TSTP Solution File: NUM532+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n026.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 18:00:24 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   24 (  10   ~;   8   |;   2   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f55,plain,
    $false,
    inference(unit_resulting_resolution,[],[f39,f39,f36,f43,f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(sK1(X0,X1),X0)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) )
        <=> aSubsetOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(f43,plain,
    aElementOf0(sK1(xA,xA),xA),
    inference(unit_resulting_resolution,[],[f39,f39,f36,f33]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( aSubsetOf0(X1,X0)
      | aElementOf0(sK1(X0,X1),X1)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f36,plain,
    ~ aSubsetOf0(xA,xA),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ~ aSubsetOf0(xA,xA),
    inference(flattening,[],[f14]) ).

fof(f14,negated_conjecture,
    ~ aSubsetOf0(xA,xA),
    inference(negated_conjecture,[],[f13]) ).

fof(f13,conjecture,
    aSubsetOf0(xA,xA),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f39,plain,
    aSet0(xA),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    aSet0(xA),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__467) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 07:12:06 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  % (2560)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.51  % (2562)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51  % (2562)First to succeed.
% 0.21/0.51  % (2576)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.51  % (2562)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (2562)------------------------------
% 0.21/0.51  % (2562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (2562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (2562)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (2562)Memory used [KB]: 5884
% 0.21/0.51  % (2562)Time elapsed: 0.090 s
% 0.21/0.51  % (2562)Instructions burned: 2 (million)
% 0.21/0.51  % (2562)------------------------------
% 0.21/0.51  % (2562)------------------------------
% 0.21/0.51  % (2553)Success in time 0.146 s
%------------------------------------------------------------------------------