TSTP Solution File: SYN727+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN727+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_sat --cores 0 -t %d %s

% Computer : n014.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 19:39:23 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  13   ~;   5   |;  10   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   35 (  27   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(unit_resulting_resolution,[],[f8,f9,f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ likes(X0,X1)
      | likes(lyle,X0) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ! [X0] :
        ( ! [X1] : ~ likes(X0,X1)
        | likes(lyle,X0) )
    & ! [X2] : ~ likes(X2,sK0(X2))
    & ! [X4] : likes(X4,bruce) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

fof(f6,plain,
    ! [X2] :
      ( ? [X3] : ~ likes(X2,X3)
     => ~ likes(X2,sK0(X2)) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ! [X0] :
        ( ! [X1] : ~ likes(X0,X1)
        | likes(lyle,X0) )
    & ! [X2] :
      ? [X3] : ~ likes(X2,X3)
    & ! [X4] : likes(X4,bruce) ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ( ! [X1] :
        ( ! [X2] : ~ likes(X1,X2)
        | likes(lyle,X1) )
    & ! [X3] :
      ? [X4] : ~ likes(X3,X4)
    & ! [X0] : likes(X0,bruce) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ( ! [X3] :
      ? [X4] : ~ likes(X3,X4)
    & ! [X1] :
        ( ! [X2] : ~ likes(X1,X2)
        | likes(lyle,X1) )
    & ! [X0] : likes(X0,bruce) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ! [X1] :
            ( ? [X2] : likes(X1,X2)
           => likes(lyle,X1) )
        & ! [X0] : likes(X0,bruce) )
     => ? [X3] :
        ! [X4] : likes(X3,X4) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ! [X1] :
          ( ? [X2] : likes(X1,X2)
         => likes(lyle,X1) )
      & ! [X0] : likes(X0,bruce) )
   => ? [X3] :
      ! [X4] : likes(X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm68) ).

fof(f9,plain,
    ! [X2] : ~ likes(X2,sK0(X2)),
    inference(cnf_transformation,[],[f7]) ).

fof(f8,plain,
    ! [X4] : likes(X4,bruce),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYN727+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % 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 : n014.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 22:19:18 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (21172)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)
% 0.19/0.50  % (21180)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (21172)First to succeed.
% 0.19/0.51  % (21172)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (21172)------------------------------
% 0.19/0.51  % (21172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (21172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (21172)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (21172)Memory used [KB]: 5373
% 0.19/0.51  % (21172)Time elapsed: 0.109 s
% 0.19/0.51  % (21172)Instructions burned: 1 (million)
% 0.19/0.51  % (21172)------------------------------
% 0.19/0.51  % (21172)------------------------------
% 0.19/0.51  % (21170)Success in time 0.162 s
%------------------------------------------------------------------------------