%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:09:32 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 11 unt; 2 def)
% Number of atoms : 64 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 29 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 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(f4,axiom,
! [X] : subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [Z,X,Y] :
( member(Z,Y)
| ~ member(Z,intersection(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,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
~ member(x,union(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f116,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f119,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f144,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f145,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f147,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f148,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f149,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f246,plain,
member(x,z),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f247,plain,
~ member(x,union(y,z)),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f265,plain,
! [X0] :
( member(x,X0)
| ~ subclass(z,X0) ),
inference(resolution,[status(thm)],[f116,f246]) ).
fof(f1171,plain,
! [X0,X1,X2] :
( member(X0,intersection(complement(X1),complement(X2)))
| member(X0,union(X1,X2))
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f149,f148]) ).
fof(f1216,plain,
! [X0,X1,X2] :
( member(X0,complement(X2))
| member(X0,union(X1,X2))
| ~ member(X0,universal_class) ),
inference(resolution,[status(thm)],[f1171,f145]) ).
fof(f1632,definition,
( sQ30_spl
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
( sQ30_spl
| ~ member(x,universal_class) ),
inference(component_clause,[status(thm)],[f1632]) ).
fof(f1641,plain,
( sQ30_spl
| ~ subclass(z,universal_class) ),
inference(resolution,[status(thm)],[f1634,f265]) ).
fof(f1644,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1641,f119]) ).
fof(f1645,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1644]) ).
fof(f1660,plain,
( member(x,complement(z))
| ~ member(x,universal_class) ),
inference(resolution,[status(thm)],[f1216,f247]) ).
fof(f1666,definition,
( sQ31_spl
<=> member(x,complement(z)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( ~ sQ31_spl
| member(x,complement(z)) ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,plain,
( sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1660,f1632,f1666]) ).
fof(f1672,plain,
( ~ sQ31_spl
| ~ member(x,z) ),
inference(resolution,[status(thm)],[f1667,f147]) ).
fof(f1673,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1672,f246]) ).
fof(f1674,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1673]) ).
fof(f1675,plain,
$false,
inference(sat_refutation,[status(thm)],[f1645,f1669,f1674]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n020.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 04:58:24 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 0.15/5.51 % Refutation found
% 0.15/5.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.53 % Elapsed time: 0.144338 seconds
% 0.15/5.53 % CPU time: 0.869680 seconds
% 0.15/5.53 % Total memory used: 143.840 MB
% 0.15/5.53 % Net memory used: 143.042 MB
%------------------------------------------------------------------------------