%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO341+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:32 AM UTC 2026
% Result : ContradictoryAxioms 9.69s 3.30s
% Output : Refutation 17.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 14
% Syntax : Number of formulae : 178 ( 34 unt; 3 def)
% Number of atoms : 1375 ( 520 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 2046 ( 849 ~;1066 |; 118 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 584 ( 0 sgn 557 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
rS(vd1401,vd1409,vd1406),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).
fof(f7,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(406, 0)') ).
fof(f8,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/sandbox2/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(f23,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f24,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f25,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f30,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f34,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f35,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f49,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f53,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,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,[],[f160]) ).
fof(f162,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,[],[f25]) ).
fof(f163,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,[],[f162]) ).
fof(f172,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,[],[f30]) ).
fof(f173,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,[],[f172]) ).
fof(f180,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,[],[f34]) ).
fof(f181,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,[],[f180]) ).
fof(f182,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,[],[f35]) ).
fof(f183,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,[],[f182]) ).
fof(f210,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,[],[f49]) ).
fof(f211,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,[],[f210]) ).
fof(f348,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)],[f8]) ).
fof(f356,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,[],[f161]) ).
fof(f357,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,[],[f356]) ).
fof(f361,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,[],[f183]) ).
fof(f362,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))],[f361]) ).
fof(f430,plain,
rS(vd1401,vd1409,vd1406),
inference(cnf_transformation,[],[f6]) ).
fof(f431,plain,
rpoint(vd1409),
inference(cnf_transformation,[],[f7]) ).
fof(f432,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f348]) ).
fof(f433,plain,
vd1399 = sK3,
inference(cnf_transformation,[],[f348]) ).
fof(f434,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f348]) ).
fof(f435,plain,
vd1400 = sK2,
inference(cnf_transformation,[],[f348]) ).
fof(f436,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f348]) ).
fof(f437,plain,
vd1401 = sK1,
inference(cnf_transformation,[],[f348]) ).
fof(f438,plain,
vd1399 != vd1400,
inference(cnf_transformation,[],[f348]) ).
fof(f439,plain,
vd1399 != vd1401,
inference(cnf_transformation,[],[f348]) ).
fof(f440,plain,
vd1401 != vd1400,
inference(cnf_transformation,[],[f348]) ).
fof(f441,plain,
rline(vd1407),
inference(cnf_transformation,[],[f348]) ).
fof(f442,plain,
ron(vd1399,vd1406),
inference(cnf_transformation,[],[f348]) ).
fof(f443,plain,
ron(vd1400,vd1406),
inference(cnf_transformation,[],[f348]) ).
fof(f444,plain,
vd1406 = vd1407,
inference(cnf_transformation,[],[f348]) ).
fof(f468,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f159]) ).
fof(f469,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,[],[f357]) ).
fof(f470,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,[],[f357]) ).
fof(f472,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,[],[f163]) ).
fof(f479,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,[],[f173]) ).
fof(f485,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,[],[f181]) ).
fof(f487,plain,
! [X3,X0,X1,X4] :
( rline(sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f362]) ).
fof(f488,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f362]) ).
fof(f489,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK8(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f362]) ).
fof(f534,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,[],[f211]) ).
fof(f538,plain,
v0 = vd684,
inference(cnf_transformation,[],[f53]) ).
fof(f697,plain,
rS(sK1,vd1409,vd1407),
inference(definition_unfolding,[],[f430,f437,f444]) ).
fof(f698,plain,
ron(sK2,vd1407),
inference(definition_unfolding,[],[f443,f435,f444]) ).
fof(f699,plain,
ron(sK3,vd1407),
inference(definition_unfolding,[],[f442,f433,f444]) ).
fof(f700,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f440,f437,f435]) ).
fof(f701,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f439,f433,f437]) ).
fof(f702,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f438,f433,f435]) ).
fof(f704,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,[],[f470,f538]) ).
