%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : NUM019-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 12:24:08 EDT 2022

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   16 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 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(reflexivity,hypothesis,
    equalish(X,X) ).

cnf(transitivity,hypothesis,
    ( ~ equalish(X,Y)
    | ~ equalish(X,Z)
    | equalish(Y,Z) ) ).

cnf(a_equals_aa,hypothesis,
    equalish(a,aa) ).

cnf(prove_b_equals_a,negated_conjecture,
    ~ equalish(aa,a) ).

cnf(refute_0_0,plain,
    equalish(a,a),
    inference(subst,[],[reflexivity:[bind(X,$fot(a))]]) ).

cnf(refute_0_1,plain,
    ( ~ equalish(a,X_62)
    | ~ equalish(a,aa)
    | equalish(aa,X_62) ),
    inference(subst,[],[transitivity:[bind(X,$fot(a)),bind(Y,$fot(aa)),bind(Z,$fot(X_62))]]) ).

cnf(refute_0_2,plain,
    ( ~ equalish(a,X_62)
    | equalish(aa,X_62) ),
    inference(resolve,[$cnf( equalish(a,aa) )],[a_equals_aa,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ equalish(a,a)
    | equalish(aa,a) ),
    inference(subst,[],[refute_0_2:[bind(X_62,$fot(a))]]) ).

cnf(refute_0_4,plain,
    equalish(aa,a),
    inference(resolve,[$cnf( equalish(a,a) )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    $false,
    inference(resolve,[$cnf( equalish(aa,a) )],[refute_0_4,prove_b_equals_a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM019-1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n023.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  : 600
% 0.13/0.34  % DateTime : Thu Jul  7 06:17:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40  
% 0.13/0.40  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.40  
%------------------------------------------------------------------------------