TSTP Solution File: SET075-6 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 04:35:18 EDT 2022
% Result : Unsatisfiable 2.31s 2.49s
% Output : Refutation 2.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
input ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X6)
| ~ member(X4,X5)
| member(X4,X6) ),
input ).
cnf(cartesian_product2,axiom,
( ~ member(ordered_pair(X84,X87),cross_product(X85,X86))
| member(X87,X86) ),
input ).
cnf(prove_corollary_to_unordered_pair_axiom3_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
input ).
cnf(c1588,plain,
member(y,v),
inference(resolution,status(thm),[prove_corollary_to_unordered_pair_axiom3_1,cartesian_product2]) ).
cnf(c1593,plain,
( ~ subclass(v,X391)
| member(y,X391) ),
inference(resolution,status(thm),[c1588,subclass_members]) ).
cnf(c1671,plain,
member(y,universal_class),
inference(resolution,status(thm),[c1593,class_elements_are_sets]) ).
cnf(complement1,axiom,
( ~ member(X53,complement(X54))
| ~ member(X53,X54) ),
input ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
input ).
cnf(prove_corollary_to_unordered_pair_axiom3_2,negated_conjecture,
unordered_pair(x,y) = null_class,
input ).
cnf(c79,plain,
subclass(unordered_pair(x,y),null_class),
inference(resolution,status(thm),[prove_corollary_to_unordered_pair_axiom3_2,equal_implies_subclass1]) ).
cnf(unordered_pair3,axiom,
( ~ member(X57,universal_class)
| member(X57,unordered_pair(X56,X57)) ),
input ).
cnf(c1705,plain,
member(y,unordered_pair(X396,y)),
inference(resolution,status(thm),[c1671,unordered_pair3]) ).
cnf(c1739,plain,
( ~ subclass(unordered_pair(X580,y),X579)
| member(y,X579) ),
inference(resolution,status(thm),[c1705,subclass_members]) ).
cnf(c4272,plain,
member(y,null_class),
inference(resolution,status(thm),[c1739,c79]) ).
cnf(c4275,plain,
( ~ subclass(null_class,X582)
| member(y,X582) ),
inference(resolution,status(thm),[c4272,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X12 != X13
| subclass(X13,X12) ),
input ).
cnf(regularity1,axiom,
( X118 = null_class
| member(regular(X118),X118) ),
input ).
cnf(c182,plain,
( X759 = null_class
| ~ subclass(X759,X760)
| member(regular(X759),X760) ),
inference(resolution,status(thm),[regularity1,subclass_members]) ).
cnf(c6240,plain,
( X763 = null_class
| member(regular(X763),universal_class) ),
inference(resolution,status(thm),[c182,class_elements_are_sets]) ).
cnf(c184,plain,
( complement(X771) = null_class
| ~ member(regular(complement(X771)),X771) ),
inference(resolution,status(thm),[regularity1,complement1]) ).
cnf(c6669,plain,
complement(universal_class) = null_class,
inference(resolution,status(thm),[c184,c6240]) ).
cnf(c6698,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,status(thm),[c6669,equal_implies_subclass2]) ).
cnf(c6716,plain,
member(y,complement(universal_class)),
inference(resolution,status(thm),[c6698,c4275]) ).
cnf(c6772,plain,
~ member(y,universal_class),
inference(resolution,status(thm),[c6716,complement1]) ).
cnf(c6833,plain,
$false,
inference(resolution,status(thm),[c6772,c1671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n015.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 15:32:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.31/2.49 # Version: 1.3
% 2.31/2.49 # SZS status Unsatisfiable
% 2.31/2.49 # SZS output start CNFRefutation
% See solution above
% 2.31/2.49
% 2.31/2.49 # Initial clauses : 135
% 2.31/2.49 # Processed clauses : 495
% 2.31/2.49 # Factors computed : 1
% 2.31/2.49 # Resolvents computed: 6795
% 2.31/2.49 # Tautologies deleted: 10
% 2.31/2.49 # Forward subsumed : 222
% 2.31/2.49 # Backward subsumed : 1
% 2.31/2.49 # -------- CPU Time ---------
% 2.31/2.49 # User time : 2.112 s
% 2.31/2.49 # System time : 0.028 s
% 2.31/2.49 # Total time : 2.140 s
%------------------------------------------------------------------------------