fof(f705,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,[],[f469,f538]) ).
fof(f821,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f468]) ).
fof(f822,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f821]) ).
fof(f823,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f822]) ).
fof(f824,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ron(X5,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f823]) ).
fof(f829,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,[],[f704]) ).
fof(f830,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,[],[f829]) ).
fof(f831,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,[],[f830]) ).
fof(f832,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,[],[f831]) ).
fof(f833,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,[],[f705]) ).
fof(f834,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,[],[f833]) ).
fof(f835,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,[],[f834]) ).
fof(f836,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,[],[f835]) ).
fof(f837,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,[],[f472]) ).
fof(f838,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,[],[f837]) ).
fof(f839,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,[],[f838]) ).
fof(f852,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,[],[f479]) ).
fof(f853,plain,
! [X3,X0,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X4,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f852]) ).
fof(f854,plain,
! [X3,X4,X5] :
( ~ rS(X5,X4,X3)
| ~ ron(X5,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f853]) ).
fof(f869,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,[],[f485]) ).
fof(f870,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f869]) ).
fof(f871,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f870]) ).
fof(f872,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f871]) ).
fof(f880,plain,
! [X3,X0,X4] :
( ron(X3,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f489]) ).
fof(f881,plain,
! [X3,X4] :
( ron(X3,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f880]) ).
fof(f882,plain,
! [X3,X0,X4] :
( ron(X0,sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f488]) ).
fof(f883,plain,
! [X3,X4] :
( ron(X4,sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f882]) ).
fof(f884,plain,
! [X3,X0,X4] :
( rline(sK8(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f487]) ).
fof(f885,plain,
! [X3,X4] :
( rline(sK8(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f884]) ).
fof(f1004,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,[],[f534]) ).
fof(f1005,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,[],[f1004]) ).
fof(f1006,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,[],[f1005]) ).
fof(f1007,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,[],[f1006]) ).
fof(f1008,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,[],[f1007]) ).
fof(f1009,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,[],[f1008]) ).
fof(f1010,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,[],[f1009]) ).
fof(f1501,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f872]) ).
fof(f1551,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK1 = X1
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,X1,sK1) = vangle(sK1,X1,X0) ),
inference(resolution,[],[f839,f436]) ).
fof(f1577,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(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f883,f1010]) ).
fof(f1578,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(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK8(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1577]) ).
fof(f1579,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(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f1578,f885]) ).
fof(f1700,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK8(X3,X2))
| ~ ron(X0,sK8(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK8(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f836,f881]) ).
fof(f1703,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK8(X3,X2))
| ~ ron(X0,sK8(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK8(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f1700]) ).
fof(f1705,plain,
! [X2,X3,X0,X1] :
( ~ ron(X1,sK8(X3,X2))
| vangle(X1,X0,X2) = vd684
| rR(X0,X1,X2)
| ~ ron(X0,sK8(X3,X2))
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f1703,f885]) ).
fof(f1759,plain,
! [X0] :
( sK1 = sK2
| ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK2,sK1) = vangle(sK1,sK2,X0) ),
inference(resolution,[],[f434,f1551]) ).
fof(f1770,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vangle(X0,sK2,sK1) = vangle(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[],[f1759,f700]) ).
fof(f1866,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK8(X2,X0))
| X0 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1705,f881]) ).
fof(f1869,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK8(X2,X0))
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1866]) ).
fof(f1870,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK8(X2,X0))
| vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1869,f1501]) ).
fof(f1872,plain,
! [X0,X1] :
( vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1870,f883]) ).
fof(f1873,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1872]) ).
fof(f1877,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vd684 = vangle(X0,sK2,X0) ),
inference(resolution,[],[f1873,f434]) ).
fof(f1904,plain,
( sK2 = sK3
| vd684 = vangle(sK3,sK2,sK3) ),
inference(resolution,[],[f1877,f432]) ).
