TSTP Solution File: SWV233+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV233+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 : Sun May  5 10:28:29 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  165 (  40 unt;   0 def)
%            Number of atoms       :  466 (  60 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  548 ( 247   ~; 226   |;  47   &)
%                                         (  18 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;   9 con; 0-2 aty)
%            Number of variables   :  206 ( 206   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f365,plain,
    $false,
    inference(avatar_sat_refutation,[],[f114,f135,f143,f153,f155,f176,f178,f187,f189,f199,f240,f242,f267,f269,f272,f293,f295,f300,f360]) ).

fof(f360,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f305]) ).

fof(f305,plain,
    ( $false
    | ~ spl0_13 ),
    inference(resolution,[],[f198,f75]) ).

fof(f75,plain,
    knows(inverse(k_a)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ( knows(k_a)
    & knows(inverse(k_a))
    & knows(k_ca) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',previous_knowledge) ).

fof(f198,plain,
    ( ! [X0] : ~ knows(X0)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f197,plain,
    ( spl0_13
  <=> ! [X0] : ~ knows(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f300,plain,
    ( ~ spl0_8
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f299,f287,f170]) ).

fof(f170,plain,
    ( spl0_8
  <=> knows(k_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f287,plain,
    ( spl0_26
  <=> ! [X0,X1] : ~ knows(concatenate(X0,concatenate(k_a,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f299,plain,
    ( ~ knows(k_a)
    | ~ spl0_26 ),
    inference(condensation,[],[f298]) ).

fof(f298,plain,
    ( ! [X0] :
        ( ~ knows(X0)
        | ~ knows(k_a) )
    | ~ spl0_26 ),
    inference(resolution,[],[f297,f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( knows(concatenate(X0,X1))
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( knows(sign(X0,X1))
        & knows(extract(X0,X1))
        & knows(symmetric_decrypt(X0,X1))
        & knows(decrypt(X0,X1))
        & knows(symmetric_encrypt(X0,X1))
        & knows(encrypt(X0,X1))
        & knows(concatenate(X0,X1)) )
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( knows(sign(X0,X1))
        & knows(extract(X0,X1))
        & knows(symmetric_decrypt(X0,X1))
        & knows(decrypt(X0,X1))
        & knows(symmetric_encrypt(X0,X1))
        & knows(encrypt(X0,X1))
        & knows(concatenate(X0,X1)) )
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ( knows(X1)
        & knows(X0) )
     => ( knows(sign(X0,X1))
        & knows(extract(X0,X1))
        & knows(symmetric_decrypt(X0,X1))
        & knows(decrypt(X0,X1))
        & knows(symmetric_encrypt(X0,X1))
        & knows(encrypt(X0,X1))
        & knows(concatenate(X0,X1)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',construct_message_1) ).

fof(f297,plain,
    ( ! [X0] : ~ knows(concatenate(k_a,X0))
    | ~ spl0_26 ),
    inference(condensation,[],[f296]) ).

fof(f296,plain,
    ( ! [X0,X1] :
        ( ~ knows(concatenate(k_a,X0))
        | ~ knows(X1) )
    | ~ spl0_26 ),
    inference(resolution,[],[f288,f52]) ).

fof(f288,plain,
    ( ! [X0,X1] : ~ knows(concatenate(X0,concatenate(k_a,X1)))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f295,plain,
    spl0_27,
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f294,plain,
    ( $false
    | spl0_27 ),
    inference(resolution,[],[f292,f75]) ).

fof(f292,plain,
    ( ~ knows(inverse(k_a))
    | spl0_27 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl0_27
  <=> knows(inverse(k_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f293,plain,
    ( spl0_26
    | ~ spl0_27
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f285,f167,f290,f287]) ).

fof(f167,plain,
    ( spl0_7
  <=> ! [X2,X1] : ~ knows(sign(concatenate(X1,concatenate(k_a,X2)),inverse(k_a))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f285,plain,
    ( ! [X0,X1] :
        ( ~ knows(inverse(k_a))
        | ~ knows(concatenate(X0,concatenate(k_a,X1))) )
    | ~ spl0_7 ),
    inference(resolution,[],[f168,f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( knows(sign(X0,X1))
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f168,plain,
    ( ! [X2,X1] : ~ knows(sign(concatenate(X1,concatenate(k_a,X2)),inverse(k_a)))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f272,plain,
    ( ~ spl0_19
    | ~ spl0_12
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f270,f265,f174,f193,f252]) ).

