%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET027+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 : n012.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 02:41:35 PM UTC 2026
% Result : Theorem 25.52s 4.06s
% Output : Proof 25.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 15 ~; 15 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 30 ( 0 sgn 15 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(c2,plain,
( ~ member(sk0(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(c1,plain,
( member(sk0(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f43,conjecture,
! [X,Y,Z] :
( ( subclass(Y,Z)
& subclass(X,Y) )
=> subclass(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f43_neg,negated_conjecture,
~ ! [X,Y,Z] :
( ( subclass(Y,Z)
& subclass(X,Y) )
=> subclass(X,Z) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f43_nnf,plain,
? [X,Y,Z] :
( ~ subclass(X,Z)
& subclass(Y,Z)
& subclass(X,Y) ),
inference(nnf_transformation,[status(thm)],[f43_neg]) ).
fof(f43_sk,plain,
( ~ subclass(sk7,sk9)
& subclass(sk8,sk9)
& subclass(sk7,sk8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8,sk9])],[f43_nnf]) ).
cnf(c89,plain,
subclass(sk7,sk8),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(c0,plain,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p93,plain,
( member(X0,sk8)
| ~ member(X0,sk7) ),
inference(resolution,[status(thm)],[c89,c0]) ).
cnf(p96,plain,
( member(sk0(sk7,X0),sk8)
| subclass(sk7,X0) ),
inference(resolution,[status(thm)],[c1,p93]) ).
cnf(c90,plain,
subclass(sk8,sk9),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p94,plain,
( member(X0,sk9)
| ~ member(X0,sk8) ),
inference(resolution,[status(thm)],[c90,c0]) ).
cnf(p98,plain,
( member(sk0(sk7,X0),sk9)
| subclass(sk7,X0) ),
inference(resolution,[status(thm)],[p96,p94]) ).
cnf(p100,plain,
( subclass(sk7,sk9)
| subclass(sk7,sk9) ),
inference(resolution,[status(thm)],[c2,p98]) ).
cnf(p101,plain,
subclass(sk7,sk9),
inference(factoring,[status(thm)],[p100]) ).
cnf(c91,plain,
~ subclass(sk7,sk9),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p102,plain,
$false,
inference(resolution,[status(thm)],[p101,c91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET027+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Thu Sep 24 09:16:36 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.52/4.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.52/4.06 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------