%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN371+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n002.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 19:26:25 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  13   ~;   5   |;   8   &)
%                                         (   1 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   25 (  18   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,plain,
    $false,
    inference(avatar_sat_refutation,[],[f17,f21]) ).

fof(f21,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f20]) ).

fof(f20,plain,
    ( $false
    | ~ spl1_1 ),
    inference(resolution,[],[f7,f12]) ).

fof(f12,plain,
    ( ! [X0] : big_r(X0,X0)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f11]) ).

fof(f11,plain,
    ( spl1_1
  <=> ! [X0] : big_r(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f7,plain,
    ! [X2] : ~ big_r(sK0(X2),sK0(X2)),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X0] : big_r(X0,X0)
      | ! [X1] : ~ big_r(X1,X1) )
    & ! [X2] :
        ( big_r(X2,X2)
        & ~ big_r(sK0(X2),sK0(X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ! [X2] :
      ( ? [X3] :
          ( big_r(X2,X2)
          & ~ big_r(X3,X3) )
     => ( big_r(X2,X2)
        & ~ big_r(sK0(X2),sK0(X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ( ! [X0] : big_r(X0,X0)
      | ! [X1] : ~ big_r(X1,X1) )
    & ! [X2] :
      ? [X3] :
        ( big_r(X2,X2)
        & ~ big_r(X3,X3) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ( ( ! [X1] : big_r(X1,X1)
      | ! [X0] : ~ big_r(X0,X0) )
    & ! [X2] :
      ? [X3] :
        ( big_r(X2,X2)
        & ~ big_r(X3,X3) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ? [X0] : big_r(X0,X0)
       => ! [X1] : big_r(X1,X1) )
     => ? [X2] :
        ! [X3] :
          ( big_r(X2,X2)
         => big_r(X3,X3) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ? [X0] : big_r(X0,X0)
     => ! [X1] : big_r(X1,X1) )
   => ? [X2] :
      ! [X3] :
        ( big_r(X2,X2)
       => big_r(X3,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2122) ).

fof(f17,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f8,f11]) ).

fof(f8,plain,
    ! [X2] : big_r(X2,X2),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN371+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n002.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:01:29 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (3826)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50  % (3818)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (3826)First to succeed.
% 0.19/0.50  % (3818)Also succeeded, but the first one will report.
% 0.19/0.51  % (3826)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (3826)------------------------------
% 0.19/0.51  % (3826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (3826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (3826)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (3826)Memory used [KB]: 5884
% 0.19/0.51  % (3826)Time elapsed: 0.059 s
% 0.19/0.51  % (3826)Instructions burned: 2 (million)
% 0.19/0.51  % (3826)------------------------------
% 0.19/0.51  % (3826)------------------------------
% 0.19/0.51  % (3800)Success in time 0.16 s
%------------------------------------------------------------------------------