TSTP Solution File: SET061-6 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET061-6 : 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 : n011.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 : Sun May  5 09:10:49 EDT 2024

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   31 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f345,plain,
    $false,
    inference(subsumption_resolution,[],[f344,f92]) ).

fof(f92,axiom,
    member(z,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_existence_of_null_class_1) ).

fof(f344,plain,
    ~ member(z,null_class),
    inference(subsumption_resolution,[],[f333,f93]) ).

fof(f93,plain,
    ! [X1] : subclass(X1,X1),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_implies_subclass1) ).

fof(f333,plain,
    ( ~ subclass(null_class,null_class)
    | ~ member(z,null_class) ),
    inference(superposition,[],[f148,f321]) ).

fof(f321,plain,
    null_class = complement(null_class),
    inference(resolution,[],[f291,f92]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ member(z,X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f282,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

fof(f282,plain,
    ! [X0] :
      ( member(z,X0)
      | null_class = X0 ),
    inference(subsumption_resolution,[],[f278,f93]) ).

fof(f278,plain,
    ! [X0] :
      ( ~ subclass(null_class,null_class)
      | member(z,X0)
      | null_class = X0 ),
    inference(superposition,[],[f150,f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = intersection(X0,regular(X0))
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ~ subclass(null_class,intersection(X0,X1))
      | member(z,X0) ),
    inference(resolution,[],[f147,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f147,plain,
    ! [X0] :
      ( member(z,X0)
      | ~ subclass(null_class,X0) ),
    inference(resolution,[],[f1,f92]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | ~ subclass(X0,X1)
      | member(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).

fof(f148,plain,
    ! [X0] :
      ( ~ subclass(null_class,complement(X0))
      | ~ member(z,X0) ),
    inference(resolution,[],[f147,f24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET061-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 16:58:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (10691)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (10694)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38  % (10696)WARNING: value z3 for option sas not known
% 0.20/0.38  % (10695)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38  % (10697)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38  % (10696)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38  % (10698)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38  % (10701)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38  % (10699)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)
% 0.20/0.39  TRYING [1]
% 0.20/0.39  TRYING [2]
% 0.20/0.39  % (10696)First to succeed.
% 0.20/0.39  % (10696)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10691"
% 0.20/0.39  % (10696)Refutation found. Thanks to Tanya!
% 0.20/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40  % (10696)------------------------------
% 0.20/0.40  % (10696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40  % (10696)Termination reason: Refutation
% 0.20/0.40  
% 0.20/0.40  % (10696)Memory used [KB]: 1039
% 0.20/0.40  % (10696)Time elapsed: 0.016 s
% 0.20/0.40  % (10696)Instructions burned: 20 (million)
% 0.20/0.40  % (10691)Success in time 0.028 s
%------------------------------------------------------------------------------