%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET186-6 : 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 : n015.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 02:11:44 PM UTC 2026
% Result : Unsatisfiable 0.65s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET186-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 05:02:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.65/0.57 % Refutation found
% 0.65/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.65/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.65/0.57 fof(f1,axiom,(
% 0.65/0.57 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f2,axiom,(
% 0.65/0.57 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f3,axiom,(
% 0.65/0.57 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f4,axiom,(
% 0.65/0.57 (![X]: (subclass(X,universal_class) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f21,axiom,(
% 0.65/0.57 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f24,axiom,(
% 0.65/0.57 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f25,axiom,(
% 0.65/0.57 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f26,axiom,(
% 0.65/0.57 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f113,negated_conjecture,(
% 0.65/0.57 union(x,y) = y ),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f114,negated_conjecture,(
% 0.65/0.57 ~ subclass(x,y) ),
% 0.65/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.65/0.57 fof(f115,plain,(
% 0.65/0.57 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.65/0.57 inference(miniscoping,[status(thm)],[f1])).
% 0.65/0.57 fof(f116,plain,(
% 0.65/0.57 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f115])).
% 0.65/0.57 fof(f117,plain,(
% 0.65/0.57 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.65/0.57 fof(f118,plain,(
% 0.65/0.57 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.65/0.57 fof(f119,plain,(
% 0.65/0.57 ![X0]: (subclass(X0,universal_class))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.65/0.57 fof(f142,plain,(
% 0.65/0.57 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.65/0.57 inference(miniscoping,[status(thm)],[f21])).
% 0.65/0.57 fof(f143,plain,(
% 0.65/0.57 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f142])).
% 0.65/0.57 fof(f147,plain,(
% 0.65/0.57 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.65/0.57 fof(f148,plain,(
% 0.65/0.57 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.65/0.57 fof(f149,plain,(
% 0.65/0.57 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f26])).
% 0.65/0.57 fof(f246,plain,(
% 0.65/0.57 union(x,y)=y),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f113])).
% 0.65/0.57 fof(f247,plain,(
% 0.65/0.57 ~subclass(x,y)),
% 0.65/0.57 inference(cnf_transformation,[status(thm)],[f114])).
% 0.65/0.57 fof(f271,plain,(
% 0.65/0.57 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X0,X2)|member(not_subclass_element(X0,X1),X2))),
% 0.65/0.57 inference(resolution,[status(thm)],[f117,f116])).
% 0.65/0.57 fof(f273,plain,(
% 0.65/0.57 ![X0,X1]: (subclass(X0,X1)|member(not_subclass_element(X0,X1),universal_class))),
% 0.65/0.57 inference(resolution,[status(thm)],[f271,f119])).
% 0.65/0.57 fof(f299,plain,(
% 0.65/0.57 ![X0,X1]: (~member(not_subclass_element(X0,complement(X1)),universal_class)|member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1)))),
% 0.65/0.57 inference(resolution,[status(thm)],[f148,f118])).
% 0.65/0.57 fof(f303,plain,(
% 0.65/0.57 ![X0,X1]: (member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1)))),
% 0.65/0.57 inference(forward_subsumption_resolution,[status(thm)],[f299,f273])).
% 0.65/0.57 fof(f306,plain,(
% 0.65/0.57 ![X0,X1,X2]: (subclass(X0,complement(intersection(X1,X2)))|member(not_subclass_element(X0,complement(intersection(X1,X2))),X1))),
% 0.65/0.57 inference(resolution,[status(thm)],[f303,f143])).
% 0.65/0.57 fof(f341,plain,(
% 0.65/0.57 ![X0,X1,X2]: (subclass(X0,complement(intersection(complement(X1),complement(X2))))|member(not_subclass_element(X0,union(X1,X2)),complement(X1)))),
% 0.65/0.58 inference(paramodulation,[status(thm)],[f149,f306])).
% 0.65/0.58 fof(f342,plain,(
% 0.65/0.58 ![X0,X1,X2]: (subclass(X0,union(X1,X2))|member(not_subclass_element(X0,union(X1,X2)),complement(X1)))),
% 0.65/0.58 inference(forward_demodulation,[status(thm)],[f149,f341])).
% 0.65/0.58 fof(f345,plain,(
% 0.65/0.58 ![X0]: (subclass(X0,union(x,y))|member(not_subclass_element(X0,y),complement(x)))),
% 0.65/0.58 inference(paramodulation,[status(thm)],[f246,f342])).
% 0.65/0.58 fof(f348,plain,(
% 0.65/0.58 ![X0]: (subclass(X0,y)|member(not_subclass_element(X0,y),complement(x)))),
% 0.65/0.58 inference(forward_demodulation,[status(thm)],[f246,f345])).
% 0.65/0.58 fof(f350,plain,(
% 0.65/0.58 ![X0]: (subclass(X0,y)|~member(not_subclass_element(X0,y),x))),
% 0.65/0.58 inference(resolution,[status(thm)],[f348,f147])).
% 0.65/0.58 fof(f772,plain,(
% 0.65/0.58 subclass(x,y)|subclass(x,y)),
% 0.65/0.58 inference(resolution,[status(thm)],[f350,f117])).
% 0.65/0.58 fof(f777,plain,(
% 0.65/0.58 subclass(x,y)),
% 0.65/0.58 inference(duplicate_literals_removal,[status(thm)],[f772])).
% 0.65/0.58 fof(f778,plain,(
% 0.65/0.58 $false),
% 0.65/0.58 inference(forward_subsumption_resolution,[status(thm)],[f777,f247])).
% 0.65/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.65/0.59 % Elapsed time: 0.206351 seconds
% 0.65/0.59 % CPU time: 1.335882 seconds
% 0.65/0.59 % Total memory used: 136.738 MB
% 0.65/0.59 % Net memory used: 134.755 MB
%------------------------------------------------------------------------------