%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET473-6 : 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 02:12:05 PM UTC 2026
% Result : Unsatisfiable 172.71s 22.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET473-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n010.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:19:54 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 172.71/22.43 % Refutation found
% 172.71/22.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 172.71/22.43 % SZS output start CNFRefutation for theBenchmark
% 172.71/22.43 fof(f1,axiom,(
% 172.71/22.43 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 172.71/22.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.43 fof(f4,axiom,(
% 172.71/22.43 (![X]: (subclass(X,universal_class) ))),
% 172.71/22.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.43 fof(f15,axiom,(
% 172.71/22.43 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 172.71/22.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.43 fof(f17,axiom,(
% 172.71/22.43 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 172.71/22.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.43 fof(f21,axiom,(
% 172.71/22.43 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 172.71/22.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.43 fof(f24,axiom,(
% 172.71/22.43 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 172.71/22.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f28,axiom,(
% 172.71/22.44 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 172.71/22.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f29,axiom,(
% 172.71/22.44 (![X,Y,Xr]: (intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y) ))),
% 172.71/22.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f30,axiom,(
% 172.71/22.44 (![X,Z]: (( restrict(X,singleton(Z),universal_class) != null_class| ~ member(Z,domain_of(X)) ) ))),
% 172.71/22.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f66,axiom,(
% 172.71/22.44 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 172.71/22.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f113,negated_conjecture,(
% 172.71/22.44 y = null_class ),
% 172.71/22.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f114,negated_conjecture,(
% 172.71/22.44 domain_of(restrict(x,y,y)) != y ),
% 172.71/22.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 172.71/22.44 fof(f115,plain,(
% 172.71/22.44 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 172.71/22.44 inference(miniscoping,[status(thm)],[f1])).
% 172.71/22.44 fof(f116,plain,(
% 172.71/22.44 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f115])).
% 172.71/22.44 fof(f119,plain,(
% 172.71/22.44 ![X0]: (subclass(X0,universal_class))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f4])).
% 172.71/22.44 fof(f134,plain,(
% 172.71/22.44 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 172.71/22.44 inference(miniscoping,[status(thm)],[f15])).
% 172.71/22.44 fof(f135,plain,(
% 172.71/22.44 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f134])).
% 172.71/22.44 fof(f137,plain,(
% 172.71/22.44 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 172.71/22.44 inference(miniscoping,[status(thm)],[f17])).
% 172.71/22.44 fof(f138,plain,(
% 172.71/22.44 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f137])).
% 172.71/22.44 fof(f142,plain,(
% 172.71/22.44 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 172.71/22.44 inference(miniscoping,[status(thm)],[f21])).
% 172.71/22.44 fof(f143,plain,(
% 172.71/22.44 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f142])).
% 172.71/22.44 fof(f147,plain,(
% 172.71/22.44 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f24])).
% 172.71/22.44 fof(f151,plain,(
% 172.71/22.44 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f28])).
% 172.71/22.44 fof(f152,plain,(
% 172.71/22.44 ![X0,X1,X2]: (intersection(cross_product(X0,X1),X2)=restrict(X2,X0,X1))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f29])).
% 172.71/22.44 fof(f153,plain,(
% 172.71/22.44 ![X0,X1]: (~restrict(X0,singleton(X1),universal_class)=null_class|~member(X1,domain_of(X0)))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f30])).
% 172.71/22.44 fof(f189,plain,(
% 172.71/22.44 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f66])).
% 172.71/22.44 fof(f246,plain,(
% 172.71/22.44 y=null_class),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f113])).
% 172.71/22.44 fof(f247,plain,(
% 172.71/22.44 ~domain_of(restrict(x,y,y))=y),
% 172.71/22.44 inference(cnf_transformation,[status(thm)],[f114])).
% 172.71/22.44 fof(f252,plain,(
% 172.71/22.44 ~domain_of(restrict(x,null_class,y))=y),
% 173.81/22.45 inference(forward_demodulation,[status(thm)],[f246,f247])).
% 173.81/22.45 fof(f253,plain,(
% 173.81/22.45 ~domain_of(restrict(x,null_class,null_class))=y),
% 173.81/22.45 inference(forward_demodulation,[status(thm)],[f246,f252])).
% 173.81/22.45 fof(f254,plain,(
% 173.81/22.45 ~domain_of(restrict(x,null_class,null_class))=null_class),
% 173.81/22.45 inference(forward_demodulation,[status(thm)],[f246,f253])).
% 173.81/22.45 fof(f266,plain,(
% 173.81/22.45 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 173.81/22.45 inference(resolution,[status(thm)],[f119,f116])).
% 173.81/22.45 fof(f1161,plain,(
% 173.81/22.45 ![X0]: (member(regular(X0),universal_class)|X0=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f266,f189])).
% 173.81/22.45 fof(f1302,plain,(
% 173.81/22.45 ![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)),
% 173.81/22.45 inference(resolution,[status(thm)],[f138,f189])).
% 173.81/22.45 fof(f4070,plain,(
% 173.81/22.45 ![X0,X1,X2,X3]: (~member(regular(cross_product(X0,X1)),cross_product(X2,X3))|member(second(regular(cross_product(X0,X1))),X3)|cross_product(X0,X1)=null_class)),
% 173.81/22.45 inference(paramodulation,[status(thm)],[f1302,f135])).
