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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV316-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 01:08:48 PM UTC 2026

% Result   : Unsatisfiable 68.85s 15.71s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   96
% Syntax   : Number of formulae    :  392 ( 111 unt;  51 def)
%            Number of atoms       :  813 ( 126 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  744 ( 323   ~; 393   |;   0   &)
%                                         (  28 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    9 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  29 prp; 0-3 aty)
%            Number of functors    :   57 (  57 usr;  37 con; 0-3 aty)
%            Number of variables   :  250 (   0 sgn 250   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X3,tc_set(X2))
      | ~ c_in(X0,X1,X2)
      | c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

fof(f127,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f128,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f131,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f3181,axiom,
    ! [X0,X1] : c_union(X0,X0,X1) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).

fof(f3190,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_union(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

fof(f3191,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X1,X3,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f3194,axiom,
    ! [X2,X3,X0,X1] : c_union(X0,c_insert(X1,X2,X3),X3) = c_insert(X1,c_union(X0,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__right_0) ).

fof(f3234,axiom,
    ! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oempty__iff_0) ).

fof(f3251,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_insert(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_0) ).

fof(f3252,axiom,
    ! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).

fof(f3253,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_insert(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_2) ).

fof(f3257,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
      | c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_0) ).

fof(f3258,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
      | c_lessequals(X1,X3,tc_set(X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Oinsert__subset_1) ).

fof(f3310,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f3311,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f3366,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f3367,axiom,
    ! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).

fof(f3369,axiom,
    c_Message_Oparts(c_emptyset) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__empty_0) ).

fof(f3370,plain,
    c_emptyset = c_Message_Oparts(c_emptyset),
    inference(reorient_equations,[],[f3369]) ).

fof(f3410,axiom,
    ! [X0,X1] : c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OAgent__synth_0) ).

fof(f3442,axiom,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth__eq_0) ).

fof(f3465,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

fof(f3488,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__cut__eq_0) ).

fof(f3489,plain,
    ! [X0,X1] :
      ( c_Message_Oparts(X1) = c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg))
      | ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(reorient_equations,[],[f3488]) ).

fof(f3492,axiom,
    ! [X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Agent_0) ).

fof(f3493,axiom,
    ! [X2,X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Crypt_0) ).

fof(f3496,axiom,
    ! [X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Key_0) ).

fof(f3497,axiom,
    ! [X2,X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__MPair_0) ).

fof(f3498,axiom,
    ! [X0,X1] : c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert__Nonce_0) ).

fof(f3501,axiom,
    ! [X0,X1] :
      ( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).

fof(f3502,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_1) ).

fof(f3512,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)
      | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_0) ).

fof(f3513,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Event_Oused(X2),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OMPair__used_1) ).

fof(f3517,axiom,
    ! [X0,X1] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

fof(f3551,axiom,
    ! [X0,X1] : c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Event_Oused(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OshrK__in__used_0) ).

fof(f3558,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f3559,axiom,
    ! [X2,X0,X1] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f3560,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f3561,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f3562,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OOR2__parts__knows__Spy__dest_0) ).

fof(f3563,negated_conjecture,
    c_in(v_evs2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f3564,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3565,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),v_X)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f3566,negated_conjecture,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f3568,negated_conjecture,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f3569,negated_conjecture,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_insert(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f3823,definition,
    sF0 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f3824,plain,
    tc_List_Olist(tc_Event_Oevent) = sF0,
    inference(reorient_equations,[],[f3823]) ).

fof(f3825,plain,
    c_in(v_evs2,c_OtwayRees_Ootway,sF0),
    inference(definition_folding,[],[f3563,f3824]) ).

fof(f3826,definition,
    sF1 = c_Message_Omsg_ONonce(v_NB),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f3827,plain,
    c_Message_Omsg_ONonce(v_NB) = sF1,
    inference(reorient_equations,[],[f3826]) ).

fof(f3828,definition,
    sF2 = c_Event_Oused(v_evs2),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f3829,plain,
    c_Event_Oused(v_evs2) = sF2,
    inference(reorient_equations,[],[f3828]) ).

fof(f3830,plain,
    ~ c_in(sF1,sF2,tc_Message_Omsg),
    inference(definition_folding,[],[f3564,f3829,f3827]) ).

fof(f3831,definition,
    sF3 = c_Message_Omsg_ONonce(v_NA),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f3832,plain,
    c_Message_Omsg_ONonce(v_NA) = sF3,
    inference(reorient_equations,[],[f3831]) ).

fof(f3833,definition,
    sF4 = c_Message_Omsg_OAgent(v_Aa),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f3834,plain,
    c_Message_Omsg_OAgent(v_Aa) = sF4,
    inference(reorient_equations,[],[f3833]) ).

fof(f3835,definition,
    sF5 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f3836,plain,
    c_Message_Omsg_OAgent(v_B) = sF5,
    inference(reorient_equations,[],[f3835]) ).

fof(f3837,definition,
    sF6 = c_Message_Omsg_OMPair(sF5,v_X),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f3838,plain,
    c_Message_Omsg_OMPair(sF5,v_X) = sF6,
    inference(reorient_equations,[],[f3837]) ).

fof(f3839,definition,
    sF7 = c_Message_Omsg_OMPair(sF4,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f3840,plain,
    c_Message_Omsg_OMPair(sF4,sF6) = sF7,
    inference(reorient_equations,[],[f3839]) ).

fof(f3841,definition,
    sF8 = c_Message_Omsg_OMPair(sF3,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f3842,plain,
    c_Message_Omsg_OMPair(sF3,sF7) = sF8,
    inference(reorient_equations,[],[f3841]) ).

fof(f3843,definition,
    sF9 = c_Event_Oevent_OGets(v_B,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f3844,plain,
    c_Event_Oevent_OGets(v_B,sF8) = sF9,
    inference(reorient_equations,[],[f3843]) ).

fof(f3845,definition,
    sF10 = c_List_Oset(v_evs2,tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f3846,plain,
    c_List_Oset(v_evs2,tc_Event_Oevent) = sF10,
    inference(reorient_equations,[],[f3845]) ).

fof(f3847,plain,
    c_in(sF9,sF10,tc_Event_Oevent),
    inference(definition_folding,[],[f3565,f3846,f3844,f3842,f3840,f3838,f3836,f3834,f3832]) ).

fof(f3848,definition,
    sF11 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f3849,plain,
    c_Public_OshrK(v_A) = sF11,
    inference(reorient_equations,[],[f3848]) ).

fof(f3850,definition,
    sF12 = c_Message_Omsg_OKey(sF11),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f3851,plain,
    c_Message_Omsg_OKey(sF11) = sF12,
    inference(reorient_equations,[],[f3850]) ).

fof(f3852,definition,
    sF13 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f3853,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2) = sF13,
    inference(reorient_equations,[],[f3852]) ).

fof(f3854,definition,
    sF14 = c_Message_Oparts(sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f3855,plain,
    c_Message_Oparts(sF13) = sF14,
    inference(reorient_equations,[],[f3854]) ).

fof(f3856,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(sF12,sF14,tc_Message_Omsg) ),
    inference(definition_folding,[],[f3566,f3855,f3853,f3851,f3849]) ).

fof(f3858,definition,
    sF15 = c_Public_OshrK(v_B),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f3859,plain,
    c_Public_OshrK(v_B) = sF15,
    inference(reorient_equations,[],[f3858]) ).

fof(f3860,definition,
    sF16 = c_Message_Omsg_OMPair(sF4,sF5),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f3861,plain,
    c_Message_Omsg_OMPair(sF4,sF5) = sF16,
    inference(reorient_equations,[],[f3860]) ).

fof(f3862,definition,
    sF17 = c_Message_Omsg_OMPair(sF1,sF16),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f3863,plain,
    c_Message_Omsg_OMPair(sF1,sF16) = sF17,
    inference(reorient_equations,[],[f3862]) ).

fof(f3864,definition,
    sF18 = c_Message_Omsg_OMPair(sF3,sF17),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f3865,plain,
    c_Message_Omsg_OMPair(sF3,sF17) = sF18,
    inference(reorient_equations,[],[f3864]) ).

fof(f3866,definition,
    sF19 = c_Message_Omsg_OCrypt(sF15,sF18),
    introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).

fof(f3867,plain,
    c_Message_Omsg_OCrypt(sF15,sF18) = sF19,
    inference(reorient_equations,[],[f3866]) ).

fof(f3868,definition,
    sF20 = c_insert(sF19,sF13,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).

fof(f3869,plain,
    c_insert(sF19,sF13,tc_Message_Omsg) = sF20,
    inference(reorient_equations,[],[f3868]) ).

fof(f3870,definition,
    sF21 = c_insert(v_X,sF20,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).

fof(f3871,plain,
    c_insert(v_X,sF20,tc_Message_Omsg) = sF21,
    inference(reorient_equations,[],[f3870]) ).

fof(f3872,definition,
    sF22 = c_Message_Oparts(sF21),
    introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).

fof(f3873,plain,
    c_Message_Oparts(sF21) = sF22,
    inference(reorient_equations,[],[f3872]) ).

fof(f3874,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(sF12,sF22,tc_Message_Omsg) ),
    inference(definition_folding,[],[f3568,f3873,f3871,f3869,f3853,f3867,f3865,f3863,f3861,f3836,f3834,f3827,f3832,f3859,f3851,f3849]) ).

fof(f3875,plain,
    ( c_in(sF12,sF22,tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(definition_folding,[],[f3569,f3873,f3871,f3869,f3853,f3867,f3865,f3863,f3861,f3836,f3834,f3827,f3832,f3859,f3851,f3849]) ).

fof(f3878,definition,
    ( spl23_1
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).

fof(f3880,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl23_1 ),
    inference(avatar_component_clause,[],[f3878]) ).

fof(f3882,definition,
    ( spl23_2
  <=> c_in(sF12,sF22,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).

fof(f3883,plain,
    ( ~ c_in(sF12,sF22,tc_Message_Omsg)
    | spl23_2 ),
    inference(avatar_component_clause,[],[f3882]) ).

fof(f3884,plain,
    ( c_in(sF12,sF22,tc_Message_Omsg)
    | ~ spl23_2 ),
    inference(avatar_component_clause,[],[f3882]) ).

fof(f3885,plain,
    ( spl23_1
    | spl23_2 ),
    inference(avatar_split_clause,[],[f3875,f3882,f3878]) ).

fof(f3886,plain,
    ( ~ spl23_2
    | ~ spl23_1 ),
    inference(avatar_split_clause,[],[f3874,f3878,f3882]) ).

fof(f3888,definition,
    ( spl23_3
  <=> c_in(sF12,sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).

fof(f3889,plain,
    ( ~ c_in(sF12,sF14,tc_Message_Omsg)
    | spl23_3 ),
    inference(avatar_component_clause,[],[f3888]) ).

fof(f3892,plain,
    ( ~ spl23_3
    | spl23_1 ),
    inference(avatar_split_clause,[],[f3856,f3878,f3888]) ).

fof(f4037,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,sF0) ),
    inference(backward_demodulation,[],[f3561,f3824]) ).

fof(f4038,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,sF0)
      | c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
    inference(backward_demodulation,[],[f3562,f3824]) ).

fof(f4039,plain,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),sF2,tc_Message_Omsg),
    inference(backward_demodulation,[],[f3830,f3827]) ).

fof(f4040,plain,
    sF7 = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),sF6),
    inference(forward_demodulation,[],[f3840,f3834]) ).

fof(f4041,plain,
    sF8 = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),sF7),
    inference(forward_demodulation,[],[f3842,f3832]) ).

