%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET137-6 : 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 : n026.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 88.72s 11.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET137-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 04:58:53 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 88.72/11.68 % Refutation found
% 88.72/11.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 88.72/11.68 % SZS output start CNFRefutation for theBenchmark
% 88.72/11.68 fof(f1,axiom,(
% 88.72/11.68 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f2,axiom,(
% 88.72/11.68 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f3,axiom,(
% 88.72/11.68 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f4,axiom,(
% 88.72/11.68 (![X]: (subclass(X,universal_class) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f7,axiom,(
% 88.72/11.68 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f10,axiom,(
% 88.72/11.68 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f12,axiom,(
% 88.72/11.68 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f21,axiom,(
% 88.72/11.68 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f24,axiom,(
% 88.72/11.68 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f25,axiom,(
% 88.72/11.68 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f26,axiom,(
% 88.72/11.68 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f28,axiom,(
% 88.72/11.68 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f30,axiom,(
% 88.72/11.68 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f66,axiom,(
% 88.72/11.68 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f67,axiom,(
% 88.72/11.68 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f92,axiom,(
% 88.72/11.68 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f93,negated_conjecture,(
% 88.72/11.68 member(u,x) ),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f96,negated_conjecture,(
% 88.72/11.68 set_builder(u,set_builder(v,set_builder(w,null_class))) = null_class ),
% 88.72/11.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 88.72/11.68 fof(f97,plain,(
% 88.72/11.68 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 88.72/11.68 inference(miniscoping,[status(thm)],[f1])).
% 88.72/11.68 fof(f98,plain,(
% 88.72/11.68 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f97])).
% 88.72/11.68 fof(f99,plain,(
% 88.72/11.68 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f2])).
% 88.72/11.68 fof(f100,plain,(
% 88.72/11.68 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f3])).
% 88.72/11.68 fof(f101,plain,(
% 88.72/11.68 ![X0]: (subclass(X0,universal_class))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f4])).
% 88.72/11.68 fof(f104,plain,(
% 88.72/11.68 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f7])).
% 88.72/11.68 fof(f109,plain,(
% 88.72/11.68 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 88.72/11.68 inference(miniscoping,[status(thm)],[f10])).
% 88.72/11.68 fof(f110,plain,(
% 88.72/11.68 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f109])).
% 88.72/11.68 fof(f112,plain,(
% 88.72/11.68 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f12])).
% 88.72/11.68 fof(f124,plain,(
% 88.72/11.68 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 88.72/11.68 inference(miniscoping,[status(thm)],[f21])).
% 88.72/11.68 fof(f125,plain,(
% 88.72/11.68 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f124])).
% 88.72/11.68 fof(f129,plain,(
% 88.72/11.68 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f24])).
% 88.72/11.68 fof(f130,plain,(
% 88.72/11.68 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f25])).
% 88.72/11.68 fof(f131,plain,(
% 88.72/11.68 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f26])).
% 88.72/11.68 fof(f133,plain,(
% 88.72/11.68 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f28])).
% 88.72/11.68 fof(f135,plain,(
% 88.72/11.68 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f30])).
% 88.72/11.68 fof(f171,plain,(
% 88.72/11.68 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f66])).
% 88.72/11.68 fof(f172,plain,(
% 88.72/11.68 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f67])).
% 88.72/11.68 fof(f202,plain,(
% 88.72/11.68 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f92])).
% 88.72/11.68 fof(f203,plain,(
% 88.72/11.68 member(u,x)),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f93])).
% 88.72/11.68 fof(f206,plain,(
% 88.72/11.68 set_builder(u,set_builder(v,set_builder(w,null_class)))=null_class),
% 88.72/11.68 inference(cnf_transformation,[status(thm)],[f96])).
% 88.72/11.68 fof(f211,plain,(
% 88.72/11.68 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 88.72/11.68 inference(resolution,[status(thm)],[f101,f98])).
% 88.72/11.68 fof(f815,plain,(
% 88.72/11.68 member(u,universal_class)),
% 88.72/11.68 inference(resolution,[status(thm)],[f211,f203])).
% 88.72/11.68 fof(f843,plain,(
% 88.72/11.68 ![X0]: (member(u,complement(X0))|member(u,X0))),
% 88.72/11.68 inference(resolution,[status(thm)],[f815,f130])).
% 88.72/11.68 fof(f844,plain,(
% 88.72/11.68 ![X0]: (member(u,unordered_pair(X0,u)))),
% 88.72/11.68 inference(resolution,[status(thm)],[f815,f110])).
% 88.72/11.68 fof(f876,plain,(
% 88.72/11.68 member(u,singleton(u))),
% 88.72/11.68 inference(paramodulation,[status(thm)],[f112,f844])).
% 88.72/11.68 fof(f5102,plain,(
% 88.72/11.68 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 88.72/11.68 inference(resolution,[status(thm)],[f125,f99])).
