%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV307-1 : 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 21:42:10 EDT 2022

% Result   : Unsatisfiable 0.72s 0.91s
% Output   : Refutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('SWV307-1.p',unknown),
    [] ).

cnf(6,axiom,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('SWV307-1.p',unknown),
    [] ).

cnf(8,axiom,
    equal(c_Message_Omsg_ONonce(v_NB),v_NA),
    file('SWV307-1.p',unknown),
    [] ).

cnf(1371,axiom,
    ( ~ c_in(u,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v)),tc_Message_Omsg)
    | c_in(u,c_Event_Oused(v),tc_Message_Omsg) ),
    file('SWV307-1.p',unknown),
    [] ).

cnf(1452,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(w),tc_Message_Omsg)
    | c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
    file('SWV307-1.p',unknown),
    [] ).

cnf(1455,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Event_Oused(w),tc_Message_Omsg)
    | c_in(u,c_Event_Oused(w),tc_Message_Omsg) ),
    file('SWV307-1.p',unknown),
    [] ).

cnf(1482,plain,
    ~ c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(rew,[status(thm),theory(equality)],[8,4]),
    [iquote('0:Rew:8.0,4.0')] ).

cnf(1528,plain,
    ~ c_in(c_Message_Omsg_OMPair(v_NA,u),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[1455,1482]),
    [iquote('0:Res:1455.1,1482.0')] ).

cnf(1568,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[6,1452]),
    [iquote('0:Res:6.0,1452.0')] ).

cnf(1880,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[1568,1371]),
    [iquote('0:Res:1568.0,1371.0')] ).

cnf(1883,plain,
    $false,
    inference(mrr,[status(thm)],[1880,1528]),
    [iquote('0:MRR:1880.0,1528.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV307-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jun 14 22:36:59 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.72/0.91  
% 0.72/0.91  SPASS V 3.9 
% 0.72/0.91  SPASS beiseite: Proof found.
% 0.72/0.91  % SZS status Theorem
% 0.72/0.91  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.72/0.91  SPASS derived 328 clauses, backtracked 0 clauses, performed 0 splits and kept 1549 clauses.
% 0.72/0.91  SPASS allocated 78223 KBytes.
% 0.72/0.91  SPASS spent	0:00:00.52 on the problem.
% 0.72/0.91  		0:00:00.09 for the input.
% 0.72/0.91  		0:00:00.00 for the FLOTTER CNF translation.
% 0.72/0.91  		0:00:00.04 for inferences.
% 0.72/0.91  		0:00:00.00 for the backtracking.
% 0.72/0.91  		0:00:00.13 for the reduction.
% 0.72/0.91  
% 0.72/0.91  
% 0.72/0.91  Here is a proof with depth 2, length 11 :
% 0.72/0.91  % SZS output start Refutation
% See solution above
% 0.72/0.91  Formulae used in the proof : cls_conjecture_2 cls_conjecture_4 cls_conjecture_6 cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 cls_Message_Oparts_OBody__dest_0 cls_Public_OMPair__used_1
% 0.72/0.91  
%------------------------------------------------------------------------------