%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO304+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 09:52:23 AM UTC 2026
% Result : ContradictoryAxioms 143.47s 24.44s
% Output : Refutation 167.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 82
% Syntax : Number of formulae : 1247 ( 122 unt; 57 def)
% Number of atoms : 8249 (2508 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 11787 (4785 ~;6690 |; 223 &)
% ( 62 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 63 ( 61 usr; 57 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-4 aty)
% Number of variables : 2006 ( 0 sgn1950 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
vangle(vd1271,vd1272,vd1273) = vangle(vd1271,vd1273,vd1272),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(343), 1285, 0)') ).
fof(f4,axiom,
vd1279 = vd1280,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(342, 4)') ).
fof(f5,axiom,
( vd1282 = vd1283
& rR(vd1273,vd1271,vd1282)
& rpoint(vd1283)
& rR(vd1272,vd1271,vd1279) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(342), 4), and(holds(conjunct2(342), 1284, 0), and(pred(conjunct2(342), 1), holds(conjunct1(342), 1281, 0))))') ).
fof(f6,axiom,
rpoint(vd1280),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(342, 1)') ).
fof(f7,axiom,
( vf(vd1271,vd1272) = vf(vd1271,vd1273)
& vd1272 != vd1273
& vd1271 != vd1273
& vd1271 != vd1272
& ? [X0] :
( vd1273 = X0
& rpoint(X0) )
& ? [X1] :
( vd1272 = X1
& rpoint(X1) )
& ? [X2] :
( vd1271 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(341), 1278, 0), and(pred(conjunct1(341), 9), and(pred(conjunct1(341), 8), and(pred(conjunct1(341), 7), and(qe(s3(plural(341))), and(qe(s2(plural(341))), qe(s1(plural(341)))))))))') ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( vf(X0,X1) = vf(X0,X2)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ! [X6,X7,X8,X9] :
( ( X6 = X7
& X8 = X9
& rR(X2,X0,X8)
& rpoint(X9)
& rR(X1,X0,X6)
& rpoint(X7) )
=> ( ~ rless(vf(X0,X6),vf(X0,X8))
=> vangle(X0,X2,X1) = vangle(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(344), 0), 1)') ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( vf(X0,X1) = vf(X0,X2)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ! [X6,X7,X8,X9] :
( ( X6 = X7
& X8 = X9
& rR(X2,X0,X8)
& rpoint(X9)
& rR(X1,X0,X6)
& rpoint(X7) )
=> ( ~ rless(vf(X0,X6),vf(X0,X8))
=> vangle(X2,X0,X1) = vangle(X8,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(344), 0), 11)') ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( vf(X0,X1) = vf(X0,X2)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ! [X6,X7,X8,X9] :
( ( X6 = X7
& X8 = X9
& rR(X2,X0,X8)
& rpoint(X9)
& rR(X1,X0,X6)
& rpoint(X7) )
=> ( rless(vf(X0,X6),vf(X0,X8))
=> vangle(X0,X2,X1) = vangle(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(344), 0), 32)') ).
fof(f50,axiom,
! [X0,X1,X2] :
( ( vf(X0,X1) = vf(X0,X2)
& X1 != X2
& X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ! [X6,X7,X8,X9] :
( ( X6 = X7
& X8 = X9
& rR(X2,X0,X8)
& rpoint(X9)
& rR(X1,X0,X6)
& rpoint(X7) )
=> ( rless(vf(X0,X6),vf(X0,X8))
=> vangle(X1,X0,X2) = vangle(X6,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(344), 0), 42)') ).
fof(f83,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
( ( rR(X2,X1,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f88,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(f89,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(f93,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(f97,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(f99,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(f100,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(f101,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(f104,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(f109,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(f111,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(f116,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f119,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f123,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f146,axiom,
! [X0,X1,X2,X3] :
( ( rR(X1,X0,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ~ rR(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f199,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f199]) ).
fof(f219,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X2,X0,X1) = vangle(X8,X0,X1)
| rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X2,X0,X1) = vangle(X8,X0,X1)
| rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f219]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| ~ rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| ~ rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f261]) ).
fof(f281,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X1,X0,X2) = vangle(X6,X0,X2)
| ~ rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f282,plain,
! [X0,X1,X2] :
( ! [X6,X7,X8,X9] :
( vangle(X1,X0,X2) = vangle(X6,X0,X2)
| ~ rless(vf(X0,X6),vf(X0,X8))
| X6 != X7
| X8 != X9
| ~ rR(X2,X0,X8)
| ~ rpoint(X9)
| ~ rR(X1,X0,X6)
| ~ rpoint(X7) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f281]) ).
fof(f347,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f348,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f347]) ).
fof(f353,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f354,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f353]) ).
fof(f357,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,[],[f88]) ).
fof(f358,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,[],[f357]) ).
fof(f359,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,[],[f89]) ).
fof(f360,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,[],[f359]) ).
fof(f367,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,[],[f93]) ).
fof(f368,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,[],[f367]) ).
fof(f375,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,[],[f97]) ).
fof(f376,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,[],[f375]) ).
fof(f379,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,[],[f99]) ).
fof(f380,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,[],[f379]) ).
fof(f381,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,[],[f100]) ).
fof(f382,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,[],[f381]) ).
fof(f383,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f384,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f383]) ).
fof(f389,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f104]) ).
fof(f390,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f389]) ).
fof(f399,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,[],[f109]) ).
fof(f400,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,[],[f399]) ).
fof(f403,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,[],[f111]) ).
fof(f404,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,[],[f403]) ).
fof(f413,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f116]) ).
fof(f414,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f413]) ).
fof(f423,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f424,plain,
! [X0,X1,X2] :
( vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2)
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f423]) ).
fof(f467,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f146]) ).
fof(f468,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f467]) ).
fof(f551,plain,
( vf(vd1271,vd1272) = vf(vd1271,vd1273)
& vd1272 != vd1273
& vd1271 != vd1273
& vd1271 != vd1272
& vd1273 = sK1
& rpoint(sK1)
& vd1272 = sK2
& rpoint(sK2)
& vd1271 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f7]) ).
fof(f553,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5,X6] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(rectify,[],[f200]) ).
fof(f563,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5,X6] :
( vangle(X2,X0,X1) = vangle(X5,X0,X1)
| rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(rectify,[],[f220]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5,X6] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| ~ rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(rectify,[],[f262]) ).
fof(f594,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X2)
| ~ rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4) )
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(rectify,[],[f282]) ).
fof(f622,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,[],[f360]) ).
fof(f623,plain,
! [X0,X1] :
( ( ron(X1,sK8(X0,X1))
& ron(X0,sK8(X0,X1))
& rline(sK8(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f622]) ).
fof(f628,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f376]) ).
fof(f629,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f628]) ).
fof(f632,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,[],[f390]) ).
fof(f693,plain,
vangle(vd1271,vd1272,vd1273) = vangle(vd1271,vd1273,vd1272),
inference(cnf_transformation,[],[f3]) ).
fof(f694,plain,
vd1279 = vd1280,
inference(cnf_transformation,[],[f4]) ).
fof(f695,plain,
rR(vd1272,vd1271,vd1279),
inference(cnf_transformation,[],[f5]) ).
fof(f699,plain,
rpoint(vd1280),
inference(cnf_transformation,[],[f6]) ).
fof(f700,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f551]) ).
fof(f701,plain,
vd1271 = sK3,
inference(cnf_transformation,[],[f551]) ).
fof(f702,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f551]) ).
fof(f703,plain,
vd1272 = sK2,
inference(cnf_transformation,[],[f551]) ).
fof(f704,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f551]) ).
fof(f705,plain,
vd1273 = sK1,
inference(cnf_transformation,[],[f551]) ).
fof(f706,plain,
vd1272 != vd1271,
inference(cnf_transformation,[],[f551]) ).
fof(f707,plain,
vd1273 != vd1271,
inference(cnf_transformation,[],[f551]) ).
fof(f708,plain,
vd1273 != vd1272,
inference(cnf_transformation,[],[f551]) ).
fof(f709,plain,
vf(vd1271,vd1272) = vf(vd1271,vd1273),
inference(cnf_transformation,[],[f551]) ).
fof(f711,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f553]) ).
fof(f721,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X2,X0,X1) = vangle(X5,X0,X1)
| rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f563]) ).
fof(f742,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| ~ rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f584]) ).
fof(f752,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X0,X2) = vangle(X3,X0,X2)
| ~ rless(vf(X0,X3),vf(X0,X5))
| X3 != X4
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X3)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f594]) ).
fof(f794,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f348]) ).
fof(f798,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f354]) ).
fof(f800,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,[],[f358]) ).
fof(f801,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X1
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f358]) ).
fof(f802,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,[],[f358]) ).
fof(f803,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f358]) ).
fof(f804,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f623]) ).
fof(f805,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f623]) ).
fof(f806,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f623]) ).
fof(f810,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,[],[f368]) ).
fof(f816,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f629]) ).
fof(f817,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f629]) ).
fof(f818,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vangle(X2,X0,X4) != v0
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f629]) ).
fof(f820,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,[],[f380]) ).
fof(f821,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,[],[f382]) ).
fof(f822,plain,
! [X2,X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| X2 != X3
| X0 = X2
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f384]) ).
fof(f827,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f632]) ).
fof(f828,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f632]) ).
fof(f834,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,[],[f400]) ).
fof(f836,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,[],[f404]) ).
fof(f854,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f414]) ).
fof(f857,plain,
v0 = vd684,
inference(cnf_transformation,[],[f119]) ).
fof(f862,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X2) = vplus(vf(X0,X1),vf(X1,X2))
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f424]) ).
fof(f894,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f468]) ).
fof(f1027,plain,
vangle(sK3,sK2,sK1) = vangle(sK3,sK1,sK2),
inference(definition_unfolding,[],[f693,f701,f703,f705,f701,f705,f703]) ).
fof(f1029,plain,
rR(sK2,sK3,vd1280),
inference(definition_unfolding,[],[f695,f703,f701,f694]) ).
fof(f1030,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f709,f701,f703,f701,f705]) ).
fof(f1031,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f708,f705,f703]) ).
fof(f1032,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f707,f705,f701]) ).
fof(f1033,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f706,f703,f701]) ).
fof(f1034,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,[],[f818,f857]) ).
fof(f1035,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,[],[f817,f857]) ).
fof(f1036,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,[],[f816,f857]) ).
fof(f1037,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f828,f857]) ).
fof(f1038,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f827,f857]) ).
fof(f1048,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| rless(vf(X0,X4),vf(X0,X5))
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f711]) ).
fof(f1049,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X2,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1048]) ).
fof(f1050,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( vangle(X0,X7,X1) = vangle(X0,X1,X7)
| rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X7)
| X1 = X7
| X0 = X7
| X0 = X1
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1049]) ).
fof(f1051,plain,
! [X0,X8,X6,X9,X7,X4] :
( vangle(X0,X7,X8) = vangle(X0,X8,X7)
| rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X8,X0,X4)
| ~ rpoint(X4)
| vf(X0,X8) != vf(X0,X7)
| X7 = X8
| X0 = X7
| X0 = X8
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1050]) ).
fof(f1052,plain,
! [X8,X6,X9,X7,X4] :
( vangle(X9,X7,X8) = vangle(X9,X8,X7)
| rless(vf(X9,X4),vf(X9,X6))
| ~ rR(X7,X9,X6)
| ~ rpoint(X6)
| ~ rR(X8,X9,X4)
| ~ rpoint(X4)
| vf(X9,X8) != vf(X9,X7)
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1051]) ).
fof(f1098,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X2,X0,X1) = vangle(X5,X0,X1)
| rless(vf(X0,X4),vf(X0,X5))
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f721]) ).
fof(f1099,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X2,X0,X1) = vangle(X6,X0,X1)
| rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X2,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1098]) ).
fof(f1100,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( vangle(X6,X0,X1) = vangle(X7,X0,X1)
| rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X7)
| X1 = X7
| X0 = X7
| X0 = X1
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1099]) ).
fof(f1101,plain,
! [X0,X8,X6,X9,X7,X4] :
( vangle(X6,X0,X8) = vangle(X7,X0,X8)
| rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X8,X0,X4)
| ~ rpoint(X4)
| vf(X0,X8) != vf(X0,X7)
| X7 = X8
| X0 = X7
| X0 = X8
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1100]) ).
fof(f1102,plain,
! [X8,X6,X9,X7,X4] :
( vf(X9,X8) != vf(X9,X7)
| rless(vf(X9,X4),vf(X9,X6))
| ~ rR(X7,X9,X6)
| ~ rpoint(X6)
| ~ rR(X8,X9,X4)
| ~ rpoint(X4)
| vangle(X6,X9,X8) = vangle(X7,X9,X8)
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1101]) ).
fof(f1207,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| ~ rless(vf(X0,X4),vf(X0,X5))
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f742]) ).
fof(f1208,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X0,X2,X1) = vangle(X0,X1,X2)
| ~ rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X2,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1207]) ).
fof(f1209,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( vangle(X0,X7,X1) = vangle(X0,X1,X7)
| ~ rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X7)
| X1 = X7
| X0 = X7
| X0 = X1
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1208]) ).
fof(f1210,plain,
! [X0,X8,X6,X9,X7,X4] :
( vangle(X0,X7,X8) = vangle(X0,X8,X7)
| ~ rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X8,X0,X4)
| ~ rpoint(X4)
| vf(X0,X8) != vf(X0,X7)
| X7 = X8
| X0 = X7
| X0 = X8
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1209]) ).
fof(f1211,plain,
! [X8,X6,X9,X7,X4] :
( vf(X9,X8) != vf(X9,X7)
| ~ rless(vf(X9,X4),vf(X9,X6))
| ~ rR(X7,X9,X6)
| ~ rpoint(X6)
| ~ rR(X8,X9,X4)
| ~ rpoint(X4)
| vangle(X9,X7,X8) = vangle(X9,X8,X7)
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1210]) ).
fof(f1257,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X0,X2) = vangle(X4,X0,X2)
| ~ rless(vf(X0,X4),vf(X0,X5))
| X5 != X6
| ~ rR(X2,X0,X5)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f752]) ).
fof(f1258,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( vangle(X1,X0,X2) = vangle(X4,X0,X2)
| ~ rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X2,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1257]) ).
fof(f1259,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( vangle(X1,X0,X7) = vangle(X4,X0,X7)
| ~ rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X1,X0,X4)
| ~ rpoint(X4)
| vf(X0,X1) != vf(X0,X7)
| X1 = X7
| X0 = X7
| X0 = X1
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1258]) ).
fof(f1260,plain,
! [X0,X8,X6,X9,X7,X4] :
( vangle(X4,X0,X7) = vangle(X8,X0,X7)
| ~ rless(vf(X0,X4),vf(X0,X6))
| ~ rR(X7,X0,X6)
| ~ rpoint(X6)
| ~ rR(X8,X0,X4)
| ~ rpoint(X4)
| vf(X0,X8) != vf(X0,X7)
| X7 = X8
| X0 = X7
| X0 = X8
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1259]) ).
fof(f1261,plain,
! [X8,X6,X9,X7,X4] :
( vf(X9,X8) != vf(X9,X7)
| ~ rless(vf(X9,X4),vf(X9,X6))
| ~ rR(X7,X9,X6)
| ~ rpoint(X6)
| ~ rR(X8,X9,X4)
| ~ rpoint(X4)
| vangle(X4,X9,X7) = vangle(X8,X9,X7)
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f1260]) ).
fof(f1470,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f794]) ).
fof(f1471,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f1470]) ).
fof(f1477,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X2,X1,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f798]) ).
fof(f1478,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X5,X1,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1477]) ).
fof(f1479,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1478]) ).
fof(f1480,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X5,X6,X4)
| rR(X6,X7,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1479]) ).
fof(f1485,plain,
! [X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f803]) ).
fof(f1486,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1485]) ).
fof(f1487,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1486]) ).
fof(f1488,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,[],[f802]) ).
fof(f1489,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1488]) ).
fof(f1490,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1489]) ).
fof(f1491,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1490]) ).
fof(f1492,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X1,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f801]) ).
fof(f1493,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X1,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X1 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1492]) ).
fof(f1494,plain,
! [X3,X4,X5] :
( ~ rR(X4,X4,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X4 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1493]) ).
fof(f1495,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1494]) ).
fof(f1496,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,[],[f800]) ).
fof(f1497,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1496]) ).
fof(f1498,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1497]) ).
fof(f1499,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f806]) ).
fof(f1500,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1499]) ).
fof(f1501,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f805]) ).
fof(f1502,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1501]) ).
fof(f1503,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f804]) ).
fof(f1504,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f1503]) ).
fof(f1517,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,[],[f810]) ).
fof(f1518,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,[],[f1517]) ).
fof(f1519,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,[],[f1518]) ).
fof(f1520,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,[],[f1519]) ).
fof(f1521,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,[],[f1520]) ).
fof(f1522,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,[],[f1521]) ).
fof(f1523,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ ron(X13,X8)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1522]) ).
fof(f1548,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,[],[f1034]) ).
fof(f1549,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,[],[f1548]) ).
fof(f1550,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,[],[f1549]) ).
fof(f1551,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ~ rR(X1,X3,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1550]) ).
fof(f1552,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,[],[f1035]) ).
fof(f1553,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,[],[f1552]) ).
fof(f1554,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,[],[f1553]) ).
fof(f1555,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,[],[f1554]) ).
fof(f1556,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,[],[f1036]) ).
fof(f1557,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,[],[f1556]) ).
fof(f1558,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,[],[f1557]) ).
fof(f1559,plain,
! [X3,X1,X7,X5] :
( ~ ron(X5,X7)
| rR(X1,X3,X5)
| vd684 = vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1558]) ).
fof(f1563,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,[],[f820]) ).
fof(f1564,plain,
! [X3,X1] :
( ~ rpoint(X3)
| X1 = X3
| vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1563]) ).
fof(f1565,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,[],[f821]) ).
fof(f1566,plain,
! [X3,X1] :
( ~ rpoint(X3)
| X1 = X3
| vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1565]) ).
fof(f1567,plain,
! [X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X3,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f822]) ).
fof(f1568,plain,
! [X3,X1] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1567]) ).
fof(f1577,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1037]) ).
fof(f1578,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1577]) ).
fof(f1579,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1578]) ).
fof(f1580,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1038]) ).
fof(f1581,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1580]) ).
fof(f1597,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,[],[f834]) ).
fof(f1598,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,[],[f1597]) ).
fof(f1599,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,[],[f1598]) ).
fof(f1600,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X4)
| rR(X7,X6,X5)
| rR(X5,X7,X6)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| rR(X6,X7,X5)
| ~ rline(X4)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1599]) ).
fof(f1603,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,[],[f836]) ).
fof(f1604,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,[],[f1603]) ).
fof(f1605,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,[],[f1604]) ).
fof(f1606,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| X4 = X5
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1605]) ).
fof(f1646,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X0,X1,X3) = vangle(X3,X1,X0)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f854]) ).
fof(f1647,plain,
! [X3,X0,X4,X5] :
( vangle(X0,X4,X3) = vangle(X3,X4,X0)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1646]) ).
fof(f1648,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f1647]) ).
fof(f1665,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X1),vf(X1,X3))
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f862]) ).
fof(f1666,plain,
! [X3,X0,X4,X5] :
( vf(X0,X3) = vplus(vf(X0,X4),vf(X4,X3))
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1665]) ).
fof(f1667,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| vf(X5,X3) = vplus(vf(X5,X4),vf(X4,X3))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1666]) ).
fof(f1797,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f894]) ).
fof(f1798,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X5,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1797]) ).
fof(f1799,plain,
! [X0,X6,X7,X4,X5] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X0,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1798]) ).
fof(f1800,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X5,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1799]) ).
fof(f2164,definition,
sF52 = vangle(sK1,sK2,vd1280),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f2165,plain,
vangle(sK1,sK2,vd1280) = sF52,
inference(reorient_equations,[],[f2164]) ).
fof(f2169,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f1579]) ).
fof(f2170,plain,
! [X3,X5] :
( ~ rR(X5,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X5) ),
inference(duplicate_literal_removal,[],[f1495]) ).
fof(f2171,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1491]) ).
fof(f2227,plain,
! [X8,X6,X9,X7,X4] :
( vf(X9,X8) != vf(X9,X7)
| ~ rR(X7,X9,X6)
| ~ rpoint(X6)
| ~ rR(X8,X9,X4)
| ~ rpoint(X4)
| vangle(X9,X7,X8) = vangle(X9,X8,X7)
| X7 = X8
| X7 = X9
| X8 = X9
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(forward_subsumption_resolution,[],[f1052,f1211]) ).
fof(f2230,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK1 = X1
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,X1,sK1) = vangle(sK1,X1,X0) ),
inference(resolution,[],[f1648,f704]) ).
fof(f2231,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK2 = X1
| ~ rpoint(X0)
| sK2 = X0
| vangle(X0,X1,sK2) = vangle(sK2,X1,X0) ),
inference(resolution,[],[f1648,f702]) ).
fof(f2232,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK3 = X1
| ~ rpoint(X0)
| sK3 = X0
| vangle(X0,X1,sK3) = vangle(sK3,X1,X0) ),
inference(resolution,[],[f1648,f700]) ).
fof(f2233,plain,
( rR(sK2,vd1280,sK3)
| ~ rpoint(vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1498,f1029]) ).
fof(f2236,plain,
( rR(sK2,vd1280,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2233,f699]) ).
fof(f2238,plain,
( rR(sK2,vd1280,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2236,f702]) ).
fof(f2240,plain,
rR(sK2,vd1280,sK3),
inference(forward_subsumption_resolution,[],[f2238,f700]) ).
fof(f2243,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| vangle(sK3,sK2,X0) = vangle(sK3,X0,sK2)
| sK2 = X0
| sK2 = sK3
| sK3 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(superposition,[],[f2227,f1030]) ).
fof(f2245,plain,
( vd684 != vf(sK3,sK1)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1581,f1030]) ).
fof(f2246,plain,
( vd684 != vf(sK3,sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2245,f1033]) ).
fof(f2248,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| vangle(sK3,sK2,X0) = vangle(sK3,X0,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2243,f1033]) ).
fof(f2249,plain,
( vd684 != vf(sK3,sK1)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2246,f702]) ).
fof(f2251,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| vangle(sK3,sK2,X0) = vangle(sK3,X0,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2248,f702]) ).
fof(f2252,plain,
vd684 != vf(sK3,sK1),
inference(forward_subsumption_resolution,[],[f2249,f700]) ).
fof(f2254,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| vangle(sK3,sK2,X0) = vangle(sK3,X0,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2251,f700]) ).
fof(f2256,definition,
( spl54_13
<=> ! [X2] :
( ~ rR(sK2,sK3,X2)
| ~ rpoint(X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f2257,plain,
( ! [X2] :
( ~ rR(sK2,sK3,X2)
| ~ rpoint(X2) )
| ~ spl54_13 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2259,definition,
( spl54_14
<=> ! [X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vangle(sK3,sK2,X0) = vangle(sK3,X0,sK2)
| ~ rpoint(X1)
| ~ rR(X0,sK3,X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f2260,plain,
( ! [X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vangle(sK3,sK2,X0) = vangle(sK3,X0,sK2)
| ~ rpoint(X1)
| ~ rR(X0,sK3,X1) )
| ~ spl54_14 ),
inference(avatar_component_clause,[],[f2259]) ).
fof(f2262,plain,
( spl54_13
| spl54_14 ),
inference(avatar_split_clause,[],[f2254,f2259,f2256]) ).
fof(f2263,plain,
( ~ rpoint(vd1280)
| ~ spl54_13 ),
inference(resolution,[],[f2257,f1029]) ).
fof(f2264,plain,
( $false
| ~ spl54_13 ),
inference(forward_subsumption_resolution,[],[f2263,f699]) ).
fof(f2265,plain,
~ spl54_13,
inference(avatar_contradiction_clause,[],[f2264]) ).
fof(f2271,plain,
vd684 = vf(sK2,sK2),
inference(resolution,[],[f2169,f702]) ).
fof(f2272,plain,
vd684 = vf(sK3,sK3),
inference(resolution,[],[f2169,f700]) ).
fof(f2276,plain,
! [X0] :
( sK1 = sK2
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK2,sK1) = vangle(sK1,sK2,X0) ),
inference(resolution,[],[f2230,f702]) ).
fof(f2277,plain,
! [X0] :
( sK1 = sK3
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK3,sK1) = vangle(sK1,sK3,X0) ),
inference(resolution,[],[f2230,f700]) ).
fof(f2278,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK3,sK1) = vangle(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f2277,f1032]) ).
fof(f2279,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK2,sK1) = vangle(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[],[f2276,f1031]) ).
fof(f2292,definition,
( spl54_18
<=> vd1280 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_18])],[avatar_definition]) ).
fof(f2293,plain,
( vd1280 != sK1
| spl54_18 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f2294,plain,
( vd1280 = sK1
| ~ spl54_18 ),
inference(avatar_component_clause,[],[f2292]) ).
fof(f2300,plain,
( sK1 = sK3
| vangle(sK3,sK2,sK1) = vangle(sK1,sK2,sK3) ),
inference(resolution,[],[f2279,f700]) ).
fof(f2301,plain,
vangle(sK3,sK2,sK1) = vangle(sK1,sK2,sK3),
inference(forward_subsumption_resolution,[],[f2300,f1032]) ).
fof(f2309,plain,
vangle(sK3,sK1,sK2) = vangle(sK1,sK2,sK3),
inference(forward_demodulation,[],[f2301,f1027]) ).
fof(f2326,plain,
( sK1 = sK2
| vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2) ),
inference(resolution,[],[f2278,f702]) ).
fof(f2329,plain,
vangle(sK2,sK3,sK1) = vangle(sK1,sK3,sK2),
inference(forward_subsumption_resolution,[],[f2326,f1031]) ).
fof(f2335,plain,
! [X0] :
( sK1 = sK3
| ~ rpoint(X0)
| sK3 = X0
| vangle(X0,sK1,sK3) = vangle(sK3,sK1,X0) ),
inference(resolution,[],[f2232,f704]) ).
fof(f2339,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vangle(X0,sK1,sK3) = vangle(sK3,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f2335,f1032]) ).
fof(f2365,plain,
( sK2 = sK3
| vangle(sK3,sK1,sK2) = vangle(sK2,sK1,sK3) ),
inference(resolution,[],[f2339,f702]) ).
fof(f2367,plain,
vangle(sK3,sK1,sK2) = vangle(sK2,sK1,sK3),
inference(forward_subsumption_resolution,[],[f2365,f1033]) ).
fof(f2371,plain,
vangle(sK1,sK2,sK3) = vangle(sK2,sK1,sK3),
inference(forward_demodulation,[],[f2367,f2309]) ).
fof(f2380,plain,
! [X0] :
( sK2 = sK3
| ~ rpoint(X0)
| sK2 = X0
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,X0) ),
inference(resolution,[],[f2231,f700]) ).
fof(f2381,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vangle(X0,sK3,sK2) = vangle(sK2,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f2380,f1033]) ).
fof(f2406,plain,
( vd1280 = sK2
| vangle(vd1280,sK3,sK2) = vangle(sK2,sK3,vd1280) ),
inference(resolution,[],[f2381,f699]) ).
fof(f2422,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(superposition,[],[f1551,f2371]) ).
fof(f2423,plain,
! [X0] :
( vd684 != vangle(sK1,sK3,sK2)
| ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1551,f2329]) ).
fof(f2424,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ rR(sK2,sK3,sK1)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1551,f1027]) ).
fof(f2479,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK1,X0) = vf(X0,sK1) ),
inference(resolution,[],[f1471,f704]) ).
fof(f2480,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK2,X0) = vf(X0,sK2) ),
inference(resolution,[],[f1471,f702]) ).
fof(f2481,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK3,X0) = vf(X0,sK3) ),
inference(resolution,[],[f1471,f700]) ).
fof(f2485,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X1)
| vd684 = vangle(X3,X2,X1)
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X1 = X2
| X2 = X3
| ~ rline(sK8(X1,X0))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f1502,f1559]) ).
fof(f2486,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X4,X1,X2) = vangle(X5,X1,X3)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f1502,f1523]) ).
fof(f2487,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X4,X1,X2) = vangle(X5,X1,X3)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f2486]) ).
fof(f2488,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X1)
| vd684 = vangle(X3,X2,X1)
| ~ ron(X3,sK8(X1,X0))
| ~ ron(X2,sK8(X1,X0))
| X1 = X2
| X2 = X3
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2485]) ).
fof(f2489,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X4,X1,X2) = vangle(X5,X1,X3)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f2487,f1504]) ).
fof(f2490,plain,
! [X2,X3,X0,X1] :
( ~ ron(X3,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X1)
| vd684 = vangle(X3,X2,X1)
| X0 = X1
| ~ ron(X2,sK8(X1,X0))
| X1 = X2
| X2 = X3
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2488,f1504]) ).
fof(f2491,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X1,X1)
| vd684 = vangle(X1,X2,X1)
| X0 = X1
| ~ ron(X2,sK8(X1,X0))
| X1 = X2
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2490,f1502]) ).
fof(f2492,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X1,X1)
| vd684 = vangle(X1,X2,X1)
| X0 = X1
| ~ ron(X2,sK8(X1,X0))
| X1 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2491]) ).
