TSTP Solution File: SET077+1 by PyRes---1.5
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%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 : 300s
% DateTime : Thu May 9 17:39:07 EDT 2024
% Result : Theorem 51.12s 51.29s
% Output : Refutation 51.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 27 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(singletons_are_sets,conjecture,
! [X] : member(singleton(X),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singletons_are_sets) ).
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,
theory(equality) ).
cnf(symmetry,axiom,
( X143 != X142
| X142 = X143 ),
theory(equality) ).
fof(singleton_set_defn,axiom,
! [X] : singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(c226,plain,
! [X119] : singleton(X119) = unordered_pair(X119,X119),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
cnf(c227,plain,
singleton(X165) = unordered_pair(X165,X165),
inference(split_conjunct,[status(thm)],[c226]) ).
cnf(c267,plain,
unordered_pair(X169,X169) = singleton(X169),
inference(resolution,[status(thm)],[c227,symmetry]) ).
fof(unordered_pair,axiom,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
fof(c228,plain,
! [X120,X121] : member(unordered_pair(X120,X121),universal_class),
inference(variable_rename,[status(thm)],[unordered_pair]) ).
cnf(c229,plain,
member(unordered_pair(X151,X150),universal_class),
inference(split_conjunct,[status(thm)],[c228]) ).
cnf(c22,axiom,
( X350 != X349
| X348 != X347
| ~ member(X350,X348)
| member(X349,X347) ),
theory(equality) ).
cnf(c741,plain,
( unordered_pair(X2774,X2776) != X2777
| universal_class != X2775
| member(X2777,X2775) ),
inference(resolution,[status(thm)],[c22,c229]) ).
cnf(c51172,plain,
( universal_class != X3974
| member(singleton(X3973),X3974) ),
inference(resolution,[status(thm)],[c741,c267]) ).
cnf(c70424,plain,
member(singleton(X3975),universal_class),
inference(resolution,[status(thm)],[c51172,reflexivity]) ).
cnf(c70434,plain,
$false,
inference(resolution,[status(thm)],[c70424,c30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET077+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:20:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 51.12/51.29 % Version: 1.5
% 51.12/51.29 % SZS status Theorem
% 51.12/51.29 % SZS output start CNFRefutation
% See solution above
% 51.12/51.29
% 51.12/51.29 % Initial clauses : 119
% 51.12/51.29 % Processed clauses : 1526
% 51.12/51.29 % Factors computed : 50
% 51.12/51.29 % Resolvents computed: 70148
% 51.12/51.29 % Tautologies deleted: 8
% 51.12/51.29 % Forward subsumed : 2285
% 51.12/51.29 % Backward subsumed : 104
% 51.12/51.29 % -------- CPU Time ---------
% 51.12/51.29 % User time : 50.756 s
% 51.12/51.29 % System time : 0.170 s
% 51.12/51.29 % Total time : 50.926 s
%------------------------------------------------------------------------------