%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO308+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:24 AM UTC 2026
% Result : Theorem 5.12s 2.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 21
% Syntax : Number of formulae : 143 ( 53 unt; 4 def)
% Number of atoms : 862 ( 213 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 1352 ( 633 ~; 633 |; 78 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-3 aty)
% Number of variables : 344 ( 0 sgn 323 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1288,vd1287,vd1289) = vangle(vd1299,vd1287,vd1289),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(358, 1317, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1288,vd1287,vd1289) != vangle(vd1299,vd1287,vd1289),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f8,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f9,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f10,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(f11,axiom,
! [X0,X1,X2,X3] :
( ( rR(X2,X1,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> rR(X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f12,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(f14,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f15,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f20,axiom,
vd1299 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(353))), 1311, 0)') ).
fof(f24,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(355), 1312, 0)') ).
fof(f26,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(349), 0)') ).
fof(f27,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f29,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f31,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(346)), 0)') ).
fof(f32,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f40,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f102,axiom,
! [X0,X1,X2,X3] :
( ( rR(X1,X0,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ~ rR(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f149,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1299,vd1287,vd1289),
inference(flattening,[],[f2]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f102]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f193]) ).
fof(f233,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,[],[f12]) ).
fof(f234,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,[],[f233]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f236,plain,
! [X0,X1,X2,X3] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f235]) ).
fof(f257,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,[],[f10]) ).
fof(f258,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,[],[f257]) ).
fof(f393,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK22
& rpoint(sK22)
& vd1288 = sK23
& rpoint(sK23)
& vd1287 = sK24
& rpoint(sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24)],[f9]) ).
fof(f435,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1299,vd1287,vd1289),
inference(cnf_transformation,[],[f149]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f194]) ).
fof(f522,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f234]) ).
fof(f524,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,[],[f234]) ).
fof(f526,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X3)
| ~ rR(X2,X1,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f236]) ).
fof(f527,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f40]) ).
fof(f529,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f24]) ).
fof(f530,plain,
rpoint(sK24),
inference(cnf_transformation,[],[f393]) ).
fof(f531,plain,
vd1287 = sK24,
inference(cnf_transformation,[],[f393]) ).
fof(f532,plain,
rpoint(sK23),
inference(cnf_transformation,[],[f393]) ).
fof(f533,plain,
vd1288 = sK23,
inference(cnf_transformation,[],[f393]) ).
fof(f534,plain,
rpoint(sK22),
inference(cnf_transformation,[],[f393]) ).
fof(f535,plain,
vd1289 = sK22,
inference(cnf_transformation,[],[f393]) ).
fof(f537,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f393]) ).
fof(f540,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f8]) ).
fof(f548,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f31]) ).
fof(f551,plain,
vd1287 != vd1299,
inference(cnf_transformation,[],[f20]) ).
fof(f560,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f27]) ).
fof(f601,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,[],[f258]) ).
fof(f603,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f26]) ).
fof(f604,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f14]) ).
fof(f681,plain,
rline(vd1295),
inference(cnf_transformation,[],[f32]) ).
fof(f682,plain,
rline(vd1297),
inference(cnf_transformation,[],[f29]) ).
fof(f719,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f15]) ).
fof(f723,plain,
vangle(sK23,sK24,sK22) != vangle(vd1300,sK24,sK22),
inference(definition_unfolding,[],[f435,f533,f531,f535,f604,f531,f535]) ).
fof(f724,plain,
ron(sK23,vd1295),
inference(definition_unfolding,[],[f527,f533]) ).
fof(f726,plain,
sK23 != sK24,
inference(definition_unfolding,[],[f529,f533,f531]) ).
fof(f729,plain,
sK22 != sK24,
inference(definition_unfolding,[],[f537,f531,f535]) ).
fof(f732,plain,
rR(sK23,sK24,vd1300),
inference(definition_unfolding,[],[f540,f533,f531,f604]) ).
