%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET257-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 04:36:54 EDT 2022

% Result   : Unsatisfiable 49.33s 49.53s
% Output   : Refutation 49.33s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_restriction_property5_1,negated_conjecture,
    restrict(cross_product(x,y),x,y) != cross_product(x,y),
    input ).

cnf(symmetry,axiom,
    ( X40 != X39
    | X39 = X40 ),
    eq_axiom ).

cnf(restriction2,axiom,
    intersection(cross_product(X164,X162),X163) = restrict(X163,X164,X162),
    input ).

cnf(c279,plain,
    restrict(X772,X771,X770) = intersection(cross_product(X771,X770),X772),
    inference(resolution,status(thm),[restriction2,symmetry]) ).

cnf(transitivity,axiom,
    ( X195 != X194
    | X194 != X193
    | X195 = X193 ),
    eq_axiom ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X32,X31)
    | ~ subclass(X31,X32)
    | X32 = X31 ),
    input ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X22,X21),X21)
    | subclass(X22,X21) ),
    input ).

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

cnf(intersection1,axiom,
    ( ~ member(X113,intersection(X115,X114))
    | member(X113,X115) ),
    input ).

cnf(c150,plain,
    ( member(not_subclass_element(intersection(X899,X897),X898),X899)
    | subclass(intersection(X899,X897),X898) ),
    inference(resolution,status(thm),[intersection1,not_subclass_members1]) ).

cnf(c7961,plain,
    subclass(intersection(X901,X900),X901),
    inference(resolution,status(thm),[c150,not_subclass_members2]) ).

cnf(c7970,plain,
    ( ~ subclass(X1564,intersection(X1564,X1565))
    | X1564 = intersection(X1564,X1565) ),
    inference(resolution,status(thm),[c7961,subclass_implies_equal]) ).

cnf(intersection3,axiom,
    ( ~ member(X121,X123)
    | ~ member(X121,X122)
    | member(X121,intersection(X123,X122)) ),
    input ).

cnf(c169,plain,
    ( ~ member(not_subclass_element(X940,X941),X942)
    | member(not_subclass_element(X940,X941),intersection(X942,X940))
    | subclass(X940,X941) ),
    inference(resolution,status(thm),[intersection3,not_subclass_members1]) ).

cnf(c8415,plain,
    ( member(not_subclass_element(X1608,X1609),intersection(X1608,X1608))
    | subclass(X1608,X1609) ),
    inference(resolution,status(thm),[c169,not_subclass_members1]) ).

cnf(c29245,plain,
    subclass(X1610,intersection(X1610,X1610)),
    inference(resolution,status(thm),[c8415,not_subclass_members2]) ).

cnf(c29349,plain,
    X1612 = intersection(X1612,X1612),
    inference(resolution,status(thm),[c29245,c7970]) ).

cnf(c29460,plain,
    intersection(X1615,X1615) = X1615,
    inference(resolution,status(thm),[c29349,symmetry]) ).

cnf(c29534,plain,
    ( X1685 != intersection(X1684,X1684)
    | X1685 = X1684 ),
    inference(resolution,status(thm),[c29460,transitivity]) ).

cnf(c33183,plain,
    restrict(cross_product(X3163,X3164),X3163,X3164) = cross_product(X3163,X3164),
    inference(resolution,status(thm),[c29534,c279]) ).

cnf(c63677,plain,
    $false,
    inference(resolution,status(thm),[c33183,prove_restriction_property5_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET257-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n022.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 09:24:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 49.33/49.53  # Version:  1.3
% 49.33/49.53  # SZS status Unsatisfiable
% 49.33/49.53  # SZS output start CNFRefutation
% See solution above
% 49.33/49.53  
% 49.33/49.53  # Initial clauses    : 160
% 49.33/49.53  # Processed clauses  : 2232
% 49.33/49.53  # Factors computed   : 5
% 49.33/49.53  # Resolvents computed: 63636
% 49.33/49.53  # Tautologies deleted: 15
% 49.33/49.53  # Forward subsumed   : 1295
% 49.33/49.53  # Backward subsumed  : 24
% 49.33/49.53  # -------- CPU Time ---------
% 49.33/49.53  # User time          : 49.026 s
% 49.33/49.53  # System time        : 0.151 s
% 49.33/49.53  # Total time         : 49.177 s
%------------------------------------------------------------------------------