TSTP Solution File: SET056-7 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET056-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 20:38:52 EDT 2024
% Result : Unsatisfiable 0.14s 0.30s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 11 unt; 0 def)
% Number of atoms : 61 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 25 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 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(f7,axiom,
! [X,Y] :
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
~ member(not_subclass_element(x,y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
~ member(not_subclass_element(y,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,plain,
! [Y,U] :
( ! [X] :
( ~ subclass(X,Y)
| ~ member(U,X) )
| member(U,Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f104,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f108,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
x != y,
inference(cnf_transformation,[status(esa)],[f98]) ).
fof(f218,plain,
~ member(not_subclass_element(x,y),x),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f219,plain,
~ member(not_subclass_element(y,x),y),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f223,plain,
subclass(y,x),
inference(resolution,[status(thm)],[f103,f219]) ).
fof(f225,plain,
! [X0] :
( subclass(X0,X0)
| subclass(X0,X0) ),
inference(resolution,[status(thm)],[f104,f103]) ).
fof(f226,plain,
! [X0] : subclass(X0,X0),
inference(duplicate_literals_removal,[status(esa)],[f225]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| member(not_subclass_element(X0,X2),X1)
| subclass(X0,X2) ),
inference(resolution,[status(thm)],[f102,f103]) ).
fof(f237,plain,
( spl0_2
<=> subclass(x,x) ),
introduced(split_symbol_definition) ).
fof(f239,plain,
( ~ subclass(x,x)
| spl0_2 ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,plain,
( spl0_3
<=> subclass(x,y) ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( ~ subclass(x,x)
| subclass(x,y) ),
inference(resolution,[status(thm)],[f228,f218]) ).
fof(f244,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f243,f237,f240]) ).
fof(f246,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f226]) ).
fof(f247,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f256,plain,
( spl0_4
<=> y = x ),
introduced(split_symbol_definition) ).
fof(f257,plain,
( y = x
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f261,plain,
( ~ subclass(x,y)
| x = y ),
inference(resolution,[status(thm)],[f108,f223]) ).
fof(f262,plain,
( ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f261,f240,f256]) ).
fof(f264,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f217]) ).
fof(f265,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f264]) ).
fof(f266,plain,
$false,
inference(sat_refutation,[status(thm)],[f244,f247,f262,f265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET056-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n031.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Apr 29 22:14:28 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.14/0.30 % Drodi V3.6.0
% 0.14/0.30 % Refutation found
% 0.14/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.31 % Elapsed time: 0.019063 seconds
% 0.14/0.31 % CPU time: 0.025830 seconds
% 0.14/0.31 % Total memory used: 13.438 MB
% 0.14/0.31 % Net memory used: 13.428 MB
%------------------------------------------------------------------------------