TSTP Solution File: GRP024-5 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP024-5 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:18:48 EDT 2024
% Result : Timeout 299.02s 37.94s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP024-5 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Apr 30 00:21:10 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Drodi V3.6.0
% 299.02/37.94 % Refutation found
% 299.02/37.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 299.02/37.94 % SZS output start CNFRefutation for theBenchmark
% 299.02/37.94 fof(f1,axiom,(
% 299.02/37.94 (![X]: (multiply(identity,X) = X ))),
% 299.02/37.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 299.02/37.94 fof(f2,axiom,(
% 299.02/37.94 (![X]: (multiply(inverse(X),X) = identity ))),
% 299.02/37.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 299.02/37.94 fof(f3,axiom,(
% 299.02/37.94 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 299.02/37.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 299.02/37.94 fof(f4,axiom,(
% 299.02/37.94 (![X,Y]: (commutator(X,Y) = multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) ))),
% 299.02/37.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 299.02/37.94 fof(f5,hypothesis,(
% 299.02/37.94 (![X,Y,Z]: (commutator(commutator(X,Y),Z) = commutator(X,commutator(Y,Z)) ))),
% 299.02/37.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 299.02/37.94 fof(f6,negated_conjecture,(
% 299.02/37.94 multiply(a,commutator(b,c)) != multiply(commutator(b,c),a) ),
% 299.02/37.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 299.02/37.94 fof(f7,plain,(
% 299.02/37.94 ![X0]: (multiply(identity,X0)=X0)),
% 299.02/37.94 inference(cnf_transformation,[status(esa)],[f1])).
% 299.02/37.94 fof(f8,plain,(
% 299.02/37.94 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 299.02/37.94 inference(cnf_transformation,[status(esa)],[f2])).
% 299.02/37.94 fof(f9,plain,(
% 299.02/37.94 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 299.02/37.94 inference(cnf_transformation,[status(esa)],[f3])).
% 299.02/37.94 fof(f10,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,X1)=multiply(inverse(X0),multiply(inverse(X1),multiply(X0,X1))))),
% 299.02/37.94 inference(cnf_transformation,[status(esa)],[f4])).
% 299.02/37.94 fof(f11,plain,(
% 299.02/37.94 ![X0,X1,X2]: (commutator(commutator(X0,X1),X2)=commutator(X0,commutator(X1,X2)))),
% 299.02/37.94 inference(cnf_transformation,[status(esa)],[f5])).
% 299.02/37.94 fof(f12,plain,(
% 299.02/37.94 ~multiply(a,commutator(b,c))=multiply(commutator(b,c),a)),
% 299.02/37.94 inference(cnf_transformation,[status(esa)],[f6])).
% 299.02/37.94 fof(f20,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f8,f9])).
% 299.02/37.94 fof(f21,plain,(
% 299.02/37.94 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f7,f20])).
% 299.02/37.94 fof(f22,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f21,f21])).
% 299.02/37.94 fof(f23,plain,(
% 299.02/37.94 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f8,f21])).
% 299.02/37.94 fof(f24,plain,(
% 299.02/37.94 ![X0]: (X0=multiply(X0,identity))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f22,f23])).
% 299.02/37.94 fof(f36,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(X0,multiply(inverse(X0),X1))=X1)),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f21,f22])).
% 299.02/37.94 fof(f37,plain,(
% 299.02/37.94 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f8,f22])).
% 299.02/37.94 fof(f38,plain,(
% 299.02/37.94 ![X0]: (multiply(X0,identity)=inverse(inverse(X0)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f24,f22])).
% 299.02/37.94 fof(f39,plain,(
% 299.02/37.94 ![X0]: (X0=inverse(inverse(X0)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f24,f38])).
% 299.02/37.94 fof(f69,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=identity)),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f9,f37])).
% 299.02/37.94 fof(f119,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=multiply(inverse(X1),identity))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f69,f21])).
% 299.02/37.94 fof(f120,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f24,f119])).
% 299.02/37.94 fof(f137,plain,(
% 299.02/37.94 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,multiply(X2,X0))))=inverse(multiply(X1,X2)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f9,f120])).
% 299.02/37.94 fof(f138,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),inverse(inverse(X0)))=inverse(X1))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f120,f120])).
% 299.02/37.94 fof(f139,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),X0)=inverse(X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f39,f138])).
% 299.02/37.94 fof(f146,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(X0,inverse(X1))=inverse(multiply(X1,inverse(X0))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f120,f36])).
% 299.02/37.94 fof(f149,plain,(
% 299.02/37.94 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f120,f21])).
% 299.02/37.94 fof(f160,plain,(
% 299.02/37.94 ![X0,X1,X2]: (multiply(X0,inverse(multiply(X1,X2)))=inverse(multiply(X1,multiply(X2,inverse(X0)))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f9,f146])).
% 299.02/37.94 fof(f207,plain,(
% 299.02/37.94 ![X0,X1]: (multiply(inverse(X0),X1)=inverse(multiply(inverse(X1),X0)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f36,f139])).
% 299.02/37.94 fof(f224,plain,(
% 299.02/37.94 ![X0,X1,X2]: (multiply(inverse(X0),X1)=multiply(inverse(multiply(X2,X0)),multiply(X2,X1)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f139,f9])).
% 299.02/37.94 fof(f289,plain,(
% 299.02/37.94 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,X1)),X2)=multiply(X3,multiply(inverse(multiply(X0,multiply(X1,X3))),X2)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f137,f9])).
% 299.02/37.94 fof(f309,plain,(
% 299.02/37.94 ![X0,X1,X2]: (inverse(multiply(multiply(X0,inverse(X1)),X2))=multiply(inverse(X2),multiply(X1,inverse(X0))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f146,f149])).
% 299.02/37.94 fof(f310,plain,(
% 299.02/37.94 ![X0,X1,X2]: (inverse(multiply(X0,multiply(inverse(X1),X2)))=multiply(inverse(X2),multiply(X1,inverse(X0))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f309])).
% 299.02/37.94 fof(f350,plain,(
% 299.02/37.94 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),X2)=multiply(inverse(X1),multiply(inverse(X0),X2)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f149,f9])).
% 299.02/37.94 fof(f351,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,X1)=multiply(inverse(multiply(X1,X0)),multiply(X0,X1)))),
% 299.02/37.94 inference(backward_demodulation,[status(thm)],[f350,f10])).
% 299.02/37.94 fof(f566,plain,(
% 299.02/37.94 ![X0,X1,X2,X3]: (inverse(multiply(X0,multiply(X1,multiply(inverse(X2),X3))))=multiply(inverse(X3),multiply(X2,inverse(multiply(X0,X1)))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f9,f310])).
% 299.02/37.94 fof(f698,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),X1)=multiply(inverse(multiply(X0,multiply(X1,inverse(X0)))),X1))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f350,f351])).
% 299.02/37.94 fof(f699,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),X1)=multiply(multiply(X0,inverse(multiply(X0,X1))),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f160,f698])).
% 299.02/37.94 fof(f700,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),X1)=multiply(X0,multiply(inverse(multiply(X0,X1)),X1)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f699])).
% 299.02/37.94 fof(f701,plain,(
% 299.02/37.94 ![X0]: (commutator(X0,X0)=identity)),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f8,f351])).
% 299.02/37.94 fof(f702,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,inverse(X1))=multiply(multiply(inverse(X0),X1),multiply(X0,inverse(X1))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f207,f351])).
% 299.02/37.94 fof(f703,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,inverse(X1))=multiply(inverse(X0),multiply(X1,multiply(X0,inverse(X1)))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f702])).
% 299.02/37.94 fof(f714,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,inverse(multiply(X0,X1)))=multiply(inverse(inverse(X1)),multiply(X0,inverse(multiply(X0,X1)))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f139,f351])).
% 299.02/37.94 fof(f715,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,inverse(multiply(X0,X1)))=multiply(X1,multiply(X0,inverse(multiply(X0,X1)))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f39,f714])).
% 299.02/37.94 fof(f716,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=multiply(inverse(inverse(multiply(X0,X1))),multiply(inverse(X0),inverse(X1))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f149,f351])).
% 299.02/37.94 fof(f717,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=multiply(inverse(multiply(X0,inverse(multiply(X0,X1)))),inverse(X1)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f350,f716])).
% 299.02/37.94 fof(f718,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=inverse(multiply(X1,multiply(X0,inverse(multiply(X0,X1))))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f149,f717])).
% 299.02/37.94 fof(f719,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=multiply(multiply(X0,X1),inverse(multiply(X1,X0))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f160,f718])).
% 299.02/37.94 fof(f720,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=multiply(X0,multiply(X1,inverse(multiply(X1,X0)))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f719])).
% 299.02/37.94 fof(f721,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=commutator(X1,inverse(multiply(X1,X0))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f715,f720])).
% 299.02/37.94 fof(f727,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(X0,X1),inverse(X0))=multiply(inverse(X1),multiply(multiply(X0,X1),inverse(X0))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f21,f351])).
% 299.02/37.94 fof(f728,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(X0,X1),inverse(X0))=multiply(inverse(X1),multiply(X0,multiply(X1,inverse(X0)))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f727])).
% 299.02/37.94 fof(f729,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(X0,X1),inverse(X0))=commutator(X1,inverse(X0)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f703,f728])).
% 299.02/37.94 fof(f734,plain,(
% 299.02/37.94 ![X0]: (commutator(X0,identity)=multiply(inverse(X0),multiply(X0,identity)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f7,f351])).
% 299.02/37.94 fof(f735,plain,(
% 299.02/37.94 ![X0]: (commutator(X0,identity)=identity)),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f21,f734])).
% 299.02/37.94 fof(f736,plain,(
% 299.02/37.94 ![X0,X1,X2]: (commutator(X0,multiply(X1,X2))=multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X0,multiply(X1,X2))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f9,f351])).
% 299.02/37.94 fof(f742,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X1)=multiply(inverse(inverse(X0)),multiply(inverse(multiply(X0,X1)),X1)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f120,f351])).
% 299.02/37.94 fof(f743,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X1)=multiply(inverse(multiply(multiply(X0,X1),inverse(X0))),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f350,f742])).
% 299.02/37.94 fof(f744,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X1)=multiply(multiply(X0,inverse(multiply(X0,X1))),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f146,f743])).
% 299.02/37.94 fof(f745,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X1)=multiply(X0,multiply(inverse(multiply(X0,X1)),X1)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f744])).
% 299.02/37.94 fof(f746,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X1)=commutator(inverse(X0),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f700,f745])).
% 299.02/37.94 fof(f751,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(inverse(X0),X1),X0)=multiply(inverse(X1),multiply(multiply(inverse(X0),X1),X0)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f36,f351])).
% 299.02/37.94 fof(f752,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(inverse(X0),X1),X0)=multiply(inverse(X1),multiply(inverse(X0),multiply(X1,X0))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f751])).
% 299.02/37.94 fof(f753,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(inverse(X0),X1),X0)=multiply(inverse(multiply(X0,X1)),multiply(X1,X0)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f350,f752])).
% 299.02/37.94 fof(f754,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(multiply(inverse(X0),X1),X0)=commutator(X1,X0))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f351,f753])).
% 299.02/37.94 fof(f755,plain,(
% 299.02/37.94 ![X0]: (commutator(identity,X0)=multiply(inverse(X0),multiply(identity,X0)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f24,f351])).
% 299.02/37.94 fof(f756,plain,(
% 299.02/37.94 ![X0]: (commutator(identity,X0)=multiply(inverse(X0),X0))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f7,f755])).
% 299.02/37.94 fof(f757,plain,(
% 299.02/37.94 ![X0]: (commutator(identity,X0)=identity)),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f8,f756])).
% 299.02/37.94 fof(f762,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X0)=multiply(inverse(multiply(X0,inverse(multiply(X0,X1)))),inverse(X1)))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f139,f351])).
% 299.02/37.94 fof(f763,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X0)=inverse(multiply(X1,multiply(X0,inverse(multiply(X0,X1))))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f149,f762])).
% 299.02/37.94 fof(f764,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X0)=multiply(multiply(X0,X1),inverse(multiply(X1,X0))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f160,f763])).
% 299.02/37.94 fof(f765,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X0)=multiply(X0,multiply(X1,inverse(multiply(X1,X0)))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f764])).
% 299.02/37.94 fof(f766,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X0)=commutator(X1,inverse(multiply(X1,X0))))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f715,f765])).
% 299.02/37.94 fof(f767,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),X0)=commutator(inverse(X0),inverse(X1)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f721,f766])).
% 299.02/37.94 fof(f780,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),multiply(X0,X1))=multiply(inverse(multiply(multiply(X0,X1),inverse(X0))),X1))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f21,f351])).
% 299.02/37.94 fof(f781,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),multiply(X0,X1))=multiply(multiply(X0,inverse(multiply(X0,X1))),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f146,f780])).
% 299.02/37.94 fof(f782,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),multiply(X0,X1))=multiply(X0,multiply(inverse(multiply(X0,X1)),X1)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f781])).
% 299.02/37.94 fof(f783,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(inverse(X0),multiply(X0,X1))=commutator(inverse(X0),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f700,f782])).
% 299.02/37.94 fof(f791,plain,(
% 299.02/37.94 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=multiply(inverse(multiply(X2,multiply(X0,X1))),multiply(X0,multiply(X1,X2))))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f9,f351])).
% 299.02/37.94 fof(f806,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,multiply(inverse(X0),X1))=multiply(inverse(multiply(multiply(inverse(X0),X1),X0)),X1))),
% 299.02/37.94 inference(paramodulation,[status(thm)],[f36,f351])).
% 299.02/37.94 fof(f807,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,multiply(inverse(X0),X1))=multiply(inverse(multiply(inverse(X0),multiply(X1,X0))),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f806])).
% 299.02/37.94 fof(f808,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,multiply(inverse(X0),X1))=multiply(multiply(inverse(multiply(X1,X0)),X0),X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f207,f807])).
% 299.02/37.94 fof(f809,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,multiply(inverse(X0),X1))=multiply(inverse(multiply(X1,X0)),multiply(X0,X1)))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f9,f808])).
% 299.02/37.94 fof(f810,plain,(
% 299.02/37.94 ![X0,X1]: (commutator(X0,multiply(inverse(X0),X1))=commutator(X0,X1))),
% 299.02/37.94 inference(forward_demodulation,[status(thm)],[f351,f809])).
% 299.02/37.94 fof(f817,plain,(
% 299.02/37.94 ![X0,X1,X2]: (inverse(multiply(X0,commutator(X1,X2)))=multiply(inverse(multiply(X1,X2)),multiply(multiply(X2,X1),inverse(X0))))),
% 299.02/37.95 inference(paramodulation,[status(thm)],[f351,f310])).
% 299.02/37.95 fof(f818,plain,(
% 299.02/37.95 ![X0,X1,X2]: (inverse(multiply(X0,commutator(X1,X2)))=multiply(inverse(multiply(X1,X2)),multiply(X2,multiply(X1,inverse(X0)))))),
% 299.02/37.95 inference(forward_demodulation,[status(thm)],[f9,f817])).
% 299.02/37.95 fof(f819,plain,(
% 299.02/37.95 ![X0,X1,X2]: (multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X1,X0))=multiply(inverse(X2),commutator(X1,X0)))),
% 299.02/37.95 inference(paramodulation,[status(thm)],[f351,f350])).
% 299.02/37.95 fof(f820,plain,(
% 299.02/37.95 ![X0,X1,X2]: (multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X1,X0))=multiply(inverse(X2),commutator(X1,X0)))),
% 299.02/37.95 inference(forward_demodulation,[status(thm)],[f9,f819])).
% 299.02/37.95 fof(f821,plain,(
% 299.02/37.95 ![X0,X1]: (multiply(inverse(multiply(X0,X1)),multiply(X1,X0))=inverse(commutator(X0,X1)))),
% 299.02/37.95 inference(paramodulation,[status(thm)],[f351,f207])).
% 299.02/37.95 fof(f822,plain,(
% 299.02/37.95 ![X0,X1]: (commutator(X0,X1)=inverse(commutator(X1,X0)))),
% 299.02/37.95 inference(forward_demodulation,[status(thm)],[f351,f821])).
% 299.02/37.95 fof(f823,plain,(
% 299.02/37.95 ![X0,X1]: (multiply(multiply(X0,X1),commutator(X1,X0))=multiply(X1,X0))),
% 299.02/37.95 inference(paramodulation,[status(thm)],[f351,f36])).
% 299.02/37.95 fof(f824,plain,(
% 299.02/37.95 ![X0,X1]: (multiply(X0,multiply(X1,commutator(X1,X0)))=multiply(X1,X0))),
% 299.02/37.95 inference(forward_demodulation,[status(thm)],[f9,f823])).
