%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO351+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 : n008.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 09:52:34 AM UTC 2026
% Result : Theorem 91.78s 14.01s
% Output : Refutation 93.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 94
% Syntax : Number of formulae : 957 ( 113 unt; 67 def)
% Number of atoms : 5442 (1636 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 7725 (3240 ~;4162 |; 227 &)
% ( 76 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 77 ( 75 usr; 68 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-4 aty)
% Number of variables : 1490 ( 0 sgn1432 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vd1461 = vd1450,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(423), 1480, 0)') ).
fof(f2,negated_conjecture,
vd1461 != vd1450,
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vf(vd1448,vd1450) = vf(vd1459,vd1461),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(423), 1479, 0)') ).
fof(f5,axiom,
vd1459 = vd1448,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(421), 1473, 0)') ).
fof(f7,axiom,
( vf(vd1442,vd1443) = vf(vd1449,vd1450)
& vf(vd1441,vd1443) = vf(vd1448,vd1450)
& vf(vd1441,vd1442) = vf(vd1448,vd1449)
& ? [X0] :
( vd1450 = X0
& rpoint(X0) )
& ? [X1] :
( vd1449 = X1
& rpoint(X1) )
& ? [X2] :
( vd1448 = X2
& rpoint(X2) )
& vd1442 != vd1443
& vd1441 != vd1443
& vd1441 != vd1442
& ? [X3] :
( vd1443 = X3
& rpoint(X3) )
& ? [X4] :
( vd1442 = X4
& rpoint(X4) )
& ? [X5] :
( vd1441 = X5
& rpoint(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(conjunct2(plural(comma_conjunct2(418)))), 1457, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(418)))), 1456, 0), and(holds(conjunct1(plural(comma_conjunct2(418))), 1455, 0), and(qe(s3(plural(comma_conjunct2(418)))), and(qe(s2(plural(comma_conjunct2(418)))), and(qe(s1(plural(comma_conjunct2(418)))), and(pred(comma_conjunct1(418), 9), and(pred(comma_conjunct1(418), 8), and(pred(comma_conjunct1(418), 7), and(qe(s3(plural(418))), and(qe(s2(plural(418))), qe(s1(plural(418))))))))))))))') ).
fof(f11,axiom,
? [X0] :
( vd1461 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(420)))') ).
fof(f12,axiom,
? [X0] :
( vd1459 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(420)))') ).
fof(f13,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(f24,axiom,
! [X0,X1,X2] :
( ( vangle(X0,X1,X2) = vangle(X0,X2,X1)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vf(X0,X1) = vf(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(382), 0), 0)') ).
fof(f37,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof(f38,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( X2 = X3
& X0 != X2
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rpoint(vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof(f43,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(f44,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f45,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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f50,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(f51,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( rinside(X0,X2)
& X2 = X3
& rcircle(X3)
& X0 = X1
& rpoint(X1) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(f61,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f63,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(f64,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(f68,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(f75,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f77,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4] :
( ( vf(X2,X0) = vf(X2,X1)
& ron(X1,X4)
& ron(X0,X3)
& rcenter(X2,X4)
& rcenter(X2,X3)
& ? [X5] :
( X1 = X5
& rpoint(X5) )
& ? [X6] :
( X0 = X6
& rpoint(X6) ) )
=> X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f92,axiom,
! [X0,X1,X2,X3,X4] :
( ( rR(X2,X0,X1)
& ~ rinside(X2,X3)
& ( ron(X0,X3)
| rinside(X0,X3) )
& X3 = X4
& rcircle(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ( ~ ron(X1,X3)
& ~ ron(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f139,plain,
vd1461 != vd1450,
inference(flattening,[],[f2]) ).
fof(f140,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,[],[f13]) ).
fof(f141,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,[],[f140]) ).
fof(f144,plain,
! [X0,X1,X2] :
( vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f145,plain,
! [X0,X1,X2] :
( vf(X0,X1) = vf(X0,X2)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f144]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f174]) ).
fof(f182,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f183,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f182]) ).
fof(f184,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f185,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f187,plain,
! [X0,X1] :
( ? [X4] :
( vf(X0,X1) = X4
& rreal(X4) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f186]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f49]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f194]) ).
fof(f196,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,[],[f50]) ).
fof(f197,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,[],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f198]) ).
fof(f206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f206]) ).
fof(f214,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rinside(X0,X2)
| X2 != X3
| ~ rcircle(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f59]) ).
fof(f215,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rinside(X0,X2)
| X2 != X3
| ~ rcircle(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f214]) ).
fof(f218,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f219,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f218]) ).
fof(f222,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,[],[f63]) ).
fof(f223,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,[],[f222]) ).
fof(f224,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,[],[f64]) ).
fof(f225,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,[],[f224]) ).
fof(f232,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,[],[f68]) ).
fof(f233,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,[],[f232]) ).
fof(f245,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f255,plain,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ! [X5] :
( X1 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X0 != X6
| ~ rpoint(X6) ) ),
inference(flattening,[],[f254]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ( ~ ron(X0,X3)
& ~ rinside(X0,X3) )
| X3 != X4
| ~ rcircle(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ ron(X1,X3)
& ~ ron(X1,X3) )
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ( ~ ron(X0,X3)
& ~ rinside(X0,X3) )
| X3 != X4
| ~ rcircle(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f274]) ).
fof(f369,plain,
( vf(vd1442,vd1443) = vf(vd1449,vd1450)
& vf(vd1441,vd1443) = vf(vd1448,vd1450)
& vf(vd1441,vd1442) = vf(vd1448,vd1449)
& vd1450 = sK2
& rpoint(sK2)
& vd1449 = sK3
& rpoint(sK3)
& vd1448 = sK4
& rpoint(sK4)
& vd1442 != vd1443
& vd1441 != vd1443
& vd1441 != vd1442
& vd1443 = sK5
& rpoint(sK5)
& vd1442 = sK6
& rpoint(sK6)
& vd1441 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7)],[f7]) ).
fof(f372,plain,
( vd1461 = sK10
& rpoint(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f11]) ).
fof(f373,plain,
( vd1459 = sK11
& rpoint(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f12]) ).
fof(f374,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,[],[f141]) ).
fof(f375,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))],[f374]) ).
fof(f389,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f185]) ).
fof(f390,plain,
! [X0,X1] :
( ? [X2] :
( vf(X0,X1) = X2
& rreal(X2) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f187]) ).
fof(f391,plain,
! [X0,X1] :
( ( vf(X0,X1) = sK20(X0,X1)
& rreal(sK20(X0,X1)) )
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X2,sK20(X0,X1))],[f390]) ).
fof(f399,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f207]) ).
fof(f402,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& rcenter(X0,X2)
& rcircle(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f219]) ).
fof(f403,plain,
! [X0,X1] :
( ( ron(X1,sK26(X0,X1))
& rcenter(X0,sK26(X0,X1))
& rcircle(sK26(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f402]) ).
fof(f405,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( 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,[],[f225]) ).
fof(f406,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( 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,[],[f405]) ).
fof(f454,plain,
vd1461 != vd1450,
inference(cnf_transformation,[],[f139]) ).
fof(f455,plain,
vf(vd1448,vd1450) = vf(vd1459,vd1461),
inference(cnf_transformation,[],[f3]) ).
fof(f458,plain,
vd1448 = vd1459,
inference(cnf_transformation,[],[f5]) ).
fof(f469,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f369]) ).
fof(f470,plain,
vd1448 = sK4,
inference(cnf_transformation,[],[f369]) ).
fof(f473,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f369]) ).
fof(f474,plain,
vd1450 = sK2,
inference(cnf_transformation,[],[f369]) ).
fof(f483,plain,
rpoint(sK10),
inference(cnf_transformation,[],[f372]) ).
fof(f484,plain,
vd1461 = sK10,
inference(cnf_transformation,[],[f372]) ).
fof(f485,plain,
rpoint(sK11),
inference(cnf_transformation,[],[f373]) ).
fof(f486,plain,
vd1459 = sK11,
inference(cnf_transformation,[],[f373]) ).
fof(f487,plain,
! [X3,X0,X1,X4] :
( rline(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f375]) ).
fof(f488,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f375]) ).
fof(f489,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f375]) ).
fof(f502,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X2) = vf(X0,X1)
| vangle(X0,X1,X2) != vangle(X0,X2,X1)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f145]) ).
fof(f527,plain,
! [X2,X3,X0,X1] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f528,plain,
! [X2,X3,X0,X1] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f529,plain,
! [X2,X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f536,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f537,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f389]) ).
fof(f538,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f389]) ).
fof(f540,plain,
! [X3,X0,X1,X4] :
( vf(X0,X1) = sK20(X0,X1)
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f391]) ).
fof(f544,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f545,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,[],[f197]) ).
fof(f547,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,[],[f197]) ).
fof(f549,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f199]) ).
fof(f571,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f399]) ).
fof(f577,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,X2)
| ~ rinside(X0,X2)
| X2 != X3
| ~ rcircle(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f585,plain,
! [X3,X0,X1,X4] :
( rcircle(sK26(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f403]) ).
fof(f586,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK26(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f403]) ).
fof(f587,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK26(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f403]) ).
fof(f591,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,[],[f223]) ).
fof(f592,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| 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,[],[f406]) ).
fof(f593,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ 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,[],[f406]) ).
fof(f594,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| v0 != vangle(X2,X0,X4)
| ~ 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,[],[f406]) ).
fof(f599,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,[],[f233]) ).
fof(f613,plain,
v0 = vd684,
inference(cnf_transformation,[],[f75]) ).
fof(f615,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f623,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X1)
| ~ ron(X1,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| X1 != X5
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(cnf_transformation,[],[f255]) ).
fof(f637,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ~ rinside(X0,X3)
| X3 != X4
| ~ rcircle(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f275]) ).
fof(f638,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X3)
| ~ rR(X2,X0,X1)
| rinside(X2,X3)
| ~ ron(X0,X3)
| X3 != X4
| ~ rcircle(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f275]) ).
fof(f760,plain,
vd1448 = sK11,
inference(definition_unfolding,[],[f458,f486]) ).
fof(f761,plain,
sK2 != sK10,
inference(definition_unfolding,[],[f454,f484,f474]) ).
fof(f762,plain,
vf(sK11,sK2) = vf(sK11,sK10),
inference(definition_unfolding,[],[f455,f760,f474,f486,f484]) ).
fof(f768,plain,
sK4 = sK11,
inference(definition_unfolding,[],[f470,f760]) ).
fof(f784,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f538,f613]) ).
fof(f785,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f537,f613]) ).
fof(f786,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,[],[f594,f613]) ).
fof(f787,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,[],[f593,f613]) ).
fof(f788,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,[],[f592,f613]) ).
fof(f796,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f489]) ).
fof(f797,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f796]) ).
fof(f798,plain,
! [X3,X0,X4] :
( ron(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f488]) ).
fof(f799,plain,
! [X3,X4] :
( ron(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f798]) ).
fof(f800,plain,
! [X3,X0,X4] :
( rline(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f487]) ).
fof(f801,plain,
! [X3,X4] :
( rline(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f800]) ).
fof(f806,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X0,X3)
| vangle(X0,X1,X3) != vangle(X0,X3,X1)
| X1 = X3
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f502]) ).
fof(f807,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vf(X0,X4)
| vangle(X0,X4,X3) != vangle(X0,X3,X4)
| X3 = X4
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f806]) ).
fof(f808,plain,
! [X3,X4,X5] :
( vangle(X5,X3,X4) != vangle(X5,X4,X3)
| vf(X5,X3) = vf(X5,X4)
| X3 = X4
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f807]) ).
fof(f914,plain,
! [X3,X0,X1] :
( vf(X3,vskolem1052(X0,X1,X3,X3)) = vf(vskolem1052(X0,X1,X3,X3),X0)
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f527]) ).
fof(f915,plain,
! [X3,X1] :
( ~ rpoint(X1)
| X1 = X3
| ~ rpoint(X3)
| vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1) ),
inference(equality_resolution,[],[f914]) ).
fof(f916,plain,
! [X3,X0,X1] :
( vf(X0,X3) = vf(X3,vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f528]) ).
fof(f917,plain,
! [X3,X1] :
( ~ rpoint(X1)
| X1 = X3
| ~ rpoint(X3)
| vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3)) ),
inference(equality_resolution,[],[f916]) ).
fof(f918,plain,
! [X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f529]) ).
fof(f919,plain,
! [X3,X1] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f918]) ).
fof(f939,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f536]) ).
fof(f940,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f939]) ).
fof(f941,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f784]) ).
fof(f942,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f941]) ).
fof(f943,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f942]) ).
fof(f944,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f785]) ).
fof(f945,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f944]) ).
fof(f946,plain,
! [X3,X0,X4] :
( vf(X0,X3) = sK20(X0,X3)
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f540]) ).
fof(f947,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| vf(X4,X3) = sK20(X4,X3) ),
inference(equality_resolution,[],[f946]) ).
fof(f958,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f544]) ).
fof(f959,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f958]) ).
fof(f960,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f959]) ).
fof(f961,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f960]) ).
fof(f965,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,[],[f547]) ).
fof(f966,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f965]) ).
fof(f967,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f966]) ).
fof(f968,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f967]) ).
fof(f973,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,[],[f545]) ).
fof(f974,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f973]) ).
fof(f975,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f974]) ).
fof(f976,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f549]) ).
fof(f977,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f976]) ).
fof(f978,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f977]) ).
fof(f979,plain,
! [X6,X7,X4,X5] :
( ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| ~ rline(X4)
| X4 = X5
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f978]) ).
fof(f1038,plain,
! [X2,X3,X0,X1,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f571]) ).
fof(f1039,plain,
! [X2,X3,X1,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X1) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ron(X1,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1038]) ).
fof(f1052,plain,
! [X3,X0,X1] :
( ~ ron(X0,X3)
| ~ rinside(X0,X3)
| ~ rcircle(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f577]) ).
fof(f1053,plain,
! [X3,X1] :
( ~ rcircle(X3)
| ~ rinside(X1,X3)
| ~ ron(X1,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1052]) ).
fof(f1068,plain,
! [X3,X0,X4] :
( ron(X3,sK26(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f587]) ).
fof(f1069,plain,
! [X3,X4] :
( ron(X3,sK26(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1068]) ).
fof(f1070,plain,
! [X3,X0,X4] :
( rcenter(X0,sK26(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f586]) ).
fof(f1071,plain,
! [X3,X4] :
( rcenter(X4,sK26(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1070]) ).
fof(f1072,plain,
! [X3,X0,X4] :
( rcircle(sK26(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f585]) ).
fof(f1073,plain,
! [X3,X4] :
( rcircle(sK26(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1072]) ).
fof(f1080,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,[],[f591]) ).
fof(f1081,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,[],[f1080]) ).
fof(f1082,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,[],[f1081]) ).
fof(f1083,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,[],[f1082]) ).
fof(f1084,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,[],[f1083]) ).
fof(f1085,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,[],[f1084]) ).
fof(f1086,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rline(X7)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1085]) ).
fof(f1087,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,[],[f786]) ).
fof(f1088,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,[],[f1087]) ).
fof(f1089,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,[],[f1088]) ).
fof(f1090,plain,
! [X3,X1,X7,X5] :
( ~ 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,[],[f1089]) ).
fof(f1091,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,[],[f787]) ).
fof(f1092,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,[],[f1091]) ).
fof(f1093,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,[],[f1092]) ).
fof(f1094,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,[],[f1093]) ).
fof(f1095,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,[],[f788]) ).
fof(f1096,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,[],[f1095]) ).
fof(f1097,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,[],[f1096]) ).
fof(f1098,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| vd684 = vangle(X3,X1,X5)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1097]) ).
fof(f1116,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,[],[f599]) ).
fof(f1117,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,[],[f1116]) ).
fof(f1118,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,[],[f1117]) ).
fof(f1119,plain,
! [X6,X7,X4,X5] :
( ~ rline(X4)
| rR(X7,X6,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| rR(X6,X7,X5)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1118]) ).
fof(f1169,plain,
! [X2,X3,X0,X6,X4,X5] :
( X3 = X4
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X4)
| ~ ron(X0,X3)
| ~ rcenter(X2,X4)
| ~ rcenter(X2,X3)
| ~ rpoint(X5)
| X0 != X6
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f623]) ).
fof(f1170,plain,
! [X2,X3,X6,X4,X5] :
( ~ rcenter(X2,X3)
| vf(X2,X5) != vf(X2,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X3)
| ~ rcenter(X2,X4)
| X3 = X4
| ~ rpoint(X5)
| ~ rpoint(X6) ),
inference(equality_resolution,[],[f1169]) ).
fof(f1221,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X4)
| ~ rR(X2,X0,X1)
| rinside(X2,X4)
| ~ ron(X0,X4)
| ~ rcircle(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f638]) ).
fof(f1222,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X4)
| ~ rR(X5,X0,X1)
| rinside(X5,X4)
| ~ ron(X0,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1221]) ).
fof(f1223,plain,
! [X0,X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rR(X5,X0,X6)
| rinside(X5,X4)
| ~ ron(X0,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1222]) ).
fof(f1224,plain,
! [X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rR(X5,X7,X6)
| rinside(X5,X4)
| ~ ron(X7,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1223]) ).
fof(f1225,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X4)
| ~ rR(X2,X0,X1)
| rinside(X2,X4)
| ~ rinside(X0,X4)
| ~ rcircle(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f637]) ).
fof(f1226,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ ron(X1,X4)
| ~ rR(X5,X0,X1)
| rinside(X5,X4)
| ~ rinside(X0,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1225]) ).
fof(f1227,plain,
! [X0,X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rR(X5,X0,X6)
| rinside(X5,X4)
| ~ rinside(X0,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1226]) ).
fof(f1228,plain,
! [X6,X7,X4,X5] :
( ~ ron(X6,X4)
| ~ rR(X5,X7,X6)
| rinside(X5,X4)
| ~ rinside(X7,X4)
| ~ rcircle(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1227]) ).
fof(f1607,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f968]) ).
fof(f1608,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f943]) ).
fof(f1628,definition,
( spl64_6
<=> ! [X9,X7,X6,X8] :
( rinside(X7,X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X6)
| ~ rinside(X9,X6)
| ~ ron(X8,X6)
| ~ rR(X7,X9,X8) ) ),
introduced(definition,[new_symbols(definition,[spl64_6])],[avatar_definition]) ).
fof(f1629,plain,
( ! [X8,X6,X9,X7] :
( ~ rR(X7,X9,X8)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X6)
| ~ rinside(X9,X6)
| ~ ron(X8,X6)
| rinside(X7,X6) )
| ~ spl64_6 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1632,definition,
( spl64_7
<=> ! [X9,X7,X6,X8] :
( rinside(X7,X6)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X6)
| ~ ron(X9,X6)
| ~ ron(X8,X6)
| ~ rR(X7,X9,X8) ) ),
introduced(definition,[new_symbols(definition,[spl64_7])],[avatar_definition]) ).
fof(f1633,plain,
( ! [X8,X6,X9,X7] :
( ~ rR(X7,X9,X8)
| ~ rpoint(X9)
| ~ rpoint(X8)
| ~ rpoint(X7)
| ~ rcircle(X6)
| ~ ron(X9,X6)
| ~ ron(X8,X6)
| rinside(X7,X6) )
| ~ spl64_7 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1635,plain,
spl64_6,
inference(avatar_split_clause,[],[f1228,f1628]) ).
fof(f1636,plain,
spl64_7,
inference(avatar_split_clause,[],[f1224,f1632]) ).
fof(f1659,plain,
( vd684 != vf(sK11,sK2)
| sK10 = sK11
| ~ rpoint(sK10)
| ~ rpoint(sK11) ),
inference(superposition,[],[f945,f762]) ).
fof(f1660,plain,
( vd684 != vf(sK11,sK2)
| sK10 = sK11
| ~ rpoint(sK11) ),
inference(forward_subsumption_resolution,[],[f1659,f483]) ).
fof(f1661,plain,
( vd684 != vf(sK11,sK2)
| sK10 = sK11 ),
inference(forward_subsumption_resolution,[],[f1660,f485]) ).
fof(f1663,definition,
( spl64_13
<=> sK10 = sK11 ),
introduced(definition,[new_symbols(definition,[spl64_13])],[avatar_definition]) ).
fof(f1664,plain,
( sK10 = sK11
| ~ spl64_13 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1666,definition,
( spl64_14
<=> vd684 = vf(sK11,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_14])],[avatar_definition]) ).
fof(f1667,plain,
( vd684 != vf(sK11,sK2)
| spl64_14 ),
inference(avatar_component_clause,[],[f1666]) ).
fof(f1668,plain,
( spl64_13
| ~ spl64_14 ),
inference(avatar_split_clause,[],[f1661,f1666,f1663]) ).
fof(f1677,plain,
vd684 = vf(sK2,sK2),
inference(resolution,[],[f1608,f473]) ).
fof(f1683,plain,
vd684 = vf(sK10,sK10),
inference(resolution,[],[f1608,f483]) ).
fof(f1684,plain,
vd684 = vf(sK11,sK11),
inference(resolution,[],[f1608,f485]) ).
fof(f1707,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK2) = vf(sK2,X0) ),
inference(resolution,[],[f940,f473]) ).
fof(f1713,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK10) = vf(sK10,X0) ),
inference(resolution,[],[f940,f483]) ).
fof(f1724,plain,
vf(sK10,sK2) = vf(sK2,sK10),
inference(resolution,[],[f1707,f483]) ).
fof(f1736,plain,
vf(sK11,sK10) = vf(sK10,sK11),
inference(resolution,[],[f1713,f485]) ).
fof(f1739,plain,
vf(sK11,sK2) = vf(sK10,sK11),
inference(forward_demodulation,[],[f1736,f762]) ).
fof(f1757,definition,
( spl64_16
<=> sK2 = sK11 ),
introduced(definition,[new_symbols(definition,[spl64_16])],[avatar_definition]) ).
fof(f1758,plain,
( sK2 = sK11
| ~ spl64_16 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1837,plain,
( vd684 != vf(sK11,sK11)
| spl64_14
| ~ spl64_16 ),
inference(superposition,[],[f1667,f1758]) ).
fof(f1840,plain,
( $false
| spl64_14
| ~ spl64_16 ),
inference(forward_subsumption_resolution,[],[f1837,f1684]) ).
fof(f1841,plain,
( spl64_14
| ~ spl64_16 ),
inference(avatar_contradiction_clause,[],[f1840]) ).
fof(f1843,plain,
( sK2 != sK11
| ~ spl64_13 ),
inference(superposition,[],[f761,f1664]) ).
fof(f2125,plain,
! [X0,X1] :
( rinside(X0,sK26(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f615,f1071]) ).
fof(f2126,plain,
! [X2,X3,X0,X1,X4] :
( ~ rcenter(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,sK26(X0,X4))
| vf(X0,X2) != vf(X0,X1)
| sK26(X0,X4) = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| X0 = X4
| ~ rpoint(X4)
| ~ rpoint(X0) ),
inference(resolution,[],[f1170,f1071]) ).
fof(f2181,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X4,sK12(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ ron(X2,X3)
| ~ ron(X2,sK12(X1,X0))
| ~ ron(X4,X3)
| X0 = X1
| ~ rline(X3)
| sK12(X1,X0) = X3
| X2 = X4
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f801,f979]) ).
fof(f2182,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ ron(X4,sK12(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X4)
| rR(X2,X5,X6)
| X2 = X4
| X2 = X6
| X2 = X3
| X2 = X5
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ ron(X6,X7)
| ~ ron(X5,X7)
| ~ ron(X2,X7)
| vangle(X6,X2,X4) = vangle(X5,X2,X3)
| ~ rline(X7)
| ~ rpoint(X4)
| ~ rpoint(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2) ),
inference(resolution,[],[f801,f1086]) ).
fof(f2183,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X4,sK12(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X4)
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ ron(X2,sK12(X1,X0))
| X2 = X4
| X2 = X3
| vd684 = vangle(X3,X2,X4)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f801,f1098]) ).
fof(f2200,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X1)
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ ron(X2,sK12(X1,X0))
| X1 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X1)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2183,f799]) ).
fof(f2201,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ ron(X2,sK12(X1,X0))
| X0 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X0)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2183,f797]) ).
fof(f2202,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X1,X0))
| ~ rpoint(X1)
| rR(X2,X3,X0)
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ rpoint(X0)
| X0 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2201]) ).
fof(f2203,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X1,X0))
| ~ rpoint(X1)
| rR(X2,X3,X1)
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ rpoint(X0)
| X1 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2200]) ).
