%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN372+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 : n006.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 19:37:43 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   46 (  17   ~;   8   |;  10   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   24 (  10   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f11]) ).

fof(f11,plain,
    ! [X1] : big_p(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X1] :
        ( big_p(X1)
        & ~ big_q(X1) )
    & ( ~ big_p(sK1)
      | big_q(sK0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0] :
        ( ! [X1] :
            ( big_p(X1)
            & ~ big_q(X1) )
        & ? [X2] :
            ( ~ big_p(X2)
            | big_q(X0) ) )
   => ( ! [X1] :
          ( big_p(X1)
          & ~ big_q(X1) )
      & ? [X2] :
          ( ~ big_p(X2)
          | big_q(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2] :
        ( ~ big_p(X2)
        | big_q(sK0) )
   => ( ~ big_p(sK1)
      | big_q(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ? [X0] :
      ( ! [X1] :
          ( big_p(X1)
          & ~ big_q(X1) )
      & ? [X2] :
          ( ~ big_p(X2)
          | big_q(X0) ) ),
    inference(rectify,[],[f4]) ).

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

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

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

fof(f1,conjecture,
    ! [X0] :
      ( ? [X1] :
          ( big_p(X1)
         => big_q(X0) )
     => ? [X1] :
          ( big_p(X1)
         => big_q(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2123) ).

fof(f12,plain,
    ~ big_p(sK1),
    inference(subsumption_resolution,[],[f9,f10]) ).

fof(f10,plain,
    ! [X1] : ~ big_q(X1),
    inference(cnf_transformation,[],[f8]) ).

fof(f9,plain,
    ( big_q(sK0)
    | ~ big_p(sK1) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYN372+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n006.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 21:47:54 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (18604)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)
% 0.18/0.48  % (18596)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)
% 0.18/0.49  % (18600)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.49  % (18604)First to succeed.
% 0.18/0.49  % (18599)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.18/0.49  % (18583)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.18/0.49  % (18604)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (18604)------------------------------
% 0.18/0.49  % (18604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (18604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (18604)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (18604)Memory used [KB]: 895
% 0.18/0.49  % (18604)Time elapsed: 0.046 s
% 0.18/0.49  % (18604)Instructions burned: 2 (million)
% 0.18/0.49  % (18604)------------------------------
% 0.18/0.49  % (18604)------------------------------
% 0.18/0.49  % (18581)Success in time 0.149 s
%------------------------------------------------------------------------------