%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV655+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 : n018.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 12:58:30 PM UTC 2026
% Result : Theorem 20.27s 4.33s
% Output : Refutation 24.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 155 ( 52 unt; 16 def)
% Number of atoms : 322 ( 148 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 295 ( 128 ~; 122 |; 18 &)
% ( 8 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 21 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1005,axiom,
! [X0] :
( c_24__type__785___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
=> cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_785') ).
fof(f1491,axiom,
c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_Maplists.MapLists.ad_list_stutters') ).
fof(f1728,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(X0)
=> ( X0 != cCoq_2eInit_2eDatatypes_2etrue
=> X0 = cCoq_2eInit_2eDatatypes_2efalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Coq.Bool.Bool.not_true_is_false') ).
fof(f2041,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
=> ( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2efalse
=> cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Maplists.MapLists.ad_list_not_stutters_card') ).
fof(f2042,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
=> ( cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0))
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2efalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Maplists.MapLists.ad_list_not_stutters_card_conv') ).
fof(f2047,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
=> ( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2etrue
=> p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Maplists.MapLists.ad_list_stutters_card') ).
fof(f2048,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
=> ( p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2etrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Maplists.MapLists.ad_list_stutters_card_conv') ).
fof(f2099,axiom,
! [X0] : happ(cMaplists_2eMapLists_2ead__list__stutters,X0) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Maplists.MapLists.ad_list_stutters_$a1') ).
fof(f2206,axiom,
! [X0] : happ(cMaplists_2eMapLists_2eElems,X0) = cMaplists_2eMapLists_2eElems___24a1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Maplists.MapLists.Elems_$a1') ).
fof(f2394,axiom,
! [X0,X1] : happ(happ(cCoq_2eInit_2ePeano_2elt,X0),X1) = cCoq_2eInit_2ePeano_2elt___24a2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Coq.Init.Peano.lt_$a2') ).
fof(f2495,axiom,
! [X0,X1] : happ(happ(cIntMap_2eMap_2eMapCard,X0),X1) = cIntMap_2eMap_2eMapCard___24a2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_IntMap.Map.MapCard_$a2') ).
fof(f2738,axiom,
! [X0,X1] : happ(happ(cCoq_2eInit_2eDatatypes_2elength,X0),X1) = cCoq_2eInit_2eDatatypes_2elength___24a2(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_Coq.Init.Datatypes.length_$a2') ).
fof(f3249,conjecture,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
=> ( cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X1))
=> ( cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X1)
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f3250,negated_conjecture,
~ ! [X0] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
=> ( cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X1))
=> ( cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X1)
=> cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3249]) ).
fof(f4342,plain,
! [X0] :
( c_24__type__785___24t(X0)
<=> ! [X1] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) ) ),
inference(ennf_transformation,[],[f1005]) ).
fof(f4720,plain,
! [X0] :
( X0 = cCoq_2eInit_2eDatatypes_2efalse
| cCoq_2eInit_2eDatatypes_2etrue = X0
| ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X0) ),
inference(ennf_transformation,[],[f1728]) ).
fof(f4721,plain,
! [X0] :
( X0 = cCoq_2eInit_2eDatatypes_2efalse
| cCoq_2eInit_2eDatatypes_2etrue = X0
| ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X0) ),
inference(flattening,[],[f4720]) ).
fof(f5202,plain,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0))
| cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(ennf_transformation,[],[f2041]) ).
fof(f5203,plain,
! [X0] :
( cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0))
| cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(flattening,[],[f5202]) ).
fof(f5204,plain,
! [X0] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2efalse
| cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) != cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(ennf_transformation,[],[f2042]) ).
fof(f5205,plain,
! [X0] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2efalse
| cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) != cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(flattening,[],[f5204]) ).
fof(f5214,plain,
! [X0] :
( p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
| cCoq_2eInit_2eDatatypes_2etrue != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(ennf_transformation,[],[f2047]) ).
fof(f5215,plain,
! [X0] :
( p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
| cCoq_2eInit_2eDatatypes_2etrue != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(flattening,[],[f5214]) ).
fof(f5216,plain,
! [X0] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2etrue
| ~ p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(ennf_transformation,[],[f2048]) ).
fof(f5217,plain,
! [X0] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2etrue
| ~ p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(flattening,[],[f5216]) ).
fof(f5239,plain,
? [X0] :
( ? [X1] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) != cMaplists_2eMapLists_2ead__list__stutters___24a1(X1)
& cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X1)
& cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X1))
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(ennf_transformation,[],[f3250]) ).
fof(f5240,plain,
? [X0] :
( ? [X1] :
( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) != cMaplists_2eMapLists_2ead__list__stutters___24a1(X1)
& cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X1)
& cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X1))
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(flattening,[],[f5239]) ).
fof(f7841,plain,
! [X0] :
( ( c_24__type__785___24t(X0)
| ? [X1] :
( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) ) )
& ( ! [X1] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
| ~ c_24__type__785___24t(X0) ) ),
inference(nnf_transformation,[],[f4342]) ).
fof(f7842,plain,
! [X0] :
( ( c_24__type__785___24t(X0)
| ? [X1] :
( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) ) )
& ( ! [X2] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2) )
| ~ c_24__type__785___24t(X0) ) ),
inference(rectify,[],[f7841]) ).
