TSTP Solution File: SET024-6 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET024-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 04:34:27 EDT 2022
% Result : Unsatisfiable 0.76s 0.94s
% Output : Refutation 0.76s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_set_in_its_singleton_2,negated_conjecture,
~ member(x,singleton(x)),
input ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
input ).
cnf(singleton_set,axiom,
unordered_pair(X43,X43) = singleton(X43),
input ).
cnf(c56,plain,
subclass(unordered_pair(X46,X46),singleton(X46)),
inference(resolution,status(thm),[singleton_set,equal_implies_subclass1]) ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X6)
| ~ member(X4,X5)
| member(X4,X6) ),
input ).
cnf(prove_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
input ).
cnf(unordered_pair2,axiom,
( ~ member(X47,universal_class)
| member(X47,unordered_pair(X47,X48)) ),
input ).
cnf(c63,plain,
member(x,unordered_pair(x,X52)),
inference(resolution,status(thm),[unordered_pair2,prove_set_in_its_singleton_1]) ).
cnf(c66,plain,
( ~ subclass(unordered_pair(x,X329),X328)
| member(x,X328) ),
inference(resolution,status(thm),[c63,subclass_members]) ).
cnf(c1661,plain,
member(x,singleton(x)),
inference(resolution,status(thm),[c66,c56]) ).
cnf(c1665,plain,
$false,
inference(resolution,status(thm),[c1661,prove_set_in_its_singleton_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET024-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n006.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 : 600
% 0.14/0.35 % DateTime : Sun Jul 10 15:12:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.76/0.94 # Version: 1.3
% 0.76/0.94 # SZS status Unsatisfiable
% 0.76/0.94 # SZS output start CNFRefutation
% See solution above
% 0.76/0.94
% 0.76/0.94 # Initial clauses : 135
% 0.76/0.94 # Processed clauses : 239
% 0.76/0.94 # Factors computed : 0
% 0.76/0.94 # Resolvents computed: 1629
% 0.76/0.94 # Tautologies deleted: 9
% 0.76/0.94 # Forward subsumed : 71
% 0.76/0.94 # Backward subsumed : 1
% 0.76/0.94 # -------- CPU Time ---------
% 0.76/0.94 # User time : 0.562 s
% 0.76/0.94 # System time : 0.013 s
% 0.76/0.94 # Total time : 0.575 s
%------------------------------------------------------------------------------