% 299.02/37.95 fof(f829,plain,(
% 299.02/37.95 ![X0,X1]: (multiply(X0,inverse(commutator(X1,X0)))=inverse(multiply(inverse(multiply(X0,X1)),X1)))),
% 299.02/37.95 inference(paramodulation,[status(thm)],[f351,f137])).
% 299.02/37.95 fof(f830,plain,(
% 299.02/37.95 ![X0,X1]: (multiply(X0,commutator(X0,X1))=inverse(multiply(inverse(multiply(X0,X1)),X1)))),
% 299.02/37.95 inference(forward_demodulation,[status(thm)],[f822,f829])).
% 299.02/37.95 fof(f831,plain,(
% 299.02/37.95 ![X0,X1]: (multiply(X0,commutator(X0,X1))=multiply(inverse(X1),multiply(X0,X1)))),
% 299.02/37.95 inference(forward_demodulation,[status(thm)],[f207,f830])).
% 299.02/37.95 fof(f846,plain,(
% 299.02/37.95 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(inverse(multiply(X1,X0)),multiply(multiply(X0,X1),X2)))),
% 299.02/37.95 inference(paramodulation,[status(thm)],[f351,f9])).
% 299.43/37.95 fof(f847,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(inverse(multiply(X1,X0)),multiply(X0,multiply(X1,X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f846])).
% 299.43/37.95 fof(f853,plain,(
% 299.43/37.95 ![X0,X1,X2]: (inverse(multiply(X0,commutator(X1,X2)))=multiply(commutator(X2,X1),inverse(X0)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f847,f818])).
% 299.43/37.95 fof(f857,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(identity,X0)=commutator(X1,commutator(X1,X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f701,f11])).
% 299.43/37.95 fof(f858,plain,(
% 299.43/37.95 ![X0,X1]: (identity=commutator(X0,commutator(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f757,f857])).
% 299.43/37.95 fof(f863,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(inverse(X0),multiply(X1,X0))=commutator(X1,multiply(X1,X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f754])).
% 299.43/37.95 fof(f866,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,X1)=commutator(multiply(X1,X0),X1))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f21,f754])).
% 299.43/37.95 fof(f894,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(multiply(X0,X1)))=commutator(inverse(X1),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f866])).
% 299.43/37.95 fof(f895,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=commutator(inverse(X0),inverse(multiply(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f721,f894])).
% 299.43/37.95 fof(f909,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),X2)=commutator(multiply(X1,X0),commutator(X1,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f866,f11])).
% 299.43/37.95 fof(f910,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(X1,X0),commutator(X1,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f909])).
% 299.43/37.95 fof(f921,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),inverse(X1))=commutator(multiply(X0,X1),X0))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f810])).
% 299.43/37.95 fof(f922,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),inverse(X1))=commutator(X1,X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f866,f921])).
% 299.43/37.95 fof(f925,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,X1)=commutator(X0,multiply(X0,X1)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f21,f810])).
% 299.43/37.95 fof(f957,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(inverse(X0),multiply(X1,X0))=commutator(X1,X0))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f925,f863])).
% 299.43/37.95 fof(f971,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X0,X1),multiply(X0,multiply(X1,X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f9,f925])).
% 299.43/37.95 fof(f972,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,inverse(multiply(X1,multiply(X2,X0))))=commutator(X0,inverse(multiply(X1,X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f137,f925])).
% 299.43/37.95 fof(f982,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),X2)=commutator(X0,commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f925,f11])).
% 299.43/37.95 fof(f983,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f982])).
% 299.43/37.95 fof(f1004,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),inverse(X2))=commutator(X2,multiply(X0,X1)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f9,f922])).
% 299.43/37.95 fof(f1040,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,inverse(X0)))=commutator(X1,inverse(X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f39,f957])).
% 299.43/37.95 fof(f1071,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),X2)=commutator(inverse(X1),commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f957,f11])).
% 299.43/37.95 fof(f1072,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(inverse(X1),commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f1071])).
% 299.43/37.95 fof(f1141,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(X0),inverse(multiply(X1,X2)))=commutator(inverse(X0),inverse(multiply(X1,multiply(X2,X0)))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f137,f783])).
% 299.43/37.95 fof(f1231,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(inverse(X1),X2))=multiply(multiply(inverse(multiply(X2,X0)),X1),multiply(X0,multiply(inverse(X1),X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f207,f736])).
% 299.43/37.95 fof(f1232,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(inverse(X1),X2))=multiply(inverse(multiply(X2,X0)),multiply(X1,multiply(X0,multiply(inverse(X1),X2)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1231])).
% 299.43/37.95 fof(f1300,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,inverse(X0)))=multiply(inverse(multiply(X2,X1)),multiply(multiply(X0,X1),multiply(X2,inverse(X0)))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f21,f736])).
% 299.43/37.95 fof(f1301,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,inverse(X0)))=multiply(inverse(multiply(X2,X1)),multiply(X0,multiply(X1,multiply(X2,inverse(X0))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1300])).
% 299.43/37.95 fof(f1326,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(X0),X1),multiply(X2,X0))=multiply(inverse(multiply(X2,X1)),multiply(multiply(inverse(X0),X1),multiply(X2,X0))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f36,f736])).
% 299.43/37.95 fof(f1327,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(X0),X1),multiply(X2,X0))=multiply(inverse(multiply(X2,X1)),multiply(inverse(X0),multiply(X1,multiply(X2,X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1326])).
% 299.43/37.95 fof(f1328,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(X0),X1),multiply(X2,X0))=multiply(inverse(multiply(X0,multiply(X2,X1))),multiply(X1,multiply(X2,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f350,f1327])).
% 299.43/37.95 fof(f1367,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(multiply(X0,X1),multiply(X2,X3))=multiply(inverse(multiply(X2,multiply(X3,multiply(X0,X1)))),multiply(X0,multiply(X1,multiply(X2,X3)))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f9,f736])).
% 299.43/37.95 fof(f1477,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(commutator(X2,multiply(X0,X1))))=inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f736,f137])).
% 299.43/37.95 fof(f1478,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(X1,inverse(commutator(X2,multiply(X0,X1)))))=inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1477])).
% 299.43/37.95 fof(f1479,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2)))=inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f822,f1478])).
% 299.43/37.95 fof(f1480,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2)))=multiply(inverse(X2),multiply(X0,multiply(X1,X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f207,f1479])).
% 299.43/37.95 fof(f1528,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(X0,multiply(X1,X2)),X3)=multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(multiply(X0,multiply(X1,X2)),X3)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f736,f9])).
% 299.43/37.95 fof(f1529,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(X0,multiply(X1,X2)),X3)=multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X0,multiply(multiply(X1,X2),X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1528])).
% 299.43/37.95 fof(f1530,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(X0,multiply(X1,X2)),X3)=multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X0,multiply(X1,multiply(X2,X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1529])).
% 299.43/37.95 fof(f1541,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(commutator(X0,X1),inverse(inverse(multiply(X1,X0))))=commutator(multiply(X0,X1),inverse(inverse(multiply(X1,X0)))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f351,f729])).
% 299.43/37.95 fof(f1542,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,inverse(inverse(multiply(X1,X0)))))=commutator(multiply(X0,X1),inverse(inverse(multiply(X1,X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f1541])).
% 299.43/37.95 fof(f1543,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,multiply(X1,X0)))=commutator(multiply(X0,X1),inverse(inverse(multiply(X1,X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f39,f1542])).
% 299.43/37.95 fof(f1544,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,X0))=commutator(multiply(X0,X1),inverse(inverse(multiply(X1,X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f925,f1543])).
% 299.43/37.95 fof(f1545,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,X0))=commutator(multiply(X0,X1),multiply(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f39,f1544])).
% 299.43/37.95 fof(f1786,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,inverse(X0)))=commutator(X0,multiply(X1,commutator(X1,inverse(X0)))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f810])).
% 299.43/37.95 fof(f1787,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(X1,multiply(X0,commutator(X0,inverse(X1)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1040,f1786])).
% 299.43/37.95 fof(f1804,plain,(
% 299.43/37.95 ![X0,X1]: (inverse(multiply(inverse(X0),X1))=multiply(inverse(commutator(inverse(X0),X1)),multiply(X0,inverse(X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f310])).
% 299.43/37.95 fof(f1805,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(inverse(commutator(inverse(X1),X0)),multiply(X1,inverse(X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f207,f1804])).
% 299.43/37.95 fof(f1806,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(commutator(X0,inverse(X1)),multiply(X1,inverse(X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f822,f1805])).
% 299.43/37.95 fof(f1815,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),inverse(X1))=commutator(multiply(X0,commutator(X0,X1)),inverse(X1)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f729])).
% 299.43/37.95 fof(f1816,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,X1)=commutator(multiply(X1,commutator(X1,X0)),inverse(X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f922,f1815])).
% 299.43/37.95 fof(f1830,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,commutator(X1,X0)))=commutator(X0,multiply(X1,X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f925])).
% 299.43/37.95 fof(f1831,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,commutator(X0,X1)),X1)=commutator(multiply(X0,X1),X1))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f866])).
% 299.43/37.95 fof(f1832,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,commutator(X1,X0)))=multiply(inverse(multiply(multiply(X1,commutator(X1,X0)),X0)),multiply(X1,X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f351])).
% 299.43/37.95 fof(f1833,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=multiply(inverse(multiply(multiply(X1,commutator(X1,X0)),X0)),multiply(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1830,f1832])).
% 299.43/37.95 fof(f1834,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=multiply(inverse(multiply(X1,multiply(commutator(X1,X0),X0))),multiply(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1833])).
% 299.43/37.95 fof(f1835,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=multiply(inverse(multiply(commutator(X1,X0),X0)),X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f224,f1834])).
% 299.43/37.95 fof(f1848,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f9])).
% 299.43/37.95 fof(f1849,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1848])).
% 299.43/37.95 fof(f1850,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f1849])).
% 299.43/37.95 fof(f1955,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),X2)=commutator(multiply(X1,commutator(X1,X0)),commutator(inverse(X0),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f1816,f11])).
% 299.43/37.95 fof(f1956,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(X1,commutator(X1,X0)),commutator(inverse(X0),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f1955])).
% 299.43/37.95 fof(f2769,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(multiply(X0,X1),X1),X2)=commutator(multiply(X0,commutator(X0,X1)),commutator(X1,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f1831,f11])).
% 299.43/37.95 fof(f2770,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),commutator(X1,X2))=commutator(multiply(X0,commutator(X0,X1)),commutator(X1,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f2769])).
% 299.43/37.95 fof(f2901,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),multiply(X1,X0))=commutator(multiply(multiply(X1,X0),commutator(X1,commutator(X0,X1))),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f1545,f1816])).
% 299.43/37.95 fof(f2902,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,X0))=commutator(multiply(multiply(X1,X0),commutator(X1,commutator(X0,X1))),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1545,f2901])).
% 299.43/37.95 fof(f2903,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,X0))=commutator(multiply(X1,multiply(X0,commutator(X1,commutator(X0,X1)))),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f2902])).
% 299.43/37.95 fof(f2921,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(commutator(X0,X1),inverse(X1)))=commutator(X0,commutator(X1,X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f1816,f983])).
% 299.43/37.95 fof(f2922,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X0,commutator(X1,inverse(X1))))=commutator(X0,commutator(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f2921])).
% 299.43/37.95 fof(f2923,plain,(
% 299.43/37.95 ![X0,X1]: (identity=commutator(X0,commutator(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f858,f2922])).
% 299.43/37.95 fof(f2964,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(multiply(X0,X1)),commutator(X0,X2))=commutator(inverse(multiply(X0,X1)),commutator(inverse(X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f983])).
% 299.43/37.95 fof(f2965,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(X0),commutator(inverse(X1),X2))=commutator(inverse(X0),commutator(inverse(multiply(X1,X0)),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f149,f983])).
% 299.43/37.95 fof(f2981,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(multiply(X1,commutator(X1,X0)),X2))=commutator(X0,commutator(multiply(X1,X0),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f983])).
% 299.43/37.95 fof(f3045,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,commutator(X1,X0))=commutator(multiply(X1,multiply(X0,identity)),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f2923,f2903])).
% 299.43/37.95 fof(f3046,plain,(
% 299.43/37.95 ![X0,X1]: (identity=commutator(multiply(X0,multiply(X1,identity)),inverse(multiply(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f2923,f3045])).
% 299.43/37.95 fof(f3047,plain,(
% 299.43/37.95 ![X0,X1]: (identity=commutator(multiply(X0,X1),inverse(multiply(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f24,f3046])).
% 299.43/37.95 fof(f3163,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,inverse(commutator(X1,X2)))=commutator(X1,commutator(X2,multiply(X0,commutator(X0,inverse(commutator(X1,X2)))))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f11,f1787])).
% 299.43/37.95 fof(f3164,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X2,commutator(X1,multiply(X0,commutator(X0,inverse(commutator(X2,X1)))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f822,f3163])).
% 299.43/37.95 fof(f3165,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X2,commutator(X1,multiply(X0,commutator(X0,commutator(X1,X2))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f822,f3164])).
% 299.43/37.95 fof(f3385,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(inverse(multiply(X0,X1)),X2))=commutator(inverse(X1),commutator(inverse(multiply(X0,X1)),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f910])).
% 299.43/37.95 fof(f3386,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(inverse(multiply(X0,X1)),X2))=commutator(inverse(X1),commutator(inverse(X0),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f2965,f3385])).
% 299.43/37.95 fof(f3387,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(X0),commutator(inverse(X1),X2))=commutator(inverse(multiply(X0,X1)),commutator(inverse(X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f149,f910])).
% 299.43/37.95 fof(f3509,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(multiply(X0,X1)),commutator(X0,X2))=commutator(inverse(X0),commutator(inverse(X1),X2)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f3387,f2964])).
% 299.43/37.95 fof(f3566,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(multiply(X0,X1),X2)))=commutator(X0,identity))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f858,f983])).
% 299.43/37.95 fof(f3567,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(multiply(X0,X1),X2)))=identity)),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f735,f3566])).
% 299.43/37.95 fof(f3584,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X0,identity))=multiply(X0,commutator(X0,X1)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f858,f824])).
% 299.43/37.95 fof(f3585,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),X0)=multiply(X0,commutator(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f24,f3584])).
% 299.43/37.95 fof(f3594,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),inverse(X1))=multiply(inverse(X1),commutator(inverse(X1),multiply(X0,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f957,f3585])).
% 299.43/37.95 fof(f3595,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),inverse(X1))=multiply(inverse(X1),commutator(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f957,f3594])).
% 299.43/37.95 fof(f3614,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=multiply(multiply(X1,commutator(X1,X0)),commutator(multiply(X1,commutator(X1,X0)),inverse(X0))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f1816,f3585])).
% 299.43/37.95 fof(f3615,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=multiply(X1,multiply(commutator(X1,X0),commutator(multiply(X1,commutator(X1,X0)),inverse(X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3614])).
% 299.43/37.95 fof(f3616,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=multiply(inverse(inverse(X0)),multiply(X1,multiply(commutator(X1,X0),inverse(X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1480,f3615])).
% 299.43/37.95 fof(f3617,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=multiply(X0,multiply(X1,multiply(commutator(X1,X0),inverse(X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f39,f3616])).
% 299.43/37.95 fof(f3618,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=multiply(X1,multiply(X0,inverse(X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1850,f3617])).
% 299.43/37.95 fof(f3619,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=multiply(X1,identity))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f37,f3618])).
% 299.43/37.95 fof(f3620,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0)))=X1)),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f24,f3619])).
% 299.43/37.95 fof(f3668,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,inverse(X1)),X1)=multiply(X1,commutator(X1,multiply(X0,commutator(X0,inverse(X1))))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f1787,f3585])).
% 299.43/37.95 fof(f3669,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,inverse(X1)),X1)=multiply(X1,commutator(X0,inverse(X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1787,f3668])).
% 299.43/37.95 fof(f3727,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),commutator(X0,X2))=commutator(commutator(X0,X1),commutator(multiply(X0,commutator(X0,X1)),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f3585,f983])).
% 299.43/37.95 fof(f3728,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(X0,X2)))=commutator(commutator(X0,X1),commutator(multiply(X0,commutator(X0,X1)),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f3727])).
% 299.43/37.95 fof(f3729,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(X0,X2)))=commutator(X0,commutator(X1,commutator(multiply(X0,commutator(X0,X1)),X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f3728])).
