%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV616+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:58:26 PM UTC 2026
% Result : Theorem 11.91s 3.81s
% Output : Refutation 22.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 18 unt; 1 def)
% Number of atoms : 191 ( 16 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 210 ( 80 ~; 75 |; 41 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-6 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-5 aty)
% Number of variables : 151 ( 0 sgn 141 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
~ p(c_24False),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_COQ_FALSE') ).
fof(f127,axiom,
! [X0,X1,X2] :
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
<=> ! [X3] :
( t(X3,X0)
=> ! [X4] :
( t(X4,X0)
=> ( p(happ(happ(X1,X3),X4))
=> p(happ(happ(X2,X3),X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Relations.Relation_Definitions.inclusion') ).
fof(f130,axiom,
! [X0,X1,X2] :
( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,X2)
<=> ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
& cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_Coq.Relations.Relation_Definitions.same_relation') ).
fof(f209,axiom,
! [X0,X1,X2,X3,X4,X5] :
( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5)
<=> ? [X6] :
( t(X6,X0)
& ? [X7] :
( t(X7,X0)
& p(happ(happ(X3,X6),X7))
& happ(X2,X6) = X4
& happ(X2,X7) = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_hahn.HahnRelationsBasic.collect_rel') ).
fof(f555,axiom,
! [X0,X1] :
( c_24__lam__35673___24a2(X0,X1)
<=> p(c_24False) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_lam_35673') ).
fof(f581,axiom,
! [X0,X1] :
( c_24__lam__75262___24a2(X0,X1)
<=> p(c_24False) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_lam_75262') ).
fof(f1899,axiom,
! [X0,X1] :
( p(happ(happ(c_24__lam__75262,X0),X1))
<=> c_24__lam__75262___24a2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_$_lam_75262_$a2') ).
fof(f2049,axiom,
! [X0,X1] :
( p(happ(happ(c_24__lam__35673,X0),X1))
<=> c_24__lam__35673___24a2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_$_lam_35673_$a2') ).
fof(f2220,axiom,
! [X0,X1,X2,X3,X4,X5] :
( p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X0),X1),X2),X3),X4),X5))
<=> chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_hahn.HahnRelationsBasic.collect_rel_$a6') ).
fof(f2431,axiom,
! [X0,X1,X2,X3] : happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X0),X1),X2),X3) = chahn_2eHahnRelationsBasic_2ecollect__rel___24a4(X0,X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_hahn.HahnRelationsBasic.collect_rel_$a4') ).
fof(f2863,conjecture,
cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,chahn_2eHahnRelationsBasic_2ecollect__rel___24a4(cA,cB,cf,c_24__lam__35673),c_24__lam__75262),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2864,negated_conjecture,
~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,chahn_2eHahnRelationsBasic_2ecollect__rel___24a4(cA,cB,cf,c_24__lam__35673),c_24__lam__75262),
inference(negated_conjecture,[status(cth)],[f2863]) ).
fof(f2865,plain,
~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,chahn_2eHahnRelationsBasic_2ecollect__rel___24a4(cA,cB,cf,c_24__lam__35673),c_24__lam__75262),
inference(flattening,[],[f2864]) ).
fof(f2959,plain,
! [X0,X1,X2] :
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
<=> ! [X3] :
( ! [X4] :
( p(happ(happ(X2,X3),X4))
| ~ p(happ(happ(X1,X3),X4))
| ~ t(X4,X0) )
| ~ t(X3,X0) ) ),
inference(ennf_transformation,[],[f127]) ).
fof(f2960,plain,
! [X0,X1,X2] :
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
<=> ! [X3] :
( ! [X4] :
( p(happ(happ(X2,X3),X4))
| ~ p(happ(happ(X1,X3),X4))
| ~ t(X4,X0) )
| ~ t(X3,X0) ) ),
inference(flattening,[],[f2959]) ).
fof(f3054,plain,
! [X0,X1] :
( ( p(happ(happ(c_24__lam__75262,X0),X1))
| ~ c_24__lam__75262___24a2(X0,X1) )
& ( c_24__lam__75262___24a2(X0,X1)
| ~ p(happ(happ(c_24__lam__75262,X0),X1)) ) ),
inference(nnf_transformation,[],[f1899]) ).
