TSTP Solution File: SET203-6 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 04:36:37 EDT 2022
% Result : Unsatisfiable 20.09s 20.31s
% Output : Refutation 20.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_to_X_product_property1_3,negated_conjecture,
~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
input ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
input ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X4)
| ~ member(X6,X5)
| member(X6,X4) ),
input ).
cnf(prove_corollary_to_X_product_property1_1,negated_conjecture,
member(u,x),
input ).
cnf(c45,plain,
( ~ subclass(x,X95)
| member(u,X95) ),
inference(resolution,status(thm),[prove_corollary_to_X_product_property1_1,subclass_members]) ).
cnf(c126,plain,
member(u,universal_class),
inference(resolution,status(thm),[c45,class_elements_are_sets]) ).
cnf(cartesian_product3,axiom,
( ~ member(X94,X93)
| ~ member(X92,X91)
| member(ordered_pair(X94,X92),cross_product(X93,X91)) ),
input ).
cnf(prove_corollary_to_X_product_property1_2,negated_conjecture,
member(v,y),
input ).
cnf(c46,plain,
( ~ subclass(y,X101)
| member(v,X101) ),
inference(resolution,status(thm),[prove_corollary_to_X_product_property1_2,subclass_members]) ).
cnf(c140,plain,
member(v,universal_class),
inference(resolution,status(thm),[c46,class_elements_are_sets]) ).
cnf(c143,plain,
( ~ member(X851,X850)
| member(ordered_pair(X851,v),cross_product(X850,universal_class)) ),
inference(resolution,status(thm),[c140,cartesian_product3]) ).
cnf(c7590,plain,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
inference(resolution,status(thm),[c143,c126]) ).
cnf(c43502,plain,
$false,
inference(resolution,status(thm),[c7590,prove_corollary_to_X_product_property1_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 06:00:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 20.09/20.31 # Version: 1.3
% 20.09/20.31 # SZS status Unsatisfiable
% 20.09/20.31 # SZS output start CNFRefutation
% See solution above
% 20.09/20.31
% 20.09/20.31 # Initial clauses : 162
% 20.09/20.31 # Processed clauses : 1276
% 20.09/20.31 # Factors computed : 5
% 20.09/20.31 # Resolvents computed: 43493
% 20.09/20.31 # Tautologies deleted: 10
% 20.09/20.31 # Forward subsumed : 728
% 20.09/20.31 # Backward subsumed : 2
% 20.09/20.31 # -------- CPU Time ---------
% 20.09/20.31 # User time : 19.812 s
% 20.09/20.31 # System time : 0.103 s
% 20.09/20.31 # Total time : 19.915 s
%------------------------------------------------------------------------------