%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET188-6 : 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 : 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 02:11:44 PM UTC 2026
% Result : Unsatisfiable 100.02s 13.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET188-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:59:25 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 100.02/13.10 % Refutation found
% 100.02/13.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 100.02/13.10 % SZS output start CNFRefutation for theBenchmark
% 100.02/13.10 fof(f1,axiom,(
% 100.02/13.10 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f2,axiom,(
% 100.02/13.10 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f3,axiom,(
% 100.02/13.10 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f4,axiom,(
% 100.02/13.10 (![X]: (subclass(X,universal_class) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f7,axiom,(
% 100.02/13.10 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f21,axiom,(
% 100.02/13.10 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f22,axiom,(
% 100.02/13.10 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f23,axiom,(
% 100.02/13.10 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f24,axiom,(
% 100.02/13.10 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f25,axiom,(
% 100.02/13.10 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f26,axiom,(
% 100.02/13.10 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f27,axiom,(
% 100.02/13.10 (![X,Y]: (intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))) = symmetric_difference(X,Y) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f67,axiom,(
% 100.02/13.10 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f113,negated_conjecture,(
% 100.02/13.10 intersection(complement(y),x) = null_class ),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f114,negated_conjecture,(
% 100.02/13.10 ~ subclass(x,y) ),
% 100.02/13.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 100.02/13.10 fof(f115,plain,(
% 100.02/13.10 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 100.02/13.10 inference(miniscoping,[status(thm)],[f1])).
% 100.02/13.10 fof(f116,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f115])).
% 100.02/13.10 fof(f117,plain,(
% 100.02/13.10 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f2])).
% 100.02/13.10 fof(f118,plain,(
% 100.02/13.10 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f3])).
% 100.02/13.10 fof(f119,plain,(
% 100.02/13.10 ![X0]: (subclass(X0,universal_class))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f4])).
% 100.02/13.10 fof(f122,plain,(
% 100.02/13.10 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f7])).
% 100.02/13.10 fof(f142,plain,(
% 100.02/13.10 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 100.02/13.10 inference(miniscoping,[status(thm)],[f21])).
% 100.02/13.10 fof(f143,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f142])).
% 100.02/13.10 fof(f144,plain,(
% 100.02/13.10 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 100.02/13.10 inference(miniscoping,[status(thm)],[f22])).
% 100.02/13.10 fof(f145,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f144])).
% 100.02/13.10 fof(f146,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f23])).
% 100.02/13.10 fof(f147,plain,(
% 100.02/13.10 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f24])).
% 100.02/13.10 fof(f148,plain,(
% 100.02/13.10 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f25])).
% 100.02/13.10 fof(f149,plain,(
% 100.02/13.10 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f26])).
% 100.02/13.10 fof(f150,plain,(
% 100.02/13.10 ![X0,X1]: (intersection(complement(intersection(X0,X1)),complement(intersection(complement(X0),complement(X1))))=symmetric_difference(X0,X1))),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f27])).
% 100.02/13.10 fof(f190,plain,(
% 100.02/13.10 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f67])).
% 100.02/13.10 fof(f246,plain,(
% 100.02/13.10 intersection(complement(y),x)=null_class),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f113])).
% 100.02/13.10 fof(f247,plain,(
% 100.02/13.10 ~subclass(x,y)),
% 100.02/13.10 inference(cnf_transformation,[status(thm)],[f114])).
% 100.02/13.10 fof(f256,plain,(
% 100.02/13.10 ![X0,X1,X2,X3]: (member(X0,X1)|~subclass(X2,intersection(X1,X3))|~member(X0,X2))),
% 100.02/13.10 inference(resolution,[status(thm)],[f143,f116])).
% 100.02/13.10 fof(f261,plain,(
% 100.02/13.10 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 100.02/13.10 inference(resolution,[status(thm)],[f117,f145])).
% 100.02/13.10 fof(f262,plain,(
% 100.02/13.10 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 100.02/13.10 inference(resolution,[status(thm)],[f117,f143])).
% 100.02/13.10 fof(f263,plain,(
% 100.02/13.10 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 100.02/13.10 inference(resolution,[status(thm)],[f117,f116])).
% 100.02/13.10 fof(f284,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~member(not_subclass_element(X0,intersection(X1,X2)),X1)|~member(not_subclass_element(X0,intersection(X1,X2)),X2)|subclass(X0,intersection(X1,X2)))),
% 100.02/13.10 inference(resolution,[status(thm)],[f146,f118])).
% 100.02/13.10 fof(f288,plain,(
% 100.02/13.10 ![X0]: (~member(X0,complement(y))|~member(X0,x)|member(X0,null_class))),
% 100.02/13.10 inference(paramodulation,[status(thm)],[f246,f146])).
