%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : 600s
% DateTime : Thu Jul 14 23:45:14 EDT 2022
% Result : Unsatisfiable 106.22s 106.40s
% Output : CNFRefutation 106.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
multiply(add(X,Y),Y) = Y ).
cnf(multiply_add_property,axiom,
multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) ).
cnf(additive_inverse,axiom,
add(X,inverse(X)) = n1 ).
cnf(pixley_defn,axiom,
pixley(X,Y,Z) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) ).
cnf(pixley1,axiom,
pixley(X,X,Y) = Y ).
cnf(pixley2,axiom,
pixley(X,Y,Y) = X ).
cnf(pixley3,axiom,
pixley(X,Y,X) = X ).
cnf(prove_add_multiply_property,negated_conjecture,
add(a,multiply(b,c)) != multiply(add(a,b),add(a,c)) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
| add(multiply(Y,X),multiply(Z,X)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,X),multiply(Z,X))))]]) ).
cnf(refute_0_4,plain,
add(multiply(Y,X),multiply(Z,X)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) )],[multiply_add_property,refute_0_3]) ).
cnf(refute_0_5,plain,
add(multiply(X,Z),multiply(inverse(Y),Z)) = multiply(Z,add(X,inverse(Y))),
inference(subst,[],[refute_0_4:[bind(X,$fot(Z)),bind(Y,$fot(X)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_6,plain,
add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))))]]) ).
cnf(refute_0_7,plain,
( add(multiply(X,Z),multiply(inverse(Y),Z)) != multiply(Z,add(X,inverse(Y)))
| add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
| add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) ),[1,1],$fot(multiply(Z,add(X,inverse(Y))))]]) ).
cnf(refute_0_8,plain,
( add(multiply(X,Z),multiply(inverse(Y),Z)) != multiply(Z,add(X,inverse(Y)))
| add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(inverse(Y),Z)),multiply(Z,add(X,inverse(Y)))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) != add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))
| pixley(X,Y,Z) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
| pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,Y,Z),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) ),[1],$fot(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))))]]) ).
cnf(refute_0_11,plain,
( pixley(X,Y,Z) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
| pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(X,Y,Z),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) )],[pixley_defn,refute_0_11]) ).
cnf(refute_0_13,plain,
pixley(X,inverse(X_262),Z) = add(multiply(X,inverse(inverse(X_262))),multiply(Z,add(X,inverse(inverse(X_262))))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(inverse(X_262)))]]) ).
cnf(refute_0_14,plain,
pixley(inverse(inverse(Y)),Y,Y) = inverse(inverse(Y)),
inference(subst,[],[pixley2:[bind(X,$fot(inverse(inverse(Y))))]]) ).
cnf(refute_0_15,plain,
pixley(inverse(inverse(Y)),Y,Z) = add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,add(inverse(inverse(Y)),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(inverse(Y))))]]) ).
cnf(refute_0_16,plain,
pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88)))))),
inference(subst,[],[refute_0_12:[bind(X,$fot(n1)),bind(Y,$fot(add(X_87,inverse(X_88)))),bind(Z,$fot(inverse(X_88)))]]) ).
cnf(refute_0_17,plain,
multiply(X_21,add(add(X,X_21),X_23)) = add(multiply(add(X,X_21),X_21),multiply(X_23,X_21)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_21)),bind(Y,$fot(add(X,X_21))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_18,plain,
multiply(add(X,X_21),X_21) = X_21,
inference(subst,[],[multiply_add:[bind(Y,$fot(X_21))]]) ).
cnf(refute_0_19,plain,
( multiply(X_21,add(add(X,X_21),X_23)) != add(multiply(add(X,X_21),X_21),multiply(X_23,X_21))
| multiply(add(X,X_21),X_21) != X_21
| multiply(X_21,add(add(X,X_21),X_23)) = add(X_21,multiply(X_23,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,add(add(X,X_21),X_23)),add(multiply(add(X,X_21),X_21),multiply(X_23,X_21))) ),[1,0],$fot(X_21)]]) ).
cnf(refute_0_20,plain,
( multiply(X_21,add(add(X,X_21),X_23)) != add(multiply(add(X,X_21),X_21),multiply(X_23,X_21))
| multiply(X_21,add(add(X,X_21),X_23)) = add(X_21,multiply(X_23,X_21)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_21),X_21),X_21) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X_21,add(add(X,X_21),X_23)) = add(X_21,multiply(X_23,X_21)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(add(X,X_21),X_23)),add(multiply(add(X,X_21),X_21),multiply(X_23,X_21))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(X_38,add(add(X_37,X_38),inverse(add(X_37,X_38)))) = add(X_38,multiply(inverse(add(X_37,X_38)),X_38)),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_37)),bind(X_21,$fot(X_38)),bind(X_23,$fot(inverse(add(X_37,X_38))))]]) ).
cnf(refute_0_23,plain,
add(add(X_37,X_38),inverse(add(X_37,X_38))) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(add(X_37,X_38)))]]) ).
cnf(refute_0_24,plain,
( multiply(X_38,add(add(X_37,X_38),inverse(add(X_37,X_38)))) != add(X_38,multiply(inverse(add(X_37,X_38)),X_38))
| add(add(X_37,X_38),inverse(add(X_37,X_38))) != n1
| multiply(X_38,n1) = add(X_38,multiply(inverse(add(X_37,X_38)),X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_38,add(add(X_37,X_38),inverse(add(X_37,X_38)))),add(X_38,multiply(inverse(add(X_37,X_38)),X_38))) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_25,plain,
( multiply(X_38,add(add(X_37,X_38),inverse(add(X_37,X_38)))) != add(X_38,multiply(inverse(add(X_37,X_38)),X_38))
| multiply(X_38,n1) = add(X_38,multiply(inverse(add(X_37,X_38)),X_38)) ),
inference(resolve,[$cnf( $equal(add(add(X_37,X_38),inverse(add(X_37,X_38))),n1) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(X_38,n1) = add(X_38,multiply(inverse(add(X_37,X_38)),X_38)),
inference(resolve,[$cnf( $equal(multiply(X_38,add(add(X_37,X_38),inverse(add(X_37,X_38)))),add(X_38,multiply(inverse(add(X_37,X_38)),X_38))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(inverse(X_85),n1) = add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))),
inference(subst,[],[refute_0_26:[bind(X_38,$fot(inverse(X_85)))]]) ).
cnf(refute_0_28,plain,
multiply(inverse(X),add(n1,X_23)) = add(multiply(n1,inverse(X)),multiply(X_23,inverse(X))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X))),bind(Y,$fot(n1)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_29,plain,
multiply(add(X,inverse(X)),inverse(X)) = inverse(X),
inference(subst,[],[multiply_add:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_30,plain,
( multiply(add(X,inverse(X)),inverse(X)) != inverse(X)
| add(X,inverse(X)) != n1
| multiply(n1,inverse(X)) = inverse(X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,inverse(X)),inverse(X)),inverse(X)) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_31,plain,
( multiply(add(X,inverse(X)),inverse(X)) != inverse(X)
| multiply(n1,inverse(X)) = inverse(X) ),
inference(resolve,[$cnf( $equal(add(X,inverse(X)),n1) )],[additive_inverse,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(n1,inverse(X)) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X)),inverse(X)),inverse(X)) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( multiply(inverse(X),add(n1,X_23)) != add(multiply(n1,inverse(X)),multiply(X_23,inverse(X)))
| multiply(n1,inverse(X)) != inverse(X)
| multiply(inverse(X),add(n1,X_23)) = add(inverse(X),multiply(X_23,inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(n1,X_23)),add(multiply(n1,inverse(X)),multiply(X_23,inverse(X)))) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_34,plain,
( multiply(inverse(X),add(n1,X_23)) != add(multiply(n1,inverse(X)),multiply(X_23,inverse(X)))
| multiply(inverse(X),add(n1,X_23)) = add(inverse(X),multiply(X_23,inverse(X))) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(inverse(X),add(n1,X_23)) = add(inverse(X),multiply(X_23,inverse(X))),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_23)),add(multiply(n1,inverse(X)),multiply(X_23,inverse(X)))) )],[refute_0_28,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))) = add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))),
inference(subst,[],[refute_0_35:[bind(X,$fot(X_85)),bind(X_23,$fot(inverse(add(X_37,inverse(X_85)))))]]) ).
cnf(refute_0_37,plain,
( multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))) != add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85)))
| add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))) = multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))))),bind(Y0,$fot(add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85)))))]]) ).
cnf(refute_0_38,plain,
add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))) = multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))),add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85)))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiply(inverse(X_85),n1) != add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85)))
| add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))) != multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85)))))
| multiply(inverse(X_85),n1) = multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_85),n1),multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85)))))) ),[0],$fot(add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))))]]) ).
cnf(refute_0_40,plain,
( multiply(inverse(X_85),n1) != add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85)))
| multiply(inverse(X_85),n1) = multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85))),multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85)))))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(inverse(X_85),n1) = multiply(inverse(X_85),add(n1,inverse(add(X_37,inverse(X_85))))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),n1),add(inverse(X_85),multiply(inverse(add(X_37,inverse(X_85))),inverse(X_85)))) )],[refute_0_27,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(inverse(X_88),n1) = multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))),
inference(subst,[],[refute_0_41:[bind(X_37,$fot(X_87)),bind(X_85,$fot(X_88))]]) ).
cnf(refute_0_43,plain,
( multiply(inverse(X_88),n1) != multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88)))))
| multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))) = multiply(inverse(X_88),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_88),n1))),bind(Y0,$fot(multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88)))))))]]) ).
cnf(refute_0_44,plain,
multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))) = multiply(inverse(X_88),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(X_88),n1),multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88)))))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))) != multiply(inverse(X_88),n1)
| pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) != add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))))
| pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)),add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))))) ),[1,1],$fot(multiply(inverse(X_88),n1))]]) ).
cnf(refute_0_46,plain,
( pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) != add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))))
| pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))),multiply(inverse(X_88),n1)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)),add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),add(n1,inverse(add(X_87,inverse(X_88))))))) )],[refute_0_16,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(n1,inverse(add(X_87,inverse(X_88)))) = inverse(add(X_87,inverse(X_88))),
inference(subst,[],[refute_0_32:[bind(X,$fot(add(X_87,inverse(X_88))))]]) ).
cnf(refute_0_49,plain,
add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) = add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)),
introduced(tautology,[refl,[$fot(add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)))]]) ).
cnf(refute_0_50,plain,
( multiply(n1,inverse(add(X_87,inverse(X_88)))) != inverse(add(X_87,inverse(X_88)))
| add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) != add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))
| add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) = add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)),add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))) ),[1,0],$fot(inverse(add(X_87,inverse(X_88))))]]) ).
cnf(refute_0_51,plain,
( multiply(n1,inverse(add(X_87,inverse(X_88)))) != inverse(add(X_87,inverse(X_88)))
| add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) = add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)),add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) = add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(add(X_87,inverse(X_88)))),inverse(add(X_87,inverse(X_88)))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)) != add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1))
| pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) != add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))
| pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)),add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))) ),[1],$fot(add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)))]]) ).
cnf(refute_0_54,plain,
( pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) != add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))
| pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1)),add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)) = add(inverse(add(X_87,inverse(X_88))),multiply(inverse(X_88),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,add(X_87,inverse(X_88)),inverse(X_88)),add(multiply(n1,inverse(add(X_87,inverse(X_88)))),multiply(inverse(X_88),n1))) )],[refute_0_47,refute_0_54]) ).
cnf(refute_0_56,plain,
pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = add(inverse(add(multiply(X_22,inverse(X_107)),inverse(X_107))),multiply(inverse(X_107),n1)),
inference(subst,[],[refute_0_55:[bind(X_87,$fot(multiply(X_22,inverse(X_107)))),bind(X_88,$fot(X_107))]]) ).
cnf(refute_0_57,plain,
multiply(inverse(X),add(X_22,n1)) = add(multiply(X_22,inverse(X)),multiply(n1,inverse(X))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_22)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(X),add(X_22,n1)) != add(multiply(X_22,inverse(X)),multiply(n1,inverse(X)))
| multiply(n1,inverse(X)) != inverse(X)
| multiply(inverse(X),add(X_22,n1)) = add(multiply(X_22,inverse(X)),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(X_22,n1)),add(multiply(X_22,inverse(X)),multiply(n1,inverse(X)))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_59,plain,
( multiply(inverse(X),add(X_22,n1)) != add(multiply(X_22,inverse(X)),multiply(n1,inverse(X)))
| multiply(inverse(X),add(X_22,n1)) = add(multiply(X_22,inverse(X)),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_32,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(X),add(X_22,n1)) = add(multiply(X_22,inverse(X)),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_22,n1)),add(multiply(X_22,inverse(X)),multiply(n1,inverse(X)))) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(inverse(X_107),add(X_22,n1)) = add(multiply(X_22,inverse(X_107)),inverse(X_107)),
inference(subst,[],[refute_0_60:[bind(X,$fot(X_107))]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(X_107),add(X_22,n1)) != add(multiply(X_22,inverse(X_107)),inverse(X_107))
| add(multiply(X_22,inverse(X_107)),inverse(X_107)) = multiply(inverse(X_107),add(X_22,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_107),add(X_22,n1)))),bind(Y0,$fot(add(multiply(X_22,inverse(X_107)),inverse(X_107))))]]) ).
cnf(refute_0_63,plain,
add(multiply(X_22,inverse(X_107)),inverse(X_107)) = multiply(inverse(X_107),add(X_22,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),add(X_22,n1)),add(multiply(X_22,inverse(X_107)),inverse(X_107))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
( add(multiply(X_22,inverse(X_107)),inverse(X_107)) != multiply(inverse(X_107),add(X_22,n1))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) != add(inverse(add(multiply(X_22,inverse(X_107)),inverse(X_107))),multiply(inverse(X_107),n1))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),add(inverse(add(multiply(X_22,inverse(X_107)),inverse(X_107))),multiply(inverse(X_107),n1))) ),[1,0,0],$fot(multiply(inverse(X_107),add(X_22,n1)))]]) ).
cnf(refute_0_65,plain,
( pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) != add(inverse(add(multiply(X_22,inverse(X_107)),inverse(X_107))),multiply(inverse(X_107),n1))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_107)),inverse(X_107)),multiply(inverse(X_107),add(X_22,n1))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),add(inverse(add(multiply(X_22,inverse(X_107)),inverse(X_107))),multiply(inverse(X_107),n1))) )],[refute_0_56,refute_0_65]) ).
cnf(refute_0_67,plain,
pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),
introduced(tautology,[refl,[$fot(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)))]]) ).
cnf(refute_0_68,plain,
( add(multiply(X_22,inverse(X_107)),inverse(X_107)) != multiply(inverse(X_107),add(X_22,n1))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) != pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107))) ),[1,1],$fot(multiply(inverse(X_107),add(X_22,n1)))]]) ).
cnf(refute_0_69,plain,
( add(multiply(X_22,inverse(X_107)),inverse(X_107)) != multiply(inverse(X_107),add(X_22,n1))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_107)),inverse(X_107)),multiply(inverse(X_107),add(X_22,n1))) )],[refute_0_63,refute_0_69]) ).
cnf(refute_0_71,plain,
( pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) != pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107))
| pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) ),[0],$fot(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)))]]) ).
cnf(refute_0_72,plain,
( pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,add(multiply(X_22,inverse(X_107)),inverse(X_107)),inverse(X_107)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) )],[refute_0_66,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))),
inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_10,inverse(X_11)))),bind(Y,$fot(multiply(X_12,add(X_10,inverse(X_11)))))]]) ).
cnf(refute_0_75,plain,
pixley(X_10,X_11,X_12) = add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_76,plain,
( pixley(X_10,X_11,X_12) != add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))
| add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) = pixley(X_10,X_11,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_10,X_11,X_12))),bind(Y0,$fot(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))))]]) ).
cnf(refute_0_77,plain,
add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) = pixley(X_10,X_11,X_12),
inference(resolve,[$cnf( $equal(pixley(X_10,X_11,X_12),add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) != multiply(X_12,add(X_10,inverse(X_11)))
| add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) != pixley(X_10,X_11,X_12)
| multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) ),[0,0],$fot(pixley(X_10,X_11,X_12))]]) ).
cnf(refute_0_79,plain,
( multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) != multiply(X_12,add(X_10,inverse(X_11)))
| multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),pixley(X_10,X_11,X_12)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) = multiply(X_55,add(inverse(X_54),inverse(X_54))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(inverse(X_54))),bind(X_11,$fot(X_54)),bind(X_12,$fot(X_55))]]) ).
cnf(refute_0_82,plain,
multiply(X_21,add(X_22,add(X,X_21))) = add(multiply(X_22,X_21),multiply(add(X,X_21),X_21)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_21)),bind(Y,$fot(X_22)),bind(Z,$fot(add(X,X_21)))]]) ).
cnf(refute_0_83,plain,
( multiply(X_21,add(X_22,add(X,X_21))) != add(multiply(X_22,X_21),multiply(add(X,X_21),X_21))
| multiply(add(X,X_21),X_21) != X_21
| multiply(X_21,add(X_22,add(X,X_21))) = add(multiply(X_22,X_21),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,add(X_22,add(X,X_21))),add(multiply(X_22,X_21),multiply(add(X,X_21),X_21))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_84,plain,
( multiply(X_21,add(X_22,add(X,X_21))) != add(multiply(X_22,X_21),multiply(add(X,X_21),X_21))
| multiply(X_21,add(X_22,add(X,X_21))) = add(multiply(X_22,X_21),X_21) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_21),X_21),X_21) )],[refute_0_18,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(X_21,add(X_22,add(X,X_21))) = add(multiply(X_22,X_21),X_21),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X_22,add(X,X_21))),add(multiply(X_22,X_21),multiply(add(X,X_21),X_21))) )],[refute_0_82,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = add(multiply(n1,inverse(X)),inverse(X)),
inference(subst,[],[refute_0_85:[bind(X,$fot(X_29)),bind(X_21,$fot(inverse(X))),bind(X_22,$fot(n1))]]) ).
cnf(refute_0_87,plain,
( multiply(inverse(X),add(n1,add(X_29,inverse(X)))) != add(multiply(n1,inverse(X)),inverse(X))
| multiply(n1,inverse(X)) != inverse(X)
| multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = add(inverse(X),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_29,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_88,plain,
( multiply(inverse(X),add(n1,add(X_29,inverse(X)))) != add(multiply(n1,inverse(X)),inverse(X))
| multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = add(inverse(X),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_32,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = add(inverse(X),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_29,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) )],[refute_0_86,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiply(inverse(X),add(X_22,n1)) != add(multiply(X_22,inverse(X)),inverse(X))
| add(multiply(X_22,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_22,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X),add(X_22,n1)))),bind(Y0,$fot(add(multiply(X_22,inverse(X)),inverse(X))))]]) ).
cnf(refute_0_91,plain,
add(multiply(X_22,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_22,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_22,n1)),add(multiply(X_22,inverse(X)),inverse(X))) )],[refute_0_60,refute_0_90]) ).
cnf(refute_0_92,plain,
add(multiply(n1,inverse(X)),inverse(X)) = multiply(inverse(X),add(n1,n1)),
inference(subst,[],[refute_0_91:[bind(X_22,$fot(n1))]]) ).
cnf(refute_0_93,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_94,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_93]) ).
cnf(refute_0_95,plain,
( multiply(inverse(X),add(n1,add(X_29,inverse(X)))) != add(multiply(n1,inverse(X)),inverse(X))
| add(multiply(n1,inverse(X)),inverse(X)) != multiply(inverse(X),add(n1,n1))
| multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = multiply(inverse(X),add(n1,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X),add(n1,add(X_29,inverse(X)))))),bind(Y0,$fot(add(multiply(n1,inverse(X)),inverse(X)))),bind(Z0,$fot(multiply(inverse(X),add(n1,n1))))]]) ).
cnf(refute_0_96,plain,
( add(multiply(n1,inverse(X)),inverse(X)) != multiply(inverse(X),add(n1,n1))
| multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = multiply(inverse(X),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_29,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) )],[refute_0_86,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(inverse(X),add(n1,add(X_29,inverse(X)))) = multiply(inverse(X),add(n1,n1)),
inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(X)),inverse(X)),multiply(inverse(X),add(n1,n1))) )],[refute_0_92,refute_0_96]) ).
cnf(refute_0_98,plain,
( multiply(inverse(X),add(n1,add(X_29,inverse(X)))) != multiply(inverse(X),add(n1,n1))
| multiply(inverse(X),add(n1,add(X_29,inverse(X)))) != add(inverse(X),inverse(X))
| multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_29,inverse(X)))),add(inverse(X),inverse(X))) ),[0],$fot(multiply(inverse(X),add(n1,n1)))]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(X),add(n1,add(X_29,inverse(X)))) != add(inverse(X),inverse(X))
| multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_29,inverse(X)))),multiply(inverse(X),add(n1,n1))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_29,inverse(X)))),add(inverse(X),inverse(X))) )],[refute_0_89,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(inverse(X_47),add(n1,n1)) = add(inverse(X_47),inverse(X_47)),
inference(subst,[],[refute_0_100:[bind(X,$fot(X_47))]]) ).
cnf(refute_0_102,plain,
pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_11)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_103,plain,
add(X_11,inverse(X_11)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_104,plain,
( add(X_11,inverse(X_11)) != n1
| pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))
| pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))) ),[1,1,1],$fot(n1)]]) ).
cnf(refute_0_105,plain,
( pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))
| pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
inference(resolve,[$cnf( $equal(add(X_11,inverse(X_11)),n1) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),
inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
pixley(X_11,X_11,X_12) = X_12,
inference(subst,[],[pixley1:[bind(X,$fot(X_11)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_108,plain,
( pixley(X_11,X_11,X_12) != X_12
| pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
| X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) ),[0],$fot(X_12)]]) ).
cnf(refute_0_109,plain,
( pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
| X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),X_12) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),
inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
add(X,n1) = add(multiply(X_13,inverse(X_13)),multiply(add(X,n1),n1)),
inference(subst,[],[refute_0_110:[bind(X_11,$fot(X_13)),bind(X_12,$fot(add(X,n1)))]]) ).
cnf(refute_0_112,plain,
multiply(add(X,n1),n1) = n1,
inference(subst,[],[multiply_add:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_113,plain,
( multiply(add(X,n1),n1) != n1
| add(X,n1) != add(multiply(X_13,inverse(X_13)),multiply(add(X,n1),n1))
| add(X,n1) = add(multiply(X_13,inverse(X_13)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,n1),add(multiply(X_13,inverse(X_13)),multiply(add(X,n1),n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_114,plain,
( add(X,n1) != add(multiply(X_13,inverse(X_13)),multiply(add(X,n1),n1))
| add(X,n1) = add(multiply(X_13,inverse(X_13)),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),n1),n1) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
add(X,n1) = add(multiply(X_13,inverse(X_13)),n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(multiply(X_13,inverse(X_13)),multiply(add(X,n1),n1))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
add(X_16,n1) = add(multiply(X_13,inverse(X_13)),n1),
inference(subst,[],[refute_0_115:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_117,plain,
( add(X_16,n1) != add(multiply(X_13,inverse(X_13)),n1)
| add(multiply(X_13,inverse(X_13)),n1) = add(X_16,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_16,n1))),bind(Y0,$fot(add(multiply(X_13,inverse(X_13)),n1)))]]) ).
cnf(refute_0_118,plain,
add(multiply(X_13,inverse(X_13)),n1) = add(X_16,n1),
inference(resolve,[$cnf( $equal(add(X_16,n1),add(multiply(X_13,inverse(X_13)),n1)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( add(X,n1) != add(multiply(X_13,inverse(X_13)),n1)
| add(multiply(X_13,inverse(X_13)),n1) != add(X_16,n1)
| add(X,n1) = add(X_16,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,n1),add(X_16,n1)) ),[0],$fot(add(multiply(X_13,inverse(X_13)),n1))]]) ).
cnf(refute_0_120,plain,
( add(X,n1) != add(multiply(X_13,inverse(X_13)),n1)
| add(X,n1) = add(X_16,n1) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,inverse(X_13)),n1),add(X_16,n1)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
add(X,n1) = add(X_16,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(multiply(X_13,inverse(X_13)),n1)) )],[refute_0_115,refute_0_120]) ).
cnf(refute_0_122,plain,
add(X,n1) = add(n1,n1),
inference(subst,[],[refute_0_121:[bind(X_16,$fot(n1))]]) ).
cnf(refute_0_123,plain,
( add(X,n1) != add(n1,n1)
| add(n1,n1) = add(X,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_124,plain,
add(n1,n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(n1,n1)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(inverse(X_47),add(n1,n1)) != add(inverse(X_47),inverse(X_47))
| add(n1,n1) != add(X,n1)
| multiply(inverse(X_47),add(X,n1)) = add(inverse(X_47),inverse(X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),add(n1,n1)),add(inverse(X_47),inverse(X_47))) ),[0,1],$fot(add(X,n1))]]) ).
cnf(refute_0_126,plain,
( multiply(inverse(X_47),add(n1,n1)) != add(inverse(X_47),inverse(X_47))
| multiply(inverse(X_47),add(X,n1)) = add(inverse(X_47),inverse(X_47)) ),
inference(resolve,[$cnf( $equal(add(n1,n1),add(X,n1)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(X_47),add(X,n1)) = add(inverse(X_47),inverse(X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(n1,n1)),add(inverse(X_47),inverse(X_47))) )],[refute_0_101,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(inverse(X_54),add(X,n1)) = add(inverse(X_54),inverse(X_54)),
inference(subst,[],[refute_0_127:[bind(X_47,$fot(X_54))]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(X_54),add(X,n1)) != add(inverse(X_54),inverse(X_54))
| add(inverse(X_54),inverse(X_54)) = multiply(inverse(X_54),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_54),add(X,n1)))),bind(Y0,$fot(add(inverse(X_54),inverse(X_54))))]]) ).
cnf(refute_0_130,plain,
add(inverse(X_54),inverse(X_54)) = multiply(inverse(X_54),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),add(X,n1)),add(inverse(X_54),inverse(X_54))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) != multiply(X_55,add(inverse(X_54),inverse(X_54)))
| add(inverse(X_54),inverse(X_54)) != multiply(inverse(X_54),add(X,n1))
| multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) = multiply(X_55,multiply(inverse(X_54),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))),multiply(X_55,add(inverse(X_54),inverse(X_54)))) ),[1,1],$fot(multiply(inverse(X_54),add(X,n1)))]]) ).
cnf(refute_0_132,plain,
( multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) != multiply(X_55,add(inverse(X_54),inverse(X_54)))
| multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) = multiply(X_55,multiply(inverse(X_54),add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) = multiply(X_55,multiply(inverse(X_54),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))),multiply(X_55,add(inverse(X_54),inverse(X_54)))) )],[refute_0_81,refute_0_132]) ).
cnf(refute_0_134,plain,
( multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) != multiply(X_55,multiply(inverse(X_54),add(X,n1)))
| multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) != multiply(X_55,add(inverse(X_54),inverse(X_54)))
| multiply(X_55,add(inverse(X_54),inverse(X_54))) = multiply(X_55,multiply(inverse(X_54),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))),multiply(X_55,multiply(inverse(X_54),add(X,n1)))) ),[0],$fot(multiply(X_55,add(inverse(X_54),inverse(X_54))))]]) ).
cnf(refute_0_135,plain,
( multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))) != multiply(X_55,multiply(inverse(X_54),add(X,n1)))
| multiply(X_55,add(inverse(X_54),inverse(X_54))) = multiply(X_55,multiply(inverse(X_54),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))),multiply(X_55,add(inverse(X_54),inverse(X_54)))) )],[refute_0_81,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(X_55,add(inverse(X_54),inverse(X_54))) = multiply(X_55,multiply(inverse(X_54),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_54),X_54,X_55),multiply(X_55,add(inverse(X_54),inverse(X_54)))),multiply(X_55,multiply(inverse(X_54),add(X,n1)))) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),
inference(subst,[],[refute_0_136:[bind(X_55,$fot(multiply(add(inverse(X_54),inverse(X_54)),n1)))]]) ).
cnf(refute_0_138,plain,
multiply(multiply(X_22,n1),add(X_22,X_23)) = add(multiply(X_22,multiply(X_22,n1)),multiply(X_23,multiply(X_22,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_22,n1))),bind(Y,$fot(X_22)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_139,plain,
multiply(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),multiply(X_14,n1)) = multiply(X_14,n1),
inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_13,inverse(X_13)))),bind(Y,$fot(multiply(X_14,n1)))]]) ).
cnf(refute_0_140,plain,
X_14 = add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),
inference(subst,[],[refute_0_110:[bind(X_11,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_141,plain,
( X_14 != add(multiply(X_13,inverse(X_13)),multiply(X_14,n1))
| add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)) = X_14 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_14)),bind(Y0,$fot(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1))))]]) ).
cnf(refute_0_142,plain,
add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)) = X_14,
inference(resolve,[$cnf( $equal(X_14,add(multiply(X_13,inverse(X_13)),multiply(X_14,n1))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( multiply(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),multiply(X_14,n1)) != multiply(X_14,n1)
| add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)) != X_14
| multiply(X_14,multiply(X_14,n1)) = multiply(X_14,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),multiply(X_14,n1)),multiply(X_14,n1)) ),[0,0],$fot(X_14)]]) ).
