%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP085-1 : 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 : n009.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 12:35:36 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP085-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 20 19:57:12 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.46 % Refutation found
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.46 fof(f1,axiom,(
% 0.12/0.46 (![X,Y,Z]: (multiply(multiply(multiply(X,Y),Z),inverse(multiply(X,Z))) = Y ))),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f2,negated_conjecture,(
% 0.12/0.46 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))| multiply(a4,b4) != multiply(b4,a4) ) ),
% 0.12/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.46 fof(f3,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),inverse(multiply(X0,X2)))=X1)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.46 fof(f4,plain,(
% 0.12/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.12/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.46 fof(f5,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(multiply(X1,X2)))))=X2)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.12/0.46 fof(f6,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(multiply(multiply(X2,X0),X3),X1)))=inverse(multiply(X2,X3)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.12/0.46 fof(f7,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(multiply(multiply(multiply(X0,X1),X2),X3),inverse(multiply(X0,X2))),inverse(X1))=X3)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.12/0.46 fof(f11,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(X1,X0),inverse(X2))))=inverse(multiply(multiply(X3,X1),inverse(multiply(X3,X2)))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.12/0.46 fof(f12,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,inverse(multiply(multiply(X2,multiply(X1,X3)),inverse(multiply(X2,X0)))))))=X3)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f3])).
% 0.12/0.46 fof(f14,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=inverse(multiply(multiply(X3,X2),inverse(multiply(X3,X0)))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f3])).
% 0.12/0.46 fof(f15,plain,(
% 0.12/0.46 ![X0,X1,X2]: (X0=inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X1,X2),X0))))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f6])).
% 0.12/0.46 fof(f36,plain,(
% 0.12/0.46 ![X0,X1,X2]: (X0=inverse(multiply(multiply(X1,X2),inverse(multiply(X1,multiply(X2,X0))))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f6,f15])).
% 0.12/0.46 fof(f38,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(multiply(multiply(X1,X2),X0),X3)))=inverse(multiply(X1,multiply(X2,X3))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.12/0.46 fof(f41,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (inverse(multiply(multiply(X0,multiply(X1,X2)),inverse(multiply(X0,X3))))=inverse(multiply(X1,multiply(X2,inverse(X3)))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f15])).
% 0.12/0.46 fof(f47,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,X1),multiply(X2,inverse(multiply(multiply(X0,X2),X3)))),X3)=X1)),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f15,f3])).
% 0.12/0.46 fof(f52,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,inverse(multiply(X1,multiply(X2,inverse(X0)))))))=X2)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f41,f12])).
% 0.12/0.46 fof(f60,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))=inverse(multiply(multiply(X3,X1),inverse(multiply(X3,X2)))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f36])).
% 0.12/0.46 fof(f88,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(multiply(multiply(multiply(X2,X1),X3),inverse(multiply(X2,X3)))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f7,f6])).
% 0.12/0.46 fof(f108,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f3,f88])).
% 0.12/0.46 fof(f123,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(X0,inverse(multiply(multiply(X1,X0),X2)))=inverse(multiply(X1,X2)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f3,f108])).
% 0.12/0.46 fof(f124,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(inverse(X0),inverse(multiply(X1,inverse(X0))))=inverse(X1))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f108,f108])).
% 0.12/0.46 fof(f126,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(X0,inverse(X1))=inverse(multiply(multiply(X2,X1),inverse(multiply(X2,X0)))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f5,f108])).
% 0.12/0.46 fof(f127,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(X0))=inverse(multiply(multiply(X2,X3),inverse(multiply(X2,multiply(X3,X1))))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f36,f108])).
% 0.12/0.46 fof(f128,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(X0))=inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(X2,X3),X1))))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f15,f108])).
% 0.12/0.46 fof(f132,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X0)))),inverse(X2))=inverse(multiply(X1,X2)))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f108,f7])).
% 0.12/0.46 fof(f136,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(X0),X1)))=inverse(multiply(X2,inverse(X2))))),
% 0.12/0.46 inference(paramodulation,[status(thm)],[f108,f6])).
% 0.12/0.46 fof(f153,plain,(
% 0.12/0.46 ![X0,X1,X2]: (inverse(multiply(multiply(X0,X1),X2))=inverse(multiply(X0,multiply(X1,X2))))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f123,f38])).
% 0.12/0.46 fof(f155,plain,(
% 0.12/0.46 ![X0,X1,X2]: (inverse(multiply(X0,inverse(X1)))=inverse(multiply(multiply(X2,X0),inverse(multiply(X2,X1)))))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f123,f11])).
% 0.12/0.46 fof(f158,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),inverse(multiply(X0,X2))),X2)=X1)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f123,f47])).
% 0.12/0.46 fof(f168,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,X2)))=inverse(multiply(X1,multiply(X2,inverse(X0)))))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f126,f41])).
% 0.12/0.46 fof(f171,plain,(
% 0.12/0.46 ![X0,X1,X2]: (inverse(multiply(multiply(X0,X1),inverse(multiply(X0,X2))))=multiply(X2,inverse(X1)))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f126,f60])).
% 0.12/0.46 fof(f174,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(X0,inverse(X2)))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f126,f14])).
% 0.12/0.46 fof(f177,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f36,f127])).
