%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 09:01:37 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   27 (  11 unt;   7 nHn;  14 RR)
%            Number of literals    :   55 (   0 equ;  22 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-2 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ( f(X,g(X,Y))
    | ~ f(w(X),g(X,Y)) ) ).

cnf(clause2,negated_conjecture,
    ( ~ f(X,g(X,Y))
    | f(w(X),g(X,Y)) ) ).

cnf(clause3,negated_conjecture,
    ( ~ f(X,g(X,Y))
    | f(g(X,Y),Y)
    | ~ f(Y,g(X,Y))
    | f(g(X,Y),w(X)) ) ).

cnf(clause5,negated_conjecture,
    ( f(X,g(X,Y))
    | f(g(X,Y),Y)
    | f(Y,g(X,Y))
    | f(g(X,Y),w(X)) ) ).

cnf(clause8,negated_conjecture,
    ( f(X,g(X,Y))
    | ~ f(g(X,Y),Y)
    | f(Y,g(X,Y))
    | ~ f(g(X,Y),w(X)) ) ).

cnf(clause10,negated_conjecture,
    ( ~ f(X,g(X,Y))
    | ~ f(g(X,Y),Y)
    | ~ f(Y,g(X,Y))
    | ~ f(g(X,Y),w(X)) ) ).

cnf(refute_0_0,plain,
    ( ~ f(X_15,g(X_15,w(X_15)))
    | ~ f(g(X_15,w(X_15)),w(X_15))
    | ~ f(w(X_15),g(X_15,w(X_15))) ),
    inference(subst,[],[clause10:[bind(X,$fot(X_15)),bind(Y,$fot(w(X_15)))]]) ).

cnf(refute_0_1,plain,
    ( ~ f(X_9,g(X_9,w(X_9)))
    | f(w(X_9),g(X_9,w(X_9))) ),
    inference(subst,[],[clause2:[bind(X,$fot(X_9)),bind(Y,$fot(w(X_9)))]]) ).

cnf(refute_0_2,plain,
    ( ~ f(w(X_8),g(X_8,w(X_8)))
    | f(X_8,g(X_8,w(X_8))) ),
    inference(subst,[],[clause1:[bind(X,$fot(X_8)),bind(Y,$fot(w(X_8)))]]) ).

cnf(refute_0_3,plain,
    ( ~ f(g(X_7,w(X_7)),w(X_7))
    | f(X_7,g(X_7,w(X_7)))
    | f(w(X_7),g(X_7,w(X_7))) ),
    inference(subst,[],[clause8:[bind(X,$fot(X_7)),bind(Y,$fot(w(X_7)))]]) ).

cnf(refute_0_4,plain,
    ( f(X_7,g(X_7,w(X_7)))
    | f(g(X_7,w(X_7)),w(X_7))
    | f(w(X_7),g(X_7,w(X_7))) ),
    inference(subst,[],[clause5:[bind(X,$fot(X_7)),bind(Y,$fot(w(X_7)))]]) ).

cnf(refute_0_5,plain,
    ( f(X_7,g(X_7,w(X_7)))
    | f(w(X_7),g(X_7,w(X_7))) ),
    inference(resolve,[$cnf( f(g(X_7,w(X_7)),w(X_7)) )],[refute_0_4,refute_0_3]) ).

cnf(refute_0_6,plain,
    ( f(X_8,g(X_8,w(X_8)))
    | f(w(X_8),g(X_8,w(X_8))) ),
    inference(subst,[],[refute_0_5:[bind(X_7,$fot(X_8))]]) ).

cnf(refute_0_7,plain,
    f(X_8,g(X_8,w(X_8))),
    inference(resolve,[$cnf( f(w(X_8),g(X_8,w(X_8))) )],[refute_0_6,refute_0_2]) ).

cnf(refute_0_8,plain,
    f(X_9,g(X_9,w(X_9))),
    inference(subst,[],[refute_0_7:[bind(X_8,$fot(X_9))]]) ).

cnf(refute_0_9,plain,
    f(w(X_9),g(X_9,w(X_9))),
    inference(resolve,[$cnf( f(X_9,g(X_9,w(X_9))) )],[refute_0_8,refute_0_1]) ).

cnf(refute_0_10,plain,
    f(w(X_13),g(X_13,w(X_13))),
    inference(subst,[],[refute_0_9:[bind(X_9,$fot(X_13))]]) ).

cnf(refute_0_11,plain,
    ( ~ f(X_13,g(X_13,w(X_13)))
    | ~ f(w(X_13),g(X_13,w(X_13)))
    | f(g(X_13,w(X_13)),w(X_13)) ),
    inference(subst,[],[clause3:[bind(X,$fot(X_13)),bind(Y,$fot(w(X_13)))]]) ).

cnf(refute_0_12,plain,
    ( ~ f(X_13,g(X_13,w(X_13)))
    | f(g(X_13,w(X_13)),w(X_13)) ),
    inference(resolve,[$cnf( f(w(X_13),g(X_13,w(X_13))) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    f(X_13,g(X_13,w(X_13))),
    inference(subst,[],[refute_0_7:[bind(X_8,$fot(X_13))]]) ).

cnf(refute_0_14,plain,
    f(g(X_13,w(X_13)),w(X_13)),
    inference(resolve,[$cnf( f(X_13,g(X_13,w(X_13))) )],[refute_0_13,refute_0_12]) ).

cnf(refute_0_15,plain,
    f(g(X_15,w(X_15)),w(X_15)),
    inference(subst,[],[refute_0_14:[bind(X_13,$fot(X_15))]]) ).

cnf(refute_0_16,plain,
    ( ~ f(X_15,g(X_15,w(X_15)))
    | ~ f(w(X_15),g(X_15,w(X_15))) ),
    inference(resolve,[$cnf( f(g(X_15,w(X_15)),w(X_15)) )],[refute_0_15,refute_0_0]) ).

cnf(refute_0_17,plain,
    f(X_15,g(X_15,w(X_15))),
    inference(subst,[],[refute_0_7:[bind(X_8,$fot(X_15))]]) ).

cnf(refute_0_18,plain,
    ~ f(w(X_15),g(X_15,w(X_15))),
    inference(resolve,[$cnf( f(X_15,g(X_15,w(X_15))) )],[refute_0_17,refute_0_16]) ).

cnf(refute_0_19,plain,
    f(w(X_15),g(X_15,w(X_15))),
    inference(subst,[],[refute_0_9:[bind(X_9,$fot(X_15))]]) ).

cnf(refute_0_20,plain,
    $false,
    inference(resolve,[$cnf( f(w(X_15),g(X_15,w(X_15))) )],[refute_0_19,refute_0_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN349-1 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 12:59:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------