%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET085-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 04:35:28 EDT 2022

% Result   : Unsatisfiable 1.01s 1.17s
% Output   : Refutation 1.01s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_singleton_in_unordered_pair3_4,negated_conjecture,
    x != z,
    input ).

cnf(prove_singleton_in_unordered_pair3_3,negated_conjecture,
    x != y,
    input ).

cnf(unordered_pair_member,axiom,
    ( ~ member(X40,unordered_pair(X38,X39))
    | X40 = X38
    | X40 = X39 ),
    input ).

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

cnf(prove_singleton_in_unordered_pair3_1,negated_conjecture,
    unordered_pair(y,z) = singleton(x),
    input ).

cnf(c520,plain,
    subclass(singleton(x),unordered_pair(y,z)),
    inference(resolution,status(thm),[prove_singleton_in_unordered_pair3_1,equal_implies_subclass2]) ).

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

cnf(equal_implies_subclass1,axiom,
    ( X11 != X12
    | subclass(X11,X12) ),
    input ).

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

cnf(c56,plain,
    subclass(unordered_pair(X48,X48),singleton(X48)),
    inference(resolution,status(thm),[singleton_set,equal_implies_subclass1]) ).

cnf(prove_singleton_in_unordered_pair3_2,negated_conjecture,
    member(x,universal_class),
    input ).

cnf(unordered_pair2,axiom,
    ( ~ member(X46,universal_class)
    | member(X46,unordered_pair(X46,X47)) ),
    input ).

cnf(c62,plain,
    member(x,unordered_pair(x,X55)),
    inference(resolution,status(thm),[unordered_pair2,prove_singleton_in_unordered_pair3_2]) ).

cnf(c73,plain,
    ( ~ subclass(unordered_pair(x,X340),X339)
    | member(x,X339) ),
    inference(resolution,status(thm),[c62,subclass_members]) ).

cnf(c1725,plain,
    member(x,singleton(x)),
    inference(resolution,status(thm),[c73,c56]) ).

cnf(c1728,plain,
    ( ~ subclass(singleton(x),X345)
    | member(x,X345) ),
    inference(resolution,status(thm),[c1725,subclass_members]) ).

cnf(c1731,plain,
    member(x,unordered_pair(y,z)),
    inference(resolution,status(thm),[c1728,c520]) ).

cnf(c1737,plain,
    ( x = y
    | x = z ),
    inference(resolution,status(thm),[c1731,unordered_pair_member]) ).

cnf(c1741,plain,
    x = z,
    inference(resolution,status(thm),[c1737,prove_singleton_in_unordered_pair3_3]) ).

cnf(c1794,plain,
    $false,
    inference(resolution,status(thm),[c1741,prove_singleton_in_unordered_pair3_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET085-6 : 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 : n020.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 : Sun Jul 10 11:08:13 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.01/1.17  # Version:  1.3
% 1.01/1.17  # SZS status Unsatisfiable
% 1.01/1.17  # SZS output start CNFRefutation
% See solution above
% 1.01/1.17  
% 1.01/1.17  # Initial clauses    : 137
% 1.01/1.17  # Processed clauses  : 254
% 1.01/1.17  # Factors computed   : 0
% 1.01/1.17  # Resolvents computed: 1776
% 1.01/1.17  # Tautologies deleted: 9
% 1.01/1.17  # Forward subsumed   : 82
% 1.01/1.17  # Backward subsumed  : 2
% 1.01/1.17  # -------- CPU Time ---------
% 1.01/1.17  # User time          : 0.812 s
% 1.01/1.17  # System time        : 0.017 s
% 1.01/1.17  # Total time         : 0.829 s
%------------------------------------------------------------------------------