,
( ron(sK2,sK7(sK3,vd1303))
| ~ spl55_60 ),
inference(forward_subsumption_resolution,[],[f11731,f515]) ).
fof(f11762,plain,
( spl55_518
| ~ spl55_60 ),
inference(avatar_split_clause,[],[f11752,f2382,f8741]) ).
fof(f11948,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl55_158 ),
inference(superposition,[],[f991,f4526]) ).
fof(f11949,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| ~ spl55_158 ),
inference(trivial_inequality_removal,[],[f11948]) ).
fof(f14062,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl55_26
| ~ spl55_158 ),
inference(forward_subsumption_resolution,[],[f11949,f1773]) ).
fof(f14197,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl55_26
| spl55_27
| ~ spl55_158 ),
inference(forward_subsumption_resolution,[],[f14062,f1777]) ).
fof(f14332,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl55_26
| spl55_27
| ~ spl55_158 ),
inference(forward_subsumption_resolution,[],[f14197,f515]) ).
fof(f14527,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| spl55_26
| spl55_27
| ~ spl55_158 ),
inference(forward_subsumption_resolution,[],[f14332,f517]) ).
fof(f14633,definition,
( spl55_788
<=> ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl55_788])],[avatar_definition]) ).
fof(f14634,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0) )
| ~ spl55_788 ),
inference(avatar_component_clause,[],[f14633]) ).
fof(f14718,plain,
( ! [X0] :
( ~ rR(sK3,sK1,sK2)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl55_26
| spl55_27
| ~ spl55_158 ),
inference(forward_subsumption_resolution,[],[f14527,f513]) ).
fof(f14753,plain,
( ~ rR(sK3,sK1,vd1300)
| spl55_76 ),
inference(avatar_component_clause,[],[f2818]) ).
fof(f14792,plain,
( ~ rR(sK3,sK1,sK2)
| spl55_157 ),
inference(avatar_component_clause,[],[f4522]) ).
fof(f14793,plain,
( spl55_788
| ~ spl55_157
| spl55_26
| spl55_27
| ~ spl55_158 ),
inference(avatar_split_clause,[],[f14718,f4525,f1776,f1772,f4522,f14633]) ).
fof(f15680,plain,
! [X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X1,vd1297)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1880,f526]) ).
fof(f15684,definition,
( spl55_850
<=> vd1295 = vd1297 ),
introduced(definition,[new_symbols(definition,[spl55_850])],[avatar_definition]) ).
fof(f15685,plain,
( vd1295 = vd1297
| ~ spl55_850 ),
inference(avatar_component_clause,[],[f15684]) ).
fof(f15687,definition,
( spl55_851
<=> ! [X0,X1] :
( ~ ron(X0,vd1295)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ ron(X0,vd1297)
| ~ ron(X1,vd1297)
| ~ ron(X1,vd1295) ) ),
introduced(definition,[new_symbols(definition,[spl55_851])],[avatar_definition]) ).
fof(f15688,plain,
( ! [X0,X1] :
( ~ ron(X1,vd1297)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ ron(X0,vd1297)
| ~ ron(X0,vd1295)
| ~ ron(X1,vd1295) )
| ~ spl55_851 ),
inference(avatar_component_clause,[],[f15687]) ).
fof(f15689,plain,
( spl55_850
| spl55_851 ),
inference(avatar_split_clause,[],[f15680,f15687,f15684]) ).
fof(f16843,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X1,vd1297)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| ~ ron(X3,sK7(X5,X6))
| ~ ron(X4,sK7(X5,X6))
| ~ ron(X2,vd1297)
| rR(X0,X1,X2)
| ~ ron(X0,vd1297)
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| rR(X0,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f2318,f526]) ).
fof(f18887,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| ~ ron(X1,sK12(X2,X3))
| ~ rinside(X4,sK12(X2,X3))
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X4,X5)
| rR(X4,X1,X0)
| ~ rline(X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X4)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X2,X0) != vf(X2,X3)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X2) ),
inference(resolution,[],[f6381,f4423]) ).
fof(f18888,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X1,sK12(X2,X3))
| X0 = X1
| ~ rinside(X4,sK12(X2,X3))
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X4,X5)
| rR(X4,X1,X0)
| ~ rline(X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X4)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X2,X0) != vf(X2,X3) ),
inference(duplicate_literal_removal,[],[f18887]) ).