fof(f4042,plain,
    sF16 = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),sF5),
    inference(forward_demodulation,[],[f3861,f3834]) ).

fof(f4043,plain,
    sF17 = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),sF16),
    inference(forward_demodulation,[],[f3863,f3827]) ).

fof(f4044,plain,
    sF18 = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),sF17),
    inference(forward_demodulation,[],[f3865,f3832]) ).

fof(f4097,plain,
    ! [X0] : c_in(c_Message_Omsg_OKey(sF11),c_Event_Oused(X0),tc_Message_Omsg),
    inference(superposition,[],[f3551,f3849]) ).

fof(f4098,plain,
    ! [X0] : c_in(sF12,c_Event_Oused(X0),tc_Message_Omsg),
    inference(forward_demodulation,[],[f4097,f3851]) ).

fof(f4100,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(sF5,X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X3,c_OtwayRees_Ootway,sF0)
      | c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    inference(superposition,[],[f4038,f3836]) ).

fof(f4108,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),sF6))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,sF0)
      | c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(superposition,[],[f4100,f3838]) ).

fof(f4116,definition,
    ( spl23_6
  <=> c_in(v_X,sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).

fof(f4117,plain,
    ( ~ c_in(v_X,sF14,tc_Message_Omsg)
    | spl23_6 ),
    inference(avatar_component_clause,[],[f4116]) ).

fof(f4118,plain,
    ( c_in(v_X,sF14,tc_Message_Omsg)
    | ~ spl23_6 ),
    inference(avatar_component_clause,[],[f4116]) ).

fof(f4128,definition,
    ( spl23_8
  <=> c_in(sF6,sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).

fof(f4129,plain,
    ( ~ c_in(sF6,sF14,tc_Message_Omsg)
    | spl23_8 ),
    inference(avatar_component_clause,[],[f4128]) ).

fof(f4130,plain,
    ( c_in(sF6,sF14,tc_Message_Omsg)
    | ~ spl23_8 ),
    inference(avatar_component_clause,[],[f4128]) ).

fof(f4136,definition,
    ( spl23_10
  <=> c_in(sF5,sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).

fof(f4137,plain,
    ( ~ c_in(sF5,sF14,tc_Message_Omsg)
    | spl23_10 ),
    inference(avatar_component_clause,[],[f4136]) ).

fof(f4138,plain,
    ( c_in(sF5,sF14,tc_Message_Omsg)
    | ~ spl23_10 ),
    inference(avatar_component_clause,[],[f4136]) ).

fof(f4146,plain,
    c_in(sF12,sF2,tc_Message_Omsg),
    inference(superposition,[],[f4098,f3829]) ).

fof(f4156,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oanalz(sF13),tc_Message_Omsg)
      | c_in(X0,sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f3465,f3855]) ).

fof(f4163,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF13,tc_Message_Omsg)
      | ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f3517,f3853]) ).

fof(f4180,plain,
    ! [X0] :
      ( c_in(X0,sF21,tc_Message_Omsg)
      | ~ c_in(X0,sF20,tc_Message_Omsg) ),
    inference(superposition,[],[f3253,f3871]) ).

fof(f4188,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF18,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f3311,f4044]) ).

fof(f4189,plain,
    ! [X0] :
      ( c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF16,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f3311,f4042]) ).

fof(f4191,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),sF14,tc_Message_Omsg)
      | c_in(X0,sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f3311,f3855]) ).

fof(f4247,plain,
    ( ~ c_in(sF8,sF14,tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_NA),sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f4191,f4041]) ).

fof(f4250,plain,
    ( ~ c_in(sF7,sF14,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OAgent(v_Aa),sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f4191,f4040]) ).

fof(f4252,definition,
    ( spl23_24
  <=> c_in(c_Message_Omsg_OAgent(v_Aa),sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_24])],[avatar_definition]) ).

fof(f4256,definition,
    ( spl23_25
  <=> c_in(sF7,sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_25])],[avatar_definition]) ).

fof(f4257,plain,
    ( c_in(sF7,sF14,tc_Message_Omsg)
    | ~ spl23_25 ),
    inference(avatar_component_clause,[],[f4256]) ).

fof(f4258,plain,
    ( ~ c_in(sF7,sF14,tc_Message_Omsg)
    | spl23_25 ),
    inference(avatar_component_clause,[],[f4256]) ).

fof(f4259,plain,
    ( spl23_24
    | ~ spl23_25 ),
    inference(avatar_split_clause,[],[f4250,f4256,f4252]) ).

fof(f4266,definition,
    ( spl23_27
  <=> c_in(c_Message_Omsg_ONonce(v_NA),sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).

fof(f4268,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NA),sF14,tc_Message_Omsg)
    | ~ spl23_27 ),
    inference(avatar_component_clause,[],[f4266]) ).

fof(f4275,definition,
    ( spl23_29
  <=> c_in(sF8,sF14,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_29])],[avatar_definition]) ).

fof(f4276,plain,
    ( c_in(sF8,sF14,tc_Message_Omsg)
    | ~ spl23_29 ),
    inference(avatar_component_clause,[],[f4275]) ).

fof(f4277,plain,
    ( ~ c_in(sF8,sF14,tc_Message_Omsg)
    | spl23_29 ),
    inference(avatar_component_clause,[],[f4275]) ).

fof(f4278,plain,
    ( spl23_27
    | ~ spl23_29 ),
    inference(avatar_split_clause,[],[f4247,f4275,f4266]) ).

fof(f4292,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),sF14,tc_Message_Omsg)
      | c_in(X1,sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f3310,f3855]) ).

fof(f4302,plain,
    ( ~ c_in(sF8,sF14,tc_Message_Omsg)
    | c_in(sF7,sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f4292,f4041]) ).

fof(f4312,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),sF2,tc_Message_Omsg)
      | c_in(X1,sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f3512,f3829]) ).

fof(f4318,plain,
    ( ~ c_in(sF18,sF2,tc_Message_Omsg)
    | c_in(sF17,sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f4312,f4044]) ).

fof(f4340,definition,
    ( spl23_34
  <=> c_in(sF17,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_34])],[avatar_definition]) ).

fof(f4341,plain,
    ( ~ c_in(sF17,sF2,tc_Message_Omsg)
    | spl23_34 ),
    inference(avatar_component_clause,[],[f4340]) ).

fof(f4342,plain,
    ( c_in(sF17,sF2,tc_Message_Omsg)
    | ~ spl23_34 ),
    inference(avatar_component_clause,[],[f4340]) ).

fof(f4344,definition,
    ( spl23_35
  <=> c_in(sF18,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_35])],[avatar_definition]) ).

fof(f4346,plain,
    ( ~ c_in(sF18,sF2,tc_Message_Omsg)
    | spl23_35 ),
    inference(avatar_component_clause,[],[f4344]) ).

fof(f4347,plain,
    ( spl23_34
    | ~ spl23_35 ),
    inference(avatar_split_clause,[],[f4318,f4344,f4340]) ).

fof(f4365,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),sF2,tc_Message_Omsg)
      | c_in(X0,sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f3513,f3829]) ).

fof(f4369,plain,
    ( ~ c_in(sF17,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_NB),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f4365,f4043]) ).

fof(f4396,plain,
    ( c_Message_Oparts(sF21) = c_Message_Oparts(sF20)
    | ~ c_in(v_X,c_Message_Oparts(sF20),tc_Message_Omsg) ),
    inference(superposition,[],[f3489,f3871]) ).

fof(f4404,plain,
    ( sF22 = c_Message_Oparts(sF20)
    | ~ c_in(v_X,c_Message_Oparts(sF20),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4396,f3873]) ).

fof(f4407,definition,
    ( spl23_38
  <=> c_in(v_X,c_Message_Oparts(sF20),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_38])],[avatar_definition]) ).

fof(f4409,plain,
    ( ~ c_in(v_X,c_Message_Oparts(sF20),tc_Message_Omsg)
    | spl23_38 ),
    inference(avatar_component_clause,[],[f4407]) ).

fof(f4411,definition,
    ( spl23_39
  <=> sF22 = c_Message_Oparts(sF20) ),
    introduced(definition,[new_symbols(definition,[spl23_39])],[avatar_definition]) ).

fof(f4413,plain,
    ( sF22 = c_Message_Oparts(sF20)
    | ~ spl23_39 ),
    inference(avatar_component_clause,[],[f4411]) ).

fof(f4414,plain,
    ( ~ spl23_38
    | spl23_39 ),
    inference(avatar_split_clause,[],[f4404,f4411,f4407]) ).

fof(f4511,plain,
    ( c_in(c_Message_Omsg_OKey(sF11),sF13,tc_Message_Omsg)
    | ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f4163,f3849]) ).

fof(f4547,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(X3,c_Message_Oparts(c_insert(X0,c_insert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X3,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_OMPair(X0,X1) = X3 ),
    inference(superposition,[],[f3251,f3497]) ).

fof(f4612,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Message_Oparts(c_insert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_Message_Omsg_OAgent(X0) = X2 ),
    inference(superposition,[],[f3251,f3492]) ).

fof(f4621,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(sF5,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | sF5 = X0 ),
    inference(superposition,[],[f4612,f3836]) ).

fof(f4670,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(resolution,[],[f3559,f3190]) ).

fof(f4761,plain,
    ! [X0] : c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X0),sF21,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X0),sF22,tc_Message_Omsg),
    inference(superposition,[],[f3496,f3873]) ).

fof(f4770,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Message_Oparts(c_insert(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_Message_Omsg_OKey(X0) = X2 ),
    inference(superposition,[],[f3251,f3496]) ).

fof(f4784,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(sF12,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | sF12 = X0 ),
    inference(superposition,[],[f4770,f3851]) ).

fof(f4829,definition,
    ( spl23_44
  <=> sF12 = sF19 ),
    introduced(definition,[new_symbols(definition,[spl23_44])],[avatar_definition]) ).

fof(f4830,plain,
    ( sF12 != sF19
    | spl23_44 ),
    inference(avatar_component_clause,[],[f4829]) ).

fof(f4831,plain,
    ( sF12 = sF19
    | ~ spl23_44 ),
    inference(avatar_component_clause,[],[f4829]) ).

fof(f4851,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Message_Oparts(c_insert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_Message_Omsg_ONonce(X0) = X2 ),
    inference(superposition,[],[f3251,f3498]) ).

fof(f4970,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(X1),tc_Message_Omsg),X1,tc_Message_Omsg)
      | c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f128,f3366]) ).

fof(f4998,plain,
    ! [X0] : c_Message_Oparts(c_insert(sF19,X0,tc_Message_Omsg)) = c_insert(sF19,c_Message_Oparts(c_insert(sF18,X0,tc_Message_Omsg)),tc_Message_Omsg),
    inference(superposition,[],[f3493,f3867]) ).

fof(f5018,plain,
    ! [X2,X0,X1] : c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg),
    inference(superposition,[],[f3252,f3493]) ).

fof(f5046,plain,
    ! [X2,X0,X1] : c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OCrypt(X1,X0),X2,tc_Message_Omsg)),tc_Message_Omsg),
    inference(resolution,[],[f5018,f3560]) ).

fof(f5069,plain,
    ! [X0,X1] :
      ( c_in(X1,c_Message_Oparts(c_insert(sF18,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Oparts(c_insert(sF19,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | sF19 = X1 ),
    inference(superposition,[],[f3251,f4998]) ).

fof(f5092,plain,
    ! [X0] :
      ( ~ c_in(sF12,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(sF12,X0,tc_Message_Omsg) ),
    inference(superposition,[],[f3442,f3851]) ).