fof(f3055,plain,
! [X0,X1] :
( ( p(happ(happ(c_24__lam__35673,X0),X1))
| ~ c_24__lam__35673___24a2(X0,X1) )
& ( c_24__lam__35673___24a2(X0,X1)
| ~ p(happ(happ(c_24__lam__35673,X0),X1)) ) ),
inference(nnf_transformation,[],[f2049]) ).
fof(f3062,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X0),X1),X2),X3),X4),X5))
| ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5) )
& ( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5)
| ~ p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X0),X1),X2),X3),X4),X5)) ) ),
inference(nnf_transformation,[],[f2220]) ).
fof(f3068,plain,
! [X0,X1,X2] :
( ( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,X2)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X2,X1) )
& ( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
& cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X2,X1) )
| ~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f3069,plain,
! [X0,X1,X2] :
( ( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,X2)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X2,X1) )
& ( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
& cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X2,X1) )
| ~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,X2) ) ),
inference(flattening,[],[f3068]) ).
fof(f3070,plain,
! [X0,X1,X2] :
( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ? [X3] :
( ? [X4] :
( ~ p(happ(happ(X2,X3),X4))
& p(happ(happ(X1,X3),X4))
& t(X4,X0) )
& t(X3,X0) ) )
& ( ! [X3] :
( ! [X4] :
( p(happ(happ(X2,X3),X4))
| ~ p(happ(happ(X1,X3),X4))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f2960]) ).
fof(f3071,plain,
! [X0,X1,X2] :
( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ? [X3] :
( ? [X4] :
( ~ p(happ(happ(X2,X3),X4))
& p(happ(happ(X1,X3),X4))
& t(X4,X0) )
& t(X3,X0) ) )
& ( ! [X5] :
( ! [X6] :
( p(happ(happ(X2,X5),X6))
| ~ p(happ(happ(X1,X5),X6))
| ~ t(X6,X0) )
| ~ t(X5,X0) )
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ) ),
inference(rectify,[],[f3070]) ).
fof(f3072,plain,
! [X0,X1,X2] :
( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ( ~ p(happ(happ(X2,sK5(X0,X1,X2)),sK6(X0,X1,X2)))
& p(happ(happ(X1,sK5(X0,X1,X2)),sK6(X0,X1,X2)))
& t(sK6(X0,X1,X2),X0)
& t(sK5(X0,X1,X2),X0) ) )
& ( ! [X5] :
( ! [X6] :
( p(happ(happ(X2,X5),X6))
| ~ p(happ(happ(X1,X5),X6))
| ~ t(X6,X0) )
| ~ t(X5,X0) )
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK6(X0,X1,X2))],[f3071]) ).
fof(f3073,plain,
! [X0,X1] :
( ( c_24__lam__75262___24a2(X0,X1)
| ~ p(c_24False) )
& ( p(c_24False)
| ~ c_24__lam__75262___24a2(X0,X1) ) ),
inference(nnf_transformation,[],[f581]) ).
fof(f3074,plain,
! [X0,X1] :
( ( c_24__lam__35673___24a2(X0,X1)
| ~ p(c_24False) )
& ( p(c_24False)
| ~ c_24__lam__35673___24a2(X0,X1) ) ),
inference(nnf_transformation,[],[f555]) ).
fof(f3080,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5)
| ! [X6] :
( ~ t(X6,X0)
| ! [X7] :
( ~ t(X7,X0)
| ~ p(happ(happ(X3,X6),X7))
| happ(X2,X6) != X4
| happ(X2,X7) != X5 ) ) )
& ( ? [X6] :
( t(X6,X0)
& ? [X7] :
( t(X7,X0)
& p(happ(happ(X3,X6),X7))
& happ(X2,X6) = X4
& happ(X2,X7) = X5 ) )
| ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5) ) ),
inference(nnf_transformation,[],[f209]) ).
fof(f3081,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5)
| ! [X6] :
( ~ t(X6,X0)
| ! [X7] :
( ~ t(X7,X0)
| ~ p(happ(happ(X3,X6),X7))
| happ(X2,X6) != X4
| happ(X2,X7) != X5 ) ) )
& ( ? [X8] :
( t(X8,X0)
& ? [X9] :
( t(X9,X0)
& p(happ(happ(X3,X8),X9))
& happ(X2,X8) = X4
& happ(X2,X9) = X5 ) )
| ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5) ) ),
inference(rectify,[],[f3080]) ).
