%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM030-1 : 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 01:38:34 PM UTC 2026
% Result : Unsatisfiable 37.68s 15.21s
% Output : CNFRefutation 37.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 22 unt; 0 def)
% Number of atoms : 106 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 34 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 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(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(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,axiom,
! [X] : union(X,inverse(X)) = symmetrization_of(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,negated_conjecture,
symmetrization_of(x) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
~ subclass(inverse(x),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subclass(X,Y) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f162,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f161]) ).
fof(f163,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f164,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f165,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f168,plain,
! [X0,X1] :
( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f188,plain,
! [Z,X] :
( member(Z,X)
| ! [Y] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f189,plain,
! [X0,X1,X2] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f191,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f194,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f195,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f292,plain,
! [X0] : union(X0,inverse(X0)) = symmetrization_of(X0),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f348,plain,
symmetrization_of(x) = x,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f349,plain,
~ subclass(inverse(x),x),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f357,plain,
! [X0,X1] :
( member(X0,universal_class)
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f165,f162]) ).
fof(f380,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),universal_class)
| subclass(X0,X1) ),
inference(resolution,[status(thm)],[f163,f357]) ).
fof(f575,plain,
! [X0,X1] :
( subclass(complement(X0),X1)
| ~ member(not_subclass_element(complement(X0),X1),X0) ),
inference(resolution,[status(thm)],[f193,f163]) ).
fof(f670,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1)
| ~ member(not_subclass_element(X0,complement(X1)),universal_class) ),
inference(resolution,[status(thm)],[f194,f164]) ).
fof(f674,plain,
! [X0,X1] :
( subclass(X0,complement(X1))
| member(not_subclass_element(X0,complement(X1)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f380]) ).
fof(f816,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,complement(intersection(X1,X2))),X2)
| subclass(X0,complement(intersection(X1,X2))) ),
inference(resolution,[status(thm)],[f674,f191]) ).
fof(f817,plain,
! [X0,X1,X2] :
( member(not_subclass_element(X0,complement(intersection(X1,X2))),X1)
| subclass(X0,complement(intersection(X1,X2))) ),
inference(resolution,[status(thm)],[f674,f189]) ).
fof(f819,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,complement(complement(X1))),X1)
| subclass(X0,complement(complement(X1))) ),
inference(resolution,[status(thm)],[f674,f193]) ).
fof(f8838,plain,
! [X0,X1] :
( subclass(complement(X0),complement(intersection(X1,X0)))
| subclass(complement(X0),complement(intersection(X1,X0))) ),
inference(resolution,[status(thm)],[f816,f575]) ).
fof(f8947,plain,
! [X0,X1] : subclass(complement(X0),complement(intersection(X1,X0))),
inference(duplicate_literals_removal,[status(thm)],[f8838]) ).
fof(f8997,plain,
! [X0,X1] :
( subclass(complement(X0),complement(intersection(X0,X1)))
| subclass(complement(X0),complement(intersection(X0,X1))) ),
inference(resolution,[status(thm)],[f817,f575]) ).
fof(f9106,plain,
! [X0,X1] : subclass(complement(X0),complement(intersection(X0,X1))),
inference(duplicate_literals_removal,[status(thm)],[f8997]) ).
fof(f9179,plain,
! [X0,X1] : subclass(complement(complement(X0)),union(X1,X0)),
inference(paramodulation,[status(thm)],[f195,f8947]) ).
fof(f9269,plain,
! [X0,X1] : subclass(complement(complement(X0)),union(X0,X1)),
inference(paramodulation,[status(thm)],[f195,f9106]) ).
fof(f9355,plain,
! [X0] : subclass(complement(complement(inverse(X0))),symmetrization_of(X0)),
inference(paramodulation,[status(thm)],[f292,f9179]) ).
fof(f9391,plain,
! [X0] : subclass(complement(complement(X0)),symmetrization_of(X0)),
inference(paramodulation,[status(thm)],[f292,f9269]) ).
fof(f9450,plain,
subclass(complement(complement(x)),x),
inference(paramodulation,[status(thm)],[f348,f9391]) ).
fof(f9463,plain,
( x = complement(complement(x))
| ~ subclass(x,complement(complement(x))) ),
inference(resolution,[status(thm)],[f9450,f168]) ).
fof(f9678,plain,
! [X0] :
( subclass(X0,complement(complement(X0)))
| subclass(X0,complement(complement(X0))) ),
inference(resolution,[status(thm)],[f819,f163]) ).
fof(f9753,plain,
! [X0] : subclass(X0,complement(complement(X0))),
inference(duplicate_literals_removal,[status(thm)],[f9678]) ).
fof(f9788,plain,
! [X0,X1] :
( member(X0,complement(complement(X1)))
| ~ member(X0,X1) ),
inference(resolution,[status(thm)],[f9753,f162]) ).
fof(f9984,plain,
subclass(complement(complement(inverse(x))),x),
inference(paramodulation,[status(thm)],[f348,f9355]) ).
fof(f10221,plain,
! [X0] :
( member(X0,x)
| ~ member(X0,complement(complement(inverse(x)))) ),
inference(resolution,[status(thm)],[f9984,f162]) ).
fof(f10921,plain,
! [X0] :
( ~ member(X0,inverse(x))
| member(X0,x) ),
inference(resolution,[status(thm)],[f10221,f9788]) ).
fof(f10936,plain,
! [X0] :
( subclass(inverse(x),X0)
| member(not_subclass_element(inverse(x),X0),x) ),
inference(resolution,[status(thm)],[f10921,f163]) ).
fof(f14370,plain,
x = complement(complement(x)),
inference(forward_subsumption_resolution,[status(thm)],[f9463,f9753]) ).
fof(f31803,plain,
( subclass(inverse(x),complement(complement(x)))
| subclass(inverse(x),complement(complement(x))) ),
inference(resolution,[status(thm)],[f10936,f819]) ).
fof(f31813,plain,
( subclass(inverse(x),complement(complement(x)))
| subclass(inverse(x),x) ),
inference(forward_demodulation,[status(thm)],[f14370,f31803]) ).
fof(f31814,plain,
( subclass(inverse(x),x)
| subclass(inverse(x),x) ),
inference(forward_demodulation,[status(thm)],[f14370,f31813]) ).
fof(f31815,plain,
subclass(inverse(x),x),
inference(duplicate_literals_removal,[status(thm)],[f31814]) ).
fof(f31816,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f31815,f349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/10.42 % Computer : n020.cluster.edu
% 0.17/10.42 % Model : x86_64 x86_64
% 0.17/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.42 % Memory : 8046.5625MB
% 0.17/10.42 % OS : Linux 6.8.0-71-generic
% 0.17/10.42 % CPULimit : 300
% 0.17/10.43 % WCLimit : 300
% 0.17/10.43 % DateTime : Mon Sep 21 02:00:27 UTC 2026
% 0.17/10.43 % CPUTime :
% 0.17/10.45 % Drodi V4.1.1
% 37.68/15.21 % Refutation found
% 37.68/15.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 37.68/15.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 37.68/15.27 % Elapsed time: 4.827660 seconds
% 37.68/15.27 % CPU time: 38.055879 seconds
% 37.68/15.27 % Total memory used: 411.277 MB
% 37.68/15.27 % Net memory used: 371.454 MB
%------------------------------------------------------------------------------