fof(f5099,plain,
    ! [X0] :
      ( c_lessequals(sF22,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(sF21,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)) ),
    inference(superposition,[],[f3502,f3873]) ).

fof(f5384,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(X0,sF7)),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X1,c_OtwayRees_Ootway,sF0)
      | c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    inference(superposition,[],[f4108,f4040]) ).

fof(f5423,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_OMPair(X1,X2) = X0
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg))),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_insert(X2,X3,tc_Message_Omsg))),tc_Message_Omsg) ),
    inference(resolution,[],[f4547,f4670]) ).

fof(f5427,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X2),X3,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),X2) = X0
      | c_in(X0,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_ONonce(X1) = X0 ),
    inference(resolution,[],[f4547,f4851]) ).

fof(f5479,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(c_insert(sF16,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | sF17 = X0
      | ~ c_in(X0,c_Message_Oparts(c_insert(sF17,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_ONonce(v_NB) = X0 ),
    inference(superposition,[],[f5427,f4043]) ).

fof(f5481,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(c_insert(sF17,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | sF18 = X0
      | ~ c_in(X0,c_Message_Oparts(c_insert(sF18,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_ONonce(v_NA) = X0 ),
    inference(superposition,[],[f5427,f4044]) ).

fof(f6162,plain,
    ! [X0] :
      ( ~ c_in(sF16,c_Message_Oparts(c_insert(sF12,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg)
      | c_Message_Omsg_OAgent(v_Aa) = sF12 ),
    inference(resolution,[],[f4189,f4784]) ).

fof(f6172,definition,
    ( spl23_86
  <=> c_Message_Omsg_OAgent(v_Aa) = sF12 ),
    introduced(definition,[new_symbols(definition,[spl23_86])],[avatar_definition]) ).

fof(f6174,plain,
    ( c_Message_Omsg_OAgent(v_Aa) = sF12
    | ~ spl23_86 ),
    inference(avatar_component_clause,[],[f6172]) ).

fof(f6176,definition,
    ( spl23_87
  <=> ! [X0] :
        ( ~ c_in(sF16,c_Message_Oparts(c_insert(sF12,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg) ) ),
    introduced(definition,[new_symbols(definition,[spl23_87])],[avatar_definition]) ).

fof(f6177,plain,
    ( ! [X0] :
        ( ~ c_in(sF16,c_Message_Oparts(c_insert(sF12,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_87 ),
    inference(avatar_component_clause,[],[f6176]) ).

fof(f6178,plain,
    ( spl23_86
    | spl23_87 ),
    inference(avatar_split_clause,[],[f6162,f6176,f6172]) ).

fof(f6197,plain,
    ( ~ c_in(c_Message_Omsg_OAgent(v_Aa),sF14,tc_Message_Omsg)
    | spl23_3
    | ~ spl23_86 ),
    inference(backward_demodulation,[],[f3889,f6174]) ).

fof(f6411,plain,
    ( ~ spl23_24
    | spl23_3
    | ~ spl23_86 ),
    inference(avatar_split_clause,[],[f6197,f6172,f3888,f4252]) ).

fof(f8265,plain,
    ( ~ c_in(sF7,sF14,tc_Message_Omsg)
    | c_in(sF6,sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f4292,f4040]) ).

fof(f8887,plain,
    ! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f3501,f131]) ).

fof(f8925,plain,
    c_lessequals(sF21,sF22,tc_set(tc_Message_Omsg)),
    inference(superposition,[],[f8887,f3873]) ).

fof(f9720,plain,
    ! [X0] :
      ( c_lessequals(X0,c_Message_Oparts(sF21),tc_set(tc_Message_Omsg))
      | ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(sF21),tc_Message_Omsg),sF20,tc_Message_Omsg) ),
    inference(resolution,[],[f4970,f4180]) ).

fof(f9739,plain,
    ! [X0] :
      ( c_lessequals(X0,sF22,tc_set(tc_Message_Omsg))
      | ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(sF21),tc_Message_Omsg),sF20,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f9720,f3873]) ).

fof(f9759,plain,
    ! [X0] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,sF22,tc_Message_Omsg),sF20,tc_Message_Omsg)
      | c_lessequals(X0,sF22,tc_set(tc_Message_Omsg)) ),
    inference(forward_demodulation,[],[f9739,f3873]) ).

fof(f9791,plain,
    ! [X2,X0,X1] : c_insert(X1,X0,X2) = c_union(X0,c_insert(X1,X0,X2),X2),
    inference(superposition,[],[f3194,f3181]) ).

fof(f10622,plain,
    ! [X0] :
      ( ~ c_in(c_Event_Oevent_OGets(v_B,sF8),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,sF0)
      | c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
    inference(superposition,[],[f5384,f4041]) ).

fof(f10628,plain,
    ! [X0] :
      ( c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_OtwayRees_Ootway,sF0)
      | ~ c_in(sF9,c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(forward_demodulation,[],[f10622,f3844]) ).

fof(f10632,plain,
    ( c_in(v_X,c_Message_Oparts(sF13),tc_Message_Omsg)
    | ~ c_in(v_evs2,c_OtwayRees_Ootway,sF0)
    | ~ c_in(sF9,c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(superposition,[],[f10628,f3853]) ).

fof(f10638,plain,
    ( c_in(v_X,c_Message_Oparts(sF13),tc_Message_Omsg)
    | ~ c_in(sF9,c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(forward_subsumption_resolution,[],[f10632,f3825]) ).

fof(f10639,plain,
    ( c_in(v_X,sF14,tc_Message_Omsg)
    | ~ c_in(sF9,c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(forward_demodulation,[],[f10638,f3855]) ).

fof(f12301,definition,
    ( spl23_213
  <=> c_Message_Omsg_ONonce(v_NA) = sF12 ),
    introduced(definition,[new_symbols(definition,[spl23_213])],[avatar_definition]) ).

fof(f12302,plain,
    ( c_Message_Omsg_ONonce(v_NA) != sF12
    | spl23_213 ),
    inference(avatar_component_clause,[],[f12301]) ).

fof(f12303,plain,
    ( c_Message_Omsg_ONonce(v_NA) = sF12
    | ~ spl23_213 ),
    inference(avatar_component_clause,[],[f12301]) ).

fof(f12489,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(sF16,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | sF16 = X0
      | ~ c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Osynth(c_Message_Oanalz(c_insert(sF5,X1,tc_Message_Omsg))),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(c_insert(sF5,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_insert(sF5,X1,tc_Message_Omsg))),tc_Message_Omsg) ),
    inference(superposition,[],[f5423,f4042]) ).

fof(f12504,plain,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_insert(sF5,X1,tc_Message_Omsg))),tc_Message_Omsg)
      | sF16 = X0
      | c_in(X0,c_Message_Oparts(c_insert(sF5,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(sF16,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f12489,f3410]) ).

fof(f13947,plain,
    ! [X0] : c_in(sF18,c_Message_Oparts(c_insert(sF19,X0,tc_Message_Omsg)),tc_Message_Omsg),
    inference(superposition,[],[f5046,f3867]) ).

fof(f13986,plain,
    sF20 = c_union(sF13,sF20,tc_Message_Omsg),
    inference(superposition,[],[f9791,f3869]) ).

fof(f14633,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X2,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(X1,c_OtwayRees_Ootway,sF0) ),
    inference(resolution,[],[f3558,f4037]) ).

fof(f14646,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent)
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
      | ~ c_in(v_evs2,c_OtwayRees_Ootway,sF0) ),
    inference(superposition,[],[f14633,f3846]) ).

fof(f14647,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent)
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f14646,f3825]) ).

fof(f14648,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF10,tc_Event_Oevent)
      | c_in(X1,c_Message_Oanalz(sF13),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f14647,f3853]) ).

fof(f14649,plain,
    ( ~ c_in(sF9,sF10,tc_Event_Oevent)
    | c_in(sF8,c_Message_Oanalz(sF13),tc_Message_Omsg) ),
    inference(superposition,[],[f14648,f3844]) ).

fof(f14650,plain,
    c_in(sF8,c_Message_Oanalz(sF13),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f14649,f3847]) ).

fof(f14652,plain,
    c_in(sF8,sF14,tc_Message_Omsg),
    inference(resolution,[],[f14650,f4156]) ).

fof(f14653,plain,
    ( $false
    | spl23_29 ),
    inference(forward_subsumption_resolution,[],[f14652,f4277]) ).

fof(f14654,plain,
    spl23_29,
    inference(avatar_contradiction_clause,[],[f14653]) ).

fof(f14660,plain,
    ( c_in(sF7,sF14,tc_Message_Omsg)
    | ~ spl23_29 ),
    inference(forward_subsumption_resolution,[],[f4302,f4276]) ).

fof(f14661,plain,
    ( $false
    | spl23_25
    | ~ spl23_29 ),
    inference(forward_subsumption_resolution,[],[f14660,f4258]) ).

fof(f14662,plain,
    ( spl23_25
    | ~ spl23_29 ),
    inference(avatar_contradiction_clause,[],[f14661]) ).

fof(f14664,plain,
    ( c_in(sF6,sF14,tc_Message_Omsg)
    | ~ spl23_25 ),
    inference(forward_subsumption_resolution,[],[f8265,f4257]) ).

fof(f14667,plain,
    ( $false
    | spl23_8
    | ~ spl23_25 ),
    inference(forward_subsumption_resolution,[],[f14664,f4129]) ).

fof(f14668,plain,
    ( spl23_8
    | ~ spl23_25 ),
    inference(avatar_contradiction_clause,[],[f14667]) ).

fof(f16594,plain,
    ( ~ c_in(sF9,c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | spl23_6 ),
    inference(forward_subsumption_resolution,[],[f10639,f4117]) ).

fof(f16605,plain,
    ( ~ c_in(sF9,sF10,tc_Event_Oevent)
    | spl23_6 ),
    inference(forward_demodulation,[],[f16594,f3846]) ).

fof(f16616,plain,
    ( $false
    | spl23_6 ),
    inference(forward_subsumption_resolution,[],[f16605,f3847]) ).

fof(f16617,plain,
    spl23_6,
    inference(avatar_contradiction_clause,[],[f16616]) ).

fof(f16975,definition,
    ( spl23_269
  <=> sF12 = sF18 ),
    introduced(definition,[new_symbols(definition,[spl23_269])],[avatar_definition]) ).

fof(f16976,plain,
    ( sF12 != sF18
    | spl23_269 ),
    inference(avatar_component_clause,[],[f16975]) ).

fof(f16977,plain,
    ( sF12 = sF18
    | ~ spl23_269 ),
    inference(avatar_component_clause,[],[f16975]) ).

fof(f16999,plain,
    ( c_in(sF18,sF2,tc_Message_Omsg)
    | ~ spl23_269 ),
    inference(backward_demodulation,[],[f4146,f16977]) ).

fof(f17180,plain,
    ( $false
    | spl23_35
    | ~ spl23_269 ),
    inference(forward_subsumption_resolution,[],[f16999,f4346]) ).

fof(f17181,plain,
    ( spl23_35
    | ~ spl23_269 ),
    inference(avatar_contradiction_clause,[],[f17180]) ).

fof(f17244,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),sF2,tc_Message_Omsg)
    | ~ spl23_34 ),
    inference(forward_subsumption_resolution,[],[f4369,f4342]) ).

fof(f17247,plain,
    ( $false
    | ~ spl23_34 ),
    inference(forward_subsumption_resolution,[],[f17244,f4039]) ).

fof(f17248,plain,
    ~ spl23_34,
    inference(avatar_contradiction_clause,[],[f17247]) ).

fof(f19388,plain,
    ( ! [X0] :
        ( c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg)
        | ~ c_in(sF16,c_insert(sF12,X0,tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl23_87 ),
    inference(resolution,[],[f6177,f3366]) ).

