TSTP Solution File: SET077+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n005.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 04:35:20 EDT 2022

% Result   : Theorem 41.74s 41.94s
% Output   : Refutation 41.74s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
fof(singletons_are_sets,conjecture,
    ! [X] : member(singleton(X),universal_class),
    input ).

fof(c26,negated_conjecture,
    ~ ! [X] : member(singleton(X),universal_class),
    inference(assume_negation,status(cth),[singletons_are_sets]) ).

fof(c27,negated_conjecture,
    ? [X] : ~ member(singleton(X),universal_class),
    inference(fof_nnf,status(thm),[c26]) ).

fof(c28,negated_conjecture,
    ? [X2] : ~ member(singleton(X2),universal_class),
    inference(variable_rename,status(thm),[c27]) ).

fof(c29,negated_conjecture,
    ~ member(singleton(skolem0001),universal_class),
    inference(skolemize,status(esa),[c28]) ).

cnf(c30,negated_conjecture,
    ~ member(singleton(skolem0001),universal_class),
    inference(split_conjunct,status(thm),[c29]) ).

cnf(reflexivity,axiom,
    X139 = X139,
    eq_axiom ).

cnf(symmetry,axiom,
    ( X143 != X142
    | X142 = X143 ),
    eq_axiom ).

fof(singleton_set_defn,axiom,
    ! [X] : singleton(X) = unordered_pair(X,X),
    input ).

fof(c226,axiom,
    ! [X119] : singleton(X119) = unordered_pair(X119,X119),
    inference(variable_rename,status(thm),[singleton_set_defn]) ).

cnf(c227,axiom,
    singleton(X164) = unordered_pair(X164,X164),
    inference(split_conjunct,status(thm),[c226]) ).

cnf(c269,plain,
    unordered_pair(X170,X170) = singleton(X170),
    inference(resolution,status(thm),[c227,symmetry]) ).

fof(unordered_pair,axiom,
    ! [X,Y] : member(unordered_pair(X,Y),universal_class),
    input ).

fof(c228,axiom,
    ! [X120,X121] : member(unordered_pair(X120,X121),universal_class),
    inference(variable_rename,status(thm),[unordered_pair]) ).

cnf(c229,axiom,
    member(unordered_pair(X151,X150),universal_class),
    inference(split_conjunct,status(thm),[c228]) ).

cnf(c22,plain,
    ( X340 != X341
    | X339 != X342
    | ~ member(X340,X339)
    | member(X341,X342) ),
    eq_axiom ).

cnf(c729,plain,
    ( unordered_pair(X2467,X2468) != X2466
    | universal_class != X2465
    | member(X2466,X2465) ),
    inference(resolution,status(thm),[c22,c229]) ).

cnf(c43119,plain,
    ( universal_class != X3464
    | member(singleton(X3465),X3464) ),
    inference(resolution,status(thm),[c729,c269]) ).

cnf(c54712,plain,
    member(singleton(X3466),universal_class),
    inference(resolution,status(thm),[c43119,reflexivity]) ).

cnf(c54720,plain,
    $false,
    inference(resolution,status(thm),[c54712,c30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 00:27:52 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 41.74/41.94  # Version:  1.3
% 41.74/41.94  # SZS status Theorem
% 41.74/41.94  # SZS output start CNFRefutation
% See solution above
% 41.74/41.94  
% 41.74/41.94  # Initial clauses    : 119
% 41.74/41.94  # Processed clauses  : 1408
% 41.74/41.94  # Factors computed   : 3
% 41.74/41.94  # Resolvents computed: 54474
% 41.74/41.94  # Tautologies deleted: 6
% 41.74/41.94  # Forward subsumed   : 1997
% 41.74/41.94  # Backward subsumed  : 98
% 41.74/41.94  # -------- CPU Time ---------
% 41.74/41.94  # User time          : 41.458 s
% 41.74/41.94  # System time        : 0.129 s
% 41.74/41.94  # Total time         : 41.587 s
%------------------------------------------------------------------------------