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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV305-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 01:20:49 PM UTC 2026

% Result   : Unsatisfiable 3.17s 0.75s
% Output   : Refutation 3.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  118 (  54 unt;  24 def)
%            Number of atoms       :  206 (  36 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  156 (  68   ~;  82   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-3 aty)
%            Number of functors    :   43 (  43 usr;  31 con; 0-3 aty)
%            Number of variables   :   31 (   0 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1395,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/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

fof(f1447,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_OCrypt__synth_0) ).

fof(f1523,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f1525,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-2.ax',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f1557,axiom,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f1558,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1559,negated_conjecture,
    c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1560,negated_conjecture,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1561,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1562,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1563,negated_conjecture,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1583,definition,
    sF0 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f1584,plain,
    tc_List_Olist(tc_Event_Oevent) = sF0,
    inference(reorient_equations,[],[f1583]) ).

fof(f1585,plain,
    c_in(v_evsf,c_OtwayRees_Ootway,sF0),
    inference(definition_folding,[],[f1559,f1584]) ).

fof(f1586,definition,
    sF1 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f1587,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF1,
    inference(reorient_equations,[],[f1586]) ).

fof(f1588,definition,
    sF2 = c_Message_Oanalz(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f1589,plain,
    c_Message_Oanalz(sF1) = sF2,
    inference(reorient_equations,[],[f1588]) ).

fof(f1590,definition,
    sF3 = c_Message_Osynth(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f1591,plain,
    c_Message_Osynth(sF2) = sF3,
    inference(reorient_equations,[],[f1590]) ).

fof(f1592,plain,
    c_in(v_X,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f1560,f1591,f1589,f1587]) ).

fof(f1593,definition,
    sF4 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f1594,plain,
    c_Public_OshrK(v_A) = sF4,
    inference(reorient_equations,[],[f1593]) ).

fof(f1595,definition,
    sF5 = c_Message_Omsg_OAgent(v_A),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f1596,plain,
    c_Message_Omsg_OAgent(v_A) = sF5,
    inference(reorient_equations,[],[f1595]) ).

fof(f1597,definition,
    sF6 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f1598,plain,
    c_Message_Omsg_OAgent(v_B) = sF6,
    inference(reorient_equations,[],[f1597]) ).

fof(f1599,definition,
    sF7 = c_Message_Omsg_OMPair(sF5,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f1600,plain,
    c_Message_Omsg_OMPair(sF5,sF6) = sF7,
    inference(reorient_equations,[],[f1599]) ).

fof(f1601,definition,
    sF8 = c_Message_Omsg_OMPair(v_NA,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f1602,plain,
    c_Message_Omsg_OMPair(v_NA,sF7) = sF8,
    inference(reorient_equations,[],[f1601]) ).

fof(f1603,definition,
    sF9 = c_Message_Omsg_OCrypt(sF4,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f1604,plain,
    c_Message_Omsg_OCrypt(sF4,sF8) = sF9,
    inference(reorient_equations,[],[f1603]) ).

fof(f1605,definition,
    sF10 = c_insert(v_X,sF1,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f1606,plain,
    c_insert(v_X,sF1,tc_Message_Omsg) = sF10,
    inference(reorient_equations,[],[f1605]) ).

fof(f1607,definition,
    sF11 = c_Message_Oparts(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f1608,plain,
    c_Message_Oparts(sF10) = sF11,
    inference(reorient_equations,[],[f1607]) ).

fof(f1609,plain,
    c_in(sF9,sF11,tc_Message_Omsg),
    inference(definition_folding,[],[f1561,f1608,f1606,f1587,f1604,f1602,f1600,f1598,f1596,f1594]) ).

fof(f1610,definition,
    sF12 = c_Message_Omsg_OAgent(v_A_H),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f1611,plain,
    c_Message_Omsg_OAgent(v_A_H) = sF12,
    inference(reorient_equations,[],[f1610]) ).

fof(f1612,definition,
    sF13 = c_Message_Omsg_OMPair(sF12,sF5),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f1613,plain,
    c_Message_Omsg_OMPair(sF12,sF5) = sF13,
    inference(reorient_equations,[],[f1612]) ).

fof(f1614,definition,
    sF14 = c_Message_Omsg_OMPair(v_NA,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f1615,plain,
    c_Message_Omsg_OMPair(v_NA,sF13) = sF14,
    inference(reorient_equations,[],[f1614]) ).

