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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV735-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:19:22 PM UTC 2026

% Result   : Unsatisfiable 57.26s 10.04s
% Output   : Refutation 66.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  115 (  33 unt;   7 def)
%            Number of atoms       :  294 (  69 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  319 ( 140   ~; 172   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   8 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  13 con; 0-3 aty)
%            Number of variables   :  111 (   0 sgn 111   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f323,axiom,
    ! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).

fof(f344,axiom,
    ! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).

fof(f489,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).

fof(f556,axiom,
    ! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).

fof(f563,axiom,
    ! [X0,X1] : c_Message_Omsg_OAgent(X0) != hAPP(c_Message_Omsg_OKey,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).

fof(f564,plain,
    ! [X0,X1] : hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X0),
    inference(reorient_equations,[],[f563]) ).

fof(f565,axiom,
    ! [X0,X1] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_ONonce(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).

fof(f566,axiom,
    ! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).

fof(f573,axiom,
    ! [X0,X1] : ~ c_in(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

fof(f587,axiom,
    ! [X2,X0,X1] : c_Message_Omsg_OCrypt(X0,X1) != hAPP(c_Message_Omsg_OKey,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).

fof(f590,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_Set_Oinsert(X3,X1,X2),X2)
      | X0 = X3
      | c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insertE_0) ).

fof(f604,axiom,
    ! [X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X0),X1,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).

fof(f605,axiom,
    ! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).

fof(f607,axiom,
    ! [X0,X1] :
      ( hAPP(c_Message_Omsg_OKey,X0) != hAPP(c_Message_Omsg_OKey,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).

fof(f629,axiom,
    ! [X2,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_1) ).

fof(f633,axiom,
    ! [X2,X3,X0,X1] : c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).

fof(f643,axiom,
    ! [X2,X0,X1] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).

fof(f655,axiom,
    c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__empty_0) ).

fof(f656,plain,
    c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),
    inference(reorient_equations,[],[f655]) ).

fof(f660,axiom,
    ! [X2,X0,X1] : hAPP(c_Message_Omsg_OKey,X0) != c_Message_Omsg_OMPair(X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).

fof(f674,negated_conjecture,
    c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f675,negated_conjecture,
    v_K != v_KABa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f676,plain,
    v_KABa != v_K,
    inference(reorient_equations,[],[f675]) ).

fof(f677,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f678,negated_conjecture,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f682,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | v_X = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))
    | v_X = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).

fof(f745,definition,
    ( spl0_1
  <=> v_X = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))))) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f747,plain,
    ( v_X = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f749,definition,
    ( spl0_2
  <=> v_X = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f751,plain,
    ( v_X = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f753,definition,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f756,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f682,f753,f749,f745]) ).

fof(f769,definition,
    ( spl0_6
  <=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f770,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f769]) ).

fof(f773,definition,
    ( spl0_7
  <=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f774,plain,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f776,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f678,f773,f769,f753]) ).

fof(f777,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f677,f773]) ).

fof(f778,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f674,f769]) ).

fof(f797,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_6 ),
    inference(resolution,[],[f770,f489]) ).

fof(f801,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f797,f344]) ).

fof(f802,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f801,f323]) ).

fof(f803,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
        | c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f802,f556]) ).

fof(f1005,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(resolution,[],[f629,f803]) ).

fof(f1196,plain,
    ( ! [X0] : c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)) = c_Set_Oinsert(v_X,c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(superposition,[],[f605,f751]) ).

fof(f1212,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_OMPair(X0,X1) = X3
      | c_in(X3,c_Message_Oparts(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(superposition,[],[f590,f605]) ).

fof(f1222,plain,
    ( ! [X0] : c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)) = c_Set_Oinsert(v_X,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),X0,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1196,f556]) ).

fof(f1225,plain,
    ( ! [X0] : c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)) = c_Set_Oinsert(v_X,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1222,f604]) ).

fof(f1226,plain,
    ( ! [X0] : c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)) = c_Set_Oinsert(v_X,c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1225,f633]) ).

fof(f1236,plain,
    ( ! [X0,X1] :
        ( c_in(X1,c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
        | v_X = X1
        | ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_X,X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_2 ),
    inference(superposition,[],[f590,f1226]) ).

fof(f1353,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(X1),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Omsg_OAgent(v_A) = X0
        | v_X = X0 )
    | ~ spl0_2 ),
    inference(resolution,[],[f1236,f590]) ).

fof(f1574,plain,
    ( ! [X0] : hAPP(c_Message_Omsg_OKey,X0) != v_X
    | ~ spl0_2 ),
    inference(superposition,[],[f660,f751]) ).

fof(f1865,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | c_Message_Omsg_OAgent(v_A) = X0
        | v_X = X0
        | hAPP(c_Message_Omsg_OKey,v_KABa) = X0
        | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) )
    | ~ spl0_2 ),
    inference(resolution,[],[f1353,f590]) ).

