%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV801-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 21:45:13 EDT 2022

% Result   : Unsatisfiable 0.42s 0.60s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   8 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(237,axiom,
    ( ~ c_in(u,c_Message_OsymKeys,tc_nat)
    | equal(c_Message_OinvKey(u),u) ),
    file('SWV801-1.p',unknown),
    [] ).

cnf(388,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg)
    | c_in(c_Message_OinvKey(u),c_Message_OkeysFor(w),tc_nat) ),
    file('SWV801-1.p',unknown),
    [] ).

cnf(444,axiom,
    ( ~ c_in(u,c_Message_OsymKeys,tc_nat)
    | ~ c_in(v,c_NS__Shared__Mirabelle_Ons__shared,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(hAPP(c_Message_Omsg_OKey,u),c_Event_Oused(v),tc_Message_Omsg) ),
    file('SWV801-1.p',unknown),
    [] ).

cnf(565,axiom,
    c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('SWV801-1.p',unknown),
    [] ).

cnf(566,axiom,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('SWV801-1.p',unknown),
    [] ).

cnf(567,axiom,
    c_in(v_KAB,c_Message_OsymKeys,tc_nat),
    file('SWV801-1.p',unknown),
    [] ).

cnf(575,axiom,
    c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('SWV801-1.p',unknown),
    [] ).

cnf(623,plain,
    equal(c_Message_OinvKey(v_KAB),v_KAB),
    inference(res,[status(thm),theory(equality)],[567,237]),
    [iquote('0:Res:567.0,237.0')] ).

cnf(754,plain,
    ( ~ c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)
    | ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(v_KAB,c_Message_OsymKeys,tc_nat) ),
    inference(res,[status(thm),theory(equality)],[444,566]),
    [iquote('0:Res:444.3,566.0')] ).

cnf(814,plain,
    c_in(c_Message_OinvKey(v_KAB),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
    inference(res,[status(thm),theory(equality)],[575,388]),
    [iquote('0:Res:575.0,388.0')] ).

cnf(904,plain,
    c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
    inference(rew,[status(thm),theory(equality)],[623,814]),
    [iquote('0:Rew:623.0,814.0')] ).

cnf(909,plain,
    $false,
    inference(mrr,[status(thm)],[754,904,565,567]),
    [iquote('0:MRR:754.0,754.1,754.2,904.0,565.0,567.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV801-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Wed Jun 15 11:28:35 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.42/0.60  
% 0.42/0.60  SPASS V 3.9 
% 0.42/0.60  SPASS beiseite: Proof found.
% 0.42/0.60  % SZS status Theorem
% 0.42/0.60  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.42/0.60  SPASS derived 221 clauses, backtracked 0 clauses, performed 0 splits and kept 538 clauses.
% 0.42/0.60  SPASS allocated 77208 KBytes.
% 0.42/0.60  SPASS spent	0:00:00.23 on the problem.
% 0.42/0.60  		0:00:00.05 for the input.
% 0.42/0.60  		0:00:00.00 for the FLOTTER CNF translation.
% 0.42/0.60  		0:00:00.00 for inferences.
% 0.42/0.60  		0:00:00.00 for the backtracking.
% 0.42/0.60  		0:00:00.07 for the reduction.
% 0.42/0.60  
% 0.42/0.60  
% 0.42/0.60  Here is a proof with depth 1, length 12 :
% 0.42/0.60  % SZS output start Refutation
% See solution above
% 0.42/0.60  Formulae used in the proof : cls_invKey__K_0 cls_Crypt__imp__invKey__keysFor_0 cls_new__keys__not__used_0 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_12
% 0.42/0.60  
%------------------------------------------------------------------------------