fof(f1616,definition,
    sF15 = c_Message_Omsg_OMPair(v_NA_H,sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f1617,plain,
    c_Message_Omsg_OMPair(v_NA_H,sF14) = sF15,
    inference(reorient_equations,[],[f1616]) ).

fof(f1618,definition,
    sF16 = c_Message_Omsg_OCrypt(sF4,sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f1619,plain,
    c_Message_Omsg_OCrypt(sF4,sF15) = sF16,
    inference(reorient_equations,[],[f1618]) ).

fof(f1620,plain,
    c_in(sF16,sF11,tc_Message_Omsg),
    inference(definition_folding,[],[f1562,f1608,f1606,f1587,f1619,f1617,f1615,f1613,f1596,f1611,f1594]) ).

fof(f1621,definition,
    sF17 = c_Message_Oparts(sF1),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f1622,plain,
    c_Message_Oparts(sF1) = sF17,
    inference(reorient_equations,[],[f1621]) ).

fof(f1623,plain,
    ( ~ c_in(sF16,sF17,tc_Message_Omsg)
    | ~ c_in(sF9,sF17,tc_Message_Omsg) ),
    inference(definition_folding,[],[f1563,f1622,f1587,f1604,f1602,f1600,f1598,f1596,f1594,f1622,f1587,f1619,f1617,f1615,f1613,f1596,f1611,f1594]) ).

fof(f1625,definition,
    ( spl18_1
  <=> c_in(sF9,sF17,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).

fof(f1627,plain,
    ( ~ c_in(sF9,sF17,tc_Message_Omsg)
    | spl18_1 ),
    inference(avatar_component_clause,[],[f1625]) ).

fof(f1629,definition,
    ( spl18_2
  <=> c_in(sF16,sF17,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).

fof(f1631,plain,
    ( ~ c_in(sF16,sF17,tc_Message_Omsg)
    | spl18_2 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1632,plain,
    ( ~ spl18_1
    | ~ spl18_2 ),
    inference(avatar_split_clause,[],[f1623,f1629,f1625]) ).

fof(f2206,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(sF1),tc_Message_Omsg) ),
    inference(superposition,[],[f1525,f1589]) ).

fof(f2207,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,sF17,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f2206,f1622]) ).

fof(f3589,plain,
    ! [X0] :
      ( ~ c_in(sF9,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(sF9,X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(sF4),X0,tc_Message_Omsg) ),
    inference(superposition,[],[f1447,f1604]) ).

fof(f3590,plain,
    ! [X0] :
      ( ~ c_in(sF16,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(sF16,X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(sF4),X0,tc_Message_Omsg) ),
    inference(superposition,[],[f1447,f1619]) ).

fof(f3671,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(sF1),tc_Message_Omsg)
      | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f1557,f1587]) ).

fof(f3672,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF17,tc_Message_Omsg)
      | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(forward_demodulation,[],[f3671,f1622]) ).

fof(f3675,plain,
    ! [X0] :
      ( ~ c_in(v_evsf,c_OtwayRees_Ootway,sF0)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF17,tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(forward_demodulation,[],[f3672,f1584]) ).

fof(f3677,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF17,tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(forward_subsumption_resolution,[],[f3675,f1585]) ).

fof(f3679,plain,
    ( ~ c_in(c_Message_Omsg_OKey(sF4),sF17,tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f3677,f1594]) ).

fof(f3680,plain,
    ~ c_in(c_Message_Omsg_OKey(sF4),sF17,tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f3679,f1558]) ).

fof(f4174,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oparts(sF10),tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF1)),tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(superposition,[],[f1523,f1606]) ).

fof(f4175,plain,
    ! [X0] :
      ( ~ c_in(X0,sF11,tc_Message_Omsg)
      | ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF1)),tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4174,f1608]) ).

fof(f4176,plain,
    ! [X0] :
      ( ~ c_in(v_X,c_Message_Osynth(sF2),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4175,f1589]) ).

fof(f4177,plain,
    ! [X0] :
      ( ~ c_in(v_X,sF3,tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4176,f1591]) ).

fof(f4178,plain,
    ! [X0] :
      ( ~ c_in(X0,sF11,tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),c_Message_Oparts(sF1),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f4177,f1592]) ).

fof(f4179,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),sF17,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4178,f1622]) ).

fof(f4180,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(sF2),sF17,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4179,f1589]) ).

