%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO323+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:27 AM UTC 2026
% Result : Theorem 37.10s 5.88s
% Output : Refutation 37.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 60
% Syntax : Number of formulae : 442 ( 115 unt; 22 def)
% Number of atoms : 2409 ( 743 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 3546 (1579 ~;1755 |; 169 &)
% ( 29 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 21 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 959 ( 0 sgn 916 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1287,vd1302,vd1288) = vangle(vd1287,vd1329,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(375)), 1344, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1287,vd1302,vd1288) != vangle(vd1287,vd1329,vd1289),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(375), 1343, 0)') ).
fof(f6,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f7,axiom,
~ rR(vd1287,vd1289,vd1302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(372))') ).
fof(f8,axiom,
rR(vd1329,vd1287,vd1299),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(367), 1330, 0)') ).
fof(f9,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f10,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f11,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f12,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f13,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f16,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f22,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f24,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f25,axiom,
vd1302 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(368))), 1334, 0)') ).
fof(f59,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f62,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f66,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f67,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f69,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f75,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(370)), 0)') ).
fof(f76,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(370)), 0)') ).
fof(f77,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(369), 0)') ).
fof(f78,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(369)), 0)') ).
fof(f79,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(369)), 0)') ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f83,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f87,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f94,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f95,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f96,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f100,axiom,
! [X0,X1,X2,X3] :
( ( rR(X3,X0,X1)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X3,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f104,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f109,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f115,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f116,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/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f127,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X1 != X2
& ron(X2,X5)
& ron(X1,X5)
& rinside(X0,X5)
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& X5 = X6
& rcircle(X6)
& X3 = X4
& rline(X4)
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) )
& ? [X9] :
( X0 = X9
& rpoint(X9) ) )
=> rR(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f182,plain,
vangle(vd1287,vd1302,vd1288) != vangle(vd1287,vd1329,vd1289),
inference(flattening,[],[f2]) ).
fof(f187,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,[],[f14]) ).
fof(f188,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,[],[f187]) ).
fof(f191,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,[],[f16]) ).
fof(f192,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,[],[f191]) ).
fof(f238,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,[],[f74]) ).
fof(f239,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,[],[f238]) ).
fof(f244,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,[],[f82]) ).
fof(f245,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,[],[f244]) ).
fof(f246,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f247,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f246]) ).
fof(f254,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,[],[f87]) ).
fof(f255,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,[],[f254]) ).
fof(f268,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,[],[f94]) ).
fof(f269,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,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f95]) ).
fof(f271,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f270]) ).
fof(f272,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f273,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f272]) ).
fof(f280,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,[],[f100]) ).
fof(f281,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,[],[f280]) ).
fof(f288,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,[],[f104]) ).
fof(f289,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,[],[f288]) ).
fof(f306,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f115]) ).
fof(f307,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,[],[f116]) ).
fof(f308,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,[],[f307]) ).
fof(f329,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,[],[f127]) ).
fof(f330,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,[],[f329]) ).
fof(f430,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)],[f13]) ).
fof(f437,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,[],[f245]) ).
fof(f438,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,[],[f437]) ).
fof(f446,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,[],[f269]) ).
fof(f447,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f273]) ).
fof(f451,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,[],[f289]) ).
fof(f452,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))],[f451]) ).
fof(f506,plain,
vangle(vd1287,vd1302,vd1288) != vangle(vd1287,vd1329,vd1289),
inference(cnf_transformation,[],[f182]) ).
fof(f507,plain,
vf(vd1302,vd1288) = vf(vd1329,vd1289),
inference(cnf_transformation,[],[f3]) ).
fof(f510,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f6]) ).
fof(f511,plain,
~ rR(vd1287,vd1289,vd1302),
inference(cnf_transformation,[],[f7]) ).
fof(f512,plain,
rR(vd1329,vd1287,vd1299),
inference(cnf_transformation,[],[f8]) ).
fof(f513,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f9]) ).
fof(f514,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f10]) ).
fof(f515,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f11]) ).
fof(f516,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f11]) ).
fof(f517,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f11]) ).
fof(f518,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f11]) ).
fof(f519,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f12]) ).
fof(f520,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f430]) ).
fof(f521,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f430]) ).
fof(f522,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f430]) ).
fof(f523,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f430]) ).
fof(f524,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f430]) ).
fof(f525,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f430]) ).
fof(f528,plain,
vd1288 != vd1289,
inference(cnf_transformation,[],[f430]) ).
fof(f529,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f430]) ).
fof(f530,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,[],[f188]) ).
fof(f532,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,[],[f192]) ).
fof(f533,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f192]) ).
fof(f534,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,[],[f192]) ).
fof(f535,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,[],[f192]) ).
fof(f550,plain,
vd1287 != vd1329,
inference(cnf_transformation,[],[f22]) ).
fof(f552,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f24]) ).
fof(f553,plain,
vd1287 != vd1302,
inference(cnf_transformation,[],[f25]) ).
fof(f587,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f59]) ).
fof(f590,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f62]) ).
fof(f594,plain,
rline(vd1297),
inference(cnf_transformation,[],[f66]) ).
fof(f595,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f67]) ).
fof(f597,plain,
rline(vd1295),
inference(cnf_transformation,[],[f69]) ).
fof(f603,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,[],[f239]) ).
fof(f604,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f75]) ).
fof(f605,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f76]) ).
fof(f606,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f77]) ).
fof(f607,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f78]) ).
fof(f608,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f79]) ).
fof(f611,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,[],[f438]) ).
fof(f612,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f438]) ).
fof(f613,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,[],[f438]) ).
fof(f614,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f247]) ).
fof(f619,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,[],[f255]) ).
fof(f631,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,[],[f446]) ).
fof(f633,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f271]) ).
fof(f634,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f447]) ).
fof(f635,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f447]) ).
fof(f640,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,[],[f281]) ).
fof(f653,plain,
! [X3,X0,X1,X4] :
( rcircle(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f452]) ).
fof(f654,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f452]) ).
fof(f655,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f452]) ).
fof(f660,plain,
v0 = vd684,
inference(cnf_transformation,[],[f109]) ).
fof(f681,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f306]) ).
fof(f682,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,[],[f308]) ).
fof(f703,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,[],[f330]) ).
fof(f830,plain,
vangle(sK3,vd1303,sK2) != vangle(sK3,vd1329,sK1),
inference(definition_unfolding,[],[f506,f521,f518,f523,f521,f525]) ).
fof(f831,plain,
vf(vd1303,sK2) = vf(vd1329,sK1),
inference(definition_unfolding,[],[f507,f518,f523,f525]) ).
fof(f834,plain,
~ rR(sK3,sK2,vd1329),
inference(definition_unfolding,[],[f510,f521,f523]) ).
fof(f835,plain,
~ rR(sK3,sK1,vd1303),
inference(definition_unfolding,[],[f511,f521,f525,f518]) ).
fof(f836,plain,
rR(vd1329,sK3,vd1300),
inference(definition_unfolding,[],[f512,f521,f514]) ).
fof(f837,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f517,f525,f521,f518]) ).
fof(f838,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f515,f523,f521,f514]) ).
fof(f839,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f529,f521,f523,f521,f525]) ).
fof(f840,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f528,f523,f525]) ).
fof(f845,plain,
vd1329 != sK3,
inference(definition_unfolding,[],[f550,f521]) ).
fof(f847,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f552,f521,f525]) ).
fof(f848,plain,
vd1303 != sK3,
inference(definition_unfolding,[],[f553,f521,f518]) ).
fof(f881,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f587,f521,f523]) ).
fof(f884,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f590,f518]) ).
fof(f888,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f595,f523]) ).
fof(f890,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f605,f514]) ).
fof(f891,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f606,f525]) ).
fof(f892,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f607,f521]) ).
fof(f893,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f608,f521]) ).
fof(f894,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,[],[f613,f660]) ).
fof(f895,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f612,f660]) ).
fof(f896,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,[],[f611,f660]) ).
fof(f897,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f635,f660]) ).
fof(f898,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f634,f660]) ).
fof(f903,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,[],[f530]) ).
fof(f904,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,[],[f903]) ).
fof(f905,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,[],[f904]) ).
fof(f906,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,[],[f905]) ).
fof(f907,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,[],[f906]) ).
fof(f908,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,[],[f907]) ).
fof(f909,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f908]) ).
fof(f914,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,[],[f535]) ).
fof(f915,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f914]) ).
fof(f916,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f915]) ).
fof(f917,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,[],[f534]) ).
fof(f918,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f917]) ).
fof(f919,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f918]) ).
fof(f920,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f919]) ).
fof(f921,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f533]) ).
fof(f922,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f921]) ).
fof(f923,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f922]) ).
fof(f924,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f923]) ).
fof(f925,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,[],[f532]) ).
fof(f926,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f925]) ).
fof(f927,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f926]) ).
fof(f1022,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,[],[f603]) ).
fof(f1023,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,[],[f1022]) ).
