%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP034-4 : 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 : n003.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 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP034-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.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 : Sun Sep 20 19:57:00 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f2,axiom,(
% 0.14/0.39 (![X]: (product(identity,X,X) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f4,axiom,(
% 0.14/0.39 (![X]: (product(X,inverse(X),identity) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,axiom,(
% 0.14/0.39 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(B,inverse(A),C)| subgroup_member(C) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f8,hypothesis,(
% 0.14/0.39 subgroup_member(a) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f9,negated_conjecture,(
% 0.14/0.39 ~ subgroup_member(inverse(a)) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f11,plain,(
% 0.14/0.39 ![X0]: (product(identity,X0,X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.39 fof(f13,plain,(
% 0.14/0.39 ![X0]: (product(X0,inverse(X0),identity))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.39 fof(f18,plain,(
% 0.14/0.39 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(B,inverse(A),C)))|subgroup_member(C))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.39 fof(f19,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X1,inverse(X0),X2)|subgroup_member(X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f20,plain,(
% 0.14/0.39 subgroup_member(a)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.39 fof(f21,plain,(
% 0.14/0.39 ~subgroup_member(inverse(a))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.39 fof(f22,plain,(
% 0.14/0.39 ![X0,X1]: (~subgroup_member(X0)|~product(a,inverse(X0),X1)|subgroup_member(X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f19,f20])).
% 0.14/0.39 fof(f23,plain,(
% 0.14/0.39 ![X0]: (~product(a,inverse(a),X0)|subgroup_member(X0))),
% 0.14/0.39 inference(resolution,[status(thm)],[f22,f20])).
% 0.14/0.39 fof(f24,plain,(
% 0.14/0.39 subgroup_member(identity)),
% 0.14/0.39 inference(resolution,[status(thm)],[f23,f13])).
% 0.14/0.39 fof(f26,plain,(
% 0.14/0.39 ![X0,X1]: (~subgroup_member(X0)|~product(identity,inverse(X0),X1)|subgroup_member(X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f24,f19])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 ![X0]: (~subgroup_member(X0)|subgroup_member(inverse(X0)))),
% 0.14/0.39 inference(resolution,[status(thm)],[f11,f26])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 subgroup_member(inverse(a))),
% 0.14/0.39 inference(resolution,[status(thm)],[f28,f20])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f21])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.045968 seconds
% 0.14/0.40 % CPU time: 0.130907 seconds
% 0.14/0.40 % Total memory used: 55.408 MB
% 0.14/0.40 % Net memory used: 54.928 MB
%------------------------------------------------------------------------------