%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET091+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 02:09:17 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 39 ( 27 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 40 ( 19 ~; 11 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [X] :
( member_of(X) = X
| member(member_of(X),universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X] :
( member_of(X) = X
| singleton(member_of(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
! [X,U] :
( ( X = U
& ~ ? [Y] :
( X = singleton(Y)
& member(Y,universal_class) ) )
=> member_of(X) = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ! [X,U] :
( ( X = U
& ~ ? [Y] :
( X = singleton(Y)
& member(Y,universal_class) ) )
=> member_of(X) = U ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f199,plain,
! [X0] :
( member_of(X0) = X0
| member(member_of(X0),universal_class) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f200,plain,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f201,plain,
? [X,U] :
( member_of(X) != U
& X = U
& ! [Y] :
( X != singleton(Y)
| ~ member(Y,universal_class) ) ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f202,plain,
( member_of(sK7_skl) != sK8_skl
& sK7_skl = sK8_skl
& ! [Y] :
( sK7_skl != singleton(Y)
| ~ member(Y,universal_class) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(U,sK8_skl)],[f201]) ).
fof(f203,plain,
! [X0] :
( sK7_skl != singleton(X0)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
sK7_skl = sK8_skl,
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f205,plain,
member_of(sK7_skl) != sK8_skl,
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f212,plain,
member_of(sK8_skl) != sK8_skl,
inference(forward_demodulation,[status(thm)],[f204,f205]) ).
fof(f213,plain,
! [X0] :
( sK8_skl != singleton(X0)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[status(thm)],[f204,f203]) ).
fof(f215,plain,
! [X0] :
( member_of(X0) = X0
| sK8_skl != X0
| ~ member(member_of(X0),universal_class) ),
inference(paramodulation,[status(thm)],[f200,f213]) ).
fof(f223,plain,
( member_of(sK8_skl) = sK8_skl
| ~ member(member_of(sK8_skl),universal_class) ),
inference(destructive_equality_resolution,[status(thm)],[f215]) ).
fof(f224,plain,
~ member(member_of(sK8_skl),universal_class),
inference(forward_subsumption_resolution,[status(thm)],[f223,f212]) ).
fof(f227,plain,
member_of(sK8_skl) = sK8_skl,
inference(resolution,[status(thm)],[f199,f224]) ).
fof(f228,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f227,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET091+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:51:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.057890 seconds
% 0.11/0.42 % CPU time: 0.096285 seconds
% 0.11/0.42 % Total memory used: 6.565 MB
% 0.11/0.42 % Net memory used: 6.560 MB
%------------------------------------------------------------------------------