fof(f7843,plain,
! [X0] :
( ( c_24__type__785___24t(X0)
| ( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,sK1955(X0)))
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK1955(X0)) ) )
& ( ! [X2] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2) )
| ~ c_24__type__785___24t(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1955]),skolemize(X1,sK1955(X0))],[f7842]) ).
fof(f8686,plain,
( cMaplists_2eMapLists_2ead__list__stutters___24a1(sK2178) != cMaplists_2eMapLists_2ead__list__stutters___24a1(sK2179)
& cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,sK2178) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,sK2179)
& cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(sK2178)) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(sK2179))
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2179)
& cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2178) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2178,sK2179]),skolemize(X0,sK2178),skolemize(X1,sK2179)],[f5240]) ).
fof(f13681,plain,
! [X2,X0] :
( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X2))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2)
| ~ c_24__type__785___24t(X0) ),
inference(cnf_transformation,[],[f7843]) ).
fof(f14375,plain,
c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters),
inference(cnf_transformation,[],[f1491]) ).
fof(f14641,plain,
! [X0] :
( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X0)
| cCoq_2eInit_2eDatatypes_2etrue = X0
| cCoq_2eInit_2eDatatypes_2efalse = X0 ),
inference(cnf_transformation,[],[f4721]) ).
fof(f15104,plain,
! [X0] :
( cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)
| cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(cnf_transformation,[],[f5203]) ).
fof(f15105,plain,
! [X0] :
( cCoq_2eInit_2eDatatypes_2efalse = cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)) != cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(cnf_transformation,[],[f5205]) ).
fof(f15110,plain,
! [X0] :
( p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
| cCoq_2eInit_2eDatatypes_2etrue != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(cnf_transformation,[],[f5215]) ).
fof(f15111,plain,
! [X0] :
( cCoq_2eInit_2eDatatypes_2etrue = cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
| ~ p(cCoq_2eInit_2ePeano_2elt___24a2(cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(X0)),cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,X0)))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(cnf_transformation,[],[f5217]) ).
fof(f15167,plain,
! [X0] : cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = happ(cMaplists_2eMapLists_2ead__list__stutters,X0),
inference(cnf_transformation,[],[f2099]) ).
fof(f15287,plain,
! [X0] : cMaplists_2eMapLists_2eElems___24a1(X0) = happ(cMaplists_2eMapLists_2eElems,X0),
inference(cnf_transformation,[],[f2206]) ).
fof(f15496,plain,
! [X0,X1] : cCoq_2eInit_2ePeano_2elt___24a2(X0,X1) = happ(happ(cCoq_2eInit_2ePeano_2elt,X0),X1),
inference(cnf_transformation,[],[f2394]) ).
fof(f15613,plain,
! [X0,X1] : cIntMap_2eMap_2eMapCard___24a2(X0,X1) = happ(happ(cIntMap_2eMap_2eMapCard,X0),X1),
inference(cnf_transformation,[],[f2495]) ).
fof(f15889,plain,
! [X0,X1] : cCoq_2eInit_2eDatatypes_2elength___24a2(X0,X1) = happ(happ(cCoq_2eInit_2eDatatypes_2elength,X0),X1),
inference(cnf_transformation,[],[f2738]) ).
fof(f16887,plain,
cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2178),
inference(cnf_transformation,[],[f8686]) ).
fof(f16888,plain,
cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2179),
inference(cnf_transformation,[],[f8686]) ).
fof(f16889,plain,
cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(sK2178)) = cIntMap_2eMap_2eMapCard___24a2(cCoq_2eInit_2eDatatypes_2eunit,cMaplists_2eMapLists_2eElems___24a1(sK2179)),
inference(cnf_transformation,[],[f8686]) ).
fof(f16890,plain,
cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,sK2178) = cCoq_2eInit_2eDatatypes_2elength___24a2(cIntMap_2eMap_2ead,sK2179),
inference(cnf_transformation,[],[f8686]) ).
fof(f16891,plain,
cMaplists_2eMapLists_2ead__list__stutters___24a1(sK2178) != cMaplists_2eMapLists_2ead__list__stutters___24a1(sK2179),
inference(cnf_transformation,[],[f8686]) ).
fof(f19952,plain,
! [X0] :
( cCoq_2eInit_2eDatatypes_2efalse != happ(cMaplists_2eMapLists_2ead__list__stutters,X0)
| happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,X0)) = happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(definition_unfolding,[],[f15104,f15613,f15287,f15889,f15167]) ).
fof(f19953,plain,
! [X0] :
( happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,X0)) != happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),X0)
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(definition_unfolding,[],[f15105,f15167,f15613,f15287,f15889]) ).
fof(f19958,plain,
! [X0] :
( cCoq_2eInit_2eDatatypes_2etrue != happ(cMaplists_2eMapLists_2ead__list__stutters,X0)
| p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,X0))),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),X0)))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(definition_unfolding,[],[f15110,f15496,f15613,f15287,f15889,f15167]) ).
fof(f19959,plain,
! [X0] :
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,X0))),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),X0)))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,X0)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
inference(definition_unfolding,[],[f15111,f15167,f15496,f15613,f15287,f15889]) ).
fof(f20118,plain,
happ(cMaplists_2eMapLists_2ead__list__stutters,sK2178) != happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179),
inference(definition_unfolding,[],[f16891,f15167,f15167]) ).
fof(f20119,plain,
happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178) = happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179),
inference(definition_unfolding,[],[f16890,f15889,f15889]) ).
