%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO338+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 : n007.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 09:52:32 AM UTC 2026
% Result : Theorem 20.65s 3.89s
% Output : Refutation 21.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 55
% Syntax : Number of formulae : 670 ( 83 unt; 28 def)
% Number of atoms : 4378 (1548 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 6365 (2657 ~;3494 |; 172 &)
% ( 29 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 27 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-3 aty)
% Number of variables : 1365 ( 0 sgn1309 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1378,vd1362) = vf(vd1361,vd1363),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(398, 1383, 0)') ).
fof(f2,negated_conjecture,
vf(vd1378,vd1362) != vf(vd1361,vd1363),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vangle(vd1378,vd1363,vd1362) = vangle(vd1361,vd1362,vd1363),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(397), 1382, 0)') ).
fof(f4,axiom,
vf(vd1378,vd1363) = vf(vd1361,vd1362),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(397), 1381, 0)') ).
fof(f5,axiom,
vf(vd1363,vd1378) = vf(vd1361,vd1362),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(396), 1380, 0)') ).
fof(f6,axiom,
rR(vd1378,vd1361,vd1363),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(396), 1379, 0)') ).
fof(f7,axiom,
rpoint(vd1378),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(396, 0)') ).
fof(f8,axiom,
? [X0] :
( vd1363 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof(f9,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(f12,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ ? [X6] :
( ron(X5,X6)
& ron(X4,X6)
& ron(X3,X6)
& rline(X6) )
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& vf(X0,X2) = vf(X3,X5)
& vf(X0,X1) = vf(X3,X4)
& ? [X7] :
( X5 = X7
& rpoint(X7) )
& ? [X8] :
( X4 = X8
& rpoint(X8) )
& ? [X9] :
( X3 = X9
& rpoint(X9) )
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X10] :
( X2 = X10
& rpoint(X10) )
& ? [X11] :
( X1 = X11
& rpoint(X11) )
& ? [X12] :
( X0 = X12
& rpoint(X12) ) )
=> vf(X1,X2) = vf(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 2)') ).
fof(f15,axiom,
vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(386, 1365, 0)') ).
fof(f16,axiom,
vd1362 != vd1363,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(386, 9)') ).
fof(f17,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(386, 8)') ).
fof(f18,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(386, 7)') ).
fof(f19,axiom,
? [X0] :
( vd1362 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof(f20,axiom,
? [X0] :
( vd1361 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof(f24,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(f36,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(f46,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(f48,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f54,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f57,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(f58,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(f60,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(f61,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f63,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(f86,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(f87,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(f133,plain,
vf(vd1378,vd1362) != vf(vd1361,vd1363),
inference(flattening,[],[f2]) ).
fof(f138,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f139,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f138]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ? [X6] :
( ron(X5,X6)
& ron(X4,X6)
& ron(X3,X6)
& rline(X6) )
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| ! [X7] :
( X5 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X4 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X3 != X9
| ~ rpoint(X9) )
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X10] :
( X2 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X1 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X0 != X12
| ~ rpoint(X12) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ? [X6] :
( ron(X5,X6)
& ron(X4,X6)
& ron(X3,X6)
& rline(X6) )
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| ! [X7] :
( X5 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X4 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X3 != X9
| ~ rpoint(X9) )
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X10] :
( X2 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X1 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X0 != X12
| ~ rpoint(X12) ) ),
inference(flattening,[],[f144]) ).
fof(f152,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,[],[f24]) ).
fof(f153,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,[],[f152]) ).
fof(f176,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,[],[f36]) ).
fof(f177,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,[],[f176]) ).
fof(f196,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,[],[f46]) ).
fof(f197,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,[],[f196]) ).
fof(f198,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f199,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f198]) ).
fof(f212,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,[],[f57]) ).
fof(f213,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,[],[f212]) ).
fof(f214,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,[],[f58]) ).
fof(f215,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,[],[f214]) ).
fof(f216,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,[],[f60]) ).
fof(f217,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,[],[f216]) ).
fof(f218,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f219,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f218]) ).
fof(f222,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,[],[f63]) ).
fof(f223,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,[],[f222]) ).
fof(f268,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,[],[f86]) ).
fof(f269,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,[],[f268]) ).
fof(f270,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,[],[f87]) ).
fof(f271,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,[],[f270]) ).
fof(f354,plain,
( vd1363 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f8]) ).
fof(f357,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X1,X2) = vf(X4,X5)
| ( ron(X5,sK4(X3,X4,X5))
& ron(X4,sK4(X3,X4,X5))
& ron(X3,sK4(X3,X4,X5))
& rline(sK4(X3,X4,X5)) )
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| ! [X7] :
( X5 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X4 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X3 != X9
| ~ rpoint(X9) )
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X10] :
( X2 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X1 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X0 != X12
| ~ rpoint(X12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X6,sK4(X3,X4,X5))],[f145]) ).
fof(f358,plain,
( vd1362 = sK5
& rpoint(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f19]) ).
fof(f359,plain,
( vd1361 = sK6
& rpoint(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X0,sK6)],[f20]) ).
fof(f360,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,[],[f153]) ).
fof(f361,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,[],[f360]) ).
fof(f376,plain,
! [X0,X1] :
( ? [X2] :
( vf(X0,X1) = X2
& rreal(X2) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f199]) ).
fof(f377,plain,
! [X0,X1] :
( ( vf(X0,X1) = sK11(X0,X1)
& rreal(sK11(X0,X1)) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f376]) ).
fof(f378,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,[],[f223]) ).
fof(f379,plain,
! [X0,X1] :
( ( ron(X1,sK12(X0,X1))
& ron(X0,sK12(X0,X1))
& rline(sK12(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f378]) ).
fof(f434,plain,
vf(vd1378,vd1362) != vf(vd1361,vd1363),
inference(cnf_transformation,[],[f133]) ).
fof(f435,plain,
vangle(vd1378,vd1363,vd1362) = vangle(vd1361,vd1362,vd1363),
inference(cnf_transformation,[],[f3]) ).
fof(f436,plain,
vf(vd1378,vd1363) = vf(vd1361,vd1362),
inference(cnf_transformation,[],[f4]) ).
fof(f437,plain,
vf(vd1361,vd1362) = vf(vd1363,vd1378),
inference(cnf_transformation,[],[f5]) ).
fof(f438,plain,
rR(vd1378,vd1361,vd1363),
inference(cnf_transformation,[],[f6]) ).
fof(f439,plain,
rpoint(vd1378),
inference(cnf_transformation,[],[f7]) ).
fof(f440,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f354]) ).
fof(f441,plain,
vd1363 = sK1,
inference(cnf_transformation,[],[f354]) ).
fof(f442,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f451,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X1,X2) = vf(X4,X5)
| rline(sK4(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f357]) ).
fof(f453,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X1,X2) = vf(X4,X5)
| ron(X4,sK4(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f357]) ).
fof(f454,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12] :
( vf(X1,X2) = vf(X4,X5)
| ron(X5,sK4(X3,X4,X5))
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| vf(X0,X2) != vf(X3,X5)
| vf(X0,X1) != vf(X3,X4)
| X5 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(cnf_transformation,[],[f357]) ).
fof(f457,plain,
vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
inference(cnf_transformation,[],[f15]) ).
fof(f458,plain,
vd1362 != vd1363,
inference(cnf_transformation,[],[f16]) ).
fof(f459,plain,
vd1361 != vd1363,
inference(cnf_transformation,[],[f17]) ).
fof(f460,plain,
vd1362 != vd1361,
inference(cnf_transformation,[],[f18]) ).
fof(f461,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f358]) ).
fof(f462,plain,
vd1362 = sK5,
inference(cnf_transformation,[],[f358]) ).
fof(f463,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f359]) ).
fof(f464,plain,
vd1361 = sK6,
inference(cnf_transformation,[],[f359]) ).
fof(f468,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,[],[f361]) ).
fof(f469,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,[],[f361]) ).
fof(f470,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,[],[f361]) ).
fof(f488,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,[],[f177]) ).
fof(f490,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,[],[f177]) ).
fof(f491,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,[],[f177]) ).
fof(f512,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,[],[f197]) ).
fof(f514,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK11(X0,X1)
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f377]) ).
fof(f520,plain,
v0 = vd684,
inference(cnf_transformation,[],[f54]) ).
fof(f523,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,[],[f213]) ).
fof(f524,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,[],[f215]) ).
fof(f526,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,[],[f217]) ).
fof(f527,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X2) = vplus(vf(X0,X1),vf(X1,X2))
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f219]) ).
fof(f529,plain,
! [X3,X0,X1,X4] :
( rline(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f379]) ).
fof(f530,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f379]) ).
fof(f531,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f379]) ).
fof(f579,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,[],[f269]) ).
fof(f580,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,[],[f271]) ).
fof(f700,plain,
vf(vd1378,sK5) != vf(sK6,sK1),
inference(definition_unfolding,[],[f434,f462,f464,f441]) ).
fof(f701,plain,
vangle(vd1378,sK1,sK5) = vangle(sK6,sK5,sK1),
inference(definition_unfolding,[],[f435,f441,f462,f464,f462,f441]) ).
fof(f702,plain,
vf(vd1378,sK1) = vf(sK6,sK5),
inference(definition_unfolding,[],[f436,f441,f464,f462]) ).
fof(f703,plain,
vf(sK6,sK5) = vf(sK1,vd1378),
inference(definition_unfolding,[],[f437,f464,f462,f441]) ).
fof(f704,plain,
rR(vd1378,sK6,sK1),
inference(definition_unfolding,[],[f438,f464,f441]) ).
fof(f707,plain,
vangle(sK6,sK5,sK1) = vangle(sK6,sK1,sK5),
inference(definition_unfolding,[],[f457,f464,f462,f441,f464,f441,f462]) ).
fof(f708,plain,
sK1 != sK5,
inference(definition_unfolding,[],[f458,f462,f441]) ).
fof(f709,plain,
sK1 != sK6,
inference(definition_unfolding,[],[f459,f464,f441]) ).
fof(f710,plain,
sK5 != sK6,
inference(definition_unfolding,[],[f460,f462,f464]) ).
fof(f711,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,[],[f470,f520]) ).
fof(f712,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,[],[f469,f520]) ).
fof(f713,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,[],[f468,f520]) ).
fof(f721,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f442]) ).
fof(f722,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f721]) ).
fof(f771,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| ron(X7,sK4(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f454]) ).
fof(f772,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X7,sK4(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f771]) ).
fof(f773,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X7,sK4(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f772]) ).
fof(f774,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| ron(X7,sK4(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f773]) ).
fof(f775,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| ron(X7,sK4(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f774]) ).
fof(f776,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X7,sK4(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f775]) ).
fof(f777,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| ron(X4,sK4(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f453]) ).
fof(f778,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X8,sK4(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f777]) ).
fof(f779,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| ron(X8,sK4(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f778]) ).
fof(f780,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| ron(X8,sK4(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f779]) ).
fof(f781,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| ron(X8,sK4(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f780]) ).
fof(f782,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| ron(X8,sK4(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f781]) ).
fof(f789,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12] :
( vf(X1,X2) = vf(X4,X7)
| rline(sK4(X3,X4,X7))
| vangle(X1,X0,X2) != vangle(X4,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X4)
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f451]) ).
fof(f790,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| rline(sK4(X3,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X3,X7)
| vf(X0,X2) != vf(X3,X7)
| vf(X0,X1) != vf(X3,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X3 != X9
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f789]) ).
fof(f791,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X1,X2) = vf(X8,X7)
| rline(sK4(X9,X8,X7))
| vangle(X1,X0,X2) != vangle(X8,X9,X7)
| vf(X0,X2) != vf(X9,X7)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X10
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f790]) ).
fof(f792,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X1,X10)
| rline(sK4(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X1,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X0,X1) != vf(X9,X8)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 = X10
| X0 = X10
| X0 = X1
| ~ rpoint(X10)
| X1 != X11
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f791]) ).
fof(f793,plain,
! [X10,X0,X11,X8,X9,X7,X12] :
( vf(X8,X7) = vf(X11,X10)
| rline(sK4(X9,X8,X7))
| vangle(X8,X9,X7) != vangle(X11,X0,X10)
| vf(X9,X7) != vf(X0,X10)
| vf(X9,X8) != vf(X0,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X0 = X10
| X0 = X11
| ~ rpoint(X10)
| ~ rpoint(X11)
| X0 != X12
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f792]) ).
fof(f794,plain,
! [X10,X11,X8,X9,X7,X12] :
( vangle(X8,X9,X7) != vangle(X11,X12,X10)
| rline(sK4(X9,X8,X7))
| vf(X8,X7) = vf(X11,X10)
| vf(X9,X7) != vf(X12,X10)
| vf(X9,X8) != vf(X12,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X10 = X11
| X10 = X12
| X11 = X12
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12) ),
inference(equality_resolution,[],[f793]) ).
fof(f807,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,[],[f711]) ).
fof(f808,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,[],[f807]) ).
fof(f809,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,[],[f808]) ).
fof(f810,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,[],[f809]) ).
fof(f811,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,[],[f712]) ).
fof(f812,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,[],[f811]) ).
fof(f813,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,[],[f812]) ).
fof(f814,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,[],[f813]) ).
fof(f815,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,[],[f713]) ).
fof(f816,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,[],[f815]) ).
fof(f817,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,[],[f816]) ).
fof(f818,plain,
! [X3,X1,X7,X5] :
( ~ ron(X5,X7)
| rR(X1,X3,X5)
| vd684 = vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f817]) ).
fof(f877,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,[],[f491]) ).
fof(f878,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f877]) ).
