%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET052-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:38:59 EDT 2024
% Result : Unsatisfiable 1.05s 1.22s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_1_to_cartesian_product_2,negated_conjecture,
~ member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_cartesian_product_2) ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(subclass_members,axiom,
( ~ subclass(X6,X5)
| ~ member(X4,X6)
| member(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X74,X73),cross_product(X76,X75))
| member(X74,X76) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(prove_corollary_1_to_cartesian_product_1,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_cartesian_product_1) ).
cnf(c1616,plain,
member(u,x),
inference(resolution,[status(thm)],[prove_corollary_1_to_cartesian_product_1,cartesian_product1]) ).
cnf(c1625,plain,
( ~ subclass(x,X388)
| member(u,X388) ),
inference(resolution,[status(thm)],[c1616,subclass_members]) ).
cnf(c1745,plain,
member(u,universal_class),
inference(resolution,[status(thm)],[c1625,class_elements_are_sets]) ).
cnf(c1752,plain,
$false,
inference(resolution,[status(thm)],[c1745,prove_corollary_1_to_cartesian_product_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET052-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 19:18:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 1.05/1.22 % Version: 1.5
% 1.05/1.22 % SZS status Unsatisfiable
% 1.05/1.22 % SZS output start CNFRefutation
% See solution above
% 1.05/1.22
% 1.05/1.22 % Initial clauses : 135
% 1.05/1.22 % Processed clauses : 265
% 1.05/1.22 % Factors computed : 9
% 1.05/1.22 % Resolvents computed: 1740
% 1.05/1.22 % Tautologies deleted: 9
% 1.05/1.22 % Forward subsumed : 98
% 1.05/1.22 % Backward subsumed : 1
% 1.05/1.22 % -------- CPU Time ---------
% 1.05/1.22 % User time : 0.845 s
% 1.05/1.22 % System time : 0.018 s
% 1.05/1.22 % Total time : 0.863 s
%------------------------------------------------------------------------------