%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 04:33:59 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_a_is_a_subset_of_aUa,negated_conjecture,
    ~ subset(a,aUa),
    input ).

cnf(subsets_axiom2,axiom,
    ( ~ member(member_of_1_not_of_2(X12,X11),X11)
    | subset(X12,X11) ),
    input ).

cnf(subsets_axiom1,axiom,
    ( subset(X7,X6)
    | member(member_of_1_not_of_2(X7,X6),X7) ),
    input ).

cnf(c0,plain,
    member(member_of_1_not_of_2(a,aUa),a),
    inference(resolution,status(thm),[subsets_axiom1,prove_a_is_a_subset_of_aUa]) ).

cnf(a_union_a_is_aUa,plain,
    union(a,a,aUa),
    input ).

cnf(member_of_set1_is_member_of_union,axiom,
    ( ~ union(X28,X27,X30)
    | ~ member(X29,X28)
    | member(X29,X30) ),
    input ).

cnf(c12,plain,
    ( ~ member(X31,a)
    | member(X31,aUa) ),
    inference(resolution,status(thm),[member_of_set1_is_member_of_union,a_union_a_is_aUa]) ).

cnf(c14,plain,
    member(member_of_1_not_of_2(a,aUa),aUa),
    inference(resolution,status(thm),[c12,c0]) ).

cnf(c15,plain,
    subset(a,aUa),
    inference(resolution,status(thm),[c14,subsets_axiom2]) ).

cnf(c17,plain,
    $false,
    inference(resolution,status(thm),[c15,prove_a_is_a_subset_of_aUa]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 06:50:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.53  # Version:  1.3
% 0.20/0.53  # SZS status Unsatisfiable
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  
% 0.20/0.53  # Initial clauses    : 14
% 0.20/0.53  # Processed clauses  : 18
% 0.20/0.53  # Factors computed   : 0
% 0.20/0.53  # Resolvents computed: 20
% 0.20/0.53  # Tautologies deleted: 1
% 0.20/0.53  # Forward subsumed   : 2
% 0.20/0.53  # Backward subsumed  : 1
% 0.20/0.53  # -------- CPU Time ---------
% 0.20/0.53  # User time          : 0.167 s
% 0.20/0.53  # System time        : 0.016 s
% 0.20/0.53  # Total time         : 0.183 s
%------------------------------------------------------------------------------