%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO336+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 : n020.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 09:52:31 AM UTC 2026
% Result : Theorem 7.33s 2.05s
% Output : Refutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 120 ( 29 unt; 4 def)
% Number of atoms : 583 ( 229 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 815 ( 352 ~; 398 |; 58 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-8 aty)
% Number of variables : 257 ( 0 sgn 247 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( vf(vd1363,X0) = vf(vd1361,vd1362)
& rR(X0,vd1361,vd1363)
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(396)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( vf(vd1363,X0) = vf(vd1361,vd1362)
& rR(X0,vd1361,vd1363)
& rpoint(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(395, 1377, 0)') ).
fof(f5,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f7,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rless(vf(X4,X6),vf(X0,X2))
& X4 != X6
& X0 != X2
& X6 = X7
& rpoint(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f11,axiom,
? [X0] :
( vd1362 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof(f15,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f21,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(f44,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).
fof(f45,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).
fof(f46,axiom,
? [X0] :
( vd1363 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof(f47,axiom,
? [X0] :
( vd1361 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof(f132,plain,
! [X0] :
( vf(vd1363,X0) != vf(vd1361,vd1362)
| ~ rR(X0,vd1361,vd1363)
| ~ rpoint(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f137]) ).
fof(f149,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f150,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f149]) ).
fof(f161,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,[],[f21]) ).
fof(f162,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,[],[f161]) ).
fof(f351,plain,
( vd1362 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f11]) ).
fof(f369,plain,
( vd1363 = sK10
& rpoint(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f46]) ).
fof(f370,plain,
( vd1361 = sK11
& rpoint(sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f47]) ).
fof(f429,plain,
! [X0] :
( vf(vd1363,X0) != vf(vd1361,vd1362)
| ~ rR(X0,vd1361,vd1363)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f430,plain,
rless(vf(vd1361,vd1362),vf(vd1361,vd1363)),
inference(cnf_transformation,[],[f3]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rless(vf(X4,X6),vf(X0,X2))
| X4 = X6
| X0 = X2
| X6 != X7
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f440,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f351]) ).
fof(f441,plain,
vd1362 = sK1,
inference(cnf_transformation,[],[f351]) ).
fof(f449,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f457,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,[],[f162]) ).
fof(f504,plain,
vd1363 != vd1361,
inference(cnf_transformation,[],[f44]) ).
fof(f505,plain,
vd1361 != vd1362,
inference(cnf_transformation,[],[f45]) ).
fof(f506,plain,
rpoint(sK10),
inference(cnf_transformation,[],[f369]) ).
fof(f507,plain,
vd1363 = sK10,
inference(cnf_transformation,[],[f369]) ).
fof(f508,plain,
rpoint(sK11),
inference(cnf_transformation,[],[f370]) ).
fof(f509,plain,
vd1361 = sK11,
inference(cnf_transformation,[],[f370]) ).
fof(f690,plain,
! [X0] :
( vf(sK10,X0) != vf(sK11,sK1)
| ~ rR(X0,sK11,sK10)
| ~ rpoint(X0) ),
inference(definition_unfolding,[],[f429,f507,f509,f441,f509,f507]) ).
fof(f691,plain,
rless(vf(sK11,sK1),vf(sK11,sK10)),
inference(definition_unfolding,[],[f430,f509,f441,f509,f507]) ).
fof(f702,plain,
sK10 != sK11,
inference(definition_unfolding,[],[f504,f507,f509]) ).
fof(f703,plain,
sK1 != sK11,
inference(definition_unfolding,[],[f505,f509,f441]) ).
fof(f707,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vf(X4,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7))
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f432]) ).
fof(f708,plain,
! [X2,X3,X0,X1,X7,X5] :
( vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f707]) ).
fof(f709,plain,
! [X3,X0,X1,X7,X5] :
( vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f708]) ).
fof(f710,plain,
! [X3,X1,X7,X5] :
( ~ rless(vf(X5,X7),vf(X1,X3))
| vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f709]) ).
