%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET123-6 : 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 : n020.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 02:11:37 PM UTC 2026
% Result : Unsatisfiable 32.46s 4.73s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET123-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:55:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 32.46/4.73 % Refutation found
% 32.46/4.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 32.46/4.73 % SZS output start CNFRefutation for theBenchmark
% 32.46/4.73 fof(f1,axiom,(
% 32.46/4.73 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f4,axiom,(
% 32.46/4.73 (![X]: (subclass(X,universal_class) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f8,axiom,(
% 32.46/4.73 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f12,axiom,(
% 32.46/4.73 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f21,axiom,(
% 32.46/4.73 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f22,axiom,(
% 32.46/4.73 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f23,axiom,(
% 32.46/4.73 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f24,axiom,(
% 32.46/4.73 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f25,axiom,(
% 32.46/4.73 (![Z,X]: (( ~ member(Z,universal_class)| member(Z,complement(X))| member(Z,X) ) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f26,axiom,(
% 32.46/4.73 (![X,Y]: (complement(intersection(complement(X),complement(Y))) = union(X,Y) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f27,axiom,(
% 32.46/4.73 (![X,Y]: (intersection(complement(intersection(X,Y)),complement(intersection(complement(X),complement(Y)))) = symmetric_difference(X,Y) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f92,axiom,(
% 32.46/4.73 (![X,Y]: (union(singleton(X),Y) = set_builder(X,Y) ))),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f93,negated_conjecture,(
% 32.46/4.73 member(x,set_builder(y,z)) ),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f94,negated_conjecture,(
% 32.46/4.73 x != y ),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f95,negated_conjecture,(
% 32.46/4.73 ~ member(x,z) ),
% 32.46/4.73 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 32.46/4.73 fof(f96,plain,(
% 32.46/4.73 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 32.46/4.73 inference(miniscoping,[status(thm)],[f1])).
% 32.46/4.73 fof(f97,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f96])).
% 32.46/4.73 fof(f100,plain,(
% 32.46/4.73 ![X0]: (subclass(X0,universal_class))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f4])).
% 32.46/4.73 fof(f104,plain,(
% 32.46/4.73 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 32.46/4.73 inference(miniscoping,[status(thm)],[f8])).
% 32.46/4.73 fof(f105,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f104])).
% 32.46/4.73 fof(f111,plain,(
% 32.46/4.73 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f12])).
% 32.46/4.73 fof(f123,plain,(
% 32.46/4.73 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 32.46/4.73 inference(miniscoping,[status(thm)],[f21])).
% 32.46/4.73 fof(f124,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f123])).
% 32.46/4.73 fof(f125,plain,(
% 32.46/4.73 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 32.46/4.73 inference(miniscoping,[status(thm)],[f22])).
% 32.46/4.73 fof(f126,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f125])).
% 32.46/4.73 fof(f127,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f23])).
% 32.46/4.73 fof(f128,plain,(
% 32.46/4.73 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f24])).
% 32.46/4.73 fof(f129,plain,(
% 32.46/4.73 ![X0,X1]: (~member(X0,universal_class)|member(X0,complement(X1))|member(X0,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f25])).
% 32.46/4.73 fof(f130,plain,(
% 32.46/4.73 ![X0,X1]: (complement(intersection(complement(X0),complement(X1)))=union(X0,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f26])).
% 32.46/4.73 fof(f131,plain,(
% 32.46/4.73 ![X0,X1]: (intersection(complement(intersection(X0,X1)),complement(intersection(complement(X0),complement(X1))))=symmetric_difference(X0,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f27])).
% 32.46/4.73 fof(f201,plain,(
% 32.46/4.73 ![X0,X1]: (union(singleton(X0),X1)=set_builder(X0,X1))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f92])).
% 32.46/4.73 fof(f202,plain,(
% 32.46/4.73 member(x,set_builder(y,z))),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f93])).
% 32.46/4.73 fof(f203,plain,(
% 32.46/4.73 ~x=y),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f94])).
% 32.46/4.73 fof(f204,plain,(
% 32.46/4.73 ~member(x,z)),
% 32.46/4.73 inference(cnf_transformation,[status(thm)],[f95])).
% 32.46/4.73 fof(f207,plain,(
% 32.46/4.73 ![X0,X1]: (intersection(complement(intersection(X0,X1)),union(X0,X1))=symmetric_difference(X0,X1))),
% 32.46/4.73 inference(forward_demodulation,[status(thm)],[f130,f131])).
% 32.46/4.73 fof(f211,plain,(
% 32.46/4.73 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 32.46/4.73 inference(resolution,[status(thm)],[f100,f97])).
% 32.46/4.73 fof(f238,plain,(
% 32.46/4.73 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 32.46/4.73 inference(paramodulation,[status(thm)],[f111,f105])).
% 32.46/4.73 fof(f239,plain,(
% 32.46/4.73 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 32.46/4.73 inference(duplicate_literals_removal,[status(thm)],[f238])).
% 32.46/4.73 fof(f265,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,union(X1,X2))|~member(X0,intersection(complement(X1),complement(X2))))),
% 32.46/4.73 inference(paramodulation,[status(thm)],[f130,f128])).
