%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET072+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:09:11 PM UTC 2026
% Result : Theorem 0.11s 5.76s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 67 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 61 ( 20 ~; 18 |; 20 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 32 ( 26 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [U,X,Y] :
( member(U,unordered_pair(X,Y))
<=> ( ( U = Y
| U = X )
& member(U,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X,Y,Z] :
( ( unordered_pair(X,Z) = unordered_pair(Y,Z)
& member(Y,universal_class)
& member(X,universal_class) )
=> X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X,Y,Z] :
( ( unordered_pair(X,Z) = unordered_pair(Y,Z)
& member(Y,universal_class)
& member(X,universal_class) )
=> X = Y ),
inference(negated_conjecture,[status(cth)],[f44]) ).
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(f63,plain,
! [X0,X1,X2] :
( X0 != X1
| ~ member(X0,universal_class)
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f191,plain,
? [X,Y,Z] :
( X != Y
& unordered_pair(X,Z) = unordered_pair(Y,Z)
& member(Y,universal_class)
& member(X,universal_class) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
? [X,Y] :
( X != Y
& ? [Z] : unordered_pair(X,Z) = unordered_pair(Y,Z)
& member(Y,universal_class)
& member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f191]) ).
fof(f193,plain,
( sK7_skl != sK8_skl
& unordered_pair(sK7_skl,sK9_skl) = unordered_pair(sK8_skl,sK9_skl)
& member(sK8_skl,universal_class)
& member(sK7_skl,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,
member(sK7_skl,universal_class),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
member(sK8_skl,universal_class),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
unordered_pair(sK7_skl,sK9_skl) = unordered_pair(sK8_skl,sK9_skl),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
sK7_skl != sK8_skl,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f200,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X0,unordered_pair(X0,X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f63]) ).
fof(f207,plain,
( ~ member(sK8_skl,universal_class)
| member(sK8_skl,unordered_pair(sK7_skl,sK9_skl)) ),
inference(paramodulation,[status(thm)],[f196,f200]) ).
fof(f210,plain,
member(sK8_skl,unordered_pair(sK7_skl,sK9_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f207,f195]) ).
fof(f213,plain,
( sK8_skl = sK9_skl
| sK8_skl = sK7_skl ),
inference(resolution,[status(thm)],[f210,f62]) ).
fof(f214,plain,
sK8_skl = sK9_skl,
inference(forward_subsumption_resolution,[status(thm)],[f213,f197]) ).
fof(f216,plain,
unordered_pair(sK7_skl,sK9_skl) = unordered_pair(sK9_skl,sK9_skl),
inference(backward_demodulation,[status(thm)],[f214,f196]) ).
fof(f218,plain,
sK7_skl != sK9_skl,
inference(backward_demodulation,[status(thm)],[f214,f197]) ).
fof(f220,plain,
( ~ member(sK7_skl,universal_class)
| member(sK7_skl,unordered_pair(sK9_skl,sK9_skl)) ),
inference(paramodulation,[status(thm)],[f216,f200]) ).
fof(f223,plain,
member(sK7_skl,unordered_pair(sK9_skl,sK9_skl)),
inference(forward_subsumption_resolution,[status(thm)],[f220,f194]) ).
fof(f226,plain,
( sK7_skl = sK9_skl
| sK7_skl = sK9_skl ),
inference(resolution,[status(thm)],[f223,f62]) ).
fof(f227,plain,
sK7_skl = sK9_skl,
inference(duplicate_literals_removal,[status(thm)],[f226]) ).
fof(f228,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f227,f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.22 % Problem : SET072+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.23 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.73 % Computer : n020.cluster.edu
% 0.11/5.73 % Model : x86_64 x86_64
% 0.11/5.73 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.73 % Memory : 8046.5625MB
% 0.11/5.73 % OS : Linux 6.8.0-71-generic
% 0.11/5.73 % CPULimit : 300
% 0.11/5.73 % WCLimit : 300
% 0.11/5.73 % DateTime : Mon Sep 21 04:51:23 UTC 2026
% 0.11/5.73 % CPUTime :
% 0.11/5.74 % Drodi V4.1.1
% 0.11/5.76 % Refutation found
% 0.11/5.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/5.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/5.79 % Elapsed time: 0.052648 seconds
% 0.11/5.79 % CPU time: 0.147166 seconds
% 0.11/5.79 % Total memory used: 91.593 MB
% 0.11/5.79 % Net memory used: 91.520 MB
%------------------------------------------------------------------------------