%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET085-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 04:35:29 EDT 2022

% Result   : Unsatisfiable 1.31s 1.48s
% Output   : Refutation 1.31s
% 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(X31,unordered_pair(X33,X32))
    | X31 = X33
    | X31 = X32 ),
    input ).

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

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

cnf(set_in_its_singleton,axiom,
    ( ~ member(X173,universal_class)
    | member(X173,singleton(X173)) ),
    input ).

cnf(c295,plain,
    member(x,singleton(x)),
    inference(resolution,status(thm),[set_in_its_singleton,prove_singleton_in_unordered_pair3_2]) ).

cnf(c303,plain,
    ( ~ subclass(singleton(x),X432)
    | member(x,X432) ),
    inference(resolution,status(thm),[c295,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X23 != X22
    | subclass(X22,X23) ),
    input ).

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

cnf(c811,plain,
    subclass(singleton(x),unordered_pair(y,z)),
    inference(resolution,status(thm),[prove_singleton_in_unordered_pair3_1,equal_implies_subclass2]) ).

cnf(c2423,plain,
    member(x,unordered_pair(y,z)),
    inference(resolution,status(thm),[c811,c303]) ).

cnf(c2425,plain,
    ( x = y
    | x = z ),
    inference(resolution,status(thm),[c2423,unordered_pair_member]) ).

cnf(c2799,plain,
    x = z,
    inference(resolution,status(thm),[c2425,prove_singleton_in_unordered_pair3_3]) ).

cnf(c2858,plain,
    $false,
    inference(resolution,status(thm),[c2799,prove_singleton_in_unordered_pair3_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET085-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n006.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
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 06:29:21 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.31/1.48  # Version:  1.3
% 1.31/1.48  # SZS status Unsatisfiable
% 1.31/1.48  # SZS output start CNFRefutation
% See solution above
% 1.31/1.48  
% 1.31/1.48  # Initial clauses    : 174
% 1.31/1.48  # Processed clauses  : 337
% 1.31/1.48  # Factors computed   : 2
% 1.31/1.48  # Resolvents computed: 2879
% 1.31/1.48  # Tautologies deleted: 11
% 1.31/1.48  # Forward subsumed   : 168
% 1.31/1.48  # Backward subsumed  : 4
% 1.31/1.48  # -------- CPU Time ---------
% 1.31/1.48  # User time          : 1.106 s
% 1.31/1.48  # System time        : 0.024 s
% 1.31/1.48  # Total time         : 1.130 s
%------------------------------------------------------------------------------