%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP033-4 : TPTP v9.3.1. Released v1.0.0.
% 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 12:35:31 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP033-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 20 19:55:18 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48 fof(f1,axiom,(
% 0.18/0.48 (![X]: (product(identity,X,X) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f2,axiom,(
% 0.18/0.48 (![X]: (product(X,identity,X) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f4,axiom,(
% 0.18/0.48 (![X]: (product(X,inverse(X),identity) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f9,axiom,(
% 0.18/0.48 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f10,hypothesis,(
% 0.18/0.48 subgroup_member(a) ),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f11,hypothesis,(
% 0.18/0.48 (![A]: (( ~ subgroup_member(A)| subgroup_member(j(A)) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f12,negated_conjecture,(
% 0.18/0.48 (![A]: (( ~ product(j(A),A,j(A))| ~ product(A,j(A),j(A))| ~ subgroup_member(A) ) ))),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f13,plain,(
% 0.18/0.48 ![X0]: (product(identity,X0,X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.48 fof(f14,plain,(
% 0.18/0.48 ![X0]: (product(X0,identity,X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.48 fof(f16,plain,(
% 0.18/0.48 ![X0]: (product(X0,inverse(X0),identity))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.48 fof(f24,plain,(
% 0.18/0.48 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f9])).
% 0.18/0.48 fof(f25,plain,(
% 0.18/0.48 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.18/0.48 fof(f26,plain,(
% 0.18/0.48 subgroup_member(a)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.18/0.48 fof(f27,plain,(
% 0.18/0.48 ![X0]: (~subgroup_member(X0)|subgroup_member(j(X0)))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.18/0.48 fof(f28,plain,(
% 0.18/0.48 ![X0]: (~product(j(X0),X0,j(X0))|~product(X0,j(X0),j(X0))|~subgroup_member(X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f12])).
% 0.18/0.49 fof(f29,plain,(
% 0.18/0.49 subgroup_member(j(a))),
% 0.18/0.49 inference(resolution,[status(thm)],[f26,f27])).
% 0.18/0.49 fof(f30,plain,(
% 0.18/0.49 subgroup_member(j(j(a)))),
% 0.18/0.49 inference(resolution,[status(thm)],[f29,f27])).
% 0.18/0.49 fof(f31,plain,(
% 0.18/0.49 subgroup_member(j(j(j(a))))),
% 0.18/0.49 inference(resolution,[status(thm)],[f30,f27])).
% 0.18/0.49 fof(f36,plain,(
% 0.18/0.49 ~product(identity,j(identity),j(identity))|~subgroup_member(identity)),
% 0.18/0.49 inference(resolution,[status(thm)],[f14,f28])).
% 0.18/0.49 fof(f40,plain,(
% 0.18/0.49 ~subgroup_member(identity)),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f36,f13])).
% 0.18/0.49 fof(f52,plain,(
% 0.18/0.49 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|subgroup_member(identity))),
% 0.18/0.49 inference(resolution,[status(thm)],[f25,f16])).
% 0.18/0.49 fof(f55,plain,(
% 0.18/0.49 ![X0]: (~subgroup_member(X0)|subgroup_member(identity))),
% 0.18/0.49 inference(duplicate_literals_removal,[status(thm)],[f52])).
% 0.18/0.49 fof(f56,plain,(
% 0.18/0.49 ![X0]: (~subgroup_member(X0))),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f55,f40])).
% 0.18/0.49 fof(f68,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(backward_subsumption_resolution,[status(thm)],[f31,f56])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.56 % Elapsed time: 0.099336 seconds
% 0.18/0.56 % CPU time: 0.111227 seconds
% 0.18/0.56 % Total memory used: 8.408 MB
% 0.18/0.56 % Net memory used: 8.385 MB
%------------------------------------------------------------------------------