%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET083-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 04:35:27 EDT 2022

% Result   : Unsatisfiable 0.98s 1.17s
% Output   : Refutation 0.98s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_singleton_identified_by_element1_3,negated_conjecture,
    x != y,
    input ).

cnf(only_member_in_singleton,axiom,
    ( ~ member(X97,singleton(X96))
    | X97 = X96 ),
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X19 != X20
    | subclass(X19,X20) ),
    input ).

cnf(prove_singleton_identified_by_element1_1,negated_conjecture,
    singleton(x) = singleton(y),
    input ).

cnf(c129,plain,
    subclass(singleton(x),singleton(y)),
    inference(resolution,status(thm),[prove_singleton_identified_by_element1_1,equal_implies_subclass1]) ).

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

cnf(prove_singleton_identified_by_element1_2,negated_conjecture,
    member(x,universal_class),
    input ).

cnf(set_in_its_singleton,axiom,
    ( ~ member(X175,universal_class)
    | member(X175,singleton(X175)) ),
    input ).

cnf(c310,plain,
    member(x,singleton(x)),
    inference(resolution,status(thm),[set_in_its_singleton,prove_singleton_identified_by_element1_2]) ).

cnf(c315,plain,
    ( ~ subclass(singleton(x),X435)
    | member(x,X435) ),
    inference(resolution,status(thm),[c310,subclass_members]) ).

cnf(c1587,plain,
    member(x,singleton(y)),
    inference(resolution,status(thm),[c315,c129]) ).

cnf(c1597,plain,
    x = y,
    inference(resolution,status(thm),[c1587,only_member_in_singleton]) ).

cnf(c1602,plain,
    $false,
    inference(resolution,status(thm),[c1597,prove_singleton_identified_by_element1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET083-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 16:32:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.98/1.17  # Version:  1.3
% 0.98/1.17  # SZS status Unsatisfiable
% 0.98/1.17  # SZS output start CNFRefutation
% See solution above
% 0.98/1.17  
% 0.98/1.17  # Initial clauses    : 171
% 0.98/1.17  # Processed clauses  : 258
% 0.98/1.17  # Factors computed   : 0
% 0.98/1.17  # Resolvents computed: 1584
% 0.98/1.17  # Tautologies deleted: 11
% 0.98/1.17  # Forward subsumed   : 103
% 0.98/1.17  # Backward subsumed  : 2
% 0.98/1.17  # -------- CPU Time ---------
% 0.98/1.17  # User time          : 0.808 s
% 0.98/1.17  # System time        : 0.013 s
% 0.98/1.17  # Total time         : 0.821 s
%------------------------------------------------------------------------------