%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP022-2 : 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 : n001.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 0.10s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP022-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.57 % Computer : n001.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Sun Sep 20 19:59:28 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.59 % Refutation found
% 0.10/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.59 fof(f1,axiom,(
% 0.10/0.59 (![X]: (multiply(identity,X) = X ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f3,axiom,(
% 0.10/0.59 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f4,axiom,(
% 0.10/0.59 (![X]: (multiply(X,identity) = X ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f5,axiom,(
% 0.10/0.59 (![X]: (multiply(X,inverse(X)) = identity ))),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f6,negated_conjecture,(
% 0.10/0.59 inverse(inverse(a)) != a ),
% 0.10/0.59 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.59 fof(f7,plain,(
% 0.10/0.59 ![X0]: (multiply(identity,X0)=X0)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.59 fof(f9,plain,(
% 0.10/0.59 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.59 fof(f10,plain,(
% 0.10/0.59 ![X0]: (multiply(X0,identity)=X0)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.59 fof(f11,plain,(
% 0.10/0.59 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.59 fof(f12,plain,(
% 0.10/0.59 ~inverse(inverse(a))=a),
% 0.10/0.59 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.59 fof(f24,plain,(
% 0.10/0.59 ![X0,X1]: (multiply(identity,X0)=multiply(X1,multiply(inverse(X1),X0)))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.10/0.59 fof(f29,plain,(
% 0.10/0.59 ![X0,X1]: (X0=multiply(X1,multiply(inverse(X1),X0)))),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f7,f24])).
% 0.10/0.59 fof(f82,plain,(
% 0.10/0.59 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.10/0.59 inference(paramodulation,[status(thm)],[f11,f29])).
% 0.10/0.59 fof(f89,plain,(
% 0.10/0.59 ~a=a),
% 0.10/0.59 inference(backward_demodulation,[status(thm)],[f91,f12])).
% 0.10/0.59 fof(f91,plain,(
% 0.10/0.59 ![X0]: (inverse(inverse(X0))=X0)),
% 0.10/0.59 inference(forward_demodulation,[status(thm)],[f10,f82])).
% 0.10/0.59 fof(f95,plain,(
% 0.10/0.59 $false),
% 0.10/0.59 inference(trivial_equality_resolution,[status(thm)],[f89])).
% 0.10/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 2.57/1.83 % Elapsed time: 1.031173 seconds
% 2.57/1.83 % CPU time: 0.030965 seconds
% 2.57/1.83 % Total memory used: 656.368 KB
% 2.57/1.83 % Net memory used: 624.496 KB
%------------------------------------------------------------------------------