fof(f1024,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,[],[f1023]) ).
fof(f1025,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1024]) ).
fof(f1032,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,[],[f894]) ).
fof(f1033,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,[],[f1032]) ).
fof(f1034,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,[],[f1033]) ).
fof(f1035,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,[],[f1034]) ).
fof(f1036,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(X4,X7)
| vangle(X2,X0,X4) != vd684
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f895]) ).
fof(f1037,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X2,X0,X5)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1036]) ).
fof(f1038,plain,
! [X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X3,X0,X5)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1037]) ).
fof(f1039,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1038]) ).
fof(f1040,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,[],[f896]) ).
fof(f1041,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,[],[f1040]) ).
fof(f1042,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,[],[f1041]) ).
fof(f1043,plain,
! [X3,X1,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1042]) ).
fof(f1044,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f614]) ).
fof(f1045,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1044]) ).
fof(f1054,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,[],[f619]) ).
fof(f1055,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,[],[f1054]) ).
fof(f1056,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,[],[f1055]) ).
fof(f1057,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ron(X5,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1056]) ).
fof(f1094,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,[],[f631]) ).
fof(f1095,plain,
! [X2,X3,X1,X5] :
( vf(X2,X1) != vf(X2,X5)
| ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1094]) ).
fof(f1096,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X0,X1,X3) = vangle(X3,X1,X0)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f633]) ).
fof(f1097,plain,
! [X3,X0,X4,X5] :
( vangle(X0,X4,X3) = vangle(X3,X4,X0)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1096]) ).
fof(f1098,plain,
! [X3,X4,X5] :
( vangle(X3,X4,X5) = vangle(X5,X4,X3)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1097]) ).
fof(f1099,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f897]) ).
fof(f1100,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1099]) ).
fof(f1101,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1100]) ).
fof(f1102,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f898]) ).
fof(f1103,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1102]) ).
fof(f1117,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,[],[f640]) ).
fof(f1118,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,[],[f1117]) ).
fof(f1119,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,[],[f1118]) ).
fof(f1120,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X4,X7,X6)
| rR(X4,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1119]) ).
fof(f1153,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f655]) ).
fof(f1154,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1153]) ).
fof(f1155,plain,
! [X3,X0,X4] :
( rcenter(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f654]) ).
fof(f1156,plain,
! [X3,X4] :
( rcenter(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1155]) ).
fof(f1157,plain,
! [X3,X0,X4] :
( rcircle(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f653]) ).
fof(f1158,plain,
! [X3,X4] :
( rcircle(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1157]) ).
fof(f1212,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,[],[f682]) ).
fof(f1213,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,[],[f1212]) ).
fof(f1214,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,[],[f1213]) ).
fof(f1215,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| X4 = X5
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1214]) ).
fof(f1292,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,[],[f703]) ).
fof(f1293,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,[],[f1292]) ).
fof(f1294,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,[],[f1293]) ).
fof(f1295,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,[],[f1294]) ).
fof(f1296,plain,
! [X8,X6,X9,X7,X4] :
( rR(X9,X8,X7)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X9,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1295]) ).
fof(f1673,definition,
sF52 = vangle(sK3,vd1303,sK2),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1674,plain,
vangle(sK3,vd1303,sK2) = sF52,
inference(reorient_equations,[],[f1673]) ).
fof(f1675,definition,
sF53 = vangle(sK3,vd1329,sK1),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1676,plain,
vangle(sK3,vd1329,sK1) = sF53,
inference(reorient_equations,[],[f1675]) ).
fof(f1677,plain,
sF52 != sF53,
inference(definition_folding,[],[f830,f1676,f1674]) ).
fof(f1678,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f1101]) ).
fof(f1679,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f924]) ).
fof(f1680,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f920]) ).
fof(f1763,definition,
( spl54_20
<=> vd1300 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_20])],[avatar_definition]) ).
fof(f1764,plain,
( vd1300 = sK3
| ~ spl54_20 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1765,plain,
( vd1300 != sK3
| spl54_20 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1769,definition,
( spl54_21
<=> sK1 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f1771,plain,
( sK1 != sK3
| spl54_21 ),
inference(avatar_component_clause,[],[f1769]) ).
fof(f1776,definition,
( spl54_22
<=> rR(sK3,sK2,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_22])],[avatar_definition]) ).
fof(f1778,plain,
( ~ rR(sK3,sK2,vd1300)
| spl54_22 ),
inference(avatar_component_clause,[],[f1776]) ).
fof(f1846,plain,
~ spl54_21,
inference(avatar_split_clause,[],[f847,f1769]) ).
fof(f1849,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f927,f837]) ).
fof(f1852,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1849,f516]) ).
fof(f1854,plain,
( rR(sK1,vd1303,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1852,f524]) ).
fof(f1856,plain,
rR(sK1,vd1303,sK3),
inference(forward_subsumption_resolution,[],[f1854,f520]) ).
fof(f1902,plain,
vangle(vd1329,sK3,vd1329) = vangle(sK2,sK3,sK2),
inference(unit_resulting_resolution,[],[f909,f520,f522,f522,f513,f513,f597,f597,f604,f888,f845,f881,f834,f893,f888,f881,f845,f834,f604]) ).
fof(f1904,plain,
vd684 = vf(vd1329,vd1329),
inference(unit_resulting_resolution,[],[f1678,f513]) ).
fof(f1906,plain,
vd684 = vf(vd1303,vd1303),
inference(unit_resulting_resolution,[],[f1678,f516]) ).
fof(f1910,plain,
vd684 = vangle(sK2,sK3,vd1329),
inference(unit_resulting_resolution,[],[f1043,f520,f522,f513,f597,f888,f604,f893,f881,f845,f834]) ).
fof(f1911,plain,
! [X0] :
( vd684 = sF53
| rR(vd1329,sK3,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK1
| vd1329 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1329) ),
inference(superposition,[],[f1043,f1676]) ).
fof(f1940,plain,
vangle(sK3,vd1303,sK2) = vangle(sK2,vd1303,sK3),
inference(unit_resulting_resolution,[],[f1098,f520,f516,f522,f848,f881]) ).
fof(f1974,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X1,X4)
| rR(X1,X4,X0)
| rR(X1,X3,X2)
| X0 = X1
| X1 = X2
| X1 = X4
| X1 = X3
| ~ ron(X0,X5)
| ~ ron(X4,X5)
| ~ ron(X2,X6)
| ~ ron(X3,X6)
| ~ ron(X1,X6)
| ~ rline(X5)
| ~ rline(X6)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| X0 = X2
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(superposition,[],[f909,f1098]) ).
fof(f1975,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vangle(X0,X1,X2) = vangle(X3,X1,X4)
| rR(X1,X4,X0)
| rR(X1,X3,X2)
| X0 = X1
| X1 = X2
| X1 = X4
| X1 = X3
| ~ ron(X0,X5)
| ~ ron(X4,X5)
| ~ ron(X2,X6)
| ~ ron(X3,X6)
| ~ ron(X1,X6)
| ~ rline(X5)
| ~ rline(X6)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f1974]) ).
fof(f1997,plain,
sF52 = vangle(sK2,vd1303,sK3),
inference(forward_demodulation,[],[f1940,f1674]) ).
fof(f2036,plain,
vf(sK3,sK1) = vf(sK1,sK3),
inference(unit_resulting_resolution,[],[f1045,f520,f524]) ).
fof(f2060,plain,
vf(sK3,sK2) = vf(sK1,sK3),
inference(backward_demodulation,[],[f839,f2036]) ).
fof(f2072,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X0,X1,X2) != vd684
| ~ rR(X1,X3,X4)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| X1 = X4
| X1 = X3
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| rR(X1,X4,X2)
| rR(X1,X3,X0)
| X1 = X2
| X0 = X1
| X1 = X4
| X1 = X3
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| ~ ron(X0,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(superposition,[],[f1035,f909]) ).
fof(f2076,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X0,X1,X2) != vd684
| ~ rR(X1,X3,X4)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| X1 = X4
| X1 = X3
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| rR(X1,X4,X2)
| rR(X1,X3,X0)
| X1 = X2
| X0 = X1
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| ~ ron(X0,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f2072]) ).
fof(f2112,plain,
~ rR(vd1303,vd1303,sK3),
inference(unit_resulting_resolution,[],[f1679,f516,f520]) ).
fof(f2122,plain,
~ rR(vd1329,vd1300,vd1300),
inference(unit_resulting_resolution,[],[f1680,f513,f519]) ).
fof(f2172,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X0,X1,X2) != vd684
| ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| X1 = X4
| X1 = X3
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| rR(X1,X2,X4)
| rR(X1,X0,X3)
| X1 = X4
| X1 = X3
| X1 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| ~ ron(X1,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f1039,f909]) ).
fof(f2177,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X0,X1,X2) != vd684
| ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| X1 = X4
| X1 = X3
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1)
| rR(X1,X2,X4)
| rR(X1,X0,X3)
| X1 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| ~ ron(X1,X7)
| ~ rline(X6)
| ~ rline(X7)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f2172]) ).
