TSTP Solution File: SWV010+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV010+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n003.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 22:30:41 EDT 2023

% Result   : Satisfiable 0.46s 1.16s
% Output   : Saturation 0.46s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    message(sent(a,b,pair(a,an_a_nonce))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_sent_message_i_to_b) ).

fof(f4,axiom,
    a_stored(pair(b,an_a_nonce)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_stored_message_i) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( a_stored(pair(X4,X5))
        & message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) )
     => ( a_holds(key(X2,X4))
        & message(sent(a,X4,pair(X3,encrypt(X0,X2)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_forwards_secure) ).

fof(f8,axiom,
    fresh_to_b(an_a_nonce),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( fresh_to_b(X1)
        & message(sent(X0,b,pair(X0,X1))) )
     => ( b_stored(pair(X0,X1))
        & message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time) ).

fof(f11,axiom,
    t_holds(key(at,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_at_for_a) ).

fof(f12,axiom,
    t_holds(key(bt,b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_bt_for_b) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( t_holds(key(X6,X2))
        & t_holds(key(X5,X0))
        & message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) )
     => message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',server_t_generates_key) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( fresh_to_b(X1)
        & message(sent(X0,b,pair(X0,X1))) )
     => message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) ),
    inference(pure_predicate_removal,[],[f9]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( a_stored(pair(X4,X5))
        & message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) )
     => message(sent(a,X4,pair(X3,encrypt(X0,X2)))) ),
    inference(pure_predicate_removal,[],[f5]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( message(sent(a,X4,pair(X3,encrypt(X0,X2))))
      | ~ a_stored(pair(X4,X5))
      | ~ message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( message(sent(a,X4,pair(X3,encrypt(X0,X2))))
      | ~ a_stored(pair(X4,X5))
      | ~ message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt))))
      | ~ fresh_to_b(X1)
      | ~ message(sent(X0,b,pair(X0,X1))) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt))))
      | ~ fresh_to_b(X1)
      | ~ message(sent(X0,b,pair(X0,X1))) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1)))
      | ~ t_holds(key(X6,X2))
      | ~ t_holds(key(X5,X0))
      | ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f29,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1)))
      | ~ t_holds(key(X6,X2))
      | ~ t_holds(key(X5,X0))
      | ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) ),
    inference(flattening,[],[f28]) ).

fof(f30,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    inference(cnf_transformation,[],[f3]) ).

fof(f31,plain,
    a_stored(pair(b,an_a_nonce)),
    inference(cnf_transformation,[],[f4]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( message(sent(a,X4,pair(X3,encrypt(X0,X2))))
      | ~ a_stored(pair(X4,X5))
      | ~ message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f33,plain,
    fresh_to_b(an_a_nonce),
    inference(cnf_transformation,[],[f8]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt))))
      | ~ fresh_to_b(X1)
      | ~ message(sent(X0,b,pair(X0,X1))) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f35,plain,
    t_holds(key(at,a)),
    inference(cnf_transformation,[],[f11]) ).

fof(f36,plain,
    t_holds(key(bt,b)),
    inference(cnf_transformation,[],[f12]) ).

fof(f37,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1)))
      | ~ t_holds(key(X6,X2))
      | ~ t_holds(key(X5,X0))
      | ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_49,plain,
    message(sent(a,b,pair(a,an_a_nonce))),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_50,plain,
    a_stored(pair(b,an_a_nonce)),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_51,plain,
    ( ~ message(sent(t,a,triple(encrypt(quadruple(X0,X1,X2,X3),at),X4,X5)))
    | ~ a_stored(pair(X0,X1))
    | message(sent(a,X0,pair(X4,encrypt(X5,X2)))) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_52,plain,
    fresh_to_b(an_a_nonce),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_53,plain,
    ( ~ message(sent(X0,b,pair(X0,X1)))
    | ~ fresh_to_b(X1)
    | message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_54,plain,
    t_holds(key(at,a)),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_55,plain,
    t_holds(key(bt,b)),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_56,plain,
    ( ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5))))
    | ~ t_holds(key(X5,X0))
    | ~ t_holds(key(X6,X2))
    | message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1))) ),
    inference(cnf_transformation,[],[f37]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV010+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 03:49:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.46/1.16  % SZS status Started for theBenchmark.p
% 0.46/1.16  % SZS status Satisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.46/1.16  
% 0.46/1.16  ------  iProver source info
% 0.46/1.16  
% 0.46/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.46/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.46/1.16  git: non_committed_changes: false
% 0.46/1.16  git: last_make_outside_of_git: false
% 0.46/1.16  
% 0.46/1.16  ------ Parsing...
% 0.46/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing... sf_s  rm: 8 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.46/1.16  
% 0.46/1.16  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.46/1.16   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.16  ------ Proving...
% 0.46/1.16  ------ Problem Properties 
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  clauses                                 0
% 0.46/1.16  conjectures                             0
% 0.46/1.16  EPR                                     0
% 0.46/1.16  Horn                                    0
% 0.46/1.16  unary                                   0
% 0.46/1.16  binary                                  0
% 0.46/1.16  lits                                    0
% 0.46/1.16  lits eq                                 0
% 0.46/1.16  fd_pure                                 0
% 0.46/1.16  fd_pseudo                               0
% 0.46/1.16  fd_cond                                 0
% 0.46/1.16  fd_pseudo_cond                          0
% 0.46/1.16  AC symbols                              0
% 0.46/1.16  
% 0.46/1.16  ------ Schedule EPR Horn non eq is on
% 0.46/1.16  
% 0.46/1.16  ------ no conjectures: strip conj schedule 
% 0.46/1.16  
% 0.46/1.16  ------ no equalities: superposition off 
% 0.46/1.16  
% 0.46/1.16  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  
% 0.46/1.16  % SZS status Satisfiable for theBenchmark.p
% 0.46/1.16  
% 0.46/1.16  % SZS output start Saturation for theBenchmark.p
% See solution above
% 0.46/1.16  
% 0.46/1.16  
%------------------------------------------------------------------------------