%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET913+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n003.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 18:22:43 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   2   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f25]) ).

fof(f25,plain,
    disjoint(singleton(sK2),sK3),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( in(sK2,sK3)
    & disjoint(singleton(sK2),sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f8,f18]) ).

fof(f18,plain,
    ( ? [X0,X1] :
        ( in(X0,X1)
        & disjoint(singleton(X0),X1) )
   => ( in(sK2,sK3)
      & disjoint(singleton(sK2),sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ? [X0,X1] :
      ( in(X0,X1)
      & disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X1,X0] :
        ~ ( in(X0,X1)
          & disjoint(singleton(X0),X1) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X1,X0] :
      ~ ( in(X0,X1)
        & disjoint(singleton(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_zfmisc_1) ).

fof(f29,plain,
    ~ disjoint(singleton(sK2),sK3),
    inference(unit_resulting_resolution,[],[f26,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ disjoint(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ disjoint(singleton(X0),X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X1,X0] :
      ~ ( disjoint(singleton(X0),X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).

fof(f26,plain,
    in(sK2,sK3),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET913+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.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 18:36:37 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (17463)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.46  % (17471)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (17463)First to succeed.
% 0.19/0.47  % (17463)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (17463)------------------------------
% 0.19/0.47  % (17463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (17463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (17463)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (17463)Memory used [KB]: 5884
% 0.19/0.47  % (17463)Time elapsed: 0.061 s
% 0.19/0.47  % (17463)Instructions burned: 1 (million)
% 0.19/0.47  % (17463)------------------------------
% 0.19/0.47  % (17463)------------------------------
% 0.19/0.47  % (17455)Success in time 0.123 s
%------------------------------------------------------------------------------