%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP019-1 : 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 : 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 12:35:27 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP019-1 : 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 19:55:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![X]: (product(identity,X,X) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,axiom,(
% 0.09/0.37 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,axiom,(
% 0.09/0.37 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f9,negated_conjecture,(
% 0.09/0.37 multiply(identity,a) != a ),
% 0.09/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X0]: (product(identity,X0,X0))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.09/0.37 inference(miniscoping,[status(thm)],[f6])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ~multiply(identity,a)=a),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 ![X0,X1]: (~product(identity,X0,X1)|X0=X1)),
% 0.09/0.37 inference(resolution,[status(thm)],[f16,f10])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 ![X0]: (X0=multiply(identity,X0))),
% 0.09/0.37 inference(resolution,[status(thm)],[f23,f14])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 ~a=a),
% 0.09/0.37 inference(backward_demodulation,[status(thm)],[f30,f21])).
% 0.09/0.37 fof(f39,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(trivial_equality_resolution,[status(thm)],[f37])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.037872 seconds
% 0.14/0.40 % CPU time: 0.063986 seconds
% 0.14/0.40 % Total memory used: 5.536 MB
% 0.14/0.40 % Net memory used: 5.502 MB
%------------------------------------------------------------------------------