%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV364-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 21:42:32 EDT 2022

% Result   : Unsatisfiable 0.35s 0.58s
% Output   : Refutation 0.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  11 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(34,axiom,
    ( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OGets(v,w),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(w,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
    file('SWV364-1.p',unknown),
    [] ).

cnf(35,axiom,
    c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('SWV364-1.p',unknown),
    [] ).

cnf(36,axiom,
    c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('SWV364-1.p',unknown),
    [] ).

cnf(37,axiom,
    ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('SWV364-1.p',unknown),
    [] ).

cnf(1432,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oanalz(w),tc_Message_Omsg)
    | c_in(v,c_Message_Oanalz(w),tc_Message_Omsg) ),
    file('SWV364-1.p',unknown),
    [] ).

cnf(1506,plain,
    ~ c_in(c_Message_Omsg_OMPair(u,v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[1432,37]),
    [iquote('0:Res:1432.1,37.0')] ).

cnf(1528,plain,
    ( ~ c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(res,[status(thm),theory(equality)],[35,34]),
    [iquote('0:Res:35.0,34.1')] ).

cnf(1532,plain,
    $false,
    inference(mrr,[status(thm)],[1528,36,1506]),
    [iquote('0:MRR:1528.0,1528.1,36.0,1506.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : SWV364-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.10  % Command  : run_spass %d %s
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Tue Jun 14 21:18:43 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.35/0.58  
% 0.35/0.58  SPASS V 3.9 
% 0.35/0.58  SPASS beiseite: Proof found.
% 0.35/0.58  % SZS status Theorem
% 0.35/0.58  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.35/0.58  SPASS derived 25 clauses, backtracked 0 clauses, performed 0 splits and kept 1438 clauses.
% 0.35/0.58  SPASS allocated 77890 KBytes.
% 0.35/0.58  SPASS spent	0:00:00.27 on the problem.
% 0.35/0.58  		0:00:00.07 for the input.
% 0.35/0.58  		0:00:00.00 for the FLOTTER CNF translation.
% 0.35/0.58  		0:00:00.00 for inferences.
% 0.35/0.58  		0:00:00.00 for the backtracking.
% 0.35/0.58  		0:00:00.09 for the reduction.
% 0.35/0.58  
% 0.35/0.58  
% 0.35/0.58  Here is a proof with depth 1, length 8 :
% 0.35/0.58  % SZS output start Refutation
% See solution above
% 0.35/0.58  Formulae used in the proof : cls_Yahalom_OGets__imp__analz__Spy__dest_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_Message_OMPair__analz_0
% 0.35/0.58  
%------------------------------------------------------------------------------