%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO315+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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:25 AM UTC 2026
% Result : Theorem 40.65s 6.64s
% Output : Refutation 41.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 97
% Syntax : Number of formulae : 876 ( 152 unt; 53 def)
% Number of atoms : 4567 (1026 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 6648 (2957 ~;3442 |; 178 &)
% ( 57 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 52 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 1172 ( 0 sgn1121 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1288,vd1289,vd1299) = vangle(vd1289,vd1288,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(362), 1325, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1288,vd1289,vd1299) != vangle(vd1289,vd1288,vd1306),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1299,vd1288,vd1289) = vangle(vd1306,vd1289,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(362), 1324, 0)') ).
fof(f4,axiom,
vf(vd1288,vd1299) = vf(vd1289,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(361, 1323, 0)') ).
fof(f5,axiom,
vangle(vd1288,vd1299,vd1289) = vangle(vd1289,vd1306,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(360), 1322, 0)') ).
fof(f7,axiom,
vangle(vd1287,vd1288,vd1306) = vangle(vd1287,vd1289,vd1299),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(359)), 1320, 0)') ).
fof(f8,axiom,
vf(vd1299,vd1289) = vf(vd1306,vd1288),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(359), 1318, 0)') ).
fof(f9,axiom,
rpoint(vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(352, 0)') ).
fof(f10,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(f11,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(f13,axiom,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(358, 1317, 0)') ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f18,axiom,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(357, 1316, 0)') ).
fof(f20,axiom,
rR(vd1306,vd1287,vd1302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(352), 1307, 0)') ).
fof(f21,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(356)))') ).
fof(f23,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f24,axiom,
~ rR(vd1287,vd1288,vd1299),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(356))') ).
fof(f26,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(f29,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f32,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( rR(X2,X1,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f37,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(f38,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(f41,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(355)), 1313, 0)') ).
fof(f42,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(355), 1312, 0)') ).
fof(f43,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f44,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f46,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(354))), 0)') ).
fof(f47,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(354)), 0)') ).
fof(f48,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(354), 0)') ).
fof(f49,axiom,
vd1299 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(353))), 1311, 0)') ).
fof(f51,axiom,
vd1306 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(353)), 1309, 0)') ).
fof(f52,axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(353), 0)') ).
fof(f53,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f54,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f62,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f65,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(f67,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(f73,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& rline(X4)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 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,
! [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(f79,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f82,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f110,axiom,
! [X0,X1,X2,X3] :
( ( rR(X1,X0,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ~ rR(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f111,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(f157,plain,
vangle(vd1288,vd1289,vd1299) != vangle(vd1289,vd1288,vd1306),
inference(flattening,[],[f2]) ).
fof(f162,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f163,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f162]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f171,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,[],[f170]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f178]) ).
fof(f180,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,[],[f37]) ).
fof(f181,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,[],[f180]) ).
fof(f182,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,[],[f38]) ).
fof(f183,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,[],[f182]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f199,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,[],[f198]) ).
fof(f204,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,[],[f65]) ).
fof(f205,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,[],[f204]) ).
fof(f206,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f207,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f206]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f218]) ).
fof(f220,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(f221,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,[],[f220]) ).
fof(f222,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,[],[f75]) ).
fof(f223,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,[],[f222]) ).
fof(f232,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f233,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f232]) ).
fof(f287,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f110]) ).
fof(f288,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f287]) ).
fof(f289,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,[],[f111]) ).
fof(f290,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,[],[f289]) ).
fof(f374,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)],[f10]) ).
fof(f383,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,[],[f199]) ).
fof(f384,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,[],[f383]) ).
fof(f387,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,[],[f207]) ).
fof(f391,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& ron(X0,X2)
& rline(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f233]) ).
fof(f392,plain,
! [X0,X1] :
( ( ron(X1,sK9(X0,X1))
& ron(X0,sK9(X0,X1))
& rline(sK9(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f391]) ).
fof(f450,plain,
vangle(vd1288,vd1289,vd1299) != vangle(vd1289,vd1288,vd1306),
inference(cnf_transformation,[],[f157]) ).
fof(f451,plain,
vangle(vd1299,vd1288,vd1289) = vangle(vd1306,vd1289,vd1288),
inference(cnf_transformation,[],[f3]) ).
fof(f452,plain,
vf(vd1288,vd1299) = vf(vd1289,vd1306),
inference(cnf_transformation,[],[f4]) ).
fof(f453,plain,
vangle(vd1288,vd1299,vd1289) = vangle(vd1289,vd1306,vd1288),
inference(cnf_transformation,[],[f5]) ).
fof(f455,plain,
vangle(vd1287,vd1288,vd1306) = vangle(vd1287,vd1289,vd1299),
inference(cnf_transformation,[],[f7]) ).
fof(f456,plain,
vf(vd1299,vd1289) = vf(vd1306,vd1288),
inference(cnf_transformation,[],[f8]) ).
fof(f457,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f9]) ).
fof(f458,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f374]) ).
fof(f459,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f374]) ).
fof(f460,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f374]) ).
fof(f461,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f374]) ).
fof(f462,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f374]) ).
fof(f463,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f374]) ).
fof(f466,plain,
vd1288 != vd1289,
inference(cnf_transformation,[],[f374]) ).
fof(f468,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f470,plain,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
inference(cnf_transformation,[],[f13]) ).
fof(f483,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,[],[f171]) ).
fof(f484,plain,
vangle(vd1288,vd1287,vd1289) = vangle(vd1288,vd1287,vd1306),
inference(cnf_transformation,[],[f18]) ).
fof(f486,plain,
rR(vd1306,vd1287,vd1302),
inference(cnf_transformation,[],[f20]) ).
fof(f487,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[],[f21]) ).
fof(f489,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f23]) ).
fof(f490,plain,
~ rR(vd1287,vd1288,vd1299),
inference(cnf_transformation,[],[f24]) ).
fof(f492,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f26]) ).
fof(f493,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f26]) ).
fof(f494,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f26]) ).
fof(f495,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f26]) ).
fof(f498,plain,
rline(vd1297),
inference(cnf_transformation,[],[f29]) ).
fof(f501,plain,
rline(vd1295),
inference(cnf_transformation,[],[f32]) ).
fof(f505,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f179]) ).
fof(f506,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,[],[f181]) ).
fof(f507,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,[],[f183]) ).
fof(f508,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,[],[f183]) ).
fof(f509,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,[],[f183]) ).
fof(f510,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,[],[f183]) ).
fof(f513,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f41]) ).
fof(f514,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f42]) ).
fof(f515,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f43]) ).
fof(f516,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f44]) ).
fof(f518,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f46]) ).
fof(f519,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f47]) ).
fof(f520,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f48]) ).
fof(f521,plain,
vd1299 != vd1287,
inference(cnf_transformation,[],[f49]) ).
fof(f523,plain,
vd1306 != vd1287,
inference(cnf_transformation,[],[f51]) ).
fof(f524,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f52]) ).
fof(f525,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f53]) ).
fof(f526,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f54]) ).
fof(f537,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,[],[f384]) ).
fof(f538,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,[],[f384]) ).
fof(f539,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,[],[f384]) ).
fof(f544,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,[],[f205]) ).
fof(f545,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f387]) ).
fof(f546,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f387]) ).
fof(f553,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f219]) ).
fof(f554,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,[],[f221]) ).
fof(f555,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,[],[f223]) ).
fof(f559,plain,
v0 = vd684,
inference(cnf_transformation,[],[f79]) ).
fof(f565,plain,
! [X3,X0,X1,X4] :
( rline(sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f392]) ).
fof(f566,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f392]) ).
fof(f567,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f392]) ).
fof(f626,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f288]) ).
fof(f627,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,[],[f290]) ).
fof(f749,plain,
vangle(sK2,sK1,vd1300) != vangle(sK1,sK2,vd1306),
inference(definition_unfolding,[],[f450,f461,f463,f525,f463,f461]) ).
fof(f750,plain,
vangle(vd1300,sK2,sK1) = vangle(vd1306,sK1,sK2),
inference(definition_unfolding,[],[f451,f525,f461,f463,f463,f461]) ).
fof(f751,plain,
vf(sK2,vd1300) = vf(sK1,vd1306),
inference(definition_unfolding,[],[f452,f461,f525,f463]) ).
fof(f752,plain,
vangle(sK2,vd1300,sK1) = vangle(sK1,vd1306,sK2),
inference(definition_unfolding,[],[f453,f461,f525,f463,f463,f461]) ).
fof(f754,plain,
vangle(sK3,sK2,vd1306) = vangle(sK3,sK1,vd1300),
inference(definition_unfolding,[],[f455,f459,f461,f459,f463,f525]) ).
fof(f755,plain,
vf(vd1300,sK1) = vf(vd1306,sK2),
inference(definition_unfolding,[],[f456,f525,f463,f461]) ).
fof(f757,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f466,f461,f463]) ).
fof(f761,plain,
vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,sK1),
inference(definition_unfolding,[],[f470,f461,f459,f463,f525,f459,f463]) ).
fof(f762,plain,
vangle(sK2,sK3,sK1) = vangle(sK2,sK3,vd1306),
inference(definition_unfolding,[],[f484,f461,f459,f463,f461,f459]) ).
fof(f764,plain,
rR(vd1306,sK3,vd1303),
inference(definition_unfolding,[],[f486,f459,f495]) ).
fof(f765,plain,
~ rR(sK3,sK1,vd1306),
inference(definition_unfolding,[],[f487,f459,f463]) ).
fof(f767,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f489,f495]) ).
fof(f768,plain,
~ rR(sK3,sK2,vd1300),
inference(definition_unfolding,[],[f490,f459,f461,f525]) ).
fof(f770,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f494,f463,f459,f495]) ).
fof(f771,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f492,f461,f459,f525]) ).
fof(f778,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f513,f463,f459]) ).
fof(f779,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f514,f461,f459]) ).
fof(f780,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f515,f463]) ).
fof(f781,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f516,f461]) ).
fof(f782,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f518,f459]) ).
fof(f783,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f519,f525]) ).
fof(f784,plain,
ron(sK3,vd1295),
inference(definition_unfolding,[],[f520,f459]) ).
fof(f785,plain,
vd1300 != sK3,
inference(definition_unfolding,[],[f521,f525,f459]) ).
fof(f787,plain,
vd1306 != sK3,
inference(definition_unfolding,[],[f523,f459]) ).
fof(f788,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,[],[f539,f559]) ).
fof(f789,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,[],[f538,f559]) ).
fof(f790,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,[],[f537,f559]) ).
fof(f791,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f546,f559]) ).
fof(f792,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f545,f559]) ).
fof(f797,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f468]) ).
fof(f798,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f797]) ).
fof(f871,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,[],[f483]) ).
fof(f872,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,[],[f871]) ).
fof(f873,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,[],[f872]) ).
fof(f874,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,[],[f873]) ).
fof(f875,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,[],[f874]) ).
fof(f876,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,[],[f875]) ).
fof(f877,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,[],[f876]) ).
fof(f890,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X2,X1,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f505]) ).
fof(f891,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X5,X1,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f890]) ).
fof(f892,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f891]) ).
fof(f893,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X5,X6,X4)
| rR(X6,X7,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f892]) ).
fof(f894,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f506]) ).
fof(f895,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f894]) ).
fof(f896,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f895]) ).
fof(f897,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ron(X5,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f896]) ).
fof(f898,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,[],[f510]) ).
fof(f899,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f898]) ).
fof(f900,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f899]) ).
fof(f901,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,[],[f509]) ).
fof(f902,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f901]) ).
fof(f903,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f902]) ).
fof(f904,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f903]) ).
fof(f905,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,[],[f508]) ).
fof(f906,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f905]) ).
fof(f907,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f906]) ).
fof(f908,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f907]) ).
fof(f909,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,[],[f507]) ).
fof(f910,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f909]) ).
fof(f911,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f910]) ).
fof(f952,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,[],[f788]) ).
fof(f953,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,[],[f952]) ).
fof(f954,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,[],[f953]) ).
fof(f955,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,[],[f954]) ).
fof(f956,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,[],[f789]) ).
fof(f957,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,[],[f956]) ).
fof(f958,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,[],[f957]) ).
fof(f959,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,[],[f958]) ).
fof(f960,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,[],[f790]) ).
fof(f961,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,[],[f960]) ).
fof(f962,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,[],[f961]) ).
fof(f963,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,[],[f962]) ).
fof(f972,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,[],[f544]) ).
fof(f973,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,[],[f972]) ).
fof(f974,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,[],[f973]) ).
fof(f975,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f791]) ).
fof(f976,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f975]) ).
fof(f977,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f976]) ).
fof(f978,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f792]) ).
fof(f979,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f978]) ).
fof(f993,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X2)
| rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f553]) ).
fof(f994,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X5)
| rR(X0,X1,X5)
| rR(X5,X0,X1)
| ~ ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X1 = X5
| X0 = X5
| X0 = X1
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f993]) ).
fof(f995,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X5)
| rR(X0,X6,X5)
| rR(X5,X0,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rline(X4)
| X5 = X6
| X0 = X5
| X0 = X6
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f994]) ).
fof(f996,plain,
! [X6,X7,X4,X5] :
( rR(X7,X6,X5)
| rR(X6,X7,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rline(X4)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f995]) ).
fof(f997,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,[],[f554]) ).
fof(f998,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,[],[f997]) ).
fof(f999,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,[],[f998]) ).
fof(f1000,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,[],[f999]) ).
fof(f1001,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,[],[f555]) ).
fof(f1002,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,[],[f1001]) ).
fof(f1003,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,[],[f1002]) ).
fof(f1004,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,[],[f1003]) ).
fof(f1027,plain,
! [X3,X0,X4] :
( ron(X3,sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f567]) ).
fof(f1028,plain,
! [X3,X4] :
( ron(X3,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1027]) ).
fof(f1029,plain,
! [X3,X0,X4] :
( ron(X0,sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f566]) ).
fof(f1030,plain,
! [X3,X4] :
( ron(X4,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1029]) ).
fof(f1031,plain,
! [X3,X0,X4] :
( rline(sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f565]) ).
fof(f1032,plain,
! [X3,X4] :
( rline(sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1031]) ).
fof(f1215,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f626]) ).
fof(f1216,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X5,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1215]) ).
fof(f1217,plain,
! [X0,X6,X7,X4,X5] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X0,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1216]) ).
fof(f1218,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X5,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1217]) ).
fof(f1219,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,[],[f627]) ).
fof(f1220,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,[],[f1219]) ).
fof(f1221,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,[],[f1220]) ).
fof(f1222,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,[],[f1221]) ).
fof(f1567,definition,
sF52 = vangle(sK2,sK1,vd1300),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1568,plain,
vangle(sK2,sK1,vd1300) = sF52,
inference(reorient_equations,[],[f1567]) ).
fof(f1569,definition,
sF53 = vangle(sK1,sK2,vd1306),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1570,plain,
vangle(sK1,sK2,vd1306) = sF53,
inference(reorient_equations,[],[f1569]) ).
fof(f1571,plain,
sF52 != sF53,
inference(definition_folding,[],[f749,f1570,f1568]) ).
fof(f1572,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f977]) ).
fof(f1573,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f908]) ).
fof(f1574,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f904]) ).
fof(f1623,plain,
vangle(vd1300,sK3,sK1) = vangle(sK2,sK3,vd1306),
inference(backward_demodulation,[],[f762,f761]) ).
fof(f1627,plain,
rR(sK2,vd1300,sK3),
inference(unit_resulting_resolution,[],[f911,f458,f460,f526,f771]) ).
fof(f1682,plain,
vangle(vd1306,sK3,vd1306) = vangle(sK1,sK3,sK1),
inference(unit_resulting_resolution,[],[f877,f458,f462,f462,f457,f457,f498,f498,f782,f780,f524,f787,f765,f778,f780,f778,f765,f787,f524]) ).
fof(f1683,plain,
vangle(sK2,sK3,sK1) = vangle(vd1300,sK3,vd1306),
inference(unit_resulting_resolution,[],[f877,f458,f460,f462,f526,f457,f501,f498,f784,f781,f783,f785,f768,f779,f780,f778,f765,f787,f524]) ).
fof(f1684,plain,
vangle(vd1306,sK3,vd1300) = vangle(sK1,sK3,sK2),
inference(unit_resulting_resolution,[],[f877,f458,f462,f460,f457,f526,f498,f501,f783,f781,f785,f779,f768,f782,f780,f778,f787,f765,f524]) ).
fof(f1687,plain,
vangle(vd1300,sK3,sK1) = vangle(vd1300,sK3,vd1306),
inference(backward_demodulation,[],[f761,f1683]) ).
fof(f1688,plain,
vangle(sK2,sK3,vd1306) = vangle(vd1300,sK3,vd1306),
inference(backward_demodulation,[],[f1623,f1687]) ).
fof(f1721,plain,
~ rR(vd1300,vd1300,sK3),
inference(unit_resulting_resolution,[],[f1573,f526,f458]) ).
fof(f1731,plain,
~ rR(vd1306,vd1303,vd1303),
inference(unit_resulting_resolution,[],[f1574,f457,f493]) ).
