%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:12:06 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET479-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 05:22:14 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.26/0.76 % Refutation found
% 0.26/0.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.26/0.76 % SZS output start CNFRefutation for theBenchmark
% 0.26/0.76 fof(f1,axiom,(
% 0.26/0.76 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f4,axiom,(
% 0.26/0.76 (![X]: (subclass(X,universal_class) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f8,axiom,(
% 0.26/0.76 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f12,axiom,(
% 0.26/0.76 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f13,axiom,(
% 0.26/0.76 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f15,axiom,(
% 0.26/0.76 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f23,axiom,(
% 0.26/0.76 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f24,axiom,(
% 0.26/0.76 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f66,axiom,(
% 0.26/0.76 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f67,axiom,(
% 0.26/0.76 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f98,axiom,(
% 0.26/0.76 subclass(domain_relation,cross_product(universal_class,universal_class)) ),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f100,axiom,(
% 0.26/0.76 (![X]: (( ~ member(X,universal_class)| member(ordered_pair(X,domain_of(X)),domain_relation) ) ))),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f113,negated_conjecture,(
% 0.26/0.76 member(x,universal_class) ),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f114,negated_conjecture,(
% 0.26/0.76 ~ member(domain_of(x),universal_class) ),
% 0.26/0.76 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.76 fof(f115,plain,(
% 0.26/0.76 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.26/0.76 inference(miniscoping,[status(thm)],[f1])).
% 0.26/0.76 fof(f116,plain,(
% 0.26/0.76 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f115])).
% 0.26/0.76 fof(f119,plain,(
% 0.26/0.76 ![X0]: (subclass(X0,universal_class))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f4])).
% 0.26/0.76 fof(f123,plain,(
% 0.26/0.76 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.26/0.76 inference(miniscoping,[status(thm)],[f8])).
% 0.26/0.76 fof(f124,plain,(
% 0.26/0.76 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f123])).
% 0.26/0.76 fof(f130,plain,(
% 0.26/0.76 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f12])).
% 0.26/0.76 fof(f131,plain,(
% 0.26/0.76 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f13])).
% 0.26/0.76 fof(f134,plain,(
% 0.26/0.76 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.26/0.76 inference(miniscoping,[status(thm)],[f15])).
% 0.26/0.76 fof(f135,plain,(
% 0.26/0.76 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f134])).
% 0.26/0.76 fof(f146,plain,(
% 0.26/0.76 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f23])).
% 0.26/0.76 fof(f147,plain,(
% 0.26/0.76 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f24])).
% 0.26/0.76 fof(f189,plain,(
% 0.26/0.76 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f66])).
% 0.26/0.76 fof(f190,plain,(
% 0.26/0.76 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f67])).
% 0.26/0.76 fof(f226,plain,(
% 0.26/0.76 subclass(domain_relation,cross_product(universal_class,universal_class))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f98])).
% 0.26/0.76 fof(f228,plain,(
% 0.26/0.76 ![X0]: (~member(X0,universal_class)|member(ordered_pair(X0,domain_of(X0)),domain_relation))),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f100])).
% 0.26/0.76 fof(f246,plain,(
% 0.26/0.76 member(x,universal_class)),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f113])).
% 0.26/0.76 fof(f247,plain,(
% 0.26/0.76 ~member(domain_of(x),universal_class)),
% 0.26/0.76 inference(cnf_transformation,[status(thm)],[f114])).
% 0.26/0.76 fof(f256,plain,(
% 0.26/0.76 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.26/0.76 inference(resolution,[status(thm)],[f119,f116])).
% 0.26/0.76 fof(f262,plain,(
% 0.26/0.76 ![X0]: (~member(domain_of(x),X0))),
% 0.26/0.76 inference(resolution,[status(thm)],[f256,f247])).
% 0.26/0.76 fof(f269,plain,(
% 0.26/0.76 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.26/0.76 inference(paramodulation,[status(thm)],[f130,f124])).
% 0.26/0.76 fof(f270,plain,(
% 0.26/0.76 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.26/0.76 inference(duplicate_literals_removal,[status(thm)],[f269])).
% 0.26/0.76 fof(f277,plain,(
% 0.26/0.76 ![X0]: (regular(singleton(X0))=X0|singleton(X0)=null_class)),
% 0.26/0.76 inference(resolution,[status(thm)],[f270,f189])).
% 0.26/0.76 fof(f285,plain,(
% 0.26/0.76 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 0.26/0.76 inference(resolution,[status(thm)],[f147,f189])).
% 0.26/0.76 fof(f291,plain,(
% 0.26/0.76 ![X0]: (~member(X0,domain_relation)|member(X0,cross_product(universal_class,universal_class)))),
% 0.26/0.76 inference(resolution,[status(thm)],[f226,f116])).
% 0.26/0.76 fof(f330,plain,(
% 0.26/0.76 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class|singleton(X0)=null_class)),
% 0.26/0.76 inference(paramodulation,[status(thm)],[f277,f190])).
% 0.26/0.76 fof(f331,plain,(
% 0.26/0.76 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0))|singleton(X0)=null_class)),
% 0.26/0.76 inference(paramodulation,[status(thm)],[f277,f189])).
% 0.26/0.76 fof(f332,plain,(
% 0.26/0.76 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class)),
% 0.26/0.76 inference(duplicate_literals_removal,[status(thm)],[f330])).
% 0.26/0.76 fof(f333,plain,(
% 0.26/0.76 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0)))),
% 0.26/0.76 inference(duplicate_literals_removal,[status(thm)],[f331])).
