%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET231-6 : TPTP v8.1.2. 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  : 300s
% DateTime : Thu May  9 17:39:25 EDT 2024

% Result   : Unsatisfiable 1.96s 2.20s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   2 nHn;   5 RR)
%            Number of literals    :   10 (   3 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_cross_product_property6_1,negated_conjecture,
    ~ subclass(cross_product(x,y),z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).

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),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X14,X15),X14)
    | subclass(X14,X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(cartesian_product4,axiom,
    ( ~ member(X99,cross_product(X100,X101))
    | ordered_pair(first(X99),second(X99)) = X99 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product4) ).

cnf(c136,plain,
    ( ordered_pair(first(not_subclass_element(cross_product(X852,X853),X854)),second(not_subclass_element(cross_product(X852,X853),X854))) = not_subclass_element(cross_product(X852,X853),X854)
    | subclass(cross_product(X852,X853),X854) ),
    inference(resolution,[status(thm)],[cartesian_product4,not_subclass_members1]) ).

cnf(c6438,plain,
    subclass(cross_product(x,y),z),
    inference(resolution,[status(thm)],[c136,prove_cross_product_property6_2]) ).

cnf(c6456,plain,
    $false,
    inference(resolution,[status(thm)],[c6438,prove_cross_product_property6_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET231-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33  % Computer : n015.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed May  8 18:40:38 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 1.96/2.20  % Version:  1.5
% 1.96/2.20  % SZS status Unsatisfiable
% 1.96/2.20  % SZS output start CNFRefutation
% See solution above
% 1.96/2.20  
% 1.96/2.20  % Initial clauses    : 161
% 1.96/2.20  % Processed clauses  : 471
% 1.96/2.20  % Factors computed   : 29
% 1.96/2.20  % Resolvents computed: 6388
% 1.96/2.20  % Tautologies deleted: 9
% 1.96/2.20  % Forward subsumed   : 277
% 1.96/2.20  % Backward subsumed  : 4
% 1.96/2.20  % -------- CPU Time ---------
% 1.96/2.20  % User time          : 1.845 s
% 1.96/2.20  % System time        : 0.017 s
% 1.96/2.20  % Total time         : 1.862 s
%------------------------------------------------------------------------------