TSTP Solution File: SET075-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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 04:35:18 EDT 2022

% Result   : Unsatisfiable 2.31s 2.49s
% Output   : Refutation 2.31s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
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_product2,axiom,
    ( ~ member(ordered_pair(X84,X87),cross_product(X85,X86))
    | member(X87,X86) ),
    input ).

cnf(prove_corollary_to_unordered_pair_axiom3_1,negated_conjecture,
    member(ordered_pair(x,y),cross_product(u,v)),
    input ).

cnf(c1588,plain,
    member(y,v),
    inference(resolution,status(thm),[prove_corollary_to_unordered_pair_axiom3_1,cartesian_product2]) ).

cnf(c1593,plain,
    ( ~ subclass(v,X391)
    | member(y,X391) ),
    inference(resolution,status(thm),[c1588,subclass_members]) ).

cnf(c1671,plain,
    member(y,universal_class),
    inference(resolution,status(thm),[c1593,class_elements_are_sets]) ).

cnf(complement1,axiom,
    ( ~ member(X53,complement(X54))
    | ~ member(X53,X54) ),
    input ).

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

cnf(prove_corollary_to_unordered_pair_axiom3_2,negated_conjecture,
    unordered_pair(x,y) = null_class,
    input ).

cnf(c79,plain,
    subclass(unordered_pair(x,y),null_class),
    inference(resolution,status(thm),[prove_corollary_to_unordered_pair_axiom3_2,equal_implies_subclass1]) ).

cnf(unordered_pair3,axiom,
    ( ~ member(X57,universal_class)
    | member(X57,unordered_pair(X56,X57)) ),
    input ).

cnf(c1705,plain,
    member(y,unordered_pair(X396,y)),
    inference(resolution,status(thm),[c1671,unordered_pair3]) ).

cnf(c1739,plain,
    ( ~ subclass(unordered_pair(X580,y),X579)
    | member(y,X579) ),
    inference(resolution,status(thm),[c1705,subclass_members]) ).

cnf(c4272,plain,
    member(y,null_class),
    inference(resolution,status(thm),[c1739,c79]) ).

cnf(c4275,plain,
    ( ~ subclass(null_class,X582)
    | member(y,X582) ),
    inference(resolution,status(thm),[c4272,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X12 != X13
    | subclass(X13,X12) ),
    input ).

cnf(regularity1,axiom,
    ( X118 = null_class
    | member(regular(X118),X118) ),
    input ).

cnf(c182,plain,
    ( X759 = null_class
    | ~ subclass(X759,X760)
    | member(regular(X759),X760) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c6240,plain,
    ( X763 = null_class
    | member(regular(X763),universal_class) ),
    inference(resolution,status(thm),[c182,class_elements_are_sets]) ).

cnf(c184,plain,
    ( complement(X771) = null_class
    | ~ member(regular(complement(X771)),X771) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

cnf(c6669,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c184,c6240]) ).

cnf(c6698,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,status(thm),[c6669,equal_implies_subclass2]) ).

cnf(c6716,plain,
    member(y,complement(universal_class)),
    inference(resolution,status(thm),[c6698,c4275]) ).

cnf(c6772,plain,
    ~ member(y,universal_class),
    inference(resolution,status(thm),[c6716,complement1]) ).

cnf(c6833,plain,
    $false,
    inference(resolution,status(thm),[c6772,c1671]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n015.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 15:32:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.31/2.49  # Version:  1.3
% 2.31/2.49  # SZS status Unsatisfiable
% 2.31/2.49  # SZS output start CNFRefutation
% See solution above
% 2.31/2.49  
% 2.31/2.49  # Initial clauses    : 135
% 2.31/2.49  # Processed clauses  : 495
% 2.31/2.49  # Factors computed   : 1
% 2.31/2.49  # Resolvents computed: 6795
% 2.31/2.49  # Tautologies deleted: 10
% 2.31/2.49  # Forward subsumed   : 222
% 2.31/2.49  # Backward subsumed  : 1
% 2.31/2.49  # -------- CPU Time ---------
% 2.31/2.49  # User time          : 2.112 s
% 2.31/2.49  # System time        : 0.028 s
% 2.31/2.49  # Total time         : 2.140 s
%------------------------------------------------------------------------------