fof(f1747,plain,
~ rR(sK2,sK1,sK1),
inference(unit_resulting_resolution,[],[f1574,f460,f462]) ).
fof(f1754,plain,
~ rR(sK3,sK2,sK2),
inference(unit_resulting_resolution,[],[f1574,f458,f460]) ).
fof(f1761,plain,
vd684 = vf(vd1306,vd1306),
inference(unit_resulting_resolution,[],[f1572,f457]) ).
fof(f1763,plain,
vd684 = vf(vd1300,vd1300),
inference(unit_resulting_resolution,[],[f1572,f526]) ).
fof(f1767,plain,
vd684 = vangle(sK2,sK3,vd1300),
inference(unit_resulting_resolution,[],[f963,f458,f460,f526,f501,f781,f783,f784,f779,f785,f768]) ).
fof(f1786,plain,
vf(sK1,vd1306) = vf(vd1306,sK1),
inference(unit_resulting_resolution,[],[f798,f462,f457]) ).
fof(f1798,plain,
vf(vd1300,sK1) = vf(sK1,vd1300),
inference(unit_resulting_resolution,[],[f798,f462,f526]) ).
fof(f1799,plain,
vf(sK2,vd1300) = vf(vd1300,sK2),
inference(unit_resulting_resolution,[],[f798,f460,f526]) ).
fof(f1824,plain,
vf(sK2,vd1300) = vf(vd1306,sK1),
inference(backward_demodulation,[],[f751,f1786]) ).
fof(f1828,plain,
vf(vd1306,sK2) = vf(sK1,vd1300),
inference(forward_demodulation,[],[f1798,f755]) ).
fof(f1833,plain,
vf(vd1306,sK1) = vf(vd1300,sK2),
inference(backward_demodulation,[],[f1799,f1824]) ).
fof(f1840,plain,
~ rR(sK3,sK1,vd1303),
inference(unit_resulting_resolution,[],[f900,f458,f462,f493,f770]) ).
fof(f1841,plain,
~ rR(sK3,vd1306,vd1303),
inference(unit_resulting_resolution,[],[f900,f458,f457,f493,f764]) ).
fof(f1858,plain,
( vd684 != vf(vd1306,sK2)
| vd1300 = sK1
| ~ rpoint(sK1)
| ~ rpoint(vd1300) ),
inference(superposition,[],[f979,f755]) ).
fof(f1859,plain,
( vd684 != vf(vd1306,sK2)
| vd1300 = sK1
| ~ rpoint(vd1300) ),
inference(forward_subsumption_resolution,[],[f1858,f462]) ).
fof(f1860,plain,
( vd684 != vf(vd1306,sK2)
| vd1300 = sK1 ),
inference(forward_subsumption_resolution,[],[f1859,f526]) ).
fof(f1862,definition,
( spl54_13
<=> vd1300 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f1863,plain,
( vd1300 != sK1
| spl54_13 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1864,plain,
( vd1300 = sK1
| ~ spl54_13 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1866,definition,
( spl54_14
<=> vd684 = vf(vd1306,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f1867,plain,
( vd684 = vf(vd1306,sK2)
| ~ spl54_14 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1868,plain,
( vd684 != vf(vd1306,sK2)
| spl54_14 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1869,plain,
( spl54_13
| ~ spl54_14 ),
inference(avatar_split_clause,[],[f1860,f1866,f1862]) ).
fof(f1882,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,[],[f1004,f784]) ).
fof(f1883,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vd1297)
| ~ ron(sK3,X1)
| vd1297 = X1
| ~ rline(X1)
| ~ rline(vd1297)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1004,f782]) ).
fof(f1894,plain,
vangle(sK3,sK2,vd1306) = vangle(vd1306,sK2,sK3),
inference(unit_resulting_resolution,[],[f974,f458,f460,f457,f779,f787]) ).
fof(f1900,plain,
vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2),
inference(unit_resulting_resolution,[],[f974,f460,f458,f462,f779,f757]) ).
fof(f1927,plain,
( sF52 = vangle(vd1300,sK1,sK2)
| vd1300 = sK2
| sK1 = sK2
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK2) ),
inference(superposition,[],[f974,f1568]) ).
fof(f1929,plain,
( sF53 = vangle(vd1306,sK2,sK1)
| vd1306 = sK1
| sK1 = sK2
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(superposition,[],[f974,f1570]) ).
fof(f1967,plain,
( sF53 = vangle(vd1306,sK2,sK1)
| vd1306 = sK1
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1929,f757]) ).
fof(f1969,plain,
( sF52 = vangle(vd1300,sK1,sK2)
| vd1300 = sK2
| ~ rpoint(vd1300)
| ~ rpoint(sK1)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1927,f757]) ).
fof(f1973,plain,
vangle(sK3,sK1,vd1300) = vangle(vd1306,sK2,sK3),
inference(backward_demodulation,[],[f754,f1894]) ).
fof(f1974,plain,
vangle(sK2,sK3,sK1) = vangle(vd1306,sK3,vd1300),
inference(forward_demodulation,[],[f1900,f1684]) ).
fof(f1983,plain,
( sF53 = vangle(vd1306,sK2,sK1)
| vd1306 = sK1
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1967,f457]) ).
fof(f1985,plain,
( sF52 = vangle(vd1300,sK1,sK2)
| vd1300 = sK2
| ~ rpoint(sK1)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1969,f526]) ).
fof(f1990,plain,
vangle(vd1306,sK3,vd1300) = vangle(vd1300,sK3,vd1306),
inference(backward_demodulation,[],[f1683,f1974]) ).
fof(f1998,plain,
( sF53 = vangle(vd1306,sK2,sK1)
| vd1306 = sK1
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f1983,f460]) ).
fof(f2000,plain,
( sF52 = vangle(vd1300,sK1,sK2)
| vd1300 = sK2
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1985,f462]) ).
fof(f2004,plain,
vangle(sK2,sK3,vd1306) = vangle(vd1306,sK3,vd1300),
inference(backward_demodulation,[],[f1688,f1990]) ).
fof(f2005,plain,
vangle(vd1300,sK3,sK1) = vangle(vd1306,sK3,vd1300),
inference(backward_demodulation,[],[f1687,f1990]) ).
fof(f2010,definition,
( spl54_15
<=> vd1306 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).
fof(f2011,plain,
( vd1306 != sK2
| spl54_15 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2012,plain,
( vd1306 = sK2
| ~ spl54_15 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2014,definition,
( spl54_16
<=> vd1306 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_16])],[avatar_definition]) ).
fof(f2015,plain,
( vd1306 != sK1
| spl54_16 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2016,plain,
( vd1306 = sK1
| ~ spl54_16 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2018,definition,
( spl54_17
<=> sF53 = vangle(vd1306,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_17])],[avatar_definition]) ).
fof(f2020,plain,
( sF53 = vangle(vd1306,sK2,sK1)
| ~ spl54_17 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2024,definition,
( spl54_18
<=> vd1300 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_18])],[avatar_definition]) ).
fof(f2025,plain,
( vd1300 != sK2
| spl54_18 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2026,plain,
( vd1300 = sK2
| ~ spl54_18 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2028,definition,
( spl54_19
<=> sF52 = vangle(vd1300,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_19])],[avatar_definition]) ).
fof(f2030,plain,
( sF52 = vangle(vd1300,sK1,sK2)
| ~ spl54_19 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2032,plain,
( sF53 = vangle(vd1306,sK2,sK1)
| vd1306 = sK1 ),
inference(forward_subsumption_resolution,[],[f1998,f462]) ).
fof(f2034,plain,
( sF52 = vangle(vd1300,sK1,sK2)
| vd1300 = sK2 ),
inference(forward_subsumption_resolution,[],[f2000,f460]) ).
fof(f2046,plain,
( spl54_16
| spl54_17 ),
inference(avatar_split_clause,[],[f2032,f2018,f2014]) ).
fof(f2048,plain,
( spl54_18
| spl54_19 ),
inference(avatar_split_clause,[],[f2034,f2028,f2024]) ).
fof(f2095,plain,
( vf(vd1306,sK2) = vf(vd1300,vd1300)
| ~ spl54_13 ),
inference(backward_demodulation,[],[f1828,f1864]) ).
fof(f2124,plain,
( rR(vd1300,vd1300,sK3)
| ~ spl54_18 ),
inference(backward_demodulation,[],[f1627,f2026]) ).
fof(f2161,plain,
( vd684 = vf(vd1306,sK2)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f2095,f1763]) ).
fof(f2249,plain,
( spl54_14
| ~ spl54_13 ),
inference(avatar_split_clause,[],[f2161,f1862,f1866]) ).
fof(f2316,plain,
( vf(vd1306,vd1306) = vf(vd1300,sK2)
| ~ spl54_16 ),
inference(forward_demodulation,[],[f1833,f2016]) ).
fof(f2335,plain,
( $false
| ~ spl54_18 ),
inference(forward_subsumption_resolution,[],[f2124,f1721]) ).
fof(f2336,plain,
~ spl54_18,
inference(avatar_contradiction_clause,[],[f2335]) ).
fof(f2371,plain,
( vd684 = vf(vd1300,sK2)
| ~ spl54_16 ),
inference(forward_demodulation,[],[f2316,f1761]) ).
fof(f2562,plain,
( vd684 != vf(vd1300,sK2)
| spl54_18 ),
inference(unit_resulting_resolution,[],[f979,f526,f460,f2025]) ).
fof(f2569,plain,
( $false
| ~ spl54_16
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f2562,f2371]) ).
fof(f2570,plain,
( ~ spl54_16
| spl54_18 ),
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2582,plain,
! [X0] :
( vd684 = sF52
| rR(sK1,sK2,vd1300)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| vd1300 = sK1
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(superposition,[],[f1568,f963]) ).
fof(f2594,plain,
! [X0] :
( vd684 = sF53
| rR(sK2,sK1,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| vd1306 = sK2
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1570,f963]) ).
fof(f2599,plain,
! [X0] :
( vd684 != sF53
| ~ rR(sK2,sK1,vd1306)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| vd1306 = sK2
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK2) ),
inference(superposition,[],[f955,f1570]) ).
fof(f2743,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,vd1300,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| vd1300 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK1) )
| ~ spl54_19 ),
inference(superposition,[],[f2030,f963]) ).
fof(f2754,plain,
! [X0] :
( vd684 = vangle(sK1,vd1306,sK2)
| rR(vd1300,sK2,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| vd1300 = sK1
| vd1300 = sK2
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(superposition,[],[f752,f963]) ).
fof(f2759,plain,
! [X0] :
( vd684 != vangle(sK1,vd1306,sK2)
| ~ rR(vd1300,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| vd1300 = sK1
| vd1300 = sK2
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) ),
inference(superposition,[],[f955,f752]) ).
fof(f2764,plain,
! [X0] :
( vd684 = vangle(vd1306,sK1,sK2)
| rR(sK2,vd1300,sK1)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| vd1300 = sK2
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) ),
inference(superposition,[],[f750,f963]) ).
fof(f2767,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK1,sK2) = vangle(X0,sK2,X1)
| rR(sK2,X1,sK1)
| rR(sK2,X0,vd1300)
| sK1 = sK2
| vd1300 = sK2
| sK2 = X1
| sK2 = X0
| ~ ron(sK1,X2)
| ~ ron(X1,X2)
| ~ ron(vd1300,X3)
| ~ ron(X0,X3)
| ~ ron(sK2,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(superposition,[],[f877,f750]) ).
fof(f2774,plain,
( vangle(sK1,vd1306,vd1306) = vangle(vd1306,vd1306,sK1)
| spl54_16 ),
inference(unit_resulting_resolution,[],[f974,f462,f457,f457,f2015,f2015]) ).
fof(f2891,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vd1297)
| ~ ron(sK3,X1)
| vd1297 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1883,f498]) ).
fof(f2892,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,[],[f1882,f501]) ).
fof(f2915,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,sK2,vd1300)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f2582,f1863]) ).
fof(f2918,plain,
( ! [X0] :
( vd684 != sF53
| ~ rR(sK2,sK1,vd1306)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f2599,f2011]) ).
fof(f2923,plain,
( ! [X0] :
( vd684 = sF53
| rR(sK2,sK1,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f2594,f2011]) ).
fof(f2940,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,vd1300,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK1,X0)
| vd1300 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK1) )
| ~ spl54_19 ),
inference(forward_subsumption_resolution,[],[f2743,f757]) ).
fof(f2943,plain,
( ! [X0] :
( vd684 != vangle(sK1,vd1306,sK2)
| ~ rR(vd1300,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| vd1300 = sK2
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f2759,f1863]) ).
fof(f2948,plain,
( ! [X0] :
( vd684 = vangle(sK1,vd1306,sK2)
| rR(vd1300,sK2,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| vd1300 = sK2
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f2754,f1863]) ).
fof(f2953,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK1,sK2) = vangle(X0,sK2,X1)
| rR(sK2,X1,sK1)
| rR(sK2,X0,vd1300)
| vd1300 = sK2
| sK2 = X1
| sK2 = X0
| ~ ron(sK1,X2)
| ~ ron(X1,X2)
| ~ ron(vd1300,X3)
| ~ ron(X0,X3)
| ~ ron(sK2,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2767,f757]) ).
fof(f2956,plain,
! [X0] :
( vd684 = vangle(vd1306,sK1,sK2)
| rR(sK2,vd1300,sK1)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| vd1300 = sK2
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2764,f757]) ).
fof(f2971,plain,
! [X0,X1] :
( ~ ron(sK3,X1)
| ~ ron(X0,vd1297)
| ~ ron(X0,X1)
| vd1297 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2891,f458]) ).
fof(f2972,plain,
! [X0,X1] :
( ~ ron(sK3,X1)
| ~ ron(X0,vd1295)
| ~ ron(X0,X1)
| vd1295 = X1
| ~ rline(X1)
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2892,f458]) ).
fof(f2994,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,sK2,vd1300)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f2915,f757]) ).
fof(f2997,plain,
( ! [X0] :
( vd684 != sF53
| ~ rR(sK2,sK1,vd1306)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f2918,f757]) ).
fof(f3002,plain,
( ! [X0] :
( vd684 = sF53
| rR(sK2,sK1,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f2923,f757]) ).
fof(f3019,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,vd1300,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_19 ),
inference(forward_subsumption_resolution,[],[f2940,f1863]) ).
fof(f3022,plain,
( ! [X0] :
( vd684 != vangle(sK1,vd1306,sK2)
| ~ rR(vd1300,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f2943,f2025]) ).
fof(f3027,plain,
( ! [X0] :
( vd684 = vangle(sK1,vd1306,sK2)
| rR(vd1300,sK2,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f2948,f2025]) ).
fof(f3032,plain,
( ! [X2,X3,X0,X1] :
( vangle(vd1306,sK1,sK2) = vangle(X0,sK2,X1)
| rR(sK2,X1,sK1)
| rR(sK2,X0,vd1300)
| sK2 = X1
| sK2 = X0
| ~ ron(sK1,X2)
| ~ ron(X1,X2)
| ~ ron(vd1300,X3)
| ~ ron(X0,X3)
| ~ ron(sK2,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f2953,f2025]) ).
fof(f3035,plain,
( ! [X0] :
( vd684 = vangle(vd1306,sK1,sK2)
| rR(sK2,vd1300,sK1)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f2956,f2025]) ).
fof(f3064,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,sK2,vd1300)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f2994,f526]) ).
fof(f3067,plain,
( ! [X0] :
( vd684 != sF53
| ~ rR(sK2,sK1,vd1306)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f2997,f457]) ).
fof(f3072,plain,
( ! [X0] :
( vd684 = sF53
| rR(sK2,sK1,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3002,f457]) ).
fof(f3088,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,vd1300,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_19 ),
inference(forward_subsumption_resolution,[],[f3019,f460]) ).
fof(f3091,plain,
( ! [X0] :
( vd684 != vangle(sK1,vd1306,sK2)
| ~ rR(vd1300,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3022,f462]) ).
fof(f3096,plain,
( ! [X0] :
( vd684 = vangle(sK1,vd1306,sK2)
| rR(vd1300,sK2,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1300) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3027,f462]) ).
fof(f3101,plain,
( ! [X2,X3,X0,X1] :
( vangle(vd1306,sK1,sK2) = vangle(X0,sK2,X1)
| rR(sK2,X1,sK1)
| rR(sK2,X0,vd1300)
| sK2 = X1
| sK2 = X0
| ~ ron(sK1,X2)
| ~ ron(X1,X2)
| ~ ron(vd1300,X3)
| ~ ron(X0,X3)
| ~ ron(sK2,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(vd1300)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3032,f462]) ).
fof(f3104,plain,
( ! [X0] :
( vd684 = vangle(vd1306,sK1,sK2)
| rR(sK2,vd1300,sK1)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3035,f462]) ).
fof(f3133,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,sK2,vd1300)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f3064,f460]) ).
fof(f3136,plain,
( ! [X0] :
( vd684 != sF53
| ~ rR(sK2,sK1,vd1306)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3067,f462]) ).
fof(f3141,plain,
( ! [X0] :
( vd684 = sF53
| rR(sK2,sK1,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3072,f462]) ).
