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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV325-1 : 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 : n011.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 01:20:54 PM UTC 2026

% Result   : Unsatisfiable 3.21s 0.72s
% Output   : Refutation 3.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  123 (  56 unt;  24 def)
%            Number of atoms       :  219 (  40 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  172 (  76   ~;  89   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   8 prp; 0-3 aty)
%            Number of functors    :   41 (  41 usr;  29 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_C)))),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,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_4) ).

fof(f1563,negated_conjecture,
    v_B != v_C,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1564,plain,
    v_C != v_B,
    inference(reorient_equations,[],[f1563]) ).

fof(f1565,negated_conjecture,
    ( v_B = v_C
    | ~ 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)
    | ~ 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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1566,plain,
    ( v_C = v_B
    | ~ 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)
    | ~ 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_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(reorient_equations,[],[f1565]) ).

fof(f1586,definition,
    sF0 = tc_List_Olist(tc_Event_Oevent),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f1587,plain,
    tc_List_Olist(tc_Event_Oevent) = sF0,
    inference(reorient_equations,[],[f1586]) ).

fof(f1588,plain,
    c_in(v_evsf,c_OtwayRees_Ootway,sF0),
    inference(definition_folding,[],[f1559,f1587]) ).

fof(f1589,definition,
    sF1 = c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f1590,plain,
    c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF1,
    inference(reorient_equations,[],[f1589]) ).

fof(f1591,definition,
    sF2 = c_Message_Oanalz(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f1592,plain,
    c_Message_Oanalz(sF1) = sF2,
    inference(reorient_equations,[],[f1591]) ).

fof(f1593,definition,
    sF3 = c_Message_Osynth(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f1594,plain,
    c_Message_Osynth(sF2) = sF3,
    inference(reorient_equations,[],[f1593]) ).

fof(f1595,plain,
    c_in(v_X,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f1560,f1594,f1592,f1590]) ).

fof(f1596,definition,
    sF4 = c_Public_OshrK(v_A),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f1597,plain,
    c_Public_OshrK(v_A) = sF4,
    inference(reorient_equations,[],[f1596]) ).

fof(f1598,definition,
    sF5 = c_Message_Omsg_OAgent(v_A),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f1599,plain,
    c_Message_Omsg_OAgent(v_A) = sF5,
    inference(reorient_equations,[],[f1598]) ).

fof(f1600,definition,
    sF6 = c_Message_Omsg_OAgent(v_C),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f1601,plain,
    c_Message_Omsg_OAgent(v_C) = sF6,
    inference(reorient_equations,[],[f1600]) ).

fof(f1602,definition,
    sF7 = c_Message_Omsg_OMPair(sF5,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f1603,plain,
    c_Message_Omsg_OMPair(sF5,sF6) = sF7,
    inference(reorient_equations,[],[f1602]) ).

fof(f1604,definition,
    sF8 = c_Message_Omsg_OMPair(v_NA,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f1605,plain,
    c_Message_Omsg_OMPair(v_NA,sF7) = sF8,
    inference(reorient_equations,[],[f1604]) ).

fof(f1606,definition,
    sF9 = c_Message_Omsg_OCrypt(sF4,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f1607,plain,
    c_Message_Omsg_OCrypt(sF4,sF8) = sF9,
    inference(reorient_equations,[],[f1606]) ).

fof(f1608,definition,
    sF10 = c_insert(v_X,sF1,tc_Message_Omsg),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f1609,plain,
    c_insert(v_X,sF1,tc_Message_Omsg) = sF10,
    inference(reorient_equations,[],[f1608]) ).

fof(f1610,definition,
    sF11 = c_Message_Oparts(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f1611,plain,
    c_Message_Oparts(sF10) = sF11,
    inference(reorient_equations,[],[f1610]) ).

fof(f1612,plain,
    c_in(sF9,sF11,tc_Message_Omsg),
    inference(definition_folding,[],[f1561,f1611,f1609,f1590,f1607,f1605,f1603,f1601,f1599,f1597]) ).

fof(f1613,definition,
    sF12 = c_Message_Omsg_OAgent(v_B),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f1614,plain,
    c_Message_Omsg_OAgent(v_B) = sF12,
    inference(reorient_equations,[],[f1613]) ).

fof(f1615,definition,
    sF13 = c_Message_Omsg_OMPair(sF5,sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f1616,plain,
    c_Message_Omsg_OMPair(sF5,sF12) = sF13,
    inference(reorient_equations,[],[f1615]) ).

