%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP089-1 : 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 : n015.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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP089-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:00:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![X,Y,Z]: (divide(X,divide(divide(X,Y),divide(Z,Y))) = Z ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![X,Y,Z]: (multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X,Z]: (inverse(X) = divide(divide(Z,Z),X) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,negated_conjecture,(
% 0.13/0.40 ( 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) ) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,plain,(
% 0.13/0.40 ![X0,X1,X2]: (divide(X0,divide(divide(X0,X1),divide(X2,X1)))=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f6,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f7,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f8,plain,(
% 0.13/0.40 ~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)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f9,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.13/0.40 fof(f11,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f7,f9])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(X0)=divide(multiply(inverse(X1),X1),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f7])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=inverse(inverse(X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f22,f8])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,inverse(divide(X1,X0)))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f7,f5])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,divide(X1,X2)),X2))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f5,f5])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,divide(X1,X0))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f9,f26])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 ![X0,X1]: (inverse(inverse(divide(X0,divide(X1,X1))))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f11,f40])).
% 0.13/0.40 fof(f51,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,inverse(X0))=divide(X1,X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f7,f40])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f40])).
% 0.13/0.40 fof(f56,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f51])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,multiply(X1,inverse(X1)))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f5])).
% 0.13/0.40 fof(f67,plain,(
% 0.13/0.40 ![X0,X1,X2]: (divide(X0,divide(divide(X0,X1),multiply(X2,inverse(X2))))=X1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f51,f5])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f63,f67])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f56,f5])).
% 0.13/0.40 fof(f109,plain,(
% 0.13/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f88,f49])).
% 0.13/0.40 fof(f117,plain,(
% 0.13/0.40 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f109,f23])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f117])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f109,f9])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f72])).
% 0.13/0.40 fof(f154,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f72,f40])).
% 0.13/0.40 fof(f247,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f13,f154])).
% 0.13/0.40 fof(f252,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f154])).
% 0.13/0.40 fof(f257,plain,(
% 0.13/0.40 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f127,f247])).
% 0.13/0.40 fof(f258,plain,(
% 0.13/0.40 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f131,f252])).
% 0.13/0.40 fof(f271,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f258,f40])).
% 0.13/0.40 fof(f274,plain,(
% 0.13/0.40 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f257,f271])).
% 0.13/0.40 fof(f320,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f154,f53])).
% 0.13/0.40 fof(f420,plain,(
% 0.13/0.40 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f40,f148])).
% 0.13/0.40 fof(f466,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X1,divide(X2,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f27,f40])).
% 0.13/0.40 fof(f506,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,X1)=divide(X1,inverse(X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f109,f320])).
% 0.13/0.40 fof(f529,plain,(
% 0.13/0.40 ![X0,X1]: (divide(inverse(X0),X1)=inverse(multiply(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f9,f420])).
% 0.13/0.40 fof(f660,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,divide(X1,inverse(X2)))=divide(X1,inverse(multiply(X0,X2))))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f529,f466])).
% 0.13/0.40 fof(f698,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=divide(X2,inverse(multiply(X0,X1))))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f506,f660])).
% 0.13/0.40 fof(f699,plain,(
% 0.13/0.40 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f703,f274])).
% 0.13/0.40 fof(f703,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f506,f698])).
% 0.13/0.40 fof(f714,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(trivial_equality_resolution,[status(thm)],[f699])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.44 % Elapsed time: 0.062330 seconds
% 0.13/0.44 % CPU time: 0.266280 seconds
% 0.13/0.44 % Total memory used: 70.180 MB
% 0.13/0.44 % Net memory used: 69.648 MB
%------------------------------------------------------------------------------