% 299.43/37.95 fof(f3730,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(X0,X2)))=commutator(X0,commutator(X1,commutator(multiply(X0,X1),X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f2981,f3729])).
% 299.43/37.95 fof(f3731,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(X0,X2)))=identity)),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3567,f3730])).
% 299.43/37.95 fof(f3791,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(multiply(X0,commutator(X0,X1)),X2)=multiply(commutator(X0,X1),multiply(X0,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f3585,f9])).
% 299.43/37.95 fof(f3792,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(commutator(X0,X1),X2))=multiply(commutator(X0,X1),multiply(X0,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3791])).
% 299.43/37.95 fof(f3927,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(multiply(multiply(X0,X1),X2),X3)=multiply(inverse(multiply(X3,multiply(X0,multiply(X1,X2)))),multiply(multiply(X0,X1),multiply(X2,X3))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f9,f791])).
% 299.43/37.95 fof(f3928,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),X3)=multiply(inverse(multiply(X3,multiply(X0,multiply(X1,X2)))),multiply(multiply(X0,X1),multiply(X2,X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3927])).
% 299.43/37.95 fof(f3929,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),X3)=multiply(inverse(multiply(X3,multiply(X0,multiply(X1,X2)))),multiply(X0,multiply(X1,multiply(X2,X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3928])).
% 299.43/37.95 fof(f3963,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(X0,multiply(X1,X2))),X1),multiply(X2,X0))=multiply(inverse(multiply(multiply(X2,X0),multiply(inverse(multiply(X0,multiply(X1,X2))),X1))),commutator(multiply(X1,X2),X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f791,f791])).
% 299.43/37.95 fof(f3964,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(X0,multiply(X1,X2))),X1),multiply(X2,X0))=multiply(multiply(inverse(X1),multiply(multiply(X0,multiply(X1,X2)),inverse(multiply(X2,X0)))),commutator(multiply(X1,X2),X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f310,f3963])).
% 299.43/37.95 fof(f3965,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(X0,multiply(X1,X2))),X1),multiply(X2,X0))=multiply(inverse(X1),multiply(multiply(multiply(X0,multiply(X1,X2)),inverse(multiply(X2,X0))),commutator(multiply(X1,X2),X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3964])).
% 299.43/37.95 fof(f3966,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(X0,multiply(X1,X2))),X1),multiply(X2,X0))=multiply(inverse(X1),multiply(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X2,X0)),commutator(multiply(X1,X2),X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3965])).
% 299.43/37.95 fof(f3967,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(X0,multiply(X1,X2))),X1),multiply(X2,X0))=multiply(inverse(X1),multiply(X0,multiply(multiply(X1,X2),multiply(inverse(multiply(X2,X0)),commutator(multiply(X1,X2),X0))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3966])).
% 299.43/37.95 fof(f3968,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(X0,multiply(X1,X2))),X1),multiply(X2,X0))=multiply(inverse(X1),multiply(X0,multiply(X1,multiply(X2,multiply(inverse(multiply(X2,X0)),commutator(multiply(X1,X2),X0)))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f3967])).
% 299.43/37.95 fof(f4039,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,inverse(multiply(X1,X2))),multiply(X2,X1))=multiply(inverse(multiply(multiply(X2,X1),multiply(X0,inverse(multiply(X1,X2))))),multiply(X0,commutator(X2,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f351,f791])).
% 299.43/37.95 fof(f4040,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,inverse(multiply(X1,X2))),multiply(X2,X1))=multiply(multiply(multiply(X1,X2),inverse(multiply(multiply(X2,X1),X0))),multiply(X0,commutator(X2,X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f160,f4039])).
% 299.43/37.95 fof(f4041,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,inverse(multiply(X1,X2))),multiply(X2,X1))=multiply(multiply(X1,X2),multiply(inverse(multiply(multiply(X2,X1),X0)),multiply(X0,commutator(X2,X1)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4040])).
% 299.43/37.95 fof(f4042,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,inverse(multiply(X1,X2))),multiply(X2,X1))=multiply(X1,multiply(X2,multiply(inverse(multiply(multiply(X2,X1),X0)),multiply(X0,commutator(X2,X1))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4041])).
% 299.43/37.95 fof(f4043,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,inverse(multiply(X1,X2))),multiply(X2,X1))=multiply(X1,multiply(X2,multiply(inverse(multiply(X2,multiply(X1,X0))),multiply(X0,commutator(X2,X1))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4042])).
% 299.43/37.95 fof(f4081,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X0,X1))),multiply(X0,inverse(X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f120,f791])).
% 299.43/37.95 fof(f4082,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(multiply(inverse(multiply(X0,X1)),multiply(X2,X1)),multiply(X0,inverse(X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f207,f4081])).
% 299.43/37.95 fof(f4083,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(inverse(multiply(X0,X1)),multiply(multiply(X2,X1),multiply(X0,inverse(X2)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4082])).
% 299.43/37.95 fof(f4084,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(multiply(X2,X1)))=multiply(inverse(multiply(X0,X1)),multiply(X2,multiply(X1,multiply(X0,inverse(X2))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4083])).
% 299.43/37.95 fof(f4085,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(multiply(X2,X1)))=commutator(multiply(X2,X1),multiply(X0,inverse(X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1301,f4084])).
% 299.43/37.95 fof(f4234,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(multiply(X2,multiply(X0,X1))),multiply(multiply(X0,multiply(X1,X2)),X3)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f791,f9])).
% 299.43/37.95 fof(f4235,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(multiply(X2,multiply(X0,X1))),multiply(X0,multiply(multiply(X1,X2),X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4234])).
% 299.43/37.95 fof(f4236,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(multiply(X2,multiply(X0,X1))),multiply(X0,multiply(X1,multiply(X2,X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4235])).
% 299.43/37.95 fof(f4285,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(commutator(multiply(X0,X1),inverse(multiply(X1,X0))),X2)=multiply(inverse(commutator(X0,X1)),multiply(multiply(X0,X1),multiply(inverse(multiply(X1,X0)),X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f351,f847])).
% 299.43/37.95 fof(f4286,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(identity,X0)=multiply(inverse(commutator(X1,X2)),multiply(multiply(X1,X2),multiply(inverse(multiply(X2,X1)),X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3047,f4285])).
% 299.43/37.95 fof(f4287,plain,(
% 299.43/37.95 ![X0,X1,X2]: (X0=multiply(inverse(commutator(X1,X2)),multiply(multiply(X1,X2),multiply(inverse(multiply(X2,X1)),X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f7,f4286])).
% 299.43/37.95 fof(f4288,plain,(
% 299.43/37.95 ![X0,X1,X2]: (X0=multiply(commutator(X1,X2),multiply(multiply(X2,X1),multiply(inverse(multiply(X1,X2)),X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f822,f4287])).
% 299.43/37.95 fof(f4289,plain,(
% 299.43/37.95 ![X0,X1,X2]: (X0=multiply(commutator(X1,X2),multiply(X2,multiply(X1,multiply(inverse(multiply(X1,X2)),X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4288])).
% 299.43/37.95 fof(f4290,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(commutator(X0,inverse(multiply(X0,X1))),X2)=multiply(inverse(inverse(X1)),multiply(X0,multiply(inverse(multiply(X0,X1)),X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f847])).
% 299.43/37.95 fof(f4291,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(commutator(inverse(X0),inverse(X1)),X2)=multiply(inverse(inverse(X0)),multiply(X1,multiply(inverse(multiply(X1,X0)),X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f721,f4290])).
% 299.43/37.95 fof(f4292,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(commutator(inverse(X0),inverse(X1)),X2)=multiply(X0,multiply(X1,multiply(inverse(multiply(X1,X0)),X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f39,f4291])).
% 299.43/37.95 fof(f4395,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(inverse(multiply(X0,X1)),X0),X1)=multiply(inverse(multiply(X0,inverse(multiply(X0,X1)))),identity))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f8,f847])).
% 299.43/37.95 fof(f4396,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(inverse(X0),inverse(X1)),X1)=multiply(inverse(multiply(X0,inverse(multiply(X0,X1)))),identity))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f767,f4395])).
% 299.43/37.95 fof(f4397,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(X0,commutator(inverse(X1),inverse(X0)))=multiply(inverse(multiply(X1,inverse(multiply(X1,X0)))),identity))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3669,f4396])).
% 299.43/37.95 fof(f4398,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(X0,commutator(inverse(X1),inverse(X0)))=inverse(multiply(X1,inverse(multiply(X1,X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f24,f4397])).
% 299.43/37.95 fof(f4399,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(X0,commutator(inverse(X1),inverse(X0)))=multiply(multiply(X1,X0),inverse(X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f146,f4398])).
% 299.43/37.95 fof(f4400,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(X0,commutator(inverse(X1),inverse(X0)))=multiply(X1,multiply(X0,inverse(X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4399])).
% 299.43/37.95 fof(f4412,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),commutator(X1,X0))=multiply(inverse(multiply(X1,X0)),multiply(X1,X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f824,f847])).
% 299.43/37.95 fof(f4413,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),commutator(X1,X0))=identity)),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f8,f4412])).
% 299.43/37.95 fof(f4473,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(commutator(X1,X0),X2))=commutator(multiply(X0,X1),multiply(X1,multiply(X0,X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f847,f810])).
% 299.43/37.95 fof(f4477,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X1,multiply(X0,X3)))=multiply(inverse(X2),multiply(commutator(X1,X0),X3)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f847,f350])).
% 299.43/37.95 fof(f4478,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X1,multiply(X0,X3)))=multiply(inverse(X2),multiply(commutator(X1,X0),X3)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4477])).
% 299.43/37.95 fof(f4479,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X1,X0))=inverse(multiply(commutator(X0,X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f847,f207])).
% 299.43/37.95 fof(f4480,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(inverse(X0),commutator(X1,X2))=inverse(multiply(commutator(X2,X1),X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f820,f4479])).
% 299.43/37.95 fof(f4499,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=multiply(inverse(multiply(commutator(X2,X0),X1)),multiply(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f847,f736])).
% 299.43/37.95 fof(f4500,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=multiply(multiply(inverse(X1),commutator(X0,X2)),multiply(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4480,f4499])).
% 299.43/37.95 fof(f4501,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=multiply(inverse(X1),multiply(commutator(X0,X2),multiply(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4500])).
% 299.43/37.95 fof(f4502,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=multiply(inverse(X1),multiply(commutator(X0,X2),multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X2)),X2))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4501])).
% 299.43/37.95 fof(f4503,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(multiply(X0,X2)),X2))=multiply(inverse(X1),multiply(X0,multiply(commutator(X0,X2),multiply(X1,multiply(inverse(multiply(X0,X2)),X2))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3792,f4502])).
% 299.43/37.95 fof(f4527,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(inverse(multiply(X1,X2)),multiply(X2,multiply(X1,X3))))=multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(multiply(X2,multiply(X1,X3)),X0))),multiply(X0,multiply(commutator(X2,X1),X3))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f847,f736])).
% 299.43/37.95 fof(f4528,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(multiply(X1,multiply(X2,X3)),X0))),multiply(X0,multiply(commutator(X1,X2),X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f847,f4527])).
% 299.43/37.95 fof(f4529,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(multiply(inverse(multiply(multiply(X1,multiply(X2,X3)),X0)),multiply(X2,X1)),multiply(X0,multiply(commutator(X1,X2),X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f207,f4528])).
% 299.43/37.95 fof(f4530,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(inverse(multiply(multiply(X1,multiply(X2,X3)),X0)),multiply(multiply(X2,X1),multiply(X0,multiply(commutator(X1,X2),X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4529])).
% 299.43/37.95 fof(f4531,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(inverse(multiply(X1,multiply(multiply(X2,X3),X0))),multiply(multiply(X2,X1),multiply(X0,multiply(commutator(X1,X2),X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4530])).
% 299.43/37.95 fof(f4532,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(inverse(multiply(X1,multiply(X2,multiply(X3,X0)))),multiply(multiply(X2,X1),multiply(X0,multiply(commutator(X1,X2),X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4531])).
% 299.43/37.95 fof(f4533,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(inverse(multiply(X1,multiply(X2,multiply(X3,X0)))),multiply(X2,multiply(X1,multiply(X0,multiply(commutator(X1,X2),X3))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4532])).
% 299.43/37.95 fof(f4534,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,X2),X3))=multiply(inverse(multiply(X3,X0)),multiply(commutator(X2,X1),multiply(X0,multiply(commutator(X1,X2),X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4478,f4533])).
% 299.43/37.95 fof(f4587,plain,(
% 299.43/37.95 ![X0,X1,X2]: (X0=multiply(commutator(X1,X2),multiply(commutator(inverse(X2),inverse(X1)),X0)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4292,f4289])).
% 299.43/37.95 fof(f4611,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=multiply(multiply(inverse(X0),commutator(X0,X1)),X0))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4480,f1835])).
% 299.43/37.95 fof(f4612,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=multiply(inverse(X0),multiply(commutator(X0,X1),X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f4611])).
% 299.43/37.95 fof(f4613,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=multiply(inverse(X0),multiply(X0,commutator(X0,X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3585,f4612])).
% 299.43/37.95 fof(f4614,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,X0))=commutator(X0,X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f21,f4613])).
% 299.43/37.95 fof(f4646,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(X0,inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f139,f4614])).
% 299.43/37.95 fof(f4647,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(inverse(X1),inverse(X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f721,f4646])).
% 299.43/37.95 fof(f4652,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),X1)=commutator(multiply(X0,X1),inverse(X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f21,f4614])).
% 299.43/37.95 fof(f4653,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),X1)=commutator(X1,inverse(X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f729,f4652])).
% 299.43/37.95 fof(f4658,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,X0)))=commutator(X0,multiply(X1,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f9,f4614])).
% 299.43/37.95 fof(f4662,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(inverse(multiply(X0,X1)),inverse(X0))=commutator(inverse(multiply(X0,X1)),X1))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f120,f4614])).
% 299.43/37.95 fof(f4663,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(multiply(X0,X1)))=commutator(inverse(multiply(X0,X1)),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4647,f4662])).
% 299.43/37.95 fof(f4664,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=commutator(inverse(multiply(X1,X0)),X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f721,f4663])).
% 299.43/37.95 fof(f4665,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(inverse(multiply(X0,X1)),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4647,f4664])).
% 299.43/37.95 fof(f4666,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(inverse(X0),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f746,f4665])).
% 299.43/37.95 fof(f4679,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X2,multiply(X0,X1))))=commutator(X0,commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4614,f983])).
% 299.43/37.95 fof(f4680,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X2,X0)))=commutator(X0,commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4658,f4679])).
% 299.43/37.95 fof(f4681,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X2,X0)))=commutator(X0,commutator(X1,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f983,f4680])).
% 299.43/37.95 fof(f4695,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),X1)=commutator(multiply(X1,commutator(X1,X0)),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4614,f1816])).
% 299.43/37.95 fof(f4696,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(multiply(X0,commutator(X0,X1)),inverse(multiply(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4653,f4695])).
% 299.43/37.95 fof(f4699,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),X2)=commutator(X0,commutator(multiply(X1,X0),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4614,f11])).
% 299.43/37.95 fof(f4700,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,commutator(multiply(X1,X0),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4699])).
% 299.43/37.95 fof(f4707,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(X0),inverse(multiply(X1,X2)))=commutator(multiply(X1,multiply(X2,X0)),inverse(X0)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4647,f1141])).
% 299.43/37.95 fof(f4708,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(X2))=commutator(multiply(X0,multiply(X1,X2)),inverse(X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4647,f4707])).
% 299.43/37.95 fof(f4709,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(X2))=commutator(X2,multiply(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f1004,f4708])).
% 299.43/37.95 fof(f4718,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(inverse(X0),inverse(X1))=commutator(multiply(X1,X0),inverse(X0)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4647,f895])).
% 299.43/37.95 fof(f4719,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(multiply(X0,X1),inverse(X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4647,f4718])).
% 299.43/37.95 fof(f4720,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(X1,X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f922,f4719])).
% 299.43/37.95 fof(f4721,plain,(
% 299.43/37.95 ![X0,X1,X2]: (X0=multiply(commutator(X1,X2),multiply(commutator(X1,inverse(X2)),X0)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4647,f4587])).
% 299.43/37.95 fof(f4722,plain,(
% 299.43/37.95 ![X0,X1,X2]: (X0=multiply(commutator(X1,X2),multiply(commutator(X2,X1),X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4721])).
% 299.43/37.95 fof(f4725,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(X0,commutator(X0,inverse(X1)))=multiply(X1,multiply(X0,inverse(X1))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4647,f4400])).
