TSTP Solution File: SWV289-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV289-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 03:13:59 EDT 2024

% Result   : Unsatisfiable 8.05s 1.73s
% Output   : CNFRefutation 8.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (   9 unt;   4 nHn;  15 RR)
%            Number of literals    :   33 (   0 equ;  15 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   20 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,plain,
    ( ~ c_in(c_Event_Oevent_OSays(X0,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X0)))))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X7)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X7))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X7)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OB__trusts__OR3__dest_0) ).

cnf(c_51,plain,
    ( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(X3))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X0,c_Event_Obad,tc_Message_Oagent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0) ).

cnf(c_54,negated_conjecture,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_55,negated_conjecture,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_56,negated_conjecture,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_57,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_58,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_59,negated_conjecture,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_60,negated_conjecture,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_26295,plain,
    ( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_54,c_49]) ).

cnf(c_26402,plain,
    ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(global_subsumption_just,[status(thm)],[c_26295,c_59,c_58,c_26295]) ).

cnf(c_26403,plain,
    ( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
    inference(renaming,[status(thm)],[c_26402]) ).

cnf(c_26409,plain,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(superposition,[status(thm)],[c_55,c_26403]) ).

cnf(c_26991,plain,
    ( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
    | ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(v_B,c_Event_Obad,tc_Message_Oagent)
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    inference(superposition,[status(thm)],[c_26409,c_51]) ).

cnf(c_26993,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_26991,c_56,c_60,c_57,c_58,c_59]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV289-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:07:13 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  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
% 8.05/1.73  % SZS status Started for theBenchmark.p
% 8.05/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 8.05/1.73  
% 8.05/1.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.05/1.73  
% 8.05/1.73  ------  iProver source info
% 8.05/1.73  
% 8.05/1.73  git: date: 2024-05-02 19:28:25 +0000
% 8.05/1.73  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.05/1.73  git: non_committed_changes: false
% 8.05/1.73  
% 8.05/1.73  ------ Parsing...successful
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e 
% 8.05/1.73  
% 8.05/1.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 8.05/1.73  
% 8.05/1.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 8.05/1.73  ------ Proving...
% 8.05/1.73  ------ Problem Properties 
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  clauses                                 404
% 8.05/1.73  conjectures                             7
% 8.05/1.73  EPR                                     32
% 8.05/1.73  Horn                                    366
% 8.05/1.73  unary                                   117
% 8.05/1.73  binary                                  222
% 8.05/1.73  lits                                    767
% 8.05/1.73  lits eq                                 229
% 8.05/1.73  fd_pure                                 0
% 8.05/1.73  fd_pseudo                               0
% 8.05/1.73  fd_cond                                 21
% 8.05/1.73  fd_pseudo_cond                          66
% 8.05/1.73  AC symbols                              0
% 8.05/1.73  
% 8.05/1.73  ------ Input Options Time Limit: Unbounded
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  ------ 
% 8.05/1.73  Current options:
% 8.05/1.73  ------ 
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  ------ Proving...
% 8.05/1.73  
% 8.05/1.73  
% 8.05/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 8.05/1.73  
% 8.05/1.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.05/1.73  
% 8.05/1.73  
%------------------------------------------------------------------------------