fof(f2184,plain,
~ rR(sK3,sK2,vd1300),
inference(unit_resulting_resolution,[],[f916,f520,f522,f519,f838]) ).
fof(f2185,plain,
~ rR(sK3,vd1329,vd1300),
inference(unit_resulting_resolution,[],[f916,f520,f513,f519,f836]) ).
fof(f2186,plain,
~ rR(vd1303,sK1,sK3),
inference(unit_resulting_resolution,[],[f916,f516,f524,f520,f1856]) ).
fof(f2206,plain,
~ spl54_22,
inference(avatar_split_clause,[],[f2184,f1776]) ).
fof(f2271,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vd1295)
| ~ ron(sK3,X1)
| vd1295 = X1
| ~ rline(X1)
| ~ rline(vd1295)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1215,f893]) ).
fof(f2323,plain,
! [X0] :
( vd684 = sF53
| rR(vd1329,sK3,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK1
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f1911,f845]) ).
fof(f2346,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vd1295)
| ~ ron(sK3,X1)
| vd1295 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2271,f597]) ).
fof(f2363,plain,
! [X0] :
( vd684 = sF53
| rR(vd1329,sK3,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK1
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f2323,f524]) ).
fof(f2385,plain,
! [X0,X1] :
( ~ ron(sK3,X1)
| ~ ron(X0,vd1295)
| ~ ron(X0,X1)
| vd1295 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2346,f520]) ).
fof(f2402,plain,
! [X0] :
( vd684 = sF53
| rR(vd1329,sK3,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK1
| ~ rline(X0)
| ~ rpoint(vd1329) ),
inference(forward_subsumption_resolution,[],[f2363,f520]) ).
fof(f2434,plain,
! [X0] :
( vd684 = sF53
| rR(vd1329,sK3,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(vd1329,X0)
| vd1329 = sK1
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f2402,f513]) ).
fof(f2456,definition,
( spl54_36
<=> vd1303 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_36])],[avatar_definition]) ).
fof(f2457,plain,
( vd1303 != sK2
| spl54_36 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f2458,plain,
( vd1303 = sK2
| ~ spl54_36 ),
inference(avatar_component_clause,[],[f2456]) ).
fof(f2464,definition,
( spl54_38
<=> vd1329 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_38])],[avatar_definition]) ).
fof(f2465,plain,
( vd1329 != sK1
| spl54_38 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2466,plain,
( vd1329 = sK1
| ~ spl54_38 ),
inference(avatar_component_clause,[],[f2464]) ).
fof(f2487,definition,
( spl54_43
<=> rR(vd1303,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_43])],[avatar_definition]) ).
fof(f2488,plain,
( ~ rR(vd1303,sK3,sK2)
| spl54_43 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f2489,plain,
( rR(vd1303,sK3,sK2)
| ~ spl54_43 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f2491,definition,
( spl54_44
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_44])],[avatar_definition]) ).
fof(f2492,plain,
( vd684 != sF52
| spl54_44 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f2493,plain,
( vd684 = sF52
| ~ spl54_44 ),
inference(avatar_component_clause,[],[f2491]) ).
fof(f2496,definition,
( spl54_45
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).
fof(f2497,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0)
| ~ ron(sK1,X0) )
| ~ spl54_45 ),
inference(avatar_component_clause,[],[f2496]) ).
fof(f2499,definition,
( spl54_46
<=> rR(vd1329,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_46])],[avatar_definition]) ).
fof(f2501,plain,
( rR(vd1329,sK3,sK1)
| ~ spl54_46 ),
inference(avatar_component_clause,[],[f2499]) ).
fof(f2503,definition,
( spl54_47
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_47])],[avatar_definition]) ).
fof(f2505,plain,
( vd684 = sF53
| ~ spl54_47 ),
inference(avatar_component_clause,[],[f2503]) ).
fof(f2508,plain,
( spl54_38
| spl54_45
| spl54_46
| spl54_47 ),
inference(avatar_split_clause,[],[f2434,f2503,f2499,f2496,f2464]) ).
fof(f2743,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| ~ rline(vd1297)
| sK3 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f2385,f892]) ).
fof(f2745,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1295 = vd1297
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2743,f594]) ).
fof(f2747,definition,
( spl54_62
<=> vd1295 = vd1297 ),
introduced(definition,[new_symbols(definition,[spl54_62])],[avatar_definition]) ).
fof(f2749,plain,
( vd1295 = vd1297
| ~ spl54_62 ),
inference(avatar_component_clause,[],[f2747]) ).
fof(f2751,definition,
( spl54_63
<=> ! [X0] :
( ~ ron(X0,vd1295)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297) ) ),
introduced(definition,[new_symbols(definition,[spl54_63])],[avatar_definition]) ).
fof(f2752,plain,
( ! [X0] :
( ~ ron(X0,vd1297)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1295) )
| ~ spl54_63 ),
inference(avatar_component_clause,[],[f2751]) ).
fof(f2753,plain,
( spl54_62
| spl54_63 ),
inference(avatar_split_clause,[],[f2745,f2751,f2747]) ).
fof(f3278,plain,
( rR(vd1329,vd1300,vd1300)
| ~ spl54_20 ),
inference(backward_demodulation,[],[f836,f1764]) ).
fof(f3440,plain,
( $false
| ~ spl54_20 ),
inference(forward_subsumption_resolution,[],[f3278,f2122]) ).
fof(f3441,plain,
~ spl54_20,
inference(avatar_contradiction_clause,[],[f3440]) ).
fof(f3984,plain,
( vd684 = vangle(vd1329,sK3,vd1300)
| spl54_20 ),
inference(unit_resulting_resolution,[],[f1043,f520,f513,f519,f597,f604,f890,f893,f845,f1765,f2185]) ).
fof(f4183,plain,
( ron(sK1,vd1295)
| ~ spl54_62 ),
inference(forward_demodulation,[],[f891,f2749]) ).
fof(f4264,plain,
! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f837,f1057]) ).
fof(f4268,plain,
! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4264,f516]) ).
fof(f4272,plain,
! [X0] :
( ~ ron(sK1,X0)
| ~ ron(sK3,X0)
| ron(vd1303,X0)
| ~ rline(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4268,f524]) ).
fof(f4276,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ron(vd1303,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f4272,f520]) ).
fof(f4296,plain,
( ron(sK1,sK12(sK3,sK1))
| spl54_21 ),
inference(unit_resulting_resolution,[],[f1154,f520,f524,f1771]) ).
fof(f4297,plain,
( rcenter(sK3,sK12(sK3,sK1))
| spl54_21 ),
inference(unit_resulting_resolution,[],[f1156,f520,f524,f1771]) ).
fof(f4510,plain,
( vd684 != vf(vd1303,sK2)
| spl54_36 ),
inference(unit_resulting_resolution,[],[f1103,f516,f522,f2457]) ).
fof(f4519,plain,
( vd684 != vf(vd1329,sK1)
| spl54_36 ),
inference(forward_demodulation,[],[f4510,f831]) ).
fof(f4623,definition,
( spl54_73
<=> vd1303 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_73])],[avatar_definition]) ).
fof(f4624,plain,
( vd1303 != sK1
| spl54_73 ),
inference(avatar_component_clause,[],[f4623]) ).
fof(f4625,plain,
( vd1303 = sK1
| ~ spl54_73 ),
inference(avatar_component_clause,[],[f4623]) ).
fof(f4637,plain,
( rR(vd1303,vd1303,sK3)
| ~ spl54_73 ),
inference(backward_demodulation,[],[f1856,f4625]) ).
fof(f4793,plain,
( $false
| ~ spl54_73 ),
inference(forward_subsumption_resolution,[],[f4637,f2112]) ).
fof(f4794,plain,
~ spl54_73,
inference(avatar_contradiction_clause,[],[f4793]) ).
fof(f5003,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1329,sK3,vd1300)
| spl54_20
| spl54_22 ),
inference(unit_resulting_resolution,[],[f909,f520,f522,f522,f513,f519,f597,f597,f893,f888,f604,f888,f890,f881,f834,f845,f881,f1765,f1778]) ).
fof(f5014,plain,
( vd684 = vangle(sK2,sK3,sK2)
| spl54_20
| spl54_22 ),
inference(forward_demodulation,[],[f5003,f3984]) ).
fof(f5020,plain,
( vd684 = vangle(vd1329,sK3,vd1329)
| spl54_20
| spl54_22 ),
inference(backward_demodulation,[],[f1902,f5014]) ).
fof(f5070,plain,
( ~ ron(sK1,vd1295)
| ~ spl54_45 ),
inference(unit_resulting_resolution,[],[f2497,f597,f604,f893]) ).
fof(f5079,plain,
( $false
| ~ spl54_45
| ~ spl54_62 ),
inference(forward_subsumption_resolution,[],[f5070,f4183]) ).
