%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV740-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:19:23 PM UTC 2026
% Result : Unsatisfiable 7.42s 1.95s
% Output : Refutation 9.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 35
% Syntax : Number of formulae : 123 ( 48 unt; 15 def)
% Number of atoms : 267 ( 46 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 253 ( 109 ~; 139 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 22 con; 0-4 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X2,X0,X1] : c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
fof(f31,plain,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Oimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2),
inference(reorient_equations,[],[f30]) ).
fof(f49,axiom,
! [X0,X1] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
fof(f63,axiom,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f71,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__mp_0) ).
fof(f188,axiom,
! [X2,X0,X1] :
( c_in(X0,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
fof(f196,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
fof(f320,axiom,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool)) = c_Set_Oinsert(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
fof(f369,axiom,
! [X0] : c_lessequals(X0,c_Message_Oanalz(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
fof(f419,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
fof(f596,axiom,
! [X2,X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK_0) ).
fof(f628,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Set_Oinsert(X3,X1,X2),X2)
| X0 = X3
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).
fof(f641,axiom,
! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
fof(f653,axiom,
! [X2,X0,X1] :
( c_in(X0,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
fof(f654,axiom,
! [X2,X3,X0,X1,X4] : c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
fof(f655,plain,
! [X2,X3,X0,X1,X4] : c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4) = c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4),
inference(reorient_equations,[],[f654]) ).
fof(f661,negated_conjecture,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f662,negated_conjecture,
~ c_in(v_KAB,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f663,negated_conjecture,
( v_K != v_KAB
| ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f664,plain,
( v_KAB != v_K
| ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(reorient_equations,[],[f663]) ).
fof(f665,negated_conjecture,
( ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f666,negated_conjecture,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| v_K = v_KAB ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f667,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| v_KAB = v_K ),
inference(reorient_equations,[],[f666]) ).
fof(f705,definition,
sF0 = tc_List_Olist(tc_Event_Oevent),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f706,plain,
tc_List_Olist(tc_Event_Oevent) = sF0,
inference(reorient_equations,[],[f705]) ).
fof(f707,plain,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,sF0),
inference(definition_folding,[],[f661,f706]) ).
fof(f708,definition,
sF1 = tc_fun(tc_Message_Oagent,tc_bool),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f709,plain,
tc_fun(tc_Message_Oagent,tc_bool) = sF1,
inference(reorient_equations,[],[f708]) ).
fof(f710,definition,
sF2 = c_Orderings_Otop__class_Otop(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f711,plain,
c_Orderings_Otop__class_Otop(sF1) = sF2,
inference(reorient_equations,[],[f710]) ).
fof(f712,definition,
sF3 = c_Set_Oimage(c_Public_OshrK,sF2,tc_Message_Oagent,tc_nat),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f713,plain,
c_Set_Oimage(c_Public_OshrK,sF2,tc_Message_Oagent,tc_nat) = sF3,
inference(reorient_equations,[],[f712]) ).
fof(f714,plain,
~ c_in(v_KAB,sF3,tc_nat),
inference(definition_folding,[],[f662,f713,f711,f709]) ).
fof(f715,definition,
sF4 = hAPP(c_Message_Omsg_OKey,v_K),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f716,plain,
hAPP(c_Message_Omsg_OKey,v_K) = sF4,
inference(reorient_equations,[],[f715]) ).
fof(f717,definition,
sF5 = hAPP(c_Message_Omsg_OKey,v_KAB),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f718,plain,
hAPP(c_Message_Omsg_OKey,v_KAB) = sF5,
inference(reorient_equations,[],[f717]) ).
fof(f719,definition,
sF6 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f720,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) = sF6,
inference(reorient_equations,[],[f719]) ).
fof(f721,definition,
sF7 = c_Set_Oinsert(sF5,sF6,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f722,plain,
c_Set_Oinsert(sF5,sF6,tc_Message_Omsg) = sF7,
inference(reorient_equations,[],[f721]) ).
fof(f723,definition,
sF8 = c_Message_Oanalz(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f724,plain,
c_Message_Oanalz(sF7) = sF8,
inference(reorient_equations,[],[f723]) ).