fof(f19836,definition,
    ( spl23_332
  <=> c_Message_Omsg_ONonce(v_NB) = sF12 ),
    introduced(definition,[new_symbols(definition,[spl23_332])],[avatar_definition]) ).

fof(f19838,plain,
    ( c_Message_Omsg_ONonce(v_NB) = sF12
    | ~ spl23_332 ),
    inference(avatar_component_clause,[],[f19836]) ).

fof(f20279,plain,
    ! [X0] :
      ( ~ c_in(sF18,c_Message_Oparts(c_insert(sF12,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg)
      | c_Message_Omsg_ONonce(v_NA) = sF12 ),
    inference(resolution,[],[f4188,f4784]) ).

fof(f20303,definition,
    ( spl23_348
  <=> ! [X0] :
        ( ~ c_in(sF18,c_Message_Oparts(c_insert(sF12,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg) ) ),
    introduced(definition,[new_symbols(definition,[spl23_348])],[avatar_definition]) ).

fof(f20304,plain,
    ( ! [X0] :
        ( ~ c_in(sF18,c_Message_Oparts(c_insert(sF12,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_348 ),
    inference(avatar_component_clause,[],[f20303]) ).

fof(f20305,plain,
    ( spl23_213
    | spl23_348 ),
    inference(avatar_split_clause,[],[f20279,f20303,f12301]) ).

fof(f21854,plain,
    ! [X0] :
      ( c_Message_Oparts(sF21) = c_insert(c_Message_Omsg_OKey(X0),sF22,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Oparts(sF21),tc_Message_Omsg) ),
    inference(superposition,[],[f3489,f4761]) ).

fof(f21892,plain,
    ! [X0] :
      ( sF22 = c_insert(c_Message_Omsg_OKey(X0),sF22,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Oparts(sF21),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f21854,f3873]) ).

fof(f21897,plain,
    ! [X0] :
      ( sF22 = c_insert(c_Message_Omsg_OKey(X0),sF22,tc_Message_Omsg)
      | ~ c_in(c_Message_Omsg_OKey(X0),sF22,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f21892,f3873]) ).

fof(f22633,definition,
    ( spl23_377
  <=> sF12 = sF17 ),
    introduced(definition,[new_symbols(definition,[spl23_377])],[avatar_definition]) ).

fof(f22634,plain,
    ( sF12 != sF17
    | spl23_377 ),
    inference(avatar_component_clause,[],[f22633]) ).

fof(f22635,plain,
    ( sF12 = sF17
    | ~ spl23_377 ),
    inference(avatar_component_clause,[],[f22633]) ).

fof(f22648,plain,
    ( c_in(sF17,sF2,tc_Message_Omsg)
    | ~ spl23_377 ),
    inference(backward_demodulation,[],[f4146,f22635]) ).

fof(f22903,plain,
    ( $false
    | spl23_34
    | ~ spl23_377 ),
    inference(forward_subsumption_resolution,[],[f22648,f4341]) ).

fof(f22904,plain,
    ( spl23_34
    | ~ spl23_377 ),
    inference(avatar_contradiction_clause,[],[f22903]) ).

fof(f23536,definition,
    ( spl23_381
  <=> sF12 = sF16 ),
    introduced(definition,[new_symbols(definition,[spl23_381])],[avatar_definition]) ).

fof(f23537,plain,
    ( sF12 != sF16
    | spl23_381 ),
    inference(avatar_component_clause,[],[f23536]) ).

fof(f23538,plain,
    ( sF12 = sF16
    | ~ spl23_381 ),
    inference(avatar_component_clause,[],[f23536]) ).

fof(f23888,plain,
    ( ~ c_in(c_Message_Omsg_ONonce(v_NA),sF14,tc_Message_Omsg)
    | spl23_3
    | ~ spl23_213 ),
    inference(forward_demodulation,[],[f3889,f12303]) ).

fof(f24032,plain,
    ( $false
    | spl23_3
    | ~ spl23_27
    | ~ spl23_213 ),
    inference(forward_subsumption_resolution,[],[f23888,f4268]) ).

fof(f24033,plain,
    ( spl23_3
    | ~ spl23_27
    | ~ spl23_213 ),
    inference(avatar_contradiction_clause,[],[f24032]) ).

fof(f24634,plain,
    ( ! [X0] :
        ( ~ c_in(sF18,c_Message_Oparts(c_insert(sF19,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_44
    | ~ spl23_348 ),
    inference(forward_demodulation,[],[f20304,f4831]) ).

fof(f24754,plain,
    ( ! [X0] : c_in(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(X0),tc_Message_Omsg)
    | ~ spl23_44
    | ~ spl23_348 ),
    inference(forward_subsumption_resolution,[],[f24634,f13947]) ).

fof(f25079,definition,
    ( spl23_391
  <=> c_lessequals(sF21,c_Message_Oparts(sF20),tc_set(tc_Message_Omsg)) ),
    introduced(definition,[new_symbols(definition,[spl23_391])],[avatar_definition]) ).

fof(f25080,plain,
    ( ~ c_lessequals(sF21,c_Message_Oparts(sF20),tc_set(tc_Message_Omsg))
    | spl23_391 ),
    inference(avatar_component_clause,[],[f25079]) ).

fof(f25081,plain,
    ( c_lessequals(sF21,c_Message_Oparts(sF20),tc_set(tc_Message_Omsg))
    | ~ spl23_391 ),
    inference(avatar_component_clause,[],[f25079]) ).

fof(f27321,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NA),c_emptyset,tc_Message_Omsg)
    | ~ spl23_44
    | ~ spl23_348 ),
    inference(superposition,[],[f24754,f3370]) ).

fof(f27340,plain,
    ( $false
    | ~ spl23_44
    | ~ spl23_348 ),
    inference(forward_subsumption_resolution,[],[f27321,f3234]) ).

fof(f27341,plain,
    ( ~ spl23_44
    | ~ spl23_348 ),
    inference(avatar_contradiction_clause,[],[f27340]) ).

fof(f28472,plain,
    ( c_lessequals(sF20,sF22,tc_set(tc_Message_Omsg))
    | c_lessequals(sF20,sF22,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f9759,f127]) ).

fof(f28477,plain,
    c_lessequals(sF20,sF22,tc_set(tc_Message_Omsg)),
    inference(duplicate_literal_removal,[],[f28472]) ).

fof(f28737,definition,
    ( spl23_421
  <=> c_in(sF12,c_Message_Oparts(c_insert(sF18,sF13,tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl23_421])],[avatar_definition]) ).

fof(f28738,plain,
    ( c_in(sF12,c_Message_Oparts(c_insert(sF18,sF13,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl23_421 ),
    inference(avatar_component_clause,[],[f28737]) ).

fof(f28739,plain,
    ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF18,sF13,tc_Message_Omsg)),tc_Message_Omsg)
    | spl23_421 ),
    inference(avatar_component_clause,[],[f28737]) ).

fof(f31762,plain,
    ! [X0] :
      ( c_lessequals(sF13,X0,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(sF20,X0,tc_set(tc_Message_Omsg)) ),
    inference(superposition,[],[f3258,f3869]) ).

fof(f32587,plain,
    ( sF22 = c_insert(sF12,sF22,tc_Message_Omsg)
    | ~ c_in(sF12,sF22,tc_Message_Omsg) ),
    inference(superposition,[],[f21897,f3851]) ).

fof(f32640,plain,
    ( sF22 = c_insert(sF12,sF22,tc_Message_Omsg)
    | ~ spl23_2 ),
    inference(forward_subsumption_resolution,[],[f32587,f3884]) ).

fof(f32675,plain,
    ( ! [X0] :
        ( ~ c_lessequals(sF22,X0,tc_set(tc_Message_Omsg))
        | c_in(sF12,X0,tc_Message_Omsg) )
    | ~ spl23_2 ),
    inference(superposition,[],[f3257,f32640]) ).

fof(f32770,plain,
    ( ! [X0] :
        ( ~ c_lessequals(sF21,c_Message_Oparts(X0),tc_set(tc_Message_Omsg))
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_2 ),
    inference(resolution,[],[f32675,f5099]) ).

fof(f34939,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(sF20,X0,tc_set(tc_Message_Omsg))
      | ~ c_in(X1,sF13,tc_Message_Omsg)
      | c_in(X1,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f31762,f126]) ).

fof(f71109,plain,
    ! [X0] :
      ( c_in(X0,sF22,tc_Message_Omsg)
      | ~ c_in(X0,sF13,tc_Message_Omsg) ),
    inference(resolution,[],[f34939,f28477]) ).

fof(f71288,plain,
    ! [X2,X0,X1] :
      ( c_in(X2,c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X2,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f3191,f3367]) ).

fof(f89530,plain,
    ( ~ c_in(sF6,sF14,tc_Message_Omsg)
    | c_in(sF5,sF14,tc_Message_Omsg) ),
    inference(superposition,[],[f4191,f3838]) ).

fof(f93008,plain,
    ! [X0] :
      ( sF12 = sF16
      | c_in(sF12,c_Message_Oparts(c_insert(sF5,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(sF12,c_Message_Oparts(c_insert(sF16,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(sF12,c_Message_Oanalz(c_insert(sF5,X0,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f12504,f5092]) ).

fof(f93031,plain,
    ! [X0] :
      ( sF12 = sF16
      | c_in(sF12,c_Message_Oparts(c_insert(sF5,X0,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(sF12,c_Message_Oparts(c_insert(sF16,X0,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f93008,f3465]) ).

fof(f93042,plain,
    ( ! [X0] :
        ( c_in(sF12,c_Message_Oparts(c_insert(sF5,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(sF12,c_Message_Oparts(c_insert(sF16,X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | spl23_381 ),
    inference(forward_subsumption_resolution,[],[f93031,f23537]) ).

fof(f93046,plain,
    ( ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF16,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg)
        | sF5 = sF12 )
    | spl23_381 ),
    inference(resolution,[],[f93042,f4621]) ).

fof(f93083,definition,
    ( spl23_614
  <=> sF5 = sF12 ),
    introduced(definition,[new_symbols(definition,[spl23_614])],[avatar_definition]) ).

fof(f93085,plain,
    ( sF5 = sF12
    | ~ spl23_614 ),
    inference(avatar_component_clause,[],[f93083]) ).

fof(f93087,definition,
    ( spl23_615
  <=> ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF16,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) ) ),
    introduced(definition,[new_symbols(definition,[spl23_615])],[avatar_definition]) ).

fof(f93088,plain,
    ( ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF16,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_615 ),
    inference(avatar_component_clause,[],[f93087]) ).

fof(f93089,plain,
    ( spl23_614
    | spl23_615
    | spl23_381 ),
    inference(avatar_split_clause,[],[f93046,f23536,f93087,f93083]) ).

fof(f93101,plain,
    ( ~ c_in(sF5,sF14,tc_Message_Omsg)
    | spl23_3
    | ~ spl23_614 ),
    inference(backward_demodulation,[],[f3889,f93085]) ).

fof(f93693,plain,
    ( $false
    | spl23_3
    | ~ spl23_10
    | ~ spl23_614 ),
    inference(forward_subsumption_resolution,[],[f93101,f4138]) ).

fof(f93694,plain,
    ( spl23_3
    | ~ spl23_10
    | ~ spl23_614 ),
    inference(avatar_contradiction_clause,[],[f93693]) ).

fof(f94088,plain,
    ( ! [X0] :
        ( sF12 = sF17
        | ~ c_in(sF12,c_Message_Oparts(c_insert(sF17,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Omsg_ONonce(v_NB) = sF12
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_615 ),
    inference(resolution,[],[f5479,f93088]) ).