fof(f2204,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| X0 = X2
| ~ ron(X1,sK12(X0,X2))
| ~ rpoint(X2)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f2202,f799]) ).
fof(f2207,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK12(X0,X2))
| rR(X0,X1,X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f2204]) ).
fof(f2213,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| vd684 = vangle(X1,X0,X1)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f2207,f797]) ).
fof(f2214,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vangle(X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f2213]) ).
fof(f2216,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f2214,f1607]) ).
fof(f2218,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vd684 = vangle(sK2,X0,sK2) ),
inference(resolution,[],[f2216,f473]) ).
fof(f2224,plain,
! [X0] :
( ~ rpoint(X0)
| sK10 = X0
| vd684 = vangle(sK10,X0,sK10) ),
inference(resolution,[],[f2216,f483]) ).
fof(f2236,plain,
( sK2 = sK4
| vd684 = vangle(sK2,sK4,sK2) ),
inference(resolution,[],[f2218,f469]) ).
fof(f2245,definition,
( spl64_53
<=> vd684 = vangle(sK2,sK11,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_53])],[avatar_definition]) ).
fof(f2246,plain,
( vd684 = vangle(sK2,sK11,sK2)
| ~ spl64_53 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f2257,plain,
( sK2 = sK11
| vd684 = vangle(sK2,sK4,sK2) ),
inference(forward_demodulation,[],[f2236,f768]) ).
fof(f2263,plain,
( vd684 = vangle(sK2,sK11,sK2)
| sK2 = sK11 ),
inference(forward_demodulation,[],[f2257,f768]) ).
fof(f2265,plain,
( spl64_16
| spl64_53 ),
inference(avatar_split_clause,[],[f2263,f2245,f1757]) ).
fof(f2298,plain,
( sK4 = sK10
| vd684 = vangle(sK10,sK4,sK10) ),
inference(resolution,[],[f2224,f469]) ).
fof(f2307,definition,
( spl64_61
<=> vd684 = vangle(sK10,sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_61])],[avatar_definition]) ).
fof(f2308,plain,
( vd684 = vangle(sK10,sK11,sK10)
| ~ spl64_61 ),
inference(avatar_component_clause,[],[f2307]) ).
fof(f2315,plain,
( sK10 = sK11
| vd684 = vangle(sK10,sK4,sK10) ),
inference(forward_demodulation,[],[f2298,f768]) ).
fof(f2323,plain,
( vd684 = vangle(sK10,sK11,sK10)
| sK10 = sK11 ),
inference(forward_demodulation,[],[f2315,f768]) ).
fof(f2326,plain,
( spl64_13
| spl64_61 ),
inference(avatar_split_clause,[],[f2323,f2307,f1663]) ).
fof(f2578,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vf(sK2,X0) = vf(X0,vskolem1052(sK2,sK2,X0,X0)) ),
inference(resolution,[],[f917,f473]) ).
fof(f2608,plain,
( sK2 = sK10
| vf(sK2,sK10) = vf(sK10,vskolem1052(sK2,sK2,sK10,sK10)) ),
inference(resolution,[],[f2578,f483]) ).
fof(f2613,plain,
vf(sK2,sK10) = vf(sK10,vskolem1052(sK2,sK2,sK10,sK10)),
inference(forward_subsumption_resolution,[],[f2608,f761]) ).
fof(f2817,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK26(X0,X3))
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| ron(X1,sK26(X0,X3))
| ~ rpoint(X1)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f1039,f1071]) ).
fof(f2818,plain,
! [X2,X0,X1] :
( vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X1)
| ron(X2,sK26(X0,X1))
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f2817,f1069]) ).
fof(f2819,plain,
! [X2,X0,X1] :
( ron(X2,sK26(X0,X1))
| ~ rpoint(X1)
| vf(X0,X2) != vf(X0,X1)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f2818]) ).
fof(f3147,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X2,sK12(X3,X4))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,sK12(X3,X4))
| ~ ron(X0,sK12(X3,X4))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3) ),
inference(resolution,[],[f1119,f801]) ).
fof(f4999,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X0,sK26(X1,X2))
| ~ ron(X3,sK26(X1,X4))
| vf(X1,X0) != vf(X1,X3)
| sK26(X1,X2) = sK26(X1,X4)
| ~ rpoint(X0)
| ~ rpoint(X3)
| X1 = X4
| ~ rpoint(X4)
| ~ rpoint(X1)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f2126,f1071]) ).
fof(f5000,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X0,sK26(X1,X2))
| ~ ron(X3,sK26(X1,X4))
| vf(X1,X0) != vf(X1,X3)
| sK26(X1,X2) = sK26(X1,X4)
| ~ rpoint(X0)
| ~ rpoint(X3)
| X1 = X4
| ~ rpoint(X4)
| ~ rpoint(X1)
| X1 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f4999]) ).
fof(f5233,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vf(X0,vskolem1052(sK2,sK2,X0,X0)) = vf(vskolem1052(sK2,sK2,X0,X0),sK2) ),
inference(resolution,[],[f915,f473]) ).
fof(f5259,plain,
( sK2 = sK10
| vf(sK10,vskolem1052(sK2,sK2,sK10,sK10)) = vf(vskolem1052(sK2,sK2,sK10,sK10),sK2) ),
inference(resolution,[],[f5233,f483]) ).
fof(f5264,plain,
vf(sK10,vskolem1052(sK2,sK2,sK10,sK10)) = vf(vskolem1052(sK2,sK2,sK10,sK10),sK2),
inference(forward_subsumption_resolution,[],[f5259,f761]) ).
fof(f5433,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X1,X2,X0)
| ~ ron(X2,sK12(X0,X3))
| ~ ron(X1,sK12(X0,X3))
| rR(X2,X1,X0)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f3147,f799]) ).
fof(f5436,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X0,X3))
| rR(X1,X2,X0)
| rR(X0,X1,X2)
| ~ ron(X1,sK12(X0,X3))
| rR(X2,X1,X0)
| X0 = X2
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f5433]) ).
fof(f5438,plain,
! [X2,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X0,sK12(X2,X1))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X1)
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(resolution,[],[f5436,f797]) ).
fof(f5439,plain,
! [X2,X0,X1] :
( ~ ron(X0,sK12(X2,X1))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f5438]) ).
fof(f5458,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK26(X1,X2))
| vf(X1,X0) != vf(X1,X3)
| sK26(X1,X2) = sK26(X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1)
| X1 = X3
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(resolution,[],[f5000,f1069]) ).
fof(f5461,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK26(X1,X2))
| vf(X1,X0) != vf(X1,X3)
| sK26(X1,X2) = sK26(X1,X3)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1)
| X1 = X3 ),
inference(duplicate_literal_removal,[],[f5458]) ).
fof(f5462,plain,
! [X2,X0,X1] :
( vf(X0,X2) != vf(X0,X1)
| sK26(X0,X1) = sK26(X0,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f5461,f1069]) ).
fof(f5465,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| sK26(X0,X1) = sK26(X0,X2)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| vf(X0,X2) != vf(X0,X1)
| X0 = X2 ),
inference(duplicate_literal_removal,[],[f5462]) ).
fof(f5473,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| sK26(sK10,X0) = sK26(sK10,X1)
| sK10 = X0
| vf(sK10,X1) != vf(sK10,X0)
| sK10 = X1 ),
inference(resolution,[],[f5465,f483]) ).
fof(f5474,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| sK26(sK11,X0) = sK26(sK11,X1)
| sK11 = X0
| vf(sK11,X1) != vf(sK11,X0)
| sK11 = X1 ),
inference(resolution,[],[f5465,f485]) ).
fof(f5497,plain,
! [X0] :
( ~ rpoint(X0)
| sK26(sK10,X0) = sK26(sK10,sK2)
| sK2 = sK10
| vf(sK10,X0) != vf(sK10,sK2)
| sK10 = X0 ),
inference(resolution,[],[f5473,f473]) ).
fof(f5512,plain,
! [X0] :
( ~ rpoint(X0)
| sK26(sK10,X0) = sK26(sK10,sK2)
| vf(sK10,X0) != vf(sK10,sK2)
| sK10 = X0 ),
inference(forward_subsumption_resolution,[],[f5497,f761]) ).
fof(f5522,plain,
! [X0] :
( vf(sK10,X0) != vf(sK2,sK10)
| ~ rpoint(X0)
| sK26(sK10,X0) = sK26(sK10,sK2)
| sK10 = X0 ),
inference(forward_demodulation,[],[f5512,f1724]) ).
fof(f5582,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK2,X0) = sK20(sK2,X0) ),
inference(resolution,[],[f947,f473]) ).
fof(f5588,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK10,X0) = sK20(sK10,X0) ),
inference(resolution,[],[f947,f483]) ).
fof(f5589,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK11,X0) = sK20(sK11,X0) ),
inference(resolution,[],[f947,f485]) ).
fof(f5597,plain,
vf(sK10,sK2) = sK20(sK10,sK2),
inference(resolution,[],[f5588,f473]) ).
fof(f5620,plain,
vf(sK2,sK10) = sK20(sK2,sK10),
inference(resolution,[],[f5582,f483]) ).
fof(f5630,plain,
vf(sK2,sK10) = sK20(sK10,sK2),
inference(superposition,[],[f1724,f5597]) ).
fof(f5631,plain,
( vd684 != sK20(sK10,sK2)
| sK2 = sK10
| ~ rpoint(sK2)
| ~ rpoint(sK10) ),
inference(superposition,[],[f945,f5597]) ).
fof(f5632,plain,
( vd684 != sK20(sK10,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK10) ),
inference(forward_subsumption_resolution,[],[f5631,f761]) ).
fof(f5633,plain,
sK20(sK10,sK2) = sK20(sK2,sK10),
inference(forward_demodulation,[],[f5630,f5620]) ).
fof(f5635,plain,
( vd684 != sK20(sK10,sK2)
| ~ rpoint(sK10) ),
inference(forward_subsumption_resolution,[],[f5632,f473]) ).
fof(f5636,plain,
vd684 != sK20(sK10,sK2),
inference(forward_subsumption_resolution,[],[f5635,f483]) ).
fof(f5637,plain,
vd684 != sK20(sK2,sK10),
inference(forward_demodulation,[],[f5636,f5633]) ).
fof(f5660,plain,
vf(sK11,sK2) = sK20(sK11,sK2),
inference(resolution,[],[f5589,f473]) ).
fof(f6149,plain,
vf(sK10,vskolem1052(sK2,sK2,sK10,sK10)) = sK20(sK2,sK10),
inference(forward_demodulation,[],[f2613,f5620]) ).
fof(f6153,plain,
! [X0] :
( vf(sK10,X0) != sK20(sK2,sK10)
| ~ rpoint(X0)
| sK26(sK10,X0) = sK26(sK10,sK2)
| sK10 = X0 ),
inference(forward_demodulation,[],[f5522,f5620]) ).
fof(f6528,plain,
( sK20(sK2,sK10) != sK20(sK2,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK26(sK10,sK2) = sK26(sK10,vskolem1052(sK2,sK2,sK10,sK10))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10) ),
inference(superposition,[],[f6153,f6149]) ).
fof(f6532,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK26(sK10,sK2) = sK26(sK10,vskolem1052(sK2,sK2,sK10,sK10))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10) ),
inference(trivial_inequality_removal,[],[f6528]) ).
fof(f6537,definition,
( spl64_269
<=> sK10 = vskolem1052(sK2,sK2,sK10,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_269])],[avatar_definition]) ).
fof(f6538,plain,
( sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ spl64_269 ),
inference(avatar_component_clause,[],[f6537]) ).
fof(f6540,definition,
( spl64_270
<=> sK26(sK10,sK2) = sK26(sK10,vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_270])],[avatar_definition]) ).
fof(f6541,plain,
( sK26(sK10,sK2) = sK26(sK10,vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_270 ),
inference(avatar_component_clause,[],[f6540]) ).
fof(f6543,definition,
( spl64_271
<=> rpoint(vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_271])],[avatar_definition]) ).
fof(f6544,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| spl64_271 ),
inference(avatar_component_clause,[],[f6543]) ).
fof(f6545,plain,
( spl64_269
| spl64_270
| ~ spl64_271 ),
inference(avatar_split_clause,[],[f6532,f6543,f6540,f6537]) ).
fof(f6560,plain,
( sK2 = sK10
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| spl64_271 ),
inference(resolution,[],[f6544,f919]) ).
fof(f6562,plain,
( ~ rpoint(sK10)
| ~ rpoint(sK2)
| spl64_271 ),
inference(forward_subsumption_resolution,[],[f6560,f761]) ).
fof(f6563,plain,
( ~ rpoint(sK2)
| spl64_271 ),
inference(forward_subsumption_resolution,[],[f6562,f483]) ).
fof(f6564,plain,
( $false
| spl64_271 ),
inference(forward_subsumption_resolution,[],[f6563,f473]) ).
fof(f6565,plain,
spl64_271,
inference(avatar_contradiction_clause,[],[f6564]) ).
fof(f6567,plain,
( vf(sK10,sK10) = vf(sK10,sK2)
| ~ spl64_269 ),
inference(superposition,[],[f5264,f6538]) ).
fof(f6569,plain,
( vf(sK10,sK10) = vf(sK2,sK10)
| ~ spl64_269 ),
inference(forward_demodulation,[],[f6567,f1724]) ).
fof(f6571,plain,
( vf(sK10,sK10) = sK20(sK2,sK10)
| ~ spl64_269 ),
inference(forward_demodulation,[],[f6569,f5620]) ).
fof(f6574,plain,
( vd684 = sK20(sK2,sK10)
| ~ spl64_269 ),
inference(forward_demodulation,[],[f6571,f1683]) ).
fof(f6575,plain,
( $false
| ~ spl64_269 ),
inference(forward_subsumption_resolution,[],[f6574,f5637]) ).
fof(f6576,plain,
~ spl64_269,
inference(avatar_contradiction_clause,[],[f6575]) ).
fof(f6577,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ spl64_270 ),
inference(superposition,[],[f1069,f6541]) ).
fof(f6579,plain,
( rcircle(sK26(sK10,sK2))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ spl64_270 ),
inference(superposition,[],[f1073,f6541]) ).
fof(f6580,plain,
( rinside(sK10,sK26(sK10,sK2))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ spl64_270 ),
inference(superposition,[],[f2125,f6541]) ).
fof(f6593,plain,
( rinside(sK10,sK26(sK10,sK2))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_270 ),
inference(forward_subsumption_resolution,[],[f6580,f483]) ).
fof(f6594,plain,
( rcircle(sK26(sK10,sK2))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_270 ),
inference(forward_subsumption_resolution,[],[f6579,f483]) ).
fof(f6596,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_270 ),
inference(forward_subsumption_resolution,[],[f6577,f483]) ).
fof(f6616,definition,
( spl64_277
<=> rinside(sK10,sK26(sK10,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_277])],[avatar_definition]) ).
fof(f6617,plain,
( rinside(sK10,sK26(sK10,sK2))
| ~ spl64_277 ),
inference(avatar_component_clause,[],[f6616]) ).
fof(f6618,plain,
( ~ spl64_271
| spl64_269
| spl64_277
| ~ spl64_270 ),
inference(avatar_split_clause,[],[f6593,f6540,f6616,f6537,f6543]) ).
fof(f6620,definition,
( spl64_278
<=> rcircle(sK26(sK10,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_278])],[avatar_definition]) ).
fof(f6621,plain,
( rcircle(sK26(sK10,sK2))
| ~ spl64_278 ),
inference(avatar_component_clause,[],[f6620]) ).
fof(f6622,plain,
( ~ spl64_271
| spl64_269
| spl64_278
| ~ spl64_270 ),
inference(avatar_split_clause,[],[f6594,f6540,f6620,f6537,f6543]) ).
fof(f6628,definition,
( spl64_280
<=> ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_280])],[avatar_definition]) ).
fof(f6629,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ spl64_280 ),
inference(avatar_component_clause,[],[f6628]) ).
fof(f6630,plain,
( ~ spl64_271
| spl64_269
| spl64_280
| ~ spl64_270 ),
inference(avatar_split_clause,[],[f6596,f6540,f6628,f6537,f6543]) ).
fof(f7419,definition,
( spl64_293
<=> rinside(sK11,sK26(sK10,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_293])],[avatar_definition]) ).
fof(f7420,plain,
( rinside(sK11,sK26(sK10,sK2))
| ~ spl64_293 ),
inference(avatar_component_clause,[],[f7419]) ).
fof(f7430,definition,
( spl64_295
<=> rinside(sK2,sK26(sK10,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_295])],[avatar_definition]) ).
fof(f7431,plain,
( rinside(sK2,sK26(sK10,sK2))
| ~ spl64_295 ),
inference(avatar_component_clause,[],[f7430]) ).
fof(f7879,plain,
! [X0] :
( ~ rpoint(X0)
| sK26(sK11,X0) = sK26(sK11,sK10)
| sK10 = sK11
| vf(sK11,sK10) != vf(sK11,X0)
| sK11 = X0 ),
inference(resolution,[],[f5474,f483]) ).
fof(f7993,plain,
( ! [X0] :
( ~ rinside(X0,sK26(sK10,sK2))
| ~ ron(X0,sK26(sK10,sK2))
| ~ rpoint(X0) )
| ~ spl64_278 ),
inference(resolution,[],[f1053,f6621]) ).
fof(f9343,plain,
! [X0] :
( vf(sK11,sK2) != vf(sK11,X0)
| ~ rpoint(X0)
| sK26(sK11,X0) = sK26(sK11,sK10)
| sK10 = sK11
| sK11 = X0 ),
inference(forward_demodulation,[],[f7879,f762]) ).
fof(f9491,plain,
! [X0] :
( vf(sK11,X0) != sK20(sK11,sK2)
| ~ rpoint(X0)
| sK26(sK11,X0) = sK26(sK11,sK10)
| sK10 = sK11
| sK11 = X0 ),
inference(forward_demodulation,[],[f9343,f5660]) ).
fof(f9608,definition,
( spl64_393
<=> ! [X0] :
( vf(sK11,X0) != sK20(sK11,sK2)
| sK11 = X0
| sK26(sK11,X0) = sK26(sK11,sK10)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_393])],[avatar_definition]) ).
fof(f9609,plain,
( ! [X0] :
( vf(sK11,X0) != sK20(sK11,sK2)
| sK11 = X0
| sK26(sK11,X0) = sK26(sK11,sK10)
| ~ rpoint(X0) )
| ~ spl64_393 ),
inference(avatar_component_clause,[],[f9608]) ).
fof(f9610,plain,
( spl64_13
| spl64_393 ),
inference(avatar_split_clause,[],[f9491,f9608,f1663]) ).
fof(f10829,plain,
( sK20(sK11,sK2) != sK20(sK11,sK2)
| sK2 = sK11
| sK26(sK11,sK10) = sK26(sK11,sK2)
| ~ rpoint(sK2)
| ~ spl64_393 ),
inference(superposition,[],[f9609,f5660]) ).
fof(f10830,plain,
( sK2 = sK11
| sK26(sK11,sK10) = sK26(sK11,sK2)
| ~ rpoint(sK2)
| ~ spl64_393 ),
inference(trivial_inequality_removal,[],[f10829]) ).
fof(f10831,plain,
( sK2 = sK11
| sK26(sK11,sK10) = sK26(sK11,sK2)
| ~ spl64_393 ),
inference(forward_subsumption_resolution,[],[f10830,f473]) ).
fof(f10836,definition,
( spl64_465
<=> sK26(sK11,sK10) = sK26(sK11,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_465])],[avatar_definition]) ).
fof(f10837,plain,
( sK26(sK11,sK10) = sK26(sK11,sK2)
| ~ spl64_465 ),
inference(avatar_component_clause,[],[f10836]) ).
fof(f10838,plain,
( spl64_465
| spl64_16
| ~ spl64_393 ),
inference(avatar_split_clause,[],[f10831,f9608,f1757,f10836]) ).
fof(f10859,plain,
( ron(sK10,sK26(sK11,sK2))
| sK10 = sK11
| ~ rpoint(sK10)
| ~ rpoint(sK11)
| ~ spl64_465 ),
inference(superposition,[],[f1069,f10837]) ).
fof(f10861,plain,
( rcircle(sK26(sK11,sK2))
| sK10 = sK11
| ~ rpoint(sK10)
| ~ rpoint(sK11)
| ~ spl64_465 ),
inference(superposition,[],[f1073,f10837]) ).
fof(f10862,plain,
( rinside(sK11,sK26(sK11,sK2))
| sK10 = sK11
| ~ rpoint(sK10)
| ~ rpoint(sK11)
| ~ spl64_465 ),
inference(superposition,[],[f2125,f10837]) ).
fof(f10883,plain,
( rinside(sK11,sK26(sK11,sK2))
| sK10 = sK11
| ~ rpoint(sK11)
| ~ spl64_465 ),
inference(forward_subsumption_resolution,[],[f10862,f483]) ).
fof(f10884,plain,
( rcircle(sK26(sK11,sK2))
| sK10 = sK11
| ~ rpoint(sK11)
| ~ spl64_465 ),
inference(forward_subsumption_resolution,[],[f10861,f483]) ).
fof(f10886,plain,
( ron(sK10,sK26(sK11,sK2))
| sK10 = sK11
| ~ rpoint(sK11)
| ~ spl64_465 ),
inference(forward_subsumption_resolution,[],[f10859,f483]) ).
fof(f10897,plain,
( rinside(sK11,sK26(sK11,sK2))
| sK10 = sK11
| ~ spl64_465 ),
inference(forward_subsumption_resolution,[],[f10883,f485]) ).
fof(f10898,plain,
( rcircle(sK26(sK11,sK2))
| sK10 = sK11
| ~ spl64_465 ),
inference(forward_subsumption_resolution,[],[f10884,f485]) ).
fof(f10900,plain,
( ron(sK10,sK26(sK11,sK2))
| sK10 = sK11
| ~ spl64_465 ),
inference(forward_subsumption_resolution,[],[f10886,f485]) ).
fof(f10930,definition,
( spl64_477
<=> rinside(sK11,sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_477])],[avatar_definition]) ).
fof(f10931,plain,
( rinside(sK11,sK26(sK11,sK2))
| ~ spl64_477 ),
inference(avatar_component_clause,[],[f10930]) ).
fof(f10932,plain,
( spl64_13
| spl64_477
| ~ spl64_465 ),
inference(avatar_split_clause,[],[f10897,f10836,f10930,f1663]) ).
fof(f10934,definition,
( spl64_478
<=> rcircle(sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_478])],[avatar_definition]) ).
fof(f10935,plain,
( rcircle(sK26(sK11,sK2))
| ~ spl64_478 ),
inference(avatar_component_clause,[],[f10934]) ).
fof(f10936,plain,
( spl64_13
| spl64_478
| ~ spl64_465 ),
inference(avatar_split_clause,[],[f10898,f10836,f10934,f1663]) ).
fof(f10942,definition,
( spl64_480
<=> ron(sK10,sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_480])],[avatar_definition]) ).
fof(f10943,plain,
( ron(sK10,sK26(sK11,sK2))
| ~ spl64_480 ),
inference(avatar_component_clause,[],[f10942]) ).
fof(f10944,plain,
( spl64_13
| spl64_480
| ~ spl64_465 ),
inference(avatar_split_clause,[],[f10900,f10836,f10942,f1663]) ).
fof(f24167,plain,
( vf(sK11,sK2) = vf(sK11,sK11)
| ~ spl64_13 ),
inference(superposition,[],[f1739,f1664]) ).
fof(f24353,plain,
( vd684 = vf(sK11,sK2)
| ~ spl64_13 ),
inference(forward_demodulation,[],[f24167,f1684]) ).
fof(f24420,plain,
( vd684 != vd684
| sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ spl64_13 ),
inference(superposition,[],[f945,f24353]) ).
fof(f24421,plain,
( sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ spl64_13 ),
inference(trivial_inequality_removal,[],[f24420]) ).
fof(f24423,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ spl64_13 ),
inference(forward_subsumption_resolution,[],[f24421,f1843]) ).
fof(f24428,plain,
( ~ rpoint(sK11)
| ~ spl64_13 ),
inference(forward_subsumption_resolution,[],[f24423,f473]) ).
fof(f24429,plain,
( $false
| ~ spl64_13 ),
inference(forward_subsumption_resolution,[],[f24428,f485]) ).
fof(f24430,plain,
~ spl64_13,
inference(avatar_contradiction_clause,[],[f24429]) ).