% 299.43/37.95 fof(f4726,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(X0,commutator(X1,X0))=multiply(X1,multiply(X0,inverse(X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4725])).
% 299.43/37.95 fof(f4879,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(commutator(X0,X2)))=commutator(inverse(X0),commutator(inverse(X1),X2)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4666,f3509])).
% 299.43/37.95 fof(f4880,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),multiply(X0,X2))=commutator(inverse(X0),commutator(inverse(X2),X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4709,f4879])).
% 299.43/37.95 fof(f4881,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(inverse(X0),commutator(inverse(X2),X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4880])).
% 299.43/37.95 fof(f4882,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(X0,inverse(commutator(inverse(X2),X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4666,f4881])).
% 299.43/37.95 fof(f4883,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(commutator(inverse(X2),X1),X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4882])).
% 299.43/37.95 fof(f4884,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(inverse(X2),commutator(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4883])).
% 299.43/37.95 fof(f4885,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(X2,inverse(commutator(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4666,f4884])).
% 299.43/37.95 fof(f4886,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(commutator(X1,X0),X2))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4885])).
% 299.43/37.95 fof(f4887,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(X1,commutator(X0,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4886])).
% 299.43/37.95 fof(f4930,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(multiply(X0,X1),inverse(X2)))=commutator(inverse(X1),commutator(inverse(X0),X2)))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4666,f3386])).
% 299.43/37.95 fof(f4931,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,inverse(X2)))=commutator(inverse(X1),commutator(inverse(X0),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f983,f4930])).
% 299.43/37.95 fof(f4932,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(inverse(X2),commutator(inverse(X0),X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4931])).
% 299.43/37.95 fof(f4933,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X2,inverse(commutator(inverse(X0),X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4666,f4932])).
% 299.43/37.95 fof(f4934,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(commutator(inverse(X0),X1),X2))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4933])).
% 299.43/37.95 fof(f4935,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(inverse(X0),commutator(X1,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4934])).
% 299.43/37.95 fof(f4936,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,inverse(commutator(X1,X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4666,f4935])).
% 299.43/37.95 fof(f4937,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(commutator(X1,X2),X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4936])).
% 299.43/37.95 fof(f4938,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X1,commutator(X2,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4937])).
% 299.43/37.95 fof(f4977,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X1,inverse(commutator(multiply(X0,X1),X2))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4666,f1072])).
% 299.43/37.95 fof(f4978,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(commutator(multiply(X0,X1),X2),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f4977])).
% 299.43/37.95 fof(f4979,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(X0,X1),commutator(X2,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f4978])).
% 299.43/37.95 fof(f4980,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X1,commutator(multiply(X0,X1),X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4938,f4979])).
% 299.43/37.95 fof(f4981,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X1,commutator(X0,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4700,f4980])).
% 299.43/37.95 fof(f5090,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(X1,commutator(X1,X0)),commutator(X0,inverse(X2))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4666,f1956])).
% 299.43/37.95 fof(f5091,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(X1,X0),commutator(X0,inverse(X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f2770,f5090])).
% 299.43/37.95 fof(f5092,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,commutator(multiply(X1,X0),inverse(X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4981,f5091])).
% 299.43/37.95 fof(f5093,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,commutator(X1,inverse(X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4700,f5092])).
% 299.43/37.95 fof(f5094,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,commutator(X2,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f5093])).
% 299.43/37.95 fof(f5132,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,X1)=commutator(X0,multiply(X1,commutator(X1,X0))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4709,f1816])).
% 299.43/37.95 fof(f5152,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,inverse(X1))=commutator(multiply(X1,X0),multiply(X0,commutator(X0,X1))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4709,f4696])).
% 299.43/37.95 fof(f5153,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,X1)=commutator(multiply(X0,X1),multiply(X1,commutator(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f5152])).
% 299.43/37.95 fof(f5173,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,X1))=commutator(multiply(X0,X1),multiply(X2,inverse(X0))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4709,f4085])).
% 299.43/37.95 fof(f5191,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),X2)=commutator(X2,inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4720,f972])).
% 299.43/37.95 fof(f5192,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),X2)=commutator(multiply(X0,X1),X2))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f5191])).
% 299.43/37.95 fof(f5247,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(commutator(X1,X0),multiply(X1,inverse(X0))))),
% 299.43/37.95 inference(backward_demodulation,[status(thm)],[f4720,f1806])).
% 299.43/37.95 fof(f5248,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(X1,multiply(commutator(X1,X0),inverse(X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3792,f5247])).
% 299.43/37.95 fof(f5249,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(inverse(X0),X1)=multiply(X1,multiply(inverse(X0),commutator(X1,X0))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3595,f5248])).
% 299.43/37.95 fof(f5278,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(inverse(X1),X2))=commutator(multiply(inverse(X2),X1),X0))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f207,f4720])).
% 299.43/37.95 fof(f5280,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(X1,inverse(X2)))=commutator(multiply(X2,inverse(X1)),X0))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f146,f4720])).
% 299.43/37.95 fof(f5283,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,X1)=commutator(inverse(X1),X0))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f39,f4720])).
% 299.43/37.95 fof(f5295,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),X1)=multiply(X1,commutator(X1,inverse(X0))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4720,f3585])).
% 299.43/37.95 fof(f5296,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),X1)=multiply(X1,commutator(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f5295])).
% 299.43/37.95 fof(f5302,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(inverse(X0),multiply(X1,commutator(X0,X1)))=multiply(X1,inverse(X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4720,f824])).
% 299.43/37.95 fof(f5542,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),inverse(X0))=inverse(multiply(commutator(X1,X0),X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f3620,f137])).
% 299.43/37.95 fof(f5543,plain,(
% 299.43/37.95 ![X0,X1]: (multiply(commutator(X0,X1),inverse(X0))=multiply(inverse(X0),commutator(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4480,f5542])).
% 299.43/37.95 fof(f5560,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(commutator(X0,X1),multiply(X1,commutator(X1,X0))),X2)=multiply(inverse(multiply(X2,X1)),multiply(commutator(X0,X1),multiply(multiply(X1,commutator(X1,X0)),X2))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f3620,f791])).
% 299.43/37.95 fof(f5561,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(X1,X0)),multiply(commutator(X2,X0),multiply(multiply(X0,commutator(X0,X2)),X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3620,f5560])).
% 299.43/37.95 fof(f5562,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(X1,X0)),multiply(commutator(X2,X0),multiply(X0,multiply(commutator(X0,X2),X1)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f5561])).
% 299.43/37.95 fof(f5563,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=commutator(X0,multiply(commutator(X0,X2),X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4534,f5562])).
% 299.43/37.95 fof(f5580,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(commutator(X1,X2),multiply(X2,commutator(X2,X1))))=multiply(inverse(multiply(commutator(X1,X2),multiply(multiply(X2,commutator(X2,X1)),X0))),multiply(X0,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f3620,f736])).
% 299.43/37.95 fof(f5581,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(commutator(X2,X1),multiply(multiply(X1,commutator(X1,X2)),X0))),multiply(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3620,f5580])).
% 299.43/37.95 fof(f5582,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=multiply(multiply(inverse(multiply(multiply(X1,commutator(X1,X2)),X0)),commutator(X1,X2)),multiply(X0,X1)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4480,f5581])).
% 299.43/37.95 fof(f5583,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(multiply(X1,commutator(X1,X2)),X0)),multiply(commutator(X1,X2),multiply(X0,X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f5582])).
% 299.43/37.95 fof(f5584,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(X1,multiply(commutator(X1,X2),X0))),multiply(commutator(X1,X2),multiply(X0,X1))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f5583])).
% 299.43/37.95 fof(f5585,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=commutator(multiply(commutator(X1,X2),X0),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f791,f5584])).
% 299.43/37.95 fof(f5882,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(commutator(X0,X1),multiply(X0,X2))=commutator(commutator(X0,X1),multiply(multiply(X0,X2),commutator(X2,commutator(X0,X1)))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f910,f5132])).
% 299.43/37.95 fof(f5883,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X0,X2)))=commutator(commutator(X0,X1),multiply(multiply(X0,X2),commutator(X2,commutator(X0,X1)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f5882])).
% 299.43/37.95 fof(f5884,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(commutator(X1,X0),multiply(multiply(X1,X2),commutator(X2,commutator(X1,X0)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4887,f5883])).
% 299.43/37.95 fof(f5885,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X1,commutator(X0,multiply(multiply(X1,X2),commutator(X2,commutator(X1,X0))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f11,f5884])).
% 299.43/37.95 fof(f5886,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X1,commutator(X0,multiply(X1,multiply(X2,commutator(X2,commutator(X1,X0)))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f5885])).
% 299.43/37.95 fof(f5887,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X0,commutator(X1,multiply(X2,commutator(X2,commutator(X1,X0))))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4887,f5886])).
% 299.43/37.95 fof(f5888,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(X2,commutator(X1,X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f3165,f5887])).
% 299.43/37.95 fof(f5916,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),X1)=commutator(multiply(X0,X1),multiply(X1,commutator(X1,X0))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4614,f5132])).
% 299.43/37.95 fof(f5917,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(multiply(X0,X1),X1)=commutator(X0,X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f5153,f5916])).
% 299.43/37.95 fof(f5961,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,inverse(X0)))=commutator(X1,inverse(X0)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4720,f5917])).
% 299.43/37.95 fof(f5962,plain,(
% 299.43/37.95 ![X0,X1]: (commutator(X0,multiply(X1,inverse(X0)))=commutator(X0,X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f5961])).
% 299.43/37.95 fof(f6463,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(multiply(X0,commutator(X1,X0)),X2)=multiply(commutator(X1,X0),multiply(X0,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f5296,f9])).
% 299.43/37.95 fof(f6464,plain,(
% 299.43/37.95 ![X0,X1,X2]: (multiply(X0,multiply(commutator(X1,X0),X2))=multiply(commutator(X1,X0),multiply(X0,X2)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f6463])).
% 299.43/37.95 fof(f6477,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(X0),X1)=commutator(multiply(commutator(inverse(X0),X2),X1),X0))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f5283,f5563])).
% 299.43/37.95 fof(f6478,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=commutator(multiply(commutator(inverse(X1),X2),X0),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f5283,f6477])).
% 299.43/37.95 fof(f6479,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,X1)=commutator(multiply(commutator(X2,X1),X0),X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f5283,f6478])).
% 299.43/37.95 fof(f6501,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,inverse(multiply(X1,commutator(X0,X2))))=commutator(X0,inverse(X1)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f120,f5563])).
% 299.43/37.95 fof(f6502,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X2)),X1)=commutator(X1,inverse(X0)))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f6501])).
% 299.43/37.95 fof(f6503,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X2)),X1)=commutator(X0,X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4720,f6502])).
% 299.43/37.95 fof(f6508,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(inverse(commutator(X0,X1)),X2))=commutator(X0,X2))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f36,f5563])).
% 299.43/37.95 fof(f6509,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(commutator(X1,X0),X2))=commutator(X0,X2))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f822,f6508])).
% 299.43/37.95 fof(f6520,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X0,X1),multiply(commutator(X0,X1),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f5917,f5563])).
% 299.43/37.95 fof(f6521,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X0,X1),multiply(commutator(X1,X0),X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f866,f5563])).
% 299.43/37.95 fof(f6522,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X0,X1),multiply(X1,multiply(X0,X2))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f4473,f6521])).
% 299.43/37.95 fof(f6599,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(multiply(X0,commutator(X1,X2))),X1)=commutator(inverse(X0),X1))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f120,f5585])).
% 299.43/37.95 fof(f6600,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(X1,commutator(X0,X2)))=commutator(inverse(X1),X0))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f5283,f6599])).
% 299.43/37.95 fof(f6601,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(X1,commutator(X0,X2)))=commutator(X0,X1))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f5283,f6600])).
% 299.43/37.95 fof(f6622,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(X0,multiply(X1,X2))=commutator(multiply(commutator(X1,X2),X0),multiply(X1,X2)))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f5917,f5585])).
% 299.43/37.95 fof(f6755,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (inverse(multiply(X0,multiply(X1,commutator(X2,X3))))=multiply(commutator(X3,X2),inverse(multiply(X0,X1))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f137,f4722])).
% 299.43/37.95 fof(f6863,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(multiply(commutator(X0,X1),X2),commutator(X1,X0)),X3)=multiply(inverse(X2),multiply(multiply(commutator(X0,X1),X2),multiply(commutator(X1,X0),X3))))),
% 299.43/37.95 inference(paramodulation,[status(thm)],[f4722,f847])).
% 299.43/37.95 fof(f6864,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(X0,commutator(X1,multiply(commutator(X0,X1),X2))),X3)=multiply(inverse(X2),multiply(multiply(commutator(X0,X1),X2),multiply(commutator(X1,X0),X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f5888,f6863])).
% 299.43/37.95 fof(f6865,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(X0,commutator(X1,X2)),X3)=multiply(inverse(X2),multiply(multiply(commutator(X0,X1),X2),multiply(commutator(X1,X0),X3))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f6509,f6864])).
% 299.43/37.95 fof(f6866,plain,(
% 299.43/37.95 ![X0,X1,X2,X3]: (multiply(commutator(X0,commutator(X1,X2)),X3)=multiply(inverse(X2),multiply(commutator(X0,X1),multiply(X2,multiply(commutator(X1,X0),X3)))))),
% 299.43/37.95 inference(forward_demodulation,[status(thm)],[f9,f6865])).
% 299.43/37.95 fof(f7104,plain,(
% 299.43/37.95 ![X0,X1,X2]: (commutator(inverse(multiply(X0,commutator(X1,X2))),X2)=commutator(inverse(X0),X2))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f120,f6479])).
% 299.43/37.96 fof(f7105,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,commutator(X2,X0)))=commutator(inverse(X1),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f7104])).
% 299.43/37.96 fof(f7106,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,commutator(X2,X0)))=commutator(X0,X1))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f7105])).
% 299.43/37.96 fof(f7190,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(multiply(commutator(X1,X0),X2),commutator(X2,X0)))=multiply(multiply(commutator(X1,X0),X2),X0))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f6479,f824])).
% 299.43/37.96 fof(f7191,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(commutator(X1,X0),multiply(X2,commutator(X2,X0))))=multiply(multiply(commutator(X1,X0),X2),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f7190])).
% 299.43/37.96 fof(f7192,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(commutator(X1,X0),multiply(X2,commutator(X2,X0))))=multiply(commutator(X1,X0),multiply(X2,X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f7191])).
% 299.43/37.96 fof(f10403,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X2)),X2)=commutator(X0,X2))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4720,f6503])).
% 299.43/37.96 fof(f10660,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,commutator(X0,X1)))=commutator(multiply(X0,X1),X2))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5917,f6601])).
% 299.43/37.96 fof(f10661,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,commutator(X1,X0)))=commutator(multiply(X0,X1),X2))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f866,f6601])).
% 299.43/37.96 fof(f11009,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(X1,X2)),X3)=commutator(multiply(X0,commutator(X1,X2)),multiply(commutator(X0,X2),X3)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f10403,f5563])).
% 299.43/37.96 fof(f11352,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(commutator(X2,inverse(X0)),inverse(X0)))=multiply(inverse(multiply(commutator(X2,inverse(X0)),X1)),multiply(X0,multiply(X1,multiply(inverse(X0),commutator(X2,inverse(X0)))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5296,f1301])).
% 299.43/37.96 fof(f11353,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(X0),commutator(X2,inverse(X0))))=multiply(inverse(multiply(commutator(X2,inverse(X0)),X1)),multiply(X0,multiply(X1,multiply(inverse(X0),commutator(X2,inverse(X0)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5296,f11352])).
% 299.43/37.96 fof(f11354,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(X0),commutator(X0,X2)))=multiply(inverse(multiply(commutator(X2,inverse(X0)),X1)),multiply(X0,multiply(X1,multiply(inverse(X0),commutator(X2,inverse(X0)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f11353])).
% 299.43/37.96 fof(f11355,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(X0),commutator(X0,X2)))=commutator(X1,multiply(inverse(X0),commutator(X2,inverse(X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f1232,f11354])).
% 299.43/37.96 fof(f11356,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(X0),commutator(X0,X2)))=commutator(X1,multiply(inverse(X0),commutator(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f11355])).
% 299.43/37.96 fof(f12791,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(commutator(multiply(X0,X1),X2),multiply(X1,X2))=commutator(multiply(inverse(multiply(X2,multiply(X0,X1))),X0),multiply(X1,X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f791,f5192])).
% 299.43/37.96 fof(f12792,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),commutator(X2,multiply(X1,X2)))=commutator(multiply(inverse(multiply(X2,multiply(X0,X1))),X0),multiply(X1,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11,f12791])).