fof(f879,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f878]) ).
fof(f880,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,[],[f490]) ).
fof(f881,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f880]) ).
fof(f882,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f881]) ).
fof(f883,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f882]) ).
fof(f888,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,[],[f488]) ).
fof(f889,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f888]) ).
fof(f890,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f889]) ).
fof(f945,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,[],[f512]) ).
fof(f946,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,[],[f945]) ).
fof(f947,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f946]) ).
fof(f948,plain,
! [X3,X0,X4] :
( vf(X0,X3) = sK11(X0,X3)
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f514]) ).
fof(f949,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X4,X3) = sK11(X4,X3) ),
inference(equality_resolution,[],[f948]) ).
fof(f964,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,[],[f523]) ).
fof(f965,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,[],[f964]) ).
fof(f966,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,[],[f965]) ).
fof(f967,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X4)
| rR(X7,X6,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| rR(X6,X7,X5)
| ~ rline(X4)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f966]) ).
fof(f968,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,[],[f524]) ).
fof(f969,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,[],[f968]) ).
fof(f970,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,[],[f969]) ).
fof(f971,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,[],[f970]) ).
fof(f972,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,[],[f526]) ).
fof(f973,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,[],[f972]) ).
fof(f974,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,[],[f973]) ).
fof(f975,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,[],[f974]) ).
fof(f976,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,[],[f975]) ).
fof(f977,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,[],[f976]) ).
fof(f978,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ ron(X13,X8)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f977]) ).
fof(f979,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X1),vf(X1,X3))
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f527]) ).
fof(f980,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X4),vf(X4,X3))
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f979]) ).
fof(f981,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| vf(X5,X3) = vplus(vf(X5,X4),vf(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f980]) ).
fof(f986,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f531]) ).
fof(f987,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f986]) ).
fof(f988,plain,
! [X3,X0,X4] :
( ron(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f530]) ).
fof(f989,plain,
! [X3,X4] :
( ron(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f988]) ).
fof(f990,plain,
! [X3,X0,X4] :
( rline(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f529]) ).
fof(f991,plain,
! [X3,X4] :
( rline(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f990]) ).
fof(f1155,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,[],[f579]) ).
fof(f1156,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,[],[f1155]) ).
fof(f1157,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,[],[f1156]) ).
fof(f1158,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,[],[f1157]) ).
fof(f1159,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,[],[f580]) ).
fof(f1160,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,[],[f1159]) ).
fof(f1161,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,[],[f1160]) ).
fof(f1162,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,[],[f1161]) ).
fof(f1501,definition,
sF52 = vf(vd1378,sK5),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1502,plain,
vf(vd1378,sK5) = sF52,
inference(reorient_equations,[],[f1501]) ).
fof(f1503,definition,
sF53 = vf(sK6,sK1),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1504,plain,
vf(sK6,sK1) = sF53,
inference(reorient_equations,[],[f1503]) ).
fof(f1505,plain,
sF52 != sF53,
inference(definition_folding,[],[f700,f1504,f1502]) ).
fof(f1507,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f883]) ).
fof(f1556,plain,
vangle(vd1378,sK1,sK5) = vangle(sK6,sK1,sK5),
inference(forward_demodulation,[],[f701,f707]) ).
fof(f1559,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1378,X0) = vf(X0,vd1378) ),
inference(resolution,[],[f722,f439]) ).
fof(f1561,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK5,X0) = vf(X0,sK5) ),
inference(resolution,[],[f722,f461]) ).
fof(f1562,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = vf(X0,sK6) ),
inference(resolution,[],[f722,f463]) ).
fof(f1563,plain,
( rR(vd1378,sK1,sK6)
| ~ rpoint(sK1)
| ~ rpoint(vd1378)
| ~ rpoint(sK6) ),
inference(resolution,[],[f890,f704]) ).
fof(f1564,plain,
( rR(vd1378,sK1,sK6)
| ~ rpoint(vd1378)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1563,f440]) ).
fof(f1565,plain,
( rR(vd1378,sK1,sK6)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f1564,f439]) ).
fof(f1566,plain,
rR(vd1378,sK1,sK6),
inference(forward_subsumption_resolution,[],[f1565,f463]) ).
fof(f1581,definition,
( spl54_13
<=> vd1378 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f1582,plain,
( vd1378 != sK1
| spl54_13 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1583,plain,
( vd1378 = sK1
| ~ spl54_13 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1591,definition,
( spl54_15
<=> vd1378 = sK5 ),
introduced(definition,[new_symbols(definition,[spl54_15])],[avatar_definition]) ).
fof(f1592,plain,
( vd1378 != sK5
| spl54_15 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1593,plain,
( vd1378 = sK5
| ~ spl54_15 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1712,plain,
vf(vd1378,sK6) = vf(sK6,vd1378),
inference(resolution,[],[f1559,f463]) ).
fof(f1984,plain,
vf(sK6,sK1) = vf(sK1,sK6),
inference(resolution,[],[f1562,f440]) ).
fof(f1985,plain,
vf(sK6,sK5) = vf(sK5,sK6),
inference(resolution,[],[f1562,f461]) ).
fof(f1987,plain,
sF53 = vf(sK1,sK6),
inference(forward_demodulation,[],[f1984,f1504]) ).
fof(f2094,plain,
vf(sK5,sK1) = vf(sK1,sK5),
inference(resolution,[],[f1561,f440]) ).
fof(f2318,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK1 = X1
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,X1,sK1) = vangle(sK1,X1,X0) ),
inference(resolution,[],[f947,f440]) ).
fof(f2319,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK5 = X1
| ~ rpoint(X0)
| sK5 = X0
| vangle(X0,X1,sK5) = vangle(sK5,X1,X0) ),
inference(resolution,[],[f947,f461]) ).
fof(f2320,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK6 = X1
| ~ rpoint(X0)
| sK6 = X0
| vangle(X0,X1,sK6) = vangle(sK6,X1,X0) ),
inference(resolution,[],[f947,f463]) ).
fof(f2325,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK12(X3,X2))
| ~ ron(X0,sK12(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK12(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f818,f987]) ).
fof(f2326,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK12(X2,X3))
| ~ ron(X0,sK12(X2,X3))
| X0 = X2
| X0 = X1
| ~ rline(sK12(X2,X3))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f818,f989]) ).
fof(f2327,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK12(X2,X3))
| ~ ron(X0,sK12(X2,X3))
| X0 = X2
| X0 = X1
| ~ rline(sK12(X2,X3))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f2326]) ).
fof(f2328,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK12(X3,X2))
| ~ ron(X0,sK12(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK12(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f2325]) ).
fof(f2329,plain,
! [X2,X3,X0,X1] :
( ~ ron(X1,sK12(X2,X3))
| vangle(X1,X0,X2) = vd684
| rR(X0,X1,X2)
| ~ ron(X0,sK12(X2,X3))
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f2327,f991]) ).
fof(f2330,plain,
! [X2,X3,X0,X1] :
( ~ ron(X1,sK12(X3,X2))
| vangle(X1,X0,X2) = vd684
| rR(X0,X1,X2)
| ~ ron(X0,sK12(X3,X2))
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f2328,f991]) ).
fof(f2331,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK12(X2,X0))
| X0 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f2330,f987]) ).
fof(f2334,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK12(X2,X0))
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2331]) ).
fof(f2335,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK12(X2,X0))
| vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2334,f1507]) ).
fof(f2341,plain,
! [X0,X1] :
( vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2335,f989]) ).
fof(f2342,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f2341]) ).
fof(f2347,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vd684 = vangle(X0,sK5,X0) ),
inference(resolution,[],[f2342,f461]) ).
fof(f2348,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vd684 = vangle(X0,sK6,X0) ),
inference(resolution,[],[f2342,f463]) ).
fof(f2364,plain,
( sK1 = sK5
| vd684 = vangle(sK1,sK5,sK1) ),
inference(resolution,[],[f2347,f440]) ).
fof(f2366,plain,
( sK5 = sK6
| vd684 = vangle(sK6,sK5,sK6) ),
inference(resolution,[],[f2347,f463]) ).
fof(f2367,plain,
vd684 = vangle(sK6,sK5,sK6),
inference(forward_subsumption_resolution,[],[f2366,f710]) ).
fof(f2368,plain,
vd684 = vangle(sK1,sK5,sK1),
inference(forward_subsumption_resolution,[],[f2364,f708]) ).
fof(f2371,plain,
( sK1 = sK6
| vd684 = vangle(sK1,sK6,sK1) ),
inference(resolution,[],[f2348,f440]) ).
fof(f2375,plain,
vd684 = vangle(sK1,sK6,sK1),
inference(forward_subsumption_resolution,[],[f2371,f709]) ).
fof(f2379,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) = vd684
| rR(X1,X0,X2)
| ~ ron(X1,sK12(X2,X0))
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f2329,f987]) ).
fof(f2382,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK12(X2,X0))
| rR(X1,X0,X2)
| vangle(X0,X1,X2) = vd684
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f2379]) ).
fof(f2387,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( rR(X0,X1,X2)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ ron(X4,sK12(X6,X0))
| ~ ron(X3,sK12(X6,X0))
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X5)
| ~ rline(sK12(X6,X0))
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X0 = X6
| ~ rpoint(X0)
| ~ rpoint(X6) ),
inference(resolution,[],[f978,f987]) ).
fof(f2390,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( rR(X0,X1,X2)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ ron(X4,sK12(X6,X0))
| ~ ron(X3,sK12(X6,X0))
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X5)
| ~ rline(sK12(X6,X0))
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X0 = X6
| ~ rpoint(X6) ),
inference(duplicate_literal_removal,[],[f2387]) ).
fof(f2392,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X4,sK12(X6,X0))
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| rR(X0,X1,X2)
| ~ ron(X3,sK12(X6,X0))
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X0 = X6
| ~ rpoint(X6) ),
inference(forward_subsumption_resolution,[],[f2390,f991]) ).
fof(f2632,plain,
! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK1 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5) ),
inference(superposition,[],[f810,f707]) ).
fof(f2665,plain,
! [X0] :
( ~ rR(X0,sK1,vd1378)
| rR(X0,sK1,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1162,f1566]) ).
fof(f2676,plain,
! [X0] :
( ~ rR(X0,sK1,vd1378)
| rR(X0,sK1,sK6)
| ~ rpoint(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2665,f463]) ).
fof(f2680,plain,
! [X0] :
( ~ rR(X0,sK1,vd1378)
| rR(X0,sK1,sK6)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2676,f439]) ).
fof(f2684,plain,
! [X0] :
( ~ rR(X0,sK1,vd1378)
| rR(X0,sK1,sK6)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2680,f440]) ).
fof(f2720,plain,
( ~ rR(sK1,vd1378,sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK1)
| ~ rpoint(vd1378) ),
inference(resolution,[],[f879,f1566]) ).
fof(f2730,plain,
( ~ rR(sK1,vd1378,sK6)
| ~ rpoint(sK1)
| ~ rpoint(vd1378) ),
inference(forward_subsumption_resolution,[],[f2720,f463]) ).
fof(f2733,plain,
( ~ rR(sK1,vd1378,sK6)
| ~ rpoint(vd1378) ),
inference(forward_subsumption_resolution,[],[f2730,f440]) ).
fof(f2736,plain,
~ rR(sK1,vd1378,sK6),
inference(forward_subsumption_resolution,[],[f2733,f439]) ).
fof(f2740,plain,
! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ron(sK5,X0)
| ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| sK1 = sK5
| vd1378 = sK1
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(superposition,[],[f814,f1556]) ).
fof(f2810,plain,
! [X0] :
( sK1 = sK6
| ~ rpoint(X0)
| sK6 = X0
| vangle(sK6,sK1,X0) = vangle(X0,sK1,sK6) ),
inference(resolution,[],[f2320,f440]) ).
fof(f2814,plain,
! [X0] :
( ~ rpoint(X0)
| sK6 = X0
| vangle(sK6,sK1,X0) = vangle(X0,sK1,sK6) ),
inference(forward_subsumption_resolution,[],[f2810,f709]) ).
fof(f2821,plain,
( sK5 = sK6
| vangle(sK6,sK1,sK5) = vangle(sK5,sK1,sK6) ),
inference(resolution,[],[f2814,f461]) ).
fof(f2823,plain,
vangle(sK6,sK1,sK5) = vangle(sK5,sK1,sK6),
inference(forward_subsumption_resolution,[],[f2821,f710]) ).
fof(f2871,plain,
! [X0] :
( sK1 = sK6
| ~ rpoint(X0)
| sK1 = X0
| vangle(sK1,sK6,X0) = vangle(X0,sK6,sK1) ),
inference(resolution,[],[f2318,f463]) ).
fof(f2872,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(sK1,sK6,X0) = vangle(X0,sK6,sK1) ),
inference(forward_subsumption_resolution,[],[f2871,f709]) ).
fof(f2879,plain,
( sK1 = sK5
| vangle(sK1,sK6,sK5) = vangle(sK5,sK6,sK1) ),
inference(resolution,[],[f2872,f461]) ).
fof(f2882,plain,
vangle(sK1,sK6,sK5) = vangle(sK5,sK6,sK1),
inference(forward_subsumption_resolution,[],[f2879,f708]) ).
fof(f2896,plain,
! [X0] :
( vd684 != vangle(sK1,sK6,sK5)
| ron(sK1,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK1 = sK6
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(superposition,[],[f814,f2882]) ).
fof(f3052,plain,
! [X0] :
( sK1 = sK5
| ~ rpoint(X0)
| sK5 = X0
| vangle(sK5,sK1,X0) = vangle(X0,sK1,sK5) ),
inference(resolution,[],[f2319,f440]) ).
