TSTP Solution File: SET077+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 04:35:20 EDT 2022
% Result : Theorem 41.74s 41.94s
% Output : Refutation 41.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
fof(singletons_are_sets,conjecture,
! [X] : member(singleton(X),universal_class),
input ).
fof(c26,negated_conjecture,
~ ! [X] : member(singleton(X),universal_class),
inference(assume_negation,status(cth),[singletons_are_sets]) ).
fof(c27,negated_conjecture,
? [X] : ~ member(singleton(X),universal_class),
inference(fof_nnf,status(thm),[c26]) ).
fof(c28,negated_conjecture,
? [X2] : ~ member(singleton(X2),universal_class),
inference(variable_rename,status(thm),[c27]) ).
fof(c29,negated_conjecture,
~ member(singleton(skolem0001),universal_class),
inference(skolemize,status(esa),[c28]) ).
cnf(c30,negated_conjecture,
~ member(singleton(skolem0001),universal_class),
inference(split_conjunct,status(thm),[c29]) ).
cnf(reflexivity,axiom,
X139 = X139,
eq_axiom ).
cnf(symmetry,axiom,
( X143 != X142
| X142 = X143 ),
eq_axiom ).
fof(singleton_set_defn,axiom,
! [X] : singleton(X) = unordered_pair(X,X),
input ).
fof(c226,axiom,
! [X119] : singleton(X119) = unordered_pair(X119,X119),
inference(variable_rename,status(thm),[singleton_set_defn]) ).
cnf(c227,axiom,
singleton(X164) = unordered_pair(X164,X164),
inference(split_conjunct,status(thm),[c226]) ).
cnf(c269,plain,
unordered_pair(X170,X170) = singleton(X170),
inference(resolution,status(thm),[c227,symmetry]) ).
fof(unordered_pair,axiom,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
input ).
fof(c228,axiom,
! [X120,X121] : member(unordered_pair(X120,X121),universal_class),
inference(variable_rename,status(thm),[unordered_pair]) ).
cnf(c229,axiom,
member(unordered_pair(X151,X150),universal_class),
inference(split_conjunct,status(thm),[c228]) ).
cnf(c22,plain,
( X340 != X341
| X339 != X342
| ~ member(X340,X339)
| member(X341,X342) ),
eq_axiom ).
cnf(c729,plain,
( unordered_pair(X2467,X2468) != X2466
| universal_class != X2465
| member(X2466,X2465) ),
inference(resolution,status(thm),[c22,c229]) ).
cnf(c43119,plain,
( universal_class != X3464
| member(singleton(X3465),X3464) ),
inference(resolution,status(thm),[c729,c269]) ).
cnf(c54712,plain,
member(singleton(X3466),universal_class),
inference(resolution,status(thm),[c43119,reflexivity]) ).
cnf(c54720,plain,
$false,
inference(resolution,status(thm),[c54712,c30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 00:27:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 41.74/41.94 # Version: 1.3
% 41.74/41.94 # SZS status Theorem
% 41.74/41.94 # SZS output start CNFRefutation
% See solution above
% 41.74/41.94
% 41.74/41.94 # Initial clauses : 119
% 41.74/41.94 # Processed clauses : 1408
% 41.74/41.94 # Factors computed : 3
% 41.74/41.94 # Resolvents computed: 54474
% 41.74/41.94 # Tautologies deleted: 6
% 41.74/41.94 # Forward subsumed : 1997
% 41.74/41.94 # Backward subsumed : 98
% 41.74/41.94 # -------- CPU Time ---------
% 41.74/41.94 # User time : 41.458 s
% 41.74/41.94 # System time : 0.129 s
% 41.74/41.94 # Total time : 41.587 s
%------------------------------------------------------------------------------