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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV294-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:08:42 PM UTC 2026

% Result   : Unsatisfiable 3.41s 1.17s
% Output   : Refutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   62 (  13 unt;   6 def)
%            Number of atoms       :  133 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  123 (  52   ~;  65   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  14 con; 0-3 aty)
%            Number of variables   :   23 (   0 sgn  23   !;   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/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f1431,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_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/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

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

fof(f1525,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f1528,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(f1563,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1564,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(f1575,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_18) ).

fof(f1576,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(f1577,negated_conjecture,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | v_A = c_Message_Oagent_OSpy ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1578,plain,
    ( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | c_Message_Oagent_OSpy = v_A ),
    inference(reorient_equations,[],[f1577]) ).

fof(f1579,negated_conjecture,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | v_A = c_Message_Oagent_OSpy ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1580,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | c_Message_Oagent_OSpy = v_A ),
    inference(reorient_equations,[],[f1579]) ).

fof(f1581,negated_conjecture,
    ! [X0] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
      | v_A = c_Message_Oagent_OSpy ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1582,plain,
    ! [X0] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
      | c_Message_Oagent_OSpy = v_A ),
    inference(reorient_equations,[],[f1581]) ).

fof(f1592,definition,
    ( spl0_2
  <=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),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_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f1599,definition,
    ( spl0_4
  <=> ! [X0] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f1600,plain,
    ( ! [X0] : ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f1599]) ).

fof(f1603,definition,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f1604,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1603]) ).

fof(f1608,definition,
    ( spl0_6
  <=> c_Message_Oagent_OSpy = v_A ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f1609,plain,
    ( c_Message_Oagent_OSpy = v_A
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f1608]) ).

fof(f1610,plain,
    ( spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1582,f1599,f1608]) ).

fof(f1611,plain,
    ( spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f1580,f1603,f1608]) ).

fof(f1612,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1578,f1592,f1608]) ).

fof(f1615,definition,
    ( spl0_7
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f1616,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1615]) ).

fof(f1618,definition,
    ( spl0_8
  <=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f1619,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1618]) ).

fof(f1620,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f1575,f1618,f1615,f1592]) ).

fof(f1914,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_7 ),
    inference(resolution,[],[f1525,f1616]) ).

fof(f2152,plain,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
      | c_in(X1,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    inference(resolution,[],[f1528,f1525]) ).

fof(f2165,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(X2,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(resolution,[],[f1523,f1395]) ).

fof(f2489,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(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_OKey(v_K))),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_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(resolution,[],[f2165,f1604]) ).

fof(f2500,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f2489,f1576]) ).

fof(f2515,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2500,f1616]) ).

fof(f2516,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_6 ),
    inference(superposition,[],[f1431,f1609]) ).

fof(f2573,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2516,f1563]) ).

fof(f2574,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f2573]) ).

fof(f2722,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_5
    | spl0_7 ),
    inference(resolution,[],[f2515,f1447]) ).

fof(f2724,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2722,f1914]) ).

fof(f2725,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ spl0_5
    | spl0_7 ),
    inference(resolution,[],[f2724,f2152]) ).

fof(f2726,plain,
    ( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2725,f1563]) ).

fof(f2727,plain,
    ( $false
    | ~ spl0_5
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2726,f1564]) ).

fof(f2728,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f2727]) ).

fof(f2729,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1619,f1600]) ).

fof(f2730,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f2729]) ).

cnf(s5,plain,
    ( spl0_4
    | spl0_6 ),
    inference(sat_conversion,[],[f1610]) ).

cnf(s6,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f1611]) ).

cnf(s7,plain,
    ( spl0_2
    | spl0_6 ),
    inference(sat_conversion,[],[f1612]) ).

cnf(s8,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f1620]) ).

cnf(s28,plain,
    ~ spl0_6,
    inference(sat_conversion,[],[f2574]) ).

cnf(s33,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(sat_conversion,[],[f2728]) ).

cnf(s34,plain,
    ( ~ spl0_4
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f2730]) ).

cnf(s37,plain,
    spl0_2,
    inference(rat,[],[s7,s28]) ).

cnf(s38,plain,
    spl0_5,
    inference(rat,[],[s6,s28]) ).

cnf(s39,plain,
    spl0_7,
    inference(rat,[],[s33,s38]) ).

cnf(s40,plain,
    spl0_8,
    inference(rat,[],[s8,s37,s39]) ).