cnf(refute_0_144,plain,
( multiply(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),multiply(X_14,n1)) != multiply(X_14,n1)
| multiply(X_14,multiply(X_14,n1)) = multiply(X_14,n1) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),X_14) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(X_14,multiply(X_14,n1)) = multiply(X_14,n1),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_13,inverse(X_13)),multiply(X_14,n1)),multiply(X_14,n1)),multiply(X_14,n1)) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(X_22,multiply(X_22,n1)) = multiply(X_22,n1),
inference(subst,[],[refute_0_145:[bind(X_14,$fot(X_22))]]) ).
cnf(refute_0_147,plain,
( multiply(X_22,multiply(X_22,n1)) != multiply(X_22,n1)
| multiply(multiply(X_22,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_22,n1)),multiply(X_23,multiply(X_22,n1)))
| multiply(multiply(X_22,n1),add(X_22,X_23)) = add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_22,n1),add(X_22,X_23)),add(multiply(X_22,multiply(X_22,n1)),multiply(X_23,multiply(X_22,n1)))) ),[1,0],$fot(multiply(X_22,n1))]]) ).
cnf(refute_0_148,plain,
( multiply(multiply(X_22,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_22,n1)),multiply(X_23,multiply(X_22,n1)))
| multiply(multiply(X_22,n1),add(X_22,X_23)) = add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1))) ),
inference(resolve,[$cnf( $equal(multiply(X_22,multiply(X_22,n1)),multiply(X_22,n1)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(multiply(X_22,n1),add(X_22,X_23)) = add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,n1),add(X_22,X_23)),add(multiply(X_22,multiply(X_22,n1)),multiply(X_23,multiply(X_22,n1)))) )],[refute_0_138,refute_0_148]) ).
cnf(refute_0_150,plain,
multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = add(multiply(X_24,n1),multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1))),
inference(subst,[],[refute_0_149:[bind(X_22,$fot(X_24)),bind(X_23,$fot(add(X,multiply(X_24,n1))))]]) ).
cnf(refute_0_151,plain,
multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)) = multiply(X_24,n1),
inference(subst,[],[multiply_add:[bind(Y,$fot(multiply(X_24,n1)))]]) ).
cnf(refute_0_152,plain,
( multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != add(multiply(X_24,n1),multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)))
| multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)) != multiply(X_24,n1)
| multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = add(multiply(X_24,n1),multiply(X_24,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))),add(multiply(X_24,n1),multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)))) ),[1,1],$fot(multiply(X_24,n1))]]) ).
cnf(refute_0_153,plain,
( multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != add(multiply(X_24,n1),multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)))
| multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = add(multiply(X_24,n1),multiply(X_24,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)),multiply(X_24,n1)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = add(multiply(X_24,n1),multiply(X_24,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))),add(multiply(X_24,n1),multiply(add(X,multiply(X_24,n1)),multiply(X_24,n1)))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(multiply(X_23,n1),add(X_22,X_23)) = add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,multiply(X_23,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_23,n1))),bind(Y,$fot(X_22)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_156,plain,
multiply(X_23,multiply(X_23,n1)) = multiply(X_23,n1),
inference(subst,[],[refute_0_145:[bind(X_14,$fot(X_23))]]) ).
cnf(refute_0_157,plain,
( multiply(X_23,multiply(X_23,n1)) != multiply(X_23,n1)
| multiply(multiply(X_23,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,multiply(X_23,n1)))
| multiply(multiply(X_23,n1),add(X_22,X_23)) = add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,multiply(X_23,n1)))) ),[1,1],$fot(multiply(X_23,n1))]]) ).
cnf(refute_0_158,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,multiply(X_23,n1)))
| multiply(multiply(X_23,n1),add(X_22,X_23)) = add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_23,multiply(X_23,n1)),multiply(X_23,n1)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(multiply(X_23,n1),add(X_22,X_23)) = add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,multiply(X_23,n1)))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))
| add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) = multiply(multiply(X_23,n1),add(X_22,X_23)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(X_23,n1),add(X_22,X_23)))),bind(Y0,$fot(add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))))]]) ).
cnf(refute_0_161,plain,
add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) = multiply(multiply(X_23,n1),add(X_22,X_23)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)) = multiply(multiply(X_24,n1),add(X_24,X_24)),
inference(subst,[],[refute_0_161:[bind(X_22,$fot(X_24)),bind(X_23,$fot(X_24))]]) ).
cnf(refute_0_163,plain,
multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)),
inference(subst,[],[refute_0_85:[bind(X_21,$fot(multiply(X_24,n1))),bind(X_22,$fot(X_24))]]) ).
cnf(refute_0_164,plain,
( multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1))
| add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)) != multiply(multiply(X_24,n1),add(X_24,X_24))
| multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = multiply(multiply(X_24,n1),add(X_24,X_24)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))))),bind(Y0,$fot(add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)))),bind(Z0,$fot(multiply(multiply(X_24,n1),add(X_24,X_24))))]]) ).
cnf(refute_0_165,plain,
( add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)) != multiply(multiply(X_24,n1),add(X_24,X_24))
| multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = multiply(multiply(X_24,n1),add(X_24,X_24)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))),add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) = multiply(multiply(X_24,n1),add(X_24,X_24)),
inference(resolve,[$cnf( $equal(add(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)),multiply(multiply(X_24,n1),add(X_24,X_24))) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
( multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != multiply(multiply(X_24,n1),add(X_24,X_24))
| multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != add(multiply(X_24,n1),multiply(X_24,n1))
| multiply(multiply(X_24,n1),add(X_24,X_24)) = add(multiply(X_24,n1),multiply(X_24,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))),add(multiply(X_24,n1),multiply(X_24,n1))) ),[0],$fot(multiply(multiply(X_24,n1),add(X_24,X_24)))]]) ).
cnf(refute_0_168,plain,
( multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != add(multiply(X_24,n1),multiply(X_24,n1))
| multiply(multiply(X_24,n1),add(X_24,X_24)) = add(multiply(X_24,n1),multiply(X_24,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))),multiply(multiply(X_24,n1),add(X_24,X_24))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
add(multiply(X_24,n1),multiply(X_24,n1)) = multiply(n1,add(X_24,X_24)),
inference(subst,[],[refute_0_4:[bind(X,$fot(n1)),bind(Y,$fot(X_24)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_170,plain,
( multiply(multiply(X_24,n1),add(X_24,X_24)) != add(multiply(X_24,n1),multiply(X_24,n1))
| add(multiply(X_24,n1),multiply(X_24,n1)) != multiply(n1,add(X_24,X_24))
| multiply(multiply(X_24,n1),add(X_24,X_24)) = multiply(n1,add(X_24,X_24)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_24,n1),add(X_24,X_24)),multiply(n1,add(X_24,X_24))) ),[0],$fot(add(multiply(X_24,n1),multiply(X_24,n1)))]]) ).
cnf(refute_0_171,plain,
( multiply(multiply(X_24,n1),add(X_24,X_24)) != add(multiply(X_24,n1),multiply(X_24,n1))
| multiply(multiply(X_24,n1),add(X_24,X_24)) = multiply(n1,add(X_24,X_24)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_24,n1),multiply(X_24,n1)),multiply(n1,add(X_24,X_24))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))) != add(multiply(X_24,n1),multiply(X_24,n1))
| multiply(multiply(X_24,n1),add(X_24,X_24)) = multiply(n1,add(X_24,X_24)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,X_24)),add(multiply(X_24,n1),multiply(X_24,n1))) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(multiply(X_24,n1),add(X_24,X_24)) = multiply(n1,add(X_24,X_24)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_24,add(X,multiply(X_24,n1)))),add(multiply(X_24,n1),multiply(X_24,n1))) )],[refute_0_154,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))) = multiply(n1,add(multiply(Y,X),multiply(Y,X))),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_175,plain,
multiply(X,add(Y,Y)) = add(multiply(Y,X),multiply(Y,X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_176,plain,
( multiply(X,add(Y,Y)) != add(multiply(Y,X),multiply(Y,X))
| add(multiply(Y,X),multiply(Y,X)) = multiply(X,add(Y,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Y)))),bind(Y0,$fot(add(multiply(Y,X),multiply(Y,X))))]]) ).
cnf(refute_0_177,plain,
add(multiply(Y,X),multiply(Y,X)) = multiply(X,add(Y,Y)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Y)),add(multiply(Y,X),multiply(Y,X))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))) != multiply(n1,add(multiply(Y,X),multiply(Y,X)))
| add(multiply(Y,X),multiply(Y,X)) != multiply(X,add(Y,Y))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(n1,add(multiply(Y,X),multiply(Y,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))),multiply(n1,add(multiply(Y,X),multiply(Y,X)))) ),[0,1],$fot(multiply(X,add(Y,Y)))]]) ).
cnf(refute_0_179,plain,
( multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))) != multiply(n1,add(multiply(Y,X),multiply(Y,X)))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(n1,add(multiply(Y,X),multiply(Y,X))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Y,X)),multiply(X,add(Y,Y))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(n1,add(multiply(Y,X),multiply(Y,X))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))),multiply(n1,add(multiply(Y,X),multiply(Y,X)))) )],[refute_0_174,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(n1,add(multiply(Y,X),multiply(Y,X))) = multiply(n1,add(multiply(Y,X),multiply(Y,X))),
introduced(tautology,[refl,[$fot(multiply(n1,add(multiply(Y,X),multiply(Y,X))))]]) ).
cnf(refute_0_182,plain,
( multiply(n1,add(multiply(Y,X),multiply(Y,X))) != multiply(n1,add(multiply(Y,X),multiply(Y,X)))
| add(multiply(Y,X),multiply(Y,X)) != multiply(X,add(Y,Y))
| multiply(n1,add(multiply(Y,X),multiply(Y,X))) = multiply(n1,multiply(X,add(Y,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(multiply(Y,X),multiply(Y,X))),multiply(n1,add(multiply(Y,X),multiply(Y,X)))) ),[1,1],$fot(multiply(X,add(Y,Y)))]]) ).
cnf(refute_0_183,plain,
( add(multiply(Y,X),multiply(Y,X)) != multiply(X,add(Y,Y))
| multiply(n1,add(multiply(Y,X),multiply(Y,X))) = multiply(n1,multiply(X,add(Y,Y))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(Y,X),multiply(Y,X))),multiply(n1,add(multiply(Y,X),multiply(Y,X)))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(n1,add(multiply(Y,X),multiply(Y,X))) = multiply(n1,multiply(X,add(Y,Y))),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Y,X)),multiply(X,add(Y,Y))) )],[refute_0_177,refute_0_183]) ).
cnf(refute_0_185,plain,
( multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(n1,add(multiply(Y,X),multiply(Y,X)))
| multiply(n1,add(multiply(Y,X),multiply(Y,X))) != multiply(n1,multiply(X,add(Y,Y)))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(n1,multiply(X,add(Y,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(n1,multiply(X,add(Y,Y)))) ),[0],$fot(multiply(n1,add(multiply(Y,X),multiply(Y,X))))]]) ).
cnf(refute_0_186,plain,
( multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(n1,add(multiply(Y,X),multiply(Y,X)))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(n1,multiply(X,add(Y,Y))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(Y,X),multiply(Y,X))),multiply(n1,multiply(X,add(Y,Y)))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(n1,multiply(X,add(Y,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(n1,add(multiply(Y,X),multiply(Y,X)))) )],[refute_0_180,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),
inference(subst,[],[refute_0_187:[bind(X,$fot(add(X,add(X_105,X_105)))),bind(Y,$fot(X_105))]]) ).
cnf(refute_0_189,plain,
multiply(add(X,add(X_105,X_105)),add(X_105,X_105)) = add(X_105,X_105),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(X_105,X_105)))]]) ).
cnf(refute_0_190,plain,
( multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(add(X,add(X_105,X_105)),add(X_105,X_105)) != add(X_105,X_105)
| multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) ),[0,1],$fot(add(X_105,X_105))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_105,X_105)),add(X_105,X_105)),add(X_105,X_105)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(X_105,add(X,add(X_105,X_105))) = add(multiply(X,X_105),X_105),
inference(subst,[],[refute_0_85:[bind(X,$fot(X_105)),bind(X_21,$fot(X_105)),bind(X_22,$fot(X))]]) ).
cnf(refute_0_194,plain,
multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) = multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),
introduced(tautology,[refl,[$fot(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1))]]) ).
cnf(refute_0_195,plain,
( multiply(X_105,add(X,add(X_105,X_105))) != add(multiply(X,X_105),X_105)
| multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) != multiply(multiply(X_105,add(X,add(X_105,X_105))),n1)
| multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) = multiply(add(multiply(X,X_105),X_105),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(multiply(X_105,add(X,add(X_105,X_105))),n1)) ),[1,0],$fot(add(multiply(X,X_105),X_105))]]) ).
cnf(refute_0_196,plain,
( multiply(X_105,add(X,add(X_105,X_105))) != add(multiply(X,X_105),X_105)
| multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) = multiply(add(multiply(X,X_105),X_105),n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(multiply(X_105,add(X,add(X_105,X_105))),n1)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) = multiply(add(multiply(X,X_105),X_105),n1),
inference(resolve,[$cnf( $equal(multiply(X_105,add(X,add(X_105,X_105))),add(multiply(X,X_105),X_105)) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)))]]) ).
cnf(refute_0_199,plain,
( multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) != multiply(add(multiply(X,X_105),X_105),n1)
| multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) != multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105))
| multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)),multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105))) ),[1,0],$fot(multiply(add(multiply(X,X_105),X_105),n1))]]) ).
cnf(refute_0_200,plain,
( multiply(multiply(X_105,add(X,add(X_105,X_105))),n1) != multiply(add(multiply(X,X_105),X_105),n1)
| multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)),multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) = multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),multiply(add(multiply(X,X_105),X_105),n1)) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
( multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) != multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105))
| multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) ),[0],$fot(multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)))]]) ).
cnf(refute_0_203,plain,
( multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)),multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) = multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),
introduced(tautology,[refl,[$fot(multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))))]]) ).
cnf(refute_0_205,plain,
( multiply(add(X,add(X_105,X_105)),add(X_105,X_105)) != add(X_105,X_105)
| multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) = multiply(n1,add(X_105,X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) ),[1,1],$fot(add(X_105,X_105))]]) ).
cnf(refute_0_206,plain,
( multiply(add(X,add(X_105,X_105)),add(X_105,X_105)) != add(X_105,X_105)
| multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) = multiply(n1,add(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) = multiply(n1,add(X_105,X_105)),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_105,X_105)),add(X_105,X_105)),add(X_105,X_105)) )],[refute_0_189,refute_0_206]) ).
cnf(refute_0_208,plain,
( multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))) != multiply(n1,add(X_105,X_105))
| multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) = multiply(n1,add(X_105,X_105)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)),multiply(n1,add(X_105,X_105))) ),[0],$fot(multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))))]]) ).
cnf(refute_0_209,plain,
( multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) = multiply(n1,add(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105))),multiply(n1,add(X_105,X_105))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)) != multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))
| multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) = multiply(n1,add(X_105,X_105)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) )],[refute_0_203,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(multiply(add(multiply(X,X_105),X_105),n1),add(X_105,X_105)) = multiply(n1,add(X_105,X_105)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_105,add(X,add(X_105,X_105))),n1),add(X_105,X_105)),multiply(n1,multiply(add(X,add(X_105,X_105)),add(X_105,X_105)))) )],[refute_0_192,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(multiply(add(multiply(add(X,X_163),X_163),X_163),n1),add(X_163,X_163)) = multiply(n1,add(X_163,X_163)),
inference(subst,[],[refute_0_211:[bind(X,$fot(add(X,X_163))),bind(X_105,$fot(X_163))]]) ).
cnf(refute_0_213,plain,
multiply(add(X,X_163),X_163) = X_163,
inference(subst,[],[multiply_add:[bind(Y,$fot(X_163))]]) ).
cnf(refute_0_214,plain,
( multiply(multiply(add(multiply(add(X,X_163),X_163),X_163),n1),add(X_163,X_163)) != multiply(n1,add(X_163,X_163))
| multiply(add(X,X_163),X_163) != X_163
| multiply(multiply(add(X_163,X_163),n1),add(X_163,X_163)) = multiply(n1,add(X_163,X_163)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(multiply(add(X,X_163),X_163),X_163),n1),add(X_163,X_163)),multiply(n1,add(X_163,X_163))) ),[0,0,0,0],$fot(X_163)]]) ).
cnf(refute_0_215,plain,
( multiply(multiply(add(multiply(add(X,X_163),X_163),X_163),n1),add(X_163,X_163)) != multiply(n1,add(X_163,X_163))
| multiply(multiply(add(X_163,X_163),n1),add(X_163,X_163)) = multiply(n1,add(X_163,X_163)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_163),X_163),X_163) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(multiply(add(X_163,X_163),n1),add(X_163,X_163)) = multiply(n1,add(X_163,X_163)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(multiply(add(X,X_163),X_163),X_163),n1),add(X_163,X_163)),multiply(n1,add(X_163,X_163))) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))) = multiply(n1,add(inverse(X_54),inverse(X_54))),
inference(subst,[],[refute_0_216:[bind(X_163,$fot(inverse(X_54)))]]) ).
cnf(refute_0_218,plain,
( multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))) != multiply(n1,add(inverse(X_54),inverse(X_54)))
| multiply(n1,add(inverse(X_54),inverse(X_54))) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) ),[0],$fot(multiply(n1,add(inverse(X_54),inverse(X_54))))]]) ).
cnf(refute_0_219,plain,
( multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(n1,add(inverse(X_54),inverse(X_54))) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))),multiply(n1,add(inverse(X_54),inverse(X_54)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(n1,add(inverse(X_54),inverse(X_54))) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) )],[refute_0_137,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) = multiply(n1,add(inverse(X_47),inverse(X_47))),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(inverse(X_47)))]]) ).
cnf(refute_0_222,plain,
( multiply(inverse(X_47),add(n1,n1)) != add(inverse(X_47),inverse(X_47))
| add(inverse(X_47),inverse(X_47)) = multiply(inverse(X_47),add(n1,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_47),add(n1,n1)))),bind(Y0,$fot(add(inverse(X_47),inverse(X_47))))]]) ).
cnf(refute_0_223,plain,
add(inverse(X_47),inverse(X_47)) = multiply(inverse(X_47),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(n1,n1)),add(inverse(X_47),inverse(X_47))) )],[refute_0_101,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| add(inverse(X_47),inverse(X_47)) != multiply(inverse(X_47),add(n1,n1))
| multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) = multiply(n1,multiply(inverse(X_47),add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))),multiply(n1,add(inverse(X_47),inverse(X_47)))) ),[1,1],$fot(multiply(inverse(X_47),add(n1,n1)))]]) ).
cnf(refute_0_225,plain,
( multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) = multiply(n1,multiply(inverse(X_47),add(n1,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_47),inverse(X_47)),multiply(inverse(X_47),add(n1,n1))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) = multiply(n1,multiply(inverse(X_47),add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))),multiply(n1,add(inverse(X_47),inverse(X_47)))) )],[refute_0_221,refute_0_225]) ).
cnf(refute_0_227,plain,
( multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) != multiply(n1,multiply(inverse(X_47),add(n1,n1)))
| multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(n1,multiply(inverse(X_47),add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))),multiply(n1,multiply(inverse(X_47),add(n1,n1)))) ),[0],$fot(multiply(n1,add(inverse(X_47),inverse(X_47))))]]) ).
cnf(refute_0_228,plain,
( multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))) != multiply(n1,multiply(inverse(X_47),add(n1,n1)))
| multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(n1,multiply(inverse(X_47),add(n1,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))),multiply(n1,add(inverse(X_47),inverse(X_47)))) )],[refute_0_221,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(n1,multiply(inverse(X_47),add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_47),n1),add(inverse(X_47),inverse(X_47))),multiply(n1,multiply(inverse(X_47),add(n1,n1)))) )],[refute_0_226,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(add(multiply(X_22,X_21),multiply(X_23,X_21)),multiply(X_23,X_21)) = multiply(X_23,X_21),
inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_22,X_21))),bind(Y,$fot(multiply(X_23,X_21)))]]) ).
cnf(refute_0_231,plain,
multiply(X_21,add(X_22,X_23)) = add(multiply(X_22,X_21),multiply(X_23,X_21)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_21)),bind(Y,$fot(X_22)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_232,plain,
( multiply(X_21,add(X_22,X_23)) != add(multiply(X_22,X_21),multiply(X_23,X_21))
| add(multiply(X_22,X_21),multiply(X_23,X_21)) = multiply(X_21,add(X_22,X_23)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_21,add(X_22,X_23)))),bind(Y0,$fot(add(multiply(X_22,X_21),multiply(X_23,X_21))))]]) ).
cnf(refute_0_233,plain,
add(multiply(X_22,X_21),multiply(X_23,X_21)) = multiply(X_21,add(X_22,X_23)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X_22,X_23)),add(multiply(X_22,X_21),multiply(X_23,X_21))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiply(add(multiply(X_22,X_21),multiply(X_23,X_21)),multiply(X_23,X_21)) != multiply(X_23,X_21)
| add(multiply(X_22,X_21),multiply(X_23,X_21)) != multiply(X_21,add(X_22,X_23))
| multiply(multiply(X_21,add(X_22,X_23)),multiply(X_23,X_21)) = multiply(X_23,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_22,X_21),multiply(X_23,X_21)),multiply(X_23,X_21)),multiply(X_23,X_21)) ),[0,0],$fot(multiply(X_21,add(X_22,X_23)))]]) ).
cnf(refute_0_235,plain,
( multiply(add(multiply(X_22,X_21),multiply(X_23,X_21)),multiply(X_23,X_21)) != multiply(X_23,X_21)
| multiply(multiply(X_21,add(X_22,X_23)),multiply(X_23,X_21)) = multiply(X_23,X_21) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,X_21),multiply(X_23,X_21)),multiply(X_21,add(X_22,X_23))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(multiply(X_21,add(X_22,X_23)),multiply(X_23,X_21)) = multiply(X_23,X_21),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_22,X_21),multiply(X_23,X_21)),multiply(X_23,X_21)),multiply(X_23,X_21)) )],[refute_0_230,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(multiply(add(X,add(X_59,X_60)),add(X_59,X_60)),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(X_60,add(X,add(X_59,X_60))),
inference(subst,[],[refute_0_236:[bind(X_21,$fot(add(X,add(X_59,X_60)))),bind(X_22,$fot(X_59)),bind(X_23,$fot(X_60))]]) ).
cnf(refute_0_238,plain,
multiply(add(X,add(X_59,X_60)),add(X_59,X_60)) = add(X_59,X_60),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_239,plain,
( multiply(multiply(add(X,add(X_59,X_60)),add(X_59,X_60)),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X,add(X_59,X_60)),add(X_59,X_60)) != add(X_59,X_60)
| multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(X_60,add(X,add(X_59,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X,add(X_59,X_60)),add(X_59,X_60)),multiply(X_60,add(X,add(X_59,X_60)))),multiply(X_60,add(X,add(X_59,X_60)))) ),[0,0],$fot(add(X_59,X_60))]]) ).
cnf(refute_0_240,plain,
( multiply(multiply(add(X,add(X_59,X_60)),add(X_59,X_60)),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(X_60,add(X,add(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_59,X_60)),add(X_59,X_60)),add(X_59,X_60)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(X_60,add(X,add(X_59,X_60))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,add(X_59,X_60)),add(X_59,X_60)),multiply(X_60,add(X,add(X_59,X_60)))),multiply(X_60,add(X,add(X_59,X_60)))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(X_60,add(X,add(X_59,X_60))) = add(multiply(X,X_60),X_60),
inference(subst,[],[refute_0_85:[bind(X,$fot(X_59)),bind(X_21,$fot(X_60)),bind(X_22,$fot(X))]]) ).
cnf(refute_0_243,plain,
multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))),
introduced(tautology,[refl,[$fot(multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))))]]) ).
cnf(refute_0_244,plain,
( multiply(X_60,add(X,add(X_59,X_60))) != add(multiply(X,X_60),X_60)
| multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60))))
| multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))),multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60))))) ),[1,1],$fot(add(multiply(X,X_60),X_60))]]) ).
cnf(refute_0_245,plain,
( multiply(X_60,add(X,add(X_59,X_60))) != add(multiply(X,X_60),X_60)
| multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))),multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60))))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) = multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)),
inference(resolve,[$cnf( $equal(multiply(X_60,add(X,add(X_59,X_60))),add(multiply(X,X_60),X_60)) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
( multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(add(X_59,X_60),add(multiply(X,X_60),X_60))
| multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) = multiply(X_60,add(X,add(X_59,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))),multiply(X_60,add(X,add(X_59,X_60)))) ),[0],$fot(multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)))]]) ).
cnf(refute_0_248,plain,
( multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) = multiply(X_60,add(X,add(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))),multiply(add(X_59,X_60),add(multiply(X,X_60),X_60))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiply(X_60,add(X,add(X_59,X_60))) != add(multiply(X,X_60),X_60)
| multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) = add(multiply(X,X_60),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)),multiply(X_60,add(X,add(X_59,X_60)))) ),[1],$fot(add(multiply(X,X_60),X_60))]]) ).
cnf(refute_0_250,plain,
( multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) = add(multiply(X,X_60),X_60) ),
inference(resolve,[$cnf( $equal(multiply(X_60,add(X,add(X_59,X_60))),add(multiply(X,X_60),X_60)) )],[refute_0_242,refute_0_249]) ).
cnf(refute_0_251,plain,
( multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))) != multiply(X_60,add(X,add(X_59,X_60)))
| multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) = add(multiply(X,X_60),X_60) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)),multiply(X_60,add(X,add(X_59,X_60)))) )],[refute_0_248,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(add(X_59,X_60),add(multiply(X,X_60),X_60)) = add(multiply(X,X_60),X_60),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),multiply(X_60,add(X,add(X_59,X_60)))),multiply(X_60,add(X,add(X_59,X_60)))) )],[refute_0_241,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(add(X_166,inverse(X_166)),add(multiply(X_165,inverse(X_166)),inverse(X_166))) = add(multiply(X_165,inverse(X_166)),inverse(X_166)),
inference(subst,[],[refute_0_252:[bind(X,$fot(X_165)),bind(X_59,$fot(X_166)),bind(X_60,$fot(inverse(X_166)))]]) ).
cnf(refute_0_254,plain,
add(X_166,inverse(X_166)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_166))]]) ).
cnf(refute_0_255,plain,
( multiply(add(X_166,inverse(X_166)),add(multiply(X_165,inverse(X_166)),inverse(X_166))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| add(X_166,inverse(X_166)) != n1
| multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = add(multiply(X_165,inverse(X_166)),inverse(X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_166,inverse(X_166)),add(multiply(X_165,inverse(X_166)),inverse(X_166))),add(multiply(X_165,inverse(X_166)),inverse(X_166))) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_256,plain,
( multiply(add(X_166,inverse(X_166)),add(multiply(X_165,inverse(X_166)),inverse(X_166))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = add(multiply(X_165,inverse(X_166)),inverse(X_166)) ),
inference(resolve,[$cnf( $equal(add(X_166,inverse(X_166)),n1) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = add(multiply(X_165,inverse(X_166)),inverse(X_166)),
inference(resolve,[$cnf( $equal(multiply(add(X_166,inverse(X_166)),add(multiply(X_165,inverse(X_166)),inverse(X_166))),add(multiply(X_165,inverse(X_166)),inverse(X_166))) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
add(multiply(X_165,inverse(X_166)),inverse(X_166)) = multiply(inverse(X_166),add(X_165,n1)),
inference(subst,[],[refute_0_91:[bind(X,$fot(X_166)),bind(X_22,$fot(X_165))]]) ).
cnf(refute_0_259,plain,
multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))),
introduced(tautology,[refl,[$fot(multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))))]]) ).
cnf(refute_0_260,plain,
( multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) != multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166)))
| add(multiply(X_165,inverse(X_166)),inverse(X_166)) != multiply(inverse(X_166),add(X_165,n1))
| multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = multiply(n1,multiply(inverse(X_166),add(X_165,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))),multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166)))) ),[1,1],$fot(multiply(inverse(X_166),add(X_165,n1)))]]) ).
cnf(refute_0_261,plain,
( add(multiply(X_165,inverse(X_166)),inverse(X_166)) != multiply(inverse(X_166),add(X_165,n1))
| multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = multiply(n1,multiply(inverse(X_166),add(X_165,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))),multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) = multiply(n1,multiply(inverse(X_166),add(X_165,n1))),
inference(resolve,[$cnf( $equal(add(multiply(X_165,inverse(X_166)),inverse(X_166)),multiply(inverse(X_166),add(X_165,n1))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
( multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) != multiply(n1,multiply(inverse(X_166),add(X_165,n1)))
| multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| multiply(n1,multiply(inverse(X_166),add(X_165,n1))) = add(multiply(X_165,inverse(X_166)),inverse(X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))),add(multiply(X_165,inverse(X_166)),inverse(X_166))) ),[0],$fot(multiply(n1,multiply(inverse(X_166),add(X_165,n1))))]]) ).
