%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 0.11s 5.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.55 % Computer : n011.cluster.edu
% 0.11/5.55 % Model : x86_64 x86_64
% 0.11/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.55 % Memory : 8046.5625MB
% 0.11/5.55 % OS : Linux 6.8.0-71-generic
% 0.11/5.55 % CPULimit : 300
% 0.11/5.55 % WCLimit : 300
% 0.11/5.55 % DateTime : Sun Sep 20 19:54:00 UTC 2026
% 0.11/5.55 % CPUTime :
% 0.11/5.56 % Drodi V4.1.1
% 0.11/5.58 % Refutation found
% 0.11/5.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/5.58 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.58 fof(f1,axiom,(
% 0.11/5.58 (![X]: (product(identity,X,X) ))),
% 0.11/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.58 fof(f4,axiom,(
% 0.11/5.58 (![X]: (product(X,inverse(X),identity) ))),
% 0.11/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.58 fof(f6,axiom,(
% 0.11/5.58 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.11/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.58 fof(f9,negated_conjecture,(
% 0.11/5.58 inverse(identity) != identity ),
% 0.11/5.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.58 fof(f10,plain,(
% 0.11/5.58 ![X0]: (product(identity,X0,X0))),
% 0.11/5.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/5.58 fof(f13,plain,(
% 0.11/5.58 ![X0]: (product(X0,inverse(X0),identity))),
% 0.11/5.58 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/5.58 fof(f15,plain,(
% 0.11/5.58 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.11/5.58 inference(miniscoping,[status(thm)],[f6])).
% 0.11/5.58 fof(f16,plain,(
% 0.11/5.58 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.11/5.58 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/5.58 fof(f21,plain,(
% 0.11/5.58 ~inverse(identity)=identity),
% 0.11/5.58 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/5.58 fof(f23,plain,(
% 0.11/5.58 ![X0,X1]: (~product(identity,X0,X1)|X1=X0)),
% 0.11/5.58 inference(resolution,[status(thm)],[f16,f10])).
% 0.11/5.58 fof(f28,plain,(
% 0.11/5.58 identity=inverse(identity)),
% 0.11/5.58 inference(resolution,[status(thm)],[f23,f13])).
% 0.11/5.58 fof(f31,plain,(
% 0.11/5.58 $false),
% 0.11/5.58 inference(forward_subsumption_resolution,[status(thm)],[f28,f21])).
% 0.11/5.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.62 % Elapsed time: 0.047587 seconds
% 0.14/5.62 % CPU time: 0.131328 seconds
% 0.14/5.62 % Total memory used: 44.129 MB
% 0.14/5.62 % Net memory used: 43.585 MB
%------------------------------------------------------------------------------