fof(f2087,plain,
    ( c_Message_Omsg_OAgent(v_A) = hAPP(c_Message_Omsg_OKey,v_K)
    | hAPP(c_Message_Omsg_OKey,v_K) = v_X
    | hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f1865,f770]) ).

fof(f2106,plain,
    ( hAPP(c_Message_Omsg_OKey,v_K) = v_X
    | hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2087,f564]) ).

fof(f2109,plain,
    ( hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
    | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2106,f1574]) ).

fof(f2112,definition,
    ( spl0_10
  <=> ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f2113,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f2112]) ).

fof(f2115,definition,
    ( spl0_11
  <=> hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f2116,plain,
    ( hAPP(c_Message_Omsg_OKey,v_KABa) != hAPP(c_Message_Omsg_OKey,v_K)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f2115]) ).

fof(f2117,plain,
    ( hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f2115]) ).

fof(f2119,plain,
    ( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
    | hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f2109,f656]) ).

fof(f2121,plain,
    ( hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2119,f573]) ).

fof(f2122,plain,
    ( spl0_11
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f2121,f769,f749,f2115]) ).

fof(f2204,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,X0) != hAPP(c_Message_Omsg_OKey,v_KABa)
        | v_K = X0 )
    | ~ spl0_11 ),
    inference(superposition,[],[f607,f2117]) ).

fof(f2224,plain,
    ( v_KABa = v_K
    | ~ spl0_11 ),
    inference(equality_resolution,[],[f2204]) ).

fof(f2225,plain,
    ( $false
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f2224,f676]) ).

fof(f2226,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f2225]) ).

fof(f2429,plain,
    ( ! [X0] : hAPP(c_Message_Omsg_OKey,X0) != v_X
    | ~ spl0_1 ),
    inference(superposition,[],[f660,f747]) ).

fof(f2430,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | v_X = X0
        | c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))),X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1 ),
    inference(superposition,[],[f1212,f747]) ).

fof(f2433,plain,
    ( ! [X0,X1] :
        ( c_in(X0,c_Set_Oinsert(c_Message_Omsg_ONonce(v_NA),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))),X1,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
        | ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | v_X = X0 )
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f2430,f566]) ).

fof(f2660,plain,
    ( ! [X0,X1] :
        ( ~ c_in(X0,c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg)),tc_Message_Omsg)
        | v_X = X0
        | c_Message_Omsg_ONonce(v_NA) = X0
        | c_in(X0,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))),X1,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1 ),
    inference(resolution,[],[f2433,f590]) ).

fof(f3413,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_K) = v_X
        | c_Message_Omsg_ONonce(v_NA) = hAPP(c_Message_Omsg_OKey,v_K)
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))),X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f2660,f1005]) ).

fof(f3433,plain,
    ( ! [X0] :
        ( c_Message_Omsg_ONonce(v_NA) = hAPP(c_Message_Omsg_OKey,v_K)
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))),X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3413,f2429]) ).

fof(f3436,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))),X0,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3433,f565]) ).

fof(f3460,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_K) = c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))))
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f3436,f1212]) ).

fof(f3484,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3460,f660]) ).

fof(f3487,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(c_Message_Omsg_OAgent(v_B),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))),X0,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3484,f604]) ).

fof(f3489,plain,
    ( ! [X0] :
        ( c_Message_Omsg_OAgent(v_B) = hAPP(c_Message_Omsg_OKey,v_K)
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))),X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f3487,f590]) ).

fof(f3501,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))),X0,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3489,f564]) ).

fof(f3505,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_K) = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))))
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f3501,f1212]) ).

fof(f3529,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3505,f660]) ).

fof(f3532,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))),X0,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f3529,f556]) ).

fof(f3675,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))),X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f3532,f590]) ).

fof(f3686,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))),X0,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f3675,f2116]) ).

fof(f3835,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X3,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)),tc_Message_Omsg)
      | c_Message_Omsg_OCrypt(X0,X1) = X3
      | c_in(X3,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(superposition,[],[f590,f643]) ).

fof(f3866,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_K) = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)))
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)),X0,tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(resolution,[],[f3835,f3686]) ).

fof(f3884,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A)),X0,tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f3866,f587]) ).

fof(f3885,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_K) = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Omsg_OAgent(v_A))
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(resolution,[],[f3884,f1212]) ).

fof(f3909,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),X0,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f3885,f660]) ).

fof(f3912,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),X0,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_demodulation,[],[f3909,f556]) ).

fof(f3913,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_demodulation,[],[f3912,f604]) ).

fof(f3914,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(c_Message_Omsg_OAgent(v_A),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_demodulation,[],[f3913,f633]) ).

fof(f3915,plain,
    ( ! [X0] :
        ( c_Message_Omsg_OAgent(v_A) = hAPP(c_Message_Omsg_OKey,v_K)
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(resolution,[],[f3914,f590]) ).

