%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP095-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP095-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n009.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 19:56:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X,Y,Z]: (divide(divide(identity,X),divide(divide(divide(Y,X),Z),Y)) = Z ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X,Y]: (multiply(X,Y) = divide(X,divide(identity,Y)) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X]: (inverse(X) = divide(identity,X) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,axiom,(
% 0.14/0.41 (![X]: (identity = divide(X,X) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,negated_conjecture,(
% 0.14/0.41 ( 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) ) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1))=X2)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.41 fof(f7,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,divide(identity,X1)))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.41 fof(f8,plain,(
% 0.14/0.41 ![X0]: (inverse(X0)=divide(identity,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f9,plain,(
% 0.14/0.41 ![X0]: (identity=divide(X0,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.41 fof(f10,plain,(
% 0.14/0.41 ~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)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.41 fof(f11,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f8,f7])).
% 0.14/0.41 fof(f12,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1))=X2)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.14/0.41 fof(f13,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=inverse(inverse(X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f8,f11])).
% 0.14/0.41 fof(f15,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),multiply(divide(divide(inverse(X1),X0),X2),X1))=X2)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.14/0.41 fof(f16,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),divide(multiply(divide(X1,X0),X2),X1))=inverse(X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.14/0.41 fof(f18,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),divide(divide(inverse(X0),X1),identity))=X1)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f8,f12])).
% 0.14/0.41 fof(f19,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(inverse(X0)),divide(divide(multiply(X1,X0),X2),X1))=X2)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.14/0.41 fof(f21,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),divide(X1,identity))=divide(divide(inverse(X0),X1),identity))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f18,f18])).
% 0.14/0.41 fof(f23,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),divide(multiply(inverse(X0),X1),identity))=inverse(X1))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f11,f18])).
% 0.14/0.41 fof(f25,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),divide(inverse(X0),divide(X1,identity)))=X1)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f21,f18])).
% 0.14/0.41 fof(f30,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),multiply(multiply(divide(inverse(X1),X0),X2),X1))=inverse(X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f11,f15])).
% 0.14/0.41 fof(f31,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),X2),X0)),multiply(divide(X2,X3),X1))=X3)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.14/0.41 fof(f33,plain,(
% 0.14/0.41 ![X0]: (divide(inverse(X0),divide(inverse(X0),inverse(identity)))=identity)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f8,f25])).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 ![X0]: (divide(inverse(X0),multiply(inverse(X0),identity))=identity)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f33])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(multiply(inverse(X0),identity)),multiply(divide(identity,X1),X0))=X1)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f35,f15])).
% 0.14/0.41 fof(f37,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(multiply(inverse(X0),identity)),multiply(inverse(X1),X0))=X1)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f36])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 identity=multiply(inverse(identity),identity)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f35,f37])).
% 0.14/0.41 fof(f73,plain,(
% 0.14/0.41 divide(inverse(identity),divide(identity,identity))=inverse(identity)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f65,f23])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 ![X0]: (divide(inverse(inverse(identity)),divide(divide(identity,X0),inverse(identity)))=X0)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f65,f19])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 divide(inverse(identity),inverse(identity))=inverse(identity)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f73])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 multiply(inverse(identity),identity)=inverse(identity)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f76])).
% 0.14/0.41 fof(f81,plain,(
% 0.14/0.41 identity=inverse(identity)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f65,f77])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 ![X0]: (divide(inverse(identity),divide(divide(identity,X0),inverse(identity)))=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f81,f74])).
% 0.14/0.41 fof(f83,plain,(
% 0.14/0.41 ![X0]: (divide(identity,divide(divide(identity,X0),inverse(identity)))=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f81,f82])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 ![X0]: (inverse(divide(divide(identity,X0),inverse(identity)))=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f83])).
% 0.14/0.41 fof(f85,plain,(
% 0.14/0.41 ![X0]: (inverse(multiply(divide(identity,X0),identity))=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f84])).
% 0.14/0.41 fof(f87,plain,(
% 0.14/0.41 ![X0]: (inverse(multiply(inverse(X0),identity))=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f85])).
% 0.14/0.41 fof(f92,plain,(
% 0.14/0.41 ![X0]: (inverse(multiply(X0,identity))=multiply(inverse(X0),identity))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f87,f87])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,multiply(inverse(X0),identity)),X2),X1))=inverse(X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f87,f16])).