fof(f23809,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| ~ rinside(X2,sK12(X3,X1))
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| rR(X2,X1,X0)
| ~ rline(X4)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3)
| vf(X3,X1) != vf(X3,X0)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f18888,f1088]) ).
fof(f23812,plain,
! [X2,X3,X0,X1,X4] :
( ~ rline(X4)
| ~ rinside(X2,sK12(X3,X1))
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| rR(X2,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3)
| vf(X3,X1) != vf(X3,X0) ),
inference(duplicate_literal_removal,[],[f23809]) ).
fof(f25607,plain,
( ~ ron(sK3,vd1295)
| ~ ron(sK1,vd1295)
| ~ spl55_788 ),
inference(resolution,[],[f14634,f512]) ).
fof(f25613,plain,
( ~ ron(sK1,vd1295)
| ~ spl55_21
| ~ spl55_788 ),
inference(forward_subsumption_resolution,[],[f25607,f1752]) ).
fof(f25616,plain,
( $false
| ~ spl55_21
| ~ spl55_788 ),
inference(forward_subsumption_resolution,[],[f25613,f2276]) ).
fof(f25617,plain,
( ~ spl55_21
| ~ spl55_788 ),
inference(avatar_contradiction_clause,[],[f25616]) ).
fof(f27346,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| X0 = X2
| X0 = X3
| sK1 = X0
| ~ ron(X1,sK7(X4,X5))
| ~ ron(X3,sK7(X4,X5))
| ~ ron(X2,vd1297)
| rR(X0,sK1,X2)
| ~ ron(X0,vd1297)
| vangle(X2,X0,X1) = vangle(sK1,X0,X3)
| rR(X0,X3,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) )
| ~ spl55_25 ),
inference(resolution,[],[f16843,f1769]) ).
fof(f27351,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,vd1297)
| X0 = X2
| X0 = X3
| sK1 = X0
| ~ ron(X1,sK7(X4,X5))
| ~ ron(X3,sK7(X4,X5))
| ~ ron(X2,vd1297)
| rR(X0,sK1,X2)
| X0 = X1
| vangle(X2,X0,X1) = vangle(sK1,X0,X3)
| rR(X0,X3,X1)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X4 = X5
| ~ rpoint(X5)
| ~ rpoint(X4) )
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f27346,f517]) ).
fof(f28117,plain,
( $false
| ~ spl55_21
| ~ spl55_23
| ~ spl55_25
| spl55_27
| ~ spl55_851 ),
inference(unit_resulting_resolution,[],[f15688,f513,f517,f2276,f1769,f1777,f1752,f1760]) ).
fof(f28134,plain,
( ~ spl55_21
| ~ spl55_23
| ~ spl55_25
| spl55_27
| ~ spl55_851 ),
inference(avatar_contradiction_clause,[],[f28117]) ).
fof(f32257,plain,
( ! [X2,X3,X0,X1,X4] :
( sK3 = X0
| sK3 = X1
| sK1 = sK3
| ~ ron(X2,sK7(X3,X4))
| ~ ron(X1,sK7(X3,X4))
| ~ ron(X0,vd1297)
| rR(sK3,sK1,X0)
| sK3 = X2
| vangle(sK1,sK3,X1) = vangle(X0,sK3,X2)
| rR(sK3,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) )
| ~ spl55_23
| ~ spl55_25 ),
inference(resolution,[],[f27351,f1760]) ).
fof(f32259,plain,
( ! [X2,X3,X0,X1,X4] :
( sK3 = X0
| sK3 = X1
| ~ ron(X2,sK7(X3,X4))
| ~ ron(X1,sK7(X3,X4))
| ~ ron(X0,vd1297)
| rR(sK3,sK1,X0)
| sK3 = X2
| vangle(sK1,sK3,X1) = vangle(X0,sK3,X2)
| rR(sK3,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) )
| ~ spl55_23
| ~ spl55_25
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f32257,f1777]) ).
fof(f32264,plain,
( ! [X2,X3,X0,X1,X4] :
( sK3 = X0
| sK3 = X1
| ~ ron(X2,sK7(X3,X4))
| ~ ron(X1,sK7(X3,X4))
| ~ ron(X0,vd1297)
| rR(sK3,sK1,X0)
| sK3 = X2
| vangle(sK1,sK3,X1) = vangle(X0,sK3,X2)
| rR(sK3,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) )
| ~ spl55_23
| ~ spl55_25
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f32259,f513]) ).
