%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV625+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:58:27 PM UTC 2026
% Result : Theorem 22.46s 4.44s
% Output : Refutation 25.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 80 ( 19 unt; 1 def)
% Number of atoms : 290 ( 29 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 337 ( 127 ~; 157 |; 36 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 195 ( 0 sgn 185 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f150,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/sandbox/benchmark/theBenchmark.p','$_def_Coq.Relations.Relation_Definitions.inclusion') ).
fof(f239,axiom,
! [X0,X1,X2,X3] :
( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
<=> ( X2 = X3
& p(happ(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_HahnRelationsBasic.eqv_rel') ).
fof(f240,axiom,
! [X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
<=> ! [X2] :
( t(X2,X0)
=> ! [X3] :
( t(X3,X0)
=> ! [X4] :
( t(X4,X0)
=> ( p(happ(happ(X1,X2),X3))
=> ( p(happ(happ(X1,X2),X4))
=> X3 = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_HahnRelationsBasic.functional') ).
fof(f1882,axiom,
cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom),cHahnRelationsBasic_2eeqv__rel___24a2(cA,c_24__lam__167045)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','HahnRelationsBasic.BasicProperties.inclusion_eqv_rel_true') ).
fof(f2155,axiom,
! [X0,X1,X2,X3] :
( p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3))
<=> cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_HahnRelationsBasic.eqv_rel_$a4') ).
fof(f2206,axiom,
! [X0,X1] : happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1) = cHahnRelationsBasic_2eeqv__rel___24a2(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_HahnRelationsBasic.eqv_rel_$a2') ).
fof(f2848,conjecture,
cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2849,negated_conjecture,
~ cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
inference(negated_conjecture,[status(cth)],[f2848]) ).
fof(f2850,plain,
~ cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
inference(flattening,[],[f2849]) ).
fof(f2858,plain,
! [X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ p(happ(happ(X1,X2),X4))
| ~ p(happ(happ(X1,X2),X3))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ t(X2,X0) ) ),
inference(ennf_transformation,[],[f240]) ).
fof(f2859,plain,
! [X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
<=> ! [X2] :
( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ p(happ(happ(X1,X2),X4))
| ~ p(happ(happ(X1,X2),X3))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ t(X2,X0) ) ),
inference(flattening,[],[f2858]) ).
fof(f2881,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,[],[f150]) ).
fof(f2882,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,[],[f2881]) ).
fof(f2960,plain,
! [X0,X1] :
( ( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| ? [X2] :
( ? [X3] :
( ? [X4] :
( X3 != X4
& p(happ(happ(X1,X2),X4))
& p(happ(happ(X1,X2),X3))
& t(X4,X0) )
& t(X3,X0) )
& t(X2,X0) ) )
& ( ! [X2] :
( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ p(happ(happ(X1,X2),X4))
| ~ p(happ(happ(X1,X2),X3))
| ~ t(X4,X0) )
| ~ t(X3,X0) )
| ~ t(X2,X0) )
| ~ cHahnRelationsBasic_2efunctional___24a2(X0,X1) ) ),
inference(nnf_transformation,[],[f2859]) ).
fof(f2961,plain,
! [X0,X1] :
( ( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| ? [X2] :
( ? [X3] :
( ? [X4] :
( X3 != X4
& p(happ(happ(X1,X2),X4))
& p(happ(happ(X1,X2),X3))
& t(X4,X0) )
& t(X3,X0) )
& t(X2,X0) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( X6 = X7
| ~ p(happ(happ(X1,X5),X7))
| ~ p(happ(happ(X1,X5),X6))
| ~ t(X7,X0) )
| ~ t(X6,X0) )
| ~ t(X5,X0) )
| ~ cHahnRelationsBasic_2efunctional___24a2(X0,X1) ) ),
inference(rectify,[],[f2960]) ).