fof(f2493,plain,
! [X2,X0,X1] :
( ~ ron(X2,sK8(X1,X0))
| ~ rpoint(X1)
| vd684 = vangle(X1,X2,X1)
| X0 = X1
| ~ rpoint(X0)
| X1 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2492,f2171]) ).
fof(f2496,plain,
! [X0,X1] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X1)
| vd684 = vangle(X1,X0,X1)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0) ),
inference(resolution,[],[f1500,f2493]) ).
fof(f2499,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X0,X2,X3)
| rR(X0,X4,X5)
| X0 = X3
| X0 = X5
| X0 = X2
| X0 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X4,X0,X2) = vangle(X5,X0,X3)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X0) ),
inference(resolution,[],[f1500,f1523]) ).
fof(f2500,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X0,X2,X3)
| rR(X0,X4,X5)
| X0 = X3
| X0 = X5
| X0 = X2
| X0 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK8(X1,X0))
| ~ ron(X4,sK8(X1,X0))
| vangle(X4,X0,X2) = vangle(X5,X0,X3)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f2499]) ).
fof(f2503,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f2496]) ).
fof(f2504,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK8(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X0,X2,X3)
| rR(X0,X4,X5)
| X0 = X3
| X0 = X5
| X0 = X2
| X0 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X4,X0,X2) = vangle(X5,X0,X3)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f2500,f1504]) ).
fof(f2508,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vd684 = vangle(sK1,X0,sK1) ),
inference(resolution,[],[f2503,f704]) ).
fof(f2509,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vd684 = vangle(sK2,X0,sK2) ),
inference(resolution,[],[f2503,f702]) ).
fof(f2510,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(sK3,X0,sK3) ),
inference(resolution,[],[f2503,f700]) ).
fof(f2525,plain,
( sK1 = sK3
| vd684 = vangle(sK3,sK1,sK3) ),
inference(resolution,[],[f2510,f704]) ).
fof(f2526,plain,
( sK2 = sK3
| vd684 = vangle(sK3,sK2,sK3) ),
inference(resolution,[],[f2510,f702]) ).
fof(f2528,plain,
vd684 = vangle(sK3,sK2,sK3),
inference(forward_subsumption_resolution,[],[f2526,f1033]) ).
fof(f2529,plain,
vd684 = vangle(sK3,sK1,sK3),
inference(forward_subsumption_resolution,[],[f2525,f1032]) ).
fof(f2543,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(superposition,[],[f1555,f2371]) ).
fof(f2545,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1555,f1027]) ).
fof(f2547,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(superposition,[],[f1555,f2309]) ).
fof(f2552,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rR(X0,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X1,sK3,sK2)
| sK2 = X0
| sK2 = sK3
| sK3 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1261,f1030]) ).
fof(f2555,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rR(X0,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X1,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2552,f1033]) ).
fof(f2557,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rR(X0,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X1,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2555,f702]) ).
fof(f2559,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| ~ rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(sK2,sK3,X2)
| ~ rpoint(X2)
| ~ rR(X0,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X1,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2557,f700]) ).
fof(f2564,plain,
( sK1 = sK2
| vd684 = vangle(sK1,sK2,sK1) ),
inference(resolution,[],[f2508,f702]) ).
fof(f2567,plain,
vd684 = vangle(sK1,sK2,sK1),
inference(forward_subsumption_resolution,[],[f2564,f1031]) ).
fof(f2592,plain,
( sK1 = sK2
| vd684 = vangle(sK2,sK1,sK2) ),
inference(resolution,[],[f2509,f704]) ).
fof(f2594,plain,
( sK2 = sK3
| vd684 = vangle(sK2,sK3,sK2) ),
inference(resolution,[],[f2509,f700]) ).
fof(f2595,plain,
vd684 = vangle(sK2,sK3,sK2),
inference(forward_subsumption_resolution,[],[f2594,f1033]) ).
fof(f2596,plain,
vd684 = vangle(sK2,sK1,sK2),
inference(forward_subsumption_resolution,[],[f2592,f1031]) ).
fof(f2615,definition,
( spl54_30
<=> vd1280 = sK3 ),
introduced(definition,[new_symbols(definition,[spl54_30])],[avatar_definition]) ).
fof(f2616,plain,
( vd1280 != sK3
| spl54_30 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2617,plain,
( vd1280 = sK3
| ~ spl54_30 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2633,definition,
( spl54_34
<=> vd1280 = sK2 ),
introduced(definition,[new_symbols(definition,[spl54_34])],[avatar_definition]) ).
fof(f2634,plain,
( vd1280 != sK2
| spl54_34 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2635,plain,
( vd1280 = sK2
| ~ spl54_34 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2643,definition,
( spl54_36
<=> vangle(vd1280,sK3,sK2) = vangle(sK2,sK3,vd1280) ),
introduced(definition,[new_symbols(definition,[spl54_36])],[avatar_definition]) ).
fof(f2645,plain,
( vangle(vd1280,sK3,sK2) = vangle(sK2,sK3,vd1280)
| ~ spl54_36 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f2646,plain,
( spl54_36
| spl54_34 ),
inference(avatar_split_clause,[],[f2406,f2633,f2643]) ).
fof(f2664,plain,
( rR(sK2,sK2,sK3)
| ~ spl54_34 ),
inference(superposition,[],[f2240,f2635]) ).
fof(f2677,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_34 ),
inference(resolution,[],[f2664,f2170]) ).
fof(f2679,plain,
( ~ rpoint(sK2)
| ~ spl54_34 ),
inference(forward_subsumption_resolution,[],[f2677,f700]) ).
fof(f2680,plain,
( $false
| ~ spl54_34 ),
inference(forward_subsumption_resolution,[],[f2679,f702]) ).
fof(f2681,plain,
~ spl54_34,
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2689,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X2,sK3,sK2)
| sK2 = X0
| sK3 = X0
| sK2 = sK3
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(superposition,[],[f1102,f1030]) ).
fof(f2694,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X2,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2689,f1033]) ).
fof(f2696,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X2,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2694,f702]) ).
fof(f2698,plain,
! [X2,X0,X1] :
( vf(sK3,sK1) != vf(sK3,X0)
| rless(vf(sK3,X1),vf(sK3,X2))
| ~ rR(X0,sK3,X2)
| ~ rpoint(X2)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| vangle(X0,sK3,sK2) = vangle(X2,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2696,f700]) ).
fof(f2704,plain,
vf(sK3,sK2) = vf(sK2,sK3),
inference(resolution,[],[f2480,f700]) ).
fof(f2705,plain,
vf(sK3,sK1) = vf(sK2,sK3),
inference(forward_demodulation,[],[f2704,f1030]) ).
fof(f2764,plain,
vf(sK3,sK1) = vf(sK1,sK3),
inference(resolution,[],[f2479,f700]) ).
fof(f2765,plain,
vf(sK2,sK3) = vf(sK1,sK3),
inference(forward_demodulation,[],[f2764,f2705]) ).
fof(f2773,plain,
( vd684 != vf(sK1,sK3)
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1581,f2765]) ).
fof(f2778,plain,
( vd684 != vf(sK1,sK3)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2773,f1033]) ).
fof(f2787,plain,
( vd684 != vf(sK1,sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2778,f700]) ).
fof(f2796,plain,
vd684 != vf(sK1,sK3),
inference(forward_subsumption_resolution,[],[f2787,f702]) ).
fof(f2811,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vd1280) ),
inference(resolution,[],[f1480,f2240]) ).
fof(f2874,plain,
( ~ rR(vd1280,sK2,sK3)
| ~ rpoint(sK3)
| ~ rpoint(vd1280)
| ~ rpoint(sK2) ),
inference(resolution,[],[f1487,f2240]) ).
fof(f2877,plain,
( ~ rR(sK3,sK2,vd1280)
| ~ rpoint(vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(resolution,[],[f1487,f1029]) ).
fof(f2884,plain,
( ~ rR(vd1280,sK2,sK3)
| ~ rpoint(vd1280)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2874,f700]) ).
fof(f2889,plain,
( ~ rR(vd1280,sK2,sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2884,f699]) ).
fof(f2894,plain,
~ rR(vd1280,sK2,sK3),
inference(forward_subsumption_resolution,[],[f2889,f702]) ).
fof(f2914,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,sK3) = vf(sK3,vskolem1052(X0,X0,sK3,sK3))
| sK3 = X0 ),
inference(resolution,[],[f1566,f700]) ).
fof(f2962,definition,
( spl54_45
<=> rR(sK2,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_45])],[avatar_definition]) ).
fof(f2963,plain,
( rR(sK2,sK3,sK1)
| ~ spl54_45 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f2964,plain,
( ~ rR(sK2,sK3,sK1)
| spl54_45 ),
inference(avatar_component_clause,[],[f2962]) ).
fof(f2969,definition,
( spl54_47
<=> vd684 = vangle(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_47])],[avatar_definition]) ).
fof(f2970,plain,
( vd684 != vangle(sK1,sK3,sK2)
| spl54_47 ),
inference(avatar_component_clause,[],[f2969]) ).
fof(f2971,plain,
( vd684 = vangle(sK1,sK3,sK2)
| ~ spl54_47 ),
inference(avatar_component_clause,[],[f2969]) ).
fof(f2988,definition,
( spl54_50
<=> rR(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_50])],[avatar_definition]) ).
fof(f2989,plain,
( rR(sK1,sK3,sK2)
| ~ spl54_50 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f2990,plain,
( ~ rR(sK1,sK3,sK2)
| spl54_50 ),
inference(avatar_component_clause,[],[f2988]) ).
fof(f3021,definition,
( spl54_51
<=> rR(sK1,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_51])],[avatar_definition]) ).
fof(f3022,plain,
( rR(sK1,sK3,sK3)
| ~ spl54_51 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f3023,plain,
( ~ rR(sK1,sK3,sK3)
| spl54_51 ),
inference(avatar_component_clause,[],[f3021]) ).
fof(f3030,definition,
( spl54_53
<=> rR(sK2,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_53])],[avatar_definition]) ).
fof(f3031,plain,
( rR(sK2,sK3,sK3)
| ~ spl54_53 ),
inference(avatar_component_clause,[],[f3030]) ).
fof(f3032,plain,
( ~ rR(sK2,sK3,sK3)
| spl54_53 ),
inference(avatar_component_clause,[],[f3030]) ).
fof(f3353,plain,
( rR(sK2,sK3,sK1)
| ~ spl54_18 ),
inference(superposition,[],[f1029,f2294]) ).
fof(f3359,plain,
( ~ rR(sK1,sK2,sK3)
| ~ spl54_18 ),
inference(superposition,[],[f2894,f2294]) ).
fof(f3361,plain,
( $false
| ~ spl54_18
| spl54_45 ),
inference(forward_subsumption_resolution,[],[f3353,f2964]) ).
fof(f3362,plain,
( ~ spl54_18
| spl54_45 ),
inference(avatar_contradiction_clause,[],[f3361]) ).
fof(f4982,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK3,vskolem1052(X0,X0,sK3,sK3)) = vf(vskolem1052(X0,X0,sK3,sK3),X0)
| sK3 = X0 ),
inference(resolution,[],[f1564,f700]) ).
fof(f5139,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,sK8(X0,X3))
| ~ ron(X1,sK8(X0,X3))
| rR(X1,X0,X2)
| ~ rline(sK8(X0,X3))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f1600,f1502]) ).
fof(f5140,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,sK8(X3,X0))
| ~ ron(X1,sK8(X3,X0))
| rR(X1,X0,X2)
| ~ rline(sK8(X3,X0))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X0)
| ~ rpoint(X3) ),
inference(resolution,[],[f1600,f1500]) ).
fof(f5150,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,sK8(X3,X0))
| ~ ron(X1,sK8(X3,X0))
| rR(X1,X0,X2)
| ~ rline(sK8(X3,X0))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f5140]) ).
fof(f5151,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| rR(X2,X0,X1)
| ~ ron(X2,sK8(X0,X3))
| ~ ron(X1,sK8(X0,X3))
| rR(X1,X0,X2)
| ~ rline(sK8(X0,X3))
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f5139]) ).
fof(f5503,plain,
( ! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f2424,f2963]) ).
fof(f5506,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2547,f1031]) ).
fof(f5507,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2545,f1031]) ).
fof(f5508,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2543,f1032]) ).
fof(f5559,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X3,X0))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,sK8(X3,X0))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f5150,f1504]) ).
fof(f5560,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(X0,X3))
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| ~ ron(X1,sK8(X0,X3))
| rR(X1,X0,X2)
| X1 = X2
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f5151,f1504]) ).
fof(f5581,plain,
( ! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f5503,f1031]) ).
fof(f5584,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5506,f1032]) ).
fof(f5585,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f5507,f1033]) ).
fof(f5586,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5508,f1031]) ).
fof(f5769,plain,
( ! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f5581,f1033]) ).
fof(f5772,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5584,f702]) ).
fof(f5773,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f5585,f704]) ).
fof(f5774,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5586,f700]) ).
fof(f5817,plain,
( ! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f5769,f704]) ).
fof(f5820,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5772,f700]) ).
fof(f5821,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f5773,f700]) ).
fof(f5822,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5774,f702]) ).
fof(f5862,plain,
( ! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f5817,f700]) ).
fof(f5865,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f5820,f704]) ).
fof(f5866,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f5821,f702]) ).
fof(f5867,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f5822,f704]) ).
fof(f5905,plain,
( ! [X0] :
( vd684 != vangle(sK3,sK1,sK2)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| ~ spl54_45 ),
inference(forward_subsumption_resolution,[],[f5862,f702]) ).
fof(f5908,definition,
( spl54_191
<=> ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_191])],[avatar_definition]) ).
fof(f5909,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK1,X0) )
| ~ spl54_191 ),
inference(avatar_component_clause,[],[f5908]) ).
fof(f5920,definition,
( spl54_194
<=> ! [X0] :
( ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_194])],[avatar_definition]) ).
fof(f5921,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ron(sK2,X0) )
| ~ spl54_194 ),
inference(avatar_component_clause,[],[f5920]) ).
fof(f5923,definition,
( spl54_195
<=> vd684 = vangle(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_195])],[avatar_definition]) ).
fof(f5924,plain,
( vd684 = vangle(sK1,sK2,sK3)
| ~ spl54_195 ),
inference(avatar_component_clause,[],[f5923]) ).
fof(f5925,plain,
( vd684 != vangle(sK1,sK2,sK3)
| spl54_195 ),
inference(avatar_component_clause,[],[f5923]) ).
fof(f5926,plain,
( spl54_194
| ~ spl54_195 ),
inference(avatar_split_clause,[],[f5865,f5923,f5920]) ).
fof(f5927,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) ),
inference(forward_demodulation,[],[f5866,f2309]) ).
fof(f5929,definition,
( spl54_196
<=> ! [X0] :
( ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_196])],[avatar_definition]) ).
fof(f5930,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(sK1,X0)
| ron(sK3,X0) )
| ~ spl54_196 ),
inference(avatar_component_clause,[],[f5929]) ).
fof(f5931,plain,
( spl54_196
| ~ spl54_195 ),
inference(avatar_split_clause,[],[f5867,f5923,f5929]) ).
fof(f5968,plain,
( ! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| ~ spl54_45 ),
inference(forward_demodulation,[],[f5905,f2309]) ).
fof(f5971,definition,
( spl54_201
<=> ! [X0] :
( ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_201])],[avatar_definition]) ).
fof(f5972,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK2,X0)
| ron(sK1,X0) )
| ~ spl54_201 ),
inference(avatar_component_clause,[],[f5971]) ).
fof(f5973,plain,
( spl54_201
| ~ spl54_195 ),
inference(avatar_split_clause,[],[f5927,f5923,f5971]) ).
fof(f5992,definition,
( spl54_202
<=> ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_202])],[avatar_definition]) ).
fof(f5993,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ~ ron(sK2,X0) )
| ~ spl54_202 ),
inference(avatar_component_clause,[],[f5992]) ).
fof(f5994,plain,
( spl54_202
| ~ spl54_195
| ~ spl54_45 ),
inference(avatar_split_clause,[],[f5968,f2962,f5923,f5992]) ).
fof(f5996,definition,
( spl54_203
<=> rR(sK2,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_203])],[avatar_definition]) ).
fof(f5997,plain,
( rR(sK2,sK1,sK1)
| ~ spl54_203 ),
inference(avatar_component_clause,[],[f5996]) ).
fof(f5998,plain,
( ~ rR(sK2,sK1,sK1)
| spl54_203 ),
inference(avatar_component_clause,[],[f5996]) ).
fof(f6035,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X0,X2,X3)
| rR(X0,X4,X1)
| X0 = X3
| X0 = X1
| X0 = X2
| X0 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X1,X0,X3) = vangle(X4,X0,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X4)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2504,f1502]) ).
fof(f6038,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X0,X2,X3)
| rR(X0,X4,X1)
| X0 = X3
| X0 = X1
| X0 = X2
| X0 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ rpoint(X0)
| vangle(X1,X0,X3) = vangle(X4,X0,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f6035]) ).
fof(f6039,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X1,X2,X3)
| rR(X1,X0,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X0 = X1
| ~ ron(X3,X4)
| ~ ron(X2,X4)
| ~ rpoint(X1)
| vangle(X0,X1,X2) = vangle(X0,X1,X3)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f6038,f1502]) ).
fof(f6042,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X1,X2,X3)
| rR(X1,X0,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| ~ ron(X3,X4)
| ~ ron(X2,X4)
| ~ rpoint(X1)
| vangle(X0,X1,X2) = vangle(X0,X1,X3)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f6039]) ).
fof(f6043,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,X4)
| rR(X1,X2,X3)
| X1 = X3
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ ron(X2,X4)
| ~ rpoint(X1)
| vangle(X0,X1,X2) = vangle(X0,X1,X3)
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f6042,f2171]) ).
fof(f6044,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| ~ ron(X1,sK8(X2,X4))
| ~ rpoint(X0)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK8(X2,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4)
| ~ rpoint(X2) ),
inference(resolution,[],[f6043,f1502]) ).
fof(f6056,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| ~ ron(X1,sK8(X2,X4))
| ~ rpoint(X0)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK8(X2,X4))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f6044]) ).
fof(f6058,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X1,sK8(X2,X4))
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| rR(X0,X1,X2)
| ~ rpoint(X0)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f6056,f1504]) ).
fof(f6064,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ rpoint(X2)
| rR(X0,X3,X1)
| ~ rpoint(X0)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(resolution,[],[f6058,f1500]) ).
fof(f6065,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 = X2
| X0 = X3
| ~ rpoint(X2)
| rR(X0,X3,X1)
| ~ rpoint(X0)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| X0 = X1
| X1 = X3 ),
inference(duplicate_literal_removal,[],[f6064]) ).
fof(f6069,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK1 = X0
| ~ rpoint(X1)
| rR(X0,sK1,X2)
| ~ rpoint(X0)
| vangle(X1,X0,X2) = vangle(X1,X0,sK1)
| X0 = X1
| X0 = X2
| sK1 = X2 ),
inference(resolution,[],[f6065,f704]) ).
fof(f6070,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK2 = X0
| ~ rpoint(X1)
| rR(X0,sK2,X2)
| ~ rpoint(X0)
| vangle(X1,X0,X2) = vangle(X1,X0,sK2)
| X0 = X1
| X0 = X2
| sK2 = X2 ),
inference(resolution,[],[f6065,f702]) ).
fof(f6071,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK3 = X0
| ~ rpoint(X1)
| rR(X0,sK3,X2)
| ~ rpoint(X0)
| vangle(X1,X0,X2) = vangle(X1,X0,sK3)
| X0 = X1
| X0 = X2
| sK3 = X2 ),
inference(resolution,[],[f6065,f700]) ).
fof(f6084,plain,
! [X0,X1] :
( sK1 = X0
| ~ rpoint(X1)
| rR(X0,sK1,sK3)
| ~ rpoint(X0)
| vangle(X1,X0,sK1) = vangle(X1,X0,sK3)
| X0 = X1
| sK3 = X0
| sK1 = sK3 ),
inference(resolution,[],[f6069,f700]) ).
fof(f6086,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK1 = X0
| rR(X0,sK1,sK3)
| ~ rpoint(X0)
| vangle(X1,X0,sK1) = vangle(X1,X0,sK3)
| X0 = X1
| sK3 = X0 ),
inference(forward_subsumption_resolution,[],[f6084,f1032]) ).
fof(f6099,plain,
! [X0] :
( sK1 = X0
| rR(X0,sK1,sK3)
| ~ rpoint(X0)
| vangle(sK1,X0,sK1) = vangle(sK1,X0,sK3)
| sK1 = X0
| sK3 = X0 ),
inference(resolution,[],[f6086,f704]) ).
fof(f6103,plain,
! [X0] :
( rR(X0,sK1,sK3)
| sK1 = X0
| ~ rpoint(X0)
| vangle(sK1,X0,sK1) = vangle(sK1,X0,sK3)
| sK3 = X0 ),
inference(duplicate_literal_removal,[],[f6099]) ).
fof(f6105,plain,
! [X0,X1] :
( sK3 = X0
| ~ rpoint(X1)
| rR(X0,sK3,vd1280)
| ~ rpoint(X0)
| vangle(X1,X0,vd1280) = vangle(X1,X0,sK3)
| X0 = X1
| vd1280 = X0
| vd1280 = sK3 ),
inference(resolution,[],[f6071,f699]) ).
fof(f6108,plain,
! [X0,X1] :
( sK3 = X0
| ~ rpoint(X1)
| rR(X0,sK3,sK2)
| ~ rpoint(X0)
| vangle(X1,X0,sK2) = vangle(X1,X0,sK3)
| X0 = X1
| sK2 = X0
| sK2 = sK3 ),
inference(resolution,[],[f6071,f702]) ).
fof(f6111,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK3 = X0
| rR(X0,sK3,sK2)
| ~ rpoint(X0)
| vangle(X1,X0,sK2) = vangle(X1,X0,sK3)
| X0 = X1
| sK2 = X0 ),
inference(forward_subsumption_resolution,[],[f6108,f1033]) ).
fof(f6130,plain,
! [X0] :
( sK3 = X0
| rR(X0,sK3,sK2)
| ~ rpoint(X0)
| vangle(sK3,X0,sK2) = vangle(sK3,X0,sK3)
| sK3 = X0
| sK2 = X0 ),
inference(resolution,[],[f6111,f700]) ).
fof(f6131,plain,
! [X0] :
( rR(X0,sK3,sK2)
| sK3 = X0
| ~ rpoint(X0)
| vangle(sK3,X0,sK2) = vangle(sK3,X0,sK3)
| sK2 = X0 ),
inference(duplicate_literal_removal,[],[f6130]) ).
fof(f6139,plain,
! [X0,X1] :
( sK2 = X0
| ~ rpoint(X1)
| rR(X0,sK2,sK3)
| ~ rpoint(X0)
| vangle(X1,X0,sK2) = vangle(X1,X0,sK3)
| X0 = X1
| sK3 = X0
| sK2 = sK3 ),
inference(resolution,[],[f6070,f700]) ).
fof(f6141,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK2 = X0
| rR(X0,sK2,sK3)
| ~ rpoint(X0)
| vangle(X1,X0,sK2) = vangle(X1,X0,sK3)
| X0 = X1
| sK3 = X0 ),
inference(forward_subsumption_resolution,[],[f6139,f1033]) ).
fof(f6159,plain,
! [X0] :
( sK2 = X0
| rR(X0,sK2,sK3)
| ~ rpoint(X0)
| vangle(sK2,X0,sK2) = vangle(sK2,X0,sK3)
| sK2 = X0
| sK3 = X0 ),
inference(resolution,[],[f6141,f702]) ).
fof(f6162,plain,
! [X0] :
( rR(X0,sK2,sK3)
| sK2 = X0
| ~ rpoint(X0)
| vangle(sK2,X0,sK2) = vangle(sK2,X0,sK3)
| sK3 = X0 ),
inference(duplicate_literal_removal,[],[f6159]) ).
fof(f6264,plain,
( sK1 = sK3
| ~ rpoint(sK1)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| spl54_50 ),
inference(resolution,[],[f6131,f2990]) ).
fof(f6272,plain,
( ~ rpoint(sK1)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f6264,f1032]) ).
fof(f6276,plain,
( vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f6272,f704]) ).
fof(f6280,plain,
( vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| spl54_50 ),
inference(forward_subsumption_resolution,[],[f6276,f1031]) ).
fof(f6281,plain,
( vd684 = vangle(sK3,sK1,sK2)
| spl54_50 ),
inference(forward_demodulation,[],[f6280,f2529]) ).
fof(f6282,plain,
( vd684 = vangle(sK1,sK2,sK3)
| spl54_50 ),
inference(forward_demodulation,[],[f6281,f2309]) ).
fof(f6283,plain,
( $false
| spl54_50
| spl54_195 ),
inference(forward_subsumption_resolution,[],[f6282,f5925]) ).
fof(f6284,plain,
( spl54_50
| spl54_195 ),
inference(avatar_contradiction_clause,[],[f6283]) ).
fof(f6292,plain,
( rR(sK1,sK2,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_50 ),
inference(resolution,[],[f2989,f1498]) ).
fof(f6293,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_18
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f6292,f3359]) ).
fof(f6297,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_18
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f6293,f702]) ).
fof(f6301,plain,
( ~ rpoint(sK3)
| ~ spl54_18
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f6297,f704]) ).
fof(f6305,plain,
( $false
| ~ spl54_18
| ~ spl54_50 ),
inference(forward_subsumption_resolution,[],[f6301,f700]) ).
fof(f6306,plain,
( ~ spl54_18
| ~ spl54_50 ),
inference(avatar_contradiction_clause,[],[f6305]) ).
fof(f6323,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| ~ spl54_195 ),
inference(superposition,[],[f1551,f5924]) ).
fof(f6326,plain,
( ! [X0] :
( ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| ~ spl54_195 ),
inference(trivial_inequality_removal,[],[f6323]) ).
fof(f6508,plain,
( ! [X0] :
( ~ rline(sK8(sK3,X0))
| ~ ron(sK2,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_202 ),
inference(resolution,[],[f5993,f1502]) ).
fof(f6513,plain,
( ! [X0] :
( ~ ron(sK2,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_202 ),
inference(forward_subsumption_resolution,[],[f6508,f1504]) ).
fof(f6515,plain,
( ! [X0] :
( ~ ron(sK2,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_202 ),
inference(forward_subsumption_resolution,[],[f6513,f700]) ).
fof(f6516,plain,
( ! [X0] :
( ~ rline(sK8(sK3,X0))
| ~ ron(sK2,sK8(sK3,X0))
| ron(sK1,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(resolution,[],[f5972,f1502]) ).
fof(f6517,plain,
( ! [X0] :
( ~ rline(sK8(X0,sK3))
| ~ ron(sK2,sK8(X0,sK3))
| ron(sK1,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(resolution,[],[f5972,f1500]) ).
fof(f6520,plain,
( ! [X0] :
( ~ rline(sK8(X0,sK3))
| ~ ron(sK2,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) )
| ~ spl54_191
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f6517,f5909]) ).
fof(f6522,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_202 ),
inference(resolution,[],[f6515,f1500]) ).
fof(f6523,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_202 ),
inference(duplicate_literal_removal,[],[f6522]) ).
fof(f6524,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_202 ),
inference(forward_subsumption_resolution,[],[f6523,f1033]) ).
fof(f6525,plain,
( ~ rpoint(sK3)
| ~ spl54_202 ),
inference(forward_subsumption_resolution,[],[f6524,f702]) ).
fof(f6526,plain,
( $false
| ~ spl54_202 ),
inference(forward_subsumption_resolution,[],[f6525,f700]) ).
fof(f6527,plain,
~ spl54_202,
inference(avatar_contradiction_clause,[],[f6526]) ).
fof(f6535,plain,
( ! [X0] :
( ~ ron(sK2,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) )
| ~ spl54_191
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f6520,f1504]) ).
fof(f6569,definition,
( spl54_217
<=> rR(sK1,sK3,vd1280) ),
introduced(definition,[new_symbols(definition,[spl54_217])],[avatar_definition]) ).
fof(f6570,plain,
( rR(sK1,sK3,vd1280)
| ~ spl54_217 ),
inference(avatar_component_clause,[],[f6569]) ).
fof(f6571,plain,
( ~ rR(sK1,sK3,vd1280)
| spl54_217 ),
inference(avatar_component_clause,[],[f6569]) ).
fof(f6597,plain,
( ! [X0] :
( ~ ron(sK2,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_191
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f6535,f700]) ).
fof(f6950,definition,
( spl54_245
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_245])],[avatar_definition]) ).
fof(f6951,plain,
( vd684 = sF52
| ~ spl54_245 ),
inference(avatar_component_clause,[],[f6950]) ).
fof(f6952,plain,
( vd684 != sF52
| spl54_245 ),
inference(avatar_component_clause,[],[f6950]) ).
fof(f7059,definition,
( spl54_255
<=> rR(sK2,vd1280,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_255])],[avatar_definition]) ).
fof(f7060,plain,
( rR(sK2,vd1280,sK1)
| ~ spl54_255 ),
inference(avatar_component_clause,[],[f7059]) ).