fof(f3056,plain,
! [X0] :
( ~ rpoint(X0)
| sK5 = X0
| vangle(sK5,sK1,X0) = vangle(X0,sK1,sK5) ),
inference(forward_subsumption_resolution,[],[f3052,f708]) ).
fof(f3063,plain,
( vd1378 = sK5
| vangle(vd1378,sK1,sK5) = vangle(sK5,sK1,vd1378) ),
inference(resolution,[],[f3056,f439]) ).
fof(f3201,plain,
( vf(sK6,sK1) = vplus(vf(sK6,vd1378),vf(vd1378,sK1))
| ~ rpoint(sK1)
| ~ rpoint(vd1378)
| ~ rpoint(sK6) ),
inference(resolution,[],[f981,f704]) ).
fof(f3214,plain,
( vf(sK6,sK1) = vplus(vf(sK6,vd1378),vf(vd1378,sK1))
| ~ rpoint(vd1378)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f3201,f440]) ).
fof(f3218,plain,
( vf(sK6,sK1) = vplus(vf(sK6,vd1378),vf(vd1378,sK1))
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f3214,f439]) ).
fof(f3222,plain,
vf(sK6,sK1) = vplus(vf(sK6,vd1378),vf(vd1378,sK1)),
inference(forward_subsumption_resolution,[],[f3218,f463]) ).
fof(f3226,plain,
vf(sK6,sK1) = vplus(vf(sK6,vd1378),vf(sK6,sK5)),
inference(forward_demodulation,[],[f3222,f702]) ).
fof(f3450,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK1,X0) = sK11(sK1,X0) ),
inference(resolution,[],[f949,f440]) ).
fof(f3452,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK6,X0) = sK11(sK6,X0) ),
inference(resolution,[],[f949,f463]) ).
fof(f3454,plain,
vf(sK6,vd1378) = sK11(sK6,vd1378),
inference(resolution,[],[f3452,f439]) ).
fof(f3457,plain,
vf(sK6,sK5) = sK11(sK6,sK5),
inference(resolution,[],[f3452,f461]) ).
fof(f3465,plain,
vf(sK1,sK5) = sK11(sK1,sK5),
inference(resolution,[],[f3450,f461]) ).
fof(f3672,plain,
( ~ rR(sK1,sK1,sK6)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f2736,f1583]) ).
fof(f3684,plain,
vf(sK6,sK1) = vplus(vf(sK6,vd1378),sK11(sK6,sK5)),
inference(forward_demodulation,[],[f3226,f3457]) ).
fof(f3936,plain,
( rR(sK1,sK1,sK6)
| ~ spl54_13 ),
inference(superposition,[],[f1566,f1583]) ).
fof(f3940,plain,
( $false
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f3936,f3672]) ).
fof(f3941,plain,
~ spl54_13,
inference(avatar_contradiction_clause,[],[f3940]) ).
fof(f3972,definition,
( spl54_144
<=> vd1378 = sK6 ),
introduced(definition,[new_symbols(definition,[spl54_144])],[avatar_definition]) ).
fof(f3973,plain,
( vd1378 != sK6
| spl54_144 ),
inference(avatar_component_clause,[],[f3972]) ).
fof(f3974,plain,
( vd1378 = sK6
| ~ spl54_144 ),
inference(avatar_component_clause,[],[f3972]) ).
fof(f3993,plain,
( vangle(vd1378,sK1,sK5) = vangle(sK5,sK1,vd1378)
| spl54_15 ),
inference(forward_subsumption_resolution,[],[f3063,f1592]) ).
fof(f4021,plain,
vf(sK6,sK1) = vplus(sK11(sK6,vd1378),sK11(sK6,sK5)),
inference(forward_demodulation,[],[f3684,f3454]) ).
fof(f4051,plain,
( vangle(sK6,sK1,sK5) = vangle(sK5,sK1,vd1378)
| spl54_15 ),
inference(forward_demodulation,[],[f3993,f1556]) ).
fof(f4074,plain,
sF53 = vplus(sK11(sK6,vd1378),sK11(sK6,sK5)),
inference(forward_demodulation,[],[f4021,f1504]) ).
fof(f4140,plain,
( vf(sK6,sK5) = vf(sK1,sK6)
| ~ spl54_144 ),
inference(superposition,[],[f703,f3974]) ).
fof(f4142,plain,
( vf(sK6,sK5) = sF52
| ~ spl54_144 ),
inference(superposition,[],[f1502,f3974]) ).
fof(f4149,plain,
( sF52 = sK11(sK6,sK5)
| ~ spl54_144 ),
inference(forward_demodulation,[],[f4142,f3457]) ).
fof(f4150,plain,
( vf(sK6,sK5) = sF53
| ~ spl54_144 ),
inference(forward_demodulation,[],[f4140,f1987]) ).
fof(f4154,plain,
( sF53 = sK11(sK6,sK5)
| ~ spl54_144 ),
inference(forward_demodulation,[],[f4150,f3457]) ).
fof(f4155,plain,
( sF52 = sF53
| ~ spl54_144 ),
inference(forward_demodulation,[],[f4154,f4149]) ).
fof(f4156,plain,
( $false
| ~ spl54_144 ),
inference(forward_subsumption_resolution,[],[f4155,f1505]) ).
fof(f4157,plain,
~ spl54_144,
inference(avatar_contradiction_clause,[],[f4156]) ).
fof(f4412,plain,
( ! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| vd1378 = sK1
| sK1 = sK5
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1) )
| spl54_15 ),
inference(superposition,[],[f810,f4051]) ).
fof(f5470,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,sK12(X0,X3))
| ~ ron(X1,sK12(X0,X3))
| rR(X1,X0,X2)
| ~ rline(sK12(X0,X3))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f967,f989]) ).
fof(f5473,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,sK12(X0,X3))
| ~ ron(X1,sK12(X0,X3))
| rR(X1,X0,X2)
| ~ rline(sK12(X0,X3))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f5470]) ).
fof(f7001,plain,
! [X0] :
( ~ rR(vd1378,sK1,X0)
| ~ rR(vd1378,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1158,f1566]) ).
fof(f7008,plain,
! [X0] :
( ~ rR(vd1378,sK1,X0)
| ~ rR(vd1378,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f7001,f463]) ).
fof(f7010,plain,
! [X0] :
( ~ rR(vd1378,sK1,X0)
| ~ rR(vd1378,sK6,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f7008,f439]) ).
fof(f7012,plain,
! [X0] :
( ~ rR(vd1378,sK6,X0)
| ~ rR(vd1378,sK1,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f7010,f440]) ).
fof(f11135,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f776,f707]) ).
fof(f11190,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f11135,f440]) ).
fof(f11236,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f11190,f463]) ).
fof(f11282,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f11236,f461]) ).
fof(f11328,plain,
! [X2,X0,X1] :
( vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f11282,f1504]) ).
fof(f11374,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f11328,f2094]) ).
fof(f11419,plain,
! [X2,X0,X1] :
( vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f11374,f3465]) ).
fof(f11469,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f11419,f1985]) ).
fof(f11532,plain,
! [X2,X0,X1] :
( vf(X1,X0) != sK11(sK6,sK5)
| vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK1,sK4(sK5,sK6,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f11469,f3457]) ).
fof(f11652,definition,
( spl54_564
<=> ron(sK1,sK4(sK5,sK6,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_564])],[avatar_definition]) ).
fof(f11654,plain,
( ron(sK1,sK4(sK5,sK6,sK1))
| ~ spl54_564 ),
inference(avatar_component_clause,[],[f11652]) ).
fof(f11822,definition,
( spl54_587
<=> ! [X2,X0,X1] :
( vf(X1,X0) != sK11(sK6,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| vf(X0,X2) = sF53
| vf(X1,X2) != sK11(sK1,sK5) ) ),
introduced(definition,[new_symbols(definition,[spl54_587])],[avatar_definition]) ).
fof(f11823,plain,
( ! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| X1 = X2
| X0 = X2
| vf(X1,X0) != sK11(sK6,sK5)
| vf(X0,X2) = sF53
| vf(X1,X2) != sK11(sK1,sK5) )
| ~ spl54_587 ),
inference(avatar_component_clause,[],[f11822]) ).
fof(f11824,plain,
( spl54_564
| spl54_587 ),
inference(avatar_split_clause,[],[f11532,f11822,f11652]) ).
fof(f11992,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f782,f707]) ).
fof(f12045,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f11992,f440]) ).
fof(f12085,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f12045,f463]) ).
fof(f12125,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f12085,f461]) ).
fof(f12165,plain,
! [X2,X0,X1] :
( vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f12125,f1504]) ).
fof(f12205,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f12165,f2094]) ).
fof(f12244,plain,
! [X2,X0,X1] :
( vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f12205,f3465]) ).
fof(f12279,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f12244,f1985]) ).
fof(f12314,plain,
! [X2,X0,X1] :
( vf(X1,X0) != sK11(sK6,sK5)
| vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| ron(sK6,sK4(sK5,sK6,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f12279,f3457]) ).
fof(f12363,definition,
( spl54_607
<=> ron(sK6,sK4(sK5,sK6,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_607])],[avatar_definition]) ).
fof(f12365,plain,
( ron(sK6,sK4(sK5,sK6,sK1))
| ~ spl54_607 ),
inference(avatar_component_clause,[],[f12363]) ).
fof(f12366,plain,
( spl54_607
| spl54_587 ),
inference(avatar_split_clause,[],[f12314,f11822,f12363]) ).
fof(f12568,plain,
( vangle(sK6,sK1,sK5) != vangle(sK6,sK1,sK5)
| ~ rpoint(sK1)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| vd1378 = sK1
| sK1 = sK5
| vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| ~ spl54_587 ),
inference(superposition,[],[f11823,f1556]) ).
fof(f12587,plain,
( ~ rpoint(sK1)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| vd1378 = sK1
| sK1 = sK5
| vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| ~ spl54_587 ),
inference(trivial_inequality_removal,[],[f12568]) ).
fof(f12599,plain,
( ~ rpoint(vd1378)
| ~ rpoint(sK5)
| vd1378 = sK1
| sK1 = sK5
| vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12587,f440]) ).
fof(f12611,plain,
( ~ rpoint(sK5)
| vd1378 = sK1
| sK1 = sK5
| vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12599,f439]) ).
fof(f12623,plain,
( vd1378 = sK1
| sK1 = sK5
| vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12611,f461]) ).
fof(f12635,plain,
( sK1 = sK5
| vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| spl54_13
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12623,f1582]) ).
fof(f12647,plain,
( vd1378 = sK5
| vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| spl54_13
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12635,f708]) ).
fof(f12659,plain,
( vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| vf(sK1,sK5) != sK11(sK1,sK5)
| spl54_13
| spl54_15
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12647,f1592]) ).
fof(f12671,plain,
( vf(sK1,vd1378) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| spl54_13
| spl54_15
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12659,f3465]) ).
fof(f12675,plain,
( vf(sK6,sK5) != sK11(sK6,sK5)
| vf(vd1378,sK5) = sF53
| spl54_13
| spl54_15
| ~ spl54_587 ),
inference(forward_demodulation,[],[f12671,f703]) ).
fof(f12678,plain,
( vf(vd1378,sK5) = sF53
| spl54_13
| spl54_15
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12675,f3457]) ).
fof(f12681,plain,
( sF52 = sF53
| spl54_13
| spl54_15
| ~ spl54_587 ),
inference(forward_demodulation,[],[f12678,f1502]) ).
fof(f12683,plain,
( $false
| spl54_13
| spl54_15
| ~ spl54_587 ),
inference(forward_subsumption_resolution,[],[f12681,f1505]) ).
fof(f12684,plain,
( spl54_13
| spl54_15
| ~ spl54_587 ),
inference(avatar_contradiction_clause,[],[f12683]) ).
fof(f16585,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(superposition,[],[f794,f707]) ).
fof(f17055,plain,
! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ron(sK5,X0)
| ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| vd1378 = sK1
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2740,f708]) ).
fof(f17056,plain,
! [X0] :
( vd684 != vangle(sK1,sK6,sK5)
| ron(sK1,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f2896,f709]) ).
fof(f17061,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X0,X3))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,sK12(X0,X3))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f5473,f991]) ).
fof(f17125,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f16585,f440]) ).
fof(f17170,plain,
( ! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ron(sK5,X0)
| ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f17055,f1582]) ).
fof(f17171,plain,
! [X0] :
( vd684 != vangle(sK1,sK6,sK5)
| ron(sK1,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f17056,f710]) ).
fof(f17216,definition,
( spl54_887
<=> rline(sK4(sK5,sK6,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_887])],[avatar_definition]) ).
fof(f17217,plain,
( rline(sK4(sK5,sK6,sK1))
| ~ spl54_887 ),
inference(avatar_component_clause,[],[f17216]) ).
fof(f17322,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| ~ rpoint(sK5)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f17125,f463]) ).
fof(f17367,plain,
( ! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ron(sK5,X0)
| ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f17170,f461]) ).
fof(f17368,plain,
! [X0] :
( vd684 != vangle(sK1,sK6,sK5)
| ron(sK1,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f17171,f440]) ).
fof(f17395,plain,
! [X2,X0,X1] :
( vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X0,X2) = vf(sK6,sK1)
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f17322,f461]) ).
fof(f17440,plain,
( ! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ron(sK5,X0)
| ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f17367,f439]) ).