fof(f711,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7),X0,X2)
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f433]) ).
fof(f712,plain,
! [X2,X3,X0,X1,X7,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7),X0,X2)
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f711]) ).
fof(f713,plain,
! [X3,X0,X1,X7,X5] :
( rR(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7),X0,X3)
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f712]) ).
fof(f714,plain,
! [X3,X1,X7,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f713]) ).
fof(f715,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7))
| ~ rless(vf(X4,X7),vf(X0,X2))
| X4 = X7
| X0 = X2
| ~ rpoint(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f434]) ).
fof(f716,plain,
! [X2,X3,X0,X1,X7,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X2))
| X5 = X7
| X0 = X2
| ~ rpoint(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f715]) ).
fof(f717,plain,
! [X3,X0,X1,X7,X5] :
( rpoint(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X0,X3))
| X5 = X7
| X0 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f716]) ).
fof(f718,plain,
! [X3,X1,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rless(vf(X5,X7),vf(X1,X3))
| X5 = X7
| X1 = X3
| ~ rpoint(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f717]) ).
fof(f760,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f449]) ).
fof(f761,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f760]) ).
fof(f796,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,[],[f457]) ).
fof(f797,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f796]) ).
fof(f798,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f797]) ).
fof(f1487,definition,
! [X0] : sF52(X0) = vf(sK10,X0),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1488,plain,
! [X0] : vf(sK10,X0) = sF52(X0),
inference(reorient_equations,[],[f1487]) ).
fof(f1489,definition,
sF53 = vf(sK11,sK1),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1490,plain,
vf(sK11,sK1) = sF53,
inference(reorient_equations,[],[f1489]) ).
fof(f1491,plain,
! [X0] :
( sF52(X0) != sF53
| ~ rR(X0,sK11,sK10)
| ~ rpoint(X0) ),
inference(definition_folding,[],[f690,f1490,f1488]) ).
fof(f1543,plain,
rless(sF53,vf(sK11,sK10)),
inference(superposition,[],[f691,f1490]) ).
fof(f1547,plain,
! [X0] :
( ~ rpoint(X0)
| vf(sK10,X0) = vf(X0,sK10) ),
inference(resolution,[],[f761,f506]) ).
fof(f1549,plain,
! [X0] :
( ~ rpoint(X0)
| sF52(X0) = vf(X0,sK10) ),
inference(forward_demodulation,[],[f1547,f1488]) ).
fof(f1550,plain,
vf(sK11,sK10) = sF52(sK11),
inference(resolution,[],[f1549,f508]) ).
fof(f1555,plain,
rless(sF53,sF52(sK11)),
inference(superposition,[],[f1543,f1550]) ).
fof(f1567,plain,
! [X2,X0,X1] :
( ~ rless(vf(X1,X2),sF52(X0))
| vf(X1,X2) = vf(sK10,vskolem1120(sK10,sK10,X0,X0,X1,X1,X2,X2))
| X1 = X2
| sK10 = X0
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK10) ),
inference(superposition,[],[f710,f1488]) ).
fof(f1575,plain,
! [X2,X0,X1] :
( ~ rless(vf(X1,X2),sF52(X0))
| vf(X1,X2) = vf(sK10,vskolem1120(sK10,sK10,X0,X0,X1,X1,X2,X2))
| X1 = X2
| sK10 = X0
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1567,f506]) ).
fof(f1584,plain,
! [X2,X0,X1] :
( ~ rless(vf(X1,X2),sF52(X0))
| vf(X1,X2) = sF52(vskolem1120(sK10,sK10,X0,X0,X1,X1,X2,X2))
| X1 = X2
| sK10 = X0
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_demodulation,[],[f1575,f1488]) ).
fof(f1620,plain,
! [X0] :
( ~ rless(sF53,sF52(X0))
| sF53 = sF52(vskolem1120(sK10,sK10,X0,X0,sK11,sK11,sK1,sK1))
| sK1 = sK11
| sK10 = X0
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| ~ rpoint(X0) ),
inference(superposition,[],[f1584,f1490]) ).
