TSTP Solution File: SWV757-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV757-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 : Thu Aug 31 22:42:31 EDT 2023

% Result   : Unsatisfiable 104.40s 14.92s
% Output   : CNFRefutation 104.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   34 (  12 unt;   7 nHn;  33 RR)
%            Number of literals    :   72 (  23 equ;  33 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  19 con; 0-4 aty)
%            Number of variables   :   68 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_408,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).

cnf(c_507,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X2,X0,X1,X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).

cnf(c_529,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg))
    | hBOOL(c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OFst_0) ).

cnf(c_543,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

cnf(c_557,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).

cnf(c_559,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | X0 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).

cnf(c_561,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X9))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | X2 = X8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).

cnf(c_597,negated_conjecture,
    hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_600,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(c_601,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(c_602,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(c_603,negated_conjecture,
    v_Ka = v_K,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_606,negated_conjecture,
    ( v_A != v_Aa
    | v_Ba != v_B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(c_5087,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(v_A_H,v_Ba,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)),
    inference(light_normalisation,[status(thm)],[c_600,c_603]) ).

cnf(c_11432,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_11434,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_42274,plain,
    ( X0 != X1
    | X1 = X0 ),
    inference(resolution,[status(thm)],[c_11434,c_11432]) ).

cnf(c_77750,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
    inference(resolution,[status(thm)],[c_543,c_5087]) ).

cnf(c_77757,plain,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)),
    inference(resolution,[status(thm)],[c_557,c_5087]) ).

cnf(c_111566,plain,
    ( ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_408,c_77757]) ).

cnf(c_111811,plain,
    ( ~ hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)) ),
    inference(resolution,[status(thm)],[c_111566,c_529]) ).

cnf(c_126267,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | X0 = v_A ),
    inference(resolution,[status(thm)],[c_559,c_602]) ).

cnf(c_126291,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | X2 = v_B ),
    inference(resolution,[status(thm)],[c_561,c_602]) ).

cnf(c_126348,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent))
    | X0 = v_A ),
    inference(global_subsumption_just,[status(thm)],[c_126267,c_597,c_126267]) ).

cnf(c_126380,plain,
    ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent))
    | X2 = v_B ),
    inference(global_subsumption_just,[status(thm)],[c_126291,c_597,c_126291]) ).

cnf(c_126608,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | X1 = v_A
    | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
    inference(resolution,[status(thm)],[c_507,c_126348]) ).

cnf(c_126610,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))
    | ~ hBOOL(c_in(v_evs4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | X0 = v_B
    | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
    inference(resolution,[status(thm)],[c_507,c_126380]) ).

cnf(c_127046,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))
    | X1 = v_A
    | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
    inference(global_subsumption_just,[status(thm)],[c_126608,c_597,c_126608]) ).

cnf(c_127065,plain,
    ( v_Aa = v_A
    | hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
    inference(resolution,[status(thm)],[c_127046,c_77750]) ).

cnf(c_127066,plain,
    ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg))
    | X0 = v_B
    | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent)) ),
    inference(global_subsumption_just,[status(thm)],[c_126610,c_597,c_126610]) ).

cnf(c_127085,plain,
    ( v_Ba = v_B
    | hBOOL(c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)) ),
    inference(resolution,[status(thm)],[c_127066,c_77750]) ).

cnf(c_127502,plain,
    v_Aa = v_A,
    inference(global_subsumption_just,[status(thm)],[c_127065,c_601,c_111811,c_127065]) ).

cnf(c_134322,plain,
    v_A = v_Aa,
    inference(resolution,[status(thm)],[c_42274,c_127502]) ).

cnf(c_134323,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_134322,c_127085,c_111811,c_601,c_606]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWV757-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.36  % Computer : n008.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Tue Aug 29 09:10:47 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 104.40/14.92  % SZS status Started for theBenchmark.p
% 104.40/14.92  % SZS status Unsatisfiable for theBenchmark.p
% 104.40/14.92  
% 104.40/14.92  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 104.40/14.92  
% 104.40/14.92  ------  iProver source info
% 104.40/14.92  
% 104.40/14.92  git: date: 2023-05-31 18:12:56 +0000
% 104.40/14.92  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 104.40/14.92  git: non_committed_changes: false
% 104.40/14.92  git: last_make_outside_of_git: false
% 104.40/14.92  
% 104.40/14.92  ------ Parsing...successful
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  ------ Preprocessing... sup_sim: 31  sf_s  rm: 7 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 104.40/14.92  
% 104.40/14.92  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 104.40/14.92  
% 104.40/14.92  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 104.40/14.92  ------ Proving...
% 104.40/14.92  ------ Problem Properties 
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  clauses                                 451
% 104.40/14.92  conjectures                             7
% 104.40/14.92  EPR                                     27
% 104.40/14.92  Horn                                    407
% 104.40/14.92  unary                                   172
% 104.40/14.92  binary                                  176
% 104.40/14.92  lits                                    884
% 104.40/14.92  lits eq                                 240
% 104.40/14.92  fd_pure                                 0
% 104.40/14.92  fd_pseudo                               0
% 104.40/14.92  fd_cond                                 5
% 104.40/14.92  fd_pseudo_cond                          54
% 104.40/14.92  AC symbols                              0
% 104.40/14.92  
% 104.40/14.92  ------ Input Options Time Limit: Unbounded
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  ------ 
% 104.40/14.92  Current options:
% 104.40/14.92  ------ 
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  ------ Proving...
% 104.40/14.92  
% 104.40/14.92  
% 104.40/14.92  % SZS status Unsatisfiable for theBenchmark.p
% 104.40/14.92  
% 104.40/14.92  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 104.40/14.92  
% 104.40/14.93  
%------------------------------------------------------------------------------