fof(f20120,plain,
happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178)) = happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2179)),
inference(definition_unfolding,[],[f16889,f15613,f15287,f15613,f15287]) ).
fof(f20230,definition,
sF2180 = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2178),
introduced(definition,[new_symbols(definition,[sF2180])],[function_definition]) ).
fof(f20231,plain,
happ(cMaplists_2eMapLists_2ead__list__stutters,sK2178) = sF2180,
inference(reorient_equations,[],[f20230]) ).
fof(f20232,definition,
sF2181 = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179),
introduced(definition,[new_symbols(definition,[sF2181])],[function_definition]) ).
fof(f20233,plain,
happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) = sF2181,
inference(reorient_equations,[],[f20232]) ).
fof(f20234,plain,
sF2180 != sF2181,
inference(definition_folding,[],[f20118,f20233,f20231]) ).
fof(f20235,definition,
sF2182 = happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),
introduced(definition,[new_symbols(definition,[sF2182])],[function_definition]) ).
fof(f20236,plain,
happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead) = sF2182,
inference(reorient_equations,[],[f20235]) ).
fof(f20237,definition,
sF2183 = happ(sF2182,sK2178),
introduced(definition,[new_symbols(definition,[sF2183])],[function_definition]) ).
fof(f20238,plain,
happ(sF2182,sK2178) = sF2183,
inference(reorient_equations,[],[f20237]) ).
fof(f20239,definition,
sF2184 = happ(sF2182,sK2179),
introduced(definition,[new_symbols(definition,[sF2184])],[function_definition]) ).
fof(f20240,plain,
happ(sF2182,sK2179) = sF2184,
inference(reorient_equations,[],[f20239]) ).
fof(f20241,plain,
sF2183 = sF2184,
inference(definition_folding,[],[f20119,f20240,f20236,f20238,f20236]) ).
fof(f20242,definition,
sF2185 = happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),
introduced(definition,[new_symbols(definition,[sF2185])],[function_definition]) ).
fof(f20243,plain,
happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit) = sF2185,
inference(reorient_equations,[],[f20242]) ).
fof(f20244,definition,
sF2186 = happ(cMaplists_2eMapLists_2eElems,sK2178),
introduced(definition,[new_symbols(definition,[sF2186])],[function_definition]) ).
fof(f20245,plain,
happ(cMaplists_2eMapLists_2eElems,sK2178) = sF2186,
inference(reorient_equations,[],[f20244]) ).
fof(f20246,definition,
sF2187 = happ(sF2185,sF2186),
introduced(definition,[new_symbols(definition,[sF2187])],[function_definition]) ).
fof(f20247,plain,
happ(sF2185,sF2186) = sF2187,
inference(reorient_equations,[],[f20246]) ).
fof(f20248,definition,
sF2188 = happ(cMaplists_2eMapLists_2eElems,sK2179),
introduced(definition,[new_symbols(definition,[sF2188])],[function_definition]) ).
fof(f20249,plain,
happ(cMaplists_2eMapLists_2eElems,sK2179) = sF2188,
inference(reorient_equations,[],[f20248]) ).
fof(f20250,definition,
sF2189 = happ(sF2185,sF2188),
introduced(definition,[new_symbols(definition,[sF2189])],[function_definition]) ).
fof(f20251,plain,
happ(sF2185,sF2188) = sF2189,
inference(reorient_equations,[],[f20250]) ).
fof(f20252,plain,
sF2187 = sF2189,
inference(definition_folding,[],[f20120,f20251,f20249,f20243,f20247,f20245,f20243]) ).
fof(f20796,plain,
sF2183 = happ(sF2182,sK2179),
inference(forward_demodulation,[],[f20240,f20241]) ).
fof(f20797,plain,
sF2187 = happ(sF2185,sF2188),
inference(forward_demodulation,[],[f20251,f20252]) ).
fof(f20864,plain,
( cCoq_2eInit_2eDatatypes_2efalse != sF2180
| happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178) = happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2178) ),
inference(superposition,[],[f19952,f20231]) ).
fof(f20867,plain,
( cCoq_2eInit_2eDatatypes_2efalse != sF2180
| happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178) = happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178)) ),
inference(forward_subsumption_resolution,[],[f20864,f16887]) ).
fof(f20869,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178) = happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2186)
| cCoq_2eInit_2eDatatypes_2efalse != sF2180 ),
inference(forward_demodulation,[],[f20867,f20245]) ).
fof(f20871,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178) = happ(sF2185,sF2186)
| cCoq_2eInit_2eDatatypes_2efalse != sF2180 ),
inference(forward_demodulation,[],[f20869,f20243]) ).
fof(f20873,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178) = sF2187
| cCoq_2eInit_2eDatatypes_2efalse != sF2180 ),
inference(forward_demodulation,[],[f20871,f20247]) ).
fof(f20875,plain,
( happ(sF2182,sK2178) = sF2187
| cCoq_2eInit_2eDatatypes_2efalse != sF2180 ),
inference(forward_demodulation,[],[f20873,f20236]) ).
fof(f20877,plain,
( sF2183 = sF2187
| cCoq_2eInit_2eDatatypes_2efalse != sF2180 ),
inference(forward_demodulation,[],[f20875,f20238]) ).