cnf(refute_0_264,plain,
( multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| multiply(n1,multiply(inverse(X_166),add(X_165,n1))) = add(multiply(X_165,inverse(X_166)),inverse(X_166)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))),multiply(n1,multiply(inverse(X_166),add(X_165,n1)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( multiply(n1,multiply(inverse(X_166),add(X_165,n1))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| add(multiply(X_165,inverse(X_166)),inverse(X_166)) != multiply(inverse(X_166),add(X_165,n1))
| multiply(n1,multiply(inverse(X_166),add(X_165,n1))) = multiply(inverse(X_166),add(X_165,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,multiply(inverse(X_166),add(X_165,n1))),multiply(inverse(X_166),add(X_165,n1))) ),[0],$fot(add(multiply(X_165,inverse(X_166)),inverse(X_166)))]]) ).
cnf(refute_0_266,plain,
( multiply(n1,multiply(inverse(X_166),add(X_165,n1))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| multiply(n1,multiply(inverse(X_166),add(X_165,n1))) = multiply(inverse(X_166),add(X_165,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_165,inverse(X_166)),inverse(X_166)),multiply(inverse(X_166),add(X_165,n1))) )],[refute_0_258,refute_0_265]) ).
cnf(refute_0_267,plain,
( multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))) != add(multiply(X_165,inverse(X_166)),inverse(X_166))
| multiply(n1,multiply(inverse(X_166),add(X_165,n1))) = multiply(inverse(X_166),add(X_165,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(X_166),add(X_165,n1))),add(multiply(X_165,inverse(X_166)),inverse(X_166))) )],[refute_0_264,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(n1,multiply(inverse(X_166),add(X_165,n1))) = multiply(inverse(X_166),add(X_165,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(X_165,inverse(X_166)),inverse(X_166))),add(multiply(X_165,inverse(X_166)),inverse(X_166))) )],[refute_0_257,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(n1,multiply(inverse(X_47),add(n1,n1))) = multiply(inverse(X_47),add(n1,n1)),
inference(subst,[],[refute_0_268:[bind(X_165,$fot(n1)),bind(X_166,$fot(X_47))]]) ).
cnf(refute_0_270,plain,
( multiply(n1,multiply(inverse(X_47),add(n1,n1))) != multiply(inverse(X_47),add(n1,n1))
| multiply(n1,add(inverse(X_47),inverse(X_47))) != multiply(n1,multiply(inverse(X_47),add(n1,n1)))
| multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(inverse(X_47),add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(X_47),inverse(X_47))),multiply(n1,multiply(inverse(X_47),add(n1,n1)))) ),[1],$fot(multiply(inverse(X_47),add(n1,n1)))]]) ).
cnf(refute_0_271,plain,
( multiply(n1,add(inverse(X_47),inverse(X_47))) != multiply(n1,multiply(inverse(X_47),add(n1,n1)))
| multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(inverse(X_47),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(X_47),add(n1,n1))),multiply(inverse(X_47),add(n1,n1))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(inverse(X_47),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_47),inverse(X_47))),multiply(n1,multiply(inverse(X_47),add(n1,n1)))) )],[refute_0_229,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(n1,add(inverse(X_54),inverse(X_54))) = multiply(inverse(X_54),add(n1,n1)),
inference(subst,[],[refute_0_272:[bind(X_47,$fot(X_54))]]) ).
cnf(refute_0_274,plain,
( multiply(n1,add(inverse(X_54),inverse(X_54))) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(n1,add(inverse(X_54),inverse(X_54))) != multiply(inverse(X_54),add(n1,n1))
| multiply(inverse(X_54),add(n1,n1)) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(X_54),inverse(X_54))),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) ),[0],$fot(multiply(inverse(X_54),add(n1,n1)))]]) ).
cnf(refute_0_275,plain,
( multiply(n1,add(inverse(X_54),inverse(X_54))) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(inverse(X_54),add(n1,n1)) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_54),inverse(X_54))),multiply(inverse(X_54),add(n1,n1))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(inverse(X_54),add(n1,n1)) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_54),inverse(X_54))),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) )],[refute_0_220,refute_0_275]) ).
cnf(refute_0_277,plain,
pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))) = add(inverse(Y),inverse(Y)),
inference(subst,[],[pixley3:[bind(X,$fot(add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_278,plain,
pixley(add(X,inverse(X_11)),X_11,X_12) = add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(add(X,inverse(X_11)))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_279,plain,
multiply(add(X,inverse(X_11)),inverse(X_11)) = inverse(X_11),
inference(subst,[],[multiply_add:[bind(Y,$fot(inverse(X_11)))]]) ).
cnf(refute_0_280,plain,
( multiply(add(X,inverse(X_11)),inverse(X_11)) != inverse(X_11)
| pixley(add(X,inverse(X_11)),X_11,X_12) != add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))
| pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(X_11)),X_11,X_12),add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_281,plain,
( pixley(add(X,inverse(X_11)),X_11,X_12) != add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))
| pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_11)),inverse(X_11)),inverse(X_11)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(X_11)),X_11,X_12),add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))),
inference(subst,[],[refute_0_282:[bind(X,$fot(inverse(X_126))),bind(X_11,$fot(X_126)),bind(X_12,$fot(X_127))]]) ).
cnf(refute_0_284,plain,
multiply(inverse(X_126),add(X,n1)) = add(inverse(X_126),inverse(X_126)),
inference(subst,[],[refute_0_127:[bind(X_47,$fot(X_126))]]) ).
cnf(refute_0_285,plain,
( multiply(inverse(X_126),add(X,n1)) != add(inverse(X_126),inverse(X_126))
| add(inverse(X_126),inverse(X_126)) = multiply(inverse(X_126),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_126),add(X,n1)))),bind(Y0,$fot(add(inverse(X_126),inverse(X_126))))]]) ).
cnf(refute_0_286,plain,
add(inverse(X_126),inverse(X_126)) = multiply(inverse(X_126),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),add(X,n1)),add(inverse(X_126),inverse(X_126))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
( add(inverse(X_126),inverse(X_126)) != multiply(inverse(X_126),add(X,n1))
| pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))
| pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))) ),[0,0],$fot(multiply(inverse(X_126),add(X,n1)))]]) ).
cnf(refute_0_288,plain,
( pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))
| pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),inverse(X_126)),multiply(inverse(X_126),add(X,n1))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))),
inference(resolve,[$cnf( $equal(pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))) )],[refute_0_283,refute_0_288]) ).
cnf(refute_0_290,plain,
( pixley(add(X,inverse(X_11)),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))
| add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) = pixley(add(X,inverse(X_11)),X_11,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X,inverse(X_11)),X_11,X_12))),bind(Y0,$fot(add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))))]]) ).
cnf(refute_0_291,plain,
add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) = pixley(add(X,inverse(X_11)),X_11,X_12),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(X_11)),X_11,X_12),add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))) )],[refute_0_282,refute_0_290]) ).
cnf(refute_0_292,plain,
add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))) = pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127),
inference(subst,[],[refute_0_291:[bind(X,$fot(inverse(X_126))),bind(X_11,$fot(X_126)),bind(X_12,$fot(X_127))]]) ).
cnf(refute_0_293,plain,
( add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))) != pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127)
| pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))
| pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) = pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))) ),[1],$fot(pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127))]]) ).
cnf(refute_0_294,plain,
( pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))
| pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) = pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126)))),pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127) = pixley(add(inverse(X_126),inverse(X_126)),X_126,X_127),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X,n1)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(add(inverse(X_126),inverse(X_126)),inverse(X_126))))) )],[refute_0_289,refute_0_294]) ).
cnf(refute_0_296,plain,
pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))) = pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))),
inference(subst,[],[refute_0_295:[bind(X,$fot(X_132)),bind(X_126,$fot(Y)),bind(X_127,$fot(add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_297,plain,
( pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))) != pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y)))
| pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))) = pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))))),bind(Y0,$fot(pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y)))))]]) ).
cnf(refute_0_298,plain,
pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))) = pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))),pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
( pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))) != add(inverse(Y),inverse(Y))
| pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))) != pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y)))
| pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))) = add(inverse(Y),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))),add(inverse(Y),inverse(Y))) ),[0],$fot(pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_300,plain,
( pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))) != add(inverse(Y),inverse(Y))
| pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))) = add(inverse(Y),inverse(Y)) ),
inference(resolve,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))),pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y)))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
pixley(multiply(inverse(Y),add(X_132,n1)),Y,add(inverse(Y),inverse(Y))) = add(inverse(Y),inverse(Y)),
inference(resolve,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,add(inverse(Y),inverse(Y))),add(inverse(Y),inverse(Y))) )],[refute_0_277,refute_0_300]) ).
cnf(refute_0_302,plain,
pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),inverse(inverse(n1)))) = add(inverse(inverse(n1)),inverse(inverse(n1))),
inference(subst,[],[refute_0_301:[bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_303,plain,
pixley(inverse(inverse(n1)),n1,n1) = inverse(inverse(n1)),
inference(subst,[],[pixley2:[bind(X,$fot(inverse(inverse(n1)))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_304,plain,
pixley(inverse(inverse(n1)),n1,Z) = add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,add(inverse(inverse(n1)),inverse(n1)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(inverse(n1)))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_305,plain,
pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = add(inverse(add(inverse(n1),inverse(n1))),multiply(inverse(n1),n1)),
inference(subst,[],[refute_0_55:[bind(X_87,$fot(inverse(n1))),bind(X_88,$fot(n1))]]) ).
cnf(refute_0_306,plain,
multiply(inverse(n1),add(add(inverse(n1),inverse(n1)),inverse(n1))) = add(inverse(n1),multiply(inverse(n1),inverse(n1))),
inference(subst,[],[refute_0_21:[bind(X,$fot(inverse(n1))),bind(X_21,$fot(inverse(n1))),bind(X_23,$fot(inverse(n1)))]]) ).
cnf(refute_0_307,plain,
multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)),
inference(subst,[],[refute_0_85:[bind(X_21,$fot(inverse(n1))),bind(X_22,$fot(multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_308,plain,
multiply(multiply(X_52,n1),add(X_22,add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)))) = add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)),
inference(subst,[],[refute_0_85:[bind(X,$fot(multiply(X_51,multiply(X_52,n1)))),bind(X_21,$fot(multiply(X_52,n1)))]]) ).
cnf(refute_0_309,plain,
multiply(multiply(X_52,n1),add(X_51,X_52)) = add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)),
inference(subst,[],[refute_0_159:[bind(X_22,$fot(X_51)),bind(X_23,$fot(X_52))]]) ).
cnf(refute_0_310,plain,
( multiply(multiply(X_52,n1),add(X_51,X_52)) != add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))
| add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)) = multiply(multiply(X_52,n1),add(X_51,X_52)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(X_52,n1),add(X_51,X_52)))),bind(Y0,$fot(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))))]]) ).
cnf(refute_0_311,plain,
add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)) = multiply(multiply(X_52,n1),add(X_51,X_52)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,n1),add(X_51,X_52)),add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( multiply(multiply(X_52,n1),add(X_22,add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)))) != add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))
| add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)) != multiply(multiply(X_52,n1),add(X_51,X_52))
| multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) = add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_52,n1),add(X_22,add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)))),add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))) ),[0,1,1],$fot(multiply(multiply(X_52,n1),add(X_51,X_52)))]]) ).
cnf(refute_0_313,plain,
( multiply(multiply(X_52,n1),add(X_22,add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)))) != add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))
| multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) = add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)),multiply(multiply(X_52,n1),add(X_51,X_52))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) = add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,n1),add(X_22,add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)))),add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))) )],[refute_0_308,refute_0_313]) ).
cnf(refute_0_315,plain,
add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)) = multiply(multiply(X_52,n1),add(X_22,X_52)),
inference(subst,[],[refute_0_161:[bind(X_23,$fot(X_52))]]) ).
cnf(refute_0_316,plain,
( multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) != add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))
| add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)) != multiply(multiply(X_52,n1),add(X_22,X_52))
| multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) = multiply(multiply(X_52,n1),add(X_22,X_52)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))),multiply(multiply(X_52,n1),add(X_22,X_52))) ),[0],$fot(add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)))]]) ).
cnf(refute_0_317,plain,
( multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) != add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))
| multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) = multiply(multiply(X_52,n1),add(X_22,X_52)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1)),multiply(multiply(X_52,n1),add(X_22,X_52))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))) = multiply(multiply(X_52,n1),add(X_22,X_52)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,n1),add(X_22,multiply(multiply(X_52,n1),add(X_51,X_52)))),add(multiply(X_22,multiply(X_52,n1)),multiply(X_52,n1))) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))) = multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),
inference(subst,[],[refute_0_318:[bind(X_22,$fot(multiply(X_144,inverse(Y)))),bind(X_51,$fot(X_144)),bind(X_52,$fot(inverse(Y)))]]) ).
cnf(refute_0_320,plain,
pixley(X_144,Y,multiply(inverse(Y),n1)) = add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_144)),bind(Z,$fot(multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_321,plain,
( pixley(X_144,Y,multiply(inverse(Y),n1)) != add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))
| add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y)))) = pixley(X_144,Y,multiply(inverse(Y),n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_144,Y,multiply(inverse(Y),n1)))),bind(Y0,$fot(add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))))]]) ).
cnf(refute_0_322,plain,
add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y)))) = pixley(X_144,Y,multiply(inverse(Y),n1)),
inference(resolve,[$cnf( $equal(pixley(X_144,Y,multiply(inverse(Y),n1)),add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))) != multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))
| add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y)))) != pixley(X_144,Y,multiply(inverse(Y),n1))
| multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) = multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))),multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))) ),[0,1],$fot(pixley(X_144,Y,multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_324,plain,
( multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))) != multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))
| multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) = multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y)))),pixley(X_144,Y,multiply(inverse(Y),n1))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) = multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),multiply(multiply(inverse(Y),n1),add(X_144,inverse(Y))))),multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))) )],[refute_0_319,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(multiply(inverse(X_50),n1),add(inverse(X_50),inverse(X_50))) = multiply(n1,add(inverse(X_50),inverse(X_50))),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(inverse(X_50)))]]) ).
cnf(refute_0_327,plain,
multiply(inverse(X_50),add(X_49,n1)) = add(inverse(X_50),inverse(X_50)),
inference(subst,[],[refute_0_127:[bind(X,$fot(X_49)),bind(X_47,$fot(X_50))]]) ).
cnf(refute_0_328,plain,
( multiply(inverse(X_50),add(X_49,n1)) != add(inverse(X_50),inverse(X_50))
| add(inverse(X_50),inverse(X_50)) = multiply(inverse(X_50),add(X_49,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_50),add(X_49,n1)))),bind(Y0,$fot(add(inverse(X_50),inverse(X_50))))]]) ).
cnf(refute_0_329,plain,
add(inverse(X_50),inverse(X_50)) = multiply(inverse(X_50),add(X_49,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_49,n1)),add(inverse(X_50),inverse(X_50))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
( multiply(multiply(inverse(X_50),n1),add(inverse(X_50),inverse(X_50))) != multiply(n1,add(inverse(X_50),inverse(X_50)))
| add(inverse(X_50),inverse(X_50)) != multiply(inverse(X_50),add(X_49,n1))
| multiply(multiply(inverse(X_50),n1),multiply(inverse(X_50),add(X_49,n1))) = multiply(n1,add(inverse(X_50),inverse(X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_50),n1),add(inverse(X_50),inverse(X_50))),multiply(n1,add(inverse(X_50),inverse(X_50)))) ),[0,1],$fot(multiply(inverse(X_50),add(X_49,n1)))]]) ).
cnf(refute_0_331,plain,
( multiply(multiply(inverse(X_50),n1),add(inverse(X_50),inverse(X_50))) != multiply(n1,add(inverse(X_50),inverse(X_50)))
| multiply(multiply(inverse(X_50),n1),multiply(inverse(X_50),add(X_49,n1))) = multiply(n1,add(inverse(X_50),inverse(X_50))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_50),inverse(X_50)),multiply(inverse(X_50),add(X_49,n1))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(multiply(inverse(X_50),n1),multiply(inverse(X_50),add(X_49,n1))) = multiply(n1,add(inverse(X_50),inverse(X_50))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_50),n1),add(inverse(X_50),inverse(X_50))),multiply(n1,add(inverse(X_50),inverse(X_50)))) )],[refute_0_326,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))) = multiply(n1,add(inverse(Y),inverse(Y))),
inference(subst,[],[refute_0_332:[bind(X_49,$fot(X_144)),bind(X_50,$fot(Y))]]) ).
cnf(refute_0_334,plain,
add(multiply(X_144,inverse(Y)),inverse(Y)) = multiply(inverse(Y),add(X_144,n1)),
inference(subst,[],[refute_0_91:[bind(X,$fot(Y)),bind(X_22,$fot(X_144))]]) ).
cnf(refute_0_335,plain,
multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))))]]) ).
cnf(refute_0_336,plain,
( multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) != multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))
| add(multiply(X_144,inverse(Y)),inverse(Y)) != multiply(inverse(Y),add(X_144,n1))
| multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))) ),[1,1],$fot(multiply(inverse(Y),add(X_144,n1)))]]) ).
cnf(refute_0_337,plain,
( add(multiply(X_144,inverse(Y)),inverse(Y)) != multiply(inverse(Y),add(X_144,n1))
| multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))),
inference(resolve,[$cnf( $equal(add(multiply(X_144,inverse(Y)),inverse(Y)),multiply(inverse(Y),add(X_144,n1))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))) != multiply(n1,add(inverse(Y),inverse(Y)))
| multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) != multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1)))
| multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(n1,add(inverse(Y),inverse(Y))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))))),bind(Y0,$fot(multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))))),bind(Z0,$fot(multiply(n1,add(inverse(Y),inverse(Y)))))]]) ).
cnf(refute_0_340,plain,
( multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))) != multiply(n1,add(inverse(Y),inverse(Y)))
| multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(n1,add(inverse(Y),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) = multiply(n1,add(inverse(Y),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),multiply(inverse(Y),add(X_144,n1))),multiply(n1,add(inverse(Y),inverse(Y)))) )],[refute_0_333,refute_0_340]) ).
cnf(refute_0_342,plain,
( multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))) != multiply(n1,add(inverse(Y),inverse(Y)))
| multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) != multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))
| multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) = multiply(n1,add(inverse(Y),inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))),multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))) ),[1],$fot(multiply(n1,add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_343,plain,
( multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) != multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))
| multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) = multiply(n1,add(inverse(Y),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y))),multiply(n1,add(inverse(Y),inverse(Y)))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))) = multiply(n1,add(inverse(Y),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),pixley(X_144,Y,multiply(inverse(Y),n1))),multiply(multiply(inverse(Y),n1),add(multiply(X_144,inverse(Y)),inverse(Y)))) )],[refute_0_325,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1))) = multiply(n1,add(inverse(X_158),inverse(X_158))),
inference(subst,[],[refute_0_344:[bind(Y,$fot(X_158)),bind(X_144,$fot(inverse(X_158)))]]) ).
cnf(refute_0_346,plain,
pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = add(multiply(inverse(Y),inverse(Y)),multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(Y))),bind(Z,$fot(multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_347,plain,
multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))) = multiply(n1,add(inverse(Y),inverse(Y))),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(inverse(Y)))]]) ).
cnf(refute_0_348,plain,
( multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))) != multiply(n1,add(inverse(Y),inverse(Y)))
| pixley(inverse(Y),Y,multiply(inverse(Y),n1)) != add(multiply(inverse(Y),inverse(Y)),multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),Y,multiply(inverse(Y),n1)),add(multiply(inverse(Y),inverse(Y)),multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))))) ),[1,1],$fot(multiply(n1,add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_349,plain,
( pixley(inverse(Y),Y,multiply(inverse(Y),n1)) != add(multiply(inverse(Y),inverse(Y)),multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))),multiply(n1,add(inverse(Y),inverse(Y)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,multiply(inverse(Y),n1)),add(multiply(inverse(Y),inverse(Y)),multiply(multiply(inverse(Y),n1),add(inverse(Y),inverse(Y))))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( pixley(X,Y,Z) != add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))
| add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) = pixley(X,Y,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,Y,Z))),bind(Y0,$fot(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))))]]) ).
cnf(refute_0_352,plain,
add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) = pixley(X,Y,Z),
inference(resolve,[$cnf( $equal(pixley(X,Y,Z),add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))) )],[refute_0_12,refute_0_351]) ).
cnf(refute_0_353,plain,
add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y)))) = pixley(inverse(Y),Y,n1),
inference(subst,[],[refute_0_352:[bind(X,$fot(inverse(Y))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_354,plain,
( add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y)))) != pixley(inverse(Y),Y,n1)
| pixley(inverse(Y),Y,multiply(inverse(Y),n1)) != add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = pixley(inverse(Y),Y,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),Y,multiply(inverse(Y),n1)),add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y))))) ),[1],$fot(pixley(inverse(Y),Y,n1))]]) ).
cnf(refute_0_355,plain,
( pixley(inverse(Y),Y,multiply(inverse(Y),n1)) != add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = pixley(inverse(Y),Y,n1) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y)))),pixley(inverse(Y),Y,n1)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
pixley(inverse(Y),Y,multiply(inverse(Y),n1)) = pixley(inverse(Y),Y,n1),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,multiply(inverse(Y),n1)),add(multiply(inverse(Y),inverse(Y)),multiply(n1,add(inverse(Y),inverse(Y))))) )],[refute_0_350,refute_0_355]) ).
cnf(refute_0_357,plain,
pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1)) = pixley(inverse(X_158),X_158,n1),
inference(subst,[],[refute_0_356:[bind(Y,$fot(X_158))]]) ).
cnf(refute_0_358,plain,
( multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1))) != multiply(n1,add(inverse(X_158),inverse(X_158)))
| pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1)) != pixley(inverse(X_158),X_158,n1)
| multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,n1)) = multiply(n1,add(inverse(X_158),inverse(X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1))),multiply(n1,add(inverse(X_158),inverse(X_158)))) ),[0,1],$fot(pixley(inverse(X_158),X_158,n1))]]) ).
cnf(refute_0_359,plain,
( multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1))) != multiply(n1,add(inverse(X_158),inverse(X_158)))
| multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,n1)) = multiply(n1,add(inverse(X_158),inverse(X_158))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1)),pixley(inverse(X_158),X_158,n1)) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,n1)) = multiply(n1,add(inverse(X_158),inverse(X_158))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_158),n1),pixley(inverse(X_158),X_158,multiply(inverse(X_158),n1))),multiply(n1,add(inverse(X_158),inverse(X_158)))) )],[refute_0_345,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(multiply(inverse(n1),n1),pixley(inverse(n1),n1,n1)) = multiply(n1,add(inverse(n1),inverse(n1))),
inference(subst,[],[refute_0_360:[bind(X_158,$fot(n1))]]) ).
cnf(refute_0_362,plain,
pixley(inverse(n1),n1,n1) = inverse(n1),
inference(subst,[],[pixley2:[bind(X,$fot(inverse(n1))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_363,plain,
( multiply(multiply(inverse(n1),n1),pixley(inverse(n1),n1,n1)) != multiply(n1,add(inverse(n1),inverse(n1)))
| pixley(inverse(n1),n1,n1) != inverse(n1)
| multiply(multiply(inverse(n1),n1),inverse(n1)) = multiply(n1,add(inverse(n1),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(n1),n1),pixley(inverse(n1),n1,n1)),multiply(n1,add(inverse(n1),inverse(n1)))) ),[0,1],$fot(inverse(n1))]]) ).
cnf(refute_0_364,plain,
( multiply(multiply(inverse(n1),n1),pixley(inverse(n1),n1,n1)) != multiply(n1,add(inverse(n1),inverse(n1)))
| multiply(multiply(inverse(n1),n1),inverse(n1)) = multiply(n1,add(inverse(n1),inverse(n1))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,n1),inverse(n1)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(multiply(inverse(n1),n1),inverse(n1)) = multiply(n1,add(inverse(n1),inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),pixley(inverse(n1),n1,n1)),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != multiply(n1,add(inverse(n1),inverse(n1)))
| multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) != add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1))
| multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))),add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1))) ),[1,0],$fot(multiply(n1,add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_367,plain,
( multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) != add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1))
| multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))),add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1))) )],[refute_0_307,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) = multiply(inverse(X_113),add(X_112,n1)),
inference(subst,[],[multiply_add:[bind(X,$fot(multiply(inverse(X_113),inverse(X_113)))),bind(Y,$fot(multiply(inverse(X_113),add(X_112,n1))))]]) ).
cnf(refute_0_370,plain,
pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))) = add(multiply(X_10,inverse(X_11)),multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(add(X,add(X_10,inverse(X_11)))))]]) ).
cnf(refute_0_371,plain,
multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))) = add(X_10,inverse(X_11)),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(X_10,inverse(X_11))))]]) ).
cnf(refute_0_372,plain,
( multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))) != add(X_10,inverse(X_11))
| pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))) != add(multiply(X_10,inverse(X_11)),multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))))
| pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))) = add(multiply(X_10,inverse(X_11)),add(X_10,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))),add(multiply(X_10,inverse(X_11)),multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))))) ),[1,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_373,plain,
( pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))) != add(multiply(X_10,inverse(X_11)),multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))))
| pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))) = add(multiply(X_10,inverse(X_11)),add(X_10,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))),add(X_10,inverse(X_11))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))) = add(multiply(X_10,inverse(X_11)),add(X_10,inverse(X_11))),
inference(resolve,[$cnf( $equal(pixley(X_10,X_11,add(X,add(X_10,inverse(X_11)))),add(multiply(X_10,inverse(X_11)),multiply(add(X,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) = add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111))),
inference(subst,[],[refute_0_374:[bind(X,$fot(X_109)),bind(X_10,$fot(inverse(X_111))),bind(X_11,$fot(X_111))]]) ).
cnf(refute_0_376,plain,
multiply(inverse(X_111),add(X,n1)) = add(inverse(X_111),inverse(X_111)),
inference(subst,[],[refute_0_127:[bind(X_47,$fot(X_111))]]) ).
cnf(refute_0_377,plain,
( multiply(inverse(X_111),add(X,n1)) != add(inverse(X_111),inverse(X_111))
| add(inverse(X_111),inverse(X_111)) = multiply(inverse(X_111),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_111),add(X,n1)))),bind(Y0,$fot(add(inverse(X_111),inverse(X_111))))]]) ).
cnf(refute_0_378,plain,
add(inverse(X_111),inverse(X_111)) = multiply(inverse(X_111),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),add(X,n1)),add(inverse(X_111),inverse(X_111))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
( add(inverse(X_111),inverse(X_111)) != multiply(inverse(X_111),add(X,n1))
| pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) != add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111)))
| pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) = add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))),add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111)))) ),[1,1],$fot(multiply(inverse(X_111),add(X,n1)))]]) ).
cnf(refute_0_380,plain,
( pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) != add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111)))
| pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) = add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) = add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))),
inference(resolve,[$cnf( $equal(pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))),add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111)))) )],[refute_0_375,refute_0_380]) ).
cnf(refute_0_382,plain,
( pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) != add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1)))
| pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) != add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111)))
| add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111))) = add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))),add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1)))) ),[0],$fot(add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111))))]]) ).
cnf(refute_0_383,plain,
( pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))) != add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1)))
| add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111))) = add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))),add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111)))) )],[refute_0_375,refute_0_382]) ).
cnf(refute_0_384,plain,
add(multiply(inverse(X_111),inverse(X_111)),add(inverse(X_111),inverse(X_111))) = add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1))),
inference(resolve,[$cnf( $equal(pixley(inverse(X_111),X_111,add(X_109,add(inverse(X_111),inverse(X_111)))),add(multiply(inverse(X_111),inverse(X_111)),multiply(inverse(X_111),add(X,n1)))) )],[refute_0_381,refute_0_383]) ).
cnf(refute_0_385,plain,
add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))) = add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),
inference(subst,[],[refute_0_384:[bind(X,$fot(X_112)),bind(X_111,$fot(X_113))]]) ).
cnf(refute_0_386,plain,
( add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))) != add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1)))
| add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))) = add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))))),bind(Y0,$fot(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1)))))]]) ).
cnf(refute_0_387,plain,
add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))) = add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1)))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
( multiply(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) != multiply(inverse(X_113),add(X_112,n1))
| add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))) != add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113)))
| multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) = multiply(inverse(X_113),add(X_112,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) ),[0,0],$fot(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))))]]) ).
cnf(refute_0_389,plain,
( multiply(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) != multiply(inverse(X_113),add(X_112,n1))
| multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) = multiply(inverse(X_113),add(X_112,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113)))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) = multiply(inverse(X_113),add(X_112,n1)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) )],[refute_0_369,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) = add(inverse(X_123),inverse(X_123)),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(inverse(X_123),inverse(X_123))))]]) ).
cnf(refute_0_392,plain,
multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) = multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1))),
inference(subst,[],[refute_0_136:[bind(X,$fot(X_122)),bind(X_54,$fot(X_123)),bind(X_55,$fot(add(X,add(inverse(X_123),inverse(X_123)))))]]) ).
cnf(refute_0_393,plain,
( multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) != multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1)))
| multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) != add(inverse(X_123),inverse(X_123))
| multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1))) = add(inverse(X_123),inverse(X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) ),[0],$fot(multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1))))]]) ).