fof(f5080,plain,
( ~ spl54_45
| ~ spl54_62 ),
inference(avatar_contradiction_clause,[],[f5079]) ).
fof(f5224,plain,
( vd684 != vf(vd1329,vd1329)
| spl54_36
| ~ spl54_38 ),
inference(forward_demodulation,[],[f4519,f2466]) ).
fof(f5258,plain,
( $false
| spl54_36
| ~ spl54_38 ),
inference(forward_subsumption_resolution,[],[f5224,f1904]) ).
fof(f5259,plain,
( spl54_36
| ~ spl54_38 ),
inference(avatar_contradiction_clause,[],[f5258]) ).
fof(f5399,plain,
( ~ rR(sK3,vd1329,sK1)
| ~ spl54_46 ),
inference(unit_resulting_resolution,[],[f916,f513,f520,f524,f2501]) ).
fof(f5402,plain,
( ron(sK1,vd1295)
| ~ spl54_46 ),
inference(unit_resulting_resolution,[],[f1057,f520,f513,f524,f597,f893,f604,f2501]) ).
fof(f5488,plain,
( vd684 != vf(vd1329,sK1)
| spl54_38 ),
inference(unit_resulting_resolution,[],[f1103,f513,f524,f2465]) ).
fof(f5542,plain,
( vd684 != sF52
| ~ spl54_47 ),
inference(backward_demodulation,[],[f1677,f2505]) ).
fof(f5663,definition,
( spl54_76
<=> rR(sK3,vd1329,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_76])],[avatar_definition]) ).
fof(f5664,plain,
( ~ rR(sK3,vd1329,sK1)
| spl54_76 ),
inference(avatar_component_clause,[],[f5663]) ).
fof(f5773,plain,
( rR(sK1,sK3,sK2)
| ~ spl54_43 ),
inference(unit_resulting_resolution,[],[f1120,f520,f516,f522,f524,f837,f2489]) ).
fof(f5808,plain,
( ~ rR(sK3,sK1,sK2)
| ~ spl54_43 ),
inference(unit_resulting_resolution,[],[f916,f524,f520,f522,f5773]) ).
fof(f5812,plain,
( rR(sK1,sK3,vd1300)
| ~ spl54_43 ),
inference(unit_resulting_resolution,[],[f1120,f520,f522,f519,f524,f838,f5773]) ).
fof(f5927,plain,
( ron(sK1,vd1295)
| ~ spl54_43 ),
inference(unit_resulting_resolution,[],[f1025,f520,f524,f519,f597,f893,f890,f5812]) ).
fof(f5969,plain,
( ~ rR(sK3,sK1,vd1329)
| spl54_76 ),
inference(unit_resulting_resolution,[],[f927,f524,f520,f513,f5664]) ).
fof(f9009,plain,
! [X0] :
( vd684 != vd684
| ron(vd1329,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1039,f1910]) ).
fof(f9014,plain,
! [X0] :
( ron(vd1329,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| vd1329 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(trivial_inequality_removal,[],[f9009]) ).
fof(f9554,plain,
( rcircle(sK12(sK3,sK1))
| spl54_21 ),
inference(unit_resulting_resolution,[],[f1158,f520,f524,f1771]) ).
fof(f9997,plain,
! [X0,X1] :
( vd1303 = sK1
| ~ ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ rinside(sK3,X0)
| ~ ron(vd1303,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rcircle(X0)
| ~ rline(X1)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1296,f835]) ).
fof(f10029,plain,
( ! [X0,X1] :
( ~ ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ rinside(sK3,X0)
| ~ ron(vd1303,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rcircle(X0)
| ~ rline(X1)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_73 ),
inference(forward_subsumption_resolution,[],[f9997,f4624]) ).
fof(f10051,plain,
( ! [X0,X1] :
( ~ ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ rinside(sK3,X0)
| ~ ron(vd1303,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rcircle(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(sK3) )
| spl54_73 ),
inference(forward_subsumption_resolution,[],[f10029,f516]) ).
fof(f10070,plain,
( ! [X0,X1] :
( ~ ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ rinside(sK3,X0)
| ~ ron(vd1303,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rcircle(X0)
| ~ rline(X1)
| ~ rpoint(sK3) )
| spl54_73 ),
inference(forward_subsumption_resolution,[],[f10051,f524]) ).
fof(f10083,plain,
( ! [X0,X1] :
( ~ ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ rinside(sK3,X0)
| ~ ron(vd1303,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rcircle(X0)
| ~ rline(X1) )
| spl54_73 ),
inference(forward_subsumption_resolution,[],[f10070,f520]) ).
fof(f10090,plain,
( ! [X0,X1] :
( ~ ron(vd1303,X0)
| ~ ron(sK1,X0)
| ~ rinside(sK3,X0)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rcircle(X0)
| ~ rline(X1) )
| spl54_73 ),
inference(forward_subsumption_resolution,[],[f10083,f4276]) ).
fof(f10110,definition,
( spl54_114
<=> ! [X1] :
( ~ ron(sK1,X1)
| ~ rline(X1)
| ~ ron(sK3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_114])],[avatar_definition]) ).
fof(f10111,plain,
( ! [X1] :
( ~ ron(sK3,X1)
| ~ rline(X1)
| ~ ron(sK1,X1) )
| ~ spl54_114 ),
inference(avatar_component_clause,[],[f10110]) ).
fof(f10113,definition,
( spl54_115
<=> ! [X0] :
( ~ ron(vd1303,X0)
| ~ rcircle(X0)
| ~ rinside(sK3,X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_115])],[avatar_definition]) ).
fof(f10114,plain,
( ! [X0] :
( ~ rinside(sK3,X0)
| ~ rcircle(X0)
| ~ ron(vd1303,X0)
| ~ ron(sK1,X0) )
| ~ spl54_115 ),
inference(avatar_component_clause,[],[f10113]) ).
fof(f10115,plain,
( spl54_114
| spl54_115
| spl54_73 ),
inference(avatar_split_clause,[],[f10090,f4623,f10113,f10110]) ).
fof(f10661,plain,
! [X0] :
( ron(vd1329,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1329)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f9014,f845]) ).
fof(f10662,plain,
! [X0] :
( ron(vd1329,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f10661,f513]) ).
fof(f10663,plain,
! [X0] :
( ron(vd1329,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f10662,f520]) ).
fof(f12193,plain,
( $false
| ~ spl54_44
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f5542,f2493]) ).
fof(f12194,plain,
( ~ spl54_44
| ~ spl54_47 ),
inference(avatar_contradiction_clause,[],[f12193]) ).
fof(f12746,definition,
( spl54_128
<=> ron(vd1329,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_128])],[avatar_definition]) ).
fof(f12748,plain,
( ~ ron(vd1329,vd1297)
| spl54_128 ),
inference(avatar_component_clause,[],[f12746]) ).
fof(f12809,plain,
( vd684 = vangle(sK1,vd1303,sK3)
| spl54_73 ),
inference(unit_resulting_resolution,[],[f1043,f516,f524,f520,f594,f4624,f848,f891,f2186,f892,f884]) ).
fof(f12903,plain,
( ~ ron(vd1329,vd1297)
| ~ spl54_63 ),
inference(unit_resulting_resolution,[],[f2752,f513,f604,f845]) ).
fof(f16707,plain,
( rinside(sK3,sK12(sK3,sK1))
| spl54_21 ),
inference(resolution,[],[f681,f4297]) ).
fof(f16709,plain,
( ~ ron(vd1303,sK12(sK3,sK1))
| spl54_21
| ~ spl54_115 ),
inference(unit_resulting_resolution,[],[f10114,f9554,f4296,f16707]) ).
fof(f18357,plain,
( ~ rline(vd1295)
| ~ ron(sK1,vd1295)
| ~ spl54_114 ),
inference(resolution,[],[f10111,f893]) ).
fof(f18367,plain,
( ~ ron(sK1,vd1295)
| ~ spl54_114 ),
inference(forward_subsumption_resolution,[],[f18357,f597]) ).
fof(f22886,plain,
( ~ spl54_128
| ~ spl54_63 ),
inference(avatar_split_clause,[],[f12903,f2751,f12746]) ).
fof(f23503,definition,
( spl54_280
<=> rR(sK3,sK1,vd1329) ),
introduced(definition,[new_symbols(definition,[spl54_280])],[avatar_definition]) ).
fof(f23505,plain,
( ~ rR(sK3,sK1,vd1329)
| spl54_280 ),
inference(avatar_component_clause,[],[f23503]) ).
fof(f23864,plain,
( ~ spl54_76
| ~ spl54_46 ),
inference(avatar_split_clause,[],[f5399,f2499,f5663]) ).
fof(f23891,plain,
( ~ spl54_280
| spl54_76 ),
inference(avatar_split_clause,[],[f5969,f5663,f23503]) ).
fof(f23902,plain,
! [X0] :
( ron(vd1329,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f10663,f881]) ).
fof(f24041,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ron(vd1329,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f23902,f522]) ).
