%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP092-1 : 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 : n017.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 12:35:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP092-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.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 19:52:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 (![X,Y,Z]: (divide(divide(X,Y),divide(divide(X,Z),Y)) = Z ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f2,axiom,(
% 0.13/0.42 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f3,axiom,(
% 0.13/0.42 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f4,axiom,(
% 0.13/0.42 (![X]: (identity = divide(X,X) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f5,negated_conjecture,(
% 0.13/0.42 ( 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) ) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f6,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,X2),X1))=X2)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.42 fof(f7,plain,(
% 0.13/0.42 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.42 fof(f8,plain,(
% 0.13/0.42 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.42 fof(f9,plain,(
% 0.13/0.42 ![X0]: (identity=divide(X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.42 fof(f10,plain,(
% 0.13/0.42 ~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)),
% 0.13/0.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.42 fof(f11,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.13/0.42 fof(f12,plain,(
% 0.13/0.42 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f9,f8])).
% 0.13/0.42 fof(f13,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f12,f11])).
% 0.13/0.42 fof(f15,plain,(
% 0.13/0.42 identity=inverse(identity)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f12,f9])).
% 0.13/0.42 fof(f16,plain,(
% 0.13/0.42 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.13/0.42 fof(f19,plain,(
% 0.13/0.42 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f16,f10])).
% 0.13/0.42 fof(f20,plain,(
% 0.13/0.42 ~identity=multiply(inverse(b1),b1)|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f16,f19])).
% 0.13/0.42 fof(f21,plain,(
% 0.13/0.42 ~identity=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f16,f20])).
% 0.13/0.42 fof(f22,plain,(
% 0.13/0.42 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f13,f21])).
% 0.13/0.42 fof(f23,plain,(
% 0.13/0.42 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f22])).
% 0.13/0.42 fof(f24,plain,(
% 0.13/0.42 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f15,f11])).
% 0.13/0.42 fof(f43,plain,(
% 0.13/0.42 ![X0,X1]: (divide(inverse(X0),divide(divide(identity,X1),X0))=X1)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f12,f6])).
% 0.13/0.42 fof(f52,plain,(
% 0.13/0.42 ![X0,X1]: (divide(divide(X0,X1),divide(identity,X1))=X0)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.13/0.42 fof(f53,plain,(
% 0.13/0.42 ![X0,X1]: (divide(inverse(X0),divide(inverse(X1),X0))=X1)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f12,f43])).
% 0.13/0.42 fof(f58,plain,(
% 0.13/0.42 ![X0,X1]: (divide(divide(X0,X1),inverse(X1))=X0)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f12,f52])).
% 0.13/0.42 fof(f59,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f11,f58])).
% 0.13/0.42 fof(f60,plain,(
% 0.13/0.42 ![X0]: (divide(divide(X0,identity),identity)=X0)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f24,f59])).
% 0.13/0.42 fof(f63,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f11,f59])).
% 0.13/0.42 fof(f64,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f9,f59])).
% 0.13/0.42 fof(f66,plain,(
% 0.13/0.42 ![X0]: (X0=inverse(inverse(X0)))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f64,f13])).
% 0.13/0.42 fof(f67,plain,(
% 0.13/0.42 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f66,f23])).
% 0.13/0.42 fof(f68,plain,(
% 0.13/0.42 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f67])).
% 0.13/0.42 fof(f76,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f66,f11])).
% 0.13/0.42 fof(f77,plain,(
% 0.13/0.42 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f76,f63])).
% 0.13/0.42 fof(f94,plain,(
% 0.13/0.42 ![X0]: (divide(divide(X0,identity),X0)=identity)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f60,f6])).
% 0.13/0.42 fof(f97,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,divide(divide(divide(X0,identity),X1),identity))=X1)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f60,f6])).
% 0.13/0.42 fof(f129,plain,(
% 0.13/0.42 ![X0]: (multiply(identity,X0)=divide(X0,identity))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f94,f59])).
