%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO320+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 : n013.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 09:52:26 AM UTC 2026
% Result : Theorem 11.08s 2.55s
% Output : Refutation 12.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 100 ( 52 unt; 3 def)
% Number of atoms : 576 ( 161 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 872 ( 396 ~; 414 |; 57 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 206 ( 0 sgn 193 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1289,vd1287,vd1288) = vangle(vd1289,vd1287,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(373, 1341, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1289,vd1287,vd1288) != vangle(vd1289,vd1287,vd1329),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
~ rR(vd1287,vd1288,vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(372)))') ).
fof(f6,axiom,
rpoint(vd1329),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(367, 0)') ).
fof(f10,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/sandbox2/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(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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f14,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(f16,axiom,
vd1329 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(368)), 1332, 0)') ).
fof(f18,axiom,
vd1289 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(371)), 1338, 0)') ).
fof(f20,axiom,
ron(vd1329,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(368), 0)') ).
fof(f53,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(371), 1337, 0)') ).
fof(f54,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(370)), 0)') ).
fof(f58,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f59,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f60,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f63,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f179,plain,
vangle(vd1289,vd1287,vd1288) != vangle(vd1289,vd1287,vd1329),
inference(flattening,[],[f2]) ).
fof(f292,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,[],[f14]) ).
fof(f293,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,[],[f292]) ).
fof(f294,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(f295,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,[],[f294]) ).
fof(f449,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK28
& rpoint(sK28)
& vd1288 = sK29
& rpoint(sK29)
& vd1287 = sK30
& rpoint(sK30) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X2,sK30)],[f10]) ).
fof(f484,plain,
vangle(vd1289,vd1287,vd1288) != vangle(vd1289,vd1287,vd1329),
inference(cnf_transformation,[],[f179]) ).
fof(f600,plain,
vd1287 != vd1288,
inference(cnf_transformation,[],[f53]) ).
fof(f621,plain,
vd1289 != vd1287,
inference(cnf_transformation,[],[f18]) ).
fof(f623,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,[],[f293]) ).
fof(f626,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,[],[f295]) ).
fof(f629,plain,
rpoint(sK30),
inference(cnf_transformation,[],[f449]) ).
fof(f630,plain,
vd1287 = sK30,
inference(cnf_transformation,[],[f449]) ).
fof(f631,plain,
rpoint(sK29),
inference(cnf_transformation,[],[f449]) ).
fof(f632,plain,
vd1288 = sK29,
inference(cnf_transformation,[],[f449]) ).
fof(f633,plain,
rpoint(sK28),
inference(cnf_transformation,[],[f449]) ).
fof(f634,plain,
vd1289 = sK28,
inference(cnf_transformation,[],[f449]) ).
fof(f640,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f58]) ).
fof(f648,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f59]) ).
fof(f660,plain,
vd1287 != vd1329,
inference(cnf_transformation,[],[f16]) ).
fof(f663,plain,
~ rR(vd1287,vd1288,vd1329),
inference(cnf_transformation,[],[f3]) ).
fof(f665,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f54]) ).
fof(f679,plain,
ron(vd1329,vd1295),
inference(cnf_transformation,[],[f20]) ).
fof(f680,plain,
rpoint(vd1329),
inference(cnf_transformation,[],[f6]) ).
fof(f752,plain,
rline(vd1295),
inference(cnf_transformation,[],[f63]) ).
fof(f753,plain,
rline(vd1297),
inference(cnf_transformation,[],[f60]) ).
fof(f790,plain,
vangle(sK28,sK30,sK29) != vangle(sK28,sK30,vd1329),
inference(definition_unfolding,[],[f484,f634,f630,f632,f634,f630]) ).
fof(f791,plain,
sK29 != sK30,
inference(definition_unfolding,[],[f600,f630,f632]) ).
fof(f812,plain,
sK28 != sK30,
inference(definition_unfolding,[],[f621,f634,f630]) ).
fof(f819,plain,
ron(sK28,vd1297),
inference(definition_unfolding,[],[f640,f634]) ).
fof(f827,plain,
ron(sK30,vd1297),
inference(definition_unfolding,[],[f648,f630]) ).
fof(f839,plain,
vd1329 != sK30,
inference(definition_unfolding,[],[f660,f630]) ).
fof(f842,plain,
~ rR(sK30,sK29,vd1329),
inference(definition_unfolding,[],[f663,f630,f632]) ).
