%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET094+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 : n014.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 02:09:18 PM UTC 2026
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 49 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 47 ( 16 ~; 15 |; 13 &)
% ( 1 <=>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(f6,axiom,
! [X] : singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
! [X,Y] :
( ( member(Y,X)
& singleton(member_of(X)) = X )
=> member_of(X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ! [X,Y] :
( ( member(Y,X)
& singleton(member_of(X)) = X )
=> member_of(X) = Y ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f63,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(f64,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)],[f63]) ).
fof(f66,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f70,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f201,plain,
? [X,Y] :
( member_of(X) != Y
& member(Y,X)
& singleton(member_of(X)) = X ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f202,plain,
( member_of(sK7_skl) != sK8_skl
& member(sK8_skl,sK7_skl)
& singleton(member_of(sK7_skl)) = sK7_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl)],[f201]) ).
fof(f203,plain,
singleton(member_of(sK7_skl)) = sK7_skl,
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
member(sK8_skl,sK7_skl),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f205,plain,
member_of(sK7_skl) != sK8_skl,
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f415,plain,
! [X0,X1] :
( X0 = X1
| X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(paramodulation,[status(thm)],[f70,f66]) ).
fof(f416,plain,
! [X0,X1] :
( X0 = X1
| ~ member(X0,singleton(X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f415]) ).
fof(f431,plain,
! [X0] :
( X0 = member_of(sK7_skl)
| ~ member(X0,sK7_skl) ),
inference(paramodulation,[status(thm)],[f203,f416]) ).
fof(f624,plain,
sK8_skl = member_of(sK7_skl),
inference(resolution,[status(thm)],[f431,f204]) ).
fof(f626,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f624,f205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET094+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n014.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Mon Sep 21 04:51:21 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.19/0.43 % Drodi V4.1.1
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.54 % Elapsed time: 0.117530 seconds
% 0.19/0.54 % CPU time: 0.143955 seconds
% 0.19/0.54 % Total memory used: 16.900 MB
% 0.19/0.54 % Net memory used: 16.871 MB
%------------------------------------------------------------------------------