%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP105-1 : 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 : n018.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 12:35:38 PM UTC 2026
% Result : Unsatisfiable 1.53s 0.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP105-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 19:59:44 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.53/0.68 % Refutation found
% 1.53/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.53/0.68 % SZS output start CNFRefutation for theBenchmark
% 1.53/0.68 fof(f1,axiom,(
% 1.53/0.68 (![X,Y,Z]: (double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = Z ))),
% 1.53/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.68 fof(f2,axiom,(
% 1.53/0.68 (![X,Y]: (multiply(X,Y) = inverse(double_divide(Y,X)) ))),
% 1.53/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.68 fof(f3,negated_conjecture,(
% 1.53/0.68 ( 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) ) ),
% 1.53/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.53/0.68 fof(f4,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1)=X2)),
% 1.53/0.68 inference(cnf_transformation,[status(thm)],[f1])).
% 1.53/0.68 fof(f5,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 1.53/0.68 inference(cnf_transformation,[status(thm)],[f2])).
% 1.53/0.68 fof(f6,plain,(
% 1.53/0.68 ~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)),
% 1.53/0.68 inference(cnf_transformation,[status(thm)],[f3])).
% 1.53/0.68 fof(f7,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2)=X1)),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 1.53/0.68 fof(f8,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2)=X0)),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f5,f7])).
% 1.53/0.68 fof(f10,plain,(
% 1.53/0.68 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3)=X0)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f8,f8])).
% 1.53/0.68 fof(f11,plain,(
% 1.53/0.68 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0)))=inverse(X1))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f8,f5])).
% 1.53/0.68 fof(f14,plain,(
% 1.53/0.68 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X0))),X2))=inverse(X1))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f8,f11])).
% 1.53/0.68 fof(f39,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(multiply(inverse(X0),X0),inverse(X1))=X1)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f11,f10])).
% 1.53/0.68 fof(f57,plain,(
% 1.53/0.68 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0))=inverse(X1))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f39,f11])).
% 1.53/0.68 fof(f58,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2))=X0)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f39,f8])).
% 1.53/0.68 fof(f59,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X1))=inverse(X0))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f39,f5])).
% 1.53/0.68 fof(f60,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f59,f58])).
% 1.53/0.68 fof(f61,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f59,f57])).
% 1.53/0.68 fof(f79,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X1),X1)))=X0)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f59,f60])).
% 1.53/0.68 fof(f80,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1))=X1)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f59,f39])).
% 1.53/0.68 fof(f98,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(inverse(X0),inverse(multiply(inverse(X0),X1)))=X1)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f61,f60])).
% 1.53/0.68 fof(f107,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(multiply(inverse(X2),X2)))=double_divide(X1,X0))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f5,f79])).
% 1.53/0.68 fof(f114,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),inverse(X1)),X1),inverse(multiply(inverse(X2),X2)))=X0)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f79,f8])).
% 1.53/0.68 fof(f118,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),inverse(X0)))=X1)),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f107,f114])).
% 1.53/0.68 fof(f119,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f79,f80])).
% 1.53/0.68 fof(f130,plain,(
% 1.53/0.68 ~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 1.53/0.68 inference(backward_subsumption_resolution,[status(thm)],[f6,f119])).
% 1.53/0.68 fof(f178,plain,(
% 1.53/0.68 ![X0]: (~multiply(multiply(inverse(X0),X0),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f119,f130])).
% 1.53/0.68 fof(f180,plain,(
% 1.53/0.68 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(inverse(X0),X0),X1),X2)=multiply(multiply(inverse(X1),X3),double_divide(X3,X2)))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f119,f10])).
% 1.53/0.68 fof(f190,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X0),double_divide(X1,X2)),X2)=X1)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f119,f8])).
% 1.53/0.68 fof(f212,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(inverse(multiply(inverse(X0),X0)),X1)=X1)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f80,f98])).
% 1.53/0.68 fof(f215,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(inverse(X0),inverse(inverse(X1)))=multiply(inverse(X1),X0))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f61,f98])).
% 1.53/0.68 fof(f221,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(inverse(X0),inverse(inverse(X1)))=multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X0))))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f11,f98])).
% 1.53/0.68 fof(f262,plain,(
% 1.53/0.68 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(multiply(inverse(X0),X2),double_divide(X2,inverse(X1))))),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f215,f221])).
% 1.53/0.68 fof(f290,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f212,f60])).
% 1.53/0.68 fof(f326,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(inverse(double_divide(X0,inverse(X0))),X1)=X1)),
% 1.53/0.68 inference(paramodulation,[status(thm)],[f290,f212])).
% 1.53/0.68 fof(f342,plain,(
% 1.53/0.68 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f348,f178])).