fof(f2962,plain,
! [X0,X1] :
( ( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| ( sK4(X0,X1) != sK5(X0,X1)
& p(happ(happ(X1,sK3(X0,X1)),sK5(X0,X1)))
& p(happ(happ(X1,sK3(X0,X1)),sK4(X0,X1)))
& t(sK5(X0,X1),X0)
& t(sK4(X0,X1),X0)
& t(sK3(X0,X1),X0) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( X6 = X7
| ~ p(happ(happ(X1,X5),X7))
| ~ p(happ(happ(X1,X5),X6))
| ~ t(X7,X0) )
| ~ t(X6,X0) )
| ~ t(X5,X0) )
| ~ cHahnRelationsBasic_2efunctional___24a2(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1)),skolemize(X4,sK5(X0,X1))],[f2961]) ).
fof(f2963,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,[],[f2882]) ).
fof(f2964,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,[],[f2963]) ).
fof(f2965,plain,
! [X0,X1,X2] :
( ( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ( ~ p(happ(happ(X2,sK6(X0,X1,X2)),sK7(X0,X1,X2)))
& p(happ(happ(X1,sK6(X0,X1,X2)),sK7(X0,X1,X2)))
& t(sK7(X0,X1,X2),X0)
& t(sK6(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,[sK6,sK7]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2))],[f2964]) ).
fof(f2969,plain,
! [X0,X1,X2,X3] :
( ( p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3))
| ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) )
& ( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| ~ p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f2155]) ).
fof(f3002,plain,
! [X0,X1,X2,X3] :
( ( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| X2 != X3
| ~ p(happ(X1,X2)) )
& ( ( X2 = X3
& p(happ(X1,X2)) )
| ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f239]) ).
fof(f3003,plain,
! [X0,X1,X2,X3] :
( ( cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| X2 != X3
| ~ p(happ(X1,X2)) )
& ( ( X2 = X3
& p(happ(X1,X2)) )
| ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ) ),
inference(flattening,[],[f3002]) ).
fof(f3009,plain,
~ cHahnRelationsBasic_2efunctional___24a2(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom)),
inference(cnf_transformation,[],[f2850]) ).
fof(f3015,plain,
! [X0,X1] :
( t(sK3(X0,X1),X0)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2962]) ).
fof(f3016,plain,
! [X0,X1] :
( t(sK4(X0,X1),X0)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2962]) ).
fof(f3017,plain,
! [X0,X1] :
( t(sK5(X0,X1),X0)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2962]) ).
fof(f3018,plain,
! [X0,X1] :
( p(happ(happ(X1,sK3(X0,X1)),sK4(X0,X1)))
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2962]) ).
fof(f3019,plain,
! [X0,X1] :
( p(happ(happ(X1,sK3(X0,X1)),sK5(X0,X1)))
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2962]) ).
fof(f3020,plain,
! [X0,X1] :
( sK4(X0,X1) != sK5(X0,X1)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(cnf_transformation,[],[f2962]) ).
fof(f3021,plain,
! [X0,X1] : happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1) = cHahnRelationsBasic_2eeqv__rel___24a2(X0,X1),
inference(cnf_transformation,[],[f2206]) ).
fof(f3025,plain,
cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,cHahnRelationsBasic_2eeqv__rel___24a2(cA,cdom),cHahnRelationsBasic_2eeqv__rel___24a2(cA,c_24__lam__167045)),
inference(cnf_transformation,[],[f1882]) ).
fof(f3052,plain,
! [X2,X0,X1,X6,X5] :
( ~ p(happ(happ(X1,X5),X6))
| p(happ(happ(X2,X5),X6))
| ~ t(X6,X0)
| ~ t(X5,X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ),
inference(cnf_transformation,[],[f2965]) ).
fof(f3055,plain,
! [X2,X0,X1] :
( p(happ(happ(X1,sK6(X0,X1,X2)),sK7(X0,X1,X2)))
| cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ),
inference(cnf_transformation,[],[f2965]) ).
fof(f3056,plain,
! [X2,X0,X1] :
( ~ p(happ(happ(X2,sK6(X0,X1,X2)),sK7(X0,X1,X2)))
| cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2) ),
inference(cnf_transformation,[],[f2965]) ).
fof(f3071,plain,
! [X2,X3,X0,X1] :
( ~ p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,X0),X1),X2),X3))
| cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2969]) ).
fof(f3178,plain,
! [X2,X3,X0,X1] :
( ~ cHahnRelationsBasic_2eeqv__rel___24a4(X0,X1,X2,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f3003]) ).