fof(f26081,plain,
( ~ rR(sK3,sK1,sK2)
| spl54_20
| spl54_21
| spl54_22
| ~ spl54_46
| spl54_280 ),
inference(unit_resulting_resolution,[],[f2076,f513,f513,f597,f597,f893,f5402,f604,f888,f604,f522,f597,f5402,f893,f520,f524,f845,f845,f881,f834,f1771,f5020,f23505]) ).
fof(f26686,definition,
( spl54_305
<=> ron(sK2,sK12(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_305])],[avatar_definition]) ).
fof(f26687,plain,
( ron(sK2,sK12(sK3,sK1))
| ~ spl54_305 ),
inference(avatar_component_clause,[],[f26686]) ).
fof(f26688,plain,
( ~ ron(sK2,sK12(sK3,sK1))
| spl54_305 ),
inference(avatar_component_clause,[],[f26686]) ).
fof(f26708,plain,
( vf(sK3,sK2) != vf(sK3,sK1)
| spl54_21
| spl54_305 ),
inference(unit_resulting_resolution,[],[f1095,f522,f524,f4297,f4296,f26688]) ).
fof(f26709,plain,
( vf(sK3,sK2) != vf(sK1,sK3)
| spl54_21
| spl54_305 ),
inference(forward_demodulation,[],[f26708,f2036]) ).
fof(f26710,plain,
( $false
| spl54_21
| spl54_305 ),
inference(forward_subsumption_resolution,[],[f26709,f2060]) ).
fof(f26711,plain,
( spl54_21
| spl54_305 ),
inference(avatar_contradiction_clause,[],[f26710]) ).
fof(f26720,plain,
( rR(sK3,sK1,sK2)
| spl54_21
| ~ spl54_46
| ~ spl54_305 ),
inference(unit_resulting_resolution,[],[f1296,f520,f524,f522,f597,f888,f893,f5402,f840,f9554,f16707,f4296,f26687]) ).
fof(f26736,plain,
( $false
| spl54_20
| spl54_21
| spl54_22
| ~ spl54_46
| spl54_280
| ~ spl54_305 ),
inference(forward_subsumption_resolution,[],[f26720,f26081]) ).
fof(f26737,plain,
( spl54_20
| spl54_21
| spl54_22
| ~ spl54_46
| spl54_280
| ~ spl54_305 ),
inference(avatar_contradiction_clause,[],[f26736]) ).
fof(f26883,plain,
( ~ ron(sK2,vd1297)
| ron(vd1329,vd1297)
| ~ rline(vd1297) ),
inference(resolution,[],[f892,f24041]) ).
fof(f26887,plain,
( ~ ron(sK2,vd1297)
| ~ rline(vd1297)
| spl54_128 ),
inference(forward_subsumption_resolution,[],[f26883,f12748]) ).
fof(f26892,plain,
( ~ ron(sK2,vd1297)
| spl54_128 ),
inference(forward_subsumption_resolution,[],[f26887,f594]) ).
fof(f27430,plain,
( vangle(sK1,vd1303,sK3) = vangle(sK2,vd1303,sK3)
| spl54_36
| spl54_43
| spl54_73 ),
inference(unit_resulting_resolution,[],[f1975,f597,f516,f524,f520,f520,f522,f594,f888,f893,f881,f2457,f2488,f848,f891,f892,f4624,f848,f2186,f884]) ).
fof(f27480,plain,
( ron(sK2,vd1297)
| spl54_36
| spl54_43
| spl54_73 ),
inference(unit_resulting_resolution,[],[f2177,f524,f520,f594,f597,f594,f516,f520,f893,f888,f522,f884,f892,f891,f892,f4624,f848,f848,f2186,f2457,f2488,f12809,f884]) ).
fof(f27602,plain,
( sF52 = vangle(sK1,vd1303,sK3)
| spl54_36
| spl54_43
| spl54_73 ),
inference(forward_demodulation,[],[f27430,f1997]) ).
fof(f27622,plain,
( $false
| spl54_36
| spl54_43
| spl54_73
| spl54_128 ),
inference(forward_subsumption_resolution,[],[f27480,f26892]) ).
fof(f27623,plain,
( spl54_36
| spl54_43
| spl54_73
| spl54_128 ),
inference(avatar_contradiction_clause,[],[f27622]) ).
fof(f27639,plain,
( vd684 = sF52
| spl54_36
| spl54_43
| spl54_73 ),
inference(forward_demodulation,[],[f27602,f12809]) ).
fof(f27642,plain,
( $false
| spl54_36
| spl54_43
| spl54_44
| spl54_73 ),
inference(forward_subsumption_resolution,[],[f27639,f2492]) ).
fof(f27643,plain,
( spl54_36
| spl54_43
| spl54_44
| spl54_73 ),
inference(avatar_contradiction_clause,[],[f27642]) ).
fof(f29381,definition,
( spl54_317
<=> rpoint(sK2) ),
introduced(definition,[new_symbols(definition,[spl54_317])],[avatar_definition]) ).
fof(f29382,plain,
( rpoint(sK2)
| ~ spl54_317 ),
inference(avatar_component_clause,[],[f29381]) ).
fof(f29560,plain,
spl54_317,
inference(avatar_split_clause,[],[f522,f29381]) ).
fof(f31422,plain,
( rR(sK3,sK1,sK2)
| spl54_21
| ~ spl54_43
| ~ spl54_305
| ~ spl54_317 ),
inference(unit_resulting_resolution,[],[f1296,f520,f524,f29382,f597,f893,f9554,f16707,f4296,f26687,f888,f840,f5927]) ).
fof(f31686,plain,
( $false
| spl54_21
| ~ spl54_43
| ~ spl54_305
| ~ spl54_317 ),
inference(forward_subsumption_resolution,[],[f31422,f5808]) ).
fof(f31687,plain,
( spl54_21
| ~ spl54_43
| ~ spl54_305
| ~ spl54_317 ),
inference(avatar_contradiction_clause,[],[f31686]) ).
fof(f31733,plain,
( vf(vd1329,sK1) = vf(vd1303,vd1303)
| ~ spl54_36 ),
inference(backward_demodulation,[],[f831,f2458]) ).
fof(f32129,plain,
( ron(vd1303,sK12(sK3,sK1))
| ~ spl54_36
| ~ spl54_305 ),
inference(backward_demodulation,[],[f26687,f2458]) ).
fof(f32229,plain,
( $false
| spl54_21
| ~ spl54_36
| ~ spl54_115
| ~ spl54_305 ),
inference(forward_subsumption_resolution,[],[f32129,f16709]) ).
fof(f32230,plain,
( spl54_21
| ~ spl54_36
| ~ spl54_115
| ~ spl54_305 ),
inference(avatar_contradiction_clause,[],[f32229]) ).
fof(f32363,plain,
( vd684 = vf(vd1329,sK1)
| ~ spl54_36 ),
inference(forward_demodulation,[],[f31733,f1906]) ).
fof(f32489,plain,
( $false
| ~ spl54_36
| spl54_38 ),
inference(forward_subsumption_resolution,[],[f32363,f5488]) ).
fof(f32490,plain,
( ~ spl54_36
| spl54_38 ),
inference(avatar_contradiction_clause,[],[f32489]) ).
fof(f33086,plain,
( ~ ron(vd1329,vd1295)
| ~ spl54_38
| ~ spl54_114 ),
inference(forward_demodulation,[],[f18367,f2466]) ).
fof(f33519,plain,
( $false
| ~ spl54_38
| ~ spl54_114 ),
inference(forward_subsumption_resolution,[],[f33086,f604]) ).
fof(f33520,plain,
( ~ spl54_38
| ~ spl54_114 ),
inference(avatar_contradiction_clause,[],[f33519]) ).
cnf(s40,plain,
~ spl54_21,
inference(sat_conversion,[],[f1846]) ).
cnf(s42,plain,
~ spl54_22,
inference(sat_conversion,[],[f2206]) ).
cnf(s68,plain,
( spl54_38
| spl54_45
| spl54_46
| spl54_47 ),
inference(sat_conversion,[],[f2508]) ).
cnf(s89,plain,
( spl54_62
| spl54_63 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s100,plain,
~ spl54_20,
inference(sat_conversion,[],[f3441]) ).
cnf(s114,plain,
~ spl54_73,
inference(sat_conversion,[],[f4794]) ).
cnf(s115,plain,
( ~ spl54_45
| ~ spl54_62 ),
inference(sat_conversion,[],[f5080]) ).
cnf(s120,plain,
( spl54_36
| ~ spl54_38 ),
inference(sat_conversion,[],[f5259]) ).
cnf(s206,plain,
( spl54_73
| spl54_114
| spl54_115 ),
inference(sat_conversion,[],[f10115]) ).
cnf(s226,plain,
( ~ spl54_44
| ~ spl54_47 ),
inference(sat_conversion,[],[f12194]) ).
cnf(s463,plain,
( ~ spl54_63
| ~ spl54_128 ),
inference(sat_conversion,[],[f22886]) ).
