TSTP Solution File: SWV799-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV799-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n012.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 21:45:12 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :    5 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(416,axiom,
    ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(c_Event_OinitState(w)),tc_Message_Omsg),
    file('SWV799-1.p',unknown),
    [] ).

cnf(424,axiom,
    equal(c_Event_Oknows(u,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_OinitState(u)),
    file('SWV799-1.p',unknown),
    [] ).

cnf(631,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,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,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('SWV799-1.p',unknown),
    [] ).

cnf(642,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg),
    inference(rew,[status(thm),theory(equality)],[424,631]),
    [iquote('0:Rew:424.0,631.0')] ).

cnf(643,plain,
    $false,
    inference(mrr,[status(thm)],[642,416]),
    [iquote('0:MRR:642.0,416.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV799-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 02:12:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.50  
% 0.19/0.50  SPASS V 3.9 
% 0.19/0.50  SPASS beiseite: Proof found.
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.50  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 223 clauses.
% 0.19/0.50  SPASS allocated 76773 KBytes.
% 0.19/0.50  SPASS spent	0:00:00.14 on the problem.
% 0.19/0.50  		0:00:00.06 for the input.
% 0.19/0.50  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.50  		0:00:00.00 for inferences.
% 0.19/0.50  		0:00:00.00 for the backtracking.
% 0.19/0.50  		0:00:00.03 for the reduction.
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  Here is a proof with depth 0, length 5 :
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  Formulae used in the proof : cls_Crypt__notin__initState_0 cls_knows__Nil_0 cls_conjecture_4
% 0.19/0.50  
%------------------------------------------------------------------------------