fof(f20879,definition,
( spl2190_62
<=> cCoq_2eInit_2eDatatypes_2efalse = sF2181 ),
introduced(definition,[new_symbols(definition,[spl2190_62])],[avatar_definition]) ).
fof(f20880,plain,
( cCoq_2eInit_2eDatatypes_2efalse = sF2181
| ~ spl2190_62 ),
inference(avatar_component_clause,[],[f20879]) ).
fof(f20881,plain,
( cCoq_2eInit_2eDatatypes_2efalse != sF2181
| spl2190_62 ),
inference(avatar_component_clause,[],[f20879]) ).
fof(f20883,definition,
( spl2190_63
<=> sF2183 = sF2187 ),
introduced(definition,[new_symbols(definition,[spl2190_63])],[avatar_definition]) ).
fof(f20888,definition,
( spl2190_64
<=> cCoq_2eInit_2eDatatypes_2efalse = sF2180 ),
introduced(definition,[new_symbols(definition,[spl2190_64])],[avatar_definition]) ).
fof(f20889,plain,
( cCoq_2eInit_2eDatatypes_2efalse = sF2180
| ~ spl2190_64 ),
inference(avatar_component_clause,[],[f20888]) ).
fof(f20890,plain,
( cCoq_2eInit_2eDatatypes_2efalse != sF2180
| spl2190_64 ),
inference(avatar_component_clause,[],[f20888]) ).
fof(f20891,plain,
( ~ spl2190_64
| spl2190_63 ),
inference(avatar_split_clause,[],[f20877,f20883,f20888]) ).
fof(f20895,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179) != happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2188)
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2179) ),
inference(superposition,[],[f19953,f20249]) ).
fof(f20896,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179) != happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2188)
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_subsumption_resolution,[],[f20895,f16888]) ).
fof(f20899,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179) != happ(sF2185,sF2188)
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20896,f20243]) ).
fof(f20901,plain,
( happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179) != sF2187
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20899,f20797]) ).
fof(f20903,plain,
( happ(sF2182,sK2179) != sF2187
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20901,f20236]) ).
fof(f20905,plain,
( sF2183 != sF2187
| cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20903,f20796]) ).
fof(f20907,plain,
( cCoq_2eInit_2eDatatypes_2efalse = sF2181
| sF2183 != sF2187 ),
inference(forward_demodulation,[],[f20905,f20233]) ).
fof(f20909,plain,
( sF2183 != sF2187
| spl2190_62 ),
inference(forward_subsumption_resolution,[],[f20907,f20881]) ).
fof(f20911,plain,
( ~ spl2190_63
| spl2190_62 ),
inference(avatar_split_clause,[],[f20909,f20879,f20883]) ).
fof(f20969,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2188)),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179)))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2179) ),
inference(superposition,[],[f19959,f20249]) ).
fof(f20972,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2188)),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2179)))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_subsumption_resolution,[],[f20969,f16888]) ).
fof(f20975,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2188)),happ(sF2182,sK2179)))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20972,f20236]) ).
fof(f20977,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2188)),sF2183))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20975,f20796]) ).
fof(f20979,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(sF2185,sF2188)),sF2183))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20977,f20243]) ).
fof(f20981,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,sF2187),sF2183))
| cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2179) ),
inference(forward_demodulation,[],[f20979,f20797]) ).
fof(f20983,plain,
( cCoq_2eInit_2eDatatypes_2etrue = sF2181
| ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,sF2187),sF2183)) ),
inference(forward_demodulation,[],[f20981,f20233]) ).
fof(f20986,definition,
( spl2190_71
<=> p(happ(happ(cCoq_2eInit_2ePeano_2elt,sF2187),sF2183)) ),
introduced(definition,[new_symbols(definition,[spl2190_71])],[avatar_definition]) ).
fof(f20988,plain,
( ~ p(happ(happ(cCoq_2eInit_2ePeano_2elt,sF2187),sF2183))
| spl2190_71 ),
inference(avatar_component_clause,[],[f20986]) ).
fof(f20990,definition,
( spl2190_72
<=> cCoq_2eInit_2eDatatypes_2etrue = sF2181 ),
introduced(definition,[new_symbols(definition,[spl2190_72])],[avatar_definition]) ).
fof(f20992,plain,
( cCoq_2eInit_2eDatatypes_2etrue = sF2181
| ~ spl2190_72 ),
inference(avatar_component_clause,[],[f20990]) ).
fof(f20993,plain,
( ~ spl2190_71
| spl2190_72 ),
inference(avatar_split_clause,[],[f20983,f20990,f20986]) ).
fof(f20995,definition,
( spl2190_73
<=> cCoq_2eInit_2eDatatypes_2etrue = sF2180 ),
introduced(definition,[new_symbols(definition,[spl2190_73])],[avatar_definition]) ).
fof(f20996,plain,
( cCoq_2eInit_2eDatatypes_2etrue != sF2180
| spl2190_73 ),
inference(avatar_component_clause,[],[f20995]) ).
fof(f20997,plain,
( cCoq_2eInit_2eDatatypes_2etrue = sF2180
| ~ spl2190_73 ),
inference(avatar_component_clause,[],[f20995]) ).
fof(f21040,plain,
( cCoq_2eInit_2eDatatypes_2etrue != sF2180
| p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178))),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178)))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2178) ),
inference(superposition,[],[f19958,f20231]) ).