% 88.72/11.68 fof(f5126,plain,(
% 88.72/11.68 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 88.72/11.68 inference(paramodulation,[status(thm)],[f172,f125])).
% 88.72/11.68 fof(f6839,plain,(
% 88.72/11.68 ![X0,X1]: (member(not_subclass_element(null_class,X0),X1)|X1=null_class|subclass(null_class,X0))),
% 88.72/11.68 inference(resolution,[status(thm)],[f5126,f99])).
% 88.72/11.68 fof(f7121,plain,(
% 88.72/11.68 ![X0]: (X0=null_class|subclass(null_class,X0)|subclass(null_class,X0))),
% 88.72/11.68 inference(resolution,[status(thm)],[f6839,f100])).
% 88.72/11.68 fof(f7164,plain,(
% 88.72/11.68 ![X0]: (X0=null_class|subclass(null_class,X0))),
% 88.72/11.68 inference(duplicate_literals_removal,[status(thm)],[f7121])).
% 88.72/11.68 fof(f7169,plain,(
% 88.72/11.68 ![X0]: (X0=null_class|~subclass(X0,null_class)|X0=null_class)),
% 88.72/11.68 inference(resolution,[status(thm)],[f7164,f104])).
% 88.72/11.68 fof(f7175,plain,(
% 88.72/11.68 ![X0]: (X0=null_class|~subclass(X0,null_class))),
% 88.72/11.68 inference(duplicate_literals_removal,[status(thm)],[f7169])).
% 88.72/11.68 fof(f7301,plain,(
% 88.72/11.68 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 88.72/11.68 inference(resolution,[status(thm)],[f5102,f100])).
% 88.72/11.68 fof(f7351,plain,(
% 88.72/11.68 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 88.72/11.68 inference(duplicate_literals_removal,[status(thm)],[f7301])).
% 88.72/11.68 fof(f10638,plain,(
% 88.72/11.68 ![X0]: (intersection(null_class,X0)=null_class)),
% 88.72/11.68 inference(resolution,[status(thm)],[f7175,f7351])).
% 88.72/11.68 fof(f11020,plain,(
% 88.72/11.68 ![X0,X1]: (member(u,union(X0,X1))|member(u,intersection(complement(X0),complement(X1))))),
% 88.72/11.68 inference(paramodulation,[status(thm)],[f131,f843])).
% 88.72/11.68 fof(f15145,plain,(
% 88.72/11.68 ![X0,X1]: (null_class=restrict(null_class,X0,X1))),
% 88.72/11.68 inference(paramodulation,[status(thm)],[f10638,f133])).
% 88.72/11.68 fof(f19898,plain,(
% 88.72/11.68 ![X0]: (~member(X0,domain_of(null_class)))),
% 88.72/11.68 inference(resolution,[status(thm)],[f15145,f135])).
% 88.72/11.68 fof(f19918,plain,(
% 88.72/11.68 domain_of(null_class)=null_class),
% 88.72/11.68 inference(resolution,[status(thm)],[f19898,f171])).
% 88.72/11.68 fof(f19965,plain,(
% 88.72/11.68 ![X0]: (~member(X0,null_class))),
% 88.72/11.68 inference(backward_demodulation,[status(thm)],[f19918,f19898])).
% 86.80/11.75 fof(f31745,plain,(
% 86.80/11.75 ![X0,X1]: (member(u,union(X0,X1))|member(u,complement(X0)))),
% 86.80/11.75 inference(resolution,[status(thm)],[f11020,f125])).
% 86.80/11.75 fof(f31859,plain,(
% 86.80/11.75 ![X0,X1]: (member(u,set_builder(X0,X1))|member(u,complement(singleton(X0))))),
% 86.80/11.75 inference(paramodulation,[status(thm)],[f202,f31745])).
% 86.80/11.75 fof(f32354,plain,(
% 86.80/11.75 member(u,null_class)|member(u,complement(singleton(u)))),
% 86.80/11.75 inference(paramodulation,[status(thm)],[f206,f31859])).
% 86.80/11.75 fof(f32359,plain,(
% 86.80/11.75 member(u,complement(singleton(u)))),
% 86.80/11.75 inference(forward_subsumption_resolution,[status(thm)],[f32354,f19965])).
% 86.80/11.75 fof(f36187,plain,(
% 86.80/11.75 ~member(u,singleton(u))),
% 86.80/11.75 inference(resolution,[status(thm)],[f32359,f129])).
% 86.80/11.75 fof(f36220,plain,(
% 86.80/11.75 $false),
% 86.80/11.75 inference(forward_subsumption_resolution,[status(thm)],[f36187,f876])).
% 86.80/11.75 % SZS output end CNFRefutation for theBenchmark.p
% 5.91/11.97 % Elapsed time: 11.583701 seconds
% 5.91/11.97 % CPU time: 90.377752 seconds
% 5.91/11.97 % Total memory used: 969.614 MB
% 5.91/11.97 % Net memory used: 870.253 MB
%------------------------------------------------------------------------------