%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO345+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 : n016.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 09:52:33 AM UTC 2026
% Result : ContradictoryAxioms 17.86s 3.27s
% Output : Refutation 18.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 16
% Syntax : Number of formulae : 193 ( 40 unt; 4 def)
% Number of atoms : 1429 ( 530 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 2144 ( 908 ~;1097 |; 125 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 600 ( 0 sgn 572 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(406, 0)') ).
fof(f9,axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X0] :
( vd1401 = X0
& rpoint(X0) )
& ? [X1] :
( vd1400 = X1
& rpoint(X1) )
& ? [X2] :
( vd1399 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f10,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(f13,axiom,
( ron(vd1399,vskolem1416)
& ron(vd1401,vskolem1416)
& rline(vskolem1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))))') ).
fof(f14,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(f15,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(f18,axiom,
rS(vd1401,vd1409,vd1406),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f48,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(f56,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(f65,axiom,
! [X0,X1,X2,X3] :
( ( rS(X0,X1,X2)
& X2 = X3
& rline(X3)
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f76,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f137,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,[],[f10]) ).
fof(f138,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,[],[f137]) ).
fof(f141,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,[],[f14]) ).
fof(f142,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,[],[f141]) ).
fof(f143,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,[],[f15]) ).
fof(f144,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,[],[f143]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f199]) ).
fof(f201,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,[],[f48]) ).
fof(f202,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,[],[f201]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f218,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,[],[f217]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f235]) ).
fof(f365,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = sK1
& rpoint(sK1)
& vd1400 = sK2
& rpoint(sK2)
& vd1399 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f9]) ).
fof(f366,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,[],[f142]) ).
fof(f367,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,[],[f366]) ).
fof(f368,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,[],[f144]) ).
fof(f369,plain,
! [X0,X1] :
( ( ron(X1,sK4(X0,X1))
& ron(X0,sK4(X0,X1))
& rline(sK4(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f368]) ).
fof(f452,plain,
rpoint(vd1409),
inference(cnf_transformation,[],[f8]) ).
fof(f453,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f365]) ).
fof(f454,plain,
vd1399 = sK3,
inference(cnf_transformation,[],[f365]) ).
fof(f455,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f365]) ).
fof(f456,plain,
vd1400 = sK2,
inference(cnf_transformation,[],[f365]) ).
fof(f457,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f365]) ).
fof(f458,plain,
vd1401 = sK1,
inference(cnf_transformation,[],[f365]) ).
fof(f459,plain,
vd1399 != vd1400,
inference(cnf_transformation,[],[f365]) ).
fof(f460,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f365]) ).
fof(f461,plain,
vd1401 != vd1400,
inference(cnf_transformation,[],[f365]) ).
fof(f462,plain,
rline(vd1407),
inference(cnf_transformation,[],[f365]) ).
fof(f463,plain,
ron(vd1399,vd1406),
inference(cnf_transformation,[],[f365]) ).
fof(f464,plain,
ron(vd1400,vd1406),
inference(cnf_transformation,[],[f365]) ).
fof(f465,plain,
vd1406 = vd1407,
inference(cnf_transformation,[],[f365]) ).
fof(f466,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,[],[f138]) ).
fof(f469,plain,
rline(vskolem1416),
inference(cnf_transformation,[],[f13]) ).
fof(f470,plain,
ron(vd1401,vskolem1416),
inference(cnf_transformation,[],[f13]) ).
fof(f471,plain,
ron(vd1399,vskolem1416),
inference(cnf_transformation,[],[f13]) ).
fof(f472,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,[],[f367]) ).
fof(f473,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,[],[f367]) ).
fof(f474,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,[],[f367]) ).
fof(f475,plain,
! [X3,X0,X1,X4] :
( rline(sK4(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f369]) ).
fof(f476,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK4(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f369]) ).
fof(f477,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK4(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f369]) ).
fof(f480,plain,
rS(vd1401,vd1409,vd1406),
inference(cnf_transformation,[],[f18]) ).
fof(f530,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f200]) ).
fof(f533,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,[],[f202]) ).
fof(f567,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,[],[f218]) ).
fof(f582,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f236]) ).
fof(f605,plain,
v0 = vd684,
inference(cnf_transformation,[],[f76]) ).
fof(f737,plain,
ron(sK2,vd1407),
inference(definition_unfolding,[],[f464,f456,f465]) ).
fof(f738,plain,
ron(sK3,vd1407),
inference(definition_unfolding,[],[f463,f454,f465]) ).
fof(f739,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f461,f458,f456]) ).
fof(f740,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f460,f454,f458]) ).
fof(f741,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f459,f454,f456]) ).
