%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP006-1 : 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 : n006.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 12:35:25 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n006.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 19:53:13 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.35 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![X]: (product(identity,X,X) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 (![X]: (product(X,inverse(X),identity) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (![X,Y,Z]: (( ~ an_element(X)| ~ an_element(Y)| ~ product(X,inverse(Y),Z)| an_element(Z) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,hypothesis,(
% 0.12/0.38 an_element(the_element) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f9,negated_conjecture,(
% 0.12/0.38 ~ an_element(inverse(the_element)) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0]: (product(identity,X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ![X0]: (product(X0,inverse(X0),identity))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![Z]: ((![X,Y]: ((~an_element(X)|~an_element(Y))|~product(X,inverse(Y),Z)))|an_element(Z))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~an_element(X0)|~an_element(X1)|~product(X0,inverse(X1),X2)|an_element(X2))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 an_element(the_element)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ~an_element(inverse(the_element))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f22,plain,(
% 0.12/0.38 ![X0,X1]: (~an_element(X0)|~product(X0,inverse(the_element),X1)|an_element(X1))),
% 0.12/0.38 inference(resolution,[status(thm)],[f15,f20])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 ![X0]: (~product(the_element,inverse(the_element),X0)|an_element(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f22,f20])).
% 0.12/0.38 fof(f24,plain,(
% 0.12/0.38 an_element(identity)),
% 0.12/0.38 inference(resolution,[status(thm)],[f23,f12])).
% 0.12/0.38 fof(f25,plain,(
% 0.12/0.38 ![X0]: (~product(identity,inverse(the_element),X0)|an_element(X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f24,f22])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 an_element(inverse(the_element))),
% 0.12/0.38 inference(resolution,[status(thm)],[f10,f25])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f27,f21])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.050237 seconds
% 0.12/0.40 % CPU time: 0.143833 seconds
% 0.12/0.40 % Total memory used: 55.376 MB
% 0.12/0.40 % Net memory used: 54.878 MB
%------------------------------------------------------------------------------