TSTP Solution File: SWV359-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV359-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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  : 300s
% DateTime : Fri May  3 03:14:14 EDT 2024

% Result   : Unsatisfiable 0.44s 1.13s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   34 (  17 unt;   0 nHn;  32 RR)
%            Number of literals    :   59 (   2 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :   59 (  29 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__spies_0) ).

cnf(c_50,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
    | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).

cnf(c_51,plain,
    ( ~ c_in(X0,X1,tc_Message_Omsg)
    | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

cnf(c_52,plain,
    c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).

cnf(c_53,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X2,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).

cnf(c_54,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_ONonce(X3)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),X7))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
    | ~ c_in(X4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ono__nonce__YM1__YM2_0) ).

cnf(c_55,negated_conjecture,
    c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_56,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_57,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(c_58,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_118,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(subtyping,[status(esa)],[c_57]) ).

cnf(c_119,negated_conjecture,
    c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
    inference(subtyping,[status(esa)],[c_56]) ).

cnf(c_121,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_18),c_Message_Omsg_OMPair(X0_13,c_Message_Omsg_ONonce(X0_16)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1_13)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2_18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3_18),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0_16),X2_13))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1_13)),tc_Message_Omsg)
    | ~ c_in(X1_13,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(X0_16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1_13)),tc_Message_Omsg) ),
    inference(subtyping,[status(esa)],[c_54]) ).

cnf(c_122,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0_19,X0_13),c_List_Oset(X1_13,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X1_13,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(X0_13,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1_13)),tc_Message_Omsg) ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_123,plain,
    c_Message_Oparts(c_Message_Oanalz(X0_14)) = c_Message_Oparts(X0_14),
    inference(subtyping,[status(esa)],[c_52]) ).

cnf(c_124,plain,
    ( ~ c_in(X0_13,X0_14,tc_Message_Omsg)
    | c_in(X0_13,c_Message_Oparts(X0_14),tc_Message_Omsg) ),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_125,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0_13,X1_13),c_Message_Oparts(X0_14),tc_Message_Omsg)
    | c_in(X1_13,c_Message_Oparts(X0_14),tc_Message_Omsg) ),
    inference(subtyping,[status(esa)],[c_50]) ).

cnf(c_126,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X0_18,X0_19,X0_13),c_List_Oset(X1_13,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X0_13,c_Event_Oknows(c_Message_Oagent_OSpy,X1_13),tc_Message_Omsg) ),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_306,plain,
    ( ~ c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_308,plain,
    ( ~ c_in(X0_13,c_Message_Oanalz(X0_14),tc_Message_Omsg)
    | c_in(X0_13,c_Message_Oparts(X0_14),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_123,c_124]) ).

cnf(c_316,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0_13,X1_13),c_Message_Oparts(X0_14),tc_Message_Omsg)
    | c_in(X1_13,c_Message_Oparts(c_Message_Oanalz(X0_14)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_123,c_125]) ).

cnf(c_332,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_118,c_126]) ).

cnf(c_336,plain,
    ( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_119,c_122]) ).

cnf(c_372,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0_13,X1_13),c_Message_Oparts(X0_14),tc_Message_Omsg)
    | c_in(X1_13,c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(X0_14))),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_123,c_316]) ).

cnf(c_404,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(global_subsumption_just,[status(thm)],[c_336,c_55,c_56,c_306]) ).

cnf(c_407,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(X0_13,X1_13),X0_14,tc_Message_Omsg)
    | c_in(X1_13,c_Message_Oparts(X0_14),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_124,c_125]) ).

cnf(c_412,plain,
    c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_404,c_308]) ).

cnf(c_497,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)))),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_412,c_372]) ).

cnf(c_583,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_123,c_497]) ).

cnf(c_586,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_332,c_407]) ).

cnf(c_667,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_18),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0_13))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
    | ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_586,c_121]) ).

cnf(c_734,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(superposition,[status(thm)],[c_123,c_583]) ).

cnf(c_865,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0_18),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1_18),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),X0_13))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
    inference(global_subsumption_just,[status(thm)],[c_667,c_55,c_58,c_667]) ).

cnf(c_869,plain,
    $false,
    inference(superposition,[status(thm)],[c_734,c_865]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWV359-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 00:46:20 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.44/1.13  % SZS status Started for theBenchmark.p
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.44/1.13  
% 0.44/1.13  ------  iProver source info
% 0.44/1.13  
% 0.44/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.44/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.44/1.13  git: non_committed_changes: false
% 0.44/1.13  
% 0.44/1.13  ------ Parsing...successful
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.13  
% 0.44/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.13  ------ Proving...
% 0.44/1.13  ------ Problem Properties 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  clauses                                 10
% 0.44/1.13  conjectures                             4
% 0.44/1.13  EPR                                     0
% 0.44/1.13  Horn                                    10
% 0.44/1.13  unary                                   5
% 0.44/1.13  binary                                  3
% 0.44/1.13  lits                                    18
% 0.44/1.13  lits eq                                 1
% 0.44/1.13  fd_pure                                 0
% 0.44/1.13  fd_pseudo                               0
% 0.44/1.13  fd_cond                                 0
% 0.44/1.13  fd_pseudo_cond                          0
% 0.44/1.13  AC symbols                              0
% 0.44/1.13  
% 0.44/1.13  ------ Input Options Time Limit: Unbounded
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ 
% 0.44/1.13  Current options:
% 0.44/1.13  ------ 
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  ------ Proving...
% 0.44/1.13  
% 0.44/1.13  
% 0.44/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 0.44/1.13  
% 0.44/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.13  
% 0.44/1.13  
%------------------------------------------------------------------------------