TSTP Solution File: SWV237+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV237+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 : Tue May 21 06:14:09 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   59
% Syntax   : Number of formulae    :  221 (  33 unt;   0 def)
%            Number of atoms       :  761 (   4 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1020 ( 480   ~; 472   |;  20   &)
%                                         (  38 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   41 (  39 usr;  39 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :  244 ( 244   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f822,plain,
    $false,
    inference(avatar_sat_refutation,[],[f92,f100,f111,f112,f113,f114,f115,f116,f117,f118,f144,f153,f163,f173,f187,f198,f207,f277,f359,f376,f383,f400,f411,f426,f454,f467,f477,f549,f560,f602,f647,f653,f657,f662,f672,f790,f821]) ).

fof(f821,plain,
    ( ~ spl0_2
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f820]) ).

fof(f820,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f816,f55]) ).

fof(f55,plain,
    p(a),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_8) ).

fof(f816,plain,
    ( ~ p(a)
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(resolution,[],[f807,f53]) ).

fof(f53,plain,
    ~ p(enc(pp,a)),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ~ p(enc(pp,a)),
    inference(flattening,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ p(enc(pp,a)),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    p(enc(pp,a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f807,plain,
    ( ! [X0] :
        ( p(enc(pp,X0))
        | ~ p(X0) )
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(resolution,[],[f708,f61]) ).

fof(f61,plain,
    p(enc(tmk,pp)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    p(enc(tmk,pp)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_1) ).

fof(f708,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(tmk,X0))
        | p(enc(X0,X1))
        | ~ p(X1) )
    | ~ spl0_2
    | ~ spl0_23 ),
    inference(resolution,[],[f702,f91]) ).

fof(f91,plain,
    ( ! [X0] :
        ( p(enc(tc,X0))
        | ~ p(X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl0_2
  <=> ! [X0] :
        ( p(enc(tc,X0))
        | ~ p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f702,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(tc,X0))
        | p(enc(X1,X0))
        | ~ p(enc(tmk,X1)) )
    | ~ spl0_23 ),
    inference(superposition,[],[f490,f65]) ).

fof(f65,plain,
    ! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',enc_dec_cancel) ).

fof(f490,plain,
    ( ! [X0,X1] :
        ( p(enc(X0,enc(i(tc),X1)))
        | ~ p(X1)
        | ~ p(enc(tmk,X0)) )
    | ~ spl0_23 ),
    inference(superposition,[],[f425,f65]) ).

fof(f425,plain,
    ( ! [X0,X1] :
        ( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
        | ~ p(X0)
        | ~ p(X1) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f424,plain,
    ( spl0_23
  <=> ! [X0,X1] :
        ( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f790,plain,
    ( ~ spl0_37
    | spl0_38
    | ~ spl0_2
    | spl0_7
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(avatar_split_clause,[],[f769,f424,f205,f156,f90,f788,f784]) ).

fof(f784,plain,
    ( spl0_37
  <=> p(enc(tmk,tmk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f788,plain,
    ( spl0_38
  <=> ! [X0] : ~ p(enc(i(tc),X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f156,plain,
    ( spl0_7
  <=> p(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f205,plain,
    ( spl0_14
  <=> ! [X0,X1] :
        ( p(enc(i(enc(i(tc),X0)),X1))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f769,plain,
    ( ! [X0] :
        ( ~ p(enc(i(tc),X0))
        | ~ p(enc(tmk,tmk)) )
    | ~ spl0_2
    | spl0_7
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f765,f93]) ).

fof(f93,plain,
    ( ! [X0] :
        ( ~ p(enc(i(tc),X0))
        | p(X0) )
    | ~ spl0_2 ),
    inference(superposition,[],[f91,f64]) ).

fof(f64,plain,
    ! [X0,X1] : enc(X0,enc(i(X0),X1)) = X1,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : enc(X0,enc(i(X0),X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dec_enc_cancel) ).

fof(f765,plain,
    ( ! [X0] :
        ( ~ p(enc(i(tc),X0))
        | ~ p(X0)
        | ~ p(enc(tmk,tmk)) )
    | ~ spl0_2
    | spl0_7
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(resolution,[],[f749,f490]) ).