fof(f35371,definition,
( spl64_1814
<=> ron(sK2,sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_1814])],[avatar_definition]) ).
fof(f35372,plain,
( ron(sK2,sK26(sK11,sK2))
| ~ spl64_1814 ),
inference(avatar_component_clause,[],[f35371]) ).
fof(f40576,definition,
( spl64_2189
<=> vd684 = vangle(sK2,sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_2189])],[avatar_definition]) ).
fof(f40577,plain,
( vd684 != vangle(sK2,sK11,sK10)
| spl64_2189 ),
inference(avatar_component_clause,[],[f40576]) ).
fof(f40680,definition,
( spl64_2215
<=> ! [X0] :
( ron(sK11,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_2215])],[avatar_definition]) ).
fof(f40681,plain,
( ! [X0] :
( ~ rline(X0)
| ron(sK11,X0)
| ~ ron(sK2,X0)
| ~ ron(sK10,X0) )
| ~ spl64_2215 ),
inference(avatar_component_clause,[],[f40680]) ).
fof(f40683,definition,
( spl64_2216
<=> vd684 = vangle(sK11,sK2,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_2216])],[avatar_definition]) ).
fof(f40839,definition,
( spl64_2239
<=> ! [X0] :
( ~ ron(sK11,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ron(sK10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_2239])],[avatar_definition]) ).
fof(f40840,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK11,X0)
| ~ ron(sK2,X0)
| ron(sK10,X0) )
| ~ spl64_2239 ),
inference(avatar_component_clause,[],[f40839]) ).
fof(f40872,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| rR(X2,X4,X5)
| X0 = X2
| X2 = X5
| X2 = X3
| X2 = X4
| X0 = X1
| ~ ron(X3,sK12(X1,X0))
| ~ ron(X5,X6)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| vangle(X4,X2,X3) = vangle(X5,X2,X0)
| ~ rline(X6)
| ~ rpoint(X0)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2182,f797]) ).
fof(f40873,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X3,sK12(X1,X0))
| ~ rpoint(X1)
| rR(X2,X3,X0)
| rR(X2,X4,X5)
| X0 = X2
| X2 = X5
| X2 = X3
| X2 = X4
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X5,X6)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| vangle(X4,X2,X3) = vangle(X5,X2,X0)
| ~ rline(X6)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f40872]) ).
fof(f40875,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| rR(X1,X0,X2)
| rR(X1,X3,X4)
| X1 = X2
| X1 = X4
| X0 = X1
| X1 = X3
| X0 = X2
| ~ rpoint(X2)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| vangle(X3,X1,X0) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f40873,f799]) ).
fof(f40876,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| rR(X1,X2,X2)
| rR(X1,X3,X4)
| X1 = X2
| X1 = X4
| X1 = X2
| X1 = X3
| X0 = X2
| ~ rpoint(X2)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| vangle(X3,X1,X2) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f40873,f797]) ).
fof(f40877,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| rR(X1,X2,X2)
| rR(X1,X3,X4)
| X1 = X2
| X1 = X4
| X1 = X3
| X0 = X2
| ~ rpoint(X2)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| vangle(X3,X1,X2) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f40876]) ).
fof(f40878,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X5)
| rR(X1,X0,X2)
| rR(X1,X3,X4)
| X1 = X2
| X1 = X4
| X0 = X1
| X1 = X3
| X0 = X2
| ~ rpoint(X2)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| vangle(X3,X1,X0) = vangle(X4,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f40875]) ).
fof(f40879,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rline(X5)
| rR(X1,X3,X4)
| X1 = X2
| X1 = X4
| X1 = X3
| X0 = X2
| ~ rpoint(X2)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| vangle(X3,X1,X2) = vangle(X4,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f40877,f1607]) ).
fof(f40883,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X4,sK12(X5,X6))
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| X1 = X2
| ~ rpoint(X2)
| rR(X0,X1,X2)
| ~ ron(X3,sK12(X5,X6))
| ~ ron(X0,sK12(X5,X6))
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f40878,f801]) ).
fof(f40891,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X2,sK12(X5,X6))
| X0 = X3
| X0 = X2
| X0 = X1
| X3 = X4
| ~ rpoint(X3)
| rR(X0,X1,X2)
| ~ ron(X1,sK12(X5,X6))
| ~ ron(X0,sK12(X5,X6))
| vangle(X1,X0,X3) = vangle(X2,X0,X3)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X5 = X6
| ~ rpoint(X6)
| ~ rpoint(X5) ),
inference(resolution,[],[f40879,f801]) ).
fof(f40910,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ ron(X2,X3)
| ~ ron(X2,sK12(X1,X0))
| ~ ron(X1,X3)
| X0 = X1
| ~ rline(X3)
| sK12(X1,X0) = X3
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2181,f799]) ).
fof(f40913,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK12(X1,X0))
| ~ rpoint(X1)
| ~ ron(X2,X3)
| ~ rpoint(X0)
| ~ ron(X1,X3)
| X0 = X1
| ~ rline(X3)
| sK12(X1,X0) = X3
| X1 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f40910]) ).
fof(f40915,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ ron(X0,X2)
| X0 = X1
| ~ rline(X2)
| sK12(X0,X1) = X2
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f40913,f797]) ).
fof(f40916,plain,
! [X2,X0,X1] :
( ~ rline(X2)
| ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ ron(X0,X2)
| X0 = X1
| ~ rpoint(X0)
| sK12(X0,X1) = X2 ),
inference(duplicate_literal_removal,[],[f40915]) ).
fof(f40921,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,sK12(X1,X2))
| ~ rpoint(X0)
| ~ ron(X3,sK12(X1,X2))
| X0 = X3
| ~ rpoint(X3)
| sK12(X1,X2) = sK12(X3,X0)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f40916,f801]) ).
fof(f40955,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X1
| X0 = X2
| X0 = X3
| X1 = X4
| ~ rpoint(X1)
| rR(X0,X3,X2)
| ~ ron(X3,sK12(X2,X5))
| ~ ron(X0,sK12(X2,X5))
| vangle(X2,X0,X1) = vangle(X3,X0,X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X2 = X5
| ~ rpoint(X5)
| ~ rpoint(X2)
| X2 = X5
| ~ rpoint(X5)
| ~ rpoint(X2) ),
inference(resolution,[],[f40891,f799]) ).
fof(f40958,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X3,sK12(X2,X5))
| X0 = X2
| X0 = X3
| X1 = X4
| ~ rpoint(X1)
| rR(X0,X3,X2)
| X0 = X1
| ~ ron(X0,sK12(X2,X5))
| vangle(X2,X0,X1) = vangle(X3,X0,X1)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X0)
| X2 = X5
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f40955]) ).
fof(f40968,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| X3 = X4
| ~ rpoint(X3)
| rR(X0,X2,X1)
| X0 = X3
| ~ ron(X0,sK12(X1,X2))
| vangle(X1,X0,X3) = vangle(X2,X0,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(resolution,[],[f40958,f797]) ).
fof(f40969,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X0,sK12(X1,X2))
| X0 = X2
| X3 = X4
| ~ rpoint(X3)
| rR(X0,X2,X1)
| X0 = X3
| X0 = X1
| vangle(X1,X0,X3) = vangle(X2,X0,X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X1 = X2 ),
inference(duplicate_literal_removal,[],[f40968]) ).
fof(f40984,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ ron(X1,sK12(X0,X2))
| X0 = X1
| ~ rpoint(X1)
| sK12(X1,X0) = sK12(X0,X2)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f40921,f799]) ).
fof(f40987,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK12(X0,X2))
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| sK12(X1,X0) = sK12(X0,X2)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f40984]) ).
fof(f40993,plain,
! [X0,X1] :
( ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| sK12(X0,X1) = sK12(X1,X0)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f40987,f797]) ).
fof(f40994,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| sK12(X0,X1) = sK12(X1,X0) ),
inference(duplicate_literal_removal,[],[f40993]) ).
fof(f41011,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| sK12(X0,sK2) = sK12(sK2,X0) ),
inference(resolution,[],[f40994,f473]) ).
fof(f41071,plain,
( sK2 = sK10
| sK12(sK2,sK10) = sK12(sK10,sK2) ),
inference(resolution,[],[f41011,f483]) ).
fof(f41079,plain,
sK12(sK2,sK10) = sK12(sK10,sK2),
inference(forward_subsumption_resolution,[],[f41071,f761]) ).
fof(f41914,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X0,X1,X2)
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| X3 = X4
| ~ rpoint(X3)
| rR(X0,X4,X3)
| ~ ron(X1,sK12(X5,X2))
| ~ ron(X0,sK12(X5,X2))
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X5
| ~ rpoint(X2)
| ~ rpoint(X5)
| X2 = X5
| ~ rpoint(X2)
| ~ rpoint(X5) ),
inference(resolution,[],[f40883,f797]) ).
fof(f41929,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X1,sK12(X5,X2))
| X0 = X3
| X0 = X2
| X0 = X4
| X0 = X1
| X3 = X4
| ~ rpoint(X3)
| rR(X0,X4,X3)
| rR(X0,X1,X2)
| ~ ron(X0,sK12(X5,X2))
| vangle(X2,X0,X3) = vangle(X1,X0,X4)
| ~ rpoint(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X5
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f41914]) ).
fof(f42432,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| X0 = X3
| X0 = X2
| X1 = X3
| ~ rpoint(X1)
| rR(X0,X3,X1)
| rR(X0,X2,X2)
| ~ ron(X0,sK12(X4,X2))
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X2 = X4
| ~ rpoint(X4)
| X2 = X4
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f41929,f797]) ).
fof(f42451,plain,
! [X2,X3,X0,X1,X4] :
( X0 = X1
| X0 = X2
| X0 = X3
| X1 = X3
| ~ rpoint(X1)
| rR(X0,X3,X1)
| rR(X0,X2,X2)
| ~ ron(X0,sK12(X4,X2))
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X2 = X4
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f42432]) ).
fof(f42453,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X0,sK12(X4,X2))
| X0 = X2
| X0 = X3
| X1 = X3
| ~ rpoint(X1)
| rR(X0,X3,X1)
| X0 = X1
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X2 = X4
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f42451,f1607]) ).
fof(f42454,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X2 = X3
| ~ rpoint(X3)
| rR(X0,X2,X3)
| X0 = X3
| vangle(X1,X0,X2) = vangle(X1,X0,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f42453,f799]) ).
fof(f42475,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 = X2
| X2 = X3
| X0 = X1
| rR(X0,X2,X3)
| X0 = X3
| vangle(X1,X0,X2) = vangle(X1,X0,X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f42454]) ).
fof(f42593,plain,
! [X2,X0,X1] :
( ~ rpoint(X1)
| sK2 = X1
| X0 = X2
| rR(X0,X1,sK2)
| sK2 = X0
| vangle(X2,X0,X1) = vangle(X2,X0,sK2)
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f42475,f473]) ).
fof(f42683,plain,
! [X0,X1] :
( sK2 = sK10
| X0 = X1
| rR(X0,sK10,sK2)
| sK2 = X0
| vangle(X1,X0,sK2) = vangle(X1,X0,sK10)
| sK10 = X0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f42593,f483]) ).
fof(f42692,plain,
! [X0,X1] :
( ~ rpoint(X0)
| rR(X0,sK10,sK2)
| sK2 = X0
| vangle(X1,X0,sK2) = vangle(X1,X0,sK10)
| sK10 = X0
| ~ rpoint(X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f42683,f761]) ).
fof(f42794,plain,
! [X0] :
( rR(sK4,sK10,sK2)
| sK2 = sK4
| vangle(X0,sK4,sK2) = vangle(X0,sK4,sK10)
| sK4 = sK10
| ~ rpoint(X0)
| sK4 = X0 ),
inference(resolution,[],[f42692,f469]) ).
fof(f42803,definition,
( spl64_2309
<=> ! [X0] :
( vangle(X0,sK11,sK2) = vangle(X0,sK11,sK10)
| sK11 = X0
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_2309])],[avatar_definition]) ).
fof(f42804,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK11 = X0
| vangle(X0,sK11,sK2) = vangle(X0,sK11,sK10) )
| ~ spl64_2309 ),
inference(avatar_component_clause,[],[f42803]) ).
fof(f42806,definition,
( spl64_2310
<=> rR(sK11,sK10,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_2310])],[avatar_definition]) ).
fof(f42807,plain,
( rR(sK11,sK10,sK2)
| ~ spl64_2310 ),
inference(avatar_component_clause,[],[f42806]) ).
fof(f42817,plain,
! [X0] :
( rR(sK11,sK10,sK2)
| sK2 = sK4
| vangle(X0,sK4,sK2) = vangle(X0,sK4,sK10)
| sK4 = sK10
| ~ rpoint(X0)
| sK4 = X0 ),
inference(forward_demodulation,[],[f42794,f768]) ).
fof(f42848,plain,
! [X0] :
( sK2 = sK11
| rR(sK11,sK10,sK2)
| vangle(X0,sK4,sK2) = vangle(X0,sK4,sK10)
| sK4 = sK10
| ~ rpoint(X0)
| sK4 = X0 ),
inference(forward_demodulation,[],[f42817,f768]) ).
fof(f42864,plain,
! [X0] :
( vangle(X0,sK11,sK2) = vangle(X0,sK11,sK10)
| sK2 = sK11
| rR(sK11,sK10,sK2)
| sK4 = sK10
| ~ rpoint(X0)
| sK4 = X0 ),
inference(forward_demodulation,[],[f42848,f768]) ).
fof(f42873,plain,
! [X0] :
( sK10 = sK11
| vangle(X0,sK11,sK2) = vangle(X0,sK11,sK10)
| sK2 = sK11
| rR(sK11,sK10,sK2)
| ~ rpoint(X0)
| sK4 = X0 ),
inference(forward_demodulation,[],[f42864,f768]) ).
fof(f42882,plain,
! [X0] :
( sK11 = X0
| sK10 = sK11
| vangle(X0,sK11,sK2) = vangle(X0,sK11,sK10)
| sK2 = sK11
| rR(sK11,sK10,sK2)
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f42873,f768]) ).
fof(f42891,plain,
( spl64_2310
| spl64_16
| spl64_13
| spl64_2309 ),
inference(avatar_split_clause,[],[f42882,f42803,f1663,f1757,f42806]) ).
fof(f42904,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK10,X0)
| ron(sK11,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ rpoint(sK10) )
| ~ spl64_2310 ),
inference(resolution,[],[f42807,f961]) ).
fof(f42905,plain,
( rR(sK11,sK2,sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| ~ spl64_2310 ),
inference(resolution,[],[f42807,f975]) ).
fof(f42910,plain,
( ! [X0] :
( ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ rcircle(X0)
| ~ rinside(sK10,X0)
| ~ ron(sK2,X0)
| rinside(sK11,X0) )
| ~ spl64_6
| ~ spl64_2310 ),
inference(resolution,[],[f42807,f1629]) ).
fof(f42913,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ rcircle(X0)
| ~ rinside(sK10,X0)
| ~ ron(sK2,X0)
| rinside(sK11,X0) )
| ~ spl64_6
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42910,f483]) ).
fof(f42918,plain,
( rR(sK11,sK2,sK10)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42905,f473]) ).
fof(f42919,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK10,X0)
| ron(sK11,X0)
| ~ rline(X0)
| ~ rpoint(sK11)
| ~ rpoint(sK10) )
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42904,f473]) ).
fof(f42924,plain,
( ! [X0] :
( ~ rpoint(sK11)
| ~ rcircle(X0)
| ~ rinside(sK10,X0)
| ~ ron(sK2,X0)
| rinside(sK11,X0) )
| ~ spl64_6
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42913,f473]) ).
fof(f42929,plain,
( rR(sK11,sK2,sK10)
| ~ rpoint(sK10)
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42918,f485]) ).
fof(f42930,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK10,X0)
| ron(sK11,X0)
| ~ rline(X0)
| ~ rpoint(sK10) )
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42919,f485]) ).
fof(f42935,plain,
( ! [X0] :
( ~ rinside(sK10,X0)
| ~ rcircle(X0)
| ~ ron(sK2,X0)
| rinside(sK11,X0) )
| ~ spl64_6
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42924,f485]) ).
fof(f42940,plain,
( rR(sK11,sK2,sK10)
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42929,f483]) ).
fof(f42941,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK10,X0)
| ron(sK11,X0)
| ~ rline(X0) )
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f42930,f483]) ).
fof(f42947,plain,
( spl64_2215
| ~ spl64_2310 ),
inference(avatar_split_clause,[],[f42941,f42806,f40680]) ).
fof(f43047,plain,
( sK2 = sK11
| vangle(sK2,sK11,sK2) = vangle(sK2,sK11,sK10)
| ~ spl64_2309 ),
inference(resolution,[],[f42804,f473]) ).
fof(f43061,plain,
( vd684 = vangle(sK2,sK11,sK10)
| sK2 = sK11
| ~ spl64_53
| ~ spl64_2309 ),
inference(forward_demodulation,[],[f43047,f2246]) ).
fof(f43131,plain,
( vd684 = vangle(sK2,sK11,sK10)
| ~ spl64_2189 ),
inference(avatar_component_clause,[],[f40576]) ).
fof(f43132,plain,
( spl64_16
| spl64_2189
| ~ spl64_53
| ~ spl64_2309 ),
inference(avatar_split_clause,[],[f43061,f42803,f2245,f40576,f1757]) ).
fof(f43142,plain,
( ! [X0] :
( vd684 != vd684
| ron(sK10,X0)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2189 ),
inference(superposition,[],[f1094,f43131]) ).
fof(f43143,plain,
( ! [X0] :
( ron(sK10,X0)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2189 ),
inference(trivial_inequality_removal,[],[f43142]) ).
fof(f43144,plain,
( ! [X0] :
( ron(sK10,X0)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2189 ),
inference(forward_subsumption_resolution,[],[f43143,f483]) ).
fof(f43145,plain,
( ! [X0] :
( ron(sK10,X0)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK11) )
| ~ spl64_2189 ),
inference(forward_subsumption_resolution,[],[f43144,f473]) ).
fof(f43146,plain,
( ! [X0] :
( ron(sK10,X0)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0) )
| ~ spl64_2189 ),
inference(forward_subsumption_resolution,[],[f43145,f485]) ).
fof(f43147,plain,
( spl64_16
| spl64_13
| spl64_2239
| ~ spl64_2189 ),
inference(avatar_split_clause,[],[f43146,f40576,f40839,f1663,f1757]) ).
fof(f43191,plain,
( ! [X0,X1] :
( ~ ron(sK10,sK12(X0,X1))
| ~ ron(sK2,sK12(X0,X1))
| ron(sK11,sK12(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_2215 ),
inference(resolution,[],[f40681,f801]) ).
fof(f45868,plain,
( ~ ron(sK2,sK26(sK11,sK2))
| spl64_1814 ),
inference(avatar_component_clause,[],[f35371]) ).
fof(f45872,plain,
( ~ rpoint(sK2)
| vf(sK11,sK2) != vf(sK11,sK2)
| ~ rpoint(sK2)
| sK2 = sK11
| ~ rpoint(sK11)
| spl64_1814 ),
inference(resolution,[],[f45868,f2819]) ).
fof(f45873,plain,
( ~ rpoint(sK2)
| vf(sK11,sK2) != vf(sK11,sK2)
| sK2 = sK11
| ~ rpoint(sK11)
| spl64_1814 ),
inference(duplicate_literal_removal,[],[f45872]) ).
fof(f45874,plain,
( ~ rpoint(sK2)
| sK2 = sK11
| ~ rpoint(sK11)
| spl64_1814 ),
inference(trivial_inequality_removal,[],[f45873]) ).
fof(f45876,plain,
( sK2 = sK11
| ~ rpoint(sK11)
| spl64_1814 ),
inference(forward_subsumption_resolution,[],[f45874,f473]) ).
fof(f45878,plain,
( sK2 = sK11
| spl64_1814 ),
inference(forward_subsumption_resolution,[],[f45876,f485]) ).
fof(f45880,plain,
( spl64_16
| spl64_1814 ),
inference(avatar_split_clause,[],[f45878,f35371,f1757]) ).
fof(f47268,plain,
( ~ rcircle(sK26(sK10,sK2))
| ~ ron(sK2,sK26(sK10,sK2))
| rinside(sK11,sK26(sK10,sK2))
| ~ spl64_6
| ~ spl64_277
| ~ spl64_2310 ),
inference(resolution,[],[f42935,f6617]) ).
fof(f47275,plain,
( ~ ron(sK2,sK26(sK10,sK2))
| rinside(sK11,sK26(sK10,sK2))
| ~ spl64_6
| ~ spl64_277
| ~ spl64_278
| ~ spl64_2310 ),
inference(forward_subsumption_resolution,[],[f47268,f6621]) ).
fof(f48621,plain,
( ! [X0] :
( ~ ron(sK2,sK12(X0,sK10))
| ron(sK11,sK12(X0,sK10))
| sK10 = X0
| ~ rpoint(sK10)
| ~ rpoint(X0)
| sK10 = X0
| ~ rpoint(sK10)
| ~ rpoint(X0) )
| ~ spl64_2215 ),
inference(resolution,[],[f43191,f797]) ).
fof(f48640,plain,
( ! [X0] :
( ~ ron(sK2,sK12(X0,sK10))
| ron(sK11,sK12(X0,sK10))
| sK10 = X0
| ~ rpoint(sK10)
| ~ rpoint(X0) )
| ~ spl64_2215 ),
inference(duplicate_literal_removal,[],[f48621]) ).
fof(f48642,plain,
( ! [X0] :
( ~ ron(sK2,sK12(X0,sK10))
| ron(sK11,sK12(X0,sK10))
| sK10 = X0
| ~ rpoint(X0) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48640,f483]) ).
fof(f48644,plain,
( ron(sK11,sK12(sK2,sK10))
| sK2 = sK10
| ~ rpoint(sK2)
| sK2 = sK10
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2215 ),
inference(resolution,[],[f48642,f799]) ).
fof(f48647,plain,
( ron(sK11,sK12(sK2,sK10))
| sK2 = sK10
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(duplicate_literal_removal,[],[f48644]) ).
fof(f48648,plain,
( ron(sK11,sK12(sK2,sK10))
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48647,f761]) ).
fof(f48649,plain,
( ron(sK11,sK12(sK2,sK10))
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48648,f473]) ).
fof(f48650,plain,
( ron(sK11,sK12(sK2,sK10))
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48649,f483]) ).
fof(f48661,plain,
( rR(sK2,sK11,sK10)
| sK2 = sK10
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| sK2 = sK11
| vd684 = vangle(sK11,sK2,sK10)
| ~ rpoint(sK11)
| ~ spl64_2215 ),
inference(resolution,[],[f48650,f2207]) ).
fof(f48688,plain,
( ~ rpoint(sK2)
| sK2 = sK11
| ~ rpoint(sK11)
| sK12(sK11,sK2) = sK12(sK2,sK10)
| sK2 = sK10
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(resolution,[],[f48650,f40987]) ).
fof(f48689,plain,
( ! [X2,X0,X1] :
( X0 = X1
| sK10 = X0
| X0 = X2
| sK11 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,X2,X1)
| rR(X0,sK11,sK10)
| ~ ron(X0,sK12(sK2,sK10))
| vangle(sK11,X0,X2) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK10)
| ~ rpoint(sK11)
| ~ rpoint(X0)
| sK2 = sK10
| ~ rpoint(sK2) )
| ~ spl64_2215 ),
inference(resolution,[],[f48650,f41929]) ).
fof(f48701,plain,
( ! [X2,X0,X1] :
( X0 = X1
| sK10 = X0
| X0 = X2
| sK11 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,X2,X1)
| rR(X0,sK11,sK10)
| ~ ron(X0,sK12(sK2,sK10))
| vangle(sK11,X0,X2) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK11)
| ~ rpoint(X0)
| sK2 = sK10
| ~ rpoint(sK2) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48689,f483]) ).
fof(f48702,plain,
( sK2 = sK11
| ~ rpoint(sK11)
| sK12(sK11,sK2) = sK12(sK2,sK10)
| sK2 = sK10
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48688,f473]) ).
fof(f48725,plain,
( rR(sK2,sK11,sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| sK2 = sK11
| vd684 = vangle(sK11,sK2,sK10)
| ~ rpoint(sK11)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48661,f761]) ).
fof(f48735,plain,
( ! [X2,X0,X1] :
( X0 = X1
| sK10 = X0
| X0 = X2
| sK11 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,X2,X1)
| rR(X0,sK11,sK10)
| ~ ron(X0,sK12(sK2,sK10))
| vangle(sK11,X0,X2) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| sK2 = sK10
| ~ rpoint(sK2) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48701,f485]) ).