fof(f3157,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,vd1300,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_19 ),
inference(forward_subsumption_resolution,[],[f3088,f526]) ).
fof(f3160,plain,
( ! [X0] :
( vd684 != vangle(sK1,vd1306,sK2)
| ~ rR(vd1300,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(vd1300) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3091,f460]) ).
fof(f3165,plain,
( ! [X0] :
( vd684 = vangle(sK1,vd1306,sK2)
| rR(vd1300,sK2,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(vd1300) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3096,f460]) ).
fof(f3170,plain,
( ! [X2,X3,X0,X1] :
( vangle(vd1306,sK1,sK2) = vangle(X0,sK2,X1)
| rR(sK2,X1,sK1)
| rR(sK2,X0,vd1300)
| sK2 = X1
| sK2 = X0
| ~ ron(sK1,X2)
| ~ ron(X1,X2)
| ~ ron(vd1300,X3)
| ~ ron(X0,X3)
| ~ ron(sK2,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3101,f526]) ).
fof(f3173,plain,
( ! [X0] :
( vd684 = vangle(vd1306,sK1,sK2)
| rR(sK2,vd1300,sK1)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3104,f526]) ).
fof(f3202,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,sK2,vd1300)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f3133,f462]) ).
fof(f3205,plain,
( ! [X0] :
( vd684 != sF53
| ~ rR(sK2,sK1,vd1306)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3136,f460]) ).
fof(f3210,plain,
( ! [X0] :
( vd684 = sF53
| rR(sK2,sK1,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3141,f460]) ).
fof(f3226,plain,
( ! [X0] :
( vd684 = sF52
| rR(sK1,vd1300,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13
| ~ spl54_19 ),
inference(forward_subsumption_resolution,[],[f3157,f462]) ).
fof(f3229,plain,
( ! [X0] :
( vd684 != vangle(sK1,vd1306,sK2)
| ~ rR(vd1300,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3160,f526]) ).
fof(f3234,plain,
( ! [X0] :
( vd684 = vangle(sK1,vd1306,sK2)
| rR(vd1300,sK2,sK1)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ ron(vd1300,X0)
| ~ rline(X0) )
| spl54_13
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3165,f526]) ).
fof(f3239,plain,
( ! [X2,X3,X0,X1] :
( vangle(vd1306,sK1,sK2) = vangle(X0,sK2,X1)
| rR(sK2,X1,sK1)
| rR(sK2,X0,vd1300)
| sK2 = X1
| sK2 = X0
| ~ ron(sK1,X2)
| ~ ron(X1,X2)
| ~ ron(vd1300,X3)
| ~ ron(X0,X3)
| ~ ron(sK2,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3170,f460]) ).
fof(f3242,plain,
( ! [X0] :
( vd684 = vangle(vd1306,sK1,sK2)
| rR(sK2,vd1300,sK1)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f3173,f460]) ).
fof(f3244,definition,
( spl54_21
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_21])],[avatar_definition]) ).
fof(f3245,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) )
| ~ spl54_21 ),
inference(avatar_component_clause,[],[f3244]) ).
fof(f3247,definition,
( spl54_22
<=> rR(sK2,sK1,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_22])],[avatar_definition]) ).
fof(f3248,plain,
( rR(sK2,sK1,vd1306)
| ~ spl54_22 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3249,plain,
( ~ rR(sK2,sK1,vd1306)
| spl54_22 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3251,definition,
( spl54_23
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_23])],[avatar_definition]) ).
fof(f3252,plain,
( vd684 = sF53
| ~ spl54_23 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f3253,plain,
( vd684 != sF53
| spl54_23 ),
inference(avatar_component_clause,[],[f3251]) ).
fof(f3256,definition,
( spl54_24
<=> rR(sK1,sK2,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_24])],[avatar_definition]) ).
fof(f3257,plain,
( rR(sK1,sK2,vd1300)
| ~ spl54_24 ),
inference(avatar_component_clause,[],[f3256]) ).
fof(f3258,plain,
( ~ rR(sK1,sK2,vd1300)
| spl54_24 ),
inference(avatar_component_clause,[],[f3256]) ).
fof(f3260,definition,
( spl54_25
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_25])],[avatar_definition]) ).
fof(f3265,definition,
( spl54_26
<=> ! [X0] :
( ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_26])],[avatar_definition]) ).
fof(f3266,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0) )
| ~ spl54_26 ),
inference(avatar_component_clause,[],[f3265]) ).
fof(f3269,definition,
( spl54_27
<=> ! [X0] :
( ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_27])],[avatar_definition]) ).
fof(f3270,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X0) )
| ~ spl54_27 ),
inference(avatar_component_clause,[],[f3269]) ).
fof(f3275,definition,
( spl54_28
<=> ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(vd1300,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_28])],[avatar_definition]) ).
fof(f3276,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(vd1300,X0) )
| ~ spl54_28 ),
inference(avatar_component_clause,[],[f3275]) ).
fof(f3278,definition,
( spl54_29
<=> rR(vd1300,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_29])],[avatar_definition]) ).
fof(f3279,plain,
( rR(vd1300,sK2,sK1)
| ~ spl54_29 ),
inference(avatar_component_clause,[],[f3278]) ).
fof(f3280,plain,
( ~ rR(vd1300,sK2,sK1)
| spl54_29 ),
inference(avatar_component_clause,[],[f3278]) ).
fof(f3282,definition,
( spl54_30
<=> vd684 = vangle(sK1,vd1306,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_30])],[avatar_definition]) ).
fof(f3283,plain,
( vd684 = vangle(sK1,vd1306,sK2)
| ~ spl54_30 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f3284,plain,
( vd684 != vangle(sK1,vd1306,sK2)
| spl54_30 ),
inference(avatar_component_clause,[],[f3282]) ).
fof(f3294,plain,
( spl54_27
| spl54_24
| spl54_25
| spl54_13 ),
inference(avatar_split_clause,[],[f3202,f1862,f3260,f3256,f3269]) ).
fof(f3300,plain,
( spl54_21
| ~ spl54_22
| ~ spl54_23
| spl54_15 ),
inference(avatar_split_clause,[],[f3205,f2010,f3251,f3247,f3244]) ).
fof(f3301,plain,
( spl54_26
| spl54_22
| spl54_23
| spl54_15 ),
inference(avatar_split_clause,[],[f3210,f2010,f3251,f3247,f3265]) ).
fof(f3303,definition,
( spl54_33
<=> rR(sK2,vd1306,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_33])],[avatar_definition]) ).
fof(f3305,plain,
( rR(sK2,vd1306,sK1)
| ~ spl54_33 ),
inference(avatar_component_clause,[],[f3303]) ).
fof(f3308,definition,
( spl54_34
<=> ! [X0] :
( ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_34])],[avatar_definition]) ).
fof(f3309,plain,
( ! [X0] :
( ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0) )
| ~ spl54_34 ),
inference(avatar_component_clause,[],[f3308]) ).
fof(f3312,definition,
( spl54_35
<=> ! [X0] :
( ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_35])],[avatar_definition]) ).
fof(f3313,plain,
( ! [X0] :
( ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) )
| ~ spl54_35 ),
inference(avatar_component_clause,[],[f3312]) ).
fof(f3317,definition,
( spl54_36
<=> rR(sK1,vd1300,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_36])],[avatar_definition]) ).
fof(f3319,plain,
( rR(sK1,vd1300,sK2)
| ~ spl54_36 ),
inference(avatar_component_clause,[],[f3317]) ).
fof(f3329,plain,
( spl54_27
| spl54_36
| spl54_25
| spl54_13
| ~ spl54_19 ),
inference(avatar_split_clause,[],[f3226,f2028,f1862,f3260,f3317,f3269]) ).
fof(f3335,plain,
( spl54_28
| ~ spl54_29
| ~ spl54_30
| spl54_13
| spl54_18 ),
inference(avatar_split_clause,[],[f3229,f2024,f1862,f3282,f3278,f3275]) ).
fof(f3336,plain,
( spl54_27
| spl54_29
| spl54_30
| spl54_13
| spl54_18 ),
inference(avatar_split_clause,[],[f3234,f2024,f1862,f3282,f3278,f3269]) ).
fof(f3338,definition,
( spl54_40
<=> rR(sK2,vd1300,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_40])],[avatar_definition]) ).
fof(f3339,plain,
( ~ rR(sK2,vd1300,sK1)
| spl54_40 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f3340,plain,
( rR(sK2,vd1300,sK1)
| ~ spl54_40 ),
inference(avatar_component_clause,[],[f3338]) ).
fof(f3342,definition,
( spl54_41
<=> vd684 = vangle(vd1306,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_41])],[avatar_definition]) ).
fof(f3343,plain,
( vd684 != vangle(vd1306,sK1,sK2)
| spl54_41 ),
inference(avatar_component_clause,[],[f3342]) ).
fof(f3344,plain,
( vd684 = vangle(vd1306,sK1,sK2)
| ~ spl54_41 ),
inference(avatar_component_clause,[],[f3342]) ).
fof(f3348,plain,
( spl54_27
| spl54_40
| spl54_41
| spl54_18 ),
inference(avatar_split_clause,[],[f3242,f2024,f3342,f3338,f3269]) ).
fof(f3395,plain,
( vd684 != vf(vd1306,vd1306)
| spl54_14
| ~ spl54_15 ),
inference(backward_demodulation,[],[f1868,f2012]) ).
fof(f3411,plain,
( sF53 = vangle(vd1306,vd1306,sK1)
| ~ spl54_15
| ~ spl54_17 ),
inference(backward_demodulation,[],[f2020,f2012]) ).
fof(f3461,plain,
( $false
| spl54_14
| ~ spl54_15 ),
inference(forward_subsumption_resolution,[],[f3395,f1761]) ).
fof(f3462,plain,
( spl54_14
| ~ spl54_15 ),
inference(avatar_contradiction_clause,[],[f3461]) ).
fof(f3693,plain,
( ~ ron(sK1,vd1295)
| ~ spl54_27 ),
inference(unit_resulting_resolution,[],[f3270,f501,f783,f781]) ).
fof(f3716,plain,
( ! [X0] :
( vd684 != vd684
| rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_41 ),
inference(superposition,[],[f3343,f963]) ).
fof(f3719,plain,
( ! [X0] :
( rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_41 ),
inference(trivial_inequality_removal,[],[f3716]) ).
fof(f3772,plain,
( ~ ron(sK2,vd1297)
| ~ spl54_26 ),
inference(unit_resulting_resolution,[],[f3266,f498,f780,f524]) ).
fof(f3792,plain,
( vd684 != vf(vd1306,sK2)
| spl54_15 ),
inference(unit_resulting_resolution,[],[f979,f457,f460,f2011]) ).
fof(f3811,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1297 = vd1295
| ~ rline(vd1297)
| sK3 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f2972,f782]) ).
fof(f3813,plain,
! [X0] :
( ~ ron(X0,vd1295)
| ~ ron(X0,vd1297)
| vd1297 = vd1295
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3811,f498]) ).
fof(f3815,definition,
( spl54_42
<=> vd1297 = vd1295 ),
introduced(definition,[new_symbols(definition,[spl54_42])],[avatar_definition]) ).
fof(f3816,plain,
( vd1297 != vd1295
| spl54_42 ),
inference(avatar_component_clause,[],[f3815]) ).
fof(f3817,plain,
( vd1297 = vd1295
| ~ spl54_42 ),
inference(avatar_component_clause,[],[f3815]) ).
fof(f3819,definition,
( spl54_43
<=> ! [X0] :
( ~ ron(X0,vd1295)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297) ) ),
introduced(definition,[new_symbols(definition,[spl54_43])],[avatar_definition]) ).
fof(f3820,plain,
( ! [X0] :
( ~ ron(X0,vd1295)
| ~ rpoint(X0)
| sK3 = X0
| ~ ron(X0,vd1297) )
| ~ spl54_43 ),
inference(avatar_component_clause,[],[f3819]) ).
fof(f3821,plain,
( spl54_42
| spl54_43 ),
inference(avatar_split_clause,[],[f3813,f3819,f3815]) ).
fof(f3823,plain,
( ron(sK2,vd1297)
| ~ spl54_42 ),
inference(backward_demodulation,[],[f781,f3817]) ).
fof(f3829,plain,
( ~ ron(sK1,vd1297)
| ~ spl54_27
| ~ spl54_42 ),
inference(backward_demodulation,[],[f3693,f3817]) ).
fof(f3830,plain,
( $false
| ~ spl54_27
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f3829,f780]) ).
fof(f3831,plain,
( ~ spl54_27
| ~ spl54_42 ),
inference(avatar_contradiction_clause,[],[f3830]) ).
fof(f3835,plain,
( $false
| ~ spl54_26
| ~ spl54_42 ),
inference(forward_subsumption_resolution,[],[f3823,f3772]) ).
fof(f3836,plain,
( ~ spl54_26
| ~ spl54_42 ),
inference(avatar_contradiction_clause,[],[f3835]) ).
fof(f3842,plain,
( ! [X0] :
( rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f3719,f757]) ).
fof(f3843,plain,
( ! [X0] :
( rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_16
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f3842,f2015]) ).
fof(f3844,plain,
( ! [X0] :
( rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_16
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f3843,f460]) ).
fof(f3845,plain,
( ! [X0] :
( rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_16
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f3844,f457]) ).
fof(f3846,plain,
( ! [X0] :
( rR(sK1,vd1306,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_16
| spl54_41 ),
inference(forward_subsumption_resolution,[],[f3845,f462]) ).
fof(f3848,definition,
( spl54_44
<=> rR(sK1,vd1306,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_44])],[avatar_definition]) ).
fof(f3849,plain,
( ~ rR(sK1,vd1306,sK2)
| spl54_44 ),
inference(avatar_component_clause,[],[f3848]) ).
fof(f3850,plain,
( rR(sK1,vd1306,sK2)
| ~ spl54_44 ),
inference(avatar_component_clause,[],[f3848]) ).
fof(f3851,plain,
( spl54_26
| spl54_44
| spl54_16
| spl54_41 ),
inference(avatar_split_clause,[],[f3846,f3342,f2014,f3848,f3265]) ).
fof(f3856,plain,
( vd684 = vangle(vd1300,sK2,sK1)
| ~ spl54_41 ),
inference(backward_demodulation,[],[f750,f3344]) ).
fof(f3859,plain,
( rR(sK2,sK1,vd1300)
| ~ spl54_40 ),
inference(unit_resulting_resolution,[],[f911,f526,f460,f462,f3340]) ).
fof(f3871,plain,
( ~ rR(sK1,sK2,vd1306)
| ~ spl54_22 ),
inference(unit_resulting_resolution,[],[f900,f460,f462,f457,f3248]) ).
fof(f3873,plain,
( rR(sK2,vd1306,sK1)
| ~ spl54_22 ),
inference(unit_resulting_resolution,[],[f911,f462,f460,f457,f3248]) ).
fof(f3874,plain,
( ~ rR(sK3,sK1,sK2)
| ~ spl54_22 ),
inference(unit_resulting_resolution,[],[f1222,f462,f460,f457,f458,f765,f3248]) ).
fof(f3893,plain,
( ~ rR(sK2,sK1,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_24 ),
inference(resolution,[],[f3257,f900]) ).
fof(f3895,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_24
| ~ spl54_40 ),
inference(forward_subsumption_resolution,[],[f3893,f3859]) ).
fof(f3904,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_24
| ~ spl54_40 ),
inference(forward_subsumption_resolution,[],[f3895,f526]) ).
fof(f3907,plain,
( ~ rpoint(sK1)
| ~ spl54_24
| ~ spl54_40 ),
inference(forward_subsumption_resolution,[],[f3904,f460]) ).
fof(f3910,plain,
( $false
| ~ spl54_24
| ~ spl54_40 ),
inference(forward_subsumption_resolution,[],[f3907,f462]) ).
fof(f3911,plain,
( ~ spl54_24
| ~ spl54_40 ),
inference(avatar_contradiction_clause,[],[f3910]) ).
fof(f3913,plain,
( ron(sK2,vd1297)
| spl54_15
| spl54_16
| ~ spl54_30 ),
inference(unit_resulting_resolution,[],[f959,f457,f462,f460,f498,f780,f524,f2015,f2011,f3283]) ).
fof(f3914,plain,
( ~ rR(vd1306,sK1,sK2)
| spl54_15
| spl54_16
| ~ spl54_30 ),
inference(unit_resulting_resolution,[],[f955,f457,f462,f460,f498,f524,f780,f2015,f2011,f3283]) ).
fof(f3955,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| ~ spl54_41 ),
inference(superposition,[],[f955,f3344]) ).
fof(f3958,plain,
( ! [X0] :
( ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| ~ spl54_41 ),
inference(trivial_inequality_removal,[],[f3955]) ).
fof(f3959,plain,
( ! [X0] :
( ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f3958,f757]) ).
fof(f3965,plain,
( ! [X0] :
( ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_16
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f3959,f2015]) ).
fof(f3970,plain,
( ! [X0] :
( ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK1) )
| spl54_16
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f3965,f460]) ).
fof(f3975,plain,
( ! [X0] :
( ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_16
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f3970,f457]) ).