fof(f7061,plain,
( ~ rR(sK2,vd1280,sK1)
| spl54_255 ),
inference(avatar_component_clause,[],[f7059]) ).
fof(f7145,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_191
| ~ spl54_201 ),
inference(resolution,[],[f6597,f1502]) ).
fof(f7146,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_191
| ~ spl54_201 ),
inference(duplicate_literal_removal,[],[f7145]) ).
fof(f7147,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_191
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7146,f1033]) ).
fof(f7148,plain,
( ~ rpoint(sK3)
| ~ spl54_191
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7147,f702]) ).
fof(f7149,plain,
( $false
| ~ spl54_191
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7148,f700]) ).
fof(f7150,plain,
( ~ spl54_191
| ~ spl54_201 ),
inference(avatar_contradiction_clause,[],[f7149]) ).
fof(f7153,plain,
( ! [X0] :
( ~ ron(sK2,sK8(sK3,X0))
| ron(sK1,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f6516,f1504]) ).
fof(f7154,plain,
( ! [X0] :
( ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK3
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f2422,f5924]) ).
fof(f7155,plain,
( ! [X0] :
( ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f6326,f1033]) ).
fof(f7157,plain,
( ! [X0] :
( ~ ron(sK2,sK8(sK3,X0))
| ron(sK1,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7153,f700]) ).
fof(f7158,plain,
( ! [X0] :
( ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7154,f1032]) ).
fof(f7159,plain,
( ! [X0] :
( ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7155,f1031]) ).
fof(f7160,plain,
( ! [X0] :
( ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7158,f1031]) ).
fof(f7161,plain,
( ! [X0] :
( ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7159,f700]) ).
fof(f7162,plain,
( ! [X0] :
( ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7160,f700]) ).
fof(f7163,plain,
( ! [X0] :
( ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7161,f704]) ).
fof(f7164,plain,
( ! [X0] :
( ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7162,f702]) ).
fof(f7165,plain,
( ! [X0] :
( ~ rR(sK2,sK1,sK3)
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7163,f702]) ).
fof(f7166,plain,
( ! [X0] :
( ~ rR(sK1,sK2,sK3)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_195 ),
inference(forward_subsumption_resolution,[],[f7164,f704]) ).
fof(f7168,definition,
( spl54_264
<=> rR(sK2,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_264])],[avatar_definition]) ).
fof(f7169,plain,
( rR(sK2,sK1,sK3)
| ~ spl54_264 ),
inference(avatar_component_clause,[],[f7168]) ).
fof(f7170,plain,
( ~ rR(sK2,sK1,sK3)
| spl54_264 ),
inference(avatar_component_clause,[],[f7168]) ).
fof(f7171,plain,
( spl54_191
| ~ spl54_264
| ~ spl54_195 ),
inference(avatar_split_clause,[],[f7165,f5923,f7168,f5908]) ).
fof(f7173,definition,
( spl54_265
<=> rR(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_265])],[avatar_definition]) ).
fof(f7174,plain,
( rR(sK1,sK2,sK3)
| ~ spl54_265 ),
inference(avatar_component_clause,[],[f7173]) ).
fof(f7175,plain,
( ~ rR(sK1,sK2,sK3)
| spl54_265 ),
inference(avatar_component_clause,[],[f7173]) ).
fof(f7176,plain,
( spl54_191
| ~ spl54_265
| ~ spl54_195 ),
inference(avatar_split_clause,[],[f7166,f5923,f7173,f5908]) ).
fof(f7178,plain,
( sK1 = sK2
| ~ rpoint(sK2)
| vangle(sK1,sK2,sK1) = vangle(sK1,sK2,sK3)
| sK2 = sK3
| spl54_264 ),
inference(resolution,[],[f7170,f6103]) ).
fof(f7179,plain,
( ~ rpoint(sK2)
| vangle(sK1,sK2,sK1) = vangle(sK1,sK2,sK3)
| sK2 = sK3
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7178,f1031]) ).
fof(f7181,plain,
( vangle(sK1,sK2,sK1) = vangle(sK1,sK2,sK3)
| sK2 = sK3
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7179,f702]) ).
fof(f7183,plain,
( vangle(sK1,sK2,sK1) = vangle(sK1,sK2,sK3)
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7181,f1033]) ).
fof(f7217,plain,
( ! [X0] :
( ~ rline(sK8(sK3,X0))
| ~ ron(sK1,sK8(sK3,X0))
| ron(sK2,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_194 ),
inference(resolution,[],[f5921,f1502]) ).
fof(f7222,plain,
( ! [X0] :
( ~ ron(sK1,sK8(sK3,X0))
| ron(sK2,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f7217,f1504]) ).
fof(f7224,plain,
( ! [X0] :
( ~ ron(sK1,sK8(sK3,X0))
| ron(sK2,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f7222,f700]) ).
fof(f7237,plain,
( ! [X0] :
( ~ rline(sK8(sK2,X0))
| ~ ron(sK1,sK8(sK2,X0))
| ron(sK3,sK8(sK2,X0))
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(resolution,[],[f5930,f1502]) ).
fof(f7242,plain,
( ! [X0] :
( ~ ron(sK1,sK8(sK2,X0))
| ron(sK3,sK8(sK2,X0))
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f7237,f1504]) ).
fof(f7244,plain,
( ! [X0] :
( ~ ron(sK1,sK8(sK2,X0))
| ron(sK3,sK8(sK2,X0))
| sK2 = X0
| ~ rpoint(X0) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f7242,f702]) ).
fof(f7539,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1280) ),
inference(forward_subsumption_resolution,[],[f2811,f700]) ).
fof(f7540,plain,
( ~ rR(sK3,sK2,vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2877,f699]) ).
fof(f7541,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1280) ),
inference(forward_subsumption_resolution,[],[f7539,f702]) ).
fof(f7542,plain,
( ~ rR(sK3,sK2,vd1280)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f7540,f700]) ).
fof(f7543,plain,
! [X0] :
( ~ rR(sK3,sK2,X0)
| rR(sK2,vd1280,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f7541,f699]) ).
fof(f7544,plain,
~ rR(sK3,sK2,vd1280),
inference(forward_subsumption_resolution,[],[f7542,f702]) ).
fof(f7552,plain,
( sK1 = sK2
| ~ rpoint(sK1)
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| sK1 = sK3
| spl54_265 ),
inference(resolution,[],[f6162,f7175]) ).
fof(f7558,plain,
( ~ rpoint(sK1)
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| sK1 = sK3
| spl54_265 ),
inference(forward_subsumption_resolution,[],[f7552,f1031]) ).
fof(f7564,plain,
( vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| sK1 = sK3
| spl54_265 ),
inference(forward_subsumption_resolution,[],[f7558,f704]) ).
fof(f7570,plain,
( vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| spl54_265 ),
inference(forward_subsumption_resolution,[],[f7564,f1032]) ).
fof(f7573,plain,
( vd684 = vangle(sK2,sK1,sK3)
| spl54_265 ),
inference(forward_demodulation,[],[f7570,f2596]) ).
fof(f7576,plain,
( vd684 = vangle(sK1,sK2,sK3)
| spl54_265 ),
inference(forward_demodulation,[],[f7573,f2371]) ).
fof(f7602,plain,
( ron(sK1,sK8(sK3,sK2))
| sK2 = sK3
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(resolution,[],[f7157,f1500]) ).
fof(f7603,plain,
( ron(sK1,sK8(sK3,sK2))
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(duplicate_literal_removal,[],[f7602]) ).
fof(f7604,plain,
( ron(sK1,sK8(sK3,sK2))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7603,f1033]) ).
fof(f7605,plain,
( ron(sK1,sK8(sK3,sK2))
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7604,f702]) ).
fof(f7606,plain,
( ron(sK1,sK8(sK3,sK2))
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7605,f700]) ).
fof(f7614,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK3)
| rR(sK2,X0,X1)
| rR(sK2,sK1,sK3)
| sK2 = X1
| sK2 = sK3
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(resolution,[],[f7606,f6038]) ).
fof(f7621,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(sK1,X0,X1)
| rR(sK1,X2,X3)
| sK1 = X1
| sK1 = X3
| sK1 = X0
| sK1 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,sK8(sK3,sK2))
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK1,X0) = vangle(X3,sK1,X1)
| ~ rline(X4)
| ~ rline(sK8(sK3,sK2))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(resolution,[],[f7606,f1523]) ).
fof(f7622,plain,
( ! [X2,X3,X0,X1,X4] :
( rR(sK1,X0,X1)
| rR(sK1,X2,X3)
| sK1 = X1
| sK1 = X3
| sK1 = X0
| sK1 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,sK8(sK3,sK2))
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK1,X0) = vangle(X3,sK1,X1)
| ~ rline(X4)
| ~ rline(sK8(sK3,sK2))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7621,f704]) ).
fof(f7627,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| rR(sK2,sK1,sK3)
| sK2 = X1
| sK2 = sK3
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f7614,f700]) ).
fof(f7635,definition,
( spl54_276
<=> rline(sK8(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl54_276])],[avatar_definition]) ).
fof(f7636,plain,
( rline(sK8(sK3,sK2))
| ~ spl54_276 ),
inference(avatar_component_clause,[],[f7635]) ).
fof(f7637,plain,
( ~ rline(sK8(sK3,sK2))
| spl54_276 ),
inference(avatar_component_clause,[],[f7635]) ).
fof(f7639,definition,
( spl54_277
<=> ! [X4,X0,X3,X2,X1] :
( rR(sK1,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X4)
| vangle(X2,sK1,X0) = vangle(X3,sK1,X1)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| sK1 = X0
| sK1 = X1
| rR(sK1,X2,X3)
| ~ ron(X2,sK8(sK3,sK2))
| ~ ron(X3,sK8(sK3,sK2))
| sK1 = X2
| sK1 = X3 ) ),
introduced(definition,[new_symbols(definition,[spl54_277])],[avatar_definition]) ).
fof(f7640,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK8(sK3,sK2))
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rline(X4)
| vangle(X2,sK1,X0) = vangle(X3,sK1,X1)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| sK1 = X0
| sK1 = X1
| rR(sK1,X2,X3)
| ~ ron(X2,sK8(sK3,sK2))
| rR(sK1,X0,X1)
| sK1 = X2
| sK1 = X3 )
| ~ spl54_277 ),
inference(avatar_component_clause,[],[f7639]) ).
fof(f7641,plain,
( ~ spl54_276
| spl54_277
| ~ spl54_201 ),
inference(avatar_split_clause,[],[f7622,f5971,f7639,f7635]) ).
fof(f7658,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = sK3
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7627,f7170]) ).
fof(f7665,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7658,f1033]) ).
fof(f7672,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7665,f1031]) ).
fof(f7679,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7672,f702]) ).
fof(f7684,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| sK2 = X1
| sK2 = X0
| rR(sK2,X0,X1)
| ~ ron(X0,X2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7679,f704]) ).
fof(f7686,definition,
( spl54_282
<=> rR(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_282])],[avatar_definition]) ).
fof(f7687,plain,
( ~ rR(sK3,sK1,sK2)
| spl54_282 ),
inference(avatar_component_clause,[],[f7686]) ).
fof(f7688,plain,
( rR(sK3,sK1,sK2)
| ~ spl54_282 ),
inference(avatar_component_clause,[],[f7686]) ).
fof(f7709,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| sK2 = X1
| rR(sK2,X1,X0)
| ~ ron(X1,sK8(X0,X2))
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(sK8(X0,X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f7684,f1502]) ).
fof(f7722,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| sK2 = X1
| rR(sK2,X1,X0)
| ~ ron(X1,sK8(X0,X2))
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(sK8(X0,X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f7709]) ).
fof(f7724,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,sK8(X0,X2))
| sK2 = X1
| rR(sK2,X1,X0)
| sK2 = X0
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7722,f1504]) ).
fof(f7735,plain,
( ! [X0,X1] :
( sK2 = X0
| rR(sK2,X0,X0)
| sK2 = X0
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f7724,f1502]) ).
fof(f7740,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| rR(sK2,X0,X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| X0 = X1
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f7735]) ).
fof(f7782,plain,
( ! [X0] :
( rR(sK2,X0,X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f7740,f702]) ).
fof(f7784,plain,
( ! [X0] :
( rR(sK2,X0,X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f7782]) ).
fof(f7791,plain,
( ! [X0] :
( vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f7784,f2171]) ).
fof(f7794,plain,
( ! [X0] :
( vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0
| ~ rpoint(sK2) )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f7791]) ).
fof(f7800,plain,
( ! [X0] :
( ~ rpoint(X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7794,f702]) ).
fof(f7807,plain,
( vangle(sK1,sK2,vd1280) = vangle(sK3,sK2,vd1280)
| vd1280 = sK2
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f7800,f699]) ).
fof(f7815,plain,
( vangle(sK1,sK2,vd1280) = vangle(sK3,sK2,vd1280)
| spl54_34
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7807,f2634]) ).
fof(f7818,plain,
( sF52 = vangle(sK3,sK2,vd1280)
| spl54_34
| ~ spl54_201
| spl54_264 ),
inference(forward_demodulation,[],[f7815,f2165]) ).
fof(f7837,plain,
( ! [X0] :
( vd684 != sF52
| ~ rR(sK2,sK3,vd1280)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| vd1280 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| spl54_264 ),
inference(superposition,[],[f1551,f7818]) ).
fof(f8007,plain,
( rR(sK2,sK3,sK3)
| ~ spl54_30 ),
inference(superposition,[],[f1029,f2617]) ).
fof(f8023,plain,
( $false
| ~ spl54_30
| spl54_53 ),
inference(forward_subsumption_resolution,[],[f8007,f3032]) ).
fof(f8024,plain,
( ~ spl54_30
| spl54_53 ),
inference(avatar_contradiction_clause,[],[f8023]) ).
fof(f8038,plain,
( ! [X0] :
( ~ rR(sK2,sK3,vd1280)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| vd1280 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f7837,f6951]) ).
fof(f8044,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| vd1280 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8038,f1029]) ).
fof(f8050,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8044,f2634]) ).
fof(f8056,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8050,f1033]) ).
fof(f8065,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8056,f699]) ).
fof(f8070,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8065,f700]) ).
fof(f8075,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) )
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8070,f702]) ).
fof(f8076,plain,
( spl54_202
| spl54_34
| ~ spl54_201
| ~ spl54_245
| spl54_264 ),
inference(avatar_split_clause,[],[f8075,f7168,f6950,f5971,f2633,f5992]) ).
fof(f8082,plain,
( vd684 = vangle(sK1,sK2,sK3)
| spl54_264 ),
inference(forward_demodulation,[],[f7183,f2567]) ).
fof(f8090,plain,
( $false
| spl54_195
| spl54_265 ),
inference(forward_subsumption_resolution,[],[f7576,f5925]) ).
fof(f8091,plain,
( spl54_195
| spl54_265 ),
inference(avatar_contradiction_clause,[],[f8090]) ).
fof(f8097,plain,
( $false
| spl54_195
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8082,f5925]) ).
fof(f8098,plain,
( spl54_195
| spl54_264 ),
inference(avatar_contradiction_clause,[],[f8097]) ).
fof(f8134,plain,
( ~ rR(sK1,sK2,sK3)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_264 ),
inference(resolution,[],[f7169,f1487]) ).
fof(f8140,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_264
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f8134,f7174]) ).
fof(f8143,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_264
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f8140,f700]) ).
fof(f8146,plain,
( ~ rpoint(sK2)
| ~ spl54_264
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f8143,f704]) ).
fof(f8147,plain,
( $false
| ~ spl54_264
| ~ spl54_265 ),
inference(forward_subsumption_resolution,[],[f8146,f702]) ).
fof(f8148,plain,
( ~ spl54_264
| ~ spl54_265 ),
inference(avatar_contradiction_clause,[],[f8147]) ).
fof(f8154,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| sK3 = X0
| rR(X0,sK3,vd1280)
| ~ rpoint(X0)
| vangle(X1,X0,vd1280) = vangle(X1,X0,sK3)
| X0 = X1
| vd1280 = X0 )
| spl54_30 ),
inference(forward_subsumption_resolution,[],[f6105,f2616]) ).
fof(f8458,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| rR(sK2,X0,X1)
| rR(sK2,X2,sK1)
| sK2 = X1
| sK1 = sK2
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK2 = sK3
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(resolution,[],[f7606,f2504]) ).
fof(f8462,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK3)
| rR(sK2,X0,X1)
| rR(sK2,sK1,sK3)
| sK2 = X1
| sK2 = sK3
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(resolution,[],[f7606,f6038]) ).
fof(f8471,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| rR(sK2,sK1,sK3)
| sK2 = X1
| sK2 = sK3
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8462,f700]) ).
fof(f8474,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK3)
| rR(sK2,X0,X1)
| rR(sK2,X2,sK1)
| sK2 = X1
| sK1 = sK2
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK2 = sK3
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8458,f702]) ).
fof(f8477,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = sK3
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8471,f7170]) ).
fof(f8480,plain,
( ! [X2,X3,X0,X1] :
( rR(sK2,X0,X1)
| rR(sK2,X2,sK1)
| sK2 = X1
| sK1 = sK2
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK2 = sK3
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8474,f700]) ).
fof(f8483,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| sK1 = sK2
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8477,f1033]) ).
fof(f8486,plain,
( ! [X2,X3,X0,X1] :
( rR(sK2,X0,X1)
| rR(sK2,X2,sK1)
| sK2 = X1
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK2 = sK3
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8480,f1031]) ).
fof(f8489,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8483,f1031]) ).
fof(f8492,plain,
( ! [X2,X3,X0,X1] :
( rR(sK2,X0,X1)
| rR(sK2,X2,sK1)
| sK2 = X1
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ ron(X2,sK8(sK3,sK2))
| vangle(X2,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8486,f1033]) ).
fof(f8495,plain,
( ! [X2,X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8489,f702]) ).
fof(f8497,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(sK3,sK2))
| rR(sK2,X2,sK1)
| sK2 = X1
| sK2 = X0
| sK2 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| rR(sK2,X0,X1)
| vangle(X2,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8492,f704]) ).
fof(f8499,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| sK2 = X1
| sK2 = X0
| rR(sK2,X0,X1)
| ~ ron(X0,X2)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8495,f704]) ).
fof(f8515,plain,
( ! [X0] :
( ~ rline(sK8(sK3,X0))
| ~ ron(sK2,sK8(sK3,X0))
| ron(sK1,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(resolution,[],[f5972,f1502]) ).
fof(f8516,plain,
( ! [X0] :
( ~ rline(sK8(X0,sK3))
| ~ ron(sK2,sK8(X0,sK3))
| ron(sK1,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(resolution,[],[f5972,f1500]) ).
fof(f8519,plain,
( ! [X0] :
( ~ ron(sK2,sK8(X0,sK3))
| ron(sK1,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8516,f1504]) ).
fof(f8520,plain,
( ! [X0] :
( ~ ron(sK2,sK8(sK3,X0))
| ron(sK1,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8515,f1504]) ).
fof(f8521,plain,
( ! [X0] :
( ~ ron(sK2,sK8(X0,sK3))
| ron(sK1,sK8(X0,sK3))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8519,f700]) ).
fof(f8522,plain,
( ! [X0] :
( ~ ron(sK2,sK8(sK3,X0))
| ron(sK1,sK8(sK3,X0))
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f8520,f700]) ).
fof(f8532,plain,
( ! [X0] :
( ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK1 = sK3
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f2423,f2971]) ).
fof(f8533,plain,
( ! [X0] :
( ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f8532,f1032]) ).
fof(f8534,plain,
( ! [X0] :
( ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f8533,f1033]) ).
fof(f8535,plain,
( ! [X0] :
( ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f8534,f704]) ).
fof(f8536,plain,
( ! [X0] :
( ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f8535,f702]) ).
fof(f8537,plain,
( ! [X0] :
( ~ rR(sK3,sK2,sK1)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_47 ),
inference(forward_subsumption_resolution,[],[f8536,f700]) ).
fof(f8539,definition,
( spl54_297
<=> rR(sK3,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_297])],[avatar_definition]) ).
fof(f8540,plain,
( rR(sK3,sK2,sK1)
| ~ spl54_297 ),
inference(avatar_component_clause,[],[f8539]) ).
fof(f8541,plain,
( ~ rR(sK3,sK2,sK1)
| spl54_297 ),
inference(avatar_component_clause,[],[f8539]) ).
fof(f8542,plain,
( spl54_202
| ~ spl54_297
| ~ spl54_47 ),
inference(avatar_split_clause,[],[f8537,f2969,f8539,f5992]) ).
fof(f8760,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_53 ),
inference(resolution,[],[f3031,f2171]) ).
fof(f8765,plain,
( ~ rpoint(sK2)
| ~ spl54_53 ),
inference(forward_subsumption_resolution,[],[f8760,f700]) ).
fof(f8769,plain,
( $false
| ~ spl54_53 ),
inference(forward_subsumption_resolution,[],[f8765,f702]) ).
fof(f8770,plain,
~ spl54_53,
inference(avatar_contradiction_clause,[],[f8769]) ).
fof(f8789,plain,
( rR(sK2,sK1,vd1280)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(vd1280)
| ~ spl54_255 ),
inference(resolution,[],[f7060,f1498]) ).
fof(f8790,plain,
( rR(sK2,sK1,vd1280)
| ~ rpoint(sK2)
| ~ rpoint(vd1280)
| ~ spl54_255 ),
inference(forward_subsumption_resolution,[],[f8789,f704]) ).
fof(f8794,plain,
( rR(sK2,sK1,vd1280)
| ~ rpoint(vd1280)
| ~ spl54_255 ),
inference(forward_subsumption_resolution,[],[f8790,f702]) ).
fof(f8798,plain,
( rR(sK2,sK1,vd1280)
| ~ spl54_255 ),
inference(forward_subsumption_resolution,[],[f8794,f699]) ).
fof(f8802,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| sK2 = X1
| rR(sK2,X1,X0)
| ~ ron(X1,sK8(X0,X2))
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(sK8(X0,X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f8499,f1502]) ).
fof(f8815,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| sK2 = X1
| rR(sK2,X1,X0)
| ~ ron(X1,sK8(X0,X2))
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(sK8(X0,X2))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f8802]) ).
fof(f8817,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,sK8(X0,X2))
| sK2 = X1
| rR(sK2,X1,X0)
| sK2 = X0
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8815,f1504]) ).
fof(f8847,plain,
( ! [X0,X1] :
( sK2 = X0
| rR(sK2,X0,X0)
| sK2 = X0
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f8817,f1502]) ).
fof(f8848,plain,
( ! [X0,X1] :
( sK2 = X0
| rR(sK2,X0,X1)
| sK2 = X1
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f8817,f1500]) ).
fof(f8851,plain,
( ! [X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X0
| sK2 = X1
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f8848]) ).
fof(f8852,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| rR(sK2,X0,X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| X0 = X1
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f8847]) ).
fof(f8866,plain,
( ! [X0,X1] :
( sK2 = X0
| sK2 = X1
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| rR(sK2,X1,X0)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X0) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f8851,f1498]) ).
fof(f8871,plain,
( ! [X0,X1] :
( sK2 = X0
| sK2 = X1
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| rR(sK2,X1,X0)
| ~ rpoint(sK2) )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f8866]) ).
fof(f8876,plain,
( ! [X0,X1] :
( rR(sK2,X1,X0)
| sK2 = X1
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8871,f702]) ).
fof(f8893,plain,
( ! [X0] :
( rR(sK2,X0,X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f8852,f702]) ).
fof(f8895,plain,
( ! [X0] :
( rR(sK2,X0,X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f8893]) ).
fof(f8901,plain,
( ! [X0] :
( vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f8895,f2171]) ).
fof(f8904,plain,
( ! [X0] :
( vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK2 = X0
| ~ rpoint(sK2) )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f8901]) ).
fof(f8910,plain,
( ! [X0] :
( ~ rpoint(X0)
| vangle(sK3,sK2,X0) = vangle(sK1,sK2,X0)
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f8904,f702]) ).
fof(f9582,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_51 ),
inference(resolution,[],[f3022,f2171]) ).
fof(f9587,plain,
( ~ rpoint(sK1)
| ~ spl54_51 ),
inference(forward_subsumption_resolution,[],[f9582,f700]) ).
fof(f9590,plain,
( $false
| ~ spl54_51 ),
inference(forward_subsumption_resolution,[],[f9587,f704]) ).
fof(f9591,plain,
~ spl54_51,
inference(avatar_contradiction_clause,[],[f9590]) ).
fof(f9668,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_276 ),
inference(resolution,[],[f7637,f1504]) ).
fof(f9669,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| spl54_276 ),
inference(forward_subsumption_resolution,[],[f9668,f1033]) ).
fof(f9670,plain,
( ~ rpoint(sK3)
| spl54_276 ),
inference(forward_subsumption_resolution,[],[f9669,f702]) ).
fof(f9671,plain,
( $false
| spl54_276 ),
inference(forward_subsumption_resolution,[],[f9670,f700]) ).
fof(f9672,plain,
spl54_276,
inference(avatar_contradiction_clause,[],[f9671]) ).
fof(f9679,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rline(X3)
| vangle(X0,sK1,X1) = vangle(sK3,sK1,X2)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK3,sK2))
| rR(sK1,X1,X2)
| sK1 = X0
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_277 ),
inference(resolution,[],[f7640,f1502]) ).
fof(f9683,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rline(X3)
| vangle(X0,sK1,X1) = vangle(sK3,sK1,X2)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK3,sK2))
| rR(sK1,X1,X2)
| sK1 = X0
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2) )
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f9679]) ).
fof(f9685,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| vangle(X0,sK1,X1) = vangle(sK3,sK1,X2)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK3,sK2))
| rR(sK1,X1,X2)
| sK1 = X0
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2) )
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9683,f700]) ).
fof(f9687,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| vangle(X0,sK1,X1) = vangle(sK3,sK1,X2)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK3,sK2))
| rR(sK1,X1,X2)
| sK1 = X0
| sK2 = sK3
| ~ rpoint(sK2) )
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9685,f1032]) ).
fof(f9689,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| vangle(X0,sK1,X1) = vangle(sK3,sK1,X2)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK3,sK2))
| rR(sK1,X1,X2)
| sK1 = X0
| ~ rpoint(sK2) )
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9687,f1033]) ).
fof(f9691,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X0,sK8(sK3,sK2))
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rline(X3)
| vangle(X0,sK1,X1) = vangle(sK3,sK1,X2)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| sK1 = X1
| sK1 = X2
| rR(sK1,X0,sK3)
| ~ rpoint(X0)
| rR(sK1,X1,X2)
| sK1 = X0 )
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9689,f702]) ).
fof(f9766,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,sK3,sK3)
| ~ rpoint(sK3)
| rR(sK1,X0,X1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_277 ),
inference(resolution,[],[f9691,f1502]) ).
fof(f9767,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,sK2,sK3)
| ~ rpoint(sK2)
| rR(sK1,X0,X1)
| sK1 = sK2
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_277 ),
inference(resolution,[],[f9691,f1500]) ).
fof(f9769,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,sK2,sK3)
| ~ rpoint(sK2)
| rR(sK1,X0,X1)
| sK1 = sK2
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f9767]) ).
fof(f9770,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,sK3,sK3)
| ~ rpoint(sK3)
| rR(sK1,X0,X1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2) )
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f9766]) ).
fof(f9771,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| ~ rpoint(sK2)
| rR(sK1,X0,X1)
| sK1 = sK2
| sK2 = sK3
| ~ rpoint(sK3) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9769,f7175]) ).
fof(f9772,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| ~ rpoint(sK3)
| rR(sK1,X0,X1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2) )
| spl54_51
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9770,f3023]) ).
fof(f9773,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1)
| sK1 = sK2
| sK2 = sK3
| ~ rpoint(sK3) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9771,f702]) ).
fof(f9774,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK2) )
| spl54_51
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9772,f700]) ).
fof(f9775,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1)
| sK2 = sK3
| ~ rpoint(sK3) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9773,f1031]) ).
fof(f9776,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1)
| sK2 = sK3
| ~ rpoint(sK2) )
| spl54_51
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9774,f1032]) ).
fof(f9777,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1)
| ~ rpoint(sK3) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9775,f1033]) ).
fof(f9778,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1)
| ~ rpoint(sK2) )
| spl54_51
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9776,f1033]) ).
fof(f9779,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK2,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ rpoint(X0)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9777,f700]) ).
fof(f9780,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ ron(X0,X2)
| ~ rpoint(X0)
| sK1 = X0
| sK1 = X1
| rR(sK1,X0,X1) )
| spl54_51
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9778,f702]) ).
fof(f9781,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rline(sK8(X0,X1))
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X2)
| ~ ron(X2,sK8(X0,X1))
| ~ rpoint(X2)
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_51
| ~ spl54_277 ),
inference(resolution,[],[f9780,f1502]) ).
fof(f9794,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rline(sK8(X0,X1))
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X2)
| ~ ron(X2,sK8(X0,X1))
| ~ rpoint(X2)
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,X0)
| X0 = X1
| ~ rpoint(X1) )
| spl54_51
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f9781]) ).
fof(f9796,plain,
( ! [X2,X0,X1] :
( ~ ron(X2,sK8(X0,X1))
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,X0)
| X0 = X1
| ~ rpoint(X1) )
| spl54_51
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9794,f1504]) ).