fof(f1905,plain,
vd684 = vangle(sK3,sK2,sK3),
inference(forward_subsumption_resolution,[],[f1904,f702]) ).
fof(f2066,plain,
( sK1 = sK3
| vangle(sK3,sK2,sK1) = vangle(sK1,sK2,sK3) ),
inference(resolution,[],[f1770,f432]) ).
fof(f2067,plain,
vangle(sK3,sK2,sK1) = vangle(sK1,sK2,sK3),
inference(forward_subsumption_resolution,[],[f2066,f701]) ).
fof(f2650,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK1 = sK2
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(superposition,[],[f832,f2067]) ).
fof(f5846,plain,
( ~ ron(sK1,vd1407)
| ~ rline(vd1407)
| ~ rpoint(vd1409)
| ~ rpoint(sK1) ),
inference(resolution,[],[f854,f697]) ).
fof(f6704,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| sK2 = sK3
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f2650,f700]) ).
fof(f6733,plain,
( ~ ron(sK1,vd1407)
| ~ rpoint(vd1409)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f5846,f441]) ).
fof(f6832,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f6704,f702]) ).
fof(f6935,plain,
( ~ ron(sK1,vd1407)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f6733,f431]) ).
fof(f7027,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f6832,f436]) ).
fof(f7038,plain,
~ ron(sK1,vd1407),
inference(forward_subsumption_resolution,[],[f6935,f436]) ).
fof(f7132,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f7027,f432]) ).
fof(f7222,plain,
! [X0] :
( vd684 != vangle(sK1,sK2,sK3)
| ron(sK1,X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f7132,f434]) ).
fof(f7324,definition,
( spl54_185
<=> ! [X0] :
( ron(sK1,X0)
| ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl54_185])],[avatar_definition]) ).
fof(f7325,plain,
( ! [X0] :
( ~ ron(sK3,X0)
| ~ rline(X0)
| ron(sK1,X0)
| ~ ron(sK2,X0) )
| ~ spl54_185 ),
inference(avatar_component_clause,[],[f7324]) ).
fof(f7534,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| X0 = X1
| ~ ron(X4,sK8(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1579,f881]) ).
fof(f7537,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK8(X1,X0))
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ rpoint(X0)
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f7534]) ).
fof(f7602,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| X0 = X3
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f7537,f881]) ).
fof(f7605,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f7602]) ).
fof(f7606,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X2,X4)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f7605,f1501]) ).
fof(f7618,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK8(X4,X2))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK8(X4,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f7606,f881]) ).
fof(f7623,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK8(X4,X2))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK8(X4,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f7618]) ).
fof(f7625,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X1,sK8(X4,X2))
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| rR(X0,X1,X2)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f7623,f885]) ).
fof(f7640,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f7625,f883]) ).
fof(f7641,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| X0 = X1
| X1 = X3 ),
inference(duplicate_literal_removal,[],[f7640]) ).
fof(f7647,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,X2)
| ~ rpoint(X1)
| vangle(X1,X0,X2) = vangle(X1,X0,sK3)
| X0 = X1
| X0 = X2
| sK3 = X2 ),
inference(resolution,[],[f7641,f432]) ).
fof(f7690,plain,
! [X0,X1] :
( sK3 = X0
| ~ rpoint(X0)
| rR(X0,sK3,sK1)
| ~ rpoint(X1)
| vangle(X1,X0,sK3) = vangle(X1,X0,sK1)
| X0 = X1
| sK1 = X0
| sK1 = sK3 ),
inference(resolution,[],[f7647,f436]) ).
fof(f7695,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| rR(X0,sK3,sK1)
| sK3 = X0
| vangle(X1,X0,sK3) = vangle(X1,X0,sK1)
| X0 = X1
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f7690,f701]) ).
fof(f7704,plain,
! [X0] :
( ~ rpoint(X0)
| rR(X0,sK3,sK1)
| sK3 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK1)
| sK3 = X0
| sK1 = X0 ),
inference(resolution,[],[f7695,f432]) ).