fof(f737,plain,
ron(sK24,vd1295),
inference(definition_unfolding,[],[f548,f531]) ).
fof(f740,plain,
vd1300 != sK24,
inference(definition_unfolding,[],[f551,f531,f604]) ).
fof(f749,plain,
ron(sK22,vd1297),
inference(definition_unfolding,[],[f560,f535]) ).
fof(f754,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f603,f604]) ).
fof(f957,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f500]) ).
fof(f958,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X5,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f957]) ).
fof(f959,plain,
! [X0,X6,X7,X4,X5] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X0,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f958]) ).
fof(f960,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X5,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f959]) ).
fof(f1046,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,[],[f524]) ).
fof(f1047,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1046]) ).
fof(f1048,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1047]) ).
fof(f1049,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1048]) ).
fof(f1054,plain,
! [X3,X0,X1,X4,X5] :
( rR(X1,X3,X0)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f522]) ).
fof(f1055,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1054]) ).
fof(f1056,plain,
! [X3,X4,X5] :
( rR(X4,X3,X5)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1055]) ).
fof(f1057,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X2,X1,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f526]) ).
fof(f1058,plain,
! [X0,X1,X6,X7,X4,X5] :
( rR(X1,X0,X4)
| ~ rR(X5,X1,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1057]) ).
fof(f1059,plain,
! [X0,X6,X7,X4,X5] :
( rR(X6,X0,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1058]) ).
fof(f1060,plain,
! [X6,X7,X4,X5] :
( rR(X6,X7,X4)
| ~ rR(X5,X6,X4)
| ~ rR(X6,X7,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f1059]) ).
fof(f1232,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,[],[f601]) ).
fof(f1233,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,[],[f1232]) ).
fof(f1234,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,[],[f1233]) ).
fof(f1235,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,[],[f1234]) ).
fof(f1236,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,[],[f1235]) ).
fof(f1237,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,[],[f1236]) ).
fof(f1238,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X13,X9) = vangle(X12,X13,X11)
| 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)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1237]) ).
fof(f1527,definition,
! [X0,X1] :
( sQ52_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ52_eqProxy])],[equality_proxy_definition]) ).
fof(f1528,plain,
~ sQ52_eqProxy(vangle(sK23,sK24,sK22),vangle(vd1300,sK24,sK22)),
inference(equality_proxy_replacement,[],[f723,f1527]) ).
fof(f1569,plain,
~ sQ52_eqProxy(sK23,sK24),
inference(equality_proxy_replacement,[],[f726,f1527]) ).
fof(f1572,plain,
~ sQ52_eqProxy(sK22,sK24),
inference(equality_proxy_replacement,[],[f729,f1527]) ).
fof(f1575,plain,
~ sQ52_eqProxy(vd1300,sK24),
inference(equality_proxy_replacement,[],[f740,f1527]) ).
fof(f1615,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( sQ52_eqProxy(vangle(X10,X13,X9),vangle(X12,X13,X11))
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| sQ52_eqProxy(X9,X13)
| sQ52_eqProxy(X10,X13)
| sQ52_eqProxy(X11,X13)
| sQ52_eqProxy(X12,X13)
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X13,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_proxy_replacement,[],[f1238,f1527,f1527,f1527,f1527,f1527]) ).
fof(f1661,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1049]) ).
fof(f1672,plain,
! [X0,X1] :
( rR(sK24,sK22,sK22)
| rR(sK24,vd1300,sK23)
| sQ52_eqProxy(sK22,sK24)
| sQ52_eqProxy(sK23,sK24)
| sQ52_eqProxy(sK22,sK24)
| sQ52_eqProxy(vd1300,sK24)
| ~ ron(sK22,X0)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK22)
| ~ rpoint(sK23)
| ~ rpoint(sK22)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(resolution,[],[f1528,f1615]) ).
