%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 09:01:34 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   24 (   6 unt;  10 nHn;  15 RR)
%            Number of literals    :   53 (   0 equ;  21 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(a,b,Y1)
    | ~ f(a,a,b)
    | f(a,b,b) ) ).

cnf(clause3,negated_conjecture,
    ( f(b,Y1,Y2)
    | f(a,a,b)
    | ~ f(a,b,b) ) ).

cnf(clause4,negated_conjecture,
    ( ~ f(Y1,z(Y1,Y2),z(Y1,Y2))
    | f(a,a,b)
    | ~ f(a,b,b) ) ).

cnf(clause5,negated_conjecture,
    ( f(Y1,Y2,z(Y1,Y2))
    | f(a,a,b)
    | f(a,b,b) ) ).

cnf(clause6,negated_conjecture,
    ( f(Y1,Y2,z(Y1,Y2))
    | ~ f(a,a,b)
    | ~ f(a,b,b) ) ).

cnf(clause7,negated_conjecture,
    ( ~ f(b,b,Y1)
    | f(a,a,b)
    | f(a,b,b) ) ).

cnf(clause8,negated_conjecture,
    ( ~ f(b,b,Y1)
    | ~ f(a,a,b)
    | ~ f(a,b,b) ) ).

cnf(refute_0_0,plain,
    ( ~ f(a,a,b)
    | ~ f(a,b,b)
    | ~ f(b,b,z(b,b)) ),
    inference(subst,[],[clause8:[bind(Y1,$fot(z(b,b)))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(b,b,z(b,b))
    | f(a,a,b)
    | f(a,b,b) ),
    inference(subst,[],[clause7:[bind(Y1,$fot(z(b,b)))]]) ).

cnf(refute_0_2,plain,
    ( f(a,a,b)
    | f(a,b,b)
    | f(b,b,z(b,b)) ),
    inference(subst,[],[clause5:[bind(Y1,$fot(b)),bind(Y2,$fot(b))]]) ).

cnf(refute_0_3,plain,
    ( f(a,a,b)
    | f(a,b,b) ),
    inference(resolve,[$cnf( f(b,b,z(b,b)) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    ( f(a,a,b)
    | f(b,Y1,Y2) ),
    inference(resolve,[$cnf( f(a,b,b) )],[refute_0_3,clause3]) ).

cnf(refute_0_5,plain,
    ( f(a,a,b)
    | f(b,z(b,X_12),z(b,X_12)) ),
    inference(subst,[],[refute_0_4:[bind(Y1,$fot(z(b,X_12))),bind(Y2,$fot(z(b,X_12)))]]) ).

cnf(refute_0_6,plain,
    ( ~ f(a,b,b)
    | ~ f(b,z(b,X_12),z(b,X_12))
    | f(a,a,b) ),
    inference(subst,[],[clause4:[bind(Y1,$fot(b)),bind(Y2,$fot(X_12))]]) ).

cnf(refute_0_7,plain,
    ( ~ f(a,b,b)
    | f(a,a,b) ),
    inference(resolve,[$cnf( f(b,z(b,X_12),z(b,X_12)) )],[refute_0_5,refute_0_6]) ).

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

cnf(refute_0_9,plain,
    ( f(a,b,Y1)
    | f(a,b,b) ),
    inference(resolve,[$cnf( f(a,a,b) )],[refute_0_8,clause1]) ).

cnf(refute_0_10,plain,
    f(a,b,b),
    inference(subst,[],[refute_0_9:[bind(Y1,$fot(b))]]) ).

cnf(refute_0_11,plain,
    ( ~ f(a,a,b)
    | f(Y1,Y2,z(Y1,Y2)) ),
    inference(resolve,[$cnf( f(a,b,b) )],[refute_0_10,clause6]) ).

cnf(refute_0_12,plain,
    f(Y1,Y2,z(Y1,Y2)),
    inference(resolve,[$cnf( f(a,a,b) )],[refute_0_8,refute_0_11]) ).

cnf(refute_0_13,plain,
    f(b,b,z(b,b)),
    inference(subst,[],[refute_0_12:[bind(Y1,$fot(b)),bind(Y2,$fot(b))]]) ).

cnf(refute_0_14,plain,
    ( ~ f(a,a,b)
    | ~ f(a,b,b) ),
    inference(resolve,[$cnf( f(b,b,z(b,b)) )],[refute_0_13,refute_0_0]) ).

cnf(refute_0_15,plain,
    ~ f(a,b,b),
    inference(resolve,[$cnf( f(a,a,b) )],[refute_0_8,refute_0_14]) ).

cnf(refute_0_16,plain,
    $false,
    inference(resolve,[$cnf( f(a,b,b) )],[refute_0_10,refute_0_15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN345-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n013.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 : Mon Jul 11 19:29:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------