fof(f7705,plain,
! [X0] :
( rR(X0,sK3,sK1)
| ~ rpoint(X0)
| sK3 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK1)
| sK1 = X0 ),
inference(duplicate_literal_removal,[],[f7704]) ).
fof(f12231,definition,
( spl54_364
<=> rR(sK2,sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl54_364])],[avatar_definition]) ).
fof(f12232,plain,
( rR(sK2,sK3,sK1)
| ~ spl54_364 ),
inference(avatar_component_clause,[],[f12231]) ).
fof(f12233,plain,
( ~ rR(sK2,sK3,sK1)
| spl54_364 ),
inference(avatar_component_clause,[],[f12231]) ).
fof(f12592,plain,
( ~ rline(vd1407)
| ron(sK1,vd1407)
| ~ ron(sK2,vd1407)
| ~ spl54_185 ),
inference(resolution,[],[f7325,f699]) ).
fof(f12610,plain,
( ron(sK1,vd1407)
| ~ ron(sK2,vd1407)
| ~ spl54_185 ),
inference(forward_subsumption_resolution,[],[f12592,f441]) ).
fof(f12644,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_364 ),
inference(resolution,[],[f12232,f824]) ).
fof(f12646,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(sK3) )
| ~ spl54_364 ),
inference(forward_subsumption_resolution,[],[f12644,f436]) ).
fof(f12647,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(sK1,X0)
| ~ rline(X0)
| ~ rpoint(sK3) )
| ~ spl54_364 ),
inference(forward_subsumption_resolution,[],[f12646,f434]) ).
fof(f12648,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ron(sK1,X0)
| ~ rline(X0) )
| ~ spl54_364 ),
inference(forward_subsumption_resolution,[],[f12647,f432]) ).
fof(f12649,plain,
( spl54_185
| ~ spl54_364 ),
inference(avatar_split_clause,[],[f12648,f12231,f7324]) ).
fof(f13007,definition,
( spl54_408
<=> vd684 = vangle(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_408])],[avatar_definition]) ).
fof(f13009,plain,
( vd684 != vangle(sK1,sK2,sK3)
| spl54_408 ),
inference(avatar_component_clause,[],[f13007]) ).
fof(f13010,plain,
( spl54_185
| ~ spl54_408 ),
inference(avatar_split_clause,[],[f7222,f13007,f7324]) ).
fof(f15692,plain,
( ~ rpoint(sK2)
| sK2 = sK3
| vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| sK1 = sK2
| spl54_364 ),
inference(resolution,[],[f12233,f7705]) ).
fof(f15696,plain,
( sK2 = sK3
| vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| sK1 = sK2
| spl54_364 ),
inference(forward_subsumption_resolution,[],[f15692,f434]) ).
fof(f15698,plain,
( vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| sK1 = sK2
| spl54_364 ),
inference(forward_subsumption_resolution,[],[f15696,f702]) ).
fof(f15700,plain,
( vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| spl54_364 ),
inference(forward_subsumption_resolution,[],[f15698,f700]) ).
fof(f15702,plain,
( vd684 = vangle(sK3,sK2,sK1)
| spl54_364 ),
inference(forward_demodulation,[],[f15700,f1905]) ).
fof(f15705,plain,
( vd684 = vangle(sK1,sK2,sK3)
| spl54_364 ),
inference(forward_demodulation,[],[f15702,f2067]) ).
fof(f15706,plain,
( $false
| spl54_364
| spl54_408 ),
inference(forward_subsumption_resolution,[],[f15705,f13009]) ).
fof(f15707,plain,
( spl54_364
| spl54_408 ),
inference(avatar_contradiction_clause,[],[f15706]) ).
fof(f15709,plain,
( ~ ron(sK2,vd1407)
| ~ spl54_185 ),
inference(forward_subsumption_resolution,[],[f12610,f7038]) ).
