%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET094-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 : Tue Jul 19 04:35:36 EDT 2022

% Result   : Unsatisfiable 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_property_of_singletons1_3,negated_conjecture,
    member_of(x) != y,
    input ).

cnf(symmetry,axiom,
    ( X46 != X47
    | X47 = X46 ),
    eq_axiom ).

cnf(only_member_in_singleton,axiom,
    ( ~ member(X95,singleton(X94))
    | X95 = X94 ),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X5,X7)
    | ~ member(X6,X5)
    | member(X6,X7) ),
    input ).

cnf(prove_property_of_singletons1_2,negated_conjecture,
    member(y,x),
    input ).

cnf(c45,plain,
    ( ~ subclass(x,X123)
    | member(y,X123) ),
    inference(resolution,status(thm),[prove_property_of_singletons1_2,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X22 != X23
    | subclass(X23,X22) ),
    input ).

cnf(prove_property_of_singletons1_1,negated_conjecture,
    singleton(member_of(x)) = x,
    input ).

cnf(c121,plain,
    subclass(x,singleton(member_of(x))),
    inference(resolution,status(thm),[prove_property_of_singletons1_1,equal_implies_subclass2]) ).

cnf(c243,plain,
    member(y,singleton(member_of(x))),
    inference(resolution,status(thm),[c121,c45]) ).

cnf(c281,plain,
    y = member_of(x),
    inference(resolution,status(thm),[c243,only_member_in_singleton]) ).

cnf(c288,plain,
    member_of(x) = y,
    inference(resolution,status(thm),[c281,symmetry]) ).

cnf(c295,plain,
    $false,
    inference(resolution,status(thm),[c288,prove_property_of_singletons1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET094-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36  % Computer : n028.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jul  9 18:22:41 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.62/0.79  # Version:  1.3
% 0.62/0.79  # SZS status Unsatisfiable
% 0.62/0.79  # SZS output start CNFRefutation
% See solution above
% 0.62/0.79  
% 0.62/0.79  # Initial clauses    : 184
% 0.62/0.79  # Processed clauses  : 95
% 0.62/0.79  # Factors computed   : 0
% 0.62/0.79  # Resolvents computed: 261
% 0.62/0.79  # Tautologies deleted: 5
% 0.62/0.79  # Forward subsumed   : 36
% 0.62/0.79  # Backward subsumed  : 0
% 0.62/0.79  # -------- CPU Time ---------
% 0.62/0.79  # User time          : 0.415 s
% 0.62/0.79  # System time        : 0.009 s
% 0.62/0.79  # Total time         : 0.424 s
%------------------------------------------------------------------------------