fof(f1679,plain,
! [X0,X1] :
( rR(sK24,sK22,sK22)
| rR(sK24,vd1300,sK23)
| sQ52_eqProxy(sK22,sK24)
| sQ52_eqProxy(sK23,sK24)
| sQ52_eqProxy(vd1300,sK24)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK22)
| ~ rpoint(sK23)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(duplicate_literal_removal,[],[f1672]) ).
fof(f1688,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| sQ52_eqProxy(sK22,sK24)
| sQ52_eqProxy(sK23,sK24)
| sQ52_eqProxy(vd1300,sK24)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK22)
| ~ rpoint(sK23)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1679,f1661]) ).
fof(f1697,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| sQ52_eqProxy(sK23,sK24)
| sQ52_eqProxy(vd1300,sK24)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK22)
| ~ rpoint(sK23)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1688,f1572]) ).
fof(f1706,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| sQ52_eqProxy(vd1300,sK24)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK22)
| ~ rpoint(sK23)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1697,f1569]) ).
fof(f1715,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK22)
| ~ rpoint(sK23)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1706,f1575]) ).
fof(f1724,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK23)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1715,f534]) ).
fof(f1729,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1724,f532]) ).
fof(f1730,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK24) ),
inference(forward_subsumption_resolution,[],[f1729,f719]) ).
fof(f1731,plain,
! [X0,X1] :
( rR(sK24,vd1300,sK23)
| ~ ron(sK22,X0)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1)
| ~ ron(sK24,X1)
| ~ rline(X0)
| ~ rline(X1) ),
inference(forward_subsumption_resolution,[],[f1730,f530]) ).
fof(f2670,definition,
( spl53_3
<=> ! [X1] :
( ~ ron(sK23,X1)
| ~ rline(X1)
| ~ ron(sK24,X1)
| ~ ron(vd1300,X1) ) ),
introduced(definition,[new_symbols(definition,[spl53_3])],[avatar_definition]) ).
fof(f2671,plain,
( ! [X1] :
( ~ ron(sK24,X1)
| ~ rline(X1)
| ~ ron(sK23,X1)
| ~ ron(vd1300,X1) )
| ~ spl53_3 ),
inference(avatar_component_clause,[],[f2670]) ).
fof(f2673,definition,
( spl53_4
<=> ! [X0] :
( ~ ron(sK22,X0)
| ~ rline(X0) ) ),
introduced(definition,[new_symbols(definition,[spl53_4])],[avatar_definition]) ).
fof(f2674,plain,
( ! [X0] :
( ~ ron(sK22,X0)
| ~ rline(X0) )
| ~ spl53_4 ),
inference(avatar_component_clause,[],[f2673]) ).
fof(f2676,definition,
( spl53_5
<=> rR(sK24,vd1300,sK23) ),
introduced(definition,[new_symbols(definition,[spl53_5])],[avatar_definition]) ).
fof(f2678,plain,
( rR(sK24,vd1300,sK23)
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f2679,plain,
( spl53_3
| spl53_4
| spl53_5 ),
inference(avatar_split_clause,[],[f1731,f2676,f2673,f2670]) ).
fof(f2682,plain,
( ~ rline(vd1295)
| ~ ron(sK23,vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl53_3 ),
inference(resolution,[],[f2671,f737]) ).
fof(f2691,plain,
( ~ ron(sK23,vd1295)
| ~ ron(vd1300,vd1295)
| ~ spl53_3 ),
inference(forward_subsumption_resolution,[],[f2682,f681]) ).
fof(f2697,plain,
( ~ ron(vd1300,vd1295)
| ~ spl53_3 ),
inference(forward_subsumption_resolution,[],[f2691,f724]) ).
fof(f2700,plain,
( $false
| ~ spl53_3 ),
inference(forward_subsumption_resolution,[],[f2697,f754]) ).
fof(f2701,plain,
~ spl53_3,
inference(avatar_contradiction_clause,[],[f2700]) ).