fof(f15716,plain,
( $false
| ~ spl54_185 ),
inference(forward_subsumption_resolution,[],[f15709,f698]) ).
fof(f15717,plain,
~ spl54_185,
inference(avatar_contradiction_clause,[],[f15716]) ).
cnf(s409,plain,
( spl54_185
| ~ spl54_364 ),
inference(sat_conversion,[],[f12649]) ).
cnf(s444,plain,
( spl54_185
| ~ spl54_408 ),
inference(sat_conversion,[],[f13010]) ).
cnf(s675,plain,
( spl54_364
| spl54_408 ),
inference(sat_conversion,[],[f15707]) ).
cnf(s677,plain,
~ spl54_185,
inference(sat_conversion,[],[f15717]) ).
cnf(s697,plain,
~ spl54_408,
inference(rat,[],[s444,s677]) ).
cnf(s698,plain,
spl54_364,
inference(rat,[],[s675,s697]) ).
cnf(s699,plain,
$false,
inference(rat,[],[s409,s698,s677]) ).
fof(f15720,plain,
$false,
inference(avatar_sat_refutation,[],[s699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO341+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n009.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 08:08:30 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.79/2.44 % (1711262)Detected formulas, will run a generic FOF schedule.
% 10.79/2.44 % (1711272)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3516366864:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.79/2.44 % (1711271)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3842015449:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.79/2.44 % (1711270)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1958398399:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.79/2.44 % (1711268)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=2983111191:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.79/2.44 % (1711269)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=2282621533:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.79/2.44 % (1711267)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=3346531366:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.79/2.44 % (1711272)Instruction limit reached!
% 10.79/2.44 % (1711272)------------------------------
% 10.79/2.44 % (1711272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.44 % (1711272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.44 % (1711272)CaDiCaL version: 2.1.3
% 10.79/2.44 % (1711272)Termination reason: Instruction limit
% 10.79/2.44 % (1711272)Termination phase: Saturation
% 10.79/2.44 % (1711272)Time elapsed: 0.049 s
% 10.79/2.44 % (1711272)Peak memory usage: 90 MB
% 10.79/2.44 % (1711272)Instructions burned: 143 (million)
% 10.79/2.44 % (1711270)Refutation not found, incomplete strategy
% 10.79/2.44 % (1711270)------------------------------
% 10.79/2.44 % (1711270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.44 % (1711270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.44 % (1711270)CaDiCaL version: 2.1.3
% 10.79/2.44 % (1711270)Termination reason: Refutation not found, incomplete strategy
% 10.79/2.44 % (1711270)Time elapsed: 0.009 s
% 10.79/2.44 % (1711270)Peak memory usage: 88 MB
% 10.79/2.44 % (1711270)Instructions burned: 14 (million)
% 10.79/2.44 % (1711273)dis-21_1_sil=8000:lcm=predicate:random_seed=3054391496: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)
% 10.79/2.44 % (1711271)Instruction limit reached!
% 10.79/2.44 % (1711271)------------------------------
% 10.79/2.44 % (1711271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.44 % (1711271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.44 % (1711271)CaDiCaL version: 2.1.3
% 10.79/2.44 % (1711271)Termination reason: Instruction limit
% 10.79/2.44 % (1711271)Termination phase: Saturation
% 10.79/2.44 % (1711271)Time elapsed: 0.066 s
% 10.79/2.44 % (1711271)Peak memory usage: 88 MB
% 10.79/2.44 % (1711271)Instructions burned: 120 (million)
% 10.79/2.44 % (1711273)Instruction limit reached!
% 10.79/2.44 % (1711273)------------------------------
% 10.79/2.44 % (1711273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.44 % (1711273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.44 % (1711273)CaDiCaL version: 2.1.3
% 10.79/2.44 % (1711273)Termination reason: Instruction limit
% 10.79/2.44 % (1711273)Termination phase: Saturation
% 10.79/2.44 % (1711273)Time elapsed: 0.070 s
% 10.79/2.44 % (1711273)Peak memory usage: 90 MB
% 10.79/2.44 % (1711273)Instructions burned: 129 (million)
% 10.79/2.44 % (1711280)lrs+10_1_sil=8000:sp=occurrence:random_seed=1399226797:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.79/2.44 % (1711280)Instruction limit reached!
