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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV800-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 01:19:32 PM UTC 2026

% Result   : Unsatisfiable 11.68s 2.65s
% Output   : Refutation 12.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  132 (  65 unt;  28 def)
%            Number of atoms       :  221 (  40 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  168 (  79   ~;  81   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   9 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  37 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f266,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2)
      | c_in(X0,X3,X2)
      | c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).

fof(f415,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).

fof(f499,axiom,
    ! [X0,X1] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).

fof(f565,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).

fof(f583,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).

fof(f585,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f587,negated_conjecture,
    c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f588,negated_conjecture,
    c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f589,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f590,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f591,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f592,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f593,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f640,definition,
    sF0 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f641,plain,
    tc_List_Olist(tc_Event_Oevent) = sF0,
    inference(reorient_equations,[],[f640]) ).

fof(f642,plain,
    c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,sF0),
    inference(definition_folding,[],[f587,f641]) ).

fof(f643,definition,
    sF1 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f644,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF1,
    inference(reorient_equations,[],[f643]) ).

fof(f645,definition,
    sF2 = c_Message_Oanalz(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f646,plain,
    c_Message_Oanalz(sF1) = sF2,
    inference(reorient_equations,[],[f645]) ).

fof(f647,definition,
    sF3 = c_Message_Osynth(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f648,plain,
    c_Message_Osynth(sF2) = sF3,
    inference(reorient_equations,[],[f647]) ).

fof(f649,plain,
    c_in(v_Xa,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f588,f648,f646,f644]) ).

fof(f650,definition,
    sF4 = hAPP(c_Message_Omsg_OKey,v_K),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f651,plain,
    hAPP(c_Message_Omsg_OKey,v_K) = sF4,
    inference(reorient_equations,[],[f650]) ).

fof(f652,plain,
    ~ c_in(sF4,sF2,tc_Message_Omsg),
    inference(definition_folding,[],[f589,f646,f644,f651]) ).

fof(f653,definition,
    sF5 = hAPP(c_Public_OshrK,v_A),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f654,plain,
    hAPP(c_Public_OshrK,v_A) = sF5,
    inference(reorient_equations,[],[f653]) ).

fof(f655,definition,
    sF6 = c_Message_Omsg_ONonce(v_NA),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f656,plain,
    c_Message_Omsg_ONonce(v_NA) = sF6,
    inference(reorient_equations,[],[f655]) ).

fof(f657,definition,
    sF7 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f658,plain,
    c_Message_Omsg_OAgent(v_B) = sF7,
    inference(reorient_equations,[],[f657]) ).

fof(f659,definition,
    sF8 = c_Message_Omsg_OMPair(sF4,v_X),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f660,plain,
    c_Message_Omsg_OMPair(sF4,v_X) = sF8,
    inference(reorient_equations,[],[f659]) ).

fof(f661,definition,
    sF9 = c_Message_Omsg_OMPair(sF7,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f662,plain,
    c_Message_Omsg_OMPair(sF7,sF8) = sF9,
    inference(reorient_equations,[],[f661]) ).

fof(f663,definition,
    sF10 = c_Message_Omsg_OMPair(sF6,sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f664,plain,
    c_Message_Omsg_OMPair(sF6,sF9) = sF10,
    inference(reorient_equations,[],[f663]) ).

fof(f665,definition,
    sF11 = c_Message_Omsg_OCrypt(sF5,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f666,plain,
    c_Message_Omsg_OCrypt(sF5,sF10) = sF11,
    inference(reorient_equations,[],[f665]) ).

fof(f667,definition,
    sF12 = c_Set_Oinsert(v_Xa,sF1,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f668,plain,
    c_Set_Oinsert(v_Xa,sF1,tc_Message_Omsg) = sF12,
    inference(reorient_equations,[],[f667]) ).

fof(f669,definition,
    sF13 = c_Message_Oparts(sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f670,plain,
    c_Message_Oparts(sF12) = sF13,
    inference(reorient_equations,[],[f669]) ).

fof(f671,plain,
    c_in(sF11,sF13,tc_Message_Omsg),
    inference(definition_folding,[],[f590,f670,f668,f644,f666,f664,f662,f660,f651,f658,f656,f654]) ).

