%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN064+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 : n013.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 19:36:45 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   0   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 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   :   22 (  12   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(subsumption_resolution,[],[f8,f7]) ).

fof(f7,plain,
    ! [X0,X1] : big_p(X1,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ big_p(sK0,sK1)
      & big_p(X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).

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

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

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

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

fof(f1,conjecture,
    ? [X0,X1] :
      ( big_p(X0,X1)
     => ! [X2,X3] : big_p(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel35) ).

fof(f8,plain,
    ~ big_p(sK0,sK1),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN064+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:23:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (14913)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.48  % (14904)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.48  % (14913)First to succeed.
% 0.19/0.48  % (14913)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (14913)------------------------------
% 0.19/0.48  % (14913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (14913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (14913)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (14913)Memory used [KB]: 5373
% 0.19/0.48  % (14913)Time elapsed: 0.090 s
% 0.19/0.48  % (14913)Instructions burned: 1 (million)
% 0.19/0.48  % (14913)------------------------------
% 0.19/0.48  % (14913)------------------------------
% 0.19/0.48  % (14903)Success in time 0.14 s
%------------------------------------------------------------------------------