fof(f4181,plain,
    ! [X0] :
      ( c_in(X0,c_union(sF3,sF17,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4180,f1591]) ).

fof(f4182,plain,
    ! [X0] :
      ( ~ c_in(X0,sF11,tc_Message_Omsg)
      | c_in(X0,sF17,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f4181,f1395]) ).

fof(f4272,plain,
    ( c_in(sF9,sF17,tc_Message_Omsg)
    | c_in(sF9,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f4182,f1609]) ).

fof(f4273,plain,
    ( c_in(sF16,sF17,tc_Message_Omsg)
    | c_in(sF16,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f4182,f1620]) ).

fof(f4275,definition,
    ( spl18_41
  <=> c_in(sF16,sF3,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl18_41])],[avatar_definition]) ).

fof(f4277,plain,
    ( c_in(sF16,sF3,tc_Message_Omsg)
    | ~ spl18_41 ),
    inference(avatar_component_clause,[],[f4275]) ).

fof(f4278,plain,
    ( spl18_41
    | spl18_2 ),
    inference(avatar_split_clause,[],[f4273,f1629,f4275]) ).

fof(f4279,plain,
    ( c_in(sF9,sF3,tc_Message_Omsg)
    | spl18_1 ),
    inference(forward_subsumption_resolution,[],[f4272,f1627]) ).

fof(f7276,plain,
    ( ~ c_in(sF9,sF3,tc_Message_Omsg)
    | c_in(sF9,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f3589,f1591]) ).

fof(f7277,plain,
    ( c_in(sF9,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg)
    | spl18_1 ),
    inference(forward_subsumption_resolution,[],[f7276,f4279]) ).

fof(f7279,definition,
    ( spl18_105
  <=> c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl18_105])],[avatar_definition]) ).

fof(f7281,plain,
    ( c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg)
    | ~ spl18_105 ),
    inference(avatar_component_clause,[],[f7279]) ).

fof(f7283,definition,
    ( spl18_106
  <=> c_in(sF9,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).

fof(f7285,plain,
    ( c_in(sF9,sF2,tc_Message_Omsg)
    | ~ spl18_106 ),
    inference(avatar_component_clause,[],[f7283]) ).

fof(f7286,plain,
    ( spl18_105
    | spl18_106
    | spl18_1 ),
    inference(avatar_split_clause,[],[f7277,f1625,f7283,f7279]) ).

fof(f7296,plain,
    ( ~ c_in(sF16,sF3,tc_Message_Omsg)
    | c_in(sF16,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f3590,f1591]) ).

fof(f7297,plain,
    ( c_in(sF16,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg)
    | ~ spl18_41 ),
    inference(forward_subsumption_resolution,[],[f7296,f4277]) ).

fof(f7299,definition,
    ( spl18_108
  <=> c_in(sF16,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl18_108])],[avatar_definition]) ).

fof(f7301,plain,
    ( c_in(sF16,sF2,tc_Message_Omsg)
    | ~ spl18_108 ),
    inference(avatar_component_clause,[],[f7299]) ).

fof(f7302,plain,
    ( spl18_105
    | spl18_108
    | ~ spl18_41 ),
    inference(avatar_split_clause,[],[f7297,f4275,f7299,f7279]) ).

fof(f7305,plain,
    ( c_in(c_Message_Omsg_OKey(sF4),sF17,tc_Message_Omsg)
    | ~ spl18_105 ),
    inference(resolution,[],[f7281,f2207]) ).

fof(f7309,plain,
    ( $false
    | ~ spl18_105 ),
    inference(forward_subsumption_resolution,[],[f7305,f3680]) ).

fof(f7310,plain,
    ~ spl18_105,
    inference(avatar_contradiction_clause,[],[f7309]) ).

fof(f7313,plain,
    ( c_in(sF16,sF17,tc_Message_Omsg)
    | ~ spl18_108 ),
    inference(resolution,[],[f7301,f2207]) ).

fof(f7317,plain,
    ( $false
    | spl18_2
    | ~ spl18_108 ),
    inference(forward_subsumption_resolution,[],[f7313,f1631]) ).

fof(f7318,plain,
    ( spl18_2
    | ~ spl18_108 ),
    inference(avatar_contradiction_clause,[],[f7317]) ).

fof(f7329,plain,
    ( c_in(sF9,sF17,tc_Message_Omsg)
    | ~ spl18_106 ),
    inference(resolution,[],[f7285,f2207]) ).