fof(f9797,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rline(sK8(X0,X1))
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X2)
| ~ ron(X2,sK8(X0,X1))
| ~ rpoint(X2)
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,X0)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_265
| ~ spl54_277 ),
inference(resolution,[],[f9779,f1502]) ).
fof(f9810,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rline(sK8(X0,X1))
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X2)
| ~ ron(X2,sK8(X0,X1))
| ~ rpoint(X2)
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,X0)
| X0 = X1
| ~ rpoint(X1) )
| spl54_265
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f9797]) ).
fof(f9812,plain,
( ! [X2,X0,X1] :
( ~ ron(X2,sK8(X0,X1))
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X2)
| ~ rpoint(X0)
| ~ rpoint(X2)
| sK1 = X2
| sK1 = X0
| rR(sK1,X2,X0)
| X0 = X1
| ~ rpoint(X1) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9810,f1504]) ).
fof(f9814,plain,
( ! [X0,X1] :
( vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK1 = X1
| sK1 = X0
| rR(sK1,X1,X0)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_51
| ~ spl54_277 ),
inference(resolution,[],[f9796,f1500]) ).
fof(f9816,plain,
( ! [X0,X1] :
( rR(sK1,X1,X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK1 = X1
| sK1 = X0
| vangle(sK3,sK1,X0) = vangle(sK3,sK1,X1)
| X0 = X1 )
| spl54_51
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f9814]) ).
fof(f9818,plain,
( ~ rpoint(vd1280)
| ~ rpoint(sK3)
| sK1 = sK3
| vd1280 = sK1
| vangle(sK3,sK1,vd1280) = vangle(sK3,sK1,sK3)
| vd1280 = sK3
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(resolution,[],[f9816,f6571]) ).
fof(f9842,plain,
( ~ rpoint(sK3)
| sK1 = sK3
| vd1280 = sK1
| vangle(sK3,sK1,vd1280) = vangle(sK3,sK1,sK3)
| vd1280 = sK3
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9818,f699]) ).
fof(f9846,plain,
( sK1 = sK3
| vd1280 = sK1
| vangle(sK3,sK1,vd1280) = vangle(sK3,sK1,sK3)
| vd1280 = sK3
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9842,f700]) ).
fof(f9850,plain,
( vd1280 = sK1
| vangle(sK3,sK1,vd1280) = vangle(sK3,sK1,sK3)
| vd1280 = sK3
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9846,f1032]) ).
fof(f9854,plain,
( vangle(sK3,sK1,vd1280) = vangle(sK3,sK1,sK3)
| vd1280 = sK3
| spl54_18
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9850,f2293]) ).
fof(f9858,plain,
( vangle(sK3,sK1,vd1280) = vangle(sK3,sK1,sK3)
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f9854,f2616]) ).
fof(f9862,plain,
( vd684 = vangle(sK3,sK1,vd1280)
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| ~ spl54_277 ),
inference(forward_demodulation,[],[f9858,f2529]) ).
fof(f10398,plain,
( ! [X0,X1] :
( vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(X0)
| sK1 = X0
| sK1 = X0
| rR(sK1,X0,X0)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_265
| ~ spl54_277 ),
inference(resolution,[],[f9812,f1502]) ).
fof(f10402,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| sK1 = X0
| rR(sK1,X0,X0)
| X0 = X1
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0) )
| spl54_265
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f10398]) ).
fof(f10405,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| rR(sK1,X0,X0)
| sK1 = X0
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0) )
| spl54_265
| ~ spl54_277 ),
inference(resolution,[],[f10402,f704]) ).
fof(f10408,plain,
( ! [X0] :
( rR(sK1,X0,X0)
| sK1 = X0
| ~ rpoint(X0)
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0) )
| spl54_265
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f10405]) ).
fof(f10413,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(X0)
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| spl54_265
| ~ spl54_277 ),
inference(resolution,[],[f10408,f2171]) ).
fof(f10416,plain,
( ! [X0] :
( sK1 = X0
| ~ rpoint(X0)
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0)
| ~ rpoint(sK1) )
| spl54_265
| ~ spl54_277 ),
inference(duplicate_literal_removal,[],[f10413]) ).
fof(f10421,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(sK3,sK1,X0) = vangle(sK2,sK1,X0) )
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f10416,f704]) ).
fof(f10425,plain,
( vd1280 = sK1
| vangle(sK3,sK1,vd1280) = vangle(sK2,sK1,vd1280)
| spl54_265
| ~ spl54_277 ),
inference(resolution,[],[f10421,f699]) ).
fof(f10433,plain,
( vangle(sK3,sK1,vd1280) = vangle(sK2,sK1,vd1280)
| spl54_18
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f10425,f2293]) ).
fof(f10857,plain,
( ron(sK1,sK8(sK2,sK3))
| sK2 = sK3
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_201 ),
inference(resolution,[],[f8521,f1502]) ).
fof(f10858,plain,
( ron(sK1,sK8(sK2,sK3))
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(duplicate_literal_removal,[],[f10857]) ).
fof(f10859,plain,
( ron(sK1,sK8(sK2,sK3))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f10858,f1033]) ).
fof(f10860,plain,
( ron(sK1,sK8(sK2,sK3))
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f10859,f702]) ).
fof(f10861,plain,
( ron(sK1,sK8(sK2,sK3))
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f10860,f700]) ).
fof(f10885,plain,
( ! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,sK8(sK2,sK3))
| ~ ron(sK1,X1)
| sK8(sK2,sK3) = X1
| ~ rline(X1)
| ~ rline(sK8(sK2,sK3))
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(resolution,[],[f10861,f1606]) ).
fof(f10895,plain,
( ! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,sK8(sK2,sK3))
| ~ ron(sK1,X1)
| sK8(sK2,sK3) = X1
| ~ rline(X1)
| ~ rline(sK8(sK2,sK3))
| sK1 = X0
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f10885,f704]) ).
fof(f10907,definition,
( spl54_335
<=> rline(sK8(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_335])],[avatar_definition]) ).
fof(f10909,plain,
( ~ rline(sK8(sK2,sK3))
| spl54_335 ),
inference(avatar_component_clause,[],[f10907]) ).
fof(f10915,definition,
( spl54_337
<=> ! [X0,X1] :
( ~ ron(X0,X1)
| ~ rpoint(X0)
| sK1 = X0
| ~ rline(X1)
| sK8(sK2,sK3) = X1
| ~ ron(sK1,X1)
| ~ ron(X0,sK8(sK2,sK3)) ) ),
introduced(definition,[new_symbols(definition,[spl54_337])],[avatar_definition]) ).
fof(f10916,plain,
( ! [X0,X1] :
( ~ ron(X0,sK8(sK2,sK3))
| ~ rpoint(X0)
| sK1 = X0
| ~ rline(X1)
| sK8(sK2,sK3) = X1
| ~ ron(sK1,X1)
| ~ ron(X0,X1) )
| ~ spl54_337 ),
inference(avatar_component_clause,[],[f10915]) ).
fof(f10917,plain,
( ~ spl54_335
| spl54_337
| ~ spl54_201 ),
inference(avatar_split_clause,[],[f10895,f5971,f10915,f10907]) ).
fof(f11164,plain,
( ! [X0] :
( rR(sK1,sK2,X0)
| rR(sK2,X0,sK1)
| ~ ron(X0,sK8(sK3,sK2))
| rR(X0,sK2,sK1)
| sK1 = X0
| sK1 = sK2
| sK2 = X0
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(resolution,[],[f5559,f7606]) ).
fof(f11169,plain,
( ! [X0] :
( rR(sK1,sK2,X0)
| rR(sK2,X0,sK1)
| ~ ron(X0,sK8(sK3,sK2))
| rR(X0,sK2,sK1)
| sK1 = X0
| sK2 = X0
| ~ rpoint(sK1)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f11164,f1031]) ).
fof(f11171,plain,
( ! [X0] :
( rR(sK1,sK2,X0)
| rR(sK2,X0,sK1)
| ~ ron(X0,sK8(sK3,sK2))
| rR(X0,sK2,sK1)
| sK1 = X0
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f11169,f704]) ).
fof(f11173,plain,
( ! [X0] :
( rR(sK1,sK2,X0)
| rR(sK2,X0,sK1)
| ~ ron(X0,sK8(sK3,sK2))
| rR(X0,sK2,sK1)
| sK1 = X0
| sK2 = X0
| ~ rpoint(X0)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f11171,f702]) ).
fof(f11175,plain,
( ! [X0] :
( rR(sK1,sK2,X0)
| rR(sK2,X0,sK1)
| ~ ron(X0,sK8(sK3,sK2))
| rR(X0,sK2,sK1)
| sK1 = X0
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f11173,f1033]) ).
fof(f11177,plain,
( ! [X0] :
( ~ ron(X0,sK8(sK3,sK2))
| rR(sK2,X0,sK1)
| rR(sK1,sK2,X0)
| rR(X0,sK2,sK1)
| sK1 = X0
| sK2 = X0
| ~ rpoint(X0) )
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f11175,f700]) ).
fof(f11190,plain,
( rR(sK2,sK3,sK1)
| rR(sK1,sK2,sK3)
| rR(sK3,sK2,sK1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK3)
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_201 ),
inference(resolution,[],[f11177,f1502]) ).
fof(f11195,plain,
( rR(sK2,sK3,sK1)
| rR(sK1,sK2,sK3)
| rR(sK3,sK2,sK1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_201 ),
inference(duplicate_literal_removal,[],[f11190]) ).
fof(f11288,plain,
( sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_335 ),
inference(resolution,[],[f10909,f1504]) ).
fof(f11289,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_335 ),
inference(forward_subsumption_resolution,[],[f11288,f1033]) ).
fof(f11290,plain,
( ~ rpoint(sK2)
| spl54_335 ),
inference(forward_subsumption_resolution,[],[f11289,f700]) ).
fof(f11291,plain,
( $false
| spl54_335 ),
inference(forward_subsumption_resolution,[],[f11290,f702]) ).
fof(f11292,plain,
spl54_335,
inference(avatar_contradiction_clause,[],[f11291]) ).
fof(f11351,plain,
( ! [X0] :
( ~ rpoint(sK2)
| sK1 = sK2
| ~ rline(X0)
| sK8(sK2,sK3) = X0
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2) )
| ~ spl54_337 ),
inference(resolution,[],[f10916,f1502]) ).
fof(f11356,plain,
( ! [X0] :
( ~ rpoint(sK2)
| sK1 = sK2
| ~ rline(X0)
| sK8(sK2,sK3) = X0
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_337 ),
inference(duplicate_literal_removal,[],[f11351]) ).
fof(f11358,plain,
( ! [X0] :
( sK1 = sK2
| ~ rline(X0)
| sK8(sK2,sK3) = X0
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f11356,f702]) ).
fof(f11360,plain,
( ! [X0] :
( ~ rline(X0)
| sK8(sK2,sK3) = X0
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rpoint(sK3) )
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f11358,f1031]) ).
fof(f11362,plain,
( ! [X0] :
( ~ rline(X0)
| sK8(sK2,sK3) = X0
| ~ ron(sK1,X0)
| ~ ron(sK2,X0)
| ~ rpoint(sK3) )
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f11360,f1033]) ).
fof(f11364,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| sK8(sK2,sK3) = X0
| ~ ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f11362,f700]) ).
fof(f11380,plain,
( ! [X2,X0,X1] :
( rR(sK2,sK1,sK1)
| sK2 = X0
| sK2 = X1
| sK1 = sK2
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK2,X1,X0)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK1) )
| ~ spl54_201 ),
inference(resolution,[],[f8497,f7606]) ).
fof(f11646,plain,
( vd684 = vangle(sK2,sK1,vd1280)
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_demodulation,[],[f9862,f10433]) ).
fof(f11743,plain,
( ! [X0] :
( vd684 != vd684
| ron(vd1280,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| vd1280 = sK1
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(superposition,[],[f1555,f11646]) ).
fof(f11744,plain,
( ! [X0] :
( ron(vd1280,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| vd1280 = sK1
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(trivial_inequality_removal,[],[f11743]) ).
fof(f11746,plain,
( ! [X0] :
( ron(vd1280,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| sK1 = sK2
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f11744,f2293]) ).
fof(f11764,plain,
( ! [X0] :
( ron(vd1280,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f11746,f1031]) ).
fof(f11782,plain,
( ! [X0] :
( ron(vd1280,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK1) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f11764,f699]) ).
fof(f11800,plain,
( ! [X0] :
( ron(vd1280,X0)
| ~ ron(sK2,X0)
| ~ ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f11782,f702]) ).
fof(f11818,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ron(vd1280,X0)
| ~ ron(sK1,X0)
| ~ rline(X0) )
| spl54_18
| spl54_30
| spl54_51
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f11800,f704]) ).
fof(f12710,plain,
( ron(sK2,sK8(sK3,sK2))
| sK2 = sK3
| ~ rpoint(sK2)
| ~ spl54_194
| ~ spl54_201 ),
inference(resolution,[],[f7224,f7606]) ).
fof(f12711,plain,
( ron(sK2,sK8(sK3,sK1))
| sK1 = sK3
| ~ rpoint(sK1)
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_194 ),
inference(resolution,[],[f7224,f1500]) ).
fof(f12712,plain,
( ron(sK2,sK8(sK3,sK1))
| sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_194 ),
inference(duplicate_literal_removal,[],[f12711]) ).
fof(f12713,plain,
( ron(sK2,sK8(sK3,sK1))
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12712,f1032]) ).
fof(f12714,plain,
( ron(sK2,sK8(sK3,sK2))
| ~ rpoint(sK2)
| ~ spl54_194
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f12710,f1033]) ).
fof(f12715,plain,
( ron(sK2,sK8(sK3,sK1))
| ~ rpoint(sK3)
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12713,f704]) ).
fof(f12716,plain,
( ron(sK2,sK8(sK3,sK2))
| ~ spl54_194
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f12714,f702]) ).
fof(f12717,plain,
( ron(sK2,sK8(sK3,sK1))
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12715,f700]) ).
fof(f12718,plain,
( ron(sK1,sK8(sK3,sK1))
| sK1 = sK3
| ~ rpoint(sK1)
| ~ spl54_194
| ~ spl54_201 ),
inference(resolution,[],[f12717,f8522]) ).
fof(f12723,plain,
( ~ rline(sK8(sK3,sK1))
| ~ ron(sK1,sK8(sK3,sK1))
| ron(sK3,sK8(sK3,sK1))
| ~ spl54_194
| ~ spl54_196 ),
inference(resolution,[],[f12717,f5930]) ).
fof(f12724,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| rR(sK3,X0,X1)
| rR(sK3,X2,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK1 = sK3
| ~ ron(X2,sK8(sK3,sK1))
| vangle(X2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_194 ),
inference(resolution,[],[f12717,f2489]) ).
fof(f12731,plain,
( ! [X0] :
( rR(sK2,sK3,X0)
| rR(sK3,X0,sK2)
| ~ ron(X0,sK8(sK3,sK1))
| rR(X0,sK3,sK2)
| sK2 = X0
| sK2 = sK3
| sK3 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK1 = sK3
| ~ rpoint(sK1) )
| ~ spl54_194 ),
inference(resolution,[],[f12717,f5560]) ).
fof(f12781,plain,
( ! [X0] :
( rR(sK2,sK3,X0)
| rR(sK3,X0,sK2)
| ~ ron(X0,sK8(sK3,sK1))
| rR(X0,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK1 = sK3
| ~ rpoint(sK1) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12731,f1033]) ).
fof(f12787,plain,
( ! [X2,X3,X0,X1] :
( ~ rpoint(sK3)
| rR(sK3,X0,X1)
| rR(sK3,X2,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK1 = sK3
| ~ ron(X2,sK8(sK3,sK1))
| vangle(X2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12724,f704]) ).
fof(f12789,definition,
( spl54_392
<=> ron(sK3,sK8(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_392])],[avatar_definition]) ).
fof(f12791,plain,
( ron(sK3,sK8(sK3,sK1))
| ~ spl54_392 ),
inference(avatar_component_clause,[],[f12789]) ).
fof(f12793,definition,
( spl54_393
<=> ron(sK1,sK8(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_393])],[avatar_definition]) ).
fof(f12797,definition,
( spl54_394
<=> rline(sK8(sK3,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_394])],[avatar_definition]) ).
fof(f12798,plain,
( rline(sK8(sK3,sK1))
| ~ spl54_394 ),
inference(avatar_component_clause,[],[f12797]) ).
fof(f12799,plain,
( ~ rline(sK8(sK3,sK1))
| spl54_394 ),
inference(avatar_component_clause,[],[f12797]) ).
fof(f12800,plain,
( spl54_392
| ~ spl54_393
| ~ spl54_394
| ~ spl54_194
| ~ spl54_196 ),
inference(avatar_split_clause,[],[f12723,f5929,f5920,f12797,f12793,f12789]) ).
fof(f12821,plain,
( ron(sK1,sK8(sK3,sK1))
| ~ rpoint(sK1)
| ~ spl54_194
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f12718,f1032]) ).
fof(f12849,plain,
( ! [X0] :
( rR(sK2,sK3,X0)
| rR(sK3,X0,sK2)
| ~ ron(X0,sK8(sK3,sK1))
| rR(X0,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3)
| sK1 = sK3
| ~ rpoint(sK1) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12781,f702]) ).
fof(f12855,plain,
( ! [X2,X3,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,X2,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK1 = sK3
| ~ ron(X2,sK8(sK3,sK1))
| vangle(X2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12787,f700]) ).
fof(f12856,plain,
( ron(sK1,sK8(sK3,sK1))
| ~ spl54_194
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f12821,f704]) ).
fof(f12867,plain,
( ! [X0] :
( rR(sK2,sK3,X0)
| rR(sK3,X0,sK2)
| ~ ron(X0,sK8(sK3,sK1))
| rR(X0,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| sK1 = sK3
| ~ rpoint(sK1) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12849,f700]) ).
fof(f12873,plain,
( ! [X2,X3,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,X2,sK2)
| sK3 = X1
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| sK1 = sK3
| ~ ron(X2,sK8(sK3,sK1))
| vangle(X2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12855,f1033]) ).
fof(f12874,plain,
( spl54_393
| ~ spl54_194
| ~ spl54_201 ),
inference(avatar_split_clause,[],[f12856,f5971,f5920,f12793]) ).
fof(f12887,plain,
( ! [X0] :
( rR(sK2,sK3,X0)
| rR(sK3,X0,sK2)
| ~ ron(X0,sK8(sK3,sK1))
| rR(X0,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12867,f1032]) ).
fof(f12893,plain,
( ! [X2,X3,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,X2,sK2)
| sK3 = X1
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ ron(X2,sK8(sK3,sK1))
| vangle(X2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK2)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12873,f1032]) ).
fof(f12898,plain,
( ! [X0] :
( ~ ron(X0,sK8(sK3,sK1))
| rR(sK3,X0,sK2)
| rR(sK2,sK3,X0)
| rR(X0,sK3,sK2)
| sK2 = X0
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12887,f704]) ).
fof(f12902,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X2,sK8(sK3,sK1))
| rR(sK3,X2,sK2)
| sK3 = X1
| sK3 = X0
| sK3 = X2
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| rR(sK3,X0,X1)
| vangle(X2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f12893,f702]) ).
fof(f12981,plain,
( ron(vd1280,sK8(sK3,sK2))
| ~ ron(sK1,sK8(sK3,sK2))
| ~ rline(sK8(sK3,sK2))
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(resolution,[],[f12716,f11818]) ).
fof(f12982,plain,
( sK8(sK3,sK2) = sK8(sK2,sK3)
| ~ ron(sK1,sK8(sK3,sK2))
| ~ rline(sK8(sK3,sK2))
| ~ spl54_194
| ~ spl54_201
| ~ spl54_337 ),
inference(resolution,[],[f12716,f11364]) ).
fof(f13085,plain,
( sK8(sK3,sK2) = sK8(sK2,sK3)
| ~ rline(sK8(sK3,sK2))
| ~ spl54_194
| ~ spl54_201
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f12982,f7606]) ).
fof(f13086,plain,
( ron(vd1280,sK8(sK3,sK2))
| ~ rline(sK8(sK3,sK2))
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f12981,f7606]) ).
fof(f13100,plain,
( sK8(sK3,sK2) = sK8(sK2,sK3)
| ~ spl54_194
| ~ spl54_201
| ~ spl54_276
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f13085,f7636]) ).
fof(f13101,plain,
( ron(vd1280,sK8(sK3,sK2))
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277 ),
inference(forward_subsumption_resolution,[],[f13086,f7636]) ).
fof(f13108,plain,
( ron(vd1280,sK8(sK2,sK3))
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(forward_demodulation,[],[f13101,f13100]) ).
fof(f13294,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK2)
| rR(sK3,X0,X1)
| rR(sK3,vd1280,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X0
| vd1280 = sK3
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK3)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1280) )
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(resolution,[],[f13108,f6038]) ).
fof(f13350,plain,
( ! [X2,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,vd1280,sK2)
| sK3 = X1
| sK2 = sK3
| sK3 = X0
| vd1280 = sK3
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK3)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1280) )
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f13294,f702]) ).
fof(f13390,plain,
( ! [X2,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,vd1280,sK2)
| sK3 = X1
| sK3 = X0
| vd1280 = sK3
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK3)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1280) )
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f13350,f1033]) ).
fof(f13423,plain,
( ! [X2,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,vd1280,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(sK3)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1280) )
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f13390,f2616]) ).
fof(f13475,plain,
( ! [X2,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,vd1280,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1280) )
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f13423,f700]) ).
fof(f13504,plain,
( ! [X2,X0,X1] :
( rR(sK3,X0,X1)
| rR(sK3,vd1280,sK2)
| sK3 = X1
| sK3 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(forward_subsumption_resolution,[],[f13475,f699]) ).
fof(f13525,definition,
( spl54_416
<=> rR(sK3,vd1280,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_416])],[avatar_definition]) ).
fof(f13526,plain,
( ~ rR(sK3,vd1280,sK2)
| spl54_416 ),
inference(avatar_component_clause,[],[f13525]) ).
fof(f13527,plain,
( rR(sK3,vd1280,sK2)
| ~ spl54_416 ),
inference(avatar_component_clause,[],[f13525]) ).
fof(f13529,definition,
( spl54_417
<=> ! [X2,X0,X1] :
( rR(sK3,X0,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK3 = X0
| sK3 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl54_417])],[avatar_definition]) ).
fof(f13530,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ ron(X0,X2)
| rR(sK3,X0,X1)
| sK3 = X0
| sK3 = X1 )
| ~ spl54_417 ),
inference(avatar_component_clause,[],[f13529]) ).
fof(f13531,plain,
( spl54_416
| spl54_417
| spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337 ),
inference(avatar_split_clause,[],[f13504,f10915,f7639,f7635,f7173,f6569,f5971,f5920,f3021,f2615,f2292,f13529,f13525]) ).
fof(f13587,plain,
( rR(sK3,sK2,vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1280)
| ~ spl54_416 ),
inference(resolution,[],[f13527,f1498]) ).
fof(f13588,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vd1280)
| ~ spl54_416 ),
inference(forward_subsumption_resolution,[],[f13587,f7544]) ).
fof(f13592,plain,
( ~ rpoint(sK3)
| ~ rpoint(vd1280)
| ~ spl54_416 ),
inference(forward_subsumption_resolution,[],[f13588,f702]) ).
fof(f13596,plain,
( ~ rpoint(vd1280)
| ~ spl54_416 ),
inference(forward_subsumption_resolution,[],[f13592,f700]) ).
fof(f13600,plain,
( $false
| ~ spl54_416 ),
inference(forward_subsumption_resolution,[],[f13596,f699]) ).
fof(f13601,plain,
~ spl54_416,
inference(avatar_contradiction_clause,[],[f13600]) ).
fof(f15422,plain,
( ron(sK3,sK8(sK2,sK1))
| sK1 = sK2
| ~ rpoint(sK1)
| sK1 = sK2
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_196 ),
inference(resolution,[],[f7244,f1500]) ).
fof(f15423,plain,
( ron(sK3,sK8(sK2,sK1))
| sK1 = sK2
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_196 ),
inference(duplicate_literal_removal,[],[f15422]) ).
fof(f15424,plain,
( ron(sK3,sK8(sK2,sK1))
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15423,f1031]) ).
fof(f15425,plain,
( ron(sK3,sK8(sK2,sK1))
| ~ rpoint(sK2)
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15424,f704]) ).
fof(f15426,plain,
( ron(sK3,sK8(sK2,sK1))
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15425,f702]) ).
fof(f15439,plain,
( ! [X0] :
( rR(sK3,sK1,X0)
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK2,sK1))
| rR(X0,sK1,sK3)
| sK3 = X0
| sK1 = sK3
| sK1 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| sK1 = sK2
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(resolution,[],[f15426,f5559]) ).
fof(f15495,plain,
( ! [X0] :
( rR(sK3,sK1,X0)
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK2,sK1))
| rR(X0,sK1,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| sK1 = sK2
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15439,f1032]) ).
fof(f15521,plain,
( ! [X0] :
( rR(sK3,sK1,X0)
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK2,sK1))
| rR(X0,sK1,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1)
| sK1 = sK2
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15495,f700]) ).
fof(f15558,plain,
( ! [X0] :
( rR(sK3,sK1,X0)
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK2,sK1))
| rR(X0,sK1,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0)
| sK1 = sK2
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15521,f704]) ).
fof(f15575,plain,
( ! [X0] :
( rR(sK3,sK1,X0)
| rR(sK1,X0,sK3)
| ~ ron(X0,sK8(sK2,sK1))
| rR(X0,sK1,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15558,f1031]) ).
fof(f15587,plain,
( ! [X0] :
( ~ ron(X0,sK8(sK2,sK1))
| rR(sK1,X0,sK3)
| rR(sK3,sK1,X0)
| rR(X0,sK1,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0) )
| ~ spl54_196 ),
inference(forward_subsumption_resolution,[],[f15575,f702]) ).
fof(f16257,plain,
( sK1 = sK3
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_394 ),
inference(resolution,[],[f12799,f1504]) ).
fof(f16258,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3)
| spl54_394 ),
inference(forward_subsumption_resolution,[],[f16257,f1032]) ).
fof(f16259,plain,
( ~ rpoint(sK3)
| spl54_394 ),
inference(forward_subsumption_resolution,[],[f16258,f704]) ).
fof(f16260,plain,
( $false
| spl54_394 ),
inference(forward_subsumption_resolution,[],[f16259,f700]) ).
fof(f16261,plain,
spl54_394,
inference(avatar_contradiction_clause,[],[f16260]) ).
fof(f18859,plain,
( rR(sK1,sK2,sK3)
| rR(sK3,sK1,sK2)
| rR(sK2,sK1,sK3)
| sK2 = sK3
| sK1 = sK2
| ~ rpoint(sK2)
| sK1 = sK2
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_196 ),
inference(resolution,[],[f15587,f1502]) ).
fof(f18870,plain,
( rR(sK1,sK2,sK3)
| rR(sK3,sK1,sK2)
| rR(sK2,sK1,sK3)
| sK2 = sK3
| sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_196 ),
inference(duplicate_literal_removal,[],[f18859]) ).
fof(f20359,plain,
( ! [X2,X0,X1] :
( rR(sK3,sK2,sK2)
| sK3 = X0
| sK3 = X1
| sK2 = sK3
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK3,X1,X0)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK2) )
| ~ spl54_194 ),
inference(resolution,[],[f12902,f12717]) ).
fof(f20363,plain,
( ! [X2,X0,X1] :
( rR(sK3,sK2,sK2)
| sK3 = X0
| sK3 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK3,X1,X0)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK2) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f20359,f1033]) ).
fof(f20364,plain,
( ! [X2,X0,X1] :
( rR(sK3,sK2,sK2)
| sK3 = X0
| sK3 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK3,X1,X0)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_194 ),
inference(forward_subsumption_resolution,[],[f20363,f702]) ).
fof(f20366,definition,
( spl54_504
<=> ! [X2,X0,X1] :
( sK3 = X0
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rline(X2)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| rR(sK3,X1,X0)
| ~ ron(X0,X2)
| sK3 = X1
| ~ ron(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_504])],[avatar_definition]) ).
fof(f20367,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rline(X2)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| rR(sK3,X1,X0)
| ~ ron(X0,X2)
| sK3 = X1
| sK3 = X0 )
| ~ spl54_504 ),
inference(avatar_component_clause,[],[f20366]) ).
fof(f20369,definition,
( spl54_505
<=> rR(sK3,sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_505])],[avatar_definition]) ).
fof(f20371,plain,
( rR(sK3,sK2,sK2)
| ~ spl54_505 ),
inference(avatar_component_clause,[],[f20369]) ).
fof(f20372,plain,
( spl54_504
| spl54_505
| ~ spl54_194 ),
inference(avatar_split_clause,[],[f20364,f5920,f20369,f20366]) ).
fof(f20378,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_505 ),
inference(resolution,[],[f20371,f2171]) ).
fof(f20384,plain,
( ~ rpoint(sK3)
| ~ spl54_505 ),
inference(forward_subsumption_resolution,[],[f20378,f702]) ).
fof(f20388,plain,
( $false
| ~ spl54_505 ),
inference(forward_subsumption_resolution,[],[f20384,f700]) ).
