TSTP Solution File: SYN383+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN383+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 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   34 (  12   ~;   2   |;  17   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   13 (   8   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(resolution,[],[f8,f7]) ).

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

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

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

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

fof(f3,plain,
    ! [X0] :
    ? [X1] :
      ( ~ big_q(X0)
      & ~ big_p(X1)
      & big_q(X1)
      & big_p(X0) ),
    inference(ennf_transformation,[],[f2]) ).

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

fof(f1,conjecture,
    ? [X0] :
    ! [X1] :
      ( ( big_q(X1)
        & big_p(X0) )
     => ( big_q(X0)
        | big_p(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2135) ).

fof(f8,plain,
    ! [X0] : big_q(sK0(X0)),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN383+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
% 0.12/0.33  % Computer : n008.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 21:53:40 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.48  % (18321)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.48  % (18321)First to succeed.
% 0.19/0.49  % (18300)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.49  % (18321)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (18321)------------------------------
% 0.19/0.49  % (18321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (18321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (18321)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (18321)Memory used [KB]: 5373
% 0.19/0.49  % (18321)Time elapsed: 0.097 s
% 0.19/0.49  % (18321)Instructions burned: 1 (million)
% 0.19/0.49  % (18321)------------------------------
% 0.19/0.49  % (18321)------------------------------
% 0.19/0.49  % (18299)Success in time 0.148 s
%------------------------------------------------------------------------------