%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SCT052-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 : Mon Jul 18 21:53:55 EDT 2022

% Result   : Unsatisfiable 0.91s 1.10s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (  18 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
    v_b____ != v_c____ ).

cnf(cls_conjecture_5,negated_conjecture,
    v_b____ = v_c____ ).

cnf(refute_0_0,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_1,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_2,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( v_b____ != v_c____
    | v_c____ = v_b____ ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(v_b____)),bind(Y,$fot(v_c____))]]) ).

cnf(refute_0_4,plain,
    v_c____ = v_b____,
    inference(resolve,[$cnf( $equal(v_b____,v_c____) )],[cls_conjecture_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( v_b____ != v_b____
    | v_c____ != v_b____
    | v_b____ = v_c____ ),
    introduced(tautology,[equality,[$cnf( ~ $equal(v_b____,v_c____) ),[1],$fot(v_b____)]]) ).

cnf(refute_0_6,plain,
    ( v_b____ != v_b____
    | v_b____ = v_c____ ),
    inference(resolve,[$cnf( $equal(v_c____,v_b____) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    v_b____ != v_b____,
    inference(resolve,[$cnf( $equal(v_b____,v_c____) )],[refute_0_6,cls_conjecture_4]) ).

cnf(refute_0_8,plain,
    v_b____ = v_b____,
    introduced(tautology,[refl,[$fot(v_b____)]]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( $equal(v_b____,v_b____) )],[refute_0_8,refute_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SCT052-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Fri Jul  1 22:55:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.91/1.10  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.10  
% 0.91/1.10  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.91/1.10  
%------------------------------------------------------------------------------