% 1.53/0.68 fof(f344,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f348,f190])).
% 1.53/0.68 fof(f347,plain,(
% 1.53/0.68 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(multiply(inverse(X0),X2),double_divide(X2,X1)))),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f348,f180])).
% 1.53/0.68 fof(f348,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f5,f326])).
% 1.53/0.68 fof(f352,plain,(
% 1.53/0.68 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 1.53/0.68 inference(trivial_equality_resolution,[status(thm)],[f342])).
% 1.53/0.68 fof(f357,plain,(
% 1.53/0.68 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f347,f262])).
% 1.53/0.68 fof(f367,plain,(
% 1.53/0.68 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),double_divide(X2,X0)),X2))=inverse(X1))),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f347,f14])).
% 1.53/0.68 fof(f370,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(X0,inverse(multiply(inverse(X1),X1)))=inverse(X0))),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f357,f59])).
% 1.53/0.68 fof(f375,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(inverse(X0),inverse(double_divide(X1,inverse(X1))))=X0)),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f357,f79])).
% 1.53/0.68 fof(f390,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(X0,double_divide(X1,inverse(inverse(X0))))=X1)),
% 1.53/0.68 inference(backward_demodulation,[status(thm)],[f357,f118])).
% 1.53/0.68 fof(f459,plain,(
% 1.53/0.68 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(X1,inverse(double_divide(X2,X0))),X2))=inverse(X1))),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f357,f367])).
% 1.53/0.68 fof(f460,plain,(
% 1.53/0.68 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(X1,multiply(X0,X2)),X2))=inverse(X1))),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f5,f459])).
% 1.53/0.68 fof(f465,plain,(
% 1.53/0.68 ![X0,X1]: (double_divide(X0,inverse(double_divide(X1,inverse(X1))))=inverse(X0))),
% 1.53/0.68 inference(forward_demodulation,[status(thm)],[f357,f370])).
% 1.53/0.70 fof(f466,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(X0,multiply(inverse(X1),X1))=inverse(X0))),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f5,f465])).
% 1.53/0.70 fof(f467,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(X0,double_divide(X1,inverse(X1)))=inverse(X0))),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f357,f466])).
% 1.53/0.70 fof(f473,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(inverse(X0),multiply(inverse(X1),X1))=X0)),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f5,f375])).
% 1.53/0.70 fof(f474,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(inverse(X0),double_divide(X1,inverse(X1)))=X0)),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f357,f473])).
% 1.53/0.70 fof(f475,plain,(
% 1.53/0.70 ![X0]: (inverse(inverse(X0))=X0)),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f467,f474])).
% 1.53/0.70 fof(f506,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(X0,double_divide(X1,X0))=X1)),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f475,f390])).
% 1.53/0.70 fof(f635,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 1.53/0.70 inference(paramodulation,[status(thm)],[f344,f506])).
% 1.53/0.70 fof(f636,plain,(
% 1.53/0.70 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 1.53/0.70 inference(paramodulation,[status(thm)],[f506,f506])).
% 1.53/0.70 fof(f652,plain,(
% 1.53/0.70 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 1.53/0.70 inference(paramodulation,[status(thm)],[f635,f5])).
% 1.53/0.70 fof(f695,plain,(
% 1.53/0.70 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 1.53/0.70 inference(paramodulation,[status(thm)],[f5,f652])).
% 1.53/0.70 fof(f703,plain,(
% 1.53/0.70 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 1.53/0.70 inference(backward_subsumption_resolution,[status(thm)],[f352,f695])).
% 1.53/0.70 fof(f867,plain,(
% 1.53/0.70 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(multiply(X0,X2),X1)))),
% 1.53/0.70 inference(paramodulation,[status(thm)],[f636,f460])).
% 1.53/0.70 fof(f877,plain,(
% 1.53/0.70 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 1.53/0.70 inference(backward_demodulation,[status(thm)],[f919,f703])).
% 1.53/0.70 fof(f919,plain,(
% 1.53/0.70 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X2),X1))),
% 1.53/0.70 inference(forward_demodulation,[status(thm)],[f652,f867])).
% 1.53/0.70 fof(f1018,plain,(
% 1.53/0.70 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 1.53/0.70 inference(paramodulation,[status(thm)],[f695,f877])).
% 1.53/0.70 fof(f1020,plain,(
% 1.53/0.70 $false),
% 1.53/0.70 inference(trivial_equality_resolution,[status(thm)],[f1018])).
% 1.53/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 1.53/0.71 % Elapsed time: 0.340114 seconds
% 1.53/0.71 % CPU time: 2.460554 seconds
% 1.53/0.71 % Total memory used: 105.641 MB
% 1.53/0.71 % Net memory used: 102.442 MB
%------------------------------------------------------------------------------