fof(f32269,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ron(X0,vd1295)
| sK3 = X0
| sK3 = X1
| ~ ron(X2,sK7(X3,X4))
| ~ ron(X1,sK7(X3,X4))
| rR(sK3,sK1,X0)
| sK3 = X2
| vangle(sK1,sK3,X1) = vangle(X0,sK3,X2)
| rR(sK3,X1,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) )
| ~ spl55_23
| ~ spl55_25
| spl55_27
| ~ spl55_850 ),
inference(forward_demodulation,[],[f32264,f15685]) ).
fof(f32286,plain,
( ! [X2,X3,X0,X1] :
( vd1300 = sK3
| sK3 = X0
| ~ ron(X1,sK7(X2,X3))
| ~ ron(X0,sK7(X2,X3))
| rR(sK3,sK1,vd1300)
| sK3 = X1
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) )
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| ~ spl55_850 ),
inference(resolution,[],[f32269,f1756]) ).
fof(f32296,plain,
( ! [X2,X3,X0,X1] :
( sK3 = X0
| ~ ron(X1,sK7(X2,X3))
| ~ ron(X0,sK7(X2,X3))
| rR(sK3,sK1,vd1300)
| sK3 = X1
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f32286,f1748]) ).
fof(f32301,plain,
( ! [X2,X3,X0,X1] :
( sK3 = X0
| ~ ron(X1,sK7(X2,X3))
| ~ ron(X0,sK7(X2,X3))
| sK3 = X1
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f32296,f14753]) ).
fof(f32309,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X2)
| ~ ron(X1,sK7(X2,X3))
| ~ ron(X0,sK7(X2,X3))
| sK3 = X1
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3)
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f32301,f500]) ).
fof(f32345,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X1)
| ~ ron(X2,sK7(sK3,X1))
| sK3 = X0
| vangle(vd1300,sK3,X0) = vangle(sK1,sK3,X2)
| rR(sK3,X2,X0)
| ~ rpoint(X0)
| ~ rpoint(X2)
| sK3 = X1
| ~ ron(X0,sK7(sK3,X1))
| sK3 = X2 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(resolution,[],[f32309,f513]) ).
fof(f32418,plain,
( ! [X0,X1] :
( ~ ron(X0,sK7(sK3,vd1303))
| sK3 = X1
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vd1303 = sK3
| ~ ron(X1,sK7(sK3,vd1303))
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(resolution,[],[f32345,f508]) ).
fof(f32437,plain,
( ! [X0,X1] :
( ~ ron(X1,sK7(sK3,vd1303))
| sK3 = X1
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X0,sK7(sK3,vd1303))
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f32418,f815]) ).
fof(f32455,plain,
( ! [X0] :
( vd1300 = sK3
| vangle(sK1,sK3,X0) = vangle(vd1300,sK3,vd1300)
| rR(sK3,X0,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| ~ ron(X0,sK7(sK3,vd1303))
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(resolution,[],[f32437,f5660]) ).
fof(f32467,plain,
( ! [X0] :
( vangle(sK1,sK3,X0) = vangle(vd1300,sK3,vd1300)
| rR(sK3,X0,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| ~ ron(X0,sK7(sK3,vd1303))
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f32455,f1748]) ).
fof(f32473,plain,
( ! [X0] :
( vangle(sK1,sK3,X0) = vangle(vd1300,sK3,vd1300)
| rR(sK3,X0,vd1300)
| ~ rpoint(X0)
| ~ ron(X0,sK7(sK3,vd1303))
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f32467,f500]) ).
fof(f32482,plain,
( ! [X0] :
( ~ ron(X0,sK7(sK3,vd1303))
| rR(sK3,X0,vd1300)
| ~ rpoint(X0)
| vd684 = vangle(sK1,sK3,X0)
| sK3 = X0 )
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_79
| ~ spl55_850 ),
inference(forward_demodulation,[],[f32473,f2830]) ).
fof(f33830,plain,
( rR(sK3,sK2,vd1300)
| ~ rpoint(sK2)
| vd684 = vangle(sK1,sK3,sK2)
| sK2 = sK3
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_76
| ~ spl55_79
| ~ spl55_518
| ~ spl55_850 ),
inference(resolution,[],[f32482,f8742]) ).
fof(f40465,plain,
! [X2,X3,X0,X1] :
( ~ rinside(X0,sK12(X1,X2))
| ~ ron(X3,vd1295)
| ~ ron(X2,vd1295)
| ~ ron(X0,vd1295)
| rR(X0,X2,X3)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X1)
| vf(X1,X2) != vf(X1,X3) ),
inference(resolution,[],[f23812,f512]) ).
