TSTP Solution File: SET027+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Wed May 31 12:33:38 EDT 2023
% Result : Theorem 0.10s 0.36s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 5 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 72 ( 28 ~; 25 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 54 (; 46 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X,Y,Z] :
( ( subclass(X,Y)
& subclass(Y,Z) )
=> subclass(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X,Y,Z] :
( ( subclass(X,Y)
& subclass(Y,Z) )
=> subclass(X,Z) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( ~ member(U,X)
| member(U,Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f47,plain,
! [X,Y] :
( ( ~ subclass(X,Y)
| ! [U] :
( ~ member(U,X)
| member(U,Y) ) )
& ( subclass(X,Y)
| ? [U] :
( member(U,X)
& ~ member(U,Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
( ! [X,Y] :
( ~ subclass(X,Y)
| ! [U] :
( ~ member(U,X)
| member(U,Y) ) )
& ! [X,Y] :
( subclass(X,Y)
| ? [U] :
( member(U,X)
& ~ member(U,Y) ) ) ),
inference(miniscoping,[status(esa)],[f47]) ).
fof(f49,plain,
( ! [X,Y] :
( ~ subclass(X,Y)
| ! [U] :
( ~ member(U,X)
| member(U,Y) ) )
& ! [X,Y] :
( subclass(X,Y)
| ( member(sk0_0(Y,X),X)
& ~ member(sk0_0(Y,X),Y) ) ) ),
inference(skolemization,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sk0_0(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f52,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f191,plain,
? [X,Y,Z] :
( subclass(X,Y)
& subclass(Y,Z)
& ~ subclass(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f192,plain,
? [X,Z] :
( ? [Y] :
( subclass(X,Y)
& subclass(Y,Z) )
& ~ subclass(X,Z) ),
inference(miniscoping,[status(esa)],[f191]) ).
fof(f193,plain,
( subclass(sk0_7,sk0_9)
& subclass(sk0_9,sk0_8)
& ~ subclass(sk0_7,sk0_8) ),
inference(skolemization,[status(esa)],[f192]) ).
fof(f194,plain,
subclass(sk0_7,sk0_9),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f195,plain,
subclass(sk0_9,sk0_8),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f196,plain,
~ subclass(sk0_7,sk0_8),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f226,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ member(sk0_0(X1,X0),X2) ),
inference(resolution,[status(thm)],[f52,f50]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X3,X2)
| ~ member(sk0_0(X1,X0),X3) ),
inference(resolution,[status(thm)],[f226,f50]) ).
fof(f405,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f266,f51]) ).
fof(f406,plain,
! [X0,X1,X2] :
( subclass(X0,X1)
| ~ subclass(X2,X1)
| ~ subclass(X0,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f405]) ).
fof(f420,plain,
! [X0] :
( subclass(X0,sk0_8)
| ~ subclass(X0,sk0_9) ),
inference(resolution,[status(thm)],[f406,f195]) ).
fof(f429,plain,
subclass(sk0_7,sk0_8),
inference(resolution,[status(thm)],[f420,f194]) ).
fof(f430,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f429,f196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET027+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:18:27 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.36 % Refutation found
% 0.10/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57 % Elapsed time: 0.043289 seconds
% 0.16/0.57 % CPU time: 0.023827 seconds
% 0.16/0.57 % Memory used: 4.002 MB
%------------------------------------------------------------------------------