fof(f252,plain,
    ( spl0_19
  <=> knows(n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f193,plain,
    ( spl0_12
  <=> knows(kgen(k_a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f174,plain,
    ( spl0_9
  <=> ! [X0] :
        ( ~ knows(X0)
        | knows(sign(concatenate(kgen(k_a),concatenate(X0,eol)),inverse(k_s))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f265,plain,
    ( spl0_22
  <=> ! [X0,X1] :
        ( ~ knows(X0)
        | ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f270,plain,
    ( ~ knows(kgen(k_a))
    | ~ knows(n)
    | ~ spl0_9
    | ~ spl0_22 ),
    inference(resolution,[],[f266,f175]) ).

fof(f175,plain,
    ( ! [X0] :
        ( knows(sign(concatenate(kgen(k_a),concatenate(X0,eol)),inverse(k_s)))
        | ~ knows(X0) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f266,plain,
    ( ! [X0,X1] :
        ( ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s)))
        | ~ knows(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f269,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f254,f100]) ).

fof(f100,plain,
    knows(n),
    inference(resolution,[],[f77,f59]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ knows(concatenate(X0,X1))
      | knows(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( knows(X1)
        & knows(X0) )
      | ~ knows(concatenate(X0,X1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( knows(concatenate(X0,X1))
     => ( knows(X1)
        & knows(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',construct_message_2) ).

fof(f77,plain,
    knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
        | second(extract(X2,X1)) != X1
        | ~ knows(X2)
        | ~ knows(X1)
        | ~ knows(X0) )
      & ( knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))))
        | n != second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
        | s != first(extract(X4,k_ca))
        | ~ knows(X4)
        | ~ knows(X3) )
      & knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
        | second(extract(X2,X1)) != X1
        | ~ knows(X2)
        | ~ knows(X1)
        | ~ knows(X0) )
      & ( knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))))
        | n != second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
        | s != first(extract(X4,k_ca))
        | ~ knows(X4)
        | ~ knows(X3) )
      & knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ( second(extract(X2,X1)) = X1
          & knows(X2)
          & knows(X1)
          & knows(X0) )
       => knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
      & ( ( n = second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
          & s = first(extract(X4,k_ca))
          & knows(X4)
          & knows(X3) )
       => knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca)))))) )
      & knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X6,X7,X8,X9,X10] :
      ( ( ( second(extract(X8,X7)) = X7
          & knows(X8)
          & knows(X7)
          & knows(X6) )
       => knows(concatenate(encrypt(sign(concatenate(kgen(X7),concatenate(X6,eol)),inverse(k_s)),X7),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))) )
      & ( ( n = second(extract(decrypt(X9,inverse(k_c)),second(extract(X10,k_ca))))
          & first(extract(X10,k_ca)) = s
          & knows(X10)
          & knows(X9) )
       => knows(symmetric_encrypt(secret,first(extract(decrypt(X9,inverse(k_c)),second(extract(X10,k_ca)))))) )
      & knows(concatenate(n,concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))))) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',protocol) ).

fof(f254,plain,
    ( ~ knows(n)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f267,plain,
    ( ~ spl0_2
    | spl0_22
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f247,f238,f265,f109]) ).

fof(f109,plain,
    ( spl0_2
  <=> knows(k_c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f238,plain,
    ( spl0_17
  <=> ! [X0,X1] :
        ( n != first(X0)
        | ~ knows(X1)
        | ~ knows(encrypt(sign(concatenate(X1,X0),inverse(k_s)),k_c)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f247,plain,
    ( ! [X0,X1] :
        ( ~ knows(X0)
        | ~ knows(k_c)
        | ~ knows(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s))) )
    | ~ spl0_17 ),
    inference(resolution,[],[f244,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( knows(encrypt(X0,X1))
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f244,plain,
    ( ! [X0,X1] :
        ( ~ knows(encrypt(sign(concatenate(X0,concatenate(n,X1)),inverse(k_s)),k_c))
        | ~ knows(X0) )
    | ~ spl0_17 ),
    inference(equality_resolution,[],[f243]) ).

