TSTP Solution File: SET050-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 04:34:51 EDT 2022

% Result   : Unsatisfiable 0.91s 1.10s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_1_to_unordered_pair_2,negated_conjecture,
    ~ member(x,unordered_pair(x,y)),
    input ).

cnf(unordered_pair2,axiom,
    ( ~ member(X49,universal_class)
    | member(X49,unordered_pair(X49,X50)) ),
    input ).

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    input ).

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

cnf(cartesian_product1,axiom,
    ( ~ member(ordered_pair(X73,X74),cross_product(X75,X76))
    | member(X73,X75) ),
    input ).

cnf(prove_corollary_1_to_unordered_pair_1,negated_conjecture,
    member(ordered_pair(x,y),cross_product(u,v)),
    input ).

cnf(c1615,plain,
    member(x,u),
    inference(resolution,status(thm),[prove_corollary_1_to_unordered_pair_1,cartesian_product1]) ).

cnf(c1622,plain,
    ( ~ subclass(u,X402)
    | member(x,X402) ),
    inference(resolution,status(thm),[c1615,subclass_members]) ).

cnf(c1700,plain,
    member(x,universal_class),
    inference(resolution,status(thm),[c1622,class_elements_are_sets]) ).

cnf(c1737,plain,
    member(x,unordered_pair(x,X407)),
    inference(resolution,status(thm),[c1700,unordered_pair2]) ).

cnf(c1770,plain,
    $false,
    inference(resolution,status(thm),[c1737,prove_corollary_1_to_unordered_pair_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % 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 : Sun Jul 10 02:54:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.91/1.10  # Version:  1.3
% 0.91/1.10  # SZS status Unsatisfiable
% 0.91/1.10  # SZS output start CNFRefutation
% See solution above
% 0.91/1.10  
% 0.91/1.10  # Initial clauses    : 135
% 0.91/1.10  # Processed clauses  : 280
% 0.91/1.10  # Factors computed   : 0
% 0.91/1.10  # Resolvents computed: 1764
% 0.91/1.10  # Tautologies deleted: 8
% 0.91/1.10  # Forward subsumed   : 84
% 0.91/1.10  # Backward subsumed  : 1
% 0.91/1.10  # -------- CPU Time ---------
% 0.91/1.10  # User time          : 0.738 s
% 0.91/1.10  # System time        : 0.021 s
% 0.91/1.10  # Total time         : 0.759 s
%------------------------------------------------------------------------------