fof(f21352,plain,
( cCoq_2eInit_2eDatatypes_2ebool___24t(sF2180)
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2178)
| ~ c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters) ),
inference(superposition,[],[f13681,f20231]) ).
fof(f21383,plain,
( cCoq_2eInit_2eDatatypes_2ebool___24t(sF2180)
| ~ c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters) ),
inference(forward_subsumption_resolution,[],[f21352,f16887]) ).
fof(f21439,plain,
cCoq_2eInit_2eDatatypes_2ebool___24t(sF2180),
inference(forward_subsumption_resolution,[],[f21383,f14375]) ).
fof(f21441,plain,
( cCoq_2eInit_2eDatatypes_2etrue = sF2180
| cCoq_2eInit_2eDatatypes_2efalse = sF2180 ),
inference(resolution,[],[f21439,f14641]) ).
fof(f21442,plain,
( cCoq_2eInit_2eDatatypes_2efalse = sF2180
| spl2190_73 ),
inference(forward_subsumption_resolution,[],[f21441,f20996]) ).
fof(f21443,plain,
( $false
| spl2190_64
| spl2190_73 ),
inference(forward_subsumption_resolution,[],[f21442,f20890]) ).
fof(f21444,plain,
( spl2190_64
| spl2190_73 ),
inference(avatar_contradiction_clause,[],[f21443]) ).
fof(f21450,plain,
( cCoq_2eInit_2eDatatypes_2efalse != sF2180
| ~ spl2190_62 ),
inference(superposition,[],[f20234,f20880]) ).
fof(f21451,plain,
( $false
| ~ spl2190_62
| ~ spl2190_64 ),
inference(forward_subsumption_resolution,[],[f21450,f20889]) ).
fof(f21452,plain,
( ~ spl2190_62
| ~ spl2190_64 ),
inference(avatar_contradiction_clause,[],[f21451]) ).
fof(f21454,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178))),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178)))
| ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2178)
| ~ spl2190_73 ),
inference(forward_subsumption_resolution,[],[f21040,f20997]) ).
fof(f21456,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178))),happ(happ(cCoq_2eInit_2eDatatypes_2elength,cIntMap_2eMap_2ead),sK2178)))
| ~ spl2190_73 ),
inference(forward_subsumption_resolution,[],[f21454,f16887]) ).
fof(f21457,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178))),happ(sF2182,sK2178)))
| ~ spl2190_73 ),
inference(forward_demodulation,[],[f21456,f20236]) ).
fof(f21458,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),happ(cMaplists_2eMapLists_2eElems,sK2178))),sF2183))
| ~ spl2190_73 ),
inference(forward_demodulation,[],[f21457,f20238]) ).
fof(f21459,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(happ(cIntMap_2eMap_2eMapCard,cCoq_2eInit_2eDatatypes_2eunit),sF2186)),sF2183))
| ~ spl2190_73 ),
inference(forward_demodulation,[],[f21458,f20245]) ).
fof(f21460,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,happ(sF2185,sF2186)),sF2183))
| ~ spl2190_73 ),
inference(forward_demodulation,[],[f21459,f20243]) ).
fof(f21461,plain,
( p(happ(happ(cCoq_2eInit_2ePeano_2elt,sF2187),sF2183))
| ~ spl2190_73 ),
inference(forward_demodulation,[],[f21460,f20247]) ).
fof(f21462,plain,
( $false
| spl2190_71
| ~ spl2190_73 ),
inference(forward_subsumption_resolution,[],[f21461,f20988]) ).
fof(f21463,plain,
( spl2190_71
| ~ spl2190_73 ),
inference(avatar_contradiction_clause,[],[f21462]) ).
fof(f21481,plain,
( cCoq_2eInit_2eDatatypes_2etrue != sF2180
| ~ spl2190_72 ),
inference(superposition,[],[f20234,f20992]) ).
fof(f21482,plain,
( $false
| ~ spl2190_72
| ~ spl2190_73 ),
inference(forward_subsumption_resolution,[],[f21481,f20997]) ).
fof(f21483,plain,
( ~ spl2190_72
| ~ spl2190_73 ),
inference(avatar_contradiction_clause,[],[f21482]) ).
cnf(s73,plain,
( spl2190_63
| ~ spl2190_64 ),
inference(sat_conversion,[],[f20891]) ).
cnf(s74,plain,
( spl2190_62
| ~ spl2190_63 ),
inference(sat_conversion,[],[f20911]) ).
cnf(s80,plain,
( ~ spl2190_71
| spl2190_72 ),
inference(sat_conversion,[],[f20993]) ).
cnf(s109,plain,
( spl2190_64
| spl2190_73 ),
inference(sat_conversion,[],[f21444]) ).
cnf(s110,plain,
( ~ spl2190_62
| ~ spl2190_64 ),
inference(sat_conversion,[],[f21452]) ).
cnf(s112,plain,
( spl2190_71
| ~ spl2190_73 ),
inference(sat_conversion,[],[f21463]) ).
cnf(s113,plain,
( ~ spl2190_72
| ~ spl2190_73 ),
inference(sat_conversion,[],[f21483]) ).
cnf(s136,plain,
~ spl2190_73,
inference(rat,[],[s80,s112,s113]) ).
cnf(s137,plain,
spl2190_64,
inference(rat,[],[s109,s136]) ).
cnf(s139,plain,
~ spl2190_62,
inference(rat,[],[s110,s137]) ).
cnf(s140,plain,
spl2190_63,
inference(rat,[],[s73,s137]) ).
cnf(s141,plain,
$false,
inference(rat,[],[s74,s140,s139]) ).
fof(f21484,plain,
$false,
inference(avatar_sat_refutation,[],[s141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV655+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 06:52:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 15.51/3.13 % (3184012)Detected formulas, will run a generic FOF schedule.