fof(f48736,plain,
( sK2 = sK11
| sK12(sK11,sK2) = sK12(sK2,sK10)
| sK2 = sK10
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48702,f485]) ).
fof(f48759,plain,
( rR(sK2,sK11,sK10)
| ~ rpoint(sK10)
| sK2 = sK11
| vd684 = vangle(sK11,sK2,sK10)
| ~ rpoint(sK11)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48725,f473]) ).
fof(f48770,plain,
( ! [X2,X0,X1] :
( X0 = X1
| sK10 = X0
| X0 = X2
| sK11 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,X2,X1)
| rR(X0,sK11,sK10)
| ~ ron(X0,sK12(sK2,sK10))
| vangle(sK11,X0,X2) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48735,f761]) ).
fof(f48771,plain,
( sK2 = sK11
| sK12(sK11,sK2) = sK12(sK2,sK10)
| ~ rpoint(sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48736,f761]) ).
fof(f48794,plain,
( rR(sK2,sK11,sK10)
| sK2 = sK11
| vd684 = vangle(sK11,sK2,sK10)
| ~ rpoint(sK11)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48759,f483]) ).
fof(f48801,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK2,sK10))
| sK10 = X0
| X0 = X2
| sK11 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,X2,X1)
| rR(X0,sK11,sK10)
| X0 = X1
| vangle(sK11,X0,X2) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48770,f473]) ).
fof(f48802,plain,
( sK2 = sK11
| sK12(sK11,sK2) = sK12(sK2,sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48771,f483]) ).
fof(f48832,definition,
( spl64_2607
<=> sK12(sK11,sK2) = sK12(sK2,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_2607])],[avatar_definition]) ).
fof(f48833,plain,
( sK12(sK11,sK2) = sK12(sK2,sK10)
| ~ spl64_2607 ),
inference(avatar_component_clause,[],[f48832]) ).
fof(f48834,plain,
( spl64_2607
| spl64_16
| ~ spl64_2215 ),
inference(avatar_split_clause,[],[f48802,f40680,f1757,f48832]) ).
fof(f48874,definition,
( spl64_2617
<=> rR(sK10,sK11,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_2617])],[avatar_definition]) ).
fof(f48875,plain,
( rR(sK10,sK11,sK2)
| ~ spl64_2617 ),
inference(avatar_component_clause,[],[f48874]) ).
fof(f48878,definition,
( spl64_2618
<=> rR(sK2,sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_2618])],[avatar_definition]) ).
fof(f48879,plain,
( rR(sK2,sK11,sK10)
| ~ spl64_2618 ),
inference(avatar_component_clause,[],[f48878]) ).
fof(f48907,plain,
( ron(sK10,sK12(sK11,sK2))
| sK2 = sK10
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(superposition,[],[f797,f48833]) ).
fof(f48908,plain,
( ron(sK2,sK12(sK11,sK2))
| sK2 = sK10
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(superposition,[],[f799,f48833]) ).
fof(f48909,plain,
( rline(sK12(sK11,sK2))
| sK2 = sK10
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(superposition,[],[f801,f48833]) ).
fof(f48912,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| rR(X1,X2,X0)
| sK2 = sK10
| ~ ron(X2,sK12(sK11,sK2))
| ~ ron(X1,sK12(sK11,sK2))
| X0 = X1
| X1 = X2
| vangle(X2,X1,X0) = vd684
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl64_2607 ),
inference(superposition,[],[f2183,f48833]) ).
fof(f48915,plain,
( ! [X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| ~ rpoint(sK2)
| rR(X0,X1,sK2)
| sK2 = sK10
| ~ ron(X1,sK12(sK11,sK2))
| ~ rpoint(sK10)
| sK2 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(superposition,[],[f2203,f48833]) ).
fof(f48942,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| sK10 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,sK10,sK2)
| X0 = X1
| sK2 = X0
| vangle(sK2,X0,X1) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ rpoint(X0)
| sK2 = sK10 )
| ~ spl64_2607 ),
inference(superposition,[],[f40969,f48833]) ).
fof(f48964,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| sK10 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,sK10,sK2)
| X0 = X1
| sK2 = X0
| vangle(sK2,X0,X1) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(sK10)
| ~ rpoint(X0)
| sK2 = sK10 )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48942,f473]) ).
fof(f48991,plain,
( ! [X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| rR(X0,X1,sK2)
| sK2 = sK10
| ~ ron(X1,sK12(sK11,sK2))
| ~ rpoint(sK10)
| sK2 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48915,f473]) ).
fof(f48994,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| ~ rpoint(sK2)
| rR(X1,X2,X0)
| sK2 = sK10
| ~ ron(X2,sK12(sK11,sK2))
| ~ ron(X1,sK12(sK11,sK2))
| X0 = X1
| X1 = X2
| vangle(X2,X1,X0) = vd684
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48912,f483]) ).
fof(f48997,plain,
( rline(sK12(sK11,sK2))
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48909,f761]) ).
fof(f48998,plain,
( ron(sK2,sK12(sK11,sK2))
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48908,f761]) ).
fof(f48999,plain,
( ron(sK10,sK12(sK11,sK2))
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48907,f761]) ).
fof(f49006,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| sK10 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,sK10,sK2)
| X0 = X1
| sK2 = X0
| vangle(sK2,X0,X1) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| sK2 = sK10 )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48964,f483]) ).
fof(f49033,plain,
( ! [X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| rR(X0,X1,sK2)
| ~ ron(X1,sK12(sK11,sK2))
| ~ rpoint(sK10)
| sK2 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48991,f761]) ).
fof(f49036,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| rR(X1,X2,X0)
| sK2 = sK10
| ~ ron(X2,sK12(sK11,sK2))
| ~ ron(X1,sK12(sK11,sK2))
| X0 = X1
| X1 = X2
| vangle(X2,X1,X0) = vd684
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48994,f473]) ).
fof(f49039,plain,
( rline(sK12(sK11,sK2))
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48997,f483]) ).
fof(f49040,plain,
( ron(sK2,sK12(sK11,sK2))
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48998,f483]) ).
fof(f49041,plain,
( ron(sK10,sK12(sK11,sK2))
| ~ rpoint(sK2)
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f48999,f483]) ).
fof(f49047,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| sK10 = X0
| X1 = X2
| ~ rpoint(X1)
| rR(X0,sK10,sK2)
| X0 = X1
| sK2 = X0
| vangle(sK2,X0,X1) = vangle(sK10,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f49006,f761]) ).
fof(f49074,plain,
( ! [X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| rR(X0,X1,sK2)
| ~ ron(X1,sK12(sK11,sK2))
| sK2 = X0
| X0 = X1
| vd684 = vangle(X1,X0,sK2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f49033,f483]) ).
fof(f49077,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,sK12(sK11,sK2))
| rR(X1,X2,X0)
| ~ ron(X2,sK12(sK11,sK2))
| ~ ron(X0,sK12(sK11,sK2))
| X0 = X1
| X1 = X2
| vangle(X2,X1,X0) = vd684
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f49036,f761]) ).
fof(f49080,plain,
( rline(sK12(sK11,sK2))
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f49039,f473]) ).
fof(f49081,plain,
( ron(sK2,sK12(sK11,sK2))
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f49040,f473]) ).
fof(f49082,plain,
( ron(sK10,sK12(sK11,sK2))
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f49041,f473]) ).
fof(f49092,plain,
( ! [X0] :
( ~ rpoint(sK11)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK10,X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_2618 ),
inference(resolution,[],[f48879,f1629]) ).
fof(f49095,plain,
( ! [X0] :
( ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK10,X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_2618 ),
inference(forward_subsumption_resolution,[],[f49092,f485]) ).
fof(f49103,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK10,X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_2618 ),
inference(forward_subsumption_resolution,[],[f49095,f483]) ).
fof(f49111,plain,
( ! [X0] :
( ~ rinside(sK11,X0)
| ~ rcircle(X0)
| ~ ron(sK10,X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_2618 ),
inference(forward_subsumption_resolution,[],[f49103,f473]) ).
fof(f49365,definition,
( spl64_2632
<=> rR(sK10,sK2,sK11) ),
introduced(definition,[new_symbols(definition,[spl64_2632])],[avatar_definition]) ).
fof(f49366,plain,
( rR(sK10,sK2,sK11)
| ~ spl64_2632 ),
inference(avatar_component_clause,[],[f49365]) ).
fof(f50649,definition,
( spl64_2726
<=> rinside(sK2,sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_2726])],[avatar_definition]) ).
fof(f50650,plain,
( rinside(sK2,sK26(sK11,sK2))
| ~ spl64_2726 ),
inference(avatar_component_clause,[],[f50649]) ).
fof(f51207,plain,
( ~ rcircle(sK26(sK11,sK2))
| ~ ron(sK10,sK26(sK11,sK2))
| rinside(sK2,sK26(sK11,sK2))
| ~ spl64_6
| ~ spl64_477
| ~ spl64_2618 ),
inference(resolution,[],[f49111,f10931]) ).
fof(f51211,plain,
( ~ ron(sK10,sK26(sK11,sK2))
| rinside(sK2,sK26(sK11,sK2))
| ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_2618 ),
inference(forward_subsumption_resolution,[],[f51207,f10935]) ).
fof(f51213,plain,
( rinside(sK2,sK26(sK11,sK2))
| ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_480
| ~ spl64_2618 ),
inference(forward_subsumption_resolution,[],[f51211,f10943]) ).
fof(f51214,plain,
( spl64_2726
| ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_480
| ~ spl64_2618 ),
inference(avatar_split_clause,[],[f51213,f48878,f10942,f10934,f10930,f1628,f50649]) ).
fof(f51215,plain,
( $false
| ~ spl64_478
| ~ spl64_1814
| ~ spl64_2726 ),
inference(unit_resulting_resolution,[],[f1053,f473,f10935,f35372,f50650]) ).
fof(f51219,plain,
( ~ spl64_478
| ~ spl64_1814
| ~ spl64_2726 ),
inference(avatar_contradiction_clause,[],[f51215]) ).
fof(f51226,plain,
( rR(sK2,sK11,sK10)
| sK2 = sK11
| vd684 = vangle(sK11,sK2,sK10)
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f48794,f485]) ).
fof(f51228,plain,
( vd684 = vangle(sK11,sK2,sK10)
| ~ spl64_2216 ),
inference(avatar_component_clause,[],[f40683]) ).
fof(f51229,plain,
( spl64_2216
| spl64_16
| spl64_2618
| ~ spl64_2215 ),
inference(avatar_split_clause,[],[f51226,f40680,f48878,f1757,f40683]) ).
fof(f51234,definition,
( spl64_2765
<=> rR(sK2,sK10,sK11) ),
introduced(definition,[new_symbols(definition,[spl64_2765])],[avatar_definition]) ).
fof(f51235,plain,
( rR(sK2,sK10,sK11)
| ~ spl64_2765 ),
inference(avatar_component_clause,[],[f51234]) ).
fof(f52980,definition,
( spl64_2836
<=> ! [X0] :
( ~ ron(sK10,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_2836])],[avatar_definition]) ).
fof(f52981,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0) )
| ~ spl64_2836 ),
inference(avatar_component_clause,[],[f52980]) ).
fof(f53010,plain,
( ~ ron(sK10,sK12(sK11,sK2))
| ~ ron(sK2,sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_2836 ),
inference(resolution,[],[f52981,f49080]) ).
fof(f53012,plain,
( ~ ron(sK2,sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_2836 ),
inference(forward_subsumption_resolution,[],[f53010,f49082]) ).
fof(f53013,plain,
( $false
| ~ spl64_2607
| ~ spl64_2836 ),
inference(forward_subsumption_resolution,[],[f53012,f49081]) ).
fof(f53014,plain,
( ~ spl64_2607
| ~ spl64_2836 ),
inference(avatar_contradiction_clause,[],[f53013]) ).
fof(f53062,plain,
( ! [X0,X1] :
( sK2 = sK10
| sK2 = X0
| sK2 = sK11
| X0 = X1
| ~ rpoint(X1)
| rR(sK2,X0,X1)
| rR(sK2,sK11,sK10)
| sK2 = X1
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| sK2 = sK10
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_2215 ),
inference(resolution,[],[f48801,f799]) ).
fof(f53067,plain,
( ! [X0,X1] :
( sK2 = sK10
| sK2 = X0
| sK2 = sK11
| X0 = X1
| ~ rpoint(X1)
| rR(sK2,X0,X1)
| rR(sK2,sK11,sK10)
| sK2 = X1
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK10) )
| ~ spl64_2215 ),
inference(duplicate_literal_removal,[],[f53062]) ).
fof(f53068,plain,
( ! [X0,X1] :
( sK2 = X0
| sK2 = sK11
| X0 = X1
| ~ rpoint(X1)
| rR(sK2,X0,X1)
| rR(sK2,sK11,sK10)
| sK2 = X1
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK10) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f53067,f761]) ).
fof(f53069,plain,
( ! [X0,X1] :
( sK2 = X0
| sK2 = sK11
| X0 = X1
| ~ rpoint(X1)
| rR(sK2,X0,X1)
| rR(sK2,sK11,sK10)
| sK2 = X1
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ rpoint(X0)
| ~ rpoint(sK10) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f53068,f473]) ).
fof(f53070,plain,
( ! [X0,X1] :
( sK2 = X0
| sK2 = sK11
| X0 = X1
| ~ rpoint(X1)
| rR(sK2,X0,X1)
| rR(sK2,sK11,sK10)
| sK2 = X1
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ rpoint(X0) )
| ~ spl64_2215 ),
inference(forward_subsumption_resolution,[],[f53069,f483]) ).
fof(f53072,definition,
( spl64_2837
<=> ! [X0,X1] :
( sK2 = X0
| ~ rpoint(X0)
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| sK2 = X1
| rR(sK2,X0,X1)
| ~ rpoint(X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl64_2837])],[avatar_definition]) ).
fof(f53073,plain,
( ! [X0,X1] :
( rR(sK2,X0,X1)
| ~ rpoint(X0)
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| X0 = X1 )
| ~ spl64_2837 ),
inference(avatar_component_clause,[],[f53072]) ).
fof(f53074,plain,
( spl64_2618
| spl64_16
| spl64_2837
| ~ spl64_2215 ),
inference(avatar_split_clause,[],[f53070,f40680,f53072,f1757,f48878]) ).
fof(f53084,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rcircle(X2)
| ~ rinside(X0,X2)
| ~ ron(X1,X2)
| rinside(sK2,X2) )
| ~ spl64_6
| ~ spl64_2837 ),
inference(resolution,[],[f53073,f1629]) ).
fof(f53091,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(sK2)
| ~ rcircle(X2)
| ~ rinside(X0,X2)
| ~ ron(X1,X2)
| rinside(sK2,X2) )
| ~ spl64_6
| ~ spl64_2837 ),
inference(duplicate_literal_removal,[],[f53084]) ).
fof(f53102,plain,
( ! [X2,X0,X1] :
( ~ rcircle(X2)
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rinside(X0,X2)
| ~ ron(X1,X2)
| rinside(sK2,X2) )
| ~ spl64_6
| ~ spl64_2837 ),
inference(forward_subsumption_resolution,[],[f53091,f473]) ).
fof(f53185,plain,
( ! [X0,X1] :
( rR(sK2,X0,X1)
| ~ ron(X0,sK12(sK11,sK2))
| ~ ron(X1,sK12(sK11,sK2))
| sK2 = X1
| sK2 = X0
| vd684 = vangle(X0,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl64_2607 ),
inference(resolution,[],[f49077,f49081]) ).
fof(f53194,plain,
( ! [X0,X1] :
( ~ ron(X0,sK12(sK11,sK2))
| rR(sK2,X0,X1)
| ~ ron(X1,sK12(sK11,sK2))
| sK2 = X1
| sK2 = X0
| vd684 = vangle(X0,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f53185,f473]) ).
fof(f53649,plain,
( ! [X0,X1] :
( vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| sK2 = X1
| sK2 = X0
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rinside(X0,sK26(sK10,sK2))
| ~ ron(X1,sK26(sK10,sK2))
| rinside(sK2,sK26(sK10,sK2)) )
| ~ spl64_6
| ~ spl64_278
| ~ spl64_2837 ),
inference(resolution,[],[f53102,f6621]) ).
fof(f53765,plain,
( ! [X0] :
( rR(sK2,sK11,X0)
| ~ ron(X0,sK12(sK11,sK2))
| sK2 = X0
| sK2 = sK11
| vd684 = vangle(sK11,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK11)
| sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2607 ),
inference(resolution,[],[f53194,f799]) ).
fof(f53772,plain,
( ! [X0] :
( rR(sK2,sK11,X0)
| ~ ron(X0,sK12(sK11,sK2))
| sK2 = X0
| sK2 = sK11
| vd684 = vangle(sK11,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK11)
| ~ rpoint(sK2) )
| ~ spl64_2607 ),
inference(duplicate_literal_removal,[],[f53765]) ).
fof(f53776,plain,
( ! [X0] :
( rR(sK2,sK11,X0)
| ~ ron(X0,sK12(sK11,sK2))
| sK2 = X0
| sK2 = sK11
| vd684 = vangle(sK11,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f53772,f485]) ).
fof(f53778,definition,
( spl64_2847
<=> ! [X0] :
( rR(sK2,sK11,X0)
| ~ rpoint(X0)
| vd684 = vangle(sK11,sK2,X0)
| sK2 = X0
| ~ ron(X0,sK12(sK11,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_2847])],[avatar_definition]) ).
fof(f53779,plain,
( ! [X0] :
( ~ ron(X0,sK12(sK11,sK2))
| ~ rpoint(X0)
| vd684 = vangle(sK11,sK2,X0)
| sK2 = X0
| rR(sK2,sK11,X0) )
| ~ spl64_2847 ),
inference(avatar_component_clause,[],[f53778]) ).
fof(f53786,plain,
( ! [X0] :
( rR(sK2,sK11,X0)
| ~ ron(X0,sK12(sK11,sK2))
| sK2 = X0
| sK2 = sK11
| vd684 = vangle(sK11,sK2,X0)
| ~ rpoint(X0) )
| ~ spl64_2607 ),
inference(forward_subsumption_resolution,[],[f53776,f473]) ).
fof(f53787,plain,
( spl64_16
| spl64_2847
| ~ spl64_2607 ),
inference(avatar_split_clause,[],[f53786,f48832,f53778,f1757]) ).
fof(f54058,definition,
( spl64_2851
<=> rR(sK11,sK2,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_2851])],[avatar_definition]) ).
fof(f54059,plain,
( rR(sK11,sK2,sK10)
| ~ spl64_2851 ),
inference(avatar_component_clause,[],[f54058]) ).
fof(f54069,definition,
( spl64_2852
<=> ! [X0,X1] :
( X0 = X1
| ~ rpoint(X1)
| vangle(sK2,sK11,X0) = vangle(sK10,sK11,X0)
| sK11 = X0
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_2852])],[avatar_definition]) ).
fof(f54070,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(sK2,sK11,X0) = vangle(sK10,sK11,X0)
| sK11 = X0
| X0 = X1 )
| ~ spl64_2852 ),
inference(avatar_component_clause,[],[f54069]) ).
fof(f54187,plain,
( ! [X0] :
( ~ rpoint(sK11)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_6
| ~ spl64_2617 ),
inference(resolution,[],[f48875,f1629]) ).
fof(f54190,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_6
| ~ spl64_2617 ),
inference(forward_subsumption_resolution,[],[f54187,f485]) ).
fof(f54198,plain,
( ! [X0] :
( ~ rpoint(sK10)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_6
| ~ spl64_2617 ),
inference(forward_subsumption_resolution,[],[f54190,f473]) ).
fof(f54206,plain,
( ! [X0] :
( ~ rinside(sK11,X0)
| ~ rcircle(X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_6
| ~ spl64_2617 ),
inference(forward_subsumption_resolution,[],[f54198,f483]) ).
fof(f54314,plain,
( rR(sK10,sK11,sK2)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2632 ),
inference(resolution,[],[f49366,f975]) ).
fof(f54402,plain,
( ! [X0] :
( vd684 != vangle(sK2,sK11,sK10)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2851 ),
inference(resolution,[],[f54059,f1090]) ).
fof(f54413,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2189
| ~ spl64_2851 ),
inference(forward_subsumption_resolution,[],[f54402,f43131]) ).
fof(f54422,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK11) )
| ~ spl64_2189
| ~ spl64_2851 ),
inference(forward_subsumption_resolution,[],[f54413,f483]) ).
fof(f54431,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0)
| ~ rpoint(sK11) )
| ~ spl64_2189
| ~ spl64_2851 ),
inference(forward_subsumption_resolution,[],[f54422,f473]) ).
fof(f54436,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK11,X0)
| sK10 = sK11
| sK2 = sK11
| ~ rline(X0) )
| ~ spl64_2189
| ~ spl64_2851 ),
inference(forward_subsumption_resolution,[],[f54431,f485]) ).
fof(f54442,definition,
( spl64_2857
<=> ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK11,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_2857])],[avatar_definition]) ).
fof(f54443,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK11,X0) )
| ~ spl64_2857 ),
inference(avatar_component_clause,[],[f54442]) ).
fof(f54444,plain,
( spl64_16
| spl64_13
| spl64_2857
| ~ spl64_2189
| ~ spl64_2851 ),
inference(avatar_split_clause,[],[f54436,f54058,f40576,f54442,f1663,f1757]) ).
fof(f55523,definition,
( spl64_2896
<=> ron(sK11,sK12(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_2896])],[avatar_definition]) ).
fof(f55524,plain,
( ron(sK11,sK12(sK11,sK2))
| ~ spl64_2896 ),
inference(avatar_component_clause,[],[f55523]) ).
fof(f55763,plain,
( rR(sK2,sK11,sK10)
| ~ rpoint(sK11)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_2765 ),
inference(resolution,[],[f51235,f975]) ).
fof(f55776,plain,
( rR(sK2,sK11,sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_2765 ),
inference(forward_subsumption_resolution,[],[f55763,f485]) ).
fof(f55785,plain,
( rR(sK2,sK11,sK10)
| ~ rpoint(sK10)
| ~ spl64_2765 ),
inference(forward_subsumption_resolution,[],[f55776,f473]) ).
fof(f55794,plain,
( rR(sK2,sK11,sK10)
| ~ spl64_2765 ),
inference(forward_subsumption_resolution,[],[f55785,f483]) ).
fof(f55799,plain,
( spl64_2618
| ~ spl64_2765 ),
inference(avatar_split_clause,[],[f55794,f51234,f48878]) ).
fof(f56007,plain,
( spl64_2851
| ~ spl64_2310 ),
inference(avatar_split_clause,[],[f42940,f42806,f54058]) ).
fof(f56013,definition,
( spl64_2900
<=> ron(sK2,sK26(sK10,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_2900])],[avatar_definition]) ).
fof(f56014,plain,
( ~ ron(sK2,sK26(sK10,sK2))
| spl64_2900 ),
inference(avatar_component_clause,[],[f56013]) ).
fof(f56038,plain,
( spl64_293
| ~ spl64_2900
| ~ spl64_6
| ~ spl64_277
| ~ spl64_278
| ~ spl64_2310 ),
inference(avatar_split_clause,[],[f47275,f42806,f6620,f6616,f1628,f56013,f7419]) ).
fof(f56126,definition,
( spl64_2912
<=> ! [X0,X1] :
( vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ ron(X1,sK26(sK10,sK2))
| ~ rinside(X0,sK26(sK10,sK2))
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| sK2 = X0
| sK2 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl64_2912])],[avatar_definition]) ).
fof(f56127,plain,
( ! [X0,X1] :
( ~ rinside(X0,sK26(sK10,sK2))
| ~ ron(X1,sK26(sK10,sK2))
| vangle(sK11,sK2,X0) = vangle(sK10,sK2,X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| sK2 = X0
| sK2 = X1 )
| ~ spl64_2912 ),
inference(avatar_component_clause,[],[f56126]) ).
fof(f56128,plain,
( spl64_295
| spl64_2912
| ~ spl64_6
| ~ spl64_278
| ~ spl64_2837 ),
inference(avatar_split_clause,[],[f53649,f53072,f6620,f1628,f56126,f7430]) ).
fof(f56191,definition,
( spl64_2918
<=> sK2 = vskolem1052(sK2,sK2,sK10,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_2918])],[avatar_definition]) ).
