TSTP Solution File: SET024-7 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET024-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 1.24s 1.44s
% Output : Refutation 1.24s
% 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,
( X17 != X16
| subclass(X17,X16) ),
input ).
cnf(singleton_set,axiom,
unordered_pair(X50,X50) = singleton(X50),
input ).
cnf(c66,plain,
subclass(unordered_pair(X66,X66),singleton(X66)),
inference(resolution,status(thm),[singleton_set,equal_implies_subclass1]) ).
cnf(subclass_members,axiom,
( ~ subclass(X7,X5)
| ~ member(X6,X7)
| member(X6,X5) ),
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,X46)) ),
input ).
cnf(c62,plain,
member(x,unordered_pair(x,X61)),
inference(resolution,status(thm),[unordered_pair2,prove_set_in_its_singleton_1]) ).
cnf(c80,plain,
( ~ subclass(unordered_pair(x,X529),X528)
| member(x,X528) ),
inference(resolution,status(thm),[c62,subclass_members]) ).
cnf(c2385,plain,
member(x,singleton(x)),
inference(resolution,status(thm),[c80,c66]) ).
cnf(c2427,plain,
$false,
inference(resolution,status(thm),[c2385,prove_set_in_its_singleton_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET024-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 08:05:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.24/1.44 # Version: 1.3
% 1.24/1.44 # SZS status Unsatisfiable
% 1.24/1.44 # SZS output start CNFRefutation
% See solution above
% 1.24/1.44
% 1.24/1.44 # Initial clauses : 165
% 1.24/1.44 # Processed clauses : 318
% 1.24/1.44 # Factors computed : 2
% 1.24/1.44 # Resolvents computed: 2387
% 1.24/1.44 # Tautologies deleted: 10
% 1.24/1.44 # Forward subsumed : 142
% 1.24/1.44 # Backward subsumed : 2
% 1.24/1.44 # -------- CPU Time ---------
% 1.24/1.44 # User time : 1.068 s
% 1.24/1.44 # System time : 0.012 s
% 1.24/1.44 # Total time : 1.080 s
%------------------------------------------------------------------------------