%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET245-6 : 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 : n012.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 02:11:50 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET245-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 05:02:52 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.31 % Drodi V4.1.1
% 0.08/0.50 % Refutation found
% 0.08/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.50 fof(f1,axiom,(
% 0.08/0.50 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f4,axiom,(
% 0.08/0.50 (![X]: (subclass(X,universal_class) ))),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f21,axiom,(
% 0.08/0.50 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f24,axiom,(
% 0.08/0.50 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f28,axiom,(
% 0.08/0.50 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f66,axiom,(
% 0.08/0.50 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f113,negated_conjecture,(
% 0.08/0.50 restrict(null_class,x,y) != null_class ),
% 0.08/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.50 fof(f114,plain,(
% 0.08/0.50 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.08/0.50 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.50 fof(f115,plain,(
% 0.08/0.50 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f114])).
% 0.08/0.50 fof(f118,plain,(
% 0.08/0.50 ![X0]: (subclass(X0,universal_class))),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.50 fof(f141,plain,(
% 0.08/0.50 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.08/0.50 inference(miniscoping,[status(thm)],[f21])).
% 0.08/0.50 fof(f142,plain,(
% 0.08/0.50 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f141])).
% 0.08/0.50 fof(f146,plain,(
% 0.08/0.50 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f24])).
% 0.08/0.50 fof(f150,plain,(
% 0.08/0.50 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f28])).
% 0.08/0.50 fof(f188,plain,(
% 0.08/0.50 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f66])).
% 0.08/0.50 fof(f245,plain,(
% 0.08/0.50 ~restrict(null_class,x,y)=null_class),
% 0.08/0.50 inference(cnf_transformation,[status(thm)],[f113])).
% 0.08/0.50 fof(f262,plain,(
% 0.08/0.50 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.08/0.50 inference(resolution,[status(thm)],[f115,f118])).
% 0.08/0.50 fof(f273,plain,(
% 0.08/0.50 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 0.08/0.50 inference(resolution,[status(thm)],[f262,f188])).
% 0.08/0.50 fof(f348,plain,(
% 0.08/0.50 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 0.08/0.50 inference(resolution,[status(thm)],[f146,f188])).
% 0.08/0.50 fof(f360,plain,(
% 0.08/0.50 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,X1))),
% 0.08/0.50 inference(paramodulation,[status(thm)],[f150,f142])).
% 0.08/0.50 fof(f412,plain,(
% 0.08/0.50 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),X0)|restrict(X0,X1,X2)=null_class)),
% 0.08/0.50 inference(resolution,[status(thm)],[f360,f188])).
% 0.08/0.50 fof(f2268,plain,(
% 0.08/0.50 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 0.08/0.50 inference(resolution,[status(thm)],[f348,f273])).
% 0.08/0.50 fof(f2283,plain,(
% 0.08/0.50 complement(universal_class)=null_class),
% 0.08/0.50 inference(duplicate_literals_removal,[status(thm)],[f2268])).
% 0.08/0.50 fof(f2300,plain,(
% 0.08/0.50 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 0.08/0.50 inference(paramodulation,[status(thm)],[f2283,f146])).
% 0.08/0.50 fof(f2301,plain,(
% 0.08/0.50 ![X0]: (~member(X0,null_class))),
% 0.08/0.50 inference(forward_subsumption_resolution,[status(thm)],[f2300,f262])).
% 0.08/0.50 fof(f2305,plain,(
% 0.08/0.50 ![X0,X1]: (restrict(null_class,X0,X1)=null_class)),
% 0.08/0.50 inference(resolution,[status(thm)],[f2301,f412])).
% 0.08/0.50 fof(f2314,plain,(
% 0.08/0.50 ~null_class=null_class),
% 0.08/0.50 inference(backward_demodulation,[status(thm)],[f2305,f245])).
% 0.08/0.50 fof(f2334,plain,(
% 0.08/0.50 $false),
% 0.08/0.50 inference(trivial_equality_resolution,[status(thm)],[f2314])).
% 0.08/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.52 % Elapsed time: 0.207308 seconds
% 0.18/0.52 % CPU time: 1.470283 seconds
% 0.18/0.52 % Total memory used: 147.966 MB
% 0.18/0.52 % Net memory used: 142.718 MB
%------------------------------------------------------------------------------