%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Thu Jul 21 09:01:36 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (   4 unt;  11 nHn;  14 RR)
%            Number of literals    :   43 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(X1,y(X1,X2))
    | ~ f(X2,y(X1,X2))
    | f(a,b) ) ).

cnf(clause2,negated_conjecture,
    ( ~ f(X1,y(X1,X2))
    | f(X2,y(X1,X2))
    | f(a,b) ) ).

cnf(clause3,negated_conjecture,
    ( ~ f(X1,y(X1,X2))
    | ~ f(X2,y(X1,X2))
    | ~ f(a,b) ) ).

cnf(clause4,negated_conjecture,
    ( f(X1,y(X1,X2))
    | f(X2,y(X1,X2))
    | ~ f(a,b) ) ).

cnf(clause5,negated_conjecture,
    ( f(a,y(X1,X2))
    | f(b,y(X1,X2)) ) ).

cnf(clause6,negated_conjecture,
    ( ~ f(a,y(X1,X2))
    | ~ f(b,y(X1,X2)) ) ).

cnf(refute_0_0,plain,
    ( f(a,y(X_5,b))
    | f(b,y(X_5,b)) ),
    inference(subst,[],[clause5:[bind(X1,$fot(X_5)),bind(X2,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(b,y(X_5,b))
    | f(X_5,y(X_5,b))
    | f(a,b) ),
    inference(subst,[],[clause1:[bind(X1,$fot(X_5)),bind(X2,$fot(b))]]) ).

cnf(refute_0_2,plain,
    ( f(X_5,y(X_5,b))
    | f(a,b)
    | f(a,y(X_5,b)) ),
    inference(resolve,[$cnf( f(b,y(X_5,b)) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( f(a,b)
    | f(a,y(a,b)) ),
    inference(subst,[],[refute_0_2:[bind(X_5,$fot(a))]]) ).

cnf(refute_0_4,plain,
    ( ~ f(a,y(a,b))
    | ~ f(b,y(a,b)) ),
    inference(subst,[],[clause6:[bind(X1,$fot(a)),bind(X2,$fot(b))]]) ).

cnf(refute_0_5,plain,
    ( ~ f(a,y(a,b))
    | f(a,b)
    | f(b,y(a,b)) ),
    inference(subst,[],[clause2:[bind(X1,$fot(a)),bind(X2,$fot(b))]]) ).

cnf(refute_0_6,plain,
    ( f(a,b)
    | f(b,y(a,b)) ),
    inference(resolve,[$cnf( f(a,y(a,b)) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ f(a,y(a,b))
    | f(a,b) ),
    inference(resolve,[$cnf( f(b,y(a,b)) )],[refute_0_6,refute_0_4]) ).

cnf(refute_0_8,plain,
    f(a,b),
    inference(resolve,[$cnf( f(a,y(a,b)) )],[refute_0_3,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( f(X1,y(X1,X2))
    | f(X2,y(X1,X2)) ),
    inference(resolve,[$cnf( f(a,b) )],[refute_0_8,clause4]) ).

cnf(refute_0_10,plain,
    f(X2,y(X2,X2)),
    inference(subst,[],[refute_0_9:[bind(X1,$fot(X2))]]) ).

cnf(refute_0_11,plain,
    ( ~ f(X1,y(X1,X2))
    | ~ f(X2,y(X1,X2)) ),
    inference(resolve,[$cnf( f(a,b) )],[refute_0_8,clause3]) ).

cnf(refute_0_12,plain,
    ~ f(X2,y(X2,X2)),
    inference(subst,[],[refute_0_11:[bind(X1,$fot(X2))]]) ).

cnf(refute_0_13,plain,
    $false,
    inference(resolve,[$cnf( f(X2,y(X2,X2)) )],[refute_0_10,refute_0_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN347-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n023.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 21:56:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------