%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM042-1 : 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 : n002.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 01:42:11 PM UTC 2026
% Result : Unsatisfiable 7.27s 1.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM042-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 02:02:31 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 7.27/1.37 % Refutation found
% 7.27/1.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.27/1.37 % SZS output start CNFRefutation for theBenchmark
% 7.27/1.37 fof(f1,axiom,(
% 7.27/1.37 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f2,axiom,(
% 7.27/1.37 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f3,axiom,(
% 7.27/1.37 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f21,axiom,(
% 7.27/1.37 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f28,axiom,(
% 7.27/1.37 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f115,axiom,(
% 7.27/1.37 (![X,Y]: (( ~ subclass(restrict(X,Y,Y),complement(identity_relation))| irreflexive(X,Y) ) ))),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f159,negated_conjecture,(
% 7.27/1.37 subclass(x,complement(identity_relation)) ),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f160,negated_conjecture,(
% 7.27/1.37 ~ irreflexive(x,domain_of(symmetrization_of(x))) ),
% 7.27/1.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.27/1.37 fof(f161,plain,(
% 7.27/1.37 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 7.27/1.37 inference(miniscoping,[status(thm)],[f1])).
% 7.27/1.37 fof(f162,plain,(
% 7.27/1.37 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f161])).
% 7.27/1.37 fof(f163,plain,(
% 7.27/1.37 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f2])).
% 7.27/1.37 fof(f164,plain,(
% 7.27/1.37 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f3])).
% 7.27/1.37 fof(f188,plain,(
% 7.27/1.37 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 7.27/1.37 inference(miniscoping,[status(thm)],[f21])).
% 7.27/1.37 fof(f189,plain,(
% 7.27/1.37 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f188])).
% 7.27/1.37 fof(f197,plain,(
% 7.27/1.37 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f28])).
% 7.27/1.37 fof(f294,plain,(
% 7.27/1.37 ![X0,X1]: (~subclass(restrict(X0,X1,X1),complement(identity_relation))|irreflexive(X0,X1))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f115])).
% 7.27/1.37 fof(f348,plain,(
% 7.27/1.37 subclass(x,complement(identity_relation))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f159])).
% 7.27/1.37 fof(f349,plain,(
% 7.27/1.37 ~irreflexive(x,domain_of(symmetrization_of(x)))),
% 7.27/1.37 inference(cnf_transformation,[status(thm)],[f160])).
% 7.27/1.37 fof(f352,plain,(
% 7.27/1.37 ![X0]: (~member(X0,x)|member(X0,complement(identity_relation)))),
% 7.27/1.37 inference(resolution,[status(thm)],[f162,f348])).
% 7.27/1.37 fof(f445,plain,(
% 7.27/1.37 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 7.27/1.37 inference(resolution,[status(thm)],[f189,f163])).
% 7.27/1.37 fof(f3844,plain,(
% 7.27/1.37 ![X0,X1]: (subclass(intersection(x,X0),X1)|member(not_subclass_element(intersection(x,X0),X1),complement(identity_relation)))),
% 7.27/1.37 inference(resolution,[status(thm)],[f445,f352])).
% 7.27/1.37 fof(f4007,plain,(
% 7.27/1.37 ![X0]: (subclass(intersection(x,X0),complement(identity_relation))|subclass(intersection(x,X0),complement(identity_relation)))),
% 7.27/1.37 inference(resolution,[status(thm)],[f3844,f164])).
% 7.27/1.37 fof(f4039,plain,(
% 7.27/1.37 ![X0]: (subclass(intersection(x,X0),complement(identity_relation)))),
% 7.27/1.37 inference(duplicate_literals_removal,[status(thm)],[f4007])).
% 7.27/1.37 fof(f4432,plain,(
% 7.27/1.37 ![X0,X1]: (subclass(restrict(x,X0,X1),complement(identity_relation)))),
% 7.27/1.37 inference(paramodulation,[status(thm)],[f197,f4039])).
% 7.27/1.37 fof(f5458,plain,(
% 7.27/1.37 ![X0]: (irreflexive(x,X0))),
% 7.27/1.37 inference(resolution,[status(thm)],[f4432,f294])).
% 7.27/1.37 fof(f5484,plain,(
% 7.27/1.37 $false),
% 7.27/1.37 inference(backward_subsumption_resolution,[status(thm)],[f349,f5458])).
% 7.27/1.37 % SZS output end CNFRefutation for theBenchmark.p
% 7.27/1.38 % Elapsed time: 1.005304 seconds
% 7.27/1.38 % CPU time: 7.606819 seconds
% 7.27/1.38 % Total memory used: 212.276 MB
% 7.27/1.38 % Net memory used: 196.282 MB
%------------------------------------------------------------------------------