fof(f743,plain,
ron(sK3,vskolem1416),
inference(definition_unfolding,[],[f471,f454]) ).
fof(f744,plain,
ron(sK1,vskolem1416),
inference(definition_unfolding,[],[f470,f458]) ).
fof(f745,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,[],[f474,f605]) ).
fof(f746,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,[],[f473,f605]) ).
fof(f747,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,[],[f472,f605]) ).
fof(f750,plain,
rS(sK1,vd1409,vd1407),
inference(definition_unfolding,[],[f480,f458,f465]) ).
fof(f779,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,[],[f466]) ).
fof(f780,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,[],[f779]) ).
fof(f781,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,[],[f780]) ).
fof(f782,plain,
! [X6,X7,X4,X5] :
( ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| ~ rline(X4)
| X4 = X5
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f781]) ).
fof(f783,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,[],[f745]) ).
fof(f784,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,[],[f783]) ).
fof(f785,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,[],[f784]) ).
fof(f786,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| vd684 != vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rR(X1,X3,X5)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f785]) ).
fof(f787,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,[],[f746]) ).
fof(f788,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,[],[f787]) ).
fof(f789,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,[],[f788]) ).
fof(f790,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,[],[f789]) ).
fof(f791,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,[],[f747]) ).
fof(f792,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,[],[f791]) ).
fof(f793,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,[],[f792]) ).
fof(f794,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| vd684 = vangle(X3,X1,X5)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f793]) ).
fof(f795,plain,
! [X3,X0,X4] :
( ron(X3,sK4(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f477]) ).
fof(f796,plain,
! [X3,X4] :
( ron(X3,sK4(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f795]) ).
fof(f797,plain,
! [X3,X0,X4] :
( ron(X0,sK4(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f476]) ).
fof(f798,plain,
! [X3,X4] :
( ron(X4,sK4(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f797]) ).
fof(f799,plain,
! [X3,X0,X4] :
( rline(sK4(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f475]) ).
fof(f800,plain,
! [X3,X4] :
( rline(sK4(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f799]) ).
fof(f967,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f530]) ).
fof(f968,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f967]) ).
fof(f969,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f968]) ).
fof(f970,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f969]) ).
fof(f974,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,[],[f533]) ).
fof(f975,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f974]) ).
fof(f976,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f975]) ).
fof(f977,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f976]) ).
fof(f1062,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,[],[f567]) ).
fof(f1063,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,[],[f1062]) ).
fof(f1064,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,[],[f1063]) ).
fof(f1065,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,[],[f1064]) ).
fof(f1066,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,[],[f1065]) ).
fof(f1067,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,[],[f1066]) ).
fof(f1068,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rline(X7)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1067]) ).
fof(f1105,plain,
! [X3,X0,X1,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X1,X3)
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f582]) ).
fof(f1106,plain,
! [X3,X0,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X4,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1105]) ).
fof(f1107,plain,
! [X3,X4,X5] :
( ~ rS(X5,X4,X3)
| ~ ron(X5,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1106]) ).
fof(f1569,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f977]) ).
fof(f1648,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X2,vd1407)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| rR(X0,X1,X2)
| ~ ron(X1,vd1407)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X0,X5)
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f1068,f462]) ).
fof(f1788,plain,
! [X2,X0,X1] :
( ~ ron(X0,vskolem1416)
| vangle(X0,X1,X2) != vd684
| ~ ron(X1,vskolem1416)
| X1 = X2
| X0 = X1
| ~ rR(X1,X0,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f786,f469]) ).
fof(f1795,plain,
! [X0,X1] :
( vd684 != vangle(sK3,X0,X1)
| ~ ron(X0,vskolem1416)
| X0 = X1
| sK3 = X0
| ~ rR(X0,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(resolution,[],[f1788,f743]) ).
fof(f1796,plain,
! [X0,X1] :
( ~ ron(X0,vskolem1416)
| vd684 != vangle(sK3,X0,X1)
| X0 = X1
| sK3 = X0
| ~ rR(X0,sK3,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1795,f453]) ).
fof(f1933,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1407)
| ~ ron(X0,vd1407)
| ~ ron(X2,X1)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1407 = X1
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f782,f462]) ).
fof(f2050,definition,
( spl55_36
<=> ron(sK1,vd1407) ),
introduced(definition,[new_symbols(definition,[spl55_36])],[avatar_definition]) ).
fof(f2051,plain,
( ~ ron(sK1,vd1407)
| spl55_36 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f2069,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X4,sK4(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X4)
| X0 = X1
| ~ ron(X3,sK4(X1,X0))
| ~ ron(X2,sK4(X1,X0))
| X2 = X4
| X2 = X3
| vd684 = vangle(X3,X2,X4)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(resolution,[],[f800,f794]) ).
