TSTP Solution File: SET096-7 by PyRes---1.3
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%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 : 600s
% DateTime : Tue Jul 19 04:35:39 EDT 2022
% Result : Unsatisfiable 31.65s 31.85s
% Output : Refutation 31.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
singleton(y) != x,
input ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X28,X27)
| ~ subclass(X27,X28)
| X28 = X27 ),
input ).
cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
subclass(x,singleton(y)),
input ).
cnf(c59,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) ),
input ).
cnf(c2,plain,
( X313 != X314
| singleton(X313) = singleton(X314) ),
eq_axiom ).
cnf(only_member_in_singleton,axiom,
( ~ member(X94,singleton(X95))
| X94 = X95 ),
input ).
cnf(subclass_members,axiom,
( ~ subclass(X6,X5)
| ~ member(X7,X6)
| member(X7,X5) ),
input ).
cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
x != null_class,
input ).
cnf(regularity1,axiom,
( X167 = null_class
| member(regular(X167),X167) ),
input ).
cnf(c261,plain,
member(regular(x),x),
inference(resolution,status(thm),[regularity1,prove_two_subsets_of_singleton_2]) ).
cnf(c287,plain,
( ~ subclass(x,X435)
| member(regular(x),X435) ),
inference(resolution,status(thm),[c261,subclass_members]) ).
cnf(c1533,plain,
member(regular(x),singleton(y)),
inference(resolution,status(thm),[c287,prove_two_subsets_of_singleton_1]) ).
cnf(c1547,plain,
regular(x) = y,
inference(resolution,status(thm),[c1533,only_member_in_singleton]) ).
cnf(c1577,plain,
singleton(regular(x)) = singleton(y),
inference(resolution,status(thm),[c1547,c2]) ).
cnf(c4266,plain,
subclass(singleton(y),singleton(regular(x))),
inference(resolution,status(thm),[c1577,equal_implies_subclass2]) ).
cnf(property_of_singletons2,axiom,
( ~ member(X100,X99)
| subclass(singleton(X100),X99) ),
input ).
cnf(c285,plain,
subclass(singleton(regular(x)),x),
inference(resolution,status(thm),[c261,property_of_singletons2]) ).
cnf(transitivity_of_subclass,axiom,
( ~ subclass(X279,X278)
| ~ subclass(X278,X280)
| subclass(X279,X280) ),
input ).
cnf(c690,plain,
( ~ subclass(X3498,singleton(regular(x)))
| subclass(X3498,x) ),
inference(resolution,status(thm),[transitivity_of_subclass,c285]) ).
cnf(c46861,plain,
subclass(singleton(y),x),
inference(resolution,status(thm),[c690,c4266]) ).
cnf(c46907,plain,
singleton(y) = x,
inference(resolution,status(thm),[c46861,c59]) ).
cnf(c46952,plain,
$false,
inference(resolution,status(thm),[c46907,prove_two_subsets_of_singleton_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 09:01:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 31.65/31.85 # Version: 1.3
% 31.65/31.85 # SZS status Unsatisfiable
% 31.65/31.85 # SZS output start CNFRefutation
% See solution above
% 31.65/31.85
% 31.65/31.85 # Initial clauses : 186
% 31.65/31.85 # Processed clauses : 1501
% 31.65/31.85 # Factors computed : 6
% 31.65/31.85 # Resolvents computed: 46995
% 31.65/31.85 # Tautologies deleted: 13
% 31.65/31.85 # Forward subsumed : 1678
% 31.65/31.85 # Backward subsumed : 18
% 31.65/31.85 # -------- CPU Time ---------
% 31.65/31.85 # User time : 31.397 s
% 31.65/31.85 # System time : 0.100 s
% 31.65/31.85 # Total time : 31.497 s
%------------------------------------------------------------------------------