fof(f672,definition,
    sF14 = c_Message_Omsg_ONonce(v_NB),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f673,plain,
    c_Message_Omsg_ONonce(v_NB) = sF14,
    inference(reorient_equations,[],[f672]) ).

fof(f674,definition,
    sF15 = c_Message_Omsg_OMPair(sF14,sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f675,plain,
    c_Message_Omsg_OMPair(sF14,sF14) = sF15,
    inference(reorient_equations,[],[f674]) ).

fof(f676,definition,
    sF16 = c_Message_Omsg_OCrypt(v_K,sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f677,plain,
    c_Message_Omsg_OCrypt(v_K,sF15) = sF16,
    inference(reorient_equations,[],[f676]) ).

fof(f678,plain,
    c_in(sF16,sF13,tc_Message_Omsg),
    inference(definition_folding,[],[f591,f670,f668,f644,f677,f675,f673,f673]) ).

fof(f679,definition,
    sF17 = c_Event_Oevent_OSays(v_A,v_B,sF16),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f680,plain,
    c_Event_Oevent_OSays(v_A,v_B,sF16) = sF17,
    inference(reorient_equations,[],[f679]) ).

fof(f681,definition,
    sF18 = c_List_Oset(v_evsf,tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f682,plain,
    c_List_Oset(v_evsf,tc_Event_Oevent) = sF18,
    inference(reorient_equations,[],[f681]) ).

fof(f683,plain,
    ~ c_in(sF17,sF18,tc_Event_Oevent),
    inference(definition_folding,[],[f592,f682,f680,f677,f675,f673,f673]) ).

fof(f684,definition,
    sF19 = c_Message_Oparts(sF1),
    introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).

fof(f685,plain,
    c_Message_Oparts(sF1) = sF19,
    inference(reorient_equations,[],[f684]) ).

fof(f686,plain,
    ( c_in(sF17,sF18,tc_Event_Oevent)
    | ~ c_in(sF16,sF19,tc_Message_Omsg)
    | ~ c_in(sF11,sF19,tc_Message_Omsg) ),
    inference(definition_folding,[],[f593,f685,f644,f666,f664,f662,f660,f651,f658,f656,f654,f685,f644,f677,f675,f673,f673,f682,f680,f677,f675,f673,f673]) ).

fof(f706,definition,
    ( spl20_4
  <=> c_in(sF11,sF19,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).

fof(f708,plain,
    ( ~ c_in(sF11,sF19,tc_Message_Omsg)
    | spl20_4 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f710,definition,
    ( spl20_5
  <=> c_in(sF16,sF19,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).

fof(f712,plain,
    ( ~ c_in(sF16,sF19,tc_Message_Omsg)
    | spl20_5 ),
    inference(avatar_component_clause,[],[f710]) ).

fof(f714,definition,
    ( spl20_6
  <=> c_in(sF17,sF18,tc_Event_Oevent) ),
    introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition]) ).

fof(f717,plain,
    ( ~ spl20_4
    | ~ spl20_5
    | spl20_6 ),
    inference(avatar_split_clause,[],[f686,f714,f710,f706]) ).

fof(f718,plain,
    ~ spl20_6,
    inference(avatar_split_clause,[],[f683,f714]) ).

fof(f746,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oparts(sF12),tc_Message_Omsg)
      | ~ c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF1)),tc_Message_Omsg)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(superposition,[],[f415,f668]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ c_in(X0,sF13,tc_Message_Omsg)
      | ~ c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(sF1)),tc_Message_Omsg)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f746,f670]) ).

fof(f748,plain,
    ! [X0] :
      ( ~ c_in(v_Xa,c_Message_Osynth(sF2),tc_Message_Omsg)
      | ~ c_in(X0,sF13,tc_Message_Omsg)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f747,f646]) ).

fof(f749,plain,
    ! [X0] :
      ( ~ c_in(v_Xa,sF3,tc_Message_Omsg)
      | ~ c_in(X0,sF13,tc_Message_Omsg)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f748,f648]) ).

fof(f750,plain,
    ! [X0] :
      ( ~ c_in(X0,sF13,tc_Message_Omsg)
      | c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f749,f649]) ).