fof(f94103,plain,
    ( ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF17,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Omsg_ONonce(v_NB) = sF12
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) )
    | spl23_377
    | ~ spl23_615 ),
    inference(forward_subsumption_resolution,[],[f94088,f22634]) ).

fof(f94112,definition,
    ( spl23_618
  <=> ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF17,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) ) ),
    introduced(definition,[new_symbols(definition,[spl23_618])],[avatar_definition]) ).

fof(f94113,plain,
    ( ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF17,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_618 ),
    inference(avatar_component_clause,[],[f94112]) ).

fof(f94114,plain,
    ( spl23_332
    | spl23_618
    | spl23_377
    | ~ spl23_615 ),
    inference(avatar_split_clause,[],[f94103,f93087,f22633,f94112,f19836]) ).

fof(f98011,plain,
    ( ! [X0] :
        ( c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg)
        | sF12 = sF18
        | ~ c_in(sF12,c_Message_Oparts(c_insert(sF18,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Omsg_ONonce(v_NA) = sF12 )
    | ~ spl23_618 ),
    inference(resolution,[],[f94113,f5481]) ).

fof(f98030,plain,
    ( ! [X0] :
        ( c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg)
        | ~ c_in(sF12,c_Message_Oparts(c_insert(sF18,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Omsg_ONonce(v_NA) = sF12 )
    | spl23_269
    | ~ spl23_618 ),
    inference(forward_subsumption_resolution,[],[f98011,f16976]) ).

fof(f98031,plain,
    ( ! [X0] :
        ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF18,X0,tc_Message_Omsg)),tc_Message_Omsg)
        | c_in(sF12,c_Message_Oparts(X0),tc_Message_Omsg) )
    | spl23_213
    | spl23_269
    | ~ spl23_618 ),
    inference(forward_subsumption_resolution,[],[f98030,f12302]) ).

fof(f99565,plain,
    ( c_in(sF12,c_Message_Oparts(sF13),tc_Message_Omsg)
    | spl23_213
    | spl23_269
    | ~ spl23_421
    | ~ spl23_618 ),
    inference(resolution,[],[f98031,f28738]) ).

fof(f99596,plain,
    ( c_in(sF12,sF14,tc_Message_Omsg)
    | spl23_213
    | spl23_269
    | ~ spl23_421
    | ~ spl23_618 ),
    inference(forward_demodulation,[],[f99565,f3855]) ).

fof(f99602,plain,
    ( $false
    | spl23_3
    | spl23_213
    | spl23_269
    | ~ spl23_421
    | ~ spl23_618 ),
    inference(forward_subsumption_resolution,[],[f99596,f3889]) ).

fof(f99603,plain,
    ( spl23_3
    | spl23_213
    | spl23_269
    | ~ spl23_421
    | ~ spl23_618 ),
    inference(avatar_contradiction_clause,[],[f99602]) ).

fof(f100080,plain,
    ( c_in(sF5,sF14,tc_Message_Omsg)
    | ~ spl23_8 ),
    inference(forward_subsumption_resolution,[],[f89530,f4130]) ).

fof(f100323,plain,
    ( $false
    | ~ spl23_8
    | spl23_10 ),
    inference(forward_subsumption_resolution,[],[f100080,f4137]) ).

fof(f100324,plain,
    ( ~ spl23_8
    | spl23_10 ),
    inference(avatar_contradiction_clause,[],[f100323]) ).

fof(f103910,plain,
    ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF19,sF13,tc_Message_Omsg)),tc_Message_Omsg)
    | sF12 = sF19
    | spl23_421 ),
    inference(resolution,[],[f5069,f28739]) ).

fof(f103934,plain,
    ( ~ c_in(sF12,c_Message_Oparts(c_insert(sF19,sF13,tc_Message_Omsg)),tc_Message_Omsg)
    | spl23_44
    | spl23_421 ),
    inference(forward_subsumption_resolution,[],[f103910,f4830]) ).

fof(f103944,plain,
    ( ~ c_in(sF12,c_Message_Oparts(sF20),tc_Message_Omsg)
    | spl23_44
    | spl23_421 ),
    inference(forward_demodulation,[],[f103934,f3869]) ).

fof(f112848,plain,
    ( c_in(sF12,c_Message_Oparts(sF20),tc_Message_Omsg)
    | ~ spl23_2
    | ~ spl23_391 ),
    inference(resolution,[],[f25081,f32770]) ).

fof(f112852,plain,
    ( $false
    | ~ spl23_2
    | spl23_44
    | ~ spl23_391
    | spl23_421 ),
    inference(forward_subsumption_resolution,[],[f112848,f103944]) ).

fof(f112853,plain,
    ( ~ spl23_2
    | spl23_44
    | ~ spl23_391
    | spl23_421 ),
    inference(avatar_contradiction_clause,[],[f112852]) ).

fof(f140146,plain,
    ! [X0] :
      ( c_in(X0,c_Message_Oparts(sF20),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(sF13),tc_Message_Omsg) ),
    inference(superposition,[],[f71288,f13986]) ).

fof(f140162,plain,
    ! [X0] :
      ( c_in(X0,c_Message_Oparts(sF20),tc_Message_Omsg)
      | ~ c_in(X0,sF14,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f140146,f3855]) ).

fof(f140214,plain,
    ( ~ c_in(v_X,sF14,tc_Message_Omsg)
    | spl23_38 ),
    inference(resolution,[],[f140162,f4409]) ).

fof(f140227,plain,
    ( $false
    | ~ spl23_6
    | spl23_38 ),
    inference(forward_subsumption_resolution,[],[f140214,f4118]) ).

fof(f140228,plain,
    ( ~ spl23_6
    | spl23_38 ),
    inference(avatar_contradiction_clause,[],[f140227]) ).

fof(f140262,plain,
    ( ~ c_lessequals(sF21,sF22,tc_set(tc_Message_Omsg))
    | ~ spl23_39
    | spl23_391 ),
    inference(backward_demodulation,[],[f25080,f4413]) ).

fof(f140408,plain,
    ( ! [X0] :
        ( ~ c_in(sF16,c_insert(sF16,X0,tc_Message_Omsg),tc_Message_Omsg)
        | c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl23_87
    | ~ spl23_381 ),
    inference(backward_demodulation,[],[f19388,f23538]) ).

fof(f140854,plain,
    ( $false
    | ~ spl23_39
    | spl23_391 ),
    inference(forward_subsumption_resolution,[],[f140262,f8925]) ).

fof(f140855,plain,
    ( ~ spl23_39
    | spl23_391 ),
    inference(avatar_contradiction_clause,[],[f140854]) ).

fof(f141080,plain,
    ( ! [X0] : c_in(c_Message_Omsg_OAgent(v_Aa),c_Message_Oparts(X0),tc_Message_Omsg)
    | ~ spl23_87
    | ~ spl23_381 ),
    inference(forward_subsumption_resolution,[],[f140408,f3252]) ).

fof(f141903,plain,
    ( c_in(c_Message_Omsg_OAgent(v_Aa),c_emptyset,tc_Message_Omsg)
    | ~ spl23_87
    | ~ spl23_381 ),
    inference(superposition,[],[f141080,f3370]) ).

fof(f141937,plain,
    ( $false
    | ~ spl23_87
    | ~ spl23_381 ),
    inference(forward_subsumption_resolution,[],[f141903,f3234]) ).

fof(f141938,plain,
    ( ~ spl23_87
    | ~ spl23_381 ),
    inference(avatar_contradiction_clause,[],[f141937]) ).

fof(f141948,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),sF2,tc_Message_Omsg)
    | ~ spl23_332 ),
    inference(forward_demodulation,[],[f4146,f19838]) ).

fof(f142434,plain,
    ( $false
    | ~ spl23_332 ),
    inference(forward_subsumption_resolution,[],[f141948,f4039]) ).

fof(f142435,plain,
    ~ spl23_332,
    inference(avatar_contradiction_clause,[],[f142434]) ).

fof(f142965,plain,
    ( c_in(c_Message_Omsg_OKey(sF11),sF13,tc_Message_Omsg)
    | ~ spl23_1 ),
    inference(forward_subsumption_resolution,[],[f4511,f3880]) ).

fof(f143114,plain,
    ( c_in(sF12,sF13,tc_Message_Omsg)
    | ~ spl23_1 ),
    inference(forward_demodulation,[],[f142965,f3851]) ).

fof(f143345,plain,
    ( ~ c_in(sF12,sF13,tc_Message_Omsg)
    | spl23_2 ),
    inference(resolution,[],[f3883,f71109]) ).

fof(f143353,plain,
    ( $false
    | ~ spl23_1
    | spl23_2 ),
    inference(forward_subsumption_resolution,[],[f143345,f143114]) ).

fof(f143354,plain,
    ( ~ spl23_1
    | spl23_2 ),
    inference(avatar_contradiction_clause,[],[f143353]) ).

cnf(s1,plain,
    ( spl23_1
    | spl23_2 ),
    inference(sat_conversion,[],[f3885]) ).

cnf(s2,plain,
    ( ~ spl23_1
    | ~ spl23_2 ),
    inference(sat_conversion,[],[f3886]) ).

cnf(s4,plain,
    ( spl23_1
    | ~ spl23_3 ),
    inference(sat_conversion,[],[f3892]) ).

cnf(s18,plain,
    ( spl23_24
    | ~ spl23_25 ),
    inference(sat_conversion,[],[f4259]) ).

cnf(s21,plain,
    ( spl23_27
    | ~ spl23_29 ),
    inference(sat_conversion,[],[f4278]) ).

cnf(s24,plain,
    ( spl23_34
    | ~ spl23_35 ),
    inference(sat_conversion,[],[f4347]) ).

cnf(s28,plain,
    ( ~ spl23_38
    | spl23_39 ),
    inference(sat_conversion,[],[f4414]) ).

cnf(s59,plain,
    ( spl23_86
    | spl23_87 ),
    inference(sat_conversion,[],[f6178]) ).

cnf(s63,plain,
    ( spl23_3
    | ~ spl23_24
    | ~ spl23_86 ),
    inference(sat_conversion,[],[f6411]) ).

cnf(s189,plain,
    spl23_29,
    inference(sat_conversion,[],[f14654]) ).

cnf(s191,plain,
    ( spl23_25
    | ~ spl23_29 ),
    inference(sat_conversion,[],[f14662]) ).

cnf(s193,plain,
    ( spl23_8
    | ~ spl23_25 ),
    inference(sat_conversion,[],[f14668]) ).

cnf(s238,plain,
    spl23_6,
    inference(sat_conversion,[],[f16617]) ).

cnf(s248,plain,
    ( spl23_35
    | ~ spl23_269 ),
    inference(sat_conversion,[],[f17181]) ).

cnf(s249,plain,
    ~ spl23_34,
    inference(sat_conversion,[],[f17248]) ).

cnf(s311,plain,
    ( spl23_213
    | spl23_348 ),
    inference(sat_conversion,[],[f20305]) ).

cnf(s338,plain,
    ( spl23_34
    | ~ spl23_377 ),
    inference(sat_conversion,[],[f22904]) ).

cnf(s348,plain,
    ( spl23_3
    | ~ spl23_27
    | ~ spl23_213 ),
    inference(sat_conversion,[],[f24033]) ).

cnf(s451,plain,
    ( ~ spl23_44
    | ~ spl23_348 ),
    inference(sat_conversion,[],[f27341]) ).

cnf(s1950,plain,
    ( spl23_381
    | spl23_614
    | spl23_615 ),
    inference(sat_conversion,[],[f93089]) ).