% 10.79/2.44 % (1711280)------------------------------
% 10.79/2.44 % (1711280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.79/2.44 % (1711280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.79/2.44 % (1711280)CaDiCaL version: 2.1.3
% 10.79/2.44 % (1711280)Termination reason: Instruction limit
% 10.79/2.44 % (1711280)Termination phase: Saturation
% 10.79/2.44 % (1711280)Time elapsed: 0.082 s
% 10.79/2.44 % (1711280)Peak memory usage: 92 MB
% 10.79/2.44 % (1711280)Instructions burned: 288 (million)
% 9.69/3.30 % (1711282)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1035380892:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.69/3.30 % (1711270)------------------------------
% 9.69/3.30 % (1711270)------------------------------
% 9.69/3.30 % (1711283)lrs+1011_1_sil=32000:sp=occurrence:random_seed=866997729:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.69/3.30 % (1711282)Instruction limit reached!
% 9.69/3.30 % (1711282)------------------------------
% 9.69/3.30 % (1711282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711282)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711282)Termination reason: Instruction limit
% 9.69/3.30 % (1711282)Termination phase: Saturation
% 9.69/3.30 % (1711282)Time elapsed: 0.079 s
% 9.69/3.30 % (1711282)Peak memory usage: 90 MB
% 9.69/3.30 % (1711282)Instructions burned: 157 (million)
% 9.69/3.30 % (1711285)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=1833668623:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.69/3.30 % (1711285)Instruction limit reached!
% 9.69/3.30 % (1711285)------------------------------
% 9.69/3.30 % (1711285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711285)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711285)Termination reason: Instruction limit
% 9.69/3.30 % (1711285)Termination phase: Saturation
% 9.69/3.30 % (1711285)Time elapsed: 0.064 s
% 9.69/3.30 % (1711285)Peak memory usage: 93 MB
% 9.69/3.30 % (1711285)Instructions burned: 252 (million)
% 9.69/3.30 % (1711288)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=61328761:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.69/3.30 % (1711283)Instruction limit reached!
% 9.69/3.30 % (1711283)------------------------------
% 9.69/3.30 % (1711283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711283)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711283)Termination reason: Instruction limit
% 9.69/3.30 % (1711283)Termination phase: Saturation
% 9.69/3.30 % (1711283)Time elapsed: 0.157 s
% 9.69/3.30 % (1711283)Peak memory usage: 90 MB
% 9.69/3.30 % (1711283)Instructions burned: 325 (million)
% 9.69/3.30 % (1711289)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=718757181:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.69/3.30 % (1711291)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=15540133:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.69/3.30 % (1711291)Instruction limit reached!
% 9.69/3.30 % (1711291)------------------------------
% 9.69/3.30 % (1711291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711291)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711291)Termination reason: Instruction limit
% 9.69/3.30 % (1711291)Termination phase: Saturation
% 9.69/3.30 % (1711291)Time elapsed: 0.032 s
% 9.69/3.30 % (1711291)Peak memory usage: 90 MB
% 9.69/3.30 % (1711291)Instructions burned: 115 (million)
% 9.69/3.30 % (1711288)Instruction limit reached!