fof(f1626,plain,
! [X0] :
( ~ rless(sF53,sF52(X0))
| sF53 = sF52(vskolem1120(sK10,sK10,X0,X0,sK11,sK11,sK1,sK1))
| sK10 = X0
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1620,f703]) ).
fof(f1630,plain,
! [X0] :
( ~ rless(sF53,sF52(X0))
| sF53 = sF52(vskolem1120(sK10,sK10,X0,X0,sK11,sK11,sK1,sK1))
| sK10 = X0
| ~ rpoint(sK11)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1626,f440]) ).
fof(f1633,plain,
! [X0] :
( ~ rless(sF53,sF52(X0))
| sF53 = sF52(vskolem1120(sK10,sK10,X0,X0,sK11,sK11,sK1,sK1))
| sK10 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1630,f508]) ).
fof(f1634,plain,
( sF53 = sF52(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1))
| sK10 = sK11
| ~ rpoint(sK11) ),
inference(resolution,[],[f1633,f1555]) ).
fof(f1635,plain,
( sF53 = sF52(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1))
| ~ rpoint(sK11) ),
inference(forward_subsumption_resolution,[],[f1634,f702]) ).
fof(f1636,plain,
sF53 = sF52(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)),
inference(forward_subsumption_resolution,[],[f1635,f508]) ).
fof(f1639,plain,
( sF53 != sF53
| ~ rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK11,sK10)
| ~ rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) ),
inference(superposition,[],[f1491,f1636]) ).
fof(f1640,plain,
( ~ rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK11,sK10)
| ~ rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) ),
inference(trivial_inequality_removal,[],[f1639]) ).
fof(f1642,definition,
( spl54_17
<=> rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl54_17])],[avatar_definition]) ).
fof(f1644,plain,
( ~ rpoint(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1))
| spl54_17 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1646,definition,
( spl54_18
<=> rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK11,sK10) ),
introduced(definition,[new_symbols(definition,[spl54_18])],[avatar_definition]) ).
fof(f1648,plain,
( ~ rR(vskolem1120(sK10,sK10,sK11,sK11,sK11,sK11,sK1,sK1),sK11,sK10)
| spl54_18 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f1649,plain,
( ~ spl54_17
| ~ spl54_18 ),
inference(avatar_split_clause,[],[f1640,f1646,f1642]) ).
fof(f1729,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK1 = sK11
| sK10 = sK11
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| spl54_17 ),
inference(resolution,[],[f718,f1644]) ).
fof(f1732,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK1 = sK11
| sK10 = sK11
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| spl54_17 ),
inference(duplicate_literal_removal,[],[f1729]) ).
fof(f1733,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK10 = sK11
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| spl54_17 ),
inference(forward_subsumption_resolution,[],[f1732,f703]) ).
fof(f1734,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| spl54_17 ),
inference(forward_subsumption_resolution,[],[f1733,f702]) ).
fof(f1735,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| ~ rpoint(sK11)
| ~ rpoint(sK10)
| spl54_17 ),
inference(forward_subsumption_resolution,[],[f1734,f440]) ).
fof(f1736,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| ~ rpoint(sK10)
| spl54_17 ),
inference(forward_subsumption_resolution,[],[f1735,f508]) ).
fof(f1737,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| spl54_17 ),
inference(forward_subsumption_resolution,[],[f1736,f506]) ).
fof(f1738,plain,
( ~ rless(vf(sK11,sK1),sF52(sK11))
| spl54_17 ),
inference(forward_demodulation,[],[f1737,f1488]) ).
fof(f1739,plain,
( ~ rless(sF53,sF52(sK11))
| spl54_17 ),
inference(forward_demodulation,[],[f1738,f1490]) ).
fof(f1740,plain,
( $false
| spl54_17 ),
inference(forward_subsumption_resolution,[],[f1739,f1555]) ).
fof(f1741,plain,
spl54_17,
inference(avatar_contradiction_clause,[],[f1740]) ).