fof(f844,plain,
ron(sK29,vd1295),
inference(definition_unfolding,[],[f665,f632]) ).
fof(f1243,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,[],[f623]) ).
fof(f1244,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,[],[f1243]) ).
fof(f1245,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,[],[f1244]) ).
fof(f1246,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,[],[f1245]) ).
fof(f1247,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,[],[f1246]) ).
fof(f1248,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,[],[f1247]) ).
fof(f1249,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,[],[f1248]) ).
fof(f1253,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,[],[f626]) ).
fof(f1254,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1253]) ).
fof(f1255,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1254]) ).
fof(f1256,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1255]) ).
fof(f1600,definition,
! [X0,X1] :
( sQ52_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ52_eqProxy])],[equality_proxy_definition]) ).
fof(f1601,plain,
~ sQ52_eqProxy(vangle(sK28,sK30,sK29),vangle(sK28,sK30,vd1329)),
inference(equality_proxy_replacement,[],[f790,f1600]) ).
fof(f1665,plain,
~ sQ52_eqProxy(sK29,sK30),
inference(equality_proxy_replacement,[],[f791,f1600]) ).
fof(f1686,plain,
~ sQ52_eqProxy(sK28,sK30),
inference(equality_proxy_replacement,[],[f812,f1600]) ).
fof(f1688,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,[],[f1249,f1600,f1600,f1600,f1600,f1600]) ).
fof(f1695,plain,
~ sQ52_eqProxy(vd1329,sK30),
inference(equality_proxy_replacement,[],[f839,f1600]) ).
fof(f1745,plain,
! [X0,X1] :
( sQ52_eqProxy(X1,X0)
| ~ sQ52_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f1600]) ).
fof(f1747,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1256]) ).
fof(f1763,plain,
~ sQ52_eqProxy(vangle(sK28,sK30,vd1329),vangle(sK28,sK30,sK29)),
inference(resolution,[],[f1601,f1745]) ).
fof(f1834,plain,
! [X0,X1] :
( rR(sK30,sK29,vd1329)
| rR(sK30,sK28,sK28)
| sQ52_eqProxy(vd1329,sK30)
| sQ52_eqProxy(sK28,sK30)
| sQ52_eqProxy(sK29,sK30)
| sQ52_eqProxy(sK28,sK30)
| ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK28)
| ~ rpoint(sK30) ),
inference(resolution,[],[f1763,f1688]) ).
fof(f1841,plain,
! [X0,X1] :
( rR(sK30,sK29,vd1329)
| rR(sK30,sK28,sK28)
| sQ52_eqProxy(vd1329,sK30)
| sQ52_eqProxy(sK28,sK30)
| sQ52_eqProxy(sK29,sK30)
| ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(duplicate_literal_removal,[],[f1834]) ).
fof(f1850,plain,
! [X0,X1] :
( rR(sK30,sK28,sK28)
| sQ52_eqProxy(vd1329,sK30)
| sQ52_eqProxy(sK28,sK30)
| sQ52_eqProxy(sK29,sK30)
| ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1841,f842]) ).
fof(f1859,plain,
! [X0,X1] :
( sQ52_eqProxy(vd1329,sK30)
| sQ52_eqProxy(sK28,sK30)
| sQ52_eqProxy(sK29,sK30)
| ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1850,f1747]) ).
fof(f1868,plain,
! [X0,X1] :
( sQ52_eqProxy(sK28,sK30)
| sQ52_eqProxy(sK29,sK30)
| ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1859,f1695]) ).
fof(f1877,plain,
! [X0,X1] :
( sQ52_eqProxy(sK29,sK30)
| ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1868,f1686]) ).
fof(f1886,plain,
! [X0,X1] :
( ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(vd1329)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1877,f1665]) ).
fof(f1895,plain,
! [X0,X1] :
( ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK28)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1886,f680]) ).
fof(f1900,plain,
! [X0,X1] :
( ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK29)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1895,f633]) ).
fof(f1901,plain,
! [X0,X1] :
( ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1)
| ~ rpoint(sK30) ),
inference(forward_subsumption_resolution,[],[f1900,f631]) ).
fof(f1902,plain,
! [X0,X1] :
( ~ ron(vd1329,X0)
| ~ ron(sK29,X0)
| ~ ron(sK28,X1)
| ~ ron(sK30,X1)
| ~ rline(X0)
| ~ rline(X1) ),
inference(forward_subsumption_resolution,[],[f1901,f629]) ).