fof(f17441,plain,
! [X0] :
( vd684 != vangle(sK1,sK6,sK5)
| ron(sK1,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0)
| ~ rpoint(sK6) ),
inference(forward_subsumption_resolution,[],[f17368,f461]) ).
fof(f17457,plain,
! [X2,X0,X1] :
( vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X1,X2) != vf(sK5,sK1)
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f17395,f1504]) ).
fof(f17501,plain,
( ! [X0] :
( vd684 != vangle(sK6,sK1,sK5)
| ron(sK5,X0)
| ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f17440,f440]) ).
fof(f17515,plain,
! [X2,X0,X1] :
( vf(X1,X2) != vf(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f17457,f2094]) ).
fof(f17554,definition,
( spl54_913
<=> ! [X0] :
( ron(sK5,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(vd1378,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_913])],[avatar_definition]) ).
fof(f17555,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ron(sK5,X0)
| ~ ron(vd1378,X0) )
| ~ spl54_913 ),
inference(avatar_component_clause,[],[f17554]) ).
fof(f17557,definition,
( spl54_914
<=> vd684 = vangle(sK6,sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_914])],[avatar_definition]) ).
fof(f17558,plain,
( vd684 = vangle(sK6,sK1,sK5)
| ~ spl54_914 ),
inference(avatar_component_clause,[],[f17557]) ).
fof(f17559,plain,
( vd684 != vangle(sK6,sK1,sK5)
| spl54_914 ),
inference(avatar_component_clause,[],[f17557]) ).
fof(f17560,plain,
( spl54_913
| ~ spl54_914
| spl54_13 ),
inference(avatar_split_clause,[],[f17501,f1581,f17557,f17554]) ).
fof(f17574,definition,
( spl54_918
<=> vd684 = vangle(sK6,sK5,vd1378) ),
introduced(definition,[new_symbols(definition,[spl54_918])],[avatar_definition]) ).
fof(f17575,plain,
( vd684 = vangle(sK6,sK5,vd1378)
| ~ spl54_918 ),
inference(avatar_component_clause,[],[f17574]) ).
fof(f17576,plain,
( vd684 != vangle(sK6,sK5,vd1378)
| spl54_918 ),
inference(avatar_component_clause,[],[f17574]) ).
fof(f17617,plain,
! [X2,X0,X1] :
( vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| vf(X1,X0) != vf(sK5,sK6)
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f17515,f3465]) ).
fof(f17647,definition,
( spl54_927
<=> ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_927])],[avatar_definition]) ).
fof(f17648,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ~ ron(sK5,X0) )
| ~ spl54_927 ),
inference(avatar_component_clause,[],[f17647]) ).
fof(f17651,definition,
( spl54_928
<=> ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_928])],[avatar_definition]) ).
fof(f17652,plain,
( ! [X0] :
( ~ ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK5,X0) )
| ~ spl54_928 ),
inference(avatar_component_clause,[],[f17651]) ).
fof(f17664,plain,
! [X2,X0,X1] :
( vf(X1,X0) != vf(sK6,sK5)
| vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f17617,f1985]) ).
fof(f17685,plain,
! [X2,X0,X1] :
( vf(X1,X0) != sK11(sK6,sK5)
| vf(X1,X2) != sK11(sK1,sK5)
| vf(X0,X2) = sF53
| vangle(X0,X1,X2) != vangle(sK6,sK1,sK5)
| rline(sK4(sK5,sK6,sK1))
| X0 = X2
| X1 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(forward_demodulation,[],[f17664,f3457]) ).
fof(f17700,plain,
( spl54_887
| spl54_587 ),
inference(avatar_split_clause,[],[f17685,f11822,f17216]) ).
fof(f17911,plain,
! [X2,X0,X1] :
( rR(X0,X1,X2)
| rR(X1,X2,X0)
| ~ ron(X2,sK12(X1,X0))
| rR(X2,X1,X0)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f17061,f987]) ).
fof(f17916,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK12(X1,X0))
| rR(X1,X2,X0)
| rR(X0,X1,X2)
| rR(X2,X1,X0)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f17911]) ).
fof(f17928,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X0,X1,X2)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| ~ ron(X3,X5)
| ~ ron(X4,X5)
| rR(X0,X4,X3)
| ~ ron(X1,sK12(X2,X0))
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f2392,f989]) ).
fof(f17931,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X1,sK12(X2,X0))
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| ~ ron(X3,X5)
| ~ ron(X4,X5)
| rR(X0,X4,X3)
| rR(X0,X1,X2)
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f17928]) ).
fof(f17936,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| X0 = X3
| X0 = X2
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| rR(X0,X3,X1)
| rR(X0,X2,X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f17931,f989]) ).
fof(f17939,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ ron(X1,X4)
| ~ ron(X3,X4)
| rR(X0,X3,X1)
| rR(X0,X2,X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f17936]) ).
fof(f17943,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,X4)
| X0 = X2
| X0 = X3
| ~ ron(X1,X4)
| X0 = X1
| rR(X0,X3,X1)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f17939,f1507]) ).
fof(f17944,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| ~ ron(X3,sK12(X4,X2))
| X0 = X3
| rR(X0,X2,X3)
| vangle(X1,X0,X2) = vangle(X1,X0,X3)
| ~ rline(sK12(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X2 = X4
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f17943,f987]) ).
fof(f17958,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| ~ ron(X3,sK12(X4,X2))
| X0 = X3
| rR(X0,X2,X3)
| vangle(X1,X0,X2) = vangle(X1,X0,X3)
| ~ rline(sK12(X4,X2))
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X2 = X4
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f17944]) ).
fof(f17969,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK12(X4,X2))
| X0 = X2
| X0 = X1
| X0 = X3
| rR(X0,X2,X3)
| vangle(X1,X0,X2) = vangle(X1,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X2 = X4
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f17958,f991]) ).
fof(f17994,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| rR(X0,X1,X3)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X1 = X3
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f17969,f989]) ).
fof(f17997,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 = X2
| X0 = X3
| rR(X0,X1,X3)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X1 = X3 ),
inference(duplicate_literal_removal,[],[f17994]) ).
fof(f18014,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK1 = X0
| rR(X0,X2,sK1)
| vangle(X1,X0,X2) = vangle(X1,X0,sK1)
| X0 = X2
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| sK1 = X2 ),
inference(resolution,[],[f17997,f440]) ).
fof(f18016,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK6 = X0
| rR(X0,X2,sK6)
| vangle(X1,X0,X2) = vangle(X1,X0,sK6)
| X0 = X2
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| sK6 = X2 ),
inference(resolution,[],[f17997,f463]) ).
fof(f18043,plain,
! [X0,X1] :
( sK1 = X0
| rR(X0,sK5,sK1)
| vangle(X1,X0,sK5) = vangle(X1,X0,sK1)
| sK5 = X0
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| sK1 = sK5 ),
inference(resolution,[],[f18014,f461]) ).
fof(f18047,plain,
! [X0,X1] :
( ~ rpoint(X1)
| rR(X0,sK5,sK1)
| vangle(X1,X0,sK5) = vangle(X1,X0,sK1)
| sK5 = X0
| sK1 = X0
| X0 = X1
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f18043,f708]) ).
fof(f18083,plain,
! [X0,X1] :
( sK6 = X0
| rR(X0,sK1,sK6)
| vangle(X1,X0,sK1) = vangle(X1,X0,sK6)
| sK1 = X0
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| sK1 = sK6 ),
inference(resolution,[],[f18016,f440]) ).
fof(f18088,plain,
! [X0,X1] :
( ~ rpoint(X1)
| rR(X0,sK1,sK6)
| vangle(X1,X0,sK1) = vangle(X1,X0,sK6)
| sK1 = X0
| sK6 = X0
| X0 = X1
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f18083,f709]) ).
fof(f18150,plain,
! [X0] :
( rR(X0,sK5,sK1)
| vangle(sK1,X0,sK5) = vangle(sK1,X0,sK1)
| sK5 = X0
| sK1 = X0
| sK1 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f18047,f440]) ).
fof(f18154,plain,
! [X0] :
( rR(X0,sK5,sK1)
| vangle(sK1,X0,sK5) = vangle(sK1,X0,sK1)
| sK5 = X0
| sK1 = X0
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f18150]) ).
fof(f18248,plain,
! [X0] :
( rR(X0,sK1,sK6)
| vangle(sK6,X0,sK1) = vangle(sK6,X0,sK6)
| sK1 = X0
| sK6 = X0
| sK6 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f18088,f463]) ).
fof(f18249,plain,
! [X0] :
( rR(X0,sK1,sK6)
| vangle(sK6,X0,sK1) = vangle(sK6,X0,sK6)
| sK1 = X0
| sK6 = X0
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f18248]) ).
fof(f18663,plain,
! [X0] :
( vd684 != vangle(sK1,sK6,sK5)
| ron(sK1,X0)
| ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f17441,f463]) ).
fof(f18702,definition,
( spl54_973
<=> ! [X0] :
( ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_973])],[avatar_definition]) ).
fof(f18703,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ rline(X0)
| ron(sK1,X0)
| ~ ron(sK5,X0) )
| ~ spl54_973 ),
inference(avatar_component_clause,[],[f18702]) ).
fof(f18705,definition,
( spl54_974
<=> vd684 = vangle(sK1,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_974])],[avatar_definition]) ).
fof(f18707,plain,
( vd684 != vangle(sK1,sK6,sK5)
| spl54_974 ),
inference(avatar_component_clause,[],[f18705]) ).
fof(f18708,plain,
( spl54_973
| ~ spl54_974 ),
inference(avatar_split_clause,[],[f18663,f18705,f18702]) ).
fof(f18710,definition,
( spl54_975
<=> rR(sK6,sK5,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_975])],[avatar_definition]) ).
fof(f18711,plain,
( rR(sK6,sK5,sK1)
| ~ spl54_975 ),
inference(avatar_component_clause,[],[f18710]) ).
fof(f18712,plain,
( ~ rR(sK6,sK5,sK1)
| spl54_975 ),
inference(avatar_component_clause,[],[f18710]) ).
fof(f18846,plain,
( vangle(sK1,sK6,sK1) = vangle(sK1,sK6,sK5)
| sK5 = sK6
| sK1 = sK6
| ~ rpoint(sK6)
| spl54_975 ),
inference(resolution,[],[f18712,f18154]) ).
fof(f18847,plain,
( vangle(sK1,sK6,sK1) = vangle(sK1,sK6,sK5)
| sK1 = sK6
| ~ rpoint(sK6)
| spl54_975 ),
inference(forward_subsumption_resolution,[],[f18846,f710]) ).
fof(f18848,plain,
( vangle(sK1,sK6,sK1) = vangle(sK1,sK6,sK5)
| ~ rpoint(sK6)
| spl54_975 ),
inference(forward_subsumption_resolution,[],[f18847,f709]) ).
fof(f18849,plain,
( vangle(sK1,sK6,sK1) = vangle(sK1,sK6,sK5)
| spl54_975 ),
inference(forward_subsumption_resolution,[],[f18848,f463]) ).
fof(f18850,plain,
( vd684 = vangle(sK1,sK6,sK5)
| spl54_975 ),
inference(forward_demodulation,[],[f18849,f2375]) ).
fof(f18851,plain,
( $false
| spl54_974
| spl54_975 ),
inference(forward_subsumption_resolution,[],[f18850,f18707]) ).
fof(f18852,plain,
( spl54_974
| spl54_975 ),
inference(avatar_contradiction_clause,[],[f18851]) ).
fof(f18855,plain,
( ~ rR(sK5,sK6,sK1)
| ~ rpoint(sK1)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_975 ),
inference(resolution,[],[f18711,f879]) ).
fof(f18857,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_975 ),
inference(resolution,[],[f18711,f971]) ).
fof(f18865,plain,
( ~ rR(sK5,sK6,sK1)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_975 ),
inference(forward_subsumption_resolution,[],[f18855,f440]) ).
fof(f18871,plain,
( ~ rR(sK5,sK6,sK1)
| ~ rpoint(sK6)
| ~ spl54_975 ),
inference(forward_subsumption_resolution,[],[f18865,f461]) ).
fof(f18877,plain,
( ~ rR(sK5,sK6,sK1)
| ~ spl54_975 ),
inference(forward_subsumption_resolution,[],[f18871,f463]) ).
fof(f18909,plain,
( ! [X0] :
( ~ rline(sK12(sK6,X0))
| ron(sK1,sK12(sK6,X0))
| ~ ron(sK5,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl54_973 ),
inference(resolution,[],[f18703,f989]) ).
fof(f18912,plain,
( ! [X0] :
( ron(sK1,sK12(sK6,X0))
| ~ ron(sK5,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18909,f991]) ).
fof(f18914,plain,
( ! [X0] :
( ~ ron(sK5,sK12(sK6,X0))
| ron(sK1,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18912,f463]) ).
fof(f18916,plain,
( ron(sK1,sK12(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_973 ),
inference(resolution,[],[f18914,f987]) ).
fof(f18917,plain,
( ron(sK1,sK12(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_973 ),
inference(duplicate_literal_removal,[],[f18916]) ).
fof(f18918,plain,
( ron(sK1,sK12(sK6,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18917,f710]) ).
fof(f18919,plain,
( ron(sK1,sK12(sK6,sK5))
| ~ rpoint(sK6)
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18918,f461]) ).
fof(f18920,plain,
( ron(sK1,sK12(sK6,sK5))
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18919,f463]) ).
fof(f18933,plain,
( ! [X2,X0,X1] :
( sK5 = X0
| sK5 = sK6
| sK5 = X1
| sK1 = sK5
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK5,X1,X0)
| rR(sK5,sK1,sK6)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(sK5) )
| ~ spl54_973 ),
inference(resolution,[],[f18920,f17931]) ).
