TSTP Solution File: SET054+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 18:23:23 EDT 2022

% Result   : Theorem 1.51s 0.58s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   32 (   8 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   35 (  16   ~;  10   |;   7   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f284,plain,
    $false,
    inference(resolution,[],[f282,f219]) ).

fof(f219,plain,
    ~ subclass(sK6,sK6),
    inference(cnf_transformation,[],[f138]) ).

fof(f138,plain,
    ~ subclass(sK6,sK6),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f82,f137]) ).

fof(f137,plain,
    ( ? [X0] : ~ subclass(X0,X0)
   => ~ subclass(sK6,sK6) ),
    introduced(choice_axiom,[]) ).

fof(f82,plain,
    ? [X0] : ~ subclass(X0,X0),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0] : subclass(X0,X0),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0] : subclass(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subclass) ).

fof(f282,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f142]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ( ( subclass(X0,X1)
          & subclass(X1,X0) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subclass(X0,X1)
        | ~ subclass(X1,X0) ) ),
    inference(rectify,[],[f141]) ).

fof(f141,plain,
    ! [X1,X0] :
      ( ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) ) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ! [X1,X0] :
      ( ( ( subclass(X1,X0)
          & subclass(X0,X1) )
        | X0 != X1 )
      & ( X0 = X1
        | ~ subclass(X1,X0)
        | ~ subclass(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( ( subclass(X1,X0)
        & subclass(X0,X1) )
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.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 13:07:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.55  % (26850)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (26867)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56  % (26859)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56  % (26866)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.56  % (26858)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.57  % (26851)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (26866)First to succeed.
% 1.51/0.58  % (26858)Also succeeded, but the first one will report.
% 1.51/0.58  % (26866)Refutation found. Thanks to Tanya!
% 1.51/0.58  % SZS status Theorem for theBenchmark
% 1.51/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.58  % (26866)------------------------------
% 1.51/0.58  % (26866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58  % (26866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58  % (26866)Termination reason: Refutation
% 1.51/0.58  
% 1.51/0.58  % (26866)Memory used [KB]: 1023
% 1.51/0.58  % (26866)Time elapsed: 0.145 s
% 1.51/0.58  % (26866)Instructions burned: 5 (million)
% 1.51/0.58  % (26866)------------------------------
% 1.51/0.58  % (26866)------------------------------
% 1.51/0.58  % (26843)Success in time 0.232 s
%------------------------------------------------------------------------------