% 0.14/0.41 fof(f99,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(multiply(inverse(X0),identity)),divide(X0,divide(X1,identity)))=X1)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f87,f25])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,multiply(inverse(X1),identity))=divide(X0,X1))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f87,f11])).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 ![X0]: (inverse(inverse(multiply(X0,identity)))=X0)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f92,f87])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,inverse(multiply(X0,identity))),X2),X1))=inverse(X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f92,f96])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(multiply(X1,multiply(X0,identity)),X2),X1))=inverse(X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f112])).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,divide(X0,divide(X1,identity)))=X1)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f87,f99])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,inverse(multiply(X1,identity)))=divide(X0,X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f92,f103])).
% 0.14/0.41 fof(f148,plain,(
% 0.14/0.41 ![X0,X1]: (divide(identity,multiply(divide(divide(inverse(X0),identity),X1),X0))=X1)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f81,f15])).
% 0.14/0.41 fof(f149,plain,(
% 0.14/0.41 ![X0]: (multiply(X0,identity)=divide(X0,identity))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f81,f11])).
% 0.14/0.41 fof(f155,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(divide(divide(inverse(X0),identity),X1),X0))=X1)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f148])).
% 0.14/0.41 fof(f159,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),divide(X1,identity))=multiply(divide(inverse(X0),X1),identity))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f149,f21])).
% 0.14/0.41 fof(f160,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(divide(multiply(inverse(X0),identity),X1),X0))=X1)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f149,f155])).
% 0.14/0.41 fof(f162,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,divide(X0,multiply(X1,identity)))=X1)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f149,f120])).
% 0.14/0.41 fof(f167,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),multiply(X1,identity))=multiply(divide(inverse(X0),X1),identity))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f149,f159])).
% 0.14/0.41 fof(f168,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(divide(inverse(multiply(X0,identity)),X1),X0))=X1)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f92,f160])).
% 0.14/0.41 fof(f211,plain,(
% 0.14/0.41 ![X0,X1]: (divide(identity,multiply(multiply(divide(inverse(X0),identity),X1),X0))=inverse(X1))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f81,f30])).
% 0.14/0.41 fof(f223,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(multiply(divide(inverse(X0),identity),X1),X0))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f211])).
% 0.14/0.41 fof(f224,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(multiply(multiply(inverse(X0),identity),X1),X0))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f149,f223])).
% 0.14/0.41 fof(f225,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(multiply(inverse(multiply(X0,identity)),X1),X0))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f92,f224])).
% 0.14/0.41 fof(f236,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),identity),X0)),multiply(divide(identity,X2),X1))=X2)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f149,f31])).
% 0.14/0.41 fof(f244,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(divide(multiply(inverse(X0),identity),X1),X0)),multiply(divide(X1,X2),identity))=X2)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f149,f31])).
% 0.14/0.41 fof(f247,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),inverse(multiply(divide(divide(inverse(X2),X3),X4),X2))),X0)),multiply(X5,X1))=multiply(divide(X4,X5),X3))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f31,f31])).
% 0.14/0.41 fof(f248,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),inverse(inverse(X2))),X0)),multiply(X3,X1))=divide(divide(multiply(X4,X2),X3),X4))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f19,f31])).
% 0.14/0.41 fof(f249,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),inverse(X2)),X0)),multiply(inverse(X3),X1))=divide(multiply(divide(X4,X2),X3),X4))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f16,f31])).
% 0.14/0.41 fof(f251,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),inverse(X2)),X0)),multiply(X3,X1))=multiply(divide(divide(inverse(X4),X2),X3),X4))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f15,f31])).
% 0.14/0.41 fof(f253,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (divide(inverse(multiply(divide(divide(inverse(X0),X1),X2),X0)),multiply(X3,X1))=divide(X2,multiply(X3,identity)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f162,f31])).
% 0.14/0.41 fof(f261,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),identity),X0)),multiply(inverse(X2),X1))=X2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f236])).
% 0.14/0.41 fof(f263,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(multiply(divide(multiply(inverse(X0),identity),X1),X0)),divide(X1,X2)),identity)=X2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f167,f244])).
% 0.14/0.41 fof(f264,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(multiply(divide(inverse(multiply(X0,identity)),X1),X0)),divide(X1,X2)),identity)=X2)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f92,f263])).