% 15.51/3.13 % (3184019)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=1264558004:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 15.51/3.13 % (3184018)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=2147542937:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 15.51/3.13 % (3184020)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2098269138:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 15.51/3.13 % (3184022)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3651365197:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 15.51/3.13 % (3184017)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=4189594088:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 15.51/3.13 % (3184021)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3034309870:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 15.51/3.13 % (3184023)dis-21_1_sil=8000:lcm=predicate:random_seed=2082221340:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 15.51/3.13 % (3184020)Refutation not found, incomplete strategy
% 15.51/3.13 % (3184020)------------------------------
% 15.51/3.13 % (3184020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/3.13 % (3184020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/3.13 % (3184020)CaDiCaL version: 2.1.3
% 15.51/3.13 % (3184020)Termination reason: Refutation not found, incomplete strategy
% 15.51/3.13 % (3184020)Time elapsed: 0.020 s
% 15.51/3.13 % (3184020)Peak memory usage: 93 MB
% 15.51/3.13 % (3184020)Instructions burned: 38 (million)
% 15.51/3.13 % (3184021)Instruction limit reached!
% 15.51/3.13 % (3184021)------------------------------
% 15.51/3.13 % (3184021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/3.13 % (3184021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/3.13 % (3184021)CaDiCaL version: 2.1.3
% 15.51/3.13 % (3184021)Termination reason: Instruction limit
% 15.51/3.13 % (3184021)Termination phase: Saturation
% 15.51/3.13 % (3184021)Time elapsed: 0.067 s
% 15.51/3.13 % (3184021)Peak memory usage: 93 MB
% 15.51/3.13 % (3184021)Instructions burned: 119 (million)
% 15.51/3.13 % (3184022)Instruction limit reached!
% 15.51/3.13 % (3184022)------------------------------
% 15.51/3.13 % (3184022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/3.13 % (3184022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/3.13 % (3184022)CaDiCaL version: 2.1.3
% 15.51/3.13 % (3184022)Termination reason: Instruction limit
% 15.51/3.13 % (3184022)Termination phase: Preprocessing 3
% 15.51/3.13 % (3184022)Time elapsed: 0.067 s
% 15.51/3.13 % (3184022)Peak memory usage: 92 MB
% 15.51/3.13 % (3184022)Instructions burned: 139 (million)
% 15.51/3.13 % (3184023)Instruction limit reached!
% 15.51/3.13 % (3184023)------------------------------
% 15.51/3.13 % (3184023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/3.13 % (3184023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.51/3.13 % (3184023)CaDiCaL version: 2.1.3
% 15.51/3.13 % (3184023)Termination reason: Instruction limit
% 15.51/3.13 % (3184023)Termination phase: Preprocessing 3
% 15.51/3.13 % (3184023)Time elapsed: 0.076 s
% 15.51/3.13 % (3184023)Peak memory usage: 94 MB
% 15.51/3.13 % (3184023)Instructions burned: 131 (million)
% 15.51/3.13 % (3184032)lrs+10_1_sil=32000:urr=on:br=off:random_seed=519417997:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.51/3.13 % (3184031)lrs+10_1_sil=8000:sp=occurrence:random_seed=2547260487:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 15.51/3.13 % (3184033)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3212410126:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 15.51/3.13 % (3184032)Refutation not found, incomplete strategy
% 15.51/3.13 % (3184032)------------------------------
% 15.51/3.13 % (3184032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.51/3.13 % (3184032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/4.03 % (3184032)CaDiCaL version: 2.1.3
% 20.68/4.03 % (3184032)Termination reason: Refutation not found, incomplete strategy
% 20.68/4.03 % (3184032)Time elapsed: 0.049 s
% 20.68/4.03 % (3184032)Peak memory usage: 94 MB
% 20.68/4.03 % (3184032)Instructions burned: 103 (million)
% 20.68/4.03 % (3184020)------------------------------
% 20.68/4.03 % (3184020)------------------------------
% 20.68/4.03 % (3184031)Instruction limit reached!
% 20.68/4.03 % (3184031)------------------------------
% 20.68/4.03 % (3184031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/4.03 % (3184031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/4.03 % (3184031)CaDiCaL version: 2.1.3
% 20.68/4.03 % (3184031)Termination reason: Instruction limit
% 20.68/4.03 % (3184031)Termination phase: Saturation
% 20.68/4.03 % (3184031)Time elapsed: 0.175 s
% 20.68/4.03 % (3184031)Peak memory usage: 96 MB
% 20.68/4.03 % (3184031)Instructions burned: 286 (million)
% 20.68/4.03 % (3184037)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=974884660:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 20.68/4.03 % (3184033)Instruction limit reached!