fof(f2097,definition,
( spl55_42
<=> ron(sK2,vskolem1416) ),
introduced(definition,[new_symbols(definition,[spl55_42])],[avatar_definition]) ).
fof(f2098,plain,
( ~ ron(sK2,vskolem1416)
| spl55_42 ),
inference(avatar_component_clause,[],[f2097]) ).
fof(f2158,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,X0)
| sK1 = X0
| sK1 = sK3
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1796,f744]) ).
fof(f2160,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,X0)
| sK1 = X0
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2158,f740]) ).
fof(f2161,plain,
! [X0] :
( vd684 != vangle(sK3,sK1,X0)
| sK1 = X0
| ~ rR(sK1,sK3,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2160,f457]) ).
fof(f2177,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X2,X3,X0)
| X0 = X1
| ~ ron(X3,sK4(X1,X0))
| ~ ron(X2,sK4(X1,X0))
| X0 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X0)
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2069,f796]) ).
fof(f2180,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK4(X1,X0))
| ~ rpoint(X1)
| rR(X2,X3,X0)
| X0 = X1
| ~ ron(X3,sK4(X1,X0))
| ~ rpoint(X0)
| X0 = X2
| X2 = X3
| vd684 = vangle(X3,X2,X0)
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2177]) ).
fof(f2182,plain,
! [X2,X0,X1] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| X0 = X2
| ~ ron(X1,sK4(X0,X2))
| ~ rpoint(X2)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X2
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f2180,f798]) ).
fof(f2183,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK4(X0,X2))
| rR(X0,X1,X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2)
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f2182]) ).
fof(f2189,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| vd684 = vangle(X1,X0,X1)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f2183,f796]) ).
fof(f2192,plain,
! [X0,X1] :
( rR(X0,X1,X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| vd684 = vangle(X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f2189]) ).
fof(f2193,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f2192,f1569]) ).
fof(f2197,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vd684 = vangle(sK3,X0,sK3) ),
inference(resolution,[],[f2193,f453]) ).
fof(f2230,plain,
( sK1 = sK3
| vd684 = vangle(sK3,sK1,sK3) ),
inference(resolution,[],[f2197,f457]) ).
fof(f2234,plain,
vd684 = vangle(sK3,sK1,sK3),
inference(forward_subsumption_resolution,[],[f2230,f740]) ).
fof(f2239,plain,
( vd684 != vd684
| sK1 = sK3
| ~ rR(sK1,sK3,sK3)
| ~ rpoint(sK3) ),
inference(superposition,[],[f2161,f2234]) ).
fof(f2242,plain,
( sK1 = sK3
| ~ rR(sK1,sK3,sK3)
| ~ rpoint(sK3) ),
inference(trivial_inequality_removal,[],[f2239]) ).
fof(f2243,plain,
( ~ rR(sK1,sK3,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f2242,f740]) ).
fof(f2244,plain,
~ rR(sK1,sK3,sK3),
inference(forward_subsumption_resolution,[],[f2243,f453]) ).
fof(f6685,plain,
( ~ ron(sK1,vd1407)
| ~ rline(vd1407)
| ~ rpoint(vd1409)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1107,f750]) ).
fof(f12891,definition,
( spl55_800
<=> vd684 = vangle(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl55_800])],[avatar_definition]) ).
fof(f12892,plain,
( vd684 != vangle(sK3,sK1,sK2)
| spl55_800 ),
inference(avatar_component_clause,[],[f12891]) ).
fof(f12902,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| sK2 = X0
| X0 = X2
| X0 = X3
| X0 = X1
| rR(X0,X3,sK2)
| ~ ron(X3,vd1407)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| vangle(X1,X0,X3) = vangle(X2,X0,sK2)
| ~ rline(X4)
| ~ rpoint(sK2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1648,f737]) ).
fof(f12903,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1407)
| sK2 = X0
| X0 = X2
| X0 = X3
| X0 = X1
| rR(X0,X3,sK2)
| rR(X0,X1,X2)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| vangle(X1,X0,X3) = vangle(X2,X0,sK2)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f12902,f455]) ).
fof(f12922,plain,
! [X0,X1] :
( ~ ron(X0,vd1407)
| ~ ron(sK3,X1)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1407 = X1
| sK3 = X0
| ~ rpoint(X0)
| ~ rpoint(sK3) ),
inference(resolution,[],[f1933,f738]) ).
fof(f12925,plain,
! [X0,X1] :
( ~ ron(X0,vd1407)
| ~ ron(sK3,X1)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1407 = X1
| sK3 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f12922,f453]) ).