cnf(s591,plain,
( ~ spl54_46
| ~ spl54_76 ),
inference(sat_conversion,[],[f23864]) ).
cnf(s594,plain,
( spl54_76
| ~ spl54_280 ),
inference(sat_conversion,[],[f23891]) ).
cnf(s632,plain,
( spl54_21
| spl54_305 ),
inference(sat_conversion,[],[f26711]) ).
cnf(s636,plain,
( spl54_20
| spl54_21
| spl54_22
| ~ spl54_46
| spl54_280
| ~ spl54_305 ),
inference(sat_conversion,[],[f26737]) ).
cnf(s701,plain,
( spl54_36
| spl54_43
| spl54_73
| spl54_128 ),
inference(sat_conversion,[],[f27623]) ).
cnf(s710,plain,
( spl54_36
| spl54_43
| spl54_44
| spl54_73 ),
inference(sat_conversion,[],[f27643]) ).
cnf(s803,plain,
spl54_317,
inference(sat_conversion,[],[f29560]) ).
cnf(s838,plain,
( spl54_21
| ~ spl54_43
| ~ spl54_305
| ~ spl54_317 ),
inference(sat_conversion,[],[f31687]) ).
cnf(s842,plain,
( spl54_21
| ~ spl54_36
| ~ spl54_115
| ~ spl54_305 ),
inference(sat_conversion,[],[f32230]) ).
cnf(s852,plain,
( ~ spl54_36
| spl54_38 ),
inference(sat_conversion,[],[f32490]) ).
cnf(s863,plain,
( ~ spl54_38
| ~ spl54_114 ),
inference(sat_conversion,[],[f33520]) ).
cnf(s922,plain,
spl54_305,
inference(rat,[],[s632,s40]) ).
cnf(s926,plain,
~ spl54_43,
inference(rat,[],[s838,s803,s40,s922]) ).
cnf(s933,plain,
~ spl54_46,
inference(rat,[],[s594,s636,s591,s100,s42,s40,s922]) ).
cnf(s937,plain,
spl54_36,
inference(rat,[],[s115,s89,s68,s463,s226,s120,s701,s710,s933,s114,s926]) ).
cnf(s939,plain,
spl54_38,
inference(rat,[],[s852,s937]) ).
cnf(s940,plain,
~ spl54_115,
inference(rat,[],[s842,s922,s40,s937]) ).
cnf(s947,plain,
~ spl54_114,
inference(rat,[],[s863,s939]) ).
cnf(s952,plain,
$false,
inference(rat,[],[s206,s114,s940,s947]) ).
fof(f33816,plain,
$false,
inference(avatar_sat_refutation,[],[s952]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO323+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 08:05:04 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.32 Running first-order theorem proving
% 0.07/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.00/1.67 % (2051551)Detected formulas, will run a generic FOF schedule.
% 7.00/1.67 % (2051561)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=580712228:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.00/1.67 % (2051559)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3656354838:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.00/1.67 % (2051557)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=516317348:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.00/1.67 % (2051558)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=3150172791:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.00/1.67 % (2051560)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1177795245:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.00/1.67 % (2051556)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=3750901667:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.00/1.67 % (2051562)dis-21_1_sil=8000:lcm=predicate:random_seed=2553989283:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.00/1.67 % (2051559)Instruction limit reached!
% 7.00/1.67 % (2051559)------------------------------
% 7.00/1.67 % (2051559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.67 % (2051559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.67 % (2051559)CaDiCaL version: 2.1.3
% 7.00/1.67 % (2051559)Termination reason: Instruction limit
% 7.00/1.67 % (2051559)Termination phase: Saturation
% 7.00/1.67 % (2051559)Time elapsed: 0.029 s
% 7.00/1.67 % (2051559)Peak memory usage: 89 MB
% 7.00/1.67 % (2051559)Instructions burned: 109 (million)
% 7.00/1.67 % (2051560)Instruction limit reached!
% 7.00/1.67 % (2051560)------------------------------
% 7.00/1.67 % (2051560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.67 % (2051560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.67 % (2051560)CaDiCaL version: 2.1.3
% 7.00/1.67 % (2051560)Termination reason: Instruction limit
% 7.00/1.67 % (2051560)Termination phase: Saturation
% 7.00/1.67 % (2051560)Time elapsed: 0.035 s
% 7.00/1.67 % (2051560)Peak memory usage: 88 MB
% 7.00/1.67 % (2051560)Instructions burned: 120 (million)
% 7.00/1.67 % (2051562)Instruction limit reached!
% 7.00/1.67 % (2051562)------------------------------
% 7.00/1.67 % (2051562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.67 % (2051562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.67 % (2051562)CaDiCaL version: 2.1.3
% 7.00/1.67 % (2051562)Termination reason: Instruction limit
% 7.00/1.67 % (2051562)Termination phase: Saturation
% 7.00/1.67 % (2051562)Time elapsed: 0.037 s
% 7.00/1.67 % (2051562)Peak memory usage: 90 MB
% 7.00/1.67 % (2051562)Instructions burned: 132 (million)
% 7.00/1.67 % (2051561)Instruction limit reached!
% 7.00/1.67 % (2051561)------------------------------
% 7.00/1.67 % (2051561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/1.67 % (2051561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.67 % (2051561)CaDiCaL version: 2.1.3
% 7.00/1.67 % (2051561)Termination reason: Instruction limit
% 7.00/1.67 % (2051561)Termination phase: Saturation
% 7.00/1.67 % (2051561)Time elapsed: 0.046 s
% 7.00/1.67 % (2051561)Peak memory usage: 90 MB
% 7.00/1.67 % (2051561)Instructions burned: 140 (million)
% 7.00/1.67 % (2051571)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2176106238:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 7.00/1.67 % (2051570)lrs+10_1_sil=8000:sp=occurrence:random_seed=1671448158:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.00/1.67 % (2051572)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1835714798:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 7.00/1.67 % (2051573)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=366673156:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 7.00/1.67 % (2051571)Instruction limit reached!
% 11.60/2.23 % (2051571)------------------------------
% 11.60/2.23 % (2051571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051571)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051571)Termination reason: Instruction limit
% 11.60/2.23 % (2051571)Termination phase: Saturation
% 11.60/2.23 % (2051571)Time elapsed: 0.041 s
% 11.60/2.23 % (2051571)Peak memory usage: 90 MB
% 11.60/2.23 % (2051571)Instructions burned: 158 (million)
% 11.60/2.23 % (2051570)Instruction limit reached!
% 11.60/2.23 % (2051570)------------------------------
% 11.60/2.23 % (2051570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051570)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051570)Termination reason: Instruction limit
% 11.60/2.23 % (2051570)Termination phase: Saturation
% 11.60/2.23 % (2051570)Time elapsed: 0.077 s
% 11.60/2.23 % (2051570)Peak memory usage: 91 MB
% 11.60/2.23 % (2051570)Instructions burned: 286 (million)
% 11.60/2.23 % (2051573)Instruction limit reached!
% 11.60/2.23 % (2051573)------------------------------
% 11.60/2.23 % (2051573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051573)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051573)Termination reason: Instruction limit
% 11.60/2.23 % (2051573)Termination phase: Saturation
% 11.60/2.23 % (2051573)Time elapsed: 0.065 s
% 11.60/2.23 % (2051573)Peak memory usage: 90 MB
% 11.60/2.23 % (2051573)Instructions burned: 252 (million)
% 11.60/2.23 % (2051572)Instruction limit reached!
% 11.60/2.23 % (2051572)------------------------------
% 11.60/2.23 % (2051572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051572)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051572)Termination reason: Instruction limit
% 11.60/2.23 % (2051572)Termination phase: Saturation
% 11.60/2.23 % (2051572)Time elapsed: 0.081 s
% 11.60/2.23 % (2051572)Peak memory usage: 90 MB
% 11.60/2.23 % (2051572)Instructions burned: 329 (million)
% 11.60/2.23 % (2051578)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2900867598:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2997 on theBenchmark for (2997ds/294Mi)
% 11.60/2.23 % (2051579)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2650437596:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 11.60/2.23 % (2051580)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3034801908:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 11.60/2.23 % (2051581)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2778395510:i=127:av=off:fsr=off:sup=off_2996 on theBenchmark for (2996ds/127Mi)
% 11.60/2.23 % (2051580)Instruction limit reached!
% 11.60/2.23 % (2051580)------------------------------
% 11.60/2.23 % (2051580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051580)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051580)Termination reason: Instruction limit
% 11.60/2.23 % (2051580)Termination phase: Saturation
% 11.60/2.23 % (2051580)Time elapsed: 0.032 s
% 11.60/2.23 % (2051580)Peak memory usage: 90 MB
% 11.60/2.23 % (2051580)Instructions burned: 114 (million)
% 11.60/2.23 % (2051578)Instruction limit reached!