fof(f18947,plain,
( ! [X2,X0,X1] :
( sK5 = X0
| sK5 = X1
| sK1 = sK5
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK5,X1,X0)
| rR(sK5,sK1,sK6)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(sK5) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18933,f710]) ).
fof(f18965,definition,
( spl54_978
<=> ron(vd1378,sK12(sK6,sK5)) ),
introduced(definition,[new_symbols(definition,[spl54_978])],[avatar_definition]) ).
fof(f18966,plain,
( ron(vd1378,sK12(sK6,sK5))
| ~ spl54_978 ),
inference(avatar_component_clause,[],[f18965]) ).
fof(f18989,plain,
( ! [X2,X0,X1] :
( sK5 = X0
| sK5 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK5,X1,X0)
| rR(sK5,sK1,sK6)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(sK6)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(sK5) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18947,f708]) ).
fof(f18998,plain,
( ! [X2,X0,X1] :
( sK5 = X0
| sK5 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK5,X1,X0)
| rR(sK5,sK1,sK6)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(sK5) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18989,f463]) ).
fof(f19007,plain,
( ! [X2,X0,X1] :
( sK5 = X0
| sK5 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK5,X1,X0)
| rR(sK5,sK1,sK6)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK5) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f18998,f440]) ).
fof(f19016,plain,
( ! [X2,X0,X1] :
( sK5 = X0
| sK5 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK5,X1,X0)
| rR(sK5,sK1,sK6)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19007,f461]) ).
fof(f19024,definition,
( spl54_984
<=> rR(sK5,sK1,sK6) ),
introduced(definition,[new_symbols(definition,[spl54_984])],[avatar_definition]) ).
fof(f19025,plain,
( ~ rR(sK5,sK1,sK6)
| spl54_984 ),
inference(avatar_component_clause,[],[f19024]) ).
fof(f19026,plain,
( rR(sK5,sK1,sK6)
| ~ spl54_984 ),
inference(avatar_component_clause,[],[f19024]) ).
fof(f19028,definition,
( spl54_985
<=> ! [X2,X0,X1] :
( sK5 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rline(X2)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| rR(sK5,X1,X0)
| ~ ron(X0,X2)
| sK5 = X1
| ~ ron(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_985])],[avatar_definition]) ).
fof(f19029,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rline(X2)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| rR(sK5,X1,X0)
| ~ ron(X0,X2)
| sK5 = X1
| sK5 = X0 )
| ~ spl54_985 ),
inference(avatar_component_clause,[],[f19028]) ).
fof(f19030,plain,
( spl54_984
| spl54_985
| ~ spl54_973 ),
inference(avatar_split_clause,[],[f19016,f18702,f19028,f19024]) ).
fof(f19042,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_975 ),
inference(forward_subsumption_resolution,[],[f18857,f440]) ).
fof(f19043,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| ~ spl54_975 ),
inference(forward_subsumption_resolution,[],[f19042,f463]) ).
fof(f19044,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_975 ),
inference(forward_subsumption_resolution,[],[f19043,f461]) ).
fof(f19045,plain,
( spl54_973
| ~ spl54_975 ),
inference(avatar_split_clause,[],[f19044,f18710,f18702]) ).
fof(f19082,plain,
( rR(sK5,sK6,sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_984 ),
inference(resolution,[],[f19026,f890]) ).
fof(f19090,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_975
| ~ spl54_984 ),
inference(forward_subsumption_resolution,[],[f19082,f18877]) ).
fof(f19096,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_975
| ~ spl54_984 ),
inference(forward_subsumption_resolution,[],[f19090,f463]) ).
fof(f19102,plain,
( ~ rpoint(sK1)
| ~ spl54_975
| ~ spl54_984 ),
inference(forward_subsumption_resolution,[],[f19096,f461]) ).
fof(f19106,plain,
( $false
| ~ spl54_975
| ~ spl54_984 ),
inference(forward_subsumption_resolution,[],[f19102,f440]) ).
fof(f19107,plain,
( ~ spl54_975
| ~ spl54_984 ),
inference(avatar_contradiction_clause,[],[f19106]) ).
fof(f19116,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| sK1 = sK6
| sK1 = sK5
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK5 = sK6
| ~ spl54_973 ),
inference(resolution,[],[f18920,f2382]) ).
fof(f19136,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| sK1 = sK5
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK5 = sK6
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19116,f709]) ).
fof(f19144,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK5 = sK6
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19136,f708]) ).
fof(f19152,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK5 = sK6
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19144,f463]) ).
fof(f19160,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| ~ rpoint(sK1)
| sK5 = sK6
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19152,f461]) ).
fof(f19168,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| sK5 = sK6
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19160,f440]) ).
fof(f19170,plain,
( rR(sK1,sK5,sK6)
| vd684 = vangle(sK5,sK1,sK6)
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19168,f710]) ).
fof(f19172,plain,
( vd684 = vangle(sK6,sK1,sK5)
| rR(sK1,sK5,sK6)
| ~ spl54_973 ),
inference(forward_demodulation,[],[f19170,f2823]) ).
fof(f19177,plain,
( ! [X0] :
( ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| vd1378 = sK1
| sK1 = sK5
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1) )
| spl54_15
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f4412,f17558]) ).
fof(f19179,plain,
( ! [X0] :
( ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| sK1 = sK5
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1) )
| spl54_13
| spl54_15
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f19177,f1582]) ).
fof(f19181,plain,
( ! [X0] :
( ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1) )
| spl54_13
| spl54_15
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f19179,f708]) ).
fof(f19183,plain,
( ! [X0] :
( ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK1) )
| spl54_13
| spl54_15
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f19181,f439]) ).
fof(f19185,plain,
( ! [X0] :
( ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_13
| spl54_15
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f19183,f461]) ).
fof(f19187,plain,
( ! [X0] :
( ~ rR(sK1,sK5,vd1378)
| ~ ron(sK5,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_13
| spl54_15
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f19185,f440]) ).
fof(f19190,definition,
( spl54_987
<=> rR(sK1,sK5,vd1378) ),
introduced(definition,[new_symbols(definition,[spl54_987])],[avatar_definition]) ).
fof(f19192,plain,
( ~ rR(sK1,sK5,vd1378)
| spl54_987 ),
inference(avatar_component_clause,[],[f19190]) ).
fof(f19193,plain,
( spl54_928
| ~ spl54_987
| spl54_13
| spl54_15
| ~ spl54_914 ),
inference(avatar_split_clause,[],[f19187,f17557,f1591,f1581,f19190,f17651]) ).
fof(f19195,definition,
( spl54_988
<=> rR(sK1,sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl54_988])],[avatar_definition]) ).
fof(f19196,plain,
( rR(sK1,sK5,sK6)
| ~ spl54_988 ),
inference(avatar_component_clause,[],[f19195]) ).
fof(f19197,plain,
( ~ rR(sK1,sK5,sK6)
| spl54_988 ),
inference(avatar_component_clause,[],[f19195]) ).
fof(f19300,plain,
( rR(sK1,sK5,sK6)
| spl54_914
| ~ spl54_973 ),
inference(forward_subsumption_resolution,[],[f19172,f17559]) ).
fof(f19305,plain,
( $false
| spl54_914
| ~ spl54_973
| spl54_988 ),
inference(forward_subsumption_resolution,[],[f19300,f19197]) ).
fof(f19306,plain,
( spl54_914
| ~ spl54_973
| spl54_988 ),
inference(avatar_contradiction_clause,[],[f19305]) ).
fof(f19335,definition,
( spl54_997
<=> rR(sK5,sK6,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_997])],[avatar_definition]) ).
fof(f19336,plain,
( ~ rR(sK5,sK6,sK1)
| spl54_997 ),
inference(avatar_component_clause,[],[f19335]) ).
fof(f19347,plain,
( ~ rR(sK5,sK1,sK6)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_988 ),
inference(resolution,[],[f19196,f879]) ).
fof(f19463,plain,
( ! [X0] :
( ~ rline(sK12(sK1,X0))
| ron(sK5,sK12(sK1,X0))
| ~ ron(vd1378,sK12(sK1,X0))
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_913 ),
inference(resolution,[],[f17555,f989]) ).
fof(f19466,plain,
( ! [X0] :
( ron(sK5,sK12(sK1,X0))
| ~ ron(vd1378,sK12(sK1,X0))
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_913 ),
inference(forward_subsumption_resolution,[],[f19463,f991]) ).
fof(f19468,plain,
( ! [X0] :
( ~ ron(vd1378,sK12(sK1,X0))
| ron(sK5,sK12(sK1,X0))
| sK1 = X0
| ~ rpoint(X0) )
| ~ spl54_913 ),
inference(forward_subsumption_resolution,[],[f19466,f440]) ).
fof(f19533,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK12(X2,X0))
| vangle(sK1,sK5,X0) = vangle(sK6,sK5,X1)
| rR(sK5,X0,X1)
| ~ ron(X1,sK12(X2,X0))
| sK5 = X0
| sK5 = X1
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_985 ),
inference(resolution,[],[f19029,f987]) ).
fof(f19548,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK12(X2,X0))
| vangle(sK1,sK5,X0) = vangle(sK6,sK5,X1)
| rR(sK5,X0,X1)
| ~ ron(X1,sK12(X2,X0))
| sK5 = X0
| sK5 = X1
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_985 ),
inference(duplicate_literal_removal,[],[f19533]) ).
fof(f19556,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,sK12(X2,X0))
| ~ rpoint(X1)
| vangle(sK1,sK5,X0) = vangle(sK6,sK5,X1)
| rR(sK5,X0,X1)
| ~ rpoint(X0)
| sK5 = X0
| sK5 = X1
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_985 ),
inference(forward_subsumption_resolution,[],[f19548,f991]) ).
fof(f19630,plain,
( ron(sK5,sK12(sK1,vd1378))
| vd1378 = sK1
| ~ rpoint(vd1378)
| vd1378 = sK1
| ~ rpoint(vd1378)
| ~ rpoint(sK1)
| ~ spl54_913 ),
inference(resolution,[],[f19468,f987]) ).
fof(f19631,plain,
( ron(sK5,sK12(sK1,vd1378))
| vd1378 = sK1
| ~ rpoint(vd1378)
| ~ rpoint(sK1)
| ~ spl54_913 ),
inference(duplicate_literal_removal,[],[f19630]) ).
fof(f19632,plain,
( ron(sK5,sK12(sK1,vd1378))
| ~ rpoint(vd1378)
| ~ rpoint(sK1)
| spl54_13
| ~ spl54_913 ),
inference(forward_subsumption_resolution,[],[f19631,f1582]) ).
fof(f19633,plain,
( ron(sK5,sK12(sK1,vd1378))
| ~ rpoint(sK1)
| spl54_13
| ~ spl54_913 ),
inference(forward_subsumption_resolution,[],[f19632,f439]) ).
fof(f19634,plain,
( ron(sK5,sK12(sK1,vd1378))
| spl54_13
| ~ spl54_913 ),
inference(forward_subsumption_resolution,[],[f19633,f440]) ).
fof(f19647,plain,
( rR(sK1,sK5,vd1378)
| rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| vd1378 = sK5
| vd1378 = sK1
| sK1 = sK5
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| spl54_13
| ~ spl54_913 ),
inference(resolution,[],[f19634,f17916]) ).
fof(f19667,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| vd1378 = sK5
| vd1378 = sK1
| sK1 = sK5
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| spl54_13
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19647,f19192]) ).
fof(f19718,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| vd1378 = sK1
| sK1 = sK5
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19667,f1592]) ).
fof(f19731,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| sK1 = sK5
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19718,f1582]) ).
fof(f19747,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| ~ rpoint(vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19731,f708]) ).
fof(f19759,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19747,f439]) ).
fof(f19776,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| ~ rpoint(sK1)
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19759,f461]) ).
fof(f19780,plain,
( rR(vd1378,sK1,sK5)
| rR(sK5,sK1,vd1378)
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(forward_subsumption_resolution,[],[f19776,f440]) ).
fof(f19785,definition,
( spl54_1011
<=> rR(sK5,sK1,vd1378) ),
introduced(definition,[new_symbols(definition,[spl54_1011])],[avatar_definition]) ).
fof(f19786,plain,
( ~ rR(sK5,sK1,vd1378)
| spl54_1011 ),
inference(avatar_component_clause,[],[f19785]) ).
fof(f19787,plain,
( rR(sK5,sK1,vd1378)
| ~ spl54_1011 ),
inference(avatar_component_clause,[],[f19785]) ).
fof(f19789,definition,
( spl54_1012
<=> rR(vd1378,sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_1012])],[avatar_definition]) ).
fof(f19791,plain,
( rR(vd1378,sK1,sK5)
| ~ spl54_1012 ),
inference(avatar_component_clause,[],[f19789]) ).
fof(f19792,plain,
( spl54_1011
| spl54_1012
| spl54_13
| spl54_15
| ~ spl54_913
| spl54_987 ),
inference(avatar_split_clause,[],[f19780,f19190,f17554,f1591,f1581,f19789,f19785]) ).
fof(f19797,plain,
( rR(sK5,sK1,sK6)
| ~ rpoint(sK5)
| ~ spl54_1011 ),
inference(resolution,[],[f19787,f2684]) ).
fof(f19810,plain,
( ~ rpoint(sK5)
| spl54_984
| ~ spl54_1011 ),
inference(forward_subsumption_resolution,[],[f19797,f19025]) ).