fof(f7333,plain,
    ( $false
    | spl18_1
    | ~ spl18_106 ),
    inference(forward_subsumption_resolution,[],[f7329,f1627]) ).

fof(f7334,plain,
    ( spl18_1
    | ~ spl18_106 ),
    inference(avatar_contradiction_clause,[],[f7333]) ).

cnf(s1,plain,
    ( ~ spl18_1
    | ~ spl18_2 ),
    inference(sat_conversion,[],[f1632]) ).

cnf(s24,plain,
    ( spl18_2
    | spl18_41 ),
    inference(sat_conversion,[],[f4278]) ).

cnf(s104,plain,
    ( spl18_1
    | spl18_105
    | spl18_106 ),
    inference(sat_conversion,[],[f7286]) ).

cnf(s106,plain,
    ( ~ spl18_41
    | spl18_105
    | spl18_108 ),
    inference(sat_conversion,[],[f7302]) ).

cnf(s107,plain,
    ~ spl18_105,
    inference(sat_conversion,[],[f7310]) ).

cnf(s108,plain,
    ( spl18_2
    | ~ spl18_108 ),
    inference(sat_conversion,[],[f7318]) ).

cnf(s111,plain,
    ( spl18_1
    | ~ spl18_106 ),
    inference(sat_conversion,[],[f7334]) ).

cnf(s112,plain,
    ( ~ spl18_41
    | spl18_108 ),
    inference(rat,[],[s106,s107]) ).

cnf(s114,plain,
    ( spl18_1
    | spl18_106 ),
    inference(rat,[],[s104,s107]) ).

cnf(s124,plain,
    spl18_1,
    inference(rat,[],[s114,s111]) ).

cnf(s125,plain,
    ~ spl18_2,
    inference(rat,[],[s1,s124]) ).

cnf(s126,plain,
    ~ spl18_108,
    inference(rat,[],[s108,s125]) ).

cnf(s127,plain,
    spl18_41,
    inference(rat,[],[s24,s125]) ).

cnf(s128,plain,
    $false,
    inference(rat,[],[s112,s126,s127]) ).