cnf(refute_0_394,plain,
( multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) != add(inverse(X_123),inverse(X_123))
| multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1))) = add(inverse(X_123),inverse(X_123)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))),multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1)))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(add(X,add(inverse(X_123),inverse(X_123))),multiply(inverse(X_123),add(X_122,n1))) = add(inverse(X_123),inverse(X_123)),
inference(resolve,[$cnf( $equal(multiply(add(X,add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))),add(inverse(X_123),inverse(X_123))) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) = add(inverse(X_113),inverse(X_113)),
inference(subst,[],[refute_0_395:[bind(X,$fot(multiply(inverse(X_113),inverse(X_113)))),bind(X_122,$fot(X_112)),bind(X_123,$fot(X_113))]]) ).
cnf(refute_0_397,plain,
( multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) != multiply(inverse(X_113),add(X_112,n1))
| multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) != add(inverse(X_113),inverse(X_113))
| add(inverse(X_113),inverse(X_113)) = multiply(inverse(X_113),add(X_112,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) ),[0],$fot(add(inverse(X_113),inverse(X_113)))]]) ).
cnf(refute_0_398,plain,
( multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))) != multiply(inverse(X_113),add(X_112,n1))
| add(inverse(X_113),inverse(X_113)) = multiply(inverse(X_113),add(X_112,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))),add(inverse(X_113),inverse(X_113))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
add(inverse(X_113),inverse(X_113)) = multiply(inverse(X_113),add(X_112,n1)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(inverse(X_113),inverse(X_113)),add(inverse(X_113),inverse(X_113))),multiply(inverse(X_113),add(X_112,n1))),multiply(inverse(X_113),add(X_112,n1))) )],[refute_0_390,refute_0_398]) ).
cnf(refute_0_400,plain,
( add(inverse(X_113),inverse(X_113)) != multiply(inverse(X_113),add(X_112,n1))
| multiply(inverse(X_113),add(X_112,n1)) = add(inverse(X_113),inverse(X_113)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(inverse(X_113),inverse(X_113)))),bind(Y0,$fot(multiply(inverse(X_113),add(X_112,n1))))]]) ).
cnf(refute_0_401,plain,
multiply(inverse(X_113),add(X_112,n1)) = add(inverse(X_113),inverse(X_113)),
inference(resolve,[$cnf( $equal(add(inverse(X_113),inverse(X_113)),multiply(inverse(X_113),add(X_112,n1))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(inverse(n1),add(multiply(inverse(n1),n1),n1)) = add(inverse(n1),inverse(n1)),
inference(subst,[],[refute_0_401:[bind(X_112,$fot(multiply(inverse(n1),n1))),bind(X_113,$fot(n1))]]) ).
cnf(refute_0_403,plain,
add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) = multiply(inverse(n1),add(multiply(inverse(n1),n1),n1)),
inference(subst,[],[refute_0_91:[bind(X,$fot(n1)),bind(X_22,$fot(multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_404,plain,
( multiply(inverse(n1),add(multiply(inverse(n1),n1),n1)) != add(inverse(n1),inverse(n1))
| add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) != multiply(inverse(n1),add(multiply(inverse(n1),n1),n1))
| add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) = add(inverse(n1),inverse(n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)))),bind(Y0,$fot(multiply(inverse(n1),add(multiply(inverse(n1),n1),n1)))),bind(Z0,$fot(add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_405,plain,
( multiply(inverse(n1),add(multiply(inverse(n1),n1),n1)) != add(inverse(n1),inverse(n1))
| add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) = add(inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)),multiply(inverse(n1),add(multiply(inverse(n1),n1),n1))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),n1)),add(inverse(n1),inverse(n1))) )],[refute_0_402,refute_0_405]) ).
cnf(refute_0_407,plain,
( multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) != add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1))
| add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) != add(inverse(n1),inverse(n1))
| multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(inverse(n1),inverse(n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))))),bind(Y0,$fot(add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)))),bind(Z0,$fot(add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_408,plain,
( add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) != add(inverse(n1),inverse(n1))
| multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))),add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1))) )],[refute_0_307,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)),add(inverse(n1),inverse(n1))) )],[refute_0_406,refute_0_408]) ).
cnf(refute_0_410,plain,
( multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) != add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))
| multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) != add(inverse(n1),inverse(n1))
| add(inverse(n1),inverse(n1)) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))),add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))) ),[0],$fot(add(inverse(n1),inverse(n1)))]]) ).
cnf(refute_0_411,plain,
( multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))) != add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))
| add(inverse(n1),inverse(n1)) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))),add(inverse(n1),inverse(n1))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
add(inverse(n1),inverse(n1)) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(multiply(inverse(n1),n1),add(X,inverse(n1)))),add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))) )],[refute_0_368,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(inverse(n1),add(n1,n1)) = add(inverse(n1),inverse(n1)),
inference(subst,[],[refute_0_401:[bind(X_112,$fot(n1)),bind(X_113,$fot(n1))]]) ).
cnf(refute_0_414,plain,
multiply(n1,add(inverse(n1),inverse(n1))) = multiply(inverse(n1),add(n1,n1)),
inference(subst,[],[refute_0_272:[bind(X_47,$fot(n1))]]) ).
cnf(refute_0_415,plain,
( multiply(inverse(n1),add(n1,n1)) != add(inverse(n1),inverse(n1))
| multiply(n1,add(inverse(n1),inverse(n1))) != multiply(inverse(n1),add(n1,n1))
| multiply(n1,add(inverse(n1),inverse(n1))) = add(inverse(n1),inverse(n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(n1,add(inverse(n1),inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,n1)))),bind(Z0,$fot(add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_416,plain,
( multiply(inverse(n1),add(n1,n1)) != add(inverse(n1),inverse(n1))
| multiply(n1,add(inverse(n1),inverse(n1))) = add(inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),multiply(inverse(n1),add(n1,n1))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(n1,add(inverse(n1),inverse(n1))) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,n1)),add(inverse(n1),inverse(n1))) )],[refute_0_413,refute_0_416]) ).
cnf(refute_0_418,plain,
add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) = add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)),
introduced(tautology,[refl,[$fot(add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)))]]) ).
cnf(refute_0_419,plain,
( multiply(n1,add(inverse(n1),inverse(n1))) != add(inverse(n1),inverse(n1))
| add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) != add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))
| add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)),add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))) ),[1,0],$fot(add(inverse(n1),inverse(n1)))]]) ).
cnf(refute_0_420,plain,
( multiply(n1,add(inverse(n1),inverse(n1))) != add(inverse(n1),inverse(n1))
| add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)),add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),add(inverse(n1),inverse(n1))) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
( add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| add(inverse(n1),inverse(n1)) != add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))
| add(inverse(n1),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))) ),[1],$fot(add(add(inverse(n1),inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_423,plain,
( add(inverse(n1),inverse(n1)) != add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))
| add(inverse(n1),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1)),add(add(inverse(n1),inverse(n1)),inverse(n1))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
add(inverse(n1),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(multiply(n1,add(inverse(n1),inverse(n1))),inverse(n1))) )],[refute_0_412,refute_0_423]) ).
cnf(refute_0_425,plain,
( add(inverse(n1),inverse(n1)) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| add(add(inverse(n1),inverse(n1)),inverse(n1)) = add(inverse(n1),inverse(n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(inverse(n1),inverse(n1)))),bind(Y0,$fot(add(add(inverse(n1),inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_426,plain,
add(add(inverse(n1),inverse(n1)),inverse(n1)) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(add(inverse(n1),inverse(n1)),inverse(n1))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( multiply(inverse(n1),add(add(inverse(n1),inverse(n1)),inverse(n1))) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| add(add(inverse(n1),inverse(n1)),inverse(n1)) != add(inverse(n1),inverse(n1))
| multiply(inverse(n1),add(inverse(n1),inverse(n1))) = add(inverse(n1),multiply(inverse(n1),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(add(inverse(n1),inverse(n1)),inverse(n1))),add(inverse(n1),multiply(inverse(n1),inverse(n1)))) ),[0,1],$fot(add(inverse(n1),inverse(n1)))]]) ).
cnf(refute_0_428,plain,
( multiply(inverse(n1),add(add(inverse(n1),inverse(n1)),inverse(n1))) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| multiply(inverse(n1),add(inverse(n1),inverse(n1))) = add(inverse(n1),multiply(inverse(n1),inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(n1),inverse(n1)),inverse(n1)),add(inverse(n1),inverse(n1))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(inverse(n1),add(inverse(n1),inverse(n1))) = add(inverse(n1),multiply(inverse(n1),inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(add(inverse(n1),inverse(n1)),inverse(n1))),add(inverse(n1),multiply(inverse(n1),inverse(n1)))) )],[refute_0_306,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(pixley(X_55,X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(X_55)),bind(X_11,$fot(X_54)),bind(X_12,$fot(X_55))]]) ).
cnf(refute_0_431,plain,
pixley(X_55,X_54,X_55) = X_55,
inference(subst,[],[pixley3:[bind(X,$fot(X_55)),bind(Y,$fot(X_54))]]) ).
cnf(refute_0_432,plain,
( multiply(pixley(X_55,X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != multiply(X_55,add(X_55,inverse(X_54)))
| pixley(X_55,X_54,X_55) != X_55
| multiply(X_55,multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_55,X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),multiply(X_55,add(X_55,inverse(X_54)))) ),[0,0],$fot(X_55)]]) ).
cnf(refute_0_433,plain,
( multiply(pixley(X_55,X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(X_55,multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(pixley(X_55,X_54,X_55),X_55) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(X_55,multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_55,X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),multiply(X_55,add(X_55,inverse(X_54)))) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(inverse(X_91),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))),
inference(subst,[],[refute_0_434:[bind(X_54,$fot(X_91)),bind(X_55,$fot(inverse(X_91)))]]) ).
cnf(refute_0_436,plain,
multiply(inverse(X_91),add(X,n1)) = add(inverse(X_91),inverse(X_91)),
inference(subst,[],[refute_0_127:[bind(X_47,$fot(X_91))]]) ).
cnf(refute_0_437,plain,
( multiply(inverse(X_91),add(X,n1)) != add(inverse(X_91),inverse(X_91))
| add(inverse(X_91),inverse(X_91)) = multiply(inverse(X_91),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_91),add(X,n1)))),bind(Y0,$fot(add(inverse(X_91),inverse(X_91))))]]) ).
cnf(refute_0_438,plain,
add(inverse(X_91),inverse(X_91)) = multiply(inverse(X_91),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),add(X,n1)),add(inverse(X_91),inverse(X_91))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| add(inverse(X_91),inverse(X_91)) != multiply(inverse(X_91),add(X,n1))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) ),[0,1,1],$fot(multiply(inverse(X_91),add(X,n1)))]]) ).
cnf(refute_0_440,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_91),inverse(X_91)),multiply(inverse(X_91),add(X,n1))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) )],[refute_0_435,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(multiply(X_58,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),X_58)) = multiply(multiply(X_12,n1),X_58),
inference(subst,[],[refute_0_236:[bind(X_21,$fot(X_58)),bind(X_22,$fot(multiply(X_11,inverse(X_11)))),bind(X_23,$fot(multiply(X_12,n1)))]]) ).
cnf(refute_0_443,plain,
( X_12 != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
| add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) = X_12 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_12)),bind(Y0,$fot(add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))))]]) ).
cnf(refute_0_444,plain,
add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) = X_12,
inference(resolve,[$cnf( $equal(X_12,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) )],[refute_0_110,refute_0_443]) ).
cnf(refute_0_445,plain,
( multiply(multiply(X_58,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),X_58)) != multiply(multiply(X_12,n1),X_58)
| add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) != X_12
| multiply(multiply(X_58,X_12),multiply(multiply(X_12,n1),X_58)) = multiply(multiply(X_12,n1),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),X_58)),multiply(multiply(X_12,n1),X_58)) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_446,plain,
( multiply(multiply(X_58,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),X_58)) != multiply(multiply(X_12,n1),X_58)
| multiply(multiply(X_58,X_12),multiply(multiply(X_12,n1),X_58)) = multiply(multiply(X_12,n1),X_58) ),
inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),X_12) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(multiply(X_58,X_12),multiply(multiply(X_12,n1),X_58)) = multiply(multiply(X_12,n1),X_58),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),X_58)),multiply(multiply(X_12,n1),X_58)) )],[refute_0_442,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(multiply(add(X_61,X_61),X_61),multiply(multiply(X_61,n1),add(X_61,X_61))) = multiply(multiply(X_61,n1),add(X_61,X_61)),
inference(subst,[],[refute_0_447:[bind(X_12,$fot(X_61)),bind(X_58,$fot(add(X_61,X_61)))]]) ).
cnf(refute_0_449,plain,
multiply(multiply(X_61,n1),add(X_61,X_61)) = multiply(n1,add(X_61,X_61)),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(X_61))]]) ).
cnf(refute_0_450,plain,
( multiply(multiply(X_61,n1),add(X_61,X_61)) != multiply(n1,add(X_61,X_61))
| multiply(multiply(add(X_61,X_61),X_61),multiply(multiply(X_61,n1),add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(multiply(X_61,n1),add(X_61,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(multiply(X_61,n1),add(X_61,X_61))),multiply(multiply(X_61,n1),add(X_61,X_61))) ),[0,1],$fot(multiply(n1,add(X_61,X_61)))]]) ).
cnf(refute_0_451,plain,
( multiply(multiply(add(X_61,X_61),X_61),multiply(multiply(X_61,n1),add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(multiply(X_61,n1),add(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,n1),add(X_61,X_61)),multiply(n1,add(X_61,X_61))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(multiply(X_61,n1),add(X_61,X_61)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(multiply(X_61,n1),add(X_61,X_61))),multiply(multiply(X_61,n1),add(X_61,X_61))) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(add(X_61,X_61),X_61) = X_61,
inference(subst,[],[multiply_add:[bind(X,$fot(X_61)),bind(Y,$fot(X_61))]]) ).
cnf(refute_0_454,plain,
multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))))]]) ).
cnf(refute_0_455,plain,
( multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) != multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61)))
| multiply(add(X_61,X_61),X_61) != X_61
| multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(X_61,multiply(n1,add(X_61,X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))),multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61)))) ),[1,0],$fot(X_61)]]) ).
cnf(refute_0_456,plain,
( multiply(add(X_61,X_61),X_61) != X_61
| multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(X_61,multiply(n1,add(X_61,X_61))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))),multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61)))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) = multiply(X_61,multiply(n1,add(X_61,X_61))),
inference(resolve,[$cnf( $equal(multiply(add(X_61,X_61),X_61),X_61) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) != multiply(X_61,multiply(n1,add(X_61,X_61)))
| multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(X_61,multiply(n1,add(X_61,X_61))) = multiply(multiply(X_61,n1),add(X_61,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))),multiply(multiply(X_61,n1),add(X_61,X_61))) ),[0],$fot(multiply(X_61,multiply(n1,add(X_61,X_61))))]]) ).
cnf(refute_0_459,plain,
( multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(X_61,multiply(n1,add(X_61,X_61))) = multiply(multiply(X_61,n1),add(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))),multiply(X_61,multiply(n1,add(X_61,X_61)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
( multiply(X_61,multiply(n1,add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(multiply(X_61,n1),add(X_61,X_61)) != multiply(n1,add(X_61,X_61))
| multiply(X_61,multiply(n1,add(X_61,X_61))) = multiply(n1,add(X_61,X_61)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_61,multiply(n1,add(X_61,X_61))),multiply(n1,add(X_61,X_61))) ),[0],$fot(multiply(multiply(X_61,n1),add(X_61,X_61)))]]) ).
cnf(refute_0_461,plain,
( multiply(X_61,multiply(n1,add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(X_61,multiply(n1,add(X_61,X_61))) = multiply(n1,add(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_61,n1),add(X_61,X_61)),multiply(n1,add(X_61,X_61))) )],[refute_0_449,refute_0_460]) ).
cnf(refute_0_462,plain,
( multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))) != multiply(multiply(X_61,n1),add(X_61,X_61))
| multiply(X_61,multiply(n1,add(X_61,X_61))) = multiply(n1,add(X_61,X_61)) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(n1,add(X_61,X_61))),multiply(multiply(X_61,n1),add(X_61,X_61))) )],[refute_0_459,refute_0_461]) ).
cnf(refute_0_463,plain,
multiply(X_61,multiply(n1,add(X_61,X_61))) = multiply(n1,add(X_61,X_61)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_61,X_61),X_61),multiply(n1,add(X_61,X_61))),multiply(multiply(X_61,n1),add(X_61,X_61))) )],[refute_0_452,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))) = multiply(n1,add(inverse(X_91),inverse(X_91))),
inference(subst,[],[refute_0_463:[bind(X_61,$fot(inverse(X_91)))]]) ).
cnf(refute_0_465,plain,
multiply(inverse(X_47),multiply(n1,add(inverse(X_47),inverse(X_47)))) = multiply(n1,add(inverse(X_47),inverse(X_47))),
inference(subst,[],[refute_0_463:[bind(X_61,$fot(inverse(X_47)))]]) ).
cnf(refute_0_466,plain,
( multiply(inverse(X_47),add(X,n1)) != add(inverse(X_47),inverse(X_47))
| add(inverse(X_47),inverse(X_47)) = multiply(inverse(X_47),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_47),add(X,n1)))),bind(Y0,$fot(add(inverse(X_47),inverse(X_47))))]]) ).
cnf(refute_0_467,plain,
add(inverse(X_47),inverse(X_47)) = multiply(inverse(X_47),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(X,n1)),add(inverse(X_47),inverse(X_47))) )],[refute_0_127,refute_0_466]) ).
cnf(refute_0_468,plain,
( multiply(inverse(X_47),multiply(n1,add(inverse(X_47),inverse(X_47)))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| add(inverse(X_47),inverse(X_47)) != multiply(inverse(X_47),add(X,n1))
| multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(n1,add(inverse(X_47),inverse(X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,add(inverse(X_47),inverse(X_47)))),multiply(n1,add(inverse(X_47),inverse(X_47)))) ),[0,1,1],$fot(multiply(inverse(X_47),add(X,n1)))]]) ).
cnf(refute_0_469,plain,
( multiply(inverse(X_47),multiply(n1,add(inverse(X_47),inverse(X_47)))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(n1,add(inverse(X_47),inverse(X_47))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_47),inverse(X_47)),multiply(inverse(X_47),add(X,n1))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(n1,add(inverse(X_47),inverse(X_47))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,add(inverse(X_47),inverse(X_47)))),multiply(n1,add(inverse(X_47),inverse(X_47)))) )],[refute_0_465,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(n1,multiply(inverse(X_47),add(X,n1))) = multiply(inverse(X_47),add(X,n1)),
inference(subst,[],[refute_0_268:[bind(X_165,$fot(X)),bind(X_166,$fot(X_47))]]) ).
cnf(refute_0_472,plain,
multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))))]]) ).
cnf(refute_0_473,plain,
( multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) != multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1))))
| multiply(n1,multiply(inverse(X_47),add(X,n1))) != multiply(inverse(X_47),add(X,n1))
| multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))),multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1))))) ),[1,1],$fot(multiply(inverse(X_47),add(X,n1)))]]) ).
cnf(refute_0_474,plain,
( multiply(n1,multiply(inverse(X_47),add(X,n1))) != multiply(inverse(X_47),add(X,n1))
| multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))),multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1))))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) = multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(X_47),add(X,n1))),multiply(inverse(X_47),add(X,n1))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) != multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1)))
| multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))) = multiply(n1,add(inverse(X_47),inverse(X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))),multiply(n1,add(inverse(X_47),inverse(X_47)))) ),[0],$fot(multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))))]]) ).
cnf(refute_0_477,plain,
( multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))) != multiply(n1,add(inverse(X_47),inverse(X_47)))
| multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))) = multiply(n1,add(inverse(X_47),inverse(X_47))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))),multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1)))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
multiply(inverse(X_47),multiply(inverse(X_47),add(X,n1))) = multiply(n1,add(inverse(X_47),inverse(X_47))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(n1,multiply(inverse(X_47),add(X,n1)))),multiply(n1,add(inverse(X_47),inverse(X_47)))) )],[refute_0_470,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))) = multiply(n1,add(inverse(X_91),inverse(X_91))),
inference(subst,[],[refute_0_478:[bind(X_47,$fot(X_91))]]) ).
cnf(refute_0_480,plain,
multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))))]]) ).
cnf(refute_0_481,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) != multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))))
| multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))) != multiply(n1,add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))))) ),[1,1],$fot(multiply(n1,add(inverse(X_91),inverse(X_91))))]]) ).
cnf(refute_0_482,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))) != multiply(n1,add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1))),multiply(n1,add(inverse(X_91),inverse(X_91)))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) != multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91))))
| multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))) != multiply(n1,add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(n1,add(inverse(X_91),inverse(X_91))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))))),bind(Y0,$fot(multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))))),bind(Z0,$fot(multiply(n1,add(inverse(X_91),inverse(X_91)))))]]) ).
cnf(refute_0_485,plain,
( multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))) != multiply(n1,add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(n1,add(inverse(X_91),inverse(X_91))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) = multiply(n1,add(inverse(X_91),inverse(X_91))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(n1,add(inverse(X_91),inverse(X_91)))),multiply(n1,add(inverse(X_91),inverse(X_91)))) )],[refute_0_464,refute_0_485]) ).
cnf(refute_0_487,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) != multiply(n1,add(inverse(X_91),inverse(X_91)))
| multiply(n1,add(inverse(X_91),inverse(X_91))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) ),[0],$fot(multiply(n1,add(inverse(X_91),inverse(X_91))))]]) ).
cnf(refute_0_488,plain,
( multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| multiply(n1,add(inverse(X_91),inverse(X_91))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),multiply(n1,add(inverse(X_91),inverse(X_91)))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(n1,add(inverse(X_91),inverse(X_91))) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),multiply(inverse(X_91),multiply(inverse(X_91),add(X,n1)))),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) )],[refute_0_441,refute_0_488]) ).
cnf(refute_0_490,plain,
multiply(n1,add(inverse(X_91),inverse(X_91))) = multiply(inverse(X_91),add(n1,n1)),
inference(subst,[],[refute_0_272:[bind(X_47,$fot(X_91))]]) ).
cnf(refute_0_491,plain,
( multiply(n1,add(inverse(X_91),inverse(X_91))) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| multiply(n1,add(inverse(X_91),inverse(X_91))) != multiply(inverse(X_91),add(n1,n1))
| multiply(inverse(X_91),add(n1,n1)) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(X_91),inverse(X_91))),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) ),[0],$fot(multiply(inverse(X_91),add(n1,n1)))]]) ).
cnf(refute_0_492,plain,
( multiply(n1,add(inverse(X_91),inverse(X_91))) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),add(n1,n1)) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_91),inverse(X_91))),multiply(inverse(X_91),add(n1,n1))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(inverse(X_91),add(n1,n1)) = multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_91),inverse(X_91))),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( multiply(inverse(X_91),add(n1,n1)) != multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))
| multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) = multiply(inverse(X_91),add(n1,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_91),add(n1,n1)))),bind(Y0,$fot(multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))))]]) ).
cnf(refute_0_495,plain,
multiply(inverse(X_91),add(inverse(X_91),inverse(X_91))) = multiply(inverse(X_91),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),add(n1,n1)),multiply(inverse(X_91),add(inverse(X_91),inverse(X_91)))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
multiply(inverse(n1),add(inverse(n1),inverse(n1))) = multiply(inverse(n1),add(n1,n1)),
inference(subst,[],[refute_0_495:[bind(X_91,$fot(n1))]]) ).
cnf(refute_0_497,plain,
( multiply(inverse(n1),add(inverse(n1),inverse(n1))) != multiply(inverse(n1),add(n1,n1))
| multiply(inverse(n1),add(n1,n1)) != add(inverse(n1),inverse(n1))
| multiply(inverse(n1),add(inverse(n1),inverse(n1))) = add(inverse(n1),inverse(n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(inverse(n1),inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,n1)))),bind(Z0,$fot(add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_498,plain,
( multiply(inverse(n1),add(n1,n1)) != add(inverse(n1),inverse(n1))
| multiply(inverse(n1),add(inverse(n1),inverse(n1))) = add(inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),inverse(n1))),multiply(inverse(n1),add(n1,n1))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(inverse(n1),add(inverse(n1),inverse(n1))) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,n1)),add(inverse(n1),inverse(n1))) )],[refute_0_413,refute_0_498]) ).
cnf(refute_0_500,plain,
( multiply(inverse(n1),add(inverse(n1),inverse(n1))) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| multiply(inverse(n1),add(inverse(n1),inverse(n1))) != add(inverse(n1),inverse(n1))
| add(inverse(n1),inverse(n1)) = add(inverse(n1),multiply(inverse(n1),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),inverse(n1))),add(inverse(n1),multiply(inverse(n1),inverse(n1)))) ),[0],$fot(add(inverse(n1),inverse(n1)))]]) ).
cnf(refute_0_501,plain,
( multiply(inverse(n1),add(inverse(n1),inverse(n1))) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| add(inverse(n1),inverse(n1)) = add(inverse(n1),multiply(inverse(n1),inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),inverse(n1))),add(inverse(n1),inverse(n1))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
add(n1,inverse(n1)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(n1))]]) ).
cnf(refute_0_503,plain,
multiply(inverse(n1),add(n1,inverse(n1))) = multiply(inverse(n1),add(n1,inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(n1,inverse(n1))))]]) ).
cnf(refute_0_504,plain,
( multiply(inverse(n1),add(n1,inverse(n1))) != multiply(inverse(n1),add(n1,inverse(n1)))
| add(n1,inverse(n1)) != n1
| multiply(inverse(n1),add(n1,inverse(n1))) = multiply(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(n1))),multiply(inverse(n1),add(n1,inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_505,plain,
( add(n1,inverse(n1)) != n1
| multiply(inverse(n1),add(n1,inverse(n1))) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(n1))),multiply(inverse(n1),add(n1,inverse(n1)))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(inverse(n1),add(n1,inverse(n1))) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( multiply(inverse(X),add(n1,X_23)) != add(inverse(X),multiply(X_23,inverse(X)))
| add(inverse(X),multiply(X_23,inverse(X))) = multiply(inverse(X),add(n1,X_23)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X),add(n1,X_23)))),bind(Y0,$fot(add(inverse(X),multiply(X_23,inverse(X)))))]]) ).
cnf(refute_0_508,plain,
add(inverse(X),multiply(X_23,inverse(X))) = multiply(inverse(X),add(n1,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_23)),add(inverse(X),multiply(X_23,inverse(X)))) )],[refute_0_35,refute_0_507]) ).
cnf(refute_0_509,plain,
add(inverse(n1),multiply(inverse(n1),inverse(n1))) = multiply(inverse(n1),add(n1,inverse(n1))),
inference(subst,[],[refute_0_508:[bind(X,$fot(n1)),bind(X_23,$fot(inverse(n1)))]]) ).
cnf(refute_0_510,plain,
( multiply(inverse(n1),add(n1,inverse(n1))) != multiply(inverse(n1),n1)
| add(inverse(n1),multiply(inverse(n1),inverse(n1))) != multiply(inverse(n1),add(n1,inverse(n1)))
| add(inverse(n1),multiply(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(inverse(n1),inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,inverse(n1))))),bind(Z0,$fot(multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_511,plain,
( multiply(inverse(n1),add(n1,inverse(n1))) != multiply(inverse(n1),n1)
| add(inverse(n1),multiply(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(inverse(n1),inverse(n1))),multiply(inverse(n1),add(n1,inverse(n1)))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
add(inverse(n1),multiply(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(n1))),multiply(inverse(n1),n1)) )],[refute_0_506,refute_0_511]) ).
cnf(refute_0_513,plain,
( add(inverse(n1),multiply(inverse(n1),inverse(n1))) != multiply(inverse(n1),n1)
| add(inverse(n1),inverse(n1)) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| add(inverse(n1),inverse(n1)) = multiply(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(inverse(n1),multiply(inverse(n1),inverse(n1)))) ),[1],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_514,plain,
( add(inverse(n1),inverse(n1)) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| add(inverse(n1),inverse(n1)) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(inverse(n1),inverse(n1))),multiply(inverse(n1),n1)) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
( multiply(inverse(n1),add(inverse(n1),inverse(n1))) != add(inverse(n1),multiply(inverse(n1),inverse(n1)))
| add(inverse(n1),inverse(n1)) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(inverse(n1),multiply(inverse(n1),inverse(n1)))) )],[refute_0_501,refute_0_514]) ).
cnf(refute_0_516,plain,
add(inverse(n1),inverse(n1)) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),inverse(n1))),add(inverse(n1),multiply(inverse(n1),inverse(n1)))) )],[refute_0_429,refute_0_515]) ).
cnf(refute_0_517,plain,
( add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != add(inverse(add(inverse(n1),inverse(n1))),multiply(inverse(n1),n1))
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),add(inverse(add(inverse(n1),inverse(n1))),multiply(inverse(n1),n1))) ),[1,0,0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_518,plain,
( pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != add(inverse(add(inverse(n1),inverse(n1))),multiply(inverse(n1),n1))
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),add(inverse(add(inverse(n1),inverse(n1))),multiply(inverse(n1),n1))) )],[refute_0_305,refute_0_518]) ).