% 32.46/4.73 fof(f268,plain,(
% 32.46/4.73 ![X0,X1]: (intersection(complement(intersection(singleton(X0),X1)),set_builder(X0,X1))=symmetric_difference(singleton(X0),X1))),
% 32.46/4.73 inference(paramodulation,[status(thm)],[f201,f207])).
% 32.46/4.73 fof(f271,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,symmetric_difference(X1,X2))|member(X0,complement(intersection(X1,X2))))),
% 32.46/4.73 inference(paramodulation,[status(thm)],[f207,f124])).
% 32.46/4.73 fof(f277,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,complement(intersection(singleton(X1),X2)))|~member(X0,set_builder(X1,X2))|member(X0,symmetric_difference(singleton(X1),X2)))),
% 32.46/4.73 inference(paramodulation,[status(thm)],[f268,f127])).
% 32.46/4.73 fof(f286,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,set_builder(X1,X2))|member(X0,symmetric_difference(singleton(X1),X2))|~member(X0,universal_class)|member(X0,intersection(singleton(X1),X2)))),
% 32.46/4.73 inference(resolution,[status(thm)],[f277,f129])).
% 32.46/4.73 fof(f287,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,set_builder(X1,X2))|member(X0,symmetric_difference(singleton(X1),X2))|member(X0,intersection(singleton(X1),X2)))),
% 32.46/4.73 inference(forward_subsumption_resolution,[status(thm)],[f286,f211])).
% 32.46/4.73 fof(f354,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,set_builder(X1,X2))|member(X0,symmetric_difference(singleton(X1),X2))|member(X0,X2))),
% 32.46/4.73 inference(resolution,[status(thm)],[f287,f126])).
% 32.46/4.73 fof(f467,plain,(
% 32.46/4.73 member(x,symmetric_difference(singleton(y),z))|member(x,z)),
% 32.46/4.73 inference(resolution,[status(thm)],[f354,f202])).
% 32.46/4.73 fof(f469,plain,(
% 32.46/4.73 member(x,symmetric_difference(singleton(y),z))),
% 32.46/4.73 inference(forward_subsumption_resolution,[status(thm)],[f467,f204])).
% 32.46/4.73 fof(f533,plain,(
% 32.46/4.73 member(x,complement(intersection(singleton(y),z)))),
% 32.46/4.73 inference(resolution,[status(thm)],[f469,f271])).
% 32.46/4.73 fof(f1697,plain,(
% 32.46/4.73 ![X0,X1,X2]: (~member(X0,set_builder(X1,X2))|~member(X0,intersection(complement(singleton(X1)),complement(X2))))),
% 32.46/4.73 inference(paramodulation,[status(thm)],[f201,f265])).
% 32.46/4.73 fof(f2494,plain,(
% 32.46/4.73 ~member(x,intersection(complement(singleton(y)),complement(z)))),
% 32.46/4.73 inference(resolution,[status(thm)],[f1697,f202])).
% 32.46/4.73 fof(f2726,plain,(
% 32.46/4.73 ~member(x,complement(singleton(y)))|~member(x,complement(z))),
% 32.46/4.73 inference(resolution,[status(thm)],[f2494,f127])).
% 32.46/4.73 fof(f3413,plain,(
% 32.46/4.73 ~member(x,complement(z))|~member(x,universal_class)|member(x,singleton(y))),
% 32.46/4.73 inference(resolution,[status(thm)],[f2726,f129])).
% 32.46/4.73 fof(f3414,plain,(
% 32.46/4.73 ~member(x,complement(z))|member(x,singleton(y))),
% 32.46/4.73 inference(forward_subsumption_resolution,[status(thm)],[f3413,f211])).
% 32.46/4.73 fof(f3590,plain,(
% 32.46/4.73 member(x,singleton(y))|~member(x,universal_class)|member(x,z)),
% 32.46/4.73 inference(resolution,[status(thm)],[f3414,f129])).
% 32.46/4.73 fof(f3591,plain,(
% 32.46/4.73 member(x,singleton(y))|~member(x,universal_class)),
% 32.46/4.73 inference(forward_subsumption_resolution,[status(thm)],[f3590,f204])).
% 33.13/4.80 fof(f4499,plain,(
% 33.13/4.80 ![X0]: (member(x,singleton(y))|~member(x,X0))),
% 33.13/4.80 inference(resolution,[status(thm)],[f3591,f211])).
% 33.13/4.80 fof(f4500,plain,(
% 33.13/4.80 ![X0]: (~member(x,X0)|x=y)),
% 33.13/4.80 inference(resolution,[status(thm)],[f4499,f239])).
% 33.13/4.80 fof(f4504,plain,(
% 33.13/4.80 ![X0]: (~member(x,X0))),
% 33.13/4.80 inference(forward_subsumption_resolution,[status(thm)],[f4500,f203])).
% 33.13/4.80 fof(f4505,plain,(
% 33.13/4.80 $false),
% 33.13/4.80 inference(backward_subsumption_resolution,[status(thm)],[f533,f4504])).
% 33.13/4.80 % SZS output end CNFRefutation for theBenchmark.p
% 33.13/4.81 % Elapsed time: 4.434451 seconds
% 33.13/4.81 % CPU time: 34.629960 seconds
% 33.13/4.81 % Total memory used: 496.061 MB
% 33.13/4.81 % Net memory used: 453.796 MB
%------------------------------------------------------------------------------