%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP457-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:36:39 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP457-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 20:18:38 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (![A,B]: (multiply(A,B) = divide(A,divide(identity,B)) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,axiom,(
% 0.10/0.38 (![A]: (inverse(A) = divide(identity,A) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,axiom,(
% 0.10/0.38 (![A]: (identity = divide(A,A) ))),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f5,negated_conjecture,(
% 0.10/0.38 multiply(inverse(a1),a1) != identity ),
% 0.10/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f7,plain,(
% 0.10/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f8,plain,(
% 0.10/0.38 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f9,plain,(
% 0.10/0.38 ![X0]: (identity=divide(X0,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.38 fof(f10,plain,(
% 0.10/0.38 ~multiply(inverse(a1),a1)=identity),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f11,definition,(
% 0.10/0.38 sF1_fnc=inverse(a1)),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.10/0.38 fof(f12,definition,(
% 0.10/0.38 sF0_fnc=multiply(sF1_fnc,a1)),
% 0.10/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.38 fof(f13,plain,(
% 0.10/0.38 ~sF0_fnc=identity),
% 0.10/0.38 inference(definition_folding,[],[f10,f12,f11])).
% 0.10/0.38 fof(f14,plain,(
% 0.10/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.10/0.38 fof(f21,plain,(
% 0.10/0.38 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f9,f14])).
% 0.10/0.38 fof(f27,plain,(
% 0.10/0.38 multiply(sF1_fnc,a1)=identity),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f11,f21])).
% 0.10/0.38 fof(f28,plain,(
% 0.10/0.38 sF0_fnc=identity),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f27,f12])).
% 0.10/0.38 fof(f29,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f28,f13])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.39 % Elapsed time: 0.020657 seconds
% 0.10/0.39 % CPU time: 0.026278 seconds
% 0.10/0.39 % Total memory used: 403.808 KB
% 0.10/0.39 % Net memory used: 376.928 KB
%------------------------------------------------------------------------------