%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET163-6 : 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 : 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 02:11:41 PM UTC 2026
% Result : Unsatisfiable 109.07s 14.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET163-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n018.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 04:59:44 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 109.07/14.39 % Refutation found
% 109.07/14.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 109.07/14.39 % SZS output start CNFRefutation for theBenchmark
% 109.07/14.39 fof(f1,axiom,(
% 109.07/14.39 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f2,axiom,(
% 109.07/14.39 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f3,axiom,(
% 109.07/14.39 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f4,axiom,(
% 109.07/14.39 (![X]: (subclass(X,universal_class) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f7,axiom,(
% 109.07/14.39 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f21,axiom,(
% 109.07/14.39 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f24,axiom,(
% 109.07/14.39 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f25,axiom,(
% 109.07/14.39 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f26,axiom,(
% 109.07/14.39 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f28,axiom,(
% 109.07/14.39 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f30,axiom,(
% 109.07/14.39 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f43,axiom,(
% 109.07/14.39 (![X]: (union(X,singleton(X)) = successor(X) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f66,axiom,(
% 109.07/14.39 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f76,axiom,(
% 109.07/14.39 (![Xr]: (complement(domain_of(intersection(Xr,identity_relation))) = diagonalise(Xr) ))),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f113,negated_conjecture,(
% 109.07/14.39 union(universal_class,x) != universal_class ),
% 109.07/14.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 109.07/14.39 fof(f114,plain,(
% 109.07/14.39 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 109.07/14.39 inference(miniscoping,[status(thm)],[f1])).
% 109.07/14.39 fof(f115,plain,(
% 109.07/14.39 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 109.07/14.39 inference(cnf_transformation,[status(thm)],[f114])).
% 109.07/14.39 fof(f116,plain,(
% 109.07/14.39 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 109.07/14.39 inference(cnf_transformation,[status(thm)],[f2])).
% 109.07/14.39 fof(f117,plain,(
% 109.07/14.39 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 109.07/14.39 inference(cnf_transformation,[status(thm)],[f3])).
% 109.07/14.39 fof(f118,plain,(
% 109.07/14.39 ![X0]: (subclass(X0,universal_class))),
% 109.07/14.39 inference(cnf_transformation,[status(thm)],[f4])).
% 109.07/14.39 fof(f121,plain,(
% 109.07/14.39 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f7])).
% 109.07/14.40 fof(f141,plain,(
% 109.07/14.40 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 109.07/14.40 inference(miniscoping,[status(thm)],[f21])).
% 109.07/14.40 fof(f142,plain,(
% 109.07/14.40 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f141])).
% 109.07/14.40 fof(f146,plain,(
% 109.07/14.40 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f24])).
% 109.07/14.40 fof(f147,plain,(
% 109.07/14.40 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f25])).
% 109.07/14.40 fof(f148,plain,(
% 109.07/14.40 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f26])).
% 109.07/14.40 fof(f150,plain,(
% 109.07/14.40 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f28])).
% 109.07/14.40 fof(f152,plain,(
% 109.07/14.40 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f30])).
% 109.07/14.40 fof(f165,plain,(
% 109.07/14.40 ![X0]: (union(X0,singleton(X0))=successor(X0))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f43])).
% 109.07/14.40 fof(f188,plain,(
% 109.07/14.40 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f66])).
% 109.07/14.40 fof(f198,plain,(
% 109.07/14.40 ![X0]: (complement(domain_of(intersection(X0,identity_relation)))=diagonalise(X0))),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f76])).
% 109.07/14.40 fof(f245,plain,(
% 109.07/14.40 ~union(universal_class,x)=universal_class),
% 109.07/14.40 inference(cnf_transformation,[status(thm)],[f113])).
% 109.07/14.40 fof(f511,plain,(
% 109.07/14.40 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 109.07/14.40 inference(resolution,[status(thm)],[f115,f118])).
% 109.07/14.40 fof(f1697,plain,(
% 109.07/14.40 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 109.07/14.40 inference(resolution,[status(thm)],[f511,f188])).
% 109.07/14.40 fof(f1706,plain,(
% 109.07/14.40 ![X0]: (~subclass(universal_class,X0)|X0=universal_class)),
% 109.07/14.40 inference(resolution,[status(thm)],[f121,f118])).
% 109.07/14.40 fof(f4127,plain,(
% 109.07/14.40 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 109.07/14.40 inference(resolution,[status(thm)],[f146,f188])).
% 109.07/14.40 fof(f5054,plain,(
% 109.07/14.40 ![X0,X1]: (member(regular(intersection(X0,X1)),X0)|intersection(X0,X1)=null_class)),
% 109.07/14.40 inference(resolution,[status(thm)],[f142,f188])).
% 109.07/14.40 fof(f8642,plain,(
% 109.07/14.40 ![X0,X1]: (member(not_subclass_element(universal_class,X0),complement(X1))|member(not_subclass_element(universal_class,X0),X1)|subclass(universal_class,X0))),
% 109.07/14.40 inference(resolution,[status(thm)],[f147,f116])).
% 109.07/14.40 fof(f8703,plain,(
% 109.07/14.40 ![X0]: (~restrict(X0,singleton(regular(domain_of(X0))),universal_class)=null_class|domain_of(X0)=null_class)),
% 109.07/14.40 inference(resolution,[status(thm)],[f152,f188])).
% 109.07/14.40 fof(f21225,plain,(
% 109.07/14.40 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 109.07/14.40 inference(resolution,[status(thm)],[f4127,f1697])).