fof(f243,plain,
    ( ! [X2,X0,X1] :
        ( n != X0
        | ~ knows(X2)
        | ~ knows(encrypt(sign(concatenate(X2,concatenate(X0,X1)),inverse(k_s)),k_c)) )
    | ~ spl0_17 ),
    inference(superposition,[],[f239,f85]) ).

fof(f85,plain,
    ! [X0,X1] : first(concatenate(X0,X1)) = X0,
    inference(definition_unfolding,[],[f67,f69]) ).

fof(f69,plain,
    ! [X0] : head(X0) = first(X0),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] : head(X0) = first(X0),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X4] : first(X4) = head(X4),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',first_axiom) ).

fof(f67,plain,
    ! [X0,X1] : head(concatenate(X0,X1)) = X0,
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0,X1] : head(concatenate(X0,X1)) = X0,
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X4,X5] : head(concatenate(X4,X5)) = X4,
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',head_axiom) ).

fof(f239,plain,
    ( ! [X0,X1] :
        ( n != first(X0)
        | ~ knows(X1)
        | ~ knows(encrypt(sign(concatenate(X1,X0),inverse(k_s)),k_c)) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f242,plain,
    ~ spl0_16,
    inference(avatar_contradiction_clause,[],[f241]) ).

fof(f241,plain,
    ( $false
    | ~ spl0_16 ),
    inference(resolution,[],[f236,f80]) ).

fof(f80,plain,
    ~ knows(secret),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ knows(secret),
    inference(flattening,[],[f20]) ).

fof(f20,negated_conjecture,
    ~ knows(secret),
    inference(negated_conjecture,[],[f19]) ).

fof(f19,conjecture,
    knows(secret),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',attack) ).

fof(f236,plain,
    ( knows(secret)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_16
  <=> knows(secret) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f240,plain,
    ( spl0_16
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f232,f129,f238,f234]) ).

fof(f129,plain,
    ( spl0_3
  <=> knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f232,plain,
    ( ! [X0,X1] :
        ( n != first(X0)
        | ~ knows(encrypt(sign(concatenate(X1,X0),inverse(k_s)),k_c))
        | ~ knows(X1)
        | knows(secret) )
    | ~ spl0_3 ),
    inference(resolution,[],[f231,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ knows(symmetric_encrypt(X0,X1))
      | ~ knows(X1)
      | knows(X0) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( knows(X0)
      | ~ knows(X1)
      | ~ knows(symmetric_encrypt(X0,X1)) ),
    inference(flattening,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( knows(X0)
      | ~ knows(X1)
      | ~ knows(symmetric_encrypt(X0,X1)) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ( knows(X1)
        & knows(symmetric_encrypt(X0,X1)) )
     => knows(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',symmetric_encrypt_equation) ).

fof(f231,plain,
    ( ! [X0,X1] :
        ( knows(symmetric_encrypt(secret,X0))
        | n != first(X1)
        | ~ knows(encrypt(sign(concatenate(X0,X1),inverse(k_s)),k_c)) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f230,f85]) ).

fof(f230,plain,
    ( ! [X0,X1] :
        ( n != first(X1)
        | knows(symmetric_encrypt(secret,first(concatenate(X0,X1))))
        | ~ knows(encrypt(sign(concatenate(X0,X1),inverse(k_s)),k_c)) )
    | ~ spl0_3 ),
    inference(superposition,[],[f229,f68]) ).

fof(f68,plain,
    ! [X0,X1] : tail(concatenate(X0,X1)) = X1,
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] : tail(concatenate(X0,X1)) = X1,
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X4,X5] : tail(concatenate(X4,X5)) = X5,
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',tail_axiom) ).

fof(f229,plain,
    ( ! [X0] :
        ( n != first(tail(X0))
        | knows(symmetric_encrypt(secret,first(X0)))
        | ~ knows(encrypt(sign(X0,inverse(k_s)),k_c)) )
    | ~ spl0_3 ),
    inference(superposition,[],[f228,f66]) ).

fof(f66,plain,
    ! [X0,X1] : extract(sign(X0,inverse(X1)),X1) = X0,
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] : extract(sign(X0,inverse(X1)),X1) = X0,
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X3] : extract(sign(X2,inverse(X3)),X3) = X2,
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',sign_axiom) ).