fof(f19815,plain,
( $false
| spl54_984
| ~ spl54_1011 ),
inference(forward_subsumption_resolution,[],[f19810,f461]) ).
fof(f19816,plain,
( spl54_984
| ~ spl54_1011 ),
inference(avatar_contradiction_clause,[],[f19815]) ).
fof(f20260,definition,
( spl54_1029
<=> rR(vd1378,sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_1029])],[avatar_definition]) ).
fof(f20261,plain,
( rR(vd1378,sK6,sK5)
| ~ spl54_1029 ),
inference(avatar_component_clause,[],[f20260]) ).
fof(f20262,plain,
( ~ rR(vd1378,sK6,sK5)
| spl54_1029 ),
inference(avatar_component_clause,[],[f20260]) ).
fof(f20484,plain,
( vangle(sK6,sK5,sK1) = vangle(sK6,sK5,sK6)
| sK1 = sK5
| sK5 = sK6
| ~ rpoint(sK5)
| spl54_984 ),
inference(resolution,[],[f18249,f19025]) ).
fof(f20496,plain,
( vangle(sK6,sK5,sK1) = vangle(sK6,sK5,sK6)
| sK5 = sK6
| ~ rpoint(sK5)
| spl54_984 ),
inference(forward_subsumption_resolution,[],[f20484,f708]) ).
fof(f20503,plain,
( vangle(sK6,sK5,sK1) = vangle(sK6,sK5,sK6)
| ~ rpoint(sK5)
| spl54_984 ),
inference(forward_subsumption_resolution,[],[f20496,f710]) ).
fof(f20510,plain,
( vangle(sK6,sK5,sK1) = vangle(sK6,sK5,sK6)
| spl54_984 ),
inference(forward_subsumption_resolution,[],[f20503,f461]) ).
fof(f20513,plain,
( vd684 = vangle(sK6,sK5,sK1)
| spl54_984 ),
inference(forward_demodulation,[],[f20510,f2367]) ).
fof(f20515,plain,
( vd684 = vangle(sK6,sK1,sK5)
| spl54_984 ),
inference(forward_demodulation,[],[f20513,f707]) ).
fof(f20516,plain,
( $false
| spl54_914
| spl54_984 ),
inference(forward_subsumption_resolution,[],[f20515,f17559]) ).
fof(f20517,plain,
( spl54_914
| spl54_984 ),
inference(avatar_contradiction_clause,[],[f20516]) ).
fof(f20520,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_984
| ~ spl54_988 ),
inference(forward_subsumption_resolution,[],[f19347,f19026]) ).
fof(f20521,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_984
| ~ spl54_988 ),
inference(forward_subsumption_resolution,[],[f20520,f463]) ).
fof(f20522,plain,
( ~ rpoint(sK1)
| ~ spl54_984
| ~ spl54_988 ),
inference(forward_subsumption_resolution,[],[f20521,f461]) ).
fof(f20523,plain,
( $false
| ~ spl54_984
| ~ spl54_988 ),
inference(forward_subsumption_resolution,[],[f20522,f440]) ).
fof(f20524,plain,
( ~ spl54_984
| ~ spl54_988 ),
inference(avatar_contradiction_clause,[],[f20523]) ).
fof(f20527,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK1 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f2632,f17558]) ).
fof(f20533,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f20527,f708]) ).
fof(f20539,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f20533,f710]) ).
fof(f20543,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f20539,f440]) ).
fof(f20545,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f20543,f463]) ).
fof(f20547,plain,
( ! [X0] :
( ~ rR(sK5,sK6,sK1)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0) )
| ~ spl54_914 ),
inference(forward_subsumption_resolution,[],[f20545,f461]) ).
fof(f20549,plain,
( spl54_927
| ~ spl54_997
| ~ spl54_914 ),
inference(avatar_split_clause,[],[f20547,f17557,f19335,f17647]) ).
fof(f20573,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| sK1 = sK5
| sK1 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK1) )
| ~ spl54_914 ),
inference(superposition,[],[f814,f17558]) ).
fof(f20574,plain,
( ! [X0] :
( ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| sK1 = sK5
| sK1 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK1) )
| ~ spl54_914 ),
inference(trivial_inequality_removal,[],[f20573]) ).
fof(f20639,plain,
( rR(sK5,sK6,sK1)
| ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_984 ),
inference(resolution,[],[f19026,f890]) ).
fof(f20647,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_984
| spl54_997 ),
inference(forward_subsumption_resolution,[],[f20639,f19336]) ).
fof(f20652,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ spl54_984
| spl54_997 ),
inference(forward_subsumption_resolution,[],[f20647,f463]) ).
fof(f20657,plain,
( ~ rpoint(sK1)
| ~ spl54_984
| spl54_997 ),
inference(forward_subsumption_resolution,[],[f20652,f461]) ).
fof(f20660,plain,
( $false
| ~ spl54_984
| spl54_997 ),
inference(forward_subsumption_resolution,[],[f20657,f440]) ).
fof(f20661,plain,
( ~ spl54_984
| spl54_997 ),
inference(avatar_contradiction_clause,[],[f20660]) ).
fof(f20717,plain,
( ! [X0] :
( ~ rline(sK12(sK6,X0))
| ~ ron(sK5,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl54_927 ),
inference(resolution,[],[f17648,f989]) ).
fof(f20720,plain,
( ! [X0] :
( ~ ron(sK5,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| ~ spl54_927 ),
inference(forward_subsumption_resolution,[],[f20717,f991]) ).
fof(f20723,plain,
( ! [X0] :
( ~ ron(sK5,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0) )
| ~ spl54_927 ),
inference(forward_subsumption_resolution,[],[f20720,f463]) ).
fof(f20834,plain,
( rR(sK5,sK6,sK1)
| ~ spl54_15 ),
inference(superposition,[],[f704,f1593]) ).
fof(f20961,plain,
( sK5 = sK6
| ~ rpoint(sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_927 ),
inference(resolution,[],[f20723,f987]) ).
fof(f20962,plain,
( sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_927 ),
inference(duplicate_literal_removal,[],[f20961]) ).
fof(f20963,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ spl54_927 ),
inference(forward_subsumption_resolution,[],[f20962,f710]) ).
fof(f20964,plain,
( ~ rpoint(sK6)
| ~ spl54_927 ),
inference(forward_subsumption_resolution,[],[f20963,f461]) ).
fof(f20965,plain,
( $false
| ~ spl54_927 ),
inference(forward_subsumption_resolution,[],[f20964,f463]) ).
fof(f20966,plain,
~ spl54_927,
inference(avatar_contradiction_clause,[],[f20965]) ).
fof(f20969,plain,
( $false
| ~ spl54_15
| spl54_997 ),
inference(forward_subsumption_resolution,[],[f20834,f19336]) ).
fof(f20970,plain,
( ~ spl54_15
| spl54_997 ),
inference(avatar_contradiction_clause,[],[f20969]) ).
fof(f21585,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| sK1 = sK5
| sK1 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK1) )
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f20574,f17652]) ).
fof(f21590,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| sK1 = sK6
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK1) )
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21585,f708]) ).
fof(f21593,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK1) )
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21590,f709]) ).
fof(f21596,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK1) )
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21593,f461]) ).
fof(f21599,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21596,f463]) ).
fof(f21602,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21599,f440]) ).
fof(f21654,plain,
( ~ ron(sK1,sK4(sK5,sK6,sK1))
| ~ rline(sK4(sK5,sK6,sK1))
| ~ spl54_607
| ~ spl54_914
| ~ spl54_928 ),
inference(resolution,[],[f21602,f12365]) ).
fof(f21661,plain,
( ~ rline(sK4(sK5,sK6,sK1))
| ~ spl54_564
| ~ spl54_607
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21654,f11654]) ).
fof(f21664,plain,
( $false
| ~ spl54_564
| ~ spl54_607
| ~ spl54_887
| ~ spl54_914
| ~ spl54_928 ),
inference(forward_subsumption_resolution,[],[f21661,f17217]) ).
fof(f21665,plain,
( ~ spl54_564
| ~ spl54_607
| ~ spl54_887
| ~ spl54_914
| ~ spl54_928 ),
inference(avatar_contradiction_clause,[],[f21664]) ).
fof(f22288,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| rR(sK5,X1,X0)
| ~ rpoint(X1)
| sK5 = X1
| sK5 = X0
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_985 ),
inference(resolution,[],[f19556,f989]) ).
fof(f22303,plain,
( ! [X0,X1] :
( rR(sK5,X1,X0)
| vangle(sK6,sK5,X0) = vangle(sK1,sK5,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK5 = X1
| sK5 = X0
| X0 = X1 )
| ~ spl54_985 ),
inference(duplicate_literal_removal,[],[f22288]) ).
fof(f22325,plain,
( vangle(sK1,sK5,sK1) = vangle(sK6,sK5,vd1378)
| ~ rpoint(vd1378)
| ~ rpoint(sK1)
| sK1 = sK5
| vd1378 = sK5
| vd1378 = sK1
| ~ spl54_985
| spl54_1011 ),
inference(resolution,[],[f22303,f19786]) ).
fof(f22367,plain,
( vangle(sK1,sK5,sK1) = vangle(sK6,sK5,vd1378)
| ~ rpoint(sK1)
| sK1 = sK5
| vd1378 = sK5
| vd1378 = sK1
| ~ spl54_985
| spl54_1011 ),
inference(forward_subsumption_resolution,[],[f22325,f439]) ).
fof(f22376,plain,
( vangle(sK1,sK5,sK1) = vangle(sK6,sK5,vd1378)
| sK1 = sK5
| vd1378 = sK5
| vd1378 = sK1
| ~ spl54_985
| spl54_1011 ),
inference(forward_subsumption_resolution,[],[f22367,f440]) ).
fof(f22383,plain,
( vangle(sK1,sK5,sK1) = vangle(sK6,sK5,vd1378)
| vd1378 = sK5
| vd1378 = sK1
| ~ spl54_985
| spl54_1011 ),
inference(forward_subsumption_resolution,[],[f22376,f708]) ).
fof(f22388,plain,
( vangle(sK1,sK5,sK1) = vangle(sK6,sK5,vd1378)
| vd1378 = sK1
| spl54_15
| ~ spl54_985
| spl54_1011 ),
inference(forward_subsumption_resolution,[],[f22383,f1592]) ).
fof(f22393,plain,
( vangle(sK1,sK5,sK1) = vangle(sK6,sK5,vd1378)
| spl54_13
| spl54_15
| ~ spl54_985
| spl54_1011 ),
inference(forward_subsumption_resolution,[],[f22388,f1582]) ).
fof(f22398,plain,
( vd684 = vangle(sK6,sK5,vd1378)
| spl54_13
| spl54_15
| ~ spl54_985
| spl54_1011 ),
inference(forward_demodulation,[],[f22393,f2368]) ).
fof(f22403,plain,
( $false
| spl54_13
| spl54_15
| spl54_918
| ~ spl54_985
| spl54_1011 ),
inference(forward_subsumption_resolution,[],[f22398,f17576]) ).
fof(f22404,plain,
( spl54_13
| spl54_15
| spl54_918
| ~ spl54_985
| spl54_1011 ),
inference(avatar_contradiction_clause,[],[f22403]) ).
fof(f22421,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| vd1378 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_918 ),
inference(superposition,[],[f810,f17575]) ).
fof(f22422,plain,
( ! [X0] :
( vd684 != vd684
| ron(vd1378,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| vd1378 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_918 ),
inference(superposition,[],[f814,f17575]) ).
fof(f22423,plain,
( ! [X0] :
( ron(vd1378,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| vd1378 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_918 ),
inference(trivial_inequality_removal,[],[f22422]) ).
fof(f22424,plain,
( ! [X0] :
( ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| vd1378 = sK5
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| ~ spl54_918 ),
inference(trivial_inequality_removal,[],[f22421]) ).
fof(f22425,plain,
( ! [X0] :
( ron(vd1378,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22423,f1592]) ).
fof(f22426,plain,
( ! [X0] :
( ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| sK5 = sK6
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22424,f1592]) ).
fof(f22435,plain,
( ! [X0] :
( ron(vd1378,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22425,f710]) ).
fof(f22436,plain,
( ! [X0] :
( ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22426,f710]) ).
fof(f22445,plain,
( ! [X0] :
( ron(vd1378,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22435,f439]) ).
fof(f22446,plain,
( ! [X0] :
( ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK6)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22436,f439]) ).
fof(f22455,plain,
( ! [X0] :
( ron(vd1378,X0)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22445,f463]) ).
fof(f22456,plain,
( ! [X0] :
( ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0)
| ~ rpoint(sK5) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22446,f463]) ).
fof(f22465,plain,
( ! [X0] :
( ~ ron(sK6,X0)
| ron(vd1378,X0)
| ~ ron(sK5,X0)
| ~ rline(X0) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22455,f461]) ).
fof(f22466,plain,
( ! [X0] :
( ~ rR(sK5,sK6,vd1378)
| ~ ron(sK6,X0)
| ~ ron(sK5,X0)
| ~ rline(X0) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22456,f461]) ).
fof(f22476,definition,
( spl54_1067
<=> rR(sK5,sK6,vd1378) ),
introduced(definition,[new_symbols(definition,[spl54_1067])],[avatar_definition]) ).
fof(f22478,plain,
( ~ rR(sK5,sK6,vd1378)
| spl54_1067 ),
inference(avatar_component_clause,[],[f22476]) ).
fof(f22479,plain,
( spl54_927
| ~ spl54_1067
| spl54_15
| ~ spl54_918 ),
inference(avatar_split_clause,[],[f22466,f17574,f1591,f22476,f17647]) ).
