%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n027.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 18:27:20 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   65 (  30   ~;  18   |;   7   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  30   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(subsumption_resolution,[],[f140,f102]) ).

fof(f102,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,plain,
    ( ~ subset(relation_rng(relation_rng_restriction(sK3,sK2)),relation_rng(sK2))
    & relation(sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f55,f74]) ).

fof(f74,plain,
    ( ? [X0,X1] :
        ( ~ subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0))
        & relation(X0) )
   => ( ~ subset(relation_rng(relation_rng_restriction(sK3,sK2)),relation_rng(sK2))
      & relation(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f55,plain,
    ? [X0,X1] :
      ( ~ subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0))
      & relation(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ~ ! [X1,X0] :
        ( relation(X0)
       => subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0)) ),
    inference(rectify,[],[f26]) ).

fof(f26,negated_conjecture,
    ~ ! [X1,X0] :
        ( relation(X1)
       => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    inference(negated_conjecture,[],[f25]) ).

fof(f25,conjecture,
    ! [X1,X0] :
      ( relation(X1)
     => subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).

fof(f140,plain,
    ~ relation(sK2),
    inference(resolution,[],[f139,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( relation(relation_rng_restriction(X1,X0))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | relation(relation_rng_restriction(X1,X0)) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ! [X1,X0] :
      ( ~ relation(X1)
      | relation(relation_rng_restriction(X0,X1)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => relation(relation_rng_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

fof(f139,plain,
    ~ relation(relation_rng_restriction(sK3,sK2)),
    inference(subsumption_resolution,[],[f137,f102]) ).

fof(f137,plain,
    ( ~ relation(relation_rng_restriction(sK3,sK2))
    | ~ relation(sK2) ),
    inference(resolution,[],[f135,f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( subset(relation_rng_restriction(X1,X0),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ relation(X0)
      | subset(relation_rng_restriction(X1,X0),X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X1,X0] :
      ( relation(X0)
     => subset(relation_rng_restriction(X1,X0),X0) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X1,X0] :
      ( relation(X1)
     => subset(relation_rng_restriction(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_relat_1) ).

fof(f135,plain,
    ( ~ subset(relation_rng_restriction(sK3,sK2),sK2)
    | ~ relation(relation_rng_restriction(sK3,sK2)) ),
    inference(subsumption_resolution,[],[f133,f102]) ).

fof(f133,plain,
    ( ~ relation(relation_rng_restriction(sK3,sK2))
    | ~ subset(relation_rng_restriction(sK3,sK2),sK2)
    | ~ relation(sK2) ),
    inference(resolution,[],[f103,f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( subset(relation_rng(X0),relation_rng(X1))
      | ~ relation(X1)
      | ~ subset(X0,X1)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ relation(X0)
      | ! [X1] :
          ( ~ relation(X1)
          | ( subset(relation_dom(X0),relation_dom(X1))
            & subset(relation_rng(X0),relation_rng(X1)) )
          | ~ subset(X0,X1) ) ),
    inference(flattening,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( subset(relation_dom(X0),relation_dom(X1))
            & subset(relation_rng(X0),relation_rng(X1)) )
          | ~ subset(X0,X1)
          | ~ relation(X1) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1] :
          ( relation(X1)
         => ( subset(X0,X1)
           => ( subset(relation_dom(X0),relation_dom(X1))
              & subset(relation_rng(X0),relation_rng(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).

fof(f103,plain,
    ~ subset(relation_rng(relation_rng_restriction(sK3,sK2)),relation_rng(sK2)),
    inference(cnf_transformation,[],[f75]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % 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 : n027.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 15:04:16 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (13189)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)
% 0.20/0.52  % (13189)First to succeed.
% 0.20/0.52  % (13189)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (13189)------------------------------
% 0.20/0.52  % (13189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (13189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (13189)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (13189)Memory used [KB]: 1535
% 0.20/0.52  % (13189)Time elapsed: 0.091 s
% 0.20/0.52  % (13189)Instructions burned: 3 (million)
% 0.20/0.52  % (13189)------------------------------
% 0.20/0.52  % (13189)------------------------------
% 0.20/0.52  % (13183)Success in time 0.167 s
%------------------------------------------------------------------------------