cnf(refute_0_520,plain,
pixley(n1,inverse(n1),inverse(n1)) = n1,
inference(subst,[],[pixley2:[bind(X,$fot(n1)),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_521,plain,
multiply(add(inverse(n1),inverse(n1)),inverse(n1)) = inverse(n1),
inference(subst,[],[multiply_add:[bind(X,$fot(inverse(n1))),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_522,plain,
( multiply(add(inverse(n1),inverse(n1)),inverse(n1)) != inverse(n1)
| add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| multiply(multiply(inverse(n1),n1),inverse(n1)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),inverse(n1)),inverse(n1)),inverse(n1)) ),[0,0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_523,plain,
( multiply(add(inverse(n1),inverse(n1)),inverse(n1)) != inverse(n1)
| multiply(multiply(inverse(n1),n1),inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(multiply(inverse(n1),n1),inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),inverse(n1)),inverse(n1)),inverse(n1)) )],[refute_0_521,refute_0_523]) ).
cnf(refute_0_525,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != multiply(n1,add(inverse(n1),inverse(n1)))
| multiply(n1,add(inverse(n1),inverse(n1))) != add(inverse(n1),inverse(n1))
| multiply(multiply(inverse(n1),n1),inverse(n1)) = add(inverse(n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),add(inverse(n1),inverse(n1))) ),[0],$fot(multiply(n1,add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_526,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != multiply(n1,add(inverse(n1),inverse(n1)))
| multiply(multiply(inverse(n1),n1),inverse(n1)) = add(inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),add(inverse(n1),inverse(n1))) )],[refute_0_417,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(multiply(inverse(n1),n1),inverse(n1)) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_365,refute_0_526]) ).
cnf(refute_0_528,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != add(inverse(n1),inverse(n1))
| add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| multiply(multiply(inverse(n1),n1),inverse(n1)) = multiply(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),multiply(inverse(n1),n1)) ),[0],$fot(add(inverse(n1),inverse(n1)))]]) ).
cnf(refute_0_529,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != add(inverse(n1),inverse(n1))
| multiply(multiply(inverse(n1),n1),inverse(n1)) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(multiply(inverse(n1),n1),inverse(n1)) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),add(inverse(n1),inverse(n1))) )],[refute_0_527,refute_0_529]) ).
cnf(refute_0_531,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != multiply(inverse(n1),n1)
| multiply(multiply(inverse(n1),n1),inverse(n1)) != inverse(n1)
| multiply(inverse(n1),n1) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) ),[0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_532,plain,
( multiply(multiply(inverse(n1),n1),inverse(n1)) != inverse(n1)
| multiply(inverse(n1),n1) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
multiply(inverse(n1),n1) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) )],[refute_0_524,refute_0_532]) ).
cnf(refute_0_534,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| add(inverse(n1),inverse(n1)) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),inverse(n1)))),bind(Y0,$fot(multiply(inverse(n1),n1))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_535,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| add(inverse(n1),inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_534]) ).
cnf(refute_0_536,plain,
add(inverse(n1),inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_535]) ).
cnf(refute_0_537,plain,
pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),
introduced(tautology,[refl,[$fot(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_538,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1))
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = pixley(n1,inverse(n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_539,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = pixley(n1,inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = pixley(n1,inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != pixley(n1,inverse(n1),inverse(n1))
| pixley(n1,inverse(n1),inverse(n1)) != n1
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)))),bind(Y0,$fot(pixley(n1,inverse(n1),inverse(n1)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_542,plain,
( pixley(n1,inverse(n1),inverse(n1)) != n1
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = n1 ),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),pixley(n1,inverse(n1),inverse(n1))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) = n1,
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),inverse(n1)),n1) )],[refute_0_520,refute_0_542]) ).
cnf(refute_0_544,plain,
( pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))
| pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != n1
| n1 = add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))) ),[0],$fot(n1)]]) ).
cnf(refute_0_545,plain,
( pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))
| n1 = add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),n1) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
add(inverse(inverse(n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),multiply(inverse(n1),n1)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(n1)),multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_547,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| add(inverse(inverse(n1)),multiply(inverse(n1),n1)) != add(inverse(inverse(n1)),multiply(inverse(n1),n1))
| add(inverse(inverse(n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(n1)),multiply(inverse(n1),n1)),add(inverse(inverse(n1)),multiply(inverse(n1),n1))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_548,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| add(inverse(inverse(n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),multiply(inverse(n1),n1)),add(inverse(inverse(n1)),multiply(inverse(n1),n1))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
add(inverse(inverse(n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_548]) ).
cnf(refute_0_550,plain,
inverse(multiply(inverse(n1),n1)) = inverse(multiply(inverse(n1),n1)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_551,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| inverse(multiply(inverse(n1),n1)) != inverse(multiply(inverse(n1),n1))
| inverse(multiply(inverse(n1),n1)) = inverse(inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(n1),n1)),inverse(multiply(inverse(n1),n1))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_552,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| inverse(multiply(inverse(n1),n1)) = inverse(inverse(n1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(n1),n1)),inverse(multiply(inverse(n1),n1))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
inverse(multiply(inverse(n1),n1)) = inverse(inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_552]) ).
cnf(refute_0_554,plain,
add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)),
introduced(tautology,[refl,[$fot(add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_555,plain,
( add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) != add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))
| inverse(multiply(inverse(n1),n1)) != inverse(inverse(n1))
| add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),multiply(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)),add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))) ),[1,0],$fot(inverse(inverse(n1)))]]) ).
cnf(refute_0_556,plain,
( inverse(multiply(inverse(n1),n1)) != inverse(inverse(n1))
| add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),multiply(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)),add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),multiply(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(n1),n1)),inverse(inverse(n1))) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
( add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) != add(inverse(inverse(n1)),multiply(inverse(n1),n1))
| add(inverse(inverse(n1)),multiply(inverse(n1),n1)) != add(inverse(inverse(n1)),inverse(n1))
| add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)))),bind(Y0,$fot(add(inverse(inverse(n1)),multiply(inverse(n1),n1)))),bind(Z0,$fot(add(inverse(inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_559,plain,
( add(inverse(inverse(n1)),multiply(inverse(n1),n1)) != add(inverse(inverse(n1)),inverse(n1))
| add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)),add(inverse(inverse(n1)),multiply(inverse(n1),n1))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),multiply(inverse(n1),n1)),add(inverse(inverse(n1)),inverse(n1))) )],[refute_0_549,refute_0_559]) ).
cnf(refute_0_561,plain,
( add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) != add(inverse(inverse(n1)),inverse(n1))
| n1 != add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))
| n1 = add(inverse(inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))) ),[1],$fot(add(inverse(inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_562,plain,
( n1 != add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))
| n1 = add(inverse(inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1)),add(inverse(inverse(n1)),inverse(n1))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
( pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)) != add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))
| n1 = add(inverse(inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(n1,add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))) )],[refute_0_545,refute_0_562]) ).
cnf(refute_0_564,plain,
n1 = add(inverse(inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),inverse(n1)),inverse(n1)),add(inverse(multiply(inverse(n1),n1)),multiply(inverse(n1),n1))) )],[refute_0_519,refute_0_563]) ).
cnf(refute_0_565,plain,
( n1 != add(inverse(inverse(n1)),inverse(n1))
| add(inverse(inverse(n1)),inverse(n1)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_566,plain,
add(inverse(inverse(n1)),inverse(n1)) = n1,
inference(resolve,[$cnf( $equal(n1,add(inverse(inverse(n1)),inverse(n1))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( add(inverse(inverse(n1)),inverse(n1)) != n1
| pixley(inverse(inverse(n1)),n1,Z) != add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,add(inverse(inverse(n1)),inverse(n1))))
| pixley(inverse(inverse(n1)),n1,Z) = add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,Z),add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,add(inverse(inverse(n1)),inverse(n1))))) ),[1,1,1],$fot(n1)]]) ).
cnf(refute_0_568,plain,
( pixley(inverse(inverse(n1)),n1,Z) != add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,add(inverse(inverse(n1)),inverse(n1))))
| pixley(inverse(inverse(n1)),n1,Z) = add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(n1)),n1) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
pixley(inverse(inverse(n1)),n1,Z) = add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,Z),add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,add(inverse(inverse(n1)),inverse(n1))))) )],[refute_0_304,refute_0_568]) ).
cnf(refute_0_570,plain,
X_14 = add(multiply(n1,inverse(n1)),multiply(X_14,n1)),
inference(subst,[],[refute_0_110:[bind(X_11,$fot(n1)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_571,plain,
multiply(n1,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_32:[bind(X,$fot(n1))]]) ).
cnf(refute_0_572,plain,
( X_14 != add(multiply(n1,inverse(n1)),multiply(X_14,n1))
| multiply(n1,inverse(n1)) != inverse(n1)
| X_14 = add(inverse(n1),multiply(X_14,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_14,add(multiply(n1,inverse(n1)),multiply(X_14,n1))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_573,plain,
( X_14 != add(multiply(n1,inverse(n1)),multiply(X_14,n1))
| X_14 = add(inverse(n1),multiply(X_14,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(n1)),inverse(n1)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
X_14 = add(inverse(n1),multiply(X_14,n1)),
inference(resolve,[$cnf( $equal(X_14,add(multiply(n1,inverse(n1)),multiply(X_14,n1))) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
( X_14 != add(inverse(n1),multiply(X_14,n1))
| add(inverse(n1),multiply(X_14,n1)) = X_14 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_14)),bind(Y0,$fot(add(inverse(n1),multiply(X_14,n1))))]]) ).
cnf(refute_0_576,plain,
add(inverse(n1),multiply(X_14,n1)) = X_14,
inference(resolve,[$cnf( $equal(X_14,add(inverse(n1),multiply(X_14,n1))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
add(inverse(n1),multiply(Z,n1)) = Z,
inference(subst,[],[refute_0_576:[bind(X_14,$fot(Z))]]) ).
cnf(refute_0_578,plain,
multiply(pixley(X_53,X_55,X_55),multiply(X_55,add(X_53,inverse(X_55)))) = multiply(X_55,add(X_53,inverse(X_55))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(X_53)),bind(X_11,$fot(X_55)),bind(X_12,$fot(X_55))]]) ).
cnf(refute_0_579,plain,
pixley(X_53,X_55,X_55) = X_53,
inference(subst,[],[pixley2:[bind(X,$fot(X_53)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_580,plain,
( multiply(pixley(X_53,X_55,X_55),multiply(X_55,add(X_53,inverse(X_55)))) != multiply(X_55,add(X_53,inverse(X_55)))
| pixley(X_53,X_55,X_55) != X_53
| multiply(X_53,multiply(X_55,add(X_53,inverse(X_55)))) = multiply(X_55,add(X_53,inverse(X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_53,X_55,X_55),multiply(X_55,add(X_53,inverse(X_55)))),multiply(X_55,add(X_53,inverse(X_55)))) ),[0,0],$fot(X_53)]]) ).
cnf(refute_0_581,plain,
( multiply(pixley(X_53,X_55,X_55),multiply(X_55,add(X_53,inverse(X_55)))) != multiply(X_55,add(X_53,inverse(X_55)))
| multiply(X_53,multiply(X_55,add(X_53,inverse(X_55)))) = multiply(X_55,add(X_53,inverse(X_55))) ),
inference(resolve,[$cnf( $equal(pixley(X_53,X_55,X_55),X_53) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(X_53,multiply(X_55,add(X_53,inverse(X_55)))) = multiply(X_55,add(X_53,inverse(X_55))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_53,X_55,X_55),multiply(X_55,add(X_53,inverse(X_55)))),multiply(X_55,add(X_53,inverse(X_55)))) )],[refute_0_578,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(add(X,X_57),multiply(X_57,add(add(X,X_57),inverse(X_57)))) = multiply(X_57,add(add(X,X_57),inverse(X_57))),
inference(subst,[],[refute_0_582:[bind(X_53,$fot(add(X,X_57))),bind(X_55,$fot(X_57))]]) ).
cnf(refute_0_584,plain,
multiply(X_57,add(add(X,X_57),inverse(X_57))) = add(X_57,multiply(inverse(X_57),X_57)),
inference(subst,[],[refute_0_21:[bind(X_21,$fot(X_57)),bind(X_23,$fot(inverse(X_57)))]]) ).
cnf(refute_0_585,plain,
( multiply(X_57,add(add(X,X_57),inverse(X_57))) != add(X_57,multiply(inverse(X_57),X_57))
| multiply(add(X,X_57),multiply(X_57,add(add(X,X_57),inverse(X_57)))) != multiply(X_57,add(add(X,X_57),inverse(X_57)))
| multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) = multiply(X_57,add(add(X,X_57),inverse(X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,X_57),multiply(X_57,add(add(X,X_57),inverse(X_57)))),multiply(X_57,add(add(X,X_57),inverse(X_57)))) ),[0,1],$fot(add(X_57,multiply(inverse(X_57),X_57)))]]) ).
cnf(refute_0_586,plain,
( multiply(add(X,X_57),multiply(X_57,add(add(X,X_57),inverse(X_57)))) != multiply(X_57,add(add(X,X_57),inverse(X_57)))
| multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) = multiply(X_57,add(add(X,X_57),inverse(X_57))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,add(add(X,X_57),inverse(X_57))),add(X_57,multiply(inverse(X_57),X_57))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) = multiply(X_57,add(add(X,X_57),inverse(X_57))),
inference(resolve,[$cnf( $equal(multiply(add(X,X_57),multiply(X_57,add(add(X,X_57),inverse(X_57)))),multiply(X_57,add(add(X,X_57),inverse(X_57)))) )],[refute_0_583,refute_0_586]) ).
cnf(refute_0_588,plain,
( multiply(X_57,add(add(X,X_57),inverse(X_57))) != add(X_57,multiply(inverse(X_57),X_57))
| multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) != multiply(X_57,add(add(X,X_57),inverse(X_57)))
| multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) = add(X_57,multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))),multiply(X_57,add(add(X,X_57),inverse(X_57)))) ),[1],$fot(add(X_57,multiply(inverse(X_57),X_57)))]]) ).
cnf(refute_0_589,plain,
( multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) != multiply(X_57,add(add(X,X_57),inverse(X_57)))
| multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) = add(X_57,multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_57,add(add(X,X_57),inverse(X_57))),add(X_57,multiply(inverse(X_57),X_57))) )],[refute_0_584,refute_0_588]) ).
cnf(refute_0_590,plain,
multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))) = add(X_57,multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(multiply(add(X,X_57),add(X_57,multiply(inverse(X_57),X_57))),multiply(X_57,add(add(X,X_57),inverse(X_57)))) )],[refute_0_587,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(add(inverse(inverse(n1)),inverse(n1)),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) = add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))),
inference(subst,[],[refute_0_590:[bind(X,$fot(inverse(inverse(n1)))),bind(X_57,$fot(inverse(n1)))]]) ).
cnf(refute_0_592,plain,
( multiply(add(inverse(inverse(n1)),inverse(n1)),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| add(inverse(inverse(n1)),inverse(n1)) != n1
| multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) = add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(inverse(n1)),inverse(n1)),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_593,plain,
( multiply(add(inverse(inverse(n1)),inverse(n1)),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) = add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(n1)),n1) )],[refute_0_566,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) = add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(inverse(n1)),inverse(n1)),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_591,refute_0_593]) ).
cnf(refute_0_595,plain,
multiply(n1,add(inverse(n1),Z)) = add(multiply(inverse(n1),n1),multiply(Z,n1)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(n1)),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_596,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| multiply(n1,add(inverse(n1),Z)) != add(multiply(inverse(n1),n1),multiply(Z,n1))
| multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(multiply(inverse(n1),n1),multiply(Z,n1))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_597,plain,
( multiply(n1,add(inverse(n1),Z)) != add(multiply(inverse(n1),n1),multiply(Z,n1))
| multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(multiply(inverse(n1),n1),multiply(Z,n1))) )],[refute_0_595,refute_0_597]) ).
cnf(refute_0_599,plain,
( multiply(n1,add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,n1))
| add(inverse(n1),multiply(Z,n1)) != Z
| multiply(n1,add(inverse(n1),Z)) = Z ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(inverse(n1),Z)),Z) ),[0],$fot(add(inverse(n1),multiply(Z,n1)))]]) ).
cnf(refute_0_600,plain,
( multiply(n1,add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,n1))
| multiply(n1,add(inverse(n1),Z)) = Z ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,n1)),Z) )],[refute_0_577,refute_0_599]) ).
cnf(refute_0_601,plain,
multiply(n1,add(inverse(n1),Z)) = Z,
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(inverse(n1),multiply(Z,n1))) )],[refute_0_598,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) = multiply(inverse(inverse(n1)),inverse(n1)),
inference(subst,[],[refute_0_601:[bind(Z,$fot(multiply(inverse(inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_603,plain,
( multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) != multiply(inverse(inverse(n1)),inverse(n1))
| multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| multiply(inverse(inverse(n1)),inverse(n1)) = add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) ),[0],$fot(multiply(inverse(inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_604,plain,
( multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| multiply(inverse(inverse(n1)),inverse(n1)) = add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))),multiply(inverse(inverse(n1)),inverse(n1))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(inverse(n1),n1) = multiply(inverse(n1),add(n1,inverse(add(inverse(n1),inverse(n1))))),
inference(subst,[],[refute_0_41:[bind(X_37,$fot(inverse(n1))),bind(X_85,$fot(n1))]]) ).
cnf(refute_0_606,plain,
( multiply(inverse(n1),n1) != multiply(inverse(n1),add(n1,inverse(add(inverse(n1),inverse(n1)))))
| add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| multiply(inverse(n1),n1) = multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),n1),multiply(inverse(n1),add(n1,inverse(add(inverse(n1),inverse(n1)))))) ),[1,1,1,0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_607,plain,
( multiply(inverse(n1),n1) != multiply(inverse(n1),add(n1,inverse(add(inverse(n1),inverse(n1)))))
| multiply(inverse(n1),n1) = multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(inverse(n1),n1) = multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),multiply(inverse(n1),add(n1,inverse(add(inverse(n1),inverse(n1)))))) )],[refute_0_605,refute_0_607]) ).
cnf(refute_0_609,plain,
( multiply(inverse(n1),n1) != multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))
| multiply(inverse(n1),n1) != inverse(n1)
| inverse(n1) = multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),n1),multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_610,plain,
( multiply(inverse(n1),n1) != multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))
| inverse(n1) = multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_609]) ).
cnf(refute_0_611,plain,
pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) = pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))),
introduced(tautology,[refl,[$fot(pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))))]]) ).
cnf(refute_0_612,plain,
( inverse(multiply(inverse(n1),n1)) != inverse(inverse(n1))
| pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) != pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1)))
| pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))),pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1)))) ),[1,2],$fot(inverse(inverse(n1)))]]) ).
cnf(refute_0_613,plain,
( inverse(multiply(inverse(n1),n1)) != inverse(inverse(n1))
| pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))),pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) = pixley(inverse(n1),n1,inverse(inverse(n1))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(n1),n1)),inverse(inverse(n1))) )],[refute_0_553,refute_0_613]) ).
cnf(refute_0_615,plain,
pixley(add(inverse(n1),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(add(inverse(n1),inverse(n1)),inverse(n1)))),
inference(subst,[],[refute_0_282:[bind(X,$fot(inverse(n1))),bind(X_11,$fot(n1))]]) ).
cnf(refute_0_616,plain,
( add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(add(inverse(n1),inverse(n1)),inverse(n1))))
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(add(inverse(n1),inverse(n1)),inverse(n1))))) ),[1,1,1,0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_617,plain,
( pixley(add(inverse(n1),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(add(inverse(n1),inverse(n1)),inverse(n1))))
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_616]) ).
cnf(refute_0_618,plain,
pixley(add(inverse(n1),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))),
inference(resolve,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(add(inverse(n1),inverse(n1)),inverse(n1))))) )],[refute_0_615,refute_0_617]) ).
cnf(refute_0_619,plain,
pixley(add(inverse(n1),inverse(n1)),n1,X_12) = pixley(add(inverse(n1),inverse(n1)),n1,X_12),
introduced(tautology,[refl,[$fot(pixley(add(inverse(n1),inverse(n1)),n1,X_12))]]) ).
cnf(refute_0_620,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) != pixley(add(inverse(n1),inverse(n1)),n1,X_12)
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) = pixley(inverse(n1),n1,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),pixley(add(inverse(n1),inverse(n1)),n1,X_12)) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_621,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) = pixley(inverse(n1),n1,X_12) ),
inference(resolve,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),pixley(add(inverse(n1),inverse(n1)),n1,X_12)) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
pixley(add(inverse(n1),inverse(n1)),n1,X_12) = pixley(inverse(n1),n1,X_12),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_536,refute_0_621]) ).
cnf(refute_0_623,plain,
( pixley(add(inverse(n1),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))
| pixley(add(inverse(n1),inverse(n1)),n1,X_12) != pixley(inverse(n1),n1,X_12)
| pixley(inverse(n1),n1,X_12) = add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))) ),[0],$fot(pixley(inverse(n1),n1,X_12))]]) ).
cnf(refute_0_624,plain,
( pixley(add(inverse(n1),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) ),
inference(resolve,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),pixley(inverse(n1),n1,X_12)) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
add(inverse(n1),multiply(X_12,inverse(n1))) = multiply(inverse(n1),add(n1,X_12)),
inference(subst,[],[refute_0_508:[bind(X,$fot(n1)),bind(X_23,$fot(X_12))]]) ).
cnf(refute_0_626,plain,
( add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| add(inverse(n1),inverse(n1)) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| multiply(inverse(n1),n1) = add(add(inverse(n1),inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(add(inverse(n1),inverse(n1)),inverse(n1))) ),[0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_627,plain,
( add(inverse(n1),inverse(n1)) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| multiply(inverse(n1),n1) = add(add(inverse(n1),inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_626]) ).
cnf(refute_0_628,plain,
add(add(inverse(n1),inverse(n1)),inverse(n1)) = add(add(inverse(n1),inverse(n1)),inverse(n1)),
introduced(tautology,[refl,[$fot(add(add(inverse(n1),inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_629,plain,
( add(add(inverse(n1),inverse(n1)),inverse(n1)) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| add(add(inverse(n1),inverse(n1)),inverse(n1)) = add(multiply(inverse(n1),n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(n1),inverse(n1)),inverse(n1)),add(add(inverse(n1),inverse(n1)),inverse(n1))) ),[1,0],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_630,plain,
( add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| add(add(inverse(n1),inverse(n1)),inverse(n1)) = add(multiply(inverse(n1),n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(add(inverse(n1),inverse(n1)),inverse(n1)),add(add(inverse(n1),inverse(n1)),inverse(n1))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
add(add(inverse(n1),inverse(n1)),inverse(n1)) = add(multiply(inverse(n1),n1),inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_630]) ).
cnf(refute_0_632,plain,
( multiply(inverse(n1),n1) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| add(add(inverse(n1),inverse(n1)),inverse(n1)) != add(multiply(inverse(n1),n1),inverse(n1))
| multiply(inverse(n1),n1) = add(multiply(inverse(n1),n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(n1),n1),add(multiply(inverse(n1),n1),inverse(n1))) ),[0],$fot(add(add(inverse(n1),inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_633,plain,
( multiply(inverse(n1),n1) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| multiply(inverse(n1),n1) = add(multiply(inverse(n1),n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(add(inverse(n1),inverse(n1)),inverse(n1)),add(multiply(inverse(n1),n1),inverse(n1))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
( add(inverse(n1),inverse(n1)) != add(add(inverse(n1),inverse(n1)),inverse(n1))
| multiply(inverse(n1),n1) = add(multiply(inverse(n1),n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),add(add(inverse(n1),inverse(n1)),inverse(n1))) )],[refute_0_627,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(inverse(n1),n1) = add(multiply(inverse(n1),n1),inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),add(add(inverse(n1),inverse(n1)),inverse(n1))) )],[refute_0_424,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiply(inverse(n1),n1) != add(multiply(inverse(n1),n1),inverse(n1))
| add(multiply(inverse(n1),n1),inverse(n1)) = multiply(inverse(n1),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(n1),n1))),bind(Y0,$fot(add(multiply(inverse(n1),n1),inverse(n1))))]]) ).
cnf(refute_0_637,plain,
add(multiply(inverse(n1),n1),inverse(n1)) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),add(multiply(inverse(n1),n1),inverse(n1))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| add(multiply(inverse(n1),n1),inverse(n1)) != multiply(inverse(n1),n1)
| add(multiply(inverse(n1),n1),inverse(n1)) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(n1),n1),inverse(n1)))),bind(Y0,$fot(multiply(inverse(n1),n1))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_639,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| add(multiply(inverse(n1),n1),inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
add(multiply(inverse(n1),n1),inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) = multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))]]) ).
cnf(refute_0_642,plain,
( multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) != multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))
| add(multiply(inverse(n1),n1),inverse(n1)) != inverse(n1)
| multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) = multiply(X_12,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_643,plain,
( add(multiply(inverse(n1),n1),inverse(n1)) != inverse(n1)
| multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) = multiply(X_12,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) = multiply(X_12,inverse(n1)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),n1),inverse(n1)),inverse(n1)) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))),
introduced(tautology,[refl,[$fot(add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))))]]) ).
cnf(refute_0_646,plain,
( multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) != multiply(X_12,inverse(n1))
| add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) != add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))
| add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = add(inverse(n1),multiply(X_12,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))),add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))) ),[1,1],$fot(multiply(X_12,inverse(n1)))]]) ).
cnf(refute_0_647,plain,
( multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))) != multiply(X_12,inverse(n1))
| add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = add(inverse(n1),multiply(X_12,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))),add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = add(inverse(n1),multiply(X_12,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))),multiply(X_12,inverse(n1))) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
( add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) != add(inverse(n1),multiply(X_12,inverse(n1)))
| add(inverse(n1),multiply(X_12,inverse(n1))) != multiply(inverse(n1),add(n1,X_12))
| add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = multiply(inverse(n1),add(n1,X_12)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))))),bind(Y0,$fot(add(inverse(n1),multiply(X_12,inverse(n1))))),bind(Z0,$fot(multiply(inverse(n1),add(n1,X_12))))]]) ).
cnf(refute_0_650,plain,
( add(inverse(n1),multiply(X_12,inverse(n1))) != multiply(inverse(n1),add(n1,X_12))
| add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = multiply(inverse(n1),add(n1,X_12)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))),add(inverse(n1),multiply(X_12,inverse(n1)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) = multiply(inverse(n1),add(n1,X_12)),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,inverse(n1))),multiply(inverse(n1),add(n1,X_12))) )],[refute_0_625,refute_0_650]) ).
cnf(refute_0_652,plain,
( add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))) != multiply(inverse(n1),add(n1,X_12))
| pixley(inverse(n1),n1,X_12) != add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = multiply(inverse(n1),add(n1,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),n1,X_12),add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))) ),[1],$fot(multiply(inverse(n1),add(n1,X_12)))]]) ).
cnf(refute_0_653,plain,
( pixley(inverse(n1),n1,X_12) != add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = multiply(inverse(n1),add(n1,X_12)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1)))),multiply(inverse(n1),add(n1,X_12))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
( pixley(add(inverse(n1),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = multiply(inverse(n1),add(n1,X_12)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,X_12),add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))) )],[refute_0_624,refute_0_653]) ).
cnf(refute_0_655,plain,
pixley(inverse(n1),n1,X_12) = multiply(inverse(n1),add(n1,X_12)),
inference(resolve,[$cnf( $equal(pixley(add(inverse(n1),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(multiply(inverse(n1),n1),inverse(n1))))) )],[refute_0_618,refute_0_654]) ).
cnf(refute_0_656,plain,
( pixley(inverse(n1),n1,X_12) != multiply(inverse(n1),add(n1,X_12))
| multiply(inverse(n1),add(n1,X_12)) = pixley(inverse(n1),n1,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(n1),n1,X_12))),bind(Y0,$fot(multiply(inverse(n1),add(n1,X_12))))]]) ).
cnf(refute_0_657,plain,
multiply(inverse(n1),add(n1,X_12)) = pixley(inverse(n1),n1,X_12),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,X_12),multiply(inverse(n1),add(n1,X_12))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) = pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))),
inference(subst,[],[refute_0_657:[bind(X_12,$fot(inverse(multiply(inverse(n1),n1))))]]) ).
cnf(refute_0_659,plain,
( multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) != pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1)))
| pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) != pixley(inverse(n1),n1,inverse(inverse(n1)))
| multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))))),bind(Y0,$fot(pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))))),bind(Z0,$fot(pixley(inverse(n1),n1,inverse(inverse(n1)))))]]) ).
cnf(refute_0_660,plain,
( pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))) != pixley(inverse(n1),n1,inverse(inverse(n1)))
| multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))),pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1)))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) = pixley(inverse(n1),n1,inverse(inverse(n1))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,inverse(multiply(inverse(n1),n1))),pixley(inverse(n1),n1,inverse(inverse(n1)))) )],[refute_0_614,refute_0_660]) ).
cnf(refute_0_662,plain,
( multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))) != pixley(inverse(n1),n1,inverse(inverse(n1)))
| inverse(n1) != multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))
| inverse(n1) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(n1),multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))) ),[1],$fot(pixley(inverse(n1),n1,inverse(inverse(n1))))]]) ).