fof(f751,plain,
    ! [X0] :
      ( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(sF1)),sF19,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X0,sF13,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f750,f685]) ).

fof(f752,plain,
    ! [X0] :
      ( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(sF2),sF19,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X0,sF13,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f751,f646]) ).

fof(f753,plain,
    ! [X0] :
      ( c_in(X0,c_Lattices_Oupper__semilattice__class_Osup(sF3,sF19,tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
      | ~ c_in(X0,sF13,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f752,f648]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),sF3,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),sF2,tc_Message_Omsg)
      | c_in(hAPP(c_Message_Omsg_OKey,X0),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f565,f648]) ).

fof(f758,plain,
    ( ~ c_in(sF11,sF3,tc_Message_Omsg)
    | c_in(sF11,sF2,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,sF5),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f756,f666]) ).

fof(f759,plain,
    ( ~ c_in(sF16,sF3,tc_Message_Omsg)
    | c_in(sF16,sF2,tc_Message_Omsg)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f756,f677]) ).

fof(f760,plain,
    ( c_in(sF4,sF2,tc_Message_Omsg)
    | ~ c_in(sF16,sF3,tc_Message_Omsg)
    | c_in(sF16,sF2,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f759,f651]) ).

fof(f762,definition,
    ( spl20_7
  <=> c_in(hAPP(c_Message_Omsg_OKey,sF5),sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_7])],[avatar_definition]) ).

fof(f764,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,sF5),sF2,tc_Message_Omsg)
    | ~ spl20_7 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f766,definition,
    ( spl20_8
  <=> c_in(sF11,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).

fof(f768,plain,
    ( c_in(sF11,sF2,tc_Message_Omsg)
    | ~ spl20_8 ),
    inference(avatar_component_clause,[],[f766]) ).

fof(f770,definition,
    ( spl20_9
  <=> c_in(sF11,sF3,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).

fof(f772,plain,
    ( ~ c_in(sF11,sF3,tc_Message_Omsg)
    | spl20_9 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f773,plain,
    ( spl20_7
    | spl20_8
    | ~ spl20_9 ),
    inference(avatar_split_clause,[],[f758,f770,f766,f762]) ).

fof(f774,plain,
    ( ~ c_in(sF16,sF3,tc_Message_Omsg)
    | c_in(sF16,sF2,tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f760,f652]) ).

fof(f776,definition,
    ( spl20_10
  <=> c_in(sF16,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).

fof(f778,plain,
    ( c_in(sF16,sF2,tc_Message_Omsg)
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f780,definition,
    ( spl20_11
  <=> c_in(sF16,sF3,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl20_11])],[avatar_definition]) ).

fof(f783,plain,
    ( spl20_10
    | ~ spl20_11 ),
    inference(avatar_split_clause,[],[f774,f780,f776]) ).

fof(f807,plain,
    ! [X0] :
      ( ~ c_in(X0,sF13,tc_Message_Omsg)
      | c_in(X0,sF19,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f266,f753]) ).

fof(f808,plain,
    ( c_in(sF11,sF19,tc_Message_Omsg)
    | c_in(sF11,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f807,f671]) ).

fof(f809,plain,
    ( c_in(sF16,sF19,tc_Message_Omsg)
    | c_in(sF16,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f807,f678]) ).

fof(f810,plain,
    ( c_in(sF16,sF3,tc_Message_Omsg)
    | spl20_5 ),
    inference(forward_subsumption_resolution,[],[f809,f712]) ).

fof(f811,plain,
    ( c_in(sF11,sF19,tc_Message_Omsg)
    | spl20_9 ),
    inference(forward_subsumption_resolution,[],[f808,f772]) ).

fof(f814,plain,
    ( spl20_4
    | spl20_9 ),
    inference(avatar_split_clause,[],[f811,f770,f706]) ).

fof(f815,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(sF1),tc_Message_Omsg) ),
    inference(superposition,[],[f583,f646]) ).

fof(f816,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,sF19,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f815,f685]) ).

fof(f1029,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,sF5),sF19,tc_Message_Omsg)
    | ~ spl20_7 ),
    inference(resolution,[],[f764,f816]) ).

fof(f1301,plain,
    ( spl20_11
    | spl20_5 ),
    inference(avatar_split_clause,[],[f810,f710,f780]) ).

