%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:39:11 EDT 2024
% Result : Unsatisfiable 36.50s 36.71s
% Output : Refutation 36.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 12 unt; 1 nHn; 22 RR)
% Number of literals : 37 ( 12 equ; 15 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X28,X27)
| ~ subclass(X27,X28)
| X28 = X27 ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
cnf(c60,plain,
( ~ subclass(singleton(y),x)
| singleton(y) = x ),
inference(resolution,[status(thm)],[prove_two_subsets_of_singleton_1,subclass_implies_equal]) ).
cnf(equal_implies_subclass2,axiom,
( X23 != X22
| subclass(X22,X23) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(c2,axiom,
( X324 != X323
| singleton(X324) = singleton(X323) ),
theory(equality) ).
cnf(only_member_in_singleton,axiom,
( ~ member(X95,singleton(X96))
| X95 = X96 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).
cnf(subclass_members,axiom,
( ~ subclass(X7,X6)
| ~ member(X5,X7)
| member(X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
cnf(regularity1,axiom,
( X171 = null_class
| member(regular(X171),X171) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c265,plain,
member(regular(x),x),
inference(resolution,[status(thm)],[regularity1,prove_two_subsets_of_singleton_2]) ).
cnf(c289,plain,
( ~ subclass(x,X449)
| member(regular(x),X449) ),
inference(resolution,[status(thm)],[c265,subclass_members]) ).
cnf(c1615,plain,
member(regular(x),singleton(y)),
inference(resolution,[status(thm)],[c289,prove_two_subsets_of_singleton_1]) ).
cnf(c1632,plain,
regular(x) = y,
inference(resolution,[status(thm)],[c1615,only_member_in_singleton]) ).
cnf(c1651,plain,
singleton(regular(x)) = singleton(y),
inference(resolution,[status(thm)],[c1632,c2]) ).
cnf(c4889,plain,
subclass(singleton(y),singleton(regular(x))),
inference(resolution,[status(thm)],[c1651,equal_implies_subclass2]) ).
cnf(property_of_singletons2,axiom,
( ~ member(X101,X100)
| subclass(singleton(X101),X100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singletons2) ).
cnf(c291,plain,
subclass(singleton(regular(x)),x),
inference(resolution,[status(thm)],[c265,property_of_singletons2]) ).
cnf(transitivity_of_subclass,axiom,
( ~ subclass(X290,X288)
| ~ subclass(X288,X289)
| subclass(X290,X289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_subclass) ).
cnf(c774,plain,
( ~ subclass(X3758,singleton(regular(x)))
| subclass(X3758,x) ),
inference(resolution,[status(thm)],[transitivity_of_subclass,c291]) ).
cnf(c53699,plain,
subclass(singleton(y),x),
inference(resolution,[status(thm)],[c774,c4889]) ).
cnf(c53791,plain,
singleton(y) = x,
inference(resolution,[status(thm)],[c53699,c60]) ).
cnf(c53837,plain,
$false,
inference(resolution,[status(thm)],[c53791,prove_two_subsets_of_singleton_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:49:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 36.50/36.71 % Version: 1.5
% 36.50/36.71 % SZS status Unsatisfiable
% 36.50/36.71 % SZS output start CNFRefutation
% See solution above
% 36.50/36.71
% 36.50/36.71 % Initial clauses : 186
% 36.50/36.71 % Processed clauses : 1587
% 36.50/36.71 % Factors computed : 38
% 36.50/36.71 % Resolvents computed: 53853
% 36.50/36.71 % Tautologies deleted: 15
% 36.50/36.71 % Forward subsumed : 1926
% 36.50/36.71 % Backward subsumed : 24
% 36.50/36.71 % -------- CPU Time ---------
% 36.50/36.71 % User time : 36.232 s
% 36.50/36.71 % System time : 0.112 s
% 36.50/36.71 % Total time : 36.344 s
%------------------------------------------------------------------------------