cnf(refute_0_663,plain,
( inverse(n1) != multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))
| inverse(n1) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1)))),pixley(inverse(n1),n1,inverse(inverse(n1)))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(inverse(n1),n1) != multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))
| inverse(n1) = pixley(inverse(n1),n1,inverse(inverse(n1))) ),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))) )],[refute_0_610,refute_0_663]) ).
cnf(refute_0_665,plain,
inverse(n1) = pixley(inverse(n1),n1,inverse(inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),multiply(inverse(n1),add(n1,inverse(multiply(inverse(n1),n1))))) )],[refute_0_608,refute_0_664]) ).
cnf(refute_0_666,plain,
( inverse(n1) != pixley(inverse(n1),n1,inverse(inverse(n1)))
| pixley(inverse(n1),n1,inverse(inverse(n1))) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(pixley(inverse(n1),n1,inverse(inverse(n1)))))]]) ).
cnf(refute_0_667,plain,
pixley(inverse(n1),n1,inverse(inverse(n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),pixley(inverse(n1),n1,inverse(inverse(n1)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
multiply(inverse(n1),add(n1,inverse(inverse(n1)))) = pixley(inverse(n1),n1,inverse(inverse(n1))),
inference(subst,[],[refute_0_657:[bind(X_12,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_669,plain,
( multiply(inverse(n1),add(n1,inverse(inverse(n1)))) != pixley(inverse(n1),n1,inverse(inverse(n1)))
| pixley(inverse(n1),n1,inverse(inverse(n1))) != inverse(n1)
| multiply(inverse(n1),add(n1,inverse(inverse(n1)))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(n1,inverse(inverse(n1)))))),bind(Y0,$fot(pixley(inverse(n1),n1,inverse(inverse(n1))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_670,plain,
( pixley(inverse(n1),n1,inverse(inverse(n1))) != inverse(n1)
| multiply(inverse(n1),add(n1,inverse(inverse(n1)))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(inverse(n1)))),pixley(inverse(n1),n1,inverse(inverse(n1)))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(inverse(n1),add(n1,inverse(inverse(n1)))) = inverse(n1),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,inverse(inverse(n1))),inverse(n1)) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) = multiply(inverse(n1),add(n1,inverse(inverse(n1)))),
inference(subst,[],[refute_0_508:[bind(X,$fot(n1)),bind(X_23,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_673,plain,
( multiply(inverse(n1),add(n1,inverse(inverse(n1)))) != inverse(n1)
| add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) != multiply(inverse(n1),add(n1,inverse(inverse(n1))))
| add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,inverse(inverse(n1)))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_674,plain,
( multiply(inverse(n1),add(n1,inverse(inverse(n1)))) != inverse(n1)
| add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))),multiply(inverse(n1),add(n1,inverse(inverse(n1))))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(inverse(n1)))),inverse(n1)) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
( multiply(inverse(inverse(n1)),inverse(n1)) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))) != inverse(n1)
| multiply(inverse(inverse(n1)),inverse(n1)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(n1)),inverse(n1)),inverse(n1)) ),[0],$fot(add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_677,plain,
( multiply(inverse(inverse(n1)),inverse(n1)) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| multiply(inverse(inverse(n1)),inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1))),inverse(n1)) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
( multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) != add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))
| multiply(inverse(inverse(n1)),inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_604,refute_0_677]) ).
cnf(refute_0_679,plain,
multiply(inverse(inverse(n1)),inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))),add(inverse(n1),multiply(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_594,refute_0_678]) ).
cnf(refute_0_680,plain,
add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)))]]) ).
cnf(refute_0_681,plain,
( multiply(inverse(inverse(n1)),inverse(n1)) != inverse(n1)
| add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) != add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))
| add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)),add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_682,plain,
( multiply(inverse(inverse(n1)),inverse(n1)) != inverse(n1)
| add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)),add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),inverse(n1)),inverse(n1)) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
( add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) != add(inverse(n1),multiply(Z,n1))
| add(inverse(n1),multiply(Z,n1)) != Z
| add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = Z ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)))),bind(Y0,$fot(add(inverse(n1),multiply(Z,n1)))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_685,plain,
( add(inverse(n1),multiply(Z,n1)) != Z
| add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = Z ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)),add(inverse(n1),multiply(Z,n1))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) = Z,
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,n1)),Z) )],[refute_0_577,refute_0_685]) ).
cnf(refute_0_687,plain,
( add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)) != Z
| pixley(inverse(inverse(n1)),n1,Z) != add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))
| pixley(inverse(inverse(n1)),n1,Z) = Z ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,Z),add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))) ),[1],$fot(Z)]]) ).
cnf(refute_0_688,plain,
( pixley(inverse(inverse(n1)),n1,Z) != add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))
| pixley(inverse(inverse(n1)),n1,Z) = Z ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1)),Z) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
pixley(inverse(inverse(n1)),n1,Z) = Z,
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,Z),add(multiply(inverse(inverse(n1)),inverse(n1)),multiply(Z,n1))) )],[refute_0_569,refute_0_688]) ).
cnf(refute_0_690,plain,
pixley(inverse(inverse(n1)),n1,n1) = n1,
inference(subst,[],[refute_0_689:[bind(Z,$fot(n1))]]) ).
cnf(refute_0_691,plain,
( pixley(inverse(inverse(n1)),n1,n1) != inverse(inverse(n1))
| pixley(inverse(inverse(n1)),n1,n1) != n1
| n1 = inverse(inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,n1),inverse(inverse(n1))) ),[0],$fot(n1)]]) ).
cnf(refute_0_692,plain,
( pixley(inverse(inverse(n1)),n1,n1) != inverse(inverse(n1))
| n1 = inverse(inverse(n1)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,n1),n1) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
n1 = inverse(inverse(n1)),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,n1),inverse(inverse(n1))) )],[refute_0_303,refute_0_692]) ).
cnf(refute_0_694,plain,
( n1 != inverse(inverse(n1))
| inverse(inverse(n1)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_695,plain,
inverse(inverse(n1)) = n1,
inference(resolve,[$cnf( $equal(n1,inverse(inverse(n1))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
( inverse(inverse(n1)) != n1
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),inverse(inverse(n1)))) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),inverse(inverse(n1)))),add(inverse(inverse(n1)),inverse(inverse(n1)))) ),[0,2,1],$fot(n1)]]) ).
cnf(refute_0_697,plain,
( pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),inverse(inverse(n1)))) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),inverse(inverse(n1)))),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_302,refute_0_697]) ).
cnf(refute_0_699,plain,
pixley(inverse(inverse(n1)),n1,add(X,add(inverse(inverse(n1)),inverse(n1)))) = add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),
inference(subst,[],[refute_0_374:[bind(X_10,$fot(inverse(inverse(n1)))),bind(X_11,$fot(n1))]]) ).
cnf(refute_0_700,plain,
( add(inverse(inverse(n1)),inverse(n1)) != n1
| pixley(inverse(inverse(n1)),n1,add(X,add(inverse(inverse(n1)),inverse(n1)))) != add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))
| pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,add(inverse(inverse(n1)),inverse(n1)))),add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))) ),[0,2,1],$fot(n1)]]) ).
cnf(refute_0_701,plain,
( pixley(inverse(inverse(n1)),n1,add(X,add(inverse(inverse(n1)),inverse(n1)))) != add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))
| pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(n1)),n1) )],[refute_0_566,refute_0_700]) ).
cnf(refute_0_702,plain,
pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,add(inverse(inverse(n1)),inverse(n1)))),add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_699,refute_0_701]) ).
cnf(refute_0_703,plain,
add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))),
introduced(tautology,[refl,[$fot(add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_704,plain,
( add(inverse(inverse(n1)),inverse(n1)) != n1
| add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) != add(inverse(n1),add(inverse(inverse(n1)),inverse(n1)))
| add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))),add(inverse(n1),add(inverse(inverse(n1)),inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_705,plain,
( add(inverse(inverse(n1)),inverse(n1)) != n1
| add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))),add(inverse(n1),add(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(n1)),n1) )],[refute_0_566,refute_0_705]) ).
cnf(refute_0_707,plain,
add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),
introduced(tautology,[refl,[$fot(add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_708,plain,
( multiply(inverse(inverse(n1)),inverse(n1)) != inverse(n1)
| add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) != add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))
| add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_709,plain,
( multiply(inverse(inverse(n1)),inverse(n1)) != inverse(n1)
| add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),inverse(n1)),inverse(n1)) )],[refute_0_679,refute_0_709]) ).
cnf(refute_0_711,plain,
( add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) != add(inverse(n1),add(inverse(inverse(n1)),inverse(n1)))
| add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) != add(inverse(n1),n1)
| add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))))),bind(Y0,$fot(add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))))),bind(Z0,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_712,plain,
( add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))) != add(inverse(n1),n1)
| add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),add(inverse(n1),add(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),add(inverse(inverse(n1)),inverse(n1))),add(inverse(n1),n1)) )],[refute_0_706,refute_0_712]) ).
cnf(refute_0_714,plain,
( add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))) != add(inverse(n1),n1)
| pixley(inverse(inverse(n1)),n1,add(X,n1)) != add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))
| pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,n1)),add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))) ),[1],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_715,plain,
( pixley(inverse(inverse(n1)),n1,add(X,n1)) != add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))
| pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1))),add(inverse(n1),n1)) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,n1)),add(multiply(inverse(inverse(n1)),inverse(n1)),add(inverse(inverse(n1)),inverse(n1)))) )],[refute_0_702,refute_0_715]) ).
cnf(refute_0_717,plain,
pixley(inverse(inverse(n1)),n1,add(X,n1)) = add(X,n1),
inference(subst,[],[refute_0_689:[bind(Z,$fot(add(X,n1)))]]) ).
cnf(refute_0_718,plain,
( pixley(inverse(inverse(n1)),n1,add(X,n1)) != add(X,n1)
| pixley(inverse(inverse(n1)),n1,add(X,n1)) != add(inverse(n1),n1)
| add(X,n1) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,n1)),add(inverse(n1),n1)) ),[0],$fot(add(X,n1))]]) ).
cnf(refute_0_719,plain,
( pixley(inverse(inverse(n1)),n1,add(X,n1)) != add(inverse(n1),n1)
| add(X,n1) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,n1)),add(X,n1)) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
add(X,n1) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(n1)),n1,add(X,n1)),add(inverse(n1),n1)) )],[refute_0_716,refute_0_719]) ).
cnf(refute_0_721,plain,
add(inverse(inverse(n1)),n1) = add(inverse(n1),n1),
inference(subst,[],[refute_0_720:[bind(X,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_722,plain,
pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)),
introduced(tautology,[refl,[$fot(pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)))]]) ).
cnf(refute_0_723,plain,
( add(inverse(inverse(n1)),n1) != add(inverse(n1),n1)
| pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) != pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1))
| pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1))) ),[1,2],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_724,plain,
( add(inverse(inverse(n1)),n1) != add(inverse(n1),n1)
| pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),n1),add(inverse(n1),n1)) )],[refute_0_721,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(multiply(add(X_115,n1),add(X_114,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),
inference(subst,[],[refute_0_447:[bind(X_12,$fot(add(X_114,n1))),bind(X_58,$fot(add(X_115,n1)))]]) ).
cnf(refute_0_727,plain,
multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = add(add(X,n1),multiply(multiply(n1,n1),add(X,n1))),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_37)),bind(X_21,$fot(add(X,n1))),bind(X_23,$fot(multiply(n1,n1)))]]) ).
cnf(refute_0_728,plain,
multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(n1,n1)),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(n1))]]) ).
cnf(refute_0_729,plain,
( multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(n1,n1))
| add(n1,n1) != add(X,n1)
| multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) ),[0,1],$fot(add(X,n1))]]) ).
cnf(refute_0_730,plain,
( multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(n1,n1))
| multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)) ),
inference(resolve,[$cnf( $equal(add(n1,n1),add(X,n1)) )],[refute_0_124,refute_0_729]) ).
cnf(refute_0_731,plain,
multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) )],[refute_0_728,refute_0_730]) ).
cnf(refute_0_732,plain,
( multiply(multiply(n1,n1),add(X,n1)) != multiply(n1,add(n1,n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) != add(add(X,n1),multiply(multiply(n1,n1),add(X,n1)))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = add(add(X,n1),multiply(n1,add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))),add(add(X,n1),multiply(multiply(n1,n1),add(X,n1)))) ),[1,1],$fot(multiply(n1,add(n1,n1)))]]) ).
cnf(refute_0_733,plain,
( multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) != add(add(X,n1),multiply(multiply(n1,n1),add(X,n1)))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = add(add(X,n1),multiply(n1,add(n1,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(X,n1)),multiply(n1,add(n1,n1))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = add(add(X,n1),multiply(n1,add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))),add(add(X,n1),multiply(multiply(n1,n1),add(X,n1)))) )],[refute_0_727,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(X_38,add(add(X_37,X_38),n1)) = add(X_38,multiply(n1,X_38)),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_37)),bind(X_21,$fot(X_38)),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_736,plain,
add(X,n1) = add(add(X_37,X_38),n1),
inference(subst,[],[refute_0_121:[bind(X_16,$fot(add(X_37,X_38)))]]) ).
cnf(refute_0_737,plain,
( add(X,n1) != add(add(X_37,X_38),n1)
| add(add(X_37,X_38),n1) = add(X,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(add(X_37,X_38),n1)))]]) ).
cnf(refute_0_738,plain,
add(add(X_37,X_38),n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(add(X_37,X_38),n1)) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
( multiply(X_38,add(add(X_37,X_38),n1)) != add(X_38,multiply(n1,X_38))
| add(add(X_37,X_38),n1) != add(X,n1)
| multiply(X_38,add(X,n1)) = add(X_38,multiply(n1,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_38,add(add(X_37,X_38),n1)),add(X_38,multiply(n1,X_38))) ),[0,1],$fot(add(X,n1))]]) ).
cnf(refute_0_740,plain,
( multiply(X_38,add(add(X_37,X_38),n1)) != add(X_38,multiply(n1,X_38))
| multiply(X_38,add(X,n1)) = add(X_38,multiply(n1,X_38)) ),
inference(resolve,[$cnf( $equal(add(add(X_37,X_38),n1),add(X,n1)) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
multiply(X_38,add(X,n1)) = add(X_38,multiply(n1,X_38)),
inference(resolve,[$cnf( $equal(multiply(X_38,add(add(X_37,X_38),n1)),add(X_38,multiply(n1,X_38))) )],[refute_0_735,refute_0_740]) ).
cnf(refute_0_742,plain,
( multiply(X_38,add(X,n1)) != add(X_38,multiply(n1,X_38))
| add(X_38,multiply(n1,X_38)) = multiply(X_38,add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_38,add(X,n1)))),bind(Y0,$fot(add(X_38,multiply(n1,X_38))))]]) ).
cnf(refute_0_743,plain,
add(X_38,multiply(n1,X_38)) = multiply(X_38,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(X_38,add(X,n1)),add(X_38,multiply(n1,X_38))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
add(add(X,n1),multiply(n1,add(X,n1))) = multiply(add(X,n1),add(X,n1)),
inference(subst,[],[refute_0_743:[bind(X_38,$fot(add(X,n1)))]]) ).
cnf(refute_0_745,plain,
multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) = add(add(X,n1),multiply(n1,add(X,n1))),
inference(subst,[],[refute_0_741:[bind(X,$fot(add(X_37,add(X,n1)))),bind(X_38,$fot(add(X,n1)))]]) ).
cnf(refute_0_746,plain,
( multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) != add(add(X,n1),multiply(n1,add(X,n1)))
| add(add(X,n1),multiply(n1,add(X,n1))) != multiply(add(X,n1),add(X,n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) = multiply(add(X,n1),add(X,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)))),bind(Y0,$fot(add(add(X,n1),multiply(n1,add(X,n1))))),bind(Z0,$fot(multiply(add(X,n1),add(X,n1))))]]) ).
cnf(refute_0_747,plain,
( add(add(X,n1),multiply(n1,add(X,n1))) != multiply(add(X,n1),add(X,n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) = multiply(add(X,n1),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)),add(add(X,n1),multiply(n1,add(X,n1)))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) = multiply(add(X,n1),add(X,n1)),
inference(resolve,[$cnf( $equal(add(add(X,n1),multiply(n1,add(X,n1))),multiply(add(X,n1),add(X,n1))) )],[refute_0_744,refute_0_747]) ).
cnf(refute_0_749,plain,
multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_28,n1)),multiply(multiply(n1,n1),add(X_28,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_28,n1))),bind(Z,$fot(multiply(n1,n1)))]]) ).
cnf(refute_0_750,plain,
multiply(multiply(n1,n1),add(X_28,n1)) = multiply(n1,add(n1,n1)),
inference(subst,[],[refute_0_731:[bind(X,$fot(X_28))]]) ).
cnf(refute_0_751,plain,
( multiply(multiply(n1,n1),add(X_28,n1)) != multiply(n1,add(n1,n1))
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_28,n1)),multiply(multiply(n1,n1),add(X_28,n1)))
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_28,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_28,n1)),multiply(multiply(n1,n1),add(X_28,n1)))) ),[1,1],$fot(multiply(n1,add(n1,n1)))]]) ).
cnf(refute_0_752,plain,
( multiply(add(X_28,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_28,n1)),multiply(multiply(n1,n1),add(X_28,n1)))
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(X_28,n1)),multiply(n1,add(n1,n1))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_28,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_28,n1)),multiply(multiply(n1,n1),add(X_28,n1)))) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
multiply(add(X_27,n1),add(Y,n1)) = add(multiply(Y,add(X_27,n1)),multiply(n1,add(X_27,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_27,n1))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_755,plain,
( multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(n1,n1))
| add(n1,n1) != add(X,n1)
| multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) ),[1,1],$fot(add(X,n1))]]) ).
cnf(refute_0_756,plain,
( multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(n1,n1))
| multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(X,n1)) ),
inference(resolve,[$cnf( $equal(add(n1,n1),add(X,n1)) )],[refute_0_124,refute_0_755]) ).
cnf(refute_0_757,plain,
multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) )],[refute_0_728,refute_0_756]) ).
cnf(refute_0_758,plain,
( multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(X,n1))
| multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(n1,n1))
| multiply(n1,add(n1,n1)) = multiply(n1,add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(X,n1))) ),[0],$fot(multiply(n1,add(n1,n1)))]]) ).
cnf(refute_0_759,plain,
( multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(X,n1))
| multiply(n1,add(n1,n1)) = multiply(n1,add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) )],[refute_0_728,refute_0_758]) ).
cnf(refute_0_760,plain,
multiply(n1,add(n1,n1)) = multiply(n1,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(X,n1))) )],[refute_0_757,refute_0_759]) ).
cnf(refute_0_761,plain,
multiply(n1,add(n1,n1)) = multiply(n1,add(X_27,n1)),
inference(subst,[],[refute_0_760:[bind(X,$fot(X_27))]]) ).
cnf(refute_0_762,plain,
( multiply(n1,add(n1,n1)) != multiply(n1,add(X_27,n1))
| multiply(n1,add(X_27,n1)) = multiply(n1,add(n1,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(n1,add(n1,n1)))),bind(Y0,$fot(multiply(n1,add(X_27,n1))))]]) ).
cnf(refute_0_763,plain,
multiply(n1,add(X_27,n1)) = multiply(n1,add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,n1)),multiply(n1,add(X_27,n1))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
( multiply(add(X_27,n1),add(Y,n1)) != add(multiply(Y,add(X_27,n1)),multiply(n1,add(X_27,n1)))
| multiply(n1,add(X_27,n1)) != multiply(n1,add(n1,n1))
| multiply(add(X_27,n1),add(Y,n1)) = add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_27,n1),add(Y,n1)),add(multiply(Y,add(X_27,n1)),multiply(n1,add(X_27,n1)))) ),[1,1],$fot(multiply(n1,add(n1,n1)))]]) ).
cnf(refute_0_765,plain,
( multiply(add(X_27,n1),add(Y,n1)) != add(multiply(Y,add(X_27,n1)),multiply(n1,add(X_27,n1)))
| multiply(add(X_27,n1),add(Y,n1)) = add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_27,n1)),multiply(n1,add(n1,n1))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
multiply(add(X_27,n1),add(Y,n1)) = add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(Y,n1)),add(multiply(Y,add(X_27,n1)),multiply(n1,add(X_27,n1)))) )],[refute_0_754,refute_0_765]) ).
cnf(refute_0_767,plain,
( multiply(add(X_27,n1),add(Y,n1)) != add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1)))
| add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1))) = multiply(add(X_27,n1),add(Y,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_27,n1),add(Y,n1)))),bind(Y0,$fot(add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1)))))]]) ).
cnf(refute_0_768,plain,
add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1))) = multiply(add(X_27,n1),add(Y,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(Y,n1)),add(multiply(Y,add(X_27,n1)),multiply(n1,add(n1,n1)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))) = multiply(add(X_28,n1),add(Y,n1)),
inference(subst,[],[refute_0_768:[bind(X_27,$fot(X_28))]]) ).
cnf(refute_0_770,plain,
( multiply(add(X_28,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1)))
| add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))) != multiply(add(X_28,n1),add(Y,n1))
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = multiply(add(X_28,n1),add(Y,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_28,n1),add(Y,multiply(n1,n1))),multiply(add(X_28,n1),add(Y,n1))) ),[0],$fot(add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))))]]) ).
cnf(refute_0_771,plain,
( multiply(add(X_28,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1)))
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = multiply(add(X_28,n1),add(Y,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1))),multiply(add(X_28,n1),add(Y,n1))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = multiply(add(X_28,n1),add(Y,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_28,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_28,n1)),multiply(n1,add(n1,n1)))) )],[refute_0_753,refute_0_771]) ).
cnf(refute_0_773,plain,
multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)),
inference(subst,[],[refute_0_772:[bind(Y,$fot(add(X_37,add(X,n1)))),bind(X_28,$fot(X))]]) ).
cnf(refute_0_774,plain,
( multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) != multiply(add(X,n1),add(add(X_37,add(X,n1)),n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) != multiply(add(X,n1),add(X,n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = multiply(add(X,n1),add(X,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))))),bind(Y0,$fot(multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)))),bind(Z0,$fot(multiply(add(X,n1),add(X,n1))))]]) ).
cnf(refute_0_775,plain,
( multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)) != multiply(add(X,n1),add(X,n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = multiply(add(X,n1),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))),multiply(add(X,n1),add(add(X_37,add(X,n1)),n1))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) = multiply(add(X,n1),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),n1)),multiply(add(X,n1),add(X,n1))) )],[refute_0_748,refute_0_775]) ).
cnf(refute_0_777,plain,
( multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) != multiply(add(X,n1),add(X,n1))
| multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) != add(add(X,n1),multiply(n1,add(n1,n1)))
| multiply(add(X,n1),add(X,n1)) = add(add(X,n1),multiply(n1,add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))),add(add(X,n1),multiply(n1,add(n1,n1)))) ),[0],$fot(multiply(add(X,n1),add(X,n1)))]]) ).
cnf(refute_0_778,plain,
( multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))) != add(add(X,n1),multiply(n1,add(n1,n1)))
| multiply(add(X,n1),add(X,n1)) = add(add(X,n1),multiply(n1,add(n1,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))),multiply(add(X,n1),add(X,n1))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
multiply(add(X,n1),add(X,n1)) = add(add(X,n1),multiply(n1,add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(add(X_37,add(X,n1)),multiply(n1,n1))),add(add(X,n1),multiply(n1,add(n1,n1)))) )],[refute_0_734,refute_0_778]) ).
cnf(refute_0_780,plain,
multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = add(add(n1,n1),multiply(n1,add(n1,n1))),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_37)),bind(X_21,$fot(add(n1,n1))),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_781,plain,
( multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) != add(add(n1,n1),multiply(n1,add(n1,n1)))
| multiply(n1,add(n1,n1)) != multiply(n1,add(X,n1))
| multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = add(add(n1,n1),multiply(n1,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)),add(add(n1,n1),multiply(n1,add(n1,n1)))) ),[1,1],$fot(multiply(n1,add(X,n1)))]]) ).
cnf(refute_0_782,plain,
( multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) != add(add(n1,n1),multiply(n1,add(n1,n1)))
| multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = add(add(n1,n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,n1)),multiply(n1,add(X,n1))) )],[refute_0_760,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = add(add(n1,n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)),add(add(n1,n1),multiply(n1,add(n1,n1)))) )],[refute_0_780,refute_0_782]) ).
cnf(refute_0_784,plain,
( multiply(add(X,n1),add(X,n1)) != add(add(X,n1),multiply(n1,add(n1,n1)))
| add(add(X,n1),multiply(n1,add(n1,n1))) = multiply(add(X,n1),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X,n1),add(X,n1)))),bind(Y0,$fot(add(add(X,n1),multiply(n1,add(n1,n1)))))]]) ).
cnf(refute_0_785,plain,
add(add(X,n1),multiply(n1,add(n1,n1))) = multiply(add(X,n1),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(X,n1)),add(add(X,n1),multiply(n1,add(n1,n1)))) )],[refute_0_779,refute_0_784]) ).
cnf(refute_0_786,plain,
add(add(n1,n1),multiply(n1,add(n1,n1))) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_785:[bind(X,$fot(n1))]]) ).
cnf(refute_0_787,plain,
( multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) != add(add(n1,n1),multiply(n1,add(n1,n1)))
| add(add(n1,n1),multiply(n1,add(n1,n1))) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = multiply(add(n1,n1),add(n1,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)))),bind(Y0,$fot(add(add(n1,n1),multiply(n1,add(n1,n1))))),bind(Z0,$fot(multiply(add(n1,n1),add(n1,n1))))]]) ).
cnf(refute_0_788,plain,
( add(add(n1,n1),multiply(n1,add(n1,n1))) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = multiply(add(n1,n1),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)),add(add(n1,n1),multiply(n1,add(n1,n1)))) )],[refute_0_780,refute_0_787]) ).
cnf(refute_0_789,plain,
multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(add(add(n1,n1),multiply(n1,add(n1,n1))),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_786,refute_0_788]) ).
cnf(refute_0_790,plain,
( multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) != add(add(n1,n1),multiply(n1,add(X,n1)))
| multiply(add(n1,n1),add(n1,n1)) = add(add(n1,n1),multiply(n1,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)),add(add(n1,n1),multiply(n1,add(X,n1)))) ),[0],$fot(multiply(add(n1,n1),add(n1,n1)))]]) ).
cnf(refute_0_791,plain,
( multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)) != add(add(n1,n1),multiply(n1,add(X,n1)))
| multiply(add(n1,n1),add(n1,n1)) = add(add(n1,n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
multiply(add(n1,n1),add(n1,n1)) = add(add(n1,n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(add(X_37,add(n1,n1)),n1)),add(add(n1,n1),multiply(n1,add(X,n1)))) )],[refute_0_783,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(add(n1,n1),add(n1,n1)) = add(add(n1,n1),multiply(n1,add(X_43,n1))),
inference(subst,[],[refute_0_792:[bind(X,$fot(X_43))]]) ).
cnf(refute_0_794,plain,
( multiply(add(n1,n1),add(n1,n1)) != add(add(n1,n1),multiply(n1,add(X_43,n1)))
| add(n1,n1) != add(X,n1)
| multiply(add(n1,n1),add(n1,n1)) = add(add(X,n1),multiply(n1,add(X_43,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),add(n1,n1)),add(add(n1,n1),multiply(n1,add(X_43,n1)))) ),[1,0],$fot(add(X,n1))]]) ).
cnf(refute_0_795,plain,
( multiply(add(n1,n1),add(n1,n1)) != add(add(n1,n1),multiply(n1,add(X_43,n1)))
| multiply(add(n1,n1),add(n1,n1)) = add(add(X,n1),multiply(n1,add(X_43,n1))) ),
inference(resolve,[$cnf( $equal(add(n1,n1),add(X,n1)) )],[refute_0_124,refute_0_794]) ).
cnf(refute_0_796,plain,
multiply(add(n1,n1),add(n1,n1)) = add(add(X,n1),multiply(n1,add(X_43,n1))),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,n1)),add(add(n1,n1),multiply(n1,add(X_43,n1)))) )],[refute_0_793,refute_0_795]) ).
cnf(refute_0_797,plain,
( multiply(add(n1,n1),add(n1,n1)) != add(add(X,n1),multiply(n1,add(X_43,n1)))
| add(add(X,n1),multiply(n1,add(X_43,n1))) = multiply(add(n1,n1),add(n1,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(n1,n1),add(n1,n1)))),bind(Y0,$fot(add(add(X,n1),multiply(n1,add(X_43,n1)))))]]) ).
cnf(refute_0_798,plain,
add(add(X,n1),multiply(n1,add(X_43,n1))) = multiply(add(n1,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,n1)),add(add(X,n1),multiply(n1,add(X_43,n1)))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
add(add(X,n1),multiply(n1,add(n1,n1))) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_798:[bind(X_43,$fot(n1))]]) ).
cnf(refute_0_800,plain,
( multiply(add(X,n1),add(X,n1)) != add(add(X,n1),multiply(n1,add(n1,n1)))
| add(add(X,n1),multiply(n1,add(n1,n1))) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(X,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,n1),add(X,n1)),multiply(add(n1,n1),add(n1,n1))) ),[0],$fot(add(add(X,n1),multiply(n1,add(n1,n1))))]]) ).
