%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET231-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 04:36:46 EDT 2022

% Result   : Unsatisfiable 2.37s 2.58s
% Output   : Refutation 2.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cross_product_property6_1,negated_conjecture,
    ~ subclass(cross_product(x,y),z),
    input ).

cnf(prove_cross_product_property6_2,negated_conjecture,
    ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z),
    input ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X15,X14),X15)
    | subclass(X15,X14) ),
    input ).

cnf(cartesian_product4,axiom,
    ( ~ member(X100,cross_product(X101,X99))
    | ordered_pair(first(X100),second(X100)) = X100 ),
    input ).

cnf(c137,plain,
    ( ordered_pair(first(not_subclass_element(cross_product(X879,X880),X881)),second(not_subclass_element(cross_product(X879,X880),X881))) = not_subclass_element(cross_product(X879,X880),X881)
    | subclass(cross_product(X879,X880),X881) ),
    inference(resolution,status(thm),[cartesian_product4,not_subclass_members1]) ).

cnf(c7545,plain,
    subclass(cross_product(x,y),z),
    inference(resolution,status(thm),[c137,prove_cross_product_property6_2]) ).

cnf(c7591,plain,
    $false,
    inference(resolution,status(thm),[c7545,prove_cross_product_property6_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET231-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n020.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 04:55:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.37/2.58  # Version:  1.3
% 2.37/2.58  # SZS status Unsatisfiable
% 2.37/2.58  # SZS output start CNFRefutation
% See solution above
% 2.37/2.58  
% 2.37/2.58  # Initial clauses    : 161
% 2.37/2.58  # Processed clauses  : 506
% 2.37/2.58  # Factors computed   : 1
% 2.37/2.58  # Resolvents computed: 7548
% 2.37/2.58  # Tautologies deleted: 8
% 2.37/2.58  # Forward subsumed   : 237
% 2.37/2.58  # Backward subsumed  : 1
% 2.37/2.58  # -------- CPU Time ---------
% 2.37/2.58  # User time          : 2.216 s
% 2.37/2.58  # System time        : 0.026 s
% 2.37/2.58  # Total time         : 2.242 s
%------------------------------------------------------------------------------