fof(f3192,plain,
~ cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(definition_unfolding,[],[f3009,f3021]) ).
fof(f3198,plain,
cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom),happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),c_24__lam__167045)),
inference(definition_unfolding,[],[f3025,f3021,f3021]) ).
fof(f3260,plain,
! [X0,X1] :
( cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X1)
| cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X1) ),
inference(resolution,[],[f3056,f3055]) ).
fof(f3261,plain,
! [X0,X1] : cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X1),
inference(duplicate_literal_removal,[],[f3260]) ).
fof(f3302,plain,
! [X2,X3,X0,X1] :
( ~ t(sK5(X1,X2),X3)
| p(happ(happ(X0,sK3(X1,X2)),sK5(X1,X2)))
| ~ t(sK3(X1,X2),X3)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X3,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(resolution,[],[f3052,f3019]) ).
fof(f3303,plain,
! [X2,X3,X0,X1] :
( ~ t(sK4(X1,X2),X3)
| p(happ(happ(X0,sK3(X1,X2)),sK4(X1,X2)))
| ~ t(sK3(X1,X2),X3)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X3,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(resolution,[],[f3052,f3018]) ).
fof(f3312,plain,
! [X2,X0,X1] :
( p(happ(happ(X0,sK3(X1,X2)),sK5(X1,X2)))
| ~ t(sK3(X1,X2),X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(resolution,[],[f3302,f3017]) ).
fof(f3314,plain,
! [X2,X0,X1] :
( p(happ(happ(X0,sK3(X1,X2)),sK5(X1,X2)))
| ~ t(sK3(X1,X2),X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(duplicate_literal_removal,[],[f3312]) ).
fof(f3315,plain,
! [X2,X0,X1] :
( p(happ(happ(X0,sK3(X1,X2)),sK5(X1,X2)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(forward_subsumption_resolution,[],[f3314,f3015]) ).
fof(f3317,plain,
! [X2,X3,X0,X1,X4] :
( ~ t(sK5(X0,X1),X4)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| p(happ(happ(X3,sK3(X0,X1)),sK5(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ~ t(sK3(X0,X1),X4)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X4,X2,X3) ),
inference(resolution,[],[f3315,f3052]) ).
fof(f3319,plain,
! [X2,X0,X1] :
( p(happ(happ(X0,sK3(X1,X2)),sK4(X1,X2)))
| ~ t(sK3(X1,X2),X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(resolution,[],[f3303,f3016]) ).
fof(f3321,plain,
! [X2,X0,X1] :
( p(happ(happ(X0,sK3(X1,X2)),sK4(X1,X2)))
| ~ t(sK3(X1,X2),X1)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(duplicate_literal_removal,[],[f3319]) ).
fof(f3322,plain,
! [X2,X0,X1] :
( p(happ(happ(X0,sK3(X1,X2)),sK4(X1,X2)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X1,X2,X0)
| cHahnRelationsBasic_2efunctional___24a2(X1,X2) ),
inference(forward_subsumption_resolution,[],[f3321,f3015]) ).
fof(f3324,plain,
! [X2,X3,X0,X1,X4] :
( ~ t(sK4(X0,X1),X4)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| p(happ(happ(X3,sK3(X0,X1)),sK4(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X2)
| ~ t(sK3(X0,X1),X4)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X4,X2,X3) ),
inference(resolution,[],[f3322,f3052]) ).
fof(f3326,plain,
! [X2,X3,X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| p(happ(happ(X2,sK3(X0,X1)),sK5(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X3)
| ~ t(sK3(X0,X1),X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X3,X2)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(resolution,[],[f3317,f3017]) ).
fof(f3328,plain,
! [X2,X3,X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| p(happ(happ(X2,sK3(X0,X1)),sK5(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X3)
| ~ t(sK3(X0,X1),X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X3,X2) ),
inference(duplicate_literal_removal,[],[f3326]) ).
fof(f3329,plain,
! [X2,X3,X0,X1] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X3,X2)
| p(happ(happ(X2,sK3(X0,X1)),sK5(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X3)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f3328,f3015]) ).
