%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET079-6 : 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 : n017.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 02:11:28 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET079-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n017.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 04:45:58 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.57 % Refutation found
% 0.09/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.57 fof(f8,axiom,(
% 0.09/0.57 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f10,axiom,(
% 0.09/0.57 (![Y,X]: (( ~ member(Y,universal_class)| member(Y,unordered_pair(X,Y)) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f11,axiom,(
% 0.09/0.57 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f12,axiom,(
% 0.09/0.57 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f13,axiom,(
% 0.09/0.57 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f15,axiom,(
% 0.09/0.57 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f21,axiom,(
% 0.09/0.57 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f24,axiom,(
% 0.09/0.57 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f67,axiom,(
% 0.09/0.57 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f92,negated_conjecture,(
% 0.09/0.57 member(x,universal_class) ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f93,negated_conjecture,(
% 0.09/0.57 singleton(x) = null_class ),
% 0.09/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.57 fof(f102,plain,(
% 0.09/0.57 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f8])).
% 0.09/0.57 fof(f103,plain,(
% 0.09/0.57 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f102])).
% 0.09/0.57 fof(f106,plain,(
% 0.09/0.57 ![Y]: (~member(Y,universal_class)|(![X]: member(Y,unordered_pair(X,Y))))),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f10])).
% 0.09/0.57 fof(f107,plain,(
% 0.09/0.57 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X1,X0)))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f106])).
% 0.09/0.57 fof(f108,plain,(
% 0.09/0.57 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.57 fof(f109,plain,(
% 0.09/0.57 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.57 fof(f110,plain,(
% 0.09/0.57 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.57 fof(f113,plain,(
% 0.09/0.57 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f15])).
% 0.09/0.57 fof(f114,plain,(
% 0.09/0.57 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/0.57 fof(f121,plain,(
% 0.09/0.57 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.09/0.57 inference(miniscoping,[status(thm)],[f21])).
% 0.09/0.57 fof(f122,plain,(
% 0.09/0.57 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f121])).
% 0.09/0.57 fof(f126,plain,(
% 0.09/0.57 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.57 fof(f169,plain,(
% 0.09/0.57 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f67])).
% 0.09/0.57 fof(f199,plain,(
% 0.09/0.57 member(x,universal_class)),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f92])).
% 0.09/0.57 fof(f200,plain,(
% 0.09/0.57 singleton(x)=null_class),
% 0.09/0.57 inference(cnf_transformation,[status(thm)],[f93])).
% 0.09/0.57 fof(f213,plain,(
% 0.09/0.57 ![X0]: (member(singleton(X0),universal_class))),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f109,f108])).
% 0.09/0.57 fof(f214,plain,(
% 0.09/0.57 ![X0]: (~member(X0,universal_class)|member(X0,singleton(X0)))),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f109,f107])).
% 0.09/0.57 fof(f216,plain,(
% 0.09/0.57 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.09/0.57 inference(paramodulation,[status(thm)],[f109,f103])).
% 0.09/0.58 fof(f217,plain,(
% 0.09/0.58 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.09/0.58 inference(duplicate_literals_removal,[status(thm)],[f216])).
% 0.09/0.58 fof(f221,plain,(
% 0.09/0.58 ![X0,X1]: (member(ordered_pair(X0,X1),universal_class))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f110,f108])).
% 0.09/0.58 fof(f262,plain,(
% 0.09/0.58 member(null_class,universal_class)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f200,f213])).
% 0.09/0.58 fof(f431,plain,(
% 0.09/0.58 ![X0]: (~member(X0,null_class)|X0=x)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f200,f217])).
% 0.09/0.58 fof(f531,plain,(
% 0.09/0.58 ![X0,X1]: (~member(X0,null_class)|member(X0,X1)|X1=null_class)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f169,f122])).
% 0.09/0.58 fof(f644,plain,(
% 0.09/0.58 ~member(x,universal_class)|member(x,null_class)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f200,f214])).