fof(f725,plain,
( v_KAB != v_K
| ~ c_in(sF4,sF8,tc_Message_Omsg) ),
inference(definition_folding,[],[f664,f724,f722,f720,f718,f716]) ).
fof(f726,definition,
sF9 = c_Message_Oanalz(sF6),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f727,plain,
c_Message_Oanalz(sF6) = sF9,
inference(reorient_equations,[],[f726]) ).
fof(f728,plain,
( ~ c_in(sF4,sF9,tc_Message_Omsg)
| ~ c_in(sF4,sF8,tc_Message_Omsg) ),
inference(definition_folding,[],[f665,f724,f722,f720,f718,f716,f727,f720,f716]) ).
fof(f729,plain,
( c_in(sF4,sF8,tc_Message_Omsg)
| c_in(sF4,sF9,tc_Message_Omsg)
| v_KAB = v_K ),
inference(definition_folding,[],[f667,f727,f720,f716,f724,f722,f720,f718,f716]) ).
fof(f735,definition,
( spl10_1
<=> v_KAB = v_K ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f736,plain,
( v_KAB != v_K
| spl10_1 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f737,plain,
( v_KAB = v_K
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f739,definition,
( spl10_2
<=> c_in(sF4,sF9,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f740,plain,
( ~ c_in(sF4,sF9,tc_Message_Omsg)
| spl10_2 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f741,plain,
( c_in(sF4,sF9,tc_Message_Omsg)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f743,definition,
( spl10_3
<=> c_in(sF4,sF8,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f744,plain,
( ~ c_in(sF4,sF8,tc_Message_Omsg)
| spl10_3 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f745,plain,
( c_in(sF4,sF8,tc_Message_Omsg)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f746,plain,
( spl10_1
| spl10_2
| spl10_3 ),
inference(avatar_split_clause,[],[f729,f743,f739,f735]) ).
fof(f747,plain,
( ~ spl10_3
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f728,f739,f743]) ).
fof(f748,plain,
( ~ spl10_3
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f725,f735,f743]) ).
fof(f752,plain,
! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X0,X3),X2,tc_fun(X3,tc_bool)),
inference(forward_demodulation,[],[f196,f320]) ).
fof(f799,plain,
! [X2,X0,X1] : c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(v_KAB,X0,X1),X1,X2) = c_Set_Oinsert(sF5,c_Set_Oimage(c_Message_Omsg_OKey,X0,X1,X2),X2),
inference(superposition,[],[f655,f718]) ).
fof(f844,plain,
c_in(sF5,sF7,tc_Message_Omsg),
inference(superposition,[],[f641,f722]) ).
fof(f873,plain,
c_lessequals(sF7,sF8,tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[],[f369,f724]) ).
fof(f876,plain,
! [X0] :
( ~ c_in(X0,sF7,tc_Message_Omsg)
| c_in(X0,sF8,tc_Message_Omsg) ),
inference(resolution,[],[f873,f184]) ).
fof(f944,plain,
! [X0] :
( c_in(X0,c_Message_Oanalz(sF7),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(sF6),tc_Message_Omsg) ),
inference(superposition,[],[f653,f722]) ).
fof(f947,plain,
! [X0] :
( c_in(X0,sF8,tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(sF6),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f944,f724]) ).
fof(f948,plain,
! [X0] :
( ~ c_in(X0,sF9,tc_Message_Omsg)
| c_in(X0,sF8,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f947,f727]) ).
fof(f949,plain,
( c_in(sF4,sF8,tc_Message_Omsg)
| ~ spl10_2 ),
inference(resolution,[],[f948,f741]) ).
fof(f950,plain,
( $false
| ~ spl10_2
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f949,f744]) ).
fof(f951,plain,
( ~ spl10_2
| spl10_3 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f952,plain,
( hAPP(c_Message_Omsg_OKey,v_KAB) = sF4
| ~ spl10_1 ),
inference(superposition,[],[f716,f737]) ).
fof(f953,plain,
( sF4 = sF5
| ~ spl10_1 ),
inference(forward_demodulation,[],[f952,f718]) ).
