%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET063+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:41:52 PM UTC 2026
% Result : Theorem 27.99s 8.98s
% Output : Proof 27.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 55 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 56 ( 24 ~; 16 |; 11 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y] :
( X = Y
<=> ( subclass(Y,X)
& subclass(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality) ).
fof(f2_nnf,plain,
! [X,Y] :
( ( ~ subclass(Y,X)
| ~ subclass(X,Y)
| X = Y )
& ( ( subclass(Y,X)
& subclass(X,Y) )
| X != Y ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ~ subclass(Y,X)
| ~ subclass(X,Y)
| X = Y )
& ( ( subclass(Y,X)
& subclass(X,Y) )
| X != Y ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f43,conjecture,
! [X] :
( subclass(X,null_class)
=> X = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
fof(f43_neg,negated_conjecture,
~ ! [X] :
( subclass(X,null_class)
=> X = null_class ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f43_nnf,plain,
? [X] :
( X != null_class
& subclass(X,null_class) ),
inference(nnf_transformation,[status(thm)],[f43_neg]) ).
fof(f43_sk,plain,
( sk7 != null_class
& subclass(sk7,null_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f43_nnf]) ).
cnf(c89,plain,
subclass(sk7,null_class),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p112,plain,
( ~ subclass(null_class,sk7)
| sk7 = null_class ),
inference(resolution,[status(thm)],[c6,c89]) ).
fof(f0,axiom,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_defn) ).
fof(f0_nnf,plain,
! [X,Y] :
( ( ? [U] :
( ~ member(U,Y)
& member(U,X) )
| subclass(X,Y) )
& ( ! [U] :
( member(U,Y)
| ~ member(U,X) )
| ~ subclass(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X,Y,U] :
( ( ( ~ member(sk0(X,Y),Y)
& member(sk0(X,Y),X) )
| subclass(X,Y) )
& ( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f0_nnf]) ).
cnf(c1,plain,
( member(sk0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f15,axiom,
! [X] : ~ member(X,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_defn) ).
fof(f15_nnf,plain,
! [X] : ~ member(X,null_class),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X] : ~ member(X,null_class),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c31,plain,
~ member(X0,null_class),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p93,plain,
subclass(null_class,X0),
inference(resolution,[status(thm)],[c1,c31]) ).
cnf(p130,plain,
sk7 = null_class,
inference(resolution,[status(thm)],[p112,p93]) ).
cnf(c90,plain,
sk7 != null_class,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p131,plain,
null_class != null_class,
inference(demodulation,[status(thm)],[p130,c90]) ).
cnf(p138,plain,
$false,
inference(equality_resolution,[status(thm)],[p131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET063+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n020.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 09:31:54 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.99/8.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.99/8.98 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------