fof(f3082,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5)
| ! [X6] :
( ~ t(X6,X0)
| ! [X7] :
( ~ t(X7,X0)
| ~ p(happ(happ(X3,X6),X7))
| happ(X2,X6) != X4
| happ(X2,X7) != X5 ) ) )
& ( ( t(sK10(X0,X2,X3,X4,X5),X0)
& t(sK11(X0,X2,X3,X4,X5),X0)
& p(happ(happ(X3,sK10(X0,X2,X3,X4,X5)),sK11(X0,X2,X3,X4,X5)))
& happ(X2,sK10(X0,X2,X3,X4,X5)) = X4
& happ(X2,sK11(X0,X2,X3,X4,X5)) = X5 )
| ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X8,sK10(X0,X2,X3,X4,X5)),skolemize(X9,sK11(X0,X2,X3,X4,X5))],[f3081]) ).
fof(f3091,plain,
~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,chahn_2eHahnRelationsBasic_2ecollect__rel___24a4(cA,cB,cf,c_24__lam__35673),c_24__lam__75262),
inference(cnf_transformation,[],[f2865]) ).
fof(f3104,plain,
! [X2,X3,X0,X1] : happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X0),X1),X2),X3) = chahn_2eHahnRelationsBasic_2ecollect__rel___24a4(X0,X1,X2,X3),
inference(cnf_transformation,[],[f2431]) ).
fof(f3107,plain,
! [X0,X1] :
( ~ p(happ(happ(c_24__lam__75262,X0),X1))
| c_24__lam__75262___24a2(X0,X1) ),
inference(cnf_transformation,[],[f3054]) ).
fof(f3109,plain,
! [X0,X1] :
( ~ p(happ(happ(c_24__lam__35673,X0),X1))
| c_24__lam__35673___24a2(X0,X1) ),
inference(cnf_transformation,[],[f3055]) ).
fof(f3140,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,X0),X1),X2),X3),X4),X5))
| chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f3062]) ).
fof(f3174,plain,
! [X2,X0,X1] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X2,X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,X2) ),
inference(cnf_transformation,[],[f3069]) ).
fof(f3178,plain,
! [X2,X0,X1] :
( p(happ(happ(X1,sK5(X0,X1,X2)),sK6(X0,X1,X2)))
| cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ),
inference(cnf_transformation,[],[f3072]) ).
fof(f3180,plain,
! [X0,X1] :
( p(c_24False)
| ~ c_24__lam__75262___24a2(X0,X1) ),
inference(cnf_transformation,[],[f3073]) ).
fof(f3182,plain,
! [X0,X1] :
( p(c_24False)
| ~ c_24__lam__35673___24a2(X0,X1) ),
inference(cnf_transformation,[],[f3074]) ).
fof(f3245,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(X0,X1,X2,X3,X4,X5)
| p(happ(happ(X3,sK10(X0,X2,X3,X4,X5)),sK11(X0,X2,X3,X4,X5))) ),
inference(cnf_transformation,[],[f3082]) ).
fof(f3284,plain,
~ p(c_24False),
inference(cnf_transformation,[],[f2]) ).
fof(f3285,plain,
~ cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),
inference(definition_unfolding,[],[f3091,f3104]) ).
fof(f3296,plain,
! [X0,X1] : ~ c_24__lam__35673___24a2(X0,X1),
inference(forward_subsumption_resolution,[],[f3182,f3284]) ).
fof(f3297,plain,
! [X0,X1] : ~ c_24__lam__75262___24a2(X0,X1),
inference(forward_subsumption_resolution,[],[f3180,f3284]) ).
fof(f3331,plain,
! [X0,X1] :
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,c_24__lam__75262,X1)
| c_24__lam__75262___24a2(sK5(X0,c_24__lam__75262,X1),sK6(X0,c_24__lam__75262,X1)) ),
inference(resolution,[],[f3178,f3107]) ).
fof(f3334,plain,
! [X0,X1] : cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,c_24__lam__75262,X1),
inference(forward_subsumption_resolution,[],[f3331,f3297]) ).
fof(f3336,plain,
! [X0,X1] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,c_24__lam__75262)
| cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(X0,X1,c_24__lam__75262) ),
inference(resolution,[],[f3334,f3174]) ).
fof(f10166,definition,
( spl19_59
<=> p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262))) ),
introduced(definition,[new_symbols(definition,[spl19_59])],[avatar_definition]) ).
fof(f10167,plain,
( p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)))
| ~ spl19_59 ),
inference(avatar_component_clause,[],[f10166]) ).
