%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP020-1 : 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 : n014.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 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n014.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sun Sep 20 19:53:50 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37 fof(f3,axiom,(
% 0.11/0.37 (![X]: (product(inverse(X),X,identity) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f5,axiom,(
% 0.11/0.37 (![X,Y]: (product(X,Y,multiply(X,Y)) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f6,axiom,(
% 0.11/0.37 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f9,negated_conjecture,(
% 0.11/0.37 multiply(inverse(a),a) != identity ),
% 0.11/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f12,plain,(
% 0.11/0.37 ![X0]: (product(inverse(X0),X0,identity))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.37 fof(f14,plain,(
% 0.11/0.37 ![X0,X1]: (product(X0,X1,multiply(X0,X1)))),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.37 fof(f15,plain,(
% 0.11/0.37 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.11/0.37 inference(miniscoping,[status(thm)],[f6])).
% 0.11/0.37 fof(f16,plain,(
% 0.11/0.37 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.37 fof(f21,plain,(
% 0.11/0.37 ~multiply(inverse(a),a)=identity),
% 0.11/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.37 fof(f22,plain,(
% 0.11/0.37 ![X0,X1]: (~product(inverse(X0),X0,X1)|X1=identity)),
% 0.11/0.37 inference(resolution,[status(thm)],[f16,f12])).
% 0.11/0.37 fof(f43,plain,(
% 0.11/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.11/0.37 inference(resolution,[status(thm)],[f22,f14])).
% 0.11/0.37 fof(f45,plain,(
% 0.11/0.37 ~identity=identity),
% 0.11/0.37 inference(backward_demodulation,[status(thm)],[f43,f21])).
% 0.11/0.37 fof(f50,plain,(
% 0.11/0.37 $false),
% 0.11/0.37 inference(trivial_equality_resolution,[status(thm)],[f45])).
% 0.11/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39 % Elapsed time: 0.039201 seconds
% 0.11/0.39 % CPU time: 0.118159 seconds
% 0.11/0.39 % Total memory used: 35.919 MB
% 0.11/0.39 % Net memory used: 35.494 MB
%------------------------------------------------------------------------------