%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP593-1 : 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 : n007.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 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP593-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n007.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 20:15:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f1,axiom,(
% 0.15/0.47 (![A,B,C]: (inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C ))),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f2,axiom,(
% 0.15/0.47 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f3,negated_conjecture,(
% 0.15/0.47 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f4,plain,(
% 0.15/0.47 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1))))))=X2)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.47 fof(f5,plain,(
% 0.15/0.47 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.47 fof(f6,plain,(
% 0.15/0.47 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.48 fof(f12,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2))=X1)),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.15/0.48 fof(f13,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1))=X0)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.15/0.48 fof(f14,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0))=X1)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.15/0.48 fof(f15,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0)))=X1)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.15/0.48 fof(f16,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3)))=double_divide(X3,X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.15/0.48 fof(f17,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),double_divide(double_divide(X2,multiply(multiply(X1,X3),X0)),X3))=X2)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f14,f15])).
% 0.15/0.48 fof(f19,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,multiply(X2,X3))),X2))=X3)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.15/0.48 fof(f20,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,X2))=double_divide(double_divide(X0,X3),multiply(X3,X2)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f15,f14])).
% 0.15/0.48 fof(f21,plain,(
% 0.15/0.48 ![X0,X1,X2]: (X0=double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.15/0.48 fof(f37,plain,(
% 0.15/0.48 ![X0,X1,X2]: (X0=double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f16,f21])).
% 0.15/0.48 fof(f39,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0)))=double_divide(multiply(X3,X1),X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f21,f21])).
% 0.15/0.48 fof(f46,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1))))=inverse(X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f21,f5])).
% 0.15/0.48 fof(f49,plain,(
% 0.15/0.48 ![X0,X1,X2,X3,X4]: (multiply(double_divide(X0,X1),double_divide(X2,X3))=multiply(X4,double_divide(X2,multiply(multiply(multiply(X1,X3),X0),X4))))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f21,f17])).
% 0.15/0.48 fof(f70,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(double_divide(X0,X1),double_divide(X2,X3))=double_divide(multiply(X0,X2),multiply(X1,X3)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f39,f49])).
% 0.15/0.48 fof(f106,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0))=inverse(X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f37,f5])).
% 0.15/0.48 fof(f117,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(multiply(X1,double_divide(X0,multiply(multiply(X2,X3),X1))),X2))=X3)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f46,f14])).
% 0.15/0.48 fof(f124,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),X1),double_divide(X1,X2))=multiply(X3,double_divide(X0,multiply(X2,X3))))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f46,f14])).
% 0.15/0.48 fof(f131,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2))=X1)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f39,f117])).
% 0.15/0.48 fof(f138,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=inverse(double_divide(X3,X1)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f14,f106])).
% 0.15/0.48 fof(f152,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3)))=double_divide(multiply(X3,X0),X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f106,f14])).
% 0.15/0.48 fof(f154,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=multiply(X1,X3))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f138])).
% 0.15/0.48 fof(f162,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(multiply(X2,double_divide(X1,X0)),X3),X3))=X2)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f5,f131])).
% 0.15/0.48 fof(f165,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(X0,X1)),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X1,X2),X0))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f14,f131])).
% 0.15/0.48 fof(f166,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(multiply(X0,X1),X2)),double_divide(double_divide(inverse(X1),X3),X3))=multiply(X2,X0))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f106,f131])).
% 0.15/0.48 fof(f185,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2)=X1)),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f186,f162])).
% 0.15/0.48 fof(f186,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X0,X2),X1))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f165])).
% 0.15/0.48 fof(f187,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(inverse(X2),X3),X3))=multiply(X0,X1))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f166])).
% 0.15/0.48 fof(f189,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),multiply(X2,X1))=multiply(X0,X2))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f186,f187])).
% 0.15/0.48 fof(f212,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(double_divide(X1,X2),X2))=multiply(X3,multiply(X1,double_divide(X0,X3))))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f185,f131])).