% 20.68/4.03 % (3184033)------------------------------
% 20.68/4.03 % (3184033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/4.03 % (3184033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/4.03 % (3184033)CaDiCaL version: 2.1.3
% 20.68/4.03 % (3184033)Termination reason: Instruction limit
% 20.68/4.03 % (3184033)Termination phase: Saturation
% 20.68/4.03 % (3184033)Time elapsed: 0.183 s
% 20.68/4.03 % (3184033)Peak memory usage: 96 MB
% 20.68/4.03 % (3184033)Instructions burned: 326 (million)
% 20.68/4.03 % (3184032)------------------------------
% 20.68/4.03 % (3184032)------------------------------
% 20.68/4.03 % (3184038)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=355843202:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.68/4.03 % (3184040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=660480451:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 20.68/4.03 % (3184037)Instruction limit reached!
% 20.68/4.03 % (3184037)------------------------------
% 20.68/4.03 % (3184037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/4.03 % (3184037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/4.03 % (3184037)CaDiCaL version: 2.1.3
% 20.68/4.03 % (3184037)Termination reason: Instruction limit
% 20.68/4.03 % (3184037)Termination phase: Property scanning
% 20.68/4.03 % (3184037)Time elapsed: 0.135 s
% 20.68/4.03 % (3184037)Peak memory usage: 98 MB
% 20.68/4.03 % (3184037)Instructions burned: 250 (million)
% 20.68/4.03 % (3184041)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3692701475:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.68/4.03 % (3184038)Instruction limit reached!
% 20.68/4.03 % (3184038)------------------------------
% 20.68/4.03 % (3184038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/4.03 % (3184038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/4.03 % (3184038)CaDiCaL version: 2.1.3
% 20.68/4.03 % (3184038)Termination reason: Instruction limit
% 20.68/4.03 % (3184038)Termination phase: Saturation
% 20.68/4.03 % (3184038)Time elapsed: 0.160 s
% 20.68/4.03 % (3184038)Peak memory usage: 94 MB
% 20.68/4.03 % (3184038)Instructions burned: 295 (million)
% 20.68/4.03 % (3184044)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=813813980:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 20.68/4.03 % (3184041)Instruction limit reached!
% 20.68/4.03 % (3184041)------------------------------
% 20.68/4.03 % (3184041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/4.03 % (3184041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/4.03 % (3184041)CaDiCaL version: 2.1.3
% 20.68/4.03 % (3184041)Termination reason: Instruction limit
% 20.68/4.03 % (3184041)Termination phase: Preprocessing 3
% 20.68/4.03 % (3184041)Time elapsed: 0.070 s
% 20.68/4.03 % (3184041)Peak memory usage: 93 MB
% 20.68/4.03 % (3184041)Instructions burned: 115 (million)
% 20.68/4.03 % (3184044)Instruction limit reached!
% 20.68/4.03 % (3184044)------------------------------
% 20.68/4.03 % (3184044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/4.03 % (3184044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184044)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184044)Termination reason: Instruction limit
% 20.27/4.33 % (3184044)Termination phase: Preprocessing 3
% 20.27/4.33 % (3184044)Time elapsed: 0.082 s
% 20.27/4.33 % (3184044)Peak memory usage: 96 MB
% 20.27/4.33 % (3184044)Instructions burned: 127 (million)
% 20.27/4.33 % (3184047)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4029376470:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 20.27/4.33 % (3184048)lrs+10_1_sil=8000:sp=occurrence:random_seed=4131337658:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 20.27/4.33 % (3184047)Instruction limit reached!
% 20.27/4.33 % (3184047)------------------------------
% 20.27/4.33 % (3184047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184047)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184047)Termination reason: Instruction limit
% 20.27/4.33 % (3184047)Termination phase: SInE selection
% 20.27/4.33 % (3184047)Time elapsed: 0.048 s
% 20.27/4.33 % (3184047)Peak memory usage: 89 MB
% 20.27/4.33 % (3184047)Instructions burned: 116 (million)
% 20.27/4.33 % (3184049)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=241891636:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 20.27/4.33 % (3184052)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3163431241:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 20.27/4.33 % (3184049)Instruction limit reached!
% 20.27/4.33 % (3184049)------------------------------
% 20.27/4.33 % (3184049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184049)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184049)Termination reason: Instruction limit
% 20.27/4.33 % (3184049)Termination phase: Saturation
% 20.27/4.33 % (3184049)Time elapsed: 0.221 s
% 20.27/4.33 % (3184049)Peak memory usage: 102 MB
% 20.27/4.33 % (3184049)Instructions burned: 437 (million)
% 20.27/4.33 % (3184055)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4008546746:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 20.27/4.33 % (3184048)Instruction limit reached!
% 20.27/4.33 % (3184048)------------------------------
% 20.27/4.33 % (3184048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184048)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184048)Termination reason: Instruction limit
% 20.27/4.33 % (3184048)Termination phase: Saturation
% 20.27/4.33 % (3184048)Time elapsed: 0.516 s
% 20.27/4.33 % (3184048)Peak memory usage: 113 MB
% 20.27/4.33 % (3184048)Instructions burned: 907 (million)
% 20.27/4.33 % (3184055)Instruction limit reached!
% 20.27/4.33 % (3184055)------------------------------
% 20.27/4.33 % (3184055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184055)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184055)Termination reason: Instruction limit
% 20.27/4.33 % (3184055)Termination phase: NewCNF
% 20.27/4.33 % (3184055)Time elapsed: 0.083 s
% 20.27/4.33 % (3184055)Peak memory usage: 94 MB
% 20.27/4.33 % (3184055)Instructions burned: 135 (million)
% 20.27/4.33 % (3184057)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3328500872:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 20.27/4.33 % (3184058)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4063987568:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 20.27/4.33 % (3184057)Instruction limit reached!