fof(f1617,definition,
    sF14 = c_Message_Omsg_OMPair(v_NA,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f1618,plain,
    c_Message_Omsg_OMPair(v_NA,sF13) = sF14,
    inference(reorient_equations,[],[f1617]) ).

fof(f1619,definition,
    sF15 = c_Message_Omsg_OCrypt(sF4,sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f1620,plain,
    c_Message_Omsg_OCrypt(sF4,sF14) = sF15,
    inference(reorient_equations,[],[f1619]) ).

fof(f1621,plain,
    c_in(sF15,sF11,tc_Message_Omsg),
    inference(definition_folding,[],[f1562,f1611,f1609,f1590,f1620,f1618,f1616,f1614,f1599,f1597]) ).

fof(f1622,definition,
    sF16 = c_Message_Oparts(sF1),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f1623,plain,
    c_Message_Oparts(sF1) = sF16,
    inference(reorient_equations,[],[f1622]) ).

fof(f1624,plain,
    ( v_C = v_B
    | ~ c_in(sF15,sF16,tc_Message_Omsg)
    | ~ c_in(sF9,sF16,tc_Message_Omsg) ),
    inference(definition_folding,[],[f1566,f1623,f1590,f1607,f1605,f1603,f1601,f1599,f1597,f1623,f1590,f1620,f1618,f1616,f1614,f1599,f1597]) ).

fof(f1626,definition,
    ( spl17_1
  <=> c_in(sF9,sF16,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).

fof(f1628,plain,
    ( ~ c_in(sF9,sF16,tc_Message_Omsg)
    | spl17_1 ),
    inference(avatar_component_clause,[],[f1626]) ).

fof(f1630,definition,
    ( spl17_2
  <=> c_in(sF15,sF16,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).

fof(f1632,plain,
    ( ~ c_in(sF15,sF16,tc_Message_Omsg)
    | spl17_2 ),
    inference(avatar_component_clause,[],[f1630]) ).

fof(f1634,definition,
    ( spl17_3
  <=> v_C = v_B ),
    introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).

fof(f1637,plain,
    ( ~ spl17_1
    | ~ spl17_2
    | spl17_3 ),
    inference(avatar_split_clause,[],[f1624,f1634,f1630,f1626]) ).

fof(f1638,plain,
    ~ spl17_3,
    inference(avatar_split_clause,[],[f1564,f1634]) ).

fof(f2197,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(sF1),tc_Message_Omsg) ),
    inference(superposition,[],[f1525,f1592]) ).

fof(f2198,plain,
    ! [X0] :
      ( ~ c_in(X0,sF2,tc_Message_Omsg)
      | c_in(X0,sF16,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f2197,f1623]) ).

fof(f3580,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,f1607]) ).

fof(f3581,plain,
    ! [X0] :
      ( ~ c_in(sF15,c_Message_Osynth(X0),tc_Message_Omsg)
      | c_in(sF15,X0,tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(sF4),X0,tc_Message_Omsg) ),
    inference(superposition,[],[f1447,f1620]) ).

fof(f3611,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,f1590]) ).

fof(f3612,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF16,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,[],[f3611,f1623]) ).

fof(f3615,plain,
    ! [X0] :
      ( ~ c_in(v_evsf,c_OtwayRees_Ootway,sF0)
      | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF16,tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(forward_demodulation,[],[f3612,f1587]) ).

fof(f3617,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF16,tc_Message_Omsg)
      | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    inference(forward_subsumption_resolution,[],[f3615,f1588]) ).

fof(f3619,plain,
    ( ~ c_in(c_Message_Omsg_OKey(sF4),sF16,tc_Message_Omsg)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[],[f3617,f1597]) ).

fof(f3620,plain,
    ~ c_in(c_Message_Omsg_OKey(sF4),sF16,tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f3619,f1558]) ).

fof(f4129,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,f1609]) ).

fof(f4130,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,[],[f4129,f1611]) ).

fof(f4133,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,[],[f4130,f1592]) ).

fof(f4134,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,[],[f4133,f1594]) ).

fof(f4135,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,[],[f4134,f1595]) ).

fof(f4136,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF1)),sF16,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4135,f1623]) ).

fof(f4137,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(sF2),sF16,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4136,f1592]) ).

fof(f4138,plain,
    ! [X0] :
      ( c_in(X0,c_union(sF3,sF16,tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,sF11,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f4137,f1594]) ).