fof(f56192,plain,
( sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ spl64_2918 ),
inference(avatar_component_clause,[],[f56191]) ).
fof(f59741,plain,
( ~ ron(sK2,sK26(sK10,sK2))
| ~ rpoint(sK2)
| ~ spl64_278
| ~ spl64_295 ),
inference(resolution,[],[f7431,f7993]) ).
fof(f59768,plain,
( ~ ron(sK2,sK26(sK10,sK2))
| ~ spl64_278
| ~ spl64_295 ),
inference(forward_subsumption_resolution,[],[f59741,f473]) ).
fof(f59773,plain,
( ~ spl64_2900
| ~ spl64_278
| ~ spl64_295 ),
inference(avatar_split_clause,[],[f59768,f7430,f6620,f56013]) ).
fof(f59778,plain,
( sK2 = sK10
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| spl64_2900 ),
inference(resolution,[],[f56014,f1069]) ).
fof(f59785,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK10)
| spl64_2900 ),
inference(forward_subsumption_resolution,[],[f59778,f761]) ).
fof(f59788,plain,
( ~ rpoint(sK10)
| spl64_2900 ),
inference(forward_subsumption_resolution,[],[f59785,f473]) ).
fof(f59793,plain,
( $false
| spl64_2900 ),
inference(forward_subsumption_resolution,[],[f59788,f483]) ).
fof(f59794,plain,
spl64_2900,
inference(avatar_contradiction_clause,[],[f59793]) ).
fof(f60027,plain,
( ron(sK2,sK26(sK10,sK2))
| ~ spl64_2900 ),
inference(avatar_component_clause,[],[f56013]) ).
fof(f61664,plain,
( ~ rcircle(sK26(sK11,sK2))
| ~ ron(sK2,sK26(sK11,sK2))
| rinside(sK10,sK26(sK11,sK2))
| ~ spl64_6
| ~ spl64_477
| ~ spl64_2617 ),
inference(resolution,[],[f54206,f10931]) ).
fof(f61669,plain,
( ~ ron(sK2,sK26(sK11,sK2))
| rinside(sK10,sK26(sK11,sK2))
| ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_2617 ),
inference(forward_subsumption_resolution,[],[f61664,f10935]) ).
fof(f61671,plain,
( rinside(sK10,sK26(sK11,sK2))
| ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_1814
| ~ spl64_2617 ),
inference(forward_subsumption_resolution,[],[f61669,f35372]) ).
fof(f61672,plain,
( $false
| ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_480
| ~ spl64_1814
| ~ spl64_2617 ),
inference(unit_resulting_resolution,[],[f1053,f483,f10935,f10943,f61671]) ).
fof(f61675,plain,
( ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_480
| ~ spl64_1814
| ~ spl64_2617 ),
inference(avatar_contradiction_clause,[],[f61672]) ).
fof(f61727,plain,
( rR(sK10,sK11,sK2)
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ spl64_2632 ),
inference(forward_subsumption_resolution,[],[f54314,f485]) ).
fof(f61878,plain,
( rR(sK10,sK11,sK2)
| ~ rpoint(sK2)
| ~ spl64_2632 ),
inference(forward_subsumption_resolution,[],[f61727,f483]) ).
fof(f61966,plain,
( rR(sK10,sK11,sK2)
| ~ spl64_2632 ),
inference(forward_subsumption_resolution,[],[f61878,f473]) ).
fof(f62009,plain,
( spl64_2617
| ~ spl64_2632 ),
inference(avatar_split_clause,[],[f61966,f49365,f48874]) ).
fof(f63165,definition,
( spl64_3408
<=> ! [X0] :
( ~ rpoint(X0)
| sK10 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl64_3408])],[avatar_definition]) ).
fof(f63166,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK10 = X0 )
| ~ spl64_3408 ),
inference(avatar_component_clause,[],[f63165]) ).
fof(f63463,plain,
( ! [X0] :
( ~ rpoint(X0)
| vangle(sK2,sK11,sK10) = vangle(sK10,sK11,sK10)
| sK10 = sK11
| sK10 = X0 )
| ~ spl64_2852 ),
inference(resolution,[],[f54070,f483]) ).
fof(f63467,plain,
( ! [X0] :
( vd684 = vangle(sK2,sK11,sK10)
| ~ rpoint(X0)
| sK10 = sK11
| sK10 = X0 )
| ~ spl64_61
| ~ spl64_2852 ),
inference(forward_demodulation,[],[f63463,f2308]) ).
fof(f63488,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK10 = sK11
| sK10 = X0 )
| ~ spl64_61
| spl64_2189
| ~ spl64_2852 ),
inference(forward_subsumption_resolution,[],[f63467,f40577]) ).
fof(f63494,plain,
( spl64_13
| spl64_3408
| ~ spl64_61
| spl64_2189
| ~ spl64_2852 ),
inference(avatar_split_clause,[],[f63488,f54069,f40576,f2307,f63165,f1663]) ).
fof(f76094,plain,
( sK2 = sK10
| ~ spl64_3408 ),
inference(resolution,[],[f63166,f473]) ).
fof(f76125,plain,
( $false
| ~ spl64_3408 ),
inference(forward_subsumption_resolution,[],[f76094,f761]) ).
fof(f76126,plain,
~ spl64_3408,
inference(avatar_contradiction_clause,[],[f76125]) ).
fof(f77947,plain,
( ! [X0] :
( ~ ron(X0,sK26(sK10,sK2))
| vangle(sK10,sK2,X0) = vangle(sK11,sK2,sK10)
| ~ rpoint(sK10)
| sK10 = X0
| ~ rpoint(X0)
| sK2 = sK10
| sK2 = X0 )
| ~ spl64_277
| ~ spl64_2912 ),
inference(resolution,[],[f56127,f6617]) ).
fof(f77954,plain,
( ! [X0] :
( ~ ron(X0,sK26(sK10,sK2))
| vangle(sK10,sK2,X0) = vangle(sK11,sK2,sK10)
| sK10 = X0
| ~ rpoint(X0)
| sK2 = sK10
| sK2 = X0 )
| ~ spl64_277
| ~ spl64_2912 ),
inference(forward_subsumption_resolution,[],[f77947,f483]) ).
fof(f77960,plain,
( ! [X0] :
( ~ ron(X0,sK26(sK10,sK2))
| vangle(sK10,sK2,X0) = vangle(sK11,sK2,sK10)
| sK10 = X0
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl64_277
| ~ spl64_2912 ),
inference(forward_subsumption_resolution,[],[f77954,f761]) ).
fof(f77975,plain,
( ! [X0] :
( ~ ron(X0,sK26(sK10,sK2))
| vd684 = vangle(sK10,sK2,X0)
| sK10 = X0
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl64_277
| ~ spl64_2216
| ~ spl64_2912 ),
inference(forward_demodulation,[],[f77960,f51228]) ).
fof(f77983,plain,
( vd684 = vangle(sK10,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ spl64_277
| ~ spl64_280
| ~ spl64_2216
| ~ spl64_2912 ),
inference(resolution,[],[f77975,f6629]) ).
fof(f77989,definition,
( spl64_4783
<=> vd684 = vangle(sK10,sK2,vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_4783])],[avatar_definition]) ).
fof(f77990,plain,
( vd684 = vangle(sK10,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4783 ),
inference(avatar_component_clause,[],[f77989]) ).
fof(f77991,plain,
( spl64_2918
| ~ spl64_271
| spl64_269
| spl64_4783
| ~ spl64_277
| ~ spl64_280
| ~ spl64_2216
| ~ spl64_2912 ),
inference(avatar_split_clause,[],[f77983,f56126,f40683,f6628,f6616,f77989,f6537,f6543,f56191]) ).
fof(f78006,plain,
( vf(sK2,sK2) = vf(sK10,sK2)
| ~ spl64_2918 ),
inference(superposition,[],[f5264,f56192]) ).
fof(f78009,plain,
( vf(sK2,sK2) = sK20(sK10,sK2)
| ~ spl64_2918 ),
inference(forward_demodulation,[],[f78006,f5597]) ).
fof(f78012,plain,
( vf(sK2,sK2) = sK20(sK2,sK10)
| ~ spl64_2918 ),
inference(forward_demodulation,[],[f78009,f5633]) ).
fof(f78013,plain,
( vd684 = sK20(sK2,sK10)
| ~ spl64_2918 ),
inference(forward_demodulation,[],[f78012,f1677]) ).
fof(f78014,plain,
( $false
| ~ spl64_2918 ),
inference(forward_subsumption_resolution,[],[f78013,f5637]) ).
fof(f78015,plain,
~ spl64_2918,
inference(avatar_contradiction_clause,[],[f78014]) ).
fof(f78016,plain,
( ! [X0] :
( vd684 != vd684
| ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK10
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_4783 ),
inference(superposition,[],[f1094,f77990]) ).
fof(f78017,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK10
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_4783 ),
inference(trivial_inequality_removal,[],[f78016]) ).
fof(f78018,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK10
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_4783 ),
inference(forward_subsumption_resolution,[],[f78017,f919]) ).
fof(f78019,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_4783 ),
inference(forward_subsumption_resolution,[],[f78018,f761]) ).
fof(f78020,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rline(X0)
| ~ rpoint(sK2) )
| ~ spl64_4783 ),
inference(forward_subsumption_resolution,[],[f78019,f483]) ).
fof(f78021,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rline(X0) )
| ~ spl64_4783 ),
inference(forward_subsumption_resolution,[],[f78020,f473]) ).
fof(f78023,definition,
( spl64_4785
<=> ! [X0] :
( ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_4785])],[avatar_definition]) ).
fof(f78024,plain,
( ! [X0] :
( ~ rline(X0)
| ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| ~ ron(sK10,X0) )
| ~ spl64_4785 ),
inference(avatar_component_clause,[],[f78023]) ).
fof(f78025,plain,
( spl64_2918
| spl64_4785
| ~ spl64_4783 ),
inference(avatar_split_clause,[],[f78021,f77989,f78023,f56191]) ).
fof(f78030,plain,
( ! [X0,X1] :
( ~ ron(sK10,sK12(X0,X1))
| ~ ron(sK2,sK12(X0,X1))
| ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_4785 ),
inference(resolution,[],[f78024,f801]) ).
fof(f78031,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK11,sK2))
| ~ ron(sK2,sK12(sK11,sK2))
| ~ ron(sK10,sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_4785 ),
inference(resolution,[],[f78024,f49080]) ).
fof(f78049,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK11,sK2))
| ~ ron(sK10,sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f78031,f49081]) ).
fof(f78050,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f78049,f49082]) ).
fof(f78059,plain,
( ! [X0,X1] :
( sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| X0 = X1
| ~ rpoint(X0)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| vangle(sK2,vskolem1052(sK2,sK2,sK10,sK10),X0) = vangle(sK10,vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ rpoint(X1)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10)) )
| ~ spl64_2607
| ~ spl64_4785 ),
inference(resolution,[],[f78050,f49047]) ).
fof(f78070,plain,
( ! [X0] :
( rR(vskolem1052(sK2,sK2,sK10,sK10),X0,sK2)
| ~ ron(X0,sK12(sK11,sK2))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| vd684 = vangle(X0,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| ~ rpoint(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10)) )
| ~ spl64_2607
| ~ spl64_4785 ),
inference(resolution,[],[f78050,f49074]) ).
fof(f78100,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| vd684 = vangle(sK11,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| rR(sK2,sK11,vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_2607
| ~ spl64_2847
| ~ spl64_4785 ),
inference(resolution,[],[f78050,f53779]) ).
fof(f78216,definition,
( spl64_4794
<=> sK11 = vskolem1052(sK2,sK2,sK10,sK10) ),
introduced(definition,[new_symbols(definition,[spl64_4794])],[avatar_definition]) ).
fof(f78217,plain,
( sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ spl64_4794 ),
inference(avatar_component_clause,[],[f78216]) ).
fof(f78280,definition,
( spl64_4811
<=> rR(sK2,sK11,vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_4811])],[avatar_definition]) ).
fof(f78281,plain,
( rR(sK2,sK11,vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4811 ),
inference(avatar_component_clause,[],[f78280]) ).
fof(f78283,definition,
( spl64_4812
<=> vd684 = vangle(sK11,sK2,vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_4812])],[avatar_definition]) ).
fof(f78284,plain,
( vd684 = vangle(sK11,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4812 ),
inference(avatar_component_clause,[],[f78283]) ).
fof(f78285,plain,
( spl64_4811
| spl64_2918
| spl64_4812
| ~ spl64_271
| ~ spl64_2607
| ~ spl64_2847
| ~ spl64_4785 ),
inference(avatar_split_clause,[],[f78100,f78023,f53778,f48832,f6543,f78283,f56191,f78280]) ).
fof(f78419,definition,
( spl64_4848
<=> ! [X0] :
( rR(vskolem1052(sK2,sK2,sK10,sK10),X0,sK2)
| ~ rpoint(X0)
| vd684 = vangle(X0,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| ~ ron(X0,sK12(sK11,sK2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_4848])],[avatar_definition]) ).
fof(f78420,plain,
( ! [X0] :
( ~ ron(X0,sK12(sK11,sK2))
| ~ rpoint(X0)
| vd684 = vangle(X0,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| rR(vskolem1052(sK2,sK2,sK10,sK10),X0,sK2) )
| ~ spl64_4848 ),
inference(avatar_component_clause,[],[f78419]) ).
fof(f78421,plain,
( ~ spl64_271
| spl64_2918
| spl64_4848
| ~ spl64_2607
| ~ spl64_4785 ),
inference(avatar_split_clause,[],[f78070,f78023,f48832,f78419,f56191,f6543]) ).
fof(f78426,definition,
( spl64_4850
<=> rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10) ),
introduced(definition,[new_symbols(definition,[spl64_4850])],[avatar_definition]) ).
fof(f78427,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10)
| ~ spl64_4850 ),
inference(avatar_component_clause,[],[f78426]) ).
fof(f78433,definition,
( spl64_4852
<=> rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2) ),
introduced(definition,[new_symbols(definition,[spl64_4852])],[avatar_definition]) ).
fof(f78434,plain,
( rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| ~ spl64_4852 ),
inference(avatar_component_clause,[],[f78433]) ).
fof(f78437,definition,
( spl64_4853
<=> rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_4853])],[avatar_definition]) ).
fof(f78438,plain,
( rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| ~ spl64_4853 ),
inference(avatar_component_clause,[],[f78437]) ).
fof(f78465,definition,
( spl64_4860
<=> ! [X0,X1] :
( X0 = X1
| ~ rpoint(X1)
| vangle(sK2,vskolem1052(sK2,sK2,sK10,sK10),X0) = vangle(sK10,vskolem1052(sK2,sK2,sK10,sK10),X0)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_4860])],[avatar_definition]) ).
fof(f78466,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| vangle(sK2,vskolem1052(sK2,sK2,sK10,sK10),X0) = vangle(sK10,vskolem1052(sK2,sK2,sK10,sK10),X0)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| X0 = X1 )
| ~ spl64_4860 ),
inference(avatar_component_clause,[],[f78465]) ).
fof(f78468,plain,
( ~ spl64_271
| spl64_2918
| spl64_4853
| spl64_4860
| spl64_269
| ~ spl64_2607
| ~ spl64_4785 ),
inference(avatar_split_clause,[],[f78059,f78023,f48832,f6537,f78465,f78437,f56191,f6543]) ).
fof(f78531,definition,
( spl64_4867
<=> rR(vskolem1052(sK2,sK2,sK10,sK10),sK11,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_4867])],[avatar_definition]) ).
fof(f78532,plain,
( rR(vskolem1052(sK2,sK2,sK10,sK10),sK11,sK2)
| ~ spl64_4867 ),
inference(avatar_component_clause,[],[f78531]) ).
fof(f78690,plain,
( ! [X0,X1] :
( vangle(sK2,sK11,X0) = vangle(sK10,sK11,X0)
| X0 = X1
| ~ rpoint(X1)
| vskolem1052(sK2,sK2,sK10,sK10) = X0
| ~ rpoint(X0) )
| ~ spl64_4794
| ~ spl64_4860 ),
inference(forward_demodulation,[],[f78466,f78217]) ).
fof(f78730,plain,
( ! [X0,X1] :
( sK11 = X0
| vangle(sK2,sK11,X0) = vangle(sK10,sK11,X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl64_4794
| ~ spl64_4860 ),
inference(forward_demodulation,[],[f78690,f78217]) ).
fof(f78755,plain,
( spl64_2852
| ~ spl64_4794
| ~ spl64_4860 ),
inference(avatar_split_clause,[],[f78730,f78465,f78216,f54069]) ).
fof(f79664,plain,
( ! [X0] :
( ~ rpoint(sK11)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_4811 ),
inference(resolution,[],[f78281,f1629]) ).
fof(f79666,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK2)
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_4811 ),
inference(forward_subsumption_resolution,[],[f79664,f485]) ).
fof(f79673,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| rinside(sK2,X0) )
| ~ spl64_6
| ~ spl64_4811 ),
inference(forward_subsumption_resolution,[],[f79666,f473]) ).
fof(f79681,definition,
( spl64_4983
<=> ! [X0] :
( ~ rcircle(X0)
| rinside(sK2,X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ rinside(sK11,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_4983])],[avatar_definition]) ).
fof(f79682,plain,
( ! [X0] :
( ~ rinside(sK11,X0)
| rinside(sK2,X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ rcircle(X0) )
| ~ spl64_4983 ),
inference(avatar_component_clause,[],[f79681]) ).
fof(f79683,plain,
( spl64_4983
| ~ spl64_271
| ~ spl64_6
| ~ spl64_4811 ),
inference(avatar_split_clause,[],[f79673,f78280,f1628,f6543,f79681]) ).
fof(f79906,plain,
( ! [X0] :
( ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK10,X0)
| ~ ron(sK2,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0) )
| ~ spl64_6
| ~ spl64_4853 ),
inference(resolution,[],[f78438,f1629]) ).
fof(f79908,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK10,X0)
| ~ ron(sK2,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0) )
| ~ spl64_6
| ~ spl64_4853 ),
inference(forward_subsumption_resolution,[],[f79906,f483]) ).
fof(f79916,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK10,X0)
| ~ ron(sK2,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0) )
| ~ spl64_6
| ~ spl64_4853 ),
inference(forward_subsumption_resolution,[],[f79908,f473]) ).
fof(f79925,definition,
( spl64_5007
<=> ! [X0] :
( ~ rcircle(X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| ~ rinside(sK10,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_5007])],[avatar_definition]) ).
fof(f79926,plain,
( ! [X0] :
( ~ rinside(sK10,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| ~ rcircle(X0) )
| ~ spl64_5007 ),
inference(avatar_component_clause,[],[f79925]) ).
fof(f79927,plain,
( spl64_5007
| ~ spl64_271
| ~ spl64_6
| ~ spl64_4853 ),
inference(avatar_split_clause,[],[f79916,f78437,f1628,f6543,f79925]) ).
fof(f80388,plain,
( ! [X0] :
( ~ rpoint(sK11)
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK2,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0) )
| ~ spl64_6
| ~ spl64_4867 ),
inference(resolution,[],[f78532,f1629]) ).
fof(f80390,plain,
( ! [X0] :
( ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK2,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0) )
| ~ spl64_6
| ~ spl64_4867 ),
inference(forward_subsumption_resolution,[],[f80388,f485]) ).
fof(f80396,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ rinside(sK11,X0)
| ~ ron(sK2,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0) )
| ~ spl64_6
| ~ spl64_4867 ),
inference(forward_subsumption_resolution,[],[f80390,f473]) ).
fof(f80403,definition,
( spl64_5051
<=> ! [X0] :
( ~ rcircle(X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| ~ rinside(sK11,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_5051])],[avatar_definition]) ).
fof(f80404,plain,
( ! [X0] :
( ~ rinside(sK11,X0)
| rinside(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| ~ rcircle(X0) )
| ~ spl64_5051 ),
inference(avatar_component_clause,[],[f80403]) ).
fof(f80405,plain,
( spl64_5051
| ~ spl64_271
| ~ spl64_6
| ~ spl64_4867 ),
inference(avatar_split_clause,[],[f80396,f78531,f1628,f6543,f80403]) ).
fof(f80416,definition,
( spl64_5054
<=> vd684 = vangle(sK11,vskolem1052(sK2,sK2,sK10,sK10),sK2) ),
introduced(definition,[new_symbols(definition,[spl64_5054])],[avatar_definition]) ).
fof(f80510,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ rcircle(X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_7
| ~ spl64_4852 ),
inference(resolution,[],[f78434,f1633]) ).
fof(f80511,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ rcircle(X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_7
| ~ spl64_4852 ),
inference(forward_subsumption_resolution,[],[f80510,f473]) ).
fof(f80519,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rcircle(X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| ~ ron(sK2,X0)
| rinside(sK10,X0) )
| ~ spl64_7
| ~ spl64_4852 ),
inference(forward_subsumption_resolution,[],[f80511,f483]) ).
fof(f80528,definition,
( spl64_5066
<=> ! [X0] :
( ~ rcircle(X0)
| rinside(sK10,X0)
| ~ ron(sK2,X0)
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_5066])],[avatar_definition]) ).
fof(f80529,plain,
( ! [X0] :
( ~ ron(vskolem1052(sK2,sK2,sK10,sK10),X0)
| rinside(sK10,X0)
| ~ ron(sK2,X0)
| ~ rcircle(X0) )
| ~ spl64_5066 ),
inference(avatar_component_clause,[],[f80528]) ).
fof(f80530,plain,
( spl64_5066
| ~ spl64_271
| ~ spl64_7
| ~ spl64_4852 ),
inference(avatar_split_clause,[],[f80519,f78433,f1632,f6543,f80528]) ).
fof(f85644,plain,
( rinside(sK2,sK26(sK10,sK2))
| ~ ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ rcircle(sK26(sK10,sK2))
| ~ spl64_293
| ~ spl64_4983 ),
inference(resolution,[],[f79682,f7420]) ).
fof(f85652,plain,
( rinside(sK2,sK26(sK10,sK2))
| ~ rcircle(sK26(sK10,sK2))
| ~ spl64_280
| ~ spl64_293
| ~ spl64_4983 ),
inference(forward_subsumption_resolution,[],[f85644,f6629]) ).
fof(f85663,plain,
( rinside(sK2,sK26(sK10,sK2))
| ~ spl64_278
| ~ spl64_280
| ~ spl64_293
| ~ spl64_4983 ),
inference(forward_subsumption_resolution,[],[f85652,f6621]) ).
fof(f85665,definition,
( spl64_5586
<=> ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_5586])],[avatar_definition]) ).
fof(f85666,plain,
( ~ ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK11,sK2))
| spl64_5586 ),
inference(avatar_component_clause,[],[f85665]) ).
fof(f85668,plain,
( spl64_295
| ~ spl64_278
| ~ spl64_280
| ~ spl64_293
| ~ spl64_4983 ),
inference(avatar_split_clause,[],[f85663,f79681,f7419,f6628,f6620,f7430]) ).
fof(f85972,plain,
( rinside(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ ron(sK2,sK26(sK10,sK2))
| ~ rcircle(sK26(sK10,sK2))
| ~ spl64_277
| ~ spl64_5007 ),
inference(resolution,[],[f79926,f6617]) ).
fof(f85977,plain,
( rinside(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ rcircle(sK26(sK10,sK2))
| ~ spl64_277
| ~ spl64_2900
| ~ spl64_5007 ),
inference(forward_subsumption_resolution,[],[f85972,f60027]) ).
fof(f85980,plain,
( rinside(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ spl64_277
| ~ spl64_278
| ~ spl64_2900
| ~ spl64_5007 ),
inference(forward_subsumption_resolution,[],[f85977,f6621]) ).
fof(f85987,plain,
( ~ ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_277
| ~ spl64_278
| ~ spl64_2900
| ~ spl64_5007 ),
inference(resolution,[],[f85980,f7993]) ).
fof(f85994,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_277
| ~ spl64_278
| ~ spl64_280
| ~ spl64_2900
| ~ spl64_5007 ),
inference(forward_subsumption_resolution,[],[f85987,f6629]) ).
fof(f86013,plain,
( ~ spl64_271
| ~ spl64_277
| ~ spl64_278
| ~ spl64_280
| ~ spl64_2900
| ~ spl64_5007 ),
inference(avatar_split_clause,[],[f85994,f79925,f56013,f6628,f6620,f6616,f6543]) ).
fof(f89235,definition,
( spl64_5895
<=> rR(sK2,sK10,vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_5895])],[avatar_definition]) ).