fof(f3930,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_KABa),c_Message_Oparts(X0),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f3915,f564]) ).

fof(f3934,plain,
    ( ! [X0] :
        ( hAPP(c_Message_Omsg_OKey,v_KABa) = hAPP(c_Message_Omsg_OKey,v_K)
        | c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg) )
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(resolution,[],[f3930,f590]) ).

fof(f3949,plain,
    ( ! [X0] : c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(X0),tc_Message_Omsg)
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f3934,f2116]) ).

fof(f3951,plain,
    ( spl0_10
    | ~ spl0_1
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f3949,f2115,f769,f745,f2112]) ).

fof(f3952,plain,
    ( $false
    | spl0_7
    | ~ spl0_10 ),
    inference(resolution,[],[f2113,f774]) ).

fof(f3979,plain,
    ( spl0_7
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f3952]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f756]) ).

cnf(s5,plain,
    ( ~ spl0_3
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s6,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f777]) ).

cnf(s7,plain,
    spl0_6,
    inference(sat_conversion,[],[f778]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_11 ),
    inference(sat_conversion,[],[f2122]) ).

cnf(s13,plain,
    ~ spl0_11,
    inference(sat_conversion,[],[f2226]) ).

cnf(s16,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f3951]) ).

cnf(s17,plain,
    ( spl0_7
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f3979]) ).

cnf(s18,plain,
    ( ~ spl0_2
    | ~ spl0_6 ),
    inference(rat,[],[s10,s13]) ).

cnf(s20,plain,
    ~ spl0_2,
    inference(rat,[],[s18,s7]) ).

cnf(s21,plain,
    ~ spl0_10,
    inference(rat,[],[s17,s6]) ).

cnf(s22,plain,
    ~ spl0_1,
    inference(rat,[],[s16,s13,s7,s21]) ).

cnf(s23,plain,
    ~ spl0_3,
    inference(rat,[],[s5,s6,s7]) ).

cnf(s27,plain,
    $false,
    inference(rat,[],[s1,s23,s20,s22]) ).