fof(f4139,plain,
    ! [X0] :
      ( ~ c_in(X0,sF11,tc_Message_Omsg)
      | c_in(X0,sF16,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f4138,f1395]) ).

fof(f4229,plain,
    ( c_in(sF9,sF16,tc_Message_Omsg)
    | c_in(sF9,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f4139,f1612]) ).

fof(f4230,plain,
    ( c_in(sF15,sF16,tc_Message_Omsg)
    | c_in(sF15,sF3,tc_Message_Omsg) ),
    inference(resolution,[],[f4139,f1621]) ).

fof(f4232,definition,
    ( spl17_38
  <=> c_in(sF15,sF3,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl17_38])],[avatar_definition]) ).

fof(f4234,plain,
    ( c_in(sF15,sF3,tc_Message_Omsg)
    | ~ spl17_38 ),
    inference(avatar_component_clause,[],[f4232]) ).

fof(f4235,plain,
    ( spl17_38
    | spl17_2 ),
    inference(avatar_split_clause,[],[f4230,f1630,f4232]) ).

fof(f4236,plain,
    ( c_in(sF9,sF3,tc_Message_Omsg)
    | spl17_1 ),
    inference(forward_subsumption_resolution,[],[f4229,f1628]) ).

fof(f7834,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,[],[f3580,f1594]) ).

fof(f7836,plain,
    ( c_in(sF9,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg)
    | spl17_1 ),
    inference(forward_subsumption_resolution,[],[f7834,f4236]) ).

fof(f7838,definition,
    ( spl17_89
  <=> c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl17_89])],[avatar_definition]) ).

fof(f7840,plain,
    ( c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg)
    | ~ spl17_89 ),
    inference(avatar_component_clause,[],[f7838]) ).

fof(f7842,definition,
    ( spl17_90
  <=> c_in(sF9,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl17_90])],[avatar_definition]) ).

fof(f7844,plain,
    ( c_in(sF9,sF2,tc_Message_Omsg)
    | ~ spl17_90 ),
    inference(avatar_component_clause,[],[f7842]) ).

fof(f7845,plain,
    ( spl17_89
    | spl17_90
    | spl17_1 ),
    inference(avatar_split_clause,[],[f7836,f1626,f7842,f7838]) ).

fof(f7858,plain,
    ( ~ c_in(sF15,sF3,tc_Message_Omsg)
    | c_in(sF15,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg) ),
    inference(superposition,[],[f3581,f1594]) ).

fof(f7860,plain,
    ( c_in(sF15,sF2,tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(sF4),sF2,tc_Message_Omsg)
    | ~ spl17_38 ),
    inference(forward_subsumption_resolution,[],[f7858,f4234]) ).

fof(f7862,definition,
    ( spl17_92
  <=> c_in(sF15,sF2,tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl17_92])],[avatar_definition]) ).

fof(f7864,plain,
    ( c_in(sF15,sF2,tc_Message_Omsg)
    | ~ spl17_92 ),
    inference(avatar_component_clause,[],[f7862]) ).

fof(f7865,plain,
    ( spl17_89
    | spl17_92
    | ~ spl17_38 ),
    inference(avatar_split_clause,[],[f7860,f4232,f7862,f7838]) ).

fof(f7866,plain,
    ( c_in(c_Message_Omsg_OKey(sF4),sF16,tc_Message_Omsg)
    | ~ spl17_89 ),
    inference(resolution,[],[f7840,f2198]) ).

fof(f7870,plain,
    ( $false
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f7866,f3620]) ).

fof(f7871,plain,
    ~ spl17_89,
    inference(avatar_contradiction_clause,[],[f7870]) ).

fof(f7878,plain,
    ( c_in(sF15,sF16,tc_Message_Omsg)
    | ~ spl17_92 ),
    inference(resolution,[],[f7864,f2198]) ).

fof(f7882,plain,
    ( $false
    | spl17_2
    | ~ spl17_92 ),
    inference(forward_subsumption_resolution,[],[f7878,f1632]) ).

fof(f7883,plain,
    ( spl17_2
    | ~ spl17_92 ),
    inference(avatar_contradiction_clause,[],[f7882]) ).

fof(f7907,plain,
    ( c_in(sF9,sF16,tc_Message_Omsg)
    | ~ spl17_90 ),
    inference(resolution,[],[f7844,f2198]) ).

fof(f7911,plain,
    ( $false
    | spl17_1
    | ~ spl17_90 ),
    inference(forward_subsumption_resolution,[],[f7907,f1628]) ).