fof(f3980,plain,
( ! [X0] :
( ~ rR(sK1,vd1306,sK2)
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_16
| ~ spl54_41 ),
inference(forward_subsumption_resolution,[],[f3975,f462]) ).
fof(f3986,definition,
( spl54_45
<=> ! [X0] :
( ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).
fof(f3987,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(vd1306,X0) )
| ~ spl54_45 ),
inference(avatar_component_clause,[],[f3986]) ).
fof(f3988,plain,
( spl54_45
| ~ spl54_44
| spl54_16
| ~ spl54_41 ),
inference(avatar_split_clause,[],[f3980,f3342,f2014,f3848,f3986]) ).
fof(f3989,plain,
( ~ rR(sK1,sK2,vd1306)
| spl54_44 ),
inference(unit_resulting_resolution,[],[f911,f460,f462,f457,f3849]) ).
fof(f3992,plain,
( ~ rR(vd1300,sK1,sK2)
| ~ spl54_36 ),
inference(unit_resulting_resolution,[],[f900,f462,f526,f460,f3319]) ).
fof(f4007,plain,
( ~ rR(vd1306,sK2,sK1)
| ~ spl54_33 ),
inference(unit_resulting_resolution,[],[f900,f460,f457,f462,f3305]) ).
fof(f4163,plain,
( ron(sK2,vd1297)
| ~ spl54_22 ),
inference(unit_resulting_resolution,[],[f1000,f462,f460,f457,f498,f780,f524,f3248]) ).
fof(f4174,plain,
! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1000,f771]) ).
fof(f4175,plain,
! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4174,f526]) ).
fof(f4180,plain,
! [X0] :
( ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4175,f460]) ).
fof(f4185,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vd1300,X0)
| ron(sK2,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f4180,f458]) ).
fof(f4190,plain,
( ~ ron(vd1300,vd1297)
| ron(sK2,vd1297)
| ~ rline(vd1297) ),
inference(resolution,[],[f4185,f782]) ).
fof(f4201,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1306) )
| ~ spl54_33 ),
inference(resolution,[],[f897,f3305]) ).
fof(f4209,plain,
! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f897,f771]) ).
fof(f4210,plain,
! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4209,f526]) ).
fof(f4218,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306) )
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f4201,f462]) ).
fof(f4219,plain,
! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(vd1300,X0)
| ~ rline(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f4210,f460]) ).
fof(f4227,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1306) )
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f4218,f460]) ).
fof(f4228,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ron(vd1300,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f4219,f458]) ).
fof(f4236,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f4227,f457]) ).
fof(f4240,plain,
( spl54_34
| ~ spl54_33 ),
inference(avatar_split_clause,[],[f4236,f3303,f3308]) ).
fof(f4243,definition,
( spl54_46
<=> ron(sK1,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_46])],[avatar_definition]) ).
fof(f4244,plain,
( ron(sK1,vd1295)
| ~ spl54_46 ),
inference(avatar_component_clause,[],[f4243]) ).
fof(f4245,plain,
( ~ ron(sK1,vd1295)
| spl54_46 ),
inference(avatar_component_clause,[],[f4243]) ).
fof(f4247,definition,
( spl54_47
<=> ron(vd1306,vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_47])],[avatar_definition]) ).
fof(f4248,plain,
( ron(vd1306,vd1295)
| ~ spl54_47 ),
inference(avatar_component_clause,[],[f4247]) ).
fof(f4249,plain,
( ~ ron(vd1306,vd1295)
| spl54_47 ),
inference(avatar_component_clause,[],[f4247]) ).
fof(f4251,definition,
( spl54_48
<=> rline(vd1295) ),
introduced(definition,[new_symbols(definition,[spl54_48])],[avatar_definition]) ).
fof(f4252,plain,
( rline(vd1295)
| ~ spl54_48 ),
inference(avatar_component_clause,[],[f4251]) ).
fof(f4256,plain,
( ~ spl54_46
| ~ spl54_27 ),
inference(avatar_split_clause,[],[f3693,f3269,f4243]) ).
fof(f4257,plain,
spl54_48,
inference(avatar_split_clause,[],[f501,f4251]) ).
fof(f4355,plain,
( vd684 != sF52
| ~ spl54_23 ),
inference(backward_demodulation,[],[f1571,f3252]) ).
fof(f4363,plain,
( ~ ron(vd1300,vd1297)
| ~ rline(vd1297)
| ~ spl54_28 ),
inference(forward_subsumption_resolution,[],[f4190,f3276]) ).
fof(f4365,plain,
( ~ ron(vd1300,vd1297)
| ~ spl54_28 ),
inference(forward_subsumption_resolution,[],[f4363,f498]) ).
fof(f4398,plain,
( spl54_33
| ~ spl54_22 ),
inference(avatar_split_clause,[],[f3873,f3247,f3303]) ).
fof(f4458,plain,
( ~ rR(sK2,vd1300,sK1)
| spl54_18
| ~ spl54_41
| ~ spl54_48 ),
inference(unit_resulting_resolution,[],[f955,f460,f526,f462,f4252,f2025,f757,f781,f3856,f783]) ).
fof(f4460,plain,
( ron(sK1,vd1295)
| spl54_18
| ~ spl54_41
| ~ spl54_48 ),
inference(unit_resulting_resolution,[],[f959,f460,f526,f462,f4252,f2025,f757,f781,f3856,f783]) ).
fof(f4479,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1306) )
| ~ spl54_33 ),
inference(resolution,[],[f3305,f1000]) ).
fof(f4518,plain,
( vd1297 = vd1295
| ~ spl54_46
| ~ spl54_48 ),
inference(unit_resulting_resolution,[],[f2971,f462,f4252,f778,f784,f780,f4244]) ).
fof(f4536,plain,
( $false
| spl54_42
| ~ spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f4518,f3816]) ).
fof(f4537,plain,
( spl54_42
| ~ spl54_46
| ~ spl54_48 ),
inference(avatar_contradiction_clause,[],[f4536]) ).
fof(f4547,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1306) )
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f4479,f462]) ).
fof(f4550,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1306) )
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f4547,f460]) ).
fof(f4552,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ron(sK2,X0)
| ~ rline(X0) )
| ~ spl54_33 ),
inference(forward_subsumption_resolution,[],[f4550,f457]) ).
fof(f4560,plain,
( spl54_46
| spl54_18
| ~ spl54_41
| ~ spl54_48 ),
inference(avatar_split_clause,[],[f4460,f4251,f3342,f2024,f4243]) ).
fof(f4586,plain,
( rR(vd1300,sK1,sK2)
| ~ spl54_29 ),
inference(unit_resulting_resolution,[],[f911,f460,f526,f462,f3279]) ).
fof(f4656,plain,
( ! [X0] :
( vd684 != vd684
| rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| vd1306 = sK2
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| spl54_30 ),
inference(superposition,[],[f3284,f963]) ).
fof(f4659,plain,
( ! [X0] :
( rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| vd1306 = sK2
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| spl54_30 ),
inference(trivial_inequality_removal,[],[f4656]) ).
fof(f4662,plain,
( ! [X0] :
( rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| vd1306 = sK1
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| spl54_15
| spl54_30 ),
inference(forward_subsumption_resolution,[],[f4659,f2011]) ).
fof(f4665,plain,
( ! [X0] :
( rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| spl54_15
| spl54_16
| spl54_30 ),
inference(forward_subsumption_resolution,[],[f4662,f2015]) ).
fof(f4668,plain,
( ! [X0] :
( rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| spl54_15
| spl54_16
| spl54_30 ),
inference(forward_subsumption_resolution,[],[f4665,f460]) ).
fof(f4671,plain,
( ! [X0] :
( rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ rpoint(vd1306) )
| spl54_15
| spl54_16
| spl54_30 ),
inference(forward_subsumption_resolution,[],[f4668,f462]) ).
fof(f4674,plain,
( ! [X0] :
( rR(vd1306,sK1,sK2)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0) )
| spl54_15
| spl54_16
| spl54_30 ),
inference(forward_subsumption_resolution,[],[f4671,f457]) ).
fof(f4677,definition,
( spl54_49
<=> rR(vd1306,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_49])],[avatar_definition]) ).
fof(f4678,plain,
( ~ rR(vd1306,sK1,sK2)
| spl54_49 ),
inference(avatar_component_clause,[],[f4677]) ).
fof(f4679,plain,
( rR(vd1306,sK1,sK2)
| ~ spl54_49 ),
inference(avatar_component_clause,[],[f4677]) ).
fof(f4695,plain,
( rR(vd1306,sK2,sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ spl54_49 ),
inference(resolution,[],[f4679,f911]) ).
fof(f4696,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ spl54_33
| ~ spl54_49 ),
inference(forward_subsumption_resolution,[],[f4695,f4007]) ).
fof(f4703,plain,
( ~ rpoint(vd1306)
| ~ rpoint(sK1)
| ~ spl54_33
| ~ spl54_49 ),
inference(forward_subsumption_resolution,[],[f4696,f460]) ).
fof(f4706,plain,
( ~ rpoint(sK1)
| ~ spl54_33
| ~ spl54_49 ),
inference(forward_subsumption_resolution,[],[f4703,f457]) ).
fof(f4709,plain,
( $false
| ~ spl54_33
| ~ spl54_49 ),
inference(forward_subsumption_resolution,[],[f4706,f462]) ).
fof(f4710,plain,
( ~ spl54_33
| ~ spl54_49 ),
inference(avatar_contradiction_clause,[],[f4709]) ).
fof(f4715,plain,
( ~ rline(vd1297)
| ~ ron(vd1306,vd1297)
| ~ spl54_45 ),
inference(resolution,[],[f3987,f780]) ).
fof(f4717,plain,
( ~ ron(vd1306,vd1297)
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f4715,f498]) ).
fof(f4724,plain,
( $false
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f4717,f524]) ).
fof(f4725,plain,
~ spl54_45,
inference(avatar_contradiction_clause,[],[f4724]) ).
fof(f4732,plain,
( ~ spl54_25
| ~ spl54_23 ),
inference(avatar_split_clause,[],[f4355,f3251,f3260]) ).
fof(f4735,plain,
( $false
| ~ spl54_29
| ~ spl54_36 ),
inference(forward_subsumption_resolution,[],[f3992,f4586]) ).
fof(f4736,plain,
( ~ spl54_29
| ~ spl54_36 ),
inference(avatar_contradiction_clause,[],[f4735]) ).
fof(f4749,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0) )
| ~ spl54_33
| ~ spl54_35 ),
inference(forward_subsumption_resolution,[],[f4552,f3313]) ).
fof(f4756,plain,
( spl54_45
| ~ spl54_33
| ~ spl54_35 ),
inference(avatar_split_clause,[],[f4749,f3312,f3303,f3986]) ).
fof(f4768,definition,
( spl54_50
<=> ron(sK2,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_50])],[avatar_definition]) ).
fof(f4769,plain,
( ~ ron(sK2,vd1297)
| spl54_50 ),
inference(avatar_component_clause,[],[f4768]) ).
fof(f4770,plain,
( ron(sK2,vd1297)
| ~ spl54_50 ),
inference(avatar_component_clause,[],[f4768]) ).
fof(f4772,definition,
( spl54_51
<=> ron(vd1300,vd1297) ),
introduced(definition,[new_symbols(definition,[spl54_51])],[avatar_definition]) ).
fof(f4773,plain,
( ron(vd1300,vd1297)
| ~ spl54_51 ),
inference(avatar_component_clause,[],[f4772]) ).
fof(f4774,plain,
( ~ ron(vd1300,vd1297)
| spl54_51 ),
inference(avatar_component_clause,[],[f4772]) ).
fof(f4780,plain,
( ~ spl54_51
| ~ spl54_28 ),
inference(avatar_split_clause,[],[f4365,f3275,f4772]) ).
fof(f4793,plain,
( ron(sK2,vd1297)
| ~ spl54_44 ),
inference(unit_resulting_resolution,[],[f897,f457,f462,f460,f498,f524,f780,f3850]) ).
fof(f4796,plain,
( rR(sK1,sK2,vd1306)
| ~ spl54_44 ),
inference(unit_resulting_resolution,[],[f911,f457,f462,f460,f3850]) ).
fof(f4808,plain,
( spl54_50
| ~ spl54_44 ),
inference(avatar_split_clause,[],[f4793,f3848,f4768]) ).
fof(f4918,plain,
( $false
| ~ spl54_26
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f3772,f4770]) ).
fof(f4919,plain,
( ~ spl54_26
| ~ spl54_50 ),
inference(avatar_contradiction_clause,[],[f4918]) ).
fof(f4983,plain,
( ~ ron(vd1306,vd1295)
| ~ spl54_43 ),
inference(unit_resulting_resolution,[],[f3820,f457,f524,f787]) ).
fof(f4991,plain,
( $false
| ~ spl54_43
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f4983,f4248]) ).
fof(f4992,plain,
( ~ spl54_43
| ~ spl54_47 ),
inference(avatar_contradiction_clause,[],[f4991]) ).
fof(f5146,plain,
( ~ rR(sK3,vd1300,sK1)
| spl54_40 ),
inference(unit_resulting_resolution,[],[f1222,f526,f458,f462,f460,f3339,f1627]) ).
fof(f5342,plain,
( ! [X0] :
( sK2 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rline(sK9(X0,sK2))
| ~ ron(sK1,sK9(X0,sK2)) )
| ~ spl54_21 ),
inference(resolution,[],[f1028,f3245]) ).
fof(f5352,plain,
( ! [X0] :
( sK2 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ ron(sK1,sK9(X0,sK2)) )
| ~ spl54_21 ),
inference(forward_subsumption_resolution,[],[f5342,f1032]) ).
fof(f5365,plain,
( ! [X0] :
( ~ ron(sK1,sK9(X0,sK2))
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl54_21 ),
inference(forward_subsumption_resolution,[],[f5352,f460]) ).
fof(f5403,plain,
( sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK1)
| sK1 = sK2
| ~ spl54_21 ),
inference(resolution,[],[f1030,f5365]) ).
fof(f5414,plain,
( sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_21 ),
inference(duplicate_literal_removal,[],[f5403]) ).
fof(f5427,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_21 ),
inference(forward_subsumption_resolution,[],[f5414,f757]) ).
fof(f5443,plain,
( ~ rpoint(sK1)
| ~ spl54_21 ),
inference(forward_subsumption_resolution,[],[f5427,f460]) ).
fof(f5446,plain,
( $false
| ~ spl54_21 ),
inference(forward_subsumption_resolution,[],[f5443,f462]) ).
fof(f5447,plain,
~ spl54_21,
inference(avatar_contradiction_clause,[],[f5446]) ).
fof(f5463,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0) )
| spl54_15
| spl54_16
| spl54_30
| spl54_49 ),
inference(forward_subsumption_resolution,[],[f4674,f4678]) ).
fof(f5492,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(vd1306,X0)
| ~ rline(X0) )
| spl54_15
| spl54_16
| spl54_30
| ~ spl54_34
| spl54_49 ),
inference(forward_subsumption_resolution,[],[f5463,f3309]) ).
fof(f5520,plain,
( spl54_35
| spl54_15
| spl54_16
| spl54_30
| ~ spl54_34
| spl54_49 ),
inference(avatar_split_clause,[],[f5492,f4677,f3308,f3282,f2014,f2010,f3312]) ).
fof(f5705,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,sK1,sK1)
| rR(sK2,vd1306,vd1300)
| sK1 = sK2
| vd1306 = sK2
| ~ ron(sK1,X0)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| ~ spl54_17
| spl54_18 ),
inference(superposition,[],[f2020,f3239]) ).
fof(f5720,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,sK1,sK1)
| rR(sK2,vd1306,vd1300)
| sK1 = sK2
| vd1306 = sK2
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| ~ spl54_17
| spl54_18 ),
inference(duplicate_literal_removal,[],[f5705]) ).
fof(f5724,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,vd1306,vd1300)
| sK1 = sK2
| vd1306 = sK2
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| ~ spl54_17
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f5720,f1747]) ).
fof(f5728,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,vd1306,vd1300)
| vd1306 = sK2
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| ~ spl54_17
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f5724,f757]) ).
fof(f5732,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,vd1306,vd1300)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(vd1306) )
| spl54_15
| ~ spl54_17
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f5728,f2011]) ).
fof(f5736,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,vd1306,vd1300)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1306) )
| spl54_15
| ~ spl54_17
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f5732,f462]) ).
fof(f5740,plain,
( ! [X0,X1] :
( vangle(vd1306,sK1,sK2) = sF53
| rR(sK2,vd1306,vd1300)
| ~ ron(sK1,X0)
| ~ ron(vd1300,X1)
| ~ ron(vd1306,X1)
| ~ ron(sK2,X1)
| ~ rline(X0)
| ~ rline(X1) )
| spl54_15
| ~ spl54_17
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f5736,f457]) ).
fof(f5742,definition,
( spl54_58
<=> ! [X1] :
( ~ ron(vd1306,X1)
| ~ rline(X1)
| ~ ron(sK2,X1)
| ~ ron(vd1300,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_58])],[avatar_definition]) ).