fof(f22762,plain,
( ! [X0] :
( ron(vd1378,sK12(sK6,X0))
| ~ ron(sK5,sK12(sK6,X0))
| ~ rline(sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl54_15
| ~ spl54_918 ),
inference(resolution,[],[f22465,f989]) ).
fof(f22765,plain,
( ! [X0] :
( ron(vd1378,sK12(sK6,X0))
| ~ ron(sK5,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0)
| ~ rpoint(sK6) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22762,f991]) ).
fof(f22767,plain,
( ! [X0] :
( ~ ron(sK5,sK12(sK6,X0))
| ron(vd1378,sK12(sK6,X0))
| sK6 = X0
| ~ rpoint(X0) )
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22765,f463]) ).
fof(f22769,plain,
( ron(vd1378,sK12(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_15
| ~ spl54_918 ),
inference(resolution,[],[f22767,f987]) ).
fof(f22770,plain,
( ron(vd1378,sK12(sK6,sK5))
| sK5 = sK6
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_15
| ~ spl54_918 ),
inference(duplicate_literal_removal,[],[f22769]) ).
fof(f22771,plain,
( ron(vd1378,sK12(sK6,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22770,f710]) ).
fof(f22772,plain,
( ron(vd1378,sK12(sK6,sK5))
| ~ rpoint(sK6)
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22771,f461]) ).
fof(f22773,plain,
( ron(vd1378,sK12(sK6,sK5))
| spl54_15
| ~ spl54_918 ),
inference(forward_subsumption_resolution,[],[f22772,f463]) ).
fof(f22774,plain,
( spl54_978
| spl54_15
| ~ spl54_918 ),
inference(avatar_split_clause,[],[f22773,f17574,f1591,f18965]) ).
fof(f22785,plain,
( rR(sK6,vd1378,sK5)
| rR(sK5,sK6,vd1378)
| rR(vd1378,sK6,sK5)
| vd1378 = sK5
| sK5 = sK6
| vd1378 = sK6
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ spl54_978 ),
inference(resolution,[],[f18966,f17916]) ).
fof(f22872,plain,
( rR(sK6,vd1378,sK5)
| rR(vd1378,sK6,sK5)
| vd1378 = sK5
| sK5 = sK6
| vd1378 = sK6
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ spl54_978
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22785,f22478]) ).
fof(f22874,plain,
( rR(sK6,vd1378,sK5)
| vd1378 = sK5
| sK5 = sK6
| vd1378 = sK6
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22872,f20262]) ).
fof(f22876,plain,
( rR(sK6,vd1378,sK5)
| sK5 = sK6
| vd1378 = sK6
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| spl54_15
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22874,f1592]) ).
fof(f22878,plain,
( rR(sK6,vd1378,sK5)
| vd1378 = sK6
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| spl54_15
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22876,f710]) ).
fof(f22880,definition,
( spl54_1073
<=> rR(sK6,vd1378,sK5) ),
introduced(definition,[new_symbols(definition,[spl54_1073])],[avatar_definition]) ).
fof(f22882,plain,
( rR(sK6,vd1378,sK5)
| ~ spl54_1073 ),
inference(avatar_component_clause,[],[f22880]) ).
fof(f22887,plain,
( rR(sK6,vd1378,sK5)
| ~ rpoint(sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22878,f3973]) ).
fof(f22888,plain,
( rR(sK6,vd1378,sK5)
| ~ rpoint(vd1378)
| ~ rpoint(sK6)
| spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22887,f461]) ).
fof(f22889,plain,
( rR(sK6,vd1378,sK5)
| ~ rpoint(sK6)
| spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22888,f439]) ).
fof(f22890,plain,
( rR(sK6,vd1378,sK5)
| spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(forward_subsumption_resolution,[],[f22889,f463]) ).
fof(f22891,plain,
( spl54_1073
| spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(avatar_split_clause,[],[f22890,f22476,f20260,f18965,f3972,f1591,f22880]) ).
fof(f22898,plain,
( vf(vd1378,sK5) = vplus(vf(vd1378,sK6),vf(sK6,sK5))
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(vd1378)
| ~ spl54_1073 ),
inference(resolution,[],[f22882,f981]) ).
fof(f22903,plain,
( vf(vd1378,sK5) = vplus(vf(vd1378,sK6),vf(sK6,sK5))
| ~ rpoint(sK6)
| ~ rpoint(vd1378)
| ~ spl54_1073 ),
inference(forward_subsumption_resolution,[],[f22898,f461]) ).
fof(f22907,plain,
( vf(vd1378,sK5) = vplus(vf(vd1378,sK6),vf(sK6,sK5))
| ~ rpoint(vd1378)
| ~ spl54_1073 ),
inference(forward_subsumption_resolution,[],[f22903,f463]) ).
fof(f22911,plain,
( vf(vd1378,sK5) = vplus(vf(vd1378,sK6),vf(sK6,sK5))
| ~ spl54_1073 ),
inference(forward_subsumption_resolution,[],[f22907,f439]) ).
fof(f22913,plain,
( vf(vd1378,sK5) = vplus(vf(vd1378,sK6),sK11(sK6,sK5))
| ~ spl54_1073 ),
inference(forward_demodulation,[],[f22911,f3457]) ).
fof(f22914,plain,
( vf(vd1378,sK5) = vplus(vf(sK6,vd1378),sK11(sK6,sK5))
| ~ spl54_1073 ),
inference(forward_demodulation,[],[f22913,f1712]) ).
fof(f22915,plain,
( vf(vd1378,sK5) = vplus(sK11(sK6,vd1378),sK11(sK6,sK5))
| ~ spl54_1073 ),
inference(forward_demodulation,[],[f22914,f3454]) ).
fof(f22916,plain,
( vf(vd1378,sK5) = sF53
| ~ spl54_1073 ),
inference(forward_demodulation,[],[f22915,f4074]) ).
fof(f22917,plain,
( sF52 = sF53
| ~ spl54_1073 ),
inference(forward_demodulation,[],[f22916,f1502]) ).
fof(f22918,plain,
( $false
| ~ spl54_1073 ),
inference(forward_subsumption_resolution,[],[f22917,f1505]) ).
fof(f22919,plain,
~ spl54_1073,
inference(avatar_contradiction_clause,[],[f22918]) ).
fof(f22920,plain,
( ~ rR(vd1378,sK1,sK5)
| ~ rpoint(sK5)
| ~ spl54_1029 ),
inference(resolution,[],[f20261,f7012]) ).
fof(f22934,plain,
( ~ rpoint(sK5)
| ~ spl54_1012
| ~ spl54_1029 ),
inference(forward_subsumption_resolution,[],[f22920,f19791]) ).
fof(f22940,plain,
( $false
| ~ spl54_1012
| ~ spl54_1029 ),
inference(forward_subsumption_resolution,[],[f22934,f461]) ).
fof(f22941,plain,
( ~ spl54_1012
| ~ spl54_1029 ),
inference(avatar_contradiction_clause,[],[f22940]) ).
cnf(s150,plain,
~ spl54_13,
inference(sat_conversion,[],[f3941]) ).
cnf(s161,plain,
~ spl54_144,
inference(sat_conversion,[],[f4157]) ).
cnf(s604,plain,
( spl54_564
| spl54_587 ),
inference(sat_conversion,[],[f11824]) ).
cnf(s628,plain,
( spl54_587
| spl54_607 ),
inference(sat_conversion,[],[f12366]) ).
cnf(s638,plain,
( spl54_13
| spl54_15
| ~ spl54_587 ),
inference(sat_conversion,[],[f12684]) ).
cnf(s969,plain,
( spl54_13
| spl54_913
| ~ spl54_914 ),
inference(sat_conversion,[],[f17560]) ).
cnf(s983,plain,
( spl54_587
| spl54_887 ),
inference(sat_conversion,[],[f17700]) ).
cnf(s1032,plain,
( spl54_973
| ~ spl54_974 ),
inference(sat_conversion,[],[f18708]) ).
cnf(s1039,plain,
( spl54_974
| spl54_975 ),
inference(sat_conversion,[],[f18852]) ).
cnf(s1046,plain,
( ~ spl54_973
| spl54_984
| spl54_985 ),
inference(sat_conversion,[],[f19030]) ).
cnf(s1049,plain,
( spl54_973
| ~ spl54_975 ),
inference(sat_conversion,[],[f19045]) ).
cnf(s1052,plain,
( ~ spl54_975
| ~ spl54_984 ),
inference(sat_conversion,[],[f19107]) ).
cnf(s1054,plain,
( spl54_13
| spl54_15
| ~ spl54_914
| spl54_928
| ~ spl54_987 ),
inference(sat_conversion,[],[f19193]) ).
cnf(s1061,plain,
( spl54_914
| ~ spl54_973
| spl54_988 ),
inference(sat_conversion,[],[f19306]) ).
cnf(s1077,plain,
( spl54_13
| spl54_15
| ~ spl54_913
| spl54_987
| spl54_1011
| spl54_1012 ),
inference(sat_conversion,[],[f19792]) ).
cnf(s1081,plain,
( spl54_984
| ~ spl54_1011 ),
inference(sat_conversion,[],[f19816]) ).
cnf(s1105,plain,
( spl54_914
| spl54_984 ),
inference(sat_conversion,[],[f20517]) ).
cnf(s1107,plain,
( ~ spl54_984
| ~ spl54_988 ),
inference(sat_conversion,[],[f20524]) ).
cnf(s1109,plain,
( ~ spl54_914
| spl54_927
| ~ spl54_997 ),
inference(sat_conversion,[],[f20549]) ).
cnf(s1111,plain,
( ~ spl54_984
| spl54_997 ),
inference(sat_conversion,[],[f20661]) ).
cnf(s1138,plain,
~ spl54_927,
inference(sat_conversion,[],[f20966]) ).
cnf(s1139,plain,
( ~ spl54_15
| spl54_997 ),
inference(sat_conversion,[],[f20970]) ).
cnf(s1151,plain,
( ~ spl54_564
| ~ spl54_607
| ~ spl54_887
| ~ spl54_914
| ~ spl54_928 ),
inference(sat_conversion,[],[f21665]) ).
cnf(s1175,plain,
( spl54_13
| spl54_15
| spl54_918
| ~ spl54_985
| spl54_1011 ),
inference(sat_conversion,[],[f22404]) ).
cnf(s1178,plain,
( spl54_15
| ~ spl54_918
| spl54_927
| ~ spl54_1067 ),
inference(sat_conversion,[],[f22479]) ).
cnf(s1183,plain,
( spl54_15
| ~ spl54_918
| spl54_978 ),
inference(sat_conversion,[],[f22774]) ).
cnf(s1186,plain,
( spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067
| spl54_1073 ),
inference(sat_conversion,[],[f22891]) ).
cnf(s1187,plain,
~ spl54_1073,
inference(sat_conversion,[],[f22919]) ).
cnf(s1188,plain,
( ~ spl54_1012
| ~ spl54_1029 ),
inference(sat_conversion,[],[f22941]) ).
cnf(s1190,plain,
( spl54_15
| spl54_144
| ~ spl54_978
| spl54_1029
| spl54_1067 ),
inference(rat,[],[s1186,s1187]) ).
cnf(s1194,plain,
( ~ spl54_914
| ~ spl54_997 ),
inference(rat,[],[s1109,s1138]) ).
cnf(s1426,plain,
spl54_914,
inference(rat,[],[s1032,s1039,s1061,s1052,s1107,s1105]) ).
cnf(s1427,plain,
~ spl54_997,
inference(rat,[],[s1194,s1426]) ).
cnf(s1429,plain,
spl54_913,
inference(rat,[],[s969,s150,s1426]) ).
cnf(s1430,plain,
~ spl54_984,
inference(rat,[],[s1111,s1427]) ).
cnf(s1437,plain,
~ spl54_1011,
inference(rat,[],[s1081,s1430]) ).
cnf(s1438,plain,
spl54_973,
inference(rat,[],[s1039,s1032,s1049]) ).
cnf(s1440,plain,
spl54_985,
inference(rat,[],[s1046,s1430,s1438]) ).
cnf(s1441,plain,
( spl54_15
| spl54_987 ),
inference(rat,[],[s1190,s1178,s1183,s1175,s1188,s1077,s1429,s1437,s150,s1440,s1138,s161]) ).
cnf(s1442,plain,
( spl54_928
| spl54_15 ),
inference(rat,[],[s1441,s1054,s1426,s150]) ).
cnf(s1443,plain,
spl54_15,
inference(rat,[],[s1442,s1151,s604,s628,s983,s638,s1426,s150]) ).
cnf(s1444,plain,
$false,
inference(rat,[],[s1139,s1427,s1443]) ).
fof(f22952,plain,
$false,
inference(avatar_sat_refutation,[],[s1444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO338+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 % Computer : n007.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8046.5625MB
% 0.12/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Sun Sep 27 08:05:51 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 12.95/2.94 % (1090695)Detected formulas, will run a generic FOF schedule.
% 12.95/2.94 % (1090701)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=1737864268:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.95/2.94 % (1090706)dis-21_1_sil=8000:lcm=predicate:random_seed=604678412:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.95/2.94 % (1090703)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=60561:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.95/2.94 % (1090704)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3314260899:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.95/2.94 % (1090700)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=281044915:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.95/2.94 % (1090702)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=3038150994:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.95/2.94 % (1090705)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2224869181:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.95/2.94 % (1090703)Refutation not found, incomplete strategy
% 12.95/2.94 % (1090703)------------------------------
% 12.95/2.94 % (1090703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/2.94 % (1090703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/2.94 % (1090703)CaDiCaL version: 2.1.3
% 12.95/2.94 % (1090703)Termination reason: Refutation not found, incomplete strategy
% 12.95/2.94 % (1090703)Time elapsed: 0.003 s
% 12.95/2.94 % (1090703)Peak memory usage: 88 MB
% 12.95/2.94 % (1090703)Instructions burned: 2 (million)
% 12.95/2.94 % (1090706)Instruction limit reached!