fof(f4058,plain,
    $false,
    inference(avatar_sat_refutation,[],[s27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV735-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n014.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 12:23:30 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  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
% 10.96/2.29  % (1746103)Input is clausal, will run a generic CNF schedule.
% 10.96/2.29  % (1746112)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=640289085:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.96/2.29  % (1746112)Instruction limit reached! 
% 10.96/2.29  % (1746112)------------------------------
% 10.96/2.29  % (1746112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.29  % (1746112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.29  % (1746112)CaDiCaL version: 2.1.3
% 10.96/2.29  % (1746112)Termination reason: Instruction limit
% 10.96/2.29  % (1746112)Termination phase: Saturation
% 10.96/2.29  % (1746112)Time elapsed: 0.042 s
% 10.96/2.29  % (1746112)Peak memory usage: 90 MB
% 10.96/2.29  % (1746112)Instructions burned: 116 (million)
% 10.96/2.29  % (1746108)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=1219229509:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.96/2.29  % (1746110)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=215676783:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.96/2.29  % (1746109)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2435931044:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.96/2.29  % (1746111)lrs+10_1_sil=8000:sp=occurrence:random_seed=2739685883:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.96/2.29  % (1746113)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4002213253:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.96/2.29  % (1746114)dis-21_1_sil=8000:lcm=predicate:random_seed=3537955175:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.96/2.29  % (1746111)Instruction limit reached! 
% 10.96/2.29  % (1746111)------------------------------
% 10.96/2.29  % (1746111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.29  % (1746111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.29  % (1746111)CaDiCaL version: 2.1.3
% 10.96/2.29  % (1746111)Termination reason: Instruction limit
% 10.96/2.29  % (1746111)Termination phase: Saturation
% 10.96/2.29  % (1746111)Time elapsed: 0.073 s
% 10.96/2.29  % (1746111)Peak memory usage: 89 MB
% 10.96/2.29  % (1746111)Instructions burned: 107 (million)
% 10.96/2.29  % (1746114)Instruction limit reached! 
% 10.96/2.29  % (1746114)------------------------------
% 10.96/2.29  % (1746114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.29  % (1746114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.29  % (1746114)CaDiCaL version: 2.1.3
% 10.96/2.29  % (1746114)Termination reason: Instruction limit
% 10.96/2.29  % (1746114)Termination phase: Saturation
% 10.96/2.29  % (1746114)Time elapsed: 0.065 s
% 10.96/2.29  % (1746114)Peak memory usage: 89 MB
% 10.96/2.29  % (1746114)Instructions burned: 117 (million)
% 10.96/2.29  % (1746120)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=2661854639:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.96/2.29  % (1746113)Instruction limit reached! 
% 10.96/2.29  % (1746113)------------------------------
% 10.96/2.29  % (1746113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.29  % (1746113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.29  % (1746113)CaDiCaL version: 2.1.3
% 10.96/2.29  % (1746113)Termination reason: Instruction limit
% 10.96/2.29  % (1746113)Termination phase: Saturation
% 10.96/2.29  % (1746113)Time elapsed: 0.124 s
% 10.96/2.29  % (1746113)Peak memory usage: 90 MB
% 10.96/2.29  % (1746113)Instructions burned: 180 (million)
% 10.96/2.29  % (1746120)Instruction limit reached! 
% 10.96/2.29  % (1746120)------------------------------
% 10.96/2.29  % (1746120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.29  % (1746120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.29  % (1746120)CaDiCaL version: 2.1.3
% 10.96/2.29  % (1746120)Termination reason: Instruction limit
% 10.96/2.29  % (1746120)Termination phase: Saturation
% 10.96/2.29  % (1746120)Time elapsed: 0.049 s
% 10.96/2.29  % (1746120)Peak memory usage: 89 MB
% 10.96/2.29  % (1746120)Instructions burned: 146 (million)
% 10.96/2.29  % (1746123)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3955009770: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)
% 19.40/3.46  % (1746124)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=914431674:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.40/3.46  % (1746127)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3271134979:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 19.40/3.46  % (1746126)lrs+10_64_to=lpo:sil=8000:random_seed=639771285:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 19.40/3.46  % (1746123)Instruction limit reached! 
% 19.40/3.46  % (1746123)------------------------------
% 19.40/3.46  % (1746123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.40/3.46  % (1746123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.40/3.46  % (1746123)CaDiCaL version: 2.1.3
% 19.40/3.46  % (1746123)Termination reason: Instruction limit
% 19.40/3.46  % (1746123)Termination phase: Saturation
% 19.40/3.46  % (1746123)Time elapsed: 0.105 s
% 19.40/3.46  % (1746123)Peak memory usage: 91 MB
% 19.40/3.46  % (1746123)Instructions burned: 190 (million)
% 19.40/3.46  % (1746127)Instruction limit reached! 
% 19.40/3.46  % (1746127)------------------------------
% 19.40/3.46  % (1746127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.40/3.46  % (1746127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.40/3.46  % (1746127)CaDiCaL version: 2.1.3
