TSTP Solution File: SWW959+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SWW959+1 : TPTP v8.2.0. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n015.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 : Mon Jun 24 18:47:14 EDT 2024

% Result   : Theorem 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  14 unt;   0 def)
%            Number of atoms       :  132 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  143 (  66   ~;  53   |;  10   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f683,plain,
    $false,
    inference(avatar_sat_refutation,[],[f513,f564,f615,f625,f682]) ).

fof(f682,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f628]) ).

fof(f628,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f626,f331]) ).

fof(f331,plain,
    pred_attacker(constr_CONST_0x30),
    inference(cnf_transformation,[],[f144]) ).

fof(f144,axiom,
    pred_attacker(constr_CONST_0x30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f626,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_1 ),
    inference(resolution,[],[f502,f433]) ).

fof(f433,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f255,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_5(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_5(X0)) ),
    inference(rectify,[],[f120]) ).

fof(f120,axiom,
    ! [X60] :
      ( pred_attacker(X60)
     => pred_attacker(tuple_client_B_in_5(X60)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f502,plain,
    ( ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f501]) ).

fof(f501,plain,
    ( spl0_1
  <=> ! [X2] : ~ pred_attacker(tuple_client_B_in_5(X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f625,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f624]) ).

fof(f624,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f623,f324]) ).

fof(f324,plain,
    ~ pred_attacker(name_objective),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ~ pred_attacker(name_objective),
    inference(flattening,[],[f170]) ).

fof(f170,negated_conjecture,
    ~ pred_attacker(name_objective),
    inference(negated_conjecture,[],[f169]) ).

fof(f169,conjecture,
    pred_attacker(name_objective),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f623,plain,
    ( pred_attacker(name_objective)
    | ~ spl0_4 ),
    inference(resolution,[],[f446,f512]) ).

fof(f512,plain,
    ( pred_attacker(tuple_client_B_out_6(name_objective))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f510,plain,
    ( spl0_4
  <=> pred_attacker(tuple_client_B_out_6(name_objective)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ pred_attacker(tuple_client_B_out_6(X0))
      | pred_attacker(X0) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f268,plain,
    ! [X0] :
      ( pred_attacker(X0)
      | ~ pred_attacker(tuple_client_B_out_6(X0)) ),
    inference(ennf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_out_6(X0))
     => pred_attacker(X0) ),
    inference(rectify,[],[f114]) ).

fof(f114,axiom,
    ! [X51] :
      ( pred_attacker(tuple_client_B_out_6(X51))
     => pred_attacker(X51) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f615,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f565,f331]) ).

fof(f565,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_3 ),
    inference(resolution,[],[f508,f435]) ).

fof(f435,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f257,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_2(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_2(X0)) ),
    inference(rectify,[],[f124]) ).

fof(f124,axiom,
    ! [X64] :
      ( pred_attacker(X64)
     => pred_attacker(tuple_client_B_in_2(X64)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f508,plain,
    ( ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f507]) ).

fof(f507,plain,
    ( spl0_3
  <=> ! [X3] : ~ pred_attacker(tuple_client_B_in_2(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f564,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f515]) ).

fof(f515,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f514,f331]) ).

fof(f514,plain,
    ( ! [X0] : ~ pred_attacker(X0)
    | ~ spl0_2 ),
    inference(resolution,[],[f437,f505]) ).

fof(f505,plain,
    ( ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f504]) ).

fof(f504,plain,
    ( spl0_2
  <=> ! [X1] : ~ pred_attacker(tuple_client_B_in_3(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f437,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,plain,
    ! [X0] :
      ( pred_attacker(tuple_client_B_in_3(X0))
      | ~ pred_attacker(X0) ),
    inference(ennf_transformation,[],[f189]) ).

fof(f189,plain,
    ! [X0] :
      ( pred_attacker(X0)
     => pred_attacker(tuple_client_B_in_3(X0)) ),
    inference(rectify,[],[f122]) ).

fof(f122,axiom,
    ! [X62] :
      ( pred_attacker(X62)
     => pred_attacker(tuple_client_B_in_3(X62)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f513,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f499,f510,f507,f504,f501]) ).

fof(f499,plain,
    ! [X2,X3,X1] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_attacker(tuple_client_B_in_5(X2)) ),
    inference(subsumption_resolution,[],[f498,f454]) ).

fof(f454,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1] : pred_eq_bitstring_bitstring(X0,X1),
    inference(rectify,[],[f87]) ).

fof(f87,axiom,
    ! [X16,X17] : pred_eq_bitstring_bitstring(X16,X17),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f498,plain,
    ! [X2,X3,X0,X1] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(subsumption_resolution,[],[f497,f454]) ).

fof(f497,plain,
    ! [X2,X3,X0,X1] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(subsumption_resolution,[],[f491,f454]) ).

fof(f491,plain,
    ! [X2,X3,X0,X1] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(cnf_transformation,[],[f323]) ).

fof(f323,plain,
    ! [X0,X1,X2,X3] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(flattening,[],[f322]) ).

fof(f322,plain,
    ! [X0,X1,X2,X3] :
      ( pred_attacker(tuple_client_B_out_6(name_objective))
      | ~ pred_attacker(tuple_client_B_in_2(X3))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
      | ~ pred_attacker(tuple_client_B_in_3(X1))
      | ~ pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
      | ~ pred_attacker(tuple_client_B_in_5(X2))
      | ~ pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) ),
    inference(ennf_transformation,[],[f242]) ).

fof(f242,plain,
    ! [X0,X1,X2,X3] :
      ( ( pred_attacker(tuple_client_B_in_2(X3))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X3,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X1))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X1,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X2))
        & pred_eq_bitstring_bitstring(name_Nb(X0),constr_adec(X2,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    inference(rectify,[],[f166]) ).

fof(f166,axiom,
    ! [X106,X107,X108,X109] :
      ( ( pred_attacker(tuple_client_B_in_2(X109))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_0x30(constr_checksign(X109,constr_pkey(name_skS))))
        & pred_attacker(tuple_client_B_in_3(X107))
        & pred_eq_bitstring_bitstring(name_A,constr_tuple_2_get_1(constr_adec(X107,name_skB)))
        & pred_attacker(tuple_client_B_in_5(X108))
        & pred_eq_bitstring_bitstring(name_Nb(X106),constr_adec(X108,name_skB)) )
     => pred_attacker(tuple_client_B_out_6(name_objective)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWW959+1 : TPTP v8.2.0. Released v7.4.0.
% 0.11/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Wed Jun 19 07:40:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44  % (28675)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (28676)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.44  % (28675)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (28680)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.44  % (28676)First to succeed.
% 0.22/0.44  % (28680)Also succeeded, but the first one will report.
% 0.22/0.44  % (28676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28675"
% 0.22/0.44  % (28675)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (28676)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Theorem for theBenchmark
% 0.22/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45  % (28676)------------------------------
% 0.22/0.45  % (28676)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45  % (28676)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45  % (28676)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (28676)Memory used [KB]: 1293
% 0.22/0.45  % (28676)Time elapsed: 0.010 s
% 0.22/0.45  % (28676)Instructions burned: 12 (million)
% 0.22/0.45  % (28676)------------------------------
% 0.22/0.45  % (28676)------------------------------
% 0.22/0.45  % (28675)Success in time 0.073 s
%------------------------------------------------------------------------------