%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET056+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 02:41:45 PM UTC 2026
% Result : Theorem 27.66s 4.05s
% Output : Proof 27.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 77 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 31 ~; 31 |; 17 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 40 ( 0 sgn 23 !; 7 ?)
% 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(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] :
( ? [W] :
( ~ member(W,X)
& member(W,Y) )
| ? [U] :
( ~ member(U,Y)
& member(U,X) )
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality1) ).
fof(f43_neg,negated_conjecture,
~ ! [X,Y] :
( ? [W] :
( ~ member(W,X)
& member(W,Y) )
| ? [U] :
( ~ member(U,Y)
& member(U,X) )
| X = Y ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f43_nnf,plain,
? [X,Y] :
( ! [W] :
( member(W,X)
| ~ member(W,Y) )
& ! [U] :
( member(U,Y)
| ~ member(U,X) )
& X != Y ),
inference(nnf_transformation,[status(thm)],[f43_neg]) ).
fof(f43_sk,plain,
! [U,W] :
( ( member(W,sk7)
| ~ member(W,sk8) )
& ( member(U,sk8)
| ~ member(U,sk7) )
& sk7 != sk8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk7,sk8])],[f43_nnf]) ).
cnf(c91,plain,
( member(X3,sk7)
| ~ member(X3,sk8) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p93,plain,
( member(sk0(sk8,X0),sk7)
| subclass(sk8,X0) ),
inference(resolution,[status(thm)],[c1,c91]) ).
cnf(p97,plain,
( subclass(sk8,sk7)
| subclass(sk8,sk7) ),
inference(resolution,[status(thm)],[c2,p93]) ).
cnf(p99,plain,
subclass(sk8,sk7),
inference(factoring,[status(thm)],[p97]) ).
cnf(p112,plain,
( ~ subclass(sk7,sk8)
| sk8 = sk7 ),
inference(resolution,[status(thm)],[c6,p99]) ).
cnf(c90,plain,
( member(X2,sk8)
| ~ member(X2,sk7) ),
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p95,plain,
( member(sk0(sk7,X0),sk8)
| subclass(sk7,X0) ),
inference(resolution,[status(thm)],[c1,c90]) ).
cnf(p98,plain,
( subclass(sk7,sk8)
| subclass(sk7,sk8) ),
inference(resolution,[status(thm)],[c2,p95]) ).
cnf(p100,plain,
subclass(sk7,sk8),
inference(factoring,[status(thm)],[p98]) ).
cnf(p116,plain,
sk8 = sk7,
inference(resolution,[status(thm)],[p112,p100]) ).
cnf(c89,plain,
sk7 != sk8,
inference(cnf_transformation,[status(esa)],[f43_sk]) ).
cnf(p117,plain,
sk7 != sk7,
inference(demodulation,[status(thm)],[p116,c89]) ).
cnf(p118,plain,
$false,
inference(equality_resolution,[status(thm)],[p117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET056+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 09:26:51 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.66/4.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.66/4.05 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------