TSTP Solution File: SWV357-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV357-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 21:42:29 EDT 2022

% Result   : Unsatisfiable 1.68s 1.86s
% Output   : Refutation 1.68s
% 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    :    4 (   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(3,axiom,
    c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('SWV357-1.p',unknown),
    [] ).

cnf(5,axiom,
    c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
    file('SWV357-1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    file('SWV357-1.p',unknown),
    [] ).

cnf(2842,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('SWV357-1.p',unknown),
    [] ).

cnf(2945,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('SWV357-1.p',unknown),
    [] ).

cnf(3338,plain,
    ~ c_in(c_Message_Omsg_OMPair(u,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[2842,7]),
    [iquote('0:Res:2842.1,7.0')] ).

cnf(3385,plain,
    ( ~ c_in(v_evs2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
    inference(res,[status(thm),theory(equality)],[5,2945]),
    [iquote('0:Res:5.0,2945.1')] ).

cnf(3451,plain,
    $false,
    inference(mrr,[status(thm)],[3385,3,3338]),
    [iquote('0:MRR:3385.0,3385.1,3.0,3338.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV357-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 23:19:19 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.68/1.86  
% 1.68/1.86  SPASS V 3.9 
% 1.68/1.86  SPASS beiseite: Proof found.
% 1.68/1.86  % SZS status Theorem
% 1.68/1.86  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.68/1.86  SPASS derived 194 clauses, backtracked 0 clauses, performed 0 splits and kept 2906 clauses.
% 1.68/1.86  SPASS allocated 80456 KBytes.
% 1.68/1.86  SPASS spent	0:00:01.43 on the problem.
% 1.68/1.86  		0:00:00.23 for the input.
% 1.68/1.86  		0:00:00.00 for the FLOTTER CNF translation.
% 1.68/1.86  		0:00:00.00 for inferences.
% 1.68/1.86  		0:00:00.00 for the backtracking.
% 1.68/1.86  		0:00:00.74 for the reduction.
% 1.68/1.86  
% 1.68/1.86  
% 1.68/1.86  Here is a proof with depth 1, length 8 :
% 1.68/1.86  % SZS output start Refutation
% See solution above
% 1.68/1.86  Formulae used in the proof : cls_conjecture_2 cls_conjecture_4 cls_conjecture_6 cls_Message_OMPair__analz_0 cls_Yahalom_OGets__imp__analz__Spy__dest_0
% 1.68/1.86  
%------------------------------------------------------------------------------