cnf(refute_0_801,plain,
( multiply(add(X,n1),add(X,n1)) != add(add(X,n1),multiply(n1,add(n1,n1)))
| multiply(add(X,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(add(add(X,n1),multiply(n1,add(n1,n1))),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
multiply(add(X,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(X,n1)),add(add(X,n1),multiply(n1,add(n1,n1)))) )],[refute_0_779,refute_0_801]) ).
cnf(refute_0_803,plain,
multiply(add(X_46,n1),add(X_46,n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_802:[bind(X,$fot(X_46))]]) ).
cnf(refute_0_804,plain,
add(X,n1) = add(X_46,n1),
inference(subst,[],[refute_0_121:[bind(X_16,$fot(X_46))]]) ).
cnf(refute_0_805,plain,
( add(X,n1) != add(X_46,n1)
| add(X_46,n1) = add(X,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(X_46,n1)))]]) ).
cnf(refute_0_806,plain,
add(X_46,n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(X_46,n1)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
( multiply(add(X_46,n1),add(X_46,n1)) != multiply(add(n1,n1),add(n1,n1))
| add(X_46,n1) != add(X,n1)
| multiply(add(X_46,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_46,n1),add(X_46,n1)),multiply(add(n1,n1),add(n1,n1))) ),[0,1],$fot(add(X,n1))]]) ).
cnf(refute_0_808,plain,
( multiply(add(X_46,n1),add(X_46,n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(X_46,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(add(X_46,n1),add(X,n1)) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
multiply(add(X_46,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_46,n1),add(X_46,n1)),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_803,refute_0_808]) ).
cnf(refute_0_810,plain,
multiply(add(X,n1),multiply(n1,add(add(X,n1),add(X,n1)))) = multiply(n1,add(add(X,n1),add(X,n1))),
inference(subst,[],[refute_0_463:[bind(X_61,$fot(add(X,n1)))]]) ).
cnf(refute_0_811,plain,
multiply(n1,add(add(X,n1),add(X,n1))) = add(multiply(add(X,n1),n1),n1),
inference(subst,[],[refute_0_85:[bind(X_21,$fot(n1)),bind(X_22,$fot(add(X,n1)))]]) ).
cnf(refute_0_812,plain,
( multiply(add(X,n1),multiply(n1,add(add(X,n1),add(X,n1)))) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(n1,add(add(X,n1),add(X,n1))) != add(multiply(add(X,n1),n1),n1)
| multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) = multiply(n1,add(add(X,n1),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,n1),multiply(n1,add(add(X,n1),add(X,n1)))),multiply(n1,add(add(X,n1),add(X,n1)))) ),[0,1],$fot(add(multiply(add(X,n1),n1),n1))]]) ).
cnf(refute_0_813,plain,
( multiply(add(X,n1),multiply(n1,add(add(X,n1),add(X,n1)))) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) = multiply(n1,add(add(X,n1),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X,n1),add(X,n1))),add(multiply(add(X,n1),n1),n1)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) = multiply(n1,add(add(X,n1),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),multiply(n1,add(add(X,n1),add(X,n1)))),multiply(n1,add(add(X,n1),add(X,n1)))) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) = add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_21)),bind(Y,$fot(multiply(X_13,inverse(X_13)))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_816,plain,
( add(X,n1) != add(multiply(X_13,inverse(X_13)),n1)
| add(multiply(X_13,inverse(X_13)),n1) = add(X,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(multiply(X_13,inverse(X_13)),n1)))]]) ).
cnf(refute_0_817,plain,
add(multiply(X_13,inverse(X_13)),n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(multiply(X_13,inverse(X_13)),n1)) )],[refute_0_115,refute_0_816]) ).
cnf(refute_0_818,plain,
( multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) != add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))
| add(multiply(X_13,inverse(X_13)),n1) != add(X,n1)
| multiply(X_21,add(X,n1)) = add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)),add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))) ),[0,1],$fot(add(X,n1))]]) ).
cnf(refute_0_819,plain,
( multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) != add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))
| multiply(X_21,add(X,n1)) = add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,inverse(X_13)),n1),add(X,n1)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
multiply(X_21,add(X,n1)) = add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)),add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))) )],[refute_0_815,refute_0_819]) ).
cnf(refute_0_821,plain,
add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)) = multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_21)),bind(Y,$fot(multiply(X_13,inverse(X_13)))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_822,plain,
( multiply(X_21,add(X,n1)) != add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))
| add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)) != multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))
| multiply(X_21,add(X,n1)) = multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_21,add(X,n1)),multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))) ),[0],$fot(add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)))]]) ).
cnf(refute_0_823,plain,
( multiply(X_21,add(X,n1)) != add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))
| multiply(X_21,add(X,n1)) = multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21)),multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
multiply(X_21,add(X,n1)) = multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X,n1)),add(multiply(multiply(X_13,inverse(X_13)),X_21),multiply(n1,X_21))) )],[refute_0_820,refute_0_823]) ).
cnf(refute_0_825,plain,
multiply(X_21,add(X_73,n1)) = multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)),
inference(subst,[],[refute_0_824:[bind(X,$fot(X_73))]]) ).
cnf(refute_0_826,plain,
( multiply(X_21,add(X_73,n1)) != multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))
| multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) = multiply(X_21,add(X_73,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_21,add(X_73,n1)))),bind(Y0,$fot(multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))))]]) ).
cnf(refute_0_827,plain,
multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) = multiply(X_21,add(X_73,n1)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X_73,n1)),multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
( multiply(X_21,add(X,n1)) != multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))
| multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)) != multiply(X_21,add(X_73,n1))
| multiply(X_21,add(X,n1)) = multiply(X_21,add(X_73,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_21,add(X,n1)),multiply(X_21,add(X_73,n1))) ),[0],$fot(multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)))]]) ).
cnf(refute_0_829,plain,
( multiply(X_21,add(X,n1)) != multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))
| multiply(X_21,add(X,n1)) = multiply(X_21,add(X_73,n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_21,add(multiply(X_13,inverse(X_13)),n1)),multiply(X_21,add(X_73,n1))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
multiply(X_21,add(X,n1)) = multiply(X_21,add(X_73,n1)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X,n1)),multiply(X_21,add(multiply(X_13,inverse(X_13)),n1))) )],[refute_0_824,refute_0_829]) ).
cnf(refute_0_831,plain,
multiply(add(n1,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_830:[bind(X_21,$fot(add(n1,n1))),bind(X_73,$fot(n1))]]) ).
cnf(refute_0_832,plain,
multiply(add(X_73,n1),add(X,n1)) = add(add(X_73,n1),multiply(n1,add(X_73,n1))),
inference(subst,[],[refute_0_741:[bind(X_38,$fot(add(X_73,n1)))]]) ).
cnf(refute_0_833,plain,
multiply(n1,add(X_73,n1)) = multiply(n1,add(multiply(X_74,inverse(X_74)),n1)),
inference(subst,[],[refute_0_824:[bind(X,$fot(X_73)),bind(X_13,$fot(X_74)),bind(X_21,$fot(n1))]]) ).
cnf(refute_0_834,plain,
( multiply(add(X_73,n1),add(X,n1)) != add(add(X_73,n1),multiply(n1,add(X_73,n1)))
| multiply(n1,add(X_73,n1)) != multiply(n1,add(multiply(X_74,inverse(X_74)),n1))
| multiply(add(X_73,n1),add(X,n1)) = add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_73,n1),add(X,n1)),add(add(X_73,n1),multiply(n1,add(X_73,n1)))) ),[1,1],$fot(multiply(n1,add(multiply(X_74,inverse(X_74)),n1)))]]) ).
cnf(refute_0_835,plain,
( multiply(add(X_73,n1),add(X,n1)) != add(add(X_73,n1),multiply(n1,add(X_73,n1)))
| multiply(add(X_73,n1),add(X,n1)) = add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_73,n1)),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
multiply(add(X_73,n1),add(X,n1)) = add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_73,n1),add(X,n1)),add(add(X_73,n1),multiply(n1,add(X_73,n1)))) )],[refute_0_832,refute_0_835]) ).
cnf(refute_0_837,plain,
add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_798:[bind(X,$fot(X_73)),bind(X_43,$fot(multiply(X_74,inverse(X_74))))]]) ).
cnf(refute_0_838,plain,
( multiply(add(X_73,n1),add(X,n1)) != add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1)))
| add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(X_73,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_73,n1),add(X,n1)),multiply(add(n1,n1),add(n1,n1))) ),[0],$fot(add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))))]]) ).
cnf(refute_0_839,plain,
( multiply(add(X_73,n1),add(X,n1)) != add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1)))
| multiply(add(X_73,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1))),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
multiply(add(X_73,n1),add(X,n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_73,n1),add(X,n1)),add(add(X_73,n1),multiply(n1,add(multiply(X_74,inverse(X_74)),n1)))) )],[refute_0_836,refute_0_839]) ).
cnf(refute_0_841,plain,
multiply(add(X_80,n1),add(X_79,n1)) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_840:[bind(X,$fot(X_79)),bind(X_73,$fot(X_80))]]) ).
cnf(refute_0_842,plain,
( multiply(add(X_80,n1),add(X_79,n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(n1,n1)) = multiply(add(X_80,n1),add(X_79,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_80,n1),add(X_79,n1)))),bind(Y0,$fot(multiply(add(n1,n1),add(n1,n1))))]]) ).
cnf(refute_0_843,plain,
multiply(add(n1,n1),add(n1,n1)) = multiply(add(X_80,n1),add(X_79,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_80,n1),add(X_79,n1)),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
( multiply(add(n1,n1),add(X,n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(n1,n1)) != multiply(add(X_80,n1),add(X_79,n1))
| multiply(add(n1,n1),add(X,n1)) = multiply(add(X_80,n1),add(X_79,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(n1,n1),add(X,n1)),multiply(add(X_80,n1),add(X_79,n1))) ),[0],$fot(multiply(add(n1,n1),add(n1,n1)))]]) ).
cnf(refute_0_845,plain,
( multiply(add(n1,n1),add(X,n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(X,n1)) = multiply(add(X_80,n1),add(X_79,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,n1)),multiply(add(X_80,n1),add(X_79,n1))) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
multiply(add(n1,n1),add(X,n1)) = multiply(add(X_80,n1),add(X_79,n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(X,n1)),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_831,refute_0_845]) ).
cnf(refute_0_847,plain,
( multiply(add(n1,n1),add(X,n1)) != multiply(add(X_80,n1),add(X_79,n1))
| multiply(add(X_80,n1),add(X_79,n1)) = multiply(add(n1,n1),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(n1,n1),add(X,n1)))),bind(Y0,$fot(multiply(add(X_80,n1),add(X_79,n1))))]]) ).
cnf(refute_0_848,plain,
multiply(add(X_80,n1),add(X_79,n1)) = multiply(add(n1,n1),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(X,n1)),multiply(add(X_80,n1),add(X_79,n1))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) = multiply(add(n1,n1),add(X,n1)),
inference(subst,[],[refute_0_848:[bind(X_79,$fot(multiply(add(X,n1),n1))),bind(X_80,$fot(X))]]) ).
cnf(refute_0_850,plain,
( multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) != multiply(add(n1,n1),add(X,n1))
| multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(add(n1,n1),add(X,n1)) = multiply(n1,add(add(X,n1),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)),multiply(n1,add(add(X,n1),add(X,n1)))) ),[0],$fot(multiply(add(n1,n1),add(X,n1)))]]) ).
cnf(refute_0_851,plain,
( multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(add(n1,n1),add(X,n1)) = multiply(n1,add(add(X,n1),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)),multiply(add(n1,n1),add(X,n1))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
add(n1,multiply(add(X,n1),n1)) = add(n1,multiply(add(X,n1),n1)),
introduced(tautology,[refl,[$fot(add(n1,multiply(add(X,n1),n1)))]]) ).
cnf(refute_0_853,plain,
( multiply(add(X,n1),n1) != n1
| add(n1,multiply(add(X,n1),n1)) != add(n1,multiply(add(X,n1),n1))
| add(n1,multiply(add(X,n1),n1)) = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,multiply(add(X,n1),n1)),add(n1,multiply(add(X,n1),n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_854,plain,
( multiply(add(X,n1),n1) != n1
| add(n1,multiply(add(X,n1),n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(add(n1,multiply(add(X,n1),n1)),add(n1,multiply(add(X,n1),n1))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
add(n1,multiply(add(X,n1),n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),n1),n1) )],[refute_0_112,refute_0_854]) ).
cnf(refute_0_856,plain,
multiply(n1,add(add(X,n1),add(X,n1))) = add(n1,multiply(add(X,n1),n1)),
inference(subst,[],[refute_0_21:[bind(X_21,$fot(n1)),bind(X_23,$fot(add(X,n1)))]]) ).
cnf(refute_0_857,plain,
( multiply(n1,add(add(X,n1),add(X,n1))) != add(n1,multiply(add(X,n1),n1))
| add(n1,multiply(add(X,n1),n1)) != add(n1,n1)
| multiply(n1,add(add(X,n1),add(X,n1))) = add(n1,n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(n1,add(add(X,n1),add(X,n1))))),bind(Y0,$fot(add(n1,multiply(add(X,n1),n1)))),bind(Z0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_858,plain,
( add(n1,multiply(add(X,n1),n1)) != add(n1,n1)
| multiply(n1,add(add(X,n1),add(X,n1))) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X,n1),add(X,n1))),add(n1,multiply(add(X,n1),n1))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
multiply(n1,add(add(X,n1),add(X,n1))) = add(n1,n1),
inference(resolve,[$cnf( $equal(add(n1,multiply(add(X,n1),n1)),add(n1,n1)) )],[refute_0_855,refute_0_858]) ).
cnf(refute_0_860,plain,
( multiply(add(n1,n1),add(X,n1)) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(n1,add(add(X,n1),add(X,n1))) != add(n1,n1)
| multiply(add(n1,n1),add(X,n1)) = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(n1,n1),add(X,n1)),add(n1,n1)) ),[0],$fot(multiply(n1,add(add(X,n1),add(X,n1))))]]) ).
cnf(refute_0_861,plain,
( multiply(add(n1,n1),add(X,n1)) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(add(n1,n1),add(X,n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X,n1),add(X,n1))),add(n1,n1)) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
( multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)) != multiply(n1,add(add(X,n1),add(X,n1)))
| multiply(add(n1,n1),add(X,n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(X,n1)),multiply(n1,add(add(X,n1),add(X,n1)))) )],[refute_0_851,refute_0_861]) ).
cnf(refute_0_863,plain,
multiply(add(n1,n1),add(X,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(multiply(add(X,n1),n1),n1)),multiply(n1,add(add(X,n1),add(X,n1)))) )],[refute_0_814,refute_0_862]) ).
cnf(refute_0_864,plain,
multiply(add(n1,n1),add(n1,n1)) = add(n1,n1),
inference(subst,[],[refute_0_863:[bind(X,$fot(n1))]]) ).
cnf(refute_0_865,plain,
( multiply(add(X_46,n1),add(X,n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),add(n1,n1)) != add(n1,n1)
| multiply(add(X_46,n1),add(X,n1)) = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_46,n1),add(X,n1)),add(n1,n1)) ),[0],$fot(multiply(add(n1,n1),add(n1,n1)))]]) ).
cnf(refute_0_866,plain,
( multiply(add(X_46,n1),add(X,n1)) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(X_46,n1),add(X,n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,n1)),add(n1,n1)) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
multiply(add(X_46,n1),add(X,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(add(X_46,n1),add(X,n1)),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_809,refute_0_866]) ).
cnf(refute_0_868,plain,
multiply(add(X_115,n1),add(X_114,n1)) = add(n1,n1),
inference(subst,[],[refute_0_867:[bind(X,$fot(X_114)),bind(X_46,$fot(X_115))]]) ).
cnf(refute_0_869,plain,
( multiply(multiply(add(X_115,n1),add(X_114,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(X_115,n1),add(X_114,n1)) != add(n1,n1)
| multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_115,n1),add(X_114,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) ),[0,0],$fot(add(n1,n1))]]) ).
cnf(refute_0_870,plain,
( multiply(multiply(add(X_115,n1),add(X_114,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_115,n1),add(X_114,n1)),add(n1,n1)) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_115,n1),add(X_114,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) )],[refute_0_726,refute_0_870]) ).
cnf(refute_0_872,plain,
multiply(add(X_114,n1),n1) = n1,
inference(subst,[],[multiply_add:[bind(X,$fot(X_114)),bind(Y,$fot(n1))]]) ).
cnf(refute_0_873,plain,
multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_114,n1),n1),add(X_115,n1)))]]) ).
cnf(refute_0_874,plain,
( multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(X_114,n1),n1) != n1
| multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) = multiply(n1,add(X_115,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_875,plain,
( multiply(add(X_114,n1),n1) != n1
| multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) = multiply(n1,add(X_115,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) = multiply(n1,add(X_115,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_114,n1),n1),n1) )],[refute_0_872,refute_0_875]) ).
cnf(refute_0_877,plain,
multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),
introduced(tautology,[refl,[$fot(multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))))]]) ).
cnf(refute_0_878,plain,
( multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) != multiply(n1,add(X_115,n1))
| multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1)))
| multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(add(n1,n1),multiply(n1,add(X_115,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1)))) ),[1,1],$fot(multiply(n1,add(X_115,n1)))]]) ).
cnf(refute_0_879,plain,
( multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) != multiply(n1,add(X_115,n1))
| multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(add(n1,n1),multiply(n1,add(X_115,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1)))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) = multiply(add(n1,n1),multiply(n1,add(X_115,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),multiply(n1,add(X_115,n1))) )],[refute_0_876,refute_0_879]) ).
cnf(refute_0_881,plain,
( multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(add(n1,n1),multiply(n1,add(X_115,n1)))
| multiply(add(n1,n1),multiply(n1,add(X_115,n1))) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) ),[0],$fot(multiply(add(n1,n1),multiply(n1,add(X_115,n1))))]]) ).
cnf(refute_0_882,plain,
( multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(n1,n1),multiply(n1,add(X_115,n1))) = multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(add(n1,n1),multiply(n1,add(X_115,n1)))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
( multiply(multiply(add(X_114,n1),n1),add(X_115,n1)) != multiply(n1,add(X_115,n1))
| multiply(add(n1,n1),multiply(n1,add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(n1,n1),multiply(n1,add(X_115,n1))) = multiply(n1,add(X_115,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(X_115,n1))),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) ),[1],$fot(multiply(n1,add(X_115,n1)))]]) ).
cnf(refute_0_884,plain,
( multiply(add(n1,n1),multiply(n1,add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(n1,n1),multiply(n1,add(X_115,n1))) = multiply(n1,add(X_115,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_114,n1),n1),add(X_115,n1)),multiply(n1,add(X_115,n1))) )],[refute_0_876,refute_0_883]) ).
cnf(refute_0_885,plain,
( multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) != multiply(multiply(add(X_114,n1),n1),add(X_115,n1))
| multiply(add(n1,n1),multiply(n1,add(X_115,n1))) = multiply(n1,add(X_115,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(X_115,n1))),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) )],[refute_0_882,refute_0_884]) ).
cnf(refute_0_886,plain,
multiply(add(n1,n1),multiply(n1,add(X_115,n1))) = multiply(n1,add(X_115,n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))),multiply(multiply(add(X_114,n1),n1),add(X_115,n1))) )],[refute_0_871,refute_0_885]) ).
cnf(refute_0_887,plain,
multiply(add(n1,n1),multiply(n1,add(add(X,n1),n1))) = multiply(n1,add(add(X,n1),n1)),
inference(subst,[],[refute_0_886:[bind(X_115,$fot(add(X,n1)))]]) ).
cnf(refute_0_888,plain,
multiply(n1,add(add(X,n1),n1)) = add(n1,multiply(n1,n1)),
inference(subst,[],[refute_0_21:[bind(X_21,$fot(n1)),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_889,plain,
( multiply(add(n1,n1),multiply(n1,add(add(X,n1),n1))) != multiply(n1,add(add(X,n1),n1))
| multiply(n1,add(add(X,n1),n1)) != add(n1,multiply(n1,n1))
| multiply(add(n1,n1),add(n1,multiply(n1,n1))) = multiply(n1,add(add(X,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(add(X,n1),n1))),multiply(n1,add(add(X,n1),n1))) ),[0,1],$fot(add(n1,multiply(n1,n1)))]]) ).
cnf(refute_0_890,plain,
( multiply(add(n1,n1),multiply(n1,add(add(X,n1),n1))) != multiply(n1,add(add(X,n1),n1))
| multiply(add(n1,n1),add(n1,multiply(n1,n1))) = multiply(n1,add(add(X,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X,n1),n1)),add(n1,multiply(n1,n1))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
multiply(add(n1,n1),add(n1,multiply(n1,n1))) = multiply(n1,add(add(X,n1),n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(add(X,n1),n1))),multiply(n1,add(add(X,n1),n1))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
multiply(add(X_28,n1),add(Y,n1)) = add(n1,n1),
inference(subst,[],[refute_0_867:[bind(X,$fot(Y)),bind(X_46,$fot(X_28))]]) ).
cnf(refute_0_893,plain,
( multiply(add(X_28,n1),add(Y,multiply(n1,n1))) != multiply(add(X_28,n1),add(Y,n1))
| multiply(add(X_28,n1),add(Y,n1)) != add(n1,n1)
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_28,n1),add(Y,multiply(n1,n1))),add(n1,n1)) ),[0],$fot(multiply(add(X_28,n1),add(Y,n1)))]]) ).
cnf(refute_0_894,plain,
( multiply(add(X_28,n1),add(Y,multiply(n1,n1))) != multiply(add(X_28,n1),add(Y,n1))
| multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_28,n1),add(Y,n1)),add(n1,n1)) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
multiply(add(X_28,n1),add(Y,multiply(n1,n1))) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(add(X_28,n1),add(Y,multiply(n1,n1))),multiply(add(X_28,n1),add(Y,n1))) )],[refute_0_772,refute_0_894]) ).
cnf(refute_0_896,plain,
multiply(add(n1,n1),add(n1,multiply(n1,n1))) = add(n1,n1),
inference(subst,[],[refute_0_895:[bind(Y,$fot(n1)),bind(X_28,$fot(n1))]]) ).
cnf(refute_0_897,plain,
( multiply(add(n1,n1),add(n1,multiply(n1,n1))) != multiply(n1,add(add(X,n1),n1))
| multiply(add(n1,n1),add(n1,multiply(n1,n1))) != add(n1,n1)
| add(n1,n1) = multiply(n1,add(add(X,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),add(n1,multiply(n1,n1))),multiply(n1,add(add(X,n1),n1))) ),[0],$fot(add(n1,n1))]]) ).
cnf(refute_0_898,plain,
( multiply(add(n1,n1),add(n1,multiply(n1,n1))) != multiply(n1,add(add(X,n1),n1))
| add(n1,n1) = multiply(n1,add(add(X,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,multiply(n1,n1))),add(n1,n1)) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( multiply(X_21,add(X,n1)) != multiply(X_21,add(X_73,n1))
| multiply(X_21,add(X_73,n1)) = multiply(X_21,add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_21,add(X,n1)))),bind(Y0,$fot(multiply(X_21,add(X_73,n1))))]]) ).
cnf(refute_0_900,plain,
multiply(X_21,add(X_73,n1)) = multiply(X_21,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X,n1)),multiply(X_21,add(X_73,n1))) )],[refute_0_830,refute_0_899]) ).
cnf(refute_0_901,plain,
multiply(n1,add(add(X,n1),n1)) = multiply(n1,add(X,n1)),
inference(subst,[],[refute_0_900:[bind(X_21,$fot(n1)),bind(X_73,$fot(add(X,n1)))]]) ).
cnf(refute_0_902,plain,
( multiply(n1,add(add(X,n1),n1)) != multiply(n1,add(X,n1))
| add(n1,n1) != multiply(n1,add(add(X,n1),n1))
| add(n1,n1) = multiply(n1,add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,n1),multiply(n1,add(add(X,n1),n1))) ),[1],$fot(multiply(n1,add(X,n1)))]]) ).
cnf(refute_0_903,plain,
( add(n1,n1) != multiply(n1,add(add(X,n1),n1))
| add(n1,n1) = multiply(n1,add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X,n1),n1)),multiply(n1,add(X,n1))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
( multiply(add(n1,n1),add(n1,multiply(n1,n1))) != multiply(n1,add(add(X,n1),n1))
| add(n1,n1) = multiply(n1,add(X,n1)) ),
inference(resolve,[$cnf( $equal(add(n1,n1),multiply(n1,add(add(X,n1),n1))) )],[refute_0_898,refute_0_903]) ).
cnf(refute_0_905,plain,
add(n1,n1) = multiply(n1,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,multiply(n1,n1))),multiply(n1,add(add(X,n1),n1))) )],[refute_0_891,refute_0_904]) ).
cnf(refute_0_906,plain,
( add(n1,n1) != multiply(n1,add(X,n1))
| multiply(n1,add(X,n1)) = add(n1,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(n1,n1))),bind(Y0,$fot(multiply(n1,add(X,n1))))]]) ).
cnf(refute_0_907,plain,
multiply(n1,add(X,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(add(n1,n1),multiply(n1,add(X,n1))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
multiply(n1,add(X_132,n1)) = add(n1,n1),
inference(subst,[],[refute_0_907:[bind(X,$fot(X_132))]]) ).
cnf(refute_0_909,plain,
multiply(inverse(inverse(n1)),add(X_132,n1)) = multiply(inverse(inverse(n1)),add(X_132,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(n1)),add(X_132,n1)))]]) ).
cnf(refute_0_910,plain,
( multiply(inverse(inverse(n1)),add(X_132,n1)) != multiply(inverse(inverse(n1)),add(X_132,n1))
| inverse(inverse(n1)) != n1
| multiply(inverse(inverse(n1)),add(X_132,n1)) = multiply(n1,add(X_132,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X_132,n1)),multiply(inverse(inverse(n1)),add(X_132,n1))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_911,plain,
( inverse(inverse(n1)) != n1
| multiply(inverse(inverse(n1)),add(X_132,n1)) = multiply(n1,add(X_132,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X_132,n1)),multiply(inverse(inverse(n1)),add(X_132,n1))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
multiply(inverse(inverse(n1)),add(X_132,n1)) = multiply(n1,add(X_132,n1)),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_911]) ).
cnf(refute_0_913,plain,
( multiply(inverse(inverse(n1)),add(X_132,n1)) != multiply(n1,add(X_132,n1))
| multiply(n1,add(X_132,n1)) != add(n1,n1)
| multiply(inverse(inverse(n1)),add(X_132,n1)) = add(n1,n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(inverse(n1)),add(X_132,n1)))),bind(Y0,$fot(multiply(n1,add(X_132,n1)))),bind(Z0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_914,plain,
( multiply(n1,add(X_132,n1)) != add(n1,n1)
| multiply(inverse(inverse(n1)),add(X_132,n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X_132,n1)),multiply(n1,add(X_132,n1))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
multiply(inverse(inverse(n1)),add(X_132,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_132,n1)),add(n1,n1)) )],[refute_0_908,refute_0_914]) ).
cnf(refute_0_916,plain,
pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)))]]) ).
cnf(refute_0_917,plain,
( multiply(inverse(inverse(n1)),add(X_132,n1)) != add(n1,n1)
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) != pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1))
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1))) ),[1,0],$fot(add(n1,n1))]]) ).
cnf(refute_0_918,plain,
( multiply(inverse(inverse(n1)),add(X_132,n1)) != add(n1,n1)
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X_132,n1)),add(n1,n1)) )],[refute_0_915,refute_0_918]) ).
cnf(refute_0_920,plain,
( pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) != pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1))
| pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) != pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1))
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)))),bind(Y0,$fot(pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)))),bind(Z0,$fot(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1))))]]) ).
cnf(refute_0_921,plain,
( pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)) != pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1))
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) = pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1))) )],[refute_0_725,refute_0_921]) ).
cnf(refute_0_923,plain,
( pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) != pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) ),[0],$fot(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)))]]) ).
cnf(refute_0_924,plain,
( pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
multiply(n1,add(n1,n1)) = add(n1,n1),
inference(subst,[],[refute_0_907:[bind(X,$fot(n1))]]) ).
cnf(refute_0_926,plain,
multiply(inverse(inverse(n1)),add(n1,n1)) = multiply(inverse(inverse(n1)),add(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(n1)),add(n1,n1)))]]) ).
cnf(refute_0_927,plain,
( multiply(inverse(inverse(n1)),add(n1,n1)) != multiply(inverse(inverse(n1)),add(n1,n1))
| inverse(inverse(n1)) != n1
| multiply(inverse(inverse(n1)),add(n1,n1)) = multiply(n1,add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(n1)),add(n1,n1)),multiply(inverse(inverse(n1)),add(n1,n1))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_928,plain,
( inverse(inverse(n1)) != n1
| multiply(inverse(inverse(n1)),add(n1,n1)) = multiply(n1,add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(n1,n1)),multiply(inverse(inverse(n1)),add(n1,n1))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
multiply(inverse(inverse(n1)),add(n1,n1)) = multiply(n1,add(n1,n1)),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_928]) ).