% 9.69/3.30 % (1711288)------------------------------
% 9.69/3.30 % (1711288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711288)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711288)Termination reason: Instruction limit
% 9.69/3.30 % (1711288)Termination phase: Saturation
% 9.69/3.30 % (1711288)Time elapsed: 0.143 s
% 9.69/3.30 % (1711288)Peak memory usage: 89 MB
% 9.69/3.30 % (1711288)Instructions burned: 296 (million)
% 9.69/3.30 % (1711293)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4230141555:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.69/3.30 % (1711293)Refutation not found, incomplete strategy
% 9.69/3.30 % (1711293)------------------------------
% 9.69/3.30 % (1711293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711293)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711293)Termination reason: Refutation not found, incomplete strategy
% 9.69/3.30 % (1711293)Time elapsed: 0.021 s
% 9.69/3.30 % (1711293)Peak memory usage: 89 MB
% 9.69/3.30 % (1711293)Instructions burned: 40 (million)
% 9.69/3.30 % (1711296)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4179758173:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.69/3.30 % (1711296)Instruction limit reached!
% 9.69/3.30 % (1711296)------------------------------
% 9.69/3.30 % (1711296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711296)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711296)Termination reason: Instruction limit
% 9.69/3.30 % (1711296)Termination phase: Saturation
% 9.69/3.30 % (1711296)Time elapsed: 0.026 s
% 9.69/3.30 % (1711296)Peak memory usage: 89 MB
% 9.69/3.30 % (1711296)Instructions burned: 120 (million)
% 9.69/3.30 % (1711297)lrs+10_1_sil=8000:sp=occurrence:random_seed=3357522567:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.69/3.30 % (1711300)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1463460206:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.69/3.30 % (1711300)Refutation not found, incomplete strategy
% 9.69/3.30 % (1711300)------------------------------
% 9.69/3.30 % (1711300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711300)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711300)Termination reason: Refutation not found, incomplete strategy
% 9.69/3.30 % (1711300)Time elapsed: 0.010 s
% 9.69/3.30 % (1711300)Peak memory usage: 89 MB
% 9.69/3.30 % (1711300)Instructions burned: 32 (million)
% 9.69/3.30 % (1711293)------------------------------
% 9.69/3.30 % (1711293)------------------------------
% 9.69/3.30 % (1711300)------------------------------
% 9.69/3.30 % (1711300)------------------------------
% 9.69/3.30 % (1711303)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1152189386:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 9.69/3.30 % (1711304)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1954057358:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.69/3.30 % (1711304)Instruction limit reached!
% 9.69/3.30 % (1711304)------------------------------
% 9.69/3.30 % (1711304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711304)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711304)Termination reason: Instruction limit
% 9.69/3.30 % (1711304)Termination phase: Saturation
% 9.69/3.30 % (1711304)Time elapsed: 0.035 s
% 9.69/3.30 % (1711304)Peak memory usage: 93 MB
% 9.69/3.30 % (1711304)Instructions burned: 136 (million)
% 9.69/3.30 % (1711297)Instruction limit reached!
% 9.69/3.30 % (1711297)------------------------------
% 9.69/3.30 % (1711297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711297)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711297)Termination reason: Instruction limit
% 9.69/3.30 % (1711297)Termination phase: Saturation
% 9.69/3.30 % (1711297)Time elapsed: 0.477 s
% 9.69/3.30 % (1711297)Peak memory usage: 96 MB
% 9.69/3.30 % (1711297)Instructions burned: 908 (million)
% 9.69/3.30 % (1711307)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=477586142:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 9.69/3.30 % (1711308)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3654803703:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 9.69/3.30 % (1711307)Instruction limit reached!
% 9.69/3.30 % (1711307)------------------------------
% 9.69/3.30 % (1711307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711307)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711307)Termination reason: Instruction limit
% 9.69/3.30 % (1711307)Termination phase: Saturation
% 9.69/3.30 % (1711307)Time elapsed: 0.158 s
% 9.69/3.30 % (1711307)Peak memory usage: 92 MB
% 9.69/3.30 % (1711307)Instructions burned: 592 (million)
% 9.69/3.30 % (1711311)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=2883521696:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 9.69/3.30 % (1711311)Instruction limit reached!