fof(f20389,plain,
~ spl54_505,
inference(avatar_contradiction_clause,[],[f20388]) ).
fof(f20397,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK8(X0,X2))
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| rR(sK3,X0,X1)
| ~ ron(X1,sK8(X0,X2))
| sK3 = X0
| sK3 = X1
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) )
| ~ spl54_504 ),
inference(resolution,[],[f20367,f1502]) ).
fof(f20435,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK8(X0,X2))
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| rR(sK3,X0,X1)
| ~ ron(X1,sK8(X0,X2))
| sK3 = X0
| sK3 = X1
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_504 ),
inference(duplicate_literal_removal,[],[f20397]) ).
fof(f20456,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,sK8(X0,X2))
| ~ rpoint(X1)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| rR(sK3,X0,X1)
| ~ rpoint(X0)
| sK3 = X0
| sK3 = X1
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_504 ),
inference(forward_subsumption_resolution,[],[f20435,f1504]) ).
fof(f20535,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| rR(sK3,X1,X0)
| ~ rpoint(X1)
| sK3 = X1
| sK3 = X0
| X0 = X1
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_504 ),
inference(resolution,[],[f20456,f1500]) ).
fof(f20588,plain,
( ! [X0,X1] :
( rR(sK3,X1,X0)
| vangle(sK2,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| sK3 = X1
| sK3 = X0
| X0 = X1 )
| ~ spl54_504 ),
inference(duplicate_literal_removal,[],[f20535]) ).
fof(f20850,plain,
( vangle(sK2,sK3,vd1280) = vangle(sK2,sK3,sK2)
| ~ rpoint(sK2)
| ~ rpoint(vd1280)
| vd1280 = sK3
| sK2 = sK3
| vd1280 = sK2
| spl54_416
| ~ spl54_504 ),
inference(resolution,[],[f20588,f13526]) ).
fof(f20872,plain,
( vangle(sK2,sK3,vd1280) = vangle(sK2,sK3,sK2)
| ~ rpoint(vd1280)
| vd1280 = sK3
| sK2 = sK3
| vd1280 = sK2
| spl54_416
| ~ spl54_504 ),
inference(forward_subsumption_resolution,[],[f20850,f702]) ).
fof(f20875,plain,
( vangle(sK2,sK3,vd1280) = vangle(sK2,sK3,sK2)
| vd1280 = sK3
| sK2 = sK3
| vd1280 = sK2
| spl54_416
| ~ spl54_504 ),
inference(forward_subsumption_resolution,[],[f20872,f699]) ).
fof(f20878,plain,
( vangle(sK2,sK3,vd1280) = vangle(sK2,sK3,sK2)
| sK2 = sK3
| vd1280 = sK2
| spl54_30
| spl54_416
| ~ spl54_504 ),
inference(forward_subsumption_resolution,[],[f20875,f2616]) ).
fof(f20881,plain,
( vangle(sK2,sK3,vd1280) = vangle(sK2,sK3,sK2)
| vd1280 = sK2
| spl54_30
| spl54_416
| ~ spl54_504 ),
inference(forward_subsumption_resolution,[],[f20878,f1033]) ).
fof(f20884,plain,
( vangle(sK2,sK3,vd1280) = vangle(sK2,sK3,sK2)
| spl54_30
| spl54_34
| spl54_416
| ~ spl54_504 ),
inference(forward_subsumption_resolution,[],[f20881,f2634]) ).
fof(f20887,plain,
( vd684 = vangle(sK2,sK3,vd1280)
| spl54_30
| spl54_34
| spl54_416
| ~ spl54_504 ),
inference(forward_demodulation,[],[f20884,f2595]) ).
fof(f25825,plain,
! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X0,sK3,sK2)
| sK1 = sK2
| sK1 = sK3
| ~ rpoint(sK1) ),
inference(equality_resolution,[],[f2559]) ).
fof(f25827,plain,
! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X0,sK3,sK2)
| sK1 = sK3
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f25825,f1031]) ).
fof(f25830,plain,
! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X0,sK3,sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f25827,f1032]) ).
fof(f25832,plain,
! [X0,X1] :
( ~ rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X0,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f25830,f704]) ).
fof(f27381,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK8(X1,X2))
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ ron(X0,sK8(X1,X2))
| rR(sK3,X0,X1)
| sK3 = X0
| sK3 = X1
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) )
| ~ spl54_417 ),
inference(resolution,[],[f13530,f1502]) ).
fof(f27429,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK8(X1,X2))
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ ron(X0,sK8(X1,X2))
| rR(sK3,X0,X1)
| sK3 = X0
| sK3 = X1
| X1 = X2
| ~ rpoint(X2) )
| ~ spl54_417 ),
inference(duplicate_literal_removal,[],[f27381]) ).
fof(f27454,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK8(X1,X2))
| ~ rpoint(X1)
| vangle(vd1280,sK3,X0) = vangle(sK2,sK3,X1)
| ~ rpoint(X0)
| rR(sK3,X0,X1)
| sK3 = X0
| sK3 = X1
| X1 = X2
| ~ rpoint(X2) )
| ~ spl54_417 ),
inference(forward_subsumption_resolution,[],[f27429,f1504]) ).
fof(f27553,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0)
| ~ rpoint(X0)
| rR(sK3,X0,X0)
| sK3 = X0
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_417 ),
inference(resolution,[],[f27454,f1502]) ).
fof(f27554,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X1)
| ~ rpoint(X1)
| rR(sK3,X1,X0)
| sK3 = X1
| sK3 = X0
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl54_417 ),
inference(resolution,[],[f27454,f1500]) ).
fof(f27611,plain,
( ! [X0,X1] :
( rR(sK3,X1,X0)
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK3 = X1
| sK3 = X0
| X0 = X1 )
| ~ spl54_417 ),
inference(duplicate_literal_removal,[],[f27554]) ).
fof(f27612,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0)
| rR(sK3,X0,X0)
| sK3 = X0
| X0 = X1
| ~ rpoint(X0) )
| ~ spl54_417 ),
inference(duplicate_literal_removal,[],[f27553]) ).
fof(f27727,plain,
( ! [X0] :
( vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0)
| rR(sK3,X0,X0)
| sK3 = X0
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_417 ),
inference(resolution,[],[f27612,f700]) ).
fof(f27728,plain,
( ! [X0] :
( rR(sK3,X0,X0)
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0)
| sK3 = X0
| ~ rpoint(X0) )
| ~ spl54_417 ),
inference(duplicate_literal_removal,[],[f27727]) ).
fof(f27737,plain,
( ! [X0] :
( vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_417 ),
inference(resolution,[],[f27728,f2171]) ).
fof(f27740,plain,
( ! [X0] :
( vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0)
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| ~ spl54_417 ),
inference(duplicate_literal_removal,[],[f27737]) ).
fof(f27747,plain,
( ! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X0) )
| ~ spl54_417 ),
inference(forward_subsumption_resolution,[],[f27740,f700]) ).
fof(f27785,plain,
( ! [X0,X1] :
( vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK3 = X1
| sK3 = X0
| X0 = X1
| rR(sK3,X0,X1)
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(X1) )
| ~ spl54_417 ),
inference(resolution,[],[f27611,f1498]) ).
fof(f27794,plain,
( ! [X0,X1] :
( vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK3 = X1
| sK3 = X0
| X0 = X1
| rR(sK3,X0,X1)
| ~ rpoint(sK3) )
| ~ spl54_417 ),
inference(duplicate_literal_removal,[],[f27785]) ).
fof(f27802,plain,
( ! [X0,X1] :
( rR(sK3,X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| sK3 = X1
| sK3 = X0
| X0 = X1
| vangle(sK2,sK3,X0) = vangle(vd1280,sK3,X1) )
| ~ spl54_417 ),
inference(forward_subsumption_resolution,[],[f27794,f700]) ).
fof(f29739,plain,
! [X0,X1] :
( rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2)
| sK1 = sK2
| sK1 = sK3
| ~ rpoint(sK1) ),
inference(equality_resolution,[],[f2698]) ).
fof(f29902,plain,
! [X0] :
( ~ rR(sK2,sK3,X0)
| ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1280)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1800,f1029]) ).
fof(f29953,plain,
! [X0] :
( ~ rR(sK2,sK3,X0)
| ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f29902,f699]) ).
fof(f29999,plain,
! [X0] :
( ~ rR(sK2,sK3,X0)
| ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f29953,f702]) ).
fof(f30027,plain,
! [X0] :
( ~ rR(sK2,sK3,X0)
| ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f29999,f700]) ).
fof(f30050,plain,
( ! [X0] :
( ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| sK2 = sK3
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,sK3)
| ~ rpoint(sK3)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f30027,f8876]) ).
fof(f30061,plain,
( ! [X0] :
( ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| sK2 = sK3
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,sK3)
| ~ rpoint(sK3)
| sK3 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f30050]) ).
fof(f30067,plain,
( ! [X0] :
( ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,sK3)
| ~ rpoint(sK3)
| sK3 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f30061,f1033]) ).
fof(f30074,plain,
( ! [X0] :
( ~ rR(sK2,vd1280,X0)
| ~ rpoint(X0)
| vangle(sK1,sK2,X0) = vangle(sK3,sK2,sK3)
| sK3 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f30067,f700]) ).
fof(f30080,plain,
( ! [X0] :
( ~ rR(sK2,vd1280,X0)
| vd684 = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(forward_demodulation,[],[f30074,f2528]) ).
fof(f34484,plain,
( ! [X0] :
( vd684 = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vd1280 = sK2
| sK2 = X0
| vangle(sK1,sK2,vd1280) = vangle(sK3,sK2,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1280)
| vd1280 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(resolution,[],[f30080,f8851]) ).
fof(f34495,plain,
( ! [X0] :
( vd684 = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vd1280 = sK2
| vangle(sK1,sK2,vd1280) = vangle(sK3,sK2,X0)
| ~ rpoint(vd1280)
| vd1280 = X0 )
| ~ spl54_201
| spl54_264 ),
inference(duplicate_literal_removal,[],[f34484]) ).
fof(f34500,plain,
( ! [X0] :
( vd684 = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vangle(sK1,sK2,vd1280) = vangle(sK3,sK2,X0)
| ~ rpoint(vd1280)
| vd1280 = X0 )
| spl54_34
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f34495,f2634]) ).
fof(f34505,plain,
( ! [X0] :
( vd684 = vangle(sK1,sK2,X0)
| ~ rpoint(X0)
| sK3 = X0
| sK2 = X0
| vangle(sK1,sK2,vd1280) = vangle(sK3,sK2,X0)
| vd1280 = X0 )
| spl54_34
| ~ spl54_201
| spl54_264 ),
inference(forward_subsumption_resolution,[],[f34500,f699]) ).
fof(f34510,plain,
( ! [X0] :
( ~ rpoint(X0)
| vd684 = vangle(sK1,sK2,X0)
| sF52 = vangle(sK3,sK2,X0)
| sK3 = X0
| sK2 = X0
| vd1280 = X0 )
| spl54_34
| ~ spl54_201
| spl54_264 ),
inference(forward_demodulation,[],[f34505,f2165]) ).
fof(f34646,plain,
( rR(sK2,vd1280,sK1)
| ~ rpoint(sK1)
| ~ spl54_297 ),
inference(resolution,[],[f7543,f8540]) ).
fof(f35068,definition,
( spl54_866
<=> vf(sK1,sK2) = vf(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_866])],[avatar_definition]) ).
fof(f35069,plain,
( vf(sK1,sK2) = vf(sK1,sK3)
| ~ spl54_866 ),
inference(avatar_component_clause,[],[f35068]) ).
fof(f35070,plain,
( vf(sK1,sK2) != vf(sK1,sK3)
| spl54_866 ),
inference(avatar_component_clause,[],[f35068]) ).
fof(f38339,plain,
! [X0,X1] :
( rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2)
| sK1 = sK3
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f29739,f1031]) ).
fof(f38349,plain,
! [X0,X1] :
( rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f38339,f1032]) ).
fof(f38354,plain,
! [X0,X1] :
( rless(vf(sK3,X0),vf(sK3,X1))
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2) ),
inference(forward_subsumption_resolution,[],[f38349,f704]) ).
fof(f39422,plain,
! [X0,X1] :
( ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| vangle(sK1,sK3,sK2) = vangle(X0,sK3,sK2)
| ~ rR(sK2,sK3,X0)
| ~ rpoint(X0)
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2) ),
inference(resolution,[],[f38354,f25832]) ).
fof(f39434,plain,
! [X0,X1] :
( ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rR(sK2,sK3,X1)
| ~ rpoint(X1)
| vangle(sK1,sK3,sK2) = vangle(X0,sK3,sK2)
| ~ rR(sK2,sK3,X0)
| ~ rR(sK1,sK3,X1)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2) ),
inference(duplicate_literal_removal,[],[f39422]) ).
fof(f39436,definition,
( spl54_1224
<=> ! [X1] :
( ~ rR(sK2,sK3,X1)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2)
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_1224])],[avatar_definition]) ).
fof(f39437,plain,
( ! [X1] :
( ~ rR(sK2,sK3,X1)
| vangle(sK1,sK3,sK2) = vangle(X1,sK3,sK2)
| ~ rR(sK1,sK3,X1)
| ~ rpoint(X1) )
| ~ spl54_1224 ),
inference(avatar_component_clause,[],[f39436]) ).
fof(f39438,plain,
( spl54_1224
| spl54_1224 ),
inference(avatar_split_clause,[],[f39434,f39436,f39436]) ).
fof(f47717,plain,
( vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)) = vf(vskolem1052(sK2,sK2,sK3,sK3),sK2)
| sK2 = sK3 ),
inference(resolution,[],[f4982,f702]) ).
fof(f47719,plain,
vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)) = vf(vskolem1052(sK2,sK2,sK3,sK3),sK2),
inference(forward_subsumption_resolution,[],[f47717,f1033]) ).
fof(f64676,plain,
( vf(sK2,sK3) = vf(sK3,vskolem1052(sK2,sK2,sK3,sK3))
| sK2 = sK3 ),
inference(resolution,[],[f2914,f702]) ).
fof(f64678,plain,
vf(sK2,sK3) = vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)),
inference(forward_subsumption_resolution,[],[f64676,f1033]) ).
fof(f64685,plain,
vf(sK1,sK3) = vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)),
inference(forward_demodulation,[],[f64678,f2765]) ).
fof(f65539,plain,
( ! [X0] :
( vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ rpoint(X0)
| ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,X0) )
| ~ spl54_14 ),
inference(superposition,[],[f2260,f64685]) ).
fof(f65661,definition,
( spl54_1786
<=> rpoint(vskolem1052(sK2,sK2,sK3,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_1786])],[avatar_definition]) ).
fof(f65662,plain,
( rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_1786 ),
inference(avatar_component_clause,[],[f65661]) ).
fof(f65663,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| spl54_1786 ),
inference(avatar_component_clause,[],[f65661]) ).
fof(f65665,definition,
( spl54_1787
<=> sK3 = vskolem1052(sK2,sK2,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_1787])],[avatar_definition]) ).
fof(f65666,plain,
( sK3 != vskolem1052(sK2,sK2,sK3,sK3)
| spl54_1787 ),
inference(avatar_component_clause,[],[f65665]) ).
fof(f65667,plain,
( sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_1787 ),
inference(avatar_component_clause,[],[f65665]) ).
fof(f65669,definition,
( spl54_1788
<=> sK2 = vskolem1052(sK2,sK2,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_1788])],[avatar_definition]) ).
fof(f65670,plain,
( sK2 != vskolem1052(sK2,sK2,sK3,sK3)
| spl54_1788 ),
inference(avatar_component_clause,[],[f65669]) ).
fof(f65671,plain,
( sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_1788 ),
inference(avatar_component_clause,[],[f65669]) ).
fof(f65690,definition,
( spl54_1793
<=> ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,X0)
| ~ rpoint(X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_1793])],[avatar_definition]) ).
fof(f65691,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,X0)
| ~ rpoint(X0) )
| ~ spl54_1793 ),
inference(avatar_component_clause,[],[f65690]) ).
fof(f65713,plain,
( ! [X0] :
( vf(sK2,sK3) != vf(sK1,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ rpoint(X0)
| ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,X0) )
| ~ spl54_14 ),
inference(forward_demodulation,[],[f65539,f2705]) ).
fof(f65908,plain,
( ! [X0] :
( ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ rpoint(X0)
| ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,X0) )
| ~ spl54_14 ),
inference(forward_subsumption_resolution,[],[f65713,f2765]) ).
fof(f65926,definition,
( spl54_1848
<=> vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl54_1848])],[avatar_definition]) ).
fof(f65928,plain,
( vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ spl54_1848 ),
inference(avatar_component_clause,[],[f65926]) ).
fof(f65929,plain,
( spl54_1793
| spl54_1848
| spl54_1788
| spl54_1787
| ~ spl54_1786
| ~ spl54_14 ),
inference(avatar_split_clause,[],[f65908,f2259,f65661,f65665,f65669,f65926,f65690]) ).
fof(f65930,plain,
( sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_1786 ),
inference(resolution,[],[f65663,f1568]) ).
fof(f65931,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_1786 ),
inference(forward_subsumption_resolution,[],[f65930,f1033]) ).
fof(f65932,plain,
( ~ rpoint(sK2)
| spl54_1786 ),
inference(forward_subsumption_resolution,[],[f65931,f700]) ).
fof(f65933,plain,
( $false
| spl54_1786 ),
inference(forward_subsumption_resolution,[],[f65932,f702]) ).
fof(f65934,plain,
spl54_1786,
inference(avatar_contradiction_clause,[],[f65933]) ).
fof(f65936,plain,
( vf(sK3,sK3) = vf(sK1,sK3)
| ~ spl54_1787 ),
inference(superposition,[],[f64685,f65667]) ).
fof(f65938,plain,
( vd684 = vf(sK1,sK3)
| ~ spl54_1787 ),
inference(forward_demodulation,[],[f65936,f2272]) ).
fof(f65939,plain,
( $false
| ~ spl54_1787 ),
inference(forward_subsumption_resolution,[],[f65938,f2796]) ).
fof(f65940,plain,
~ spl54_1787,
inference(avatar_contradiction_clause,[],[f65939]) ).
fof(f66070,plain,
( ~ rpoint(sK2)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_1793 ),
inference(resolution,[],[f65691,f6131]) ).
fof(f66071,plain,
( sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_1793 ),
inference(forward_subsumption_resolution,[],[f66070,f702]) ).
fof(f66077,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| spl54_1787
| ~ spl54_1793 ),
inference(forward_subsumption_resolution,[],[f66071,f65666]) ).
fof(f66083,plain,
( vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_1786
| spl54_1787
| ~ spl54_1793 ),
inference(forward_subsumption_resolution,[],[f66077,f65662]) ).
fof(f66089,plain,
( vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_1793 ),
inference(forward_subsumption_resolution,[],[f66083,f65670]) ).
fof(f66138,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vf(sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_1786 ),
inference(resolution,[],[f65662,f2480]) ).
fof(f66139,plain,
( vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)) = vf(vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_1786 ),
inference(resolution,[],[f65662,f2481]) ).
fof(f66145,plain,
( sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| vd684 = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_1786 ),
inference(resolution,[],[f65662,f2510]) ).
fof(f66169,plain,
( vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_201
| spl54_264
| ~ spl54_1786 ),
inference(resolution,[],[f65662,f8910]) ).
fof(f66186,plain,
( sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786 ),
inference(resolution,[],[f65662,f27747]) ).
fof(f66194,plain,
( vd684 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sF52 = vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vd1280 = vskolem1052(sK2,sK2,sK3,sK3)
| spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786 ),
inference(resolution,[],[f65662,f34510]) ).
fof(f66221,plain,
( vd684 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sF52 = vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vd1280 = vskolem1052(sK2,sK2,sK3,sK3)
| spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1787 ),
inference(forward_subsumption_resolution,[],[f66194,f65666]) ).
fof(f66224,plain,
( vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_1787 ),
inference(forward_subsumption_resolution,[],[f66186,f65666]) ).
fof(f66230,plain,
( vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1788 ),
inference(forward_subsumption_resolution,[],[f66169,f65670]) ).
fof(f66250,plain,
( vd684 = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_1786
| spl54_1787 ),
inference(forward_subsumption_resolution,[],[f66145,f65666]) ).
fof(f66280,plain,
( vd684 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sF52 = vangle(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| vd1280 = vskolem1052(sK2,sK2,sK3,sK3)
| spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1787
| spl54_1788 ),
inference(forward_subsumption_resolution,[],[f66221,f65670]) ).
fof(f66303,plain,
( vd684 = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_1793 ),
inference(forward_demodulation,[],[f66250,f66089]) ).
fof(f76113,plain,
( ! [X2,X0,X1] :
( vf(sK1,X0) != vf(sK1,sK2)
| ~ rR(X0,sK1,X1)
| ~ rpoint(X1)
| ~ rR(sK3,sK1,X2)
| ~ rpoint(X2)
| vangle(sK1,sK3,X0) = vangle(sK1,X0,sK3)
| sK3 = X0
| sK1 = X0
| sK1 = sK3
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_866 ),
inference(superposition,[],[f2227,f35069]) ).
fof(f76116,plain,
( ! [X2,X0,X1] :
( vf(sK1,X0) != vf(sK1,sK2)
| ~ rR(X0,sK1,X1)
| ~ rpoint(X1)
| ~ rR(sK3,sK1,X2)
| ~ rpoint(X2)
| vangle(sK1,sK3,X0) = vangle(sK1,X0,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK1) )
| ~ spl54_866 ),
inference(forward_subsumption_resolution,[],[f76113,f1032]) ).
fof(f76164,plain,
( ! [X2,X0,X1] :
( vf(sK1,X0) != vf(sK1,sK2)
| ~ rR(X0,sK1,X1)
| ~ rpoint(X1)
| ~ rR(sK3,sK1,X2)
| ~ rpoint(X2)
| vangle(sK1,sK3,X0) = vangle(sK1,X0,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) )
| ~ spl54_866 ),
inference(forward_subsumption_resolution,[],[f76116,f700]) ).
fof(f76212,plain,
( ! [X2,X0,X1] :
( vf(sK1,X0) != vf(sK1,sK2)
| ~ rR(X0,sK1,X1)
| ~ rpoint(X1)
| ~ rR(sK3,sK1,X2)
| ~ rpoint(X2)
| vangle(sK1,sK3,X0) = vangle(sK1,X0,sK3)
| sK3 = X0
| sK1 = X0
| ~ rpoint(X0) )
| ~ spl54_866 ),
inference(forward_subsumption_resolution,[],[f76164,f704]) ).
fof(f76260,definition,
( spl54_1969
<=> ! [X1] :
( ~ rR(sK3,sK1,X1)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_1969])],[avatar_definition]) ).
fof(f76261,plain,
( ! [X1] :
( ~ rR(sK3,sK1,X1)
| ~ rpoint(X1) )
| ~ spl54_1969 ),
inference(avatar_component_clause,[],[f76260]) ).
fof(f76263,definition,
( spl54_1970
<=> ! [X2,X0] :
( vf(sK1,X0) != vf(sK1,sK2)
| ~ rpoint(X0)
| sK1 = X0
| sK3 = X0
| vangle(sK1,sK3,X0) = vangle(sK1,X0,sK3)
| ~ rpoint(X2)
| ~ rR(X0,sK1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl54_1970])],[avatar_definition]) ).
fof(f76264,plain,
( ! [X2,X0] :
( vf(sK1,X0) != vf(sK1,sK2)
| ~ rpoint(X0)
| sK1 = X0
| sK3 = X0
| vangle(sK1,sK3,X0) = vangle(sK1,X0,sK3)
| ~ rpoint(X2)
| ~ rR(X0,sK1,X2) )
| ~ spl54_1970 ),
inference(avatar_component_clause,[],[f76263]) ).
fof(f76266,plain,
( spl54_1969
| spl54_1970
| ~ spl54_866 ),
inference(avatar_split_clause,[],[f76212,f35068,f76263,f76260]) ).
fof(f77210,definition,
( spl54_1972
<=> ! [X1] :
( ~ rR(sK2,sK1,X1)
| ~ rpoint(X1) ) ),
introduced(definition,[new_symbols(definition,[spl54_1972])],[avatar_definition]) ).
fof(f77211,plain,
( ! [X1] :
( ~ rR(sK2,sK1,X1)
| ~ rpoint(X1) )
| ~ spl54_1972 ),
inference(avatar_component_clause,[],[f77210]) ).
fof(f77221,plain,
( ~ rpoint(vd1280)
| ~ spl54_255
| ~ spl54_1972 ),
inference(resolution,[],[f77211,f8798]) ).
fof(f77258,plain,
( $false
| ~ spl54_255
| ~ spl54_1972 ),
inference(forward_subsumption_resolution,[],[f77221,f699]) ).
fof(f77259,plain,
( ~ spl54_255
| ~ spl54_1972 ),
inference(avatar_contradiction_clause,[],[f77258]) ).
fof(f77316,plain,
( ~ rpoint(sK1)
| spl54_255
| ~ spl54_297 ),
inference(forward_subsumption_resolution,[],[f34646,f7061]) ).
fof(f77387,plain,
( $false
| spl54_255
| ~ spl54_297 ),
inference(forward_subsumption_resolution,[],[f77316,f704]) ).
fof(f77388,plain,
( spl54_255
| ~ spl54_297 ),
inference(avatar_contradiction_clause,[],[f77387]) ).
fof(f87087,plain,
( rR(sK1,sK2,sK3)
| rR(sK3,sK2,sK1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_45
| ~ spl54_201 ),
inference(forward_subsumption_resolution,[],[f11195,f2964]) ).
fof(f87153,plain,
( rR(sK3,sK1,sK2)
| rR(sK2,sK1,sK3)
| sK2 = sK3
| sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_196
| spl54_265 ),
inference(forward_subsumption_resolution,[],[f18870,f7175]) ).
fof(f87451,plain,
( rR(sK3,sK2,sK1)
| sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_45
| ~ spl54_201
| spl54_265 ),
inference(forward_subsumption_resolution,[],[f87087,f7175]) ).
fof(f87513,plain,
( rR(sK2,sK1,sK3)
| sK2 = sK3
| sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_196
| spl54_265
| spl54_282 ),
inference(forward_subsumption_resolution,[],[f87153,f7687]) ).
fof(f87721,plain,
( sK1 = sK3
| sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(forward_subsumption_resolution,[],[f87451,f8541]) ).
fof(f87783,plain,
( sK2 = sK3
| sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(forward_subsumption_resolution,[],[f87513,f7170]) ).
fof(f87972,plain,
( sK2 = sK3
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(forward_subsumption_resolution,[],[f87721,f1032]) ).
fof(f88030,plain,
( sK1 = sK2
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(forward_subsumption_resolution,[],[f87783,f1033]) ).
fof(f88135,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(forward_subsumption_resolution,[],[f87972,f1033]) ).
fof(f88187,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(forward_subsumption_resolution,[],[f88030,f1031]) ).
fof(f88271,plain,
( ~ rpoint(sK2)
| spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(forward_subsumption_resolution,[],[f88135,f700]) ).
fof(f88321,plain,
( ~ rpoint(sK1)
| ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(forward_subsumption_resolution,[],[f88187,f702]) ).
fof(f88399,plain,
( $false
| spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(forward_subsumption_resolution,[],[f88271,f702]) ).
fof(f88400,plain,
( spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(avatar_contradiction_clause,[],[f88399]) ).
fof(f88430,plain,
( $false
| ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(forward_subsumption_resolution,[],[f88321,f704]) ).
fof(f88431,plain,
( ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(avatar_contradiction_clause,[],[f88430]) ).
fof(f100136,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ spl54_203 ),
inference(resolution,[],[f5997,f2171]) ).
fof(f100144,plain,
( ~ rpoint(sK2)
| ~ spl54_203 ),
inference(forward_subsumption_resolution,[],[f100136,f704]) ).
fof(f100149,plain,
( $false
| ~ spl54_203 ),
inference(forward_subsumption_resolution,[],[f100144,f702]) ).
fof(f100150,plain,
~ spl54_203,
inference(avatar_contradiction_clause,[],[f100149]) ).
fof(f100274,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| sK2 = X1
| sK1 = sK2
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK2,X1,X0)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_203 ),
inference(forward_subsumption_resolution,[],[f11380,f5998]) ).
fof(f100330,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| sK2 = X1
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| rR(sK2,X1,X0)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(sK1) )
| ~ spl54_201
| spl54_203 ),
inference(forward_subsumption_resolution,[],[f100274,f1031]) ).
fof(f100377,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| sK2 = X1
| ~ ron(X0,X2)
| sK2 = X0
| rR(sK2,X1,X0)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_201
| spl54_203 ),
inference(forward_subsumption_resolution,[],[f100330,f704]) ).
fof(f103105,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| ~ ron(X1,sK8(X2,X0))
| sK2 = X1
| rR(sK2,X0,X1)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(sK8(X2,X0))
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_203 ),
inference(resolution,[],[f100377,f1500]) ).
fof(f103186,plain,
( ! [X2,X0,X1] :
( sK2 = X0
| ~ ron(X1,sK8(X2,X0))
| sK2 = X1
| rR(sK2,X0,X1)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rline(sK8(X2,X0))
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_203 ),
inference(duplicate_literal_removal,[],[f103105]) ).
