%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET134-6 : 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 02:11:38 PM UTC 2026
% Result : Unsatisfiable 1.04s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET134-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % 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 04:55:41 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.04/0.68 % Refutation found
% 1.04/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.04/0.68 % SZS output start CNFRefutation for theBenchmark
% 1.04/0.68 fof(f1,axiom,(
% 1.04/0.68 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f2,axiom,(
% 1.04/0.68 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f3,axiom,(
% 1.04/0.68 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f7,axiom,(
% 1.04/0.68 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f8,axiom,(
% 1.04/0.68 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f10,axiom,(
% 1.04/0.68 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f12,axiom,(
% 1.04/0.68 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f21,axiom,(
% 1.04/0.68 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f22,axiom,(
% 1.04/0.68 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f24,axiom,(
% 1.04/0.68 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f25,axiom,(
% 1.04/0.68 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f26,axiom,(
% 1.04/0.68 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f30,axiom,(
% 1.04/0.68 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f67,axiom,(
% 1.04/0.68 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f92,axiom,(
% 1.04/0.68 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f93,negated_conjecture,(
% 1.04/0.68 member(u,universal_class) ),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f94,negated_conjecture,(
% 1.04/0.68 set_builder(u,set_builder(y,set_builder(z,null_class))) = null_class ),
% 1.04/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.04/0.68 fof(f95,plain,(
% 1.04/0.68 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 1.04/0.68 inference(miniscoping,[status(thm)],[f1])).
% 1.04/0.68 fof(f96,plain,(
% 1.04/0.68 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f95])).
% 1.04/0.68 fof(f97,plain,(
% 1.04/0.68 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f2])).
% 1.04/0.68 fof(f98,plain,(
% 1.04/0.68 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f3])).
% 1.04/0.68 fof(f102,plain,(
% 1.04/0.68 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f7])).
% 1.04/0.68 fof(f103,plain,(
% 1.04/0.68 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 1.04/0.68 inference(miniscoping,[status(thm)],[f8])).
% 1.04/0.68 fof(f104,plain,(
% 1.04/0.68 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f103])).
% 1.04/0.68 fof(f107,plain,(
% 1.04/0.68 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 1.04/0.68 inference(miniscoping,[status(thm)],[f10])).
% 1.04/0.68 fof(f108,plain,(
% 1.04/0.68 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f107])).
% 1.04/0.68 fof(f110,plain,(
% 1.04/0.68 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f12])).
% 1.04/0.68 fof(f122,plain,(
% 1.04/0.68 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 1.04/0.68 inference(miniscoping,[status(thm)],[f21])).
% 1.04/0.68 fof(f123,plain,(
% 1.04/0.68 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f122])).
% 1.04/0.68 fof(f124,plain,(
% 1.04/0.68 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 1.04/0.68 inference(miniscoping,[status(thm)],[f22])).
% 1.04/0.68 fof(f125,plain,(
% 1.04/0.68 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f124])).
% 1.04/0.68 fof(f127,plain,(
% 1.04/0.68 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f24])).
% 1.04/0.68 fof(f128,plain,(
% 1.04/0.68 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f25])).
% 1.04/0.68 fof(f129,plain,(
% 1.04/0.68 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f26])).
% 1.04/0.68 fof(f133,plain,(
% 1.04/0.68 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f30])).
% 1.04/0.68 fof(f170,plain,(
% 1.04/0.68 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f67])).
% 1.04/0.68 fof(f200,plain,(
% 1.04/0.68 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f92])).
% 1.04/0.68 fof(f201,plain,(
% 1.04/0.68 member(u,universal_class)),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f93])).
% 1.04/0.68 fof(f202,plain,(
% 1.04/0.68 set_builder(u,set_builder(y,set_builder(z,null_class)))=null_class),
% 1.04/0.68 inference(cnf_transformation,[status(thm)],[f94])).
% 1.04/0.68 fof(f216,plain,(
% 1.04/0.68 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 1.04/0.68 inference(paramodulation,[status(thm)],[f110,f108])).
% 1.04/0.68 fof(f218,plain,(
% 1.04/0.68 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 1.04/0.68 inference(paramodulation,[status(thm)],[f110,f104])).
% 1.04/0.68 fof(f219,plain,(
% 1.04/0.68 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 1.04/0.68 inference(duplicate_literals_removal,[status(thm)],[f218])).
% 1.04/0.68 fof(f239,plain,(
% 1.04/0.68 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 1.04/0.68 inference(resolution,[status(thm)],[f123,f97])).
% 1.04/0.68 fof(f241,plain,(
% 1.04/0.68 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 1.04/0.68 inference(resolution,[status(thm)],[f125,f97])).
% 1.04/0.68 fof(f253,plain,(
% 1.04/0.68 ![X0,X1,X2]: (~member(X0,universal_class)|member(X0,union(X1,X2))|member(X0,intersection(complement(X1),complement(X2))))),
% 1.04/0.68 inference(paramodulation,[status(thm)],[f129,f128])).
% 1.04/0.68 fof(f282,plain,(
% 1.04/0.68 ![X0,X1,X2]: (X0=X1|~subclass(X2,singleton(X1))|~member(X0,X2))),
% 1.04/0.68 inference(resolution,[status(thm)],[f219,f96])).
% 1.04/0.68 fof(f664,plain,(
% 1.04/0.68 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 1.04/0.68 inference(resolution,[status(thm)],[f239,f98])).
