%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 04:34:02 EDT 2022

% Result   : Unsatisfiable 1.17s 1.39s
% Output   : Refutation 1.17s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_bDa_is_a_subset_of_bDd,negated_conjecture,
    ~ subset(bDa,bDd),
    input ).

cnf(subsets_axiom1,axiom,
    ( subset(X11,X10)
    | member(member_of_1_not_of_2(X11,X10),X11) ),
    input ).

cnf(c2,plain,
    member(member_of_1_not_of_2(bDa,bDd),bDa),
    inference(resolution,status(thm),[subsets_axiom1,prove_bDa_is_a_subset_of_bDd]) ).

cnf(not_member_of_difference,axiom,
    ( ~ member(X31,X33)
    | ~ member(X31,X30)
    | ~ difference(X32,X33,X30) ),
    input ).

cnf(d_is_a_subset_of_a,plain,
    subset(d,a),
    input ).

cnf(membership_in_subsets,axiom,
    ( ~ member(X7,X8)
    | ~ subset(X8,X6)
    | member(X7,X6) ),
    input ).

cnf(c0,plain,
    ( ~ member(X9,d)
    | member(X9,a) ),
    inference(resolution,status(thm),[membership_in_subsets,d_is_a_subset_of_a]) ).

cnf(difference_axiom2,axiom,
    ( difference(X45,X43,X44)
    | member(k(X45,X43,X44),X45)
    | member(k(X45,X43,X44),X44) ),
    input ).

cnf(c35,plain,
    ( difference(X46,X47,X46)
    | member(k(X46,X47,X46),X46) ),
    inference(factor,status(thm),[difference_axiom2]) ).

cnf(c55,plain,
    ( difference(d,X103,d)
    | member(k(d,X103,d),a) ),
    inference(resolution,status(thm),[c35,c0]) ).

cnf(b_minus_a,plain,
    difference(b,a,bDa),
    input ).

cnf(c18,plain,
    ( ~ member(X34,a)
    | ~ member(X34,bDa) ),
    inference(resolution,status(thm),[not_member_of_difference,b_minus_a]) ).

cnf(difference_axiom3,axiom,
    ( ~ member(k(X60,X58,X59),X59)
    | ~ member(k(X60,X58,X59),X60)
    | member(k(X60,X58,X59),X58)
    | difference(X60,X58,X59) ),
    input ).

cnf(c78,plain,
    ( ~ member(k(X200,X199,X200),X200)
    | member(k(X200,X199,X200),X199)
    | difference(X200,X199,X200) ),
    inference(resolution,status(thm),[difference_axiom3,c35]) ).

cnf(c1154,plain,
    ( member(k(X202,X201,X202),X201)
    | difference(X202,X201,X202) ),
    inference(resolution,status(thm),[c78,c35]) ).

cnf(c1189,plain,
    ( difference(X219,bDa,X219)
    | ~ member(k(X219,bDa,X219),a) ),
    inference(resolution,status(thm),[c1154,c18]) ).

cnf(c1301,plain,
    difference(d,bDa,d),
    inference(resolution,status(thm),[c1189,c55]) ).

cnf(c1384,plain,
    ( ~ member(X227,bDa)
    | ~ member(X227,d) ),
    inference(resolution,status(thm),[c1301,not_member_of_difference]) ).

cnf(subsets_axiom2,axiom,
    ( ~ member(member_of_1_not_of_2(X13,X12),X12)
    | subset(X13,X12) ),
    input ).

cnf(member_of_difference,axiom,
    ( ~ difference(X25,X22,X23)
    | ~ member(X24,X23)
    | member(X24,X25) ),
    input ).

cnf(c13,plain,
    ( ~ member(X27,bDa)
    | member(X27,b) ),
    inference(resolution,status(thm),[member_of_difference,b_minus_a]) ).

cnf(c16,plain,
    ( member(member_of_1_not_of_2(bDa,X41),b)
    | subset(bDa,X41) ),
    inference(resolution,status(thm),[c13,subsets_axiom1]) ).

cnf(b_minus_d,plain,
    difference(b,d,bDd),
    input ).

cnf(member_of_difference_or_set2,axiom,
    ( ~ member(X39,X40)
    | ~ difference(X40,X37,X38)
    | member(X39,X38)
    | member(X39,X37) ),
    input ).

cnf(c28,plain,
    ( ~ member(X69,b)
    | member(X69,bDd)
    | member(X69,d) ),
    inference(resolution,status(thm),[member_of_difference_or_set2,b_minus_d]) ).

cnf(c112,plain,
    ( member(member_of_1_not_of_2(bDa,X333),bDd)
    | member(member_of_1_not_of_2(bDa,X333),d)
    | subset(bDa,X333) ),
    inference(resolution,status(thm),[c28,c16]) ).

cnf(c3261,plain,
    ( member(member_of_1_not_of_2(bDa,bDd),d)
    | subset(bDa,bDd) ),
    inference(resolution,status(thm),[c112,subsets_axiom2]) ).

cnf(c3302,plain,
    member(member_of_1_not_of_2(bDa,bDd),d),
    inference(resolution,status(thm),[c3261,prove_bDa_is_a_subset_of_bDd]) ).

cnf(c3306,plain,
    ~ member(member_of_1_not_of_2(bDa,bDd),bDa),
    inference(resolution,status(thm),[c3302,c1384]) ).

cnf(c3331,plain,
    $false,
    inference(resolution,status(thm),[c3306,c2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.34  % CPULimit : 300
% 0.20/0.34  % WCLimit  : 600
% 0.20/0.34  % DateTime : Sun Jul 10 08:07:50 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 1.17/1.39  # Version:  1.3
% 1.17/1.39  # SZS status Unsatisfiable
% 1.17/1.39  # SZS output start CNFRefutation
% See solution above
% 1.17/1.39  
% 1.17/1.39  # Initial clauses    : 16
% 1.17/1.39  # Processed clauses  : 193
% 1.17/1.39  # Factors computed   : 19
% 1.17/1.39  # Resolvents computed: 3318
% 1.17/1.39  # Tautologies deleted: 26
% 1.17/1.39  # Forward subsumed   : 126
% 1.17/1.39  # Backward subsumed  : 6
% 1.17/1.39  # -------- CPU Time ---------
% 1.17/1.39  # User time          : 1.021 s
% 1.17/1.39  # System time        : 0.021 s
% 1.17/1.39  # Total time         : 1.042 s
%------------------------------------------------------------------------------