TSTP Solution File: SWV340-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV340-2 : 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_sat --cores 0 -t %d %s

% Computer : n026.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 18:56:27 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   61 (  27 unt;   0 def)
%            Number of atoms       :  102 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   79 (  38   ~;  37   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    8 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   39 (  39 usr;  26 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f240,plain,
    $false,
    inference(avatar_sat_refutation,[],[f155,f158,f204,f206,f239]) ).

fof(f239,plain,
    ~ spl14_3,
    inference(avatar_contradiction_clause,[],[f238]) ).

fof(f238,plain,
    ( $false
    | ~ spl14_3 ),
    inference(resolution,[],[f237,f17]) ).

fof(f17,plain,
    ~ c_in(sF1,sF2,tc_Message_Omsg),
    inference(definition_folding,[],[f3,f16,f15]) ).

fof(f15,plain,
    c_Message_Omsg_OKey(v_K) = sF1,
    introduced(function_definition,[]) ).

fof(f16,plain,
    c_Event_Oused(v_evs4) = sF2,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

fof(f237,plain,
    ( c_in(sF1,sF2,tc_Message_Omsg)
    | ~ spl14_3 ),
    inference(forward_demodulation,[],[f236,f16]) ).

fof(f236,plain,
    ( c_in(sF1,c_Event_Oused(v_evs4),tc_Message_Omsg)
    | ~ spl14_3 ),
    inference(resolution,[],[f212,f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/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(f212,plain,
    ( c_in(sF1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl14_3 ),
    inference(resolution,[],[f199,f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ c_in(sF11,c_Message_Oanalz(X0),tc_Message_Omsg)
      | c_in(sF1,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f121,f10]) ).

fof(f10,axiom,
    ! [X4] : c_Message_Oparts(X4) = c_Message_Oparts(c_Message_Oanalz(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

fof(f121,plain,
    ! [X0] :
      ( c_in(sF1,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF11,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f110,f69]) ).

fof(f69,plain,
    ! [X0] :
      ( ~ c_in(sF8,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF1,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f7,f23]) ).

fof(f23,plain,
    sF8 = c_Message_Omsg_OMPair(sF1,sF7),
    introduced(function_definition,[]) ).

fof(f7,axiom,
    ! [X2,X3,X4] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f110,plain,
    ! [X1] :
      ( c_in(sF8,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(sF11,X1,tc_Message_Omsg) ),
    inference(resolution,[],[f102,f34]) ).

fof(f34,plain,
    ! [X1] :
      ( ~ c_in(sF9,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(sF8,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(superposition,[],[f6,f24]) ).

fof(f24,plain,
    sF9 = c_Message_Omsg_OMPair(sF4,sF8),
    introduced(function_definition,[]) ).

fof(f6,axiom,
    ! [X2,X3,X4] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X3),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X3,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

fof(f102,plain,
    ! [X0] :
      ( c_in(sF9,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF11,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f96,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( c_in(sF10,c_Message_Oparts(X0),tc_Message_Omsg)
      | ~ c_in(sF11,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f72,f9]) ).

fof(f9,axiom,
    ! [X2,X4] :
      ( c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg)
      | ~ c_in(X2,X4,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f72,plain,
    ! [X3] :
      ( ~ c_in(sF11,c_Message_Oparts(X3),tc_Message_Omsg)
      | c_in(sF10,c_Message_Oparts(X3),tc_Message_Omsg) ),
    inference(superposition,[],[f7,f26]) ).

fof(f26,plain,
    sF11 = c_Message_Omsg_OMPair(sF10,v_X),
    introduced(function_definition,[]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ c_in(sF10,c_Message_Oparts(X0),tc_Message_Omsg)
      | c_in(sF9,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(superposition,[],[f8,f25]) ).

fof(f25,plain,
    sF10 = c_Message_Omsg_OCrypt(sF3,sF9),
    introduced(function_definition,[]) ).

fof(f8,axiom,
    ! [X2,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X5,X2),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f199,plain,
    ( c_in(sF11,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl14_3 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl14_3
  <=> c_in(sF11,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f206,plain,
    spl14_4,
    inference(avatar_contradiction_clause,[],[f205]) ).

fof(f205,plain,
    ( $false
    | spl14_4 ),
    inference(resolution,[],[f203,f29]) ).