cnf(s1956,plain,
    ( spl23_3
    | ~ spl23_10
    | ~ spl23_614 ),
    inference(sat_conversion,[],[f93694]) ).

cnf(s1962,plain,
    ( spl23_332
    | spl23_377
    | ~ spl23_615
    | spl23_618 ),
    inference(sat_conversion,[],[f94114]) ).

cnf(s1989,plain,
    ( spl23_3
    | spl23_213
    | spl23_269
    | ~ spl23_421
    | ~ spl23_618 ),
    inference(sat_conversion,[],[f99603]) ).

cnf(s2003,plain,
    ( ~ spl23_8
    | spl23_10 ),
    inference(sat_conversion,[],[f100324]) ).

cnf(s2073,plain,
    ( ~ spl23_2
    | spl23_44
    | ~ spl23_391
    | spl23_421 ),
    inference(sat_conversion,[],[f112853]) ).

cnf(s2250,plain,
    ( ~ spl23_6
    | spl23_38 ),
    inference(sat_conversion,[],[f140228]) ).

cnf(s2254,plain,
    ( ~ spl23_39
    | spl23_391 ),
    inference(sat_conversion,[],[f140855]) ).

cnf(s2288,plain,
    ( ~ spl23_87
    | ~ spl23_381 ),
    inference(sat_conversion,[],[f141938]) ).

cnf(s2290,plain,
    ~ spl23_332,
    inference(sat_conversion,[],[f142435]) ).

cnf(s2352,plain,
    ( ~ spl23_1
    | spl23_2 ),
    inference(sat_conversion,[],[f143354]) ).

cnf(s2364,plain,
    ( spl23_377
    | ~ spl23_615
    | spl23_618 ),
    inference(rat,[],[s1962,s2290]) ).

cnf(s2388,plain,
    ~ spl23_377,
    inference(rat,[],[s338,s249]) ).

cnf(s2391,plain,
    spl23_38,
    inference(rat,[],[s2250,s238]) ).

cnf(s2408,plain,
    spl23_25,
    inference(rat,[],[s191,s189]) ).

cnf(s2412,plain,
    spl23_8,
    inference(rat,[],[s193,s2408]) ).

cnf(s2416,plain,
    spl23_10,
    inference(rat,[],[s2003,s2412]) ).

cnf(s2466,plain,
    spl23_39,
    inference(rat,[],[s28,s2391]) ).

cnf(s2467,plain,
    spl23_391,
    inference(rat,[],[s2254,s2466]) ).

cnf(s2475,plain,
    ~ spl23_35,
    inference(rat,[],[s24,s249]) ).

cnf(s2477,plain,
    ~ spl23_269,
    inference(rat,[],[s248,s2475]) ).

cnf(s2481,plain,
    spl23_27,
    inference(rat,[],[s21,s189]) ).

cnf(s2484,plain,
    spl23_24,
    inference(rat,[],[s18,s2408]) ).

cnf(s2502,plain,
    spl23_1,
    inference(rat,[],[s2364,s1989,s1950,s2073,s2288,s451,s59,s311,s63,s348,s1956,s1,s4,s2388,s2477,s2467,s2484,s2481,s2416]) ).

cnf(s2503,plain,
    spl23_2,
    inference(rat,[],[s2352,s2502]) ).

cnf(s2508,plain,
    $false,
    inference(rat,[],[s2,s2503,s2502]) ).

