TSTP Solution File: SET101-7 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET101-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 04:35:44 EDT 2022

% Result   : Unsatisfiable 5.92s 6.16s
% Output   : Refutation 5.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_singleton_member_of_ordered_pair_1,negated_conjecture,
    ~ member(singleton(x),ordered_pair(x,y)),
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X17 != X16
    | subclass(X17,X16) ),
    input ).

cnf(ordered_pair,axiom,
    unordered_pair(singleton(X66),unordered_pair(X66,singleton(X65))) = ordered_pair(X66,X65),
    input ).

cnf(c87,plain,
    subclass(unordered_pair(singleton(X863),unordered_pair(X863,singleton(X862))),ordered_pair(X863,X862)),
    inference(resolution,status(thm),[ordered_pair,equal_implies_subclass1]) ).

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

cnf(singletons_are_sets,axiom,
    member(singleton(X15),universal_class),
    input ).

cnf(unordered_pair2,axiom,
    ( ~ member(X49,universal_class)
    | member(X49,unordered_pair(X49,X48)) ),
    input ).

cnf(c64,plain,
    member(singleton(X191),unordered_pair(singleton(X191),X190)),
    inference(resolution,status(thm),[unordered_pair2,singletons_are_sets]) ).

cnf(c324,plain,
    ( ~ subclass(unordered_pair(singleton(X1683),X1682),X1681)
    | member(singleton(X1683),X1681) ),
    inference(resolution,status(thm),[c64,subclass_members]) ).

cnf(c15813,plain,
    member(singleton(X1685),ordered_pair(X1685,X1686)),
    inference(resolution,status(thm),[c324,c87]) ).

cnf(c15836,plain,
    $false,
    inference(resolution,status(thm),[c15813,prove_singleton_member_of_ordered_pair_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET101-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n028.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 : Sat Jul  9 17:02:26 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 5.92/6.16  # Version:  1.3
% 5.92/6.16  # SZS status Unsatisfiable
% 5.92/6.16  # SZS output start CNFRefutation
% See solution above
% 5.92/6.16  
% 5.92/6.16  # Initial clauses    : 190
% 5.92/6.16  # Processed clauses  : 791
% 5.92/6.16  # Factors computed   : 4
% 5.92/6.16  # Resolvents computed: 15810
% 5.92/6.16  # Tautologies deleted: 10
% 5.92/6.16  # Forward subsumed   : 647
% 5.92/6.16  # Backward subsumed  : 7
% 5.92/6.16  # -------- CPU Time ---------
% 5.92/6.16  # User time          : 5.745 s
% 5.92/6.16  # System time        : 0.050 s
% 5.92/6.16  # Total time         : 5.795 s
%------------------------------------------------------------------------------