%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP615-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:36:54 PM UTC 2026
% Result : Unsatisfiable 14.92s 2.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP615-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 20:19:17 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 14.92/2.42 % Refutation found
% 14.92/2.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.92/2.42 % SZS output start CNFRefutation for theBenchmark
% 14.92/2.42 fof(f1,axiom,(
% 14.92/2.42 (![A,B,C]: (double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),double_divide(A,C)) = B ))),
% 14.92/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.92/2.42 fof(f2,axiom,(
% 14.92/2.42 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 14.92/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.92/2.42 fof(f3,negated_conjecture,(
% 14.92/2.42 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 14.92/2.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 14.92/2.42 fof(f4,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(inverse(double_divide(inverse(double_divide(X0,inverse(X1))),X2)),double_divide(X0,X2))=X1)),
% 14.92/2.42 inference(cnf_transformation,[status(thm)],[f1])).
% 14.92/2.42 fof(f5,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 14.92/2.42 inference(cnf_transformation,[status(thm)],[f2])).
% 14.92/2.42 fof(f6,plain,(
% 14.92/2.42 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 14.92/2.42 inference(cnf_transformation,[status(thm)],[f3])).
% 14.92/2.42 fof(f12,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(double_divide(X1,inverse(X2)))),double_divide(X1,X0))=X2)),
% 14.92/2.42 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 14.92/2.42 fof(f13,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X0))=X1)),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 14.92/2.42 fof(f14,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (double_divide(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X3,X0))=double_divide(X2,X1))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f5,f13])).
% 14.92/2.42 fof(f15,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),multiply(inverse(X2),multiply(X1,multiply(inverse(X3),X0)))),X3)=X2)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f13,f13])).
% 14.92/2.42 fof(f16,plain,(
% 14.92/2.42 ![X0,X1,X2]: (multiply(double_divide(X0,X1),multiply(X1,multiply(inverse(X2),X0)))=inverse(X2))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f13,f5])).
% 14.92/2.42 fof(f17,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(X1,X2),multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1)))))=inverse(X3))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f13,f16])).
% 14.92/2.42 fof(f20,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))))=X2)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f16,f13])).
% 14.92/2.42 fof(f22,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3))))=double_divide(X3,X2))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f16,f14])).
% 14.92/2.42 fof(f85,plain,(
% 14.92/2.42 ![X0,X1,X2,X3,X4]: (double_divide(multiply(X0,multiply(inverse(X1),multiply(double_divide(X2,X3),multiply(inverse(X4),multiply(X3,multiply(inverse(X0),X2)))))),X4)=X1)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f13,f15])).
% 14.92/2.42 fof(f186,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (multiply(X0,multiply(double_divide(multiply(X1,multiply(inverse(inverse(X2)),X3)),double_divide(X3,X1)),inverse(X0)))=inverse(X2))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f17,f17])).
% 14.92/2.42 fof(f193,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(multiply(X0,multiply(inverse(inverse(X1)),X2)),double_divide(X2,X0)),inverse(X3)),X3)=X1)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f17,f15])).
% 14.92/2.42 fof(f213,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(X0,multiply(inverse(X1),inverse(X0)))=inverse(X1))),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f13,f186])).
% 14.92/2.42 fof(f215,plain,(
% 14.92/2.42 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f13,f193])).
% 14.92/2.42 fof(f282,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(X1,X2)),double_divide(X2,X1))=X0)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f5,f215])).
% 14.92/2.42 fof(f317,plain,(
% 14.92/2.42 ![X0,X1]: (double_divide(inverse(X0),double_divide(inverse(X1),X1))=X0)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f213,f13])).
% 14.92/2.42 fof(f339,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(multiply(X0,X1),double_divide(inverse(X2),X2))=double_divide(X1,X0))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f5,f317])).
% 14.92/2.42 fof(f532,plain,(
% 14.92/2.42 ![X0,X1]: (X0=double_divide(multiply(X1,inverse(X1)),inverse(X0)))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f282,f339])).
% 14.92/2.42 fof(f613,plain,(
% 14.92/2.42 ![X0,X1,X2]: (multiply(X0,multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2)))))=inverse(X1))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f532,f16])).
% 14.92/2.42 fof(f614,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(multiply(inverse(X0),multiply(inverse(X1),multiply(X2,inverse(X2)))),X0)=X1)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f532,f13])).
% 14.92/2.42 fof(f615,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(inverse(X0),multiply(X1,inverse(X1)))=inverse(X0))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f532,f5])).
% 14.92/2.42 fof(f617,plain,(
% 14.92/2.42 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X0)=X1)),
% 14.92/2.42 inference(backward_demodulation,[status(thm)],[f615,f614])).
% 14.92/2.42 fof(f618,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(X0,multiply(inverse(X0),inverse(X1)))=inverse(X1))),
% 14.92/2.42 inference(backward_demodulation,[status(thm)],[f615,f613])).
% 14.92/2.42 fof(f626,plain,(
% 14.92/2.42 ![X0]: (X0=inverse(inverse(X0)))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f532,f617])).
% 14.92/2.42 fof(f638,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(multiply(X1,X2)),inverse(X3))),X3))=double_divide(X2,X1))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f617,f22])).
% 14.92/2.42 fof(f642,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(X2))),X2))=X1)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f617,f20])).
% 14.92/2.42 fof(f705,plain,(
% 14.92/2.42 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 14.92/2.42 inference(backward_demodulation,[status(thm)],[f706,f638])).
