%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 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 : 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 19:28:15 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   35 (  13   ~;   5   |;   9   &)
%                                         (   0 <=>;   8  =>;   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;   0 con; 1-1 aty)
%            Number of variables   :   35 (  23   !;  12   ?)

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

fof(f9,plain,
    ! [X2,X0] : ~ p(X0,X2),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ! [X0] :
        ( p(sK0(X0),X0)
        & ! [X2] :
            ( ~ q(X2,X0)
            & ~ p(X0,X2) ) )
    & ! [X3] :
        ( ! [X4] : q(X4,X3)
        | ~ p(sK1(X3),X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f6,f5]) ).

fof(f5,plain,
    ! [X0] :
      ( ? [X1] : p(X1,X0)
     => p(sK0(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ! [X3] :
      ( ? [X5] : ~ p(X5,X3)
     => ~ p(sK1(X3),X3) ),
    introduced(choice_axiom,[]) ).

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

fof(f3,plain,
    ( ! [X3] :
        ( ? [X4] : p(X4,X3)
        & ! [X5] :
            ( ~ q(X5,X3)
            & ~ p(X3,X5) ) )
    & ! [X0] :
        ( ! [X2] : q(X2,X0)
        | ? [X1] : ~ p(X1,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( ! [X1] : p(X1,X0)
         => ! [X2] : q(X2,X0) )
     => ? [X3] :
          ( ? [X4] : p(X4,X3)
         => ? [X5] :
              ( p(X3,X5)
              | q(X5,X3) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ! [X0] :
        ( ! [X1] : p(X1,X0)
       => ! [X2] : q(X2,X0) )
   => ? [X3] :
        ( ? [X4] : p(X4,X3)
       => ? [X5] :
            ( p(X3,X5)
            | q(X5,X3) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x3411) ).

fof(f11,plain,
    ! [X0] : p(sK0(X0),X0),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SYN732+1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:17:54 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.48  % (1067)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.49  % (1062)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.50  % (1086)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.50  % (1062)First to succeed.
% 0.21/0.51  % (1088)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)
% 0.21/0.51  % (1062)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (1062)------------------------------
% 0.21/0.51  % (1062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (1062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (1062)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (1062)Memory used [KB]: 5884
% 0.21/0.51  % (1062)Time elapsed: 0.095 s
% 0.21/0.51  % (1062)Instructions burned: 1 (million)
% 0.21/0.51  % (1062)------------------------------
% 0.21/0.51  % (1062)------------------------------
% 0.21/0.51  % (1059)Success in time 0.156 s
%------------------------------------------------------------------------------