%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP032-3 : 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 : n009.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 0.17s 5.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP032-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n009.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Sun Sep 20 19:54:47 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.17/5.45 % Drodi V4.1.1
% 0.17/5.48 % Refutation found
% 0.17/5.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/5.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/5.48 fof(f4,axiom,(
% 0.17/5.48 (![X]: (product(X,inverse(X),identity) ))),
% 0.17/5.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f9,axiom,(
% 0.17/5.48 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.17/5.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f10,hypothesis,(
% 0.17/5.48 subgroup_member(a) ),
% 0.17/5.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f11,negated_conjecture,(
% 0.17/5.48 ~ subgroup_member(identity) ),
% 0.17/5.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/5.48 fof(f15,plain,(
% 0.17/5.48 ![X0]: (product(X0,inverse(X0),identity))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.17/5.48 fof(f23,plain,(
% 0.17/5.48 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.17/5.48 inference(miniscoping,[status(thm)],[f9])).
% 0.17/5.48 fof(f24,plain,(
% 0.17/5.48 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f23])).
% 0.17/5.48 fof(f25,plain,(
% 0.17/5.48 subgroup_member(a)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f10])).
% 0.17/5.48 fof(f26,plain,(
% 0.17/5.48 ~subgroup_member(identity)),
% 0.17/5.48 inference(cnf_transformation,[status(thm)],[f11])).
% 0.17/5.48 fof(f69,plain,(
% 0.17/5.48 ![X0,X1]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),identity))),
% 0.17/5.48 inference(resolution,[status(thm)],[f24,f26])).
% 0.17/5.48 fof(f71,plain,(
% 0.17/5.48 ![X0]: (~subgroup_member(X0)|~product(X0,inverse(a),identity))),
% 0.17/5.48 inference(resolution,[status(thm)],[f69,f25])).
% 0.17/5.48 fof(f74,plain,(
% 0.17/5.48 ~subgroup_member(a)),
% 0.17/5.48 inference(resolution,[status(thm)],[f71,f15])).
% 0.17/5.48 fof(f75,plain,(
% 0.17/5.48 $false),
% 0.17/5.48 inference(forward_subsumption_resolution,[status(thm)],[f74,f25])).
% 0.17/5.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.51 % Elapsed time: 0.058007 seconds
% 0.22/5.51 % CPU time: 0.166943 seconds
% 0.22/5.51 % Total memory used: 34.750 MB
% 0.22/5.51 % Net memory used: 34.394 MB
%------------------------------------------------------------------------------