%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET108+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 : n002.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 02:09:22 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 59 ( 29 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 74 ( 30 ~; 23 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 20 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,conjecture,
! [X] :
? [U,V] :
( ( V = X
& U = X
& ~ ? [Y,Z] :
( X = ordered_pair(Y,Z)
& member(Z,universal_class)
& member(Y,universal_class) ) )
| ( X = ordered_pair(U,V)
& member(V,universal_class)
& member(U,universal_class) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X] :
? [U,V] :
( ( V = X
& U = X
& ~ ? [Y,Z] :
( X = ordered_pair(Y,Z)
& member(Z,universal_class)
& member(Y,universal_class) ) )
| ( X = ordered_pair(U,V)
& member(V,universal_class)
& member(U,universal_class) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f191,plain,
? [X] :
! [U,V] :
( ( V != X
| U != X
| ? [Y,Z] :
( X = ordered_pair(Y,Z)
& member(Z,universal_class)
& member(Y,universal_class) ) )
& ( X != ordered_pair(U,V)
| ~ member(V,universal_class)
| ~ member(U,universal_class) ) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
? [X] :
( ( ! [V] : V != X
| ! [U] : U != X
| ? [Y,Z] :
( X = ordered_pair(Y,Z)
& member(Z,universal_class)
& member(Y,universal_class) ) )
& ! [U,V] :
( X != ordered_pair(U,V)
| ~ member(V,universal_class)
| ~ member(U,universal_class) ) ),
inference(miniscoping,[status(thm)],[f191]) ).
fof(f193,plain,
( ( ! [V] : V != sK7_skl
| ! [U] : U != sK7_skl
| ( sK7_skl = ordered_pair(sK8_skl,sK9_skl)
& member(sK9_skl,universal_class)
& member(sK8_skl,universal_class) ) )
& ! [U,V] :
( sK7_skl != ordered_pair(U,V)
| ~ member(V,universal_class)
| ~ member(U,universal_class) ) ),
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)],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( sK7_skl != ordered_pair(X0,X1)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( X1 != sK7_skl
| X0 != sK7_skl
| member(sK8_skl,universal_class) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
! [X0,X1] :
( X1 != sK7_skl
| X0 != sK7_skl
| member(sK9_skl,universal_class) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
! [X0,X1] :
( X1 != sK7_skl
| X0 != sK7_skl
| sK7_skl = ordered_pair(sK8_skl,sK9_skl) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f204,plain,
member(sK8_skl,universal_class),
inference(destructive_equality_resolution,[status(thm)],[f195]) ).
fof(f205,plain,
member(sK9_skl,universal_class),
inference(destructive_equality_resolution,[status(thm)],[f196]) ).
fof(f206,plain,
sK7_skl = ordered_pair(sK8_skl,sK9_skl),
inference(destructive_equality_resolution,[status(thm)],[f197]) ).
fof(f207,plain,
( ~ member(sK9_skl,universal_class)
| ~ member(sK8_skl,universal_class) ),
inference(resolution,[status(thm)],[f206,f194]) ).
fof(f209,plain,
~ member(sK9_skl,universal_class),
inference(forward_subsumption_resolution,[status(thm)],[f207,f204]) ).
fof(f212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f209,f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET108+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.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 04:56:01 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.056998 seconds
% 0.12/0.42 % CPU time: 0.166449 seconds
% 0.12/0.42 % Total memory used: 71.962 MB
% 0.12/0.42 % Net memory used: 71.896 MB
%------------------------------------------------------------------------------