TSTP Solution File: SET024-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET024-6 : 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 04:34:27 EDT 2022

% Result   : Unsatisfiable 0.76s 0.94s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_set_in_its_singleton_2,negated_conjecture,
    ~ member(x,singleton(x)),
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X9 != X10
    | subclass(X9,X10) ),
    input ).

cnf(singleton_set,axiom,
    unordered_pair(X43,X43) = singleton(X43),
    input ).

cnf(c56,plain,
    subclass(unordered_pair(X46,X46),singleton(X46)),
    inference(resolution,status(thm),[singleton_set,equal_implies_subclass1]) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X5,X6)
    | ~ member(X4,X5)
    | member(X4,X6) ),
    input ).

cnf(prove_set_in_its_singleton_1,negated_conjecture,
    member(x,universal_class),
    input ).

cnf(unordered_pair2,axiom,
    ( ~ member(X47,universal_class)
    | member(X47,unordered_pair(X47,X48)) ),
    input ).

cnf(c63,plain,
    member(x,unordered_pair(x,X52)),
    inference(resolution,status(thm),[unordered_pair2,prove_set_in_its_singleton_1]) ).

cnf(c66,plain,
    ( ~ subclass(unordered_pair(x,X329),X328)
    | member(x,X328) ),
    inference(resolution,status(thm),[c63,subclass_members]) ).

cnf(c1661,plain,
    member(x,singleton(x)),
    inference(resolution,status(thm),[c66,c56]) ).

cnf(c1665,plain,
    $false,
    inference(resolution,status(thm),[c1661,prove_set_in_its_singleton_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET024-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 15:12:21 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.76/0.94  # Version:  1.3
% 0.76/0.94  # SZS status Unsatisfiable
% 0.76/0.94  # SZS output start CNFRefutation
% See solution above
% 0.76/0.94  
% 0.76/0.94  # Initial clauses    : 135
% 0.76/0.94  # Processed clauses  : 239
% 0.76/0.94  # Factors computed   : 0
% 0.76/0.94  # Resolvents computed: 1629
% 0.76/0.94  # Tautologies deleted: 9
% 0.76/0.94  # Forward subsumed   : 71
% 0.76/0.94  # Backward subsumed  : 1
% 0.76/0.94  # -------- CPU Time ---------
% 0.76/0.94  # User time          : 0.562 s
% 0.76/0.94  # System time        : 0.013 s
% 0.76/0.94  # Total time         : 0.575 s
%------------------------------------------------------------------------------