TSTP Solution File: SWV314-2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %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  : 600s
% DateTime : Wed Jul 20 21:42:13 EDT 2022

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   4 nHn;  11 RR)
%            Number of literals    :   23 (   0 equ;  10 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   29 (  29 usr;  19 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_in(u,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OKey(v),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,w,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(y),c_Message_Omsg_OMPair(x,c_Message_Omsg_OKey(v))),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(z,c_Message_Omsg_OKey(v)))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(y,c_Event_Obad,tc_Message_Oagent)
    | c_in(w,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(z,c_Message_Omsg_OKey(v)))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
    file('SWV314-2.p',unknown),
    [] ).

cnf(2,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_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('SWV314-2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('SWV314-2.p',unknown),
    [] ).

cnf(4,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('SWV314-2.p',unknown),
    [] ).

cnf(5,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('SWV314-2.p',unknown),
    [] ).

cnf(6,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('SWV314-2.p',unknown),
    [] ).

cnf(7,axiom,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('SWV314-2.p',unknown),
    [] ).

cnf(14,plain,
    ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | c_in(u,c_Event_Obad,tc_Message_Oagent)
    | c_in(v,c_Event_Obad,tc_Message_Oagent) ),
    inference(res,[status(thm),theory(equality)],[1,3]),
    [iquote('0:Res:1.5,3.0')] ).

cnf(15,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v,c_Event_Obad,tc_Message_Oagent)
    | c_in(u,c_Event_Obad,tc_Message_Oagent) ),
    inference(mrr,[status(thm)],[14,6,7]),
    [iquote('0:MRR:14.0,14.2,6.0,7.0')] ).

cnf(17,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(res,[status(thm),theory(equality)],[2,15]),
    [iquote('0:Res:2.0,15.0')] ).

cnf(18,plain,
    $false,
    inference(mrr,[status(thm)],[17,4,5]),
    [iquote('0:MRR:17.0,17.1,4.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 23:28:45 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.41  
% 0.18/0.41  SPASS V 3.9 
% 0.18/0.41  SPASS beiseite: Proof found.
% 0.18/0.41  % SZS status Theorem
% 0.18/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.41  SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.18/0.41  SPASS allocated 63168 KBytes.
% 0.18/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.18/0.41  		0:00:00.04 for the input.
% 0.18/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41  		0:00:00.00 for inferences.
% 0.18/0.41  		0:00:00.00 for the backtracking.
% 0.18/0.41  		0:00:00.00 for the reduction.
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Here is a proof with depth 2, length 11 :
% 0.18/0.41  % SZS output start Refutation
% See solution above
% 0.18/0.41  Formulae used in the proof : cls_OtwayRees_Osecrecy__lemma__dest_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5
% 0.18/0.41  
%------------------------------------------------------------------------------