fof(f2702,plain,
( ~ rline(vd1297)
| ~ spl53_4 ),
inference(resolution,[],[f2674,f749]) ).
fof(f2712,plain,
( $false
| ~ spl53_4 ),
inference(forward_subsumption_resolution,[],[f2702,f682]) ).
fof(f2713,plain,
~ spl53_4,
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2716,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rR(sK24,sK23,X0)
| ~ rpoint(X0)
| ~ rpoint(sK23)
| ~ rpoint(sK24)
| ~ rpoint(vd1300) )
| ~ spl53_5 ),
inference(resolution,[],[f2678,f960]) ).
fof(f2739,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rR(sK24,sK23,X0)
| ~ rpoint(X0)
| ~ rpoint(sK24)
| ~ rpoint(vd1300) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2716,f532]) ).
fof(f2751,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rR(sK24,sK23,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1300) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2739,f530]) ).
fof(f2763,plain,
( ! [X0] :
( ~ rR(sK24,sK23,X0)
| ~ rR(sK24,vd1300,X0)
| ~ rpoint(X0) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2751,f719]) ).
fof(f2798,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rpoint(X0)
| ~ rR(sK24,X0,sK23)
| ~ rpoint(sK23)
| ~ rpoint(sK24)
| ~ rpoint(X0) )
| ~ spl53_5 ),
inference(resolution,[],[f2763,f1056]) ).
fof(f2803,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rpoint(X0)
| ~ rR(sK24,X0,sK23)
| ~ rpoint(sK23)
| ~ rpoint(sK24) )
| ~ spl53_5 ),
inference(duplicate_literal_removal,[],[f2798]) ).
fof(f2808,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rpoint(X0)
| ~ rR(sK24,X0,sK23)
| ~ rpoint(sK24) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2803,f532]) ).
fof(f2815,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rpoint(X0)
| ~ rR(sK24,X0,sK23) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2808,f530]) ).
fof(f2900,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rR(sK24,X0,sK23)
| ~ rR(sK24,X0,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK24)
| ~ rpoint(X0) )
| ~ spl53_5 ),
inference(resolution,[],[f2815,f1056]) ).
fof(f2905,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rR(sK24,X0,sK23)
| ~ rR(sK24,X0,vd1300)
| ~ rpoint(vd1300)
| ~ rpoint(sK24) )
| ~ spl53_5 ),
inference(duplicate_literal_removal,[],[f2900]) ).
fof(f2910,plain,
( ! [X0] :
( ~ rpoint(X0)
| ~ rR(sK24,X0,sK23)
| ~ rR(sK24,X0,vd1300)
| ~ rpoint(sK24) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2905,f719]) ).
fof(f2918,plain,
( ! [X0] :
( ~ rR(sK24,X0,sK23)
| ~ rpoint(X0)
| ~ rR(sK24,X0,vd1300) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f2910,f530]) ).
fof(f3042,plain,
( ~ rpoint(vd1300)
| ~ rR(sK24,vd1300,vd1300)
| ~ spl53_5 ),
inference(resolution,[],[f2918,f2678]) ).
fof(f3050,plain,
( ~ rR(sK24,vd1300,vd1300)
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f3042,f719]) ).
fof(f3066,plain,
( ! [X0] :
( ~ rR(X0,sK24,vd1300)
| ~ rR(sK24,vd1300,X0)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| ~ rpoint(sK24)
| ~ rpoint(vd1300) )
| ~ spl53_5 ),
inference(resolution,[],[f3050,f1060]) ).
fof(f3073,plain,
( ! [X0] :
( ~ rR(X0,sK24,vd1300)
| ~ rR(sK24,vd1300,X0)
| ~ rpoint(vd1300)
| ~ rpoint(X0)
| ~ rpoint(sK24) )
| ~ spl53_5 ),
inference(duplicate_literal_removal,[],[f3066]) ).