% 0.09/0.58 fof(f645,plain,(
% 0.09/0.58 member(x,null_class)),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f644,f199])).
% 0.09/0.58 fof(f1709,plain,(
% 0.09/0.58 ![X0]: (member(x,X0)|X0=null_class)),
% 0.09/0.58 inference(resolution,[status(thm)],[f531,f645])).
% 0.09/0.58 fof(f1724,plain,(
% 0.09/0.58 ![X0]: (singleton(X0)=null_class|x=X0)),
% 0.09/0.58 inference(resolution,[status(thm)],[f1709,f217])).
% 0.09/0.58 fof(f1820,plain,(
% 0.09/0.58 ![X0]: (~member(X0,universal_class)|member(X0,null_class)|x=X0)),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f1724,f214])).
% 0.09/0.58 fof(f1842,plain,(
% 0.09/0.58 ![X0]: (~member(X0,universal_class)|x=X0)),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f1820,f431])).
% 0.09/0.58 fof(f1964,plain,(
% 0.09/0.58 x=null_class),
% 0.09/0.58 inference(resolution,[status(thm)],[f1842,f262])).
% 0.09/0.58 fof(f1965,plain,(
% 0.09/0.58 ![X0]: (x=singleton(X0))),
% 0.09/0.58 inference(resolution,[status(thm)],[f1842,f213])).
% 0.09/0.58 fof(f1966,plain,(
% 0.09/0.58 ![X0,X1]: (x=ordered_pair(X0,X1))),
% 0.09/0.58 inference(resolution,[status(thm)],[f1842,f221])).
% 0.09/0.58 fof(f2150,plain,(
% 0.09/0.58 member(null_class,null_class)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f1964,f645])).
% 0.09/0.58 fof(f2382,plain,(
% 0.09/0.58 ![X0,X1]: (~member(X0,null_class)|X0=X1)),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f2388,f217])).
% 0.09/0.58 fof(f2388,plain,(
% 0.09/0.58 ![X0]: (null_class=singleton(X0))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f1964,f1965])).
% 0.09/0.58 fof(f2414,plain,(
% 0.09/0.58 ![X0,X1,X2]: (~member(null_class,cross_product(X0,X1))|member(X2,X1))),
% 0.09/0.58 inference(backward_demodulation,[status(thm)],[f2416,f114])).
% 0.09/0.58 fof(f2416,plain,(
% 0.09/0.58 ![X0,X1]: (null_class=ordered_pair(X0,X1))),
% 0.09/0.58 inference(forward_demodulation,[status(thm)],[f1964,f1966])).
% 0.09/0.58 fof(f2496,plain,(
% 0.09/0.58 ![X0]: (null_class=X0)),
% 0.09/0.58 inference(resolution,[status(thm)],[f2382,f2150])).
% 0.09/0.58 fof(f2537,plain,(
% 0.09/0.58 ![X0,X1]: (~member(null_class,null_class)|member(X0,X1))),
% 0.09/0.58 inference(paramodulation,[status(thm)],[f2496,f2414])).
% 0.09/0.58 fof(f2538,plain,(
% 0.09/0.58 ![X0,X1]: (member(X0,X1))),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2537,f2150])).
% 0.09/0.58 fof(f2545,plain,(
% 0.09/0.58 ![X0,X1]: (~member(X0,complement(X1)))),
% 0.09/0.58 inference(backward_subsumption_resolution,[status(thm)],[f126,f2538])).
% 0.09/0.58 fof(f2548,plain,(
% 0.09/0.58 $false),
% 0.09/0.58 inference(forward_subsumption_resolution,[status(thm)],[f2545,f2538])).
% 0.09/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.00/0.61 % Elapsed time: 0.222255 seconds
% 1.00/0.61 % CPU time: 1.381100 seconds
% 1.00/0.61 % Total memory used: 131.971 MB
% 1.00/0.61 % Net memory used: 128.245 MB
%------------------------------------------------------------------------------