fof(f228,plain,
    ( ! [X0] :
        ( n != first(tail(extract(X0,k_s)))
        | knows(symmetric_encrypt(secret,first(extract(X0,k_s))))
        | ~ knows(encrypt(X0,k_c)) )
    | ~ spl0_3 ),
    inference(superposition,[],[f217,f64]) ).

fof(f64,plain,
    ! [X0,X1] : decrypt(encrypt(X0,X1),inverse(X1)) = X0,
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : decrypt(encrypt(X0,X1),inverse(X1)) = X0,
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X2,X3] : decrypt(encrypt(X2,X3),inverse(X3)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',decrypt_axiom) ).

fof(f217,plain,
    ( ! [X0] :
        ( n != first(tail(extract(decrypt(X0,inverse(k_c)),k_s)))
        | knows(symmetric_encrypt(secret,first(extract(decrypt(X0,inverse(k_c)),k_s))))
        | ~ knows(X0) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f216,f85]) ).

fof(f216,plain,
    ( ! [X0] :
        ( knows(symmetric_encrypt(secret,first(extract(decrypt(X0,inverse(k_c)),k_s))))
        | n != first(tail(extract(decrypt(X0,inverse(k_c)),first(concatenate(k_s,eol)))))
        | ~ knows(X0) )
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f214,f85]) ).

fof(f214,plain,
    ( ! [X0] :
        ( knows(symmetric_encrypt(secret,first(extract(decrypt(X0,inverse(k_c)),first(concatenate(k_s,eol))))))
        | n != first(tail(extract(decrypt(X0,inverse(k_c)),first(concatenate(k_s,eol)))))
        | ~ knows(X0) )
    | ~ spl0_3 ),
    inference(resolution,[],[f213,f131]) ).

fof(f131,plain,
    ( knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca)))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ knows(sign(concatenate(s,X1),inverse(k_ca)))
      | knows(symmetric_encrypt(secret,first(extract(decrypt(X0,inverse(k_c)),first(X1)))))
      | n != first(tail(extract(decrypt(X0,inverse(k_c)),first(X1))))
      | ~ knows(X0) ),
    inference(equality_resolution,[],[f212]) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( s != X0
      | n != first(tail(extract(decrypt(X2,inverse(k_c)),first(X1))))
      | knows(symmetric_encrypt(secret,first(extract(decrypt(X2,inverse(k_c)),first(X1)))))
      | ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
      | ~ knows(X2) ),
    inference(forward_demodulation,[],[f211,f68]) ).

fof(f211,plain,
    ! [X2,X0,X1] :
      ( n != first(tail(extract(decrypt(X2,inverse(k_c)),first(X1))))
      | s != X0
      | knows(symmetric_encrypt(secret,first(extract(decrypt(X2,inverse(k_c)),first(tail(concatenate(X0,X1)))))))
      | ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
      | ~ knows(X2) ),
    inference(forward_demodulation,[],[f210,f68]) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( s != X0
      | n != first(tail(extract(decrypt(X2,inverse(k_c)),first(tail(concatenate(X0,X1))))))
      | knows(symmetric_encrypt(secret,first(extract(decrypt(X2,inverse(k_c)),first(tail(concatenate(X0,X1)))))))
      | ~ knows(sign(concatenate(X0,X1),inverse(k_ca)))
      | ~ knows(X2) ),
    inference(superposition,[],[f209,f85]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( s != first(X0)
      | n != first(tail(extract(decrypt(X1,inverse(k_c)),first(tail(X0)))))
      | knows(symmetric_encrypt(secret,first(extract(decrypt(X1,inverse(k_c)),first(tail(X0))))))
      | ~ knows(sign(X0,inverse(k_ca)))
      | ~ knows(X1) ),
    inference(superposition,[],[f87,f66]) ).

fof(f87,plain,
    ! [X3,X4] :
      ( s != first(extract(X4,k_ca))
      | n != first(tail(extract(decrypt(X3,inverse(k_c)),first(tail(extract(X4,k_ca))))))
      | knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),first(tail(extract(X4,k_ca)))))))
      | ~ knows(X4)
      | ~ knows(X3) ),
    inference(definition_unfolding,[],[f78,f82,f82,f82]) ).

