%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP520-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:36:45 PM UTC 2026
% Result : Unsatisfiable 0.08s 10.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP520-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.57 % Computer : n004.cluster.edu
% 0.08/10.57 % Model : x86_64 x86_64
% 0.08/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.57 % Memory : 8046.5625MB
% 0.08/10.57 % OS : Linux 6.8.0-71-generic
% 0.08/10.57 % CPULimit : 300
% 0.08/10.57 % WCLimit : 300
% 0.08/10.57 % DateTime : Sun Sep 20 20:15:45 UTC 2026
% 0.08/10.57 % CPUTime :
% 0.08/10.58 % Drodi V4.1.1
% 0.08/10.58 % Refutation found
% 0.08/10.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/10.58 % SZS output start CNFRefutation for theBenchmark
% 0.08/10.58 fof(f1,axiom,(
% 0.08/10.58 (![A,B,C]: (multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C ))),
% 0.08/10.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/10.58 fof(f2,negated_conjecture,(
% 0.08/10.58 multiply(a,b) != multiply(b,a) ),
% 0.08/10.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/10.58 fof(f3,plain,(
% 0.08/10.58 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1))=X2)),
% 0.08/10.58 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/10.58 fof(f4,plain,(
% 0.08/10.58 ~multiply(a,b)=multiply(b,a)),
% 0.08/10.58 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/10.58 fof(f8,plain,(
% 0.08/10.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.08/10.58 fof(f9,plain,(
% 0.08/10.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(X0,X3)),X1),X3)))=X2)),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.08/10.58 fof(f11,plain,(
% 0.08/10.58 ![X0,X1,X2,X3,X4]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),X3),X4)))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f3,f8])).
% 0.08/10.58 fof(f14,plain,(
% 0.08/10.58 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1)))=X2)),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f8,f3])).
% 0.08/10.58 fof(f17,plain,(
% 0.08/10.58 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(X3),X1),multiply(X0,multiply(X3,X2))))),
% 0.08/10.58 inference(forward_demodulation,[status(thm)],[f8,f11])).
% 0.08/10.58 fof(f23,plain,(
% 0.08/10.58 ![X0,X1,X2]: (multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2)=X0)),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.08/10.58 fof(f26,plain,(
% 0.08/10.58 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,multiply(X1,multiply(X2,X3)))),multiply(X0,X2))=inverse(multiply(X1,X3)))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.08/10.58 fof(f37,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f3,f9])).
% 0.08/10.58 fof(f74,plain,(
% 0.08/10.58 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),multiply(X0,X2))=multiply(inverse(X1),X2))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f37,f14])).
% 0.08/10.58 fof(f84,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.08/10.58 inference(backward_demodulation,[status(thm)],[f74,f14])).
% 0.08/10.58 fof(f87,plain,(
% 0.08/10.58 ![X0,X1,X2]: (multiply(inverse(multiply(X0,multiply(X1,X2))),X1)=inverse(multiply(X0,X2)))),
% 0.08/10.58 inference(backward_demodulation,[status(thm)],[f74,f26])).
% 0.08/10.58 fof(f99,plain,(
% 0.08/10.58 ![X0,X1]: (inverse(multiply(inverse(multiply(X0,X1)),X1))=X0)),
% 0.08/10.58 inference(backward_demodulation,[status(thm)],[f87,f23])).
% 0.08/10.58 fof(f106,plain,(
% 0.08/10.58 ![X0,X1]: (X0=multiply(inverse(multiply(inverse(X1),X1)),X0))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f3,f84])).
% 0.08/10.58 fof(f107,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f84,f84])).
% 0.08/10.58 fof(f117,plain,(
% 0.08/10.58 ![X0,X1]: (inverse(multiply(inverse(X0),X1))=multiply(inverse(X1),X0))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f37,f99])).
% 0.08/10.58 fof(f121,plain,(
% 0.08/10.58 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=X1)),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f99,f37])).
% 0.08/10.58 fof(f125,plain,(
% 0.08/10.58 ![X0,X1]: (X0=multiply(multiply(inverse(X1),X1),X0))),
% 0.08/10.58 inference(backward_demodulation,[status(thm)],[f117,f106])).