fof(f749,plain,
    ( ! [X0] :
        ( ~ p(enc(tmk,X0))
        | ~ p(X0) )
    | ~ spl0_2
    | spl0_7
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(superposition,[],[f740,f65]) ).

fof(f740,plain,
    ( ! [X0] :
        ( ~ p(enc(i(tmk),X0))
        | ~ p(X0) )
    | ~ spl0_2
    | spl0_7
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(subsumption_resolution,[],[f736,f157]) ).

fof(f157,plain,
    ( ~ p(k)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f736,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | p(k)
        | ~ p(enc(i(tmk),X0)) )
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_23 ),
    inference(resolution,[],[f733,f235]) ).

fof(f235,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(X1,X0))
        | p(X0)
        | ~ p(X1) )
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(resolution,[],[f231,f91]) ).

fof(f231,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(tc,X0))
        | p(X1)
        | ~ p(enc(X0,X1)) )
    | ~ spl0_14 ),
    inference(superposition,[],[f220,f65]) ).

fof(f220,plain,
    ( ! [X0,X1] :
        ( p(enc(i(X0),X1))
        | ~ p(enc(tc,X0))
        | ~ p(X1) )
    | ~ spl0_14 ),
    inference(superposition,[],[f206,f65]) ).

fof(f206,plain,
    ( ! [X0,X1] :
        ( p(enc(i(enc(i(tc),X0)),X1))
        | ~ p(X0)
        | ~ p(X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f205]) ).

fof(f733,plain,
    ( ! [X0] :
        ( p(enc(enc(i(tmk),X0),k))
        | ~ p(X0) )
    | ~ spl0_23 ),
    inference(superposition,[],[f707,f64]) ).

fof(f707,plain,
    ( ! [X0] :
        ( ~ p(enc(tmk,X0))
        | p(enc(X0,k)) )
    | ~ spl0_23 ),
    inference(resolution,[],[f702,f59]) ).

fof(f59,plain,
    p(enc(tc,k)),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,axiom,
    p(enc(tc,k)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_5) ).

fof(f672,plain,
    ( ~ spl0_36
    | spl0_27
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f430,f374,f196,f465,f669]) ).

fof(f669,plain,
    ( spl0_36
  <=> p(enc(wk,i(k))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f465,plain,
    ( spl0_27
  <=> ! [X0] :
        ( ~ p(X0)
        | p(enc(i(lp),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f196,plain,
    ( spl0_13
  <=> ! [X0,X1] :
        ( p(enc(enc(i(tc),X0),X1))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f374,plain,
    ( spl0_18
  <=> ! [X0,X1] :
        ( p(enc(enc(i(wk),X1),enc(i(lp),X0)))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f430,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(wk,i(k)))
        | p(enc(i(lp),X0)) )
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(resolution,[],[f417,f213]) ).

fof(f213,plain,
    ( ! [X0] :
        ( ~ p(enc(i(k),X0))
        | p(X0) )
    | ~ spl0_13 ),
    inference(superposition,[],[f208,f64]) ).

fof(f208,plain,
    ( ! [X0] :
        ( p(enc(k,X0))
        | ~ p(X0) )
    | ~ spl0_13 ),
    inference(resolution,[],[f200,f59]) ).

fof(f200,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(tc,X0))
        | p(enc(X0,X1))
        | ~ p(X1) )
    | ~ spl0_13 ),
    inference(superposition,[],[f197,f65]) ).

fof(f197,plain,
    ( ! [X0,X1] :
        ( p(enc(enc(i(tc),X0),X1))
        | ~ p(X0)
        | ~ p(X1) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f417,plain,
    ( ! [X0,X1] :
        ( p(enc(X0,enc(i(lp),X1)))
        | ~ p(X1)
        | ~ p(enc(wk,X0)) )
    | ~ spl0_18 ),
    inference(superposition,[],[f375,f65]) ).

fof(f375,plain,
    ( ! [X0,X1] :
        ( p(enc(enc(i(wk),X1),enc(i(lp),X0)))
        | ~ p(X0)
        | ~ p(X1) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f662,plain,
    ( ~ spl0_35
    | spl0_25
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f431,f378,f374,f452,f659]) ).

