TSTP Solution File: SWV346-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV346-2 : 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 : 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 18:56:31 EDT 2022

% Result   : Unsatisfiable 0.23s 0.53s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   15 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f5]) ).

fof(f5,axiom,
    c_Message_Omsg_ONonce(v_NA) != v_na,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f10,plain,
    c_Message_Omsg_ONonce(v_NA) = v_na,
    inference(resolution,[],[f9,f3]) ).

fof(f3,axiom,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),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_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f9,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X5,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
      | v_na = X5 ),
    inference(subsumption_resolution,[],[f7,f2]) ).

fof(f2,axiom,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f7,plain,
    ! [X8,X6,X9,X7,X5] :
      ( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X5,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
      | v_na = X5 ),
    inference(resolution,[],[f1,f4]) ).

fof(f4,axiom,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,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(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1,axiom,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
      | X4 = X9
      | ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15  % Problem    : SWV346-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.38  % Computer : n015.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Tue Aug 30 19:29:51 EDT 2022
% 0.16/0.38  % CPUTime    : 
% 0.23/0.51  % (30113)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.23/0.52  % (30100)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.53  % (30118)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.23/0.53  % (30101)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.53  % (30101)First to succeed.
% 0.23/0.53  % (30114)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.23/0.53  % (30114)Also succeeded, but the first one will report.
% 0.23/0.53  % (30101)Refutation found. Thanks to Tanya!
% 0.23/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.53  % (30101)------------------------------
% 0.23/0.53  % (30101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53  % (30101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53  % (30101)Termination reason: Refutation
% 0.23/0.53  
% 0.23/0.53  % (30101)Memory used [KB]: 5500
% 0.23/0.53  % (30101)Time elapsed: 0.107 s
% 0.23/0.53  % (30101)Instructions burned: 2 (million)
% 0.23/0.53  % (30101)------------------------------
% 0.23/0.53  % (30101)------------------------------
% 0.23/0.53  % (30093)Success in time 0.143 s
%------------------------------------------------------------------------------