%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 12:35:39 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP115-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:58:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f1,axiom,(
% 0.09/0.38 (![X,Y,Z]: (multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y ))),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f2,negated_conjecture,(
% 0.09/0.38 multiply(a,multiply(a,a)) != identity ),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f3,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2))))=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.38 fof(f4,plain,(
% 0.09/0.38 ~multiply(a,multiply(a,a))=identity),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.38 fof(f5,definition,(
% 0.09/0.38 sF1_fnc=multiply(a,a)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.09/0.38 fof(f6,definition,(
% 0.09/0.38 sF0_fnc=multiply(a,sF1_fnc)),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.38 fof(f7,plain,(
% 0.09/0.38 ~sF0_fnc=identity),
% 0.09/0.38 inference(definition_folding,[],[f4,f6,f5])).
% 0.09/0.38 fof(f8,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(identity,multiply(multiply(identity,multiply(X2,X2)),multiply(identity,multiply(X2,X2))))))=multiply(multiply(X0,X1),X2))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.38 fof(f12,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(identity,multiply(X2,X2))))=multiply(multiply(X0,multiply(multiply(X0,X1),X3)),multiply(identity,multiply(X3,X3))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.38 fof(f13,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2))=X1)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.09/0.38 fof(f16,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f3,f8])).
% 0.09/0.38 fof(f33,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2))))=X1)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f16,f3])).
% 0.09/0.38 fof(f37,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(X2,X2))))),X2))=X1)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f16,f13])).
% 0.09/0.38 fof(f39,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(identity,multiply(X2,X2))))=multiply(X0,multiply(multiply(multiply(X0,X1),X3),multiply(X3,X3))))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f16,f12])).
% 0.09/0.38 fof(f84,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2))=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f16,f37])).
% 0.09/0.38 fof(f85,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))=multiply(X0,multiply(multiply(multiply(X0,X1),X3),multiply(X3,X3))))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f16,f39])).
% 0.09/0.38 fof(f96,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))))=X1)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f16,f33])).
% 0.09/0.38 fof(f101,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity))))=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f16,f96])).
% 0.09/0.38 fof(f110,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))=multiply(X0,multiply(X0,multiply(X1,identity))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f101,f33])).
% 0.09/0.38 fof(f120,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(X1,identity)))=multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2))))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f110,f85])).
% 0.09/0.38 fof(f143,plain,(
% 0.09/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3))=multiply(X1,X2))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f16,f84])).
% 0.09/0.38 fof(f153,plain,(
% 0.09/0.38 ![X0]: (multiply(X0,identity)=X0)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f143,f84])).
% 0.09/0.38 fof(f155,plain,(
% 0.09/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(X0,X1)))=X1)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f153,f101])).
% 0.09/0.38 fof(f163,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,X1))=multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2))))),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f153,f120])).
% 0.09/0.38 fof(f226,plain,(
% 0.09/0.38 ![X0]: (multiply(X0,multiply(X0,X0))=identity)),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f153,f155])).
% 0.09/0.38 fof(f245,plain,(
% 0.09/0.38 ![X0]: (multiply(a,multiply(a,a))=multiply(a,multiply(multiply(sF1_fnc,X0),multiply(X0,X0))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f5,f163])).
% 0.09/0.38 fof(f247,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1))))=multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))),
% 0.09/0.38 inference(paramodulation,[status(thm)],[f155,f163])).
% 0.09/0.38 fof(f268,plain,(
% 0.09/0.38 ![X0]: (identity=multiply(a,multiply(multiply(sF1_fnc,X0),multiply(X0,X0))))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f226,f245])).
% 0.09/0.38 fof(f274,plain,(
% 0.09/0.38 identity=multiply(a,sF1_fnc)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f281,f268])).
% 0.09/0.38 fof(f281,plain,(
% 0.09/0.38 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f155,f247])).
% 0.09/0.38 fof(f289,plain,(
% 0.09/0.38 sF0_fnc=identity),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f274,f6])).
% 0.09/0.38 fof(f291,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f289,f7])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.036927 seconds
% 0.12/0.40 % CPU time: 0.091613 seconds
% 0.12/0.40 % Total memory used: 3.623 MB
% 0.12/0.40 % Net memory used: 3.457 MB
%------------------------------------------------------------------------------