fof(f82,plain,
    ! [X0] : second(X0) = first(tail(X0)),
    inference(definition_unfolding,[],[f70,f69]) ).

fof(f70,plain,
    ! [X0] : second(X0) = head(tail(X0)),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] : second(X0) = head(tail(X0)),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X4] : second(X4) = head(tail(X4)),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',second_axiom) ).

fof(f78,plain,
    ! [X3,X4] :
      ( knows(symmetric_encrypt(secret,first(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))))
      | n != second(extract(decrypt(X3,inverse(k_c)),second(extract(X4,k_ca))))
      | s != first(extract(X4,k_ca))
      | ~ knows(X4)
      | ~ knows(X3) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f199,plain,
    ( spl0_12
    | spl0_13
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f191,f185,f197,f193]) ).

fof(f185,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ knows(X0)
        | knows(concatenate(kgen(k_a),concatenate(X0,eol))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f191,plain,
    ( ! [X0] :
        ( ~ knows(X0)
        | knows(kgen(k_a)) )
    | ~ spl0_11 ),
    inference(resolution,[],[f186,f59]) ).

fof(f186,plain,
    ( ! [X0] :
        ( knows(concatenate(kgen(k_a),concatenate(X0,eol)))
        | ~ knows(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f185]) ).

fof(f189,plain,
    ( ~ spl0_5
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | ~ spl0_5
    | spl0_10 ),
    inference(resolution,[],[f183,f159]) ).

fof(f159,plain,
    ( knows(k_s)
    | ~ spl0_5 ),
    inference(resolution,[],[f156,f59]) ).

fof(f156,plain,
    ( knows(concatenate(k_s,eol))
    | ~ spl0_5 ),
    inference(resolution,[],[f148,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ knows(concatenate(X0,X1))
      | knows(X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f148,plain,
    ( knows(concatenate(s,concatenate(k_s,eol)))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl0_5
  <=> knows(concatenate(s,concatenate(k_s,eol))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f183,plain,
    ( ~ knows(k_s)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl0_10
  <=> knows(k_s) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f187,plain,
    ( ~ spl0_10
    | spl0_11
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f179,f174,f185,f181]) ).

fof(f179,plain,
    ( ! [X0] :
        ( ~ knows(X0)
        | ~ knows(k_s)
        | knows(concatenate(kgen(k_a),concatenate(X0,eol))) )
    | ~ spl0_9 ),
    inference(resolution,[],[f175,f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ knows(sign(X0,inverse(X1)))
      | ~ knows(X1)
      | knows(X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( knows(X0)
      | ~ knows(X1)
      | ~ knows(sign(X0,inverse(X1))) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( knows(X0)
      | ~ knows(X1)
      | ~ knows(sign(X0,inverse(X1))) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( knows(X1)
        & knows(sign(X0,inverse(X1))) )
     => knows(X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X2,X3] :
      ( ( knows(X3)
        & knows(sign(X2,inverse(X3))) )
     => knows(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',sign_equation) ).

fof(f178,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f177]) ).

fof(f177,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f172,f76]) ).

fof(f76,plain,
    knows(k_a),
    inference(cnf_transformation,[],[f17]) ).

fof(f172,plain,
    ( ~ knows(k_a)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f176,plain,
    ( spl0_7
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f165,f174,f170,f167]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( ~ knows(X0)
      | ~ knows(k_a)
      | ~ knows(sign(concatenate(X1,concatenate(k_a,X2)),inverse(k_a)))
      | knows(sign(concatenate(kgen(k_a),concatenate(X0,eol)),inverse(k_s))) ),
    inference(resolution,[],[f162,f75]) ).

