%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET053-6 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:38:59 EDT 2024
% Result : Unsatisfiable 0.92s 1.09s
% Output : Refutation 0.92s
% 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_2_to_cartesian_product_2,negated_conjecture,
~ member(v,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_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(X5,X4)
| ~ member(X6,X5)
| member(X6,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X87,X85),cross_product(X86,X84))
| member(X85,X84) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(prove_corollary_2_to_cartesian_product_1,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_cartesian_product_1) ).
cnf(c1618,plain,
member(v,y),
inference(resolution,[status(thm)],[prove_corollary_2_to_cartesian_product_1,cartesian_product2]) ).
cnf(c1621,plain,
( ~ subclass(y,X381)
| member(v,X381) ),
inference(resolution,[status(thm)],[c1618,subclass_members]) ).
cnf(c1664,plain,
member(v,universal_class),
inference(resolution,[status(thm)],[c1621,class_elements_are_sets]) ).
cnf(c1667,plain,
$false,
inference(resolution,[status(thm)],[c1664,prove_corollary_2_to_cartesian_product_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET053-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 18:21:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.92/1.09 % Version: 1.5
% 0.92/1.09 % SZS status Unsatisfiable
% 0.92/1.09 % SZS output start CNFRefutation
% See solution above
% 0.92/1.09
% 0.92/1.09 % Initial clauses : 135
% 0.92/1.09 % Processed clauses : 257
% 0.92/1.09 % Factors computed : 7
% 0.92/1.09 % Resolvents computed: 1634
% 0.92/1.09 % Tautologies deleted: 9
% 0.92/1.09 % Forward subsumed : 96
% 0.92/1.09 % Backward subsumed : 1
% 0.92/1.09 % -------- CPU Time ---------
% 0.92/1.09 % User time : 0.708 s
% 0.92/1.09 % System time : 0.015 s
% 0.92/1.09 % Total time : 0.723 s
%------------------------------------------------------------------------------