% 11.60/2.23 % (2051578)------------------------------
% 11.60/2.23 % (2051578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051578)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051578)Termination reason: Instruction limit
% 11.60/2.23 % (2051578)Termination phase: Saturation
% 11.60/2.23 % (2051578)Time elapsed: 0.073 s
% 11.60/2.23 % (2051578)Peak memory usage: 89 MB
% 11.60/2.23 % (2051578)Instructions burned: 295 (million)
% 11.60/2.23 % (2051581)Refutation not found, incomplete strategy
% 11.60/2.23 % (2051581)------------------------------
% 11.60/2.23 % (2051581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.23 % (2051581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.23 % (2051581)CaDiCaL version: 2.1.3
% 11.60/2.23 % (2051581)Termination reason: Refutation not found, incomplete strategy
% 20.96/3.51 % (2051581)Time elapsed: 0.014 s
% 20.96/3.51 % (2051581)Peak memory usage: 89 MB
% 20.96/3.51 % (2051581)Instructions burned: 54 (million)
% 20.96/3.51 % (2051587)lrs+10_1_sil=8000:sp=occurrence:random_seed=1318485859:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2995 on theBenchmark for (2995ds/907Mi)
% 20.96/3.51 % (2051586)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2710243095:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2995 on theBenchmark for (2995ds/114Mi)
% 20.96/3.51 % (2051586)Instruction limit reached!
% 20.96/3.51 % (2051586)------------------------------
% 20.96/3.51 % (2051586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.51 % (2051586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.51 % (2051586)CaDiCaL version: 2.1.3
% 20.96/3.51 % (2051586)Termination reason: Instruction limit
% 20.96/3.51 % (2051586)Termination phase: Saturation
% 20.96/3.51 % (2051586)Time elapsed: 0.025 s
% 20.96/3.51 % (2051586)Peak memory usage: 89 MB
% 20.96/3.51 % (2051586)Instructions burned: 118 (million)
% 20.96/3.51 % (2051581)------------------------------
% 20.96/3.51 % (2051581)------------------------------
% 20.96/3.51 % (2051590)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2199739671:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 20.96/3.51 % (2051590)Refutation not found, incomplete strategy
% 20.96/3.51 % (2051590)------------------------------
% 20.96/3.51 % (2051590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.51 % (2051590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.51 % (2051590)CaDiCaL version: 2.1.3
% 20.96/3.51 % (2051590)Termination reason: Refutation not found, incomplete strategy
% 20.96/3.51 % (2051590)Time elapsed: 0.010 s
% 20.96/3.51 % (2051590)Peak memory usage: 90 MB
% 20.96/3.51 % (2051590)Instructions burned: 34 (million)
% 20.96/3.51 % (2051591)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2989571040:i=5202:ss=axioms:sgt=16_2994 on theBenchmark for (2994ds/5202Mi)
% 20.96/3.51 % (2051587)Instruction limit reached!
% 20.96/3.51 % (2051587)------------------------------
% 20.96/3.51 % (2051587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.51 % (2051587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.51 % (2051587)CaDiCaL version: 2.1.3
% 20.96/3.51 % (2051587)Termination reason: Instruction limit
% 20.96/3.51 % (2051587)Termination phase: Saturation
% 20.96/3.51 % (2051587)Time elapsed: 0.246 s
% 20.96/3.51 % (2051587)Peak memory usage: 95 MB
% 20.96/3.51 % (2051587)Instructions burned: 909 (million)
% 20.96/3.51 % (2051590)------------------------------
% 20.96/3.51 % (2051590)------------------------------
% 20.96/3.51 % (2051594)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2456864268:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 20.96/3.51 % (2051594)Instruction limit reached!
% 20.96/3.51 % (2051594)------------------------------
% 20.96/3.51 % (2051594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.51 % (2051594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.51 % (2051594)CaDiCaL version: 2.1.3
% 20.96/3.51 % (2051594)Termination reason: Instruction limit
% 20.96/3.51 % (2051594)Termination phase: Saturation
% 20.96/3.51 % (2051594)Time elapsed: 0.037 s
% 20.96/3.51 % (2051594)Peak memory usage: 93 MB
% 20.96/3.51 % (2051594)Instructions burned: 138 (million)
% 20.96/3.51 % (2051595)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=162877470:st=8:i=592:sd=3:ep=RST:ss=axioms_2991 on theBenchmark for (2991ds/592Mi)
% 20.96/3.51 % (2051597)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=556258550:st=3:i=13193:sd=3:ss=axioms_2991 on theBenchmark for (2991ds/13193Mi)
% 20.96/3.51 % (2051595)Instruction limit reached!
% 20.96/3.51 % (2051595)------------------------------
% 20.96/3.51 % (2051595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.96/3.51 % (2051595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.96/3.51 % (2051595)CaDiCaL version: 2.1.3
% 20.96/3.51 % (2051595)Termination reason: Instruction limit
% 20.96/3.51 % (2051595)Termination phase: Saturation
% 20.96/3.51 % (2051595)Time elapsed: 0.159 s
% 20.96/3.51 % (2051595)Peak memory usage: 92 MB
% 20.96/3.51 % (2051595)Instructions burned: 595 (million)
% 20.96/3.51 % (2051600)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=1539526123:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/125Mi)
% 36.19/5.77 % (2051600)Instruction limit reached!
% 36.19/5.77 % (2051600)------------------------------
% 36.19/5.77 % (2051600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.19/5.77 % (2051600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.19/5.77 % (2051600)CaDiCaL version: 2.1.3
% 36.19/5.77 % (2051600)Termination reason: Instruction limit
% 36.19/5.77 % (2051600)Termination phase: Saturation
% 36.19/5.77 % (2051600)Time elapsed: 0.035 s
% 36.19/5.77 % (2051600)Peak memory usage: 91 MB
% 36.19/5.77 % (2051600)Instructions burned: 129 (million)
% 36.19/5.77 % (2051579)Instruction limit reached!
% 36.19/5.77 % (2051579)------------------------------
% 36.19/5.77 % (2051579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.19/5.77 % (2051579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.19/5.77 % (2051579)CaDiCaL version: 2.1.3
% 36.19/5.77 % (2051579)Termination reason: Instruction limit
% 36.19/5.77 % (2051579)Termination phase: Saturation
% 36.19/5.77 % (2051579)Time elapsed: 0.830 s
% 36.19/5.77 % (2051579)Peak memory usage: 143 MB
% 36.19/5.77 % (2051579)Instructions burned: 2353 (million)
% 36.19/5.77 % (2051602)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3094821785:i=134:gtgl=5:slsql=off:gtg=exists_sym_2988 on theBenchmark for (2988ds/134Mi)
% 36.19/5.77 % (2051602)Instruction limit reached!
% 36.19/5.77 % (2051602)------------------------------
% 36.19/5.77 % (2051602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.19/5.77 % (2051602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.19/5.77 % (2051602)CaDiCaL version: 2.1.3
% 36.19/5.77 % (2051602)Termination reason: Instruction limit
% 36.19/5.77 % (2051602)Termination phase: Saturation
% 36.19/5.77 % (2051602)Time elapsed: 0.043 s
% 36.19/5.77 % (2051602)Peak memory usage: 91 MB
% 36.19/5.77 % (2051602)Instructions burned: 136 (million)
% 36.19/5.77 % (2051603)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=547043384:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/141Mi)
% 36.19/5.77 % (2051603)Refutation not found, incomplete strategy
% 36.19/5.77 % (2051603)------------------------------
% 36.19/5.77 % (2051603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.19/5.77 % (2051603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.19/5.77 % (2051603)CaDiCaL version: 2.1.3
% 36.19/5.77 % (2051603)Termination reason: Refutation not found, incomplete strategy
% 36.19/5.77 % (2051603)Time elapsed: 0.007 s
% 36.19/5.77 % (2051603)Peak memory usage: 89 MB
% 36.19/5.77 % (2051603)Instructions burned: 26 (million)
% 36.19/5.77 % (2051606)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2292834117:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/431Mi)
% 36.19/5.77 % (2051606)Refutation not found, incomplete strategy
% 36.19/5.77 % (2051606)------------------------------
% 36.19/5.77 % (2051606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.19/5.77 % (2051606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.19/5.77 % (2051606)CaDiCaL version: 2.1.3
% 36.19/5.77 % (2051606)Termination reason: Refutation not found, incomplete strategy
% 36.19/5.77 % (2051606)Time elapsed: 0.003 s
% 36.19/5.77 % (2051606)Peak memory usage: 88 MB
% 36.19/5.77 % (2051606)Instructions burned: 11 (million)
% 36.19/5.77 % (2051603)------------------------------
% 36.19/5.77 % (2051603)------------------------------
% 36.19/5.77 % (2051606)------------------------------
% 36.19/5.77 % (2051606)------------------------------
% 36.19/5.77 % (2051608)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=2361985545:i=6060:aac=none:ins=25_2985 on theBenchmark for (2985ds/6060Mi)
% 36.19/5.77 % (2051610)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=18881988:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2984 on theBenchmark for (2984ds/150Mi)
% 36.19/5.77 % (2051610)Instruction limit reached!
