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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV292-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 2.52s 0.74s
% Output   : Refutation 2.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   64 (  19 unt;   6 def)
%            Number of atoms       :  126 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  113 (  51   ~;  56   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   7 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  15 con; 0-3 aty)
%            Number of variables   :   35 (   0 sgn  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f4,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_evs4),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f5,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_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f6,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_evs4,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_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f8,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).

fof(f9,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/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).

fof(f12,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X1,X2,X0),X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

fof(f15,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/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).

fof(f16,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/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f18,definition,
    ( spl0_1
  <=> 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_evs4)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f20,plain,
    ( ~ 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_evs4)),tc_Message_Omsg)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f22,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_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f25,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f22,f18]) ).

fof(f26,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f5,f22]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
    inference(resolution,[],[f11,f13]) ).

fof(f29,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),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_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(resolution,[],[f9,f4]) ).

fof(f31,definition,
    ( spl0_3
  <=> 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_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f33,plain,
    ( 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_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f35,definition,
    ( spl0_4
  <=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f37,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f38,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f29,f35,f31]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(resolution,[],[f14,f7]) ).

fof(f41,plain,
    ( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(resolution,[],[f40,f3]) ).

fof(f42,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f41,f2]) ).

fof(f44,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
    inference(resolution,[],[f42,f10]) ).

fof(f46,plain,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
    inference(resolution,[],[f44,f27]) ).

fof(f49,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f46,f37]) ).

fof(f50,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f52,plain,
    ( 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_evs4)),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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f33,f16]) ).

fof(f53,plain,
    ( 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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f52,f20]) ).

fof(f54,plain,
    ( 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),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_evs4)),tc_Message_Omsg)
    | spl0_1
    | ~ spl0_3 ),
    inference(resolution,[],[f53,f8]) ).

fof(f56,definition,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f58,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f60,definition,
    ( spl0_6
  <=> 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f62,plain,
    ( 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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f63,plain,
    ( spl0_5
    | spl0_6
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f54,f31,f18,f60,f56]) ).

fof(f64,plain,
    ( 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_evs4)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(resolution,[],[f62,f12]) ).

fof(f65,plain,
    ( $false
    | spl0_1
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f64,f20]) ).

fof(f66,plain,
    ( spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f65]) ).

fof(f67,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(resolution,[],[f58,f12]) ).

fof(f68,plain,
    ( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_5 ),
    inference(resolution,[],[f67,f15]) ).

fof(f69,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f68,f2]) ).

fof(f70,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f69,f1]) ).

fof(f71,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f70]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f25]) ).

cnf(s2,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f26]) ).

cnf(s3,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f38]) ).

cnf(s4,plain,
    spl0_4,
    inference(sat_conversion,[],[f50]) ).

cnf(s5,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s6,plain,
    ( spl0_1
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f66]) ).

cnf(s7,plain,
    ~ spl0_5,
    inference(sat_conversion,[],[f71]) ).

cnf(s8,plain,
    ( spl0_1
    | ~ spl0_3
    | spl0_6 ),
    inference(rat,[],[s5,s7]) ).

cnf(s9,plain,
    spl0_3,
    inference(rat,[],[s3,s4]) ).

cnf(s10,plain,
    ~ spl0_1,
    inference(rat,[],[s1,s2]) ).

cnf(s11,plain,
    ~ spl0_6,
    inference(rat,[],[s6,s10]) ).

cnf(s12,plain,
    $false,
    inference(rat,[],[s8,s9,s11,s10]) ).

fof(f72,plain,
    $false,
    inference(avatar_sat_refutation,[],[s12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV292-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 10:27:19 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.13  Running first-order theorem proving
% 0.08/0.13  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.52/0.74  % (3293234)Input is clausal, will run a generic CNF schedule.
% 2.52/0.74  % (3293249)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4155030801:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/0.74  % (3293247)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=2649473015:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/0.74  % (3293248)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1531153471:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/0.74  % (3293252)lrs+10_1_sil=8000:sp=occurrence:random_seed=137110070:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/0.74  % (3293256)dis-21_1_sil=8000:lcm=predicate:random_seed=4107982301: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)
% 2.52/0.74  % (3293253)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=113028549:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/0.74  % (3293253)Refutation not found, incomplete strategy
% 2.52/0.74  % (3293253)------------------------------
% 2.52/0.74  % (3293253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.74  % (3293253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.74  % (3293253)CaDiCaL version: 2.1.3
% 2.52/0.74  % (3293253)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.74  % (3293253)Time elapsed: 0.002 s
% 2.52/0.74  % (3293253)Peak memory usage: 88 MB
% 2.52/0.74  % (3293253)Instructions burned: 1 (million)
% 2.52/0.74  % (3293252)First to succeed.
% 2.52/0.74  % (3293256)Also succeeded, but the first one will report.
% 2.52/0.74  % (3293252)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3293234"
% 2.52/0.74  % (3293255)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3184218648:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/0.74  % (3293255)Also succeeded, but the first one will report.
% 2.52/0.74  % (3293253)------------------------------
% 2.52/0.74  % (3293253)------------------------------
% 2.52/0.74  % (3293252)Refutation found. Thanks to Tanya!
% 2.52/0.74  % SZS status Unsatisfiable for theBenchmark
% 2.52/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.84  % (3293252)------------------------------
% 2.93/0.84  % (3293252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/0.84  % (3293252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/0.84  % (3293252)CaDiCaL version: 2.1.3
% 2.93/0.84  % (3293252)Termination reason: Refutation
% 2.93/0.84  % (3293252)Time elapsed: 0.003 s
% 2.93/0.84  % (3293252)Peak memory usage: 89 MB
% 2.93/0.84  % (3293252)Instructions burned: 3 (million)
% 2.93/0.84  % (3293252)------------------------------
% 2.93/0.84  % (3293252)------------------------------
% 2.93/0.84  % (3293234)Success in time 0.382 s
% 2.93/0.84  % Vampire exiting
%------------------------------------------------------------------------------