fof(f3330,plain,
! [X0] :
( p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),c_24__lam__167045),sK3(cA,X0)),sK5(cA,X0)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,X0) ),
inference(resolution,[],[f3329,f3198]) ).
fof(f3426,plain,
! [X2,X3,X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| p(happ(happ(X2,sK3(X0,X1)),sK4(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X3)
| ~ t(sK3(X0,X1),X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X3,X2)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(resolution,[],[f3324,f3016]) ).
fof(f3428,plain,
! [X2,X3,X0,X1] :
( cHahnRelationsBasic_2efunctional___24a2(X0,X1)
| p(happ(happ(X2,sK3(X0,X1)),sK4(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X3)
| ~ t(sK3(X0,X1),X0)
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X3,X2) ),
inference(duplicate_literal_removal,[],[f3426]) ).
fof(f3429,plain,
! [X2,X3,X0,X1] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X3,X2)
| p(happ(happ(X2,sK3(X0,X1)),sK4(X0,X1)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(X0,X1,X3)
| cHahnRelationsBasic_2efunctional___24a2(X0,X1) ),
inference(forward_subsumption_resolution,[],[f3428,f3015]) ).
fof(f3430,plain,
! [X0] :
( p(happ(happ(happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),c_24__lam__167045),sK3(cA,X0)),sK4(cA,X0)))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,X0) ),
inference(resolution,[],[f3429,f3198]) ).
fof(f6727,definition,
( spl33_62
<=> sK5(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) ),
introduced(definition,[new_symbols(definition,[spl33_62])],[avatar_definition]) ).
fof(f6728,plain,
( sK5(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) != sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| spl33_62 ),
inference(avatar_component_clause,[],[f6727]) ).
fof(f6729,plain,
( sK5(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| ~ spl33_62 ),
inference(avatar_component_clause,[],[f6727]) ).
fof(f6767,plain,
( sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) != sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| ~ spl33_62 ),
inference(superposition,[],[f3020,f6729]) ).
fof(f6800,plain,
( cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| ~ spl33_62 ),
inference(trivial_inequality_removal,[],[f6767]) ).
fof(f6808,plain,
( $false
| ~ spl33_62 ),
inference(forward_subsumption_resolution,[],[f6800,f3192]) ).
fof(f6809,plain,
~ spl33_62,
inference(avatar_contradiction_clause,[],[f6808]) ).
fof(f8465,plain,
! [X0] :
( cHahnRelationsBasic_2eeqv__rel___24a4(cA,c_24__lam__167045,sK3(cA,X0),sK5(cA,X0))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,X0) ),
inference(resolution,[],[f3071,f3330]) ).
fof(f8466,plain,
! [X0] :
( cHahnRelationsBasic_2eeqv__rel___24a4(cA,c_24__lam__167045,sK3(cA,X0),sK4(cA,X0))
| ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,X0) ),
inference(resolution,[],[f3071,f3430]) ).
fof(f8509,plain,
! [X0] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,X0)
| sK3(cA,X0) = sK5(cA,X0) ),
inference(resolution,[],[f8465,f3178]) ).
fof(f8513,plain,
( cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| sK3(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK5(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) ),
inference(resolution,[],[f8509,f3261]) ).
fof(f8514,plain,
sK3(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK5(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(forward_subsumption_resolution,[],[f8513,f3192]) ).
fof(f8525,plain,
( sK3(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) != sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| spl33_62 ),
inference(superposition,[],[f6728,f8514]) ).
fof(f8895,plain,
! [X0] :
( ~ cCoq_2eRelations_2eRelation__Definitions_2einclusion___24a3(cA,X0,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| cHahnRelationsBasic_2efunctional___24a2(cA,X0)
| sK3(cA,X0) = sK4(cA,X0) ),
inference(resolution,[],[f8466,f3178]) ).
fof(f8899,plain,
( cHahnRelationsBasic_2efunctional___24a2(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom))
| sK3(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) ),
inference(resolution,[],[f8895,f3261]) ).
fof(f8900,plain,
sK3(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)) = sK4(cA,happ(happ(cHahnRelationsBasic_2eeqv__rel,cA),cdom)),
inference(forward_subsumption_resolution,[],[f8899,f3192]) ).