% 299.43/37.96 fof(f12793,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),commutator(X2,X1))=commutator(multiply(inverse(multiply(X2,multiply(X0,X1))),X0),multiply(X1,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4614,f12792])).
% 299.43/37.96 fof(f12794,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(multiply(X1,X0),X2))=commutator(multiply(inverse(multiply(X2,multiply(X1,X0))),X1),multiply(X0,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4938,f12793])).
% 299.43/37.96 fof(f12795,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(inverse(multiply(X2,multiply(X1,X0))),X1),multiply(X0,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4700,f12794])).
% 299.43/37.96 fof(f12796,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=commutator(multiply(X0,X2),multiply(inverse(X1),multiply(X2,multiply(X1,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5278,f12795])).
% 299.43/37.96 fof(f13519,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X2)),inverse(X2))=multiply(inverse(multiply(inverse(X2),multiply(X0,commutator(X1,X2)))),multiply(X0,multiply(inverse(X2),commutator(X1,X2)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f3595,f791])).
% 299.43/37.96 fof(f13520,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,commutator(X2,X0)))=multiply(inverse(multiply(inverse(X0),multiply(X1,commutator(X2,X0)))),multiply(X1,multiply(inverse(X0),commutator(X2,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f13519])).
% 299.43/37.96 fof(f13521,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(inverse(X0),multiply(X1,commutator(X2,X0)))),multiply(X1,multiply(inverse(X0),commutator(X2,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f7106,f13520])).
% 299.43/37.96 fof(f13522,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(commutator(X2,X0)),multiply(commutator(X1,inverse(X0)),commutator(X2,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4478,f13521])).
% 299.43/37.96 fof(f13523,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(commutator(X0,X2),multiply(commutator(X1,inverse(X0)),commutator(X2,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f822,f13522])).
% 299.43/37.96 fof(f13524,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(commutator(X0,X2),multiply(commutator(X0,X1),commutator(X2,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f13523])).
% 299.43/37.96 fof(f13729,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(inverse(X0),commutator(X1,commutator(X2,X3)))=inverse(multiply(commutator(X2,commutator(X3,X1)),X0)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f11,f4480])).
% 299.43/37.96 fof(f13730,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(inverse(X0),commutator(X1,commutator(X2,X3)))=multiply(inverse(X0),commutator(commutator(X3,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4480,f13729])).
% 299.43/37.96 fof(f13731,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(inverse(X0),commutator(X1,commutator(X2,X3)))=multiply(inverse(X0),commutator(X3,commutator(X1,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11,f13730])).
% 299.43/37.96 fof(f13833,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(inverse(X1),commutator(X2,X3)))=commutator(multiply(commutator(X3,X2),X1),X0))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4480,f4720])).
% 299.43/37.96 fof(f13937,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(commutator(X0,X1),X1),multiply(X1,X2))=commutator(X2,multiply(inverse(X1),commutator(X1,X0))))),
% 299.43/37.96 inference(backward_demodulation,[status(thm)],[f13833,f11356])).
% 299.43/37.96 fof(f13938,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X0)),multiply(X0,X2))=commutator(X2,multiply(inverse(X0),commutator(X0,X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5296,f13937])).
% 299.43/37.96 fof(f13939,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X0)),multiply(X0,X2))=commutator(multiply(commutator(X1,X0),X0),X2))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f13833,f13938])).
% 299.43/37.96 fof(f13940,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X0)),multiply(X0,X2))=commutator(multiply(X0,commutator(X1,X0)),X2))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5296,f13939])).
% 299.43/37.96 fof(f14819,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,inverse(X0))),X2)=multiply(X1,multiply(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4726,f9])).
% 299.43/37.96 fof(f14820,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,inverse(X0)),X2))=multiply(X1,multiply(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f14819])).
% 299.43/37.96 fof(f14821,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(inverse(X0),X2)))=multiply(X1,multiply(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f14820])).
% 299.43/37.96 fof(f14911,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,inverse(X0)))=multiply(inverse(multiply(X1,X0)),multiply(X0,multiply(X1,commutator(X0,X1)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4726,f1301])).
% 299.43/37.96 fof(f14912,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,X0))=multiply(inverse(multiply(X1,X0)),multiply(X0,multiply(X1,commutator(X0,X1)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5173,f14911])).
% 299.43/37.96 fof(f14913,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,X0))=multiply(commutator(X0,X1),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f847,f14912])).
% 299.43/37.96 fof(f15603,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X1,X2))),multiply(X1,X2))=commutator(multiply(X0,inverse(X2)),multiply(X1,X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f831,f5192])).
% 299.43/37.96 fof(f19305,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X1,X2)),inverse(X1))=multiply(inverse(multiply(inverse(X1),multiply(X0,commutator(X1,X2)))),multiply(X0,multiply(inverse(X1),commutator(X1,X2)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5543,f791])).
% 299.43/37.96 fof(f19306,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,commutator(X0,X2)))=multiply(inverse(multiply(inverse(X0),multiply(X1,commutator(X0,X2)))),multiply(X1,multiply(inverse(X0),commutator(X0,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f19305])).
% 299.43/37.96 fof(f19307,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(multiply(inverse(X0),multiply(X1,commutator(X0,X2)))),multiply(X1,multiply(inverse(X0),commutator(X0,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6601,f19306])).
% 299.43/37.96 fof(f19308,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(inverse(commutator(X0,X2)),multiply(commutator(X1,inverse(X0)),commutator(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4478,f19307])).
% 299.43/37.96 fof(f19309,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(commutator(X2,X0),multiply(commutator(X1,inverse(X0)),commutator(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f822,f19308])).
% 299.43/37.96 fof(f19310,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,X1)=multiply(commutator(X2,X0),multiply(commutator(X0,X1),commutator(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f19309])).
% 299.43/37.96 fof(f21813,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(commutator(X0,X1),X0),X2)=commutator(multiply(X0,commutator(X0,X1)),multiply(commutator(X0,X1),multiply(X0,X2))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f3585,f971])).
% 299.43/37.96 fof(f21814,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,X1)),X2)=commutator(multiply(X0,commutator(X0,X1)),multiply(commutator(X0,X1),multiply(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f3585,f21813])).
% 299.43/37.96 fof(f21815,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,X1)),X2)=commutator(multiply(X0,commutator(X0,X1)),multiply(X0,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11009,f21814])).
% 299.43/37.96 fof(f22315,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(multiply(commutator(X0,X1),X2),multiply(commutator(multiply(commutator(X0,X1),X2),X1),X3))=multiply(commutator(X2,X1),multiply(multiply(commutator(X0,X1),X2),X3)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f6479,f3792])).
% 299.43/37.96 fof(f22316,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,X1),multiply(X2,multiply(commutator(multiply(commutator(X0,X1),X2),X1),X3)))=multiply(commutator(X2,X1),multiply(multiply(commutator(X0,X1),X2),X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f22315])).
% 299.43/37.96 fof(f22317,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,X1),multiply(X2,multiply(commutator(X2,X1),X3)))=multiply(commutator(X2,X1),multiply(multiply(commutator(X0,X1),X2),X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6479,f22316])).
% 299.43/37.96 fof(f22318,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,X1),multiply(X2,multiply(commutator(X2,X1),X3)))=multiply(commutator(X2,X1),multiply(commutator(X0,X1),multiply(X2,X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f22317])).
% 299.43/37.96 fof(f22527,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(commutator(multiply(X0,X1),X2),X3))=multiply(commutator(multiply(X0,X1),X2),multiply(X0,multiply(X1,X3))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f9,f3792])).
% 299.43/37.96 fof(f22528,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X0,X1),X2),X3)))=multiply(commutator(multiply(X0,X1),X2),multiply(X0,multiply(X1,X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f22527])).
% 299.43/37.96 fof(f22543,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(inverse(multiply(X0,X1)),commutator(X2,X0))=inverse(multiply(X0,multiply(commutator(X0,X2),X1))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f3792,f4480])).
% 299.43/37.96 fof(f23023,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(multiply(commutator(X0,X1),X2),multiply(commutator(X0,multiply(commutator(X0,X1),X2)),X3))=multiply(commutator(X0,X2),multiply(multiply(commutator(X0,X1),X2),X3)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5563,f6464])).
% 299.43/37.96 fof(f23024,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,X1),multiply(X2,multiply(commutator(X0,multiply(commutator(X0,X1),X2)),X3)))=multiply(commutator(X0,X2),multiply(multiply(commutator(X0,X1),X2),X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f23023])).
% 299.43/37.96 fof(f23025,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,X1),multiply(X2,multiply(commutator(X0,X2),X3)))=multiply(commutator(X0,X2),multiply(multiply(commutator(X0,X1),X2),X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5563,f23024])).
% 299.43/37.96 fof(f23026,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,X1),multiply(X2,multiply(commutator(X0,X2),X3)))=multiply(commutator(X0,X2),multiply(commutator(X0,X1),multiply(X2,X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f23025])).
% 299.43/37.96 fof(f23765,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X0,X2))=commutator(multiply(X0,X1),multiply(X0,multiply(commutator(X0,X1),X2))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f3792,f6520])).
% 299.43/37.96 fof(f23782,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,X1),inverse(multiply(X2,multiply(X3,commutator(X0,X1)))))=commutator(multiply(X0,X1),inverse(multiply(X2,X3))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f137,f6520])).
% 299.43/37.96 fof(f23783,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,commutator(X2,X3))),multiply(X2,X3))=commutator(multiply(X2,X3),inverse(multiply(X0,X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f23782])).
% 299.43/37.96 fof(f23784,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,commutator(X2,X3))),multiply(X2,X3))=commutator(multiply(X0,X1),multiply(X2,X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f23783])).
% 299.43/37.96 fof(f24026,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X1,X2))=commutator(multiply(X0,inverse(X2)),multiply(X1,X2)))),
% 299.43/37.96 inference(backward_demodulation,[status(thm)],[f23784,f15603])).
% 299.43/37.96 fof(f24392,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),inverse(multiply(X2,X0)))=commutator(multiply(X0,X1),multiply(X1,inverse(X2))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f120,f6522])).
% 299.43/37.96 fof(f24393,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X1,X2))=commutator(multiply(X1,X2),multiply(X2,inverse(X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f24392])).
% 299.43/37.96 fof(f24401,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(X0),X2))=commutator(multiply(X0,X1),multiply(X1,X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f36,f6522])).
% 299.43/37.96 fof(f24596,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(inverse(multiply(X0,multiply(X1,commutator(X2,X3)))),multiply(X2,X3))=commutator(inverse(multiply(X0,X1)),multiply(X2,X3)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f137,f6622])).
% 299.43/37.96 fof(f24597,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,X1),multiply(X2,multiply(X3,commutator(X0,X1))))=commutator(inverse(multiply(X2,X3)),multiply(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f24596])).
% 299.43/37.96 fof(f24598,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,X1),multiply(X2,multiply(X3,commutator(X0,X1))))=commutator(multiply(X0,X1),multiply(X2,X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f24597])).
% 299.43/37.96 fof(f25677,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,multiply(inverse(X1),inverse(X2))),X3)=multiply(inverse(multiply(inverse(multiply(X2,X1)),X0)),multiply(X0,multiply(inverse(X1),multiply(inverse(X2),X3)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f350,f1530])).
% 299.43/37.96 fof(f25678,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(X0,inverse(multiply(X1,X2))),X3)=multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),multiply(X0,multiply(inverse(X2),multiply(inverse(X1),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f149,f25677])).
% 299.43/37.96 fof(f25679,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(X2,multiply(inverse(X1),multiply(inverse(X0),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f25678])).
% 299.43/37.96 fof(f25680,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(multiply(inverse(X2),multiply(X0,X1)),multiply(X2,multiply(inverse(X1),multiply(inverse(X0),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f207,f25679])).
% 299.43/37.96 fof(f25681,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(X2,multiply(inverse(X1),multiply(inverse(X0),X3))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f25680])).
% 299.43/37.96 fof(f25682,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(X2,multiply(inverse(X1),multiply(inverse(X0),X3)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f25681])).
% 299.43/37.96 fof(f25683,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X1),X2),X3)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(X2,multiply(inverse(multiply(X0,X1)),X3))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f350,f25682])).
% 299.43/37.96 fof(f26081,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(inverse(X0),multiply(inverse(X1),X2)),X3)=multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X0)))),multiply(inverse(multiply(X1,X0)),multiply(X2,X3))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f350,f1530])).
% 299.43/37.96 fof(f26082,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(X2)))),multiply(inverse(multiply(X0,X2)),multiply(X1,X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f26081])).
% 299.43/37.96 fof(f26083,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(inverse(multiply(multiply(X0,X2),multiply(inverse(X0),multiply(X1,inverse(X2))))),multiply(X1,X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f350,f26082])).
% 299.43/37.96 fof(f26084,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(multiply(inverse(multiply(X1,inverse(X2))),multiply(X0,inverse(multiply(X0,X2)))),multiply(X1,X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f310,f26083])).
% 299.43/37.96 fof(f26085,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(inverse(multiply(X1,inverse(X2))),multiply(multiply(X0,inverse(multiply(X0,X2))),multiply(X1,X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f26084])).
% 299.43/37.96 fof(f26086,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(multiply(X2,inverse(X1)),multiply(multiply(X0,inverse(multiply(X0,X2))),multiply(X1,X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f146,f26085])).
% 299.43/37.96 fof(f26087,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(X2,multiply(inverse(X1),multiply(multiply(X0,inverse(multiply(X0,X2))),multiply(X1,X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f26086])).
% 299.43/37.96 fof(f26088,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),X3)=multiply(X2,multiply(inverse(X1),multiply(X0,multiply(inverse(multiply(X0,X2)),multiply(X1,X3))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f26087])).
% 299.43/37.96 fof(f26101,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(inverse(X0),multiply(X0,X1)),X2)=multiply(inverse(multiply(X0,multiply(X1,inverse(X0)))),multiply(X1,X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f21,f1530])).
% 299.43/37.96 fof(f26102,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(multiply(X0,X1),X0),X2)=multiply(inverse(multiply(X0,multiply(X1,inverse(X0)))),multiply(X1,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f26101])).
% 299.43/37.96 fof(f26103,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(inverse(multiply(X1,multiply(X0,inverse(X1)))),multiply(X0,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f866,f26102])).
% 299.43/37.96 fof(f26104,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(multiply(X1,inverse(multiply(X1,X0))),multiply(X0,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f160,f26103])).
% 299.43/37.96 fof(f26105,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(X1,multiply(inverse(multiply(X1,X0)),multiply(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f26104])).
% 299.43/37.96 fof(f26218,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(inverse(X1),X2)),commutator(X1,X2))=multiply(inverse(multiply(inverse(X1),multiply(X2,X0))),multiply(X0,multiply(X2,inverse(X1)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5302,f1530])).
% 299.43/37.96 fof(f26219,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(inverse(X1),X2)),commutator(X1,X2))=commutator(multiply(inverse(inverse(X1)),X0),multiply(X2,inverse(X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f1328,f26218])).
% 299.43/37.96 fof(f26220,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(inverse(X1),X2)),commutator(X1,X2))=commutator(multiply(X1,X0),multiply(X2,inverse(X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f39,f26219])).
% 299.43/37.96 fof(f26257,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(X1,X2)),commutator(X2,X1))=multiply(inverse(multiply(X1,multiply(X2,X0))),multiply(X0,multiply(X2,X1))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f824,f1530])).
% 299.43/37.96 fof(f26258,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(X1,X2)),commutator(X2,X1))=commutator(multiply(inverse(X1),X0),multiply(X2,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f1328,f26257])).
% 299.43/37.96 fof(f26462,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X3))),X3))=multiply(inverse(multiply(commutator(X3,multiply(X0,X1)),X2)),multiply(X0,multiply(multiply(X1,X2),multiply(inverse(multiply(X0,multiply(X1,X3))),X3)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f1530,f1367])).
% 299.43/37.96 fof(f26463,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X3))),X3))=multiply(multiply(inverse(X2),commutator(multiply(X0,X1),X3)),multiply(X0,multiply(multiply(X1,X2),multiply(inverse(multiply(X0,multiply(X1,X3))),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4480,f26462])).
% 299.43/37.96 fof(f26464,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X3))),X3))=multiply(inverse(X2),multiply(commutator(multiply(X0,X1),X3),multiply(X0,multiply(multiply(X1,X2),multiply(inverse(multiply(X0,multiply(X1,X3))),X3))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f26463])).
