%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET602+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n012.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 18:25:03 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   24 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   21 (  12   ~;   5   |;   2   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (  13   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f47,plain,
    $false,
    inference(trivial_inequality_removal,[],[f46]) ).

fof(f46,plain,
    empty_set != empty_set,
    inference(superposition,[],[f41,f45]) ).

fof(f45,plain,
    ! [X0] : empty_set = difference(X0,X0),
    inference(resolution,[],[f32,f42]) ).

fof(f42,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : subset(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | empty_set = difference(X1,X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X1,X0)
        | empty_set != difference(X1,X0) )
      & ( empty_set = difference(X1,X0)
        | ~ subset(X1,X0) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,plain,
    ! [X1,X0] :
      ( ( subset(X0,X1)
        | difference(X0,X1) != empty_set )
      & ( difference(X0,X1) = empty_set
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> difference(X0,X1) = empty_set ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).

fof(f41,plain,
    empty_set != difference(sK1,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    empty_set != difference(sK1,sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f13,f27]) ).

fof(f27,plain,
    ( ? [X0] : empty_set != difference(X0,X0)
   => empty_set != difference(sK1,sK1) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ? [X0] : empty_set != difference(X0,X0),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0] : empty_set = difference(X0,X0),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0] : empty_set = difference(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_self_difference_is_empty_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET602+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n012.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 14:03:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.49  % (5681)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (5676)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.50  % (5681)First to succeed.
% 0.19/0.50  % (5681)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  % (5681)------------------------------
% 0.19/0.51  % (5681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (5681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (5681)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (5681)Memory used [KB]: 895
% 0.19/0.51  % (5681)Time elapsed: 0.095 s
% 0.19/0.51  % (5681)Instructions burned: 1 (million)
% 0.19/0.51  % (5681)------------------------------
% 0.19/0.51  % (5681)------------------------------
% 0.19/0.51  % (5671)Success in time 0.161 s
%------------------------------------------------------------------------------