%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET144-6 : 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 : 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 02:11:39 PM UTC 2026
% Result : Unsatisfiable 75.25s 9.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET144-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:58:48 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 75.25/9.95 % Refutation found
% 75.25/9.95 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 75.25/9.95 % SZS output start CNFRefutation for theBenchmark
% 75.25/9.95 fof(f2,axiom,(
% 75.25/9.95 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 75.25/9.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.95 fof(f3,axiom,(
% 75.25/9.95 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 75.25/9.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.95 fof(f7,axiom,(
% 75.25/9.95 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 75.25/9.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.95 fof(f21,axiom,(
% 75.25/9.95 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 75.25/9.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.95 fof(f22,axiom,(
% 75.25/9.95 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,Y) ) ))),
% 75.25/9.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.95 fof(f23,axiom,(
% 75.25/9.95 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 75.25/9.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.95 fof(f113,negated_conjecture,(
% 75.25/9.96 intersection(x,y) != intersection(y,x) ),
% 75.25/9.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 75.25/9.96 fof(f116,plain,(
% 75.25/9.96 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f2])).
% 75.25/9.96 fof(f117,plain,(
% 75.25/9.96 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f3])).
% 75.25/9.96 fof(f121,plain,(
% 75.25/9.96 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f7])).
% 75.25/9.96 fof(f141,plain,(
% 75.25/9.96 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 75.25/9.96 inference(miniscoping,[status(thm)],[f21])).
% 75.25/9.96 fof(f142,plain,(
% 75.25/9.96 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f141])).
% 75.25/9.96 fof(f143,plain,(
% 75.25/9.96 ![Z,Y]: ((![X]: ~member(Z,intersection(X,Y)))|member(Z,Y))),
% 75.25/9.96 inference(miniscoping,[status(thm)],[f22])).
% 75.25/9.96 fof(f144,plain,(
% 75.25/9.96 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X2))),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f143])).
% 75.25/9.96 fof(f145,plain,(
% 75.25/9.96 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f23])).
% 75.25/9.96 fof(f245,plain,(
% 75.25/9.96 ~intersection(x,y)=intersection(y,x)),
% 75.25/9.96 inference(cnf_transformation,[status(thm)],[f113])).
% 75.25/9.96 fof(f279,plain,(
% 75.25/9.96 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X1))),
% 75.25/9.96 inference(resolution,[status(thm)],[f116,f144])).
% 75.25/9.96 fof(f280,plain,(
% 75.25/9.96 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 75.25/9.96 inference(resolution,[status(thm)],[f116,f142])).
% 75.25/9.96 fof(f2176,plain,(
% 75.25/9.96 ![X0,X1,X2]: (subclass(X0,intersection(X1,X2))|~member(not_subclass_element(X0,intersection(X1,X2)),X1)|~member(not_subclass_element(X0,intersection(X1,X2)),X2))),
% 75.25/9.96 inference(resolution,[status(thm)],[f117,f145])).
% 75.25/9.96 fof(f2980,plain,(
% 75.25/9.96 ![X0,X1,X2]: (subclass(intersection(X0,X1),intersection(X2,X0))|~member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2)|subclass(intersection(X0,X1),intersection(X2,X0)))),
% 75.25/9.96 inference(resolution,[status(thm)],[f2176,f280])).
% 75.25/9.96 fof(f2993,plain,(
% 75.25/9.96 ![X0,X1,X2]: (subclass(intersection(X0,X1),intersection(X2,X0))|~member(not_subclass_element(intersection(X0,X1),intersection(X2,X0)),X2))),
% 75.25/9.96 inference(duplicate_literals_removal,[status(thm)],[f2980])).
% 75.25/9.96 fof(f33350,plain,(
% 75.25/9.96 ![X0,X1]: (subclass(intersection(X0,X1),intersection(X1,X0))|subclass(intersection(X0,X1),intersection(X1,X0)))),
% 75.25/9.96 inference(resolution,[status(thm)],[f2993,f279])).
% 75.25/9.96 fof(f33421,plain,(
% 75.25/9.96 ![X0,X1]: (subclass(intersection(X0,X1),intersection(X1,X0)))),
% 75.25/9.96 inference(duplicate_literals_removal,[status(thm)],[f33350])).
% 75.25/9.96 fof(f33478,plain,(
% 75.25/9.96 ![X0,X1]: (~subclass(intersection(X0,X1),intersection(X1,X0))|intersection(X0,X1)=intersection(X1,X0))),
% 75.25/9.96 inference(resolution,[status(thm)],[f33421,f121])).
% 75.25/9.96 fof(f33519,plain,(
% 75.25/9.96 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 75.25/9.96 inference(forward_subsumption_resolution,[status(thm)],[f33478,f33421])).
% 75.25/10.05 fof(f33520,plain,(
% 75.25/10.05 $false),
% 75.25/10.05 inference(backward_subsumption_resolution,[status(thm)],[f245,f33519])).
% 75.25/10.05 % SZS output end CNFRefutation for theBenchmark.p
% 7.39/10.09 % Elapsed time: 9.698196 seconds
% 7.39/10.09 % CPU time: 76.504871 seconds
% 7.39/10.09 % Total memory used: 902.142 MB
% 7.39/10.09 % Net memory used: 840.951 MB
%------------------------------------------------------------------------------