TSTP Solution File: SET506-6 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET506-6 : TPTP v8.1.0. 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 : 600s
% DateTime : Tue Jul 19 04:38:13 EDT 2022
% Result : Unsatisfiable 3.21s 3.39s
% Output : Refutation 3.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(omega_in_universal,axiom,
member(omega,universal_class),
input ).
cnf(complement1,axiom,
( ~ member(X62,complement(X61))
| ~ member(X62,X61) ),
input ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X6)
| ~ member(X4,X5)
| member(X4,X6) ),
input ).
cnf(prove_universal_class_not_null_class_1,negated_conjecture,
universal_class = null_class,
input ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
input ).
cnf(c45,plain,
subclass(universal_class,null_class),
inference(resolution,status(thm),[equal_implies_subclass1,prove_universal_class_not_null_class_1]) ).
cnf(c44,plain,
( ~ subclass(universal_class,X99)
| member(omega,X99) ),
inference(resolution,status(thm),[subclass_members,omega_in_universal]) ).
cnf(c135,plain,
member(omega,null_class),
inference(resolution,status(thm),[c44,c45]) ).
cnf(c140,plain,
( ~ subclass(null_class,X115)
| member(omega,X115) ),
inference(resolution,status(thm),[c135,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X14 != X15
| subclass(X15,X14) ),
input ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
input ).
cnf(regularity1,axiom,
( X130 = null_class
| member(regular(X130),X130) ),
input ).
cnf(c229,plain,
( X753 = null_class
| ~ subclass(X753,X754)
| member(regular(X753),X754) ),
inference(resolution,status(thm),[regularity1,subclass_members]) ).
cnf(c8371,plain,
( X756 = null_class
| member(regular(X756),universal_class) ),
inference(resolution,status(thm),[c229,class_elements_are_sets]) ).
cnf(c230,plain,
( complement(X760) = null_class
| ~ member(regular(complement(X760)),X760) ),
inference(resolution,status(thm),[regularity1,complement1]) ).
cnf(c8654,plain,
complement(universal_class) = null_class,
inference(resolution,status(thm),[c230,c8371]) ).
cnf(c8671,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,status(thm),[c8654,equal_implies_subclass2]) ).
cnf(c8703,plain,
member(omega,complement(universal_class)),
inference(resolution,status(thm),[c8671,c140]) ).
cnf(c8893,plain,
~ member(omega,universal_class),
inference(resolution,status(thm),[c8703,complement1]) ).
cnf(c8904,plain,
$false,
inference(resolution,status(thm),[c8893,omega_in_universal]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 09:53:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.21/3.39 # Version: 1.3
% 3.21/3.39 # SZS status Unsatisfiable
% 3.21/3.39 # SZS output start CNFRefutation
% See solution above
% 3.21/3.39
% 3.21/3.39 # Initial clauses : 160
% 3.21/3.39 # Processed clauses : 746
% 3.21/3.39 # Factors computed : 2
% 3.21/3.39 # Resolvents computed: 8859
% 3.21/3.39 # Tautologies deleted: 8
% 3.21/3.39 # Forward subsumed : 298
% 3.21/3.39 # Backward subsumed : 5
% 3.21/3.39 # -------- CPU Time ---------
% 3.21/3.39 # User time : 3.007 s
% 3.21/3.39 # System time : 0.029 s
% 3.21/3.39 # Total time : 3.036 s
%------------------------------------------------------------------------------