% 19.40/3.46  % (1746127)Termination reason: Instruction limit
% 19.40/3.46  % (1746127)Termination phase: Saturation
% 19.40/3.46  % (1746127)Time elapsed: 0.068 s
% 19.40/3.46  % (1746127)Peak memory usage: 91 MB
% 19.40/3.46  % (1746127)Instructions burned: 194 (million)
% 19.40/3.46  % (1746126)Instruction limit reached! 
% 19.40/3.46  % (1746126)------------------------------
% 19.40/3.46  % (1746126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.40/3.46  % (1746126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.40/3.46  % (1746126)CaDiCaL version: 2.1.3
% 19.40/3.46  % (1746126)Termination reason: Instruction limit
% 19.40/3.46  % (1746126)Termination phase: Saturation
% 19.40/3.46  % (1746126)Time elapsed: 0.080 s
% 19.40/3.46  % (1746126)Peak memory usage: 90 MB
% 19.40/3.46  % (1746126)Instructions burned: 126 (million)
% 19.40/3.46  % (1746124)Instruction limit reached! 
% 19.40/3.46  % (1746124)------------------------------
% 19.40/3.46  % (1746124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.40/3.46  % (1746124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.40/3.46  % (1746124)CaDiCaL version: 2.1.3
% 19.40/3.46  % (1746124)Termination reason: Instruction limit
% 19.40/3.46  % (1746124)Termination phase: Saturation
% 19.40/3.46  % (1746124)Time elapsed: 0.136 s
% 19.40/3.46  % (1746124)Peak memory usage: 91 MB
% 19.40/3.46  % (1746124)Instructions burned: 219 (million)
% 19.40/3.46  % (1746133)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1390349133:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 19.40/3.46  % (1746132)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4131279484:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 19.40/3.46  % (1746134)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=1213405900:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.40/3.46  % (1746135)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1191761059:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 19.40/3.46  % (1746134)Instruction limit reached! 
% 19.40/3.46  % (1746134)------------------------------
% 19.40/3.46  % (1746134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.40/3.46  % (1746134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.40/3.46  % (1746134)CaDiCaL version: 2.1.3
% 19.40/3.46  % (1746134)Termination reason: Instruction limit
% 19.40/3.46  % (1746134)Termination phase: Saturation
% 19.40/3.46  % (1746134)Time elapsed: 0.060 s
% 19.40/3.46  % (1746134)Peak memory usage: 90 MB
% 19.40/3.46  % (1746134)Instructions burned: 107 (million)
% 19.40/3.46  % (1746132)Instruction limit reached! 
% 19.40/3.46  % (1746132)------------------------------
% 19.40/3.46  % (1746132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.28/5.62  % (1746132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.28/5.62  % (1746132)CaDiCaL version: 2.1.3
% 35.28/5.62  % (1746132)Termination reason: Instruction limit
% 35.28/5.62  % (1746132)Termination phase: Saturation
% 35.28/5.62  % (1746132)Time elapsed: 0.107 s
% 35.28/5.62  % (1746132)Peak memory usage: 91 MB
% 35.28/5.62  % (1746132)Instructions burned: 157 (million)
% 35.28/5.62  % (1746135)Instruction limit reached! 
% 35.28/5.62  % (1746135)------------------------------
% 35.28/5.62  % (1746135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.28/5.62  % (1746135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.28/5.62  % (1746135)CaDiCaL version: 2.1.3
% 35.28/5.62  % (1746135)Termination reason: Instruction limit
% 35.28/5.62  % (1746135)Termination phase: Saturation
% 35.28/5.62  % (1746135)Time elapsed: 0.071 s
% 35.28/5.62  % (1746135)Peak memory usage: 90 MB
% 35.28/5.62  % (1746135)Instructions burned: 108 (million)
% 35.28/5.62  % (1746140)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2955011769:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 35.28/5.62  % (1746141)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2950896965:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 35.28/5.62  % (1746142)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=710662135:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 35.28/5.62  % (1746142)Instruction limit reached! 
% 35.28/5.62  % (1746142)------------------------------
% 35.28/5.62  % (1746142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.28/5.62  % (1746142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.28/5.62  % (1746142)CaDiCaL version: 2.1.3
% 35.28/5.62  % (1746142)Termination reason: Instruction limit
% 35.28/5.62  % (1746142)Termination phase: Saturation
% 35.28/5.62  % (1746142)Time elapsed: 0.063 s
% 35.28/5.62  % (1746142)Peak memory usage: 89 MB
% 35.28/5.62  % (1746142)Instructions burned: 136 (million)
% 35.28/5.62  % (1746140)Instruction limit reached! 
% 35.28/5.62  % (1746140)------------------------------
% 35.28/5.62  % (1746140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.28/5.62  % (1746140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.28/5.62  % (1746140)CaDiCaL version: 2.1.3
% 35.28/5.62  % (1746140)Termination reason: Instruction limit
% 35.28/5.62  % (1746140)Termination phase: Saturation
% 35.28/5.62  % (1746140)Time elapsed: 0.148 s
% 35.28/5.62  % (1746140)Peak memory usage: 89 MB
% 35.28/5.62  % (1746140)Instructions burned: 242 (million)
% 35.28/5.62  % (1746146)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1008548649:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 35.28/5.62  % (1746147)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4247680369:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 35.28/5.62  % (1746147)Instruction limit reached! 