fof(f40471,plain,
! [X2,X0,X1] :
( ~ ron(X0,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X2,vd1295)
| rR(X2,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X2
| ~ rpoint(X2)
| vf(X2,X0) != vf(X2,X1)
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(resolution,[],[f40465,f3821]) ).
fof(f40478,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1295)
| ~ ron(X1,vd1295)
| ~ ron(X0,vd1295)
| rR(X2,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X2
| vf(X2,X0) != vf(X2,X1) ),
inference(duplicate_literal_removal,[],[f40471]) ).
fof(f44612,plain,
( $false
| ~ spl55_21
| ~ spl55_24
| spl55_27
| spl55_157 ),
inference(unit_resulting_resolution,[],[f40478,f517,f515,f513,f1752,f1777,f825,f2276,f1765,f14792,f824]) ).
fof(f44620,plain,
( ~ spl55_21
| ~ spl55_24
| spl55_27
| spl55_157 ),
inference(avatar_contradiction_clause,[],[f44612]) ).
fof(f44645,plain,
( ~ rpoint(sK2)
| vd684 = vangle(sK1,sK3,sK2)
| sK2 = sK3
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_28
| spl55_76
| ~ spl55_79
| ~ spl55_518
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f33830,f1783]) ).
fof(f45697,plain,
( vd684 = vangle(sK1,sK3,sK2)
| sK2 = sK3
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_27
| spl55_28
| spl55_76
| ~ spl55_79
| ~ spl55_518
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f44645,f515]) ).
fof(f46142,plain,
( vd684 = vangle(sK1,sK3,sK2)
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_26
| spl55_27
| spl55_28
| spl55_76
| ~ spl55_79
| ~ spl55_518
| ~ spl55_850 ),
inference(forward_subsumption_resolution,[],[f45697,f1773]) ).
fof(f46466,plain,
( spl55_158
| spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_26
| spl55_27
| spl55_28
| spl55_76
| ~ spl55_79
| ~ spl55_518
| ~ spl55_850 ),
inference(avatar_split_clause,[],[f46142,f15684,f8741,f2829,f2818,f1782,f1776,f1772,f1768,f1759,f1755,f1747,f4525]) ).
cnf(s46,plain,
spl55_24,
inference(sat_conversion,[],[f1838]) ).
cnf(s47,plain,
spl55_23,
inference(sat_conversion,[],[f1839]) ).
cnf(s48,plain,
spl55_25,
inference(sat_conversion,[],[f1840]) ).
cnf(s49,plain,
~ spl55_26,
inference(sat_conversion,[],[f1841]) ).
cnf(s50,plain,
~ spl55_27,
inference(sat_conversion,[],[f1842]) ).
cnf(s51,plain,
spl55_21,
inference(sat_conversion,[],[f1843]) ).
cnf(s52,plain,
spl55_22,
inference(sat_conversion,[],[f1844]) ).
cnf(s53,plain,
~ spl55_28,
inference(sat_conversion,[],[f1874]) ).
cnf(s63,plain,
~ spl55_20,
inference(sat_conversion,[],[f2081]) ).
cnf(s93,plain,
( spl55_20
| ~ spl55_21
| ~ spl55_22
| spl55_78
| spl55_79 ),
inference(sat_conversion,[],[f2831]) ).
cnf(s102,plain,
~ spl55_78,
inference(sat_conversion,[],[f2873]) ).
cnf(s115,plain,
~ spl55_76,
inference(sat_conversion,[],[f3054]) ).
cnf(s789,plain,
( spl55_60
| ~ spl55_157 ),
inference(sat_conversion,[],[f11451]) ).
cnf(s799,plain,
( ~ spl55_60
| spl55_518 ),
inference(sat_conversion,[],[f11762]) ).
cnf(s1047,plain,
( spl55_26
| spl55_27
| ~ spl55_157
| ~ spl55_158
| spl55_788 ),
inference(sat_conversion,[],[f14793]) ).
cnf(s1213,plain,
( spl55_850
| spl55_851 ),
inference(sat_conversion,[],[f15689]) ).
cnf(s1688,plain,
( ~ spl55_21
| ~ spl55_788 ),
inference(sat_conversion,[],[f25617]) ).
cnf(s1890,plain,
( ~ spl55_21
| ~ spl55_23
| ~ spl55_25
| spl55_27
| ~ spl55_851 ),
inference(sat_conversion,[],[f28134]) ).
