%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP033-3 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:35:31 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP033-3 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.45 % Computer : n018.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 20 19:56:29 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.47 % Drodi V4.1.1
% 0.21/0.52 % Refutation found
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.52 fof(f11,axiom,(
% 0.21/0.52 (![X]: (product(identity,X,X) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f12,axiom,(
% 0.21/0.52 (![X]: (product(X,identity,X) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f14,axiom,(
% 0.21/0.52 (![X]: (product(X,inverse(X),identity) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f19,axiom,(
% 0.21/0.52 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f20,hypothesis,(
% 0.21/0.52 subgroup_member(a) ),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f21,hypothesis,(
% 0.21/0.52 (![A]: (( ~ subgroup_member(A)| subgroup_member(j(A)) ) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f22,negated_conjecture,(
% 0.21/0.52 (![A]: (( ~ product(j(A),A,j(A))| ~ product(A,j(A),j(A))| ~ subgroup_member(A) ) ))),
% 0.21/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.52 fof(f40,plain,(
% 0.21/0.52 ![X0]: (product(identity,X0,X0))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f11])).
% 0.21/0.52 fof(f41,plain,(
% 0.21/0.52 ![X0]: (product(X0,identity,X0))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f12])).
% 0.21/0.52 fof(f43,plain,(
% 0.21/0.52 ![X0]: (product(X0,inverse(X0),identity))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f14])).
% 0.21/0.52 fof(f51,plain,(
% 0.21/0.52 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.21/0.52 inference(miniscoping,[status(thm)],[f19])).
% 0.21/0.52 fof(f52,plain,(
% 0.21/0.52 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f51])).
% 0.21/0.52 fof(f53,plain,(
% 0.21/0.52 subgroup_member(a)),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.21/0.52 fof(f54,plain,(
% 0.21/0.52 ![X0]: (~subgroup_member(X0)|subgroup_member(j(X0)))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f21])).
% 0.21/0.52 fof(f55,plain,(
% 0.21/0.52 ![X0]: (~product(j(X0),X0,j(X0))|~product(X0,j(X0),j(X0))|~subgroup_member(X0))),
% 0.21/0.52 inference(cnf_transformation,[status(thm)],[f22])).
% 0.21/0.52 fof(f60,plain,(
% 0.21/0.52 subgroup_member(j(a))),
% 0.21/0.52 inference(resolution,[status(thm)],[f53,f54])).
% 0.21/0.52 fof(f63,plain,(
% 0.21/0.52 ~product(identity,j(identity),j(identity))|~subgroup_member(identity)),
% 0.21/0.52 inference(resolution,[status(thm)],[f41,f55])).
% 0.21/0.52 fof(f66,plain,(
% 0.21/0.52 ~subgroup_member(identity)),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f63,f40])).
% 0.21/0.52 fof(f74,plain,(
% 0.21/0.52 subgroup_member(j(j(a)))),
% 0.21/0.52 inference(resolution,[status(thm)],[f60,f54])).
% 0.21/0.52 fof(f78,plain,(
% 0.21/0.52 subgroup_member(j(j(j(a))))),
% 0.21/0.52 inference(resolution,[status(thm)],[f74,f54])).
% 0.21/0.52 fof(f115,plain,(
% 0.21/0.52 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|subgroup_member(identity))),
% 0.21/0.52 inference(resolution,[status(thm)],[f52,f43])).
% 0.21/0.52 fof(f118,plain,(
% 0.21/0.52 ![X0]: (~subgroup_member(X0)|subgroup_member(identity))),
% 0.21/0.52 inference(duplicate_literals_removal,[status(thm)],[f115])).
% 0.21/0.52 fof(f119,plain,(
% 0.21/0.52 ![X0]: (~subgroup_member(X0))),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f118,f66])).
% 0.21/0.52 fof(f139,plain,(
% 0.21/0.52 $false),
% 0.21/0.52 inference(backward_subsumption_resolution,[status(thm)],[f78,f119])).
% 0.21/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.57 % Elapsed time: 0.096486 seconds
% 0.24/0.57 % CPU time: 0.212594 seconds
% 0.24/0.57 % Total memory used: 37.422 MB
% 0.24/0.57 % Net memory used: 37.147 MB
%------------------------------------------------------------------------------