fof(f8901,plain,
( $false
| spl33_62 ),
inference(forward_subsumption_resolution,[],[f8900,f8525]) ).
fof(f8902,plain,
spl33_62,
inference(avatar_contradiction_clause,[],[f8901]) ).
cnf(s38,plain,
~ spl33_62,
inference(sat_conversion,[],[f6809]) ).
cnf(s80,plain,
spl33_62,
inference(sat_conversion,[],[f8902]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s38,s80]) ).
fof(f8903,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV625+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 06:45:09 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.40/2.78 % (2051536)Detected formulas, will run a generic FOF schedule.
% 12.40/2.78 % (2051545)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=194154458:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.40/2.78 % (2051545)Refutation not found, incomplete strategy
% 12.40/2.78 % (2051545)------------------------------
% 12.40/2.78 % (2051545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.78 % (2051545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.78 % (2051545)CaDiCaL version: 2.1.3
% 12.40/2.78 % (2051545)Termination reason: Refutation not found, incomplete strategy
% 12.40/2.78 % (2051545)Time elapsed: 0.009 s
% 12.40/2.78 % (2051545)Peak memory usage: 92 MB
% 12.40/2.78 % (2051545)Instructions burned: 29 (million)
% 12.40/2.78 % (2051542)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=248092578:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.40/2.78 % (2051544)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=779978103:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.40/2.78 % (2051541)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=3081373230:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.40/2.78 % (2051543)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=3633959322:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.40/2.78 % (2051547)dis-21_1_sil=8000:lcm=predicate:random_seed=704907286: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)
% 12.40/2.78 % (2051546)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2433700929:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.40/2.78 % (2051544)Refutation not found, incomplete strategy
% 12.40/2.78 % (2051544)------------------------------
% 12.40/2.78 % (2051544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.78 % (2051544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.78 % (2051544)CaDiCaL version: 2.1.3
% 12.40/2.78 % (2051544)Termination reason: Refutation not found, incomplete strategy
% 12.40/2.78 % (2051544)Time elapsed: 0.014 s
% 12.40/2.78 % (2051544)Peak memory usage: 92 MB
% 12.40/2.78 % (2051544)Instructions burned: 29 (million)
% 12.40/2.78 % (2051546)Instruction limit reached!
% 12.40/2.78 % (2051546)------------------------------
% 12.40/2.78 % (2051546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.78 % (2051546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.78 % (2051546)CaDiCaL version: 2.1.3
% 12.40/2.78 % (2051546)Termination reason: Instruction limit
% 12.40/2.78 % (2051546)Termination phase: Preprocessing 3
% 12.40/2.78 % (2051546)Time elapsed: 0.073 s
% 12.40/2.78 % (2051546)Peak memory usage: 92 MB
% 12.40/2.78 % (2051546)Instructions burned: 141 (million)
% 12.40/2.78 % (2051547)Instruction limit reached!
% 12.40/2.78 % (2051547)------------------------------
% 12.40/2.78 % (2051547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.40/2.78 % (2051547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.40/2.78 % (2051547)CaDiCaL version: 2.1.3
% 12.40/2.78 % (2051547)Termination reason: Instruction limit
% 12.40/2.78 % (2051547)Termination phase: Preprocessing 3
% 12.40/2.78 % (2051547)Time elapsed: 0.073 s
% 12.40/2.78 % (2051547)Peak memory usage: 94 MB
% 12.40/2.78 % (2051547)Instructions burned: 130 (million)
% 12.40/2.78 % (2051545)------------------------------
% 12.40/2.78 % (2051545)------------------------------
% 12.40/2.78 % (2051556)lrs+10_1_sil=32000:urr=on:br=off:random_seed=415816057:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.40/2.78 % (2051555)lrs+10_1_sil=8000:sp=occurrence:random_seed=874486396:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.40/2.78 % (2051557)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1812557784:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.40/2.78 % (2051544)------------------------------
% 12.40/2.78 % (2051544)------------------------------
% 12.40/2.78 % (2051556)Refutation not found, incomplete strategy
% 12.40/2.78 % (2051556)------------------------------
% 20.76/3.96 % (2051556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.76/3.96 % (2051556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.96 % (2051556)CaDiCaL version: 2.1.3
% 20.76/3.96 % (2051556)Termination reason: Refutation not found, incomplete strategy
% 20.76/3.96 % (2051556)Time elapsed: 0.027 s
% 20.76/3.96 % (2051556)Peak memory usage: 92 MB
% 20.76/3.96 % (2051556)Instructions burned: 64 (million)
% 20.76/3.96 % (2051557)Instruction limit reached!