% 1.04/0.68 fof(f687,plain,(
% 1.04/0.68 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 1.04/0.68 inference(duplicate_literals_removal,[status(thm)],[f664])).
% 1.04/0.68 fof(f879,plain,(
% 1.04/0.68 ![X0]: (subclass(null_class,X0)|X0=null_class)),
% 1.04/0.68 inference(paramodulation,[status(thm)],[f170,f687])).
% 1.04/0.68 fof(f900,plain,(
% 1.04/0.68 ![X0,X1]: (subclass(intersection(X0,X1),X1)|subclass(intersection(X0,X1),X1))),
% 1.04/0.68 inference(resolution,[status(thm)],[f241,f98])).
% 1.04/0.68 fof(f923,plain,(
% 1.04/0.68 ![X0,X1]: (subclass(intersection(X0,X1),X1))),
% 1.04/0.68 inference(duplicate_literals_removal,[status(thm)],[f900])).
% 1.04/0.68 fof(f1110,plain,(
% 1.04/0.68 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 1.04/0.68 inference(resolution,[status(thm)],[f879,f102])).
% 1.04/0.68 fof(f1111,plain,(
% 1.04/0.68 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 1.04/0.68 inference(duplicate_literals_removal,[status(thm)],[f1110])).
% 1.04/0.68 fof(f1184,plain,(
% 1.04/0.68 ![X0,X1]: (member(u,union(X0,X1))|member(u,intersection(complement(X0),complement(X1))))),
% 1.04/0.68 inference(resolution,[status(thm)],[f253,f201])).
% 1.04/0.68 fof(f1233,plain,(
% 1.04/0.68 ![X0,X1]: (member(u,union(X0,X1))|member(u,complement(X0)))),
% 1.04/0.68 inference(resolution,[status(thm)],[f1184,f123])).
% 1.04/0.68 fof(f1257,plain,(
% 1.04/0.68 ![X0,X1]: (member(u,set_builder(X0,X1))|member(u,complement(singleton(X0))))),
% 1.04/0.68 inference(paramodulation,[status(thm)],[f200,f1233])).
% 1.04/0.68 fof(f1326,plain,(
% 1.04/0.68 ![X0]: (intersection(X0,null_class)=null_class)),
% 1.04/0.69 inference(resolution,[status(thm)],[f1111,f923])).
% 1.04/0.69 fof(f1532,plain,(
% 1.04/0.69 ![X0]: (subclass(null_class,X0))),
% 1.04/0.69 inference(paramodulation,[status(thm)],[f1326,f687])).
% 1.04/0.69 fof(f1548,plain,(
% 1.04/0.69 ![X0,X1]: (X0=X1|~member(X0,null_class))),
% 1.04/0.69 inference(resolution,[status(thm)],[f1532,f282])).
% 1.04/0.69 fof(f1675,plain,(
% 1.04/0.69 ![X0,X1]: (member(u,set_builder(X0,X1))|~member(u,singleton(X0)))),
% 1.04/0.69 inference(resolution,[status(thm)],[f1257,f127])).
% 1.04/0.69 fof(f1810,plain,(
% 1.04/0.69 member(u,null_class)|~member(u,singleton(u))),
% 1.04/0.69 inference(paramodulation,[status(thm)],[f202,f1675])).
% 1.04/0.69 fof(f1911,plain,(
% 1.04/0.69 member(u,null_class)|~member(u,universal_class)),
% 1.04/0.69 inference(resolution,[status(thm)],[f1810,f216])).
% 1.04/0.69 fof(f1913,plain,(
% 1.04/0.69 member(u,null_class)),
% 1.04/0.69 inference(forward_subsumption_resolution,[status(thm)],[f1911,f201])).
% 1.04/0.69 fof(f1914,plain,(
% 1.04/0.69 ![X0]: (u=X0)),
% 1.04/0.69 inference(resolution,[status(thm)],[f1913,f1548])).
% 1.04/0.69 fof(f2026,plain,(
% 1.04/0.69 ![X0,X1]: (X0=X1)),
% 1.04/0.69 inference(paramodulation,[status(thm)],[f1914,f1914])).
% 1.04/0.69 fof(f2031,plain,(
% 1.04/0.69 ![X0]: (member(X0,null_class))),
% 1.04/0.69 inference(paramodulation,[status(thm)],[f1914,f1913])).
% 1.04/0.69 fof(f2083,plain,(
% 1.04/0.69 ![X0,X1]: (~member(X0,domain_of(X1)))),
% 1.04/0.69 inference(backward_subsumption_resolution,[status(thm)],[f133,f2026])).
% 1.04/0.69 fof(f2088,plain,(
% 1.04/0.69 ![X0,X1]: (member(X0,X1))),
% 1.04/0.69 inference(paramodulation,[status(thm)],[f2026,f2031])).
% 1.04/0.69 fof(f2162,plain,(
% 1.04/0.69 $false),
% 1.04/0.69 inference(backward_subsumption_resolution,[status(thm)],[f2083,f2088])).
% 1.04/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 1.04/0.72 % Elapsed time: 0.351617 seconds
% 1.04/0.72 % CPU time: 2.408900 seconds
% 1.04/0.72 % Total memory used: 145.091 MB
% 1.04/0.72 % Net memory used: 139.998 MB
%------------------------------------------------------------------------------