TSTP Solution File: SET151-6 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET151-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:39:17 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 9 unt; 0 def)
% Number of atoms : 99 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 91 ( 39 ~; 48 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( ~ subclass(X,Y)
| ~ member(U,X)
| member(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,complement(X))
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( ~ member(Z,universal_class)
| member(Z,complement(X))
| member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
complement(null_class) != universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f118,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f121,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,complement(X1))
| member(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f188,plain,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f245,plain,
complement(null_class) != universal_class,
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f250,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[status(thm)],[f118,f115]) ).
fof(f256,plain,
! [X0,X1] :
( subclass(universal_class,X0)
| member(not_subclass_element(universal_class,X0),complement(X1))
| member(not_subclass_element(universal_class,X0),X1) ),
inference(resolution,[status(thm)],[f116,f147]) ).
fof(f269,plain,
! [X0] :
( complement(X0) = null_class
| ~ member(regular(complement(X0)),X0) ),
inference(resolution,[status(thm)],[f188,f146]) ).
fof(f270,plain,
! [X0] :
( member(regular(X0),universal_class)
| X0 = null_class ),
inference(resolution,[status(thm)],[f250,f188]) ).
fof(f354,plain,
! [X0] :
( subclass(universal_class,complement(X0))
| member(not_subclass_element(universal_class,complement(X0)),X0)
| subclass(universal_class,complement(X0)) ),
inference(resolution,[status(thm)],[f256,f117]) ).
fof(f355,plain,
! [X0] :
( subclass(universal_class,complement(X0))
| member(not_subclass_element(universal_class,complement(X0)),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f354]) ).
fof(f366,plain,
! [X0] :
( subclass(universal_class,complement(complement(X0)))
| ~ member(not_subclass_element(universal_class,complement(complement(X0))),X0) ),
inference(resolution,[status(thm)],[f355,f146]) ).
fof(f385,plain,
( spl0_16
<=> complement(universal_class) = null_class ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( complement(universal_class) = null_class
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f446,plain,
( spl0_17
<=> subclass(universal_class,complement(complement(universal_class))) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( subclass(universal_class,complement(complement(universal_class)))
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( subclass(universal_class,complement(complement(universal_class)))
| subclass(universal_class,complement(complement(universal_class))) ),
inference(resolution,[status(thm)],[f366,f116]) ).
fof(f450,plain,
spl0_17,
inference(split_clause,[status(thm)],[f449,f446]) ).
fof(f615,plain,
( complement(universal_class) = null_class
| complement(universal_class) = null_class ),
inference(resolution,[status(thm)],[f270,f269]) ).
fof(f616,plain,
spl0_16,
inference(split_clause,[status(thm)],[f615,f385]) ).
fof(f812,plain,
( subclass(universal_class,complement(null_class))
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f386,f447]) ).
fof(f813,plain,
( spl0_42
<=> subclass(complement(null_class),universal_class) ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( ~ subclass(complement(null_class),universal_class)
| spl0_42 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( spl0_43
<=> universal_class = complement(null_class) ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( universal_class = complement(null_class)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ subclass(complement(null_class),universal_class)
| universal_class = complement(null_class)
| ~ spl0_16
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f812,f121]) ).
fof(f820,plain,
( ~ spl0_42
| spl0_43
| ~ spl0_16
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f819,f813,f816,f385,f446]) ).
fof(f822,plain,
( $false
| spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f815,f118]) ).
fof(f823,plain,
spl0_42,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f841,plain,
( universal_class != universal_class
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f817,f245]) ).
fof(f842,plain,
( $false
| ~ spl0_43 ),
inference(trivial_equality_resolution,[status(esa)],[f841]) ).
fof(f843,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f842]) ).
fof(f844,plain,
$false,
inference(sat_refutation,[status(thm)],[f450,f616,f820,f823,f843]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET151-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:51:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.033635 seconds
% 0.13/0.39 % CPU time: 0.112028 seconds
% 0.13/0.39 % Total memory used: 20.608 MB
% 0.13/0.39 % Net memory used: 20.541 MB
%------------------------------------------------------------------------------