% 0.13/0.42 fof(f144,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,divide(divide(X0,identity),X1))=X1)),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f147,f97])).
% 0.13/0.42 fof(f147,plain,(
% 0.13/0.42 ![X0]: (X0=divide(X0,identity))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f64,f129])).
% 0.13/0.42 fof(f152,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f147,f144])).
% 0.13/0.42 fof(f181,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(divide(inverse(X0),X1),divide(X2,X1))=divide(inverse(X2),X0))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f53,f6])).
% 0.13/0.42 fof(f194,plain,(
% 0.13/0.42 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f77,f152])).
% 0.13/0.42 fof(f195,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(divide(X0,X1),X2)=divide(divide(X0,X2),X1))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f6,f152])).
% 0.13/0.42 fof(f199,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f11,f152])).
% 0.13/0.42 fof(f204,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f152,f59])).
% 0.13/0.42 fof(f205,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(divide(X0,X1),divide(X2,X1))=divide(X0,X2))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f152,f6])).
% 0.13/0.42 fof(f211,plain,(
% 0.13/0.42 ![X0,X1]: (divide(inverse(X0),X1)=divide(inverse(X1),X0))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f205,f181])).
% 0.13/0.42 fof(f222,plain,(
% 0.13/0.42 ![X0,X1]: (divide(divide(X0,X1),X0)=inverse(X1))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f76,f194])).
% 0.13/0.42 fof(f227,plain,(
% 0.13/0.42 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f194,f59])).
% 0.13/0.42 fof(f230,plain,(
% 0.13/0.42 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.42 inference(backward_subsumption_resolution,[status(thm)],[f68,f227])).
% 0.13/0.42 fof(f247,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,X1)=multiply(inverse(X1),X0))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f76,f227])).
% 0.13/0.42 fof(f282,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f204,f199])).
% 0.13/0.42 fof(f303,plain,(
% 0.13/0.42 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f199,f222])).
% 0.13/0.42 fof(f315,plain,(
% 0.13/0.42 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X0,X1)))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f303,f211])).
% 0.13/0.42 fof(f333,plain,(
% 0.13/0.42 ![X0,X1]: (divide(X0,inverse(X1))=multiply(X1,X0))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f66,f247])).
% 0.13/0.42 fof(f360,plain,(
% 0.13/0.42 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f282,f76])).
% 0.13/0.42 fof(f554,plain,(
% 0.13/0.42 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(divide(X1,inverse(X0)),X2))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f333,f195])).
% 0.13/0.42 fof(f607,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=divide(divide(X2,inverse(X0)),X1))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f360,f554])).
% 0.13/0.42 fof(f613,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=divide(multiply(X0,X2),X1))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f333,f607])).
% 0.13/0.42 fof(f891,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(X0,divide(inverse(X1),X2))=multiply(X1,multiply(X0,X2)))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f333,f613])).
% 0.13/0.42 fof(f927,plain,(
% 0.13/0.42 ![X0,X1,X2]: (divide(X0,inverse(multiply(X1,X2)))=multiply(X1,multiply(X0,X2)))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f315,f891])).
% 0.13/0.42 fof(f928,plain,(
% 0.13/0.42 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.42 inference(backward_demodulation,[status(thm)],[f932,f230])).
% 0.13/0.42 fof(f932,plain,(
% 0.13/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X2,X1)))),
% 0.13/0.42 inference(forward_demodulation,[status(thm)],[f333,f927])).
% 0.13/0.42 fof(f1108,plain,(
% 0.13/0.42 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.42 inference(paramodulation,[status(thm)],[f227,f928])).
% 0.13/0.42 fof(f1110,plain,(
% 0.13/0.42 $false),
% 0.13/0.42 inference(trivial_equality_resolution,[status(thm)],[f1108])).
% 0.13/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.072100 seconds
% 0.13/0.44 % CPU time: 0.318459 seconds
% 0.13/0.44 % Total memory used: 70.822 MB
% 0.13/0.44 % Net memory used: 70.137 MB
%------------------------------------------------------------------------------