%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET084-6 : TPTP v8.1.2. 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  : 300s
% DateTime : Thu May  9 17:39:09 EDT 2024

% Result   : Unsatisfiable 0.99s 1.20s
% Output   : Refutation 0.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   23 (  14 unt;   1 nHn;  18 RR)
%            Number of literals    :   34 (  11 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_singleton_identified_by_element2_3,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

cnf(symmetry,axiom,
    ( X37 != X36
    | X36 = X37 ),
    theory(equality) ).

cnf(unordered_pair_member,axiom,
    ( ~ member(X39,unordered_pair(X41,X40))
    | X39 = X41
    | X39 = X40 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).

cnf(equal_implies_subclass2,axiom,
    ( X15 != X14
    | subclass(X14,X15) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).

cnf(singleton_set,axiom,
    unordered_pair(X44,X44) = singleton(X44),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).

cnf(c56,plain,
    subclass(singleton(X46),unordered_pair(X46,X46)),
    inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass2]) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X6,X5)
    | ~ member(X4,X6)
    | member(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(prove_singleton_identified_by_element2_1,negated_conjecture,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

cnf(c89,plain,
    subclass(singleton(y),singleton(x)),
    inference(resolution,[status(thm)],[prove_singleton_identified_by_element2_1,equal_implies_subclass2]) ).

cnf(equal_implies_subclass1,axiom,
    ( X10 != X9
    | subclass(X10,X9) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).

cnf(c55,plain,
    subclass(unordered_pair(X45,X45),singleton(X45)),
    inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass1]) ).

cnf(prove_singleton_identified_by_element2_2,negated_conjecture,
    member(y,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

cnf(unordered_pair2,axiom,
    ( ~ member(X48,universal_class)
    | member(X48,unordered_pair(X48,X47)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).

cnf(c62,plain,
    member(y,unordered_pair(y,X51)),
    inference(resolution,[status(thm)],[unordered_pair2,prove_singleton_identified_by_element2_2]) ).

cnf(c70,plain,
    ( ~ subclass(unordered_pair(y,X376),X375)
    | member(y,X375) ),
    inference(resolution,[status(thm)],[c62,subclass_members]) ).

cnf(c1964,plain,
    member(y,singleton(y)),
    inference(resolution,[status(thm)],[c70,c55]) ).

cnf(c1970,plain,
    ( ~ subclass(singleton(y),X378)
    | member(y,X378) ),
    inference(resolution,[status(thm)],[c1964,subclass_members]) ).

cnf(c1977,plain,
    member(y,singleton(x)),
    inference(resolution,[status(thm)],[c1970,c89]) ).

cnf(c2011,plain,
    ( ~ subclass(singleton(x),X383)
    | member(y,X383) ),
    inference(resolution,[status(thm)],[c1977,subclass_members]) ).

cnf(c2015,plain,
    member(y,unordered_pair(x,x)),
    inference(resolution,[status(thm)],[c2011,c56]) ).

cnf(c2054,plain,
    y = x,
    inference(resolution,[status(thm)],[c2015,unordered_pair_member]) ).

cnf(c2074,plain,
    x = y,
    inference(resolution,[status(thm)],[c2054,symmetry]) ).

cnf(c2144,plain,
    $false,
    inference(resolution,[status(thm)],[c2074,prove_singleton_identified_by_element2_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET084-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 19:05:38 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.99/1.20  % Version:  1.5
% 0.99/1.20  % SZS status Unsatisfiable
% 0.99/1.20  % SZS output start CNFRefutation
% See solution above
% 0.99/1.20  
% 0.99/1.20  % Initial clauses    : 136
% 0.99/1.20  % Processed clauses  : 287
% 0.99/1.20  % Factors computed   : 12
% 0.99/1.20  % Resolvents computed: 2099
% 0.99/1.20  % Tautologies deleted: 10
% 0.99/1.20  % Forward subsumed   : 108
% 0.99/1.20  % Backward subsumed  : 1
% 0.99/1.20  % -------- CPU Time ---------
% 0.99/1.20  % User time          : 0.812 s
% 0.99/1.20  % System time        : 0.024 s
% 0.99/1.20  % Total time         : 0.836 s
%------------------------------------------------------------------------------