%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP038-3 : 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 : n007.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 12:35:32 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP038-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:53:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % 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(f9,axiom,(
% 0.14/0.39 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f12,hypothesis,(
% 0.14/0.39 subgroup_member(a) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f13,hypothesis,(
% 0.14/0.39 subgroup_member(b) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,hypothesis,(
% 0.14/0.39 product(a,inverse(b),c) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f15,negated_conjecture,(
% 0.14/0.39 ~ subgroup_member(c) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f9])).
% 0.14/0.39 fof(f28,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.39 fof(f31,plain,(
% 0.14/0.39 subgroup_member(a)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.39 fof(f32,plain,(
% 0.14/0.39 subgroup_member(b)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 product(a,inverse(b),c)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.39 fof(f34,plain,(
% 0.14/0.39 ~subgroup_member(c)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 ~subgroup_member(a)|~subgroup_member(b)|subgroup_member(c)),
% 0.14/0.39 inference(resolution,[status(thm)],[f28,f33])).
% 0.14/0.39 fof(f104,plain,(
% 0.14/0.39 ~subgroup_member(b)|subgroup_member(c)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f100,f31])).
% 0.14/0.39 fof(f120,plain,(
% 0.14/0.39 subgroup_member(c)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f104,f32])).
% 0.14/0.39 fof(f121,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(backward_subsumption_resolution,[status(thm)],[f34,f120])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.035752 seconds
% 0.14/0.42 % CPU time: 0.102598 seconds
% 0.14/0.42 % Total memory used: 22.602 MB
% 0.14/0.42 % Net memory used: 22.390 MB
%------------------------------------------------------------------------------