% 20.76/3.96 % (2051557)------------------------------
% 20.76/3.96 % (2051557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.76/3.96 % (2051557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.96 % (2051557)CaDiCaL version: 2.1.3
% 20.76/3.96 % (2051557)Termination reason: Instruction limit
% 20.76/3.96 % (2051557)Termination phase: Saturation
% 20.76/3.96 % (2051557)Time elapsed: 0.095 s
% 20.76/3.96 % (2051557)Peak memory usage: 93 MB
% 20.76/3.96 % (2051557)Instructions burned: 328 (million)
% 20.76/3.96 % (2051555)Instruction limit reached!
% 20.76/3.96 % (2051555)------------------------------
% 20.76/3.96 % (2051555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.76/3.96 % (2051555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.96 % (2051555)CaDiCaL version: 2.1.3
% 20.76/3.96 % (2051555)Termination reason: Instruction limit
% 20.76/3.96 % (2051555)Termination phase: Saturation
% 20.76/3.96 % (2051555)Time elapsed: 0.174 s
% 20.76/3.96 % (2051555)Peak memory usage: 95 MB
% 20.76/3.96 % (2051555)Instructions burned: 285 (million)
% 20.76/3.96 % (2051561)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=3676199848:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 20.76/3.96 % (2051562)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=762095113:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.76/3.96 % (2051562)Refutation not found, incomplete strategy
% 20.76/3.96 % (2051562)------------------------------
% 20.76/3.96 % (2051562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.76/3.96 % (2051562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.96 % (2051562)CaDiCaL version: 2.1.3
% 20.76/3.96 % (2051562)Termination reason: Refutation not found, incomplete strategy
% 20.76/3.96 % (2051562)Time elapsed: 0.012 s
% 20.76/3.96 % (2051562)Peak memory usage: 92 MB
% 20.76/3.96 % (2051562)Instructions burned: 46 (million)
% 20.76/3.96 % (2051556)------------------------------
% 20.76/3.96 % (2051556)------------------------------
% 20.76/3.96 % (2051561)Instruction limit reached!
% 20.76/3.96 % (2051561)------------------------------
% 20.76/3.96 % (2051561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.76/3.96 % (2051561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.96 % (2051561)CaDiCaL version: 2.1.3
% 20.76/3.96 % (2051561)Termination reason: Instruction limit
% 20.76/3.96 % (2051561)Termination phase: Function definition elimination
% 20.76/3.96 % (2051561)Time elapsed: 0.120 s
% 20.76/3.96 % (2051561)Peak memory usage: 95 MB
% 20.76/3.96 % (2051561)Instructions burned: 249 (million)
% 20.76/3.96 % (2051563)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1207638325:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 20.76/3.96 % (2051562)------------------------------
% 20.76/3.96 % (2051562)------------------------------
% 20.76/3.96 % (2051566)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1100112930:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 20.76/3.96 % (2051567)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3330879767:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 20.76/3.96 % (2051566)Instruction limit reached!
% 20.76/3.96 % (2051566)------------------------------
% 20.76/3.96 % (2051566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.76/3.96 % (2051566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.76/3.96 % (2051566)CaDiCaL version: 2.1.3
% 20.76/3.96 % (2051566)Termination reason: Instruction limit
% 20.76/3.96 % (2051566)Termination phase: Preprocessing 3
% 20.76/3.96 % (2051566)Time elapsed: 0.066 s
% 20.76/3.96 % (2051566)Peak memory usage: 93 MB
% 20.76/3.96 % (2051566)Instructions burned: 114 (million)
% 20.76/3.96 % (2051569)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=187642783:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 22.46/4.44 % (2051567)Instruction limit reached!