fof(f659,plain,
    ( spl0_35
  <=> p(enc(wk,i(zcmk))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f452,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(i(lp),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f378,plain,
    ( spl0_19
  <=> ! [X1] :
        ( ~ p(X1)
        | ~ p(enc(i(zcmk),X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f431,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(wk,i(zcmk)))
        | ~ p(enc(i(lp),X0)) )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(resolution,[],[f417,f379]) ).

fof(f379,plain,
    ( ! [X1] :
        ( ~ p(enc(i(zcmk),X1))
        | ~ p(X1) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f657,plain,
    ( spl0_1
    | spl0_34 ),
    inference(avatar_split_clause,[],[f75,f655,f87]) ).

fof(f87,plain,
    ( spl0_1
  <=> ! [X1] : ~ p(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f655,plain,
    ( spl0_34
  <=> ! [X0,X1] :
        ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X0)))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(i(enc(i(zcmk),X1)),enc(i(tmk),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_translate_from_TMK_to_ZCMK) ).

fof(f653,plain,
    ( spl0_33
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f635,f374,f275,f205,f166,f142,f98,f90,f87,f651]) ).

fof(f651,plain,
    ( spl0_33
  <=> ! [X1] :
        ( ~ p(enc(zcmk,X1))
        | ~ p(i(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f98,plain,
    ( spl0_3
  <=> ! [X0,X1] :
        ( p(enc(X0,X1))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f142,plain,
    ( spl0_4
  <=> ! [X0] :
        ( p(enc(wk,enc(i(tmk),X0)))
        | ~ p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f166,plain,
    ( spl0_9
  <=> p(t2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f275,plain,
    ( spl0_15
  <=> ! [X0,X1] :
        ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X0)))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f635,plain,
    ( ! [X0,X1] :
        ( ~ p(X0)
        | ~ p(enc(zcmk,X1))
        | ~ p(i(X1)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f630]) ).

fof(f630,plain,
    ( ! [X0,X1] :
        ( ~ p(X0)
        | ~ p(enc(zcmk,X1))
        | ~ p(i(X1))
        | ~ p(X0) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(resolution,[],[f537,f99]) ).

fof(f99,plain,
    ( ! [X0,X1] :
        ( p(enc(X0,X1))
        | ~ p(X0)
        | ~ p(X1) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f537,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(i(X0),X1))
        | ~ p(X1)
        | ~ p(enc(zcmk,X0)) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(resolution,[],[f527,f331]) ).

fof(f331,plain,
    ( ! [X0,X1] :
        ( p(enc(tmk,enc(i(X0),X1)))
        | ~ p(X1)
        | ~ p(enc(zcmk,X0)) )
    | ~ spl0_15 ),
    inference(superposition,[],[f276,f65]) ).

fof(f276,plain,
    ( ! [X0,X1] :
        ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X0)))
        | ~ p(X0)
        | ~ p(X1) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f527,plain,
    ( ! [X0] :
        ( ~ p(enc(tmk,X0))
        | ~ p(X0) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f519,f65]) ).

fof(f519,plain,
    ( ! [X0] :
        ( ~ p(enc(i(tmk),X0))
        | ~ p(X0) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f515,f167]) ).

fof(f167,plain,
    ( ~ p(t2)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f515,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | p(t2)
        | ~ p(enc(i(tmk),X0)) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f497,f235]) ).

fof(f497,plain,
    ( ! [X0] :
        ( p(enc(enc(i(tmk),X0),t2))
        | ~ p(X0) )
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(resolution,[],[f483,f143]) ).

fof(f143,plain,
    ( ! [X0] :
        ( p(enc(wk,enc(i(tmk),X0)))
        | ~ p(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f483,plain,
    ( ! [X0] :
        ( ~ p(enc(wk,X0))
        | p(enc(X0,t2)) )
    | ~ spl0_18 ),
    inference(resolution,[],[f442,f58]) ).

fof(f58,plain,
    p(enc(lp,t2)),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    p(enc(lp,t2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_4) ).

fof(f442,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(lp,X0))
        | p(enc(X1,X0))
        | ~ p(enc(wk,X1)) )
    | ~ spl0_18 ),
    inference(superposition,[],[f417,f65]) ).

fof(f647,plain,
    ( ~ spl0_32
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f637,f374,f275,f205,f166,f142,f90,f87,f644]) ).