% 12.95/2.94 % (1090706)------------------------------
% 12.95/2.94 % (1090706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/2.94 % (1090706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/2.94 % (1090706)CaDiCaL version: 2.1.3
% 12.95/2.94 % (1090706)Termination reason: Instruction limit
% 12.95/2.94 % (1090706)Termination phase: Saturation
% 12.95/2.94 % (1090706)Time elapsed: 0.055 s
% 12.95/2.94 % (1090706)Peak memory usage: 89 MB
% 12.95/2.94 % (1090706)Instructions burned: 129 (million)
% 12.95/2.94 % (1090704)Instruction limit reached!
% 12.95/2.94 % (1090704)------------------------------
% 12.95/2.94 % (1090704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/2.94 % (1090704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/2.94 % (1090704)CaDiCaL version: 2.1.3
% 12.95/2.94 % (1090704)Termination reason: Instruction limit
% 12.95/2.94 % (1090704)Termination phase: Saturation
% 12.95/2.94 % (1090704)Time elapsed: 0.058 s
% 12.95/2.94 % (1090704)Peak memory usage: 88 MB
% 12.95/2.94 % (1090704)Instructions burned: 121 (million)
% 12.95/2.94 % (1090705)Instruction limit reached!
% 12.95/2.94 % (1090705)------------------------------
% 12.95/2.94 % (1090705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/2.94 % (1090705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/2.94 % (1090705)CaDiCaL version: 2.1.3
% 12.95/2.94 % (1090705)Termination reason: Instruction limit
% 12.95/2.94 % (1090705)Termination phase: Saturation
% 12.95/2.94 % (1090705)Time elapsed: 0.083 s
% 12.95/2.94 % (1090705)Peak memory usage: 90 MB
% 12.95/2.94 % (1090705)Instructions burned: 139 (million)
% 12.95/2.94 % (1090715)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3095120056:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.95/2.94 % (1090714)lrs+10_1_sil=8000:sp=occurrence:random_seed=669769006:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.95/2.94 % (1090715)Refutation not found, incomplete strategy
% 12.95/2.94 % (1090715)------------------------------
% 12.95/2.94 % (1090715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/2.94 % (1090715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/2.94 % (1090715)CaDiCaL version: 2.1.3
% 12.95/2.94 % (1090715)Termination reason: Refutation not found, incomplete strategy
% 20.65/3.89 % (1090715)Time elapsed: 0.004 s
% 20.65/3.89 % (1090715)Peak memory usage: 89 MB
% 20.65/3.89 % (1090715)Instructions burned: 4 (million)
% 20.65/3.89 % (1090716)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2275809779:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 20.65/3.89 % (1090703)------------------------------
% 20.65/3.89 % (1090703)------------------------------
% 20.65/3.89 % (1090714)Instruction limit reached!
% 20.65/3.89 % (1090714)------------------------------
% 20.65/3.89 % (1090714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090714)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090714)Termination reason: Instruction limit
% 20.65/3.89 % (1090714)Termination phase: Saturation
% 20.65/3.89 % (1090714)Time elapsed: 0.153 s
% 20.65/3.89 % (1090714)Peak memory usage: 92 MB
% 20.65/3.89 % (1090714)Instructions burned: 286 (million)
% 20.65/3.89 % (1090716)Instruction limit reached!
% 20.65/3.89 % (1090716)------------------------------
% 20.65/3.89 % (1090716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090716)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090716)Termination reason: Instruction limit
% 20.65/3.89 % (1090716)Termination phase: Saturation
% 20.65/3.89 % (1090716)Time elapsed: 0.169 s
% 20.65/3.89 % (1090716)Peak memory usage: 91 MB
% 20.65/3.89 % (1090716)Instructions burned: 326 (million)
% 20.65/3.89 % (1090720)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=2604910947:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.65/3.89 % (1090715)------------------------------
% 20.65/3.89 % (1090715)------------------------------
% 20.65/3.89 % (1090721)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3546018519:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 20.65/3.89 % (1090720)Instruction limit reached!
% 20.65/3.89 % (1090720)------------------------------
% 20.65/3.89 % (1090720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090720)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090720)Termination reason: Instruction limit
% 20.65/3.89 % (1090720)Termination phase: Saturation
% 20.65/3.89 % (1090720)Time elapsed: 0.120 s
% 20.65/3.89 % (1090720)Peak memory usage: 92 MB
% 20.65/3.89 % (1090720)Instructions burned: 249 (million)
% 20.65/3.89 % (1090722)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1901324221:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.65/3.89 % (1090724)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3025528454:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.65/3.89 % (1090721)Instruction limit reached!
% 20.65/3.89 % (1090721)------------------------------
% 20.65/3.89 % (1090721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090721)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090721)Termination reason: Instruction limit
% 20.65/3.89 % (1090721)Termination phase: Saturation
% 20.65/3.89 % (1090721)Time elapsed: 0.148 s
% 20.65/3.89 % (1090721)Peak memory usage: 89 MB
% 20.65/3.89 % (1090721)Instructions burned: 294 (million)
% 20.65/3.89 % (1090724)Instruction limit reached!
% 20.65/3.89 % (1090724)------------------------------
% 20.65/3.89 % (1090724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090724)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090724)Termination reason: Instruction limit
% 20.65/3.89 % (1090724)Termination phase: Saturation
% 20.65/3.89 % (1090724)Time elapsed: 0.057 s
% 20.65/3.89 % (1090724)Peak memory usage: 90 MB
% 20.65/3.89 % (1090724)Instructions burned: 114 (million)
% 20.65/3.89 % (1090726)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2842133928:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 20.65/3.89 % (1090726)Refutation not found, incomplete strategy
% 20.65/3.89 % (1090726)------------------------------
% 20.65/3.89 % (1090726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090726)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090726)Termination reason: Refutation not found, incomplete strategy
% 20.65/3.89 % (1090726)Time elapsed: 0.025 s
% 20.65/3.89 % (1090726)Peak memory usage: 89 MB
% 20.65/3.89 % (1090726)Instructions burned: 50 (million)
% 20.65/3.89 % (1090729)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=828880237:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 20.65/3.89 % (1090730)lrs+10_1_sil=8000:sp=occurrence:random_seed=78258500:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 20.65/3.89 % (1090729)Instruction limit reached!
% 20.65/3.89 % (1090729)------------------------------
% 20.65/3.89 % (1090729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090729)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090729)Termination reason: Instruction limit
% 20.65/3.89 % (1090729)Termination phase: Saturation
% 20.65/3.89 % (1090729)Time elapsed: 0.057 s
% 20.65/3.89 % (1090729)Peak memory usage: 89 MB
% 20.65/3.89 % (1090729)Instructions burned: 116 (million)
% 20.65/3.89 % (1090726)------------------------------
% 20.65/3.89 % (1090726)------------------------------
% 20.65/3.89 % (1090734)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=691477641:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 20.65/3.89 % (1090734)Refutation not found, incomplete strategy
% 20.65/3.89 % (1090734)------------------------------
% 20.65/3.89 % (1090734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090734)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090734)Termination reason: Refutation not found, incomplete strategy
% 20.65/3.89 % (1090734)Time elapsed: 0.017 s
% 20.65/3.89 % (1090734)Peak memory usage: 89 MB
% 20.65/3.89 % (1090734)Instructions burned: 31 (million)
% 20.65/3.89 % (1090735)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=636004585:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 20.65/3.89 % (1090734)------------------------------
% 20.65/3.89 % (1090734)------------------------------
% 20.65/3.89 % (1090730)Instruction limit reached!
% 20.65/3.89 % (1090730)------------------------------
% 20.65/3.89 % (1090730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090730)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090730)Termination reason: Instruction limit
% 20.65/3.89 % (1090730)Termination phase: Saturation
% 20.65/3.89 % (1090730)Time elapsed: 0.491 s
% 20.65/3.89 % (1090730)Peak memory usage: 98 MB
% 20.65/3.89 % (1090730)Instructions burned: 908 (million)
% 20.65/3.89 % (1090738)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1783046998:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 20.65/3.89 % (1090739)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1315792512:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 20.65/3.89 % (1090738)Instruction limit reached!
% 20.65/3.89 % (1090738)------------------------------
% 20.65/3.89 % (1090738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090738)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090738)Termination reason: Instruction limit
% 20.65/3.89 % (1090738)Termination phase: Saturation
% 20.65/3.89 % (1090738)Time elapsed: 0.063 s
% 20.65/3.89 % (1090738)Peak memory usage: 92 MB
% 20.65/3.89 % (1090738)Instructions burned: 135 (million)
% 20.65/3.89 % (1090742)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4205765181:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 20.65/3.89 % (1090739)Instruction limit reached!
% 20.65/3.89 % (1090739)------------------------------
% 20.65/3.89 % (1090739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090739)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090739)Termination reason: Instruction limit
% 20.65/3.89 % (1090739)Termination phase: Saturation
% 20.65/3.89 % (1090739)Time elapsed: 0.363 s
% 20.65/3.89 % (1090739)Peak memory usage: 97 MB
% 20.65/3.89 % (1090739)Instructions burned: 593 (million)
% 20.65/3.89 % (1090744)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=619537186:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 20.65/3.89 % (1090722)Instruction limit reached!
% 20.65/3.89 % (1090722)------------------------------
% 20.65/3.89 % (1090722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090722)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090722)Termination reason: Instruction limit
% 20.65/3.89 % (1090722)Termination phase: Saturation
% 20.65/3.89 % (1090722)Time elapsed: 1.473 s
% 20.65/3.89 % (1090722)Peak memory usage: 142 MB
% 20.65/3.89 % (1090722)Instructions burned: 2352 (million)
% 20.65/3.89 % (1090744)Instruction limit reached!
% 20.65/3.89 % (1090744)------------------------------
% 20.65/3.89 % (1090744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090744)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090744)Termination reason: Instruction limit
% 20.65/3.89 % (1090744)Termination phase: Saturation
% 20.65/3.89 % (1090744)Time elapsed: 0.060 s
% 20.65/3.89 % (1090744)Peak memory usage: 92 MB
% 20.65/3.89 % (1090744)Instructions burned: 127 (million)
% 20.65/3.89 % (1090746)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1694138987:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 20.65/3.89 % (1090747)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4021760795:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 20.65/3.89 % (1090747)Refutation not found, incomplete strategy
% 20.65/3.89 % (1090747)------------------------------
% 20.65/3.89 % (1090747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090747)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090747)Termination reason: Refutation not found, incomplete strategy
% 20.65/3.89 % (1090747)Time elapsed: 0.002 s
% 20.65/3.89 % (1090747)Peak memory usage: 88 MB
% 20.65/3.89 % (1090747)Instructions burned: 1 (million)
% 20.65/3.89 % (1090746)Instruction limit reached!
% 20.65/3.89 % (1090746)------------------------------
% 20.65/3.89 % (1090746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090746)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090746)Termination reason: Instruction limit
% 20.65/3.89 % (1090746)Termination phase: Saturation
% 20.65/3.89 % (1090746)Time elapsed: 0.079 s
% 20.65/3.89 % (1090746)Peak memory usage: 91 MB
% 20.65/3.89 % (1090746)Instructions burned: 134 (million)
% 20.65/3.89 % (1090750)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2799428147:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 20.65/3.89 % (1090750)Refutation not found, incomplete strategy
% 20.65/3.89 % (1090750)------------------------------
% 20.65/3.89 % (1090750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.89 % (1090750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.89 % (1090750)CaDiCaL version: 2.1.3
% 20.65/3.89 % (1090750)Termination reason: Refutation not found, incomplete strategy
% 20.65/3.89 % (1090750)Time elapsed: 0.006 s
% 20.65/3.89 % (1090750)Peak memory usage: 88 MB
% 20.65/3.89 % (1090750)Instructions burned: 9 (million)
% 20.65/3.89 % (1090747)------------------------------
% 20.65/3.89 % (1090747)------------------------------
% 20.65/3.89 % (1090700)First to succeed.
% 20.65/3.89 % (1090700)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1090695"
% 20.65/3.89 % (1090752)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=18498716:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 20.65/3.89 % (1090750)------------------------------
% 20.65/3.89 % (1090750)------------------------------
% 20.65/3.89 % (1090700)Refutation found. Thanks to Tanya!
% 20.65/3.89 % SZS status Theorem for theBenchmark
% 20.65/3.89 % SZS output start Proof for theBenchmark
% See solution above
% 21.73/4.08 % (1090700)------------------------------
% 21.73/4.08 % (1090700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.73/4.08 % (1090700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.73/4.08 % (1090700)CaDiCaL version: 2.1.3
% 21.73/4.08 % (1090700)Termination reason: Refutation
% 21.73/4.08 % (1090700)Time elapsed: 2.543 s
% 21.73/4.08 % (1090700)Peak memory usage: 153 MB
% 21.73/4.08 % (1090700)Instructions burned: 4278 (million)
% 21.73/4.08 % (1090700)------------------------------
% 21.73/4.08 % (1090700)------------------------------
% 21.73/4.08 % (1090695)Success in time 2.989 s
% 21.73/4.08 % Vampire exiting
%------------------------------------------------------------------------------