fof(f5743,plain,
( ! [X1] :
( ~ ron(sK2,X1)
| ~ rline(X1)
| ~ ron(vd1306,X1)
| ~ ron(vd1300,X1) )
| ~ spl54_58 ),
inference(avatar_component_clause,[],[f5742]) ).
fof(f5745,definition,
( spl54_59
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_59])],[avatar_definition]) ).
fof(f5746,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_59 ),
inference(avatar_component_clause,[],[f5745]) ).
fof(f5752,definition,
( spl54_61
<=> vangle(vd1306,sK1,sK2) = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_61])],[avatar_definition]) ).
fof(f5754,plain,
( vangle(vd1306,sK1,sK2) = sF53
| ~ spl54_61 ),
inference(avatar_component_clause,[],[f5752]) ).
fof(f5757,definition,
( spl54_62
<=> rR(sK2,vd1306,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_62])],[avatar_definition]) ).
fof(f5759,plain,
( rR(sK2,vd1306,vd1300)
| ~ spl54_62 ),
inference(avatar_component_clause,[],[f5757]) ).
fof(f5762,plain,
( spl54_58
| spl54_59
| spl54_62
| spl54_61
| spl54_15
| ~ spl54_17
| spl54_18 ),
inference(avatar_split_clause,[],[f5740,f2024,f2018,f2010,f5752,f5757,f5745,f5742]) ).
fof(f5765,plain,
( ~ rline(vd1297)
| ~ spl54_59 ),
inference(unit_resulting_resolution,[],[f5746,f780]) ).
fof(f5777,plain,
( $false
| ~ spl54_59 ),
inference(forward_subsumption_resolution,[],[f5765,f498]) ).
fof(f5778,plain,
~ spl54_59,
inference(avatar_contradiction_clause,[],[f5777]) ).
fof(f5855,plain,
( vangle(vd1300,sK2,sK1) = sF53
| ~ spl54_61 ),
inference(backward_demodulation,[],[f750,f5754]) ).
fof(f6692,plain,
( ~ ron(sK1,vd1295)
| spl54_13
| spl54_18
| spl54_24
| spl54_29
| spl54_40
| ~ spl54_48 ),
inference(unit_resulting_resolution,[],[f996,f460,f526,f462,f4252,f781,f783,f2025,f757,f1863,f3258,f3339,f3280]) ).
fof(f7022,plain,
( vd684 != vangle(vd1300,sK3,sK1)
| spl54_46
| ~ spl54_48 ),
inference(unit_resulting_resolution,[],[f959,f458,f526,f462,f4252,f785,f778,f784,f783,f4245]) ).
fof(f7028,plain,
( vd684 != vangle(vd1306,sK3,vd1300)
| spl54_46
| ~ spl54_48 ),
inference(forward_demodulation,[],[f7022,f2005]) ).
fof(f7442,plain,
( ~ rR(sK2,sK3,vd1306)
| spl54_50 ),
inference(unit_resulting_resolution,[],[f1000,f458,f460,f457,f498,f782,f524,f4769]) ).
fof(f7490,plain,
! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| vd1300 = sK1
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(superposition,[],[f959,f1973]) ).
fof(f7499,plain,
( ! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f7490,f1863]) ).
fof(f7510,plain,
( ! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f7499,f778]) ).
fof(f7521,plain,
( ! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f7510,f526]) ).
fof(f7532,plain,
( ! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f7521,f458]) ).
fof(f7543,plain,
( ! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f7532,f462]) ).
fof(f7555,definition,
( spl54_74
<=> ! [X0] :
( ron(vd1300,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_74])],[avatar_definition]) ).
fof(f7556,plain,
( ! [X0] :
( ron(vd1300,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) )
| ~ spl54_74 ),
inference(avatar_component_clause,[],[f7555]) ).
fof(f7558,definition,
( spl54_75
<=> vd684 = vangle(vd1306,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_75])],[avatar_definition]) ).
fof(f7559,plain,
( vd684 = vangle(vd1306,sK2,sK3)
| ~ spl54_75 ),
inference(avatar_component_clause,[],[f7558]) ).
fof(f7560,plain,
( vd684 != vangle(vd1306,sK2,sK3)
| spl54_75 ),
inference(avatar_component_clause,[],[f7558]) ).
fof(f7561,plain,
( spl54_74
| ~ spl54_75
| spl54_13 ),
inference(avatar_split_clause,[],[f7543,f1862,f7558,f7555]) ).
fof(f7572,definition,
( spl54_77
<=> ! [X1] :
( ~ ron(sK3,X1)
| ~ rline(X1)
| ~ ron(sK1,X1)
| ~ ron(sK2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_77])],[avatar_definition]) ).
fof(f7573,plain,
( ! [X1] :
( ~ ron(sK3,X1)
| ~ rline(X1)
| ~ ron(sK1,X1)
| ~ ron(sK2,X1) )
| ~ spl54_77 ),
inference(avatar_component_clause,[],[f7572]) ).
fof(f7779,definition,
( spl54_84
<=> ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_84])],[avatar_definition]) ).
fof(f7780,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) )
| ~ spl54_84 ),
inference(avatar_component_clause,[],[f7779]) ).
fof(f7835,plain,
! [X0] :
( vd684 != vangle(vd1306,sK2,sK3)
| ~ rR(sK1,sK3,vd1300)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| vd1300 = sK1
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(superposition,[],[f955,f1973]) ).
fof(f8039,definition,
( spl54_85
<=> vd1303 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_85])],[avatar_definition]) ).
fof(f8040,plain,
( vd1303 != sK3
| spl54_85 ),
inference(avatar_component_clause,[],[f8039]) ).
fof(f8041,plain,
( vd1303 = sK3
| ~ spl54_85 ),
inference(avatar_component_clause,[],[f8039]) ).
fof(f8048,plain,
( rR(vd1306,vd1303,vd1303)
| ~ spl54_85 ),
inference(backward_demodulation,[],[f764,f8041]) ).
fof(f8431,plain,
( $false
| ~ spl54_85 ),
inference(forward_subsumption_resolution,[],[f8048,f1731]) ).
fof(f8432,plain,
~ spl54_85,
inference(avatar_contradiction_clause,[],[f8431]) ).
fof(f9334,plain,
( vangle(sK1,sK3,sK1) = vangle(vd1306,sK3,vd1303)
| spl54_85 ),
inference(unit_resulting_resolution,[],[f877,f458,f462,f462,f457,f493,f498,f498,f782,f780,f524,f780,f767,f778,f765,f787,f778,f8040,f1840]) ).
fof(f9345,plain,
( vangle(vd1306,sK3,vd1306) = vangle(vd1306,sK3,vd1303)
| spl54_85 ),
inference(forward_demodulation,[],[f9334,f1682]) ).
fof(f9471,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK3,vd1300) = vangle(X0,sK3,X1)
| rR(sK3,X1,vd1306)
| rR(sK3,X0,sK2)
| vd1306 = sK3
| sK2 = sK3
| sK3 = X1
| sK3 = X0
| ~ ron(vd1306,X2)
| ~ ron(X1,X2)
| ~ ron(sK2,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(superposition,[],[f877,f2004]) ).
fof(f9474,plain,
! [X0] :
( vd684 != vangle(vd1306,sK3,vd1300)
| ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| vd1306 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f959,f2004]) ).
fof(f9480,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK3,vd1300) = vangle(X0,sK3,X1)
| rR(sK3,X1,vd1306)
| rR(sK3,X0,sK2)
| sK2 = sK3
| sK3 = X1
| sK3 = X0
| ~ ron(vd1306,X2)
| ~ ron(X1,X2)
| ~ ron(sK2,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f9471,f787]) ).
fof(f9484,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK3,vd1300) = vangle(X0,sK3,X1)
| rR(sK3,X1,vd1306)
| rR(sK3,X0,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(vd1306,X2)
| ~ ron(X1,X2)
| ~ ron(sK2,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f9480,f779]) ).
fof(f9488,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK3,vd1300) = vangle(X0,sK3,X1)
| rR(sK3,X1,vd1306)
| rR(sK3,X0,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(vd1306,X2)
| ~ ron(X1,X2)
| ~ ron(sK2,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(sK2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f9484,f457]) ).
fof(f9492,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK3,vd1300) = vangle(X0,sK3,X1)
| rR(sK3,X1,vd1306)
| rR(sK3,X0,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(vd1306,X2)
| ~ ron(X1,X2)
| ~ ron(sK2,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f9488,f460]) ).
fof(f9496,plain,
! [X2,X3,X0,X1] :
( vangle(vd1306,sK3,vd1300) = vangle(X0,sK3,X1)
| rR(sK3,X1,vd1306)
| rR(sK3,X0,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(vd1306,X2)
| ~ ron(X1,X2)
| ~ ron(sK2,X3)
| ~ ron(X0,X3)
| ~ ron(sK3,X3)
| ~ rline(X2)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f9492,f458]) ).
fof(f9509,plain,
! [X0,X1] :
( vd684 = vangle(vd1306,sK3,vd1300)
| rR(sK3,vd1300,vd1306)
| rR(sK3,sK2,sK2)
| vd1300 = sK3
| sK2 = sK3
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) ),
inference(superposition,[],[f9496,f1767]) ).
fof(f9536,plain,
! [X0,X1] :
( vd684 = vangle(vd1306,sK3,vd1300)
| rR(sK3,vd1300,vd1306)
| rR(sK3,sK2,sK2)
| vd1300 = sK3
| sK2 = sK3
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) ),
inference(duplicate_literal_removal,[],[f9509]) ).
fof(f9555,plain,
( ! [X0,X1] :
( rR(sK3,vd1300,vd1306)
| rR(sK3,sK2,sK2)
| vd1300 = sK3
| sK2 = sK3
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) )
| spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f9536,f7028]) ).
fof(f9572,plain,
( ! [X0,X1] :
( rR(sK3,vd1300,vd1306)
| vd1300 = sK3
| sK2 = sK3
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) )
| spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f9555,f1754]) ).
fof(f9584,plain,
( ! [X0,X1] :
( rR(sK3,vd1300,vd1306)
| sK2 = sK3
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) )
| spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f9572,f785]) ).
fof(f9595,plain,
( ! [X0,X1] :
( rR(sK3,vd1300,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) )
| spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f9584,f779]) ).
fof(f9606,plain,
( ! [X0,X1] :
( rR(sK3,vd1300,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK2) )
| spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f9595,f526]) ).
fof(f9612,definition,
( spl54_87
<=> vd1306 = vd1300 ),
introduced(definition,[new_symbols(definition,[spl54_87])],[avatar_definition]) ).
fof(f9614,plain,
( vd1306 = vd1300
| ~ spl54_87 ),
inference(avatar_component_clause,[],[f9612]) ).
fof(f9619,definition,
( spl54_89
<=> rR(sK3,vd1300,vd1306) ),
introduced(definition,[new_symbols(definition,[spl54_89])],[avatar_definition]) ).
fof(f9620,plain,
( rR(sK3,vd1300,vd1306)
| ~ spl54_89 ),
inference(avatar_component_clause,[],[f9619]) ).
fof(f9645,plain,
( ! [X0,X1] :
( rR(sK3,vd1300,vd1306)
| ~ ron(vd1306,X0)
| ~ ron(vd1300,X0)
| ~ ron(sK2,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1) )
| spl54_46
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f9606,f460]) ).
fof(f9648,definition,
( spl54_96
<=> ! [X1] :
( ~ ron(sK2,X1)
| ~ rline(X1)
| ~ ron(sK3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_96])],[avatar_definition]) ).
fof(f9649,plain,
( ! [X1] :
( ~ ron(sK3,X1)
| ~ rline(X1)
| ~ ron(sK2,X1) )
| ~ spl54_96 ),
inference(avatar_component_clause,[],[f9648]) ).
fof(f9651,definition,
( spl54_97
<=> ! [X0] :
( ~ ron(vd1306,X0)
| ~ rline(X0)
| ~ ron(vd1300,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_97])],[avatar_definition]) ).
fof(f9652,plain,
( ! [X0] :
( ~ ron(vd1300,X0)
| ~ rline(X0)
| ~ ron(vd1306,X0) )
| ~ spl54_97 ),
inference(avatar_component_clause,[],[f9651]) ).
fof(f9654,plain,
( spl54_96
| spl54_97
| spl54_89
| spl54_46
| ~ spl54_48 ),
inference(avatar_split_clause,[],[f9645,f4251,f4243,f9619,f9651,f9648]) ).
fof(f9656,plain,
( ron(vd1306,vd1295)
| ~ spl54_48
| ~ spl54_89 ),
inference(unit_resulting_resolution,[],[f897,f526,f458,f457,f4252,f783,f784,f9620]) ).
fof(f9681,plain,
( $false
| spl54_47
| ~ spl54_48
| ~ spl54_89 ),
inference(forward_subsumption_resolution,[],[f9656,f4249]) ).
fof(f9682,plain,
( spl54_47
| ~ spl54_48
| ~ spl54_89 ),
inference(avatar_contradiction_clause,[],[f9681]) ).
fof(f9710,plain,
( ~ rline(vd1295)
| ~ ron(sK2,vd1295)
| ~ spl54_96 ),
inference(resolution,[],[f9649,f784]) ).
fof(f9717,plain,
( ~ ron(sK2,vd1295)
| ~ spl54_48
| ~ spl54_96 ),
inference(forward_subsumption_resolution,[],[f9710,f4252]) ).
fof(f9726,plain,
( $false
| ~ spl54_48
| ~ spl54_96 ),
inference(forward_subsumption_resolution,[],[f9717,f781]) ).
fof(f9727,plain,
( ~ spl54_48
| ~ spl54_96 ),
inference(avatar_contradiction_clause,[],[f9726]) ).
fof(f9731,plain,
( ! [X0] :
( ~ rline(sK9(X0,vd1300))
| ~ ron(vd1306,sK9(X0,vd1300))
| vd1300 = X0
| ~ rpoint(vd1300)
| ~ rpoint(X0) )
| ~ spl54_97 ),
inference(resolution,[],[f9652,f1028]) ).
fof(f9734,plain,
( ! [X0] :
( ~ ron(vd1306,sK9(X0,vd1300))
| vd1300 = X0
| ~ rpoint(vd1300)
| ~ rpoint(X0) )
| ~ spl54_97 ),
inference(forward_subsumption_resolution,[],[f9731,f1032]) ).
fof(f9736,plain,
( ! [X0] :
( ~ ron(vd1306,sK9(X0,vd1300))
| vd1300 = X0
| ~ rpoint(X0) )
| ~ spl54_97 ),
inference(forward_subsumption_resolution,[],[f9734,f526]) ).
fof(f10003,plain,
( ~ rline(vd1295)
| ~ ron(vd1306,vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl54_58 ),
inference(resolution,[],[f5743,f781]) ).
fof(f10067,plain,
( ~ ron(sK2,vd1297)
| spl54_15
| spl54_16
| spl54_22
| spl54_44
| spl54_49 ),
inference(unit_resulting_resolution,[],[f996,f462,f460,f457,f498,f780,f524,f757,f2015,f2011,f4678,f3249,f3989]) ).
fof(f10221,plain,
( vd684 = vangle(vd1306,sK3,vd1303)
| spl54_85 ),
inference(unit_resulting_resolution,[],[f963,f458,f457,f493,f498,f524,f767,f782,f787,f8040,f1841]) ).
fof(f10230,plain,
( vd684 = vangle(vd1306,sK3,vd1306)
| spl54_85 ),
inference(backward_demodulation,[],[f9345,f10221]) ).
fof(f10237,plain,
( vd684 = vangle(sK1,sK3,sK1)
| spl54_85 ),
inference(backward_demodulation,[],[f1682,f10230]) ).
fof(f11276,plain,
( ~ ron(sK2,vd1297)
| ~ spl54_77 ),
inference(unit_resulting_resolution,[],[f7573,f498,f780,f782]) ).
fof(f11284,plain,
( ~ ron(sK2,vd1297)
| ~ spl54_43 ),
inference(unit_resulting_resolution,[],[f3820,f460,f779,f781]) ).
fof(f11664,plain,
( ! [X0] :
( vd684 != vd684
| rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| vd1306 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2) )
| spl54_75 ),
inference(superposition,[],[f7560,f963]) ).
fof(f11667,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| vd1306 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2) )
| spl54_75 ),
inference(trivial_inequality_removal,[],[f11664]) ).
fof(f11818,plain,
( ~ ron(sK2,vd1297)
| ron(vd1300,vd1297)
| ~ rline(vd1297) ),
inference(resolution,[],[f4228,f782]) ).
fof(f12455,plain,
( ! [X0,X1] :
( vd684 = vangle(vd1306,sK3,vd1300)
| rR(sK3,sK1,vd1306)
| rR(sK3,sK1,sK2)
| sK1 = sK3
| sK1 = sK3
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1)
| ~ rpoint(sK1) )
| spl54_85 ),
inference(superposition,[],[f10237,f9496]) ).
fof(f12479,plain,
( ! [X0,X1] :
( vd684 = vangle(vd1306,sK3,vd1300)
| rR(sK3,sK1,vd1306)
| rR(sK3,sK1,sK2)
| sK1 = sK3
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1) )
| spl54_85 ),
inference(duplicate_literal_removal,[],[f12455]) ).