fof(f103230,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,sK8(X2,X0))
| sK2 = X0
| sK2 = X1
| rR(sK2,X0,X1)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2) )
| ~ spl54_201
| spl54_203 ),
inference(forward_subsumption_resolution,[],[f103186,f1504]) ).
fof(f103400,plain,
( ! [X0,X1] :
( sK2 = X0
| sK2 = X1
| rR(sK2,X0,X1)
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_201
| spl54_203 ),
inference(resolution,[],[f103230,f1502]) ).
fof(f103472,plain,
( ! [X0,X1] :
( rR(sK2,X0,X1)
| sK2 = X1
| sK2 = X0
| vangle(sK1,sK2,X0) = vangle(sK1,sK2,X1)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| ~ spl54_201
| spl54_203 ),
inference(duplicate_literal_removal,[],[f103400]) ).
fof(f113212,plain,
( ! [X0] :
( ~ rpoint(sK2)
| sK1 = sK2
| sK2 = sK3
| vangle(sK1,sK2,sK3) = vangle(sK1,sK3,sK2)
| ~ rpoint(X0)
| ~ rR(sK2,sK1,X0) )
| ~ spl54_1970 ),
inference(equality_resolution,[],[f76264]) ).
fof(f113215,plain,
( ! [X0] :
( sK1 = sK2
| sK2 = sK3
| vangle(sK1,sK2,sK3) = vangle(sK1,sK3,sK2)
| ~ rpoint(X0)
| ~ rR(sK2,sK1,X0) )
| ~ spl54_1970 ),
inference(forward_subsumption_resolution,[],[f113212,f702]) ).
fof(f113218,plain,
( ! [X0] :
( sK2 = sK3
| vangle(sK1,sK2,sK3) = vangle(sK1,sK3,sK2)
| ~ rpoint(X0)
| ~ rR(sK2,sK1,X0) )
| ~ spl54_1970 ),
inference(forward_subsumption_resolution,[],[f113215,f1031]) ).
fof(f113221,plain,
( ! [X0] :
( vangle(sK1,sK2,sK3) = vangle(sK1,sK3,sK2)
| ~ rpoint(X0)
| ~ rR(sK2,sK1,X0) )
| ~ spl54_1970 ),
inference(forward_subsumption_resolution,[],[f113218,f1033]) ).
fof(f113224,plain,
( ! [X0] :
( vd684 = vangle(sK1,sK3,sK2)
| ~ rpoint(X0)
| ~ rR(sK2,sK1,X0) )
| ~ spl54_195
| ~ spl54_1970 ),
inference(forward_demodulation,[],[f113221,f5924]) ).
fof(f113227,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rR(sK2,sK1,X0) )
| spl54_47
| ~ spl54_195
| ~ spl54_1970 ),
inference(forward_subsumption_resolution,[],[f113224,f2970]) ).
fof(f113230,plain,
( spl54_1972
| spl54_47
| ~ spl54_195
| ~ spl54_1970 ),
inference(avatar_split_clause,[],[f113227,f76263,f5923,f2969,f77210]) ).
fof(f113242,plain,
( ~ rpoint(sK2)
| ~ spl54_282
| ~ spl54_1969 ),
inference(resolution,[],[f76261,f7688]) ).
fof(f113275,plain,
( $false
| ~ spl54_282
| ~ spl54_1969 ),
inference(forward_subsumption_resolution,[],[f113242,f702]) ).
fof(f113276,plain,
( ~ spl54_282
| ~ spl54_1969 ),
inference(avatar_contradiction_clause,[],[f113275]) ).
fof(f119474,definition,
( spl54_2593
<=> vd1280 = vskolem1052(sK2,sK2,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_2593])],[avatar_definition]) ).
fof(f119476,plain,
( vd1280 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_2593 ),
inference(avatar_component_clause,[],[f119474]) ).
fof(f119512,plain,
( vf(sK1,sK3) = vf(vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_1786 ),
inference(forward_demodulation,[],[f66139,f64685]) ).
fof(f119513,plain,
( vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)) = vf(sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_1786 ),
inference(forward_demodulation,[],[f66138,f47719]) ).
fof(f119531,plain,
( sF52 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| vd684 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| vd1280 = vskolem1052(sK2,sK2,sK3,sK3)
| spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1787
| spl54_1788 ),
inference(forward_demodulation,[],[f66280,f66230]) ).
fof(f119533,plain,
( vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1788
| ~ spl54_1848 ),
inference(forward_demodulation,[],[f65928,f66230]) ).
fof(f119610,definition,
( spl54_2602
<=> vd684 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_2602])],[avatar_definition]) ).
fof(f119612,plain,
( vd684 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2602 ),
inference(avatar_component_clause,[],[f119610]) ).
fof(f119614,definition,
( spl54_2603
<=> vd684 = vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_2603])],[avatar_definition]) ).
fof(f119615,plain,
( vd684 != vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| spl54_2603 ),
inference(avatar_component_clause,[],[f119614]) ).
fof(f119616,plain,
( vd684 = vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2603 ),
inference(avatar_component_clause,[],[f119614]) ).
fof(f119648,definition,
( spl54_2608
<=> rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_2608])],[avatar_definition]) ).
fof(f119649,plain,
( rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2608 ),
inference(avatar_component_clause,[],[f119648]) ).
fof(f119650,plain,
( ~ rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| spl54_2608 ),
inference(avatar_component_clause,[],[f119648]) ).
fof(f119947,plain,
( vf(sK1,sK3) = vf(sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_1786 ),
inference(forward_demodulation,[],[f119513,f64685]) ).
fof(f119951,definition,
( spl54_2614
<=> sF52 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_2614])],[avatar_definition]) ).
fof(f119953,plain,
( sF52 = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2614 ),
inference(avatar_component_clause,[],[f119951]) ).
fof(f119954,plain,
( spl54_2593
| spl54_2602
| spl54_2614
| spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1787
| spl54_1788 ),
inference(avatar_split_clause,[],[f119531,f65669,f65665,f65661,f7168,f5971,f2633,f119951,f119610,f119474]) ).
fof(f122148,plain,
( vf(sK3,sK2) = vf(sK2,sK2)
| ~ spl54_1788 ),
inference(superposition,[],[f47719,f65671]) ).
fof(f122157,plain,
( vd684 = vf(sK3,sK2)
| ~ spl54_1788 ),
inference(forward_demodulation,[],[f122148,f2271]) ).
fof(f122159,plain,
( vd684 = vf(sK3,sK1)
| ~ spl54_1788 ),
inference(forward_demodulation,[],[f122157,f1030]) ).
fof(f122160,plain,
( $false
| ~ spl54_1788 ),
inference(forward_subsumption_resolution,[],[f122159,f2252]) ).
fof(f122161,plain,
~ spl54_1788,
inference(avatar_contradiction_clause,[],[f122160]) ).
fof(f124238,definition,
( spl54_2732
<=> rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl54_2732])],[avatar_definition]) ).
fof(f124239,plain,
( ~ rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| spl54_2732 ),
inference(avatar_component_clause,[],[f124238]) ).
fof(f124240,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_2732 ),
inference(avatar_component_clause,[],[f124238]) ).
fof(f124247,definition,
( spl54_2733
<=> rR(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3)) ),
introduced(definition,[new_symbols(definition,[spl54_2733])],[avatar_definition]) ).
fof(f124248,plain,
( ~ rR(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| spl54_2733 ),
inference(avatar_component_clause,[],[f124247]) ).
fof(f124249,plain,
( rR(sK3,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2733 ),
inference(avatar_component_clause,[],[f124247]) ).
fof(f130867,plain,
( sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| vangle(sK1,sK2,sK3) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_201
| spl54_203
| spl54_2608 ),
inference(resolution,[],[f119650,f103472]) ).
fof(f130876,plain,
( sK2 = sK3
| vangle(sK1,sK2,sK3) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_201
| spl54_203
| spl54_1788
| spl54_2608 ),
inference(forward_subsumption_resolution,[],[f130867,f65670]) ).
fof(f130881,plain,
( vangle(sK1,sK2,sK3) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_201
| spl54_203
| spl54_1788
| spl54_2608 ),
inference(forward_subsumption_resolution,[],[f130876,f1033]) ).
fof(f130886,plain,
( vangle(sK1,sK2,sK3) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_201
| spl54_203
| ~ spl54_1786
| spl54_1788
| spl54_2608 ),
inference(forward_subsumption_resolution,[],[f130881,f65662]) ).
fof(f130891,plain,
( vangle(sK1,sK2,sK3) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ spl54_201
| spl54_203
| ~ spl54_1786
| spl54_1788
| spl54_2608 ),
inference(forward_subsumption_resolution,[],[f130886,f700]) ).
fof(f130896,plain,
( vangle(sK1,sK2,sK3) = vangle(sK1,sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_201
| spl54_203
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2608 ),
inference(forward_subsumption_resolution,[],[f130891,f65666]) ).
fof(f135389,plain,
( sF52 = vangle(sK1,sK2,sK3)
| ~ spl54_201
| spl54_203
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2608
| ~ spl54_2614 ),
inference(forward_demodulation,[],[f130896,f119953]) ).
fof(f135420,plain,
( vd684 = sF52
| ~ spl54_195
| ~ spl54_201
| spl54_203
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2608
| ~ spl54_2614 ),
inference(forward_demodulation,[],[f135389,f5924]) ).
fof(f135443,plain,
( $false
| ~ spl54_195
| ~ spl54_201
| spl54_203
| spl54_245
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2608
| ~ spl54_2614 ),
inference(forward_subsumption_resolution,[],[f135420,f6952]) ).
fof(f135444,plain,
( ~ spl54_195
| ~ spl54_201
| spl54_203
| spl54_245
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2608
| ~ spl54_2614 ),
inference(avatar_contradiction_clause,[],[f135443]) ).
fof(f135536,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_2608 ),
inference(resolution,[],[f119649,f1498]) ).
fof(f146113,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK2)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK2,sK3,sK2) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| spl54_2733 ),
inference(resolution,[],[f124248,f27802]) ).
fof(f146119,plain,
( ~ rpoint(sK2)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK2,sK3,sK2) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_2733 ),
inference(forward_subsumption_resolution,[],[f146113,f65662]) ).
fof(f146122,plain,
( sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK2,sK3,sK2) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_2733 ),
inference(forward_subsumption_resolution,[],[f146119,f702]) ).
fof(f200042,plain,
( ! [X0] :
( sK3 = X0
| rR(X0,sK3,vd1280)
| ~ rpoint(X0)
| vangle(sK3,X0,sK3) = vangle(sK3,X0,vd1280)
| sK3 = X0
| vd1280 = X0 )
| spl54_30 ),
inference(resolution,[],[f8154,f700]) ).
fof(f200043,plain,
( ! [X0] :
( rR(X0,sK3,vd1280)
| sK3 = X0
| ~ rpoint(X0)
| vangle(sK3,X0,sK3) = vangle(sK3,X0,vd1280)
| vd1280 = X0 )
| spl54_30 ),
inference(duplicate_literal_removal,[],[f200042]) ).
fof(f200071,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| vangle(sK3,sK2,vd1280) = vangle(sK3,sK2,sK3)
| vd1280 = sK2
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| ~ rR(sK1,sK3,vd1280)
| ~ rpoint(vd1280)
| spl54_30
| ~ spl54_1224 ),
inference(resolution,[],[f200043,f39437]) ).
fof(f207061,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK3,sK2))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_282 ),
inference(resolution,[],[f1667,f7688]) ).
fof(f207321,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK3,sK2))
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl54_282 ),
inference(forward_subsumption_resolution,[],[f207061,f702]) ).
fof(f207529,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK3,sK2))
| ~ rpoint(sK1)
| ~ spl54_282 ),
inference(forward_subsumption_resolution,[],[f207321,f700]) ).
fof(f207690,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK3,sK2))
| ~ spl54_282 ),
inference(forward_subsumption_resolution,[],[f207529,f704]) ).
fof(f207810,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK3,sK1))
| ~ spl54_282 ),
inference(forward_demodulation,[],[f207690,f1030]) ).
fof(f207894,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK2,sK3))
| ~ spl54_282 ),
inference(forward_demodulation,[],[f207810,f2705]) ).
fof(f207953,plain,
( vf(sK1,sK2) = vplus(vf(sK1,sK3),vf(sK1,sK3))
| ~ spl54_282 ),
inference(forward_demodulation,[],[f207894,f2765]) ).
fof(f209027,plain,
( ~ rR(sK2,vd1280,sK3)
| ~ spl54_2593
| spl54_2732 ),
inference(forward_demodulation,[],[f124239,f119476]) ).
fof(f209029,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_1786
| ~ spl54_2608 ),
inference(forward_subsumption_resolution,[],[f135536,f65662]) ).
fof(f210429,plain,
( ~ rpoint(sK2)
| vangle(sK3,sK2,vd1280) = vangle(sK3,sK2,sK3)
| vd1280 = sK2
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| ~ rR(sK1,sK3,vd1280)
| ~ rpoint(vd1280)
| spl54_30
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f200071,f1033]) ).
fof(f210717,plain,
( $false
| ~ spl54_2593
| spl54_2732 ),
inference(forward_subsumption_resolution,[],[f209027,f2240]) ).
fof(f210718,plain,
( ~ spl54_2593
| spl54_2732 ),
inference(avatar_contradiction_clause,[],[f210717]) ).
fof(f210721,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ rpoint(sK3)
| ~ spl54_1786
| ~ spl54_2608 ),
inference(forward_subsumption_resolution,[],[f209029,f702]) ).
fof(f211350,plain,
( vangle(sK3,sK2,vd1280) = vangle(sK3,sK2,sK3)
| vd1280 = sK2
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| ~ rR(sK1,sK3,vd1280)
| ~ rpoint(vd1280)
| spl54_30
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f210429,f702]) ).
fof(f211595,plain,
( rR(sK2,vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_1786
| ~ spl54_2608 ),
inference(forward_subsumption_resolution,[],[f210721,f700]) ).
fof(f211897,plain,
( vangle(sK3,sK2,vd1280) = vangle(sK3,sK2,sK3)
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| ~ rR(sK1,sK3,vd1280)
| ~ rpoint(vd1280)
| spl54_30
| spl54_34
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f211350,f2634]) ).
fof(f212210,plain,
( vangle(sK3,sK2,vd1280) = vangle(sK3,sK2,sK3)
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| ~ rpoint(vd1280)
| spl54_30
| spl54_34
| ~ spl54_217
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f211897,f6570]) ).
fof(f212420,plain,
( vangle(sK3,sK2,vd1280) = vangle(sK3,sK2,sK3)
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| spl54_30
| spl54_34
| ~ spl54_217
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f212210,f699]) ).
fof(f212521,plain,
( vd684 = vangle(sK3,sK2,vd1280)
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| spl54_30
| spl54_34
| ~ spl54_217
| ~ spl54_1224 ),
inference(forward_demodulation,[],[f212420,f2528]) ).
fof(f212572,plain,
( vd684 = sF52
| vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| spl54_30
| spl54_34
| ~ spl54_201
| ~ spl54_217
| spl54_264
| ~ spl54_1224 ),
inference(forward_demodulation,[],[f212521,f7818]) ).
fof(f212612,plain,
( vangle(sK1,sK3,sK2) = vangle(vd1280,sK3,sK2)
| spl54_30
| spl54_34
| ~ spl54_201
| ~ spl54_217
| spl54_245
| spl54_264
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f212572,f6952]) ).
fof(f212638,plain,
( vangle(sK1,sK3,sK2) = vangle(sK2,sK3,vd1280)
| spl54_30
| spl54_34
| ~ spl54_36
| ~ spl54_201
| ~ spl54_217
| spl54_245
| spl54_264
| ~ spl54_1224 ),
inference(forward_demodulation,[],[f212612,f2645]) ).
fof(f212664,plain,
( vd684 = vangle(sK1,sK3,sK2)
| spl54_30
| spl54_34
| ~ spl54_36
| ~ spl54_201
| ~ spl54_217
| spl54_245
| spl54_264
| spl54_416
| ~ spl54_504
| ~ spl54_1224 ),
inference(forward_demodulation,[],[f212638,f20887]) ).
fof(f212686,plain,
( $false
| spl54_30
| spl54_34
| ~ spl54_36
| spl54_47
| ~ spl54_201
| ~ spl54_217
| spl54_245
| spl54_264
| spl54_416
| ~ spl54_504
| ~ spl54_1224 ),
inference(forward_subsumption_resolution,[],[f212664,f2970]) ).
fof(f212687,plain,
( spl54_30
| spl54_34
| ~ spl54_36
| spl54_47
| ~ spl54_201
| ~ spl54_217
| spl54_245
| spl54_264
| spl54_416
| ~ spl54_504
| ~ spl54_1224 ),
inference(avatar_contradiction_clause,[],[f212686]) ).
fof(f222596,plain,
( vd684 = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1788
| ~ spl54_1848
| ~ spl54_2602 ),
inference(forward_demodulation,[],[f119533,f119612]) ).
fof(f223705,definition,
( spl54_3599
<=> rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_3599])],[avatar_definition]) ).
fof(f223706,plain,
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| spl54_3599 ),
inference(avatar_component_clause,[],[f223705]) ).
fof(f223707,plain,
( rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ spl54_3599 ),
inference(avatar_component_clause,[],[f223705]) ).
fof(f223709,definition,
( spl54_3600
<=> vd684 = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl54_3600])],[avatar_definition]) ).
fof(f223711,plain,
( vd684 = vangle(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ spl54_3600 ),
inference(avatar_component_clause,[],[f223709]) ).
fof(f223713,plain,
( spl54_3600
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_1793 ),
inference(avatar_split_clause,[],[f66303,f65690,f65669,f65665,f65661,f223709]) ).
fof(f224178,plain,
( spl54_3600
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1788
| ~ spl54_1848
| ~ spl54_2602 ),
inference(avatar_split_clause,[],[f222596,f119610,f65926,f65669,f65661,f7168,f5971,f223709]) ).
fof(f244932,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK2),vf(sK2,sK3))
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2732 ),
inference(resolution,[],[f124240,f1667]) ).
fof(f244937,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK2),vf(sK2,sK3))
| ~ rpoint(sK2)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2732 ),
inference(forward_subsumption_resolution,[],[f244932,f700]) ).
fof(f244942,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK2),vf(sK2,sK3))
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_2732 ),
inference(forward_subsumption_resolution,[],[f244937,f702]) ).
fof(f244947,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK2),vf(sK2,sK3))
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_subsumption_resolution,[],[f244942,f65662]) ).
fof(f244952,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK2),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_demodulation,[],[f244947,f2765]) ).
fof(f244957,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_demodulation,[],[f244952,f47719]) ).
fof(f244958,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK3) = vplus(vf(sK1,sK3),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_demodulation,[],[f244957,f64685]) ).
fof(f244959,plain,
( vf(sK1,sK2) = vf(vskolem1052(sK2,sK2,sK3,sK3),sK3)
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_demodulation,[],[f244958,f207953]) ).
fof(f244960,plain,
( vf(sK1,sK2) = vf(sK1,sK3)
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_demodulation,[],[f244959,f119512]) ).
fof(f244961,plain,
( $false
| ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_2732 ),
inference(forward_subsumption_resolution,[],[f244960,f35070]) ).
fof(f244962,plain,
( ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_2732 ),
inference(avatar_contradiction_clause,[],[f244961]) ).
fof(f245414,plain,
( vf(sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vplus(vf(sK2,sK3),vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)))
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_2733 ),
inference(resolution,[],[f124249,f1667]) ).
fof(f245418,plain,
( vf(sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vplus(vf(sK2,sK3),vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)))
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_subsumption_resolution,[],[f245414,f65662]) ).
fof(f245420,plain,
( vf(sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vplus(vf(sK2,sK3),vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)))
| ~ rpoint(sK2)
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_subsumption_resolution,[],[f245418,f700]) ).
fof(f245422,plain,
( vf(sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vplus(vf(sK2,sK3),vf(sK3,vskolem1052(sK2,sK2,sK3,sK3)))
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_subsumption_resolution,[],[f245420,f702]) ).
fof(f245424,plain,
( vf(sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vplus(vf(sK2,sK3),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_demodulation,[],[f245422,f64685]) ).
fof(f245425,plain,
( vf(sK2,vskolem1052(sK2,sK2,sK3,sK3)) = vplus(vf(sK1,sK3),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_demodulation,[],[f245424,f2765]) ).
fof(f245426,plain,
( vf(sK1,sK2) = vf(sK2,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_demodulation,[],[f245425,f207953]) ).
fof(f245427,plain,
( vf(sK1,sK2) = vf(sK1,sK3)
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_demodulation,[],[f245426,f119947]) ).
fof(f245428,plain,
( $false
| ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_2733 ),
inference(forward_subsumption_resolution,[],[f245427,f35070]) ).
fof(f245429,plain,
( ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_2733 ),
inference(avatar_contradiction_clause,[],[f245428]) ).
fof(f245438,plain,
( sK2 = sK3
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK2,sK3,sK2) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_2733 ),
inference(forward_subsumption_resolution,[],[f146122,f65666]) ).
fof(f245459,plain,
( sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| vangle(sK2,sK3,sK2) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_2733 ),
inference(forward_subsumption_resolution,[],[f245438,f1033]) ).
fof(f245477,plain,
( vangle(sK2,sK3,sK2) = vangle(vd1280,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2733 ),
inference(forward_subsumption_resolution,[],[f245459,f65670]) ).
fof(f245494,plain,
( vangle(sK2,sK3,sK2) = vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2733 ),
inference(forward_demodulation,[],[f245477,f66224]) ).
fof(f246087,plain,
( vd684 = vangle(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2733 ),
inference(forward_demodulation,[],[f245494,f2595]) ).
fof(f246234,plain,
( $false
| ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2603
| spl54_2733 ),
inference(forward_subsumption_resolution,[],[f246087,f119615]) ).
fof(f246235,plain,
( ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2603
| spl54_2733 ),
inference(avatar_contradiction_clause,[],[f246234]) ).
fof(f253131,plain,
( ! [X0] :
( vd684 != vd684
| ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3)) )
| ~ spl54_3600 ),
inference(superposition,[],[f1551,f223711]) ).
fof(f253139,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3)) )
| ~ spl54_3600 ),
inference(trivial_inequality_removal,[],[f253131]) ).
fof(f257077,plain,
( ! [X0] :
( vd684 != vd684
| ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_2603 ),
inference(superposition,[],[f1555,f119616]) ).
fof(f257081,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_2603 ),
inference(trivial_inequality_removal,[],[f257077]) ).
fof(f257085,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f257081,f1568]) ).
fof(f261533,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3)) )
| spl54_1788
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f253139,f65670]) ).
fof(f261922,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3)) )
| spl54_1787
| spl54_1788
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f261533,f65666]) ).
fof(f262153,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3)) )
| spl54_1787
| spl54_1788
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f261922,f702]) ).
fof(f262280,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ rline(X0)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3)) )
| spl54_1787
| spl54_1788
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f262153,f700]) ).
fof(f262340,plain,
( ! [X0] :
( ~ rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ rline(X0) )
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f262280,f65662]) ).
fof(f270594,definition,
( spl54_3918
<=> rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl54_3918])],[avatar_definition]) ).
fof(f270595,plain,
( ~ rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| spl54_3918 ),
inference(avatar_component_clause,[],[f270594]) ).
fof(f270596,plain,
( rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ spl54_3918 ),
inference(avatar_component_clause,[],[f270594]) ).
fof(f279041,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK3,sK2))
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_3918 ),
inference(resolution,[],[f270596,f1667]) ).
fof(f279045,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK3,sK2))
| ~ rpoint(sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_3918 ),
inference(forward_subsumption_resolution,[],[f279041,f702]) ).
fof(f279049,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK3,sK2))
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_3918 ),
inference(forward_subsumption_resolution,[],[f279045,f700]) ).
fof(f279053,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK3,sK2))
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_subsumption_resolution,[],[f279049,f65662]) ).
fof(f279056,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK3,sK1))
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279053,f1030]) ).
fof(f279060,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK2,sK3))
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279056,f2705]) ).
fof(f279062,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(vskolem1052(sK2,sK2,sK3,sK3),sK3),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279060,f2765]) ).
fof(f279063,plain,
( vf(vskolem1052(sK2,sK2,sK3,sK3),sK2) = vplus(vf(sK1,sK3),vf(sK1,sK3))
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279062,f119512]) ).
fof(f279064,plain,
( vf(sK1,sK2) = vf(vskolem1052(sK2,sK2,sK3,sK3),sK2)
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279063,f207953]) ).
fof(f279065,plain,
( vf(sK1,sK2) = vf(sK3,vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279064,f47719]) ).
fof(f279066,plain,
( vf(sK1,sK2) = vf(sK1,sK3)
| ~ spl54_282
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_demodulation,[],[f279065,f64685]) ).
fof(f279067,plain,
( $false
| ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_3918 ),
inference(forward_subsumption_resolution,[],[f279066,f35070]) ).
fof(f279068,plain,
( ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_3918 ),
inference(avatar_contradiction_clause,[],[f279067]) ).
fof(f279072,plain,
( $false
| ~ spl54_1786
| ~ spl54_2608
| spl54_2732 ),
inference(forward_subsumption_resolution,[],[f211595,f124239]) ).
fof(f279073,plain,
( ~ spl54_1786
| ~ spl54_2608
| spl54_2732 ),
inference(avatar_contradiction_clause,[],[f279072]) ).
fof(f280671,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ rline(X0) )
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_3599
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f262340,f223707]) ).
fof(f282511,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f257085,f65666]) ).
fof(f282597,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| ~ spl54_3599
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f282511,f280671]) ).
fof(f282628,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| ~ spl54_3599
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f282597,f1033]) ).
fof(f282648,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| ~ spl54_3599
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f282628,f702]) ).
fof(f282659,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| ~ spl54_3599
| ~ spl54_3600 ),
inference(forward_subsumption_resolution,[],[f282648,f700]) ).
fof(f282667,plain,
( spl54_202
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| ~ spl54_3599
| ~ spl54_3600 ),
inference(avatar_split_clause,[],[f282659,f223709,f223705,f119614,f65669,f65665,f65661,f5992]) ).
fof(f282724,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f282511,f1033]) ).
fof(f282776,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f282724,f702]) ).
fof(f282814,plain,
( ! [X0] :
( ron(vskolem1052(sK2,sK2,sK3,sK3),X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0) )
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f282776,f700]) ).
fof(f283539,plain,
( ~ ron(sK2,sK8(sK3,sK1))
| ~ ron(sK3,sK8(sK3,sK1))
| ~ rline(sK8(sK3,sK1))
| rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| spl54_1787
| ~ spl54_2603 ),
inference(resolution,[],[f282814,f12898]) ).
fof(f283602,plain,
( ~ ron(sK3,sK8(sK3,sK1))
| ~ rline(sK8(sK3,sK1))
| rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f283539,f12717]) ).
fof(f283790,plain,
( ~ rline(sK8(sK3,sK1))
| rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f283602,f12791]) ).
fof(f283972,plain,
( rR(sK3,vskolem1052(sK2,sK2,sK3,sK3),sK2)
| rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| spl54_1787
| ~ spl54_2603 ),
inference(forward_subsumption_resolution,[],[f283790,f12798]) ).
fof(f284133,plain,
( rR(sK2,sK3,vskolem1052(sK2,sK2,sK3,sK3))
| rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| spl54_1787
| ~ spl54_2603
| spl54_3918 ),
inference(forward_subsumption_resolution,[],[f283972,f270595]) ).
fof(f284279,plain,
( rR(vskolem1052(sK2,sK2,sK3,sK3),sK3,sK2)
| sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| spl54_1787
| ~ spl54_2603
| spl54_2608
| spl54_3918 ),
inference(forward_subsumption_resolution,[],[f284133,f119650]) ).
fof(f284377,plain,
( sK2 = vskolem1052(sK2,sK2,sK3,sK3)
| sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| spl54_1787
| ~ spl54_2603
| spl54_2608
| spl54_3599
| spl54_3918 ),
inference(forward_subsumption_resolution,[],[f284279,f223706]) ).
fof(f284455,plain,
( sK3 = vskolem1052(sK2,sK2,sK3,sK3)
| ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| spl54_1787
| spl54_1788
| ~ spl54_2603
| spl54_2608
| spl54_3599
| spl54_3918 ),
inference(forward_subsumption_resolution,[],[f284377,f65670]) ).
fof(f284499,plain,
( ~ rpoint(vskolem1052(sK2,sK2,sK3,sK3))
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| spl54_1787
| spl54_1788
| ~ spl54_2603
| spl54_2608
| spl54_3599
| spl54_3918 ),
inference(forward_subsumption_resolution,[],[f284455,f65666]) ).
fof(f284512,plain,
( $false
| ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| spl54_2608
| spl54_3599
| spl54_3918 ),
inference(forward_subsumption_resolution,[],[f284499,f65662]) ).
fof(f284513,plain,
( ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| spl54_2608
| spl54_3599
| spl54_3918 ),
inference(avatar_contradiction_clause,[],[f284512]) ).