cnf(s2785,plain,
( ~ spl55_21
| ~ spl55_24
| spl55_27
| spl55_157 ),
inference(sat_conversion,[],[f44620]) ).
cnf(s3093,plain,
( spl55_20
| ~ spl55_22
| ~ spl55_23
| ~ spl55_25
| spl55_26
| spl55_27
| spl55_28
| spl55_76
| ~ spl55_79
| spl55_158
| ~ spl55_518
| ~ spl55_850 ),
inference(sat_conversion,[],[f46466]) ).
cnf(s3284,plain,
( spl55_20
| ~ spl55_21
| ~ spl55_22
| spl55_79 ),
inference(rat,[],[s93,s102]) ).
cnf(s3384,plain,
~ spl55_788,
inference(rat,[],[s1688,s51]) ).
cnf(s3433,plain,
spl55_79,
inference(rat,[],[s3284,s52,s63,s51]) ).
cnf(s3550,plain,
~ spl55_851,
inference(rat,[],[s1890,s48,s50,s51,s47]) ).
cnf(s3558,plain,
spl55_850,
inference(rat,[],[s1213,s3550]) ).
cnf(s3621,plain,
spl55_157,
inference(rat,[],[s2785,s50,s51,s46]) ).
cnf(s3632,plain,
spl55_60,
inference(rat,[],[s789,s3621]) ).
cnf(s3633,plain,
~ spl55_158,
inference(rat,[],[s1047,s3384,s49,s50,s3621]) ).
cnf(s3687,plain,
spl55_518,
inference(rat,[],[s799,s3632]) ).
cnf(s3694,plain,
$false,
inference(rat,[],[s3093,s3558,s47,s48,s3433,s115,s53,s50,s49,s52,s63,s3687,s3633]) ).
fof(f46757,plain,
$false,
inference(avatar_sat_refutation,[],[s3694]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO319+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n013.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 08:04:06 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 12.54/2.73 % (4095595)Detected formulas, will run a generic FOF schedule.
% 12.54/2.73 % (4095601)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=2602954091:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.54/2.73 % (4095605)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2667189009:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.54/2.73 % (4095602)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=2331636937:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.54/2.73 % (4095604)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=616597327:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.54/2.73 % (4095603)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=436876805:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.54/2.73 % (4095600)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=2887340545:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.54/2.73 % (4095606)dis-21_1_sil=8000:lcm=predicate:random_seed=449286443: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)
% 12.54/2.73 % (4095603)Refutation not found, incomplete strategy
% 12.54/2.73 % (4095603)------------------------------
% 12.54/2.73 % (4095603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.73 % (4095603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.73 % (4095603)CaDiCaL version: 2.1.3
% 12.54/2.73 % (4095603)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.73 % (4095603)Time elapsed: 0.002 s
% 12.54/2.73 % (4095603)Peak memory usage: 88 MB
% 12.54/2.73 % (4095603)Instructions burned: 1 (million)
% 12.54/2.73 % (4095604)Instruction limit reached!
% 12.54/2.73 % (4095604)------------------------------
% 12.54/2.73 % (4095604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.73 % (4095604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.73 % (4095604)CaDiCaL version: 2.1.3
% 12.54/2.73 % (4095604)Termination reason: Instruction limit
% 12.54/2.73 % (4095604)Termination phase: Saturation
% 12.54/2.73 % (4095604)Time elapsed: 0.067 s
% 12.54/2.73 % (4095604)Peak memory usage: 89 MB
% 12.54/2.73 % (4095604)Instructions burned: 121 (million)
% 12.54/2.73 % (4095606)Instruction limit reached!
% 12.54/2.73 % (4095606)------------------------------
% 12.54/2.73 % (4095606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.73 % (4095606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.73 % (4095606)CaDiCaL version: 2.1.3
% 12.54/2.73 % (4095606)Termination reason: Instruction limit
% 12.54/2.73 % (4095606)Termination phase: Saturation
% 12.54/2.73 % (4095606)Time elapsed: 0.068 s
% 12.54/2.73 % (4095606)Peak memory usage: 90 MB
% 12.54/2.73 % (4095606)Instructions burned: 130 (million)
% 12.54/2.73 % (4095605)Instruction limit reached!