fof(f143357,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2508]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV316-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n026.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 10:35:57 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 6.68/1.89  % (3767325)Input is clausal, will run a generic CNF schedule.
% 6.68/1.89  % (3767334)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2798028477:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.68/1.89  % (3767330)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=2619412723:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.68/1.89  % (3767336)dis-21_1_sil=8000:lcm=predicate:random_seed=2727547582: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)
% 6.68/1.89  % (3767335)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1374410046:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.68/1.89  % (3767333)lrs+10_1_sil=8000:sp=occurrence:random_seed=2765718572:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.68/1.89  % (3767332)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=669328586:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.68/1.89  % (3767331)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1168761434:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.68/1.89  % (3767334)Instruction limit reached! 
% 6.68/1.89  % (3767334)------------------------------
% 6.68/1.89  % (3767334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.89  % (3767334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.89  % (3767334)CaDiCaL version: 2.1.3
% 6.68/1.89  % (3767334)Termination reason: Instruction limit
% 6.68/1.89  % (3767334)Termination phase: Saturation
% 6.68/1.89  % (3767334)Time elapsed: 0.040 s
% 6.68/1.89  % (3767334)Peak memory usage: 91 MB
% 6.68/1.89  % (3767334)Instructions burned: 117 (million)
% 6.68/1.89  % (3767336)Instruction limit reached! 
% 6.68/1.89  % (3767336)------------------------------
% 6.68/1.89  % (3767336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.89  % (3767336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.89  % (3767336)CaDiCaL version: 2.1.3
% 6.68/1.89  % (3767336)Termination reason: Instruction limit
% 6.68/1.89  % (3767336)Termination phase: Saturation
% 6.68/1.89  % (3767336)Time elapsed: 0.064 s
% 6.68/1.89  % (3767336)Peak memory usage: 91 MB
% 6.68/1.89  % (3767336)Instructions burned: 118 (million)
% 6.68/1.89  % (3767333)Instruction limit reached! 
% 6.68/1.89  % (3767333)------------------------------
% 6.68/1.89  % (3767333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.89  % (3767333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.89  % (3767333)CaDiCaL version: 2.1.3
% 6.68/1.89  % (3767333)Termination reason: Instruction limit
% 6.68/1.89  % (3767333)Termination phase: Saturation
% 6.68/1.89  % (3767333)Time elapsed: 0.071 s
% 6.68/1.89  % (3767333)Peak memory usage: 91 MB
% 6.68/1.89  % (3767333)Instructions burned: 107 (million)
% 6.68/1.89  % (3767344)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=818868985:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.68/1.89  % (3767335)Instruction limit reached! 
% 6.68/1.89  % (3767335)------------------------------
% 6.68/1.89  % (3767335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.89  % (3767335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.89  % (3767335)CaDiCaL version: 2.1.3
% 6.68/1.89  % (3767335)Termination reason: Instruction limit
% 6.68/1.89  % (3767335)Termination phase: Saturation
% 6.68/1.89  % (3767335)Time elapsed: 0.110 s
% 6.68/1.89  % (3767335)Peak memory usage: 91 MB
% 6.68/1.89  % (3767335)Instructions burned: 181 (million)
% 6.68/1.89  % (3767344)Instruction limit reached! 
% 6.68/1.89  % (3767344)------------------------------
% 6.68/1.89  % (3767344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.68/1.89  % (3767344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.89  % (3767344)CaDiCaL version: 2.1.3
% 6.68/1.89  % (3767344)Termination reason: Instruction limit
% 6.68/1.89  % (3767344)Termination phase: Saturation
% 6.68/1.89  % (3767344)Time elapsed: 0.045 s
% 6.68/1.89  % (3767344)Peak memory usage: 91 MB
% 6.68/1.89  % (3767344)Instructions burned: 145 (million)
% 6.68/1.89  % (3767345)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2991913799: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)
% 17.36/3.15  % (3767346)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1812566546:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 17.36/3.15  % (3767349)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2086988692:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 17.36/3.15  % (3767348)lrs+10_64_to=lpo:sil=8000:random_seed=2534399297:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 17.36/3.15  % (3767349)Instruction limit reached! 
% 17.36/3.15  % (3767349)------------------------------
% 17.36/3.15  % (3767349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.36/3.15  % (3767349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/3.15  % (3767349)CaDiCaL version: 2.1.3
% 17.36/3.15  % (3767349)Termination reason: Instruction limit
% 17.36/3.15  % (3767349)Termination phase: Saturation
% 17.36/3.15  % (3767349)Time elapsed: 0.059 s
% 17.36/3.15  % (3767349)Peak memory usage: 92 MB
% 17.36/3.15  % (3767349)Instructions burned: 195 (million)
% 17.36/3.15  % (3767345)Instruction limit reached! 
% 17.36/3.15  % (3767345)------------------------------
% 17.36/3.15  % (3767345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.36/3.15  % (3767345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/3.15  % (3767345)CaDiCaL version: 2.1.3
% 17.36/3.15  % (3767345)Termination reason: Instruction limit
% 17.36/3.15  % (3767345)Termination phase: Saturation
% 17.36/3.15  % (3767345)Time elapsed: 0.108 s
% 17.36/3.15  % (3767345)Peak memory usage: 93 MB
% 17.36/3.15  % (3767345)Instructions burned: 189 (million)
% 17.36/3.15  % (3767348)Instruction limit reached! 
% 17.36/3.15  % (3767348)------------------------------
% 17.36/3.15  % (3767348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.36/3.15  % (3767348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/3.15  % (3767348)CaDiCaL version: 2.1.3
% 17.36/3.15  % (3767348)Termination reason: Instruction limit
% 17.36/3.15  % (3767348)Termination phase: Saturation
% 17.36/3.15  % (3767348)Time elapsed: 0.072 s
% 17.36/3.15  % (3767348)Peak memory usage: 92 MB
% 17.36/3.15  % (3767348)Instructions burned: 126 (million)
% 17.36/3.15  % (3767346)Instruction limit reached! 
% 17.36/3.15  % (3767346)------------------------------
% 17.36/3.15  % (3767346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.36/3.15  % (3767346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/3.15  % (3767346)CaDiCaL version: 2.1.3
% 17.36/3.15  % (3767346)Termination reason: Instruction limit
% 17.36/3.15  % (3767346)Termination phase: Saturation
% 17.36/3.15  % (3767346)Time elapsed: 0.132 s
% 17.36/3.15  % (3767346)Peak memory usage: 93 MB
% 17.36/3.15  % (3767346)Instructions burned: 220 (million)
% 17.36/3.15  % (3767354)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=444819013:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 17.36/3.15  % (3767354)Instruction limit reached! 
% 17.36/3.15  % (3767354)------------------------------
% 17.36/3.15  % (3767354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.36/3.15  % (3767354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.36/3.15  % (3767354)CaDiCaL version: 2.1.3
% 17.36/3.15  % (3767354)Termination reason: Instruction limit
% 17.36/3.15  % (3767354)Termination phase: Saturation
% 17.36/3.15  % (3767354)Time elapsed: 0.045 s
% 17.36/3.15  % (3767354)Peak memory usage: 92 MB
% 17.36/3.15  % (3767354)Instructions burned: 158 (million)
% 17.36/3.15  % (3767355)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2541945522:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 17.36/3.15  % (3767356)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=3941395599:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 17.36/3.15  % (3767357)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3861435514:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 17.36/3.15  % (3767356)Instruction limit reached! 
% 17.36/3.15  % (3767356)------------------------------
% 17.36/3.15  % (3767356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.71/5.39  % (3767356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.71/5.39  % (3767356)CaDiCaL version: 2.1.3
% 32.71/5.39  % (3767356)Termination reason: Instruction limit
% 32.71/5.39  % (3767356)Termination phase: Saturation
% 32.71/5.39  % (3767356)Time elapsed: 0.063 s
% 32.71/5.39  % (3767356)Peak memory usage: 91 MB
% 32.71/5.39  % (3767356)Instructions burned: 108 (million)
% 32.71/5.39  % (3767360)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1926605809:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 32.71/5.39  % (3767357)Instruction limit reached! 
% 32.71/5.39  % (3767357)------------------------------
% 32.71/5.39  % (3767357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.71/5.39  % (3767357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.71/5.39  % (3767357)CaDiCaL version: 2.1.3
% 32.71/5.39  % (3767357)Termination reason: Instruction limit
% 32.71/5.39  % (3767357)Termination phase: Saturation
% 32.71/5.39  % (3767357)Time elapsed: 0.066 s
% 32.71/5.39  % (3767357)Peak memory usage: 92 MB
% 32.71/5.39  % (3767357)Instructions burned: 107 (million)
% 32.71/5.39  % (3767360)Instruction limit reached! 
% 32.71/5.39  % (3767360)------------------------------
% 32.71/5.39  % (3767360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.71/5.39  % (3767360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.71/5.39  % (3767360)CaDiCaL version: 2.1.3
% 32.71/5.39  % (3767360)Termination reason: Instruction limit
% 32.71/5.39  % (3767360)Termination phase: Saturation
% 32.71/5.39  % (3767360)Time elapsed: 0.070 s
% 32.71/5.39  % (3767360)Peak memory usage: 91 MB
% 32.71/5.39  % (3767360)Instructions burned: 243 (million)
% 32.71/5.39  % (3767364)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=971791259:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 32.71/5.39  % (3767365)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1009178817:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 32.71/5.39  % (3767366)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=299044158:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 32.71/5.39  % (3767365)Instruction limit reached! 
% 32.71/5.39  % (3767365)------------------------------
% 32.71/5.39  % (3767365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.71/5.39  % (3767365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.71/5.39  % (3767365)CaDiCaL version: 2.1.3
% 32.71/5.39  % (3767365)Termination reason: Instruction limit
% 32.71/5.39  % (3767365)Termination phase: Saturation
% 32.71/5.39  % (3767365)Time elapsed: 0.069 s
% 32.71/5.39  % (3767365)Peak memory usage: 90 MB
% 32.71/5.39  % (3767365)Instructions burned: 135 (million)
% 32.71/5.39  % (3767366)Instruction limit reached! 
% 32.71/5.39  % (3767366)------------------------------
% 32.71/5.39  % (3767366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.71/5.39  % (3767366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.71/5.39  % (3767366)CaDiCaL version: 2.1.3
% 32.71/5.39  % (3767366)Termination reason: Instruction limit
% 32.71/5.39  % (3767366)Termination phase: Saturation
% 32.71/5.39  % (3767366)Time elapsed: 0.147 s
% 32.71/5.39  % (3767366)Peak memory usage: 100 MB
% 32.71/5.39  % (3767366)Instructions burned: 503 (million)
% 32.71/5.39  % (3767370)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2492759348:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 32.71/5.39  % (3767371)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1935748219:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 32.71/5.39  % (3767370)Instruction limit reached! 
% 32.71/5.39  % (3767370)------------------------------
% 32.71/5.39  % (3767370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.71/5.39  % (3767370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.71/5.39  % (3767370)CaDiCaL version: 2.1.3
% 32.71/5.39  % (3767370)Termination reason: Instruction limit
% 32.71/5.39  % (3767370)Termination phase: Saturation
% 32.71/5.39  % (3767370)Time elapsed: 0.117 s
% 32.71/5.39  % (3767370)Peak memory usage: 92 MB
% 32.71/5.39  % (3767370)Instructions burned: 192 (million)
% 32.71/5.39  % (3767371)Instruction limit reached! 
% 32.71/5.39  % (3767371)------------------------------
% 48.98/7.63  % (3767371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.98/7.63  % (3767371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.98/7.63  % (3767371)CaDiCaL version: 2.1.3
% 48.98/7.63  % (3767371)Termination reason: Instruction limit
% 48.98/7.63  % (3767371)Termination phase: Saturation
% 48.98/7.63  % (3767371)Time elapsed: 0.067 s
% 48.98/7.63  % (3767371)Peak memory usage: 94 MB
% 48.98/7.63  % (3767371)Instructions burned: 268 (million)
% 48.98/7.63  % (3767374)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3031934122:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 48.98/7.63  % (3767375)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=785087842:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 48.98/7.63  % (3767374)Instruction limit reached! 
% 48.98/7.63  % (3767374)------------------------------
% 48.98/7.63  % (3767374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.98/7.63  % (3767374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.98/7.63  % (3767374)CaDiCaL version: 2.1.3
% 48.98/7.63  % (3767374)Termination reason: Instruction limit
% 48.98/7.63  % (3767374)Termination phase: Saturation
% 48.98/7.63  % (3767374)Time elapsed: 0.086 s
% 48.98/7.63  % (3767374)Peak memory usage: 91 MB
% 48.98/7.63  % (3767374)Instructions burned: 157 (million)
% 48.98/7.63  % (3767378)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1477211238:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 48.98/7.63  % (3767378)Instruction limit reached! 
% 48.98/7.63  % (3767378)------------------------------
% 48.98/7.63  % (3767378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.98/7.63  % (3767378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.98/7.63  % (3767378)CaDiCaL version: 2.1.3
% 48.98/7.63  % (3767378)Termination reason: Instruction limit
% 48.98/7.63  % (3767378)Termination phase: Saturation
% 48.98/7.63  % (3767378)Time elapsed: 0.253 s
% 48.98/7.63  % (3767378)Peak memory usage: 91 MB
% 48.98/7.63  % (3767378)Instructions burned: 537 (million)
% 48.98/7.63  % (3767380)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1219123812:i=180:bd=preordered:av=off_2981 on theBenchmark for (2981ds/180Mi)
% 48.98/7.63  % (3767380)Instruction limit reached! 
% 48.98/7.63  % (3767380)------------------------------
% 48.98/7.63  % (3767380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.98/7.63  % (3767380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.98/7.63  % (3767380)CaDiCaL version: 2.1.3
% 48.98/7.63  % (3767380)Termination reason: Instruction limit
% 48.98/7.63  % (3767380)Termination phase: Saturation
% 48.98/7.63  % (3767380)Time elapsed: 0.104 s
% 48.98/7.63  % (3767380)Peak memory usage: 92 MB
% 48.98/7.63  % (3767380)Instructions burned: 181 (million)
% 48.98/7.63  % (3767355)Instruction limit reached! 
% 48.98/7.63  % (3767355)------------------------------
% 48.98/7.63  % (3767355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.98/7.63  % (3767355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.98/7.63  % (3767355)CaDiCaL version: 2.1.3
% 48.98/7.63  % (3767355)Termination reason: Instruction limit
% 48.98/7.63  % (3767355)Termination phase: Saturation
% 48.98/7.63  % (3767355)Time elapsed: 1.471 s
% 48.98/7.63  % (3767355)Peak memory usage: 152 MB
% 48.98/7.63  % (3767355)Instructions burned: 3395 (million)
% 48.98/7.63  % (3767382)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3933852591:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/10307Mi)
% 48.98/7.63  % (3767383)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1158465192:i=412:gtgl=4:gtg=exists_all_2978 on theBenchmark for (2978ds/412Mi)
% 48.98/7.63  % (3767383)Instruction limit reached! 
% 48.98/7.63  % (3767383)------------------------------