% 0.14/0.41 fof(f266,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(divide(X0,divide(X0,X1)),identity)=X1)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f168,f264])).
% 0.14/0.41 fof(f268,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),multiply(divide(divide(inverse(X2),X3),X4),X2)),X0)),multiply(X5,X1))=multiply(divide(X4,X5),X3))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f247])).
% 0.14/0.41 fof(f269,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),inverse(X2)),X0)),multiply(X3,X1))=divide(divide(multiply(X4,X2),X3),X4))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f248])).
% 0.14/0.41 fof(f270,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),X2),X0)),multiply(inverse(X3),X1))=divide(multiply(divide(X4,X2),X3),X4))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f249])).
% 0.14/0.41 fof(f272,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),X2),X0)),multiply(X3,X1))=multiply(divide(divide(inverse(X4),X2),X3),X4))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f251])).
% 0.14/0.41 fof(f274,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,multiply(divide(X0,X1),identity))=X1)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f253,f31])).
% 0.14/0.41 fof(f283,plain,(
% 0.14/0.41 ![X0]: (identity=multiply(inverse(X0),X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f11,f9])).
% 0.14/0.41 fof(f284,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(inverse(X0)),divide(identity,X1))=multiply(X1,X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f9,f19])).
% 0.14/0.41 fof(f285,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),multiply(identity,X1))=divide(inverse(X1),X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f9,f15])).
% 0.14/0.41 fof(f286,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(multiply(identity,X1),X0))=inverse(X1))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f9,f30])).
% 0.14/0.41 fof(f295,plain,(
% 0.14/0.41 ~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)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f283,f10])).
% 0.14/0.41 fof(f296,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(inverse(X0)),inverse(X1))=multiply(X1,X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f8,f284])).
% 0.14/0.41 fof(f297,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(inverse(inverse(X0)),X1)=multiply(X1,X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f296])).
% 0.14/0.41 fof(f298,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(X0),inverse(inverse(X1)))=divide(inverse(X1),X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f13,f285])).
% 0.14/0.41 fof(f299,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=divide(inverse(X1),X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f298])).
% 0.14/0.41 fof(f300,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(inverse(inverse(X1)),X0))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f13,f286])).
% 0.14/0.41 fof(f301,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(inverse(X0)),multiply(X0,X1))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f297,f300])).
% 0.14/0.41 fof(f307,plain,(
% 0.14/0.41 ~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)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f283,f295])).
% 0.14/0.41 fof(f308,plain,(
% 0.14/0.41 ~identity=identity|~multiply(identity,a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f283,f307])).
% 0.14/0.41 fof(f309,plain,(
% 0.14/0.41 ~identity=identity|~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f13,f308])).
% 0.14/0.41 fof(f310,plain,(
% 0.14/0.41 ~inverse(inverse(a2))=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f309])).
% 0.14/0.41 fof(f312,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(inverse(X0)),multiply(X1,identity))=divide(divide(multiply(X2,X0),X1),X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f19,f274])).
% 0.14/0.41 fof(f313,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),multiply(inverse(X1),identity))=divide(multiply(divide(X2,X0),X1),X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f16,f274])).
% 0.14/0.41 fof(f314,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),multiply(inverse(X1),identity))=multiply(multiply(divide(inverse(X2),X0),X1),X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f30,f274])).
% 0.14/0.41 fof(f315,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(X0),multiply(X1,identity))=multiply(divide(divide(inverse(X2),X0),X1),X2))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f15,f274])).
% 0.14/0.41 fof(f322,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(inverse(X0)),divide(X1,X2))=multiply(divide(multiply(X2,X0),X1),identity))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f274,f19])).
% 0.14/0.41 fof(f333,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),inverse(X2)),X0)),multiply(X3,X1))=multiply(divide(inverse(inverse(X2)),X3),identity))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f337,f269])).
% 0.14/0.41 fof(f337,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(inverse(X0)),X1),identity)=divide(divide(multiply(X2,X0),X1),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f167,f312])).
% 0.14/0.41 fof(f338,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(X0),inverse(X1)),identity)=divide(multiply(divide(X2,X0),X1),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f167,f313])).