% 173.81/22.45 fof(f4462,plain,(
% 173.81/22.45 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,cross_product(X2,X3)))),
% 173.81/22.45 inference(paramodulation,[status(thm)],[f152,f143])).
% 173.81/22.45 fof(f4464,plain,(
% 173.81/22.45 ![X0,X1,X2,X3]: (~member(X0,restrict(X1,X2,X3))|member(X0,X1))),
% 173.81/22.45 inference(paramodulation,[status(thm)],[f151,f143])).
% 173.81/22.45 fof(f4482,plain,(
% 173.81/22.45 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),X0)|restrict(X0,X1,X2)=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f4464,f189])).
% 173.81/22.45 fof(f4513,plain,(
% 173.81/22.45 ![X0,X1,X2]: (member(regular(restrict(X0,X1,X2)),cross_product(X1,X2))|restrict(X0,X1,X2)=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f4462,f189])).
% 173.81/22.45 fof(f4930,plain,(
% 173.81/22.45 ![X0,X1,X2]: (restrict(complement(X0),X1,X2)=null_class|~member(regular(restrict(complement(X0),X1,X2)),X0))),
% 173.81/22.45 inference(resolution,[status(thm)],[f4482,f147])).
% 173.81/22.45 fof(f10886,plain,(
% 173.81/22.45 ![X0,X1]: (restrict(complement(universal_class),X0,X1)=null_class|restrict(complement(universal_class),X0,X1)=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f4930,f1161])).
% 173.81/22.45 fof(f10921,plain,(
% 173.81/22.45 ![X0,X1]: (restrict(complement(universal_class),X0,X1)=null_class)),
% 173.81/22.45 inference(duplicate_literals_removal,[status(thm)],[f10886])).
% 173.81/22.45 fof(f10923,plain,(
% 173.81/22.45 ![X0]: (~member(X0,domain_of(complement(universal_class))))),
% 173.81/22.45 inference(resolution,[status(thm)],[f10921,f153])).
% 173.81/22.45 fof(f10976,plain,(
% 173.81/22.45 domain_of(complement(universal_class))=null_class),
% 173.81/22.45 inference(resolution,[status(thm)],[f10923,f189])).
% 173.81/22.45 fof(f11008,plain,(
% 173.81/22.45 ![X0]: (~member(X0,null_class))),
% 173.81/22.45 inference(backward_demodulation,[status(thm)],[f10976,f10923])).
% 173.81/22.45 fof(f11086,plain,(
% 173.81/22.45 ![X0,X1]: (restrict(null_class,X0,X1)=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f11008,f4482])).
% 173.81/22.45 fof(f11306,plain,(
% 173.81/22.45 ![X0]: (~member(X0,domain_of(null_class)))),
% 173.81/22.45 inference(resolution,[status(thm)],[f11086,f153])).
% 173.81/22.45 fof(f15447,plain,(
% 173.81/22.45 domain_of(null_class)=null_class),
% 173.81/22.45 inference(resolution,[status(thm)],[f11306,f189])).
% 173.81/22.45 fof(f24872,plain,(
% 173.81/22.45 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class|cross_product(X0,X1)=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f4070,f189])).
% 173.81/22.45 fof(f24901,plain,(
% 173.81/22.45 ![X0,X1]: (member(second(regular(cross_product(X0,X1))),X1)|cross_product(X0,X1)=null_class)),
% 173.81/22.45 inference(duplicate_literals_removal,[status(thm)],[f24872])).
% 173.81/22.45 fof(f28656,plain,(
% 173.81/22.45 ![X0]: (cross_product(X0,null_class)=null_class)),
% 173.81/22.45 inference(resolution,[status(thm)],[f24901,f11008])).
% 173.81/22.45 fof(f33075,plain,(
% 173.81/22.45 ![X0,X1]: (member(regular(restrict(X0,X1,null_class)),null_class)|restrict(X0,X1,null_class)=null_class)),
% 173.81/22.45 inference(paramodulation,[status(thm)],[f28656,f4513])).
% 173.81/22.45 fof(f33137,plain,(
% 173.81/22.45 ![X0,X1]: (restrict(X0,X1,null_class)=null_class)),
% 173.81/22.45 inference(forward_subsumption_resolution,[status(thm)],[f33075,f11008])).
% 173.81/22.45 fof(f33313,plain,(
% 173.81/22.45 ~domain_of(null_class)=null_class),
% 173.81/22.45 inference(backward_demodulation,[status(thm)],[f33137,f254])).
% 173.81/22.45 fof(f33388,plain,(
% 173.81/22.45 ~null_class=null_class),
% 173.81/22.45 inference(forward_demodulation,[status(thm)],[f15447,f33313])).
% 173.81/22.45 fof(f33389,plain,(
% 21.80/22.63 $false),
% 21.80/22.63 inference(trivial_equality_resolution,[status(thm)],[f33388])).
% 21.80/22.63 % SZS output end CNFRefutation for theBenchmark.p
% 21.80/22.63 % Elapsed time: 22.167828 seconds
% 21.80/22.63 % CPU time: 174.918634 seconds
% 21.80/22.63 % Total memory used: 956.021 MB
% 21.80/22.63 % Net memory used: 847.185 MB
%------------------------------------------------------------------------------