%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN354-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n026.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 09:01:42 EDT 2022

% Result   : Unsatisfiable 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (   5 unt;   3 nHn;  14 RR)
%            Number of literals    :   30 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn)

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

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

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

cnf(clause7,negated_conjecture,
    ( ~ f(a,Y1)
    | ~ f(b,Y1)
    | ~ f(Y1,Y2) ) ).

cnf(refute_0_0,plain,
    ( ~ f(Y1,b)
    | ~ g(b,z(Y1,b))
    | f(b,b) ),
    inference(subst,[],[clause4:[bind(Y2,$fot(b))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(a,b)
    | ~ f(b,b) ),
    inference(subst,[],[clause7:[bind(Y1,$fot(b)),bind(Y2,$fot(b))]]) ).

cnf(refute_0_2,plain,
    ~ f(b,b),
    inference(resolve,[$cnf( f(a,b) )],[clause1,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ f(Y1,b)
    | ~ g(b,z(Y1,b)) ),
    inference(resolve,[$cnf( f(b,b) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ f(a,b)
    | ~ g(b,z(a,b)) ),
    inference(subst,[],[refute_0_3:[bind(Y1,$fot(a))]]) ).

cnf(refute_0_5,plain,
    ( ~ f(a,b)
    | f(b,b)
    | g(b,z(a,b)) ),
    inference(subst,[],[clause3:[bind(Y1,$fot(a)),bind(Y2,$fot(b))]]) ).

cnf(refute_0_6,plain,
    ( f(b,b)
    | g(b,z(a,b)) ),
    inference(resolve,[$cnf( f(a,b) )],[clause1,refute_0_5]) ).

cnf(refute_0_7,plain,
    g(b,z(a,b)),
    inference(resolve,[$cnf( f(b,b) )],[refute_0_6,refute_0_2]) ).

cnf(refute_0_8,plain,
    ~ f(a,b),
    inference(resolve,[$cnf( g(b,z(a,b)) )],[refute_0_7,refute_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN354-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n026.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 13:13:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  
% 0.13/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------