% 0.15/0.48 fof(f226,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(double_divide(X1,X2))),X3)=multiply(X0,multiply(multiply(X2,X3),X1)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f14,f189])).
% 0.15/0.48 fof(f247,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X0)))=X1)),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f262,f185])).
% 0.15/0.48 fof(f250,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),X3))=multiply(X1,X3))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f262,f154])).
% 0.15/0.48 fof(f262,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),X3)=multiply(X0,multiply(multiply(X1,X3),X2)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f226])).
% 0.15/0.48 fof(f323,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X1,X2),double_divide(multiply(X2,X3),X0)))=multiply(X1,inverse(X3)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f189,f247])).
% 0.15/0.48 fof(f335,plain,(
% 0.15/0.48 ![X0,X1,X2,X3,X4]: (multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,X2)),X3))=multiply(multiply(X2,X4),double_divide(X4,X3)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f247,f19])).
% 0.15/0.48 fof(f340,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),double_divide(X3,X1)))=inverse(X3))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f247,f46])).
% 0.15/0.48 fof(f346,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(multiply(X0,X1),double_divide(X1,X2)),double_divide(double_divide(X3,X2),X0))=X3)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f247,f15])).
% 0.15/0.48 fof(f356,plain,(
% 0.15/0.48 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f250,f340])).
% 0.15/0.48 fof(f359,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=inverse(double_divide(multiply(X1,X2),X0)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f37,f356])).
% 0.15/0.48 fof(f362,plain,(
% 0.15/0.48 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X1))=X0)),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f356,f247])).
% 0.15/0.48 fof(f379,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),double_divide(X1,X2))=double_divide(X0,X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f356,f14])).
% 0.15/0.48 fof(f388,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(X1,double_divide(X1,multiply(X2,X3))))=double_divide(multiply(X3,X0),X2))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f469,f152])).
% 0.15/0.48 fof(f389,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(X1,double_divide(X1,X2)))=multiply(X3,double_divide(X0,multiply(X2,X3))))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f469,f124])).
% 0.15/0.48 fof(f393,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(double_divide(X1,X2),double_divide(double_divide(X3,X2),X0)))=X3)),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f469,f346])).
% 0.15/0.48 fof(f433,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(X2,double_divide(multiply(X2,X3),X0))))=multiply(X1,inverse(X3)))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f469,f323])).
% 0.15/0.48 fof(f448,plain,(
% 0.15/0.48 ![X0,X1,X2,X3,X4]: (multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,X2)),X3))=multiply(X2,multiply(X4,double_divide(X4,X3))))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f469,f335])).
% 0.15/0.48 fof(f454,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(X1,X2)))=double_divide(double_divide(X0,X3),multiply(X3,X2)))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f469,f20])).
% 0.15/0.48 fof(f469,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f5,f359])).
% 0.15/0.48 fof(f472,plain,(
% 0.15/0.48 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X1)))=X0)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f469,f362])).
% 0.15/0.48 fof(f497,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,double_divide(X1,X2)))=double_divide(X0,X2))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f469,f379])).
% 0.15/0.48 fof(f528,plain,(
% 0.15/0.48 ![X0,X1,X2]: (double_divide(X0,multiply(X1,X2))=double_divide(multiply(X2,X0),X1))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f497,f388])).
% 0.15/0.48 fof(f533,plain,(
% 0.15/0.48 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(X2,double_divide(X0,multiply(X1,X2))))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f497,f389])).
% 0.15/0.48 fof(f540,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(double_divide(X1,X2),double_divide(double_divide(X3,X2),X0))))=X3)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f469,f393])).
% 0.15/0.48 fof(f541,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(multiply(X1,double_divide(X2,X3)),multiply(X3,X0))))=X2)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f70,f540])).
% 0.15/0.48 fof(f542,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,double_divide(double_divide(X2,X3),multiply(multiply(X3,X0),X1))))=X2)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f528,f541])).