% 299.43/37.96 fof(f26465,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X3))),X3))=multiply(inverse(X2),multiply(commutator(multiply(X0,X1),X3),multiply(X0,multiply(X1,multiply(X2,multiply(inverse(multiply(X0,multiply(X1,X3))),X3)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f26464])).
% 299.43/37.96 fof(f26466,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X3))),X3))=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(multiply(X0,X1),X3),multiply(X2,multiply(inverse(multiply(X0,multiply(X1,X3))),X3)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f22528,f26465])).
% 299.43/37.96 fof(f30135,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X2,X1))),X3)=multiply(inverse(multiply(X3,multiply(X0,commutator(X2,X1)))),multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(multiply(X2,X1),X3)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f351,f3929])).
% 299.43/37.96 fof(f30136,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(X1,X2)),X3)=multiply(inverse(multiply(X3,multiply(X0,commutator(X1,X2)))),multiply(X0,multiply(inverse(multiply(X2,X1)),multiply(multiply(X1,X2),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f351,f30135])).
% 299.43/37.96 fof(f30137,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(X1,X2)),X3)=multiply(multiply(commutator(X2,X1),inverse(multiply(X3,X0))),multiply(X0,multiply(inverse(multiply(X2,X1)),multiply(multiply(X1,X2),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6755,f30136])).
% 299.43/37.96 fof(f30138,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(X1,X2)),X3)=multiply(commutator(X2,X1),multiply(inverse(multiply(X3,X0)),multiply(X0,multiply(inverse(multiply(X2,X1)),multiply(multiply(X1,X2),X3))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f30137])).
% 299.43/37.96 fof(f30139,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(X1,X2)),X3)=multiply(commutator(X2,X1),multiply(inverse(multiply(X3,X0)),multiply(X0,multiply(inverse(multiply(X2,X1)),multiply(X1,multiply(X2,X3)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f30138])).
% 299.43/37.96 fof(f30140,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(X1,X2)),X3)=multiply(commutator(X2,X1),multiply(inverse(multiply(X3,X0)),multiply(X0,multiply(commutator(X1,X2),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f847,f30139])).
% 299.43/37.96 fof(f35328,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(multiply(X0,X1),multiply(X2,inverse(X1)))),X2),multiply(inverse(X1),multiply(X0,X1)))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(X2,multiply(inverse(X1),multiply(inverse(multiply(X0,commutator(X0,X1))),commutator(multiply(X2,inverse(X1)),multiply(X0,X1))))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f831,f3968])).
% 299.43/37.96 fof(f35329,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(inverse(X0),multiply(X1,X0)),multiply(inverse(X2),multiply(multiply(X1,X0),multiply(X2,inverse(X0)))))=multiply(inverse(X2),multiply(multiply(X1,X0),multiply(X2,multiply(inverse(X0),multiply(inverse(multiply(X1,commutator(X1,X0))),commutator(multiply(X2,inverse(X0)),multiply(X1,X0))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5278,f35328])).
% 299.43/37.96 fof(f35330,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(inverse(X0),commutator(X1,multiply(X2,X0)))=multiply(inverse(X1),multiply(multiply(X2,X0),multiply(X1,multiply(inverse(X0),multiply(inverse(multiply(X2,commutator(X2,X0))),commutator(multiply(X1,inverse(X0)),multiply(X2,X0))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f12796,f35329])).
% 299.43/37.96 fof(f35331,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(commutator(X0,multiply(X1,X2)),X2)=multiply(inverse(X0),multiply(multiply(X1,X2),multiply(X0,multiply(inverse(X2),multiply(inverse(multiply(X1,commutator(X1,X2))),commutator(multiply(X0,inverse(X2)),multiply(X1,X2))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f35330])).
% 299.43/37.96 fof(f35332,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(multiply(X1,X2),X2))=multiply(inverse(X0),multiply(multiply(X1,X2),multiply(X0,multiply(inverse(X2),multiply(inverse(multiply(X1,commutator(X1,X2))),commutator(multiply(X0,inverse(X2)),multiply(X1,X2))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11,f35331])).
% 299.43/37.96 fof(f35333,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,multiply(X2,X1)))=multiply(inverse(X0),multiply(multiply(X2,X1),multiply(X0,multiply(inverse(X1),multiply(inverse(multiply(X2,commutator(X2,X1))),commutator(multiply(X0,inverse(X1)),multiply(X2,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5094,f35332])).
% 299.43/37.96 fof(f35334,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(inverse(X0),multiply(multiply(X2,X1),multiply(X0,multiply(inverse(X1),multiply(inverse(multiply(X2,commutator(X2,X1))),commutator(multiply(X0,inverse(X1)),multiply(X2,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4614,f35333])).
% 299.43/37.96 fof(f35335,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(inverse(X0),multiply(X2,multiply(X1,multiply(X0,multiply(inverse(X1),multiply(inverse(multiply(X2,commutator(X2,X1))),commutator(multiply(X0,inverse(X1)),multiply(X2,X1)))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f35334])).
% 299.43/37.96 fof(f35336,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(inverse(X0),multiply(X2,multiply(X1,multiply(X0,multiply(inverse(multiply(multiply(X2,commutator(X2,X1)),X1)),commutator(multiply(X0,inverse(X1)),multiply(X2,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f350,f35335])).
% 299.43/37.96 fof(f35337,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(inverse(X0),multiply(X2,multiply(X1,multiply(X0,multiply(inverse(multiply(X2,multiply(commutator(X2,X1),X1))),commutator(multiply(X0,inverse(X1)),multiply(X2,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f35336])).
% 299.43/37.96 fof(f35338,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(inverse(X0),multiply(X2,multiply(X1,multiply(X0,multiply(multiply(inverse(multiply(X2,X1)),commutator(X1,X2)),commutator(multiply(X0,inverse(X1)),multiply(X2,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f22543,f35337])).
% 299.43/37.96 fof(f35339,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(inverse(X0),multiply(X2,multiply(X1,multiply(X0,multiply(inverse(multiply(X2,X1)),multiply(commutator(X1,X2),commutator(multiply(X0,inverse(X1)),multiply(X2,X1)))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f35338])).
% 299.43/37.96 fof(f35340,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),multiply(commutator(X1,X2),commutator(multiply(X0,inverse(X1)),multiply(X2,X1)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f25683,f35339])).
% 299.43/37.96 fof(f35373,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(inverse(multiply(commutator(X0,X1),multiply(X2,X0))),X2),multiply(X0,commutator(X0,X1)))=multiply(inverse(X2),multiply(commutator(X0,X1),multiply(X2,multiply(X0,multiply(inverse(multiply(inverse(X1),multiply(X0,X1))),commutator(multiply(X2,X0),commutator(X0,X1))))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f831,f3968])).
% 299.43/37.96 fof(f35374,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,X1)),multiply(inverse(X2),multiply(commutator(X0,X1),multiply(X2,X0))))=multiply(inverse(X2),multiply(commutator(X0,X1),multiply(X2,multiply(X0,multiply(inverse(multiply(inverse(X1),multiply(X0,X1))),commutator(multiply(X2,X0),commutator(X0,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5278,f35373])).
% 299.43/37.96 fof(f35375,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,commutator(X0,X2)))=multiply(inverse(X1),multiply(commutator(X0,X2),multiply(X1,multiply(X0,multiply(inverse(multiply(inverse(X2),multiply(X0,X2))),commutator(multiply(X1,X0),commutator(X0,X2))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f12796,f35374])).
% 299.43/37.96 fof(f35376,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(inverse(X0),multiply(commutator(X1,X2),multiply(X0,multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X1,X2))),commutator(multiply(X0,X1),commutator(X1,X2))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f3731,f35375])).
% 299.43/37.96 fof(f35377,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(inverse(X0),multiply(commutator(X1,X2),multiply(X0,multiply(X1,multiply(inverse(multiply(inverse(X2),multiply(X1,X2))),commutator(X1,commutator(X2,multiply(X0,X1)))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f13731,f35376])).
% 299.43/37.96 fof(f35378,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(inverse(X0),multiply(commutator(X1,X2),multiply(X0,multiply(X1,multiply(multiply(inverse(multiply(X1,X2)),X2),commutator(X1,commutator(X2,multiply(X0,X1)))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f207,f35377])).
% 299.43/37.96 fof(f35379,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(inverse(X0),multiply(commutator(X1,X2),multiply(X0,multiply(X1,multiply(inverse(multiply(X1,X2)),multiply(X2,commutator(X1,commutator(X2,multiply(X0,X1))))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f35378])).
% 299.43/37.96 fof(f35380,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(inverse(X0),multiply(commutator(X1,X2),multiply(X0,multiply(commutator(X2,X1),commutator(X1,commutator(X2,multiply(X0,X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f26105,f35379])).
% 299.43/37.96 fof(f35381,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(commutator(X0,commutator(X1,X2)),commutator(X0,commutator(X1,multiply(X2,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6866,f35380])).
% 299.43/37.96 fof(f35382,plain,(
% 299.43/37.96 ![X0,X1,X2]: (identity=multiply(commutator(X0,commutator(X1,X2)),commutator(X0,commutator(X1,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4681,f35381])).
% 299.43/37.96 fof(f37887,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),multiply(X2,commutator(X2,commutator(X1,X0))))=multiply(X2,commutator(X0,X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5094,f824])).
% 299.43/37.96 fof(f39179,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X2,X0))=multiply(commutator(X2,X0),commutator(X0,X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f13524,f4722])).
% 299.43/37.96 fof(f40223,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X0,X2))=multiply(commutator(X0,X2),commutator(X0,X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f19310,f4722])).
% 299.43/37.96 fof(f41301,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(commutator(multiply(X0,X0),multiply(X1,X0)),multiply(X2,commutator(X0,X1)))=multiply(commutator(commutator(X0,X1),X2),commutator(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f14913,f14913])).
% 299.43/37.96 fof(f41302,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),commutator(multiply(X1,X0),multiply(X2,commutator(X0,X1))))=multiply(commutator(commutator(X0,X1),X2),commutator(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11,f41301])).
% 299.43/37.96 fof(f41303,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),commutator(multiply(X1,X0),X2))=multiply(commutator(commutator(X0,X1),X2),commutator(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f10661,f41302])).
% 299.43/37.96 fof(f41304,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),commutator(multiply(X1,X0),X2))=multiply(commutator(X0,commutator(X1,X2)),commutator(commutator(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11,f41303])).
% 299.43/37.96 fof(f41305,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),commutator(multiply(X1,X0),X2))=multiply(commutator(X0,commutator(X1,X2)),commutator(X0,commutator(X1,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f11,f41304])).
% 299.43/37.96 fof(f41306,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),commutator(multiply(X1,X0),X2))=identity)),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f35382,f41305])).
% 299.43/37.96 fof(f41728,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(multiply(X1,inverse(X0)),X0))=multiply(commutator(X0,X1),commutator(X0,multiply(X1,inverse(X0)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5962,f14913])).
% 299.43/37.96 fof(f41729,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,multiply(inverse(X0),X0)))=multiply(commutator(X0,X1),commutator(X0,multiply(X1,inverse(X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f41728])).
% 299.43/37.96 fof(f41730,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,identity))=multiply(commutator(X0,X1),commutator(X0,multiply(X1,inverse(X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f8,f41729])).
% 299.43/37.96 fof(f41731,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=multiply(commutator(X0,X1),commutator(X0,multiply(X1,inverse(X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f24,f41730])).
% 299.43/37.96 fof(f41732,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=multiply(commutator(X0,X1),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5962,f41731])).
% 299.43/37.96 fof(f41737,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(multiply(X0,X1),X0))=multiply(commutator(X0,X1),commutator(X0,multiply(X0,X1))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f925,f14913])).
% 299.43/37.96 fof(f41738,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X0,multiply(X1,X0)))=multiply(commutator(X0,X1),commutator(X0,multiply(X0,X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f41737])).
% 299.43/37.96 fof(f41739,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X0,multiply(X1,X0)))=multiply(commutator(X0,X1),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f925,f41738])).
% 299.43/37.96 fof(f41740,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X0,multiply(X1,X0)))=commutator(multiply(X0,X0),X1))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41732,f41739])).
% 299.43/37.96 fof(f41875,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(multiply(inverse(X0),X1),X0))=multiply(commutator(X0,multiply(inverse(X0),X1)),commutator(X0,X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f810,f14913])).
% 299.43/37.96 fof(f41876,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(inverse(X0),multiply(X1,X0)))=multiply(commutator(X0,multiply(inverse(X0),X1)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f41875])).
% 299.43/37.96 fof(f41877,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X0,multiply(X1,X0)))=multiply(commutator(X0,multiply(inverse(X0),X1)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f24401,f41876])).
% 299.43/37.96 fof(f41878,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=multiply(commutator(X0,multiply(inverse(X0),X1)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41740,f41877])).
% 299.43/37.96 fof(f41879,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=commutator(multiply(X0,X0),multiply(X1,inverse(X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f26220,f41878])).
% 299.43/37.96 fof(f41880,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=commutator(multiply(X0,X0),multiply(X1,X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5173,f41879])).
% 299.43/37.96 fof(f41881,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),multiply(multiply(X1,commutator(X2,X0)),X0))=multiply(commutator(X0,multiply(X1,commutator(X2,X0))),commutator(X0,X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f7106,f14913])).
% 299.43/37.96 fof(f41882,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),multiply(X1,commutator(X2,X0)))=multiply(commutator(X0,multiply(X1,commutator(X2,X0))),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41880,f41881])).
% 299.43/37.96 fof(f41883,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),multiply(X1,commutator(X2,X0)))=multiply(commutator(X0,X1),commutator(X0,multiply(X1,commutator(X2,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f40223,f41882])).
% 299.43/37.96 fof(f41884,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),multiply(X1,commutator(X2,X0)))=multiply(commutator(X0,X1),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f7106,f41883])).
% 299.43/37.96 fof(f41885,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X0),multiply(X1,commutator(X2,X0)))=commutator(multiply(X0,X0),X1))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41732,f41884])).
% 299.43/37.96 fof(f41899,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(multiply(X1,X0),X0))=multiply(commutator(X0,multiply(X1,X0)),commutator(X0,X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4614,f14913])).
% 299.43/37.96 fof(f41900,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,X0))=multiply(commutator(X0,multiply(X1,X0)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41880,f41899])).
% 299.43/37.96 fof(f41901,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=multiply(commutator(X0,multiply(X1,X0)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41880,f41900])).
% 299.43/37.96 fof(f41902,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=commutator(multiply(inverse(X1),X0),multiply(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f26258,f41901])).
% 299.43/37.96 fof(f41903,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=commutator(multiply(X0,X1),multiply(inverse(X0),X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5278,f41902])).
% 299.43/37.96 fof(f41909,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,inverse(X1)),multiply(X1,inverse(inverse(X1))))=multiply(commutator(inverse(X1),X0),commutator(inverse(X1),X0)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f14913,f5280])).
% 299.43/37.96 fof(f41910,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,inverse(X1)),multiply(X1,X1))=multiply(commutator(inverse(X1),X0),commutator(inverse(X1),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f39,f41909])).
% 299.43/37.96 fof(f41911,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X1),multiply(X1,X1))=multiply(commutator(inverse(X1),X0),commutator(inverse(X1),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f24026,f41910])).
% 299.43/37.96 fof(f41912,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X1),multiply(X1,X1))=commutator(multiply(inverse(X1),inverse(X1)),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41732,f41911])).
% 299.43/37.96 fof(f41913,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X1),multiply(X1,X1))=commutator(inverse(multiply(X1,X1)),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f149,f41912])).
% 299.43/37.96 fof(f41914,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X1),multiply(X1,X1))=commutator(X0,multiply(X1,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f41913])).
% 299.43/37.96 fof(f41997,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(commutator(multiply(X1,X1),multiply(X0,X1)),X2))=multiply(multiply(commutator(X1,X0),commutator(X1,X0)),multiply(multiply(X0,X1),X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f14913,f6464])).
% 299.43/37.96 fof(f41998,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),multiply(X0,X1)),X2)))=multiply(multiply(commutator(X1,X0),commutator(X1,X0)),multiply(multiply(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f41997])).
% 299.43/37.96 fof(f41999,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(multiply(commutator(X1,X0),commutator(X1,X0)),multiply(multiply(X0,X1),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41880,f41998])).
% 299.43/37.96 fof(f42000,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(commutator(X1,X0),multiply(commutator(X1,X0),multiply(multiply(X0,X1),X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f41999])).
% 299.43/37.96 fof(f42001,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(commutator(X1,X0),multiply(commutator(X1,X0),multiply(X0,multiply(X1,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f42000])).
% 299.43/37.96 fof(f42002,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(commutator(X1,X0),multiply(X0,multiply(commutator(X1,X0),multiply(X1,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f23026,f42001])).