fof(f162,plain,
    ! [X2,X3,X0,X1] :
      ( ~ knows(inverse(X1))
      | ~ knows(X3)
      | ~ knows(X1)
      | ~ knows(sign(concatenate(X0,concatenate(X1,X2)),inverse(X1)))
      | knows(sign(concatenate(kgen(X1),concatenate(X3,eol)),inverse(k_s))) ),
    inference(resolution,[],[f161,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ knows(encrypt(X0,X1))
      | ~ knows(inverse(X1))
      | knows(X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( knows(X0)
      | ~ knows(inverse(X1))
      | ~ knows(encrypt(X0,X1)) ),
    inference(flattening,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( knows(X0)
      | ~ knows(inverse(X1))
      | ~ knows(encrypt(X0,X1)) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ( knows(inverse(X1))
        & knows(encrypt(X0,X1)) )
     => knows(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091',encrypt_equation) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] :
      ( knows(encrypt(sign(concatenate(kgen(X0),concatenate(X3,eol)),inverse(k_s)),X0))
      | ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
      | ~ knows(X3)
      | ~ knows(X0) ),
    inference(superposition,[],[f125,f85]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ knows(first(X1))
      | ~ knows(sign(concatenate(X0,X1),inverse(first(X1))))
      | ~ knows(X2)
      | knows(encrypt(sign(concatenate(kgen(first(X1)),concatenate(X2,eol)),inverse(k_s)),first(X1))) ),
    inference(resolution,[],[f123,f59]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( knows(concatenate(encrypt(sign(concatenate(kgen(first(X0)),concatenate(X1,eol)),inverse(k_s)),first(X0)),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
      | ~ knows(sign(concatenate(X2,X0),inverse(first(X0))))
      | ~ knows(first(X0))
      | ~ knows(X1) ),
    inference(equality_resolution,[],[f120]) ).

fof(f120,plain,
    ! [X2,X3,X0,X1] :
      ( first(X1) != X2
      | knows(concatenate(encrypt(sign(concatenate(kgen(X2),concatenate(X3,eol)),inverse(k_s)),X2),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
      | ~ knows(sign(concatenate(X0,X1),inverse(X2)))
      | ~ knows(X2)
      | ~ knows(X3) ),
    inference(superposition,[],[f119,f68]) ).

fof(f119,plain,
    ! [X2,X0,X1] :
      ( first(tail(X0)) != X1
      | knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X2,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
      | ~ knows(sign(X0,inverse(X1)))
      | ~ knows(X1)
      | ~ knows(X2) ),
    inference(superposition,[],[f86,f66]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( first(tail(extract(X2,X1))) != X1
      | knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
      | ~ knows(X2)
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(definition_unfolding,[],[f79,f82]) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( knows(concatenate(encrypt(sign(concatenate(kgen(X1),concatenate(X0,eol)),inverse(k_s)),X1),sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))))
      | second(extract(X2,X1)) != X1
      | ~ knows(X2)
      | ~ knows(X1)
      | ~ knows(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f155,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f154]) ).

fof(f154,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f152,f74]) ).

fof(f74,plain,
    knows(k_ca),
    inference(cnf_transformation,[],[f17]) ).

fof(f152,plain,
    ( ~ knows(k_ca)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl0_6
  <=> knows(k_ca) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f153,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f144,f129,f150,f146]) ).

fof(f144,plain,
    ( ~ knows(k_ca)
    | knows(concatenate(s,concatenate(k_s,eol)))
    | ~ spl0_3 ),
    inference(resolution,[],[f131,f51]) ).

fof(f143,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f141,f133,f109]) ).

fof(f133,plain,
    ( spl0_4
  <=> ! [X0,X1] :
        ( ~ knows(sign(concatenate(X0,X1),inverse(first(X1))))
        | ~ knows(first(X1)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f141,plain,
    ( ~ knows(k_c)
    | ~ spl0_4 ),
    inference(resolution,[],[f137,f101]) ).

fof(f101,plain,
    knows(sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c))),
    inference(resolution,[],[f99,f60]) ).

fof(f99,plain,
    knows(concatenate(k_c,sign(concatenate(c,concatenate(k_c,eol)),inverse(k_c)))),
    inference(resolution,[],[f77,f60]) ).

fof(f137,plain,
    ( ! [X2,X0,X1] :
        ( ~ knows(sign(concatenate(X2,concatenate(X0,X1)),inverse(X0)))
        | ~ knows(X0) )
    | ~ spl0_4 ),
    inference(superposition,[],[f134,f85]) ).

