%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET081-6 : 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 04:35:24 EDT 2022

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_only_member_in_singleton_2,negated_conjecture,
    y != x,
    input ).

cnf(unordered_pair_member,axiom,
    ( ~ member(X40,unordered_pair(X41,X39))
    | X40 = X41
    | X40 = X39 ),
    input ).

cnf(equal_implies_subclass2,axiom,
    ( X15 != X14
    | subclass(X14,X15) ),
    input ).

cnf(singleton_set,axiom,
    unordered_pair(X43,X43) = singleton(X43),
    input ).

cnf(c54,plain,
    subclass(singleton(X44),unordered_pair(X44,X44)),
    inference(resolution,status(thm),[singleton_set,equal_implies_subclass2]) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X5,X4)
    | ~ member(X6,X5)
    | member(X6,X4) ),
    input ).

cnf(prove_only_member_in_singleton_1,negated_conjecture,
    member(y,singleton(x)),
    input ).

cnf(c51,plain,
    ( ~ subclass(singleton(x),X256)
    | member(y,X256) ),
    inference(resolution,status(thm),[prove_only_member_in_singleton_1,subclass_members]) ).

cnf(c762,plain,
    member(y,unordered_pair(x,x)),
    inference(resolution,status(thm),[c51,c54]) ).

cnf(c827,plain,
    y = x,
    inference(resolution,status(thm),[c762,unordered_pair_member]) ).

cnf(c830,plain,
    $false,
    inference(resolution,status(thm),[c827,prove_only_member_in_singleton_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET081-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 09:51:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.60/0.79  # Version:  1.3
% 0.60/0.79  # SZS status Unsatisfiable
% 0.60/0.79  # SZS output start CNFRefutation
% See solution above
% 0.60/0.79  
% 0.60/0.79  # Initial clauses    : 135
% 0.60/0.79  # Processed clauses  : 148
% 0.60/0.79  # Factors computed   : 0
% 0.60/0.79  # Resolvents computed: 814
% 0.60/0.79  # Tautologies deleted: 6
% 0.60/0.79  # Forward subsumed   : 46
% 0.60/0.79  # Backward subsumed  : 0
% 0.60/0.79  # -------- CPU Time ---------
% 0.60/0.79  # User time          : 0.438 s
% 0.60/0.79  # System time        : 0.022 s
% 0.60/0.79  # Total time         : 0.460 s
%------------------------------------------------------------------------------