fof(f3075,plain,
( ! [X0] :
( ~ rR(X0,sK24,vd1300)
| ~ rR(sK24,vd1300,X0)
| ~ rpoint(X0)
| ~ rpoint(sK24) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f3073,f719]) ).
fof(f3076,plain,
( ! [X0] :
( ~ rR(sK24,vd1300,X0)
| ~ rR(X0,sK24,vd1300)
| ~ rpoint(X0) )
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f3075,f530]) ).
fof(f3171,plain,
( ~ rR(sK23,sK24,vd1300)
| ~ rpoint(sK23)
| ~ spl53_5 ),
inference(resolution,[],[f3076,f2678]) ).
fof(f3189,plain,
( ~ rpoint(sK23)
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f3171,f732]) ).
fof(f3195,plain,
( $false
| ~ spl53_5 ),
inference(forward_subsumption_resolution,[],[f3189,f532]) ).
fof(f3196,plain,
~ spl53_5,
inference(avatar_contradiction_clause,[],[f3195]) ).
cnf(s2,plain,
( spl53_3
| spl53_4
| spl53_5 ),
inference(sat_conversion,[],[f2679]) ).
cnf(s4,plain,
~ spl53_3,
inference(sat_conversion,[],[f2701]) ).
cnf(s6,plain,
~ spl53_4,
inference(sat_conversion,[],[f2713]) ).
cnf(s9,plain,
~ spl53_5,
inference(sat_conversion,[],[f3196]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s9,s6,s4]) ).
fof(f3199,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO308+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 : n008.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 08:03:54 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 5.12/2.50 % (906918)Detected formulas, will run a generic FOF schedule.
% 5.12/2.50 % (906927)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1816988825:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.12/2.50 % (906926)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2996223423:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.12/2.50 % (906929)dis-21_1_sil=8000:lcm=predicate:random_seed=3223730368: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)
% 5.12/2.50 % (906923)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=1720915251:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.12/2.50 % (906924)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=4044935780:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.12/2.50 % (906925)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=4122940062:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.12/2.50 % (906928)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=948944572:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.12/2.50 % (906927)Instruction limit reached!
% 5.12/2.50 % (906927)------------------------------
% 5.12/2.50 % (906927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906927)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906927)Termination reason: Instruction limit
% 5.12/2.50 % (906927)Termination phase: Saturation
% 5.12/2.50 % (906927)Time elapsed: 0.035 s
% 5.12/2.50 % (906927)Peak memory usage: 89 MB
% 5.12/2.50 % (906927)Instructions burned: 119 (million)
% 5.12/2.50 % (906926)Refutation not found, incomplete strategy
% 5.12/2.50 % (906926)------------------------------
% 5.12/2.50 % (906926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906926)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906926)Termination reason: Refutation not found, incomplete strategy
% 5.12/2.50 % (906926)Time elapsed: 0.009 s
% 5.12/2.50 % (906926)Peak memory usage: 89 MB
% 5.12/2.50 % (906926)Instructions burned: 14 (million)
% 5.12/2.50 % (906929)Instruction limit reached!
% 5.12/2.50 % (906929)------------------------------
% 5.12/2.50 % (906929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906929)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906929)Termination reason: Instruction limit
% 5.12/2.50 % (906929)Termination phase: Saturation
% 5.12/2.50 % (906929)Time elapsed: 0.069 s
% 5.12/2.50 % (906929)Peak memory usage: 90 MB
% 5.12/2.50 % (906929)Instructions burned: 129 (million)
% 5.12/2.50 % (906928)Instruction limit reached!
