%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP021-1 : 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 : n010.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 12:35:27 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.63 % Computer : n010.cluster.edu
% 0.16/0.63 % Model : x86_64 x86_64
% 0.16/0.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.63 % Memory : 8046.5625MB
% 0.16/0.63 % OS : Linux 6.8.0-71-generic
% 0.16/0.63 % CPULimit : 300
% 0.16/0.63 % WCLimit : 300
% 0.16/0.63 % DateTime : Sun Sep 20 19:54:26 UTC 2026
% 0.16/0.64 % CPUTime :
% 0.16/0.65 % Drodi V4.1.1
% 0.20/0.68 % Refutation found
% 0.20/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.68 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.68 fof(f4,axiom,(
% 0.20/0.68 (![X]: (product(X,inverse(X),identity) ))),
% 0.20/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.68 fof(f5,axiom,(
% 0.20/0.68 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.20/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.68 fof(f6,axiom,(
% 0.20/0.68 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.20/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.68 fof(f9,negated_conjecture,(
% 0.20/0.68 multiply(a,inverse(a)) != identity ),
% 0.20/0.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.68 fof(f13,plain,(
% 0.20/0.68 ![X0]: (product(X0,inverse(X0),identity))),
% 0.20/0.68 inference(cnf_transformation,[status(thm)],[f4])).
% 0.20/0.68 fof(f14,plain,(
% 0.20/0.68 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.20/0.68 inference(cnf_transformation,[status(thm)],[f5])).
% 0.20/0.68 fof(f15,plain,(
% 0.20/0.68 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.20/0.68 inference(miniscoping,[status(thm)],[f6])).
% 0.20/0.68 fof(f16,plain,(
% 0.20/0.68 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.20/0.68 inference(cnf_transformation,[status(thm)],[f15])).
% 0.20/0.68 fof(f21,plain,(
% 0.20/0.68 ~multiply(a,inverse(a))=identity),
% 0.20/0.68 inference(cnf_transformation,[status(thm)],[f9])).
% 0.20/0.68 fof(f24,plain,(
% 0.20/0.68 ![X0,X1]: (~product(X0,inverse(X0),X1)|X1=identity)),
% 0.20/0.68 inference(resolution,[status(thm)],[f16,f13])).
% 0.20/0.68 fof(f51,plain,(
% 0.20/0.68 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.20/0.68 inference(resolution,[status(thm)],[f24,f14])).
% 0.20/0.68 fof(f53,plain,(
% 0.20/0.68 ~identity=identity),
% 0.20/0.68 inference(backward_demodulation,[status(thm)],[f51,f21])).
% 0.20/0.68 fof(f58,plain,(
% 0.20/0.68 $false),
% 0.20/0.68 inference(trivial_equality_resolution,[status(thm)],[f53])).
% 0.20/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.72 % Elapsed time: 0.063850 seconds
% 0.20/0.72 % CPU time: 0.179293 seconds
% 0.20/0.72 % Total memory used: 44.225 MB
% 0.20/0.72 % Net memory used: 43.681 MB
%------------------------------------------------------------------------------