fof(f644,plain,
    ( spl0_32
  <=> p(enc(zcmk,k)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f637,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(zcmk,k)) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f628]) ).

fof(f628,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(zcmk,k))
        | ~ p(X0) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(resolution,[],[f537,f240]) ).

fof(f240,plain,
    ( ! [X0] :
        ( p(enc(i(k),X0))
        | ~ p(X0) )
    | ~ spl0_14 ),
    inference(superposition,[],[f234,f64]) ).

fof(f234,plain,
    ( ! [X0] :
        ( ~ p(enc(k,X0))
        | p(X0) )
    | ~ spl0_14 ),
    inference(resolution,[],[f231,f59]) ).

fof(f602,plain,
    ( ~ spl0_31
    | spl0_1
    | ~ spl0_2
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f585,f374,f205,f166,f90,f87,f599]) ).

fof(f599,plain,
    ( spl0_31
  <=> p(enc(tc,wk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f585,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(tc,wk)) )
    | ~ spl0_2
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f577]) ).

fof(f577,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(tc,wk))
        | ~ p(X0) )
    | ~ spl0_2
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f573,f220]) ).

fof(f573,plain,
    ( ! [X0] :
        ( ~ p(enc(i(wk),X0))
        | ~ p(X0) )
    | ~ spl0_2
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(subsumption_resolution,[],[f569,f167]) ).

fof(f569,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | p(t2)
        | ~ p(enc(i(wk),X0)) )
    | ~ spl0_2
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f502,f235]) ).

fof(f502,plain,
    ( ! [X0] :
        ( p(enc(enc(i(wk),X0),t2))
        | ~ p(X0) )
    | ~ spl0_18 ),
    inference(superposition,[],[f483,f64]) ).

fof(f560,plain,
    ( spl0_1
    | spl0_30 ),
    inference(avatar_split_clause,[],[f74,f558,f87]) ).

fof(f558,plain,
    ( spl0_30
  <=> ! [X0,X1] :
        ( p(enc(enc(i(tmk),X1),enc(i(tmk),X0)))
        | ~ p(X0)
        | ~ p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f74,plain,
    ! [X2,X0,X1] :
      ( p(enc(enc(i(tmk),X1),enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(tmk),X1),enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(tmk),X1),enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(enc(i(tmk),X1),enc(i(tmk),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_a_PIN_derivation_key_under_a_TMK) ).

fof(f549,plain,
    ( ~ spl0_29
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f531,f374,f205,f166,f142,f90,f87,f546]) ).

fof(f546,plain,
    ( spl0_29
  <=> p(enc(tc,tmk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f531,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(tc,tmk)) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f523]) ).

fof(f523,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(tc,tmk))
        | ~ p(X0) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_9
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f519,f220]) ).

fof(f477,plain,
    ( ~ spl0_28
    | spl0_27
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f429,f374,f90,f465,f474]) ).

fof(f474,plain,
    ( spl0_28
  <=> p(enc(wk,i(tc))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f429,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(wk,i(tc)))
        | p(enc(i(lp),X0)) )
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(resolution,[],[f417,f93]) ).

fof(f467,plain,
    ( ~ spl0_26
    | spl0_27
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f441,f374,f205,f465,f461]) ).

fof(f461,plain,
    ( spl0_26
  <=> p(enc(wk,k)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f441,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(wk,k))
        | p(enc(i(lp),X0)) )
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(resolution,[],[f417,f234]) ).

fof(f454,plain,
    ( ~ spl0_24
    | spl0_25
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f437,f378,f374,f452,f448]) ).

fof(f448,plain,
    ( spl0_24
  <=> p(enc(wk,zcmk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f437,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(wk,zcmk))
        | ~ p(enc(i(lp),X0)) )
    | ~ spl0_18
    | ~ spl0_19 ),
    inference(resolution,[],[f417,f388]) ).

fof(f388,plain,
    ( ! [X0] :
        ( ~ p(enc(zcmk,X0))
        | ~ p(X0) )
    | ~ spl0_19 ),
    inference(superposition,[],[f379,f65]) ).

fof(f426,plain,
    ( spl0_1
    | spl0_23 ),
    inference(avatar_split_clause,[],[f73,f424,f87]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(enc(i(tmk),X1),enc(i(tc),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_a_stored_comms_key) ).