fof(f7912,plain,
    ( spl17_1
    | ~ spl17_90 ),
    inference(avatar_contradiction_clause,[],[f7911]) ).

cnf(s1,plain,
    ( ~ spl17_1
    | ~ spl17_2
    | spl17_3 ),
    inference(sat_conversion,[],[f1637]) ).

cnf(s2,plain,
    ~ spl17_3,
    inference(sat_conversion,[],[f1638]) ).

cnf(s23,plain,
    ( spl17_2
    | spl17_38 ),
    inference(sat_conversion,[],[f4235]) ).

cnf(s82,plain,
    ( spl17_1
    | spl17_89
    | spl17_90 ),
    inference(sat_conversion,[],[f7845]) ).

cnf(s84,plain,
    ( ~ spl17_38
    | spl17_89
    | spl17_92 ),
    inference(sat_conversion,[],[f7865]) ).

cnf(s85,plain,
    ~ spl17_89,
    inference(sat_conversion,[],[f7871]) ).

cnf(s86,plain,
    ( spl17_2
    | ~ spl17_92 ),
    inference(sat_conversion,[],[f7883]) ).

cnf(s89,plain,
    ( spl17_1
    | ~ spl17_90 ),
    inference(sat_conversion,[],[f7912]) ).

cnf(s90,plain,
    ( ~ spl17_38
    | spl17_92 ),
    inference(rat,[],[s84,s85]) ).

cnf(s92,plain,
    ( spl17_1
    | spl17_90 ),
    inference(rat,[],[s82,s85]) ).

cnf(s97,plain,
    ( ~ spl17_1
    | ~ spl17_2 ),
    inference(rat,[],[s1,s2]) ).

cnf(s98,plain,
    spl17_1,
    inference(rat,[],[s92,s89]) ).

cnf(s99,plain,
    ~ spl17_2,
    inference(rat,[],[s97,s98]) ).

cnf(s100,plain,
    ~ spl17_92,
    inference(rat,[],[s86,s99]) ).

cnf(s101,plain,
    spl17_38,
    inference(rat,[],[s23,s99]) ).

cnf(s102,plain,
    $false,
    inference(rat,[],[s90,s100,s101]) ).