fof(f1757,plain,
! [X2,X3,X0,X1] :
( rR(vskolem1120(X0,X0,X1,X1,X2,X2,X3,X3),X1,X0)
| ~ rpoint(X1)
| ~ rpoint(vskolem1120(X0,X0,X1,X1,X2,X2,X3,X3))
| ~ rpoint(X0)
| ~ rless(vf(X2,X3),vf(X0,X1))
| X2 = X3
| X0 = X1
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f798,f714]) ).
fof(f1758,plain,
! [X2,X3,X0,X1] :
( rR(vskolem1120(X0,X0,X1,X1,X2,X2,X3,X3),X1,X0)
| ~ rpoint(X1)
| ~ rpoint(vskolem1120(X0,X0,X1,X1,X2,X2,X3,X3))
| ~ rpoint(X0)
| ~ rless(vf(X2,X3),vf(X0,X1))
| X2 = X3
| X0 = X1
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1757]) ).
fof(f1759,plain,
! [X2,X3,X0,X1] :
( rR(vskolem1120(X0,X0,X1,X1,X2,X2,X3,X3),X1,X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rless(vf(X2,X3),vf(X0,X1))
| X2 = X3
| X0 = X1
| ~ rpoint(X3)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1758,f718]) ).
fof(f1760,plain,
( ~ rpoint(sK11)
| ~ rpoint(sK10)
| ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK1 = sK11
| sK10 = sK11
| ~ rpoint(sK1)
| ~ rpoint(sK11)
| spl54_18 ),
inference(resolution,[],[f1759,f1648]) ).
fof(f1763,plain,
( ~ rpoint(sK11)
| ~ rpoint(sK10)
| ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK1 = sK11
| sK10 = sK11
| ~ rpoint(sK1)
| spl54_18 ),
inference(duplicate_literal_removal,[],[f1760]) ).
fof(f1764,plain,
( ~ rpoint(sK10)
| ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK1 = sK11
| sK10 = sK11
| ~ rpoint(sK1)
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f1763,f508]) ).
fof(f1765,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK1 = sK11
| sK10 = sK11
| ~ rpoint(sK1)
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f1764,f506]) ).
fof(f1766,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| sK10 = sK11
| ~ rpoint(sK1)
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f1765,f703]) ).
fof(f1767,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| ~ rpoint(sK1)
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f1766,f702]) ).
fof(f1768,plain,
( ~ rless(vf(sK11,sK1),vf(sK10,sK11))
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f1767,f440]) ).
fof(f1769,plain,
( ~ rless(vf(sK11,sK1),sF52(sK11))
| spl54_18 ),
inference(forward_demodulation,[],[f1768,f1488]) ).
fof(f1770,plain,
( ~ rless(sF53,sF52(sK11))
| spl54_18 ),
inference(forward_demodulation,[],[f1769,f1490]) ).
fof(f1771,plain,
( $false
| spl54_18 ),
inference(forward_subsumption_resolution,[],[f1770,f1555]) ).
fof(f1772,plain,
spl54_18,
inference(avatar_contradiction_clause,[],[f1771]) ).
cnf(s16,plain,
( ~ spl54_17
| ~ spl54_18 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s21,plain,
spl54_17,
inference(sat_conversion,[],[f1741]) ).
cnf(s22,plain,
spl54_18,
inference(sat_conversion,[],[f1772]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s16,s22,s21]) ).
fof(f1773,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO336+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n020.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 08:07:49 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.45 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
% 7.33/2.05 % (3082251)Detected formulas, will run a generic FOF schedule.
% 7.33/2.05 % (3082260)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2663453624:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.33/2.05 % (3082260)Instruction limit reached!
