TSTP Solution File: SET063-7 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 15:05:23 EDT 2024

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   11 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f189,plain,
    $false,
    inference(trivial_inequality_removal,[],[f188]) ).

fof(f188,plain,
    null_class != null_class,
    inference(superposition,[],[f106,f185]) ).

fof(f185,plain,
    null_class = x,
    inference(resolution,[],[f167,f104]) ).

fof(f104,axiom,
    ! [X0] : subclass(null_class,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).

fof(f167,plain,
    ( ~ subclass(null_class,x)
    | null_class = x ),
    inference(resolution,[],[f7,f105]) ).

fof(f105,axiom,
    subclass(x,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f106,axiom,
    null_class != x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n029.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 01:48:35 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.35  % (21050)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36  % (21056)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (21056)First to succeed.
% 0.14/0.37  % (21053)WARNING: value z3 for option sas not known
% 0.14/0.37  % (21056)Refutation found. Thanks to Tanya!
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37  % (21056)------------------------------
% 0.14/0.37  % (21056)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37  % (21056)Termination reason: Refutation
% 0.14/0.37  
% 0.14/0.37  % (21056)Memory used [KB]: 947
% 0.14/0.37  % (21056)Time elapsed: 0.005 s
% 0.14/0.37  % (21056)Instructions burned: 11 (million)
% 0.14/0.37  % (21056)------------------------------
% 0.14/0.37  % (21056)------------------------------
% 0.14/0.37  % (21050)Success in time 0.018 s
%------------------------------------------------------------------------------