% 0.14/0.41 fof(f340,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (divide(inverse(multiply(multiply(divide(inverse(X0),X1),X2),X0)),multiply(inverse(X3),X1))=multiply(multiply(inverse(X2),X3),identity))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f344,f270])).
% 0.14/0.41 fof(f344,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),identity)=divide(multiply(divide(X2,X0),X1),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f338])).
% 0.14/0.41 fof(f345,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(X0),inverse(X1)),identity)=multiply(multiply(divide(inverse(X2),X0),X1),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f167,f314])).
% 0.14/0.41 fof(f347,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (divide(inverse(multiply(multiply(inverse(X0),multiply(divide(divide(inverse(X1),X2),X3),X1)),identity)),multiply(X4,X0))=multiply(divide(X3,X4),X2))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f354,f268])).
% 0.14/0.41 fof(f348,plain,(
% 0.14/0.41 ![X0,X1]: (divide(inverse(multiply(multiply(inverse(X0),identity),identity)),multiply(inverse(X1),X0))=X1)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f354,f261])).
% 0.14/0.41 fof(f349,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (divide(inverse(multiply(multiply(inverse(X0),X1),identity)),multiply(X2,X0))=multiply(divide(divide(inverse(X3),X1),X2),X3))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f354,f272])).
% 0.14/0.41 fof(f354,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(inverse(X0),X1),identity)=multiply(multiply(divide(inverse(X2),X0),X1),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f345])).
% 0.14/0.41 fof(f360,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(X0),X1),identity)=multiply(divide(divide(inverse(X2),X0),X1),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f167,f315])).
% 0.14/0.41 fof(f383,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(multiply(inverse(X0),inverse(X1)),identity)),multiply(X2,X0))=multiply(divide(inverse(inverse(X1)),X2),identity))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f354,f333])).
% 0.14/0.41 fof(f384,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(divide(inverse(X0),X1),identity)),multiply(X2,X1))=multiply(divide(inverse(inverse(X0)),X2),identity))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f299,f383])).
% 0.14/0.41 fof(f386,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(multiply(inverse(X0),X1),identity)),multiply(inverse(X2),X0))=multiply(multiply(inverse(X1),X2),identity))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f354,f340])).
% 0.14/0.41 fof(f388,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (divide(inverse(multiply(multiply(inverse(X0),multiply(divide(inverse(X1),X2),identity)),identity)),multiply(X3,X0))=multiply(divide(X2,X3),X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f360,f347])).
% 0.14/0.41 fof(f389,plain,(
% 0.14/0.41 ![X0]: (multiply(multiply(inverse(identity),X0),identity)=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f386,f348])).
% 0.14/0.41 fof(f390,plain,(
% 0.14/0.41 ![X0]: (multiply(multiply(identity,X0),identity)=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f81,f389])).
% 0.14/0.41 fof(f391,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(inverse(X0)),identity)=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f13,f390])).
% 0.14/0.41 fof(f392,plain,(
% 0.14/0.41 ![X0]: (X0=inverse(inverse(X0)))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f393,f13])).
% 0.14/0.41 fof(f393,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f297,f391])).
% 0.14/0.41 fof(f394,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(inverse(multiply(divide(inverse(X0),X1),identity)),X2),identity)=multiply(divide(X1,X2),X0))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f398,f388])).
% 0.14/0.41 fof(f398,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(multiply(inverse(X0),X1),identity)),multiply(X2,X0))=multiply(divide(inverse(X1),X2),identity))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f360,f349])).
% 0.14/0.41 fof(f410,plain,(
% 0.14/0.41 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f392,f310])).
% 0.14/0.41 fof(f411,plain,(
% 0.14/0.41 ![X0]: (multiply(X0,identity)=X0)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f392,f104])).
% 0.14/0.41 fof(f412,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(divide(inverse(X0),X1),identity)),multiply(X2,X1))=multiply(divide(X0,X2),identity))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f392,f384])).
% 0.14/0.41 fof(f413,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=multiply(divide(multiply(X2,X0),X1),identity))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f392,f322])).
% 0.14/0.41 fof(f417,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,multiply(X0,X1))=inverse(X1))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f392,f301])).
% 0.14/0.41 fof(f418,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f392,f297])).
% 0.14/0.41 fof(f421,plain,(
% 0.14/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))|~multiply(a4,b4)=multiply(b4,a4)),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f410])).