fof(f29,plain,
    c_in(sF12,sF13,tc_Event_Oevent),
    inference(definition_folding,[],[f12,f28,f27,f26,f25,f24,f23,f22,f21,f20,f15,f19,f18]) ).

fof(f18,plain,
    c_Public_OshrK(v_A) = sF3,
    introduced(function_definition,[]) ).

fof(f19,plain,
    c_Message_Omsg_OAgent(v_B) = sF4,
    introduced(function_definition,[]) ).

fof(f20,plain,
    c_Message_Omsg_ONonce(v_NA) = sF5,
    introduced(function_definition,[]) ).

fof(f21,plain,
    c_Message_Omsg_ONonce(v_NB) = sF6,
    introduced(function_definition,[]) ).

fof(f22,plain,
    c_Message_Omsg_OMPair(sF5,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f27,plain,
    c_Event_Oevent_OGets(v_A,sF11) = sF12,
    introduced(function_definition,[]) ).

fof(f28,plain,
    c_List_Oset(v_evs4,tc_Event_Oevent) = sF13,
    introduced(function_definition,[]) ).

fof(f12,plain,
    c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    inference(definition_unfolding,[],[f2,f4]) ).

fof(f4,axiom,
    v_Ka = v_K,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

fof(f2,axiom,
    c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f203,plain,
    ( ~ c_in(sF12,sF13,tc_Event_Oevent)
    | spl14_4 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl14_4
  <=> c_in(sF12,sF13,tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f204,plain,
    ( spl14_3
    | ~ spl14_4
    | ~ spl14_1 ),
    inference(avatar_split_clause,[],[f195,f149,f201,f197]) ).

fof(f149,plain,
    ( spl14_1
  <=> ! [X0,X1] :
        ( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
        | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF13,tc_Event_Oevent) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f195,plain,
    ( ~ c_in(sF12,sF13,tc_Event_Oevent)
    | c_in(sF11,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
    | ~ spl14_1 ),
    inference(superposition,[],[f150,f27]) ).

fof(f150,plain,
    ( ! [X0,X1] :
        ( ~ c_in(c_Event_Oevent_OGets(X0,X1),sF13,tc_Event_Oevent)
        | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) )
    | ~ spl14_1 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f158,plain,
    spl14_2,
    inference(avatar_contradiction_clause,[],[f157]) ).

fof(f157,plain,
    ( $false
    | spl14_2 ),
    inference(resolution,[],[f154,f14]) ).

fof(f14,plain,
    c_in(v_evs4,c_Yahalom_Oyahalom,sF0),
    inference(definition_folding,[],[f1,f13]) ).

fof(f13,plain,
    tc_List_Olist(tc_Event_Oevent) = sF0,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f154,plain,
    ( ~ c_in(v_evs4,c_Yahalom_Oyahalom,sF0)
    | spl14_2 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl14_2
  <=> c_in(v_evs4,c_Yahalom_Oyahalom,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f155,plain,
    ( spl14_1
    | ~ spl14_2 ),
    inference(avatar_split_clause,[],[f147,f152,f149]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ~ c_in(v_evs4,c_Yahalom_Oyahalom,sF0)
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF13,tc_Event_Oevent) ),
    inference(forward_demodulation,[],[f146,f13]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X0,X1),sF13,tc_Event_Oevent)
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
    inference(superposition,[],[f11,f28]) ).

fof(f11,axiom,
    ! [X2,X1,X6] :
      ( ~ c_in(c_Event_Oevent_OGets(X6,X2),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
      | ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 19:31:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (23813)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50  % (23833)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (23818)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50  % (23825)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50  % (23813)First to succeed.
% 0.19/0.50  % (23817)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51  % (23818)Instruction limit reached!
% 0.19/0.51  % (23818)------------------------------
% 0.19/0.51  % (23818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23833)Also succeeded, but the first one will report.
% 0.19/0.51  % (23814)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (23813)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (23813)------------------------------
% 0.19/0.51  % (23813)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (23813)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (23813)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (23813)Memory used [KB]: 5500
% 0.19/0.51  % (23813)Time elapsed: 0.128 s
% 0.19/0.51  % (23813)Instructions burned: 12 (million)
% 0.19/0.51  % (23813)------------------------------
% 0.19/0.51  % (23813)------------------------------
% 0.19/0.51  % (23809)Success in time 0.17 s
%------------------------------------------------------------------------------