fof(f411,plain,
    ( ~ spl0_22
    | spl0_1
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f392,f378,f205,f87,f408]) ).

fof(f408,plain,
    ( spl0_22
  <=> p(enc(tc,zcmk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f392,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(tc,zcmk)) )
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f385]) ).

fof(f385,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(enc(tc,zcmk))
        | ~ p(X0) )
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(resolution,[],[f379,f220]) ).

fof(f400,plain,
    ( ~ spl0_21
    | spl0_1
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f390,f378,f98,f87,f397]) ).

fof(f397,plain,
    ( spl0_21
  <=> p(i(zcmk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f390,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(i(zcmk)) )
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(duplicate_literal_removal,[],[f387]) ).

fof(f387,plain,
    ( ! [X0] :
        ( ~ p(X0)
        | ~ p(i(zcmk))
        | ~ p(X0) )
    | ~ spl0_3
    | ~ spl0_19 ),
    inference(resolution,[],[f379,f99]) ).

fof(f383,plain,
    ( spl0_19
    | spl0_20
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f361,f275,f98,f381,f378]) ).

fof(f381,plain,
    ( spl0_20
  <=> ! [X0] :
        ( p(enc(tmk,X0))
        | ~ p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f361,plain,
    ( ! [X0,X1] :
        ( p(enc(tmk,X0))
        | ~ p(X1)
        | ~ p(enc(i(zcmk),X1))
        | ~ p(X0) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(resolution,[],[f333,f99]) ).

fof(f333,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(enc(i(zcmk),X0),X1))
        | p(enc(tmk,X1))
        | ~ p(X0) )
    | ~ spl0_15 ),
    inference(superposition,[],[f276,f65]) ).

fof(f376,plain,
    ( spl0_1
    | spl0_18 ),
    inference(avatar_split_clause,[],[f72,f374,f87]) ).

fof(f72,plain,
    ! [X2,X0,X1] :
      ( p(enc(enc(i(wk),X1),enc(i(lp),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(wk),X1),enc(i(lp),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(wk),X1),enc(i(lp),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(enc(i(wk),X1),enc(i(lp),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',data_translate_PIN_from_local_storage_to_interchange_key) ).

fof(f359,plain,
    ( ~ spl0_16
    | spl0_17
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f350,f275,f98,f357,f353]) ).

fof(f353,plain,
    ( spl0_16
  <=> p(zcmk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f357,plain,
    ( spl0_17
  <=> ! [X0,X1] :
        ( ~ p(enc(X0,X1))
        | ~ p(X0)
        | p(enc(tmk,X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f350,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(X0,X1))
        | p(enc(tmk,X1))
        | ~ p(zcmk)
        | ~ p(X0) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(resolution,[],[f345,f99]) ).

fof(f345,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(zcmk,X0))
        | ~ p(enc(X0,X1))
        | p(enc(tmk,X1)) )
    | ~ spl0_15 ),
    inference(superposition,[],[f331,f65]) ).

fof(f277,plain,
    ( spl0_1
    | spl0_15 ),
    inference(avatar_split_clause,[],[f71,f275,f87]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1,X2] :
      ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( p(enc(tmk,enc(i(enc(i(zcmk),X1)),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(tmk,enc(i(enc(i(zcmk),X1)),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',key_translate_from_ZCMK_to_TMK) ).

fof(f207,plain,
    ( spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f70,f205,f87]) ).

fof(f70,plain,
    ! [X2,X0,X1] :
      ( p(enc(i(enc(i(tc),X0)),X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1,X2] :
      ( p(enc(i(enc(i(tc),X0)),X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( p(enc(i(enc(i(tc),X0)),X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(i(enc(i(tc),X0)),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',data_decrypt) ).

fof(f198,plain,
    ( spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f69,f196,f87]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( p(enc(enc(i(tc),X0),X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(tc),X0),X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( p(enc(enc(i(tc),X0),X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(enc(i(tc),X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',data_encrypt) ).

fof(f187,plain,
    ( spl0_11
    | ~ spl0_12
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f135,f98,f184,f180]) ).