% 35.28/5.62  % (1746147)------------------------------
% 35.28/5.62  % (1746147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.28/5.62  % (1746147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.28/5.62  % (1746147)CaDiCaL version: 2.1.3
% 35.28/5.62  % (1746147)Termination reason: Instruction limit
% 35.28/5.62  % (1746147)Termination phase: Saturation
% 35.28/5.62  % (1746147)Time elapsed: 0.126 s
% 35.28/5.62  % (1746147)Peak memory usage: 92 MB
% 35.28/5.62  % (1746147)Instructions burned: 191 (million)
% 35.28/5.62  % (1746146)Instruction limit reached! 
% 35.28/5.62  % (1746146)------------------------------
% 35.28/5.62  % (1746146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.28/5.62  % (1746146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.28/5.62  % (1746146)CaDiCaL version: 2.1.3
% 35.28/5.62  % (1746146)Termination reason: Instruction limit
% 35.28/5.62  % (1746146)Termination phase: Saturation
% 35.28/5.62  % (1746146)Time elapsed: 0.304 s
% 35.28/5.62  % (1746146)Peak memory usage: 96 MB
% 35.28/5.62  % (1746146)Instructions burned: 501 (million)
% 35.28/5.62  % (1746150)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3800982626:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 35.28/5.62  % (1746151)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1515750461:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 51.61/7.91  % (1746150)Instruction limit reached! 
% 51.61/7.91  % (1746150)------------------------------
% 51.61/7.91  % (1746150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.61/7.91  % (1746150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.61/7.91  % (1746150)CaDiCaL version: 2.1.3
% 51.61/7.91  % (1746150)Termination reason: Instruction limit
% 51.61/7.91  % (1746150)Termination phase: Saturation
% 51.61/7.91  % (1746150)Time elapsed: 0.168 s
% 51.61/7.91  % (1746150)Peak memory usage: 92 MB
% 51.61/7.91  % (1746150)Instructions burned: 264 (million)
% 51.61/7.91  % (1746151)Instruction limit reached! 
% 51.61/7.91  % (1746151)------------------------------
% 51.61/7.91  % (1746151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.61/7.91  % (1746151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.61/7.91  % (1746151)CaDiCaL version: 2.1.3
% 51.61/7.91  % (1746151)Termination reason: Instruction limit
% 51.61/7.91  % (1746151)Termination phase: Saturation
% 51.61/7.91  % (1746151)Time elapsed: 0.103 s
% 51.61/7.91  % (1746151)Peak memory usage: 90 MB
% 51.61/7.91  % (1746151)Instructions burned: 157 (million)
% 51.61/7.91  % (1746154)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=1848602953:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 51.61/7.91  % (1746155)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2868402131:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 51.61/7.91  % (1746133)Instruction limit reached! 
% 51.61/7.91  % (1746133)------------------------------
% 51.61/7.91  % (1746133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.61/7.91  % (1746133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.61/7.91  % (1746133)CaDiCaL version: 2.1.3
% 51.61/7.91  % (1746133)Termination reason: Instruction limit
% 51.61/7.91  % (1746133)Termination phase: Saturation
% 51.61/7.91  % (1746133)Time elapsed: 1.514 s
% 51.61/7.91  % (1746133)Peak memory usage: 149 MB
% 51.61/7.91  % (1746133)Instructions burned: 3395 (million)
% 51.61/7.91  % (1746155)Instruction limit reached! 
% 51.61/7.91  % (1746155)------------------------------
% 51.61/7.91  % (1746155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.61/7.91  % (1746155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.61/7.91  % (1746155)CaDiCaL version: 2.1.3
% 51.61/7.91  % (1746155)Termination reason: Instruction limit
% 51.61/7.91  % (1746155)Termination phase: Saturation
% 51.61/7.91  % (1746155)Time elapsed: 0.274 s
% 51.61/7.91  % (1746155)Peak memory usage: 90 MB
% 51.61/7.91  % (1746155)Instructions burned: 538 (million)
% 51.61/7.91  % (1746158)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2182114937:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 51.61/7.91  % (1746159)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=2365561530:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 51.61/7.91  % (1746158)Instruction limit reached! 
% 51.61/7.91  % (1746158)------------------------------
% 51.61/7.91  % (1746158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.61/7.91  % (1746158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.61/7.91  % (1746158)CaDiCaL version: 2.1.3
% 51.61/7.91  % (1746158)Termination reason: Instruction limit
% 51.61/7.91  % (1746158)Termination phase: Saturation
% 51.61/7.91  % (1746158)Time elapsed: 0.099 s
% 51.61/7.91  % (1746158)Peak memory usage: 90 MB
% 51.61/7.91  % (1746158)Instructions burned: 182 (million)
% 51.61/7.91  % (1746162)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=1296388160:i=412:gtgl=4:gtg=exists_all_2975 on theBenchmark for (2975ds/412Mi)
% 51.61/7.91  % (1746162)Instruction limit reached! 
% 51.61/7.91  % (1746162)------------------------------
% 51.61/7.91  % (1746162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.61/7.91  % (1746162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.61/7.91  % (1746162)CaDiCaL version: 2.1.3
% 51.61/7.91  % (1746162)Termination reason: Instruction limit
% 51.61/7.91  % (1746162)Termination phase: Saturation
% 57.26/10.04  % (1746162)Time elapsed: 0.237 s
% 57.26/10.04  % (1746162)Peak memory usage: 92 MB
% 57.26/10.04  % (1746162)Instructions burned: 412 (million)
% 57.26/10.04  % (1746141)Instruction limit reached! 
% 57.26/10.04  % (1746141)------------------------------