fof(f954,plain,
( ~ c_in(sF5,sF8,tc_Message_Omsg)
| ~ spl10_1
| spl10_3 ),
inference(superposition,[],[f744,f953]) ).
fof(f968,plain,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X1,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(sF6),tc_Message_Omsg)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[],[f596,f720]) ).
fof(f969,plain,
! [X0,X1] :
( c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X1,tc_nat)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f968,f727]) ).
fof(f973,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(sF1),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X1,tc_nat)
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f969,f709]) ).
fof(f977,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,sF2,tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X1,tc_nat)
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f973,f711]) ).
fof(f981,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X1,tc_nat)
| ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(forward_demodulation,[],[f977,f713]) ).
fof(f985,plain,
! [X0,X1] :
( ~ c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,sF0)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X0,X1,tc_nat) ),
inference(forward_demodulation,[],[f981,f706]) ).
fof(f988,plain,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X0,X1,tc_nat) ),
inference(forward_subsumption_resolution,[],[f985,f707]) ).
fof(f993,plain,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(sF5,c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),tc_Message_Omsg),sF6,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),sF9,tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_KAB,X0,tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X1,c_Set_Oinsert(v_KAB,X0,tc_nat),tc_nat) ),
inference(superposition,[],[f988,f799]) ).
fof(f994,plain,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),c_Set_Oinsert(sF5,sF6,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),sF9,tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_KAB,X0,tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X1,c_Set_Oinsert(v_KAB,X0,tc_nat),tc_nat) ),
inference(forward_demodulation,[],[f993,f752]) ).
fof(f997,plain,
! [X0,X1] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X0,tc_nat,tc_Message_Omsg),sF7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),sF9,tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_KAB,X0,tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X1,c_Set_Oinsert(v_KAB,X0,tc_nat),tc_nat) ),
inference(forward_demodulation,[],[f994,f722]) ).
fof(f1286,plain,
! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),sF7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X0,c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) ),
inference(superposition,[],[f997,f31]) ).
fof(f1287,plain,
! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(sF7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X0,c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) ),
inference(forward_demodulation,[],[f1286,f71]) ).
fof(f1290,plain,
! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),sF8,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| ~ c_lessequals(c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| c_in(X0,c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat) ),
inference(forward_demodulation,[],[f1287,f724]) ).
fof(f1294,definition,
( spl10_12
<=> c_lessequals(c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f1296,plain,
( ~ c_lessequals(c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| spl10_12 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1298,definition,
( spl10_13
<=> ! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),sF8,tc_Message_Omsg)
| c_in(X0,c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg) ) ),
introduced(definition,[new_symbols(definition,[spl10_13])],[avatar_definition]) ).
fof(f1299,plain,
( ! [X0] :
( c_in(X0,c_Set_Oinsert(v_KAB,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X0),sF8,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1300,plain,
( ~ spl10_12
| spl10_13 ),
inference(avatar_split_clause,[],[f1290,f1298,f1294]) ).
fof(f1304,plain,
( ~ c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(v_KAB,c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_nat)
| spl10_12 ),
inference(resolution,[],[f1296,f419]) ).
fof(f1305,plain,
( ~ c_in(v_KAB,c_HOL_Ouminus__class_Ouminus(sF3,tc_fun(tc_nat,tc_bool)),tc_nat)
| spl10_12 ),
inference(forward_subsumption_resolution,[],[f1304,f63]) ).
fof(f1306,plain,
( c_in(v_KAB,sF3,tc_nat)
| spl10_12 ),
inference(resolution,[],[f1305,f188]) ).
fof(f1307,plain,
( $false
| spl10_12 ),
inference(forward_subsumption_resolution,[],[f1306,f714]) ).
fof(f1308,plain,
spl10_12,
inference(avatar_contradiction_clause,[],[f1307]) ).
fof(f1309,plain,
( ! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),sF8,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| v_KAB = X0
| c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat) )
| ~ spl10_13 ),
inference(resolution,[],[f1299,f628]) ).
fof(f1311,plain,
( ! [X0] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X0),sF8,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X0),sF9,tc_Message_Omsg)
| v_KAB = X0 )
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f1309,f49]) ).