% 12.54/2.73 % (4095605)------------------------------
% 12.54/2.73 % (4095605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.73 % (4095605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.73 % (4095605)CaDiCaL version: 2.1.3
% 12.54/2.73 % (4095605)Termination reason: Instruction limit
% 12.54/2.73 % (4095605)Termination phase: Saturation
% 12.54/2.73 % (4095605)Time elapsed: 0.087 s
% 12.54/2.73 % (4095605)Peak memory usage: 90 MB
% 12.54/2.73 % (4095605)Instructions burned: 140 (million)
% 12.54/2.73 % (4095614)lrs+10_1_sil=8000:sp=occurrence:random_seed=3963464601:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.54/2.73 % (4095615)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3830935274:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.54/2.73 % (4095615)Refutation not found, incomplete strategy
% 12.54/2.73 % (4095615)------------------------------
% 12.54/2.73 % (4095615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.54/2.73 % (4095615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.73 % (4095615)CaDiCaL version: 2.1.3
% 12.54/2.73 % (4095615)Termination reason: Refutation not found, incomplete strategy
% 19.53/3.63 % (4095615)Time elapsed: 0.002 s
% 19.53/3.63 % (4095615)Peak memory usage: 88 MB
% 19.53/3.63 % (4095615)Instructions burned: 3 (million)
% 19.53/3.63 % (4095616)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1178111006:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.53/3.63 % (4095616)Refutation not found, incomplete strategy
% 19.53/3.63 % (4095616)------------------------------
% 19.53/3.63 % (4095616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.63 % (4095616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.63 % (4095616)CaDiCaL version: 2.1.3
% 19.53/3.63 % (4095616)Termination reason: Refutation not found, incomplete strategy
% 19.53/3.63 % (4095616)Time elapsed: 0.002 s
% 19.53/3.63 % (4095616)Peak memory usage: 88 MB
% 19.53/3.63 % (4095616)Instructions burned: 1 (million)
% 19.53/3.63 % (4095603)------------------------------
% 19.53/3.63 % (4095603)------------------------------
% 19.53/3.63 % (4095614)Instruction limit reached!
% 19.53/3.63 % (4095614)------------------------------
% 19.53/3.63 % (4095614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.64 % (4095614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.64 % (4095614)CaDiCaL version: 2.1.3
% 19.53/3.64 % (4095614)Termination reason: Instruction limit
% 19.53/3.64 % (4095614)Termination phase: Saturation
% 19.53/3.64 % (4095614)Time elapsed: 0.152 s
% 19.53/3.64 % (4095614)Peak memory usage: 91 MB
% 19.53/3.64 % (4095614)Instructions burned: 285 (million)
% 19.53/3.64 % (4095620)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=946876265:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.53/3.64 % (4095615)------------------------------
% 19.53/3.64 % (4095615)------------------------------
% 19.53/3.64 % (4095616)------------------------------
% 19.53/3.64 % (4095616)------------------------------
% 19.53/3.64 % (4095621)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=69346576:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.53/3.64 % (4095620)Instruction limit reached!
% 19.53/3.64 % (4095620)------------------------------
% 19.53/3.64 % (4095620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.64 % (4095620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.64 % (4095620)CaDiCaL version: 2.1.3
% 19.53/3.64 % (4095620)Termination reason: Instruction limit
% 19.53/3.64 % (4095620)Termination phase: Saturation
% 19.53/3.64 % (4095620)Time elapsed: 0.114 s
% 19.53/3.64 % (4095620)Peak memory usage: 89 MB
% 19.53/3.64 % (4095620)Instructions burned: 249 (million)
% 19.53/3.64 % (4095621)Refutation not found, incomplete strategy
% 19.53/3.64 % (4095621)------------------------------
% 19.53/3.64 % (4095621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.64 % (4095621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.64 % (4095621)CaDiCaL version: 2.1.3
% 19.53/3.64 % (4095621)Termination reason: Refutation not found, incomplete strategy
% 19.53/3.64 % (4095621)Time elapsed: 0.016 s
% 19.53/3.64 % (4095621)Peak memory usage: 89 MB
% 19.53/3.64 % (4095621)Instructions burned: 28 (million)
% 19.53/3.64 % (4095623)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=216728198:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.53/3.64 % (4095624)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1844288371:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.53/3.64 % (4095626)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=879140426:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.53/3.64 % (4095624)Instruction limit reached!
% 19.53/3.64 % (4095624)------------------------------
% 19.53/3.64 % (4095624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.64 % (4095624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.64 % (4095624)CaDiCaL version: 2.1.3
% 19.53/3.64 % (4095624)Termination reason: Instruction limit
% 19.53/3.64 % (4095624)Termination phase: Saturation
% 19.53/3.64 % (4095624)Time elapsed: 0.059 s
% 19.53/3.64 % (4095624)Peak memory usage: 90 MB
% 19.53/3.64 % (4095624)Instructions burned: 115 (million)
% 19.53/3.64 % (4095626)Instruction limit reached!