fof(f180,plain,
    ( spl0_11
  <=> p(t1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f184,plain,
    ( spl0_12
  <=> p(i(w)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f135,plain,
    ( ~ p(i(w))
    | p(t1)
    | ~ spl0_3 ),
    inference(resolution,[],[f122,f57]) ).

fof(f57,plain,
    p(enc(w,t1)),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    p(enc(w,t1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_3) ).

fof(f122,plain,
    ( ! [X0,X1] :
        ( ~ p(enc(X0,X1))
        | ~ p(i(X0))
        | p(X1) )
    | ~ spl0_3 ),
    inference(superposition,[],[f99,f65]) ).

fof(f173,plain,
    ( spl0_9
    | ~ spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f134,f98,f170,f166]) ).

fof(f170,plain,
    ( spl0_10
  <=> p(i(lp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f134,plain,
    ( ~ p(i(lp))
    | p(t2)
    | ~ spl0_3 ),
    inference(resolution,[],[f122,f58]) ).

fof(f163,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f132,f98,f160,f156]) ).

fof(f160,plain,
    ( spl0_8
  <=> p(i(tc)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f132,plain,
    ( ~ p(i(tc))
    | p(k)
    | ~ spl0_3 ),
    inference(resolution,[],[f122,f59]) ).

fof(f153,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f131,f98,f150,f146]) ).

fof(f146,plain,
    ( spl0_5
  <=> p(w) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f150,plain,
    ( spl0_6
  <=> p(i(wk)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f131,plain,
    ( ~ p(i(wk))
    | p(w)
    | ~ spl0_3 ),
    inference(resolution,[],[f122,f60]) ).

fof(f60,plain,
    p(enc(wk,w)),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,axiom,
    p(enc(wk,w)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_2) ).

fof(f144,plain,
    ( spl0_1
    | spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f68,f142,f87,f87]) ).

fof(f68,plain,
    ! [X2,X0,X1] :
      ( p(enc(wk,enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( p(enc(wk,enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( p(enc(wk,enc(i(tmk),X0)))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(wk,enc(i(tmk),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',receive_working_key_from_switch) ).

fof(f118,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f56]) ).

fof(f56,plain,
    p(i(kk)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    p(i(kk)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_7) ).

fof(f88,plain,
    ( ! [X1] : ~ p(X1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f117,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f103]) ).

fof(f103,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f61]) ).

fof(f116,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f104]) ).

fof(f104,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f60]) ).

fof(f115,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f59]) ).

fof(f114,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f107]) ).

fof(f107,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f58]) ).

fof(f113,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f108]) ).

fof(f108,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f57]) ).

fof(f112,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f109,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f54]) ).

fof(f54,plain,
    p(kk),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,axiom,
    p(kk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intruder_knows_6) ).

fof(f111,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f88,f55]) ).

fof(f100,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f67,f98,f87]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( p(enc(X0,X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( p(enc(X0,X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( p(enc(X0,X1))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',attacker_can_encrypt) ).

fof(f92,plain,
    ( spl0_1
    | spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f66,f90,f87,f87]) ).

fof(f66,plain,
    ! [X2,X0,X1] :
      ( p(enc(tc,X0))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( p(enc(tc,X0))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(flattening,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( p(enc(tc,X0))
      | ~ p(X2)
      | ~ p(X1)
      | ~ p(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( p(X2)
        & p(X1)
        & p(X0) )
     => p(enc(tc,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',encrypt_clear_key_as_Tcomms_key) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV237+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 09:02:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (24734)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (24740)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (24737)WARNING: value z3 for option sas not known
% 0.14/0.37  % (24736)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (24735)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (24737)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (24738)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (24741)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (24739)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [4]
% 0.14/0.39  TRYING [3]
% 0.14/0.40  % (24737)First to succeed.
% 0.14/0.40  % (24737)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24734"
% 0.14/0.40  % (24737)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Theorem for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40  % (24737)------------------------------
% 0.14/0.40  % (24737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40  % (24737)Termination reason: Refutation
% 0.14/0.40  
% 0.14/0.40  % (24737)Memory used [KB]: 1072
% 0.14/0.40  % (24737)Time elapsed: 0.032 s
% 0.14/0.40  % (24737)Instructions burned: 47 (million)
% 0.14/0.40  % (24734)Success in time 0.045 s
%------------------------------------------------------------------------------