%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %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  : 600s
% DateTime : Fri Jul 15 00:04:37 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   15 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (  23 equ;  11 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   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(equality_to_c1_and_c2_1,hypothesis,
    ( c2 != Z
    | c1 = Z ) ).

cnf(prove_c1_equals_c2,negated_conjecture,
    c2 != c1 ).

cnf(refute_0_0,plain,
    ( c2 != c2
    | c1 = c2 ),
    inference(subst,[],[equality_to_c1_and_c2_1:[bind(Z,$fot(c2))]]) ).

cnf(refute_0_1,plain,
    c2 = c2,
    introduced(tautology,[refl,[$fot(c2)]]) ).

cnf(refute_0_2,plain,
    c1 = c2,
    inference(resolve,[$cnf( $equal(c2,c2) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_4,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_5,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( c1 != c2
    | c2 = c1 ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(c1)),bind(Y,$fot(c2))]]) ).

cnf(refute_0_7,plain,
    c2 = c1,
    inference(resolve,[$cnf( $equal(c1,c2) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( c1 != c1
    | c2 != c1
    | c2 = c1 ),
    introduced(tautology,[equality,[$cnf( $equal(c2,c1) ),[1],$fot(c1)]]) ).

cnf(refute_0_9,plain,
    ( c1 != c1
    | c2 = c1 ),
    inference(resolve,[$cnf( $equal(c2,c1) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    c1 != c1,
    inference(resolve,[$cnf( $equal(c2,c1) )],[refute_0_9,prove_c1_equals_c2]) ).

cnf(refute_0_11,plain,
    c1 = c1,
    introduced(tautology,[refl,[$fot(c1)]]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( $equal(c1,c1) )],[refute_0_11,refute_0_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : CAT019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n021.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 : Sun May 29 23:23:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------