TSTP Solution File: SET096-7 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:39:06 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 10 unt; 0 def)
% Number of atoms : 100 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 90 ( 41 ~; 43 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 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(f7,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f105,axiom,
! [X] :
( ~ subclass(X,null_class)
| X = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [Y,X] :
( ~ member(Y,singleton(X))
| Y = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,axiom,
! [X,Y] :
( ~ member(X,Y)
| subclass(singleton(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f140,negated_conjecture,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f141,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f142,negated_conjecture,
singleton(y) != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
fof(f145,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f150,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f266,plain,
! [X0] :
( ~ subclass(X0,null_class)
| X0 = null_class ),
inference(cnf_transformation,[status(esa)],[f105]) ).
fof(f294,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f309,plain,
! [X0,X1] :
( ~ member(X0,X1)
| subclass(singleton(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f310,plain,
subclass(x,singleton(y)),
inference(cnf_transformation,[status(esa)],[f140]) ).
fof(f311,plain,
x != null_class,
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f312,plain,
singleton(y) != x,
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f316,plain,
! [X0] :
( ~ member(X0,x)
| member(X0,singleton(y)) ),
inference(resolution,[status(thm)],[f144,f310]) ).
fof(f323,plain,
( spl0_0
<=> subclass(singleton(y),x) ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( ~ subclass(singleton(y),x)
| spl0_0 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( spl0_1
<=> x = singleton(y) ),
introduced(split_symbol_definition) ).
fof(f327,plain,
( x = singleton(y)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( ~ subclass(singleton(y),x)
| x = singleton(y) ),
inference(resolution,[status(thm)],[f150,f310]) ).
fof(f330,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f329,f323,f326]) ).
fof(f349,plain,
! [X0] :
( member(not_subclass_element(x,X0),singleton(y))
| subclass(x,X0) ),
inference(resolution,[status(thm)],[f316,f145]) ).
fof(f357,plain,
! [X0] :
( subclass(x,X0)
| not_subclass_element(x,X0) = y ),
inference(resolution,[status(thm)],[f349,f294]) ).
fof(f359,plain,
( spl0_3
<=> not_subclass_element(x,null_class) = y ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( not_subclass_element(x,null_class) = y
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( spl0_4
<=> x = null_class ),
introduced(split_symbol_definition) ).
fof(f363,plain,
( x = null_class
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( not_subclass_element(x,null_class) = y
| x = null_class ),
inference(resolution,[status(thm)],[f357,f266]) ).
fof(f366,plain,
( spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f365,f359,f362]) ).
fof(f373,plain,
( spl0_6
<=> subclass(x,null_class) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( subclass(x,null_class)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f383,plain,
( spl0_8
<=> member(y,x) ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( member(y,x)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( member(y,x)
| subclass(x,null_class)
| ~ spl0_3 ),
inference(paramodulation,[status(thm)],[f360,f145]) ).
fof(f387,plain,
( spl0_8
| spl0_6
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f386,f383,f373,f359]) ).
fof(f388,plain,
( x = null_class
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f374,f266]) ).
fof(f389,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f311]) ).
fof(f390,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f363,f311]) ).
fof(f392,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f655,plain,
( subclass(singleton(y),x)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f309,f384]) ).
fof(f656,plain,
( $false
| spl0_0
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f325]) ).
fof(f657,plain,
( spl0_0
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f656]) ).
fof(f672,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f327,f312]) ).
fof(f673,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f674,plain,
$false,
inference(sat_refutation,[status(thm)],[f330,f366,f387,f390,f392,f657,f673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET096-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n029.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 : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:55:34 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37 % Elapsed time: 0.026487 seconds
% 0.14/0.37 % CPU time: 0.046210 seconds
% 0.14/0.37 % Total memory used: 14.052 MB
% 0.14/0.37 % Net memory used: 14.019 MB
%------------------------------------------------------------------------------