fof(f1323,plain,
    ( c_in(sF16,sF19,tc_Message_Omsg)
    | ~ spl20_10 ),
    inference(resolution,[],[f778,f816]) ).

fof(f1528,plain,
    ( $false
    | spl20_5
    | ~ spl20_10 ),
    inference(forward_subsumption_resolution,[],[f1323,f712]) ).

fof(f1529,plain,
    ( spl20_5
    | ~ spl20_10 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1839,plain,
    ! [X0] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,sF5),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(superposition,[],[f499,f654]) ).

fof(f1842,plain,
    ! [X0] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,sF5),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    inference(forward_subsumption_resolution,[],[f1839,f585]) ).

fof(f1844,plain,
    ! [X0] :
      ( ~ c_in(hAPP(c_Message_Omsg_OKey,sF5),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
    inference(forward_demodulation,[],[f1842,f641]) ).

fof(f1847,plain,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,sF5),c_Message_Oparts(sF1),tc_Message_Omsg)
    | ~ c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,sF0) ),
    inference(superposition,[],[f1844,f644]) ).

fof(f1848,plain,
    ~ c_in(hAPP(c_Message_Omsg_OKey,sF5),c_Message_Oparts(sF1),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f1847,f642]) ).

fof(f1850,plain,
    ~ c_in(hAPP(c_Message_Omsg_OKey,sF5),sF19,tc_Message_Omsg),
    inference(forward_demodulation,[],[f1848,f685]) ).

fof(f1851,plain,
    ( $false
    | ~ spl20_7 ),
    inference(forward_subsumption_resolution,[],[f1850,f1029]) ).

fof(f1852,plain,
    ~ spl20_7,
    inference(avatar_contradiction_clause,[],[f1851]) ).

fof(f1857,plain,
    ( c_in(sF11,sF19,tc_Message_Omsg)
    | ~ spl20_8 ),
    inference(resolution,[],[f768,f816]) ).

fof(f1859,plain,
    ( $false
    | spl20_4
    | ~ spl20_8 ),
    inference(forward_subsumption_resolution,[],[f1857,f708]) ).

fof(f1860,plain,
    ( spl20_4
    | ~ spl20_8 ),
    inference(avatar_contradiction_clause,[],[f1859]) ).

cnf(s2,plain,
    ( ~ spl20_4
    | ~ spl20_5
    | spl20_6 ),
    inference(sat_conversion,[],[f717]) ).

cnf(s3,plain,
    ~ spl20_6,
    inference(sat_conversion,[],[f718]) ).

cnf(s4,plain,
    ( spl20_7
    | spl20_8
    | ~ spl20_9 ),
    inference(sat_conversion,[],[f773]) ).

cnf(s5,plain,
    ( spl20_10
    | ~ spl20_11 ),
    inference(sat_conversion,[],[f783]) ).

cnf(s8,plain,
    ( spl20_4
    | spl20_9 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s26,plain,
    ( spl20_5
    | spl20_11 ),
    inference(sat_conversion,[],[f1301]) ).

cnf(s43,plain,
    ( spl20_5
    | ~ spl20_10 ),
    inference(sat_conversion,[],[f1529]) ).

cnf(s53,plain,
    ~ spl20_7,
    inference(sat_conversion,[],[f1852]) ).

cnf(s54,plain,
    ( spl20_4
    | ~ spl20_8 ),
    inference(sat_conversion,[],[f1860]) ).

cnf(s60,plain,
    ( spl20_8
    | ~ spl20_9 ),
    inference(rat,[],[s4,s53]) ).

cnf(s61,plain,
    ( ~ spl20_4
    | ~ spl20_5 ),
    inference(rat,[],[s2,s3]) ).

cnf(s62,plain,
    spl20_4,
    inference(rat,[],[s60,s8,s54]) ).

cnf(s63,plain,
    ~ spl20_5,
    inference(rat,[],[s61,s62]) ).

cnf(s64,plain,
    ~ spl20_10,
    inference(rat,[],[s43,s63]) ).

cnf(s65,plain,
    spl20_11,
    inference(rat,[],[s26,s63]) ).

cnf(s66,plain,
    $false,
    inference(rat,[],[s5,s65,s64]) ).

