TSTP Solution File: SWV236+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : Fri May  3 03:13:48 EDT 2024

% Result   : Theorem 3.70s 1.14s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] : decrypt(X0,crypt(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encryption_decryption_cancellation) ).

fof(f7,axiom,
    ! [X8,X5,X3] :
      ( ( p(crypt(xor(km,exp),X3))
        & p(X8)
        & p(crypt(xor(km,X8),X5)) )
     => p(crypt(xor(X3,X8),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',key_export) ).

fof(f12,axiom,
    ! [X0,X5] :
      ( ( p(crypt(xor(km,data),X5))
        & p(X0) )
     => p(decrypt(X5,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',decrypt_data) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( p(crypt(xor(X0,data),X1))
     => p(crypt(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',data_cv_is_known_to_be_zero) ).

fof(f20,axiom,
    p(data),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge_of_intruder_3) ).

fof(f24,axiom,
    p(crypt(xor(km,exp),eurk)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge_of_intruder_7) ).

fof(f25,axiom,
    p(crypt(xor(km,data),eurk)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_knowledge_of_intruder_8) ).

fof(f28,conjecture,
    ? [X11] :
      ( p(X11)
      & p(crypt(xor(km,exp),X11)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',find_known_exporter) ).

fof(f29,negated_conjecture,
    ~ ? [X11] :
        ( p(X11)
        & p(crypt(xor(km,exp),X11)) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( p(crypt(xor(km,exp),X2))
        & p(X0)
        & p(crypt(xor(km,X0),X1)) )
     => p(crypt(xor(X2,X0),X1)) ),
    inference(rectify,[],[f7]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( p(crypt(xor(km,data),X1))
        & p(X0) )
     => p(decrypt(X1,X0)) ),
    inference(rectify,[],[f12]) ).

fof(f38,plain,
    ~ ? [X0] :
        ( p(X0)
        & p(crypt(xor(km,exp),X0)) ),
    inference(rectify,[],[f29]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( p(crypt(xor(X2,X0),X1))
      | ~ p(crypt(xor(km,exp),X2))
      | ~ p(X0)
      | ~ p(crypt(xor(km,X0),X1)) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( p(crypt(xor(X2,X0),X1))
      | ~ p(crypt(xor(km,exp),X2))
      | ~ p(X0)
      | ~ p(crypt(xor(km,X0),X1)) ),
    inference(flattening,[],[f41]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( p(decrypt(X1,X0))
      | ~ p(crypt(xor(km,data),X1))
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( p(decrypt(X1,X0))
      | ~ p(crypt(xor(km,data),X1))
      | ~ p(X0) ),
    inference(flattening,[],[f51]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( p(crypt(X0,X1))
      | ~ p(crypt(xor(X0,data),X1)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ p(X0)
      | ~ p(crypt(xor(km,exp),X0)) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f65,plain,
    ! [X0,X1] : decrypt(X0,crypt(X0,X1)) = X1,
    inference(cnf_transformation,[],[f3]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( p(crypt(xor(X2,X0),X1))
      | ~ p(crypt(xor(km,exp),X2))
      | ~ p(X0)
      | ~ p(crypt(xor(km,X0),X1)) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( p(decrypt(X1,X0))
      | ~ p(crypt(xor(km,data),X1))
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( p(crypt(X0,X1))
      | ~ p(crypt(xor(X0,data),X1)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f82,plain,
    p(data),
    inference(cnf_transformation,[],[f20]) ).

fof(f86,plain,
    p(crypt(xor(km,exp),eurk)),
    inference(cnf_transformation,[],[f24]) ).

fof(f87,plain,
    p(crypt(xor(km,data),eurk)),
    inference(cnf_transformation,[],[f25]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ p(X0)
      | ~ p(crypt(xor(km,exp),X0)) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_51,plain,
    decrypt(X0,crypt(X0,X1)) = X1,
    inference(cnf_transformation,[],[f65]) ).

cnf(c_55,plain,
    ( ~ p(crypt(xor(km,X0),X1))
    | ~ p(crypt(xor(km,exp),X2))
    | ~ p(X0)
    | p(crypt(xor(X2,X0),X1)) ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_60,plain,
    ( ~ p(crypt(xor(km,data),X0))
    | ~ p(X1)
    | p(decrypt(X0,X1)) ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_65,plain,
    ( ~ p(crypt(xor(X0,data),X1))
    | p(crypt(X0,X1)) ),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_68,plain,
    p(data),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_72,plain,
    p(crypt(xor(km,exp),eurk)),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_73,plain,
    p(crypt(xor(km,data),eurk)),
    inference(cnf_transformation,[],[f87]) ).