% 20.27/4.33 % (3184057)------------------------------
% 20.27/4.33 % (3184057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184057)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184057)Termination reason: Instruction limit
% 20.27/4.33 % (3184057)Termination phase: Saturation
% 20.27/4.33 % (3184057)Time elapsed: 0.324 s
% 20.27/4.33 % (3184057)Peak memory usage: 102 MB
% 20.27/4.33 % (3184057)Instructions burned: 592 (million)
% 20.27/4.33 % (3184061)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=2603813894:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 20.27/4.33 % (3184061)Instruction limit reached!
% 20.27/4.33 % (3184061)------------------------------
% 20.27/4.33 % (3184061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184061)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184061)Termination reason: Instruction limit
% 20.27/4.33 % (3184061)Termination phase: Saturation
% 20.27/4.33 % (3184061)Time elapsed: 0.056 s
% 20.27/4.33 % (3184061)Peak memory usage: 93 MB
% 20.27/4.33 % (3184061)Instructions burned: 126 (million)
% 20.27/4.33 % (3184040)Instruction limit reached!
% 20.27/4.33 % (3184040)------------------------------
% 20.27/4.33 % (3184040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184040)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184040)Termination reason: Instruction limit
% 20.27/4.33 % (3184040)Termination phase: Saturation
% 20.27/4.33 % (3184040)Time elapsed: 1.528 s
% 20.27/4.33 % (3184040)Peak memory usage: 244 MB
% 20.27/4.33 % (3184040)Instructions burned: 2350 (million)
% 20.27/4.33 % (3184063)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3461908456:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 20.27/4.33 % (3184064)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1344529567:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 20.27/4.33 % (3184063)Instruction limit reached!
% 20.27/4.33 % (3184063)------------------------------
% 20.27/4.33 % (3184063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184063)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184063)Termination reason: Instruction limit
% 20.27/4.33 % (3184063)Termination phase: Preprocessing 1
% 20.27/4.33 % (3184063)Time elapsed: 0.059 s
% 20.27/4.33 % (3184063)Peak memory usage: 90 MB
% 20.27/4.33 % (3184063)Instructions burned: 134 (million)
% 20.27/4.33 % (3184064)Refutation not found, incomplete strategy
% 20.27/4.33 % (3184064)------------------------------
% 20.27/4.33 % (3184064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184064)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184064)Termination reason: Refutation not found, incomplete strategy
% 20.27/4.33 % (3184064)Time elapsed: 0.023 s
% 20.27/4.33 % (3184064)Peak memory usage: 93 MB
% 20.27/4.33 % (3184064)Instructions burned: 43 (million)
% 20.27/4.33 % (3184067)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1587376436:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 20.27/4.33 % (3184067)Refutation not found, incomplete strategy
% 20.27/4.33 % (3184067)------------------------------
% 20.27/4.33 % (3184067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184067)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184067)Termination reason: Refutation not found, incomplete strategy
% 20.27/4.33 % (3184067)Time elapsed: 0.026 s
% 20.27/4.33 % (3184067)Peak memory usage: 93 MB
% 20.27/4.33 % (3184067)Instructions burned: 47 (million)
% 20.27/4.33 % (3184064)------------------------------
% 20.27/4.33 % (3184064)------------------------------
% 20.27/4.33 % (3184069)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=3401587837:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 20.27/4.33 % (3184067)------------------------------
% 20.27/4.33 % (3184067)------------------------------
% 20.27/4.33 % (3184071)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=3777981937:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 20.27/4.33 % (3184071)Instruction limit reached!
% 20.27/4.33 % (3184071)------------------------------
% 20.27/4.33 % (3184071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.27/4.33 % (3184071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.27/4.33 % (3184071)CaDiCaL version: 2.1.3
% 20.27/4.33 % (3184071)Termination reason: Instruction limit
% 20.27/4.33 % (3184071)Termination phase: Preprocessing 3
% 20.27/4.33 % (3184071)Time elapsed: 0.089 s
% 20.27/4.33 % (3184071)Peak memory usage: 95 MB
% 20.27/4.33 % (3184071)Instructions burned: 151 (million)
% 20.27/4.33 % (3184017)First to succeed.
% 20.27/4.33 % (3184017)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3184012"
% 20.27/4.33 % (3184073)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=629660757:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 20.27/4.33 % (3184018)Also succeeded, but the first one will report.
% 20.27/4.33 % (3184017)Refutation found. Thanks to Tanya!
% 20.27/4.33 % SZS status Theorem for theBenchmark
% 20.27/4.33 % SZS output start Proof for theBenchmark
% See solution above
% 24.16/4.53 % (3184017)------------------------------
% 24.16/4.53 % (3184017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.16/4.53 % (3184017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.16/4.53 % (3184017)CaDiCaL version: 2.1.3
% 24.16/4.53 % (3184017)Termination reason: Refutation
% 24.16/4.53 % (3184017)Time elapsed: 2.869 s
% 24.16/4.53 % (3184017)Peak memory usage: 254 MB
% 24.16/4.53 % (3184017)Instructions burned: 4911 (million)
% 24.16/4.53 % (3184017)------------------------------
% 24.16/4.53 % (3184017)------------------------------
% 24.16/4.53 % (3184012)Success in time 3.48 s
% 24.16/4.53 % Vampire exiting
%------------------------------------------------------------------------------