%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP023-2 : 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 : n018.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 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP023-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n018.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 20 19:55:57 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f2,axiom,(
% 0.18/0.49 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f4,axiom,(
% 0.18/0.49 (![X]: (multiply(X,identity) = X ))),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f6,negated_conjecture,(
% 0.18/0.49 inverse(identity) != identity ),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f8,plain,(
% 0.18/0.49 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.18/0.49 fof(f10,plain,(
% 0.18/0.49 ![X0]: (multiply(X0,identity)=X0)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f4])).
% 0.18/0.49 fof(f12,plain,(
% 0.18/0.49 ~inverse(identity)=identity),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.49 fof(f13,definition,(
% 0.18/0.49 sF0_fnc=inverse(identity)),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.18/0.49 fof(f14,plain,(
% 0.18/0.49 ~sF0_fnc=identity),
% 0.18/0.49 inference(definition_folding,[],[f12,f13])).
% 0.18/0.49 fof(f18,plain,(
% 0.18/0.49 multiply(sF0_fnc,identity)=identity),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f13,f8])).
% 0.18/0.49 fof(f21,plain,(
% 0.18/0.49 sF0_fnc=identity),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f10,f18])).
% 0.18/0.49 fof(f22,plain,(
% 0.18/0.49 $false),
% 0.18/0.49 inference(forward_subsumption_resolution,[status(thm)],[f21,f14])).
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.53 % Elapsed time: 0.048883 seconds
% 0.18/0.53 % CPU time: 0.025634 seconds
% 0.18/0.53 % Total memory used: 200.976 KB
% 0.18/0.53 % Net memory used: 188.672 KB
%------------------------------------------------------------------------------