% 5.12/2.50 % (906928)------------------------------
% 5.12/2.50 % (906928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906928)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906928)Termination reason: Instruction limit
% 5.12/2.50 % (906928)Termination phase: Saturation
% 5.12/2.50 % (906928)Time elapsed: 0.087 s
% 5.12/2.50 % (906928)Peak memory usage: 90 MB
% 5.12/2.50 % (906928)Instructions burned: 140 (million)
% 5.12/2.50 % (906937)lrs+10_1_sil=8000:sp=occurrence:random_seed=2020277261:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.12/2.50 % (906937)Instruction limit reached!
% 5.12/2.50 % (906937)------------------------------
% 5.12/2.50 % (906937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906937)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906937)Termination reason: Instruction limit
% 5.12/2.50 % (906937)Termination phase: Saturation
% 5.12/2.50 % (906937)Time elapsed: 0.087 s
% 5.12/2.50 % (906937)Peak memory usage: 92 MB
% 5.12/2.50 % (906937)Instructions burned: 289 (million)
% 5.12/2.50 % (906938)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1320304457:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.12/2.50 % (906939)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1354093354:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.12/2.50 % (906926)------------------------------
% 5.12/2.50 % (906926)------------------------------
% 5.12/2.50 % (906938)Instruction limit reached!
% 5.12/2.50 % (906938)------------------------------
% 5.12/2.50 % (906938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906938)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906938)Termination reason: Instruction limit
% 5.12/2.50 % (906938)Termination phase: Saturation
% 5.12/2.50 % (906938)Time elapsed: 0.077 s
% 5.12/2.50 % (906938)Peak memory usage: 90 MB
% 5.12/2.50 % (906938)Instructions burned: 158 (million)
% 5.12/2.50 % (906941)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=495400744:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.12/2.50 % (906941)Instruction limit reached!
% 5.12/2.50 % (906941)------------------------------
% 5.12/2.50 % (906941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906941)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906941)Termination reason: Instruction limit
% 5.12/2.50 % (906941)Termination phase: Saturation
% 5.12/2.50 % (906941)Time elapsed: 0.063 s
% 5.12/2.50 % (906941)Peak memory usage: 94 MB
% 5.12/2.50 % (906941)Instructions burned: 251 (million)
% 5.12/2.50 % (906944)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1641867976:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.12/2.50 % (906939)Instruction limit reached!
% 5.12/2.50 % (906939)------------------------------
% 5.12/2.50 % (906939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906939)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906939)Termination reason: Instruction limit
% 5.12/2.50 % (906939)Termination phase: Saturation
% 5.12/2.50 % (906939)Time elapsed: 0.177 s
% 5.12/2.50 % (906939)Peak memory usage: 91 MB
% 5.12/2.50 % (906939)Instructions burned: 327 (million)
% 5.12/2.50 % (906945)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2422469818:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.12/2.50 % (906948)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1932160993:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.12/2.50 % (906944)Instruction limit reached!
% 5.12/2.50 % (906944)------------------------------
% 5.12/2.50 % (906944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906944)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906944)Termination reason: Instruction limit
% 5.12/2.50 % (906944)Termination phase: Saturation
% 5.12/2.50 % (906944)Time elapsed: 0.143 s
% 5.12/2.50 % (906944)Peak memory usage: 89 MB
% 5.12/2.50 % (906944)Instructions burned: 294 (million)
% 5.12/2.50 % (906948)Instruction limit reached!
% 5.12/2.50 % (906948)------------------------------
% 5.12/2.50 % (906948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906948)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906948)Termination reason: Instruction limit
% 5.12/2.50 % (906948)Termination phase: Saturation
% 5.12/2.50 % (906948)Time elapsed: 0.031 s
% 5.12/2.50 % (906948)Peak memory usage: 90 MB
% 5.12/2.50 % (906948)Instructions burned: 115 (million)
% 5.12/2.50 % (906949)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3287016677:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.12/2.50 % (906949)Refutation not found, incomplete strategy
% 5.12/2.50 % (906949)------------------------------
% 5.12/2.50 % (906949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906949)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906949)Termination reason: Refutation not found, incomplete strategy
% 5.12/2.50 % (906949)Time elapsed: 0.022 s
% 5.12/2.50 % (906949)Peak memory usage: 89 MB
% 5.12/2.50 % (906949)Instructions burned: 43 (million)
% 5.12/2.50 % (906952)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=409420460:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.12/2.50 % (906952)Instruction limit reached!