fof(f13265,plain,
( vd1306 = vd1300
| ~ rpoint(vd1306)
| vd1306 = vd1300
| ~ rpoint(vd1300)
| ~ rpoint(vd1306)
| ~ spl54_97 ),
inference(resolution,[],[f9736,f1030]) ).
fof(f13268,plain,
( vd1306 = vd1300
| ~ rpoint(vd1306)
| ~ rpoint(vd1300)
| ~ spl54_97 ),
inference(duplicate_literal_removal,[],[f13265]) ).
fof(f13269,plain,
( vd1306 = vd1300
| ~ rpoint(vd1300)
| ~ spl54_97 ),
inference(forward_subsumption_resolution,[],[f13268,f457]) ).
fof(f13272,plain,
( vd1306 = vd1300
| ~ spl54_97 ),
inference(forward_subsumption_resolution,[],[f13269,f526]) ).
fof(f13273,plain,
( spl54_87
| ~ spl54_97 ),
inference(avatar_split_clause,[],[f13272,f9651,f9612]) ).
fof(f13278,plain,
( rR(sK2,sK3,vd1306)
| ~ spl54_87 ),
inference(backward_demodulation,[],[f771,f9614]) ).
fof(f13690,plain,
( $false
| spl54_50
| ~ spl54_87 ),
inference(forward_subsumption_resolution,[],[f13278,f7442]) ).
fof(f13691,plain,
( spl54_50
| ~ spl54_87 ),
inference(avatar_contradiction_clause,[],[f13690]) ).
fof(f13816,plain,
( vangle(vd1306,vd1306,vd1300) = vangle(vd1300,vd1306,vd1306)
| ~ spl54_13
| spl54_16 ),
inference(backward_demodulation,[],[f2774,f1864]) ).
fof(f14090,plain,
( vangle(sK2,vd1300,vd1300) = vangle(vd1300,vd1306,sK2)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f752,f1864]) ).
fof(f14093,plain,
( sF52 = vangle(sK2,vd1300,vd1300)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f1568,f1864]) ).
fof(f14208,plain,
( $false
| ~ spl54_50
| ~ spl54_77 ),
inference(forward_subsumption_resolution,[],[f11276,f4770]) ).
fof(f14209,plain,
( ~ spl54_50
| ~ spl54_77 ),
inference(avatar_contradiction_clause,[],[f14208]) ).
fof(f14210,plain,
( $false
| ~ spl54_43
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f11284,f4770]) ).
fof(f14211,plain,
( ~ spl54_43
| ~ spl54_50 ),
inference(avatar_contradiction_clause,[],[f14210]) ).
fof(f14215,plain,
( ron(vd1300,vd1297)
| ~ rline(vd1297)
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f11818,f4770]) ).
fof(f14238,plain,
! [X0] :
( vd684 != vangle(vd1306,sK3,vd1300)
| ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f9474,f787]) ).
fof(f14260,definition,
( spl54_138
<=> vd684 = vangle(vd1306,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_138])],[avatar_definition]) ).
fof(f14261,plain,
( vd684 = vangle(vd1306,sK3,vd1300)
| ~ spl54_138 ),
inference(avatar_component_clause,[],[f14260]) ).
fof(f14262,plain,
( vd684 != vangle(vd1306,sK3,vd1300)
| spl54_138 ),
inference(avatar_component_clause,[],[f14260]) ).
fof(f14409,plain,
( $false
| ~ spl54_14
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3792,f1867]) ).
fof(f14410,plain,
( ~ spl54_14
| spl54_15 ),
inference(avatar_contradiction_clause,[],[f14409]) ).
fof(f14546,plain,
( sF52 = vangle(vd1300,vd1306,sK2)
| ~ spl54_13 ),
inference(backward_demodulation,[],[f14090,f14093]) ).
fof(f14610,plain,
( ~ rline(vd1297)
| ~ spl54_50
| spl54_51 ),
inference(forward_subsumption_resolution,[],[f14215,f4774]) ).
fof(f14633,plain,
! [X0] :
( vd684 != vangle(vd1306,sK3,vd1300)
| ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f14238,f779]) ).
fof(f14899,plain,
( $false
| ~ spl54_50
| spl54_51 ),
inference(forward_subsumption_resolution,[],[f14610,f498]) ).
fof(f14900,plain,
( ~ spl54_50
| spl54_51 ),
inference(avatar_contradiction_clause,[],[f14899]) ).
fof(f14912,plain,
! [X0] :
( vd684 != vangle(vd1306,sK3,vd1300)
| ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f14633,f457]) ).
fof(f15069,plain,
! [X0] :
( vd684 != vangle(vd1306,sK3,vd1300)
| ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f14912,f460]) ).
fof(f15210,plain,
! [X0] :
( vd684 != vangle(vd1306,sK3,vd1300)
| ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f15069,f458]) ).
fof(f15731,plain,
( sF52 = vangle(vd1300,vd1306,vd1306)
| ~ spl54_13
| ~ spl54_15 ),
inference(backward_demodulation,[],[f14546,f2012]) ).
fof(f15742,plain,
( sF53 = vangle(vd1306,vd1306,vd1300)
| ~ spl54_13
| ~ spl54_15
| ~ spl54_17 ),
inference(forward_demodulation,[],[f3411,f1864]) ).
fof(f15761,plain,
( ! [X0] :
( ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_138 ),
inference(forward_subsumption_resolution,[],[f15210,f14261]) ).
fof(f15857,plain,
( sF52 = vangle(vd1306,vd1306,vd1300)
| ~ spl54_13
| ~ spl54_15
| spl54_16 ),
inference(backward_demodulation,[],[f13816,f15731]) ).
fof(f16017,plain,
( sF52 = sF53
| ~ spl54_13
| ~ spl54_15
| spl54_16
| ~ spl54_17 ),
inference(backward_demodulation,[],[f15742,f15857]) ).
fof(f16113,plain,
( $false
| ~ spl54_13
| ~ spl54_15
| spl54_16
| ~ spl54_17 ),
inference(forward_subsumption_resolution,[],[f16017,f1571]) ).
fof(f16114,plain,
( ~ spl54_13
| ~ spl54_15
| spl54_16
| ~ spl54_17 ),
inference(avatar_contradiction_clause,[],[f16113]) ).
fof(f16626,plain,
( ~ spl54_49
| spl54_15
| spl54_16
| ~ spl54_30 ),
inference(avatar_split_clause,[],[f3914,f3282,f2014,f2010,f4677]) ).
fof(f16627,plain,
( spl54_50
| spl54_15
| spl54_16
| ~ spl54_30 ),
inference(avatar_split_clause,[],[f3913,f3282,f2014,f2010,f4768]) ).
fof(f16629,plain,
( spl54_50
| ~ spl54_22 ),
inference(avatar_split_clause,[],[f4163,f3247,f4768]) ).
fof(f16668,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| vd1306 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2) )
| spl54_75 ),
inference(forward_subsumption_resolution,[],[f11667,f779]) ).
fof(f16776,plain,
( ~ spl54_40
| spl54_18
| ~ spl54_41
| ~ spl54_48 ),
inference(avatar_split_clause,[],[f4458,f4251,f3342,f2024,f3338]) ).
fof(f16901,plain,
( vd684 = sF53
| ~ spl54_41
| ~ spl54_61 ),
inference(forward_demodulation,[],[f5855,f3856]) ).
fof(f16929,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rpoint(sK2) )
| spl54_15
| spl54_75 ),
inference(forward_subsumption_resolution,[],[f16668,f2011]) ).
fof(f17139,plain,
( $false
| spl54_23
| ~ spl54_41
| ~ spl54_61 ),
inference(forward_subsumption_resolution,[],[f16901,f3253]) ).
fof(f17140,plain,
( spl54_23
| ~ spl54_41
| ~ spl54_61 ),
inference(avatar_contradiction_clause,[],[f17139]) ).
fof(f17160,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1306)
| ~ rpoint(sK2) )
| spl54_15
| spl54_75 ),
inference(forward_subsumption_resolution,[],[f16929,f458]) ).
fof(f17384,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_15
| spl54_75 ),
inference(forward_subsumption_resolution,[],[f17160,f457]) ).
fof(f17621,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(vd1306,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_15
| spl54_75 ),
inference(forward_subsumption_resolution,[],[f17384,f460]) ).
fof(f17782,plain,
( ! [X0] :
( rR(sK2,vd1306,sK3)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_15
| spl54_75
| ~ spl54_138 ),
inference(forward_subsumption_resolution,[],[f17621,f15761]) ).
fof(f17875,definition,
( spl54_173
<=> rR(sK2,vd1306,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_173])],[avatar_definition]) ).
fof(f17876,plain,
( ~ rR(sK2,vd1306,sK3)
| spl54_173 ),
inference(avatar_component_clause,[],[f17875]) ).
fof(f17877,plain,
( rR(sK2,vd1306,sK3)
| ~ spl54_173 ),
inference(avatar_component_clause,[],[f17875]) ).
fof(f17884,plain,
( spl54_96
| spl54_173
| spl54_15
| spl54_75
| ~ spl54_138 ),
inference(avatar_split_clause,[],[f17782,f14260,f7558,f2010,f17875,f9648]) ).
fof(f17891,definition,
( spl54_174
<=> rR(sK1,sK3,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_174])],[avatar_definition]) ).
fof(f17892,plain,
( ~ rR(sK1,sK3,vd1300)
| spl54_174 ),
inference(avatar_component_clause,[],[f17891]) ).
fof(f17893,plain,
( rR(sK1,sK3,vd1300)
| ~ spl54_174 ),
inference(avatar_component_clause,[],[f17891]) ).
fof(f17916,plain,
( ~ rline(vd1297)
| ~ ron(vd1306,vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl54_42
| ~ spl54_58 ),
inference(forward_demodulation,[],[f10003,f3817]) ).
fof(f17931,plain,
( ~ ron(vd1306,vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl54_42
| ~ spl54_58 ),
inference(forward_subsumption_resolution,[],[f17916,f498]) ).
fof(f17932,plain,
( ~ ron(vd1306,vd1297)
| ~ ron(vd1300,vd1295)
| ~ spl54_42
| ~ spl54_58 ),
inference(forward_demodulation,[],[f17931,f3817]) ).
fof(f17933,plain,
( ~ ron(vd1300,vd1295)
| ~ spl54_42
| ~ spl54_58 ),
inference(forward_subsumption_resolution,[],[f17932,f524]) ).
fof(f17934,plain,
( ~ ron(vd1300,vd1297)
| ~ spl54_42
| ~ spl54_58 ),
inference(forward_demodulation,[],[f17933,f3817]) ).
fof(f17935,plain,
( $false
| ~ spl54_42
| ~ spl54_51
| ~ spl54_58 ),
inference(forward_subsumption_resolution,[],[f17934,f4773]) ).
fof(f17936,plain,
( ~ spl54_42
| ~ spl54_51
| ~ spl54_58 ),
inference(avatar_contradiction_clause,[],[f17935]) ).
fof(f18654,plain,
( ~ rR(sK2,vd1306,vd1300)
| ~ spl54_173 ),
inference(unit_resulting_resolution,[],[f1218,f457,f460,f458,f526,f771,f17877]) ).
fof(f18679,plain,
( $false
| ~ spl54_62
| ~ spl54_173 ),
inference(forward_subsumption_resolution,[],[f18654,f5759]) ).
fof(f18680,plain,
( ~ spl54_62
| ~ spl54_173 ),
inference(avatar_contradiction_clause,[],[f18679]) ).
fof(f18702,plain,
( ! [X0] :
( ~ rR(sK1,sK3,vd1300)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| vd1300 = sK1
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_75 ),
inference(forward_subsumption_resolution,[],[f7835,f7559]) ).
fof(f18708,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| vd1300 = sK1
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_75
| ~ spl54_174 ),
inference(forward_subsumption_resolution,[],[f18702,f17893]) ).
fof(f18714,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(forward_subsumption_resolution,[],[f18708,f1863]) ).
fof(f18720,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(forward_subsumption_resolution,[],[f18714,f778]) ).
fof(f18726,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(forward_subsumption_resolution,[],[f18720,f526]) ).
fof(f18732,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(forward_subsumption_resolution,[],[f18726,f458]) ).
fof(f18738,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(forward_subsumption_resolution,[],[f18732,f462]) ).
fof(f18744,plain,
( spl54_84
| spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(avatar_split_clause,[],[f18738,f17891,f7558,f1862,f7779]) ).
fof(f18948,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| vd1300 = sK3
| vd1300 = sK1
| sK1 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_174 ),
inference(resolution,[],[f17892,f996]) ).
fof(f18958,definition,
( spl54_176
<=> rR(vd1300,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_176])],[avatar_definition]) ).
fof(f18960,plain,
( rR(vd1300,sK1,sK3)
| ~ spl54_176 ),
inference(avatar_component_clause,[],[f18958]) ).
fof(f18964,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| vd1300 = sK1
| sK1 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18948,f785]) ).
fof(f18966,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| sK1 = sK3
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18964,f1863]) ).
fof(f18968,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18966,f778]) ).
fof(f18969,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| spl54_13
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18968,f526]) ).
fof(f18970,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18969,f458]) ).
fof(f18971,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(vd1300,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18970,f462]) ).
fof(f18972,plain,
( ! [X0] :
( rR(sK3,sK1,vd1300)
| rR(vd1300,sK1,sK3)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13
| ~ spl54_74
| spl54_174 ),
inference(forward_subsumption_resolution,[],[f18971,f7556]) ).
fof(f18974,definition,
( spl54_177
<=> rR(sK3,sK1,vd1300) ),
introduced(definition,[new_symbols(definition,[spl54_177])],[avatar_definition]) ).
fof(f18976,plain,
( rR(sK3,sK1,vd1300)
| ~ spl54_177 ),
inference(avatar_component_clause,[],[f18974]) ).
fof(f18977,plain,
( spl54_84
| spl54_176
| spl54_177
| spl54_13
| ~ spl54_74
| spl54_174 ),
inference(avatar_split_clause,[],[f18972,f17891,f7555,f1862,f18974,f18958,f7779]) ).
fof(f19043,plain,
( ~ rline(vd1297)
| ~ ron(sK1,vd1297)
| ~ spl54_84 ),
inference(resolution,[],[f7780,f782]) ).
fof(f19051,plain,
( ~ ron(sK1,vd1297)
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f19043,f498]) ).
fof(f19060,plain,
( $false
| ~ spl54_84 ),
inference(forward_subsumption_resolution,[],[f19051,f780]) ).
fof(f19061,plain,
~ spl54_84,
inference(avatar_contradiction_clause,[],[f19060]) ).
fof(f19080,plain,
( rR(sK3,vd1300,sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_177 ),
inference(resolution,[],[f18976,f911]) ).
fof(f19087,plain,
( ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| spl54_40
| ~ spl54_177 ),
inference(forward_subsumption_resolution,[],[f19080,f5146]) ).
fof(f19099,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| spl54_40
| ~ spl54_177 ),
inference(forward_subsumption_resolution,[],[f19087,f526]) ).
fof(f19105,plain,
( ~ rpoint(sK1)
| spl54_40
| ~ spl54_177 ),
inference(forward_subsumption_resolution,[],[f19099,f458]) ).
fof(f19107,plain,
( $false
| spl54_40
| ~ spl54_177 ),
inference(forward_subsumption_resolution,[],[f19105,f462]) ).
fof(f19108,plain,
( spl54_40
| ~ spl54_177 ),
inference(avatar_contradiction_clause,[],[f19107]) ).
fof(f19109,plain,
( rR(sK1,sK2,sK3)
| ~ spl54_24
| ~ spl54_176 ),
inference(unit_resulting_resolution,[],[f893,f460,f462,f526,f458,f3257,f18960]) ).
fof(f19223,plain,
( ~ rR(sK1,sK2,sK3)
| ~ spl54_33
| spl54_173 ),
inference(unit_resulting_resolution,[],[f893,f457,f460,f462,f458,f17876,f3305]) ).
fof(f19247,plain,
( $false
| ~ spl54_24
| ~ spl54_33
| spl54_173
| ~ spl54_176 ),
inference(forward_subsumption_resolution,[],[f19223,f19109]) ).
fof(f19248,plain,
( ~ spl54_24
| ~ spl54_33
| spl54_173
| ~ spl54_176 ),
inference(avatar_contradiction_clause,[],[f19247]) ).
fof(f19269,plain,
( ! [X0,X1] :
( rR(sK3,sK1,vd1306)
| rR(sK3,sK1,sK2)
| sK1 = sK3
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1) )
| spl54_85
| spl54_138 ),
inference(forward_subsumption_resolution,[],[f12479,f14262]) ).
fof(f19298,plain,
( ! [X0,X1] :
( rR(sK3,sK1,sK2)
| sK1 = sK3
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1) )
| spl54_85
| spl54_138 ),
inference(forward_subsumption_resolution,[],[f19269,f765]) ).
fof(f19327,plain,
( ! [X0,X1] :
( sK1 = sK3
| ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1) )
| ~ spl54_22
| spl54_85
| spl54_138 ),
inference(forward_subsumption_resolution,[],[f19298,f3874]) ).
