%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN323+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_sat --cores 0 -t %d %s

% Computer : n024.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 19:37:30 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   41 (  17   ~;   6   |;   3   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   26 (  23   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f10]) ).

fof(f10,plain,
    ! [X0,X1] : big_g(X1,X0),
    inference(subsumption_resolution,[],[f7,f9]) ).

fof(f9,plain,
    ! [X0,X1] : ~ big_f(X0,X1),
    inference(subsumption_resolution,[],[f8,f5]) ).

fof(f5,plain,
    ! [X2,X0] :
      ( ~ big_f(X0,X2)
      | ~ big_g(X2,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ! [X1] :
          ( big_g(X1,X0)
          | ( ~ big_f(X0,X1)
            & big_f(X1,X0) ) )
      & ! [X2] :
          ( ( big_f(X2,X0)
            & ~ big_f(X0,X2) )
          | ~ big_g(X2,X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ? [X0] :
        ( ! [X1] :
            ( ( big_f(X1,X0)
             => big_f(X0,X1) )
           => big_g(X1,X0) )
       => ~ ! [X2] :
              ( ( big_f(X2,X0)
               => big_f(X0,X2) )
             => ~ big_g(X2,X0) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0] :
        ( ! [X1] :
            ( ( big_f(X1,X0)
             => big_f(X0,X1) )
           => big_g(X1,X0) )
       => ~ ! [X1] :
              ( ( big_f(X1,X0)
               => big_f(X0,X1) )
             => ~ big_g(X1,X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0] :
      ( ! [X1] :
          ( ( big_f(X1,X0)
           => big_f(X0,X1) )
         => big_g(X1,X0) )
     => ~ ! [X1] :
            ( ( big_f(X1,X0)
             => big_f(X0,X1) )
           => ~ big_g(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_4_2) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ~ big_f(X0,X1)
      | big_g(X1,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( big_f(X1,X0)
      | big_g(X1,X0) ),
    inference(cnf_transformation,[],[f4]) ).

fof(f11,plain,
    ! [X2,X0] : ~ big_g(X2,X0),
    inference(subsumption_resolution,[],[f6,f9]) ).

fof(f6,plain,
    ! [X2,X0] :
      ( big_f(X2,X0)
      | ~ big_g(X2,X0) ),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN323+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:48:34 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.20/0.48  % (25872)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.20/0.49  % (25880)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.20/0.49  % (25872)First to succeed.
% 0.20/0.50  % (25866)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50  % (25872)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (25872)------------------------------
% 0.20/0.50  % (25872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (25872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (25872)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (25872)Memory used [KB]: 895
% 0.20/0.50  % (25872)Time elapsed: 0.005 s
% 0.20/0.50  % (25872)Instructions burned: 1 (million)
% 0.20/0.50  % (25872)------------------------------
% 0.20/0.50  % (25872)------------------------------
% 0.20/0.50  % (25856)Success in time 0.135 s
%------------------------------------------------------------------------------