TSTP Solution File: SWV302-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:44:58 EDT 2022

% Result   : Unsatisfiable 1.48s 0.56s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   5 unt;   0 def)
%            Number of atoms       :   56 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   56 (  29   ~;  23   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  12 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f18,f27,f29,f37]) ).

fof(f37,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f36]) ).

fof(f36,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f35,f30]) ).

fof(f30,plain,
    ( ~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f22]) ).

fof(f22,plain,
    ( v_NB = c_Message_Omsg_ONonce(v_NBa)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_3
  <=> v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f35,plain,
    ( c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f33,f6]) ).

fof(f6,axiom,
    ! [X2,X1] :
      ( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
      | c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(f33,plain,
    ( c_in(v_NB,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f32,f7]) ).

fof(f7,axiom,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X3,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f32,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f8,f15]) ).

fof(f15,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f8,axiom,
    ! [X3,X6,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X6,X3),c_Message_Oparts(X5),tc_Message_Omsg)
      | c_in(X3,c_Message_Oparts(X5),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f29,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f28]) ).

fof(f28,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f26,f12]) ).

fof(f12,plain,
    ( ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl0_1
  <=> ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f26,plain,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_4
  <=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f27,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1,f24,f20]) ).

fof(f1,axiom,
    ( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
    | v_NB = c_Message_Omsg_ONonce(v_NBa) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).

fof(f18,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f4,f14]) ).

fof(f4,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f17,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f9,f14,f11]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(subsumption_resolution,[],[f2,f5]) ).

fof(f5,axiom,
    ~ 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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f2,axiom,
    ! [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(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,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_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 19:25:51 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.54  % (19200)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.48/0.55  % (19200)First to succeed.
% 1.48/0.55  % (19216)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.48/0.56  % (19200)Refutation found. Thanks to Tanya!
% 1.48/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.48/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.56  % (19200)------------------------------
% 1.48/0.56  % (19200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.56  % (19200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.56  % (19200)Termination reason: Refutation
% 1.48/0.56  
% 1.48/0.56  % (19200)Memory used [KB]: 5884
% 1.48/0.56  % (19200)Time elapsed: 0.132 s
% 1.48/0.56  % (19200)Instructions burned: 2 (million)
% 1.48/0.56  % (19200)------------------------------
% 1.48/0.56  % (19200)------------------------------
% 1.48/0.56  % (19196)Success in time 0.2 s
%------------------------------------------------------------------------------