fof(f12948,plain,
! [X2,X3,X0,X1] :
( sK2 = X0
| X0 = X1
| sK3 = X0
| X0 = X2
| rR(X0,sK3,sK2)
| rR(X0,X2,X1)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| vangle(X1,X0,sK2) = vangle(X2,X0,sK3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f12903,f738]) ).
fof(f12952,plain,
! [X2,X3,X0,X1] :
( ~ rline(X3)
| X0 = X1
| sK3 = X0
| X0 = X2
| rR(X0,sK3,sK2)
| rR(X0,X2,X1)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| vangle(X1,X0,sK2) = vangle(X2,X0,sK3)
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f12948,f453]) ).
fof(f12998,plain,
! [X2,X0,X1] :
( ~ ron(X1,vskolem1416)
| sK3 = X0
| X0 = X2
| rR(X0,sK3,sK2)
| rR(X0,X2,X1)
| X0 = X1
| ~ ron(X2,vskolem1416)
| ~ ron(X0,vskolem1416)
| vangle(X1,X0,sK2) = vangle(X2,X0,sK3)
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f12952,f469]) ).
fof(f13111,plain,
! [X0,X1] :
( sK3 = X0
| X0 = X1
| rR(X0,sK3,sK2)
| rR(X0,X1,sK3)
| sK3 = X0
| ~ ron(X1,vskolem1416)
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK2) = vangle(X1,X0,sK3)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f12998,f743]) ).
fof(f13112,plain,
! [X0,X1] :
( sK3 = X0
| X0 = X1
| rR(X0,sK3,sK2)
| rR(X0,X1,sK3)
| ~ ron(X1,vskolem1416)
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK2) = vangle(X1,X0,sK3)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f13111]) ).
fof(f13113,plain,
! [X0,X1] :
( ~ ron(X1,vskolem1416)
| X0 = X1
| rR(X0,sK3,sK2)
| rR(X0,X1,sK3)
| sK3 = X0
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK2) = vangle(X1,X0,sK3)
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f13112,f453]) ).
fof(f13116,plain,
! [X0] :
( sK3 = X0
| rR(X0,sK3,sK2)
| rR(X0,sK3,sK3)
| sK3 = X0
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(resolution,[],[f13113,f743]) ).
fof(f13117,plain,
! [X0] :
( sK3 = X0
| rR(X0,sK3,sK2)
| rR(X0,sK3,sK3)
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f13116]) ).
fof(f13118,plain,
! [X0] :
( ~ ron(X0,vskolem1416)
| rR(X0,sK3,sK2)
| rR(X0,sK3,sK3)
| sK3 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
| sK2 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f13117,f453]) ).
fof(f13250,plain,
( ~ ron(sK1,vd1407)
| ~ rpoint(vd1409)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f6685,f462]) ).
fof(f13253,plain,
( ~ ron(sK1,vd1407)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f13250,f452]) ).
fof(f13255,definition,
( spl55_809
<=> vd1407 = vskolem1416 ),
introduced(definition,[new_symbols(definition,[spl55_809])],[avatar_definition]) ).
fof(f13256,plain,
( vd1407 = vskolem1416
| ~ spl55_809 ),
inference(avatar_component_clause,[],[f13255]) ).
fof(f13259,plain,
~ ron(sK1,vd1407),
inference(forward_subsumption_resolution,[],[f13253,f457]) ).
fof(f13261,plain,
~ spl55_36,
inference(avatar_split_clause,[],[f13259,f2050]) ).
fof(f13334,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| vd1407 = X0
| sK2 = sK3
| ~ rpoint(sK2) ),
inference(resolution,[],[f12925,f737]) ).
fof(f13336,plain,
! [X0] :
( ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| vd1407 = X0
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f13334,f741]) ).
fof(f13337,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| vd1407 = X0 ),
inference(forward_subsumption_resolution,[],[f13336,f455]) ).
fof(f13340,plain,
( ~ ron(sK2,vskolem1416)
| ~ ron(sK3,vskolem1416)
| vd1407 = vskolem1416 ),
inference(resolution,[],[f13337,f469]) ).
fof(f13696,plain,
( rR(sK1,sK3,sK2)
| rR(sK1,sK3,sK3)
| sK1 = sK3
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| ~ rpoint(sK1) ),
inference(resolution,[],[f13118,f744]) ).
fof(f13698,plain,
( rR(sK1,sK3,sK2)
| sK1 = sK3
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f13696,f2244]) ).
fof(f13699,plain,
( rR(sK1,sK3,sK2)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f13698,f740]) ).
fof(f13700,plain,
( rR(sK1,sK3,sK2)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f13699,f739]) ).
