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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV745-1 : 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 : n020.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 01:19:24 PM UTC 2026

% Result   : Unsatisfiable 3.64s 1.15s
% Output   : Refutation 3.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   52 (  23 unt;   5 def)
%            Number of atoms       :   92 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   82 (  42   ~;  35   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  15 con; 0-3 aty)
%            Number of variables   :   38 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f185,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).

fof(f370,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(c_Set_Oinsert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg))
      | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oanalz(X1),tc_Message_Omsg))
      | ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))
      | ~ hBOOL(c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).

fof(f384,axiom,
    ! [X2,X3,X0,X1] : c_Event_Oknows(X0,c_List_Olist_OCons(c_Event_Oevent_OSays(X0,X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X0,X3),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).

fof(f413,axiom,
    ! [X2,X0,X1] : c_List_Oset(c_List_Olist_OCons(X0,X1,X2),X2) = c_Set_Oinsert(X0,c_List_Oset(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).

fof(f445,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(c_in(X0,c_Set_Oinsert(X3,X1,X2),X2))
      | X0 = X3
      | hBOOL(c_in(X0,X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).

fof(f447,axiom,
    ! [X2,X3,X0,X1] :
      ( hBOOL(c_in(X0,c_Set_Oinsert(X1,X2,X3),X3))
      | ~ hBOOL(c_in(X0,X2,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).

fof(f513,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(X3,X4,X5)
      | X0 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).

fof(f532,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).

fof(f533,plain,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    inference(reorient_equations,[],[f532]) ).

fof(f593,negated_conjecture,
    hBOOL(c_in(v_X,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(f594,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f595,negated_conjecture,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f596,negated_conjecture,
    hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f597,negated_conjecture,
    ( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f632,definition,
    ( spl0_1
  <=> hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f633,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f635,definition,
    ( spl0_2
  <=> hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f636,plain,
    ( hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_x,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,definition,
    ( spl0_3
  <=> hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f640,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f597,f638,f635,f632]) ).

fof(f641,plain,
    hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
    inference(forward_demodulation,[],[f596,f384]) ).

fof(f642,plain,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(forward_demodulation,[],[f595,f413]) ).

fof(f643,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(forward_demodulation,[],[f594,f413]) ).

fof(f656,plain,
    ! [X0] :
      ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))
      | ~ hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)) ),
    inference(resolution,[],[f641,f370]) ).

fof(f680,definition,
    ( spl0_9
  <=> ! [X0] :
        ( ~ c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f681,plain,
    ( ! [X0] :
        ( ~ c_lessequals(X0,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool))
        | ~ hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f680]) ).

fof(f682,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f656,f638,f680]) ).

fof(f688,plain,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
    inference(resolution,[],[f642,f447]) ).

fof(f694,definition,
    ( spl0_11
  <=> ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f695,plain,
    ( ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f688,f694]) ).

fof(f724,plain,
    ( c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)
    | hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(resolution,[],[f643,f445]) ).

fof(f727,plain,
    ( c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))) = c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f724,f633]) ).

fof(f740,plain,
    ( ~ hBOOL(c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ spl0_9 ),
    inference(resolution,[],[f681,f185]) ).

fof(f749,plain,
    ( $false
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f740,f593]) ).

fof(f750,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f749]) ).

fof(f848,plain,
    ( ! [X2,X0,X1] :
        ( c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_X)
        | c_Message_Oagent_OServer = X0 )
    | spl0_1 ),
    inference(superposition,[],[f513,f727]) ).

fof(f868,plain,
    ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer
    | spl0_1 ),
    inference(equality_resolution,[],[f848]) ).

fof(f869,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f868,f533]) ).

fof(f870,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f869]) ).

fof(f871,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f636,f695]) ).

fof(f872,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f871]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f640]) ).

cnf(s7,plain,
    ( spl0_3
    | spl0_9 ),
    inference(sat_conversion,[],[f682]) ).

cnf(s9,plain,
    spl0_11,
    inference(sat_conversion,[],[f697]) ).

cnf(s15,plain,
    ~ spl0_9,
    inference(sat_conversion,[],[f750]) ).

cnf(s25,plain,
    spl0_1,
    inference(sat_conversion,[],[f870]) ).

cnf(s26,plain,
    ( ~ spl0_2
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f872]) ).

cnf(s28,plain,
    ~ spl0_2,
    inference(rat,[],[s26,s9]) ).

