%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN341+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 : n004.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 19:26:17 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   8   ~;   0   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   27 (  17   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X2,X0] : big_f(X0,sK0(X0),X2),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X2] :
      ( ~ big_f(sK0(X0),X2,sK1(X0,X2))
      & big_f(X0,sK0(X0),X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f3,f5,f4]) ).

fof(f4,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
        ? [X3] :
          ( ~ big_f(X1,X2,X3)
          & big_f(X0,X1,X2) )
     => ! [X2] :
        ? [X3] :
          ( ~ big_f(sK0(X0),X2,X3)
          & big_f(X0,sK0(X0),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ! [X0,X2] :
      ( ? [X3] :
          ( ~ big_f(sK0(X0),X2,X3)
          & big_f(X0,sK0(X0),X2) )
     => ( ~ big_f(sK0(X0),X2,sK1(X0,X2))
        & big_f(X0,sK0(X0),X2) ) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( big_f(X0,X1,X2)
     => big_f(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_6) ).

fof(f8,plain,
    ! [X2,X0] : ~ big_f(sK0(X0),X2,sK1(X0,X2)),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN341+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % 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 : n004.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 21:42:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (4191)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)
% 0.19/0.47  % (4191)First to succeed.
% 0.19/0.47  % (4191)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (4191)------------------------------
% 0.19/0.47  % (4191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (4191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (4191)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (4191)Memory used [KB]: 5884
% 0.19/0.47  % (4191)Time elapsed: 0.061 s
% 0.19/0.47  % (4191)Instructions burned: 2 (million)
% 0.19/0.47  % (4191)------------------------------
% 0.19/0.47  % (4191)------------------------------
% 0.19/0.47  % (4183)Success in time 0.12 s
%------------------------------------------------------------------------------