% 7.33/2.05 % (3082260)------------------------------
% 7.33/2.05 % (3082260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082260)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082260)Termination reason: Instruction limit
% 7.33/2.05 % (3082260)Termination phase: Saturation
% 7.33/2.05 % (3082260)Time elapsed: 0.034 s
% 7.33/2.05 % (3082260)Peak memory usage: 89 MB
% 7.33/2.05 % (3082260)Instructions burned: 121 (million)
% 7.33/2.05 % (3082258)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=1703984673:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.33/2.05 % (3082257)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=937753718:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.33/2.05 % (3082256)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=797290128:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.33/2.05 % (3082262)dis-21_1_sil=8000:lcm=predicate:random_seed=4055412594: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)
% 7.33/2.05 % (3082259)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2843954825:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.33/2.05 % (3082261)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2058769137:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.33/2.05 % (3082259)Refutation not found, incomplete strategy
% 7.33/2.05 % (3082259)------------------------------
% 7.33/2.05 % (3082259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082259)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082259)Termination reason: Refutation not found, incomplete strategy
% 7.33/2.05 % (3082259)Time elapsed: 0.004 s
% 7.33/2.05 % (3082259)Peak memory usage: 88 MB
% 7.33/2.05 % (3082259)Instructions burned: 3 (million)
% 7.33/2.05 % (3082262)Instruction limit reached!
% 7.33/2.05 % (3082262)------------------------------
% 7.33/2.05 % (3082262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082262)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082262)Termination reason: Instruction limit
% 7.33/2.05 % (3082262)Termination phase: Saturation
% 7.33/2.05 % (3082262)Time elapsed: 0.055 s
% 7.33/2.05 % (3082262)Peak memory usage: 89 MB
% 7.33/2.05 % (3082262)Instructions burned: 129 (million)
% 7.33/2.05 % (3082261)Instruction limit reached!
% 7.33/2.05 % (3082261)------------------------------
% 7.33/2.05 % (3082261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082261)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082261)Termination reason: Instruction limit
% 7.33/2.05 % (3082261)Termination phase: Saturation
% 7.33/2.05 % (3082261)Time elapsed: 0.087 s
% 7.33/2.05 % (3082261)Peak memory usage: 90 MB
% 7.33/2.05 % (3082261)Instructions burned: 139 (million)
% 7.33/2.05 % (3082264)lrs+10_1_sil=8000:sp=occurrence:random_seed=3877425764:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.33/2.05 % (3082264)Instruction limit reached!
% 7.33/2.05 % (3082264)------------------------------
% 7.33/2.05 % (3082264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082264)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082264)Termination reason: Instruction limit
% 7.33/2.05 % (3082264)Termination phase: Saturation
% 7.33/2.05 % (3082264)Time elapsed: 0.082 s
% 7.33/2.05 % (3082264)Peak memory usage: 91 MB
% 7.33/2.05 % (3082264)Instructions burned: 286 (million)
% 7.33/2.05 % (3082271)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3274697755:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.33/2.05 % (3082259)------------------------------
% 7.33/2.05 % (3082259)------------------------------
% 7.33/2.05 % (3082272)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3988928216:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.33/2.05 % (3082271)Instruction limit reached!
% 7.33/2.05 % (3082271)------------------------------
% 7.33/2.05 % (3082271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082271)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082271)Termination reason: Instruction limit
% 7.33/2.05 % (3082271)Termination phase: Saturation
% 7.33/2.05 % (3082271)Time elapsed: 0.072 s
% 7.33/2.05 % (3082271)Peak memory usage: 91 MB
% 7.33/2.05 % (3082271)Instructions burned: 159 (million)
% 7.33/2.05 % (3082274)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=1455654812:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.33/2.05 % (3082274)Instruction limit reached!
% 7.33/2.05 % (3082274)------------------------------
% 7.33/2.05 % (3082274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082274)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082274)Termination reason: Instruction limit
% 7.33/2.05 % (3082274)Termination phase: Saturation
% 7.33/2.05 % (3082274)Time elapsed: 0.061 s
% 7.33/2.05 % (3082274)Peak memory usage: 93 MB
% 7.33/2.05 % (3082274)Instructions burned: 250 (million)
% 7.33/2.05 % (3082277)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=91956232:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.33/2.05 % (3082272)Instruction limit reached!
