%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.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 : Wed Aug 31 18:27:35 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   33 (   9 unt;   0 def)
%            Number of atoms       :   90 (  35 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   88 (  31   ~;  25   |;  22   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   13 (  10   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f237,plain,
    $false,
    inference(avatar_sat_refutation,[],[f182,f232,f235]) ).

fof(f235,plain,
    spl12_2,
    inference(avatar_contradiction_clause,[],[f234]) ).

fof(f234,plain,
    ( $false
    | spl12_2 ),
    inference(subsumption_resolution,[],[f233,f186]) ).

fof(f186,plain,
    relation_rng(relation_inverse(sK8)) = relation_dom(sK8),
    inference(unit_resulting_resolution,[],[f142,f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ relation(X0)
      | relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( relation_dom(X0) = relation_rng(relation_inverse(X0))
        & relation_rng(X0) = relation_dom(relation_inverse(X0)) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0] :
      ( relation(X0)
     => ( relation_dom(X0) = relation_rng(relation_inverse(X0))
        & relation_rng(X0) = relation_dom(relation_inverse(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).

fof(f142,plain,
    relation(sK8),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ( one_to_one(sK8)
    & function(sK8)
    & ( relation_dom(sK8) != relation_rng(function_inverse(sK8))
      | relation_rng(sK8) != relation_dom(function_inverse(sK8)) )
    & relation(sK8) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f72,f101]) ).

fof(f101,plain,
    ( ? [X0] :
        ( one_to_one(X0)
        & function(X0)
        & ( relation_dom(X0) != relation_rng(function_inverse(X0))
          | relation_rng(X0) != relation_dom(function_inverse(X0)) )
        & relation(X0) )
   => ( one_to_one(sK8)
      & function(sK8)
      & ( relation_dom(sK8) != relation_rng(function_inverse(sK8))
        | relation_rng(sK8) != relation_dom(function_inverse(sK8)) )
      & relation(sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0] :
      ( one_to_one(X0)
      & function(X0)
      & ( relation_dom(X0) != relation_rng(function_inverse(X0))
        | relation_rng(X0) != relation_dom(function_inverse(X0)) )
      & relation(X0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ? [X0] :
      ( ( relation_dom(X0) != relation_rng(function_inverse(X0))
        | relation_rng(X0) != relation_dom(function_inverse(X0)) )
      & one_to_one(X0)
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( one_to_one(X0)
         => ( relation_dom(X0) = relation_rng(function_inverse(X0))
            & relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
       => ( relation_dom(X0) = relation_rng(function_inverse(X0))
          & relation_rng(X0) = relation_dom(function_inverse(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).

fof(f233,plain,
    ( relation_rng(relation_inverse(sK8)) != relation_dom(sK8)
    | spl12_2 ),
    inference(forward_demodulation,[],[f181,f224]) ).

fof(f224,plain,
    function_inverse(sK8) = relation_inverse(sK8),
    inference(unit_resulting_resolution,[],[f142,f144,f145,f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ one_to_one(X0)
      | function_inverse(X0) = relation_inverse(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( ~ one_to_one(X0)
      | ~ relation(X0)
      | function_inverse(X0) = relation_inverse(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f75]) ).

fof(f75,plain,
    ! [X0] :
      ( function_inverse(X0) = relation_inverse(X0)
      | ~ one_to_one(X0)
      | ~ function(X0)
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( function(X0)
        & relation(X0) )
     => ( one_to_one(X0)
       => function_inverse(X0) = relation_inverse(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).

fof(f145,plain,
    one_to_one(sK8),
    inference(cnf_transformation,[],[f102]) ).

fof(f144,plain,
    function(sK8),
    inference(cnf_transformation,[],[f102]) ).

fof(f181,plain,
    ( relation_dom(sK8) != relation_rng(function_inverse(sK8))
    | spl12_2 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl12_2
  <=> relation_dom(sK8) = relation_rng(function_inverse(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).

fof(f232,plain,
    spl12_1,
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | spl12_1 ),
    inference(subsumption_resolution,[],[f230,f185]) ).

fof(f185,plain,
    relation_dom(relation_inverse(sK8)) = relation_rng(sK8),
    inference(unit_resulting_resolution,[],[f142,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( relation_rng(X0) = relation_dom(relation_inverse(X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f230,plain,
    ( relation_dom(relation_inverse(sK8)) != relation_rng(sK8)
    | spl12_1 ),
    inference(backward_demodulation,[],[f177,f224]) ).

fof(f177,plain,
    ( relation_rng(sK8) != relation_dom(function_inverse(sK8))
    | spl12_1 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl12_1
  <=> relation_rng(sK8) = relation_dom(function_inverse(sK8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).

fof(f182,plain,
    ( ~ spl12_1
    | ~ spl12_2 ),
    inference(avatar_split_clause,[],[f143,f179,f175]) ).

fof(f143,plain,
    ( relation_dom(sK8) != relation_rng(function_inverse(sK8))
    | relation_rng(sK8) != relation_dom(function_inverse(sK8)) ),
    inference(cnf_transformation,[],[f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:50:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (2310)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50  % (2311)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (2312)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51  % (2326)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (2312)First to succeed.
% 0.19/0.52  % (2318)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (2310)Also succeeded, but the first one will report.
% 0.19/0.52  % (2312)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.52  % (2312)------------------------------
% 1.32/0.52  % (2312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (2312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (2312)Termination reason: Refutation
% 1.32/0.52  
% 1.32/0.52  % (2312)Memory used [KB]: 6012
% 1.32/0.52  % (2312)Time elapsed: 0.111 s
% 1.32/0.52  % (2312)Instructions burned: 4 (million)
% 1.32/0.52  % (2312)------------------------------
% 1.32/0.52  % (2312)------------------------------
% 1.32/0.52  % (2304)Success in time 0.169 s
%------------------------------------------------------------------------------