% 19.53/3.64 % (4095626)------------------------------
% 19.53/3.64 % (4095626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.53 % (4095626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.53 % (4095626)CaDiCaL version: 2.1.3
% 26.08/4.53 % (4095626)Termination reason: Instruction limit
% 26.08/4.53 % (4095626)Termination phase: Saturation
% 26.08/4.53 % (4095626)Time elapsed: 0.061 s
% 26.08/4.53 % (4095626)Peak memory usage: 89 MB
% 26.08/4.53 % (4095626)Instructions burned: 128 (million)
% 26.08/4.53 % (4095621)------------------------------
% 26.08/4.53 % (4095621)------------------------------
% 26.08/4.53 % (4095630)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=590455404:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 26.08/4.53 % (4095631)lrs+10_1_sil=8000:sp=occurrence:random_seed=151429352:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 26.08/4.53 % (4095630)Instruction limit reached!
% 26.08/4.53 % (4095630)------------------------------
% 26.08/4.53 % (4095630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.53 % (4095630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.53 % (4095630)CaDiCaL version: 2.1.3
% 26.08/4.53 % (4095630)Termination reason: Instruction limit
% 26.08/4.53 % (4095630)Termination phase: Saturation
% 26.08/4.53 % (4095630)Time elapsed: 0.061 s
% 26.08/4.53 % (4095630)Peak memory usage: 89 MB
% 26.08/4.53 % (4095630)Instructions burned: 115 (million)
% 26.08/4.53 % (4095632)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1114888743:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 26.08/4.53 % (4095635)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4215759325:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 26.08/4.53 % (4095632)Instruction limit reached!
% 26.08/4.53 % (4095632)------------------------------
% 26.08/4.53 % (4095632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.53 % (4095632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.53 % (4095632)CaDiCaL version: 2.1.3
% 26.08/4.53 % (4095632)Termination reason: Instruction limit
% 26.08/4.53 % (4095632)Termination phase: Saturation
% 26.08/4.53 % (4095632)Time elapsed: 0.182 s
% 26.08/4.54 % (4095632)Peak memory usage: 90 MB
% 26.08/4.54 % (4095632)Instructions burned: 441 (million)
% 26.08/4.54 % (4095638)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3561725940:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 26.08/4.54 % (4095638)Instruction limit reached!
% 26.08/4.54 % (4095638)------------------------------
% 26.08/4.54 % (4095638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095638)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095638)Termination reason: Instruction limit
% 26.08/4.54 % (4095638)Termination phase: Saturation
% 26.08/4.54 % (4095638)Time elapsed: 0.066 s
% 26.08/4.54 % (4095638)Peak memory usage: 93 MB
% 26.08/4.54 % (4095638)Instructions burned: 135 (million)
% 26.08/4.54 % (4095631)Instruction limit reached!
% 26.08/4.54 % (4095631)------------------------------
% 26.08/4.54 % (4095631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095631)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095631)Termination reason: Instruction limit
% 26.08/4.54 % (4095631)Termination phase: Saturation
% 26.08/4.54 % (4095631)Time elapsed: 0.462 s
% 26.08/4.54 % (4095631)Peak memory usage: 96 MB
% 26.08/4.54 % (4095631)Instructions burned: 908 (million)
% 26.08/4.54 % (4095640)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1760928383:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 26.08/4.54 % (4095641)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3447327932:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 26.08/4.54 % (4095640)Instruction limit reached!
% 26.08/4.54 % (4095640)------------------------------
% 26.08/4.54 % (4095640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095640)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095640)Termination reason: Instruction limit
% 26.08/4.54 % (4095640)Termination phase: Saturation
% 26.08/4.54 % (4095640)Time elapsed: 0.319 s
% 26.08/4.54 % (4095640)Peak memory usage: 94 MB
% 26.08/4.54 % (4095640)Instructions burned: 593 (million)
% 26.08/4.54 % (4095644)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=4257447609:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 26.08/4.54 % (4095644)Instruction limit reached!