% 0.12/0.46 fof(f178,plain,(
% 0.12/0.46 ![X0,X1,X2]: (X0=inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X1,X2),X0))))))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f177,f128])).
% 0.12/0.46 fof(f180,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f182,f52])).
% 0.12/0.46 fof(f182,plain,(
% 0.12/0.46 ![X0,X1]: (X0=inverse(multiply(X1,inverse(multiply(X1,X0)))))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f123,f178])).
% 0.12/0.46 fof(f187,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f124,f132])).
% 0.12/0.46 fof(f196,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(multiply(X2,X0),multiply(X3,X1))))=inverse(multiply(X2,X3)))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f153,f6])).
% 0.12/0.46 fof(f221,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),inverse(multiply(inverse(X0),X1)))=multiply(X2,inverse(X2)))),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f224,f136])).
% 0.12/0.46 fof(f224,plain,(
% 0.12/0.46 ![X0,X1]: (inverse(multiply(X0,inverse(X1)))=multiply(X1,inverse(X0)))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f126,f155])).
% 0.12/0.46 fof(f254,plain,(
% 0.12/0.46 ![X0,X1,X2]: (inverse(multiply(X0,multiply(X1,inverse(multiply(X0,X2)))))=multiply(X2,inverse(X1)))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f153,f171])).
% 0.12/0.46 fof(f257,plain,(
% 0.12/0.46 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),X1)=X0)),
% 0.12/0.46 inference(backward_demodulation,[status(thm)],[f260,f158])).
% 0.12/0.46 fof(f260,plain,(
% 0.12/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(multiply(X0,X2)))=multiply(X1,inverse(X2)))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f168,f254])).
% 0.12/0.46 fof(f273,plain,(
% 0.12/0.46 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),inverse(multiply(X2,multiply(X0,multiply(X3,X1)))))=inverse(multiply(X2,X3)))),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f153,f196])).
% 0.12/0.46 fof(f323,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(inverse(X0),inverse(inverse(X0)))=multiply(X1,inverse(X1)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f174,f221])).
% 0.12/0.48 fof(f324,plain,(
% 0.12/0.48 ![X0,X1]: (inverse(multiply(X0,inverse(X0)))=multiply(X1,inverse(X1)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f187,f323])).
% 0.12/0.48 fof(f325,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(X1,inverse(X1)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f224,f324])).
% 0.12/0.48 fof(f455,plain,(
% 0.12/0.48 ![X0]: (inverse(inverse(X0))=X0)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f177,f257])).
% 0.12/0.48 fof(f458,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f177,f257])).
% 0.12/0.48 fof(f477,plain,(
% 0.12/0.48 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.48 inference(backward_subsumption_resolution,[status(thm)],[f4,f458])).
% 0.12/0.48 fof(f490,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f455,f180])).
% 0.12/0.48 fof(f494,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f455,f325])).
% 0.12/0.48 fof(f508,plain,(
% 0.12/0.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f177,f458])).
% 0.12/0.48 fof(f649,plain,(
% 0.12/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,multiply(X2,X3))),inverse(multiply(X0,X2)))=multiply(X1,X3))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f273,f180])).
% 0.12/0.48 fof(f716,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X1))=multiply(X0,X2))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f260,f649])).
% 0.12/0.48 fof(f747,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f494,f494])).
% 0.12/0.48 fof(f759,plain,(
% 0.12/0.48 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f494,f257])).
% 0.12/0.48 fof(f779,plain,(
% 0.12/0.48 ~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.48 inference(backward_subsumption_resolution,[status(thm)],[f477,f747])).
% 0.12/0.48 fof(f800,plain,(
% 0.12/0.48 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f759,f779])).
% 0.12/0.48 fof(f801,plain,(
% 0.12/0.48 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.12/0.48 inference(trivial_equality_resolution,[status(thm)],[f800])).
% 0.12/0.48 fof(f1147,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(inverse(X2)))=multiply(X0,multiply(X2,X1)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f508,f716])).
% 0.12/0.48 fof(f1148,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(inverse(X2)))=multiply(X0,multiply(X1,X2)))),
% 0.12/0.48 inference(paramodulation,[status(thm)],[f490,f716])).
% 0.12/0.48 fof(f1192,plain,(
% 0.12/0.48 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.12/0.48 inference(backward_demodulation,[status(thm)],[f1266,f801])).
% 0.12/0.48 fof(f1266,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X2,X1)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f455,f1147])).
% 0.12/0.48 fof(f1267,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(X0,multiply(inverse(inverse(X1)),X2))=multiply(X0,multiply(X2,X1)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f1266,f1148])).
% 0.12/0.48 fof(f1268,plain,(
% 0.12/0.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X0,multiply(X2,X1)))),
% 0.12/0.48 inference(forward_demodulation,[status(thm)],[f455,f1267])).
% 0.12/0.48 fof(f1305,plain,(
% 0.12/0.48 $false),
% 0.12/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1192,f1268])).
% 0.12/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.49 % Elapsed time: 0.109670 seconds
% 0.12/0.49 % CPU time: 0.613774 seconds
% 0.12/0.49 % Total memory used: 77.981 MB
% 0.12/0.49 % Net memory used: 76.626 MB
%------------------------------------------------------------------------------