% 9.69/3.30 % (1711311)------------------------------
% 9.69/3.30 % (1711311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711311)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711311)Termination reason: Instruction limit
% 9.69/3.30 % (1711311)Termination phase: Saturation
% 9.69/3.30 % (1711311)Time elapsed: 0.037 s
% 9.69/3.30 % (1711311)Peak memory usage: 90 MB
% 9.69/3.30 % (1711311)Instructions burned: 128 (million)
% 9.69/3.30 % (1711313)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=336815670:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 9.69/3.30 % (1711313)Instruction limit reached!
% 9.69/3.30 % (1711313)------------------------------
% 9.69/3.30 % (1711313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711313)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711313)Termination reason: Instruction limit
% 9.69/3.30 % (1711313)Termination phase: Saturation
% 9.69/3.30 % (1711313)Time elapsed: 0.041 s
% 9.69/3.30 % (1711313)Peak memory usage: 91 MB
% 9.69/3.30 % (1711313)Instructions burned: 137 (million)
% 9.69/3.30 % (1711315)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3429610708:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 9.69/3.30 % (1711315)Refutation not found, incomplete strategy
% 9.69/3.30 % (1711315)------------------------------
% 9.69/3.30 % (1711315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711315)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711315)Termination reason: Refutation not found, incomplete strategy
% 9.69/3.30 % (1711315)Time elapsed: 0.007 s
% 9.69/3.30 % (1711315)Peak memory usage: 89 MB
% 9.69/3.30 % (1711315)Instructions burned: 26 (million)
% 9.69/3.30 % (1711289)Instruction limit reached!
% 9.69/3.30 % (1711289)------------------------------
% 9.69/3.30 % (1711289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711289)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711289)Termination reason: Instruction limit
% 9.69/3.30 % (1711289)Termination phase: Saturation
% 9.69/3.30 % (1711289)Time elapsed: 1.485 s
% 9.69/3.30 % (1711289)Peak memory usage: 139 MB
% 9.69/3.30 % (1711289)Instructions burned: 2350 (million)
% 9.69/3.30 % (1711267)First to succeed.
% 9.69/3.30 % (1711267)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1711262"
% 9.69/3.30 % (1711315)------------------------------
% 9.69/3.30 % (1711315)------------------------------
% 9.69/3.30 % (1711317)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2053072401:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 9.69/3.30 % (1711317)Refutation not found, incomplete strategy
% 9.69/3.30 % (1711317)------------------------------
% 9.69/3.30 % (1711317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/3.30 % (1711317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/3.30 % (1711317)CaDiCaL version: 2.1.3
% 9.69/3.30 % (1711317)Termination reason: Refutation not found, incomplete strategy
% 9.69/3.30 % (1711317)Time elapsed: 0.007 s
% 9.69/3.30 % (1711317)Peak memory usage: 88 MB
% 9.69/3.30 % (1711317)Instructions burned: 10 (million)
% 9.69/3.30 % (1711318)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=3940768669:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 9.69/3.30 % (1711267)Refutation found. Thanks to Tanya!
% 9.69/3.30 % SZS status ContradictoryAxioms for theBenchmark
% 9.69/3.30 % SZS output start Proof for theBenchmark
% See solution above
% 17.82/3.50 % (1711267)------------------------------
% 17.82/3.50 % (1711267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.82/3.50 % (1711267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.82/3.50 % (1711267)CaDiCaL version: 2.1.3
% 17.82/3.50 % (1711267)Termination reason: Refutation
% 17.82/3.50 % (1711267)Time elapsed: 1.985 s
% 17.82/3.50 % (1711267)Peak memory usage: 143 MB
% 17.82/3.50 % (1711267)Instructions burned: 3326 (million)
% 17.82/3.50 % (1711267)------------------------------
% 17.82/3.50 % (1711267)------------------------------
% 17.82/3.50 % (1711262)Success in time 2.43 s
% 17.82/3.50 % Vampire exiting
%------------------------------------------------------------------------------