TSTP Solution File: SWV353-2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV353-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 03:14:13 EDT 2024

% Result   : Unsatisfiable 2.50s 1.13s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   2 nHn;  15 RR)
%            Number of literals    :   28 (   8 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   36 (  24 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_50,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_51,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_evso,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_52,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_53,negated_conjecture,
    ( c_Message_Omsg_OKey(v_K) != X0
    | v_NAa != v_NA ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).

cnf(c_54,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(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_OMPair(X3,X4)))),X5)),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X6,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,X4))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).

cnf(c_55,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X7,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | X5 = X12
    | c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).

cnf(c_56,negated_conjecture,
    v_NAa != v_NA,
    inference(unflattening,[status(thm)],[c_53]) ).

cnf(c_345,plain,
    ( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | 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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(superposition,[status(thm)],[c_50,c_54]) ).

cnf(c_346,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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
    inference(global_subsumption_just,[status(thm)],[c_345,c_49,c_345]) ).

cnf(c_348,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
    | X4 = v_NA
    | c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
    inference(superposition,[status(thm)],[c_51,c_55]) ).

cnf(c_350,plain,
    ( X4 = v_NA
    | ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(global_subsumption_just,[status(thm)],[c_348,c_49,c_52,c_348]) ).

cnf(c_351,plain,
    ( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
    | X4 = v_NA ),
    inference(renaming,[status(thm)],[c_350]) ).

cnf(c_353,plain,
    v_NAa = v_NA,
    inference(superposition,[status(thm)],[c_346,c_351]) ).

cnf(c_354,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_353,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV353-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri May  3 00:16:58 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.50/1.13  % SZS status Started for theBenchmark.p
% 2.50/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.13  
% 2.50/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.50/1.13  
% 2.50/1.13  ------  iProver source info
% 2.50/1.13  
% 2.50/1.13  git: date: 2024-05-02 19:28:25 +0000
% 2.50/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.50/1.13  git: non_committed_changes: false
% 2.50/1.13  
% 2.50/1.13  ------ Parsing...successful
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.50/1.13  
% 2.50/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.50/1.13  
% 2.50/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.50/1.13  ------ Proving...
% 2.50/1.13  ------ Problem Properties 
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  clauses                                 7
% 2.50/1.13  conjectures                             5
% 2.50/1.13  EPR                                     1
% 2.50/1.13  Horn                                    6
% 2.50/1.13  unary                                   5
% 2.50/1.13  binary                                  0
% 2.50/1.13  lits                                    13
% 2.50/1.13  lits eq                                 2
% 2.50/1.13  fd_pure                                 0
% 2.50/1.13  fd_pseudo                               0
% 2.50/1.13  fd_cond                                 0
% 2.50/1.13  fd_pseudo_cond                          1
% 2.50/1.13  AC symbols                              0
% 2.50/1.13  
% 2.50/1.13  ------ Input Options Time Limit: Unbounded
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  ------ 
% 2.50/1.13  Current options:
% 2.50/1.13  ------ 
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  ------ Proving...
% 2.50/1.13  
% 2.50/1.13  
% 2.50/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.50/1.13  
% 2.50/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.50/1.13  
% 2.50/1.13  
%------------------------------------------------------------------------------