%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV331-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 21:42:19 EDT 2022

% Result   : Unsatisfiable 55.41s 55.58s
% Output   : Refutation 55.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;  10 RR)
%            Number of literals    :   18 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   20 (  20 usr;  12 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('SWV331-1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
    file('SWV331-1.p',unknown),
    [] ).

cnf(3,axiom,
    c_in(v_K,c_Message_OsymKeys,tc_nat),
    file('SWV331-1.p',unknown),
    [] ).

cnf(6,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('SWV331-1.p',unknown),
    [] ).

cnf(2961,axiom,
    ( ~ c_in(u,c_Message_OsymKeys,tc_nat)
    | ~ c_in(v,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(u,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v))),tc_nat)
    | c_in(c_Message_Omsg_OKey(u),c_Event_Oused(v),tc_Message_Omsg) ),
    file('SWV331-1.p',unknown),
    [] ).

cnf(2964,axiom,
    ( ~ c_in(u,c_Message_OsymKeys,tc_nat)
    | ~ c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg)
    | c_in(u,c_Message_OkeysFor(w),tc_nat) ),
    file('SWV331-1.p',unknown),
    [] ).

cnf(3273,plain,
    ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
    | ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
    inference(res,[status(thm),theory(equality)],[2961,2]),
    [iquote('0:Res:2961.3,2.0')] ).

cnf(3433,plain,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
    inference(mrr,[status(thm)],[3273,3,1]),
    [iquote('0:MRR:3273.1,3273.2,3.0,1.0')] ).

cnf(87869,plain,
    ( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
    | c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
    inference(res,[status(thm),theory(equality)],[6,2964]),
    [iquote('0:Res:6.0,2964.1')] ).

cnf(87905,plain,
    $false,
    inference(mrr,[status(thm)],[87869,3,3433]),
    [iquote('0:MRR:87869.0,87869.1,3.0,3433.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV331-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n011.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 02:53:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 55.41/55.58  
% 55.41/55.58  SPASS V 3.9 
% 55.41/55.58  SPASS beiseite: Proof found.
% 55.41/55.58  % SZS status Theorem
% 55.41/55.58  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 55.41/55.58  SPASS derived 68017 clauses, backtracked 191 clauses, performed 3 splits and kept 16748 clauses.
% 55.41/55.58  SPASS allocated 134340 KBytes.
% 55.41/55.58  SPASS spent	0:0:53.64 on the problem.
% 55.41/55.58  		0:00:00.23 for the input.
% 55.41/55.58  		0:00:00.00 for the FLOTTER CNF translation.
% 55.41/55.58  		0:00:01.68 for inferences.
% 55.41/55.58  		0:00:00.03 for the backtracking.
% 55.41/55.58  		0:0:50.04 for the reduction.
% 55.41/55.58  
% 55.41/55.58  
% 55.41/55.58  Here is a proof with depth 1, length 10 :
% 55.41/55.58  % SZS output start Refutation
% See solution above
% 55.41/55.58  Formulae used in the proof : cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_5 cls_Yahalom_Onew__keys__not__used_0 cls_Public_OCrypt__imp__keysFor_0
% 55.41/55.58  
%------------------------------------------------------------------------------