fof(f10168,plain,
( ~ p(happ(happ(happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)))
| spl19_59 ),
inference(avatar_component_clause,[],[f10166]) ).
fof(f10234,plain,
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)
| spl19_59 ),
inference(resolution,[],[f10168,f3178]) ).
fof(f10245,plain,
( cCoq_2eRelations_2eRelation__Definitions_2esame__relation___24a3(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)
| spl19_59 ),
inference(resolution,[],[f10234,f3336]) ).
fof(f10251,plain,
( $false
| spl19_59 ),
inference(forward_subsumption_resolution,[],[f10245,f3285]) ).
fof(f10252,plain,
spl19_59,
inference(avatar_contradiction_clause,[],[f10251]) ).
fof(f10263,plain,
( chahn_2eHahnRelationsBasic_2ecollect__rel___24a6(cA,cB,cf,c_24__lam__35673,sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262))
| ~ spl19_59 ),
inference(resolution,[],[f10167,f3140]) ).
fof(f10396,plain,
( p(happ(happ(c_24__lam__35673,sK10(cA,cf,c_24__lam__35673,sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262))),sK11(cA,cf,c_24__lam__35673,sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262))))
| ~ spl19_59 ),
inference(resolution,[],[f10263,f3245]) ).
fof(f10650,plain,
( c_24__lam__35673___24a2(sK10(cA,cf,c_24__lam__35673,sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)),sK11(cA,cf,c_24__lam__35673,sK5(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262),sK6(cB,happ(happ(happ(happ(chahn_2eHahnRelationsBasic_2ecollect__rel,cA),cB),cf),c_24__lam__35673),c_24__lam__75262)))
| ~ spl19_59 ),
inference(resolution,[],[f10396,f3109]) ).
fof(f10662,plain,
( $false
| ~ spl19_59 ),
inference(forward_subsumption_resolution,[],[f10650,f3296]) ).
fof(f10663,plain,
~ spl19_59,
inference(avatar_contradiction_clause,[],[f10662]) ).
cnf(s42,plain,
spl19_59,
inference(sat_conversion,[],[f10252]) ).
cnf(s73,plain,
~ spl19_59,
inference(sat_conversion,[],[f10663]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s42,s73]) ).
fof(f10664,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV616+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 06:42:42 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.79/2.11 % (598555)Detected formulas, will run a generic FOF schedule.
% 9.79/2.11 % (598565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1403005965:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.79/2.11 % (598564)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2200962114:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.79/2.11 % (598560)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=941293928:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.79/2.11 % (598563)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2911902924:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.79/2.11 % (598561)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=3935324649:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.79/2.11 % (598562)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=302508986:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.79/2.11 % (598566)dis-21_1_sil=8000:lcm=predicate:random_seed=40578327: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)
% 9.79/2.11 % (598563)Refutation not found, incomplete strategy
% 9.79/2.11 % (598563)------------------------------
% 9.79/2.11 % (598563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.11 % (598563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.11 % (598563)CaDiCaL version: 2.1.3
% 9.79/2.11 % (598563)Termination reason: Refutation not found, incomplete strategy
% 9.79/2.11 % (598563)Time elapsed: 0.013 s
% 9.79/2.11 % (598563)Peak memory usage: 91 MB
% 9.79/2.11 % (598563)Instructions burned: 29 (million)
% 9.79/2.11 % (598564)Refutation not found, incomplete strategy
% 9.79/2.11 % (598564)------------------------------
% 9.79/2.11 % (598564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.11 % (598564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.11 % (598564)CaDiCaL version: 2.1.3
% 9.79/2.11 % (598564)Termination reason: Refutation not found, incomplete strategy
% 9.79/2.11 % (598564)Time elapsed: 0.015 s
% 9.79/2.11 % (598564)Peak memory usage: 92 MB
% 9.79/2.11 % (598564)Instructions burned: 31 (million)
% 9.79/2.11 % (598565)Instruction limit reached!
% 9.79/2.11 % (598565)------------------------------
% 9.79/2.11 % (598565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.11 % (598565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.11 % (598565)CaDiCaL version: 2.1.3
% 9.79/2.11 % (598565)Termination reason: Instruction limit
% 9.79/2.11 % (598565)Termination phase: Preprocessing 3
% 9.79/2.11 % (598565)Time elapsed: 0.069 s
% 9.79/2.11 % (598565)Peak memory usage: 92 MB
% 9.79/2.11 % (598565)Instructions burned: 140 (million)
% 9.79/2.11 % (598566)Instruction limit reached!
