%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN382+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 : n025.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 19:26:27 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  12   ~;  11   |;   6   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   35 (  25   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(resolution,[],[f11,f9]) ).

fof(f9,plain,
    ! [X4] : ~ big_p(X4,sK1),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ! [X0] :
        ( ! [X2] : big_p(sK0(X0),X2)
        | big_q(sK0(X0),X0) )
    & ! [X4] :
        ( ~ big_p(X4,sK1)
        & ~ big_q(X4,sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f6,f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] : big_p(X1,X2)
          | big_q(X1,X0) )
     => ( ! [X2] : big_p(sK0(X0),X2)
        | big_q(sK0(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ? [X3] :
      ! [X4] :
        ( ~ big_p(X4,X3)
        & ~ big_q(X4,X3) )
   => ! [X4] :
        ( ~ big_p(X4,sK1)
        & ~ big_q(X4,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ! [X0] :
      ? [X1] :
        ( ! [X2] : big_p(X1,X2)
        | big_q(X1,X0) )
    & ? [X3] :
      ! [X4] :
        ( ~ big_p(X4,X3)
        & ~ big_q(X4,X3) ) ),
    inference(ennf_transformation,[],[f3]) ).

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

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

fof(f1,conjecture,
    ( ! [X0] :
      ? [X1] :
        ( ! [X2] : big_p(X1,X2)
        | big_q(X1,X0) )
   => ! [X2] :
      ? [X1] :
        ( big_p(X1,X2)
        | big_q(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2134) ).

fof(f11,plain,
    ! [X0] : big_p(sK0(sK1),X0),
    inference(resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X4] : ~ big_q(X4,sK1),
    inference(cnf_transformation,[],[f7]) ).

fof(f10,plain,
    ! [X2,X0] :
      ( big_q(sK0(X0),X0)
      | big_p(sK0(X0),X2) ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN382+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n025.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 21:59:15 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.20/0.48  % (3611)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49  % (3621)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49  % (3630)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.49  % (3611)First to succeed.
% 0.20/0.50  % (3611)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (3611)------------------------------
% 0.20/0.50  % (3611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (3611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (3611)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (3611)Memory used [KB]: 5884
% 0.20/0.50  % (3611)Time elapsed: 0.103 s
% 0.20/0.50  % (3611)Instructions burned: 1 (million)
% 0.20/0.50  % (3611)------------------------------
% 0.20/0.50  % (3611)------------------------------
% 0.20/0.50  % (3599)Success in time 0.154 s
%------------------------------------------------------------------------------