%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET054+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 : n013.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 02:41:44 PM UTC 2026
% Result : Theorem 25.10s 4.21s
% Output : Proof 25.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 24 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 24 ( 11 ~; 7 |; 5 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 8 !; 1 ?)
% 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(c4,plain,
( subclass(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p93,plain,
subclass(X0,X0),
inference(equality_resolution,[status(thm)],[c4]) ).
fof(f43,conjecture,
! [X] : subclass(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subclass) ).
fof(f43_neg,negated_conjecture,
~ ! [X] : subclass(X,X),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f43_nnf,plain,
? [X] : ~ subclass(X,X),
inference(nnf_transformation,[status(thm)],[f43_neg]) ).
fof(f43_sk,plain,
~ subclass(sk7,sk7),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7])],[f43_nnf]) ).
cnf(c89,plain,
~ subclass(sk7,sk7),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p96,plain,
$false,
inference(resolution,[status(thm)],[p93,c89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET054+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.39 % Computer : n013.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Thu Sep 24 09:26:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.10/4.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.10/4.21 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------