% 9.79/2.11 % (598566)------------------------------
% 9.79/2.11 % (598566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.11 % (598566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.11 % (598566)CaDiCaL version: 2.1.3
% 9.79/2.11 % (598566)Termination reason: Instruction limit
% 9.79/2.11 % (598566)Termination phase: Property scanning
% 9.79/2.11 % (598566)Time elapsed: 0.073 s
% 9.79/2.11 % (598566)Peak memory usage: 94 MB
% 9.79/2.11 % (598566)Instructions burned: 131 (million)
% 9.79/2.11 % (598574)lrs+10_1_sil=8000:sp=occurrence:random_seed=910167081:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.79/2.11 % (598575)lrs+10_1_sil=32000:urr=on:br=off:random_seed=427533403:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.79/2.11 % (598575)Refutation not found, incomplete strategy
% 9.79/2.11 % (598575)------------------------------
% 9.79/2.11 % (598575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.11 % (598575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.11 % (598575)CaDiCaL version: 2.1.3
% 9.79/2.11 % (598575)Termination reason: Refutation not found, incomplete strategy
% 9.79/2.11 % (598575)Time elapsed: 0.024 s
% 19.05/3.45 % (598575)Peak memory usage: 91 MB
% 19.05/3.45 % (598575)Instructions burned: 61 (million)
% 19.05/3.45 % (598564)------------------------------
% 19.05/3.45 % (598564)------------------------------
% 19.05/3.45 % (598563)------------------------------
% 19.05/3.45 % (598563)------------------------------
% 19.05/3.45 % (598574)Instruction limit reached!
% 19.05/3.45 % (598574)------------------------------
% 19.05/3.45 % (598574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.45 % (598574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.45 % (598574)CaDiCaL version: 2.1.3
% 19.05/3.45 % (598574)Termination reason: Instruction limit
% 19.05/3.45 % (598574)Termination phase: Saturation
% 19.05/3.45 % (598574)Time elapsed: 0.089 s
% 19.05/3.45 % (598574)Peak memory usage: 95 MB
% 19.05/3.45 % (598574)Instructions burned: 288 (million)
% 19.05/3.45 % (598580)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4120763825:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.05/3.45 % (598579)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=2036437654:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.05/3.45 % (598580)Refutation not found, incomplete strategy
% 19.05/3.45 % (598580)------------------------------
% 19.05/3.45 % (598580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.45 % (598580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.45 % (598580)CaDiCaL version: 2.1.3
% 19.05/3.45 % (598580)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.45 % (598580)Time elapsed: 0.011 s
% 19.05/3.45 % (598580)Peak memory usage: 92 MB
% 19.05/3.45 % (598580)Instructions burned: 45 (million)
% 19.05/3.45 % (598578)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2822688417:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 19.05/3.45 % (598578)Refutation not found, incomplete strategy
% 19.05/3.45 % (598578)------------------------------
% 19.05/3.45 % (598578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.45 % (598578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.45 % (598578)CaDiCaL version: 2.1.3
% 19.05/3.45 % (598578)Termination reason: Refutation not found, incomplete strategy
% 19.05/3.45 % (598578)Time elapsed: 0.013 s
% 19.05/3.45 % (598578)Peak memory usage: 91 MB
% 19.05/3.45 % (598578)Instructions burned: 26 (million)
% 19.05/3.45 % (598575)------------------------------
% 19.05/3.45 % (598575)------------------------------
% 19.05/3.45 % (598579)Instruction limit reached!
% 19.05/3.45 % (598579)------------------------------
% 19.05/3.45 % (598579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.45 % (598579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.45 % (598579)CaDiCaL version: 2.1.3
% 19.05/3.45 % (598579)Termination reason: Instruction limit
% 19.05/3.45 % (598579)Termination phase: Saturation
% 19.05/3.45 % (598579)Time elapsed: 0.119 s
% 19.05/3.45 % (598579)Peak memory usage: 96 MB
% 19.05/3.45 % (598579)Instructions burned: 248 (million)
% 19.05/3.45 % (598580)------------------------------
% 19.05/3.45 % (598580)------------------------------
% 19.05/3.45 % (598584)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3665858992:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.05/3.45 % (598586)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1898088078:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.05/3.45 % (598585)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1271639802:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.05/3.45 % (598578)------------------------------
% 19.05/3.45 % (598578)------------------------------
% 19.05/3.45 % (598586)Instruction limit reached!