fof(f13701,plain,
( rR(sK1,sK3,sK2)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3) ),
inference(forward_subsumption_resolution,[],[f13700,f457]) ).
fof(f13702,plain,
( vd684 = vangle(sK3,sK1,sK2)
| rR(sK1,sK3,sK2) ),
inference(forward_demodulation,[],[f13701,f2234]) ).
fof(f13703,plain,
( rR(sK1,sK3,sK2)
| spl55_800 ),
inference(forward_subsumption_resolution,[],[f13702,f12892]) ).
fof(f13705,plain,
( $false
| spl55_36
| spl55_800 ),
inference(unit_resulting_resolution,[],[f970,f453,f457,f455,f462,f2051,f738,f737,f13703]) ).
fof(f13716,plain,
( spl55_36
| spl55_800 ),
inference(avatar_contradiction_clause,[],[f13705]) ).
fof(f13757,plain,
( vd684 = vangle(sK3,sK1,sK2)
| ~ spl55_800 ),
inference(avatar_component_clause,[],[f12891]) ).
fof(f13759,plain,
( $false
| spl55_42
| ~ spl55_800 ),
inference(unit_resulting_resolution,[],[f790,f457,f453,f455,f469,f743,f2098,f744,f740,f739,f13757]) ).
fof(f13768,plain,
( spl55_42
| ~ spl55_800 ),
inference(avatar_contradiction_clause,[],[f13759]) ).
fof(f13778,plain,
( ~ ron(sK2,vskolem1416)
| vd1407 = vskolem1416 ),
inference(forward_subsumption_resolution,[],[f13340,f743]) ).
fof(f13779,plain,
( spl55_809
| ~ spl55_42 ),
inference(avatar_split_clause,[],[f13778,f2097,f13255]) ).
fof(f13782,plain,
( ron(sK1,vd1407)
| ~ spl55_809 ),
inference(superposition,[],[f744,f13256]) ).
fof(f13847,plain,
( $false
| spl55_36
| ~ spl55_809 ),
inference(forward_subsumption_resolution,[],[f13782,f2051]) ).
fof(f13848,plain,
( spl55_36
| ~ spl55_809 ),
inference(avatar_contradiction_clause,[],[f13847]) ).
cnf(s1047,plain,
~ spl55_36,
inference(sat_conversion,[],[f13261]) ).
cnf(s1073,plain,
( spl55_36
| spl55_800 ),
inference(sat_conversion,[],[f13716]) ).
cnf(s1076,plain,
( spl55_42
| ~ spl55_800 ),
inference(sat_conversion,[],[f13768]) ).
cnf(s1077,plain,
( ~ spl55_42
| spl55_809 ),
inference(sat_conversion,[],[f13779]) ).
cnf(s1078,plain,
( spl55_36
| ~ spl55_809 ),
inference(sat_conversion,[],[f13848]) ).
cnf(s1080,plain,
~ spl55_809,
inference(rat,[],[s1078,s1047]) ).
cnf(s1081,plain,
spl55_800,
inference(rat,[],[s1073,s1047]) ).
cnf(s1083,plain,
~ spl55_42,
inference(rat,[],[s1077,s1080]) ).
cnf(s1084,plain,
$false,
inference(rat,[],[s1076,s1081,s1083]) ).
fof(f13849,plain,
$false,
inference(avatar_sat_refutation,[],[s1084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO345+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:14:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.42 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
% 10.52/2.30 % (2311793)Detected formulas, will run a generic FOF schedule.
% 10.52/2.30 % (2311804)dis-21_1_sil=8000:lcm=predicate:random_seed=3431771163:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.52/2.30 % (2311799)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=3953758091:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.52/2.30 % (2311798)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=2974164330:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.52/2.30 % (2311803)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1522980596:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.52/2.30 % (2311800)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=2648548639:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.52/2.30 % (2311801)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3020532338:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.52/2.30 % (2311802)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4241524408:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.52/2.30 % (2311801)Refutation not found, incomplete strategy
% 10.52/2.30 % (2311801)------------------------------
% 10.52/2.30 % (2311801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.30 % (2311801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.30 % (2311801)CaDiCaL version: 2.1.3
% 10.52/2.30 % (2311801)Termination reason: Refutation not found, incomplete strategy
% 10.52/2.30 % (2311801)Time elapsed: 0.010 s
% 10.52/2.30 % (2311801)Peak memory usage: 89 MB
% 10.52/2.30 % (2311801)Instructions burned: 17 (million)
% 10.52/2.30 % (2311802)Instruction limit reached!