fof(f89236,plain,
( rR(sK2,sK10,vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_5895 ),
inference(avatar_component_clause,[],[f89235]) ).
fof(f89246,plain,
( ! [X0] :
( vd684 != vangle(sK10,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK10
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_5895 ),
inference(resolution,[],[f89236,f1090]) ).
fof(f89257,plain,
( ! [X0] :
( vd684 != vangle(sK10,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK10
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_5895 ),
inference(forward_subsumption_resolution,[],[f89246,f919]) ).
fof(f89266,plain,
( ! [X0] :
( ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK10
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_4783
| ~ spl64_5895 ),
inference(forward_subsumption_resolution,[],[f89257,f77990]) ).
fof(f89287,plain,
( ! [X0] :
( ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rline(X0)
| ~ rpoint(sK10)
| ~ rpoint(sK2) )
| ~ spl64_4783
| ~ spl64_5895 ),
inference(forward_subsumption_resolution,[],[f89266,f761]) ).
fof(f89292,plain,
( ! [X0] :
( ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rline(X0)
| ~ rpoint(sK2) )
| ~ spl64_4783
| ~ spl64_5895 ),
inference(forward_subsumption_resolution,[],[f89287,f483]) ).
fof(f89296,plain,
( ! [X0] :
( ~ ron(sK10,X0)
| ~ ron(sK2,X0)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rline(X0) )
| ~ spl64_4783
| ~ spl64_5895 ),
inference(forward_subsumption_resolution,[],[f89292,f473]) ).
fof(f89300,plain,
( spl64_2918
| spl64_2836
| ~ spl64_4783
| ~ spl64_5895 ),
inference(avatar_split_clause,[],[f89296,f89235,f77989,f52980,f56191]) ).
fof(f89576,plain,
( ~ ron(sK2,sK12(sK11,sK2))
| ~ ron(sK11,sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_2857 ),
inference(resolution,[],[f54443,f49080]) ).
fof(f89578,plain,
( ~ ron(sK11,sK12(sK11,sK2))
| ~ spl64_2607
| ~ spl64_2857 ),
inference(forward_subsumption_resolution,[],[f89576,f49081]) ).
fof(f89579,plain,
( $false
| ~ spl64_2607
| ~ spl64_2857
| ~ spl64_2896 ),
inference(forward_subsumption_resolution,[],[f89578,f55524]) ).
fof(f89580,plain,
( ~ spl64_2607
| ~ spl64_2857
| ~ spl64_2896 ),
inference(avatar_contradiction_clause,[],[f89579]) ).
fof(f89868,definition,
( spl64_5912
<=> rinside(sK10,sK26(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_5912])],[avatar_definition]) ).
fof(f89869,plain,
( rinside(sK10,sK26(sK11,sK2))
| ~ spl64_5912 ),
inference(avatar_component_clause,[],[f89868]) ).
fof(f89935,plain,
( ~ rpoint(sK2)
| vf(sK11,sK2) != vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = sK11
| ~ rpoint(sK11)
| spl64_5586 ),
inference(resolution,[],[f85666,f2819]) ).
fof(f89936,plain,
( vf(sK11,sK2) != vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = sK11
| ~ rpoint(sK11)
| spl64_5586 ),
inference(forward_subsumption_resolution,[],[f89935,f473]) ).
fof(f89937,plain,
( vf(sK11,sK2) != vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = sK11
| spl64_5586 ),
inference(forward_subsumption_resolution,[],[f89936,f485]) ).
fof(f90025,plain,
( ~ rpoint(sK11)
| vd684 = vangle(sK11,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK11,sK2)
| sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| ~ spl64_4848 ),
inference(resolution,[],[f78420,f799]) ).
fof(f90033,plain,
( ~ rpoint(sK11)
| vd684 = vangle(sK11,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK11,sK2)
| sK2 = sK11
| ~ rpoint(sK2)
| ~ spl64_4848 ),
inference(duplicate_literal_removal,[],[f90025]) ).
fof(f96266,plain,
( rR(sK2,sK10,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK10)
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4850 ),
inference(resolution,[],[f78427,f975]) ).
fof(f96279,plain,
( rR(sK2,sK10,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4850 ),
inference(forward_subsumption_resolution,[],[f96266,f483]) ).
fof(f96288,plain,
( rR(sK2,sK10,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4850 ),
inference(forward_subsumption_resolution,[],[f96279,f473]) ).
fof(f96306,plain,
( ~ spl64_271
| spl64_5895
| ~ spl64_4850 ),
inference(avatar_split_clause,[],[f96288,f78426,f89235,f6543]) ).
fof(f96381,plain,
( $false
| ~ spl64_478
| ~ spl64_480
| ~ spl64_5912 ),
inference(unit_resulting_resolution,[],[f1053,f483,f10935,f10943,f89869]) ).
fof(f96385,plain,
( ~ spl64_478
| ~ spl64_480
| ~ spl64_5912 ),
inference(avatar_contradiction_clause,[],[f96381]) ).
fof(f100456,plain,
( vd684 = vangle(sK11,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK11,sK2)
| sK2 = sK11
| ~ rpoint(sK2)
| ~ spl64_4848 ),
inference(forward_subsumption_resolution,[],[f90033,f485]) ).
fof(f100767,plain,
( vd684 = vangle(sK11,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| ~ spl64_5054 ),
inference(avatar_component_clause,[],[f80416]) ).
fof(f100769,plain,
( vd684 = vangle(sK11,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK11,sK2)
| sK2 = sK11
| ~ spl64_4848 ),
inference(forward_subsumption_resolution,[],[f100456,f473]) ).
fof(f100937,definition,
( spl64_6993
<=> rline(sK12(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_6993])],[avatar_definition]) ).
fof(f100938,plain,
( rline(sK12(sK11,sK2))
| ~ spl64_6993 ),
inference(avatar_component_clause,[],[f100937]) ).
fof(f101004,definition,
( spl64_7002
<=> ron(sK2,sK12(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_7002])],[avatar_definition]) ).
fof(f101005,plain,
( ron(sK2,sK12(sK11,sK2))
| ~ spl64_7002 ),
inference(avatar_component_clause,[],[f101004]) ).
fof(f101055,definition,
( spl64_7011
<=> ron(sK10,sK12(sK11,sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_7011])],[avatar_definition]) ).
fof(f101056,plain,
( ron(sK10,sK12(sK11,sK2))
| ~ spl64_7011 ),
inference(avatar_component_clause,[],[f101055]) ).
fof(f101176,plain,
( spl64_16
| spl64_4867
| spl64_4794
| spl64_5054
| ~ spl64_4848 ),
inference(avatar_split_clause,[],[f100769,f78419,f80416,f78216,f78531,f1757]) ).
fof(f101878,plain,
( ~ ron(sK11,sK12(sK11,sK2))
| ~ ron(sK2,sK12(sK11,sK2))
| ron(sK10,sK12(sK11,sK2))
| ~ spl64_2239
| ~ spl64_6993 ),
inference(resolution,[],[f100938,f40840]) ).
fof(f101977,plain,
( ~ ron(sK2,sK12(sK11,sK2))
| ron(sK10,sK12(sK11,sK2))
| ~ spl64_2239
| ~ spl64_2896
| ~ spl64_6993 ),
inference(forward_subsumption_resolution,[],[f101878,f55524]) ).
fof(f101992,plain,
( ron(sK10,sK12(sK11,sK2))
| ~ spl64_2239
| ~ spl64_2896
| ~ spl64_6993
| ~ spl64_7002 ),
inference(forward_subsumption_resolution,[],[f101977,f101005]) ).
fof(f102004,plain,
( spl64_7011
| ~ spl64_2239
| ~ spl64_2896
| ~ spl64_6993
| ~ spl64_7002 ),
inference(avatar_split_clause,[],[f101992,f101004,f100937,f55523,f40839,f101055]) ).
fof(f102176,plain,
( rR(sK11,sK10,sK2)
| rR(sK10,sK2,sK11)
| rR(sK2,sK10,sK11)
| sK2 = sK11
| sK10 = sK11
| sK2 = sK10
| ~ rpoint(sK11)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_7011 ),
inference(resolution,[],[f101056,f5439]) ).
fof(f102229,plain,
( rR(sK11,sK10,sK2)
| rR(sK10,sK2,sK11)
| rR(sK2,sK10,sK11)
| sK2 = sK11
| sK10 = sK11
| ~ rpoint(sK11)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_7011 ),
inference(forward_subsumption_resolution,[],[f102176,f761]) ).
fof(f102277,plain,
( rR(sK11,sK10,sK2)
| rR(sK10,sK2,sK11)
| rR(sK2,sK10,sK11)
| sK2 = sK11
| sK10 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_7011 ),
inference(forward_subsumption_resolution,[],[f102229,f485]) ).
fof(f102320,plain,
( rR(sK11,sK10,sK2)
| rR(sK10,sK2,sK11)
| rR(sK2,sK10,sK11)
| sK2 = sK11
| sK10 = sK11
| ~ rpoint(sK10)
| ~ spl64_7011 ),
inference(forward_subsumption_resolution,[],[f102277,f473]) ).
fof(f102368,plain,
( rR(sK11,sK10,sK2)
| rR(sK10,sK2,sK11)
| rR(sK2,sK10,sK11)
| sK2 = sK11
| sK10 = sK11
| ~ spl64_7011 ),
inference(forward_subsumption_resolution,[],[f102320,f483]) ).
fof(f102392,plain,
( spl64_13
| spl64_16
| spl64_2765
| spl64_2632
| spl64_2310
| ~ spl64_7011 ),
inference(avatar_split_clause,[],[f102368,f101055,f42806,f49365,f51234,f1757,f1663]) ).
fof(f102531,plain,
( vd684 != vangle(sK11,sK2,vskolem1052(sK2,sK2,sK10,sK10))
| vf(sK11,sK2) = vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK11
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK11)
| ~ spl64_5054 ),
inference(superposition,[],[f808,f100767]) ).
fof(f102535,plain,
( vf(sK11,sK2) = vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK11
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK11)
| ~ spl64_4812
| ~ spl64_5054 ),
inference(forward_subsumption_resolution,[],[f102531,f78284]) ).
fof(f102537,plain,
( vf(sK11,sK2) = vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK11
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(sK11)
| ~ spl64_4812
| ~ spl64_5054 ),
inference(forward_subsumption_resolution,[],[f102535,f473]) ).
fof(f102539,plain,
( vf(sK11,sK2) = vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK11
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4812
| ~ spl64_5054 ),
inference(forward_subsumption_resolution,[],[f102537,f485]) ).
fof(f102548,plain,
( sK20(sK11,sK2) != vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = sK11
| spl64_5586 ),
inference(forward_demodulation,[],[f89937,f5660]) ).
fof(f102550,plain,
( sK20(sK11,sK2) = vf(sK11,vskolem1052(sK2,sK2,sK10,sK10))
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK2 = sK11
| sK11 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4812
| ~ spl64_5054 ),
inference(forward_demodulation,[],[f102539,f5660]) ).
fof(f102567,definition,
( spl64_7039
<=> sK20(sK11,sK2) = vf(sK11,vskolem1052(sK2,sK2,sK10,sK10)) ),
introduced(definition,[new_symbols(definition,[spl64_7039])],[avatar_definition]) ).
fof(f102569,plain,
( spl64_16
| ~ spl64_271
| ~ spl64_7039
| spl64_5586 ),
inference(avatar_split_clause,[],[f102548,f85665,f102567,f6543,f1757]) ).
fof(f102572,plain,
( ~ spl64_271
| spl64_4794
| spl64_16
| spl64_2918
| spl64_7039
| ~ spl64_4812
| ~ spl64_5054 ),
inference(avatar_split_clause,[],[f102550,f80416,f78283,f102567,f56191,f1757,f78216,f6543]) ).
fof(f102740,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK11,sK2))
| ~ spl64_5586 ),
inference(avatar_component_clause,[],[f85665]) ).
fof(f102751,plain,
( rinside(sK10,sK26(sK11,sK2))
| ~ ron(sK2,sK26(sK11,sK2))
| ~ rcircle(sK26(sK11,sK2))
| ~ spl64_5066
| ~ spl64_5586 ),
inference(resolution,[],[f102740,f80529]) ).
fof(f102769,plain,
( rinside(sK10,sK26(sK11,sK2))
| ~ rcircle(sK26(sK11,sK2))
| ~ spl64_1814
| ~ spl64_5066
| ~ spl64_5586 ),
inference(forward_subsumption_resolution,[],[f102751,f35372]) ).
fof(f102778,plain,
( rinside(sK10,sK26(sK11,sK2))
| ~ spl64_478
| ~ spl64_1814
| ~ spl64_5066
| ~ spl64_5586 ),
inference(forward_subsumption_resolution,[],[f102769,f10935]) ).
fof(f102787,plain,
( spl64_5912
| ~ spl64_478
| ~ spl64_1814
| ~ spl64_5066
| ~ spl64_5586 ),
inference(avatar_split_clause,[],[f102778,f85665,f80528,f35371,f10934,f89868]) ).
fof(f102790,plain,
( ~ ron(sK2,sK12(sK11,sK2))
| spl64_7002 ),
inference(avatar_component_clause,[],[f101004]) ).
fof(f102795,plain,
( sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| spl64_7002 ),
inference(resolution,[],[f102790,f797]) ).
fof(f102796,plain,
( sK2 = sK11
| ~ rpoint(sK11)
| spl64_7002 ),
inference(forward_subsumption_resolution,[],[f102795,f473]) ).
fof(f102797,plain,
( sK2 = sK11
| spl64_7002 ),
inference(forward_subsumption_resolution,[],[f102796,f485]) ).
fof(f102798,plain,
( spl64_16
| spl64_7002 ),
inference(avatar_split_clause,[],[f102797,f101004,f1757]) ).
fof(f103519,plain,
( rinside(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ ron(sK2,sK26(sK10,sK2))
| ~ rcircle(sK26(sK10,sK2))
| ~ spl64_293
| ~ spl64_5051 ),
inference(resolution,[],[f80404,f7420]) ).
fof(f103525,plain,
( rinside(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ rcircle(sK26(sK10,sK2))
| ~ spl64_293
| ~ spl64_2900
| ~ spl64_5051 ),
inference(forward_subsumption_resolution,[],[f103519,f60027]) ).
fof(f103528,plain,
( rinside(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ spl64_278
| ~ spl64_293
| ~ spl64_2900
| ~ spl64_5051 ),
inference(forward_subsumption_resolution,[],[f103525,f6621]) ).
fof(f103533,plain,
( ~ ron(vskolem1052(sK2,sK2,sK10,sK10),sK26(sK10,sK2))
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_278
| ~ spl64_293
| ~ spl64_2900
| ~ spl64_5051 ),
inference(resolution,[],[f103528,f7993]) ).
fof(f103545,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_278
| ~ spl64_280
| ~ spl64_293
| ~ spl64_2900
| ~ spl64_5051 ),
inference(forward_subsumption_resolution,[],[f103533,f6629]) ).
fof(f103552,plain,
( ~ spl64_271
| ~ spl64_278
| ~ spl64_280
| ~ spl64_293
| ~ spl64_2900
| ~ spl64_5051 ),
inference(avatar_split_clause,[],[f103545,f80403,f56013,f7419,f6628,f6620,f6543]) ).
fof(f110675,plain,
( ! [X0] :
( ~ ron(sK2,sK12(sK10,X0))
| ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,X0))
| sK10 = X0
| ~ rpoint(X0)
| ~ rpoint(sK10)
| sK10 = X0
| ~ rpoint(X0)
| ~ rpoint(sK10) )
| ~ spl64_4785 ),
inference(resolution,[],[f78030,f799]) ).
fof(f110711,plain,
( ! [X0] :
( ~ ron(sK2,sK12(sK10,X0))
| ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,X0))
| sK10 = X0
| ~ rpoint(X0)
| ~ rpoint(sK10) )
| ~ spl64_4785 ),
inference(duplicate_literal_removal,[],[f110675]) ).
fof(f110713,plain,
( ! [X0] :
( ~ ron(sK2,sK12(sK10,X0))
| ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,X0))
| sK10 = X0
| ~ rpoint(X0) )
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110711,f483]) ).
fof(f110714,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,sK2))
| sK2 = sK10
| ~ rpoint(sK2)
| sK2 = sK10
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(resolution,[],[f110713,f797]) ).
fof(f110718,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,sK2))
| sK2 = sK10
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(duplicate_literal_removal,[],[f110714]) ).
fof(f110719,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,sK2))
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110718,f761]) ).
fof(f110720,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,sK2))
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110719,f473]) ).
fof(f110721,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK10,sK2))
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110720,f483]) ).
fof(f110722,plain,
( ron(vskolem1052(sK2,sK2,sK10,sK10),sK12(sK2,sK10))
| ~ spl64_4785 ),
inference(forward_demodulation,[],[f110721,f41079]) ).
fof(f110746,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK2 = sK10
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ rpoint(vskolem1052(sK2,sK2,sK10,sK10))
| ~ spl64_4785 ),
inference(resolution,[],[f110722,f5439]) ).
fof(f110802,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK2 = sK10
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110746,f919]) ).
fof(f110872,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(sK2)
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110802,f761]) ).
fof(f110904,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ rpoint(sK10)
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110872,f473]) ).
fof(f110936,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK10,sK10),sK10)
| rR(vskolem1052(sK2,sK2,sK10,sK10),sK10,sK2)
| rR(sK10,vskolem1052(sK2,sK2,sK10,sK10),sK2)
| sK2 = vskolem1052(sK2,sK2,sK10,sK10)
| sK10 = vskolem1052(sK2,sK2,sK10,sK10)
| ~ spl64_4785 ),
inference(forward_subsumption_resolution,[],[f110904,f483]) ).
fof(f110981,plain,
( spl64_269
| spl64_2918
| spl64_4852
| spl64_4853
| spl64_4850
| ~ spl64_4785 ),
inference(avatar_split_clause,[],[f110936,f78023,f78426,f78437,f78433,f56191,f6537]) ).
fof(f114189,plain,
( ~ rline(sK12(sK11,sK2))
| spl64_6993 ),
inference(avatar_component_clause,[],[f100937]) ).
fof(f114239,plain,
( sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| spl64_6993 ),
inference(resolution,[],[f114189,f801]) ).
fof(f114240,plain,
( sK2 = sK11
| ~ rpoint(sK11)
| spl64_6993 ),
inference(forward_subsumption_resolution,[],[f114239,f473]) ).
fof(f114241,plain,
( sK2 = sK11
| spl64_6993 ),
inference(forward_subsumption_resolution,[],[f114240,f485]) ).
fof(f114242,plain,
( spl64_16
| spl64_6993 ),
inference(avatar_split_clause,[],[f114241,f100937,f1757]) ).
fof(f114437,plain,
( ~ ron(sK11,sK12(sK11,sK2))
| spl64_2896 ),
inference(avatar_component_clause,[],[f55523]) ).
fof(f114490,plain,
( sK2 = sK11
| ~ rpoint(sK2)
| ~ rpoint(sK11)
| spl64_2896 ),
inference(resolution,[],[f114437,f799]) ).
fof(f114491,plain,
( sK2 = sK11
| ~ rpoint(sK11)
| spl64_2896 ),
inference(forward_subsumption_resolution,[],[f114490,f473]) ).
fof(f114492,plain,
( sK2 = sK11
| spl64_2896 ),
inference(forward_subsumption_resolution,[],[f114491,f485]) ).
fof(f114493,plain,
( spl64_16
| spl64_2896 ),
inference(avatar_split_clause,[],[f114492,f55523,f1757]) ).
cnf(s6,plain,
spl64_6,
inference(sat_conversion,[],[f1635]) ).
cnf(s7,plain,
spl64_7,
inference(sat_conversion,[],[f1636]) ).
cnf(s14,plain,
( spl64_13
| ~ spl64_14 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s29,plain,
( spl64_14
| ~ spl64_16 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s65,plain,
( spl64_16
| spl64_53 ),
inference(sat_conversion,[],[f2265]) ).
cnf(s74,plain,
( spl64_13
| spl64_61 ),
inference(sat_conversion,[],[f2326]) ).
cnf(s506,plain,
( spl64_269
| spl64_270
| ~ spl64_271 ),
inference(sat_conversion,[],[f6545]) ).
cnf(s510,plain,
spl64_271,
inference(sat_conversion,[],[f6565]) ).
cnf(s512,plain,
~ spl64_269,
inference(sat_conversion,[],[f6576]) ).
cnf(s517,plain,
( spl64_269
| ~ spl64_270
| ~ spl64_271
| spl64_277 ),
inference(sat_conversion,[],[f6618]) ).
cnf(s518,plain,
( spl64_269
| ~ spl64_270
| ~ spl64_271
| spl64_278 ),
inference(sat_conversion,[],[f6622]) ).
cnf(s520,plain,
( spl64_269
| ~ spl64_270
| ~ spl64_271
| spl64_280 ),
inference(sat_conversion,[],[f6630]) ).
cnf(s679,plain,
( spl64_13
| spl64_393 ),
inference(sat_conversion,[],[f9610]) ).
cnf(s816,plain,
( spl64_16
| ~ spl64_393
| spl64_465 ),
inference(sat_conversion,[],[f10838]) ).
cnf(s825,plain,
( spl64_13
| ~ spl64_465
| spl64_477 ),
inference(sat_conversion,[],[f10932]) ).
cnf(s826,plain,
( spl64_13
| ~ spl64_465
| spl64_478 ),
inference(sat_conversion,[],[f10936]) ).
cnf(s828,plain,
( spl64_13
| ~ spl64_465
| spl64_480 ),
inference(sat_conversion,[],[f10944]) ).
cnf(s1877,plain,
~ spl64_13,
inference(sat_conversion,[],[f24430]) ).
cnf(s3456,plain,
( spl64_13
| spl64_16
| spl64_2309
| spl64_2310 ),
inference(sat_conversion,[],[f42891]) ).
cnf(s3465,plain,
( spl64_2215
| ~ spl64_2310 ),
inference(sat_conversion,[],[f42947]) ).
cnf(s3484,plain,
( spl64_16
| ~ spl64_53
| spl64_2189
| ~ spl64_2309 ),
inference(sat_conversion,[],[f43132]) ).
cnf(s3492,plain,
( spl64_13
| spl64_16
| ~ spl64_2189
| spl64_2239 ),
inference(sat_conversion,[],[f43147]) ).
cnf(s3736,plain,
( spl64_16
| spl64_1814 ),
inference(sat_conversion,[],[f45880]) ).
cnf(s3993,plain,
( spl64_16
| ~ spl64_2215
| spl64_2607 ),
inference(sat_conversion,[],[f48834]) ).
cnf(s4195,plain,
( ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_480
| ~ spl64_2618
| spl64_2726 ),
inference(sat_conversion,[],[f51214]) ).
cnf(s4196,plain,
( ~ spl64_478
| ~ spl64_1814
| ~ spl64_2726 ),
inference(sat_conversion,[],[f51219]) ).
cnf(s4198,plain,
( spl64_16
| ~ spl64_2215
| spl64_2216
| spl64_2618 ),
inference(sat_conversion,[],[f51229]) ).
cnf(s4288,plain,
( ~ spl64_2607
| ~ spl64_2836 ),
inference(sat_conversion,[],[f53014]) ).
cnf(s4289,plain,
( spl64_16
| ~ spl64_2215
| spl64_2618
| spl64_2837 ),
inference(sat_conversion,[],[f53074]) ).
cnf(s4308,plain,
( spl64_16
| ~ spl64_2607
| spl64_2847 ),
inference(sat_conversion,[],[f53787]) ).
cnf(s4388,plain,
( spl64_13
| spl64_16
| ~ spl64_2189
| ~ spl64_2851
| spl64_2857 ),
inference(sat_conversion,[],[f54444]) ).
cnf(s4514,plain,
( spl64_2618
| ~ spl64_2765 ),
inference(sat_conversion,[],[f55799]) ).
cnf(s4520,plain,
( ~ spl64_2310
| spl64_2851 ),
inference(sat_conversion,[],[f56007]) ).
cnf(s4527,plain,
( ~ spl64_6
| ~ spl64_277
| ~ spl64_278
| spl64_293
| ~ spl64_2310
| ~ spl64_2900 ),
inference(sat_conversion,[],[f56038]) ).
cnf(s4539,plain,
( ~ spl64_6
| ~ spl64_278
| spl64_295
| ~ spl64_2837
| spl64_2912 ),
inference(sat_conversion,[],[f56128]) ).