fof(f1312,plain,
( ~ c_in(sF4,sF8,tc_Message_Omsg)
| c_in(sF4,sF9,tc_Message_Omsg)
| v_KAB = v_K
| ~ spl10_13 ),
inference(superposition,[],[f1311,f716]) ).
fof(f1492,plain,
c_in(sF5,sF8,tc_Message_Omsg),
inference(resolution,[],[f876,f844]) ).
fof(f1493,plain,
( $false
| ~ spl10_1
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f1492,f954]) ).
fof(f1494,plain,
( ~ spl10_1
| spl10_3 ),
inference(avatar_contradiction_clause,[],[f1493]) ).
fof(f1495,plain,
( c_in(sF4,sF9,tc_Message_Omsg)
| v_KAB = v_K
| ~ spl10_3
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f1312,f745]) ).
fof(f1538,plain,
( v_KAB = v_K
| spl10_2
| ~ spl10_3
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f1495,f740]) ).
fof(f1544,plain,
( $false
| spl10_1
| spl10_2
| ~ spl10_3
| ~ spl10_13 ),
inference(forward_subsumption_resolution,[],[f1538,f736]) ).
fof(f1545,plain,
( spl10_1
| spl10_2
| ~ spl10_3
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
cnf(s1,plain,
( spl10_1
| spl10_2
| spl10_3 ),
inference(sat_conversion,[],[f746]) ).
cnf(s2,plain,
( ~ spl10_2
| ~ spl10_3 ),
inference(sat_conversion,[],[f747]) ).
cnf(s3,plain,
( ~ spl10_1
| ~ spl10_3 ),
inference(sat_conversion,[],[f748]) ).
cnf(s4,plain,
( ~ spl10_2
| spl10_3 ),
inference(sat_conversion,[],[f951]) ).
cnf(s13,plain,
( ~ spl10_12
| spl10_13 ),
inference(sat_conversion,[],[f1300]) ).
cnf(s14,plain,
spl10_12,
inference(sat_conversion,[],[f1308]) ).
cnf(s16,plain,
( ~ spl10_1
| spl10_3 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s24,plain,
( spl10_1
| spl10_2
| ~ spl10_3
| ~ spl10_13 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s25,plain,
spl10_13,
inference(rat,[],[s13,s14]) ).
cnf(s26,plain,
( spl10_2
| spl10_1 ),
inference(rat,[],[s1,s24,s25]) ).
cnf(s27,plain,
~ spl10_2,
inference(rat,[],[s2,s4]) ).
cnf(s28,plain,
spl10_1,
inference(rat,[],[s26,s27]) ).
cnf(s29,plain,
spl10_3,
inference(rat,[],[s16,s28]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s3,s29,s28]) ).
fof(f1548,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV740-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n007.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 12:22:56 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 7.42/1.95 % (2357351)Input is clausal, will run a generic CNF schedule.
% 7.42/1.95 % (2357357)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1171283737:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.42/1.95 % (2357359)lrs+10_1_sil=8000:sp=occurrence:random_seed=2159618756:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.42/1.95 % (2357358)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=102861244:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.42/1.95 % (2357356)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=1015664933:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.42/1.95 % (2357361)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=687930333:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.42/1.95 % (2357362)dis-21_1_sil=8000:lcm=predicate:random_seed=676491398:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.42/1.95 % (2357360)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=571080340:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.42/1.95 % (2357359)Instruction limit reached!
% 7.42/1.95 % (2357359)------------------------------
% 7.42/1.95 % (2357359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357359)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357359)Termination reason: Instruction limit
% 7.42/1.95 % (2357359)Termination phase: Saturation
% 7.42/1.95 % (2357359)Time elapsed: 0.074 s
% 7.42/1.95 % (2357359)Peak memory usage: 89 MB
% 7.42/1.95 % (2357359)Instructions burned: 107 (million)
% 7.42/1.95 % (2357362)Instruction limit reached!