fof(f19345,plain,
( ! [X0,X1] :
( ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK1) )
| ~ spl54_22
| spl54_85
| spl54_138 ),
inference(forward_subsumption_resolution,[],[f19327,f778]) ).
fof(f19364,plain,
( ! [X0,X1] :
( ~ ron(vd1306,X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X1)
| ~ ron(sK1,X1)
| ~ ron(sK3,X1)
| ~ rline(X0)
| ~ rline(X1) )
| ~ spl54_22
| spl54_85
| spl54_138 ),
inference(forward_subsumption_resolution,[],[f19345,f462]) ).
fof(f19381,plain,
( spl54_77
| spl54_45
| ~ spl54_22
| spl54_85
| spl54_138 ),
inference(avatar_split_clause,[],[f19364,f14260,f8039,f3247,f3986,f7572]) ).
fof(f19424,plain,
( $false
| ~ spl54_22
| ~ spl54_44 ),
inference(forward_subsumption_resolution,[],[f4796,f3871]) ).
fof(f19425,plain,
( ~ spl54_22
| ~ spl54_44 ),
inference(avatar_contradiction_clause,[],[f19424]) ).
fof(f19519,plain,
( ~ ron(sK1,vd1297)
| spl54_13
| spl54_18
| spl54_24
| spl54_29
| spl54_40
| ~ spl54_42
| ~ spl54_48 ),
inference(forward_demodulation,[],[f6692,f3817]) ).
fof(f19573,plain,
( $false
| spl54_13
| spl54_18
| spl54_24
| spl54_29
| spl54_40
| ~ spl54_42
| ~ spl54_48 ),
inference(forward_subsumption_resolution,[],[f19519,f780]) ).
fof(f19574,plain,
( spl54_13
| spl54_18
| spl54_24
| spl54_29
| spl54_40
| ~ spl54_42
| ~ spl54_48 ),
inference(avatar_contradiction_clause,[],[f19573]) ).
fof(f19667,plain,
( $false
| spl54_15
| spl54_16
| spl54_22
| spl54_44
| spl54_49
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f10067,f4770]) ).
fof(f19668,plain,
( spl54_15
| spl54_16
| spl54_22
| spl54_44
| spl54_49
| ~ spl54_50 ),
inference(avatar_contradiction_clause,[],[f19667]) ).
cnf(s14,plain,
( spl54_13
| ~ spl54_14 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s23,plain,
( spl54_16
| spl54_17 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s25,plain,
( spl54_18
| spl54_19 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s28,plain,
( ~ spl54_13
| spl54_14 ),
inference(sat_conversion,[],[f2249]) ).
cnf(s35,plain,
~ spl54_18,
inference(sat_conversion,[],[f2336]) ).
cnf(s38,plain,
( ~ spl54_16
| spl54_18 ),
inference(sat_conversion,[],[f2570]) ).
cnf(s71,plain,
( spl54_13
| spl54_24
| spl54_25
| spl54_27 ),
inference(sat_conversion,[],[f3294]) ).
cnf(s74,plain,
( spl54_15
| spl54_21
| ~ spl54_22
| ~ spl54_23 ),
inference(sat_conversion,[],[f3300]) ).
cnf(s75,plain,
( spl54_15
| spl54_22
| spl54_23
| spl54_26 ),
inference(sat_conversion,[],[f3301]) ).
cnf(s83,plain,
( spl54_13
| ~ spl54_19
| spl54_25
| spl54_27
| spl54_36 ),
inference(sat_conversion,[],[f3329]) ).
cnf(s86,plain,
( spl54_13
| spl54_18
| spl54_28
| ~ spl54_29
| ~ spl54_30 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s87,plain,
( spl54_13
| spl54_18
| spl54_27
| spl54_29
| spl54_30 ),
inference(sat_conversion,[],[f3336]) ).
cnf(s91,plain,
( spl54_18
| spl54_27
| spl54_40
| spl54_41 ),
inference(sat_conversion,[],[f3348]) ).
cnf(s92,plain,
( spl54_14
| ~ spl54_15 ),
inference(sat_conversion,[],[f3462]) ).
cnf(s94,plain,
( spl54_42
| spl54_43 ),
inference(sat_conversion,[],[f3821]) ).
cnf(s95,plain,
( ~ spl54_27
| ~ spl54_42 ),
inference(sat_conversion,[],[f3831]) ).
cnf(s96,plain,
( ~ spl54_26
| ~ spl54_42 ),
inference(sat_conversion,[],[f3836]) ).
cnf(s97,plain,
( spl54_16
| spl54_26
| spl54_41
| spl54_44 ),
inference(sat_conversion,[],[f3851]) ).
cnf(s101,plain,
( ~ spl54_24
| ~ spl54_40 ),
inference(sat_conversion,[],[f3911]) ).
cnf(s103,plain,
( spl54_16
| ~ spl54_41
| ~ spl54_44
| spl54_45 ),
inference(sat_conversion,[],[f3988]) ).
cnf(s109,plain,
( ~ spl54_33
| spl54_34 ),
inference(sat_conversion,[],[f4240]) ).
cnf(s111,plain,
( ~ spl54_27
| ~ spl54_46 ),
inference(sat_conversion,[],[f4256]) ).
cnf(s112,plain,
spl54_48,
inference(sat_conversion,[],[f4257]) ).
cnf(s137,plain,
( ~ spl54_22
| spl54_33 ),
inference(sat_conversion,[],[f4398]) ).
cnf(s144,plain,
( spl54_42
| ~ spl54_46
| ~ spl54_48 ),
inference(sat_conversion,[],[f4537]) ).
cnf(s149,plain,
( spl54_18
| ~ spl54_41
| spl54_46
| ~ spl54_48 ),
inference(sat_conversion,[],[f4560]) ).
cnf(s154,plain,
( ~ spl54_33
| ~ spl54_49 ),
inference(sat_conversion,[],[f4710]) ).
cnf(s159,plain,
~ spl54_45,
inference(sat_conversion,[],[f4725]) ).
cnf(s160,plain,
( ~ spl54_23
| ~ spl54_25 ),
inference(sat_conversion,[],[f4732]) ).
cnf(s163,plain,
( ~ spl54_29
| ~ spl54_36 ),
inference(sat_conversion,[],[f4736]) ).
cnf(s167,plain,
( ~ spl54_33
| ~ spl54_35
| spl54_45 ),
inference(sat_conversion,[],[f4756]) ).
cnf(s175,plain,
( ~ spl54_28
| ~ spl54_51 ),
inference(sat_conversion,[],[f4780]) ).
cnf(s176,plain,
( ~ spl54_44
| spl54_50 ),
inference(sat_conversion,[],[f4808]) ).
cnf(s197,plain,
( ~ spl54_26
| ~ spl54_50 ),
inference(sat_conversion,[],[f4919]) ).
cnf(s200,plain,
( ~ spl54_43
| ~ spl54_47 ),
inference(sat_conversion,[],[f4992]) ).
cnf(s202,plain,
~ spl54_21,
inference(sat_conversion,[],[f5447]) ).
cnf(s204,plain,
( spl54_15
| spl54_16
| spl54_30
| ~ spl54_34
| spl54_35
| spl54_49 ),
inference(sat_conversion,[],[f5520]) ).
cnf(s235,plain,
( spl54_15
| ~ spl54_17
| spl54_18
| spl54_58
| spl54_59
| spl54_61
| spl54_62 ),
inference(sat_conversion,[],[f5762]) ).
cnf(s239,plain,
~ spl54_59,
inference(sat_conversion,[],[f5778]) ).
cnf(s252,plain,
( spl54_13
| spl54_74
| ~ spl54_75 ),
inference(sat_conversion,[],[f7561]) ).
cnf(s276,plain,
~ spl54_85,
inference(sat_conversion,[],[f8432]) ).
cnf(s283,plain,
( spl54_46
| ~ spl54_48
| spl54_89
| spl54_96
| spl54_97 ),
inference(sat_conversion,[],[f9654]) ).
cnf(s284,plain,
( spl54_47
| ~ spl54_48
| ~ spl54_89 ),
inference(sat_conversion,[],[f9682]) ).
cnf(s294,plain,
( ~ spl54_48
| ~ spl54_96 ),
inference(sat_conversion,[],[f9727]) ).
cnf(s372,plain,
( spl54_87
| ~ spl54_97 ),
inference(sat_conversion,[],[f13273]) ).
cnf(s381,plain,
( spl54_50
| ~ spl54_87 ),
inference(sat_conversion,[],[f13691]) ).
cnf(s408,plain,
( ~ spl54_50
| ~ spl54_77 ),
inference(sat_conversion,[],[f14209]) ).
cnf(s409,plain,
( ~ spl54_43
| ~ spl54_50 ),
inference(sat_conversion,[],[f14211]) ).
cnf(s423,plain,
( ~ spl54_14
| spl54_15 ),
inference(sat_conversion,[],[f14410]) ).
cnf(s482,plain,
( ~ spl54_50
| spl54_51 ),
inference(sat_conversion,[],[f14900]) ).
cnf(s547,plain,
( ~ spl54_13
| ~ spl54_15
| spl54_16
| ~ spl54_17 ),
inference(sat_conversion,[],[f16114]) ).
cnf(s575,plain,
( spl54_15
| spl54_16
| ~ spl54_30
| ~ spl54_49 ),
inference(sat_conversion,[],[f16626]) ).
cnf(s576,plain,
( spl54_15
| spl54_16
| ~ spl54_30
| spl54_50 ),
inference(sat_conversion,[],[f16627]) ).
cnf(s578,plain,
( ~ spl54_22
| spl54_50 ),
inference(sat_conversion,[],[f16629]) ).
cnf(s583,plain,
( spl54_18
| ~ spl54_40
| ~ spl54_41
| ~ spl54_48 ),
inference(sat_conversion,[],[f16776]) ).
cnf(s587,plain,
( spl54_23
| ~ spl54_41
| ~ spl54_61 ),
inference(sat_conversion,[],[f17140]) ).
cnf(s605,plain,
( spl54_15
| spl54_75
| spl54_96
| ~ spl54_138
| spl54_173 ),
inference(sat_conversion,[],[f17884]) ).
cnf(s637,plain,
( ~ spl54_42
| ~ spl54_51
| ~ spl54_58 ),
inference(sat_conversion,[],[f17936]) ).
cnf(s653,plain,
( ~ spl54_62
| ~ spl54_173 ),
inference(sat_conversion,[],[f18680]) ).
cnf(s656,plain,
( spl54_13
| ~ spl54_75
| spl54_84
| ~ spl54_174 ),
inference(sat_conversion,[],[f18744]) ).
cnf(s666,plain,
( spl54_13
| ~ spl54_74
| spl54_84
| spl54_174
| spl54_176
| spl54_177 ),
inference(sat_conversion,[],[f18977]) ).
cnf(s671,plain,
~ spl54_84,
inference(sat_conversion,[],[f19061]) ).
cnf(s675,plain,
( spl54_40
| ~ spl54_177 ),
inference(sat_conversion,[],[f19108]) ).
cnf(s677,plain,
( ~ spl54_24
| ~ spl54_33
| spl54_173
| ~ spl54_176 ),
inference(sat_conversion,[],[f19248]) ).
cnf(s689,plain,
( ~ spl54_22
| spl54_45
| spl54_77
| spl54_85
| spl54_138 ),
inference(sat_conversion,[],[f19381]) ).
cnf(s707,plain,
( ~ spl54_22
| ~ spl54_44 ),
inference(sat_conversion,[],[f19425]) ).
cnf(s728,plain,
( spl54_13
| spl54_18
| spl54_24
| spl54_29
| spl54_40
| ~ spl54_42
| ~ spl54_48 ),
inference(sat_conversion,[],[f19574]) ).
cnf(s747,plain,
( spl54_15
| spl54_16
| spl54_22
| spl54_44
| spl54_49
| ~ spl54_50 ),
inference(sat_conversion,[],[f19668]) ).
cnf(s761,plain,
( spl54_13
| ~ spl54_74
| spl54_174
| spl54_176
| spl54_177 ),
inference(rat,[],[s666,s671]) ).
cnf(s763,plain,
( spl54_13
| ~ spl54_75
| ~ spl54_174 ),
inference(rat,[],[s656,s671]) ).
cnf(s770,plain,
( spl54_15
| ~ spl54_17
| spl54_18
| spl54_58
| spl54_61
| spl54_62 ),
inference(rat,[],[s235,s239]) ).
cnf(s782,plain,
~ spl54_96,
inference(rat,[],[s294,s112]) ).
cnf(s785,plain,
( spl54_16
| ~ spl54_41
| ~ spl54_44 ),
inference(rat,[],[s103,s159]) ).
cnf(s786,plain,
( spl54_15
| ~ spl54_22
| ~ spl54_23 ),
inference(rat,[],[s74,s202]) ).
cnf(s790,plain,
~ spl54_16,
inference(rat,[],[s38,s35]) ).
cnf(s791,plain,
spl54_19,
inference(rat,[],[s25,s35]) ).
cnf(s793,plain,
spl54_17,
inference(rat,[],[s23,s790]) ).
cnf(s800,plain,
~ spl54_26,
inference(rat,[],[s284,s200,s283,s372,s94,s144,s381,s96,s197,s112,s782]) ).
cnf(s801,plain,
~ spl54_27,
inference(rat,[],[s176,s409,s97,s94,s149,s95,s111,s790,s800,s35,s112]) ).
cnf(s802,plain,
( spl54_22
| spl54_13 ),
inference(rat,[],[s747,s785,s575,s576,s91,s87,s101,s163,s71,s83,s160,s75,s92,s14,s790,s35,s801,s791,s800]) ).
cnf(s803,plain,
spl54_13,
inference(rat,[],[s761,s252,s763,s605,s677,s653,s770,s728,s637,s86,s675,s204,s689,s94,s175,s583,s587,s109,s154,s167,s408,s409,s482,s97,s786,s137,s578,s707,s802,s92,s14,s782,s35,s793,s112,s790,s159,s276,s800]) ).
cnf(s804,plain,
~ spl54_15,
inference(rat,[],[s547,s793,s790,s803]) ).
cnf(s807,plain,
spl54_14,
inference(rat,[],[s28,s803]) ).
cnf(s808,plain,
$false,
inference(rat,[],[s423,s804,s807]) ).
fof(f19720,plain,
$false,
inference(avatar_sat_refutation,[],[s808]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO315+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:04:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 11.87/2.53 % (624327)Detected formulas, will run a generic FOF schedule.
% 11.87/2.53 % (624337)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2596134423:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.87/2.53 % (624336)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2053142006:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.87/2.53 % (624333)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=912651206:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.87/2.53 % (624332)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=3123687690:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.87/2.53 % (624335)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2660023153:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.87/2.53 % (624334)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=3992758730:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.87/2.53 % (624337)Instruction limit reached!
% 11.87/2.53 % (624337)------------------------------
% 11.87/2.53 % (624337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.53 % (624337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.53 % (624337)CaDiCaL version: 2.1.3
% 11.87/2.53 % (624337)Termination reason: Instruction limit
% 11.87/2.53 % (624337)Termination phase: Saturation
% 11.87/2.53 % (624337)Time elapsed: 0.047 s
% 11.87/2.53 % (624337)Peak memory usage: 90 MB
% 11.87/2.53 % (624337)Instructions burned: 140 (million)
% 11.87/2.53 % (624338)dis-21_1_sil=8000:lcm=predicate:random_seed=437951942: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)
% 11.87/2.53 % (624335)Instruction limit reached!
% 11.87/2.53 % (624335)------------------------------
% 11.87/2.53 % (624335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.53 % (624335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.53 % (624335)CaDiCaL version: 2.1.3
% 11.87/2.53 % (624335)Termination reason: Instruction limit
% 11.87/2.53 % (624335)Termination phase: Saturation
% 11.87/2.53 % (624335)Time elapsed: 0.056 s
% 11.87/2.53 % (624335)Peak memory usage: 89 MB
% 11.87/2.53 % (624335)Instructions burned: 110 (million)
% 11.87/2.53 % (624336)Instruction limit reached!
% 11.87/2.53 % (624336)------------------------------
% 11.87/2.53 % (624336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.53 % (624336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.53 % (624336)CaDiCaL version: 2.1.3
% 11.87/2.53 % (624336)Termination reason: Instruction limit
% 11.87/2.53 % (624336)Termination phase: Saturation
% 11.87/2.53 % (624336)Time elapsed: 0.063 s
% 11.87/2.53 % (624336)Peak memory usage: 89 MB
% 11.87/2.53 % (624336)Instructions burned: 121 (million)
% 11.87/2.53 % (624338)Instruction limit reached!
% 11.87/2.53 % (624338)------------------------------
% 11.87/2.53 % (624338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.53 % (624338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.53 % (624338)CaDiCaL version: 2.1.3
% 11.87/2.53 % (624338)Termination reason: Instruction limit
% 11.87/2.53 % (624338)Termination phase: Saturation
% 11.87/2.53 % (624338)Time elapsed: 0.071 s
% 11.87/2.53 % (624338)Peak memory usage: 90 MB
% 11.87/2.53 % (624338)Instructions burned: 130 (million)
% 11.87/2.53 % (624345)lrs+10_1_sil=8000:sp=occurrence:random_seed=3727619872:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.87/2.53 % (624345)Instruction limit reached!