% 0.26/0.76 fof(f338,plain,(
% 0.26/0.76 singleton(domain_of(x))=null_class),
% 0.26/0.76 inference(resolution,[status(thm)],[f333,f262])).
% 0.26/0.76 fof(f344,plain,(
% 0.26/0.76 ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,null_class))=ordered_pair(X0,domain_of(x)))),
% 0.26/0.76 inference(paramodulation,[status(thm)],[f338,f131])).
% 0.26/0.76 fof(f579,plain,(
% 0.26/0.76 ![X0]: (complement(universal_class)=null_class|~member(regular(complement(universal_class)),X0))),
% 0.26/0.76 inference(resolution,[status(thm)],[f285,f256])).
% 0.26/0.76 fof(f760,plain,(
% 0.26/0.76 ![X0,X1]: (~member(X0,singleton(X1))|~member(X0,X1)|member(X0,null_class)|singleton(X1)=null_class)),
% 0.26/0.76 inference(paramodulation,[status(thm)],[f332,f146])).
% 0.26/0.76 fof(f1158,plain,(
% 0.26/0.76 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 0.26/0.76 inference(resolution,[status(thm)],[f579,f189])).
% 0.26/0.76 fof(f1181,plain,(
% 0.26/0.76 complement(universal_class)=null_class),
% 0.26/0.76 inference(duplicate_literals_removal,[status(thm)],[f1158])).
% 0.26/0.76 fof(f1227,plain,(
% 0.26/0.76 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 0.26/0.76 inference(paramodulation,[status(thm)],[f1181,f147])).
% 0.26/0.76 fof(f1230,plain,(
% 0.26/0.76 ![X0,X1]: (~member(X0,singleton(X1))|~member(X0,X1)|singleton(X1)=null_class)),
% 0.26/0.76 inference(backward_subsumption_resolution,[status(thm)],[f760,f1232])).
% 0.26/0.76 fof(f1232,plain,(
% 0.26/0.76 ![X0]: (~member(X0,null_class))),
% 0.26/0.76 inference(forward_subsumption_resolution,[status(thm)],[f1227,f256])).
% 0.26/0.76 fof(f1657,plain,(
% 0.26/0.76 ![X0]: (~member(X0,X0)|singleton(X0)=null_class|singleton(X0)=null_class)),
% 0.26/0.76 inference(resolution,[status(thm)],[f1230,f333])).
% 0.26/0.76 fof(f1662,plain,(
% 0.26/0.76 ![X0]: (~member(X0,X0)|singleton(X0)=null_class)),
% 0.26/0.76 inference(duplicate_literals_removal,[status(thm)],[f1657])).
% 0.26/0.76 fof(f1670,plain,(
% 0.26/0.76 ![X0]: (singleton(universal_class)=null_class|~member(universal_class,X0))),
% 0.26/0.76 inference(resolution,[status(thm)],[f1662,f256])).
% 0.26/0.76 fof(f1677,plain,(
% 0.26/0.76 singleton(universal_class)=null_class|singleton(universal_class)=null_class),
% 0.26/0.76 inference(resolution,[status(thm)],[f1670,f333])).
% 0.26/0.76 fof(f1683,plain,(
% 0.26/0.76 singleton(universal_class)=null_class),
% 0.26/0.76 inference(duplicate_literals_removal,[status(thm)],[f1677])).
% 0.26/0.76 fof(f1708,plain,(
% 0.26/0.76 ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,null_class))=ordered_pair(X0,universal_class))),
% 0.26/0.77 inference(paramodulation,[status(thm)],[f1683,f131])).
% 0.26/0.77 fof(f1743,plain,(
% 0.26/0.77 ![X0]: (ordered_pair(X0,universal_class)=ordered_pair(X0,domain_of(x)))),
% 0.26/0.77 inference(backward_demodulation,[status(thm)],[f1708,f344])).
% 0.26/0.77 fof(f1966,plain,(
% 0.26/0.77 ~member(x,universal_class)|member(ordered_pair(x,universal_class),domain_relation)),
% 0.26/0.77 inference(paramodulation,[status(thm)],[f1743,f228])).
% 0.26/0.77 fof(f1980,plain,(
% 0.26/0.77 ![X0,X1,X2]: (~member(ordered_pair(X0,universal_class),cross_product(X1,X2))|member(domain_of(x),X2))),
% 0.26/0.77 inference(paramodulation,[status(thm)],[f1743,f135])).
% 0.26/0.77 fof(f2004,plain,(
% 0.26/0.77 member(ordered_pair(x,universal_class),domain_relation)),
% 0.26/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1966,f246])).
% 0.26/0.77 fof(f2011,plain,(
% 0.26/0.77 ![X0,X1,X2]: (~member(ordered_pair(X0,universal_class),cross_product(X1,X2)))),
% 0.26/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1980,f262])).
% 0.26/0.77 fof(f2013,plain,(
% 0.26/0.77 member(ordered_pair(x,universal_class),cross_product(universal_class,universal_class))),
% 0.26/0.77 inference(resolution,[status(thm)],[f2004,f291])).
% 0.26/0.77 fof(f2070,plain,(
% 0.26/0.77 $false),
% 0.26/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2013,f2011])).
% 0.26/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.80 % Elapsed time: 0.338512 seconds
% 0.26/0.80 % CPU time: 2.330463 seconds
% 0.26/0.80 % Total memory used: 137.131 MB
% 0.26/0.80 % Net memory used: 133.787 MB
%------------------------------------------------------------------------------