cnf(s15,plain,
( spl54_13
| spl54_14 ),
inference(sat_conversion,[],[f2262]) ).
cnf(s16,plain,
~ spl54_13,
inference(sat_conversion,[],[f2265]) ).
cnf(s35,plain,
( spl54_34
| spl54_36 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s39,plain,
~ spl54_34,
inference(sat_conversion,[],[f2681]) ).
cnf(s68,plain,
( ~ spl54_18
| spl54_45 ),
inference(sat_conversion,[],[f3362]) ).
cnf(s170,plain,
( spl54_194
| ~ spl54_195 ),
inference(sat_conversion,[],[f5926]) ).
cnf(s171,plain,
( ~ spl54_195
| spl54_196 ),
inference(sat_conversion,[],[f5931]) ).
cnf(s175,plain,
( ~ spl54_195
| spl54_201 ),
inference(sat_conversion,[],[f5973]) ).
cnf(s176,plain,
( ~ spl54_45
| ~ spl54_195
| spl54_202 ),
inference(sat_conversion,[],[f5994]) ).
cnf(s178,plain,
( spl54_50
| spl54_195 ),
inference(sat_conversion,[],[f6284]) ).
cnf(s179,plain,
( ~ spl54_18
| ~ spl54_50 ),
inference(sat_conversion,[],[f6306]) ).
cnf(s189,plain,
~ spl54_202,
inference(sat_conversion,[],[f6527]) ).
cnf(s237,plain,
( ~ spl54_191
| ~ spl54_201 ),
inference(sat_conversion,[],[f7150]) ).
cnf(s238,plain,
( spl54_191
| ~ spl54_195
| ~ spl54_264 ),
inference(sat_conversion,[],[f7171]) ).
cnf(s239,plain,
( spl54_191
| ~ spl54_195
| ~ spl54_265 ),
inference(sat_conversion,[],[f7176]) ).
cnf(s250,plain,
( ~ spl54_201
| ~ spl54_276
| spl54_277 ),
inference(sat_conversion,[],[f7641]) ).
cnf(s267,plain,
( ~ spl54_30
| spl54_53 ),
inference(sat_conversion,[],[f8024]) ).
cnf(s272,plain,
( spl54_34
| ~ spl54_201
| spl54_202
| ~ spl54_245
| spl54_264 ),
inference(sat_conversion,[],[f8076]) ).
cnf(s277,plain,
( spl54_195
| spl54_265 ),
inference(sat_conversion,[],[f8091]) ).
cnf(s278,plain,
( spl54_195
| spl54_264 ),
inference(sat_conversion,[],[f8098]) ).
cnf(s283,plain,
( ~ spl54_264
| ~ spl54_265 ),
inference(sat_conversion,[],[f8148]) ).
cnf(s286,plain,
( ~ spl54_47
| spl54_202
| ~ spl54_297 ),
inference(sat_conversion,[],[f8542]) ).
cnf(s287,plain,
~ spl54_53,
inference(sat_conversion,[],[f8770]) ).
cnf(s306,plain,
~ spl54_51,
inference(sat_conversion,[],[f9591]) ).
cnf(s310,plain,
spl54_276,
inference(sat_conversion,[],[f9672]) ).
cnf(s345,plain,
( ~ spl54_201
| ~ spl54_335
| spl54_337 ),
inference(sat_conversion,[],[f10917]) ).
cnf(s359,plain,
spl54_335,
inference(sat_conversion,[],[f11292]) ).
cnf(s412,plain,
( ~ spl54_194
| ~ spl54_196
| spl54_392
| ~ spl54_393
| ~ spl54_394 ),
inference(sat_conversion,[],[f12800]) ).
cnf(s423,plain,
( ~ spl54_194
| ~ spl54_201
| spl54_393 ),
inference(sat_conversion,[],[f12874]) ).
cnf(s434,plain,
( spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337
| spl54_416
| spl54_417 ),
inference(sat_conversion,[],[f13531]) ).
cnf(s438,plain,
~ spl54_416,
inference(sat_conversion,[],[f13601]) ).
cnf(s495,plain,
spl54_394,
inference(sat_conversion,[],[f16261]) ).
cnf(s524,plain,
( ~ spl54_194
| spl54_504
| spl54_505 ),
inference(sat_conversion,[],[f20372]) ).
cnf(s525,plain,
~ spl54_505,
inference(sat_conversion,[],[f20389]) ).
cnf(s1188,plain,
( spl54_1224
| spl54_1224 ),
inference(sat_conversion,[],[f39438]) ).
cnf(s1189,plain,
spl54_1224,
inference(rat,[],[s1188]) ).
cnf(s2127,plain,
( ~ spl54_14
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_1793
| spl54_1848 ),
inference(sat_conversion,[],[f65929]) ).
cnf(s2128,plain,
spl54_1786,
inference(sat_conversion,[],[f65934]) ).
cnf(s2129,plain,
~ spl54_1787,
inference(sat_conversion,[],[f65940]) ).
cnf(s2380,plain,
( ~ spl54_866
| spl54_1969
| spl54_1970 ),
inference(sat_conversion,[],[f76266]) ).
cnf(s2385,plain,
( ~ spl54_255
| ~ spl54_1972 ),
inference(sat_conversion,[],[f77259]) ).
cnf(s2387,plain,
( spl54_255
| ~ spl54_297 ),
inference(sat_conversion,[],[f77388]) ).
cnf(s2519,plain,
( spl54_45
| ~ spl54_201
| spl54_265
| spl54_297 ),
inference(sat_conversion,[],[f88400]) ).
cnf(s2534,plain,
( ~ spl54_196
| spl54_264
| spl54_265
| spl54_282 ),
inference(sat_conversion,[],[f88431]) ).
cnf(s2849,plain,
~ spl54_203,
inference(sat_conversion,[],[f100150]) ).
cnf(s3157,plain,
( spl54_47
| ~ spl54_195
| ~ spl54_1970
| spl54_1972 ),
inference(sat_conversion,[],[f113230]) ).
cnf(s3160,plain,
( ~ spl54_282
| ~ spl54_1969 ),
inference(sat_conversion,[],[f113276]) ).
cnf(s3551,plain,
( spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2593
| spl54_2602
| spl54_2614 ),
inference(sat_conversion,[],[f119954]) ).
cnf(s3759,plain,
~ spl54_1788,
inference(sat_conversion,[],[f122161]) ).
cnf(s3964,plain,
( ~ spl54_195
| ~ spl54_201
| spl54_203
| spl54_245
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2608
| ~ spl54_2614 ),
inference(sat_conversion,[],[f135444]) ).
cnf(s4991,plain,
( ~ spl54_2593
| spl54_2732 ),
inference(sat_conversion,[],[f210718]) ).
cnf(s5053,plain,
( spl54_30
| spl54_34
| ~ spl54_36
| spl54_47
| ~ spl54_201
| ~ spl54_217
| spl54_245
| spl54_264
| spl54_416
| ~ spl54_504
| ~ spl54_1224 ),
inference(sat_conversion,[],[f212687]) ).
cnf(s5115,plain,
( ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_1793
| spl54_3600 ),
inference(sat_conversion,[],[f223713]) ).
cnf(s5118,plain,
( ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1788
| ~ spl54_1848
| ~ spl54_2602
| spl54_3600 ),
inference(sat_conversion,[],[f224178]) ).
cnf(s6121,plain,
( ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_2732 ),
inference(sat_conversion,[],[f244962]) ).
cnf(s6164,plain,
( ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_2733 ),
inference(sat_conversion,[],[f245429]) ).
cnf(s6220,plain,
( ~ spl54_417
| ~ spl54_1786
| spl54_1787
| spl54_1788
| spl54_2603
| spl54_2733 ),
inference(sat_conversion,[],[f246235]) ).
cnf(s6514,plain,
( ~ spl54_282
| spl54_866
| ~ spl54_1786
| ~ spl54_3918 ),
inference(sat_conversion,[],[f279068]) ).
cnf(s6516,plain,
( ~ spl54_1786
| ~ spl54_2608
| spl54_2732 ),
inference(sat_conversion,[],[f279073]) ).
cnf(s6833,plain,
( spl54_202
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| ~ spl54_3599
| ~ spl54_3600 ),
inference(sat_conversion,[],[f282667]) ).
cnf(s6845,plain,
( ~ spl54_194
| ~ spl54_392
| ~ spl54_394
| ~ spl54_1786
| spl54_1787
| spl54_1788
| ~ spl54_2603
| spl54_2608
| spl54_3599
| spl54_3918 ),
inference(sat_conversion,[],[f284513]) ).
cnf(s6872,plain,
( spl54_34
| ~ spl54_201
| spl54_264
| ~ spl54_1786
| spl54_1787
| spl54_2593
| spl54_2602
| spl54_2614 ),
inference(rat,[],[s3551,s3759]) ).
cnf(s6888,plain,
( ~ spl54_14
| spl54_1793
| spl54_1848 ),
inference(rat,[],[s2127,s3759,s2129,s2128]) ).
cnf(s7226,plain,
( ~ spl54_194
| spl54_504 ),
inference(rat,[],[s524,s525]) ).
cnf(s7245,plain,
( spl54_18
| spl54_30
| spl54_51
| ~ spl54_194
| ~ spl54_201
| spl54_217
| spl54_265
| ~ spl54_276
| ~ spl54_277
| ~ spl54_337
| spl54_417 ),
inference(rat,[],[s434,s438]) ).
cnf(s7260,plain,
( ~ spl54_194
| ~ spl54_196
| spl54_392
| ~ spl54_393 ),
inference(rat,[],[s412,s495]) ).
cnf(s7266,plain,
( ~ spl54_201
| spl54_337 ),
inference(rat,[],[s345,s359]) ).
cnf(s7279,plain,
~ spl54_30,
inference(rat,[],[s267,s287]) ).
cnf(s7288,plain,
( ~ spl54_201
| spl54_277 ),
inference(rat,[],[s250,s310]) ).
cnf(s7293,plain,
( ~ spl54_45
| ~ spl54_195 ),
inference(rat,[],[s176,s189]) ).
cnf(s7304,plain,
spl54_36,
inference(rat,[],[s35,s39]) ).
cnf(s7322,plain,
spl54_14,
inference(rat,[],[s15,s16]) ).
cnf(s7325,plain,
~ spl54_18,
inference(rat,[],[s7293,s178,s68,s179]) ).
cnf(s7329,plain,
spl54_195,
inference(rat,[],[s283,s277,s278]) ).
cnf(s7330,plain,
~ spl54_45,
inference(rat,[],[s7293,s7329]) ).
cnf(s7331,plain,
spl54_201,
inference(rat,[],[s175,s7329]) ).
cnf(s7332,plain,
spl54_196,
inference(rat,[],[s171,s7329]) ).
cnf(s7333,plain,
spl54_194,
inference(rat,[],[s170,s7329]) ).
cnf(s7339,plain,
spl54_337,
inference(rat,[],[s7266,s7331]) ).
cnf(s7345,plain,
spl54_277,
inference(rat,[],[s7288,s7331]) ).
cnf(s7346,plain,
~ spl54_191,
inference(rat,[],[s237,s7331]) ).
cnf(s7348,plain,
spl54_504,
inference(rat,[],[s7226,s7333]) ).
cnf(s7351,plain,
spl54_393,
inference(rat,[],[s423,s7331,s7333]) ).
cnf(s7357,plain,
spl54_392,
inference(rat,[],[s7260,s7351,s7332,s7333]) ).
cnf(s7366,plain,
~ spl54_265,
inference(rat,[],[s239,s7329,s7346]) ).
cnf(s7367,plain,
~ spl54_264,
inference(rat,[],[s238,s7329,s7346]) ).
cnf(s7370,plain,
spl54_297,
inference(rat,[],[s2519,s7331,s7330,s7366]) ).
cnf(s7371,plain,
spl54_282,
inference(rat,[],[s2534,s7366,s7332,s7367]) ).
cnf(s7373,plain,
~ spl54_245,
inference(rat,[],[s272,s7331,s39,s189,s7367]) ).
cnf(s7374,plain,
spl54_255,
inference(rat,[],[s2387,s7370]) ).
cnf(s7375,plain,
~ spl54_47,
inference(rat,[],[s286,s189,s7370]) ).
cnf(s7376,plain,
~ spl54_1969,
inference(rat,[],[s3160,s7371]) ).
cnf(s7377,plain,
~ spl54_1972,
inference(rat,[],[s2385,s7374]) ).
cnf(s7378,plain,
~ spl54_1970,
inference(rat,[],[s3157,s7377,s7329,s7375]) ).
cnf(s7380,plain,
~ spl54_217,
inference(rat,[],[s5053,s1189,s7348,s438,s7367,s7373,s7331,s7304,s39,s7279,s7375]) ).
cnf(s7382,plain,
~ spl54_866,
inference(rat,[],[s2380,s7376,s7378]) ).
cnf(s7402,plain,
spl54_417,
inference(rat,[],[s7245,s7366,s7339,s7345,s310,s7333,s7331,s7325,s7279,s306,s7380]) ).
cnf(s7404,plain,
~ spl54_3918,
inference(rat,[],[s6514,s7371,s2128,s7382]) ).
cnf(s7405,plain,
~ spl54_2733,
inference(rat,[],[s6164,s7371,s2128,s7382]) ).
cnf(s7406,plain,
~ spl54_2732,
inference(rat,[],[s6121,s7371,s2128,s7382]) ).
cnf(s7427,plain,
spl54_2603,
inference(rat,[],[s6220,s7405,s2128,s3759,s2129,s7402]) ).
cnf(s7436,plain,
~ spl54_2593,
inference(rat,[],[s4991,s7406]) ).
cnf(s7437,plain,
~ spl54_2608,
inference(rat,[],[s6516,s2128,s7406]) ).
cnf(s7512,plain,
~ spl54_2614,
inference(rat,[],[s3964,s7373,s7331,s3759,s2129,s2128,s7329,s2849,s7437]) ).
cnf(s7513,plain,
spl54_3599,
inference(rat,[],[s6845,s7404,s7427,s7357,s7333,s3759,s2129,s2128,s495,s7437]) ).
cnf(s7526,plain,
spl54_2602,
inference(rat,[],[s6872,s7436,s7367,s7331,s2129,s2128,s39,s7512]) ).
cnf(s7527,plain,
~ spl54_3600,
inference(rat,[],[s6833,s7427,s189,s2128,s3759,s2129,s7513]) ).
cnf(s7544,plain,
~ spl54_1848,
inference(rat,[],[s5118,s7527,s7367,s7331,s3759,s2128,s7526]) ).
cnf(s7545,plain,
~ spl54_1793,
inference(rat,[],[s5115,s2128,s2129,s3759,s7527]) ).
cnf(s7547,plain,
$false,
inference(rat,[],[s6888,s7322,s7544,s7545]) ).
fof(f284516,plain,
$false,
inference(avatar_sat_refutation,[],[s7547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO304+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:02:39 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.60/2.55 % (905073)Detected formulas, will run a generic FOF schedule.
% 11.60/2.55 % (905082)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=941436861:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.60/2.55 % (905082)Instruction limit reached!
% 11.60/2.55 % (905082)------------------------------
% 11.60/2.55 % (905082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.55 % (905082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.55 % (905082)CaDiCaL version: 2.1.3
% 11.60/2.55 % (905082)Termination reason: Instruction limit
% 11.60/2.55 % (905082)Termination phase: Saturation
% 11.60/2.55 % (905082)Time elapsed: 0.033 s
% 11.60/2.55 % (905082)Peak memory usage: 89 MB
% 11.60/2.55 % (905082)Instructions burned: 119 (million)
% 11.60/2.55 % (905083)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3815980467:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.60/2.55 % (905079)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=375398753:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.60/2.55 % (905078)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=922307947:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.60/2.55 % (905080)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=16914617:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.60/2.55 % (905081)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=643391337:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.60/2.55 % (905084)dis-21_1_sil=8000:lcm=predicate:random_seed=2999198498:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.60/2.55 % (905081)Refutation not found, incomplete strategy
% 11.60/2.55 % (905081)------------------------------
% 11.60/2.55 % (905081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.55 % (905081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.55 % (905081)CaDiCaL version: 2.1.3
% 11.60/2.55 % (905081)Termination reason: Refutation not found, incomplete strategy
% 11.60/2.55 % (905081)Time elapsed: 0.002 s
% 11.60/2.55 % (905081)Peak memory usage: 88 MB
% 11.60/2.55 % (905081)Instructions burned: 1 (million)
% 11.60/2.55 % (905084)Instruction limit reached!
% 11.60/2.55 % (905084)------------------------------
% 11.60/2.55 % (905084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.55 % (905084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.55 % (905084)CaDiCaL version: 2.1.3
% 11.60/2.55 % (905084)Termination reason: Instruction limit
% 11.60/2.55 % (905084)Termination phase: Saturation
% 11.60/2.55 % (905084)Time elapsed: 0.065 s
% 11.60/2.55 % (905084)Peak memory usage: 90 MB
% 11.60/2.55 % (905084)Instructions burned: 131 (million)
% 11.60/2.55 % (905083)Instruction limit reached!
% 11.60/2.55 % (905083)------------------------------
% 11.60/2.55 % (905083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.55 % (905083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.55 % (905083)CaDiCaL version: 2.1.3
% 11.60/2.55 % (905083)Termination reason: Instruction limit
% 11.60/2.55 % (905083)Termination phase: Saturation
% 11.60/2.55 % (905083)Time elapsed: 0.074 s
% 11.60/2.55 % (905083)Peak memory usage: 90 MB
% 11.60/2.55 % (905083)Instructions burned: 139 (million)
% 11.60/2.55 % (905086)lrs+10_1_sil=8000:sp=occurrence:random_seed=2414677010:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.60/2.55 % (905086)Instruction limit reached!
% 11.60/2.55 % (905086)------------------------------
% 11.60/2.55 % (905086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.60/2.55 % (905086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.60/2.55 % (905086)CaDiCaL version: 2.1.3
% 11.60/2.55 % (905086)Termination reason: Instruction limit
% 11.60/2.55 % (905086)Termination phase: Saturation
% 11.60/2.55 % (905086)Time elapsed: 0.076 s
% 11.60/2.55 % (905086)Peak memory usage: 91 MB
% 11.60/2.55 % (905086)Instructions burned: 286 (million)
% 11.60/2.55 % (905093)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3251551984:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.59/3.53 % (905094)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3914981009:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.59/3.53 % (905081)------------------------------
% 18.59/3.53 % (905081)------------------------------
% 18.59/3.53 % (905096)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=1296921704:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.59/3.53 % (905093)Instruction limit reached!
% 18.59/3.53 % (905093)------------------------------
% 18.59/3.53 % (905093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/3.53 % (905093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/3.53 % (905093)CaDiCaL version: 2.1.3
% 18.59/3.53 % (905093)Termination reason: Instruction limit
% 18.59/3.53 % (905093)Termination phase: Saturation
% 18.59/3.53 % (905093)Time elapsed: 0.079 s
% 18.59/3.53 % (905093)Peak memory usage: 90 MB
% 18.59/3.53 % (905093)Instructions burned: 159 (million)
% 18.59/3.53 % (905096)Instruction limit reached!
% 18.59/3.53 % (905096)------------------------------
% 18.59/3.53 % (905096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/3.53 % (905096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/3.53 % (905096)CaDiCaL version: 2.1.3
% 18.59/3.53 % (905096)Termination reason: Instruction limit
% 18.59/3.53 % (905096)Termination phase: Saturation
% 18.59/3.53 % (905096)Time elapsed: 0.062 s
% 18.59/3.53 % (905096)Peak memory usage: 95 MB
% 18.59/3.53 % (905096)Instructions burned: 249 (million)
% 18.59/3.53 % (905099)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3469367038:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 18.59/3.53 % (905094)Instruction limit reached!
% 18.59/3.53 % (905094)------------------------------
% 18.59/3.53 % (905094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/3.53 % (905094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/3.53 % (905094)CaDiCaL version: 2.1.3
% 18.59/3.53 % (905094)Termination reason: Instruction limit
% 18.59/3.53 % (905094)Termination phase: Saturation
% 18.59/3.53 % (905094)Time elapsed: 0.190 s
% 18.59/3.53 % (905094)Peak memory usage: 91 MB
% 18.59/3.53 % (905094)Instructions burned: 326 (million)
% 18.59/3.53 % (905101)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2665219704:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.59/3.53 % (905102)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3075892200:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.59/3.53 % (905102)Instruction limit reached!
% 18.59/3.53 % (905102)------------------------------
% 18.59/3.53 % (905102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/3.53 % (905102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/3.53 % (905102)CaDiCaL version: 2.1.3
% 18.59/3.53 % (905102)Termination reason: Instruction limit
% 18.59/3.53 % (905102)Termination phase: Saturation
% 18.59/3.53 % (905102)Time elapsed: 0.031 s
% 18.59/3.53 % (905102)Peak memory usage: 90 MB
% 18.59/3.53 % (905102)Instructions burned: 116 (million)
% 18.59/3.53 % (905099)Instruction limit reached!
% 18.59/3.53 % (905099)------------------------------
% 18.59/3.53 % (905099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/3.53 % (905099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/3.53 % (905099)CaDiCaL version: 2.1.3
% 18.59/3.53 % (905099)Termination reason: Instruction limit
% 18.59/3.53 % (905099)Termination phase: Saturation
% 18.59/3.53 % (905099)Time elapsed: 0.150 s
% 18.59/3.53 % (905099)Peak memory usage: 90 MB
% 18.59/3.53 % (905099)Instructions burned: 294 (million)
% 18.59/3.53 % (905104)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4020590984:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.59/3.53 % (905104)Refutation not found, incomplete strategy
% 18.59/3.53 % (905104)------------------------------
% 18.59/3.53 % (905104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.59/3.53 % (905104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.59/3.53 % (905104)CaDiCaL version: 2.1.3
% 18.59/3.53 % (905104)Termination reason: Refutation not found, incomplete strategy
% 18.59/3.53 % (905104)Time elapsed: 0.033 s
% 31.80/5.36 % (905104)Peak memory usage: 89 MB
% 31.80/5.36 % (905104)Instructions burned: 69 (million)
% 31.80/5.36 % (905107)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1884170082:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 31.80/5.36 % (905107)Instruction limit reached!
% 31.80/5.36 % (905107)------------------------------
% 31.80/5.36 % (905107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.80/5.36 % (905107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.80/5.36 % (905107)CaDiCaL version: 2.1.3
% 31.80/5.36 % (905107)Termination reason: Instruction limit
% 31.80/5.36 % (905107)Termination phase: Saturation
% 31.80/5.36 % (905107)Time elapsed: 0.027 s
% 31.80/5.36 % (905107)Peak memory usage: 89 MB
% 31.80/5.36 % (905107)Instructions burned: 115 (million)
% 31.80/5.36 % (905108)lrs+10_1_sil=8000:sp=occurrence:random_seed=801056918:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 31.80/5.36 % (905111)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3874914692:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 31.80/5.36 % (905111)Refutation not found, incomplete strategy
% 31.80/5.36 % (905111)------------------------------
% 31.80/5.36 % (905111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.80/5.36 % (905111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.80/5.36 % (905111)CaDiCaL version: 2.1.3
% 31.80/5.36 % (905111)Termination reason: Refutation not found, incomplete strategy
% 31.80/5.36 % (905111)Time elapsed: 0.014 s
% 31.80/5.36 % (905111)Peak memory usage: 90 MB
% 31.80/5.36 % (905111)Instructions burned: 49 (million)
% 31.80/5.36 % (905104)------------------------------
% 31.80/5.36 % (905104)------------------------------
% 31.80/5.36 % (905111)------------------------------
% 31.80/5.36 % (905111)------------------------------
% 31.80/5.36 % (905114)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2166918562:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 31.80/5.36 % (905115)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2231088595:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 31.80/5.36 % (905115)Instruction limit reached!
% 31.80/5.36 % (905115)------------------------------
% 31.80/5.36 % (905115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.80/5.36 % (905115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.80/5.36 % (905115)CaDiCaL version: 2.1.3
% 31.80/5.36 % (905115)Termination reason: Instruction limit
% 31.80/5.36 % (905115)Termination phase: Saturation
% 31.80/5.36 % (905115)Time elapsed: 0.036 s
% 31.80/5.36 % (905115)Peak memory usage: 93 MB
% 31.80/5.36 % (905115)Instructions burned: 136 (million)
% 31.80/5.36 % (905108)Instruction limit reached!
% 31.80/5.36 % (905108)------------------------------
% 31.80/5.36 % (905108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.80/5.36 % (905108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.80/5.36 % (905108)CaDiCaL version: 2.1.3
% 31.80/5.36 % (905108)Termination reason: Instruction limit
% 31.80/5.36 % (905108)Termination phase: Saturation
% 31.80/5.36 % (905108)Time elapsed: 0.443 s
% 31.80/5.36 % (905108)Peak memory usage: 95 MB
% 31.80/5.36 % (905108)Instructions burned: 909 (million)
% 31.80/5.36 % (905118)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1845213751:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 31.80/5.36 % (905119)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3121327011:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 31.80/5.36 % (905118)Instruction limit reached!
% 31.80/5.36 % (905118)------------------------------
% 31.80/5.36 % (905118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.80/5.36 % (905118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.80/5.36 % (905118)CaDiCaL version: 2.1.3
% 31.80/5.36 % (905118)Termination reason: Instruction limit
% 31.80/5.36 % (905118)Termination phase: Saturation
% 31.80/5.36 % (905118)Time elapsed: 0.173 s
% 31.80/5.36 % (905118)Peak memory usage: 95 MB
% 31.80/5.36 % (905118)Instructions burned: 596 (million)
% 31.80/5.36 % (905122)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=2405272479:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 70.84/10.86 % (905122)Instruction limit reached!
% 70.84/10.86 % (905122)------------------------------
% 70.84/10.86 % (905122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.84/10.86 % (905122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.84/10.86 % (905122)CaDiCaL version: 2.1.3
% 70.84/10.86 % (905122)Termination reason: Instruction limit
% 70.84/10.86 % (905122)Termination phase: Saturation
% 70.84/10.86 % (905122)Time elapsed: 0.033 s
% 70.84/10.86 % (905122)Peak memory usage: 92 MB
% 70.84/10.86 % (905122)Instructions burned: 125 (million)
% 70.84/10.86 % (905124)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2392971724:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 70.84/10.86 % (905124)Instruction limit reached!
% 70.84/10.86 % (905124)------------------------------
% 70.84/10.86 % (905124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.84/10.86 % (905124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.84/10.86 % (905124)CaDiCaL version: 2.1.3
% 70.84/10.86 % (905124)Termination reason: Instruction limit
% 70.84/10.86 % (905124)Termination phase: Saturation
% 70.84/10.86 % (905124)Time elapsed: 0.070 s
% 70.84/10.86 % (905124)Peak memory usage: 91 MB
% 70.84/10.86 % (905124)Instructions burned: 135 (million)
% 70.84/10.86 % (905101)Instruction limit reached!
% 70.84/10.86 % (905101)------------------------------
% 70.84/10.86 % (905101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.84/10.86 % (905101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.84/10.86 % (905101)CaDiCaL version: 2.1.3
% 70.84/10.86 % (905101)Termination reason: Instruction limit
% 70.84/10.86 % (905101)Termination phase: Saturation
% 70.84/10.86 % (905101)Time elapsed: 1.377 s
% 70.84/10.86 % (905101)Peak memory usage: 138 MB
% 70.84/10.86 % (905101)Instructions burned: 2350 (million)
% 70.84/10.86 % (905126)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2940943903:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 70.84/10.86 % (905126)Refutation not found, incomplete strategy
% 70.84/10.86 % (905126)------------------------------
% 70.84/10.86 % (905126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.84/10.86 % (905126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.84/10.86 % (905126)CaDiCaL version: 2.1.3
% 70.84/10.86 % (905126)Termination reason: Refutation not found, incomplete strategy
% 70.84/10.86 % (905126)Time elapsed: 0.005 s
% 70.84/10.86 % (905126)Peak memory usage: 89 MB
% 70.84/10.86 % (905126)Instructions burned: 7 (million)
% 70.84/10.86 % (905127)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3592126273:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 70.84/10.86 % (905127)Refutation not found, incomplete strategy
% 70.84/10.86 % (905127)------------------------------
% 70.84/10.86 % (905127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.84/10.86 % (905127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.84/10.86 % (905127)CaDiCaL version: 2.1.3
% 70.84/10.86 % (905127)Termination reason: Refutation not found, incomplete strategy
% 70.84/10.86 % (905127)Time elapsed: 0.009 s
% 70.84/10.86 % (905127)Peak memory usage: 89 MB
% 70.84/10.86 % (905127)Instructions burned: 16 (million)
% 70.84/10.86 % (905126)------------------------------
% 70.84/10.86 % (905126)------------------------------
% 70.84/10.86 % (905127)------------------------------
% 70.84/10.86 % (905127)------------------------------
% 70.84/10.86 % (905130)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=1055214446:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 70.84/10.86 % (905131)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=125619228:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 70.84/10.86 % (905131)Instruction limit reached!