% 299.43/37.96 fof(f42003,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(X0,multiply(commutator(X1,X0),multiply(commutator(X1,X0),multiply(X1,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6464,f42002])).
% 299.43/37.96 fof(f42004,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(X0,multiply(commutator(X1,X0),multiply(X1,multiply(commutator(X1,X0),X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f22318,f42003])).
% 299.43/37.96 fof(f42005,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(X0,multiply(X1,multiply(commutator(X1,X0),multiply(commutator(X1,X0),X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f3792,f42004])).
% 299.43/37.96 fof(f42006,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(X0,multiply(X1,multiply(commutator(multiply(X1,X1),X0),X2)))=multiply(X1,multiply(X0,multiply(commutator(X1,X0),X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f1850,f42005])).
% 299.43/37.96 fof(f42016,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X1),multiply(X1,X1))=inverse(multiply(commutator(X1,X0),commutator(X1,X0))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f14913,f822])).
% 299.43/37.96 fof(f42017,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(X0,multiply(X1,X1))=inverse(multiply(commutator(X1,X0),commutator(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41914,f42016])).
% 299.43/37.96 fof(f42018,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(X0,multiply(X1,X1))=multiply(inverse(commutator(X1,X0)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4480,f42017])).
% 299.43/37.96 fof(f42019,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(X0,multiply(X1,X1))=multiply(commutator(X0,X1),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f822,f42018])).
% 299.43/37.96 fof(f42020,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(X0,multiply(X1,X1))=commutator(multiply(X0,X0),X1))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41732,f42019])).
% 299.43/37.96 fof(f42076,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(commutator(X1,X2),commutator(X1,X2)))=commutator(multiply(X1,X1),commutator(multiply(X2,X1),X0)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f14913,f4938])).
% 299.43/37.96 fof(f42077,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(multiply(X1,X1),X2))=commutator(multiply(X1,X1),commutator(multiply(X2,X1),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41732,f42076])).
% 299.43/37.96 fof(f42078,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(multiply(X1,X1),X2))=identity)),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41306,f42077])).
% 299.43/37.96 fof(f42103,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(multiply(commutator(X0,X1),commutator(X0,X1)),multiply(X1,X0))=multiply(multiply(X1,X0),commutator(multiply(X0,X0),multiply(X1,X0))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f14913,f5296])).
% 299.43/37.96 fof(f42104,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(commutator(X0,X1),multiply(commutator(X0,X1),multiply(X1,X0)))=multiply(multiply(X1,X0),commutator(multiply(X0,X0),multiply(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f42103])).
% 299.43/37.96 fof(f42105,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X1,multiply(commutator(X0,X1),X0)))=multiply(multiply(X1,X0),commutator(multiply(X0,X0),multiply(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f23026,f42104])).
% 299.43/37.96 fof(f42106,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(X0,multiply(commutator(X1,X0),multiply(commutator(X1,X0),X1)))=multiply(multiply(X0,X1),commutator(multiply(X1,X1),multiply(X0,X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6464,f42105])).
% 299.43/37.96 fof(f42107,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(X0,multiply(commutator(X1,X0),multiply(X1,commutator(X1,X0))))=multiply(multiply(X0,X1),commutator(multiply(X1,X1),multiply(X0,X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f3585,f42106])).
% 299.43/37.96 fof(f42108,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(commutator(X0,X1),multiply(X0,X1))=multiply(multiply(X1,X0),commutator(multiply(X0,X0),multiply(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f7192,f42107])).
% 299.43/37.96 fof(f42109,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(X0,multiply(commutator(X0,X1),X1))=multiply(multiply(X1,X0),commutator(multiply(X0,X0),multiply(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f3792,f42108])).
% 299.43/37.96 fof(f42110,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(X0,multiply(X1,commutator(X0,X1)))=multiply(multiply(X1,X0),commutator(multiply(X0,X0),multiply(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5296,f42109])).
% 299.43/37.96 fof(f42111,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(X0,multiply(X1,commutator(X0,X1)))=multiply(X1,multiply(X0,commutator(multiply(X0,X0),multiply(X1,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f42110])).
% 299.43/37.96 fof(f42112,plain,(
% 299.43/37.96 ![X0,X1]: (multiply(X0,multiply(X1,commutator(X0,X1)))=multiply(X1,multiply(X0,commutator(multiply(X0,X0),X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41880,f42111])).
% 299.43/37.96 fof(f55196,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),multiply(X1,commutator(X1,X0)))=commutator(multiply(X1,X0),multiply(inverse(X0),multiply(X1,commutator(X1,X0)))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f824,f41903])).
% 299.43/37.96 fof(f55197,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=commutator(multiply(X1,X0),multiply(inverse(X0),multiply(X1,commutator(X1,X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f41885,f55196])).
% 299.43/37.96 fof(f55198,plain,(
% 299.43/37.96 ![X0,X1]: (commutator(multiply(X0,X0),X1)=commutator(multiply(X1,X0),multiply(inverse(X0),X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f24598,f55197])).
% 299.43/37.96 fof(f61140,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(inverse(X1),multiply(inverse(X2),X1)))=commutator(multiply(inverse(commutator(inverse(X2),X1)),X2),X0))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f831,f5278])).
% 299.43/37.96 fof(f61141,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(inverse(multiply(X1,X2)),X2))=commutator(multiply(inverse(commutator(inverse(X1),X2)),X1),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f350,f61140])).
% 299.43/37.96 fof(f61142,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(inverse(multiply(X1,X2)),X2))=commutator(multiply(commutator(X2,inverse(X1)),X1),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f822,f61141])).
% 299.43/37.96 fof(f61143,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(inverse(multiply(X1,X2)),X2))=commutator(multiply(commutator(X1,X2),X1),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f61142])).
% 299.43/37.96 fof(f61144,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(inverse(multiply(X1,X2)),X2))=commutator(multiply(X1,commutator(X1,X2)),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f3585,f61143])).
% 299.43/37.96 fof(f64512,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X2,multiply(X1,X0)))=multiply(commutator(X2,multiply(X1,X0)),commutator(multiply(X1,X0),X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f866,f39179])).
% 299.43/37.96 fof(f64513,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X2,multiply(X1,X0)))=multiply(commutator(X2,multiply(X1,X0)),commutator(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f866,f64512])).
% 299.43/37.96 fof(f64514,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X2,multiply(X1,X0)))=commutator(multiply(inverse(X1),X2),multiply(X0,X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f26258,f64513])).
% 299.43/37.96 fof(f64549,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(inverse(X0),X1),X2),commutator(X3,X2))=multiply(commutator(X3,X2),commutator(X2,multiply(inverse(X1),X0))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5278,f39179])).
% 299.43/37.96 fof(f65719,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),commutator(multiply(inverse(X2),multiply(X0,inverse(X1))),multiply(X1,X2))))),
% 299.43/37.96 inference(backward_demodulation,[status(thm)],[f64514,f35340])).
% 299.43/37.96 fof(f65720,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),commutator(multiply(X1,X2),multiply(inverse(multiply(X0,inverse(X1))),X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5278,f65719])).
% 299.43/37.96 fof(f65721,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),commutator(multiply(X1,X2),multiply(multiply(X1,inverse(X0)),X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f146,f65720])).
% 299.43/37.96 fof(f65722,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),commutator(multiply(X1,X2),multiply(X1,multiply(inverse(X0),X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f65721])).
% 299.43/37.96 fof(f67661,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,inverse(multiply(multiply(X1,inverse(X2)),X2))),multiply(X2,multiply(X1,inverse(X2))))=multiply(multiply(X1,inverse(X2)),multiply(X2,multiply(inverse(multiply(X2,multiply(multiply(X1,inverse(X2)),X0))),multiply(X0,commutator(X2,X1))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5962,f4043])).
% 299.43/37.96 fof(f67662,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,inverse(X0))),multiply(multiply(multiply(X1,inverse(X0)),X0),inverse(X2)))=multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(multiply(X0,multiply(multiply(X1,inverse(X0)),X2))),multiply(X2,commutator(X0,X1))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5280,f67661])).
% 299.43/37.96 fof(f67663,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,inverse(X0))),multiply(multiply(X1,inverse(X0)),multiply(X0,inverse(X2))))=multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(multiply(X0,multiply(multiply(X1,inverse(X0)),X2))),multiply(X2,commutator(X0,X1))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f67662])).
% 299.43/37.96 fof(f67664,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,inverse(X0))),inverse(X2))=multiply(multiply(X1,inverse(X0)),multiply(X0,multiply(inverse(multiply(X0,multiply(multiply(X1,inverse(X0)),X2))),multiply(X2,commutator(X0,X1))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f6522,f67663])).
% 299.43/37.96 fof(f67665,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(multiply(X2,inverse(X1)),multiply(X1,multiply(inverse(multiply(X1,multiply(multiply(X2,inverse(X1)),X0))),multiply(X0,commutator(X1,X2))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f67664])).
% 299.43/37.96 fof(f67666,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(X2,multiply(inverse(X1),multiply(X1,multiply(inverse(multiply(X1,multiply(multiply(X2,inverse(X1)),X0))),multiply(X0,commutator(X1,X2)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f67665])).
% 299.43/37.96 fof(f67667,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(X2,multiply(inverse(multiply(X1,multiply(multiply(X2,inverse(X1)),X0))),multiply(X0,commutator(X1,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f21,f67666])).
% 299.43/37.96 fof(f67668,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(X2,multiply(inverse(multiply(X1,multiply(X2,multiply(inverse(X1),X0)))),multiply(X0,commutator(X1,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f67667])).
% 299.43/37.96 fof(f67669,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(X2,multiply(multiply(inverse(X0),multiply(X1,inverse(multiply(X1,X2)))),multiply(X0,commutator(X1,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f566,f67668])).
% 299.43/37.96 fof(f67670,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(X2,multiply(inverse(X0),multiply(multiply(X1,inverse(multiply(X1,X2))),multiply(X0,commutator(X1,X2))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f67669])).
% 299.43/37.96 fof(f67671,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(X2,multiply(inverse(X0),multiply(X1,multiply(inverse(multiply(X1,X2)),multiply(X0,commutator(X1,X2)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f67670])).
% 299.43/37.96 fof(f67672,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(commutator(multiply(inverse(X1),X0),X2),commutator(X1,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f26088,f67671])).
% 299.43/37.96 fof(f67673,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(commutator(X1,X2),commutator(X2,multiply(inverse(X0),X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f64549,f67672])).
% 299.43/37.96 fof(f73709,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(multiply(X0,X1),inverse(X2)),commutator(X1,X2))=multiply(inverse(multiply(inverse(X2),multiply(X0,X1))),multiply(X0,multiply(inverse(X2),X1))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5249,f4236])).
% 299.43/37.96 fof(f73710,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(X1,X2)),commutator(X2,X0))=multiply(inverse(multiply(inverse(X0),multiply(X1,X2))),multiply(X1,multiply(inverse(X0),X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f73709])).
% 299.43/37.96 fof(f73711,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X1,multiply(X2,X0)))=multiply(inverse(multiply(inverse(X1),multiply(X2,X0))),multiply(X2,multiply(inverse(X1),X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f39179,f73710])).
% 299.43/37.96 fof(f73712,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X1,multiply(X2,X0)))=multiply(inverse(X0),multiply(commutator(X2,inverse(X1)),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4478,f73711])).
% 299.43/37.96 fof(f73713,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,X1),commutator(X1,multiply(X2,X0)))=multiply(inverse(X0),multiply(commutator(X1,X2),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f73712])).
% 299.43/37.96 fof(f74011,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(multiply(X0,multiply(X1,X2)),X3)),multiply(X1,multiply(X2,multiply(X0,X4))))=multiply(inverse(X3),multiply(commutator(multiply(X1,X2),X0),X4)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4236,f350])).
% 299.43/37.96 fof(f74012,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,multiply(multiply(X1,X2),X3))),multiply(X1,multiply(X2,multiply(X0,X4))))=multiply(inverse(X3),multiply(commutator(multiply(X1,X2),X0),X4)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f74011])).
% 299.43/37.96 fof(f74013,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (multiply(inverse(multiply(X0,multiply(X1,multiply(X2,X3)))),multiply(X1,multiply(X2,multiply(X0,X4))))=multiply(inverse(X3),multiply(commutator(multiply(X1,X2),X0),X4)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f74012])).
% 299.43/37.96 fof(f74935,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(inverse(X1),multiply(commutator(X2,inverse(X0)),X1)))),
% 299.43/37.96 inference(backward_demodulation,[status(thm)],[f73713,f67673])).
% 299.43/37.96 fof(f74936,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(X0,multiply(X1,multiply(X2,inverse(X1))))=multiply(inverse(X1),multiply(commutator(X0,X2),X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f74935])).
% 299.43/37.96 fof(f91360,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(multiply(X0,X1),X2),multiply(inverse(multiply(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(inverse(X1),X0)))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(multiply(X1,X1),X0),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(inverse(X1),X0)))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f55198,f4503])).
% 299.43/37.96 fof(f91361,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(multiply(X0,X1),commutator(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(multiply(X0,X1),X2))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(multiply(X1,X1),X0),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(inverse(X1),X0)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f61144,f91360])).
% 299.43/37.96 fof(f91362,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(multiply(X0,X1),commutator(multiply(X0,X1),multiply(inverse(X1),X0))),X2)=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(multiply(X1,X1),X0),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(inverse(X1),X0)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f21815,f91361])).
% 299.43/37.96 fof(f91363,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X0,X1),multiply(inverse(X1),X0)))),X2)=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(multiply(X1,X1),X0),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(inverse(X1),X0)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91362])).
% 299.43/37.96 fof(f91364,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X1,X1),X0))),X2)=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(multiply(X1,X1),X0),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),multiply(inverse(X1),X0))),multiply(inverse(X1),X0)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f55198,f91363])).
% 299.43/37.96 fof(f91365,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(multiply(X1,X0),multiply(commutator(multiply(X0,X0),X1),multiply(X2,multiply(inverse(multiply(multiply(X1,X0),multiply(inverse(X0),X1))),multiply(inverse(X0),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f42112,f91364])).
% 299.43/37.96 fof(f91366,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X1,multiply(X0,multiply(commutator(multiply(X0,X0),X1),multiply(X2,multiply(inverse(multiply(multiply(X1,X0),multiply(inverse(X0),X1))),multiply(inverse(X0),X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91365])).
% 299.43/37.96 fof(f91367,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(multiply(X1,X0),multiply(inverse(X0),X1))),multiply(inverse(X0),X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f42006,f91366])).
% 299.43/37.96 fof(f91368,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,multiply(multiply(X1,X0),multiply(inverse(X0),X1)))),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f350,f91367])).
% 299.43/37.96 fof(f91369,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(multiply(inverse(X1),multiply(X0,inverse(multiply(X0,multiply(X1,X0))))),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f566,f91368])).
% 299.43/37.96 fof(f91370,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(X1),multiply(multiply(X0,inverse(multiply(X0,multiply(X1,X0)))),X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91369])).
% 299.43/37.96 fof(f91371,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(X1),multiply(X0,multiply(inverse(multiply(X0,multiply(X1,X0))),X1)))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91370])).
% 299.43/37.96 fof(f91372,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(X1),multiply(inverse(multiply(X0,X1)),X1))))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f289,f91371])).
% 299.43/37.96 fof(f91373,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X1)),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f350,f91372])).
% 299.43/37.96 fof(f91374,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,multiply(X1,X1))),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91373])).
% 299.43/37.96 fof(f91562,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(multiply(X0,X1),X2),multiply(inverse(multiply(multiply(X0,X1),X1)),X1))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X1)),X1))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f5917,f4503])).
% 299.43/37.96 fof(f91563,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(multiply(X0,X1),X1)),X1))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X1)),X1))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91562])).
% 299.43/37.96 fof(f91564,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X1))),X1))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X1)),X1))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91563])).
% 299.43/37.96 fof(f91565,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X1))),X1))=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(multiply(X0,X1),X1)),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91564])).
% 299.43/37.96 fof(f91566,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X1))),X1))=multiply(inverse(X2),multiply(X0,multiply(X1,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,multiply(X1,X1))),X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f91565])).
% 299.43/37.96 fof(f91567,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,X2)),multiply(inverse(multiply(X0,multiply(X1,X1))),X1))=commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f91374,f91566])).
% 299.43/37.96 fof(f91776,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(inverse(multiply(X0,multiply(X0,X2))),multiply(X0,X2)))=multiply(inverse(X1),multiply(X0,multiply(commutator(X0,X2),multiply(X1,multiply(inverse(multiply(X0,multiply(X0,X2))),multiply(X0,X2)))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f925,f4503])).