fof(f1861,plain,
    $false,
    inference(avatar_sat_refutation,[],[s66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV800-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  % Computer : n017.cluster.edu
% 0.08/0.22  % Model    : x86_64 x86_64
% 0.08/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22  % Memory   : 8046.5625MB
% 0.08/0.22  % OS       : Linux 6.8.0-71-generic
% 0.08/0.22  % CPULimit : 300
% 0.08/0.22  % WCLimit  : 300
% 0.08/0.22  % DateTime : Mon Sep 28 12:30:51 UTC 2026
% 0.08/0.23  % CPUTime  : 
% 0.08/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.28  Running first-order theorem proving
% 0.08/0.28  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
% 10.84/2.53  % (3511383)Input is clausal, will run a generic CNF schedule.
% 10.84/2.53  % (3511408)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2509177617:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.84/2.53  % (3511414)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1145744962:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.84/2.53  % (3511407)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=121416164:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.84/2.53  % (3511409)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=540665297:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.84/2.53  % (3511410)lrs+10_1_sil=8000:sp=occurrence:random_seed=1499606005:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.84/2.53  % (3511415)dis-21_1_sil=8000:lcm=predicate:random_seed=1170476709: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)
% 10.84/2.53  % (3511413)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1421832704:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.84/2.53  % (3511414)Instruction limit reached! 
% 10.84/2.53  % (3511414)------------------------------
% 10.84/2.53  % (3511414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.53  % (3511414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.53  % (3511414)CaDiCaL version: 2.1.3
% 10.84/2.53  % (3511414)Termination reason: Instruction limit
% 10.84/2.53  % (3511414)Termination phase: Saturation
% 10.84/2.53  % (3511414)Time elapsed: 0.103 s
% 10.84/2.53  % (3511414)Peak memory usage: 89 MB
% 10.84/2.53  % (3511414)Instructions burned: 180 (million)
% 10.84/2.53  % (3511410)Instruction limit reached! 
% 10.84/2.53  % (3511410)------------------------------
% 10.84/2.53  % (3511410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.53  % (3511410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.53  % (3511410)CaDiCaL version: 2.1.3
% 10.84/2.53  % (3511410)Termination reason: Instruction limit
% 10.84/2.53  % (3511410)Termination phase: Saturation
% 10.84/2.53  % (3511410)Time elapsed: 0.116 s
% 10.84/2.53  % (3511410)Peak memory usage: 89 MB
% 10.84/2.53  % (3511410)Instructions burned: 107 (million)
% 10.84/2.53  % (3511415)Instruction limit reached! 
% 10.84/2.53  % (3511415)------------------------------
% 10.84/2.53  % (3511415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.53  % (3511415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.53  % (3511415)CaDiCaL version: 2.1.3
% 10.84/2.53  % (3511415)Termination reason: Instruction limit
% 10.84/2.53  % (3511415)Termination phase: Saturation
% 10.84/2.53  % (3511415)Time elapsed: 0.102 s
% 10.84/2.53  % (3511415)Peak memory usage: 89 MB
% 10.84/2.53  % (3511415)Instructions burned: 118 (million)
% 10.84/2.53  % (3511413)Instruction limit reached! 
% 10.84/2.53  % (3511413)------------------------------
% 10.84/2.53  % (3511413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.53  % (3511413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.53  % (3511413)CaDiCaL version: 2.1.3
% 10.84/2.53  % (3511413)Termination reason: Instruction limit
% 10.84/2.53  % (3511413)Termination phase: Saturation
% 10.84/2.53  % (3511413)Time elapsed: 0.115 s
% 10.84/2.53  % (3511413)Peak memory usage: 89 MB
% 10.84/2.53  % (3511413)Instructions burned: 114 (million)
% 10.84/2.53  % (3511426)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=3007834777:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.84/2.53  % (3511426)Refutation not found, incomplete strategy
% 10.84/2.53  % (3511426)------------------------------
% 10.84/2.53  % (3511426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.53  % (3511426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.53  % (3511426)CaDiCaL version: 2.1.3
% 10.84/2.53  % (3511426)Termination reason: Refutation not found, incomplete strategy
% 10.84/2.53  % (3511426)Time elapsed: 0.015 s
% 10.84/2.53  % (3511426)Peak memory usage: 89 MB
