%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET206-6 : 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 : n010.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 02:11:46 PM UTC 2026
% Result : Unsatisfiable 29.77s 4.29s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET206-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 05:00:41 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 29.77/4.29 % Refutation found
% 29.77/4.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 29.77/4.29 % SZS output start CNFRefutation for theBenchmark
% 29.77/4.29 fof(f1,axiom,(
% 29.77/4.29 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f4,axiom,(
% 29.77/4.29 (![X]: (subclass(X,universal_class) ))),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f14,axiom,(
% 29.77/4.29 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f17,axiom,(
% 29.77/4.29 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f24,axiom,(
% 29.77/4.29 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f66,axiom,(
% 29.77/4.29 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f113,negated_conjecture,(
% 29.77/4.29 cross_product(null_class,y) != null_class ),
% 29.77/4.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.77/4.29 fof(f114,plain,(
% 29.77/4.29 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 29.77/4.29 inference(miniscoping,[status(thm)],[f1])).
% 29.77/4.29 fof(f115,plain,(
% 29.77/4.29 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f114])).
% 29.77/4.29 fof(f118,plain,(
% 29.77/4.29 ![X0]: (subclass(X0,universal_class))),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f4])).
% 29.77/4.29 fof(f131,plain,(
% 29.77/4.29 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 29.77/4.29 inference(miniscoping,[status(thm)],[f14])).
% 29.77/4.29 fof(f132,plain,(
% 29.77/4.29 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f131])).
% 29.77/4.29 fof(f136,plain,(
% 29.77/4.29 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 29.77/4.29 inference(miniscoping,[status(thm)],[f17])).
% 29.77/4.29 fof(f137,plain,(
% 29.77/4.29 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f136])).
% 29.77/4.29 fof(f146,plain,(
% 29.77/4.29 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f24])).
% 29.77/4.29 fof(f188,plain,(
% 29.77/4.29 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f66])).
% 29.77/4.29 fof(f245,plain,(
% 29.77/4.29 ~cross_product(null_class,y)=null_class),
% 29.77/4.29 inference(cnf_transformation,[status(thm)],[f113])).
% 29.77/4.29 fof(f251,plain,(
% 29.77/4.29 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 29.77/4.29 inference(resolution,[status(thm)],[f118,f115])).
% 29.77/4.29 fof(f424,plain,(
% 29.77/4.29 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 29.77/4.29 inference(resolution,[status(thm)],[f251,f188])).
% 29.77/4.29 fof(f453,plain,(
% 29.77/4.29 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 29.77/4.29 inference(resolution,[status(thm)],[f146,f188])).
% 29.77/4.29 fof(f750,plain,(
% 29.77/4.29 ![X0,X1]: (ordered_pair(first(regular(cross_product(X0,X1))),second(regular(cross_product(X0,X1))))=regular(cross_product(X0,X1))|cross_product(X0,X1)=null_class)),
% 29.77/4.29 inference(resolution,[status(thm)],[f137,f188])).
% 29.77/4.29 fof(f4254,plain,(
% 29.77/4.29 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 29.77/4.29 inference(resolution,[status(thm)],[f453,f424])).
% 29.77/4.29 fof(f4259,plain,(
% 29.77/4.29 complement(universal_class)=null_class),
% 29.77/4.29 inference(duplicate_literals_removal,[status(thm)],[f4254])).
% 29.77/4.29 fof(f4269,plain,(
% 29.77/4.29 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 29.77/4.29 inference(paramodulation,[status(thm)],[f4259,f146])).
% 29.77/4.29 fof(f4270,plain,(
% 29.77/4.29 ![X0]: (~member(X0,null_class))),
% 29.77/4.29 inference(forward_subsumption_resolution,[status(thm)],[f4269,f251])).
% 29.77/4.29 fof(f15359,plain,(
% 29.77/4.29 ![X0,X1,X2,X3]: (~member(regular(cross_product(X0,X1)),cross_product(X2,X3))|member(first(regular(cross_product(X0,X1))),X2)|cross_product(X0,X1)=null_class)),
% 29.77/4.29 inference(paramodulation,[status(thm)],[f750,f132])).
% 29.77/4.29 fof(f29475,plain,(
% 29.77/4.29 ![X0,X1]: (member(first(regular(cross_product(X0,X1))),X0)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 29.77/4.29 inference(resolution,[status(thm)],[f15359,f188])).
% 9.62/4.31 fof(f29476,plain,(
% 9.62/4.31 ![X0,X1]: (member(first(regular(cross_product(X0,X1))),X0)|cross_product(X0,X1)=null_class)),
% 9.62/4.31 inference(duplicate_literals_removal,[status(thm)],[f29475])).
% 9.62/4.31 fof(f31585,plain,(
% 9.62/4.31 ![X0]: (cross_product(null_class,X0)=null_class)),
% 9.62/4.31 inference(resolution,[status(thm)],[f29476,f4270])).
% 9.62/4.31 fof(f31639,plain,(
% 9.62/4.31 ~null_class=null_class),
% 9.62/4.31 inference(backward_demodulation,[status(thm)],[f31585,f245])).
% 9.62/4.31 fof(f31717,plain,(
% 9.62/4.31 $false),
% 9.62/4.31 inference(trivial_equality_resolution,[status(thm)],[f31639])).
% 9.62/4.31 % SZS output end CNFRefutation for theBenchmark.p
% 9.62/4.33 % Elapsed time: 3.949103 seconds
% 9.62/4.33 % CPU time: 30.890050 seconds
% 9.62/4.33 % Total memory used: 427.571 MB
% 9.62/4.33 % Net memory used: 377.835 MB
%------------------------------------------------------------------------------