%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN379+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 : n008.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 19:37:44 EDT 2022

% Result   : Theorem 0.19s 0.44s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   26 (  14   ~;   0   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   32 (  28   !;   4   ?)

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

fof(f7,plain,
    ! [X2,X3,X0] : big_q(X2,X0,X3),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0] :
      ( ! [X1] : ~ big_q(X0,X0,X1)
      & ! [X2,X3] : big_q(X2,X0,X3) ),
    inference(rectify,[],[f5]) ).

fof(f5,plain,
    ! [X1] :
      ( ! [X4] : ~ big_q(X1,X1,X4)
      & ! [X3,X2] : big_q(X3,X1,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ~ ? [X1] :
        ( ! [X3,X2] : big_q(X3,X1,X2)
       => ~ ! [X4] : ~ big_q(X1,X1,X4) ),
    inference(pure_predicate_removal,[],[f3]) ).

fof(f3,plain,
    ~ ( ! [X0] : big_p(X0)
     => ? [X1] :
          ( ! [X3,X2] : big_q(X3,X1,X2)
         => ~ ! [X4] :
                ( ~ big_q(X1,X1,X4)
                & big_p(X4) ) ) ),
    inference(rectify,[],[f2]) ).

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

fof(f1,conjecture,
    ( ! [X0] : big_p(X0)
   => ? [X1] :
        ( ! [X2,X0] : big_q(X0,X1,X2)
       => ~ ! [X2] :
              ( big_p(X2)
              & ~ big_q(X1,X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2131) ).

fof(f8,plain,
    ! [X0,X1] : ~ big_q(X0,X0,X1),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:53:25 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.43  % (17682)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.44  % (17682)First to succeed.
% 0.19/0.44  % (17674)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.19/0.44  % (17682)Refutation found. Thanks to Tanya!
% 0.19/0.44  % SZS status Theorem for theBenchmark
% 0.19/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.44  % (17682)------------------------------
% 0.19/0.44  % (17682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44  % (17682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44  % (17682)Termination reason: Refutation
% 0.19/0.44  
% 0.19/0.44  % (17682)Memory used [KB]: 895
% 0.19/0.44  % (17682)Time elapsed: 0.039 s
% 0.19/0.44  % (17682)Instructions burned: 1 (million)
% 0.19/0.44  % (17682)------------------------------
% 0.19/0.44  % (17682)------------------------------
% 0.19/0.44  % (17659)Success in time 0.105 s
%------------------------------------------------------------------------------