TSTP Solution File: SET152-6 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET152-6 : 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 : n002.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 15:06:20 EDT 2024

% Result   : Unsatisfiable 0.17s 0.37s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   21 (   8 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (   9   ~;  10   |;   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    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f608,plain,
    $false,
    inference(subsumption_resolution,[],[f603,f113]) ).

fof(f113,axiom,
    null_class != complement(universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complement_of_universal_class_1) ).

fof(f603,plain,
    null_class = complement(universal_class),
    inference(resolution,[],[f600,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f600,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class ),
    inference(duplicate_literal_removal,[],[f587]) ).

fof(f587,plain,
    ! [X0] :
      ( ~ subclass(complement(X0),X0)
      | complement(X0) = null_class
      | complement(X0) = null_class ),
    inference(resolution,[],[f159,f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ member(regular(complement(X0)),X0)
      | complement(X0) = null_class ),
    inference(resolution,[],[f66,f24]) ).

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

fof(f66,axiom,
    ! [X0] :
      ( member(regular(X0),X0)
      | null_class = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).

fof(f159,plain,
    ! [X0,X1] :
      ( member(regular(X0),X1)
      | ~ subclass(X0,X1)
      | null_class = X0 ),
    inference(resolution,[],[f1,f66]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SET152-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n002.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 01:57:54 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (4131)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (4134)WARNING: value z3 for option sas not known
% 0.11/0.35  % (4134)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)
% 0.11/0.35  % (4136)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)
% 0.11/0.35  % (4135)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35  % (4138)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)
% 0.11/0.35  % (4132)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35  % (4133)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35  % (4137)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)
% 0.17/0.37  % (4134)First to succeed.
% 0.17/0.37  % (4134)Refutation found. Thanks to Tanya!
% 0.17/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.37  % (4134)------------------------------
% 0.17/0.37  % (4134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.37  % (4134)Termination reason: Refutation
% 0.17/0.37  
% 0.17/0.37  % (4134)Memory used [KB]: 1231
% 0.17/0.37  % (4134)Time elapsed: 0.022 s
% 0.17/0.37  % (4134)Instructions burned: 35 (million)
% 0.17/0.37  % (4134)------------------------------
% 0.17/0.37  % (4134)------------------------------
% 0.17/0.37  % (4131)Success in time 0.041 s
%------------------------------------------------------------------------------