cnf(s29,plain,
    spl0_3,
    inference(rat,[],[s7,s15]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s1,s29,s28,s25]) ).

fof(f878,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV745-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.17  % Computer : n020.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 12:26:19 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.20  Running first-order theorem proving
% 0.06/0.20  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
% 3.64/1.15  % (132669)Input is clausal, will run a generic CNF schedule.
% 3.64/1.15  % (132678)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=508278612:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.15  % (132680)dis-21_1_sil=8000:lcm=predicate:random_seed=352908192: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)
% 3.64/1.15  % (132676)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4053032217:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.15  % (132677)lrs+10_1_sil=8000:sp=occurrence:random_seed=2673308915:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.15  % (132674)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=255270310:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.15  % (132679)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3988786326:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.15  % (132675)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1046640431:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.15  % (132678)Instruction limit reached! 
% 3.64/1.15  % (132678)------------------------------
% 3.64/1.15  % (132678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.15  % (132678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.15  % (132678)CaDiCaL version: 2.1.3
% 3.64/1.15  % (132678)Termination reason: Instruction limit
% 3.64/1.15  % (132678)Termination phase: Saturation
% 3.64/1.15  % (132678)Time elapsed: 0.044 s
% 3.64/1.15  % (132678)Peak memory usage: 89 MB
% 3.64/1.15  % (132678)Instructions burned: 115 (million)
% 3.64/1.15  % (132677)Instruction limit reached! 
% 3.64/1.15  % (132677)------------------------------
% 3.64/1.15  % (132677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.15  % (132677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.15  % (132677)CaDiCaL version: 2.1.3
% 3.64/1.15  % (132677)Termination reason: Instruction limit
% 3.64/1.15  % (132677)Termination phase: Saturation
% 3.64/1.15  % (132677)Time elapsed: 0.072 s
% 3.64/1.15  % (132677)Peak memory usage: 89 MB
% 3.64/1.15  % (132677)Instructions burned: 108 (million)
% 3.64/1.15  % (132680)Instruction limit reached! 
% 3.64/1.15  % (132680)------------------------------
% 3.64/1.15  % (132680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.15  % (132680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.15  % (132680)CaDiCaL version: 2.1.3
% 3.64/1.15  % (132680)Termination reason: Instruction limit
% 3.64/1.15  % (132680)Termination phase: Saturation
% 3.64/1.15  % (132680)Time elapsed: 0.072 s
% 3.64/1.15  % (132680)Peak memory usage: 89 MB
% 3.64/1.15  % (132680)Instructions burned: 118 (million)
% 3.64/1.15  % (132679)Instruction limit reached! 
% 3.64/1.15  % (132679)------------------------------
% 3.64/1.15  % (132679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.15  % (132679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.15  % (132679)CaDiCaL version: 2.1.3
% 3.64/1.15  % (132679)Termination reason: Instruction limit
% 3.64/1.15  % (132679)Termination phase: Saturation
% 3.64/1.15  % (132679)Time elapsed: 0.112 s
% 3.64/1.15  % (132679)Peak memory usage: 90 MB
% 3.64/1.15  % (132679)Instructions burned: 180 (million)
% 3.64/1.15  % (132688)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=1877483800:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.64/1.15  % (132688)First to succeed.
% 3.64/1.15  % (132688)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-132669"
% 3.64/1.15  % (132690)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=264267418:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.64/1.15  % (132689)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1290582111: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)
% 3.64/1.15  % (132691)lrs+10_64_to=lpo:sil=8000:random_seed=2545499977:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.64/1.15  % (132688)Refutation found. Thanks to Tanya!
% 3.64/1.15  % SZS status Unsatisfiable for theBenchmark
% 3.64/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 3.96/1.35  % (132688)------------------------------
% 3.96/1.35  % (132688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.96/1.35  % (132688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.96/1.35  % (132688)CaDiCaL version: 2.1.3
% 3.96/1.35  % (132688)Termination reason: Refutation
% 3.96/1.35  % (132688)Time elapsed: 0.017 s
% 3.96/1.35  % (132688)Peak memory usage: 90 MB
% 3.96/1.35  % (132688)Instructions burned: 49 (million)
% 3.96/1.35  % (132688)------------------------------
% 3.96/1.35  % (132688)------------------------------
% 3.96/1.35  % (132669)Success in time 0.493 s
% 3.96/1.35  % Vampire exiting
%------------------------------------------------------------------------------