%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET155-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:09:31 PM UTC 2026
% Result : Unsatisfiable 282.56s 46.35s
% Output : CNFRefutation 282.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 11 unt; 0 def)
% Number of atoms : 73 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 30 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( subclass(X,Y)
| member(not_subclass_element(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( subclass(X,Y)
| ~ member(not_subclass_element(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
complement(union(x,y)) != intersection(complement(x),complement(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f115,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f117,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f118,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f146,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f147,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f148,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f245,plain,
complement(union(x,y)) != intersection(complement(x),complement(y)),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ~ member(X0,intersection(complement(X1),complement(X2)))
| ~ member(X0,union(X1,X2)) ),
inference(paramodulation,[status(thm)],[f148,f146]) ).
fof(f256,plain,
! [X0,X1,X2] :
( member(X0,intersection(complement(X1),complement(X2)))
| member(X0,union(X1,X2))
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f148,f147]) ).
fof(f262,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f115,f118]) ).
fof(f264,plain,
! [X0,X1] :
( ~ member(not_subclass_element(complement(X0),X1),X0)
| subclass(complement(X0),X1) ),
inference(resolution,[status(thm)],[f116,f146]) ).
fof(f268,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| ~ member(not_subclass_element(X0,complement(X1)),universal_class)
| subclass(X0,complement(X1)) ),
inference(resolution,[status(thm)],[f117,f147]) ).
fof(f283,plain,
! [X0,X1,X2] :
( subclass(intersection(complement(X0),complement(X1)),X2)
| ~ member(not_subclass_element(intersection(complement(X0),complement(X1)),X2),union(X0,X1)) ),
inference(resolution,[status(thm)],[f252,f116]) ).
fof(f289,plain,
! [X0,X1,X2] :
( subclass(X0,intersection(complement(X1),complement(X2)))
| member(not_subclass_element(X0,intersection(complement(X1),complement(X2))),union(X1,X2))
| ~ member(not_subclass_element(X0,intersection(complement(X1),complement(X2))),universal_class) ),
inference(resolution,[status(thm)],[f256,f117]) ).
fof(f353,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),universal_class) ),
inference(resolution,[status(thm)],[f262,f116]) ).
fof(f358,plain,
! [X0,X1] :
( member(not_subclass_element(X0,complement(X1)),X1)
| subclass(X0,complement(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f268,f353]) ).
fof(f488,plain,
! [X0,X1] :
( subclass(intersection(complement(X0),complement(X1)),complement(union(X0,X1)))
| subclass(intersection(complement(X0),complement(X1)),complement(union(X0,X1))) ),
inference(resolution,[status(thm)],[f283,f358]) ).
fof(f497,plain,
! [X0,X1] : subclass(intersection(complement(X0),complement(X1)),complement(union(X0,X1))),
inference(duplicate_literals_removal,[status(thm)],[f488]) ).
fof(f1017,plain,
! [X0,X1,X2] :
( subclass(X0,intersection(complement(X1),complement(X2)))
| member(not_subclass_element(X0,intersection(complement(X1),complement(X2))),union(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f353]) ).
fof(f1019,plain,
! [X0,X1] :
( subclass(complement(union(X0,X1)),intersection(complement(X0),complement(X1)))
| subclass(complement(union(X0,X1)),intersection(complement(X0),complement(X1))) ),
inference(resolution,[status(thm)],[f1017,f264]) ).
fof(f1030,plain,
! [X0,X1] : subclass(complement(union(X0,X1)),intersection(complement(X0),complement(X1))),
inference(duplicate_literals_removal,[status(thm)],[f1019]) ).
fof(f1041,plain,
! [X0,X1] :
( intersection(complement(X0),complement(X1)) = complement(union(X0,X1))
| ~ subclass(intersection(complement(X0),complement(X1)),complement(union(X0,X1))) ),
inference(resolution,[status(thm)],[f1030,f121]) ).
fof(f1050,plain,
! [X0,X1] : intersection(complement(X0),complement(X1)) = complement(union(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f1041,f497]) ).
fof(f1055,plain,
complement(union(x,y)) != complement(union(x,y)),
inference(backward_demodulation,[status(thm)],[f1050,f245]) ).
fof(f1088,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1055]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET155-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.40 % Computer : n004.cluster.edu
% 0.11/10.40 % Model : x86_64 x86_64
% 0.11/10.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.40 % Memory : 8046.5625MB
% 0.11/10.40 % OS : Linux 6.8.0-71-generic
% 0.11/10.40 % CPULimit : 300
% 0.11/10.40 % WCLimit : 300
% 0.11/10.40 % DateTime : Mon Sep 21 04:57:00 UTC 2026
% 0.11/10.41 % CPUTime :
% 0.11/10.43 % Drodi V4.1.1
% 282.56/46.35 % Refutation found
% 282.56/46.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 282.56/46.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 40.87/47.60 % Elapsed time: 36.973823 seconds
% 40.87/47.60 % CPU time: 269.131160 seconds
% 40.87/47.60 % Total memory used: 1.306 GB
% 40.87/47.60 % Net memory used: 1.225 GB
%------------------------------------------------------------------------------