%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : NUM568+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n001.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 13:15:45 EDT 2024

% Result   : Theorem 0.21s 0.44s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (   7 unt;   0 def)
%            Number of atoms       :   75 (  26 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   71 (  28   ~;  30   |;   8   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   16 (  10   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f505,plain,
    $false,
    inference(avatar_sat_refutation,[],[f454,f477,f483,f504]) ).

fof(f504,plain,
    ~ spl25_13,
    inference(avatar_contradiction_clause,[],[f503]) ).

fof(f503,plain,
    ( $false
    | ~ spl25_13 ),
    inference(trivial_inequality_removal,[],[f502]) ).

fof(f502,plain,
    ( sz00 != sz00
    | ~ spl25_13 ),
    inference(superposition,[],[f220,f472]) ).

fof(f472,plain,
    ( sz00 = xK
    | ~ spl25_13 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl25_13
  <=> sz00 = xK ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).

fof(f220,plain,
    sz00 != xK,
    inference(cnf_transformation,[],[f78]) ).

fof(f78,axiom,
    sz00 != xK,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f483,plain,
    ( ~ spl25_11
    | spl25_13
    | spl25_14 ),
    inference(avatar_split_clause,[],[f482,f474,f470,f441]) ).

fof(f441,plain,
    ( spl25_11
  <=> aElementOf0(xK,szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).

fof(f474,plain,
    ( spl25_14
  <=> aElementOf0(sK14(xK),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).

fof(f482,plain,
    ( sz00 = xK
    | ~ aElementOf0(xK,szNzAzT0)
    | spl25_14 ),
    inference(resolution,[],[f476,f281]) ).

fof(f281,plain,
    ! [X0] :
      ( aElementOf0(sK14(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ( szszuzczcdt0(sK14(X0)) = X0
        & aElementOf0(sK14(X0),szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f109,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
     => ( szszuzczcdt0(sK14(X0)) = X0
        & aElementOf0(sK14(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f109,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ? [X1] :
          ( szszuzczcdt0(X1) = X0
          & aElementOf0(X1,szNzAzT0) )
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( ? [X1] :
            ( szszuzczcdt0(X1) = X0
            & aElementOf0(X1,szNzAzT0) )
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f476,plain,
    ( ~ aElementOf0(sK14(xK),szNzAzT0)
    | spl25_14 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f477,plain,
    ( ~ spl25_11
    | spl25_13
    | ~ spl25_14 ),
    inference(avatar_split_clause,[],[f468,f474,f470,f441]) ).

fof(f468,plain,
    ( ~ aElementOf0(sK14(xK),szNzAzT0)
    | sz00 = xK
    | ~ aElementOf0(xK,szNzAzT0) ),
    inference(equality_resolution,[],[f460]) ).

fof(f460,plain,
    ! [X0] :
      ( xK != X0
      | ~ aElementOf0(sK14(X0),szNzAzT0)
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(superposition,[],[f219,f282]) ).

fof(f282,plain,
    ! [X0] :
      ( szszuzczcdt0(sK14(X0)) = X0
      | sz00 = X0
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f219,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != xK
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( szszuzczcdt0(X0) != xK
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,negated_conjecture,
    ~ ? [X0] :
        ( szszuzczcdt0(X0) = xK
        & aElementOf0(X0,szNzAzT0) ),
    inference(negated_conjecture,[],[f80]) ).

fof(f80,conjecture,
    ? [X0] :
      ( szszuzczcdt0(X0) = xK
      & aElementOf0(X0,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f454,plain,
    spl25_11,
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f453,plain,
    ( $false
    | spl25_11 ),
    inference(resolution,[],[f443,f222]) ).

fof(f222,plain,
    aElementOf0(xK,szNzAzT0),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    aElementOf0(xK,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

fof(f443,plain,
    ( ~ aElementOf0(xK,szNzAzT0)
    | spl25_11 ),
    inference(avatar_component_clause,[],[f441]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM568+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n001.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 01:51:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1764)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1763)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)
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1767)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1766)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1768)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1765)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.21/0.43  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (1769)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.21/0.43  % (1768)First to succeed.
% 0.21/0.43  % (1768)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1762"
% 0.21/0.44  % (1762)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44  % (1768)Refutation found. Thanks to Tanya!
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44  % (1768)------------------------------
% 0.21/0.44  % (1768)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (1768)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (1768)Termination reason: Refutation
% 0.21/0.44  
% 0.21/0.44  % (1768)Memory used [KB]: 1367
% 0.21/0.44  % (1768)Time elapsed: 0.010 s
% 0.21/0.44  % (1768)Instructions burned: 12 (million)
% 0.21/0.44  % (1768)------------------------------
% 0.21/0.44  % (1768)------------------------------
% 0.21/0.44  % (1762)Success in time 0.065 s
%------------------------------------------------------------------------------