% 10.52/2.30 % (2311802)------------------------------
% 10.52/2.30 % (2311802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.30 % (2311802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.30 % (2311802)CaDiCaL version: 2.1.3
% 10.52/2.30 % (2311802)Termination reason: Instruction limit
% 10.52/2.30 % (2311802)Termination phase: Saturation
% 10.52/2.30 % (2311802)Time elapsed: 0.064 s
% 10.52/2.30 % (2311802)Peak memory usage: 89 MB
% 10.52/2.30 % (2311802)Instructions burned: 120 (million)
% 10.52/2.30 % (2311804)Instruction limit reached!
% 10.52/2.30 % (2311804)------------------------------
% 10.52/2.30 % (2311804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.30 % (2311804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.30 % (2311804)CaDiCaL version: 2.1.3
% 10.52/2.30 % (2311804)Termination reason: Instruction limit
% 10.52/2.30 % (2311804)Termination phase: Saturation
% 10.52/2.30 % (2311804)Time elapsed: 0.065 s
% 10.52/2.30 % (2311804)Peak memory usage: 89 MB
% 10.52/2.30 % (2311804)Instructions burned: 129 (million)
% 10.52/2.30 % (2311803)Instruction limit reached!
% 10.52/2.30 % (2311803)------------------------------
% 10.52/2.30 % (2311803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.52/2.30 % (2311803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.52/2.30 % (2311803)CaDiCaL version: 2.1.3
% 10.52/2.30 % (2311803)Termination reason: Instruction limit
% 10.52/2.30 % (2311803)Termination phase: Saturation
% 10.52/2.30 % (2311803)Time elapsed: 0.084 s
% 10.52/2.30 % (2311803)Peak memory usage: 90 MB
% 10.52/2.30 % (2311803)Instructions burned: 139 (million)
% 10.52/2.30 % (2311812)lrs+10_1_sil=8000:sp=occurrence:random_seed=1442046009:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.52/2.30 % (2311813)lrs+10_1_sil=32000:urr=on:br=off:random_seed=573133257:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.52/2.30 % (2311814)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2428591874:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.52/2.30 % (2311801)------------------------------
% 10.52/2.30 % (2311801)------------------------------
% 10.52/2.30 % (2311813)Instruction limit reached!
% 10.52/2.30 % (2311813)------------------------------
% 10.52/2.30 % (2311813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/3.11 % (2311813)CaDiCaL version: 2.1.3
% 16.77/3.11 % (2311813)Termination reason: Instruction limit
% 16.77/3.11 % (2311813)Termination phase: Saturation
% 16.77/3.11 % (2311813)Time elapsed: 0.078 s
% 16.77/3.11 % (2311813)Peak memory usage: 90 MB
% 16.77/3.11 % (2311813)Instructions burned: 160 (million)
% 16.77/3.11 % (2311814)Instruction limit reached!
% 16.77/3.11 % (2311814)------------------------------
% 16.77/3.11 % (2311814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/3.11 % (2311814)CaDiCaL version: 2.1.3
% 16.77/3.11 % (2311814)Termination reason: Instruction limit
% 16.77/3.11 % (2311814)Termination phase: Saturation
% 16.77/3.11 % (2311814)Time elapsed: 0.088 s
% 16.77/3.11 % (2311814)Peak memory usage: 90 MB
% 16.77/3.11 % (2311814)Instructions burned: 326 (million)
% 16.77/3.11 % (2311812)Instruction limit reached!
% 16.77/3.11 % (2311812)------------------------------
% 16.77/3.11 % (2311812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/3.11 % (2311812)CaDiCaL version: 2.1.3
% 16.77/3.11 % (2311812)Termination reason: Instruction limit
% 16.77/3.11 % (2311812)Termination phase: Saturation
% 16.77/3.11 % (2311812)Time elapsed: 0.151 s
% 16.77/3.11 % (2311812)Peak memory usage: 91 MB
% 16.77/3.11 % (2311812)Instructions burned: 285 (million)
% 16.77/3.11 % (2311818)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=2982348101:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.77/3.11 % (2311820)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2256951755:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 16.77/3.11 % (2311819)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=75814538:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.77/3.11 % (2311818)Instruction limit reached!
% 16.77/3.11 % (2311818)------------------------------
% 16.77/3.11 % (2311818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/3.11 % (2311818)CaDiCaL version: 2.1.3
% 16.77/3.11 % (2311818)Termination reason: Instruction limit
% 16.77/3.11 % (2311818)Termination phase: Saturation
% 16.77/3.11 % (2311818)Time elapsed: 0.117 s
% 16.77/3.11 % (2311818)Peak memory usage: 93 MB
% 16.77/3.11 % (2311818)Instructions burned: 250 (million)
% 16.77/3.11 % (2311821)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3957835551:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 16.77/3.11 % (2311819)Instruction limit reached!
