%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET076+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 : Thu Sep 24 02:09:13 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 81 ( 19 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 83 ( 28 ~; 30 |; 19 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 47 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,X)
=> member(U,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [U,X,Y] :
( member(U,unordered_pair(X,Y))
<=> ( ( U = Y
| U = X )
& member(U,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X,Y,Z] :
( ( member(Y,Z)
& member(X,Z) )
=> subclass(unordered_pair(X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X,Y,Z] :
( ( member(Y,Z)
& member(X,Z) )
=> subclass(unordered_pair(X,Y),Z) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f46,plain,
! [X,Y] :
( subclass(X,Y)
<=> ! [U] :
( member(U,Y)
| ~ member(U,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f47,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)],[f46]) ).
fof(f48,plain,
( ! [X,Y] :
( ? [U] :
( ~ member(U,Y)
& member(U,X) )
| subclass(X,Y) )
& ! [X,Y] :
( ! [U] :
( member(U,Y)
| ~ member(U,X) )
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
( ! [X,Y] :
( ( ~ member(sK0_skl(Y,X),Y)
& member(sK0_skl(Y,X),X) )
| subclass(X,Y) )
& ! [X,Y] :
( ! [U] :
( member(U,Y)
| ~ member(U,X) )
| ~ subclass(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK0_skl(X1,X0),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(sK0_skl(X1,X0),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f59,plain,
! [U,X,Y] :
( ( ( U != Y
& U != X )
| ~ member(U,universal_class)
| member(U,unordered_pair(X,Y)) )
& ( ( ( U = Y
| U = X )
& member(U,universal_class) )
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f60,plain,
( ! [U,X,Y] :
( ( U != Y
& U != X )
| ~ member(U,universal_class)
| member(U,unordered_pair(X,Y)) )
& ! [U,X,Y] :
( ( ( U = Y
| U = X )
& member(U,universal_class) )
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f62,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f191,plain,
? [X,Y,Z] :
( ~ subclass(unordered_pair(X,Y),Z)
& member(Y,Z)
& member(X,Z) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
( ~ subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl)
& member(sK8_skl,sK9_skl)
& member(sK7_skl,sK9_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl),skolemize(Z,sK9_skl)],[f191]) ).
fof(f193,plain,
member(sK7_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
member(sK8_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f195,plain,
~ subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f214,plain,
! [X0,X1,X2] :
( subclass(unordered_pair(X1,X2),X0)
| sK0_skl(X0,unordered_pair(X1,X2)) = X2
| sK0_skl(X0,unordered_pair(X1,X2)) = X1 ),
inference(resolution,[status(thm)],[f62,f51]) ).
fof(f246,plain,
( sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl)) = sK8_skl
| sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl)) = sK7_skl ),
inference(resolution,[status(thm)],[f214,f195]) ).
fof(f321,plain,
( sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl)) = sK7_skl
| ~ member(sK8_skl,sK9_skl)
| subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl) ),
inference(paramodulation,[status(thm)],[f246,f52]) ).
fof(f324,plain,
( sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl)) = sK7_skl
| ~ member(sK8_skl,sK9_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f195]) ).
fof(f328,plain,
sK0_skl(sK9_skl,unordered_pair(sK7_skl,sK8_skl)) = sK7_skl,
inference(forward_subsumption_resolution,[status(thm)],[f324,f194]) ).
fof(f329,plain,
( ~ member(sK7_skl,sK9_skl)
| subclass(unordered_pair(sK7_skl,sK8_skl),sK9_skl) ),
inference(paramodulation,[status(thm)],[f328,f52]) ).
fof(f331,plain,
~ member(sK7_skl,sK9_skl),
inference(forward_subsumption_resolution,[status(thm)],[f329,f195]) ).
fof(f333,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f331,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET076+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:55:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.061956 seconds
% 0.13/0.42 % CPU time: 0.177520 seconds
% 0.13/0.42 % Total memory used: 105.462 MB
% 0.13/0.42 % Net memory used: 105.287 MB
%------------------------------------------------------------------------------