% 22.46/4.44 % (2051567)------------------------------
% 22.46/4.44 % (2051567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051567)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051567)Termination reason: Instruction limit
% 22.46/4.44 % (2051567)Termination phase: Property scanning
% 22.46/4.44 % (2051567)Time elapsed: 0.077 s
% 22.46/4.44 % (2051567)Peak memory usage: 95 MB
% 22.46/4.44 % (2051567)Instructions burned: 127 (million)
% 22.46/4.44 % (2051569)Instruction limit reached!
% 22.46/4.44 % (2051569)------------------------------
% 22.46/4.44 % (2051569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051569)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051569)Termination reason: Instruction limit
% 22.46/4.44 % (2051569)Termination phase: Preprocessing 3
% 22.46/4.44 % (2051569)Time elapsed: 0.028 s
% 22.46/4.44 % (2051569)Peak memory usage: 90 MB
% 22.46/4.44 % (2051569)Instructions burned: 114 (million)
% 22.46/4.44 % (2051572)lrs+10_1_sil=8000:sp=occurrence:random_seed=3864064692:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 22.46/4.44 % (2051575)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3201242683:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 22.46/4.44 % (2051574)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=609402347:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 22.46/4.44 % (2051574)Instruction limit reached!
% 22.46/4.44 % (2051574)------------------------------
% 22.46/4.44 % (2051574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051574)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051574)Termination reason: Instruction limit
% 22.46/4.44 % (2051574)Termination phase: Saturation
% 22.46/4.44 % (2051574)Time elapsed: 0.221 s
% 22.46/4.44 % (2051574)Peak memory usage: 102 MB
% 22.46/4.44 % (2051574)Instructions burned: 437 (million)
% 22.46/4.44 % (2051579)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=73472432:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 22.46/4.44 % (2051579)Instruction limit reached!
% 22.46/4.44 % (2051579)------------------------------
% 22.46/4.44 % (2051579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051579)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051579)Termination reason: Instruction limit
% 22.46/4.44 % (2051579)Termination phase: NewCNF
% 22.46/4.44 % (2051579)Time elapsed: 0.079 s
% 22.46/4.44 % (2051579)Peak memory usage: 93 MB
% 22.46/4.44 % (2051579)Instructions burned: 134 (million)
% 22.46/4.44 % (2051572)Instruction limit reached!
% 22.46/4.44 % (2051572)------------------------------
% 22.46/4.44 % (2051572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051572)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051572)Termination reason: Instruction limit
% 22.46/4.44 % (2051572)Termination phase: Saturation
% 22.46/4.44 % (2051572)Time elapsed: 0.542 s
% 22.46/4.44 % (2051572)Peak memory usage: 112 MB
% 22.46/4.44 % (2051572)Instructions burned: 908 (million)
% 22.46/4.44 % (2051581)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1105517844:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 22.46/4.44 % (2051581)Refutation not found, incomplete strategy
% 22.46/4.44 % (2051581)------------------------------
% 22.46/4.44 % (2051581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051581)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051581)Termination reason: Refutation not found, incomplete strategy
% 22.46/4.44 % (2051581)Time elapsed: 0.032 s
% 22.46/4.44 % (2051581)Peak memory usage: 92 MB
% 22.46/4.44 % (2051581)Instructions burned: 66 (million)
% 22.46/4.44 % (2051582)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1007269721:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 22.46/4.44 % (2051581)------------------------------
% 22.46/4.44 % (2051581)------------------------------
% 22.46/4.44 % (2051586)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=106753717:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 22.46/4.44 % (2051563)Instruction limit reached!
% 22.46/4.44 % (2051563)------------------------------
% 22.46/4.44 % (2051563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051563)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051563)Termination reason: Instruction limit
% 22.46/4.44 % (2051563)Termination phase: Saturation
% 22.46/4.44 % (2051563)Time elapsed: 1.479 s
% 22.46/4.44 % (2051563)Peak memory usage: 232 MB
% 22.46/4.44 % (2051563)Instructions burned: 2351 (million)
% 22.46/4.44 % (2051586)Instruction limit reached!