% 5.12/2.50 % (906952)------------------------------
% 5.12/2.50 % (906952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906952)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906952)Termination reason: Instruction limit
% 5.12/2.50 % (906952)Termination phase: Saturation
% 5.12/2.50 % (906952)Time elapsed: 0.025 s
% 5.12/2.50 % (906952)Peak memory usage: 89 MB
% 5.12/2.50 % (906952)Instructions burned: 119 (million)
% 5.12/2.50 % (906953)lrs+10_1_sil=8000:sp=occurrence:random_seed=1854908179:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.12/2.50 % (906956)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3873431390:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 5.12/2.50 % (906956)Refutation not found, incomplete strategy
% 5.12/2.50 % (906956)------------------------------
% 5.12/2.50 % (906956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906956)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906956)Termination reason: Refutation not found, incomplete strategy
% 5.12/2.50 % (906956)Time elapsed: 0.010 s
% 5.12/2.50 % (906956)Peak memory usage: 89 MB
% 5.12/2.50 % (906956)Instructions burned: 33 (million)
% 5.12/2.50 % (906949)------------------------------
% 5.12/2.50 % (906949)------------------------------
% 5.12/2.50 % (906956)------------------------------
% 5.12/2.50 % (906956)------------------------------
% 5.12/2.50 % (906959)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3715892520:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 5.12/2.50 % (906960)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2337797635:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 5.12/2.50 % (906960)Instruction limit reached!
% 5.12/2.50 % (906960)------------------------------
% 5.12/2.50 % (906960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906960)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906960)Termination reason: Instruction limit
% 5.12/2.50 % (906960)Termination phase: Saturation
% 5.12/2.50 % (906960)Time elapsed: 0.035 s
% 5.12/2.50 % (906960)Peak memory usage: 93 MB
% 5.12/2.50 % (906960)Instructions burned: 134 (million)
% 5.12/2.50 % (906953)Instruction limit reached!
% 5.12/2.50 % (906953)------------------------------
% 5.12/2.50 % (906953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/2.50 % (906953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/2.50 % (906953)CaDiCaL version: 2.1.3
% 5.12/2.50 % (906953)Termination reason: Instruction limit
% 5.12/2.50 % (906953)Termination phase: Saturation
% 5.12/2.50 % (906953)Time elapsed: 0.484 s
% 5.12/2.50 % (906953)Peak memory usage: 99 MB
% 5.12/2.50 % (906953)Instructions burned: 907 (million)
% 5.12/2.50 % (906963)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2092197732:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 5.12/2.50 % (906963)First to succeed.
% 5.12/2.50 % (906963)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-906918"
% 5.12/2.50 % (906964)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2489688265:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 5.12/2.50 % (906963)Refutation found. Thanks to Tanya!
% 5.12/2.50 % SZS status Theorem for theBenchmark
% 5.12/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.70 % (906963)------------------------------
% 0.18/2.70 % (906963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.70 % (906963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.70 % (906963)CaDiCaL version: 2.1.3
% 0.18/2.70 % (906963)Termination reason: Refutation
% 0.18/2.70 % (906963)Time elapsed: 0.039 s
% 0.18/2.70 % (906963)Peak memory usage: 91 MB
% 0.18/2.70 % (906963)Instructions burned: 147 (million)
% 0.18/2.70 % (906963)------------------------------
% 0.18/2.70 % (906963)------------------------------
% 0.18/2.70 % (906918)Success in time 1.65 s
% 0.18/2.70 % Vampire exiting
%------------------------------------------------------------------------------