%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP597-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP597-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:17:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.46 % Refutation found
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.46 fof(f1,axiom,(
% 0.10/0.46 (![A,B,C]: (double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f2,axiom,(
% 0.10/0.46 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f3,negated_conjecture,(
% 0.10/0.46 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.10/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f4,plain,(
% 0.10/0.46 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1)))))=X2)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.46 fof(f5,plain,(
% 0.10/0.46 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.46 fof(f6,plain,(
% 0.10/0.46 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.46 fof(f12,plain,(
% 0.10/0.46 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2)))))=X2)),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.10/0.46 fof(f13,plain,(
% 0.10/0.46 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0))=X2)),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.10/0.46 fof(f14,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1)))=X3)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.10/0.46 fof(f15,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,multiply(X2,X3)),X0))=double_divide(X3,X2))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f5,f13])).
% 0.10/0.46 fof(f16,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0))=inverse(X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.10/0.46 fof(f20,plain,(
% 0.10/0.46 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),X1),multiply(X1,inverse(X2))),inverse(X2))=X0)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f16,f13])).
% 0.10/0.46 fof(f35,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (multiply(multiply(multiply(inverse(X0),inverse(X1)),double_divide(double_divide(inverse(X2),X3),multiply(X3,inverse(X0)))),X2)=inverse(X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f20,f16])).
% 0.10/0.46 fof(f58,plain,(
% 0.10/0.46 ![X0,X1,X2,X3]: (double_divide(X0,multiply(inverse(X0),double_divide(double_divide(double_divide(inverse(inverse(X1)),X2),multiply(X2,inverse(X3))),inverse(X3))))=X1)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f35,f14])).
% 0.10/0.46 fof(f68,plain,(
% 0.10/0.46 ![X0,X1]: (double_divide(X0,multiply(inverse(X0),inverse(X1)))=X1)),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f20,f58])).
% 0.10/0.46 fof(f78,plain,(
% 0.10/0.46 ![X0,X1]: (multiply(multiply(inverse(X0),inverse(X1)),X0)=inverse(X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f68,f5])).
% 0.10/0.46 fof(f82,plain,(
% 0.10/0.46 ![X0,X1]: (multiply(inverse(X0),double_divide(X1,inverse(X1)))=inverse(X0))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f78,f16])).
% 0.10/0.46 fof(f83,plain,(
% 0.10/0.46 ![X0,X1]: (double_divide(double_divide(X0,inverse(X0)),inverse(X1))=X1)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f78,f13])).
% 0.10/0.46 fof(f101,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(X2,inverse(X2)))=inverse(double_divide(X1,X0)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f5,f82])).
% 0.10/0.46 fof(f109,plain,(
% 0.10/0.46 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(X2,inverse(X2)))=multiply(X0,X1))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f101])).
% 0.10/0.46 fof(f134,plain,(
% 0.10/0.46 ![X0,X1]: (inverse(X0)=multiply(inverse(double_divide(X1,inverse(X1))),inverse(X0)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f78,f109])).
% 0.10/0.46 fof(f160,plain,(
% 0.10/0.46 ![X0,X1]: (inverse(X0)=multiply(multiply(inverse(X1),X1),inverse(X0)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f5,f134])).
% 0.10/0.46 fof(f183,plain,(
% 0.10/0.46 ![X0,X1]: (double_divide(double_divide(inverse(X0),inverse(inverse(X1))),inverse(X0))=X1)),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f160,f13])).
% 0.10/0.46 fof(f186,plain,(
% 0.10/0.46 ![X0,X1,X2]: (double_divide(double_divide(double_divide(inverse(X0),multiply(inverse(X1),X1)),inverse(X2)),inverse(X2))=X0)),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f160,f20])).
% 0.10/0.47 fof(f328,plain,(
% 0.10/0.47 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0))=double_divide(inverse(X2),multiply(inverse(X3),X3)))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f160,f15])).
% 0.10/0.47 fof(f344,plain,(
% 0.10/0.47 ![X0,X1]: (double_divide(double_divide(X0,inverse(X1)),inverse(X1))=X0)),
% 0.10/0.47 inference(backward_demodulation,[status(thm)],[f346,f186])).
% 0.10/0.47 fof(f346,plain,(
% 0.10/0.47 ![X0,X1]: (X0=double_divide(inverse(X0),multiply(inverse(X1),X1)))),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f13,f328])).
% 0.10/0.47 fof(f379,plain,(
% 0.10/0.47 ![X0]: (X0=inverse(inverse(X0)))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f183,f344])).
% 0.10/0.47 fof(f384,plain,(
% 0.10/0.47 ![X0,X1]: (double_divide(X0,inverse(X0))=double_divide(X1,inverse(X1)))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f83,f344])).
% 0.10/0.47 fof(f455,plain,(
% 0.10/0.47 ![X0,X1]: (double_divide(double_divide(X0,inverse(inverse(X1))),X1)=X0)),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f379,f344])).
% 0.10/0.47 fof(f466,plain,(
% 0.10/0.47 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=inverse(inverse(X1)))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f379,f78])).
% 0.10/0.47 fof(f476,plain,(
% 0.10/0.47 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f379,f455])).
% 0.10/0.47 fof(f493,plain,(
% 0.10/0.47 ![X0,X1]: (multiply(multiply(inverse(X0),X1),X0)=X1)),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f379,f466])).
% 0.10/0.47 fof(f504,plain,(
% 0.10/0.47 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f476,f5])).
% 0.10/0.47 fof(f507,plain,(
% 0.10/0.47 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(X0,inverse(X1)))),
% 0.10/0.47 inference(paramodulation,[status(thm)],[f504,f493])).
% 0.10/0.47 fof(f531,plain,(
% 0.10/0.47 ![X0,X1]: (double_divide(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 0.10/0.47 inference(backward_demodulation,[status(thm)],[f507,f384])).
% 0.10/0.47 fof(f560,plain,(
% 0.10/0.47 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f507,f531])).
% 0.10/0.47 fof(f561,plain,(
% 0.10/0.47 $false),
% 0.10/0.47 inference(backward_subsumption_resolution,[status(thm)],[f6,f560])).
% 0.10/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.79/0.54
% 0.79/0.54 % SZS status Unknown for theBenchmark.p: SIGTERM
%------------------------------------------------------------------------------