% 0.15/0.48 fof(f543,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(multiply(X0,double_divide(X1,X2)),X2))=X1)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f39,f542])).
% 0.15/0.48 fof(f544,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0)))=X1)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f528,f543])).
% 0.15/0.48 fof(f545,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(X2,multiply(X1,double_divide(X0,X2))))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f546,f212])).
% 0.15/0.48 fof(f546,plain,(
% 0.15/0.48 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f533,f544])).
% 0.15/0.48 fof(f616,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(X2,double_divide(X3,multiply(X0,X2)))))=multiply(X1,inverse(X3)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f528,f433])).
% 0.15/0.48 fof(f621,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,X0)))=multiply(X1,inverse(X2)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f533,f616])).
% 0.15/0.48 fof(f761,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(double_divide(X0,X1),X1),X2))=inverse(X2))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f472,f19])).
% 0.15/0.48 fof(f763,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,X2)),X2))=multiply(X3,inverse(X3)))),
% 0.15/0.48 inference(paramodulation,[status(thm)],[f472,f19])).
% 0.15/0.48 fof(f769,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,inverse(X1))=double_divide(double_divide(X0,X2),multiply(X2,X1)))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f777,f454])).
% 0.15/0.48 fof(f773,plain,(
% 0.15/0.48 ![X0,X1,X2,X3]: (multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,X2)),X3))=multiply(X2,inverse(X3)))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f777,f448])).
% 0.15/0.48 fof(f777,plain,(
% 0.15/0.48 ![X0,X1]: (multiply(X0,double_divide(X0,X1))=inverse(X1))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f546,f761])).
% 0.15/0.48 fof(f793,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(multiply(X0,inverse(X1)),X1))=multiply(X2,inverse(X2)))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f769,f763])).
% 0.15/0.48 fof(f801,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(multiply(X0,inverse(X1)),X2))=multiply(X1,inverse(X2)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f769,f773])).
% 0.15/0.48 fof(f802,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),multiply(X2,X0)))=multiply(X1,inverse(X2)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f528,f801])).
% 0.15/0.48 fof(f818,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,X0)))=double_divide(inverse(X1),X2))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f822,f621])).
% 0.15/0.48 fof(f822,plain,(
% 0.15/0.48 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(X0,inverse(X1)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f533,f802])).
% 0.15/0.48 fof(f877,plain,(
% 0.15/0.48 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),multiply(X1,X0)))=multiply(X2,inverse(X2)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f528,f793])).
% 0.15/0.48 fof(f878,plain,(
% 0.15/0.48 ![X0,X1]: (double_divide(inverse(X0),X0)=multiply(X1,inverse(X1)))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f533,f877])).
% 0.15/0.48 fof(f879,plain,(
% 0.15/0.48 ![X0,X1]: (double_divide(inverse(X0),X0)=double_divide(inverse(X1),X1))),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f822,f878])).
% 0.15/0.48 fof(f905,plain,(
% 0.15/0.48 ![X0,X1]: (multiply(inverse(X0),X1)=double_divide(inverse(X1),X0))),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f818,f545])).
% 0.15/0.48 fof(f921,plain,(
% 0.15/0.48 ~multiply(inverse(a1),a1)=double_divide(inverse(b1),b1)),
% 0.15/0.48 inference(backward_demodulation,[status(thm)],[f905,f6])).
% 0.15/0.48 fof(f927,plain,(
% 0.15/0.48 ~double_divide(inverse(a1),a1)=double_divide(inverse(b1),b1)),
% 0.15/0.48 inference(forward_demodulation,[status(thm)],[f905,f921])).
% 0.15/0.48 fof(f928,plain,(
% 0.15/0.48 $false),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f927,f879])).
% 0.15/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.71/0.53
% 0.71/0.53 % SZS status Unknown for theBenchmark.p: SIGTERM
%------------------------------------------------------------------------------