% 57.26/10.04  % (1746141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746141)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746141)Termination reason: Instruction limit
% 57.26/10.04  % (1746141)Termination phase: Saturation
% 57.26/10.04  % (1746141)Time elapsed: 1.983 s
% 57.26/10.04  % (1746141)Peak memory usage: 160 MB
% 57.26/10.04  % (1746141)Instructions burned: 5210 (million)
% 57.26/10.04  % (1746164)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=1715787559:s2pl=no:i=8478:s2at=4:nm=6_2971 on theBenchmark for (2971ds/8478Mi)
% 57.26/10.04  % (1746165)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=768561136:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2970 on theBenchmark for (2970ds/303Mi)
% 57.26/10.04  % (1746165)Instruction limit reached! 
% 57.26/10.04  % (1746165)------------------------------
% 57.26/10.04  % (1746165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746165)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746165)Termination reason: Instruction limit
% 57.26/10.04  % (1746165)Termination phase: Saturation
% 57.26/10.04  % (1746165)Time elapsed: 0.083 s
% 57.26/10.04  % (1746165)Peak memory usage: 92 MB
% 57.26/10.04  % (1746165)Instructions burned: 304 (million)
% 57.26/10.04  % (1746168)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3680778483:st=4:i=720:sd=3:fsr=off:ss=axioms_2968 on theBenchmark for (2968ds/720Mi)
% 57.26/10.04  % (1746168)Instruction limit reached! 
% 57.26/10.04  % (1746168)------------------------------
% 57.26/10.04  % (1746168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746168)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746168)Termination reason: Instruction limit
% 57.26/10.04  % (1746168)Termination phase: Saturation
% 57.26/10.04  % (1746168)Time elapsed: 0.246 s
% 57.26/10.04  % (1746168)Peak memory usage: 95 MB
% 57.26/10.04  % (1746168)Instructions burned: 723 (million)
% 57.26/10.04  % (1746170)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=4157628712:i=598:bs=on:bd=preordered:av=off:ss=axioms_2964 on theBenchmark for (2964ds/598Mi)
% 57.26/10.04  % (1746170)Instruction limit reached! 
% 57.26/10.04  % (1746170)------------------------------
% 57.26/10.04  % (1746170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746170)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746170)Termination reason: Instruction limit
% 57.26/10.04  % (1746170)Termination phase: Saturation
% 57.26/10.04  % (1746170)Time elapsed: 0.188 s
% 57.26/10.04  % (1746170)Peak memory usage: 96 MB
% 57.26/10.04  % (1746170)Instructions burned: 601 (million)
% 57.26/10.04  % (1746154)Instruction limit reached! 
% 57.26/10.04  % (1746154)------------------------------
% 57.26/10.04  % (1746154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746154)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746154)Termination reason: Instruction limit
% 57.26/10.04  % (1746154)Termination phase: Saturation
% 57.26/10.04  % (1746154)Time elapsed: 2.032 s
% 57.26/10.04  % (1746154)Peak memory usage: 150 MB
% 57.26/10.04  % (1746154)Instructions burned: 3256 (million)
% 57.26/10.04  % (1746172)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3367257575:i=2989:sd=3:ss=axioms:sgt=60_2961 on theBenchmark for (2961ds/2989Mi)
% 57.26/10.04  % (1746173)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=3905702377:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2961 on theBenchmark for (2961ds/1997Mi)
% 57.26/10.04  % (1746172)Instruction limit reached! 
% 57.26/10.04  % (1746172)------------------------------
% 57.26/10.04  % (1746172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746172)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746172)Termination reason: Instruction limit
% 57.26/10.04  % (1746172)Termination phase: Saturation
% 57.26/10.04  % (1746172)Time elapsed: 1.019 s
% 57.26/10.04  % (1746172)Peak memory usage: 144 MB
% 57.26/10.04  % (1746172)Instructions burned: 2990 (million)
% 57.26/10.04  % (1746176)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=352446911:i=2088:bd=preordered:av=off_2950 on theBenchmark for (2950ds/2088Mi)
% 57.26/10.04  % (1746173)Instruction limit reached! 
% 57.26/10.04  % (1746173)------------------------------
% 57.26/10.04  % (1746173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746173)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746173)Termination reason: Instruction limit
% 57.26/10.04  % (1746173)Termination phase: Saturation
% 57.26/10.04  % (1746173)Time elapsed: 1.285 s
% 57.26/10.04  % (1746173)Peak memory usage: 139 MB
% 57.26/10.04  % (1746173)Instructions burned: 1998 (million)
% 57.26/10.04  % (1746178)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=625874900:i=1098:nicw=on_2946 on theBenchmark for (2946ds/1098Mi)
% 57.26/10.04  % (1746176)Instruction limit reached! 
% 57.26/10.04  % (1746176)------------------------------
% 57.26/10.04  % (1746176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746176)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746176)Termination reason: Instruction limit
% 57.26/10.04  % (1746176)Termination phase: Saturation
% 57.26/10.04  % (1746176)Time elapsed: 0.687 s
% 57.26/10.04  % (1746176)Peak memory usage: 139 MB
% 57.26/10.04  % (1746176)Instructions burned: 2090 (million)
% 57.26/10.04  % (1746180)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3107742410:i=433:bd=preordered_2942 on theBenchmark for (2942ds/433Mi)
% 57.26/10.04  % (1746180)Instruction limit reached! 
% 57.26/10.04  % (1746180)------------------------------
% 57.26/10.04  % (1746180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746180)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746180)Termination reason: Instruction limit