% 0.08/10.58 fof(f138,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(inverse(inverse(X0)),inverse(multiply(X1,X0)))=inverse(X1))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f107,f107])).
% 0.08/10.58 fof(f139,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f84,f107])).
% 0.08/10.58 fof(f143,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(X0,multiply(inverse(X1),X1))=X0)),
% 0.08/10.58 inference(paramodulation,[status(thm)],[f107,f3])).
% 0.08/10.58 fof(f147,plain,(
% 0.08/10.58 ![X0,X1]: (inverse(multiply(inverse(X0),multiply(X1,X0)))=inverse(X1))),
% 0.08/10.58 inference(backward_demodulation,[status(thm)],[f139,f138])).
% 0.08/10.58 fof(f150,plain,(
% 0.08/10.58 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.08/10.59 inference(backward_demodulation,[status(thm)],[f152,f121])).
% 0.08/10.59 fof(f152,plain,(
% 0.08/10.59 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X1)=inverse(X0))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f117,f147])).
% 0.08/10.59 fof(f163,plain,(
% 0.08/10.59 ![X0,X1,X2]: (multiply(X0,multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2))=X2)),
% 0.08/10.59 inference(paramodulation,[status(thm)],[f143,f3])).
% 0.08/10.59 fof(f173,plain,(
% 0.08/10.59 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f143,f163])).
% 0.08/10.59 fof(f178,plain,(
% 0.08/10.59 ![X0]: (inverse(inverse(X0))=X0)),
% 0.08/10.59 inference(paramodulation,[status(thm)],[f125,f150])).
% 0.08/10.59 fof(f224,plain,(
% 0.08/10.59 ![X0,X1,X2,X3]: (multiply(multiply(inverse(multiply(X0,X1)),X2),multiply(X3,X1))=multiply(multiply(inverse(X0),X3),X2))),
% 0.08/10.59 inference(paramodulation,[status(thm)],[f37,f17])).
% 0.08/10.59 fof(f230,plain,(
% 0.08/10.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(multiply(inverse(X2),X3)),X1),multiply(X0,X3)))),
% 0.08/10.59 inference(paramodulation,[status(thm)],[f37,f17])).
% 0.08/10.59 fof(f232,plain,(
% 0.08/10.59 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(inverse(X2),X2)))=multiply(multiply(inverse(X3),X1),multiply(X0,X3)))),
% 0.08/10.59 inference(paramodulation,[status(thm)],[f143,f17])).
% 0.08/10.59 fof(f249,plain,(
% 0.08/10.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(inverse(inverse(X2)),X0),X1))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f224,f230])).
% 0.08/10.59 fof(f271,plain,(
% 0.08/10.59 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X2,X0),X1))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f178,f249])).
% 0.08/10.59 fof(f274,plain,(
% 0.08/10.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(multiply(inverse(X2),X1),multiply(X0,X2)))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f143,f232])).
% 0.08/10.59 fof(f275,plain,(
% 0.08/10.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(multiply(X0,X2),inverse(X2))))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f271,f274])).
% 0.08/10.59 fof(f276,plain,(
% 0.08/10.59 ![X0,X1,X2]: (multiply(X0,X1)=multiply(X1,multiply(X2,multiply(inverse(X2),X0))))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f271,f275])).
% 0.08/10.59 fof(f278,plain,(
% 0.08/10.59 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.08/10.59 inference(forward_demodulation,[status(thm)],[f173,f276])).
% 0.08/10.59 fof(f279,plain,(
% 0.08/10.59 $false),
% 0.08/10.59 inference(backward_subsumption_resolution,[status(thm)],[f4,f278])).
% 0.08/10.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/10.60 % Elapsed time: 0.028394 seconds
% 0.11/10.60 % CPU time: 0.069429 seconds
% 0.11/10.60 % Total memory used: 3.360 MB
% 0.11/10.60 % Net memory used: 3.326 MB
%------------------------------------------------------------------------------