%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET124-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 02:09:26 PM UTC 2026
% Result : Unsatisfiable 6.68s 1.60s
% Output : CNFRefutation 6.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 44 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [X,Y] : union(singleton(X),Y) = set_builder(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ member(x,set_builder(x,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f105,plain,
! [X] :
( ! [Y] : member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f106,plain,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f110,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f122,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f123,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f127,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f128,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f129,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f200,plain,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f201,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f202,plain,
~ member(x,set_builder(x,z)),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f250,plain,
! [X0] : member(x,unordered_pair(x,X0)),
inference(resolution,[status(thm)],[f106,f201]) ).
fof(f266,plain,
member(x,singleton(x)),
inference(paramodulation,[status(thm)],[f110,f250]) ).
fof(f435,plain,
! [X0] :
( member(x,X0)
| member(x,complement(X0)) ),
inference(resolution,[status(thm)],[f128,f201]) ).
fof(f448,plain,
! [X0,X1] :
( member(x,intersection(complement(X0),complement(X1)))
| member(x,union(X0,X1)) ),
inference(paramodulation,[status(thm)],[f129,f435]) ).
fof(f729,plain,
! [X0,X1] :
( member(x,intersection(complement(singleton(X0)),complement(X1)))
| member(x,set_builder(X0,X1)) ),
inference(paramodulation,[status(thm)],[f200,f448]) ).
fof(f3236,plain,
member(x,intersection(complement(singleton(x)),complement(z))),
inference(resolution,[status(thm)],[f729,f202]) ).
fof(f3395,plain,
member(x,complement(singleton(x))),
inference(resolution,[status(thm)],[f3236,f123]) ).
fof(f3564,plain,
~ member(x,singleton(x)),
inference(resolution,[status(thm)],[f3395,f127]) ).
fof(f3570,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3564,f266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET124-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n008.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 04:55:39 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 6.68/1.60 % Refutation found
% 6.68/1.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.68/1.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.34/1.62 % Elapsed time: 1.175279 seconds
% 2.34/1.62 % CPU time: 8.886954 seconds
% 2.34/1.62 % Total memory used: 219.701 MB
% 2.34/1.62 % Net memory used: 206.734 MB
%------------------------------------------------------------------------------