TSTP Solution File: SWV331-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV331-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 : Tue Apr 30 16:44:33 EDT 2024

% Result   : Unsatisfiable 0.17s 0.35s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   44 (  20   ~;  20   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f18,f28,f30,f32]) ).

fof(f32,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f23,f2]) ).

fof(f2,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f23,plain,
    ( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f30,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f27,f1]) ).

fof(f1,axiom,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f27,plain,
    ( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_4
  <=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f28,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f19,f13,f25,f21,f9]) ).

fof(f9,plain,
    ( spl0_1
  <=> c_in(v_K,c_Message_OsymKeys,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f13,plain,
    ( spl0_2
  <=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f19,plain,
    ( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg)
    | ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | ~ spl0_2 ),
    inference(resolution,[],[f15,f6]) ).

fof(f6,axiom,
    ! [X3,X0] :
      ( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_nat)
      | ~ c_in(X3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X3),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Onew__keys__not__used_0) ).

fof(f15,plain,
    ( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f18,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f17]) ).

fof(f17,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f11,f3]) ).

fof(f3,axiom,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f11,plain,
    ( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f16,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f7,f13,f9]) ).

fof(f7,plain,
    ( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
    | ~ c_in(v_K,c_Message_OsymKeys,tc_nat) ),
    inference(resolution,[],[f5,f4]) ).

fof(f4,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
      | c_in(X0,c_Message_OkeysFor(X2),tc_nat)
      | ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OCrypt__imp__keysFor_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV331-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n018.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 05:04:28 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (17857)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34  % (17860)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.17/0.35  % (17860)First to succeed.
% 0.17/0.35  % (17858)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.35  % (17863)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.17/0.35  % (17864)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.17/0.35  % (17862)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.17/0.35  % (17859)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35  % (17861)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.17/0.35  % (17863)Also succeeded, but the first one will report.
% 0.17/0.35  % (17860)Refutation found. Thanks to Tanya!
% 0.17/0.35  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35  % (17860)------------------------------
% 0.17/0.35  % (17860)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.35  % (17860)Termination reason: Refutation
% 0.17/0.35  
% 0.17/0.35  % (17860)Memory used [KB]: 748
% 0.17/0.35  % (17860)Time elapsed: 0.002 s
% 0.17/0.35  % (17860)Instructions burned: 3 (million)
% 0.17/0.35  % (17860)------------------------------
% 0.17/0.35  % (17860)------------------------------
% 0.17/0.35  % (17857)Success in time 0.015 s
%------------------------------------------------------------------------------