%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET060-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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  : 600s
% DateTime : Tue Jul 19 03:31:57 EDT 2022

% Result   : Unsatisfiable 17.59s 17.77s
% Output   : CNFRefutation 17.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (   5 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(intersection1,axiom,
    ( ~ member(Z,intersection(X,Y))
    | member(Z,X) ) ).

cnf(intersection2,axiom,
    ( ~ member(Z,intersection(X,Y))
    | member(Z,Y) ) ).

cnf(complement1,axiom,
    ( ~ member(Z,complement(X))
    | ~ member(Z,X) ) ).

cnf(prove_special_classes_lemma_1,negated_conjecture,
    member(y,intersection(complement(x),x)) ).

cnf(refute_0_0,plain,
    ( ~ member(y,intersection(complement(x),x))
    | member(y,x) ),
    inference(subst,[],[intersection2:[bind(X,$fot(complement(x))),bind(Y,$fot(x)),bind(Z,$fot(y))]]) ).

cnf(refute_0_1,plain,
    member(y,x),
    inference(resolve,[$cnf( member(y,intersection(complement(x),x)) )],[prove_special_classes_lemma_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ member(y,complement(x))
    | ~ member(y,x) ),
    inference(subst,[],[complement1:[bind(X,$fot(x)),bind(Z,$fot(y))]]) ).

cnf(refute_0_3,plain,
    ( ~ member(y,intersection(complement(x),x))
    | member(y,complement(x)) ),
    inference(subst,[],[intersection1:[bind(X,$fot(complement(x))),bind(Y,$fot(x)),bind(Z,$fot(y))]]) ).

cnf(refute_0_4,plain,
    member(y,complement(x)),
    inference(resolve,[$cnf( member(y,intersection(complement(x),x)) )],[prove_special_classes_lemma_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ~ member(y,x),
    inference(resolve,[$cnf( member(y,complement(x)) )],[refute_0_4,refute_0_2]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( member(y,x) )],[refute_0_1,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET060-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 03:09:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 17.59/17.77  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.59/17.77  
% 17.59/17.77  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 17.59/17.77  
%------------------------------------------------------------------------------