%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM142-1 : 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 : n007.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 01:42:18 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM142-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:05:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.42 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.57 fof(f1,axiom,(
% 0.14/0.57 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f2,axiom,(
% 0.14/0.57 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f3,axiom,(
% 0.14/0.57 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f4,axiom,(
% 0.14/0.57 (![X]: (subclass(X,universal_class) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f21,axiom,(
% 0.14/0.57 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f24,axiom,(
% 0.14/0.57 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f25,axiom,(
% 0.14/0.57 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f26,axiom,(
% 0.14/0.57 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f43,axiom,(
% 0.14/0.57 (![X]: (union(X,singleton(X)) = successor(X) ))),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f159,negated_conjecture,(
% 0.14/0.57 ~ subclass(x,successor(x)) ),
% 0.14/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f160,plain,(
% 0.14/0.57 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.57 fof(f161,plain,(
% 0.14/0.57 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f160])).
% 0.14/0.57 fof(f162,plain,(
% 0.14/0.57 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.57 fof(f163,plain,(
% 0.14/0.57 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.57 fof(f164,plain,(
% 0.14/0.57 ![X0]: (subclass(X0,universal_class))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.57 fof(f187,plain,(
% 0.14/0.57 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f21])).
% 0.14/0.57 fof(f188,plain,(
% 0.14/0.57 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f187])).
% 0.14/0.57 fof(f192,plain,(
% 0.14/0.57 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.57 fof(f193,plain,(
% 0.14/0.57 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.57 fof(f194,plain,(
% 0.14/0.57 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.57 fof(f211,plain,(
% 0.14/0.57 ![X0]: (union(X0,singleton(X0))=successor(X0))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.57 fof(f347,plain,(
% 0.14/0.57 ~subclass(x,successor(x))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f159])).
% 0.14/0.57 fof(f914,plain,(
% 0.14/0.57 ![X0,X1,X2]: (~subclass(X0,X1)|member(not_subclass_element(X0,X2),X1)|subclass(X0,X2))),
% 0.14/0.57 inference(resolution,[status(thm)],[f161,f162])).
% 0.14/0.57 fof(f918,plain,(
% 0.14/0.57 ![X0,X1]: (member(not_subclass_element(X0,X1),universal_class)|subclass(X0,X1))),
% 0.14/0.57 inference(resolution,[status(thm)],[f914,f164])).
% 0.14/0.57 fof(f1090,plain,(
% 0.14/0.57 ![X0,X1,X2]: (member(not_subclass_element(X0,X1),complement(X2))|member(not_subclass_element(X0,X1),X2)|subclass(X0,X1))),
% 0.14/0.57 inference(resolution,[status(thm)],[f193,f918])).
% 0.14/0.57 fof(f1117,plain,(
% 0.14/0.57 ![X0,X1]: (member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1))|subclass(X0,complement(X1)))),
% 0.14/0.57 inference(resolution,[status(thm)],[f1090,f163])).
% 0.14/0.57 fof(f1128,plain,(
% 0.14/0.57 ![X0,X1]: (member(not_subclass_element(X0,complement(X1)),X1)|subclass(X0,complement(X1)))),
% 0.14/0.57 inference(duplicate_literals_removal,[status(thm)],[f1117])).
% 0.14/0.57 fof(f1145,plain,(
% 0.14/0.57 ![X0,X1,X2]: (member(not_subclass_element(X0,union(X1,X2)),intersection(complement(X1),complement(X2)))|subclass(X0,complement(intersection(complement(X1),complement(X2)))))),
% 0.14/0.57 inference(paramodulation,[status(thm)],[f194,f1128])).
% 0.14/0.57 fof(f1153,plain,(
% 0.14/0.57 ![X0,X1,X2]: (member(not_subclass_element(X0,union(X1,X2)),intersection(complement(X1),complement(X2)))|subclass(X0,union(X1,X2)))),
% 0.14/0.57 inference(forward_demodulation,[status(thm)],[f194,f1145])).
% 0.14/0.57 fof(f1156,plain,(
% 0.14/0.57 ![X0,X1,X2]: (subclass(X0,union(X1,X2))|member(not_subclass_element(X0,union(X1,X2)),complement(X1)))),
% 0.14/0.57 inference(resolution,[status(thm)],[f1153,f188])).
% 0.14/0.57 fof(f1230,plain,(
% 0.14/0.57 ![X0,X1]: (subclass(X0,union(X1,singleton(X1)))|member(not_subclass_element(X0,successor(X1)),complement(X1)))),
% 0.14/0.57 inference(paramodulation,[status(thm)],[f211,f1156])).
% 0.14/0.57 fof(f1249,plain,(
% 0.14/0.57 ![X0,X1]: (subclass(X0,successor(X1))|member(not_subclass_element(X0,successor(X1)),complement(X1)))),
% 0.14/0.57 inference(forward_demodulation,[status(thm)],[f211,f1230])).
% 0.14/0.57 fof(f1250,plain,(
% 0.14/0.57 ![X0,X1]: (subclass(X0,successor(X1))|~member(not_subclass_element(X0,successor(X1)),X1))),
% 0.14/0.57 inference(resolution,[status(thm)],[f1249,f192])).
% 0.14/0.57 fof(f1266,plain,(
% 0.14/0.57 ![X0]: (subclass(X0,successor(X0))|subclass(X0,successor(X0)))),
% 0.14/0.57 inference(resolution,[status(thm)],[f1250,f162])).
% 0.14/0.57 fof(f1270,plain,(
% 0.14/0.57 ![X0]: (subclass(X0,successor(X0)))),
% 0.14/0.57 inference(duplicate_literals_removal,[status(thm)],[f1266])).
% 0.14/0.57 fof(f1272,plain,(
% 0.14/0.57 $false),
% 0.14/0.57 inference(backward_subsumption_resolution,[status(thm)],[f347,f1270])).
% 0.14/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.62 % Elapsed time: 0.220687 seconds
% 0.14/0.62 % CPU time: 0.935472 seconds
% 0.14/0.62 % Total memory used: 116.916 MB
% 0.14/0.62 % Net memory used: 115.706 MB
%------------------------------------------------------------------------------