% 70.84/10.86 % (905131)------------------------------
% 70.84/10.86 % (905131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.84/10.86 % (905131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.84/10.86 % (905131)CaDiCaL version: 2.1.3
% 80.28/12.18 % (905131)Termination reason: Instruction limit
% 80.28/12.18 % (905131)Termination phase: Saturation
% 80.28/12.18 % (905131)Time elapsed: 0.076 s
% 80.28/12.18 % (905131)Peak memory usage: 92 MB
% 80.28/12.18 % (905131)Instructions burned: 151 (million)
% 80.28/12.18 % (905114)Instruction limit reached!
% 80.28/12.18 % (905114)------------------------------
% 80.28/12.18 % (905114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.28/12.18 % (905114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.28/12.18 % (905114)CaDiCaL version: 2.1.3
% 80.28/12.18 % (905114)Termination reason: Instruction limit
% 80.28/12.18 % (905114)Termination phase: Saturation
% 80.28/12.18 % (905114)Time elapsed: 1.601 s
% 80.28/12.18 % (905114)Peak memory usage: 144 MB
% 80.28/12.18 % (905114)Instructions burned: 5203 (million)
% 80.28/12.18 % (905134)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3507503974:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 80.28/12.18 % (905135)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3636822761:i=667:av=off:fsr=off_2971 on theBenchmark for (2971ds/667Mi)
% 80.28/12.18 % (905135)Refutation not found, incomplete strategy
% 80.28/12.18 % (905135)------------------------------
% 80.28/12.18 % (905135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.28/12.18 % (905135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.28/12.18 % (905135)CaDiCaL version: 2.1.3
% 80.28/12.18 % (905135)Termination reason: Refutation not found, incomplete strategy
% 80.28/12.18 % (905135)Time elapsed: 0.016 s
% 80.28/12.18 % (905135)Peak memory usage: 90 MB
% 80.28/12.18 % (905135)Instructions burned: 62 (million)
% 80.28/12.18 % (905135)------------------------------
% 80.28/12.18 % (905135)------------------------------
% 80.28/12.18 % (905138)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=3732109775:s2a=on:i=185:s2at=1.8:fdi=4_2968 on theBenchmark for (2968ds/185Mi)
% 80.28/12.18 % (905138)Instruction limit reached!
% 80.28/12.18 % (905138)------------------------------
% 80.28/12.18 % (905138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.28/12.18 % (905138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.28/12.18 % (905138)CaDiCaL version: 2.1.3
% 80.28/12.18 % (905138)Termination reason: Instruction limit
% 80.28/12.18 % (905138)Termination phase: Saturation
% 80.28/12.18 % (905138)Time elapsed: 0.094 s
% 80.28/12.18 % (905138)Peak memory usage: 93 MB
% 80.28/12.18 % (905138)Instructions burned: 186 (million)
% 80.28/12.18 % (905140)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=129770327:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2966 on theBenchmark for (2966ds/193Mi)
% 80.28/12.18 % (905140)Instruction limit reached!
% 80.28/12.18 % (905140)------------------------------
% 80.28/12.18 % (905140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.28/12.18 % (905140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.28/12.18 % (905140)CaDiCaL version: 2.1.3
% 80.28/12.18 % (905140)Termination reason: Instruction limit
% 80.28/12.18 % (905140)Termination phase: Saturation
% 80.28/12.18 % (905140)Time elapsed: 0.102 s
% 80.28/12.18 % (905140)Peak memory usage: 90 MB
% 80.28/12.18 % (905140)Instructions burned: 194 (million)
% 80.28/12.18 % (905142)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3123043651:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2963 on theBenchmark for (2963ds/4850Mi)
% 80.28/12.18 % (905142)Refutation not found, incomplete strategy
% 80.28/12.18 % (905142)------------------------------
% 80.28/12.18 % (905142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.28/12.18 % (905142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.28/12.18 % (905142)CaDiCaL version: 2.1.3
% 80.28/12.18 % (905142)Termination reason: Refutation not found, incomplete strategy
% 80.28/12.18 % (905142)Time elapsed: 0.025 s
% 80.28/12.18 % (905142)Peak memory usage: 90 MB
% 80.28/12.18 % (905142)Instructions burned: 50 (million)
% 80.28/12.18 % (905142)------------------------------
% 80.28/12.18 % (905142)------------------------------
% 80.28/12.18 % (905144)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2120958485:i=12111:sd=1:ss=included_2959 on theBenchmark for (2959ds/12111Mi)
% 80.28/12.18 % (905130)Instruction limit reached!
% 80.28/12.18 % (905130)------------------------------
% 106.13/16.01 % (905130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.13/16.01 % (905130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.13/16.01 % (905130)CaDiCaL version: 2.1.3
% 106.13/16.01 % (905130)Termination reason: Instruction limit
% 106.13/16.01 % (905130)Termination phase: Saturation
% 106.13/16.01 % (905130)Time elapsed: 1.984 s
% 106.13/16.01 % (905130)Peak memory usage: 144 MB
% 106.13/16.01 % (905130)Instructions burned: 6061 (million)
% 106.13/16.01 % (905146)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1667437327:i=319:kws=precedence:fsr=off_2954 on theBenchmark for (2954ds/319Mi)
% 106.13/16.01 % (905146)Instruction limit reached!
% 106.13/16.01 % (905146)------------------------------
% 106.13/16.01 % (905146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.13/16.01 % (905146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.13/16.01 % (905146)CaDiCaL version: 2.1.3
% 106.13/16.01 % (905146)Termination reason: Instruction limit
% 106.13/16.01 % (905146)Termination phase: Saturation
% 106.13/16.01 % (905146)Time elapsed: 0.086 s
% 106.13/16.01 % (905146)Peak memory usage: 95 MB
% 106.13/16.01 % (905146)Instructions burned: 320 (million)
% 106.13/16.01 % (905148)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1479585768:i=2064:ep=RST_2952 on theBenchmark for (2952ds/2064Mi)
% 106.13/16.01 % (905148)Instruction limit reached!
% 106.13/16.01 % (905148)------------------------------
% 106.13/16.01 % (905148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.13/16.01 % (905148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.13/16.01 % (905148)CaDiCaL version: 2.1.3
% 106.13/16.01 % (905148)Termination reason: Instruction limit
% 106.13/16.01 % (905148)Termination phase: Saturation
% 106.13/16.01 % (905148)Time elapsed: 0.516 s
% 106.13/16.01 % (905148)Peak memory usage: 96 MB
% 106.13/16.01 % (905148)Instructions burned: 2067 (million)
% 106.13/16.01 % (905150)dis-1011_128_sil=32000:random_seed=1277231502:i=3706:ep=RST:av=off_2946 on theBenchmark for (2946ds/3706Mi)
% 106.13/16.01 % (905150)Instruction limit reached!
% 106.13/16.01 % (905150)------------------------------
% 106.13/16.01 % (905150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.13/16.01 % (905150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.13/16.01 % (905150)CaDiCaL version: 2.1.3
% 106.13/16.01 % (905150)Termination reason: Instruction limit
% 106.13/16.01 % (905150)Termination phase: Saturation
% 106.13/16.01 % (905150)Time elapsed: 0.664 s
% 106.13/16.01 % (905150)Peak memory usage: 90 MB
% 106.13/16.01 % (905150)Instructions burned: 3721 (million)
% 106.13/16.01 % (905152)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=651483178:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2938 on theBenchmark for (2938ds/757Mi)
% 106.13/16.01 % (905152)Instruction limit reached!
% 106.13/16.01 % (905152)------------------------------
% 106.13/16.01 % (905152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.13/16.01 % (905152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.13/16.01 % (905152)CaDiCaL version: 2.1.3
% 106.13/16.01 % (905152)Termination reason: Instruction limit
% 106.13/16.01 % (905152)Termination phase: Saturation
% 106.13/16.01 % (905152)Time elapsed: 0.253 s
% 106.13/16.01 % (905152)Peak memory usage: 99 MB
% 106.13/16.01 % (905152)Instructions burned: 759 (million)
% 106.13/16.01 % (905154)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3223695130:i=13913:ss=axioms:sgt=8_2934 on theBenchmark for (2934ds/13913Mi)
% 106.13/16.01 % (905119)Instruction limit reached!
% 106.13/16.01 % (905119)------------------------------
% 106.13/16.01 % (905119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 106.13/16.01 % (905119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 106.13/16.01 % (905119)CaDiCaL version: 2.1.3
% 106.13/16.01 % (905119)Termination reason: Instruction limit
% 106.13/16.01 % (905119)Termination phase: Saturation
% 106.13/16.01 % (905119)Time elapsed: 6.866 s
% 106.13/16.01 % (905119)Peak memory usage: 179 MB
% 106.13/16.01 % (905119)Instructions burned: 13193 (million)
% 106.13/16.01 % (905156)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1245779445:i=9925:aac=none_2916 on theBenchmark for (2916ds/9925Mi)
% 106.13/16.01 % (905144)Instruction limit reached!
% 106.13/16.01 % (905144)------------------------------
% 106.13/16.01 % (905144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.19/18.79 % (905144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.19/18.79 % (905144)CaDiCaL version: 2.1.3
% 126.19/18.79 % (905144)Termination reason: Instruction limit
% 126.19/18.79 % (905144)Termination phase: Saturation
% 126.19/18.79 % (905144)Time elapsed: 5.773 s
% 126.19/18.79 % (905144)Peak memory usage: 216 MB
% 126.19/18.79 % (905144)Instructions burned: 12113 (million)
% 126.19/18.79 % (905158)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2201431953:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2899 on theBenchmark for (2899ds/2479Mi)
% 126.19/18.79 % (905158)Refutation not found, incomplete strategy
% 126.19/18.79 % (905158)------------------------------
% 126.19/18.79 % (905158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.19/18.79 % (905158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.19/18.79 % (905158)CaDiCaL version: 2.1.3
% 126.19/18.79 % (905158)Termination reason: Refutation not found, incomplete strategy
% 126.19/18.79 % (905158)Time elapsed: 0.013 s
% 126.19/18.79 % (905158)Peak memory usage: 89 MB
% 126.19/18.79 % (905158)Instructions burned: 22 (million)
% 126.19/18.79 % (905134)Instruction limit reached!
% 126.19/18.79 % (905134)------------------------------
% 126.19/18.79 % (905134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.19/18.79 % (905134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.19/18.79 % (905134)CaDiCaL version: 2.1.3
% 126.19/18.79 % (905134)Termination reason: Instruction limit
% 126.19/18.79 % (905134)Termination phase: Saturation
% 126.19/18.79 % (905134)Time elapsed: 7.525 s
% 126.19/18.79 % (905134)Peak memory usage: 173 MB
% 126.19/18.79 % (905134)Instructions burned: 14157 (million)
% 126.19/18.79 % (905158)------------------------------
% 126.19/18.79 % (905158)------------------------------
% 126.19/18.79 % (905154)Instruction limit reached!
% 126.19/18.79 % (905154)------------------------------
% 126.19/18.79 % (905154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.19/18.79 % (905154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.19/18.79 % (905154)CaDiCaL version: 2.1.3
% 126.19/18.79 % (905154)Termination reason: Instruction limit
% 126.19/18.79 % (905154)Termination phase: Saturation
% 126.19/18.79 % (905154)Time elapsed: 3.806 s
% 126.19/18.79 % (905154)Peak memory usage: 181 MB
% 126.19/18.79 % (905154)Instructions burned: 13917 (million)
% 126.19/18.79 % (905160)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3413536311:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2896 on theBenchmark for (2896ds/440Mi)
% 126.19/18.79 % (905162)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=2336212880:cts=off:i=3034:av=off:er=known:fsd=on_2895 on theBenchmark for (2895ds/3034Mi)
% 126.19/18.79 % (905161)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3944323030:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2895 on theBenchmark for (2895ds/11145Mi)
% 126.19/18.79 % (905160)Instruction limit reached!
% 126.19/18.79 % (905160)------------------------------
% 126.19/18.79 % (905160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.19/18.79 % (905160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.19/18.79 % (905160)CaDiCaL version: 2.1.3
% 126.19/18.79 % (905160)Termination reason: Instruction limit
% 126.19/18.79 % (905160)Termination phase: Saturation
% 126.19/18.79 % (905160)Time elapsed: 0.224 s
% 126.19/18.79 % (905160)Peak memory usage: 92 MB
% 126.19/18.79 % (905160)Instructions burned: 441 (million)
% 126.19/18.79 % (905166)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3221897816:st=2:s2a=on:i=524:s2at=2:ss=axioms_2892 on theBenchmark for (2892ds/524Mi)
% 126.19/18.79 % (905166)Instruction limit reached!
% 126.19/18.79 % (905166)------------------------------
% 126.19/18.79 % (905166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.19/18.79 % (905166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.19/18.79 % (905166)CaDiCaL version: 2.1.3
% 126.19/18.79 % (905166)Termination reason: Instruction limit
% 126.19/18.79 % (905166)Termination phase: Saturation
% 126.19/18.79 % (905166)Time elapsed: 0.240 s
% 126.19/18.79 % (905166)Peak memory usage: 92 MB
% 126.19/18.79 % (905166)Instructions burned: 524 (million)
% 126.19/18.79 % (905168)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=45921855:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2888 on theBenchmark for (2888ds/1016Mi)
% 145.16/21.32 % (905168)Refutation not found, incomplete strategy
% 145.16/21.32 % (905168)------------------------------
% 145.16/21.32 % (905168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.16/21.32 % (905168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.16/21.32 % (905168)CaDiCaL version: 2.1.3
% 145.16/21.32 % (905168)Termination reason: Refutation not found, incomplete strategy
% 145.16/21.32 % (905168)Time elapsed: 0.002 s
% 145.16/21.32 % (905168)Peak memory usage: 89 MB
% 145.16/21.32 % (905168)Instructions burned: 2 (million)
% 145.16/21.32 % (905162)Instruction limit reached!
% 145.16/21.32 % (905162)------------------------------
% 145.16/21.32 % (905162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.16/21.32 % (905162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.16/21.32 % (905162)CaDiCaL version: 2.1.3
% 145.16/21.32 % (905162)Termination reason: Instruction limit
% 145.16/21.32 % (905162)Termination phase: Saturation
% 145.16/21.32 % (905162)Time elapsed: 0.905 s
% 145.16/21.32 % (905162)Peak memory usage: 136 MB
% 145.16/21.32 % (905162)Instructions burned: 3036 (million)
% 145.16/21.32 % (905168)------------------------------
% 145.16/21.32 % (905168)------------------------------
% 145.16/21.32 % (905170)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2662146061:i=14123:bd=preordered:ins=4_2885 on theBenchmark for (2885ds/14123Mi)
% 145.16/21.32 % (905171)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3960667789:i=5781:kws=precedence:bd=all:rawr=on_2884 on theBenchmark for (2884ds/5781Mi)
% 145.16/21.32 % (905156)Instruction limit reached!
% 145.16/21.32 % (905156)------------------------------
% 145.16/21.32 % (905156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.16/21.32 % (905156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.16/21.32 % (905156)CaDiCaL version: 2.1.3
% 145.16/21.32 % (905156)Termination reason: Instruction limit
% 145.16/21.32 % (905156)Termination phase: Saturation
% 145.16/21.32 % (905156)Time elapsed: 5.015 s
% 145.16/21.32 % (905156)Peak memory usage: 171 MB
% 145.16/21.32 % (905156)Instructions burned: 9926 (million)
% 145.16/21.32 % (905174)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=2840830529:i=2448:gtgl=5:bd=preordered:gtg=all_2864 on theBenchmark for (2864ds/2448Mi)
% 145.16/21.32 % (905171)Instruction limit reached!
% 145.16/21.32 % (905171)------------------------------
% 145.16/21.32 % (905171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.16/21.32 % (905171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.16/21.32 % (905171)CaDiCaL version: 2.1.3
% 145.16/21.32 % (905171)Termination reason: Instruction limit
% 145.16/21.32 % (905171)Termination phase: Saturation
% 145.16/21.32 % (905171)Time elapsed: 2.778 s
% 145.16/21.32 % (905171)Peak memory usage: 117 MB
% 145.16/21.32 % (905171)Instructions burned: 5782 (million)
% 145.16/21.32 % (905170)Instruction limit reached!
% 145.16/21.32 % (905170)------------------------------
% 145.16/21.32 % (905170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.16/21.32 % (905170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.16/21.32 % (905170)CaDiCaL version: 2.1.3
% 145.16/21.32 % (905170)Termination reason: Instruction limit
% 145.16/21.32 % (905170)Termination phase: Saturation
% 145.16/21.32 % (905170)Time elapsed: 3.053 s
% 145.16/21.32 % (905170)Peak memory usage: 149 MB
% 145.16/21.32 % (905170)Instructions burned: 14125 (million)
% 145.16/21.32 % (905176)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=4224005246:i=3223:kws=precedence:fgj=on:av=off_2854 on theBenchmark for (2854ds/3223Mi)
% 145.16/21.32 % (905177)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=1468151337:st=5.6:i=2033:sd=3:ss=axioms_2853 on theBenchmark for (2853ds/2033Mi)
% 145.16/21.32 % (905174)Instruction limit reached!
% 145.16/21.32 % (905174)------------------------------
% 145.16/21.32 % (905174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 145.16/21.32 % (905174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 145.16/21.32 % (905174)CaDiCaL version: 2.1.3
% 145.16/21.32 % (905174)Termination reason: Instruction limit
% 145.16/21.32 % (905174)Termination phase: Saturation
% 145.16/21.32 % (905174)Time elapsed: 1.415 s
% 152.29/22.33 % (905174)Peak memory usage: 137 MB
% 152.29/22.33 % (905174)Instructions burned: 2450 (million)
% 152.29/22.33 % (905180)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3038504589:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2848 on theBenchmark for (2848ds/2055Mi)
% 152.29/22.33 % (905177)Instruction limit reached!
% 152.29/22.33 % (905177)------------------------------
% 152.29/22.33 % (905177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.29/22.33 % (905177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.29/22.33 % (905177)CaDiCaL version: 2.1.3
% 152.29/22.33 % (905177)Termination reason: Instruction limit
% 152.29/22.33 % (905177)Termination phase: Saturation
% 152.29/22.33 % (905177)Time elapsed: 0.655 s
% 152.29/22.33 % (905177)Peak memory usage: 135 MB
% 152.29/22.33 % (905177)Instructions burned: 2036 (million)
% 152.29/22.33 % (905182)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=1543545731:i=21611:sd=3:ss=axioms_2845 on theBenchmark for (2845ds/21611Mi)
% 152.29/22.33 % (905180)Instruction limit reached!
% 152.29/22.33 % (905180)------------------------------
% 152.29/22.33 % (905180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.29/22.33 % (905180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.29/22.33 % (905180)CaDiCaL version: 2.1.3
% 152.29/22.33 % (905180)Termination reason: Instruction limit
% 152.29/22.33 % (905180)Termination phase: Saturation
% 152.29/22.33 % (905180)Time elapsed: 1.146 s
% 152.29/22.33 % (905180)Peak memory usage: 132 MB
% 152.29/22.33 % (905180)Instructions burned: 2057 (million)
% 152.29/22.33 % (905184)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=952381548:i=4835:sd=13:ss=axioms:sgt=23_2835 on theBenchmark for (2835ds/4835Mi)
% 152.29/22.33 % (905176)Instruction limit reached!
% 152.29/22.33 % (905176)------------------------------
% 152.29/22.33 % (905176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.29/22.33 % (905176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.29/22.33 % (905176)CaDiCaL version: 2.1.3
% 152.29/22.33 % (905176)Termination reason: Instruction limit
% 152.29/22.33 % (905176)Termination phase: Saturation
% 152.29/22.33 % (905176)Time elapsed: 2.039 s
% 152.29/22.33 % (905176)Peak memory usage: 143 MB
% 152.29/22.33 % (905176)Instructions burned: 3224 (million)
% 152.29/22.33 % (905186)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=1707382202:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2832 on theBenchmark for (2832ds/797Mi)
% 152.29/22.33 % (905161)Instruction limit reached!
% 152.29/22.33 % (905161)------------------------------
% 152.29/22.33 % (905161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.29/22.33 % (905161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.29/22.33 % (905161)CaDiCaL version: 2.1.3
% 152.29/22.33 % (905161)Termination reason: Instruction limit
% 152.29/22.33 % (905161)Termination phase: Saturation
% 152.29/22.33 % (905161)Time elapsed: 6.316 s
% 152.29/22.33 % (905161)Peak memory usage: 203 MB
% 152.29/22.33 % (905161)Instructions burned: 11146 (million)
% 152.29/22.33 % (905188)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3742207695:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2830 on theBenchmark for (2830ds/2326Mi)
% 152.29/22.33 % (905186)Instruction limit reached!
% 152.29/22.33 % (905186)------------------------------
% 152.29/22.33 % (905186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.29/22.33 % (905186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 152.29/22.33 % (905186)CaDiCaL version: 2.1.3
% 152.29/22.33 % (905186)Termination reason: Instruction limit
% 152.29/22.33 % (905186)Termination phase: Saturation
% 152.29/22.33 % (905186)Time elapsed: 0.293 s
% 152.29/22.33 % (905186)Peak memory usage: 89 MB
% 152.29/22.33 % (905186)Instructions burned: 799 (million)
% 152.29/22.33 % (905190)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=819633853:i=6038:nm=6_2828 on theBenchmark for (2828ds/6038Mi)
% 152.29/22.33 % (905188)Instruction limit reached!
% 152.29/22.33 % (905188)------------------------------
% 152.29/22.33 % (905188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 152.29/22.33 % (905188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905188)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905188)Termination reason: Instruction limit
% 143.47/24.44 % (905188)Termination phase: Saturation
% 143.47/24.44 % (905188)Time elapsed: 0.877 s
% 143.47/24.44 % (905188)Peak memory usage: 92 MB
% 143.47/24.44 % (905188)Instructions burned: 2328 (million)
% 143.47/24.44 % (905190)Refutation not found, incomplete strategy
% 143.47/24.44 % (905190)------------------------------
% 143.47/24.44 % (905190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905190)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905190)Termination reason: Refutation not found, incomplete strategy
% 143.47/24.44 % (905190)Time elapsed: 0.632 s
% 143.47/24.44 % (905190)Peak memory usage: 133 MB
% 143.47/24.44 % (905190)Instructions burned: 992 (million)
% 143.47/24.44 % (905192)lrs+10_1_sil=32000:sp=occurrence:random_seed=2754894532:st=2:i=33334:sd=3:ss=included:sgt=32_2820 on theBenchmark for (2820ds/33334Mi)
% 143.47/24.44 % (905190)------------------------------
% 143.47/24.44 % (905190)------------------------------
% 143.47/24.44 % (905194)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1800858358:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2817 on theBenchmark for (2817ds/1008Mi)
% 143.47/24.44 % (905194)Instruction limit reached!
% 143.47/24.44 % (905194)------------------------------
% 143.47/24.44 % (905194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905194)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905194)Termination reason: Instruction limit
% 143.47/24.44 % (905194)Termination phase: Saturation
% 143.47/24.44 % (905194)Time elapsed: 0.460 s
% 143.47/24.44 % (905194)Peak memory usage: 110 MB
% 143.47/24.44 % (905194)Instructions burned: 1010 (million)
% 143.47/24.44 % (905184)Instruction limit reached!
% 143.47/24.44 % (905184)------------------------------
% 143.47/24.44 % (905184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905184)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905184)Termination reason: Instruction limit
% 143.47/24.44 % (905184)Termination phase: Saturation
% 143.47/24.44 % (905184)Time elapsed: 2.236 s
% 143.47/24.44 % (905184)Peak memory usage: 115 MB
% 143.47/24.44 % (905184)Instructions burned: 4837 (million)
% 143.47/24.44 % (905196)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=3391617883:i=8327:s2at=5:bd=preordered_2811 on theBenchmark for (2811ds/8327Mi)
% 143.47/24.44 % (905197)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=268164043:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2811 on theBenchmark for (2811ds/1083Mi)
% 143.47/24.44 % (905197)Instruction limit reached!
% 143.47/24.44 % (905197)------------------------------
% 143.47/24.44 % (905197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905197)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905197)Termination reason: Instruction limit
% 143.47/24.44 % (905197)Termination phase: Saturation
% 143.47/24.44 % (905197)Time elapsed: 0.512 s
% 143.47/24.44 % (905197)Peak memory usage: 116 MB
% 143.47/24.44 % (905197)Instructions burned: 1085 (million)
% 143.47/24.44 % (905200)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=969093043:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2804 on theBenchmark for (2804ds/1084Mi)
% 143.47/24.44 % (905200)Instruction limit reached!
% 143.47/24.44 % (905200)------------------------------
% 143.47/24.44 % (905200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905200)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905200)Termination reason: Instruction limit
% 143.47/24.44 % (905200)Termination phase: Saturation
% 143.47/24.44 % (905200)Time elapsed: 0.586 s
% 143.47/24.44 % (905200)Peak memory usage: 96 MB
% 143.47/24.44 % (905200)Instructions burned: 1085 (million)
% 143.47/24.44 % (905202)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=3274063105:i=6995:s2at=5:gtg=all_2797 on theBenchmark for (2797ds/6995Mi)
% 143.47/24.44 % (905182)Instruction limit reached!
% 143.47/24.44 % (905182)------------------------------
% 143.47/24.44 % (905182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905182)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905182)Termination reason: Instruction limit
% 143.47/24.44 % (905182)Termination phase: Saturation
% 143.47/24.44 % (905182)Time elapsed: 4.883 s
% 143.47/24.44 % (905182)Peak memory usage: 145 MB
% 143.47/24.44 % (905182)Instructions burned: 21612 (million)
% 143.47/24.44 % (905204)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=3856201172:st=2:i=6225:sd=15:ss=axioms_2795 on theBenchmark for (2795ds/6225Mi)
% 143.47/24.44 % (905204)Refutation not found, incomplete strategy
% 143.47/24.44 % (905204)------------------------------
% 143.47/24.44 % (905204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905204)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905204)Termination reason: Refutation not found, incomplete strategy
% 143.47/24.44 % (905204)Time elapsed: 0.022 s
% 143.47/24.44 % (905204)Peak memory usage: 91 MB
% 143.47/24.44 % (905204)Instructions burned: 80 (million)
% 143.47/24.44 % (905204)------------------------------
% 143.47/24.44 % (905204)------------------------------
% 143.47/24.44 % (905206)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2521226827:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2792 on theBenchmark for (2792ds/3372Mi)
% 143.47/24.44 [W927 08:03:01.888038645 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 143.47/24.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 143.47/24.44 [W927 08:03:01.888062734 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 143.47/24.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 143.47/24.44 [W927 08:03:01.888082498 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 143.47/24.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 143.47/24.44 [W927 08:03:01.888088670 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 143.47/24.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 143.47/24.44 [W927 08:03:01.888102188 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 143.47/24.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 143.47/24.44 [W927 08:03:01.888108728 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 143.47/24.44 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 143.47/24.44 % (905206)Refutation not found, incomplete strategy
% 143.47/24.44 % (905206)------------------------------
% 143.47/24.44 % (905206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905206)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905206)Termination reason: Refutation not found, incomplete strategy
% 143.47/24.44 % (905206)Time elapsed: 0.308 s
% 143.47/24.44 % (905206)Peak memory usage: 128 MB
% 143.47/24.44 % (905206)Instructions burned: 861 (million)
% 143.47/24.44 % (905206)------------------------------
% 143.47/24.44 % (905206)------------------------------
% 143.47/24.44 % (905208)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=2599418199:st=2.3:i=26457:sd=10:ss=included:sgt=8_2786 on theBenchmark for (2786ds/26457Mi)
% 143.47/24.44 % (905196)Instruction limit reached!
% 143.47/24.44 % (905196)------------------------------
% 143.47/24.44 % (905196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 143.47/24.44 % (905196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 143.47/24.44 % (905196)CaDiCaL version: 2.1.3
% 143.47/24.44 % (905196)Termination reason: Instruction limit
% 143.47/24.44 % (905196)Termination phase: Saturation
% 143.47/24.44 % (905196)Time elapsed: 3.846 s
% 143.47/24.44 % (905196)Peak memory usage: 150 MB
% 143.47/24.44 % (905196)Instructions burned: 8327 (million)
% 143.47/24.44 % (905210)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=4281019253:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2771 on theBenchmark for (2771ds/13494Mi)
% 143.47/24.44 % (905078)First to succeed.
% 143.47/24.44 % (905078)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-905073"
% 143.47/24.44 % (905078)Refutation found. Thanks to Tanya!
% 143.47/24.44 % SZS status ContradictoryAxioms for theBenchmark
% 143.47/24.44 % SZS output start Proof for theBenchmark
% See solution above
% 167.64/24.64 % (905078)------------------------------
% 167.64/24.64 % (905078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 167.64/24.64 % (905078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 167.64/24.64 % (905078)CaDiCaL version: 2.1.3
% 167.64/24.64 % (905078)Termination reason: Refutation
% 167.64/24.64 % (905078)Time elapsed: 23.087 s
% 167.64/24.64 % (905078)Peak memory usage: 292 MB
% 167.64/24.64 % (905078)Instructions burned: 42838 (million)
% 167.64/24.64 % (905078)------------------------------
% 167.64/24.64 % (905078)------------------------------
% 167.64/24.64 % (905073)Success in time 23.588 s
% 167.64/24.64 % Vampire exiting
%------------------------------------------------------------------------------