%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET199-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:09:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 88 ( 4 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 81 ( 37 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 74 ( 74 !; 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(f7,axiom,
! [X,Y] :
( X = Y
| ~ subclass(Y,X)
| ~ subclass(X,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(z,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
subclass(z,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ subclass(z,intersection(x,y)),
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(f123,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
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(z,x),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f248,plain,
subclass(z,y),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f249,plain,
~ subclass(z,intersection(x,y)),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f254,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,z) ),
inference(resolution,[status(thm)],[f117,f248]) ).
fof(f255,plain,
! [X0] :
( member(X0,x)
| ~ member(X0,z) ),
inference(resolution,[status(thm)],[f117,f247]) ).
fof(f265,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(f266,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(f279,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(f297,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[status(thm)],[f266,f119]) ).
fof(f303,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literals_removal,[status(thm)],[f297]) ).
fof(f308,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,x)),z)
| subclass(X0,intersection(X1,x))
| ~ member(not_subclass_element(X0,intersection(X1,x)),X1) ),
inference(resolution,[status(thm)],[f279,f255]) ).
fof(f309,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,y)),z)
| subclass(X0,intersection(X1,y))
| ~ member(not_subclass_element(X0,intersection(X1,y)),X1) ),
inference(resolution,[status(thm)],[f279,f254]) ).
fof(f314,plain,
! [X0,X1] :
( X0 = intersection(X0,X1)
| ~ subclass(X0,intersection(X0,X1)) ),
inference(resolution,[status(thm)],[f303,f123]) ).
fof(f345,plain,
! [X0] :
( subclass(z,intersection(X0,x))
| subclass(z,intersection(X0,x))
| ~ member(not_subclass_element(z,intersection(X0,x)),X0) ),
inference(resolution,[status(thm)],[f308,f118]) ).
fof(f348,plain,
! [X0] :
( subclass(z,intersection(X0,x))
| ~ member(not_subclass_element(z,intersection(X0,x)),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f345]) ).
fof(f428,plain,
! [X0,X1] :
( subclass(intersection(z,X0),intersection(X1,y))
| subclass(intersection(z,X0),intersection(X1,y))
| ~ member(not_subclass_element(intersection(z,X0),intersection(X1,y)),X1) ),
inference(resolution,[status(thm)],[f309,f266]) ).
fof(f433,plain,
! [X0,X1] :
( subclass(intersection(z,X0),intersection(X1,y))
| ~ member(not_subclass_element(intersection(z,X0),intersection(X1,y)),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f428]) ).
fof(f883,plain,
( subclass(z,intersection(z,x))
| subclass(z,intersection(z,x)) ),
inference(resolution,[status(thm)],[f348,f118]) ).
fof(f895,plain,
subclass(z,intersection(z,x)),
inference(duplicate_literals_removal,[status(thm)],[f883]) ).
fof(f1024,plain,
z = intersection(z,x),
inference(resolution,[status(thm)],[f895,f314]) ).
fof(f1513,plain,
! [X0] :
( subclass(intersection(z,X0),intersection(X0,y))
| subclass(intersection(z,X0),intersection(X0,y)) ),
inference(resolution,[status(thm)],[f433,f265]) ).
fof(f1537,plain,
! [X0] : subclass(intersection(z,X0),intersection(X0,y)),
inference(duplicate_literals_removal,[status(thm)],[f1513]) ).
fof(f1555,plain,
subclass(z,intersection(x,y)),
inference(paramodulation,[status(thm)],[f1024,f1537]) ).
fof(f1561,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1555,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET199-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 05:00:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.51 % Elapsed time: 0.136627 seconds
% 0.13/0.51 % CPU time: 0.827352 seconds
% 0.13/0.51 % Total memory used: 121.238 MB
% 0.13/0.51 % Net memory used: 119.540 MB
%------------------------------------------------------------------------------