fof(f2775,definition,
( spl53_6
<=> ! [X1] :
( ~ ron(sK28,X1)
| ~ rline(X1)
| ~ ron(sK30,X1) ) ),
introduced(definition,[new_symbols(definition,[spl53_6])],[avatar_definition]) ).
fof(f2776,plain,
( ! [X1] :
( ~ ron(sK30,X1)
| ~ rline(X1)
| ~ ron(sK28,X1) )
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f2775]) ).
fof(f2778,definition,
( spl53_7
<=> ! [X0] :
( ~ ron(sK29,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) ) ),
introduced(definition,[new_symbols(definition,[spl53_7])],[avatar_definition]) ).
fof(f2779,plain,
( ! [X0] :
( ~ ron(sK29,X0)
| ~ rline(X0)
| ~ ron(vd1329,X0) )
| ~ spl53_7 ),
inference(avatar_component_clause,[],[f2778]) ).
fof(f2787,plain,
( ~ rline(vd1297)
| ~ ron(sK28,vd1297)
| ~ spl53_6 ),
inference(resolution,[],[f2776,f827]) ).
fof(f2796,plain,
( ~ ron(sK28,vd1297)
| ~ spl53_6 ),
inference(forward_subsumption_resolution,[],[f2787,f753]) ).
fof(f2803,plain,
( $false
| ~ spl53_6 ),
inference(forward_subsumption_resolution,[],[f2796,f819]) ).
fof(f2804,plain,
~ spl53_6,
inference(avatar_contradiction_clause,[],[f2803]) ).
fof(f2805,plain,
( ~ rline(vd1295)
| ~ ron(vd1329,vd1295)
| ~ spl53_7 ),
inference(resolution,[],[f2779,f844]) ).
fof(f2814,plain,
( ~ ron(vd1329,vd1295)
| ~ spl53_7 ),
inference(forward_subsumption_resolution,[],[f2805,f752]) ).
fof(f2819,plain,
( $false
| ~ spl53_7 ),
inference(forward_subsumption_resolution,[],[f2814,f679]) ).
fof(f2820,plain,
~ spl53_7,
inference(avatar_contradiction_clause,[],[f2819]) ).
fof(f4708,plain,
( spl53_6
| spl53_7 ),
inference(avatar_split_clause,[],[f1902,f2778,f2775]) ).
cnf(s5,plain,
~ spl53_6,
inference(sat_conversion,[],[f2804]) ).
cnf(s7,plain,
~ spl53_7,
inference(sat_conversion,[],[f2820]) ).
cnf(s27,plain,
( spl53_6
| spl53_7 ),
inference(sat_conversion,[],[f4708]) ).
cnf(s29,plain,
spl53_6,
inference(rat,[],[s27,s7]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s5,s29]) ).
fof(f4709,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO320+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:04:21 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.08/2.55 % (4096054)Detected formulas, will run a generic FOF schedule.
% 11.08/2.55 % (4096063)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1332787360:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.08/2.55 % (4096063)Instruction limit reached!
% 11.08/2.55 % (4096063)------------------------------
% 11.08/2.55 % (4096063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096063)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096063)Termination reason: Instruction limit
% 11.08/2.55 % (4096063)Termination phase: Saturation
% 11.08/2.55 % (4096063)Time elapsed: 0.037 s
% 11.08/2.55 % (4096063)Peak memory usage: 89 MB
% 11.08/2.55 % (4096063)Instructions burned: 120 (million)
% 11.08/2.55 % (4096062)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1656610996:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.08/2.55 % (4096061)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=2203533374:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.08/2.55 % (4096059)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=1900357753:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.08/2.55 % (4096060)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=3375581454:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.08/2.55 % (4096064)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1340650839:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.08/2.55 % (4096065)dis-21_1_sil=8000:lcm=predicate:random_seed=2777771535:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.08/2.55 % (4096062)Instruction limit reached!
% 11.08/2.55 % (4096062)------------------------------
% 11.08/2.55 % (4096062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096062)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096062)Termination reason: Instruction limit
% 11.08/2.55 % (4096062)Termination phase: Saturation
% 11.08/2.55 % (4096062)Time elapsed: 0.059 s
% 11.08/2.55 % (4096062)Peak memory usage: 89 MB
% 11.08/2.55 % (4096062)Instructions burned: 109 (million)
% 11.08/2.55 % (4096065)Instruction limit reached!
