%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET063-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 17:39:03 EDT 2024
% Result : Unsatisfiable 2.25s 2.42s
% Output : Refutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 11 unt; 3 nHn; 17 RR)
% Number of literals : 31 ( 7 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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,X4)
| ~ member(X5,X6)
| member(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(prove_corollary_of_null_class_is_subclass_2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
cnf(regularity1,axiom,
( X122 = null_class
| member(regular(X122),X122) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c170,plain,
member(regular(x),x),
inference(resolution,[status(thm)],[regularity1,prove_corollary_of_null_class_is_subclass_2]) ).
cnf(c189,plain,
( ~ subclass(x,X279)
| member(regular(x),X279) ),
inference(resolution,[status(thm)],[c170,subclass_members]) ).
cnf(c898,plain,
member(regular(x),universal_class),
inference(resolution,[status(thm)],[c189,class_elements_are_sets]) ).
cnf(complement1,axiom,
( ~ member(X58,complement(X57))
| ~ member(X58,X57) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(prove_corollary_of_null_class_is_subclass_1,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
cnf(c897,plain,
member(regular(x),null_class),
inference(resolution,[status(thm)],[c189,prove_corollary_of_null_class_is_subclass_1]) ).
cnf(c904,plain,
( ~ subclass(null_class,X322)
| member(regular(x),X322) ),
inference(resolution,[status(thm)],[c897,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X15 != X14
| subclass(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(c181,plain,
( complement(X805) = null_class
| ~ member(regular(complement(X805)),X805) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(c182,plain,
( X811 = null_class
| ~ subclass(X811,X810)
| member(regular(X811),X810) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c6535,plain,
( X813 = null_class
| member(regular(X813),universal_class) ),
inference(resolution,[status(thm)],[c182,class_elements_are_sets]) ).
cnf(c6595,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c6535,c181]) ).
cnf(c6629,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c6595,equal_implies_subclass2]) ).
cnf(c6650,plain,
member(regular(x),complement(universal_class)),
inference(resolution,[status(thm)],[c6629,c904]) ).
cnf(c6904,plain,
~ member(regular(x),universal_class),
inference(resolution,[status(thm)],[c6650,complement1]) ).
cnf(c6912,plain,
$false,
inference(resolution,[status(thm)],[c6904,c898]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET063-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 19:12:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 2.25/2.42 % Version: 1.5
% 2.25/2.42 % SZS status Unsatisfiable
% 2.25/2.42 % SZS output start CNFRefutation
% See solution above
% 2.25/2.42
% 2.25/2.42 % Initial clauses : 135
% 2.25/2.42 % Processed clauses : 475
% 2.25/2.42 % Factors computed : 31
% 2.25/2.42 % Resolvents computed: 6843
% 2.25/2.42 % Tautologies deleted: 9
% 2.25/2.42 % Forward subsumed : 286
% 2.25/2.42 % Backward subsumed : 4
% 2.25/2.42 % -------- CPU Time ---------
% 2.25/2.42 % User time : 2.052 s
% 2.25/2.42 % System time : 0.028 s
% 2.25/2.42 % Total time : 2.080 s
%------------------------------------------------------------------------------