%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET050-6 : 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 : 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 02:11:20 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET050-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:48:11 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f1,axiom,(
% 0.12/0.39 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f4,axiom,(
% 0.12/0.39 (![X]: (subclass(X,universal_class) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f9,axiom,(
% 0.12/0.39 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f14,axiom,(
% 0.12/0.39 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f25,axiom,(
% 0.12/0.39 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f92,negated_conjecture,(
% 0.12/0.39 member(ordered_pair(x,y),cross_product(u,v)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f93,negated_conjecture,(
% 0.12/0.39 ~ member(x,unordered_pair(x,y)) ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f94,plain,(
% 0.12/0.39 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.39 fof(f95,plain,(
% 0.12/0.39 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f94])).
% 0.12/0.39 fof(f98,plain,(
% 0.12/0.39 ![X0]: (subclass(X0,universal_class))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.39 fof(f104,plain,(
% 0.12/0.39 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.39 fof(f105,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f104])).
% 0.12/0.39 fof(f111,plain,(
% 0.12/0.39 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.12/0.39 fof(f112,plain,(
% 0.12/0.39 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f111])).
% 0.12/0.39 fof(f127,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f25])).
% 0.12/0.39 fof(f199,plain,(
% 0.12/0.39 member(ordered_pair(x,y),cross_product(u,v))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f92])).
% 0.12/0.39 fof(f200,plain,(
% 0.12/0.39 ~member(x,unordered_pair(x,y))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f93])).
% 0.12/0.39 fof(f233,plain,(
% 0.12/0.39 member(x,u)),
% 0.12/0.39 inference(resolution,[status(thm)],[f112,f199])).
% 0.12/0.39 fof(f257,plain,(
% 0.12/0.39 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.12/0.39 inference(resolution,[status(thm)],[f95,f98])).
% 0.12/0.39 fof(f578,plain,(
% 0.12/0.39 member(x,universal_class)),
% 0.12/0.39 inference(resolution,[status(thm)],[f257,f233])).
% 0.12/0.39 fof(f650,plain,(
% 0.12/0.39 ![X0]: (member(x,complement(X0))|member(x,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f127,f578])).
% 0.12/0.39 fof(f668,plain,(
% 0.12/0.39 ![X0]: (member(x,X0)|member(x,universal_class))),
% 0.12/0.39 inference(resolution,[status(thm)],[f650,f257])).
% 0.12/0.39 fof(f672,definition,(
% 0.12/0.39 ![X0]: (sQ16_spl <=> (member(x,X0)))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f673,plain,(
% 0.12/0.39 ![X0]: (member(x,X0)|~sQ16_spl)),
% 0.12/0.39 inference(component_clause,[status(thm)],[f672])).
% 0.12/0.39 fof(f675,definition,(
% 0.12/0.39 sQ17_spl <=> (member(x,universal_class))),
% 0.12/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.39 fof(f676,plain,(
% 0.12/0.39 member(x,universal_class)|~sQ17_spl),
% 0.12/0.39 inference(component_clause,[status(thm)],[f675])).
% 0.12/0.39 fof(f678,plain,(
% 0.12/0.39 sQ16_spl|sQ17_spl),
% 0.12/0.39 inference(split_clause,[status(thm)],[f668,f672,f675])).
% 0.12/0.39 fof(f692,plain,(
% 0.12/0.39 $false|~sQ16_spl),
% 0.12/0.39 inference(backward_subsumption_resolution,[status(thm)],[f200,f673])).
% 0.12/0.39 fof(f703,plain,(
% 0.12/0.39 ~sQ16_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f692])).
% 0.12/0.39 fof(f737,plain,(
% 0.12/0.39 ![X0]: (member(x,unordered_pair(x,X0))|~sQ17_spl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f676,f105])).
% 0.12/0.39 fof(f848,plain,(
% 0.12/0.39 $false|~sQ17_spl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f200,f737])).
% 0.12/0.39 fof(f849,plain,(
% 0.12/0.39 ~sQ17_spl),
% 0.12/0.39 inference(contradiction_clause,[status(thm)],[f848])).
% 0.12/0.39 fof(f850,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(sat_refutation,[status(thm)],[f678,f703,f849])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.058046 seconds
% 0.12/0.41 % CPU time: 0.191145 seconds
% 0.12/0.41 % Total memory used: 96.142 MB
% 0.12/0.41 % Net memory used: 95.962 MB
%------------------------------------------------------------------------------