cnf(c_76,negated_conjecture,
    ( ~ p(crypt(xor(km,exp),X0))
    | ~ p(X0) ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_298,plain,
    xor(km,exp) = sP0_iProver_def,
    definition ).

cnf(c_299,negated_conjecture,
    ( ~ p(crypt(sP0_iProver_def,X0))
    | ~ p(X0) ),
    inference(demodulation,[status(thm)],[c_76,c_298]) ).

cnf(c_624,plain,
    p(crypt(sP0_iProver_def,eurk)),
    inference(light_normalisation,[status(thm)],[c_72,c_298]) ).

cnf(c_625,plain,
    ~ p(eurk),
    inference(superposition,[status(thm)],[c_624,c_299]) ).

cnf(c_876,plain,
    ( ~ p(X0)
    | p(decrypt(eurk,X0)) ),
    inference(superposition,[status(thm)],[c_73,c_60]) ).

cnf(c_880,plain,
    ( ~ p(crypt(xor(km,X0),X1))
    | ~ p(crypt(sP0_iProver_def,X2))
    | ~ p(X0)
    | p(crypt(xor(X2,X0),X1)) ),
    inference(light_normalisation,[status(thm)],[c_55,c_298]) ).

cnf(c_892,plain,
    ( ~ p(crypt(sP0_iProver_def,X0))
    | ~ p(data)
    | p(crypt(xor(X0,data),eurk)) ),
    inference(superposition,[status(thm)],[c_73,c_880]) ).

cnf(c_900,plain,
    ( ~ p(crypt(sP0_iProver_def,X0))
    | p(crypt(xor(X0,data),eurk)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_892,c_68]) ).

cnf(c_1099,plain,
    ( ~ p(crypt(eurk,X0))
    | p(X0) ),
    inference(superposition,[status(thm)],[c_51,c_876]) ).

cnf(c_2791,plain,
    ( ~ p(crypt(sP0_iProver_def,X0))
    | p(crypt(X0,eurk)) ),
    inference(superposition,[status(thm)],[c_900,c_65]) ).

cnf(c_3235,plain,
    p(crypt(eurk,eurk)),
    inference(superposition,[status(thm)],[c_624,c_2791]) ).

cnf(c_3237,plain,
    p(eurk),
    inference(superposition,[status(thm)],[c_3235,c_1099]) ).

cnf(c_3238,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3237,c_625]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV236+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n003.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 00:16:21 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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
% 3.70/1.14  % SZS status Started for theBenchmark.p
% 3.70/1.14  % SZS status Theorem for theBenchmark.p
% 3.70/1.14  
% 3.70/1.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.70/1.14  
% 3.70/1.14  ------  iProver source info
% 3.70/1.14  
% 3.70/1.14  git: date: 2024-05-02 19:28:25 +0000
% 3.70/1.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.70/1.14  git: non_committed_changes: false
% 3.70/1.14  
% 3.70/1.14  ------ Parsing...
% 3.70/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.70/1.14  
% 3.70/1.14  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.70/1.14  
% 3.70/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.70/1.14  
% 3.70/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.70/1.14  ------ Proving...
% 3.70/1.14  ------ Problem Properties 
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  clauses                                 29
% 3.70/1.14  conjectures                             1
% 3.70/1.14  EPR                                     7
% 3.70/1.14  Horn                                    29
% 3.70/1.14  unary                                   16
% 3.70/1.14  binary                                  2
% 3.70/1.14  lits                                    59
% 3.70/1.14  lits eq                                 6
% 3.70/1.14  fd_pure                                 0
% 3.70/1.14  fd_pseudo                               0
% 3.70/1.14  fd_cond                                 0
% 3.70/1.14  fd_pseudo_cond                          0
% 3.70/1.14  AC symbols                              1
% 3.70/1.14  
% 3.70/1.14  ------ Schedule dynamic 5 is on 
% 3.70/1.14  
% 3.70/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  ------ 
% 3.70/1.14  Current options:
% 3.70/1.14  ------ 
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  ------ Proving...
% 3.70/1.14  
% 3.70/1.14  
% 3.70/1.14  % SZS status Theorem for theBenchmark.p
% 3.70/1.14  
% 3.70/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/1.14  
% 3.70/1.14  
%------------------------------------------------------------------------------