% 36.19/5.77 % (2051610)------------------------------
% 36.19/5.77 % (2051610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051610)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051610)Termination reason: Instruction limit
% 37.10/5.88 % (2051610)Termination phase: Saturation
% 37.10/5.88 % (2051610)Time elapsed: 0.042 s
% 37.10/5.88 % (2051610)Peak memory usage: 92 MB
% 37.10/5.88 % (2051610)Instructions burned: 154 (million)
% 37.10/5.88 % (2051612)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=48185361:i=14155:bd=all_2982 on theBenchmark for (2982ds/14155Mi)
% 37.10/5.88 % (2051591)Instruction limit reached!
% 37.10/5.88 % (2051591)------------------------------
% 37.10/5.88 % (2051591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051591)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051591)Termination reason: Instruction limit
% 37.10/5.88 % (2051591)Termination phase: Saturation
% 37.10/5.88 % (2051591)Time elapsed: 1.347 s
% 37.10/5.88 % (2051591)Peak memory usage: 141 MB
% 37.10/5.88 % (2051591)Instructions burned: 5202 (million)
% 37.10/5.88 % (2051614)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3231563401:i=667:av=off:fsr=off_2979 on theBenchmark for (2979ds/667Mi)
% 37.10/5.88 % (2051614)Refutation not found, incomplete strategy
% 37.10/5.88 % (2051614)------------------------------
% 37.10/5.88 % (2051614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051614)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051614)Termination reason: Refutation not found, incomplete strategy
% 37.10/5.88 % (2051614)Time elapsed: 0.012 s
% 37.10/5.88 % (2051614)Peak memory usage: 89 MB
% 37.10/5.88 % (2051614)Instructions burned: 46 (million)
% 37.10/5.88 % (2051614)------------------------------
% 37.10/5.88 % (2051614)------------------------------
% 37.10/5.88 % (2051616)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2356888317:s2a=on:i=185:s2at=1.8:fdi=4_2976 on theBenchmark for (2976ds/185Mi)
% 37.10/5.88 % (2051616)Instruction limit reached!
% 37.10/5.88 % (2051616)------------------------------
% 37.10/5.88 % (2051616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051616)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051616)Termination reason: Instruction limit
% 37.10/5.88 % (2051616)Termination phase: Saturation
% 37.10/5.88 % (2051616)Time elapsed: 0.052 s
% 37.10/5.88 % (2051616)Peak memory usage: 93 MB
% 37.10/5.88 % (2051616)Instructions burned: 185 (million)
% 37.10/5.88 % (2051618)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3190942476:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2975 on theBenchmark for (2975ds/193Mi)
% 37.10/5.88 % (2051618)Instruction limit reached!
% 37.10/5.88 % (2051618)------------------------------
% 37.10/5.88 % (2051618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051618)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051618)Termination reason: Instruction limit
% 37.10/5.88 % (2051618)Termination phase: Saturation
% 37.10/5.88 % (2051618)Time elapsed: 0.058 s
% 37.10/5.88 % (2051618)Peak memory usage: 91 MB
% 37.10/5.88 % (2051618)Instructions burned: 194 (million)
% 37.10/5.88 % (2051620)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=87333809:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2973 on theBenchmark for (2973ds/4850Mi)
% 37.10/5.88 % (2051620)Refutation not found, incomplete strategy
% 37.10/5.88 % (2051620)------------------------------
% 37.10/5.88 % (2051620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051620)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051620)Termination reason: Refutation not found, incomplete strategy
% 37.10/5.88 % (2051620)Time elapsed: 0.010 s
% 37.10/5.88 % (2051620)Peak memory usage: 89 MB
% 37.10/5.88 % (2051620)Instructions burned: 33 (million)
% 37.10/5.88 % (2051620)------------------------------
% 37.10/5.88 % (2051620)------------------------------
% 37.10/5.88 % (2051622)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2685320047:i=12111:sd=1:ss=included_2971 on theBenchmark for (2971ds/12111Mi)
% 37.10/5.88 % (2051608)Instruction limit reached!
% 37.10/5.88 % (2051608)------------------------------
% 37.10/5.88 % (2051608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051608)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051608)Termination reason: Instruction limit
% 37.10/5.88 % (2051608)Termination phase: Saturation
% 37.10/5.88 % (2051608)Time elapsed: 1.684 s
% 37.10/5.88 % (2051608)Peak memory usage: 142 MB
% 37.10/5.88 % (2051608)Instructions burned: 6061 (million)
% 37.10/5.88 % (2051624)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1027968311:i=319:kws=precedence:fsr=off_2967 on theBenchmark for (2967ds/319Mi)
% 37.10/5.88 % (2051624)Instruction limit reached!
% 37.10/5.88 % (2051624)------------------------------
% 37.10/5.88 % (2051624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051624)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051624)Termination reason: Instruction limit
% 37.10/5.88 % (2051624)Termination phase: Saturation
% 37.10/5.88 % (2051624)Time elapsed: 0.089 s
% 37.10/5.88 % (2051624)Peak memory usage: 94 MB
% 37.10/5.88 % (2051624)Instructions burned: 321 (million)
% 37.10/5.88 % (2051626)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2169512505:i=2064:ep=RST_2965 on theBenchmark for (2965ds/2064Mi)
% 37.10/5.88 % (2051626)Instruction limit reached!
% 37.10/5.88 % (2051626)------------------------------
% 37.10/5.88 % (2051626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051626)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051626)Termination reason: Instruction limit
% 37.10/5.88 % (2051626)Termination phase: Saturation
% 37.10/5.88 % (2051626)Time elapsed: 0.549 s
% 37.10/5.88 % (2051626)Peak memory usage: 106 MB
% 37.10/5.88 % (2051626)Instructions burned: 2065 (million)
% 37.10/5.88 % (2051628)dis-1011_128_sil=32000:random_seed=46235139:i=3706:ep=RST:av=off_2958 on theBenchmark for (2958ds/3706Mi)
% 37.10/5.88 % (2051628)Instruction limit reached!
% 37.10/5.88 % (2051628)------------------------------
% 37.10/5.88 % (2051628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051628)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051628)Termination reason: Instruction limit
% 37.10/5.88 % (2051628)Termination phase: Saturation
% 37.10/5.88 % (2051628)Time elapsed: 0.668 s
% 37.10/5.88 % (2051628)Peak memory usage: 89 MB
% 37.10/5.88 % (2051628)Instructions burned: 3710 (million)
% 37.10/5.88 % (2051630)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3754270314:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2951 on theBenchmark for (2951ds/757Mi)
% 37.10/5.88 % (2051597)Instruction limit reached!
% 37.10/5.88 % (2051597)------------------------------
% 37.10/5.88 % (2051597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051597)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051597)Termination reason: Instruction limit
% 37.10/5.88 % (2051597)Termination phase: Saturation
% 37.10/5.88 % (2051597)Time elapsed: 4.135 s
% 37.10/5.88 % (2051597)Peak memory usage: 179 MB
% 37.10/5.88 % (2051597)Instructions burned: 13195 (million)
% 37.10/5.88 % (2051612)First to succeed.
% 37.10/5.88 % (2051612)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2051551"
% 37.10/5.88 % (2051632)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2734983539:i=13913:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/13913Mi)
% 37.10/5.88 % (2051630)Instruction limit reached!
% 37.10/5.88 % (2051630)------------------------------
% 37.10/5.88 % (2051630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.10/5.88 % (2051630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.10/5.88 % (2051630)CaDiCaL version: 2.1.3
% 37.10/5.88 % (2051630)Termination reason: Instruction limit
% 37.10/5.88 % (2051630)Termination phase: Saturation
% 37.10/5.88 % (2051630)Time elapsed: 0.293 s
% 37.10/5.88 % (2051630)Peak memory usage: 95 MB
% 37.10/5.88 % (2051630)Instructions burned: 758 (million)
% 37.10/5.88 % (2051612)Refutation found. Thanks to Tanya!
% 37.10/5.88 % SZS status Theorem for theBenchmark
% 37.10/5.88 % SZS output start Proof for theBenchmark
% See solution above
% 37.86/5.98 % (2051612)------------------------------
% 37.86/5.98 % (2051612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.86/5.98 % (2051612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.86/5.98 % (2051612)CaDiCaL version: 2.1.3
% 37.86/5.98 % (2051612)Termination reason: Refutation
% 37.86/5.98 % (2051612)Time elapsed: 3.383 s
% 37.86/5.98 % (2051612)Peak memory usage: 157 MB
% 37.86/5.98 % (2051612)Instructions burned: 11854 (million)
% 37.86/5.98 % (2051612)------------------------------
% 37.86/5.98 % (2051612)------------------------------
% 37.86/5.98 % (2051551)Success in time 5.358 s
% 37.86/5.98 % Vampire exiting
%------------------------------------------------------------------------------