% 7.42/1.95 % (2357362)------------------------------
% 7.42/1.95 % (2357362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357362)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357362)Termination reason: Instruction limit
% 7.42/1.95 % (2357362)Termination phase: Saturation
% 7.42/1.95 % (2357362)Time elapsed: 0.066 s
% 7.42/1.95 % (2357362)Peak memory usage: 89 MB
% 7.42/1.95 % (2357362)Instructions burned: 117 (million)
% 7.42/1.95 % (2357360)Instruction limit reached!
% 7.42/1.95 % (2357360)------------------------------
% 7.42/1.95 % (2357360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357360)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357360)Termination reason: Instruction limit
% 7.42/1.95 % (2357360)Termination phase: Saturation
% 7.42/1.95 % (2357360)Time elapsed: 0.072 s
% 7.42/1.95 % (2357360)Peak memory usage: 89 MB
% 7.42/1.95 % (2357360)Instructions burned: 115 (million)
% 7.42/1.95 % (2357361)Instruction limit reached!
% 7.42/1.95 % (2357361)------------------------------
% 7.42/1.95 % (2357361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357361)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357361)Termination reason: Instruction limit
% 7.42/1.95 % (2357361)Termination phase: Saturation
% 7.42/1.95 % (2357361)Time elapsed: 0.118 s
% 7.42/1.95 % (2357361)Peak memory usage: 90 MB
% 7.42/1.95 % (2357361)Instructions burned: 180 (million)
% 7.42/1.95 % (2357370)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=534219279:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.42/1.95 % (2357371)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=241642896:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.42/1.95 % (2357372)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1886641860:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.42/1.95 % (2357373)lrs+10_64_to=lpo:sil=8000:random_seed=2051359365:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.42/1.95 % (2357370)Instruction limit reached!
% 7.42/1.95 % (2357370)------------------------------
% 7.42/1.95 % (2357370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357370)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357370)Termination reason: Instruction limit
% 7.42/1.95 % (2357370)Termination phase: Saturation
% 7.42/1.95 % (2357370)Time elapsed: 0.085 s
% 7.42/1.95 % (2357370)Peak memory usage: 89 MB
% 7.42/1.95 % (2357370)Instructions burned: 144 (million)
% 7.42/1.95 % (2357371)Instruction limit reached!
% 7.42/1.95 % (2357371)------------------------------
% 7.42/1.95 % (2357371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357371)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357371)Termination reason: Instruction limit
% 7.42/1.95 % (2357371)Termination phase: Saturation
% 7.42/1.95 % (2357371)Time elapsed: 0.101 s
% 7.42/1.95 % (2357371)Peak memory usage: 91 MB
% 7.42/1.95 % (2357371)Instructions burned: 189 (million)
% 7.42/1.95 % (2357373)Instruction limit reached!
% 7.42/1.95 % (2357373)------------------------------
% 7.42/1.95 % (2357373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357373)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357373)Termination reason: Instruction limit
% 7.42/1.95 % (2357373)Termination phase: Saturation
% 7.42/1.95 % (2357373)Time elapsed: 0.079 s
% 7.42/1.95 % (2357373)Peak memory usage: 90 MB
% 7.42/1.95 % (2357373)Instructions burned: 126 (million)
% 7.42/1.95 % (2357372)Instruction limit reached!
% 7.42/1.95 % (2357372)------------------------------
% 7.42/1.95 % (2357372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357372)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357372)Termination reason: Instruction limit
% 7.42/1.95 % (2357372)Termination phase: Saturation
% 7.42/1.95 % (2357372)Time elapsed: 0.130 s
% 7.42/1.95 % (2357372)Peak memory usage: 90 MB
% 7.42/1.95 % (2357372)Instructions burned: 220 (million)
% 7.42/1.95 % (2357378)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3354265300:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.42/1.95 % (2357379)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3910748779:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.42/1.95 % (2357380)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3758399140:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.42/1.95 % (2357381)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3645669420:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.42/1.95 % (2357381)Instruction limit reached!
% 7.42/1.95 % (2357381)------------------------------
% 7.42/1.95 % (2357381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357381)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357381)Termination reason: Instruction limit
% 7.42/1.95 % (2357381)Termination phase: Saturation
% 7.42/1.95 % (2357381)Time elapsed: 0.059 s
% 7.42/1.95 % (2357381)Peak memory usage: 89 MB
% 7.42/1.95 % (2357381)Instructions burned: 108 (million)
% 7.42/1.95 % (2357378)Instruction limit reached!
