TSTP Solution File: NUM030-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : Tue Apr 30 20:30:14 EDT 2024
% Result : Unsatisfiable 56.24s 7.45s
% Output : CNFRefutation 56.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 13 unt; 0 def)
% Number of atoms : 73 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 21 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,axiom,
! [X] : union(X,inverse(X)) = symmetrization_of(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f159,negated_conjecture,
symmetrization_of(x) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
~ subclass(inverse(x),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f161,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f161]) ).
fof(f163,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f164,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f165,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f190,plain,
! [Z,Y] :
( ! [X] : ~ member(Z,intersection(X,Y))
| member(Z,Y) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f194,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f195,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f292,plain,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f348,plain,
symmetrization_of(x) = x,
inference(cnf_transformation,[status(esa)],[f159]) ).
fof(f349,plain,
~ subclass(inverse(x),x),
inference(cnf_transformation,[status(esa)],[f160]) ).
fof(f365,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X0,X2)
| member(not_subclass_element(X0,X1),X2) ),
inference(resolution,[status(thm)],[f163,f162]) ).
fof(f366,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(resolution,[status(thm)],[f365,f165]) ).
fof(f2729,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,X1),complement(X2))
| member(not_subclass_element(X0,X1),X2)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f194,f366]) ).
fof(f4093,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1))
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f2729,f164]) ).
fof(f4094,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(duplicate_literals_removal,[status(esa)],[f4093]) ).
fof(f4124,plain,
! [X0,X1,X2] :
( subclass(X0,complement(intersection(X1,X2)))
| member(not_subclass_element(X0,complement(intersection(X1,X2))),X2) ),
inference(resolution,[status(thm)],[f4094,f191]) ).
fof(f4542,plain,
! [X0,X1,X2] :
( subclass(X0,complement(intersection(complement(X1),complement(X2))))
| member(not_subclass_element(X0,union(X1,X2)),complement(X2)) ),
inference(paramodulation,[status(thm)],[f195,f4124]) ).
fof(f4543,plain,
! [X0,X1,X2] :
( subclass(X0,union(X1,X2))
| member(not_subclass_element(X0,union(X1,X2)),complement(X2)) ),
inference(forward_demodulation,[status(thm)],[f195,f4542]) ).
fof(f10109,plain,
! [X0,X1] :
( subclass(X0,union(X1,inverse(X1)))
| member(not_subclass_element(X0,symmetrization_of(X1)),complement(inverse(X1))) ),
inference(paramodulation,[status(thm)],[f292,f4543]) ).
fof(f10110,plain,
! [X0,X1] :
( subclass(X0,symmetrization_of(X1))
| member(not_subclass_element(X0,symmetrization_of(X1)),complement(inverse(X1))) ),
inference(forward_demodulation,[status(thm)],[f292,f10109]) ).
fof(f10169,plain,
! [X0,X1] :
( subclass(X0,symmetrization_of(X1))
| ~ member(not_subclass_element(X0,symmetrization_of(X1)),inverse(X1)) ),
inference(resolution,[status(thm)],[f10110,f193]) ).
fof(f10183,plain,
! [X0] :
( subclass(inverse(X0),symmetrization_of(X0))
| subclass(inverse(X0),symmetrization_of(X0)) ),
inference(resolution,[status(thm)],[f10169,f163]) ).
fof(f10184,plain,
! [X0] : subclass(inverse(X0),symmetrization_of(X0)),
inference(duplicate_literals_removal,[status(esa)],[f10183]) ).
fof(f10190,plain,
subclass(inverse(x),x),
inference(paramodulation,[status(thm)],[f348,f10184]) ).
fof(f10191,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10190,f349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM030-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n010.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 : 300
% 0.12/0.33 % DateTime : Mon Apr 29 20:41:35 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 56.24/7.45 % Refutation found
% 56.24/7.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 56.24/7.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 58.25/8.68 % Elapsed time: 8.130122 seconds
% 58.25/8.68 % CPU time: 55.006160 seconds
% 58.25/8.68 % Total memory used: 257.814 MB
% 58.25/8.68 % Net memory used: 244.306 MB
%------------------------------------------------------------------------------