% 16.77/3.11 % (2311819)------------------------------
% 16.77/3.11 % (2311819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/3.11 % (2311819)CaDiCaL version: 2.1.3
% 16.77/3.11 % (2311819)Termination reason: Instruction limit
% 16.77/3.11 % (2311819)Termination phase: Saturation
% 16.77/3.11 % (2311819)Time elapsed: 0.150 s
% 16.77/3.11 % (2311819)Peak memory usage: 89 MB
% 16.77/3.11 % (2311819)Instructions burned: 295 (million)
% 16.77/3.11 % (2311821)Instruction limit reached!
% 16.77/3.11 % (2311821)------------------------------
% 16.77/3.11 % (2311821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.77/3.11 % (2311821)CaDiCaL version: 2.1.3
% 16.77/3.11 % (2311821)Termination reason: Instruction limit
% 16.77/3.11 % (2311821)Termination phase: Saturation
% 16.77/3.11 % (2311821)Time elapsed: 0.060 s
% 16.77/3.11 % (2311821)Peak memory usage: 90 MB
% 16.77/3.11 % (2311821)Instructions burned: 114 (million)
% 16.77/3.11 % (2311825)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2411885114:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 16.77/3.11 % (2311825)Refutation not found, incomplete strategy
% 16.77/3.11 % (2311825)------------------------------
% 16.77/3.11 % (2311825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.77/3.11 % (2311825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311825)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311825)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.27 % (2311825)Time elapsed: 0.022 s
% 17.86/3.27 % (2311825)Peak memory usage: 89 MB
% 17.86/3.27 % (2311825)Instructions burned: 42 (million)
% 17.86/3.27 % (2311827)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=320466683:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 17.86/3.27 % (2311828)lrs+10_1_sil=8000:sp=occurrence:random_seed=1613650414:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 17.86/3.27 % (2311827)Instruction limit reached!
% 17.86/3.27 % (2311827)------------------------------
% 17.86/3.27 % (2311827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311827)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311827)Termination reason: Instruction limit
% 17.86/3.27 % (2311827)Termination phase: Saturation
% 17.86/3.27 % (2311827)Time elapsed: 0.048 s
% 17.86/3.27 % (2311827)Peak memory usage: 89 MB
% 17.86/3.27 % (2311827)Instructions burned: 116 (million)
% 17.86/3.27 % (2311832)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=568451467:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 17.86/3.27 % (2311825)------------------------------
% 17.86/3.27 % (2311825)------------------------------
% 17.86/3.27 % (2311832)Refutation not found, incomplete strategy
% 17.86/3.27 % (2311832)------------------------------
% 17.86/3.27 % (2311832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311832)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311832)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.27 % (2311832)Time elapsed: 0.020 s
% 17.86/3.27 % (2311832)Peak memory usage: 89 MB
% 17.86/3.27 % (2311832)Instructions burned: 36 (million)
% 17.86/3.27 % (2311834)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=932506380:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 17.86/3.27 % (2311832)------------------------------
% 17.86/3.27 % (2311832)------------------------------
% 17.86/3.27 % (2311820)Instruction limit reached!
% 17.86/3.27 % (2311820)------------------------------
% 17.86/3.27 % (2311820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311820)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311820)Termination reason: Instruction limit
% 17.86/3.27 % (2311820)Termination phase: Saturation
% 17.86/3.27 % (2311820)Time elapsed: 0.796 s
% 17.86/3.27 % (2311820)Peak memory usage: 140 MB
% 17.86/3.27 % (2311820)Instructions burned: 2353 (million)
% 17.86/3.27 % (2311828)Instruction limit reached!
% 17.86/3.27 % (2311828)------------------------------
% 17.86/3.27 % (2311828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311828)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311828)Termination reason: Instruction limit
% 17.86/3.27 % (2311828)Termination phase: Saturation
% 17.86/3.27 % (2311828)Time elapsed: 0.479 s
% 17.86/3.27 % (2311828)Peak memory usage: 97 MB
% 17.86/3.27 % (2311828)Instructions burned: 908 (million)
% 17.86/3.27 % (2311836)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1105338542:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 17.86/3.27 % (2311837)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3072053077:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 17.86/3.27 % (2311838)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1276552445:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 17.86/3.27 % (2311836)Instruction limit reached!
% 17.86/3.27 % (2311836)------------------------------
% 17.86/3.27 % (2311836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311836)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311836)Termination reason: Instruction limit
% 17.86/3.27 % (2311836)Termination phase: Saturation
% 17.86/3.27 % (2311836)Time elapsed: 0.067 s
% 17.86/3.27 % (2311836)Peak memory usage: 93 MB
% 17.86/3.27 % (2311836)Instructions burned: 135 (million)
% 17.86/3.27 % (2311837)Instruction limit reached!