cnf(s5113,plain,
( ~ spl64_278
| ~ spl64_295
| ~ spl64_2900 ),
inference(sat_conversion,[],[f59773]) ).
cnf(s5118,plain,
spl64_2900,
inference(sat_conversion,[],[f59794]) ).
cnf(s5387,plain,
( ~ spl64_6
| ~ spl64_477
| ~ spl64_478
| ~ spl64_480
| ~ spl64_1814
| ~ spl64_2617 ),
inference(sat_conversion,[],[f61675]) ).
cnf(s5413,plain,
( spl64_2617
| ~ spl64_2632 ),
inference(sat_conversion,[],[f62009]) ).
cnf(s5524,plain,
( spl64_13
| ~ spl64_61
| spl64_2189
| ~ spl64_2852
| spl64_3408 ),
inference(sat_conversion,[],[f63494]) ).
cnf(s7052,plain,
~ spl64_3408,
inference(sat_conversion,[],[f76126]) ).
cnf(s7212,plain,
( spl64_269
| ~ spl64_271
| ~ spl64_277
| ~ spl64_280
| ~ spl64_2216
| ~ spl64_2912
| spl64_2918
| spl64_4783 ),
inference(sat_conversion,[],[f77991]) ).
cnf(s7215,plain,
~ spl64_2918,
inference(sat_conversion,[],[f78015]) ).
cnf(s7216,plain,
( spl64_2918
| ~ spl64_4783
| spl64_4785 ),
inference(sat_conversion,[],[f78025]) ).
cnf(s7237,plain,
( ~ spl64_271
| ~ spl64_2607
| ~ spl64_2847
| spl64_2918
| ~ spl64_4785
| spl64_4811
| spl64_4812 ),
inference(sat_conversion,[],[f78285]) ).
cnf(s7265,plain,
( ~ spl64_271
| ~ spl64_2607
| spl64_2918
| ~ spl64_4785
| spl64_4848 ),
inference(sat_conversion,[],[f78421]) ).
cnf(s7276,plain,
( spl64_269
| ~ spl64_271
| ~ spl64_2607
| spl64_2918
| ~ spl64_4785
| spl64_4853
| spl64_4860 ),
inference(sat_conversion,[],[f78468]) ).
cnf(s7324,plain,
( spl64_2852
| ~ spl64_4794
| ~ spl64_4860 ),
inference(sat_conversion,[],[f78755]) ).
cnf(s7415,plain,
( ~ spl64_6
| ~ spl64_271
| ~ spl64_4811
| spl64_4983 ),
inference(sat_conversion,[],[f79683]) ).
cnf(s7446,plain,
( ~ spl64_6
| ~ spl64_271
| ~ spl64_4853
| spl64_5007 ),
inference(sat_conversion,[],[f79927]) ).
cnf(s7505,plain,
( ~ spl64_6
| ~ spl64_271
| ~ spl64_4867
| spl64_5051 ),
inference(sat_conversion,[],[f80405]) ).
cnf(s7520,plain,
( ~ spl64_7
| ~ spl64_271
| ~ spl64_4852
| spl64_5066 ),
inference(sat_conversion,[],[f80530]) ).
cnf(s8187,plain,
( ~ spl64_278
| ~ spl64_280
| ~ spl64_293
| spl64_295
| ~ spl64_4983 ),
inference(sat_conversion,[],[f85668]) ).
cnf(s8219,plain,
( ~ spl64_271
| ~ spl64_277
| ~ spl64_278
| ~ spl64_280
| ~ spl64_2900
| ~ spl64_5007 ),
inference(sat_conversion,[],[f86013]) ).
cnf(s8603,plain,
( spl64_2836
| spl64_2918
| ~ spl64_4783
| ~ spl64_5895 ),
inference(sat_conversion,[],[f89300]) ).
cnf(s8626,plain,
( ~ spl64_2607
| ~ spl64_2857
| ~ spl64_2896 ),
inference(sat_conversion,[],[f89580]) ).
cnf(s9387,plain,
( ~ spl64_271
| ~ spl64_4850
| spl64_5895 ),
inference(sat_conversion,[],[f96306]) ).
cnf(s9396,plain,
( ~ spl64_478
| ~ spl64_480
| ~ spl64_5912 ),
inference(sat_conversion,[],[f96385]) ).
cnf(s10188,plain,
( spl64_16
| spl64_4794
| ~ spl64_4848
| spl64_4867
| spl64_5054 ),
inference(sat_conversion,[],[f101176]) ).
cnf(s10309,plain,
( ~ spl64_2239
| ~ spl64_2896
| ~ spl64_6993
| ~ spl64_7002
| spl64_7011 ),
inference(sat_conversion,[],[f102004]) ).
cnf(s10350,plain,
( spl64_13
| spl64_16
| spl64_2310
| spl64_2632
| spl64_2765
| ~ spl64_7011 ),
inference(sat_conversion,[],[f102392]) ).
cnf(s10371,plain,
( spl64_16
| ~ spl64_271
| spl64_5586
| ~ spl64_7039 ),
inference(sat_conversion,[],[f102569]) ).
cnf(s10373,plain,
( spl64_16
| ~ spl64_271
| spl64_2918
| spl64_4794
| ~ spl64_4812
| ~ spl64_5054
| spl64_7039 ),
inference(sat_conversion,[],[f102572]) ).
cnf(s10378,plain,
( ~ spl64_478
| ~ spl64_1814
| ~ spl64_5066
| ~ spl64_5586
| spl64_5912 ),
inference(sat_conversion,[],[f102787]) ).
cnf(s10381,plain,
( spl64_16
| spl64_7002 ),
inference(sat_conversion,[],[f102798]) ).
cnf(s10418,plain,
( ~ spl64_271
| ~ spl64_278
| ~ spl64_280
| ~ spl64_293
| ~ spl64_2900
| ~ spl64_5051 ),
inference(sat_conversion,[],[f103552]) ).
cnf(s11192,plain,
( spl64_269
| spl64_2918
| ~ spl64_4785
| spl64_4850
| spl64_4852
| spl64_4853 ),
inference(sat_conversion,[],[f110981]) ).
cnf(s11555,plain,
( spl64_16
| spl64_6993 ),
inference(sat_conversion,[],[f114242]) ).
cnf(s11588,plain,
( spl64_16
| spl64_2896 ),
inference(sat_conversion,[],[f114493]) ).
cnf(s11589,plain,
( spl64_269
| ~ spl64_271
| ~ spl64_277
| ~ spl64_280
| ~ spl64_2216
| ~ spl64_2912
| spl64_4783 ),
inference(rat,[],[s7212,s7215]) ).
cnf(s11604,plain,
( spl64_13
| ~ spl64_61
| spl64_2189
| ~ spl64_2852 ),
inference(rat,[],[s5524,s7052]) ).
cnf(s11611,plain,
( ~ spl64_278
| ~ spl64_295 ),
inference(rat,[],[s5113,s5118]) ).
cnf(s11620,plain,
( ~ spl64_6
| ~ spl64_277
| ~ spl64_278
| spl64_293
| ~ spl64_2310 ),
inference(rat,[],[s4527,s5118]) ).
cnf(s11687,plain,
( ~ spl64_465
| spl64_480 ),
inference(rat,[],[s828,s1877]) ).
cnf(s11689,plain,
( ~ spl64_465
| spl64_478 ),
inference(rat,[],[s826,s1877]) ).
cnf(s11690,plain,
( ~ spl64_465
| spl64_477 ),
inference(rat,[],[s825,s1877]) ).
cnf(s11720,plain,
spl64_393,
inference(rat,[],[s679,s1877]) ).
cnf(s11736,plain,
spl64_270,
inference(rat,[],[s506,s510,s512]) ).
cnf(s11739,plain,
spl64_280,
inference(rat,[],[s520,s510,s512,s11736]) ).
cnf(s11741,plain,
spl64_278,
inference(rat,[],[s518,s510,s512,s11736]) ).
cnf(s11742,plain,
spl64_277,
inference(rat,[],[s517,s510,s512,s11736]) ).
cnf(s11747,plain,
~ spl64_295,
inference(rat,[],[s11611,s11741]) ).
cnf(s11749,plain,
~ spl64_5007,
inference(rat,[],[s8219,s11741,s5118,s11739,s510,s11742]) ).
cnf(s11868,plain,
spl64_61,
inference(rat,[],[s74,s1877]) ).
cnf(s11926,plain,
~ spl64_14,
inference(rat,[],[s14,s1877]) ).
cnf(s11928,plain,
~ spl64_16,
inference(rat,[],[s29,s11926]) ).
cnf(s11929,plain,
spl64_2896,
inference(rat,[],[s11588,s11928]) ).
cnf(s11930,plain,
spl64_6993,
inference(rat,[],[s11555,s11928]) ).
cnf(s11932,plain,
spl64_7002,
inference(rat,[],[s10381,s11928]) ).
cnf(s11933,plain,
spl64_1814,
inference(rat,[],[s3736,s11928]) ).
cnf(s11951,plain,
spl64_465,
inference(rat,[],[s816,s11720,s11928]) ).
cnf(s11973,plain,
spl64_53,
inference(rat,[],[s65,s11928]) ).
cnf(s11991,plain,
spl64_480,
inference(rat,[],[s11687,s11951]) ).
cnf(s11993,plain,
spl64_478,
inference(rat,[],[s11689,s11951]) ).
cnf(s11994,plain,
spl64_477,
inference(rat,[],[s11690,s11951]) ).
cnf(s12038,plain,
~ spl64_5912,
inference(rat,[],[s9396,s11991,s11993]) ).
cnf(s12039,plain,
~ spl64_2726,
inference(rat,[],[s4196,s11933,s11993]) ).
cnf(s12133,plain,
~ spl64_4853,
inference(rat,[],[s7446,s11749,s510,s6]) ).
cnf(s12134,plain,
~ spl64_2617,
inference(rat,[],[s5387,s11994,s11933,s11991,s11993,s6]) ).
cnf(s12135,plain,
~ spl64_2618,
inference(rat,[],[s4195,s12039,s11994,s11991,s11993,s6]) ).
cnf(s12137,plain,
~ spl64_2632,
inference(rat,[],[s5413,s12134]) ).
cnf(s12138,plain,
~ spl64_2765,
inference(rat,[],[s4514,s12135]) ).
cnf(s12141,plain,
spl64_2310,
inference(rat,[],[s3492,s3484,s10309,s3456,s10350,s1877,s11928,s11973,s11930,s11932,s11929,s12138,s12137]) ).
cnf(s12142,plain,
spl64_2851,
inference(rat,[],[s4520,s12141]) ).
cnf(s12149,plain,
spl64_2215,
inference(rat,[],[s3465,s12141]) ).
cnf(s12150,plain,
spl64_293,
inference(rat,[],[s11620,s6,s11742,s11741,s12141]) ).
cnf(s12154,plain,
spl64_2837,
inference(rat,[],[s4289,s12135,s11928,s12149]) ).
cnf(s12156,plain,
spl64_2216,
inference(rat,[],[s4198,s12135,s11928,s12149]) ).
cnf(s12167,plain,
spl64_2607,
inference(rat,[],[s3993,s11928,s12149]) ).
cnf(s12174,plain,
~ spl64_4983,
inference(rat,[],[s8187,s11747,s11741,s11739,s12150]) ).
cnf(s12175,plain,
~ spl64_5051,
inference(rat,[],[s10418,s11741,s5118,s11739,s510,s12150]) ).
cnf(s12204,plain,
spl64_2912,
inference(rat,[],[s4539,s6,s11741,s11747,s12154]) ).
cnf(s12224,plain,
~ spl64_2857,
inference(rat,[],[s8626,s11929,s12167]) ).
cnf(s12229,plain,
spl64_2847,
inference(rat,[],[s4308,s11928,s12167]) ).
cnf(s12230,plain,
~ spl64_2836,
inference(rat,[],[s4288,s12167]) ).
cnf(s12254,plain,
~ spl64_4811,
inference(rat,[],[s7415,s6,s510,s12174]) ).
cnf(s12255,plain,
~ spl64_4867,
inference(rat,[],[s7505,s6,s510,s12175]) ).
cnf(s12261,plain,
spl64_4783,
inference(rat,[],[s11589,s12156,s11742,s11739,s510,s512,s12204]) ).
cnf(s12267,plain,
~ spl64_2189,
inference(rat,[],[s4388,s12142,s11928,s1877,s12224]) ).
cnf(s12299,plain,
spl64_4785,
inference(rat,[],[s7216,s7215,s12261]) ).
cnf(s12300,plain,
~ spl64_5895,
inference(rat,[],[s8603,s12230,s7215,s12261]) ).
cnf(s12301,plain,
~ spl64_2852,
inference(rat,[],[s11604,s11868,s1877,s12267]) ).
cnf(s12323,plain,
spl64_4860,
inference(rat,[],[s7276,s12167,s12133,s510,s7215,s512,s12299]) ).
cnf(s12329,plain,
spl64_4848,
inference(rat,[],[s7265,s12167,s510,s7215,s12299]) ).
cnf(s12366,plain,
spl64_4812,
inference(rat,[],[s7237,s12254,s12229,s12167,s7215,s510,s12299]) ).
cnf(s12370,plain,
~ spl64_4850,
inference(rat,[],[s9387,s510,s12300]) ).
cnf(s12372,plain,
~ spl64_4794,
inference(rat,[],[s7324,s12323,s12301]) ).
cnf(s12448,plain,
spl64_5054,
inference(rat,[],[s10188,s12255,s12372,s11928,s12329]) ).
cnf(s12481,plain,
spl64_4852,
inference(rat,[],[s11192,s12133,s12299,s512,s7215,s12370]) ).
cnf(s12500,plain,
spl64_7039,
inference(rat,[],[s10373,s12366,s12372,s11928,s510,s7215,s12448]) ).
cnf(s12524,plain,
spl64_5066,
inference(rat,[],[s7520,s7,s510,s12481]) ).
cnf(s12535,plain,
spl64_5586,
inference(rat,[],[s10371,s11928,s510,s12500]) ).
cnf(s12550,plain,
$false,
inference(rat,[],[s10378,s12038,s11993,s11933,s12535,s12524]) ).
fof(f114494,plain,
$false,
inference(avatar_sat_refutation,[],[s12550]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO351+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n008.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 08:10:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 10.96/2.45 % (909663)Detected formulas, will run a generic FOF schedule.
% 10.96/2.45 % (909672)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2544560117:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.96/2.45 % (909669)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=2500734116:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.96/2.45 % (909668)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=1809821190:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.96/2.45 % (909671)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1810972773:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.96/2.45 % (909674)dis-21_1_sil=8000:lcm=predicate:random_seed=2640789367: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)
% 10.96/2.45 % (909670)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=2667610232:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.96/2.45 % (909673)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1999085896:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.96/2.45 % (909672)Instruction limit reached!
% 10.96/2.45 % (909672)------------------------------
% 10.96/2.45 % (909672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.45 % (909672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.45 % (909672)CaDiCaL version: 2.1.3
% 10.96/2.45 % (909672)Termination reason: Instruction limit
% 10.96/2.45 % (909672)Termination phase: Saturation
% 10.96/2.45 % (909672)Time elapsed: 0.035 s
% 10.96/2.45 % (909672)Peak memory usage: 89 MB
% 10.96/2.45 % (909672)Instructions burned: 121 (million)
% 10.96/2.45 % (909671)Refutation not found, incomplete strategy
% 10.96/2.45 % (909671)------------------------------
% 10.96/2.45 % (909671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.45 % (909671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.45 % (909671)CaDiCaL version: 2.1.3
% 10.96/2.45 % (909671)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.45 % (909671)Time elapsed: 0.002 s
% 10.96/2.45 % (909671)Peak memory usage: 88 MB
% 10.96/2.45 % (909671)Instructions burned: 1 (million)
% 10.96/2.45 % (909674)Instruction limit reached!
% 10.96/2.45 % (909674)------------------------------
% 10.96/2.45 % (909674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.45 % (909674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.45 % (909674)CaDiCaL version: 2.1.3
% 10.96/2.45 % (909674)Termination reason: Instruction limit
% 10.96/2.45 % (909674)Termination phase: Saturation
% 10.96/2.45 % (909674)Time elapsed: 0.069 s
% 10.96/2.45 % (909674)Peak memory usage: 90 MB
% 10.96/2.45 % (909674)Instructions burned: 131 (million)
% 10.96/2.45 % (909673)Instruction limit reached!
% 10.96/2.45 % (909673)------------------------------
% 10.96/2.45 % (909673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.45 % (909673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.45 % (909673)CaDiCaL version: 2.1.3
% 10.96/2.45 % (909673)Termination reason: Instruction limit
% 10.96/2.45 % (909673)Termination phase: Saturation
% 10.96/2.45 % (909673)Time elapsed: 0.084 s
% 10.96/2.45 % (909673)Peak memory usage: 90 MB
% 10.96/2.45 % (909673)Instructions burned: 139 (million)
% 10.96/2.45 % (909682)lrs+10_1_sil=8000:sp=occurrence:random_seed=2950936466:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.96/2.45 % (909682)Instruction limit reached!
% 10.96/2.45 % (909682)------------------------------
% 10.96/2.45 % (909682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.45 % (909682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.45 % (909682)CaDiCaL version: 2.1.3
% 10.96/2.45 % (909682)Termination reason: Instruction limit
% 10.96/2.45 % (909682)Termination phase: Saturation
% 10.96/2.45 % (909682)Time elapsed: 0.069 s
% 10.96/2.45 % (909682)Peak memory usage: 91 MB
% 10.96/2.45 % (909682)Instructions burned: 286 (million)
% 10.96/2.45 % (909683)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4275701714:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.57/2.91 % (909684)lrs+1011_1_sil=32000:sp=occurrence:random_seed=843727662:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.57/2.91 % (909684)Refutation not found, incomplete strategy
% 13.57/2.91 % (909684)------------------------------
% 13.57/2.91 % (909684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.91 % (909684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.91 % (909684)CaDiCaL version: 2.1.3
% 13.57/2.91 % (909684)Termination reason: Refutation not found, incomplete strategy
% 13.57/2.91 % (909684)Time elapsed: 0.002 s
% 13.57/2.91 % (909684)Peak memory usage: 88 MB
% 13.57/2.91 % (909684)Instructions burned: 2 (million)
% 13.57/2.91 % (909683)Refutation not found, incomplete strategy
% 13.57/2.91 % (909683)------------------------------
% 13.57/2.91 % (909683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.91 % (909683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.91 % (909683)CaDiCaL version: 2.1.3
% 13.57/2.91 % (909683)Termination reason: Refutation not found, incomplete strategy
% 13.57/2.91 % (909683)Time elapsed: 0.003 s
% 13.57/2.91 % (909683)Peak memory usage: 88 MB
% 13.57/2.91 % (909683)Instructions burned: 3 (million)
% 13.57/2.91 % (909671)------------------------------
% 13.57/2.91 % (909671)------------------------------
% 13.57/2.91 % (909686)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=4178495155:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.57/2.91 % (909686)Instruction limit reached!
% 13.57/2.91 % (909686)------------------------------
% 13.57/2.91 % (909686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.91 % (909686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.91 % (909686)CaDiCaL version: 2.1.3
% 13.57/2.91 % (909686)Termination reason: Instruction limit
% 13.57/2.91 % (909686)Termination phase: Saturation
% 13.57/2.91 % (909686)Time elapsed: 0.062 s
% 13.57/2.91 % (909686)Peak memory usage: 92 MB
% 13.57/2.91 % (909686)Instructions burned: 249 (million)
% 13.57/2.91 % (909689)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4258755134:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 13.57/2.91 % (909689)Refutation not found, incomplete strategy
% 13.57/2.91 % (909689)------------------------------
% 13.57/2.91 % (909689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.91 % (909689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.91 % (909689)CaDiCaL version: 2.1.3
% 13.57/2.91 % (909689)Termination reason: Refutation not found, incomplete strategy
% 13.57/2.91 % (909689)Time elapsed: 0.010 s
% 13.57/2.91 % (909689)Peak memory usage: 89 MB
% 13.57/2.91 % (909689)Instructions burned: 17 (million)
% 13.57/2.91 % (909684)------------------------------
% 13.57/2.91 % (909684)------------------------------
% 13.57/2.91 % (909683)------------------------------
% 13.57/2.91 % (909683)------------------------------
% 13.57/2.91 % (909691)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2070590160:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 13.57/2.91 % (909693)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2972946805:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 13.57/2.91 % (909694)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=619859627:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 13.57/2.91 % (909693)Refutation not found, incomplete strategy
% 13.57/2.91 % (909693)------------------------------
% 13.57/2.91 % (909693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.91 % (909693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.57/2.91 % (909693)CaDiCaL version: 2.1.3
% 13.57/2.91 % (909693)Termination reason: Refutation not found, incomplete strategy
% 13.57/2.91 % (909693)Time elapsed: 0.014 s
% 13.57/2.91 % (909693)Peak memory usage: 89 MB
% 13.57/2.91 % (909693)Instructions burned: 25 (million)
% 13.57/2.91 % (909670)Refutation not found, incomplete strategy
% 13.57/2.91 % (909670)------------------------------
% 13.57/2.91 % (909670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.57/2.91 % (909670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.75/4.24 % (909670)CaDiCaL version: 2.1.3
% 23.75/4.24 % (909670)Termination reason: Refutation not found, incomplete strategy
% 23.75/4.24 % (909670)Time elapsed: 0.664 s
% 23.75/4.24 % (909670)Peak memory usage: 131 MB
% 23.75/4.24 % (909670)Instructions burned: 1008 (million)
% 23.75/4.24 % (909694)Refutation not found, incomplete strategy
% 23.75/4.24 % (909694)------------------------------
% 23.75/4.24 % (909694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.75/4.24 % (909694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.75/4.24 % (909694)CaDiCaL version: 2.1.3
% 23.75/4.24 % (909694)Termination reason: Refutation not found, incomplete strategy
% 23.75/4.24 % (909694)Time elapsed: 0.021 s
% 23.75/4.24 % (909694)Peak memory usage: 88 MB
% 23.75/4.24 % (909694)Instructions burned: 42 (million)
% 23.75/4.24 % (909689)------------------------------
% 23.75/4.24 % (909689)------------------------------
% 23.75/4.24 % (909698)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2525700686:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 23.75/4.24 % (909693)------------------------------
% 23.75/4.24 % (909693)------------------------------
% 23.75/4.24 % (909670)------------------------------
% 23.75/4.24 % (909670)------------------------------
% 23.75/4.24 % (909694)------------------------------
% 23.75/4.24 % (909694)------------------------------
% 23.75/4.24 % (909698)Instruction limit reached!
% 23.75/4.24 % (909698)------------------------------
% 23.75/4.24 % (909698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.75/4.24 % (909698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.75/4.24 % (909698)CaDiCaL version: 2.1.3
% 23.75/4.24 % (909698)Termination reason: Instruction limit
% 23.75/4.24 % (909698)Termination phase: Saturation
% 23.75/4.24 % (909698)Time elapsed: 0.057 s
% 23.75/4.24 % (909698)Peak memory usage: 89 MB
% 23.75/4.24 % (909698)Instructions burned: 116 (million)
% 23.75/4.24 % (909701)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=309159563:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 23.75/4.24 % (909700)lrs+10_1_sil=8000:sp=occurrence:random_seed=3599761410:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 23.75/4.24 % (909701)Refutation not found, incomplete strategy
% 23.75/4.24 % (909701)------------------------------
% 23.75/4.24 % (909701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.75/4.24 % (909701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.75/4.24 % (909701)CaDiCaL version: 2.1.3
% 23.75/4.24 % (909701)Termination reason: Refutation not found, incomplete strategy
% 23.75/4.24 % (909701)Time elapsed: 0.017 s
% 23.75/4.24 % (909701)Peak memory usage: 89 MB
% 23.75/4.24 % (909701)Instructions burned: 32 (million)
% 23.75/4.24 % (909702)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3664716548:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 23.75/4.24 % (909703)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=164399455:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 23.75/4.24 % (909703)Instruction limit reached!
% 23.75/4.24 % (909703)------------------------------
% 23.75/4.24 % (909703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.75/4.24 % (909703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.75/4.24 % (909703)CaDiCaL version: 2.1.3
% 23.75/4.24 % (909703)Termination reason: Instruction limit
% 23.75/4.24 % (909703)Termination phase: Saturation
% 23.75/4.24 % (909703)Time elapsed: 0.064 s
% 23.75/4.24 % (909703)Peak memory usage: 92 MB
% 23.75/4.24 % (909703)Instructions burned: 136 (million)
% 23.75/4.24 % (909701)------------------------------
% 23.75/4.24 % (909701)------------------------------
% 23.75/4.24 % (909708)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1045450301:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 23.75/4.24 % (909691)Instruction limit reached!
