TSTP Solution File: SWV313-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SWV313-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.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 : Thu May  9 17:44:42 EDT 2024

% Result   : Unsatisfiable 0.36s 0.59s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   5 nHn;  15 RR)
%            Number of literals    :   31 (   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    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ 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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_4,negated_conjecture,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_Message_Oanalz_OInj_0,axiom,
    ( ~ c_in(X2,X3,tc_Message_Omsg)
    | c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).

cnf(c0,plain,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[status(thm)],[cls_Message_Oanalz_OInj_0,cls_conjecture_5]) ).

cnf(cls_conjecture_0,negated_conjecture,
    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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_OtwayRees_Osecrecy__lemma__dest_0,axiom,
    ( ~ c_in(X4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X9,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X8))),c_Message_Omsg_OCrypt(c_Public_OshrK(X9),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X8)))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X8),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | c_in(X9,c_Event_Obad,tc_Message_Oagent)
    | c_in(X6,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X8)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).

cnf(c11,plain,
    ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(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(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | 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) ),
    inference(resolution,[status(thm)],[cls_OtwayRees_Osecrecy__lemma__dest_0,cls_conjecture_0]) ).

cnf(c17,plain,
    ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | 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) ),
    inference(resolution,[status(thm)],[c11,c0]) ).

cnf(c21,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | 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) ),
    inference(resolution,[status(thm)],[c17,cls_conjecture_4]) ).

cnf(c24,plain,
    ( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[status(thm)],[c21,cls_conjecture_1]) ).

cnf(c26,plain,
    c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    inference(resolution,[status(thm)],[c24,cls_conjecture_3]) ).

cnf(c28,plain,
    $false,
    inference(resolution,[status(thm)],[c26,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV313-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n016.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 : Thu May  9 05:41:38 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.36/0.59  % Version:  1.5
% 0.36/0.59  % SZS status Unsatisfiable
% 0.36/0.59  % SZS output start CNFRefutation
% See solution above
% 0.36/0.59  
% 0.36/0.59  % Initial clauses    : 8
% 0.36/0.59  % Processed clauses  : 32
% 0.36/0.59  % Factors computed   : 0
% 0.36/0.59  % Resolvents computed: 29
% 0.36/0.59  % Tautologies deleted: 0
% 0.36/0.59  % Forward subsumed   : 0
% 0.36/0.59  % Backward subsumed  : 4
% 0.36/0.59  % -------- CPU Time ---------
% 0.36/0.59  % User time          : 0.209 s
% 0.36/0.59  % System time        : 0.012 s
% 0.36/0.59  % Total time         : 0.221 s
%------------------------------------------------------------------------------