% 7.33/2.05 % (3082272)------------------------------
% 7.33/2.05 % (3082272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082272)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082272)Termination reason: Instruction limit
% 7.33/2.05 % (3082272)Termination phase: Saturation
% 7.33/2.05 % (3082272)Time elapsed: 0.175 s
% 7.33/2.05 % (3082272)Peak memory usage: 91 MB
% 7.33/2.05 % (3082272)Instructions burned: 325 (million)
% 7.33/2.05 % (3082278)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2245086842:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.33/2.05 % (3082280)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=907207383:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.33/2.05 % (3082280)Instruction limit reached!
% 7.33/2.05 % (3082280)------------------------------
% 7.33/2.05 % (3082280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082280)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082280)Termination reason: Instruction limit
% 7.33/2.05 % (3082280)Termination phase: Saturation
% 7.33/2.05 % (3082280)Time elapsed: 0.034 s
% 7.33/2.05 % (3082280)Peak memory usage: 89 MB
% 7.33/2.05 % (3082280)Instructions burned: 115 (million)
% 7.33/2.05 % (3082277)Instruction limit reached!
% 7.33/2.05 % (3082277)------------------------------
% 7.33/2.05 % (3082277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082277)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082277)Termination reason: Instruction limit
% 7.33/2.05 % (3082277)Termination phase: Saturation
% 7.33/2.05 % (3082277)Time elapsed: 0.160 s
% 7.33/2.05 % (3082277)Peak memory usage: 90 MB
% 7.33/2.05 % (3082277)Instructions burned: 294 (million)
% 7.33/2.05 % (3082283)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1965186651:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.33/2.05 % (3082283)Refutation not found, incomplete strategy
% 7.33/2.05 % (3082283)------------------------------
% 7.33/2.05 % (3082283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082283)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082283)Termination reason: Refutation not found, incomplete strategy
% 7.33/2.05 % (3082283)Time elapsed: 0.026 s
% 7.33/2.05 % (3082283)Peak memory usage: 89 MB
% 7.33/2.05 % (3082283)Instructions burned: 54 (million)
% 7.33/2.05 % (3082285)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3120315628:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.33/2.05 % (3082256)First to succeed.
% 7.33/2.05 % (3082256)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3082251"
% 7.33/2.05 % (3082286)lrs+10_1_sil=8000:sp=occurrence:random_seed=2713898334:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.33/2.05 % (3082285)Instruction limit reached!
% 7.33/2.05 % (3082285)------------------------------
% 7.33/2.05 % (3082285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/2.05 % (3082285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/2.05 % (3082285)CaDiCaL version: 2.1.3
% 7.33/2.05 % (3082285)Termination reason: Instruction limit
% 7.33/2.05 % (3082285)Termination phase: Saturation
% 7.33/2.05 % (3082285)Time elapsed: 0.061 s
% 7.33/2.05 % (3082285)Peak memory usage: 89 MB
% 7.33/2.05 % (3082285)Instructions burned: 114 (million)
% 7.33/2.05 % (3082283)------------------------------
% 7.33/2.05 % (3082283)------------------------------
% 7.33/2.05 % (3082290)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3458390985:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.33/2.05 % (3082256)Refutation found. Thanks to Tanya!
% 7.33/2.05 % SZS status Theorem for theBenchmark
% 7.33/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 8.79/2.25 % (3082256)------------------------------
% 8.79/2.25 % (3082256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.79/2.25 % (3082256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.79/2.25 % (3082256)CaDiCaL version: 2.1.3
% 8.79/2.25 % (3082256)Termination reason: Refutation
% 8.79/2.25 % (3082256)Time elapsed: 0.714 s
% 8.79/2.25 % (3082256)Peak memory usage: 134 MB
% 8.79/2.25 % (3082256)Instructions burned: 1087 (million)
% 8.79/2.25 % (3082256)------------------------------
% 8.79/2.25 % (3082256)------------------------------
% 8.79/2.25 % (3082251)Success in time 1.16 s
% 8.79/2.25 % Vampire exiting
%------------------------------------------------------------------------------