%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN944+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 : n029.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 19:36:10 EDT 2022

% Result   : Theorem 0.23s 0.52s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   57 (  14   ~;   9   |;  25   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   45 (  33   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(unit_resulting_resolution,[],[f13,f17,f7]) ).

fof(f7,plain,
    ! [X6,X7] :
      ( ~ q(X7,X6)
      | ~ p(X7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ? [X2,X1,X0] :
      ( s(X2)
      & ! [X3] :
          ( ~ s(X3)
          | p(X3) )
      & ! [X6,X7] :
          ( ~ q(X7,X6)
          | ~ p(X7) )
      & ! [X4,X5] :
          ( q(X4,X5)
          | ~ r(X4,X5) )
      & r(X2,X1)
      & s(X0) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ? [X2,X0,X1] :
      ( ! [X6,X7] :
          ( ~ q(X7,X6)
          | ~ p(X7) )
      & s(X0)
      & ! [X4,X5] :
          ( q(X4,X5)
          | ~ r(X4,X5) )
      & ! [X3] :
          ( ~ s(X3)
          | p(X3) )
      & s(X2)
      & r(X2,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ! [X2,X0,X1] :
        ( ( s(X0)
          & ! [X5,X4] :
              ( r(X4,X5)
             => q(X4,X5) )
          & ! [X3] :
              ( s(X3)
             => p(X3) )
          & s(X2)
          & r(X2,X1) )
       => ? [X6,X7] :
            ( p(X7)
            & q(X7,X6) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0,X2,X1] :
        ( ( s(X0)
          & ! [X3] :
              ( s(X3)
             => p(X3) )
          & ! [X3,X4] :
              ( r(X3,X4)
             => q(X3,X4) )
          & r(X1,X2)
          & s(X1) )
       => ? [X4,X3] :
            ( p(X3)
            & q(X3,X4) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0,X2,X1] :
      ( ( s(X0)
        & ! [X3] :
            ( s(X3)
           => p(X3) )
        & ! [X3,X4] :
            ( r(X3,X4)
           => q(X3,X4) )
        & r(X1,X2)
        & s(X1) )
     => ? [X4,X3] :
          ( p(X3)
          & q(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f17,plain,
    q(sK0,sK1),
    inference(unit_resulting_resolution,[],[f10,f8]) ).

fof(f8,plain,
    ! [X4,X5] :
      ( ~ r(X4,X5)
      | q(X4,X5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    r(sK0,sK1),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    p(sK0),
    inference(unit_resulting_resolution,[],[f11,f6]) ).

fof(f6,plain,
    ! [X3] :
      ( ~ s(X3)
      | p(X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    s(sK0),
    inference(cnf_transformation,[],[f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem    : SYN944+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Aug 30 22:41:27 EDT 2022
% 0.16/0.37  % CPUTime    : 
% 0.23/0.51  % (3918)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.23/0.51  % (3910)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.23/0.51  % (3910)First to succeed.
% 0.23/0.52  % (3910)Refutation found. Thanks to Tanya!
% 0.23/0.52  % SZS status Theorem for theBenchmark
% 0.23/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.52  % (3910)------------------------------
% 0.23/0.52  % (3910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52  % (3910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52  % (3910)Termination reason: Refutation
% 0.23/0.52  
% 0.23/0.52  % (3910)Memory used [KB]: 5884
% 0.23/0.52  % (3910)Time elapsed: 0.070 s
% 0.23/0.52  % (3910)------------------------------
% 0.23/0.52  % (3910)------------------------------
% 0.23/0.52  % (3901)Success in time 0.138 s
%------------------------------------------------------------------------------