% 19.05/3.45 % (598586)------------------------------
% 19.05/3.45 % (598586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.05/3.45 % (598586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.05/3.45 % (598586)CaDiCaL version: 2.1.3
% 19.05/3.45 % (598586)Termination reason: Instruction limit
% 19.05/3.45 % (598586)Termination phase: Property scanning
% 19.05/3.45 % (598586)Time elapsed: 0.042 s
% 19.05/3.45 % (598586)Peak memory usage: 94 MB
% 19.05/3.45 % (598586)Instructions burned: 131 (million)
% 19.05/3.45 % (598585)Instruction limit reached!
% 19.05/3.45 % (598585)------------------------------
% 11.91/3.81 % (598585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598585)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598585)Termination reason: Instruction limit
% 11.91/3.81 % (598585)Termination phase: Preprocessing 3
% 11.91/3.81 % (598585)Time elapsed: 0.066 s
% 11.91/3.81 % (598585)Peak memory usage: 93 MB
% 11.91/3.81 % (598585)Instructions burned: 114 (million)
% 11.91/3.81 % (598591)lrs+10_1_sil=8000:sp=occurrence:random_seed=3600478522:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.91/3.81 % (598590)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2227629872:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.91/3.81 % (598592)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2387861785:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.91/3.81 % (598590)Instruction limit reached!
% 11.91/3.81 % (598590)------------------------------
% 11.91/3.81 % (598590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598590)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598590)Termination reason: Instruction limit
% 11.91/3.81 % (598590)Termination phase: Preprocessing 3
% 11.91/3.81 % (598590)Time elapsed: 0.053 s
% 11.91/3.81 % (598590)Peak memory usage: 89 MB
% 11.91/3.81 % (598590)Instructions burned: 115 (million)
% 11.91/3.81 % (598596)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3778202252:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.91/3.81 % (598591)Instruction limit reached!
% 11.91/3.81 % (598591)------------------------------
% 11.91/3.81 % (598591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598591)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598591)Termination reason: Instruction limit
% 11.91/3.81 % (598591)Termination phase: Saturation
% 11.91/3.81 % (598591)Time elapsed: 0.293 s
% 11.91/3.81 % (598591)Peak memory usage: 114 MB
% 11.91/3.81 % (598591)Instructions burned: 909 (million)
% 11.91/3.81 % (598592)Instruction limit reached!
% 11.91/3.81 % (598592)------------------------------
% 11.91/3.81 % (598592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598592)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598592)Termination reason: Instruction limit
% 11.91/3.81 % (598592)Termination phase: Saturation
% 11.91/3.81 % (598592)Time elapsed: 0.220 s
% 11.91/3.81 % (598592)Peak memory usage: 102 MB
% 11.91/3.81 % (598592)Instructions burned: 438 (million)
% 11.91/3.81 % (598598)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2261237958:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.91/3.81 % (598598)Instruction limit reached!
% 11.91/3.81 % (598598)------------------------------
% 11.91/3.81 % (598598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598598)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598598)Termination reason: Instruction limit
% 11.91/3.81 % (598598)Termination phase: NewCNF
% 11.91/3.81 % (598598)Time elapsed: 0.046 s
% 11.91/3.81 % (598598)Peak memory usage: 93 MB
% 11.91/3.81 % (598598)Instructions burned: 134 (million)
% 11.91/3.81 % (598599)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2912657225:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 11.91/3.81 % (598599)Refutation not found, incomplete strategy
% 11.91/3.81 % (598599)------------------------------
% 11.91/3.81 % (598599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598599)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598599)Termination reason: Refutation not found, incomplete strategy
% 11.91/3.81 % (598599)Time elapsed: 0.041 s
% 11.91/3.81 % (598599)Peak memory usage: 93 MB
% 11.91/3.81 % (598599)Instructions burned: 79 (million)
% 11.91/3.81 % (598601)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1370477678:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.91/3.81 % (598599)------------------------------
% 11.91/3.81 % (598599)------------------------------
% 11.91/3.81 % (598604)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3242235082:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 11.91/3.81 % (598604)Instruction limit reached!
