%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_sat --cores 0 -t %d %s

% Computer : n021.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 18:05:40 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   36 (  16   ~;  14   |;   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   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(resolution,[],[f66,f36]) ).

fof(f36,plain,
    aSet0(xA),
    inference(cnf_transformation,[],[f12]) ).

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

fof(f66,plain,
    ~ aSet0(xA),
    inference(resolution,[],[f65,f35]) ).

fof(f35,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(f65,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(duplicate_literal_removal,[],[f64]) ).

fof(f64,plain,
    ! [X0] :
      ( aSubsetOf0(X0,X0)
      | ~ aSet0(X0)
      | ~ aSet0(X0)
      | ~ aSet0(X0)
      | aSubsetOf0(X0,X0)
      | ~ aSet0(X0) ),
    inference(resolution,[],[f30,f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( aElementOf0(sK0(X0,X1),X1)
      | aSubsetOf0(X1,X0)
      | ~ aSet0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) )
        <=> aSubsetOf0(X1,X0) ) ),
    inference(ennf_transformation,[],[f10]) ).

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

fof(f30,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(sK0(X0,X1),X0)
      | ~ aSet0(X1)
      | aSubsetOf0(X1,X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM532+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n021.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 07:04:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (12305)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (12305)First to succeed.
% 0.19/0.50  % (12324)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)
% 0.19/0.50  % (12305)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (12305)------------------------------
% 0.19/0.50  % (12305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (12305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (12305)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (12305)Memory used [KB]: 5373
% 0.19/0.50  % (12305)Time elapsed: 0.096 s
% 0.19/0.50  % (12305)Instructions burned: 2 (million)
% 0.19/0.50  % (12305)------------------------------
% 0.19/0.50  % (12305)------------------------------
% 0.19/0.50  % (12300)Success in time 0.15 s
%------------------------------------------------------------------------------