% 48.98/7.63  % (3767383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.98/7.63  % (3767383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.98/7.63  % (3767383)CaDiCaL version: 2.1.3
% 48.98/7.63  % (3767383)Termination reason: Instruction limit
% 48.98/7.63  % (3767383)Termination phase: Saturation
% 70.89/10.89  % (3767383)Time elapsed: 0.230 s
% 70.89/10.89  % (3767383)Peak memory usage: 96 MB
% 70.89/10.89  % (3767383)Instructions burned: 412 (million)
% 70.89/10.89  % (3767386)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1298209514:s2pl=no:i=8478:s2at=4:nm=6_2975 on theBenchmark for (2975ds/8478Mi)
% 70.89/10.89  % (3767364)Instruction limit reached! 
% 70.89/10.89  % (3767364)------------------------------
% 70.89/10.89  % (3767364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.89/10.89  % (3767364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.89/10.89  % (3767364)CaDiCaL version: 2.1.3
% 70.89/10.89  % (3767364)Termination reason: Instruction limit
% 70.89/10.89  % (3767364)Termination phase: Saturation
% 70.89/10.89  % (3767364)Time elapsed: 2.266 s
% 70.89/10.89  % (3767364)Peak memory usage: 169 MB
% 70.89/10.89  % (3767364)Instructions burned: 5212 (million)
% 70.89/10.89  % (3767388)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=393485925:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2968 on theBenchmark for (2968ds/303Mi)
% 70.89/10.89  % (3767375)Instruction limit reached! 
% 70.89/10.89  % (3767375)------------------------------
% 70.89/10.89  % (3767375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.89/10.89  % (3767375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.89/10.89  % (3767375)CaDiCaL version: 2.1.3
% 70.89/10.89  % (3767375)Termination reason: Instruction limit
% 70.89/10.89  % (3767375)Termination phase: Saturation
% 70.89/10.89  % (3767375)Time elapsed: 1.988 s
% 70.89/10.89  % (3767375)Peak memory usage: 164 MB
% 70.89/10.89  % (3767375)Instructions burned: 3258 (million)
% 70.89/10.89  % (3767388)Instruction limit reached! 
% 70.89/10.89  % (3767388)------------------------------
% 70.89/10.89  % (3767388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.89/10.89  % (3767388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.89/10.89  % (3767388)CaDiCaL version: 2.1.3
% 70.89/10.89  % (3767388)Termination reason: Instruction limit
% 70.89/10.89  % (3767388)Termination phase: Saturation
% 70.89/10.89  % (3767388)Time elapsed: 0.097 s
% 70.89/10.89  % (3767388)Peak memory usage: 94 MB
% 70.89/10.89  % (3767388)Instructions burned: 304 (million)
% 70.89/10.89  % (3767391)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=964421468:i=598:bs=on:bd=preordered:av=off:ss=axioms_2966 on theBenchmark for (2966ds/598Mi)
% 70.89/10.89  % (3767390)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=520538202:st=4:i=720:sd=3:fsr=off:ss=axioms_2966 on theBenchmark for (2966ds/720Mi)
% 70.89/10.89  % (3767391)Instruction limit reached! 
% 70.89/10.89  % (3767391)------------------------------
% 70.89/10.89  % (3767391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.89/10.89  % (3767391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.89/10.89  % (3767391)CaDiCaL version: 2.1.3
% 70.89/10.89  % (3767391)Termination reason: Instruction limit
% 70.89/10.89  % (3767391)Termination phase: Saturation
% 70.89/10.89  % (3767391)Time elapsed: 0.193 s
% 70.89/10.89  % (3767391)Peak memory usage: 97 MB
% 70.89/10.89  % (3767391)Instructions burned: 598 (million)
% 70.89/10.89  % (3767394)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2339007400:i=2989:sd=3:ss=axioms:sgt=60_2963 on theBenchmark for (2963ds/2989Mi)
% 70.89/10.89  % (3767390)Instruction limit reached! 
% 70.89/10.89  % (3767390)------------------------------
% 70.89/10.89  % (3767390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.89/10.89  % (3767390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.89/10.89  % (3767390)CaDiCaL version: 2.1.3
% 70.89/10.89  % (3767390)Termination reason: Instruction limit
% 70.89/10.89  % (3767390)Termination phase: Saturation
% 70.89/10.89  % (3767390)Time elapsed: 0.424 s
% 70.89/10.89  % (3767390)Peak memory usage: 99 MB
% 70.89/10.89  % (3767390)Instructions burned: 720 (million)
% 70.89/10.89  % (3767396)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=3175045680:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2961 on theBenchmark for (2961ds/1997Mi)
% 70.89/10.89  % (3767394)Instruction limit reached! 
% 70.89/10.89  % (3767394)------------------------------
% 68.85/15.71  % (3767394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767394)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767394)Termination reason: Instruction limit
% 68.85/15.71  % (3767394)Termination phase: Saturation
% 68.85/15.71  % (3767394)Time elapsed: 0.994 s
% 68.85/15.71  % (3767394)Peak memory usage: 147 MB
% 68.85/15.71  % (3767394)Instructions burned: 2991 (million)
% 68.85/15.71  % (3767398)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=2329878596:i=2088:bd=preordered:av=off_2952 on theBenchmark for (2952ds/2088Mi)
% 68.85/15.71  % (3767396)Instruction limit reached! 
% 68.85/15.71  % (3767396)------------------------------
% 68.85/15.71  % (3767396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767396)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767396)Termination reason: Instruction limit
% 68.85/15.71  % (3767396)Termination phase: Saturation
% 68.85/15.71  % (3767396)Time elapsed: 1.201 s
% 68.85/15.71  % (3767396)Peak memory usage: 160 MB
% 68.85/15.71  % (3767396)Instructions burned: 1997 (million)
% 68.85/15.71  % (3767400)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=983157501:i=1098:nicw=on_2947 on theBenchmark for (2947ds/1098Mi)
% 68.85/15.71  % (3767398)Instruction limit reached! 
% 68.85/15.71  % (3767398)------------------------------
% 68.85/15.71  % (3767398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767398)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767398)Termination reason: Instruction limit
% 68.85/15.71  % (3767398)Termination phase: Saturation
% 68.85/15.71  % (3767398)Time elapsed: 0.717 s
% 68.85/15.71  % (3767398)Peak memory usage: 160 MB
% 68.85/15.71  % (3767398)Instructions burned: 2090 (million)
% 68.85/15.71  % (3767402)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=2377106792:i=433:bd=preordered_2944 on theBenchmark for (2944ds/433Mi)
% 68.85/15.71  % (3767402)Instruction limit reached! 
% 68.85/15.71  % (3767402)------------------------------
% 68.85/15.71  % (3767402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767402)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767402)Termination reason: Instruction limit
% 68.85/15.71  % (3767402)Termination phase: Saturation
% 68.85/15.71  % (3767402)Time elapsed: 0.145 s
% 68.85/15.71  % (3767402)Peak memory usage: 95 MB
% 68.85/15.71  % (3767402)Instructions burned: 435 (million)
% 68.85/15.71  % (3767404)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=738228712:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2941 on theBenchmark for (2941ds/2942Mi)
% 68.85/15.71  % (3767400)Instruction limit reached! 
% 68.85/15.71  % (3767400)------------------------------
% 68.85/15.71  % (3767400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767400)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767400)Termination reason: Instruction limit
% 68.85/15.71  % (3767400)Termination phase: Saturation
% 68.85/15.71  % (3767400)Time elapsed: 0.626 s
% 68.85/15.71  % (3767400)Peak memory usage: 106 MB
% 68.85/15.71  % (3767400)Instructions burned: 1098 (million)
% 68.85/15.71  % (3767406)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=769556353:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2940 on theBenchmark for (2940ds/6922Mi)
% 68.85/15.71  % (3767404)Instruction limit reached! 
% 68.85/15.71  % (3767404)------------------------------
% 68.85/15.71  % (3767404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767404)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767404)Termination reason: Instruction limit
% 68.85/15.71  % (3767404)Termination phase: Saturation
% 68.85/15.71  % (3767404)Time elapsed: 1.038 s
% 68.85/15.71  % (3767404)Peak memory usage: 158 MB
% 68.85/15.71  % (3767404)Instructions burned: 2945 (million)
% 68.85/15.71  % (3767408)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=202930560:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2930 on theBenchmark for (2930ds/596Mi)
% 68.85/15.71  % (3767408)Instruction limit reached! 
% 68.85/15.71  % (3767408)------------------------------
% 68.85/15.71  % (3767408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767408)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767408)Termination reason: Instruction limit
% 68.85/15.71  % (3767408)Termination phase: Saturation
% 68.85/15.71  % (3767408)Time elapsed: 0.181 s
% 68.85/15.71  % (3767408)Peak memory usage: 97 MB
% 68.85/15.71  % (3767408)Instructions burned: 599 (million)
% 68.85/15.71  % (3767410)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3554600044:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2927 on theBenchmark for (2927ds/4123Mi)
% 68.85/15.71  % (3767386)Instruction limit reached! 
% 68.85/15.71  % (3767386)------------------------------
% 68.85/15.71  % (3767386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767386)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767386)Termination reason: Instruction limit
% 68.85/15.71  % (3767386)Termination phase: Saturation
% 68.85/15.71  % (3767386)Time elapsed: 5.198 s
% 68.85/15.71  % (3767386)Peak memory usage: 204 MB
% 68.85/15.71  % (3767386)Instructions burned: 8478 (million)
% 68.85/15.71  % (3767412)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=405945694:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2921 on theBenchmark for (2921ds/16411Mi)
% 68.85/15.71  % (3767382)Instruction limit reached! 
% 68.85/15.71  % (3767382)------------------------------
% 68.85/15.71  % (3767382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767382)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767382)Termination reason: Instruction limit
% 68.85/15.71  % (3767382)Termination phase: Saturation
% 68.85/15.71  % (3767382)Time elapsed: 6.587 s
% 68.85/15.71  % (3767382)Peak memory usage: 184 MB
% 68.85/15.71  % (3767382)Instructions burned: 10309 (million)
% 68.85/15.71  % (3767414)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1983322190:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2912 on theBenchmark for (2912ds/1670Mi)
% 68.85/15.71  % (3767410)Instruction limit reached! 
% 68.85/15.71  % (3767410)------------------------------
% 68.85/15.71  % (3767410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767410)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767410)Termination reason: Instruction limit
% 68.85/15.71  % (3767410)Termination phase: Saturation
% 68.85/15.71  % (3767410)Time elapsed: 2.159 s
% 68.85/15.71  % (3767410)Peak memory usage: 167 MB
% 68.85/15.71  % (3767410)Instructions burned: 4124 (million)
% 68.85/15.71  % (3767416)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=3540462503:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2904 on theBenchmark for (2904ds/1722Mi)
% 68.85/15.71  % (3767414)Instruction limit reached! 
% 68.85/15.71  % (3767414)------------------------------
% 68.85/15.71  % (3767414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767414)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767414)Termination reason: Instruction limit
% 68.85/15.71  % (3767414)Termination phase: Saturation
% 68.85/15.71  % (3767414)Time elapsed: 0.980 s
% 68.85/15.71  % (3767414)Peak memory usage: 153 MB
% 68.85/15.71  % (3767414)Instructions burned: 1671 (million)
% 68.85/15.71  % (3767418)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=434894267:cts=off:cond=on:i=9530:bs=on:fsd=on_2901 on theBenchmark for (2901ds/9530Mi)
% 68.85/15.71  % (3767406)Instruction limit reached! 
% 68.85/15.71  % (3767406)------------------------------
% 68.85/15.71  % (3767406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767406)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767406)Termination reason: Instruction limit
% 68.85/15.71  % (3767406)Termination phase: Saturation
% 68.85/15.71  % (3767406)Time elapsed: 4.084 s
% 68.85/15.71  % (3767406)Peak memory usage: 185 MB
% 68.85/15.71  % (3767406)Instructions burned: 6922 (million)
% 68.85/15.71  % (3767420)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=363463590:st=2:i=4495:sd=10:ss=included_2897 on theBenchmark for (2897ds/4495Mi)
% 68.85/15.71  % (3767416)Instruction limit reached! 
% 68.85/15.71  % (3767416)------------------------------
% 68.85/15.71  % (3767416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767416)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767416)Termination reason: Instruction limit
% 68.85/15.71  % (3767416)Termination phase: Saturation
% 68.85/15.71  % (3767416)Time elapsed: 1.116 s
% 68.85/15.71  % (3767416)Peak memory usage: 138 MB
% 68.85/15.71  % (3767416)Instructions burned: 1722 (million)
% 68.85/15.71  % (3767422)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=2496234508:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2892 on theBenchmark for (2892ds/4920Mi)
% 68.85/15.71  % (3767420)Instruction limit reached! 
% 68.85/15.71  % (3767420)------------------------------
% 68.85/15.71  % (3767420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767420)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767420)Termination reason: Instruction limit
% 68.85/15.71  % (3767420)Termination phase: Saturation
% 68.85/15.71  % (3767420)Time elapsed: 2.747 s
% 68.85/15.71  % (3767420)Peak memory usage: 163 MB
% 68.85/15.71  % (3767420)Instructions burned: 4496 (million)
% 68.85/15.71  % (3767425)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:lcm=reverse:bce=on:bsr=unit_only:random_seed=900198447:cts=off:cond=on:i=2083:s2at=-1:fgj=on:av=off_2868 on theBenchmark for (2868ds/2083Mi)
% 68.85/15.71  % (3767422)Instruction limit reached! 
% 68.85/15.71  % (3767422)------------------------------
% 68.85/15.71  % (3767422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767422)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767422)Termination reason: Instruction limit
% 68.85/15.71  % (3767422)Termination phase: Saturation
% 68.85/15.71  % (3767422)Time elapsed: 3.107 s
% 68.85/15.71  % (3767422)Peak memory usage: 168 MB
% 68.85/15.71  % (3767422)Instructions burned: 4920 (million)
% 68.85/15.71  % (3767427)lrs+31_1_to=lpo:ncem=casc2026/models/loop2.pt:sil=16000:npcc=on:sp=weighted_frequency:sos=all:spb=units:lcm=predicate:bsr=on:gs=on:random_seed=606545172:i=4629:av=off:gsp=on_2859 on theBenchmark for (2859ds/4629Mi)
% 68.85/15.71  % (3767425)Instruction limit reached! 
% 68.85/15.71  % (3767425)------------------------------
% 68.85/15.71  % (3767425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.85/15.71  % (3767425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.85/15.71  % (3767425)CaDiCaL version: 2.1.3
% 68.85/15.71  % (3767425)Termination reason: Instruction limit
% 68.85/15.71  % (3767425)Termination phase: Saturation
% 68.85/15.71  % (3767425)Time elapsed: 1.339 s
% 68.85/15.71  % (3767425)Peak memory usage: 157 MB
% 68.85/15.71  % (3767425)Instructions burned: 2083 (million)
% 68.85/15.71  % (3767332)First to succeed.
% 68.85/15.71  % (3767429)dis+10_64_sil=16000:tgt=full:plsq=on:prc=on:drc=off:plsqc=2:plsqr=32,1:spb=goal:random_seed=2940444659:i=1258:av=off_2854 on theBenchmark for (2854ds/1258Mi)
% 68.85/15.71  % (3767332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3767325"
% 68.85/15.71  % (3767332)Refutation found. Thanks to Tanya!
% 68.85/15.71  % SZS status Unsatisfiable for theBenchmark
% 68.85/15.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/15.91  % (3767332)------------------------------
% 0.20/15.91  % (3767332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/15.91  % (3767332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/15.91  % (3767332)CaDiCaL version: 2.1.3
% 0.20/15.91  % (3767332)Termination reason: Refutation
% 0.20/15.91  % (3767332)Time elapsed: 14.505 s
% 0.20/15.91  % (3767332)Peak memory usage: 225 MB
% 0.20/15.91  % (3767332)Instructions burned: 21576 (million)
% 0.20/15.91  % (3767332)------------------------------
% 0.20/15.91  % (3767332)------------------------------
% 0.20/15.91  % (3767325)Success in time 15.036 s
% 0.20/15.91  % Vampire exiting
%------------------------------------------------------------------------------