% 11.91/3.81 % (598604)------------------------------
% 11.91/3.81 % (598604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598604)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598604)Termination reason: Instruction limit
% 11.91/3.81 % (598604)Termination phase: Saturation
% 11.91/3.81 % (598604)Time elapsed: 0.055 s
% 11.91/3.81 % (598604)Peak memory usage: 91 MB
% 11.91/3.81 % (598604)Instructions burned: 127 (million)
% 11.91/3.81 % (598606)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2107951660:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 11.91/3.81 % (598606)Instruction limit reached!
% 11.91/3.81 % (598606)------------------------------
% 11.91/3.81 % (598606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598606)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598606)Termination reason: Instruction limit
% 11.91/3.81 % (598606)Termination phase: Naming
% 11.91/3.81 % (598606)Time elapsed: 0.059 s
% 11.91/3.81 % (598606)Peak memory usage: 90 MB
% 11.91/3.81 % (598606)Instructions burned: 135 (million)
% 11.91/3.81 % (598608)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1814438943:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 11.91/3.81 % (598584)Instruction limit reached!
% 11.91/3.81 % (598584)------------------------------
% 11.91/3.81 % (598584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598584)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598584)Termination reason: Instruction limit
% 11.91/3.81 % (598584)Termination phase: Saturation
% 11.91/3.81 % (598584)Time elapsed: 1.418 s
% 11.91/3.81 % (598584)Peak memory usage: 177 MB
% 11.91/3.81 % (598584)Instructions burned: 2351 (million)
% 11.91/3.81 % (598608)Refutation not found, incomplete strategy
% 11.91/3.81 % (598608)------------------------------
% 11.91/3.81 % (598608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598608)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598608)Termination reason: Refutation not found, incomplete strategy
% 11.91/3.81 % (598608)Time elapsed: 0.013 s
% 11.91/3.81 % (598608)Peak memory usage: 91 MB
% 11.91/3.81 % (598608)Instructions burned: 28 (million)
% 11.91/3.81 % (598610)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=917885737:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 11.91/3.81 % (598610)Refutation not found, incomplete strategy
% 11.91/3.81 % (598610)------------------------------
% 11.91/3.81 % (598610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598610)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598610)Termination reason: Refutation not found, incomplete strategy
% 11.91/3.81 % (598610)Time elapsed: 0.013 s
% 11.91/3.81 % (598610)Peak memory usage: 91 MB
% 11.91/3.81 % (598610)Instructions burned: 26 (million)
% 11.91/3.81 % (598608)------------------------------
% 11.91/3.81 % (598608)------------------------------
% 11.91/3.81 % (598612)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2560700855:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 11.91/3.81 % (598610)------------------------------
% 11.91/3.81 % (598610)------------------------------
% 11.91/3.81 % (598614)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1375397651:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 11.91/3.81 % (598614)Instruction limit reached!
% 11.91/3.81 % (598614)------------------------------
% 11.91/3.81 % (598614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/3.81 % (598614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/3.81 % (598614)CaDiCaL version: 2.1.3
% 11.91/3.81 % (598614)Termination reason: Instruction limit
% 11.91/3.81 % (598614)Termination phase: Property scanning
% 11.91/3.81 % (598614)Time elapsed: 0.078 s
% 11.91/3.81 % (598614)Peak memory usage: 94 MB
% 11.91/3.81 % (598614)Instructions burned: 151 (million)
% 11.91/3.81 % (598601)First to succeed.
% 11.91/3.81 % (598601)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-598555"
% 11.91/3.81 % (598616)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4119210591:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 11.91/3.81 % (598601)Refutation found. Thanks to Tanya!
% 11.91/3.81 % SZS status Theorem for theBenchmark
% 11.91/3.81 % SZS output start Proof for theBenchmark
% See solution above
% 22.46/4.01 % (598601)------------------------------
% 22.46/4.01 % (598601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.01 % (598601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.01 % (598601)CaDiCaL version: 2.1.3
% 22.46/4.01 % (598601)Termination reason: Refutation
% 22.46/4.01 % (598601)Time elapsed: 1.416 s
% 22.46/4.01 % (598601)Peak memory usage: 149 MB
% 22.46/4.01 % (598601)Instructions burned: 2644 (million)
% 22.46/4.01 % (598601)------------------------------
% 22.46/4.01 % (598601)------------------------------
% 22.46/4.01 % (598555)Success in time 3.178 s
% 22.46/4.01 % Vampire exiting
%------------------------------------------------------------------------------