% 11.87/2.53 % (624345)------------------------------
% 11.87/2.53 % (624345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.87/2.53 % (624345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.87/2.53 % (624345)CaDiCaL version: 2.1.3
% 11.87/2.53 % (624345)Termination reason: Instruction limit
% 11.87/2.53 % (624345)Termination phase: Saturation
% 11.87/2.53 % (624345)Time elapsed: 0.077 s
% 11.87/2.53 % (624345)Peak memory usage: 92 MB
% 11.87/2.53 % (624345)Instructions burned: 285 (million)
% 11.87/2.53 % (624347)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1705954968:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.24/3.60 % (624348)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2386027054:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 19.24/3.60 % (624349)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=1152214091:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 19.24/3.60 % (624351)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2930569644:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 19.24/3.60 % (624351)Refutation not found, incomplete strategy
% 19.24/3.60 % (624351)------------------------------
% 19.24/3.60 % (624351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/3.60 % (624351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.60 % (624351)CaDiCaL version: 2.1.3
% 19.24/3.60 % (624351)Termination reason: Refutation not found, incomplete strategy
% 19.24/3.60 % (624351)Time elapsed: 0.011 s
% 19.24/3.60 % (624351)Peak memory usage: 89 MB
% 19.24/3.60 % (624351)Instructions burned: 40 (million)
% 19.24/3.60 % (624347)Instruction limit reached!
% 19.24/3.60 % (624347)------------------------------
% 19.24/3.60 % (624347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/3.60 % (624347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.60 % (624347)CaDiCaL version: 2.1.3
% 19.24/3.60 % (624347)Termination reason: Instruction limit
% 19.24/3.60 % (624347)Termination phase: Saturation
% 19.24/3.60 % (624347)Time elapsed: 0.074 s
% 19.24/3.60 % (624347)Peak memory usage: 90 MB
% 19.24/3.60 % (624347)Instructions burned: 158 (million)
% 19.24/3.60 % (624349)Instruction limit reached!
% 19.24/3.60 % (624349)------------------------------
% 19.24/3.60 % (624349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/3.60 % (624349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.60 % (624349)CaDiCaL version: 2.1.3
% 19.24/3.60 % (624349)Termination reason: Instruction limit
% 19.24/3.60 % (624349)Termination phase: Saturation
% 19.24/3.60 % (624349)Time elapsed: 0.121 s
% 19.24/3.60 % (624349)Peak memory usage: 90 MB
% 19.24/3.60 % (624349)Instructions burned: 248 (million)
% 19.24/3.60 % (624348)Instruction limit reached!
% 19.24/3.60 % (624348)------------------------------
% 19.24/3.60 % (624348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/3.60 % (624348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.60 % (624348)CaDiCaL version: 2.1.3
% 19.24/3.60 % (624348)Termination reason: Instruction limit
% 19.24/3.60 % (624348)Termination phase: Saturation
% 19.24/3.60 % (624348)Time elapsed: 0.174 s
% 19.24/3.60 % (624348)Peak memory usage: 91 MB
% 19.24/3.60 % (624348)Instructions burned: 325 (million)
% 19.24/3.60 % (624356)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1877425199:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 19.24/3.60 % (624351)------------------------------
% 19.24/3.60 % (624351)------------------------------
% 19.24/3.60 % (624357)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2690590571:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 19.24/3.60 % (624360)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=69240000:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 19.24/3.60 % (624358)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1064676384:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 19.24/3.60 % (624360)Instruction limit reached!
% 19.24/3.60 % (624360)------------------------------
% 19.24/3.60 % (624360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/3.60 % (624360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.60 % (624360)CaDiCaL version: 2.1.3
% 19.24/3.60 % (624360)Termination reason: Instruction limit
% 19.24/3.60 % (624360)Termination phase: Saturation
% 19.24/3.60 % (624360)Time elapsed: 0.025 s
% 19.24/3.60 % (624360)Peak memory usage: 89 MB
% 19.24/3.60 % (624360)Instructions burned: 119 (million)
% 19.24/3.60 % (624358)Refutation not found, incomplete strategy
% 19.24/3.60 % (624358)------------------------------
% 19.24/3.60 % (624358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/3.60 % (624358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.04/5.99 % (624358)CaDiCaL version: 2.1.3
% 36.04/5.99 % (624358)Termination reason: Refutation not found, incomplete strategy
% 36.04/5.99 % (624358)Time elapsed: 0.026 s
% 36.04/5.99 % (624358)Peak memory usage: 89 MB
% 36.04/5.99 % (624358)Instructions burned: 53 (million)
% 36.04/5.99 % (624357)Instruction limit reached!
% 36.04/5.99 % (624357)------------------------------
% 36.04/5.99 % (624357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.04/5.99 % (624357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.04/5.99 % (624357)CaDiCaL version: 2.1.3
% 36.04/5.99 % (624357)Termination reason: Instruction limit
% 36.04/5.99 % (624357)Termination phase: Saturation
% 36.04/5.99 % (624357)Time elapsed: 0.060 s
% 36.04/5.99 % (624357)Peak memory usage: 90 MB
% 36.04/5.99 % (624357)Instructions burned: 114 (million)
% 36.04/5.99 % (624364)lrs+10_1_sil=8000:sp=occurrence:random_seed=277168548:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 36.04/5.99 % (624365)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4227077605:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 36.04/5.99 % (624365)Refutation not found, incomplete strategy
% 36.04/5.99 % (624365)------------------------------
% 36.04/5.99 % (624365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.04/5.99 % (624365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.04/5.99 % (624365)CaDiCaL version: 2.1.3
% 36.04/5.99 % (624365)Termination reason: Refutation not found, incomplete strategy
% 36.04/5.99 % (624365)Time elapsed: 0.018 s
% 36.04/5.99 % (624365)Peak memory usage: 89 MB
% 36.04/5.99 % (624365)Instructions burned: 32 (million)
% 36.04/5.99 % (624358)------------------------------
% 36.04/5.99 % (624358)------------------------------
% 36.04/5.99 % (624364)Instruction limit reached!
% 36.04/5.99 % (624364)------------------------------
% 36.04/5.99 % (624364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.04/5.99 % (624364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.04/5.99 % (624364)CaDiCaL version: 2.1.3
% 36.04/5.99 % (624364)Termination reason: Instruction limit
% 36.04/5.99 % (624364)Termination phase: Saturation
% 36.04/5.99 % (624364)Time elapsed: 0.229 s
% 36.04/5.99 % (624364)Peak memory usage: 95 MB
% 36.04/5.99 % (624364)Instructions burned: 908 (million)
% 36.04/5.99 % (624368)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3242380143:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 36.04/5.99 % (624369)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4256336589:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 36.04/5.99 % (624365)------------------------------
% 36.04/5.99 % (624365)------------------------------
% 36.04/5.99 % (624369)Instruction limit reached!
% 36.04/5.99 % (624369)------------------------------
% 36.04/5.99 % (624369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.04/5.99 % (624369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.04/5.99 % (624369)CaDiCaL version: 2.1.3
% 36.04/5.99 % (624369)Termination reason: Instruction limit
% 36.04/5.99 % (624369)Termination phase: Saturation
% 36.04/5.99 % (624369)Time elapsed: 0.036 s
% 36.04/5.99 % (624369)Peak memory usage: 93 MB
% 36.04/5.99 % (624369)Instructions burned: 136 (million)
% 36.04/5.99 % (624373)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=743952903:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 36.04/5.99 % (624372)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4212556114:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 36.04/5.99 % (624372)Instruction limit reached!
% 36.04/5.99 % (624372)------------------------------
% 36.04/5.99 % (624372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.04/5.99 % (624372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.04/5.99 % (624372)CaDiCaL version: 2.1.3
% 36.04/5.99 % (624372)Termination reason: Instruction limit
% 36.04/5.99 % (624372)Termination phase: Saturation
% 36.04/5.99 % (624372)Time elapsed: 0.303 s
% 36.04/5.99 % (624372)Peak memory usage: 93 MB
% 36.04/5.99 % (624372)Instructions burned: 593 (million)
% 36.04/5.99 % (624376)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=194691448:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 40.65/6.64 % (624376)Refutation not found, incomplete strategy
% 40.65/6.64 % (624376)------------------------------
% 40.65/6.64 % (624376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624376)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624376)Termination reason: Refutation not found, incomplete strategy
% 40.65/6.64 % (624376)Time elapsed: 0.020 s
% 40.65/6.64 % (624376)Peak memory usage: 89 MB
% 40.65/6.64 % (624376)Instructions burned: 38 (million)
% 40.65/6.64 % (624376)------------------------------
% 40.65/6.64 % (624376)------------------------------
% 40.65/6.64 % (624356)Instruction limit reached!
% 40.65/6.64 % (624356)------------------------------
% 40.65/6.64 % (624356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624356)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624356)Termination reason: Instruction limit
% 40.65/6.64 % (624356)Termination phase: Saturation
% 40.65/6.64 % (624356)Time elapsed: 1.472 s
% 40.65/6.64 % (624356)Peak memory usage: 141 MB
% 40.65/6.64 % (624356)Instructions burned: 2351 (million)
% 40.65/6.64 % (624379)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=94837231:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 40.65/6.64 % (624379)Instruction limit reached!
% 40.65/6.64 % (624379)------------------------------
% 40.65/6.64 % (624379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624379)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624379)Termination reason: Instruction limit
% 40.65/6.64 % (624379)Termination phase: Saturation
% 40.65/6.64 % (624379)Time elapsed: 0.076 s
% 40.65/6.64 % (624379)Peak memory usage: 91 MB
% 40.65/6.64 % (624379)Instructions burned: 134 (million)
% 40.65/6.64 % (624380)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1034133296:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 40.65/6.64 % (624380)Refutation not found, incomplete strategy
% 40.65/6.64 % (624380)------------------------------
% 40.65/6.64 % (624380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624380)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624380)Termination reason: Refutation not found, incomplete strategy
% 40.65/6.64 % (624380)Time elapsed: 0.013 s
% 40.65/6.64 % (624380)Peak memory usage: 89 MB
% 40.65/6.64 % (624380)Instructions burned: 26 (million)
% 40.65/6.64 % (624382)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2628420276:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 40.65/6.64 % (624382)Refutation not found, incomplete strategy
% 40.65/6.64 % (624382)------------------------------
% 40.65/6.64 % (624382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624382)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624382)Termination reason: Refutation not found, incomplete strategy
% 40.65/6.64 % (624382)Time elapsed: 0.007 s
% 40.65/6.64 % (624382)Peak memory usage: 88 MB
% 40.65/6.64 % (624382)Instructions burned: 11 (million)
% 40.65/6.64 % (624380)------------------------------
% 40.65/6.64 % (624380)------------------------------
% 40.65/6.64 % (624382)------------------------------
% 40.65/6.64 % (624382)------------------------------
% 40.65/6.64 % (624385)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=3317290323:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 40.65/6.64 % (624387)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=1752901616:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 40.65/6.64 % (624387)Instruction limit reached!
% 40.65/6.64 % (624387)------------------------------
% 40.65/6.64 % (624387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624387)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624387)Termination reason: Instruction limit
% 40.65/6.64 % (624387)Termination phase: Saturation
% 40.65/6.64 % (624387)Time elapsed: 0.076 s
% 40.65/6.64 % (624387)Peak memory usage: 92 MB
% 40.65/6.64 % (624387)Instructions burned: 153 (million)
% 40.65/6.64 % (624389)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2449410638:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 40.65/6.64 % (624368)Instruction limit reached!
% 40.65/6.64 % (624368)------------------------------
% 40.65/6.64 % (624368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624368)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624368)Termination reason: Instruction limit
% 40.65/6.64 % (624368)Termination phase: Saturation
% 40.65/6.64 % (624368)Time elapsed: 2.709 s
% 40.65/6.64 % (624368)Peak memory usage: 143 MB
% 40.65/6.64 % (624368)Instructions burned: 5202 (million)
% 40.65/6.64 % (624391)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1526740413:i=667:av=off:fsr=off_2962 on theBenchmark for (2962ds/667Mi)
% 40.65/6.64 % (624391)Refutation not found, incomplete strategy
% 40.65/6.64 % (624391)------------------------------
% 40.65/6.64 % (624391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624391)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624391)Termination reason: Refutation not found, incomplete strategy
% 40.65/6.64 % (624391)Time elapsed: 0.022 s
% 40.65/6.64 % (624391)Peak memory usage: 89 MB
% 40.65/6.64 % (624391)Instructions burned: 44 (million)
% 40.65/6.64 % (624391)------------------------------
% 40.65/6.64 % (624391)------------------------------
% 40.65/6.64 % (624393)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=133679762:s2a=on:i=185:s2at=1.8:fdi=4_2958 on theBenchmark for (2958ds/185Mi)
% 40.65/6.64 % (624393)Instruction limit reached!
% 40.65/6.64 % (624393)------------------------------
% 40.65/6.64 % (624393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624393)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624393)Termination reason: Instruction limit
% 40.65/6.64 % (624393)Termination phase: Saturation
% 40.65/6.64 % (624393)Time elapsed: 0.094 s
% 40.65/6.64 % (624393)Peak memory usage: 93 MB
% 40.65/6.64 % (624393)Instructions burned: 185 (million)
% 40.65/6.64 % (624395)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4184901149:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2956 on theBenchmark for (2956ds/193Mi)
% 40.65/6.64 % (624395)Instruction limit reached!
% 40.65/6.64 % (624395)------------------------------
% 40.65/6.64 % (624395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624395)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624395)Termination reason: Instruction limit
% 40.65/6.64 % (624395)Termination phase: Saturation
% 40.65/6.64 % (624395)Time elapsed: 0.104 s
% 40.65/6.64 % (624395)Peak memory usage: 91 MB
% 40.65/6.64 % (624395)Instructions burned: 194 (million)
% 40.65/6.64 % (624397)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3258692811:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2953 on theBenchmark for (2953ds/4850Mi)
% 40.65/6.64 % (624397)Refutation not found, incomplete strategy
% 40.65/6.64 % (624397)------------------------------
% 40.65/6.64 % (624397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624397)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624397)Termination reason: Refutation not found, incomplete strategy
% 40.65/6.64 % (624397)Time elapsed: 0.017 s
% 40.65/6.64 % (624397)Peak memory usage: 89 MB
% 40.65/6.64 % (624397)Instructions burned: 32 (million)
% 40.65/6.64 % (624397)------------------------------
% 40.65/6.64 % (624397)------------------------------
% 40.65/6.64 % (624399)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=782372159:i=12111:sd=1:ss=included_2949 on theBenchmark for (2949ds/12111Mi)
% 40.65/6.64 % (624373)Instruction limit reached!
% 40.65/6.64 % (624373)------------------------------
% 40.65/6.64 % (624373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624373)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624373)Termination reason: Instruction limit
% 40.65/6.64 % (624373)Termination phase: Saturation
% 40.65/6.64 % (624373)Time elapsed: 3.957 s
% 40.65/6.64 % (624373)Peak memory usage: 171 MB
% 40.65/6.64 % (624373)Instructions burned: 13197 (million)
% 40.65/6.64 % (624401)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2503609513:i=319:kws=precedence:fsr=off_2948 on theBenchmark for (2948ds/319Mi)
% 40.65/6.64 % (624401)Instruction limit reached!
% 40.65/6.64 % (624401)------------------------------
% 40.65/6.64 % (624401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.65/6.64 % (624401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.65/6.64 % (624401)CaDiCaL version: 2.1.3
% 40.65/6.64 % (624401)Termination reason: Instruction limit
% 40.65/6.64 % (624401)Termination phase: Saturation
% 40.65/6.64 % (624401)Time elapsed: 0.088 s
% 40.65/6.64 % (624401)Peak memory usage: 95 MB
% 40.65/6.64 % (624401)Instructions burned: 323 (million)
% 40.65/6.64 % (624403)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2336699782:i=2064:ep=RST_2946 on theBenchmark for (2946ds/2064Mi)
% 40.65/6.64 % (624389)First to succeed.
% 40.65/6.64 % (624389)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-624327"
% 40.65/6.64 % (624389)Refutation found. Thanks to Tanya!
% 40.65/6.64 % SZS status Theorem for theBenchmark
% 40.65/6.64 % SZS output start Proof for theBenchmark
% See solution above
% 41.37/6.73 % (624389)------------------------------
% 41.37/6.73 % (624389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.37/6.73 % (624389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.37/6.73 % (624389)CaDiCaL version: 2.1.3
% 41.37/6.73 % (624389)Termination reason: Refutation
% 41.37/6.73 % (624389)Time elapsed: 2.645 s
% 41.37/6.73 % (624389)Peak memory usage: 143 MB
% 41.37/6.73 % (624389)Instructions burned: 4692 (million)
% 41.37/6.73 % (624389)------------------------------
% 41.37/6.73 % (624389)------------------------------
% 41.37/6.73 % (624327)Success in time 5.778 s
% 41.37/6.73 % Vampire exiting
%------------------------------------------------------------------------------