fof(f7913,plain,
    $false,
    inference(avatar_sat_refutation,[],[s102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV325-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n011.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 10:36:32 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  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
% 3.21/0.72  % (3308056)Will run a generic schedule for satisfiability detection.
% 3.21/0.72  % (3308065)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3721686560:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.21/0.72  % (3308062)% WARNING: option uhcvi not known.
% 3.21/0.72  % (3308061)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1426681882_2999 on theBenchmark for (2999ds/0Mi)
% 3.21/0.72  % (3308062)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3760177591:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.21/0.72  % (3308063)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=340887180:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.21/0.72  % (3308064)dis+10_1_sil=32000:sp=arity:random_seed=3970290791:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.21/0.72  % (3308066)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2110876820:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.21/0.72  % (3308067)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3839356704:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.21/0.72  % (3308065)Instruction limit reached! 
% 3.21/0.72  % (3308065)------------------------------
% 3.21/0.72  % (3308065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308065)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308065)Termination reason: Instruction limit
% 3.21/0.72  % (3308065)Termination phase: Saturation
% 3.21/0.72  % (3308065)Time elapsed: 0.037 s
% 3.21/0.72  % (3308065)Peak memory usage: 14 MB
% 3.21/0.72  % (3308065)Instructions burned: 117 (million)
% 3.21/0.72  % (3308075)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2279565196:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.21/0.72  % (3308064)Instruction limit reached! 
% 3.21/0.72  % (3308064)------------------------------
% 3.21/0.72  % (3308064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308064)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308064)Termination reason: Instruction limit
% 3.21/0.72  % (3308064)Termination phase: Saturation
% 3.21/0.72  % (3308064)Time elapsed: 0.068 s
% 3.21/0.72  % (3308064)Peak memory usage: 14 MB
% 3.21/0.72  % (3308064)Instructions burned: 104 (million)
% 3.21/0.72  % TRYING [1]
% 3.21/0.72  % (3308066)Instruction limit reached! 
% 3.21/0.72  % (3308066)------------------------------
% 3.21/0.72  % (3308066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308066)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308066)Termination reason: Instruction limit
% 3.21/0.72  % (3308066)Termination phase: Saturation
% 3.21/0.72  % (3308066)Time elapsed: 0.073 s
% 3.21/0.72  % (3308066)Peak memory usage: 14 MB
% 3.21/0.72  % (3308066)Instructions burned: 133 (million)
% 3.21/0.72  % TRYING [2]
% 3.21/0.72  % TRYING [1]
% 3.21/0.72  % TRYING [2]
% 3.21/0.72  % (3308067)Instruction limit reached! 
% 3.21/0.72  % (3308067)------------------------------
% 3.21/0.72  % (3308067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308067)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308067)Termination reason: Instruction limit
% 3.21/0.72  % (3308067)Termination phase: Saturation
% 3.21/0.72  % (3308067)Time elapsed: 0.082 s
% 3.21/0.72  % (3308067)Peak memory usage: 15 MB
% 3.21/0.72  % (3308067)Instructions burned: 159 (million)
% 3.21/0.72  % (3308077)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1733046013:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.21/0.72  % (3308078)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=3236848194:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.21/0.72  % (3308079)ott-21_1_sil=16000:fs=off:random_seed=2309100248:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.21/0.72  % TRYING [3]
% 3.21/0.72  % TRYING [3]
% 3.21/0.72  % (3308077)Instruction limit reached! 
% 3.21/0.72  % (3308077)------------------------------
% 3.21/0.72  % (3308077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308077)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308077)Termination reason: Instruction limit
% 3.21/0.72  % (3308077)Termination phase: Saturation
% 3.21/0.72  % (3308077)Time elapsed: 0.078 s
% 3.21/0.72  % (3308077)Peak memory usage: 15 MB
% 3.21/0.72  % (3308077)Instructions burned: 131 (million)
% 3.21/0.72  % (3308083)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3250808923:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 3.21/0.72  % (3308075)Instruction limit reached! 
% 3.21/0.72  % (3308075)------------------------------
% 3.21/0.72  % (3308075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308075)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308075)Termination reason: Instruction limit
% 3.21/0.72  % (3308075)Termination phase: Finite model building constraint generation
% 3.21/0.72  % (3308075)Time elapsed: 0.157 s
% 3.21/0.72  % (3308075)Peak memory usage: 48 MB
% 3.21/0.72  % (3308075)Instructions burned: 718 (million)
% 3.21/0.72  % (3308079)Instruction limit reached! 
% 3.21/0.72  % (3308079)------------------------------
% 3.21/0.72  % (3308079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308079)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308079)Termination reason: Instruction limit
% 3.21/0.72  % (3308079)Termination phase: Saturation
% 3.21/0.72  % (3308079)Time elapsed: 0.102 s
% 3.21/0.72  % (3308079)Peak memory usage: 14 MB
% 3.21/0.72  % (3308079)Instructions burned: 181 (million)
% 3.21/0.72  % (3308085)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3919624646:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.21/0.72  % (3308086)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1048881285:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.21/0.72  % TRYING [1]
% 3.21/0.72  % TRYING [2]
% 3.21/0.72  % TRYING [3]
% 3.21/0.72  % TRYING [4]
% 3.21/0.72  % (3308085)Instruction limit reached! 
% 3.21/0.72  % (3308085)------------------------------
% 3.21/0.72  % (3308085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308085)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308085)Termination reason: Instruction limit
% 3.21/0.72  % (3308085)Termination phase: Finite model building constraint generation
% 3.21/0.72  % (3308085)Time elapsed: 0.205 s
% 3.21/0.72  % (3308085)Peak memory usage: 45 MB
% 3.21/0.72  % (3308085)Instructions burned: 869 (million)
% 3.21/0.72  % (3308086) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3308056-3308086"...
% 3.21/0.72  % (3308086)...printing done.
% 3.21/0.72  % (3308089)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1073242715:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.21/0.72  % (3308086)Refutation found. Thanks to Tanya!
% 3.21/0.72  % SZS status Unsatisfiable for theBenchmark
% 3.21/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 3.21/0.72  % (3308086)------------------------------
% 3.21/0.72  % (3308086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.21/0.72  % (3308086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/0.72  % (3308086)CaDiCaL version: 2.1.3
% 3.21/0.72  % (3308086)Termination reason: Refutation
% 3.21/0.72  % (3308086)Time elapsed: 0.204 s
% 3.21/0.72  % (3308086)Peak memory usage: 18 MB
% 3.21/0.72  % (3308086)Instructions burned: 315 (million)
% 3.21/0.72  % (3308056)Success in time 0.499 s
% 3.21/0.72  % Vampire exiting
%------------------------------------------------------------------------------