% 22.46/4.44 % (2051586)------------------------------
% 22.46/4.44 % (2051586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051586)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051586)Termination reason: Instruction limit
% 22.46/4.44 % (2051586)Termination phase: Saturation
% 22.46/4.44 % (2051586)Time elapsed: 0.052 s
% 22.46/4.44 % (2051586)Peak memory usage: 93 MB
% 22.46/4.44 % (2051586)Instructions burned: 125 (million)
% 22.46/4.44 % (2051588)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=327097100:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 22.46/4.44 % (2051589)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3109067552:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 22.46/4.44 % (2051589)Refutation not found, incomplete strategy
% 22.46/4.44 % (2051589)------------------------------
% 22.46/4.44 % (2051589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051589)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051589)Termination reason: Refutation not found, incomplete strategy
% 22.46/4.44 % (2051589)Time elapsed: 0.014 s
% 22.46/4.44 % (2051589)Peak memory usage: 92 MB
% 22.46/4.44 % (2051589)Instructions burned: 29 (million)
% 22.46/4.44 % (2051588)Instruction limit reached!
% 22.46/4.44 % (2051588)------------------------------
% 22.46/4.44 % (2051588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051588)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051588)Termination reason: Instruction limit
% 22.46/4.44 % (2051588)Termination phase: Naming
% 22.46/4.44 % (2051588)Time elapsed: 0.058 s
% 22.46/4.44 % (2051588)Peak memory usage: 90 MB
% 22.46/4.44 % (2051588)Instructions burned: 134 (million)
% 22.46/4.44 % (2051592)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3499201581:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 22.46/4.44 % (2051589)------------------------------
% 22.46/4.44 % (2051589)------------------------------
% 22.46/4.44 % (2051592)Instruction limit reached!
% 22.46/4.44 % (2051592)------------------------------
% 22.46/4.44 % (2051592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051592)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051592)Termination reason: Instruction limit
% 22.46/4.44 % (2051592)Termination phase: Saturation
% 22.46/4.44 % (2051592)Time elapsed: 0.209 s
% 22.46/4.44 % (2051592)Peak memory usage: 93 MB
% 22.46/4.44 % (2051592)Instructions burned: 434 (million)
% 22.46/4.44 % (2051594)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=2808620170:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 22.46/4.44 % (2051595)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=2899633683:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 22.46/4.44 % (2051595)Instruction limit reached!
% 22.46/4.44 % (2051595)------------------------------
% 22.46/4.44 % (2051595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.44 % (2051595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.44 % (2051595)CaDiCaL version: 2.1.3
% 22.46/4.44 % (2051595)Termination reason: Instruction limit
% 22.46/4.44 % (2051595)Termination phase: Property scanning
% 22.46/4.44 % (2051595)Time elapsed: 0.080 s
% 22.46/4.44 % (2051595)Peak memory usage: 95 MB
% 22.46/4.44 % (2051595)Instructions burned: 151 (million)
% 22.46/4.44 % (2051582)First to succeed.
% 22.46/4.44 % (2051582)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2051536"
% 22.46/4.44 % (2051598)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2201699814:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 22.46/4.44 % (2051582)Refutation found. Thanks to Tanya!
% 22.46/4.44 % SZS status Theorem for theBenchmark
% 22.46/4.44 % SZS output start Proof for theBenchmark
% See solution above
% 25.03/4.64 % (2051582)------------------------------
% 25.03/4.64 % (2051582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.64 % (2051582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.64 % (2051582)CaDiCaL version: 2.1.3
% 25.03/4.64 % (2051582)Termination reason: Refutation
% 25.03/4.64 % (2051582)Time elapsed: 1.378 s
% 25.03/4.64 % (2051582)Peak memory usage: 143 MB
% 25.03/4.64 % (2051582)Instructions burned: 2074 (million)
% 25.03/4.64 % (2051582)------------------------------
% 25.03/4.64 % (2051582)------------------------------
% 25.03/4.64 % (2051536)Success in time 3.571 s
% 25.03/4.64 % Vampire exiting
%------------------------------------------------------------------------------