%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET254-6 : 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 : n001.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 02:11:50 PM UTC 2026
% Result : Unsatisfiable 23.05s 3.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:08:31 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 23.05/3.43 % Refutation found
% 23.05/3.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.05/3.43 % SZS output start CNFRefutation for theBenchmark
% 23.05/3.43 fof(f1,axiom,(
% 23.05/3.43 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f2,axiom,(
% 23.05/3.43 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f3,axiom,(
% 23.05/3.43 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f21,axiom,(
% 23.05/3.43 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f22,axiom,(
% 23.05/3.43 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f23,axiom,(
% 23.05/3.43 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f28,axiom,(
% 23.05/3.43 (![Xr,X,Y]: (intersection(Xr,cross_product(X,Y)) = restrict(Xr,X,Y) ))),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f113,negated_conjecture,(
% 23.05/3.43 subclass(x1,x2) ),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f114,negated_conjecture,(
% 23.05/3.43 ~ subclass(restrict(x1,y,z),restrict(x2,y,z)) ),
% 23.05/3.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.05/3.43 fof(f115,plain,(
% 23.05/3.43 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 23.05/3.43 inference(miniscoping,[status(thm)],[f1])).
% 23.05/3.43 fof(f116,plain,(
% 23.05/3.43 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f115])).
% 23.05/3.43 fof(f117,plain,(
% 23.05/3.43 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f2])).
% 23.05/3.43 fof(f118,plain,(
% 23.05/3.43 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f3])).
% 23.05/3.43 fof(f142,plain,(
% 23.05/3.43 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 23.05/3.43 inference(miniscoping,[status(thm)],[f21])).
% 23.05/3.43 fof(f143,plain,(
% 23.05/3.43 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f142])).
% 23.05/3.43 fof(f144,plain,(
% 23.05/3.43 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 23.05/3.43 inference(miniscoping,[status(thm)],[f22])).
% 23.05/3.43 fof(f145,plain,(
% 23.05/3.43 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f144])).
% 23.05/3.43 fof(f146,plain,(
% 23.05/3.43 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f23])).
% 23.05/3.43 fof(f151,plain,(
% 23.05/3.43 ![X0,X1,X2]: (intersection(X0,cross_product(X1,X2))=restrict(X0,X1,X2))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f28])).
% 23.05/3.43 fof(f246,plain,(
% 23.05/3.43 subclass(x1,x2)),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f113])).
% 23.05/3.43 fof(f247,plain,(
% 23.05/3.43 ~subclass(restrict(x1,y,z),restrict(x2,y,z))),
% 23.05/3.43 inference(cnf_transformation,[status(thm)],[f114])).
% 23.05/3.43 fof(f255,plain,(
% 23.05/3.43 ![X0]: (~member(X0,x1)|member(X0,x2))),
% 23.05/3.43 inference(resolution,[status(thm)],[f116,f246])).
% 23.05/3.43 fof(f377,plain,(
% 23.05/3.43 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X0)|subclass(intersection(X0,X1),X2))),
% 23.05/3.43 inference(resolution,[status(thm)],[f143,f117])).
% 23.05/3.43 fof(f382,plain,(
% 23.05/3.43 ![X0,X1,X2]: (member(not_subclass_element(intersection(X0,X1),X2),X1)|subclass(intersection(X0,X1),X2))),
% 23.05/3.43 inference(resolution,[status(thm)],[f145,f117])).
% 23.05/3.43 fof(f8043,plain,(
% 23.05/3.43 ![X0,X1]: (subclass(intersection(x1,X0),X1)|member(not_subclass_element(intersection(x1,X0),X1),x2))),
% 23.05/3.43 inference(resolution,[status(thm)],[f377,f255])).
% 23.05/3.43 fof(f8170,plain,(
% 23.05/3.43 ![X0,X1,X2]: (subclass(intersection(x1,X0),X1)|~member(not_subclass_element(intersection(x1,X0),X1),X2)|member(not_subclass_element(intersection(x1,X0),X1),intersection(x2,X2)))),
% 23.05/3.43 inference(resolution,[status(thm)],[f8043,f146])).
% 23.05/3.43 fof(f10418,plain,(
% 23.05/3.43 ![X0,X1]: (subclass(intersection(x1,X0),X1)|member(not_subclass_element(intersection(x1,X0),X1),intersection(x2,X0))|subclass(intersection(x1,X0),X1))),
% 23.05/3.43 inference(resolution,[status(thm)],[f8170,f382])).
% 23.05/3.47 fof(f10438,plain,(
% 23.05/3.47 ![X0,X1]: (subclass(intersection(x1,X0),X1)|member(not_subclass_element(intersection(x1,X0),X1),intersection(x2,X0)))),
% 23.05/3.47 inference(duplicate_literals_removal,[status(thm)],[f10418])).
% 23.05/3.47 fof(f20559,plain,(
% 23.05/3.47 ![X0]: (subclass(intersection(x1,X0),intersection(x2,X0))|subclass(intersection(x1,X0),intersection(x2,X0)))),
% 23.05/3.47 inference(resolution,[status(thm)],[f10438,f118])).
% 23.05/3.47 fof(f20599,plain,(
% 23.05/3.47 ![X0]: (subclass(intersection(x1,X0),intersection(x2,X0)))),
% 23.05/3.47 inference(duplicate_literals_removal,[status(thm)],[f20559])).
% 23.05/3.47 fof(f20630,plain,(
% 23.05/3.47 ![X0,X1]: (subclass(restrict(x1,X0,X1),intersection(x2,cross_product(X0,X1))))),
% 23.05/3.47 inference(paramodulation,[status(thm)],[f151,f20599])).
% 23.05/3.47 fof(f20641,plain,(
% 23.05/3.47 ![X0,X1]: (subclass(restrict(x1,X0,X1),restrict(x2,X0,X1)))),
% 23.05/3.47 inference(forward_demodulation,[status(thm)],[f151,f20630])).
% 23.05/3.47 fof(f20649,plain,(
% 23.05/3.47 $false),
% 23.05/3.47 inference(backward_subsumption_resolution,[status(thm)],[f247,f20641])).
% 23.05/3.47 % SZS output end CNFRefutation for theBenchmark.p
% 23.05/3.48 % Elapsed time: 3.114550 seconds
% 23.05/3.48 % CPU time: 24.326425 seconds
% 23.05/3.48 % Total memory used: 367.130 MB
% 23.05/3.48 % Net memory used: 327.753 MB
%------------------------------------------------------------------------------