% 11.08/2.55 % (4096065)------------------------------
% 11.08/2.55 % (4096065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096065)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096065)Termination reason: Instruction limit
% 11.08/2.55 % (4096065)Termination phase: Saturation
% 11.08/2.55 % (4096065)Time elapsed: 0.069 s
% 11.08/2.55 % (4096065)Peak memory usage: 90 MB
% 11.08/2.55 % (4096065)Instructions burned: 131 (million)
% 11.08/2.55 % (4096064)Instruction limit reached!
% 11.08/2.55 % (4096064)------------------------------
% 11.08/2.55 % (4096064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096064)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096064)Termination reason: Instruction limit
% 11.08/2.55 % (4096064)Termination phase: Saturation
% 11.08/2.55 % (4096064)Time elapsed: 0.086 s
% 11.08/2.55 % (4096064)Peak memory usage: 90 MB
% 11.08/2.55 % (4096064)Instructions burned: 139 (million)
% 11.08/2.55 % (4096073)lrs+10_1_sil=8000:sp=occurrence:random_seed=2692957530:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.08/2.55 % (4096073)Instruction limit reached!
% 11.08/2.55 % (4096073)------------------------------
% 11.08/2.55 % (4096073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096073)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096073)Termination reason: Instruction limit
% 11.08/2.55 % (4096073)Termination phase: Saturation
% 11.08/2.55 % (4096073)Time elapsed: 0.085 s
% 11.08/2.55 % (4096073)Peak memory usage: 92 MB
% 11.08/2.55 % (4096073)Instructions burned: 289 (million)
% 11.08/2.55 % (4096074)lrs+10_1_sil=32000:urr=on:br=off:random_seed=230538054:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.08/2.55 % (4096075)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3284880015:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.08/2.55 % (4096076)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=2413095812:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.08/2.55 % (4096074)Instruction limit reached!
% 11.08/2.55 % (4096074)------------------------------
% 11.08/2.55 % (4096074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096074)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096074)Termination reason: Instruction limit
% 11.08/2.55 % (4096074)Termination phase: Saturation
% 11.08/2.55 % (4096074)Time elapsed: 0.075 s
% 11.08/2.55 % (4096074)Peak memory usage: 90 MB
% 11.08/2.55 % (4096074)Instructions burned: 159 (million)
% 11.08/2.55 % (4096079)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3362630906:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 11.08/2.55 % (4096076)Instruction limit reached!
% 11.08/2.55 % (4096076)------------------------------
% 11.08/2.55 % (4096076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096076)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096076)Termination reason: Instruction limit
% 11.08/2.55 % (4096076)Termination phase: Saturation
% 11.08/2.55 % (4096076)Time elapsed: 0.120 s
% 11.08/2.55 % (4096076)Peak memory usage: 90 MB
% 11.08/2.55 % (4096076)Instructions burned: 249 (million)
% 11.08/2.55 % (4096075)Instruction limit reached!
% 11.08/2.55 % (4096075)------------------------------
% 11.08/2.55 % (4096075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096075)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096075)Termination reason: Instruction limit
% 11.08/2.55 % (4096075)Termination phase: Saturation
% 11.08/2.55 % (4096075)Time elapsed: 0.153 s
% 11.08/2.55 % (4096075)Peak memory usage: 90 MB
% 11.08/2.55 % (4096075)Instructions burned: 325 (million)
% 11.08/2.55 % (4096079)Instruction limit reached!
% 11.08/2.55 % (4096079)------------------------------
% 11.08/2.55 % (4096079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096079)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096079)Termination reason: Instruction limit
% 11.08/2.55 % (4096079)Termination phase: Saturation
% 11.08/2.55 % (4096079)Time elapsed: 0.071 s
% 11.08/2.55 % (4096079)Peak memory usage: 89 MB
% 11.08/2.55 % (4096079)Instructions burned: 298 (million)
% 11.08/2.55 % (4096082)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3903590652:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.08/2.55 % (4096085)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3750632513:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 11.08/2.55 % (4096084)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2285382900:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.08/2.55 % (4096085)Refutation not found, incomplete strategy
% 11.08/2.55 % (4096085)------------------------------
% 11.08/2.55 % (4096085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096085)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096085)Termination reason: Refutation not found, incomplete strategy
% 11.08/2.55 % (4096085)Time elapsed: 0.022 s
% 11.08/2.55 % (4096085)Peak memory usage: 88 MB
% 11.08/2.55 % (4096085)Instructions burned: 44 (million)
% 11.08/2.55 % (4096086)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=258969274:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 11.08/2.55 % (4096086)Instruction limit reached!