% 10.84/2.53  % (3511426)Instructions burned: 22 (million)
% 10.84/2.53  % (3511428)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2042904992:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.68/2.65  % (3511427)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=901551348:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.68/2.65  % (3511430)lrs+10_64_to=lpo:sil=8000:random_seed=1400114838:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.68/2.65  % (3511428)Instruction limit reached! 
% 11.68/2.65  % (3511428)------------------------------
% 11.68/2.65  % (3511428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511428)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511428)Termination reason: Instruction limit
% 11.68/2.65  % (3511428)Termination phase: Saturation
% 11.68/2.65  % (3511428)Time elapsed: 0.120 s
% 11.68/2.65  % (3511428)Peak memory usage: 90 MB
% 11.68/2.65  % (3511428)Instructions burned: 220 (million)
% 11.68/2.65  % (3511427)Instruction limit reached! 
% 11.68/2.65  % (3511427)------------------------------
% 11.68/2.65  % (3511427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511427)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511427)Termination reason: Instruction limit
% 11.68/2.65  % (3511427)Termination phase: Saturation
% 11.68/2.65  % (3511427)Time elapsed: 0.152 s
% 11.68/2.65  % (3511427)Peak memory usage: 91 MB
% 11.68/2.65  % (3511427)Instructions burned: 190 (million)
% 11.68/2.65  % (3511430)Instruction limit reached! 
% 11.68/2.65  % (3511430)------------------------------
% 11.68/2.65  % (3511430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511430)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511430)Termination reason: Instruction limit
% 11.68/2.65  % (3511430)Termination phase: Saturation
% 11.68/2.65  % (3511430)Time elapsed: 0.121 s
% 11.68/2.65  % (3511430)Peak memory usage: 90 MB
% 11.68/2.65  % (3511430)Instructions burned: 127 (million)
% 11.68/2.65  % (3511437)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4283520693:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 11.68/2.65  % (3511426)------------------------------
% 11.68/2.65  % (3511426)------------------------------
% 11.68/2.65  % (3511437)Instruction limit reached! 
% 11.68/2.65  % (3511437)------------------------------
% 11.68/2.65  % (3511437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511437)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511437)Termination reason: Instruction limit
% 11.68/2.65  % (3511437)Termination phase: Saturation
% 11.68/2.65  % (3511437)Time elapsed: 0.105 s
% 11.68/2.65  % (3511437)Peak memory usage: 90 MB
% 11.68/2.65  % (3511437)Instructions burned: 194 (million)
% 11.68/2.65  % (3511438)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2275511007:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 11.68/2.65  % (3511439)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4237893934:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 11.68/2.65  % (3511442)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=1963621933:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 11.68/2.65  % (3511443)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4075712374:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 11.68/2.65  % (3511438)Instruction limit reached! 
% 11.68/2.65  % (3511438)------------------------------
% 11.68/2.65  % (3511438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511438)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511438)Termination reason: Instruction limit
% 11.68/2.65  % (3511438)Termination phase: Saturation
% 11.68/2.65  % (3511438)Time elapsed: 0.142 s
% 11.68/2.65  % (3511438)Peak memory usage: 90 MB
% 11.68/2.65  % (3511438)Instructions burned: 158 (million)
% 11.68/2.65  % (3511442)Instruction limit reached! 
% 11.68/2.65  % (3511442)------------------------------
% 11.68/2.65  % (3511442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511442)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511442)Termination reason: Instruction limit
% 11.68/2.65  % (3511442)Termination phase: Saturation
% 11.68/2.65  % (3511442)Time elapsed: 0.074 s
% 11.68/2.65  % (3511442)Peak memory usage: 89 MB
% 11.68/2.65  % (3511442)Instructions burned: 108 (million)
% 11.68/2.65  % (3511443)Instruction limit reached! 
% 11.68/2.65  % (3511443)------------------------------
% 11.68/2.65  % (3511443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511443)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511443)Termination reason: Instruction limit
% 11.68/2.65  % (3511443)Termination phase: Saturation
