%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:42:10 PM UTC 2026
% Result : Unsatisfiable 39.78s 5.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 01:59:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 39.78/5.50 % Refutation found
% 39.78/5.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.78/5.50 % SZS output start CNFRefutation for theBenchmark
% 39.78/5.50 fof(f1,axiom,(
% 39.78/5.50 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f2,axiom,(
% 39.78/5.50 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f3,axiom,(
% 39.78/5.50 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f4,axiom,(
% 39.78/5.50 (![X]: (subclass(X,universal_class) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f22,axiom,(
% 39.78/5.50 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f24,axiom,(
% 39.78/5.50 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f25,axiom,(
% 39.78/5.50 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f26,axiom,(
% 39.78/5.50 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f113,axiom,(
% 39.78/5.50 (![X]: (union(X,inverse(X)) = symmetrization_of(X) ))),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f159,negated_conjecture,(
% 39.78/5.50 symmetrization_of(x) = x ),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f160,negated_conjecture,(
% 39.78/5.50 ~ subclass(inverse(x),x) ),
% 39.78/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 39.78/5.50 fof(f161,plain,(
% 39.78/5.50 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 39.78/5.50 inference(miniscoping,[status(thm)],[f1])).
% 39.78/5.50 fof(f162,plain,(
% 39.78/5.50 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f161])).
% 39.78/5.50 fof(f163,plain,(
% 39.78/5.50 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f2])).
% 39.78/5.50 fof(f164,plain,(
% 39.78/5.50 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f3])).
% 39.78/5.50 fof(f165,plain,(
% 39.78/5.50 ![X0]: (subclass(X0,universal_class))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f4])).
% 39.78/5.50 fof(f190,plain,(
% 39.78/5.50 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 39.78/5.50 inference(miniscoping,[status(thm)],[f22])).
% 39.78/5.50 fof(f191,plain,(
% 39.78/5.50 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f190])).
% 39.78/5.50 fof(f193,plain,(
% 39.78/5.50 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f24])).
% 39.78/5.50 fof(f194,plain,(
% 39.78/5.50 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f25])).
% 39.78/5.50 fof(f195,plain,(
% 39.78/5.50 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f26])).
% 39.78/5.50 fof(f292,plain,(
% 39.78/5.50 ![X0]: (union(X0,inverse(X0))=symmetrization_of(X0))),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f113])).
% 39.78/5.50 fof(f348,plain,(
% 39.78/5.50 symmetrization_of(x)=x),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f159])).
% 39.78/5.50 fof(f349,plain,(
% 39.78/5.50 ~subclass(inverse(x),x)),
% 39.78/5.50 inference(cnf_transformation,[status(thm)],[f160])).
% 39.78/5.50 fof(f359,plain,(
% 39.78/5.50 ![X0,X1,X2,X3]: (~subclass(X0,X1)|member(X2,X1)|~subclass(X3,X0)|~member(X2,X3))),
% 39.78/5.50 inference(resolution,[status(thm)],[f162,f162])).
% 39.78/5.50 fof(f375,plain,(
% 39.78/5.50 ![X0,X1,X2]: (~subclass(universal_class,X0)|member(X1,X0)|~member(X1,X2))),
% 39.78/5.50 inference(resolution,[status(thm)],[f359,f165])).
% 39.78/5.50 fof(f379,plain,(
% 39.78/5.50 ![X0,X1]: (member(X0,universal_class)|~member(X0,X1))),
% 39.78/5.50 inference(resolution,[status(thm)],[f375,f165])).
% 39.78/5.50 fof(f527,plain,(
% 39.78/5.50 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 39.78/5.50 inference(resolution,[status(thm)],[f191,f163])).
% 39.78/5.50 fof(f559,plain,(
% 39.78/5.50 ![X0,X1,X2]: (~member(X0,X1)|~subclass(X2,complement(X1))|~member(X0,X2))),
% 39.78/5.50 inference(resolution,[status(thm)],[f193,f162])).
% 27.76/5.58 fof(f589,plain,(
% 27.76/5.58 ![X0,X1,X2]: (~member(X0,universal_class)|member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2))))),
% 27.76/5.58 inference(paramodulation,[status(thm)],[f195,f194])).
% 27.76/5.58 fof(f4133,plain,(
% 27.76/5.58 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 27.76/5.58 inference(resolution,[status(thm)],[f527,f164])).
% 27.76/5.58 fof(f4201,plain,(
% 27.76/5.58 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 27.76/5.58 inference(duplicate_literals_removal,[status(thm)],[f4133])).
% 27.76/5.58 fof(f4406,plain,(
% 27.76/5.58 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,intersection(X2,complement(X1))))),
% 27.76/5.58 inference(resolution,[status(thm)],[f4201,f559])).
% 27.76/5.58 fof(f6429,plain,(
% 27.76/5.58 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,universal_class)|member(X0,union(X2,X1)))),
% 27.76/5.58 inference(resolution,[status(thm)],[f4406,f589])).
% 27.76/5.58 fof(f6445,plain,(
% 27.76/5.58 ![X0,X1,X2]: (~member(X0,X1)|member(X0,union(X2,X1)))),
% 27.76/5.58 inference(forward_subsumption_resolution,[status(thm)],[f6429,f379])).
% 27.76/5.58 fof(f6483,plain,(
% 27.76/5.58 ![X0,X1]: (~member(X0,inverse(X1))|member(X0,symmetrization_of(X1)))),
% 27.76/5.58 inference(paramodulation,[status(thm)],[f292,f6445])).
% 27.76/5.58 fof(f6500,plain,(
% 27.76/5.58 ![X0]: (~member(X0,inverse(x))|member(X0,x))),
% 27.76/5.58 inference(paramodulation,[status(thm)],[f348,f6483])).
% 27.76/5.58 fof(f6510,plain,(
% 27.76/5.58 ![X0]: (member(not_subclass_element(inverse(x),X0),x)|subclass(inverse(x),X0))),
% 27.76/5.58 inference(resolution,[status(thm)],[f6500,f163])).
% 27.76/5.58 fof(f7139,plain,(
% 27.76/5.58 subclass(inverse(x),x)|subclass(inverse(x),x)),
% 27.76/5.58 inference(resolution,[status(thm)],[f6510,f164])).
% 27.76/5.58 fof(f7144,plain,(
% 27.76/5.58 subclass(inverse(x),x)),
% 27.76/5.58 inference(duplicate_literals_removal,[status(thm)],[f7139])).
% 27.76/5.58 fof(f7145,plain,(
% 27.76/5.58 $false),
% 27.76/5.58 inference(forward_subsumption_resolution,[status(thm)],[f7144,f349])).
% 27.76/5.58 % SZS output end CNFRefutation for theBenchmark.p
% 27.76/5.60 % Elapsed time: 5.231348 seconds
% 27.76/5.60 % CPU time: 40.901764 seconds
% 27.76/5.60 % Total memory used: 542.448 MB
% 27.76/5.60 % Net memory used: 495.662 MB
%------------------------------------------------------------------------------