%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:36:15 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 20:04:20 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.40 % Drodi V4.1.1
% 0.11/0.41 % Refutation found
% 0.11/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.41 fof(f1,axiom,(
% 0.11/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f2,axiom,(
% 0.11/0.41 (![X]: (multiply(X,identity) = X ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f9,axiom,(
% 0.11/0.41 (![X,Y,Z]: (multiply(X,multiply(multiply(Y,Z),X)) = multiply(multiply(X,Y),multiply(Z,X)) ))),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f10,negated_conjecture,(
% 0.11/0.41 multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)) ),
% 0.11/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.41 fof(f11,plain,(
% 0.11/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.41 fof(f12,plain,(
% 0.11/0.41 ![X0]: (multiply(X0,identity)=X0)),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.41 fof(f19,plain,(
% 0.11/0.41 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),X0))=multiply(multiply(X0,X1),multiply(X2,X0)))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.41 fof(f20,plain,(
% 0.11/0.41 ~multiply(multiply(a,multiply(b,c)),a)=multiply(multiply(a,b),multiply(c,a))),
% 0.11/0.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.41 fof(f21,definition,(
% 0.11/0.41 sF2_fnc=multiply(b,c)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.11/0.41 fof(f22,definition,(
% 0.11/0.41 sF1_fnc=multiply(a,sF2_fnc)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.11/0.41 fof(f23,definition,(
% 0.11/0.41 sF0_fnc=multiply(sF1_fnc,a)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.11/0.41 fof(f24,definition,(
% 0.11/0.41 sF4_fnc=multiply(a,b)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.11/0.41 fof(f25,definition,(
% 0.11/0.41 sF5_fnc=multiply(c,a)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.11/0.41 fof(f26,definition,(
% 0.11/0.41 sF3_fnc=multiply(sF4_fnc,sF5_fnc)),
% 0.11/0.41 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.11/0.41 fof(f27,plain,(
% 0.11/0.41 ~sF0_fnc=sF3_fnc),
% 0.11/0.41 inference(definition_folding,[],[f20,f26,f25,f24,f23,f22,f21])).
% 0.11/0.41 fof(f32,plain,(
% 0.11/0.41 ![X0]: (multiply(a,multiply(multiply(b,X0),a))=multiply(sF4_fnc,multiply(X0,a)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f24,f19])).
% 0.11/0.41 fof(f33,plain,(
% 0.11/0.41 ![X0]: (multiply(a,multiply(multiply(sF2_fnc,X0),a))=multiply(sF1_fnc,multiply(X0,a)))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f22,f19])).
% 0.11/0.41 fof(f46,plain,(
% 0.11/0.41 multiply(a,multiply(sF2_fnc,a))=multiply(sF4_fnc,multiply(c,a))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f21,f32])).
% 0.11/0.41 fof(f49,plain,(
% 0.11/0.41 multiply(a,multiply(sF2_fnc,a))=multiply(sF4_fnc,sF5_fnc)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f25,f46])).
% 0.11/0.41 fof(f50,plain,(
% 0.11/0.41 multiply(a,multiply(sF2_fnc,a))=sF3_fnc),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f26,f49])).
% 0.11/0.41 fof(f285,plain,(
% 0.11/0.41 multiply(a,multiply(sF2_fnc,a))=multiply(sF1_fnc,multiply(identity,a))),
% 0.11/0.41 inference(paramodulation,[status(thm)],[f12,f33])).
% 0.11/0.41 fof(f295,plain,(
% 0.11/0.41 sF3_fnc=multiply(sF1_fnc,multiply(identity,a))),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f50,f285])).
% 0.11/0.41 fof(f296,plain,(
% 0.11/0.41 sF3_fnc=multiply(sF1_fnc,a)),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f11,f295])).
% 0.11/0.41 fof(f297,plain,(
% 0.11/0.41 sF3_fnc=sF0_fnc),
% 0.11/0.41 inference(forward_demodulation,[status(thm)],[f23,f296])).
% 0.11/0.41 fof(f298,plain,(
% 0.11/0.41 $false),
% 0.11/0.41 inference(forward_subsumption_resolution,[status(thm)],[f297,f27])).
% 0.11/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.026678 seconds
% 0.11/0.42 % CPU time: 0.088574 seconds
% 0.11/0.42 % Total memory used: 6.216 MB
% 0.11/0.42 % Net memory used: 6.147 MB
%------------------------------------------------------------------------------