% 109.07/14.40 fof(f21246,plain,(
% 109.07/14.40 complement(universal_class)=null_class),
% 109.07/14.40 inference(duplicate_literals_removal,[status(thm)],[f21225])).
% 109.07/14.40 fof(f21394,plain,(
% 109.07/14.40 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 109.07/14.40 inference(paramodulation,[status(thm)],[f21246,f146])).
% 109.07/14.40 fof(f21474,plain,(
% 109.07/14.40 ![X0]: (complement(intersection(null_class,complement(X0)))=union(universal_class,X0))),
% 109.07/14.40 inference(paramodulation,[status(thm)],[f21246,f148])).
% 109.07/14.40 fof(f21567,plain,(
% 109.07/14.40 ![X0]: (~member(X0,null_class))),
% 109.07/14.40 inference(forward_subsumption_resolution,[status(thm)],[f21394,f511])).
% 109.07/14.40 fof(f34497,plain,(
% 109.07/14.40 ![X0]: (intersection(null_class,X0)=null_class)),
% 109.07/14.40 inference(resolution,[status(thm)],[f5054,f21567])).
% 109.07/14.40 fof(f35443,plain,(
% 109.07/14.40 ![X0]: (complement(null_class)=union(universal_class,X0))),
% 109.07/14.40 inference(backward_demodulation,[status(thm)],[f34497,f21474])).
% 109.07/14.40 fof(f35444,plain,(
% 109.07/14.40 ![X0,X1]: (restrict(null_class,X0,X1)=null_class)),
% 109.07/14.40 inference(paramodulation,[status(thm)],[f150,f34497])).
% 109.07/14.40 fof(f35448,plain,(
% 109.07/14.40 complement(domain_of(null_class))=diagonalise(null_class)),
% 109.07/14.40 inference(paramodulation,[status(thm)],[f34497,f198])).
% 109.07/14.40 fof(f36297,plain,(
% 109.07/14.40 ~complement(null_class)=universal_class),
% 109.07/14.40 inference(backward_demodulation,[status(thm)],[f35443,f245])).
% 109.07/14.40 fof(f36310,plain,(
% 109.07/14.40 complement(null_class)=successor(universal_class)),
% 109.07/14.40 inference(paramodulation,[status(thm)],[f165,f35443])).
% 109.07/14.40 fof(f36671,plain,(
% 109.07/14.40 ~successor(universal_class)=universal_class),
% 109.07/14.40 inference(backward_demodulation,[status(thm)],[f36310,f36297])).
% 109.07/14.40 fof(f56962,plain,(
% 109.07/14.40 ![X0]: (member(not_subclass_element(universal_class,X0),successor(universal_class))|member(not_subclass_element(universal_class,X0),null_class)|subclass(universal_class,X0))),
% 109.07/14.40 inference(paramodulation,[status(thm)],[f36310,f8642])).
% 109.07/14.40 fof(f57007,plain,(
% 109.07/14.40 ![X0]: (member(not_subclass_element(universal_class,X0),successor(universal_class))|subclass(universal_class,X0))),
% 109.07/14.40 inference(forward_subsumption_resolution,[status(thm)],[f56962,f21567])).
% 109.07/14.40 fof(f58060,plain,(
% 109.07/14.40 domain_of(null_class)=null_class),
% 109.07/14.40 inference(resolution,[status(thm)],[f8703,f35444])).
% 109.07/14.40 fof(f60269,plain,(
% 109.07/14.40 complement(null_class)=diagonalise(null_class)),
% 109.07/14.40 inference(backward_demodulation,[status(thm)],[f58060,f35448])).
% 109.07/14.40 fof(f60305,plain,(
% 109.07/14.40 diagonalise(null_class)=successor(universal_class)),
% 56.38/14.61 inference(backward_demodulation,[status(thm)],[f60269,f36310])).
% 56.38/14.61 fof(f60800,plain,(
% 56.38/14.61 ~diagonalise(null_class)=universal_class),
% 56.38/14.61 inference(backward_demodulation,[status(thm)],[f60305,f36671])).
% 56.38/14.61 fof(f125302,plain,(
% 56.38/14.61 ![X0]: (member(not_subclass_element(universal_class,X0),diagonalise(null_class))|subclass(universal_class,X0))),
% 56.38/14.61 inference(forward_demodulation,[status(thm)],[f60305,f57007])).
% 56.38/14.61 fof(f125305,plain,(
% 56.38/14.61 subclass(universal_class,diagonalise(null_class))|subclass(universal_class,diagonalise(null_class))),
% 56.38/14.61 inference(resolution,[status(thm)],[f125302,f117])).
% 56.38/14.61 fof(f125342,plain,(
% 56.38/14.61 subclass(universal_class,diagonalise(null_class))),
% 56.38/14.61 inference(duplicate_literals_removal,[status(thm)],[f125305])).
% 56.38/14.61 fof(f125380,plain,(
% 56.38/14.61 diagonalise(null_class)=universal_class),
% 56.38/14.61 inference(resolution,[status(thm)],[f125342,f1706])).
% 56.38/14.61 fof(f125386,plain,(
% 56.38/14.61 $false),
% 56.38/14.61 inference(forward_subsumption_resolution,[status(thm)],[f125380,f60800])).
% 56.38/14.61 % SZS output end CNFRefutation for theBenchmark.p
% 6.95/14.75 % Elapsed time: 14.269042 seconds
% 6.95/14.75 % CPU time: 111.729005 seconds
% 6.95/14.75 % Total memory used: 1.793 GB
% 6.95/14.75 % Net memory used: 1.756 GB
%------------------------------------------------------------------------------