%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:39:07 EDT 2024
% Result : Unsatisfiable 0.93s 1.08s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 11 RR)
% Number of literals : 23 ( 2 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_null_class_in_its_singleton_1) ).
cnf(equal_implies_subclass1,axiom,
( X10 != X9
| subclass(X10,X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(singleton_set,axiom,
unordered_pair(X44,X44) = singleton(X44),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(c55,plain,
subclass(unordered_pair(X46,X46),singleton(X46)),
inference(resolution,[status(thm)],[singleton_set,equal_implies_subclass1]) ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X4)
| ~ member(X6,X5)
| member(X6,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(unordered_pair2,axiom,
( ~ member(X49,universal_class)
| member(X49,unordered_pair(X49,X48)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(inductive1,axiom,
( ~ inductive(X19)
| member(null_class,X19) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(c44,plain,
member(null_class,omega),
inference(resolution,[status(thm)],[inductive1,omega_is_inductive1]) ).
cnf(c45,plain,
( ~ subclass(omega,X89)
| member(null_class,X89) ),
inference(resolution,[status(thm)],[c44,subclass_members]) ).
cnf(c109,plain,
member(null_class,universal_class),
inference(resolution,[status(thm)],[c45,class_elements_are_sets]) ).
cnf(c112,plain,
member(null_class,unordered_pair(null_class,X94)),
inference(resolution,[status(thm)],[c109,unordered_pair2]) ).
cnf(c125,plain,
( ~ subclass(unordered_pair(null_class,X345),X346)
| member(null_class,X346) ),
inference(resolution,[status(thm)],[c112,subclass_members]) ).
cnf(c1556,plain,
member(null_class,singleton(null_class)),
inference(resolution,[status(thm)],[c125,c55]) ).
cnf(c1565,plain,
$false,
inference(resolution,[status(thm)],[c1556,prove_null_class_in_its_singleton_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET080-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 18:53:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.93/1.08 % Version: 1.5
% 0.93/1.08 % SZS status Unsatisfiable
% 0.93/1.08 % SZS output start CNFRefutation
% See solution above
% 0.93/1.08
% 0.93/1.08 % Initial clauses : 134
% 0.93/1.08 % Processed clauses : 230
% 0.93/1.08 % Factors computed : 6
% 0.93/1.08 % Resolvents computed: 1521
% 0.93/1.08 % Tautologies deleted: 9
% 0.93/1.08 % Forward subsumed : 88
% 0.93/1.08 % Backward subsumed : 1
% 0.93/1.08 % -------- CPU Time ---------
% 0.93/1.08 % User time : 0.700 s
% 0.93/1.08 % System time : 0.013 s
% 0.93/1.08 % Total time : 0.713 s
%------------------------------------------------------------------------------