%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN972+1 : TPTP v8.1.0. Released v3.1.0.
% 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 19:36:14 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   7   ~;   0   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   26 (  16   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(unit_resulting_resolution,[],[f8,f9]) ).

fof(f9,plain,
    ! [X1] : p(sK0,X1),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ! [X1] : p(sK0,X1)
    & ! [X3] : ~ p(X3,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f6,f5]) ).

fof(f5,plain,
    ( ? [X0] :
      ! [X1] : p(X0,X1)
   => ! [X1] : p(sK0,X1) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ? [X2] :
      ! [X3] : ~ p(X3,X2)
   => ! [X3] : ~ p(X3,sK1) ),
    introduced(choice_axiom,[]) ).

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

fof(f3,plain,
    ~ ( ? [X0] :
        ! [X1] : p(X0,X1)
     => ! [X2] :
        ? [X3] : p(X3,X2) ),
    inference(rectify,[],[f2]) ).

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

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

fof(f8,plain,
    ! [X3] : ~ p(X3,sK1),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN972+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n002.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 22:45:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (2200)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)
% 0.19/0.50  % (2217)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.51  % (2188)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51  % (2209)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)
% 0.19/0.51  % (2200)First to succeed.
% 0.19/0.51  % (2200)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  % (2200)------------------------------
% 0.19/0.51  % (2200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (2200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (2200)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (2200)Memory used [KB]: 5884
% 0.19/0.51  % (2200)Time elapsed: 0.103 s
% 0.19/0.51  % (2200)Instructions burned: 1 (million)
% 0.19/0.51  % (2200)------------------------------
% 0.19/0.51  % (2200)------------------------------
% 0.19/0.51  % (2186)Success in time 0.159 s
%------------------------------------------------------------------------------