% 299.43/37.96 fof(f91777,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,multiply(X0,X1))),multiply(X0,X2))=multiply(inverse(X2),multiply(X0,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,multiply(X0,X1))),multiply(X0,X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f61144,f91776])).
% 299.43/37.96 fof(f91778,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,multiply(X0,X1))),X2)=multiply(inverse(X2),multiply(X0,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,multiply(X0,X1))),multiply(X0,X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f21815,f91777])).
% 299.43/37.96 fof(f91779,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,X1)),X2)=multiply(inverse(X2),multiply(X0,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,multiply(X0,X1))),multiply(X0,X1)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f925,f91778])).
% 299.43/37.96 fof(f91780,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,X1)),X2)=multiply(inverse(X2),multiply(X0,multiply(commutator(X0,X1),multiply(X2,multiply(inverse(multiply(X0,X1)),X1))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f224,f91779])).
% 299.43/37.96 fof(f91781,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,commutator(X0,X1)),X2)=commutator(multiply(X0,X2),multiply(inverse(multiply(X0,X1)),X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4503,f91780])).
% 299.43/37.96 fof(f92747,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(multiply(X0,X1),X2),multiply(inverse(multiply(multiply(X0,X1),X3)),X3))=multiply(inverse(X2),multiply(multiply(X0,X1),multiply(commutator(multiply(X0,X1),X3),multiply(X2,multiply(inverse(multiply(X0,multiply(X1,X3))),X3))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f9,f4503])).
% 299.43/37.96 fof(f92748,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(multiply(X0,X1),commutator(multiply(X0,X1),X2)),X3)=multiply(inverse(X3),multiply(multiply(X0,X1),multiply(commutator(multiply(X0,X1),X2),multiply(X3,multiply(inverse(multiply(X0,multiply(X1,X2))),X2))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f91781,f92747])).
% 299.43/37.96 fof(f92749,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2))),X3)=multiply(inverse(X3),multiply(multiply(X0,X1),multiply(commutator(multiply(X0,X1),X2),multiply(X3,multiply(inverse(multiply(X0,multiply(X1,X2))),X2))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f92748])).
% 299.43/37.96 fof(f92750,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2))),X3)=multiply(inverse(X3),multiply(X0,multiply(X1,multiply(commutator(multiply(X0,X1),X2),multiply(X3,multiply(inverse(multiply(X0,multiply(X1,X2))),X2)))))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f92749])).
% 299.43/37.96 fof(f92751,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2))),X3)=commutator(multiply(X0,multiply(X1,X3)),multiply(inverse(multiply(X0,multiply(X1,X2))),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f26466,f92750])).
% 299.43/37.96 fof(f94474,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X0,X1),X1))),X2)=commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2))),
% 299.43/37.96 inference(backward_demodulation,[status(thm)],[f92751,f91567])).
% 299.43/37.96 fof(f94475,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(inverse(X0),multiply(X1,multiply(X0,X0))),X2)=commutator(multiply(X1,multiply(X0,commutator(X1,X0))),X2))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f1480,f94474])).
% 299.43/37.96 fof(f98103,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(multiply(X0,X0),X1),multiply(X2,identity))=multiply(X2,commutator(multiply(X0,X0),X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f42078,f824])).
% 299.43/37.96 fof(f98104,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(multiply(X0,X0),X1),X2)=multiply(X2,commutator(multiply(X0,X0),X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f24,f98103])).
% 299.43/37.96 fof(f99013,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(commutator(X0,multiply(X1,X1)),X2)=multiply(X2,commutator(multiply(X0,X0),X1)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f42020,f98104])).
% 299.43/37.96 fof(f99149,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (multiply(commutator(multiply(X0,X0),X1),multiply(X2,X3))=multiply(X2,multiply(X3,commutator(multiply(X0,X0),X1))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f9,f98104])).
% 299.43/37.96 fof(f99747,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(multiply(X1,X1),X2),X3))=multiply(inverse(multiply(multiply(X3,X0),commutator(multiply(X1,X1),X2))),multiply(X0,multiply(commutator(multiply(X1,X1),X2),X3))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f98104,f736])).
% 299.43/37.96 fof(f99748,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(multiply(X1,X1),X2),X3))=multiply(multiply(commutator(X2,multiply(X1,X1)),inverse(multiply(X3,X0))),multiply(X0,multiply(commutator(multiply(X1,X1),X2),X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f853,f99747])).
% 299.43/37.96 fof(f99749,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(multiply(X1,X1),X2),X3))=multiply(commutator(X2,multiply(X1,X1)),multiply(inverse(multiply(X3,X0)),multiply(X0,multiply(commutator(multiply(X1,X1),X2),X3)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f99748])).
% 299.43/37.96 fof(f99750,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(multiply(X1,X1),X2),X3))=commutator(multiply(X0,commutator(multiply(X1,X1),X2)),X3))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f30140,f99749])).
% 299.43/37.96 fof(f99809,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(multiply(X1,X1),X2)),multiply(X3,commutator(X0,commutator(multiply(X1,X1),X2))))=commutator(multiply(commutator(multiply(X1,X1),X2),X0),X3))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f98104,f10661])).
% 299.43/37.96 fof(f99810,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,commutator(multiply(X1,X1),X2)),X3)=commutator(multiply(commutator(multiply(X1,X1),X2),X0),X3))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f10660,f99809])).
% 299.43/37.96 fof(f99811,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(multiply(X1,X1),X2),X3))=commutator(multiply(commutator(multiply(X1,X1),X2),X0),X3))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99750,f99810])).
% 299.43/37.96 fof(f99822,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X2,X2),X3))),X4)=multiply(inverse(multiply(X4,multiply(X0,multiply(X1,commutator(multiply(X2,X2),X3))))),multiply(X0,multiply(X1,multiply(X4,commutator(multiply(X2,X2),X3))))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f98104,f3929])).
% 299.43/37.96 fof(f99823,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X2,X2),X3))),X4)=multiply(inverse(commutator(multiply(X2,X2),X3)),multiply(commutator(multiply(X0,X1),X4),commutator(multiply(X2,X2),X3))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f74013,f99822])).
% 299.43/37.96 fof(f99824,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X2,X2),X3))),X4)=multiply(commutator(multiply(X2,X2),X3),multiply(inverse(commutator(multiply(X2,X2),X3)),commutator(multiply(X0,X1),X4))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99149,f99823])).
% 299.43/37.96 fof(f99825,plain,(
% 299.43/37.96 ![X0,X1,X2,X3,X4]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X2,X2),X3))),X4)=commutator(multiply(X0,X1),X4))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f36,f99824])).
% 299.43/37.96 fof(f99876,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X1,commutator(multiply(X2,X2),X3))),X1)=commutator(multiply(X0,commutator(multiply(X2,X2),X3)),X1))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f98104,f5192])).
% 299.43/37.96 fof(f99877,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,X1),X1)=commutator(multiply(X0,commutator(multiply(X2,X2),X3)),X1))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99825,f99876])).
% 299.43/37.96 fof(f99878,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,X1)=commutator(multiply(X0,commutator(multiply(X2,X2),X3)),X1))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5917,f99877])).
% 299.43/37.96 fof(f99879,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,X1)=commutator(X0,multiply(commutator(multiply(X2,X2),X3),X1)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99750,f99878])).
% 299.43/37.96 fof(f99976,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(inverse(commutator(multiply(X1,X1),X2)),X3))=commutator(multiply(commutator(multiply(X1,X1),X2),inverse(X3)),X0))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f98104,f5278])).
% 299.43/37.96 fof(f99977,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,multiply(X2,X2)),X3))=commutator(multiply(commutator(multiply(X2,X2),X1),inverse(X3)),X0))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f822,f99976])).
% 299.43/37.96 fof(f99978,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,multiply(X2,X2)),X3))=commutator(inverse(X3),multiply(commutator(multiply(X2,X2),X1),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99811,f99977])).
% 299.43/37.96 fof(f99979,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,multiply(X2,X2)),X3))=commutator(multiply(commutator(multiply(X2,X2),X1),X0),X3))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f5283,f99978])).
% 299.43/37.96 fof(f99980,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,multiply(X2,X2)),X3))=commutator(X0,multiply(commutator(multiply(X2,X2),X1),X3)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99811,f99979])).
% 299.43/37.96 fof(f99981,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(X0,multiply(commutator(X1,multiply(X2,X2)),X3))=commutator(X0,X3))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99879,f99980])).
% 299.43/37.96 fof(f129608,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X1,inverse(X2)))=commutator(multiply(X0,X2),multiply(X1,inverse(X2))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f39,f24026])).
% 299.43/37.96 fof(f130963,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X1,multiply(X0,X2)),multiply(multiply(X0,X2),inverse(X0))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f6522,f24393])).
% 299.43/37.96 fof(f130964,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X1,X0),multiply(multiply(X0,X2),inverse(X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f129608,f130963])).
% 299.43/37.96 fof(f130965,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X1,X0),multiply(X0,multiply(X2,inverse(X0)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f130964])).
% 299.43/37.96 fof(f130966,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=multiply(inverse(X0),multiply(commutator(multiply(X1,X0),X2),X0)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f74936,f130965])).
% 299.43/37.96 fof(f132058,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X1,multiply(X2,inverse(X1))))=commutator(multiply(X2,commutator(X1,X2)),multiply(multiply(X2,inverse(X1)),inverse(X0))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4726,f24393])).
% 299.43/37.96 fof(f132059,plain,(
% 299.43/37.96 ![X0,X1,X2]: (multiply(inverse(X0),multiply(commutator(multiply(X1,X0),X2),X0))=commutator(multiply(X2,commutator(X0,X2)),multiply(multiply(X2,inverse(X0)),inverse(X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f74936,f132058])).
% 299.43/37.96 fof(f132060,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X2,commutator(X0,X2)),multiply(multiply(X2,inverse(X0)),inverse(X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f130966,f132059])).
% 299.43/37.96 fof(f132061,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X2,commutator(X0,X2)),multiply(X2,multiply(inverse(X0),inverse(X1)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f132060])).
% 299.43/37.96 fof(f132062,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X2,commutator(X0,X2)),multiply(inverse(X0),inverse(X1))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f13940,f132061])).
% 299.43/37.96 fof(f132063,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X2,commutator(X0,X2)),inverse(multiply(X1,X0))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f149,f132062])).
% 299.43/37.96 fof(f132064,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X1,X0),multiply(X2,commutator(X0,X2))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f4720,f132063])).
% 299.43/37.96 fof(f134280,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(multiply(X0,X0),X1),X2)=commutator(multiply(X1,multiply(X0,X0)),multiply(commutator(X0,multiply(X2,X2)),X2)))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f99013,f132064])).
% 299.43/37.96 fof(f134281,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X0,X1)),X2)=commutator(multiply(X1,multiply(X0,X0)),multiply(commutator(X0,multiply(X2,X2)),X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f134280])).
% 299.43/37.96 fof(f134282,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X0,X1)),X2)=commutator(multiply(X1,multiply(X0,X0)),X2))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f99981,f134281])).
% 299.43/37.96 fof(f134636,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,X0))=commutator(multiply(X1,X0),multiply(multiply(X2,X0),commutator(X0,X2))))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f4614,f132064])).
% 299.43/37.96 fof(f134637,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,X0))=commutator(multiply(X1,X0),multiply(X2,multiply(X0,commutator(X0,X2)))))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f9,f134636])).
% 299.43/37.96 fof(f134638,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X2,X0))=commutator(multiply(X1,X0),multiply(X0,X2)))),
% 299.43/37.96 inference(forward_demodulation,[status(thm)],[f824,f134637])).
% 299.43/37.96 fof(f135742,plain,(
% 299.43/37.96 ![X0,X1,X2,X3]: (commutator(multiply(X0,multiply(X0,multiply(X1,X2))),X3)=commutator(multiply(X1,multiply(X2,multiply(X0,X0))),X3))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f9,f134282])).
% 299.43/37.96 fof(f137290,plain,(
% 299.43/37.96 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(multiply(X1,X2),X0))=commutator(multiply(X1,X0),X2))),
% 299.43/37.96 inference(paramodulation,[status(thm)],[f6522,f134638])).
% 299.43/37.96 fof(f137291,plai% SZS status Timeout for theBenchmark.p: Process timeout. CPU time limit exceeded (SIGXCPU)
% 300.20/38.07 n,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X1,multiply(X2,X0)))=commutator(multiply(X1,X0),X2))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f9,f137290])).
% 300.20/38.07 fof(f141442,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(multiply(X0,commutator(X0,X1)),multiply(X2,X1)))=commutator(multiply(multiply(X0,commutator(X0,X1)),X1),X2))),
% 300.20/38.07 inference(paramodulation,[status(thm)],[f824,f137291])).
% 300.20/38.07 fof(f141443,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X0,multiply(commutator(X0,X1),multiply(X2,X1))))=commutator(multiply(multiply(X0,commutator(X0,X1)),X1),X2))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f9,f141442])).
% 300.20/38.07 fof(f141444,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X0,multiply(X2,X1)))=commutator(multiply(multiply(X0,commutator(X0,X1)),X1),X2))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f23765,f141443])).
% 300.20/38.07 fof(f141445,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X0,multiply(X2,X1)))=commutator(multiply(X0,multiply(commutator(X0,X1),X1)),X2))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f9,f141444])).
% 300.20/38.07 fof(f141446,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,X1),multiply(X0,multiply(X2,X1)))=commutator(multiply(X0,multiply(X1,commutator(X0,X1))),X2))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f5296,f141445])).
% 300.20/38.07 fof(f142718,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(inverse(X0),multiply(X1,multiply(X0,X0))),X2)=commutator(multiply(X1,X0),multiply(X1,multiply(X2,X0))))),
% 300.20/38.07 inference(backward_demodulation,[status(thm)],[f141446,f94475])).
% 300.20/38.07 fof(f142719,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,multiply(X0,multiply(inverse(X0),X1))),X2)=commutator(multiply(X1,X0),multiply(X1,multiply(X2,X0))))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f135742,f142718])).
% 300.20/38.07 fof(f142720,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,multiply(commutator(X0,X0),X1)),X2)=commutator(multiply(X1,X0),multiply(X1,multiply(X2,X0))))),
% 300.20/38.07 inference(forward_demodulation,[status(thm)],[f14821,f142719])).
% 300.20/38.07 fof(f142721,plain,(
% 300.20/38.07 ![X0,X1,X2]: (commutator(multiply(X0,multiply(identity,X1)),X2)=commutator(multiply(X1,X0),multiply(X1,multiply(X2,X0))))),
% 300.20/38.08 inference(forward_demodulation,[status(thm)],[f701,f142720])).
% 300.20/38.08 fof(f142722,plain,(
% 300.20/38.08 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=commutator(multiply(X1,X0),multiply(X1,multiply(X2,X0))))),
% 300.20/38.08 inference(forward_demodulation,[status(thm)],[f7,f142721])).
% 300.20/38.08 fof(f142796,plain,(
% 300.20/38.08 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),commutator(multiply(X2,X1),inverse(X0))))),
% 300.20/38.08 inference(backward_demodulation,[status(thm)],[f142722,f65722])).
% 300.20/38.08 fof(f142797,plain,(
% 300.20/38.08 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=multiply(commutator(multiply(X2,X1),X0),commutator(X0,multiply(X2,X1))))),
% 300.20/38.08 inference(forward_demodulation,[status(thm)],[f4720,f142796])).
% 300.20/38.08 fof(f142798,plain,(
% 300.20/38.08 ![X0,X1,X2]: (commutator(X0,commutator(X1,X2))=identity)),
% 300.20/38.08 inference(forward_demodulation,[status(thm)],[f4413,f142797])).
% 300.20/38.08 fof(f147261,plain,(
% 300.20/38.08 ![X0,X1,X2]: (multiply(commutator(X0,X1),multiply(X2,identity))=multiply(X2,commutator(X0,X1)))),
% 300.20/38.08 inference(backward_demodulation,[status(thm)],[f142798,f37887])).
% 300.20/38.08 fof(f147262,plain,(
% 300.20/38.08 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(X2,commutator(X0,X1)))),
% 300.20/38.08 inference(forward_demodulation,[status(thm)],[f24,f147261])).
% 300.20/38.08 fof(f147263,plain,(
% 300.20/38.08 $false),
% 300.20/38.08 inference(backward_subsumption_resolution,[status(thm)],[f12,f147262])).
% 300.20/38.08 % SZS output end CNFRefutation for theBenchmark.p
%------------------------------------------------------------------------------