fof(f134,plain,
    ( ! [X0,X1] :
        ( ~ knows(first(X1))
        | ~ knows(sign(concatenate(X0,X1),inverse(first(X1)))) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f135,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f127,f133,f129]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ~ knows(sign(concatenate(X0,X1),inverse(first(X1))))
      | ~ knows(first(X1))
      | knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))) ),
    inference(condensation,[],[f124]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( ~ knows(sign(concatenate(X0,X1),inverse(first(X1))))
      | ~ knows(first(X1))
      | ~ knows(X2)
      | knows(sign(concatenate(s,concatenate(k_s,eol)),inverse(k_ca))) ),
    inference(resolution,[],[f123,f60]) ).

fof(f114,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f113,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f111,f102]) ).

fof(f102,plain,
    knows(k_c),
    inference(resolution,[],[f99,f59]) ).

fof(f111,plain,
    ( ~ knows(k_c)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWV233+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n023.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 21:07:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.wuZOJolXnD/Vampire---4.8_21091
% 0.57/0.75  % (21350)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75  % (21355)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75  % (21355)Refutation not found, incomplete strategy% (21355)------------------------------
% 0.57/0.75  % (21355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (21355)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21355)Memory used [KB]: 950
% 0.57/0.75  % (21355)Time elapsed: 0.001 s
% 0.57/0.75  % (21355)Instructions burned: 2 (million)
% 0.57/0.75  % (21355)------------------------------
% 0.57/0.75  % (21355)------------------------------
% 0.57/0.75  % (21349)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (21351)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (21352)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75  % (21353)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75  % (21354)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75  % (21352)Refutation not found, incomplete strategy% (21352)------------------------------
% 0.57/0.75  % (21352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (21352)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21352)Memory used [KB]: 950
% 0.57/0.75  % (21352)Time elapsed: 0.002 s
% 0.57/0.75  % (21354)Refutation not found, incomplete strategy% (21354)------------------------------
% 0.57/0.75  % (21354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (21354)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21354)Memory used [KB]: 949
% 0.57/0.75  % (21354)Time elapsed: 0.002 s
% 0.57/0.75  % (21354)Instructions burned: 2 (million)
% 0.57/0.75  % (21352)Instructions burned: 2 (million)
% 0.57/0.75  % (21354)------------------------------
% 0.57/0.75  % (21354)------------------------------
% 0.57/0.75  % (21352)------------------------------
% 0.57/0.75  % (21352)------------------------------
% 0.57/0.75  % (21353)Refutation not found, incomplete strategy% (21353)------------------------------
% 0.57/0.75  % (21353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (21353)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21353)Memory used [KB]: 1034
% 0.57/0.75  % (21353)Time elapsed: 0.003 s
% 0.57/0.75  % (21353)Instructions burned: 3 (million)
% 0.57/0.75  % (21353)------------------------------
% 0.57/0.75  % (21353)------------------------------
% 0.57/0.75  % (21349)Refutation not found, incomplete strategy% (21349)------------------------------
% 0.57/0.75  % (21349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (21349)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21349)Memory used [KB]: 992
% 0.57/0.75  % (21349)Time elapsed: 0.004 s
% 0.57/0.75  % (21349)Instructions burned: 4 (million)
% 0.57/0.75  % (21357)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.57/0.75  % (21349)------------------------------
% 0.57/0.75  % (21349)------------------------------
% 0.57/0.75  % (21356)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75  % (21350)First to succeed.
% 0.57/0.75  % (21356)Refutation not found, incomplete strategy% (21356)------------------------------
% 0.57/0.75  % (21356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (21356)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (21356)Memory used [KB]: 949
% 0.57/0.75  % (21356)Time elapsed: 0.004 s
% 0.57/0.75  % (21356)Instructions burned: 2 (million)
% 0.57/0.75  % (21358)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.57/0.75  % (21356)------------------------------
% 0.57/0.75  % (21356)------------------------------
% 0.57/0.76  % (21350)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21344"
% 0.57/0.76  % (21360)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.57/0.76  % (21350)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (21350)------------------------------
% 0.57/0.76  % (21350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (21350)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (21350)Memory used [KB]: 1202
% 0.57/0.76  % (21350)Time elapsed: 0.008 s
% 0.57/0.76  % (21350)Instructions burned: 18 (million)
% 0.57/0.76  % (21344)Success in time 0.378 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------