% 14.92/2.42 fof(f706,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(inverse(X0),double_divide(multiply(inverse(X0),multiply(X1,inverse(X2))),X2))=X1)),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f626,f642])).
% 14.92/2.42 fof(f747,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=inverse(inverse(X1)))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f626,f213])).
% 14.92/2.42 fof(f767,plain,(
% 14.92/2.42 ![X0,X1,X2]: (double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X0))=inverse(X1))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f626,f13])).
% 14.92/2.42 fof(f781,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f626,f747])).
% 14.92/2.42 fof(f880,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f626,f781])).
% 14.92/2.42 fof(f963,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f880,f880])).
% 14.92/2.42 fof(f972,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(double_divide(X0,X1),X1)=inverse(X0))),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f705,f963])).
% 14.92/2.42 fof(f1006,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=double_divide(X1,X0))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f972,f880])).
% 14.92/2.42 fof(f1007,plain,(
% 14.92/2.42 ![X0,X1]: (inverse(inverse(X0))=double_divide(X1,double_divide(X0,X1)))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f972,f705])).
% 14.92/2.42 fof(f1063,plain,(
% 14.92/2.42 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 14.92/2.42 inference(backward_demodulation,[status(thm)],[f1006,f618])).
% 14.92/2.42 fof(f1076,plain,(
% 14.92/2.42 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f626,f1007])).
% 14.92/2.42 fof(f1115,plain,(
% 14.92/2.42 ![X0,X1]: (X0=double_divide(double_divide(X1,X0),X1))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f1076,f1076])).
% 14.92/2.42 fof(f1176,plain,(
% 14.92/2.42 ![X0,X1,X2,X3]: (double_divide(multiply(X0,double_divide(X1,X2)),X3)=multiply(inverse(X3),multiply(X2,multiply(inverse(X0),X1))))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f880,f85])).
% 14.92/2.42 fof(f1209,plain,(
% 14.92/2.42 ![X0,X1,X2,X3,X4]: (multiply(X0,X1)=inverse(multiply(X2,multiply(inverse(X0),multiply(double_divide(X3,X4),multiply(inverse(X1),multiply(X4,multiply(inverse(X2),X3))))))))),
% 14.92/2.42 inference(paramodulation,[status(thm)],[f85,f972])).
% 14.92/2.42 fof(f1345,plain,(
% 14.92/2.42 ![X0,X1,X2,X3,X4]: (multiply(X0,X1)=double_divide(multiply(inverse(X0),multiply(double_divide(X2,X3),multiply(inverse(X1),multiply(X3,multiply(inverse(X4),X2))))),X4))),
% 14.92/2.42 inference(forward_demodulation,[status(thm)],[f705,f1209])).
% 14.92/2.45 fof(f1346,plain,(
% 14.92/2.45 ![X0,X1,X2,X3,X4]: (multiply(X0,X1)=double_divide(double_divide(multiply(X1,double_divide(multiply(X2,multiply(inverse(X3),X4)),double_divide(X4,X2))),X0),X3))),
% 14.92/2.45 inference(forward_demodulation,[status(thm)],[f1176,f1345])).
% 14.92/2.45 fof(f1347,plain,(
% 14.92/2.45 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(multiply(X1,inverse(inverse(X2))),X0),X2))),
% 14.92/2.45 inference(forward_demodulation,[status(thm)],[f767,f1346])).
% 14.92/2.45 fof(f1348,plain,(
% 14.92/2.45 ![X0,X1,X2]: (multiply(X0,X1)=double_divide(double_divide(multiply(X1,X2),X0),X2))),
% 14.92/2.45 inference(forward_demodulation,[status(thm)],[f626,f1347])).
% 14.92/2.45 fof(f1525,plain,(
% 14.92/2.45 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 14.92/2.45 inference(paramodulation,[status(thm)],[f1115,f1063])).
% 14.92/2.45 fof(f1638,plain,(
% 14.92/2.45 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 14.92/2.45 inference(paramodulation,[status(thm)],[f5,f1525])).
% 14.92/2.45 fof(f1677,plain,(
% 14.92/2.45 ~multiply(multiply(b3,a3),c3)=multiply(a3,multiply(b3,c3))),
% 14.92/2.45 inference(paramodulation,[status(thm)],[f1638,f6])).
% 14.92/2.45 fof(f8300,plain,(
% 14.92/2.45 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(multiply(X2,X0),X1)))),
% 14.92/2.45 inference(paramodulation,[status(thm)],[f1348,f1063])).
% 14.92/2.45 fof(f8444,plain,(
% 14.92/2.45 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 14.92/2.45 inference(backward_demodulation,[status(thm)],[f8627,f1677])).
% 14.92/2.45 fof(f8627,plain,(
% 14.92/2.45 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X2,X0),X1))),
% 14.92/2.45 inference(forward_demodulation,[status(thm)],[f1525,f8300])).
% 14.92/2.45 fof(f10143,plain,(
% 14.92/2.45 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(c3,b3))),
% 14.92/2.45 inference(paramodulation,[status(thm)],[f1638,f8444])).
% 14.92/2.45 fof(f10145,plain,(
% 14.92/2.45 $false),
% 14.92/2.45 inference(trivial_equality_resolution,[status(thm)],[f10143])).
% 14.92/2.45 % SZS output end CNFRefutation for theBenchmark.p
% 11.77/2.50 % Elapsed time: 2.041441 seconds
% 11.77/2.50 % CPU time: 15.750007 seconds
% 11.77/2.50 % Total memory used: 202.285 MB
% 11.77/2.50 % Net memory used: 191.361 MB
%------------------------------------------------------------------------------