% 11.68/2.65  % (3511443)Time elapsed: 0.040 s
% 11.68/2.65  % (3511443)Peak memory usage: 89 MB
% 11.68/2.65  % (3511443)Instructions burned: 109 (million)
% 11.68/2.65  % (3511451)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=65893097:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 11.68/2.65  % (3511449)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=132389789:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 11.68/2.65  % (3511450)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1207429472:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 11.68/2.65  % (3511451)Instruction limit reached! 
% 11.68/2.65  % (3511451)------------------------------
% 11.68/2.65  % (3511451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511451)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511451)Termination reason: Instruction limit
% 11.68/2.65  % (3511451)Termination phase: Saturation
% 11.68/2.65  % (3511451)Time elapsed: 0.033 s
% 11.68/2.65  % (3511451)Peak memory usage: 89 MB
% 11.68/2.65  % (3511451)Instructions burned: 135 (million)
% 11.68/2.65  % (3511455)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3850206302:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 11.68/2.65  % (3511449)Instruction limit reached! 
% 11.68/2.65  % (3511449)------------------------------
% 11.68/2.65  % (3511449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511449)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511449)Termination reason: Instruction limit
% 11.68/2.65  % (3511449)Termination phase: Saturation
% 11.68/2.65  % (3511449)Time elapsed: 0.152 s
% 11.68/2.65  % (3511449)Peak memory usage: 90 MB
% 11.68/2.65  % (3511449)Instructions burned: 242 (million)
% 11.68/2.65  % (3511407)First to succeed.
% 11.68/2.65  % (3511407)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3511383"
% 11.68/2.65  % (3511455)Instruction limit reached! 
% 11.68/2.65  % (3511455)------------------------------
% 11.68/2.65  % (3511455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511455)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511455)Termination reason: Instruction limit
% 11.68/2.65  % (3511455)Termination phase: Saturation
% 11.68/2.65  % (3511455)Time elapsed: 0.169 s
% 11.68/2.65  % (3511455)Peak memory usage: 96 MB
% 11.68/2.65  % (3511455)Instructions burned: 500 (million)
% 11.68/2.65  % (3511458)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1499032822:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 11.68/2.65  % (3511476)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2895932779:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 11.68/2.65  % (3511458)Instruction limit reached! 
% 11.68/2.65  % (3511458)------------------------------
% 11.68/2.65  % (3511458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511458)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511458)Termination reason: Instruction limit
% 11.68/2.65  % (3511458)Termination phase: Saturation
% 11.68/2.65  % (3511458)Time elapsed: 0.133 s
% 11.68/2.65  % (3511458)Peak memory usage: 92 MB
% 11.68/2.65  % (3511458)Instructions burned: 191 (million)
% 11.68/2.65  % (3511476)Instruction limit reached! 
% 11.68/2.65  % (3511476)------------------------------
% 11.68/2.65  % (3511476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.68/2.65  % (3511476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.68/2.65  % (3511476)CaDiCaL version: 2.1.3
% 11.68/2.65  % (3511476)Termination reason: Instruction limit
% 11.68/2.65  % (3511476)Termination phase: Saturation
% 11.68/2.65  % (3511476)Time elapsed: 0.092 s
% 11.68/2.65  % (3511476)Peak memory usage: 91 MB
% 11.68/2.65  % (3511476)Instructions burned: 266 (million)
% 11.68/2.65  % (3511407)Refutation found. Thanks to Tanya!
% 11.68/2.65  % SZS status Unsatisfiable for theBenchmark
% 11.68/2.65  % SZS output start Proof for theBenchmark
% See solution above
% 12.87/2.85  % (3511407)------------------------------
% 12.87/2.85  % (3511407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.87/2.85  % (3511407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.85  % (3511407)CaDiCaL version: 2.1.3
% 12.87/2.85  % (3511407)Termination reason: Refutation
% 12.87/2.85  % (3511407)Time elapsed: 1.235 s
% 12.87/2.85  % (3511407)Peak memory usage: 137 MB
% 12.87/2.85  % (3511407)Instructions burned: 1398 (million)
% 12.87/2.85  % (3511407)------------------------------
% 12.87/2.85  % (3511407)------------------------------
% 12.87/2.85  % (3511383)Success in time 1.727 s
% 12.87/2.85  % Vampire exiting
%------------------------------------------------------------------------------