% 100.02/13.10 fof(f333,plain,(
% 100.02/13.10 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 100.02/13.10 inference(resolution,[status(thm)],[f261,f118])).
% 100.02/13.10 fof(f345,plain,(
% 100.02/13.10 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 100.02/13.10 inference(duplicate_literals_removal,[status(thm)],[f333])).
% 100.02/13.10 fof(f351,plain,(
% 100.02/13.10 ![X0,X1]: (~subclass(X0,intersection(X1,X0))|X0=intersection(X1,X0))),
% 100.02/13.10 inference(resolution,[status(thm)],[f345,f122])).
% 100.02/13.10 fof(f360,plain,(
% 100.02/13.10 ![X0,X1]: (intersection(complement(intersection(X0,X1)),union(X0,X1))=symmetric_difference(X0,X1))),
% 100.02/13.10 inference(forward_demodulation,[status(thm)],[f149,f150])).
% 100.02/13.10 fof(f363,plain,(
% 100.02/13.10 intersection(complement(null_class),union(complement(y),x))=symmetric_difference(complement(y),x)),
% 100.02/13.10 inference(paramodulation,[status(thm)],[f246,f360])).
% 100.02/13.10 fof(f399,plain,(
% 100.02/13.10 ![X0,X1]: (member(X0,complement(null_class))|~subclass(X1,symmetric_difference(complement(y),x))|~member(X0,X1))),
% 100.02/13.10 inference(paramodulation,[status(thm)],[f363,f256])).
% 100.02/13.10 fof(f415,plain,(
% 100.02/13.10 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 100.02/13.10 inference(resolution,[status(thm)],[f262,f118])).
% 100.02/13.10 fof(f416,plain,(
% 100.02/13.10 ![X0,X1]: (subclass(intersection(x,X0),X1)|~member(not_subclass_element(intersection(x,X0),X1),complement(y))|member(not_subclass_element(intersection(x,X0),X1),null_class))),
% 100.02/13.10 inference(resolution,[status(thm)],[f262,f288])).
% 100.02/13.10 fof(f431,plain,(
% 100.02/13.10 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 100.02/13.10 inference(duplicate_literals_removal,[status(thm)],[f415])).
% 100.02/13.10 fof(f447,plain,(
% 100.02/13.10 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class))),
% 100.02/13.10 inference(resolution,[status(thm)],[f263,f119])).
% 100.02/13.10 fof(f527,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)|subclass(intersection(X0,X1),intersection(X2,X0))|subclass(intersection(X0,X1),intersection(X2,X0)))),
% 100.02/13.10 inference(resolution,[status(thm)],[f284,f262])).
% 100.02/13.10 fof(f529,plain,(
% 100.02/13.10 ![X0,X1]: (~member(not_subclass_element(X0,intersection(X1,X0)),X1)|subclass(X0,intersection(X1,X0))|subclass(X0,intersection(X1,X0)))),
% 100.02/13.10 inference(resolution,[status(thm)],[f284,f117])).
% 100.02/13.10 fof(f542,plain,(
% 100.02/13.10 ![X0,X1,X2]: (~member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)|subclass(intersection(X0,X1),intersection(X2,X0)))),
% 100.02/13.10 inference(duplicate_literals_removal,[status(thm)],[f527])).
% 100.02/13.18 fof(f544,plain,(
% 100.02/13.18 ![X0,X1]: (~member(not_subclass_element(X0,intersection(X1,X0)),X1)|subclass(X0,intersection(X1,X0)))),
% 100.02/13.18 inference(duplicate_literals_removal,[status(thm)],[f529])).
% 100.02/13.18 fof(f873,plain,(
% 100.02/13.18 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 100.02/13.18 inference(paramodulation,[status(thm)],[f190,f431])).
% 100.02/13.18 fof(f931,plain,(
% 100.02/13.18 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 100.02/13.18 inference(resolution,[status(thm)],[f873,f122])).
% 100.02/13.18 fof(f933,plain,(
% 100.02/13.18 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 100.02/13.18 inference(duplicate_literals_removal,[status(thm)],[f931])).
% 100.02/13.18 fof(f935,plain,(
% 100.02/13.18 ![X0]: (intersection(null_class,X0)=null_class)),
% 100.02/13.18 inference(resolution,[status(thm)],[f933,f431])).
% 100.02/13.18 fof(f972,plain,(
% 100.02/13.18 ![X0]: (subclass(null_class,X0))),
% 100.02/13.18 inference(paramodulation,[status(thm)],[f935,f345])).
% 100.02/13.18 fof(f986,plain,(
% 100.02/13.18 ![X0]: (member(X0,complement(null_class))|~member(X0,null_class))),
% 100.02/13.18 inference(resolution,[status(thm)],[f972,f399])).