% 23.75/4.24 % (909691)------------------------------
% 23.75/4.24 % (909691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.75/4.24 % (909691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.75/4.24 % (909691)CaDiCaL version: 2.1.3
% 23.75/4.24 % (909691)Termination reason: Instruction limit
% 23.75/4.24 % (909691)Termination phase: Saturation
% 23.75/4.24 % (909691)Time elapsed: 0.871 s
% 23.75/4.24 % (909691)Peak memory usage: 142 MB
% 40.38/6.61 % (909691)Instructions burned: 2352 (million)
% 40.38/6.61 % (909700)Instruction limit reached!
% 40.38/6.61 % (909700)------------------------------
% 40.38/6.61 % (909700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.38/6.61 % (909700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.38/6.61 % (909700)CaDiCaL version: 2.1.3
% 40.38/6.61 % (909700)Termination reason: Instruction limit
% 40.38/6.61 % (909700)Termination phase: Saturation
% 40.38/6.61 % (909700)Time elapsed: 0.410 s
% 40.38/6.61 % (909700)Peak memory usage: 92 MB
% 40.38/6.61 % (909700)Instructions burned: 907 (million)
% 40.38/6.61 % (909710)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=558020783:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 40.38/6.61 % (909711)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=2765693781:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 40.38/6.61 % (909711)Instruction limit reached!
% 40.38/6.61 % (909711)------------------------------
% 40.38/6.61 % (909711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.38/6.61 % (909711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.38/6.61 % (909711)CaDiCaL version: 2.1.3
% 40.38/6.61 % (909711)Termination reason: Instruction limit
% 40.38/6.61 % (909711)Termination phase: Saturation
% 40.38/6.61 % (909711)Time elapsed: 0.034 s
% 40.38/6.61 % (909711)Peak memory usage: 93 MB
% 40.38/6.61 % (909711)Instructions burned: 129 (million)
% 40.38/6.61 % (909712)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3495208333:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 40.38/6.61 % (909708)Instruction limit reached!
% 40.38/6.61 % (909708)------------------------------
% 40.38/6.61 % (909708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.38/6.61 % (909708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.38/6.61 % (909708)CaDiCaL version: 2.1.3
% 40.38/6.61 % (909708)Termination reason: Instruction limit
% 40.38/6.61 % (909708)Termination phase: Saturation
% 40.38/6.61 % (909708)Time elapsed: 0.331 s
% 40.38/6.61 % (909708)Peak memory usage: 94 MB
% 40.38/6.61 % (909708)Instructions burned: 592 (million)
% 40.38/6.61 % (909715)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1944281984:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 40.38/6.61 % (909715)Refutation not found, incomplete strategy
% 40.38/6.61 % (909715)------------------------------
% 40.38/6.61 % (909715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.38/6.61 % (909715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.38/6.61 % (909715)CaDiCaL version: 2.1.3
% 40.38/6.61 % (909715)Termination reason: Refutation not found, incomplete strategy
% 40.38/6.61 % (909715)Time elapsed: 0.001 s
% 40.38/6.61 % (909715)Peak memory usage: 88 MB
% 40.38/6.61 % (909715)Instructions burned: 1 (million)
% 40.38/6.61 % (909712)Instruction limit reached!
% 40.38/6.61 % (909712)------------------------------
% 40.38/6.61 % (909712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.38/6.61 % (909712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.38/6.61 % (909712)CaDiCaL version: 2.1.3
% 40.38/6.61 % (909712)Termination reason: Instruction limit
% 40.38/6.61 % (909712)Termination phase: Saturation
% 40.38/6.61 % (909712)Time elapsed: 0.079 s
% 40.38/6.61 % (909712)Peak memory usage: 91 MB
% 40.38/6.61 % (909712)Instructions burned: 134 (million)
% 40.38/6.61 % (909717)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2137515304:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 40.38/6.61 % (909717)Refutation not found, incomplete strategy
% 40.38/6.61 % (909717)------------------------------
% 40.38/6.61 % (909717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.38/6.61 % (909717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.38/6.61 % (909717)CaDiCaL version: 2.1.3
% 40.38/6.61 % (909717)Termination reason: Refutation not found, incomplete strategy
% 40.38/6.61 % (909717)Time elapsed: 0.002 s
% 40.38/6.61 % (909717)Peak memory usage: 88 MB
% 40.38/6.61 % (909717)Instructions burned: 1 (million)
% 40.38/6.61 % (909715)------------------------------
% 40.38/6.61 % (909715)------------------------------
% 66.44/10.26 % (909719)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=3145898924:i=6060:aac=none:ins=25_2981 on theBenchmark for (2981ds/6060Mi)
% 66.44/10.26 % (909721)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3208294357:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 66.44/10.26 % (909721)Instruction limit reached!
% 66.44/10.26 % (909721)------------------------------
% 66.44/10.26 % (909721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.44/10.26 % (909721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.44/10.26 % (909721)CaDiCaL version: 2.1.3
% 66.44/10.26 % (909721)Termination reason: Instruction limit
% 66.44/10.26 % (909721)Termination phase: Saturation
% 66.44/10.26 % (909721)Time elapsed: 0.041 s
% 66.44/10.26 % (909721)Peak memory usage: 92 MB
% 66.44/10.26 % (909721)Instructions burned: 151 (million)
% 66.44/10.26 % (909717)------------------------------
% 66.44/10.26 % (909717)------------------------------
% 66.44/10.26 % (909724)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1993361802:i=14155:bd=all_2977 on theBenchmark for (2977ds/14155Mi)
% 66.44/10.26 % (909725)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4283297699:i=667:av=off:fsr=off_2977 on theBenchmark for (2977ds/667Mi)
% 66.44/10.26 % (909725)Refutation not found, incomplete strategy
% 66.44/10.26 % (909725)------------------------------
% 66.44/10.26 % (909725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.44/10.26 % (909725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.44/10.26 % (909725)CaDiCaL version: 2.1.3
% 66.44/10.26 % (909725)Termination reason: Refutation not found, incomplete strategy
% 66.44/10.26 % (909725)Time elapsed: 0.021 s
% 66.44/10.26 % (909725)Peak memory usage: 89 MB
% 66.44/10.26 % (909725)Instructions burned: 43 (million)
% 66.44/10.26 % (909725)------------------------------
% 66.44/10.26 % (909725)------------------------------
% 66.44/10.26 % (909728)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1367752210:s2a=on:i=185:s2at=1.8:fdi=4_2973 on theBenchmark for (2973ds/185Mi)
% 66.44/10.26 % (909728)Instruction limit reached!
% 66.44/10.26 % (909728)------------------------------
% 66.44/10.26 % (909728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.44/10.26 % (909728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.44/10.26 % (909728)CaDiCaL version: 2.1.3
% 66.44/10.26 % (909728)Termination reason: Instruction limit
% 66.44/10.26 % (909728)Termination phase: Saturation
% 66.44/10.26 % (909728)Time elapsed: 0.087 s
% 66.44/10.26 % (909728)Peak memory usage: 93 MB
% 66.44/10.26 % (909728)Instructions burned: 185 (million)
% 66.44/10.26 % (909730)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1870148306:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2970 on theBenchmark for (2970ds/193Mi)
% 66.44/10.26 % (909730)Instruction limit reached!
% 66.44/10.26 % (909730)------------------------------
% 66.44/10.26 % (909730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.44/10.26 % (909730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.44/10.26 % (909730)CaDiCaL version: 2.1.3
% 66.44/10.26 % (909730)Termination reason: Instruction limit
% 66.44/10.26 % (909730)Termination phase: Saturation
% 66.44/10.26 % (909730)Time elapsed: 0.107 s
% 66.44/10.26 % (909730)Peak memory usage: 91 MB
% 66.44/10.26 % (909730)Instructions burned: 193 (million)
% 66.44/10.26 % (909732)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1193263754:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2968 on theBenchmark for (2968ds/4850Mi)
% 66.44/10.26 % (909732)Refutation not found, incomplete strategy
% 66.44/10.26 % (909732)------------------------------
% 66.44/10.26 % (909732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.44/10.26 % (909732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.44/10.26 % (909732)CaDiCaL version: 2.1.3
% 66.44/10.26 % (909732)Termination reason: Refutation not found, incomplete strategy
% 66.44/10.26 % (909732)Time elapsed: 0.017 s
% 66.44/10.26 % (909732)Peak memory usage: 89 MB
% 82.01/12.49 % (909732)Instructions burned: 33 (million)
% 82.01/12.49 % (909732)------------------------------
% 82.01/12.49 % (909732)------------------------------
% 82.01/12.49 % (909734)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3704538001:i=12111:sd=1:ss=included_2963 on theBenchmark for (2963ds/12111Mi)
% 82.01/12.49 % (909719)Instruction limit reached!
% 82.01/12.49 % (909719)------------------------------
% 82.01/12.49 % (909719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.01/12.49 % (909719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.01/12.49 % (909719)CaDiCaL version: 2.1.3
% 82.01/12.49 % (909719)Termination reason: Instruction limit
% 82.01/12.49 % (909719)Termination phase: Saturation
% 82.01/12.49 % (909719)Time elapsed: 1.981 s
% 82.01/12.49 % (909719)Peak memory usage: 150 MB
% 82.01/12.49 % (909719)Instructions burned: 6061 (million)
% 82.01/12.49 % (909736)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=208102223:i=319:kws=precedence:fsr=off_2959 on theBenchmark for (2959ds/319Mi)
% 82.01/12.49 % (909736)Instruction limit reached!
% 82.01/12.49 % (909736)------------------------------
% 82.01/12.49 % (909736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.01/12.49 % (909736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.01/12.49 % (909736)CaDiCaL version: 2.1.3
% 82.01/12.49 % (909736)Termination reason: Instruction limit
% 82.01/12.49 % (909736)Termination phase: Saturation
% 82.01/12.49 % (909736)Time elapsed: 0.087 s
% 82.01/12.49 % (909736)Peak memory usage: 94 MB
% 82.01/12.49 % (909736)Instructions burned: 320 (million)
% 82.01/12.49 % (909702)Instruction limit reached!
% 82.01/12.49 % (909702)------------------------------
% 82.01/12.49 % (909702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.01/12.49 % (909702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.01/12.49 % (909702)CaDiCaL version: 2.1.3
% 82.01/12.49 % (909702)Termination reason: Instruction limit
% 82.01/12.49 % (909702)Termination phase: Saturation
% 82.01/12.49 % (909702)Time elapsed: 3.041 s
% 82.01/12.49 % (909702)Peak memory usage: 151 MB
% 82.01/12.49 % (909702)Instructions burned: 5203 (million)
% 82.01/12.49 % (909738)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2398496000:i=2064:ep=RST_2957 on theBenchmark for (2957ds/2064Mi)
% 82.01/12.49 % (909739)dis-1011_128_sil=32000:random_seed=1010784970:i=3706:ep=RST:av=off_2956 on theBenchmark for (2956ds/3706Mi)
% 82.01/12.49 % (909738)Instruction limit reached!
% 82.01/12.49 % (909738)------------------------------
% 82.01/12.49 % (909738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.01/12.49 % (909738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.01/12.49 % (909738)CaDiCaL version: 2.1.3
% 82.01/12.49 % (909738)Termination reason: Instruction limit
% 82.01/12.49 % (909738)Termination phase: Saturation
% 82.01/12.49 % (909738)Time elapsed: 0.555 s
% 82.01/12.49 % (909738)Peak memory usage: 112 MB
% 82.01/12.49 % (909738)Instructions burned: 2065 (million)
% 82.01/12.49 % (909742)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1128074776:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2950 on theBenchmark for (2950ds/757Mi)
% 82.01/12.49 % (909742)Refutation not found, incomplete strategy
% 82.01/12.49 % (909742)------------------------------
% 82.01/12.49 % (909742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.01/12.49 % (909742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.01/12.49 % (909742)CaDiCaL version: 2.1.3
% 82.01/12.49 % (909742)Termination reason: Refutation not found, incomplete strategy
% 82.01/12.49 % (909742)Time elapsed: 0.007 s
% 82.01/12.49 % (909742)Peak memory usage: 89 MB
% 82.01/12.49 % (909742)Instructions burned: 26 (million)
% 82.01/12.49 % (909742)------------------------------
% 82.01/12.49 % (909742)------------------------------
% 82.01/12.49 % (909744)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1668139446:i=13913:ss=axioms:sgt=8_2947 on theBenchmark for (2947ds/13913Mi)
% 82.01/12.49 % (909739)Instruction limit reached!
% 82.01/12.49 % (909739)------------------------------
% 82.01/12.49 % (909739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 82.01/12.49 % (909739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 82.01/12.49 % (909739)CaDiCaL version: 2.1.3
% 82.01/12.49 % (909739)Termination reason: Instruction limit
% 91.78/14.01 % (909739)Termination phase: Saturation
% 91.78/14.01 % (909739)Time elapsed: 1.267 s
% 91.78/14.01 % (909739)Peak memory usage: 89 MB
% 91.78/14.01 % (909739)Instructions burned: 3708 (million)
% 91.78/14.01 % (909746)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1131275585:i=9925:aac=none_2942 on theBenchmark for (2942ds/9925Mi)
% 91.78/14.01 % (909746)Refutation not found, incomplete strategy
% 91.78/14.01 % (909746)------------------------------
% 91.78/14.01 % (909746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909746)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909746)Termination reason: Refutation not found, incomplete strategy
% 91.78/14.01 % (909746)Time elapsed: 0.606 s
% 91.78/14.01 % (909746)Peak memory usage: 133 MB
% 91.78/14.01 % (909746)Instructions burned: 932 (million)
% 91.78/14.01 % (909746)------------------------------
% 91.78/14.01 % (909746)------------------------------
% 91.78/14.01 % (909748)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2833626507:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2932 on theBenchmark for (2932ds/2479Mi)
% 91.78/14.01 % (909748)Refutation not found, incomplete strategy
% 91.78/14.01 % (909748)------------------------------
% 91.78/14.01 % (909748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909748)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909748)Termination reason: Refutation not found, incomplete strategy
% 91.78/14.01 % (909748)Time elapsed: 0.010 s
% 91.78/14.01 % (909748)Peak memory usage: 89 MB
% 91.78/14.01 % (909748)Instructions burned: 17 (million)
% 91.78/14.01 % (909748)------------------------------
% 91.78/14.01 % (909748)------------------------------
% 91.78/14.01 % (909750)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1599072606:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2928 on theBenchmark for (2928ds/440Mi)
% 91.78/14.01 % (909750)Instruction limit reached!
% 91.78/14.01 % (909750)------------------------------
% 91.78/14.01 % (909750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909750)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909750)Termination reason: Instruction limit
% 91.78/14.01 % (909750)Termination phase: Saturation
% 91.78/14.01 % (909750)Time elapsed: 0.223 s
% 91.78/14.01 % (909750)Peak memory usage: 91 MB
% 91.78/14.01 % (909750)Instructions burned: 440 (million)
% 91.78/14.01 % (909752)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1258801741:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2924 on theBenchmark for (2924ds/11145Mi)
% 91.78/14.01 % (909724)Instruction limit reached!
% 91.78/14.01 % (909724)------------------------------
% 91.78/14.01 % (909724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909724)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909724)Termination reason: Instruction limit
% 91.78/14.01 % (909724)Termination phase: Saturation
% 91.78/14.01 % (909724)Time elapsed: 6.557 s
% 91.78/14.01 % (909724)Peak memory usage: 151 MB
% 91.78/14.01 % (909724)Instructions burned: 14156 (million)
% 91.78/14.01 % (909754)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3388528970:cts=off:i=3034:av=off:er=known:fsd=on_2911 on theBenchmark for (2911ds/3034Mi)
% 91.78/14.01 % (909744)Instruction limit reached!
% 91.78/14.01 % (909744)------------------------------
% 91.78/14.01 % (909744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909744)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909744)Termination reason: Instruction limit
% 91.78/14.01 % (909744)Termination phase: Saturation
% 91.78/14.01 % (909744)Time elapsed: 4.005 s
% 91.78/14.01 % (909744)Peak memory usage: 169 MB
% 91.78/14.01 % (909744)Instructions burned: 13915 (million)
% 91.78/14.01 % (909710)Instruction limit reached!
% 91.78/14.01 % (909710)------------------------------
% 91.78/14.01 % (909710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909710)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909710)Termination reason: Instruction limit
% 91.78/14.01 % (909710)Termination phase: Saturation
% 91.78/14.01 % (909710)Time elapsed: 7.734 s
% 91.78/14.01 % (909710)Peak memory usage: 175 MB
% 91.78/14.01 % (909710)Instructions burned: 13193 (million)
% 91.78/14.01 % (909756)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1166337630:st=2:s2a=on:i=524:s2at=2:ss=axioms_2906 on theBenchmark for (2906ds/524Mi)
% 91.78/14.01 % (909757)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=4178165709:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2905 on theBenchmark for (2905ds/1016Mi)
% 91.78/14.01 % (909757)Refutation not found, incomplete strategy
% 91.78/14.01 % (909757)------------------------------
% 91.78/14.01 % (909757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909757)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909757)Termination reason: Refutation not found, incomplete strategy
% 91.78/14.01 % (909757)Time elapsed: 0.002 s
% 91.78/14.01 % (909757)Peak memory usage: 89 MB
% 91.78/14.01 % (909757)Instructions burned: 1 (million)
% 91.78/14.01 % (909756)Instruction limit reached!
% 91.78/14.01 % (909756)------------------------------
% 91.78/14.01 % (909756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909756)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909756)Termination reason: Instruction limit
% 91.78/14.01 % (909756)Termination phase: Saturation
% 91.78/14.01 % (909756)Time elapsed: 0.127 s
% 91.78/14.01 % (909756)Peak memory usage: 92 MB
% 91.78/14.01 % (909756)Instructions burned: 528 (million)
% 91.78/14.01 % (909760)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2036140914:i=14123:bd=preordered:ins=4_2903 on theBenchmark for (2903ds/14123Mi)
% 91.78/14.01 % (909757)------------------------------
% 91.78/14.01 % (909757)------------------------------
% 91.78/14.01 % (909762)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2518500046:i=5781:kws=precedence:bd=all:rawr=on_2901 on theBenchmark for (2901ds/5781Mi)
% 91.78/14.01 % (909734)Instruction limit reached!
% 91.78/14.01 % (909734)------------------------------
% 91.78/14.01 % (909734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909734)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909734)Termination reason: Instruction limit
% 91.78/14.01 % (909734)Termination phase: Saturation
% 91.78/14.01 % (909734)Time elapsed: 6.246 s
% 91.78/14.01 % (909734)Peak memory usage: 209 MB
% 91.78/14.01 % (909734)Instructions burned: 12111 (million)
% 91.78/14.01 % (909764)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2269621588:i=2448:gtgl=5:bd=preordered:gtg=all_2899 on theBenchmark for (2899ds/2448Mi)
% 91.78/14.01 % (909754)Instruction limit reached!
% 91.78/14.01 % (909754)------------------------------
% 91.78/14.01 % (909754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909754)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909754)Termination reason: Instruction limit
% 91.78/14.01 % (909754)Termination phase: Saturation
% 91.78/14.01 % (909754)Time elapsed: 1.750 s
% 91.78/14.01 % (909754)Peak memory usage: 136 MB
% 91.78/14.01 % (909754)Instructions burned: 3035 (million)
% 91.78/14.01 % (909766)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1790804226:i=3223:kws=precedence:fgj=on:av=off_2891 on theBenchmark for (2891ds/3223Mi)
% 91.78/14.01 % (909764)Instruction limit reached!
% 91.78/14.01 % (909764)------------------------------
% 91.78/14.01 % (909764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909764)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909764)Termination reason: Instruction limit
% 91.78/14.01 % (909764)Termination phase: Saturation
% 91.78/14.01 % (909764)Time elapsed: 1.404 s
% 91.78/14.01 % (909764)Peak memory usage: 138 MB
% 91.78/14.01 % (909764)Instructions burned: 2450 (million)
% 91.78/14.01 % (909762)Instruction limit reached!
% 91.78/14.01 % (909762)------------------------------
% 91.78/14.01 % (909762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909762)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909762)Termination reason: Instruction limit
% 91.78/14.01 % (909762)Termination phase: Saturation
% 91.78/14.01 % (909762)Time elapsed: 1.641 s
% 91.78/14.01 % (909762)Peak memory usage: 168 MB
% 91.78/14.01 % (909762)Instructions burned: 5784 (million)
% 91.78/14.01 % (909769)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=417371352:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2883 on theBenchmark for (2883ds/2055Mi)
% 91.78/14.01 % (909768)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3474003528:st=5.6:i=2033:sd=3:ss=axioms_2883 on theBenchmark for (2883ds/2033Mi)
% 91.78/14.01 % (909769)Instruction limit reached!
% 91.78/14.01 % (909769)------------------------------
% 91.78/14.01 % (909769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909769)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909769)Termination reason: Instruction limit
% 91.78/14.01 % (909769)Termination phase: Saturation
% 91.78/14.01 % (909769)Time elapsed: 0.597 s
% 91.78/14.01 % (909769)Peak memory usage: 131 MB
% 91.78/14.01 % (909769)Instructions burned: 2057 (million)
% 91.78/14.01 % (909768)Refutation not found, incomplete strategy
% 91.78/14.01 % (909768)------------------------------
% 91.78/14.01 % (909768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909768)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909768)Termination reason: Refutation not found, incomplete strategy
% 91.78/14.01 % (909768)Time elapsed: 0.622 s
% 91.78/14.01 % (909768)Peak memory usage: 133 MB
% 91.78/14.01 % (909768)Instructions burned: 927 (million)
% 91.78/14.01 % (909772)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1965321679:i=21611:sd=3:ss=axioms_2876 on theBenchmark for (2876ds/21611Mi)
% 91.78/14.01 % (909768)------------------------------
% 91.78/14.01 % (909768)------------------------------
% 91.78/14.01 % (909774)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=4194142208:i=4835:sd=13:ss=axioms:sgt=23_2873 on theBenchmark for (2873ds/4835Mi)
% 91.78/14.01 % (909774)Refutation not found, incomplete strategy
% 91.78/14.01 % (909774)------------------------------
% 91.78/14.01 % (909774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909774)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909774)Termination reason: Refutation not found, incomplete strategy
% 91.78/14.01 % (909774)Time elapsed: 0.011 s
% 91.78/14.01 % (909774)Peak memory usage: 89 MB
% 91.78/14.01 % (909774)Instructions burned: 36 (million)
% 91.78/14.01 % (909669)First to succeed.
% 91.78/14.01 % (909669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-909663"
% 91.78/14.01 % (909774)------------------------------
% 91.78/14.01 % (909774)------------------------------
% 91.78/14.01 % (909766)Instruction limit reached!
% 91.78/14.01 % (909766)------------------------------
% 91.78/14.01 % (909766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 91.78/14.01 % (909766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 91.78/14.01 % (909766)CaDiCaL version: 2.1.3
% 91.78/14.01 % (909766)Termination reason: Instruction limit
% 91.78/14.01 % (909766)Termination phase: Saturation
% 91.78/14.01 % (909766)Time elapsed: 1.972 s
% 91.78/14.01 % (909766)Peak memory usage: 143 MB
% 91.78/14.01 % (909766)Instructions burned: 3224 (million)
% 91.78/14.01 % (909776)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3836056537:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2870 on theBenchmark for (2870ds/797Mi)
% 91.78/14.01 % (909669)Refutation found. Thanks to Tanya!
% 91.78/14.01 % SZS status Theorem for theBenchmark
% 91.78/14.01 % SZS output start Proof for theBenchmark
% See solution above
% 93.41/14.11 % (909669)------------------------------
% 93.41/14.11 % (909669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.41/14.11 % (909669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.41/14.11 % (909669)CaDiCaL version: 2.1.3
% 93.41/14.11 % (909669)Termination reason: Refutation
% 93.41/14.11 % (909669)Time elapsed: 12.668 s
% 93.41/14.11 % (909669)Peak memory usage: 227 MB
% 93.41/14.11 % (909669)Instructions burned: 22161 (million)
% 93.41/14.11 % (909669)------------------------------
% 93.41/14.11 % (909669)------------------------------
% 93.41/14.11 % (909663)Success in time 13.14 s
% 93.41/14.11 % Vampire exiting
%------------------------------------------------------------------------------