% 17.86/3.27 % (2311837)------------------------------
% 17.86/3.27 % (2311837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311837)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311837)Termination reason: Instruction limit
% 17.86/3.27 % (2311837)Termination phase: Saturation
% 17.86/3.27 % (2311837)Time elapsed: 0.155 s
% 17.86/3.27 % (2311837)Peak memory usage: 92 MB
% 17.86/3.27 % (2311837)Instructions burned: 594 (million)
% 17.86/3.27 % (2311842)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=1599062808:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 17.86/3.27 % (2311843)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=444453823:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 17.86/3.27 % (2311842)Instruction limit reached!
% 17.86/3.27 % (2311842)------------------------------
% 17.86/3.27 % (2311842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311842)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311842)Termination reason: Instruction limit
% 17.86/3.27 % (2311842)Termination phase: Saturation
% 17.86/3.27 % (2311842)Time elapsed: 0.073 s
% 17.86/3.27 % (2311842)Peak memory usage: 90 MB
% 17.86/3.27 % (2311842)Instructions burned: 126 (million)
% 17.86/3.27 % (2311843)Instruction limit reached!
% 17.86/3.27 % (2311843)------------------------------
% 17.86/3.27 % (2311843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311843)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311843)Termination reason: Instruction limit
% 17.86/3.27 % (2311843)Termination phase: Saturation
% 17.86/3.27 % (2311843)Time elapsed: 0.044 s
% 17.86/3.27 % (2311843)Peak memory usage: 91 MB
% 17.86/3.27 % (2311843)Instructions burned: 135 (million)
% 17.86/3.27 % (2311847)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3350664998:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2981 on theBenchmark for (2981ds/431Mi)
% 17.86/3.27 % (2311846)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3611326323:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 17.86/3.27 % (2311847)Refutation not found, incomplete strategy
% 17.86/3.27 % (2311847)------------------------------
% 17.86/3.27 % (2311847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311847)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311847)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.27 % (2311847)Time elapsed: 0.004 s
% 17.86/3.27 % (2311847)Peak memory usage: 88 MB
% 17.86/3.27 % (2311847)Instructions burned: 11 (million)
% 17.86/3.27 % (2311846)Refutation not found, incomplete strategy
% 17.86/3.27 % (2311846)------------------------------
% 17.86/3.27 % (2311846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311846)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311846)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.27 % (2311846)Time elapsed: 0.013 s
% 17.86/3.27 % (2311846)Peak memory usage: 89 MB
% 17.86/3.27 % (2311846)Instructions burned: 26 (million)
% 17.86/3.27 % (2311847)------------------------------
% 17.86/3.27 % (2311847)------------------------------
% 17.86/3.27 % (2311846)------------------------------
% 17.86/3.27 % (2311846)------------------------------
% 17.86/3.27 % (2311850)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=1924852222:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 17.86/3.27 % (2311799)First to succeed.
% 17.86/3.27 % (2311799)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2311793"
% 17.86/3.27 % (2311851)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=4086398766:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2977 on theBenchmark for (2977ds/150Mi)
% 17.86/3.27 % (2311851)Instruction limit reached!
% 17.86/3.27 % (2311851)------------------------------
% 17.86/3.27 % (2311851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.27 % (2311851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.27 % (2311851)CaDiCaL version: 2.1.3
% 17.86/3.27 % (2311851)Termination reason: Instruction limit
% 17.86/3.27 % (2311851)Termination phase: Saturation
% 17.86/3.27 % (2311851)Time elapsed: 0.081 s
% 17.86/3.27 % (2311851)Peak memory usage: 92 MB
% 17.86/3.27 % (2311851)Instructions burned: 152 (million)
% 17.86/3.27 % (2311799)Refutation found. Thanks to Tanya!
% 17.86/3.27 % SZS status ContradictoryAxioms for theBenchmark
% 17.86/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 18.49/3.46 % (2311799)------------------------------
% 18.49/3.46 % (2311799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.49/3.46 % (2311799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.49/3.46 % (2311799)CaDiCaL version: 2.1.3
% 18.49/3.46 % (2311799)Termination reason: Refutation
% 18.49/3.46 % (2311799)Time elapsed: 2.118 s
% 18.49/3.46 % (2311799)Peak memory usage: 147 MB
% 18.49/3.46 % (2311799)Instructions burned: 3364 (million)
% 18.49/3.46 % (2311799)------------------------------
% 18.49/3.46 % (2311799)------------------------------
% 18.49/3.46 % (2311793)Success in time 2.554 s
% 18.49/3.46 % Vampire exiting
%------------------------------------------------------------------------------