% 100.02/13.18 fof(f1002,plain,(
% 100.02/13.18 ![X0]: (~member(X0,null_class))),
% 100.02/13.18 inference(forward_subsumption_resolution,[status(thm)],[f986,f147])).
% 100.02/13.18 fof(f1182,plain,(
% 100.02/13.18 ![X0,X1]: (subclass(intersection(x,X0),X1)|~member(not_subclass_element(intersection(x,X0),X1),complement(y)))),
% 100.02/13.18 inference(forward_subsumption_resolution,[status(thm)],[f416,f1002])).
% 100.02/13.18 fof(f1184,plain,(
% 100.02/13.18 ![X0,X1]: (subclass(intersection(x,X0),X1)|~member(not_subclass_element(intersection(x,X0),X1),universal_class)|member(not_subclass_element(intersection(x,X0),X1),y))),
% 100.02/13.18 inference(resolution,[status(thm)],[f1182,f148])).
% 100.02/13.18 fof(f5931,plain,(
% 100.02/13.18 ![X0,X1]: (subclass(intersection(X0,X1),intersection(X1,X0))|subclass(intersection(X0,X1),intersection(X1,X0)))),
% 100.02/13.18 inference(resolution,[status(thm)],[f542,f261])).
% 100.02/13.18 fof(f6011,plain,(
% 100.02/13.18 ![X0,X1]: (subclass(intersection(X0,X1),intersection(X1,X0)))),
% 100.02/13.18 inference(duplicate_literals_removal,[status(thm)],[f5931])).
% 100.02/13.18 fof(f6249,plain,(
% 100.02/13.18 ![X0]: (subclass(X0,intersection(universal_class,X0))|subclass(X0,intersection(universal_class,X0)))),
% 100.02/13.18 inference(resolution,[status(thm)],[f544,f447])).
% 100.02/13.18 fof(f6316,plain,(
% 100.02/13.18 ![X0]: (subclass(X0,intersection(universal_class,X0)))),
% 100.02/13.18 inference(duplicate_literals_removal,[status(thm)],[f6249])).
% 100.02/13.18 fof(f7607,plain,(
% 100.02/13.18 ![X0]: (X0=intersection(universal_class,X0))),
% 100.02/13.18 inference(resolution,[status(thm)],[f6316,f351])).
% 100.02/13.18 fof(f10112,plain,(
% 100.02/13.18 ![X0,X1]: (~subclass(intersection(X0,X1),intersection(X1,X0))|intersection(X0,X1)=intersection(X1,X0))),
% 100.02/13.18 inference(resolution,[status(thm)],[f6011,f122])).
% 100.02/13.18 fof(f10169,plain,(
% 100.02/13.18 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 100.02/13.18 inference(forward_subsumption_resolution,[status(thm)],[f10112,f6011])).
% 100.02/13.18 fof(f10191,plain,(
% 100.02/13.18 ![X0]: (X0=intersection(X0,universal_class))),
% 100.02/13.18 inference(paramodulation,[status(thm)],[f7607,f10169])).
% 100.02/13.18 fof(f79950,plain,(
% 100.02/13.18 ![X0,X1]: (subclass(intersection(x,X0),X1)|member(not_subclass_element(intersection(x,X0),X1),y))),
% 100.02/13.18 inference(forward_subsumption_resolution,[status(thm)],[f1184,f447])).
% 100.02/13.18 fof(f79964,plain,(
% 100.02/13.18 ![X0]: (subclass(intersection(x,X0),y)|subclass(intersection(x,X0),y))),
% 100.02/13.18 inference(resolution,[status(thm)],[f79950,f118])).
% 100.02/13.18 fof(f80003,plain,(
% 100.02/13.18 ![X0]: (subclass(intersection(x,X0),y))),
% 100.02/13.18 inference(duplicate_literals_removal,[status(thm)],[f79964])).
% 100.02/13.18 fof(f80022,plain,(
% 100.02/13.18 subclass(x,y)),
% 100.02/13.18 inference(paramodulation,[status(thm)],[f10191,f80003])).
% 100.02/13.18 fof(f80030,plain,(
% 100.02/13.18 $false),
% 100.02/13.18 inference(forward_subsumption_resolution,[status(thm)],[f80022,f247])).
% 100.02/13.18 % SZS output end CNFRefutation for theBenchmark.p
% 22.82/13.24 % Elapsed time: 12.866299 seconds
% 22.82/13.24 % CPU time: 101.680914 seconds
% 22.82/13.24 % Total memory used: 912.699 MB
% 22.82/13.24 % Net memory used: 830.588 MB
%------------------------------------------------------------------------------