fof(f7335,plain,
    $false,
    inference(avatar_sat_refutation,[],[s128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV305-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n016.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 10:35:33 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/0.75  % (3537402)Will run a generic schedule for satisfiability detection.
% 3.17/0.75  % (3537411)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=540826510:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.17/0.75  % (3537408)% WARNING: option uhcvi not known.
% 3.17/0.75  % (3537412)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3007085120:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.17/0.75  % (3537407)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3748113817_2999 on theBenchmark for (2999ds/0Mi)
% 3.17/0.75  % (3537410)dis+10_1_sil=32000:sp=arity:random_seed=3291042549:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.17/0.75  % (3537408)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1656292897:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.17/0.75  % (3537409)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1378318022:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.17/0.75  % (3537413)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1946421988:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.17/0.75  % (3537411)Instruction limit reached! 
% 3.17/0.75  % (3537411)------------------------------
% 3.17/0.75  % (3537411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537411)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537411)Termination reason: Instruction limit
% 3.17/0.75  % (3537411)Termination phase: Saturation
% 3.17/0.75  % (3537411)Time elapsed: 0.039 s
% 3.17/0.75  % (3537411)Peak memory usage: 14 MB
% 3.17/0.75  % (3537411)Instructions burned: 118 (million)
% 3.17/0.75  % (3537421)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1440635684:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.17/0.75  % (3537410)Instruction limit reached! 
% 3.17/0.75  % (3537410)------------------------------
% 3.17/0.75  % (3537410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537410)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537410)Termination reason: Instruction limit
% 3.17/0.75  % (3537410)Termination phase: Saturation
% 3.17/0.75  % (3537410)Time elapsed: 0.068 s
% 3.17/0.75  % (3537410)Peak memory usage: 14 MB
% 3.17/0.75  % (3537410)Instructions burned: 104 (million)
% 3.17/0.75  % (3537412)Instruction limit reached! 
% 3.17/0.75  % (3537412)------------------------------
% 3.17/0.75  % (3537412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537412)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537412)Termination reason: Instruction limit
% 3.17/0.75  % (3537412)Termination phase: Saturation
% 3.17/0.75  % (3537412)Time elapsed: 0.073 s
% 3.17/0.75  % (3537412)Peak memory usage: 14 MB
% 3.17/0.75  % (3537412)Instructions burned: 131 (million)
% 3.17/0.75  % TRYING [1]
% 3.17/0.75  % TRYING [1]
% 3.17/0.75  % TRYING [2]
% 3.17/0.75  % (3537423)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1771424189:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.17/0.75  % TRYING [2]
% 3.17/0.75  % (3537424)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1760263357:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.17/0.75  % (3537413)Instruction limit reached! 
% 3.17/0.75  % (3537413)------------------------------
% 3.17/0.75  % (3537413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537413)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537413)Termination reason: Instruction limit
% 3.17/0.75  % (3537413)Termination phase: Saturation
% 3.17/0.75  % (3537413)Time elapsed: 0.094 s
% 3.17/0.75  % (3537413)Peak memory usage: 15 MB
% 3.17/0.75  % (3537413)Instructions burned: 160 (million)
% 3.17/0.75  % (3537427)ott-21_1_sil=16000:fs=off:random_seed=2058631296:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.17/0.75  % TRYING [3]
% 3.17/0.75  % TRYING [3]
% 3.17/0.75  % (3537423)Instruction limit reached! 
% 3.17/0.75  % (3537423)------------------------------
% 3.17/0.75  % (3537423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537423)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537423)Termination reason: Instruction limit
% 3.17/0.75  % (3537423)Termination phase: Saturation
% 3.17/0.75  % (3537423)Time elapsed: 0.078 s
% 3.17/0.75  % (3537423)Peak memory usage: 15 MB
% 3.17/0.75  % (3537423)Instructions burned: 132 (million)
% 3.17/0.75  % (3537429)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=896165646:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.17/0.75  % (3537421)Instruction limit reached! 
% 3.17/0.75  % (3537421)------------------------------
% 3.17/0.75  % (3537421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537421)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537421)Termination reason: Instruction limit
% 3.17/0.75  % (3537421)Termination phase: Finite model building constraint generation
% 3.17/0.75  % (3537421)Time elapsed: 0.156 s
% 3.17/0.75  % (3537421)Peak memory usage: 49 MB
% 3.17/0.75  % (3537421)Instructions burned: 715 (million)
% 3.17/0.75  % (3537431)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=493013288:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.17/0.75  % (3537427)Instruction limit reached! 
% 3.17/0.75  % (3537427)------------------------------
% 3.17/0.75  % (3537427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537427)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537427)Termination reason: Instruction limit
% 3.17/0.75  % (3537427)Termination phase: Saturation
% 3.17/0.75  % (3537427)Time elapsed: 0.100 s
% 3.17/0.75  % (3537427)Peak memory usage: 14 MB
% 3.17/0.75  % (3537427)Instructions burned: 181 (million)
% 3.17/0.75  % (3537433)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2241902214:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.17/0.75  % TRYING [1]
% 3.17/0.75  % TRYING [2]
% 3.17/0.75  % TRYING [3]
% 3.17/0.75  % (3537431)Instruction limit reached! 
% 3.17/0.75  % (3537431)------------------------------
% 3.17/0.75  % (3537431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537431)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537431)Termination reason: Instruction limit
% 3.17/0.75  % (3537431)Termination phase: Finite model building constraint generation
% 3.17/0.75  % (3537431)Time elapsed: 0.208 s
% 3.17/0.75  % (3537431)Peak memory usage: 44 MB
% 3.17/0.75  % (3537431)Instructions burned: 868 (million)
% 3.17/0.75  % TRYING [4]
% 3.17/0.75  % (3537500)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1504280358:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.17/0.75  % (3537433) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3537402-3537433"...
% 3.17/0.75  % (3537433)...printing done.
% 3.17/0.75  % (3537433)Refutation found. Thanks to Tanya!
% 3.17/0.75  % SZS status Unsatisfiable for theBenchmark
% 3.17/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 3.17/0.75  % (3537433)------------------------------
% 3.17/0.75  % (3537433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.17/0.75  % (3537433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.17/0.75  % (3537433)CaDiCaL version: 2.1.3
% 3.17/0.75  % (3537433)Termination reason: Refutation
% 3.17/0.75  % (3537433)Time elapsed: 0.209 s
% 3.17/0.75  % (3537433)Peak memory usage: 18 MB
% 3.17/0.75  % (3537433)Instructions burned: 308 (million)
% 3.17/0.75  % (3537402)Success in time 0.518 s
% 3.17/0.75  % Vampire exiting
%------------------------------------------------------------------------------