% 26.08/4.54 % (4095644)------------------------------
% 26.08/4.54 % (4095644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095644)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095644)Termination reason: Instruction limit
% 26.08/4.54 % (4095644)Termination phase: Saturation
% 26.08/4.54 % (4095644)Time elapsed: 0.065 s
% 26.08/4.54 % (4095644)Peak memory usage: 91 MB
% 26.08/4.54 % (4095644)Instructions burned: 126 (million)
% 26.08/4.54 % (4095646)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1817687000:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 26.08/4.54 % (4095623)Instruction limit reached!
% 26.08/4.54 % (4095623)------------------------------
% 26.08/4.54 % (4095623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095623)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095623)Termination reason: Instruction limit
% 26.08/4.54 % (4095623)Termination phase: Saturation
% 26.08/4.54 % (4095623)Time elapsed: 1.469 s
% 26.08/4.54 % (4095623)Peak memory usage: 140 MB
% 26.08/4.54 % (4095623)Instructions burned: 2350 (million)
% 26.08/4.54 % (4095646)Instruction limit reached!
% 26.08/4.54 % (4095646)------------------------------
% 26.08/4.54 % (4095646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095646)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095646)Termination reason: Instruction limit
% 26.08/4.54 % (4095646)Termination phase: Saturation
% 26.08/4.54 % (4095646)Time elapsed: 0.078 s
% 26.08/4.54 % (4095646)Peak memory usage: 91 MB
% 26.08/4.54 % (4095646)Instructions burned: 135 (million)
% 26.08/4.54 % (4095648)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3423377202:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 26.08/4.54 % (4095648)Refutation not found, incomplete strategy
% 26.08/4.54 % (4095648)------------------------------
% 26.08/4.54 % (4095648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095648)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095648)Termination reason: Refutation not found, incomplete strategy
% 26.08/4.54 % (4095648)Time elapsed: 0.002 s
% 26.08/4.54 % (4095648)Peak memory usage: 88 MB
% 26.08/4.54 % (4095648)Instructions burned: 1 (million)
% 26.08/4.54 % (4095649)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3708958326:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 26.08/4.54 % (4095649)Refutation not found, incomplete strategy
% 26.08/4.54 % (4095649)------------------------------
% 26.08/4.54 % (4095649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095649)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095649)Termination reason: Refutation not found, incomplete strategy
% 26.08/4.54 % (4095649)Time elapsed: 0.002 s
% 26.08/4.54 % (4095649)Peak memory usage: 88 MB
% 26.08/4.54 % (4095649)Instructions burned: 1 (million)
% 26.08/4.54 % (4095648)------------------------------
% 26.08/4.54 % (4095648)------------------------------
% 26.08/4.54 % (4095649)------------------------------
% 26.08/4.54 % (4095649)------------------------------
% 26.08/4.54 % (4095652)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=1605890866:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 26.08/4.54 % (4095653)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=1301478013:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 26.08/4.54 % (4095653)Instruction limit reached!
% 26.08/4.54 % (4095653)------------------------------
% 26.08/4.54 % (4095653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.08/4.54 % (4095653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.08/4.54 % (4095653)CaDiCaL version: 2.1.3
% 26.08/4.54 % (4095653)Termination reason: Instruction limit
% 26.08/4.54 % (4095653)Termination phase: Saturation
% 26.08/4.54 % (4095653)Time elapsed: 0.078 s
% 26.08/4.54 % (4095653)Peak memory usage: 93 MB
% 26.08/4.54 % (4095653)Instructions burned: 151 (million)
% 26.08/4.54 % (4095656)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=789705313:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 26.08/4.54 % (4095601)First to succeed.
% 26.08/4.54 % (4095601)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4095595"
% 26.08/4.54 % (4095601)Refutation found. Thanks to Tanya!
% 26.08/4.54 % SZS status Theorem for theBenchmark
% 26.08/4.54 % SZS output start Proof for theBenchmark
% See solution above
% 26.54/4.73 % (4095601)------------------------------
% 26.54/4.73 % (4095601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.54/4.73 % (4095601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.54/4.73 % (4095601)CaDiCaL version: 2.1.3
% 26.54/4.73 % (4095601)Termination reason: Refutation
% 26.54/4.73 % (4095601)Time elapsed: 3.387 s
% 26.54/4.73 % (4095601)Peak memory usage: 170 MB
% 26.54/4.73 % (4095601)Instructions burned: 10639 (million)
% 26.54/4.73 % (4095601)------------------------------
% 26.54/4.73 % (4095601)------------------------------
% 26.54/4.73 % (4095595)Success in time 3.671 s
% 26.54/4.73 % Vampire exiting
%------------------------------------------------------------------------------