cnf(s41,plain,
    ~ spl0_4,
    inference(rat,[],[s34,s40]) ).

cnf(s44,plain,
    $false,
    inference(rat,[],[s5,s28,s41]) ).

fof(f2737,plain,
    $false,
    inference(avatar_sat_refutation,[],[s44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV294-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n005.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 10:28:01 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 3.41/1.17  % (697669)Input is clausal, will run a generic CNF schedule.
% 3.41/1.17  % (697674)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=3279531116:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.41/1.17  % (697679)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=317554102:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.41/1.17  % (697676)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2270422814:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.41/1.17  % (697677)lrs+10_1_sil=8000:sp=occurrence:random_seed=3431321521:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.41/1.17  % (697678)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2624591036:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.41/1.17  % (697675)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1988284524:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.41/1.17  % (697680)dis-21_1_sil=8000:lcm=predicate:random_seed=1206463815:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.41/1.17  % (697678)First to succeed.
% 3.41/1.17  % (697678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-697669"
% 3.41/1.17  % (697677)Instruction limit reached! 
% 3.41/1.17  % (697677)------------------------------
% 3.41/1.17  % (697677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.17  % (697677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.17  % (697677)CaDiCaL version: 2.1.3
% 3.41/1.17  % (697677)Termination reason: Instruction limit
% 3.41/1.17  % (697677)Termination phase: Saturation
% 3.41/1.17  % (697677)Time elapsed: 0.061 s
% 3.41/1.17  % (697677)Peak memory usage: 90 MB
% 3.41/1.17  % (697677)Instructions burned: 109 (million)
% 3.41/1.17  % (697680)Instruction limit reached! 
% 3.41/1.17  % (697680)------------------------------
% 3.41/1.17  % (697680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.17  % (697680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.17  % (697680)CaDiCaL version: 2.1.3
% 3.41/1.17  % (697680)Termination reason: Instruction limit
% 3.41/1.17  % (697680)Termination phase: Saturation
% 3.41/1.17  % (697680)Time elapsed: 0.069 s
% 3.41/1.17  % (697680)Peak memory usage: 89 MB
% 3.41/1.17  % (697680)Instructions burned: 117 (million)
% 3.41/1.17  % (697679)Instruction limit reached! 
% 3.41/1.17  % (697679)------------------------------
% 3.41/1.17  % (697679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.17  % (697679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.17  % (697679)CaDiCaL version: 2.1.3
% 3.41/1.17  % (697679)Termination reason: Instruction limit
% 3.41/1.17  % (697679)Termination phase: Saturation
% 3.41/1.17  % (697679)Time elapsed: 0.122 s
% 3.41/1.17  % (697679)Peak memory usage: 90 MB
% 3.41/1.17  % (697679)Instructions burned: 180 (million)
% 3.41/1.17  % (697688)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=2295409594:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.41/1.17  % (697688)Refutation not found, incomplete strategy
% 3.41/1.17  % (697688)------------------------------
% 3.41/1.17  % (697688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.17  % (697688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.17  % (697688)CaDiCaL version: 2.1.3
% 3.41/1.17  % (697688)Termination reason: Refutation not found, incomplete strategy
% 3.41/1.17  % (697688)Time elapsed: 0.011 s
% 3.41/1.17  % (697688)Peak memory usage: 89 MB
% 3.41/1.17  % (697688)Instructions burned: 15 (million)
% 3.41/1.17  % (697689)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1292683301:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.41/1.17  % (697690)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3370415616:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.41/1.17  % (697678)Refutation found. Thanks to Tanya!
% 3.41/1.17  % SZS status Unsatisfiable for theBenchmark
% 3.41/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.38  % (697678)------------------------------
% 3.99/1.38  % (697678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.38  % (697678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.38  % (697678)CaDiCaL version: 2.1.3
% 3.99/1.38  % (697678)Termination reason: Refutation
% 3.99/1.38  % (697678)Time elapsed: 0.042 s
% 3.99/1.38  % (697678)Peak memory usage: 90 MB
% 3.99/1.38  % (697678)Instructions burned: 60 (million)
% 3.99/1.38  % (697678)------------------------------
% 3.99/1.38  % (697678)------------------------------
% 3.99/1.38  % (697669)Success in time 0.502 s
% 3.99/1.38  % Vampire exiting
%------------------------------------------------------------------------------