% 0.14/0.41 fof(f431,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(multiply(divide(inverse(X0),X1),identity)),X2)=multiply(divide(X1,X2),X0))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f411,f394])).
% 0.14/0.41 fof(f439,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f411,f266])).
% 0.14/0.41 fof(f442,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(multiply(inverse(X0),X1),X0))=inverse(X1))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f411,f225])).
% 0.14/0.41 fof(f445,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f411,f128])).
% 0.14/0.41 fof(f447,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(multiply(multiply(X1,X0),X2),X1))=inverse(X2))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f411,f113])).
% 0.14/0.41 fof(f448,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(divide(inverse(X0),X1)),multiply(X2,X1))=multiply(divide(X0,X2),identity))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f411,f412])).
% 0.14/0.41 fof(f449,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(divide(inverse(X0),X1)),multiply(X2,X1))=divide(X0,X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f411,f448])).
% 0.14/0.41 fof(f452,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=divide(multiply(X2,X0),X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f411,f413])).
% 0.14/0.41 fof(f455,plain,(
% 0.14/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.14/0.41 inference(backward_subsumption_resolution,[status(thm)],[f421,f418])).
% 0.14/0.41 fof(f460,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(divide(X0,multiply(X1,X0)),X2)=divide(X2,X1))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f461,f449])).
% 0.14/0.41 fof(f461,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(inverse(divide(inverse(X0),X1)),X2)=multiply(divide(X1,X2),X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f411,f431])).
% 0.14/0.41 fof(f475,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(X1,divide(X2,multiply(X2,X0))))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f452,f447])).
% 0.14/0.41 fof(f476,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,divide(X1,inverse(X0)))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f417,f475])).
% 0.14/0.41 fof(f478,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,multiply(X1,X0))=inverse(X1))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f11,f476])).
% 0.14/0.41 fof(f483,plain,(
% 0.14/0.41 ![X0,X1]: (inverse(multiply(divide(X0,X1),X1))=inverse(X0))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f490,f442])).
% 0.14/0.41 fof(f490,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(inverse(X0),X1)=divide(X1,X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f478,f460])).
% 0.14/0.41 fof(f550,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,inverse(X1))=multiply(X1,X0))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f478,f439])).
% 0.14/0.41 fof(f675,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(divide(X0,X1),X1)=inverse(inverse(X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f483,f392])).
% 0.14/0.41 fof(f703,plain,(
% 0.14/0.41 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f392,f675])).
% 0.14/0.41 fof(f722,plain,(
% 0.14/0.41 ![X0,X1]: (divide(X0,X1)=inverse(divide(X1,X0)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f703,f478])).
% 0.14/0.41 fof(f747,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(divide(X0,inverse(X1)),X2)=multiply(divide(X0,X2),X1))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f722,f461])).
% 0.14/0.41 fof(f751,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(X0,divide(X1,X2))=multiply(divide(X0,X1),X2))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f752,f452])).
% 0.14/0.41 fof(f752,plain,(
% 0.14/0.41 ![X0,X1,X2]: (divide(multiply(X0,X1),X2)=multiply(divide(X1,X2),X0))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f550,f747])).
% 0.14/0.41 fof(f795,plain,(
% 0.14/0.41 ~multiply(multiply(b3,a3),c3)=multiply(a3,multiply(b3,c3))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f418,f455])).
% 0.14/0.41 fof(f990,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=divide(X0,divide(X2,X1)))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f722,f445])).
% 0.14/0.41 fof(f1004,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(X0,divide(X1,X2))=multiply(divide(X0,X2),X1))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f990,f751])).
% 0.14/0.41 fof(f1316,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(X0,divide(X1,inverse(X2)))=multiply(multiply(X2,X0),X1))),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f550,f1004])).
% 0.14/0.41 fof(f1350,plain,(
% 0.14/0.41 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.41 inference(backward_demodulation,[status(thm)],[f1358,f795])).
% 0.14/0.41 fof(f1358,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,X0),X2))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f550,f1316])).
% 0.14/0.41 fof(f1386,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(trivial_equality_resolution,[status(thm)],[f1350])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.053372 seconds
% 0.14/0.43 % CPU time: 0.251346 seconds
% 0.14/0.43 % Total memory used: 26.867 MB
% 0.14/0.43 % Net memory used: 26.400 MB
%------------------------------------------------------------------------------