%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET201-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 02:09:38 PM UTC 2026
% Result : Unsatisfiable 0.20s 10.78s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 11 unt; 2 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 68 ( 32 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 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(f21,axiom,
! [Z,X,Y] :
( member(Z,X)
| ~ member(Z,intersection(X,Y)) ),
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(f23,axiom,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f116,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f117,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f119,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f143,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f146,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f247,plain,
subclass(x,y),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f248,plain,
subclass(z,w),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f249,plain,
~ subclass(intersection(x,z),intersection(y,w)),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f274,plain,
! [X0] :
( member(X0,w)
| ~ member(X0,z) ),
inference(resolution,[status(thm)],[f117,f248]) ).
fof(f275,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x) ),
inference(resolution,[status(thm)],[f117,f247]) ).
fof(f279,plain,
! [X0,X1,X2] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[status(thm)],[f118,f146]) ).
fof(f280,plain,
! [X0,X1,X2] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[status(thm)],[f118,f144]) ).
fof(f300,plain,
! [X0,X1,X2] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[status(thm)],[f147,f119]) ).
fof(f303,plain,
member(not_subclass_element(intersection(x,z),intersection(y,w)),z),
inference(resolution,[status(thm)],[f279,f249]) ).
fof(f306,plain,
member(not_subclass_element(intersection(x,z),intersection(y,w)),x),
inference(resolution,[status(thm)],[f280,f249]) ).
fof(f310,plain,
( ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),w)
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),y) ),
inference(resolution,[status(thm)],[f300,f249]) ).
fof(f313,definition,
( sQ5_spl
<=> member(not_subclass_element(intersection(x,z),intersection(y,w)),y) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( sQ5_spl
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),y) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ6_spl
<=> member(not_subclass_element(intersection(x,z),intersection(y,w)),w) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( sQ6_spl
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),w) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f310,f313,f316]) ).
fof(f367,plain,
( sQ5_spl
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),x) ),
inference(resolution,[status(thm)],[f315,f275]) ).
fof(f368,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f306]) ).
fof(f369,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f368]) ).
fof(f378,plain,
( sQ6_spl
| ~ member(not_subclass_element(intersection(x,z),intersection(y,w)),z) ),
inference(resolution,[status(thm)],[f318,f274]) ).
fof(f379,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f303]) ).
fof(f380,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f379]) ).
fof(f381,plain,
$false,
inference(sat_refutation,[status(thm)],[f319,f369,f380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET201-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/10.63 % Computer : n009.cluster.edu
% 0.17/10.63 % Model : x86_64 x86_64
% 0.17/10.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.63 % Memory : 8046.5625MB
% 0.17/10.63 % OS : Linux 6.8.0-71-generic
% 0.17/10.63 % CPULimit : 300
% 0.17/10.63 % WCLimit : 300
% 0.17/10.63 % DateTime : Mon Sep 21 05:00:38 UTC 2026
% 0.17/10.63 % CPUTime :
% 0.17/10.65 % Drodi V4.1.1
% 0.20/10.78 % Refutation found
% 0.20/10.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/10.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/10.80 % Elapsed time: 0.165578 seconds
% 0.20/10.80 % CPU time: 1.016136 seconds
% 0.20/10.80 % Total memory used: 124.703 MB
% 0.20/10.80 % Net memory used: 122.530 MB
%------------------------------------------------------------------------------