% 7.42/1.95 % (2357378)------------------------------
% 7.42/1.95 % (2357378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357378)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357378)Termination reason: Instruction limit
% 7.42/1.95 % (2357378)Termination phase: Saturation
% 7.42/1.95 % (2357378)Time elapsed: 0.133 s
% 7.42/1.95 % (2357378)Peak memory usage: 90 MB
% 7.42/1.95 % (2357378)Instructions burned: 194 (million)
% 7.42/1.95 % (2357379)Instruction limit reached!
% 7.42/1.95 % (2357379)------------------------------
% 7.42/1.95 % (2357379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357379)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357379)Termination reason: Instruction limit
% 7.42/1.95 % (2357379)Termination phase: Saturation
% 7.42/1.95 % (2357379)Time elapsed: 0.105 s
% 7.42/1.95 % (2357379)Peak memory usage: 91 MB
% 7.42/1.95 % (2357379)Instructions burned: 159 (million)
% 7.42/1.95 % (2357386)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=404116631:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.42/1.95 % (2357388)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=350366039:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.42/1.95 % (2357387)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1227747047:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.42/1.95 % (2357386)Instruction limit reached!
% 7.42/1.95 % (2357386)------------------------------
% 7.42/1.95 % (2357386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357386)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357386)Termination reason: Instruction limit
% 7.42/1.95 % (2357386)Termination phase: Saturation
% 7.42/1.95 % (2357386)Time elapsed: 0.070 s
% 7.42/1.95 % (2357386)Peak memory usage: 90 MB
% 7.42/1.95 % (2357386)Instructions burned: 108 (million)
% 7.42/1.95 % (2357387)Instruction limit reached!
% 7.42/1.95 % (2357387)------------------------------
% 7.42/1.95 % (2357387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357387)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357387)Termination reason: Instruction limit
% 7.42/1.95 % (2357387)Termination phase: Saturation
% 7.42/1.95 % (2357387)Time elapsed: 0.155 s
% 7.42/1.95 % (2357387)Peak memory usage: 90 MB
% 7.42/1.95 % (2357387)Instructions burned: 243 (million)
% 7.42/1.95 % (2357392)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=854565107:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.42/1.95 % (2357356)First to succeed.
% 7.42/1.95 % (2357356)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2357351"
% 7.42/1.95 % (2357392)Instruction limit reached!
% 7.42/1.95 % (2357392)------------------------------
% 7.42/1.95 % (2357392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/1.95 % (2357392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/1.95 % (2357392)CaDiCaL version: 2.1.3
% 7.42/1.95 % (2357392)Termination reason: Instruction limit
% 7.42/1.95 % (2357392)Termination phase: Saturation
% 7.42/1.95 % (2357392)Time elapsed: 0.071 s
% 7.42/1.95 % (2357392)Peak memory usage: 89 MB
% 7.42/1.95 % (2357392)Instructions burned: 134 (million)
% 7.42/1.95 % (2357393)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=255144761:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.42/1.95 % (2357395)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2329186869:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 7.42/1.95 % (2357356)Refutation found. Thanks to Tanya!
% 7.42/1.95 % SZS status Unsatisfiable for theBenchmark
% 7.42/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 9.61/2.14 % (2357356)------------------------------
% 9.61/2.14 % (2357356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.14 % (2357356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.14 % (2357356)CaDiCaL version: 2.1.3
% 9.61/2.14 % (2357356)Termination reason: Refutation
% 9.61/2.14 % (2357356)Time elapsed: 0.856 s
% 9.61/2.14 % (2357356)Peak memory usage: 134 MB
% 9.61/2.14 % (2357356)Instructions burned: 1320 (million)
% 9.61/2.14 % (2357356)------------------------------
% 9.61/2.14 % (2357356)------------------------------
% 9.61/2.14 % (2357351)Success in time 1.286 s
% 9.61/2.14 % Vampire exiting
%------------------------------------------------------------------------------