%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM156-1 : 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 : n018.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 3.19s 0.89s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM156-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 02:11:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 3.19/0.89 % Refutation found
% 3.19/0.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.19/0.89 % SZS output start CNFRefutation for theBenchmark
% 3.19/0.89 fof(f1,axiom,(
% 3.19/0.89 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f4,axiom,(
% 3.19/0.89 (![X]: (subclass(X,universal_class) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f9,axiom,(
% 3.19/0.89 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f12,axiom,(
% 3.19/0.89 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f21,axiom,(
% 3.19/0.89 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f24,axiom,(
% 3.19/0.89 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f25,axiom,(
% 3.19/0.89 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f26,axiom,(
% 3.19/0.89 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f47,axiom,(
% 3.19/0.89 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f50,axiom,(
% 3.19/0.89 inductive(omega) ),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f138,axiom,(
% 3.19/0.89 union(singleton(null_class),image(successor_relation,ordinal_numbers)) = kind_1_ordinals ),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f159,negated_conjecture,(
% 3.19/0.89 ~ member(null_class,kind_1_ordinals) ),
% 3.19/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.19/0.89 fof(f160,plain,(
% 3.19/0.89 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 3.19/0.89 inference(miniscoping,[status(thm)],[f1])).
% 3.19/0.89 fof(f161,plain,(
% 3.19/0.89 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f160])).
% 3.19/0.89 fof(f164,plain,(
% 3.19/0.89 ![X0]: (subclass(X0,universal_class))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f4])).
% 3.19/0.89 fof(f170,plain,(
% 3.19/0.89 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 3.19/0.89 inference(miniscoping,[status(thm)],[f9])).
% 3.19/0.89 fof(f171,plain,(
% 3.19/0.89 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f170])).
% 3.19/0.89 fof(f175,plain,(
% 3.19/0.89 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f12])).
% 3.19/0.89 fof(f187,plain,(
% 3.19/0.89 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 3.19/0.89 inference(miniscoping,[status(thm)],[f21])).
% 3.19/0.89 fof(f188,plain,(
% 3.19/0.89 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f187])).
% 3.19/0.89 fof(f192,plain,(
% 3.19/0.89 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f24])).
% 3.19/0.89 fof(f193,plain,(
% 3.19/0.89 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f25])).
% 3.19/0.89 fof(f194,plain,(
% 3.19/0.89 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f26])).
% 3.19/0.89 fof(f215,plain,(
% 3.19/0.89 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f47])).
% 3.19/0.89 fof(f218,plain,(
% 3.19/0.89 inductive(omega)),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f50])).
% 3.19/0.89 fof(f322,plain,(
% 3.19/0.89 union(singleton(null_class),image(successor_relation,ordinal_numbers))=kind_1_ordinals),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f138])).
% 3.19/0.89 fof(f347,plain,(
% 3.19/0.89 ~member(null_class,kind_1_ordinals)),
% 3.19/0.89 inference(cnf_transformation,[status(thm)],[f159])).
% 3.19/0.89 fof(f357,plain,(
% 3.19/0.89 member(null_class,omega)),
% 3.19/0.89 inference(resolution,[status(thm)],[f218,f215])).
% 3.19/0.89 fof(f368,plain,(
% 3.19/0.89 ![X0]: (~subclass(omega,X0)|member(null_class,X0))),
% 3.19/0.89 inference(resolution,[status(thm)],[f357,f161])).
% 3.19/0.89 fof(f512,plain,(
% 3.19/0.89 member(null_class,universal_class)),
% 3.19/0.89 inference(resolution,[status(thm)],[f368,f164])).
% 1.96/0.91 fof(f517,plain,(
% 1.96/0.91 ![X0]: (member(null_class,unordered_pair(null_class,X0)))),
% 1.96/0.91 inference(resolution,[status(thm)],[f512,f171])).
% 1.96/0.91 fof(f527,plain,(
% 1.96/0.91 member(null_class,singleton(null_class))),
% 1.96/0.91 inference(paramodulation,[status(thm)],[f175,f517])).
% 1.96/0.91 fof(f546,plain,(
% 1.96/0.91 ![X0]: (member(null_class,complement(X0))|member(null_class,X0))),
% 1.96/0.91 inference(resolution,[status(thm)],[f193,f512])).
% 1.96/0.91 fof(f617,plain,(
% 1.96/0.91 ![X0,X1]: (member(null_class,union(X0,X1))|member(null_class,intersection(complement(X0),complement(X1))))),
% 1.96/0.91 inference(paramodulation,[status(thm)],[f194,f546])).
% 1.96/0.91 fof(f820,plain,(
% 1.96/0.91 ![X0,X1]: (member(null_class,union(X0,X1))|member(null_class,complement(X0)))),
% 1.96/0.91 inference(resolution,[status(thm)],[f617,f188])).
% 1.96/0.91 fof(f840,plain,(
% 1.96/0.91 member(null_class,kind_1_ordinals)|member(null_class,complement(singleton(null_class)))),
% 1.96/0.91 inference(paramodulation,[status(thm)],[f322,f820])).
% 1.96/0.91 fof(f843,plain,(
% 1.96/0.91 member(null_class,complement(singleton(null_class)))),
% 1.96/0.91 inference(forward_subsumption_resolution,[status(thm)],[f840,f347])).
% 1.96/0.91 fof(f846,plain,(
% 1.96/0.91 ~member(null_class,singleton(null_class))),
% 1.96/0.91 inference(resolution,[status(thm)],[f843,f192])).
% 1.96/0.91 fof(f850,plain,(
% 1.96/0.91 $false),
% 1.96/0.91 inference(forward_subsumption_resolution,[status(thm)],[f846,f527])).
% 1.96/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 1.96/0.93 % Elapsed time: 0.544249 seconds
% 1.96/0.93 % CPU time: 3.952476 seconds
% 1.96/0.93 % Total memory used: 189.221 MB
% 1.96/0.93 % Net memory used: 183.750 MB
%------------------------------------------------------------------------------