% 11.08/2.55 % (4096086)------------------------------
% 11.08/2.55 % (4096086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096086)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096086)Termination reason: Instruction limit
% 11.08/2.55 % (4096086)Termination phase: Saturation
% 11.08/2.55 % (4096086)Time elapsed: 0.026 s
% 11.08/2.55 % (4096086)Peak memory usage: 89 MB
% 11.08/2.55 % (4096086)Instructions burned: 117 (million)
% 11.08/2.55 % (4096084)Instruction limit reached!
% 11.08/2.55 % (4096084)------------------------------
% 11.08/2.55 % (4096084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096084)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096084)Termination reason: Instruction limit
% 11.08/2.55 % (4096084)Termination phase: Saturation
% 11.08/2.55 % (4096084)Time elapsed: 0.061 s
% 11.08/2.55 % (4096084)Peak memory usage: 90 MB
% 11.08/2.55 % (4096084)Instructions burned: 113 (million)
% 11.08/2.55 % (4096091)lrs+10_1_sil=8000:sp=occurrence:random_seed=3790356012:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 11.08/2.55 % (4096092)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1830883395:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 11.08/2.55 % (4096092)Refutation not found, incomplete strategy
% 11.08/2.55 % (4096092)------------------------------
% 11.08/2.55 % (4096092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096092)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096092)Termination reason: Refutation not found, incomplete strategy
% 11.08/2.55 % (4096092)Time elapsed: 0.018 s
% 11.08/2.55 % (4096092)Peak memory usage: 90 MB
% 11.08/2.55 % (4096092)Instructions burned: 34 (million)
% 11.08/2.55 % (4096085)------------------------------
% 11.08/2.55 % (4096085)------------------------------
% 11.08/2.55 % (4096091)Instruction limit reached!
% 11.08/2.55 % (4096091)------------------------------
% 11.08/2.55 % (4096091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096091)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096091)Termination reason: Instruction limit
% 11.08/2.55 % (4096091)Termination phase: Saturation
% 11.08/2.55 % (4096091)Time elapsed: 0.254 s
% 11.08/2.55 % (4096091)Peak memory usage: 96 MB
% 11.08/2.55 % (4096091)Instructions burned: 911 (million)
% 11.08/2.55 % (4096095)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4150723038:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 11.08/2.55 % (4096092)------------------------------
% 11.08/2.55 % (4096092)------------------------------
% 11.08/2.55 % (4096096)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3150153416:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.08/2.55 % (4096096)Instruction limit reached!
% 11.08/2.55 % (4096096)------------------------------
% 11.08/2.55 % (4096096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/2.55 % (4096096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/2.55 % (4096096)CaDiCaL version: 2.1.3
% 11.08/2.55 % (4096096)Termination reason: Instruction limit
% 11.08/2.55 % (4096096)Termination phase: Saturation
% 11.08/2.55 % (4096096)Time elapsed: 0.036 s
% 11.08/2.55 % (4096096)Peak memory usage: 93 MB
% 11.08/2.55 % (4096096)Instructions burned: 139 (million)
% 11.08/2.55 % (4096098)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=80922742:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 11.08/2.55 % (4096100)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=575091334:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 11.08/2.55 % (4096098)First to succeed.
% 11.08/2.55 % (4096098)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4096054"
% 11.08/2.55 % (4096098)Refutation found. Thanks to Tanya!
% 11.08/2.55 % SZS status Theorem for theBenchmark
% 11.08/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.47/2.75 % (4096098)------------------------------
% 12.47/2.75 % (4096098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.75 % (4096098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.75 % (4096098)CaDiCaL version: 2.1.3
% 12.47/2.75 % (4096098)Termination reason: Refutation
% 12.47/2.75 % (4096098)Time elapsed: 0.110 s
% 12.47/2.75 % (4096098)Peak memory usage: 92 MB
% 12.47/2.75 % (4096098)Instructions burned: 204 (million)
% 12.47/2.75 % (4096098)------------------------------
% 12.47/2.75 % (4096098)------------------------------
% 12.47/2.75 % (4096054)Success in time 1.687 s
% 12.47/2.75 % Vampire exiting
%------------------------------------------------------------------------------