% 57.26/10.04  % (1746180)Termination phase: Saturation
% 57.26/10.04  % (1746180)Time elapsed: 0.147 s
% 57.26/10.04  % (1746180)Peak memory usage: 94 MB
% 57.26/10.04  % (1746180)Instructions burned: 434 (million)
% 57.26/10.04  % (1746178)Instruction limit reached! 
% 57.26/10.04  % (1746178)------------------------------
% 57.26/10.04  % (1746178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746178)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746178)Termination reason: Instruction limit
% 57.26/10.04  % (1746178)Termination phase: Saturation
% 57.26/10.04  % (1746178)Time elapsed: 0.651 s
% 57.26/10.04  % (1746178)Peak memory usage: 103 MB
% 57.26/10.04  % (1746178)Instructions burned: 1099 (million)
% 57.26/10.04  % (1746182)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=1936010196:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2939 on theBenchmark for (2939ds/2942Mi)
% 57.26/10.04  % (1746183)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=2839053873:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2938 on theBenchmark for (2938ds/6922Mi)
% 57.26/10.04  % (1746182)Instruction limit reached! 
% 57.26/10.04  % (1746182)------------------------------
% 57.26/10.04  % (1746182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746182)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746182)Termination reason: Instruction limit
% 57.26/10.04  % (1746182)Termination phase: Saturation
% 57.26/10.04  % (1746182)Time elapsed: 1.068 s
% 57.26/10.04  % (1746182)Peak memory usage: 147 MB
% 57.26/10.04  % (1746182)Instructions burned: 2945 (million)
% 57.26/10.04  % (1746186)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=204581154:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2927 on theBenchmark for (2927ds/596Mi)
% 57.26/10.04  % (1746186)Instruction limit reached! 
% 57.26/10.04  % (1746186)------------------------------
% 57.26/10.04  % (1746186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746186)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746186)Termination reason: Instruction limit
% 57.26/10.04  % (1746186)Termination phase: Saturation
% 57.26/10.04  % (1746186)Time elapsed: 0.181 s
% 57.26/10.04  % (1746186)Peak memory usage: 96 MB
% 57.26/10.04  % (1746186)Instructions burned: 597 (million)
% 57.26/10.04  % (1746164)Instruction limit reached! 
% 57.26/10.04  % (1746164)------------------------------
% 57.26/10.04  % (1746164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746164)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746164)Termination reason: Instruction limit
% 57.26/10.04  % (1746164)Termination phase: Saturation
% 57.26/10.04  % (1746164)Time elapsed: 4.692 s
% 57.26/10.04  % (1746164)Peak memory usage: 200 MB
% 57.26/10.04  % (1746164)Instructions burned: 8479 (million)
% 57.26/10.04  % (1746188)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=1965775585:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2924 on theBenchmark for (2924ds/4123Mi)
% 57.26/10.04  % (1746189)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1807263113:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2923 on theBenchmark for (2923ds/16411Mi)
% 57.26/10.04  % (1746159)Instruction limit reached! 
% 57.26/10.04  % (1746159)------------------------------
% 57.26/10.04  % (1746159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746159)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746159)Termination reason: Instruction limit
% 57.26/10.04  % (1746159)Termination phase: Saturation
% 57.26/10.04  % (1746159)Time elapsed: 6.704 s
% 57.26/10.04  % (1746159)Peak memory usage: 197 MB
% 57.26/10.04  % (1746159)Instructions burned: 10307 (million)
% 57.26/10.04  % (1746188)Instruction limit reached! 
% 57.26/10.04  % (1746188)------------------------------
% 57.26/10.04  % (1746188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.26/10.04  % (1746188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.26/10.04  % (1746188)CaDiCaL version: 2.1.3
% 57.26/10.04  % (1746188)Termination reason: Instruction limit
% 57.26/10.04  % (1746188)Termination phase: Saturation
% 57.26/10.04  % (1746188)Time elapsed: 1.359 s
% 57.26/10.04  % (1746188)Peak memory usage: 160 MB
% 57.26/10.04  % (1746188)Instructions burned: 4126 (million)
% 57.26/10.04  % (1746189)First to succeed.
% 57.26/10.04  % (1746189)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1746103"
% 57.26/10.04  % (1746193)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=1456212027:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2909 on theBenchmark for (2909ds/1722Mi)
% 57.26/10.04  % (1746192)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1551735167:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2909 on theBenchmark for (2909ds/1670Mi)
% 57.26/10.04  % (1746189)Refutation found. Thanks to Tanya!
% 57.26/10.04  % SZS status Unsatisfiable for theBenchmark
% 57.26/10.04  % SZS output start Proof for theBenchmark
% See solution above
% 66.91/10.20  % (1746189)------------------------------
% 66.91/10.20  % (1746189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.91/10.20  % (1746189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.91/10.20  % (1746189)CaDiCaL version: 2.1.3
% 66.91/10.20  % (1746189)Termination reason: Refutation
% 66.91/10.20  % (1746189)Time elapsed: 1.267 s
% 66.91/10.20  % (1746189)Peak memory usage: 140 MB
% 66.91/10.20  % (1746189)Instructions burned: 1954 (million)
% 66.91/10.20  % (1746189)------------------------------
% 66.91/10.20  % (1746189)------------------------------
% 66.91/10.20  % (1746103)Success in time 9.388 s
% 66.91/10.20  % Vampire exiting
%------------------------------------------------------------------------------