cnf(refute_0_930,plain,
( multiply(inverse(inverse(n1)),add(n1,n1)) != multiply(n1,add(n1,n1))
| multiply(n1,add(n1,n1)) != add(n1,n1)
| multiply(inverse(inverse(n1)),add(n1,n1)) = add(n1,n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(inverse(n1)),add(n1,n1)))),bind(Y0,$fot(multiply(n1,add(n1,n1)))),bind(Z0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_931,plain,
( multiply(n1,add(n1,n1)) != add(n1,n1)
| multiply(inverse(inverse(n1)),add(n1,n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(n1,n1)),multiply(n1,add(n1,n1))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
multiply(inverse(inverse(n1)),add(n1,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,n1)),add(n1,n1)) )],[refute_0_925,refute_0_931]) ).
cnf(refute_0_933,plain,
( multiply(inverse(X),add(n1,n1)) != add(inverse(X),inverse(X))
| add(inverse(X),inverse(X)) = multiply(inverse(X),add(n1,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X),add(n1,n1)))),bind(Y0,$fot(add(inverse(X),inverse(X))))]]) ).
cnf(refute_0_934,plain,
add(inverse(X),inverse(X)) = multiply(inverse(X),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,n1)),add(inverse(X),inverse(X))) )],[refute_0_100,refute_0_933]) ).
cnf(refute_0_935,plain,
add(inverse(inverse(n1)),inverse(inverse(n1))) = multiply(inverse(inverse(n1)),add(n1,n1)),
inference(subst,[],[refute_0_934:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_936,plain,
( multiply(inverse(inverse(n1)),add(n1,n1)) != add(n1,n1)
| add(inverse(inverse(n1)),inverse(inverse(n1))) != multiply(inverse(inverse(n1)),add(n1,n1))
| add(inverse(inverse(n1)),inverse(inverse(n1))) = add(n1,n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(inverse(n1)),inverse(inverse(n1))))),bind(Y0,$fot(multiply(inverse(inverse(n1)),add(n1,n1)))),bind(Z0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_937,plain,
( multiply(inverse(inverse(n1)),add(n1,n1)) != add(n1,n1)
| add(inverse(inverse(n1)),inverse(inverse(n1))) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(inverse(n1))),multiply(inverse(inverse(n1)),add(n1,n1))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
add(inverse(inverse(n1)),inverse(inverse(n1))) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(n1,n1)),add(n1,n1)) )],[refute_0_932,refute_0_937]) ).
cnf(refute_0_939,plain,
( add(inverse(inverse(n1)),inverse(inverse(n1))) != add(n1,n1)
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) ),[1],$fot(add(n1,n1))]]) ).
cnf(refute_0_940,plain,
( pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(inverse(n1))),add(n1,n1)) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
( pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_924,refute_0_940]) ).
cnf(refute_0_942,plain,
pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(n1)),add(X_132,n1)),inverse(n1),add(inverse(inverse(n1)),n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_698,refute_0_941]) ).
cnf(refute_0_943,plain,
pixley(n1,inverse(n1),n1) = n1,
inference(subst,[],[pixley3:[bind(X,$fot(n1)),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_944,plain,
add(inverse(n1),inverse(inverse(n1))) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_945,plain,
( add(inverse(n1),inverse(inverse(n1))) != n1
| inverse(inverse(n1)) != n1
| add(inverse(n1),n1) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),inverse(inverse(n1))),n1) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_946,plain,
( add(inverse(n1),inverse(inverse(n1))) != n1
| add(inverse(n1),n1) = n1 ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_945]) ).
cnf(refute_0_947,plain,
add(inverse(n1),n1) = n1,
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(inverse(n1))),n1) )],[refute_0_944,refute_0_946]) ).
cnf(refute_0_948,plain,
pixley(n1,inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),add(inverse(n1),n1)),
introduced(tautology,[refl,[$fot(pixley(n1,inverse(n1),add(inverse(n1),n1)))]]) ).
cnf(refute_0_949,plain,
( add(inverse(n1),n1) != n1
| pixley(n1,inverse(n1),add(inverse(n1),n1)) != pixley(n1,inverse(n1),add(inverse(n1),n1))
| pixley(n1,inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,inverse(n1),add(inverse(n1),n1)),pixley(n1,inverse(n1),add(inverse(n1),n1))) ),[1,2],$fot(n1)]]) ).
cnf(refute_0_950,plain,
( add(inverse(n1),n1) != n1
| pixley(n1,inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),add(inverse(n1),n1)),pixley(n1,inverse(n1),add(inverse(n1),n1))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
pixley(n1,inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_947,refute_0_950]) ).
cnf(refute_0_952,plain,
( pixley(n1,inverse(n1),add(inverse(n1),n1)) != pixley(n1,inverse(n1),n1)
| pixley(n1,inverse(n1),n1) != n1
| pixley(n1,inverse(n1),add(inverse(n1),n1)) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(n1,inverse(n1),add(inverse(n1),n1)))),bind(Y0,$fot(pixley(n1,inverse(n1),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_953,plain,
( pixley(n1,inverse(n1),n1) != n1
| pixley(n1,inverse(n1),add(inverse(n1),n1)) = n1 ),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),add(inverse(n1),n1)),pixley(n1,inverse(n1),n1)) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
pixley(n1,inverse(n1),add(inverse(n1),n1)) = n1,
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),n1),n1) )],[refute_0_943,refute_0_953]) ).
cnf(refute_0_955,plain,
pixley(n1,X_11,X_12) = add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(n1)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_956,plain,
multiply(n1,inverse(X_11)) = inverse(X_11),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_957,plain,
( multiply(n1,inverse(X_11)) != inverse(X_11)
| pixley(n1,X_11,X_12) != add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))
| pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,X_11,X_12),add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_958,plain,
( pixley(n1,X_11,X_12) != add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))
| pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_11)),inverse(X_11)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))),
inference(resolve,[$cnf( $equal(pixley(n1,X_11,X_12),add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))) )],[refute_0_955,refute_0_958]) ).
cnf(refute_0_960,plain,
pixley(n1,inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(n1,inverse(inverse(n1))))),
inference(subst,[],[refute_0_959:[bind(X_11,$fot(inverse(n1)))]]) ).
cnf(refute_0_961,plain,
( inverse(inverse(n1)) != n1
| pixley(n1,inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(n1,inverse(inverse(n1)))))
| pixley(n1,inverse(n1),X_12) = add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(n1,inverse(inverse(n1)))))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_962,plain,
( pixley(n1,inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(n1,inverse(inverse(n1)))))
| pixley(n1,inverse(n1),X_12) = add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_961]) ).
cnf(refute_0_963,plain,
pixley(n1,inverse(n1),X_12) = add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(n1,inverse(inverse(n1)))))) )],[refute_0_960,refute_0_962]) ).
cnf(refute_0_964,plain,
add(n1,inverse(inverse(n1))) = add(n1,inverse(inverse(n1))),
introduced(tautology,[refl,[$fot(add(n1,inverse(inverse(n1))))]]) ).
cnf(refute_0_965,plain,
( add(n1,inverse(inverse(n1))) != add(n1,inverse(inverse(n1)))
| inverse(inverse(n1)) != n1
| add(n1,inverse(inverse(n1))) = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,inverse(inverse(n1))),add(n1,inverse(inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_966,plain,
( inverse(inverse(n1)) != n1
| add(n1,inverse(inverse(n1))) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(add(n1,inverse(inverse(n1))),add(n1,inverse(inverse(n1)))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
add(n1,inverse(inverse(n1))) = add(n1,n1),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(X_12,add(n1,inverse(inverse(n1)))) = multiply(X_12,add(n1,inverse(inverse(n1)))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(n1,inverse(inverse(n1)))))]]) ).
cnf(refute_0_969,plain,
( multiply(X_12,add(n1,inverse(inverse(n1)))) != multiply(X_12,add(n1,inverse(inverse(n1))))
| add(n1,inverse(inverse(n1))) != add(n1,n1)
| multiply(X_12,add(n1,inverse(inverse(n1)))) = multiply(X_12,add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(n1,inverse(inverse(n1)))),multiply(X_12,add(n1,inverse(inverse(n1))))) ),[1,1],$fot(add(n1,n1))]]) ).
cnf(refute_0_970,plain,
( add(n1,inverse(inverse(n1))) != add(n1,n1)
| multiply(X_12,add(n1,inverse(inverse(n1)))) = multiply(X_12,add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(inverse(n1)))),multiply(X_12,add(n1,inverse(inverse(n1))))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
multiply(X_12,add(n1,inverse(inverse(n1)))) = multiply(X_12,add(n1,n1)),
inference(resolve,[$cnf( $equal(add(n1,inverse(inverse(n1))),add(n1,n1)) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) = add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))),
introduced(tautology,[refl,[$fot(add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))))]]) ).
cnf(refute_0_973,plain,
( multiply(X_12,add(n1,inverse(inverse(n1)))) != multiply(X_12,add(n1,n1))
| add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) != add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))
| add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) = add(n1,multiply(X_12,add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))),add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))) ),[1,1],$fot(multiply(X_12,add(n1,n1)))]]) ).
cnf(refute_0_974,plain,
( multiply(X_12,add(n1,inverse(inverse(n1)))) != multiply(X_12,add(n1,n1))
| add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) = add(n1,multiply(X_12,add(n1,n1))) ),
inference(resolve,[$cnf( $equal(add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))),add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) = add(n1,multiply(X_12,add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(inverse(n1)))),multiply(X_12,add(n1,n1))) )],[refute_0_971,refute_0_974]) ).
cnf(refute_0_976,plain,
( add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))) != add(n1,multiply(X_12,add(n1,n1)))
| pixley(n1,inverse(n1),X_12) != add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))
| pixley(n1,inverse(n1),X_12) = add(n1,multiply(X_12,add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,inverse(n1),X_12),add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))) ),[1],$fot(add(n1,multiply(X_12,add(n1,n1))))]]) ).
cnf(refute_0_977,plain,
( pixley(n1,inverse(n1),X_12) != add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))
| pixley(n1,inverse(n1),X_12) = add(n1,multiply(X_12,add(n1,n1))) ),
inference(resolve,[$cnf( $equal(add(n1,multiply(X_12,add(n1,inverse(inverse(n1))))),add(n1,multiply(X_12,add(n1,n1)))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
pixley(n1,inverse(n1),X_12) = add(n1,multiply(X_12,add(n1,n1))),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),X_12),add(n1,multiply(X_12,add(n1,inverse(inverse(n1)))))) )],[refute_0_963,refute_0_977]) ).
cnf(refute_0_979,plain,
( pixley(n1,inverse(n1),X_12) != add(n1,multiply(X_12,add(n1,n1)))
| add(n1,multiply(X_12,add(n1,n1))) = pixley(n1,inverse(n1),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(n1,inverse(n1),X_12))),bind(Y0,$fot(add(n1,multiply(X_12,add(n1,n1)))))]]) ).
cnf(refute_0_980,plain,
add(n1,multiply(X_12,add(n1,n1))) = pixley(n1,inverse(n1),X_12),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),X_12),add(n1,multiply(X_12,add(n1,n1)))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
add(n1,multiply(add(inverse(n1),n1),add(n1,n1))) = pixley(n1,inverse(n1),add(inverse(n1),n1)),
inference(subst,[],[refute_0_980:[bind(X_12,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_982,plain,
pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),inverse(inverse(n1))))),
inference(subst,[],[refute_0_282:[bind(X_11,$fot(inverse(n1)))]]) ).
cnf(refute_0_983,plain,
( inverse(inverse(n1)) != n1
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),inverse(inverse(n1)))))
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),inverse(inverse(n1)))))) ),[1,1,1,1],$fot(n1)]]) ).
cnf(refute_0_984,plain,
( pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),inverse(inverse(n1)))))
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_983]) ).
cnf(refute_0_985,plain,
pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),inverse(inverse(n1)))))) )],[refute_0_982,refute_0_984]) ).
cnf(refute_0_986,plain,
add(X,inverse(inverse(n1))) = add(X,inverse(inverse(n1))),
introduced(tautology,[refl,[$fot(add(X,inverse(inverse(n1))))]]) ).
cnf(refute_0_987,plain,
( add(X,inverse(inverse(n1))) != add(X,inverse(inverse(n1)))
| inverse(inverse(n1)) != n1
| add(X,inverse(inverse(n1))) = add(X,n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,inverse(inverse(n1))),add(X,inverse(inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_988,plain,
( inverse(inverse(n1)) != n1
| add(X,inverse(inverse(n1))) = add(X,n1) ),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(n1))),add(X,inverse(inverse(n1)))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
add(X,inverse(inverse(n1))) = add(X,n1),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_988]) ).
cnf(refute_0_990,plain,
pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),
introduced(tautology,[refl,[$fot(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12))]]) ).
cnf(refute_0_991,plain,
( add(X,inverse(inverse(n1))) != add(X,n1)
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12)
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = pixley(add(X,n1),inverse(n1),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12)) ),[1,0],$fot(add(X,n1))]]) ).
cnf(refute_0_992,plain,
( add(X,inverse(inverse(n1))) != add(X,n1)
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = pixley(add(X,n1),inverse(n1),X_12) ),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12)) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) = pixley(add(X,n1),inverse(n1),X_12),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(n1))),add(X,n1)) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
( pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != pixley(add(X,n1),inverse(n1),X_12)
| pixley(add(X,n1),inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) ),[0],$fot(pixley(add(X,n1),inverse(n1),X_12))]]) ).
cnf(refute_0_995,plain,
( pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| pixley(add(X,n1),inverse(n1),X_12) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) ),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),pixley(add(X,n1),inverse(n1),X_12)) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
multiply(X_12,add(add(X,inverse(inverse(n1))),n1)) = multiply(X_12,add(X,n1)),
inference(subst,[],[refute_0_900:[bind(X_21,$fot(X_12)),bind(X_73,$fot(add(X,inverse(inverse(n1)))))]]) ).
cnf(refute_0_997,plain,
add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),
introduced(tautology,[refl,[$fot(add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))))]]) ).
cnf(refute_0_998,plain,
( multiply(X_12,add(add(X,inverse(inverse(n1))),n1)) != multiply(X_12,add(X,n1))
| add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) != add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) ),[1,1],$fot(multiply(X_12,add(X,n1)))]]) ).
cnf(refute_0_999,plain,
( multiply(X_12,add(add(X,inverse(inverse(n1))),n1)) != multiply(X_12,add(X,n1))
| add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(X_12,add(add(X,inverse(inverse(n1))),n1)),multiply(X_12,add(X,n1))) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))))]]) ).
cnf(refute_0_1002,plain,
( add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| inverse(inverse(n1)) != n1
| add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_1003,plain,
( inverse(inverse(n1)) != n1
| add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) != add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) != add(n1,multiply(X_12,add(X,n1)))
| add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(X,n1))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))))),bind(Y0,$fot(add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))))),bind(Z0,$fot(add(n1,multiply(X_12,add(X,n1)))))]]) ).
cnf(refute_0_1006,plain,
( add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) != add(n1,multiply(X_12,add(X,n1)))
| add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) = add(n1,multiply(X_12,add(X,n1))),
inference(resolve,[$cnf( $equal(add(n1,multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(n1,multiply(X_12,add(X,n1)))) )],[refute_0_1000,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))) != add(n1,multiply(X_12,add(X,n1)))
| pixley(add(X,n1),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| pixley(add(X,n1),inverse(n1),X_12) = add(n1,multiply(X_12,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,n1),inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) ),[1],$fot(add(n1,multiply(X_12,add(X,n1))))]]) ).
cnf(refute_0_1009,plain,
( pixley(add(X,n1),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| pixley(add(X,n1),inverse(n1),X_12) = add(n1,multiply(X_12,add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1))),add(n1,multiply(X_12,add(X,n1)))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12) != add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))
| pixley(add(X,n1),inverse(n1),X_12) = add(n1,multiply(X_12,add(X,n1))) ),
inference(resolve,[$cnf( $equal(pixley(add(X,n1),inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) )],[refute_0_995,refute_0_1009]) ).
cnf(refute_0_1011,plain,
pixley(add(X,n1),inverse(n1),X_12) = add(n1,multiply(X_12,add(X,n1))),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(inverse(n1))),inverse(n1),X_12),add(inverse(inverse(n1)),multiply(X_12,add(add(X,inverse(inverse(n1))),n1)))) )],[refute_0_985,refute_0_1010]) ).
cnf(refute_0_1012,plain,
pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = add(n1,multiply(add(inverse(n1),n1),add(n1,n1))),
inference(subst,[],[refute_0_1011:[bind(X,$fot(n1)),bind(X_12,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_1013,plain,
( add(n1,multiply(add(inverse(n1),n1),add(n1,n1))) != pixley(n1,inverse(n1),add(inverse(n1),n1))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != add(n1,multiply(add(inverse(n1),n1),add(n1,n1)))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),add(inverse(n1),n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)))),bind(Y0,$fot(add(n1,multiply(add(inverse(n1),n1),add(n1,n1))))),bind(Z0,$fot(pixley(n1,inverse(n1),add(inverse(n1),n1))))]]) ).
cnf(refute_0_1014,plain,
( add(n1,multiply(add(inverse(n1),n1),add(n1,n1))) != pixley(n1,inverse(n1),add(inverse(n1),n1))
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),add(n1,multiply(add(inverse(n1),n1),add(n1,n1)))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = pixley(n1,inverse(n1),add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(add(n1,multiply(add(inverse(n1),n1),add(n1,n1))),pixley(n1,inverse(n1),add(inverse(n1),n1))) )],[refute_0_981,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != pixley(n1,inverse(n1),add(inverse(n1),n1))
| pixley(n1,inverse(n1),add(inverse(n1),n1)) != n1
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)))),bind(Y0,$fot(pixley(n1,inverse(n1),add(inverse(n1),n1)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1017,plain,
( pixley(n1,inverse(n1),add(inverse(n1),n1)) != n1
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = n1 ),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),pixley(n1,inverse(n1),add(inverse(n1),n1))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) = n1,
inference(resolve,[$cnf( $equal(pixley(n1,inverse(n1),add(inverse(n1),n1)),n1) )],[refute_0_954,refute_0_1017]) ).
cnf(refute_0_1019,plain,
( pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != add(n1,n1)
| pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != n1
| n1 = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),add(n1,n1)) ),[0],$fot(n1)]]) ).
cnf(refute_0_1020,plain,
( pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)) != add(n1,n1)
| n1 = add(n1,n1) ),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),n1) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
n1 = add(n1,n1),
inference(resolve,[$cnf( $equal(pixley(add(n1,n1),inverse(n1),add(inverse(n1),n1)),add(n1,n1)) )],[refute_0_942,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( n1 != add(n1,n1)
| add(n1,n1) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_1023,plain,
add(n1,n1) = n1,
inference(resolve,[$cnf( $equal(n1,add(n1,n1)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
multiply(inverse(X_54),add(n1,n1)) = multiply(inverse(X_54),add(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_54),add(n1,n1)))]]) ).
cnf(refute_0_1025,plain,
( multiply(inverse(X_54),add(n1,n1)) != multiply(inverse(X_54),add(n1,n1))
| add(n1,n1) != n1
| multiply(inverse(X_54),add(n1,n1)) = multiply(inverse(X_54),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_54),add(n1,n1)),multiply(inverse(X_54),add(n1,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1026,plain,
( add(n1,n1) != n1
| multiply(inverse(X_54),add(n1,n1)) = multiply(inverse(X_54),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),add(n1,n1)),multiply(inverse(X_54),add(n1,n1))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
multiply(inverse(X_54),add(n1,n1)) = multiply(inverse(X_54),n1),
inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( multiply(inverse(X_54),add(n1,n1)) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(inverse(X_54),add(n1,n1)) != multiply(inverse(X_54),n1)
| multiply(inverse(X_54),n1) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_54),add(n1,n1)),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) ),[0],$fot(multiply(inverse(X_54),n1))]]) ).
cnf(refute_0_1029,plain,
( multiply(inverse(X_54),add(n1,n1)) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(inverse(X_54),n1) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),add(n1,n1)),multiply(inverse(X_54),n1)) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
multiply(add(X_166,inverse(X)),add(multiply(X_165,inverse(X)),inverse(X))) = add(multiply(X_165,inverse(X)),inverse(X)),
inference(subst,[],[refute_0_252:[bind(X,$fot(X_165)),bind(X_59,$fot(X_166)),bind(X_60,$fot(inverse(X)))]]) ).
cnf(refute_0_1031,plain,
multiply(inverse(X),add(X_165,n1)) = add(multiply(X_165,inverse(X)),inverse(X)),
inference(subst,[],[refute_0_60:[bind(X_22,$fot(X_165))]]) ).
cnf(refute_0_1032,plain,
( multiply(inverse(X),add(X_165,n1)) != add(multiply(X_165,inverse(X)),inverse(X))
| add(multiply(X_165,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_165,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X),add(X_165,n1)))),bind(Y0,$fot(add(multiply(X_165,inverse(X)),inverse(X))))]]) ).
cnf(refute_0_1033,plain,
add(multiply(X_165,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_165,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_165,n1)),add(multiply(X_165,inverse(X)),inverse(X))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( multiply(add(X_166,inverse(X)),add(multiply(X_165,inverse(X)),inverse(X))) != add(multiply(X_165,inverse(X)),inverse(X))
| add(multiply(X_165,inverse(X)),inverse(X)) != multiply(inverse(X),add(X_165,n1))
| multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) = add(multiply(X_165,inverse(X)),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_166,inverse(X)),add(multiply(X_165,inverse(X)),inverse(X))),add(multiply(X_165,inverse(X)),inverse(X))) ),[0,1],$fot(multiply(inverse(X),add(X_165,n1)))]]) ).
cnf(refute_0_1035,plain,
( multiply(add(X_166,inverse(X)),add(multiply(X_165,inverse(X)),inverse(X))) != add(multiply(X_165,inverse(X)),inverse(X))
| multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) = add(multiply(X_165,inverse(X)),inverse(X)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_165,inverse(X)),inverse(X)),multiply(inverse(X),add(X_165,n1))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) = add(multiply(X_165,inverse(X)),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(add(X_166,inverse(X)),add(multiply(X_165,inverse(X)),inverse(X))),add(multiply(X_165,inverse(X)),inverse(X))) )],[refute_0_1030,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) != add(multiply(X_165,inverse(X)),inverse(X))
| add(multiply(X_165,inverse(X)),inverse(X)) != multiply(inverse(X),add(X_165,n1))
| multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) = multiply(inverse(X),add(X_165,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))),multiply(inverse(X),add(X_165,n1))) ),[0],$fot(add(multiply(X_165,inverse(X)),inverse(X)))]]) ).
cnf(refute_0_1038,plain,
( multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) != add(multiply(X_165,inverse(X)),inverse(X))
| multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) = multiply(inverse(X),add(X_165,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_165,inverse(X)),inverse(X)),multiply(inverse(X),add(X_165,n1))) )],[refute_0_1033,refute_0_1037]) ).
cnf(refute_0_1039,plain,
multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))) = multiply(inverse(X),add(X_165,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_166,inverse(X)),multiply(inverse(X),add(X_165,n1))),add(multiply(X_165,inverse(X)),inverse(X))) )],[refute_0_1036,refute_0_1038]) ).
cnf(refute_0_1040,plain,
multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))) = multiply(inverse(X_54),add(X,n1)),
inference(subst,[],[refute_0_1039:[bind(X,$fot(X_54)),bind(X_165,$fot(X)),bind(X_166,$fot(inverse(X_54)))]]) ).
cnf(refute_0_1041,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91))))),
inference(subst,[],[refute_0_21:[bind(X_21,$fot(multiply(X_23,add(X_23,inverse(X_91)))))]]) ).
cnf(refute_0_1042,plain,
multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))) = multiply(X_23,add(X_23,inverse(X_91))),
inference(subst,[],[refute_0_434:[bind(X_54,$fot(X_91)),bind(X_55,$fot(X_23))]]) ).
cnf(refute_0_1043,plain,
( multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))) != multiply(X_23,add(X_23,inverse(X_91)))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))))) ),[1,1],$fot(multiply(X_23,add(X_23,inverse(X_91))))]]) ).
cnf(refute_0_1044,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))) ),
inference(resolve,[$cnf( $equal(multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))),multiply(X_23,add(X_23,inverse(X_91)))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))))) )],[refute_0_1041,refute_0_1044]) ).
cnf(refute_0_1046,plain,
pixley(X_23,X_91,X_23) = X_23,
inference(subst,[],[pixley3:[bind(X,$fot(X_23)),bind(Y,$fot(X_91))]]) ).
cnf(refute_0_1047,plain,
add(pixley(X_23,X_91,X_23),X_23) = add(pixley(X_23,X_91,X_23),X_23),
introduced(tautology,[refl,[$fot(add(pixley(X_23,X_91,X_23),X_23))]]) ).
cnf(refute_0_1048,plain,
( add(pixley(X_23,X_91,X_23),X_23) != add(pixley(X_23,X_91,X_23),X_23)
| pixley(X_23,X_91,X_23) != X_23
| add(pixley(X_23,X_91,X_23),X_23) = add(X_23,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(pixley(X_23,X_91,X_23),X_23),add(pixley(X_23,X_91,X_23),X_23)) ),[1,0],$fot(X_23)]]) ).
cnf(refute_0_1049,plain,
( pixley(X_23,X_91,X_23) != X_23
| add(pixley(X_23,X_91,X_23),X_23) = add(X_23,X_23) ),
inference(resolve,[$cnf( $equal(add(pixley(X_23,X_91,X_23),X_23),add(pixley(X_23,X_91,X_23),X_23)) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
add(pixley(X_23,X_91,X_23),X_23) = add(X_23,X_23),
inference(resolve,[$cnf( $equal(pixley(X_23,X_91,X_23),X_23) )],[refute_0_1046,refute_0_1049]) ).
cnf(refute_0_1051,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)))]]) ).
cnf(refute_0_1052,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))
| add(pixley(X_23,X_91,X_23),X_23) != add(X_23,X_23)
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)),multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))) ),[1,1],$fot(add(X_23,X_23))]]) ).
cnf(refute_0_1053,plain,
( add(pixley(X_23,X_91,X_23),X_23) != add(X_23,X_23)
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)),multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)),
inference(resolve,[$cnf( $equal(add(pixley(X_23,X_91,X_23),X_23),add(X_23,X_23)) )],[refute_0_1050,refute_0_1053]) ).
cnf(refute_0_1055,plain,
multiply(multiply(Z,add(X,inverse(Y))),add(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),X_39)) = add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y))))),
inference(subst,[],[refute_0_21:[bind(X,$fot(multiply(X,inverse(Y)))),bind(X_21,$fot(multiply(Z,add(X,inverse(Y))))),bind(X_23,$fot(X_39))]]) ).
cnf(refute_0_1056,plain,
( multiply(multiply(Z,add(X,inverse(Y))),add(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),X_39)) != add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))
| add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) != pixley(X,Y,Z)
| multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)) = add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Z,add(X,inverse(Y))),add(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),X_39)),add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))) ),[0,1,0],$fot(pixley(X,Y,Z))]]) ).
cnf(refute_0_1057,plain,
( multiply(multiply(Z,add(X,inverse(Y))),add(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),X_39)) != add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))
| multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)) = add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),pixley(X,Y,Z)) )],[refute_0_352,refute_0_1056]) ).
cnf(refute_0_1058,plain,
multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)) = add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(multiply(Z,add(X,inverse(Y))),add(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),X_39)),add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))) )],[refute_0_1055,refute_0_1057]) ).
cnf(refute_0_1059,plain,
( multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)) != add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))
| add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y))))) = multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)))),bind(Y0,$fot(add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))))]]) ).
cnf(refute_0_1060,plain,
add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y))))) = multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)),
inference(resolve,[$cnf( $equal(multiply(multiply(Z,add(X,inverse(Y))),add(pixley(X,Y,Z),X_39)),add(multiply(Z,add(X,inverse(Y))),multiply(X_39,multiply(Z,add(X,inverse(Y)))))) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91))))) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)),
inference(subst,[],[refute_0_1060:[bind(X,$fot(X_23)),bind(Y,$fot(X_91)),bind(Z,$fot(X_23)),bind(X_39,$fot(X_23))]]) ).
cnf(refute_0_1062,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))))
| add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91))))) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)))),bind(Y0,$fot(add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91))))))),bind(Z0,$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))))]]) ).
cnf(refute_0_1063,plain,
( add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91))))) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91)))))) )],[refute_0_1041,refute_0_1062]) ).
cnf(refute_0_1064,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)),
inference(resolve,[$cnf( $equal(add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,multiply(X_23,add(X_23,inverse(X_91))))),multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))) )],[refute_0_1061,refute_0_1063]) ).
cnf(refute_0_1065,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)))),bind(Y0,$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)))),bind(Z0,$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23))))]]) ).
cnf(refute_0_1066,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) = multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(pixley(X_23,X_91,X_23),X_23)),multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23))) )],[refute_0_1054,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) = add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))) ),[0],$fot(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)))]]) ).
cnf(refute_0_1069,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) = add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))) = multiply(add(X_23,inverse(X_91)),add(X_23,X_23)),
inference(subst,[],[refute_0_4:[bind(X,$fot(add(X_23,inverse(X_91)))),bind(Y,$fot(X_23)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_1071,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))
| add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))) != multiply(add(X_23,inverse(X_91)),add(X_23,X_23))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) = multiply(add(X_23,inverse(X_91)),add(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)),multiply(add(X_23,inverse(X_91)),add(X_23,X_23))) ),[0],$fot(add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))))]]) ).
cnf(refute_0_1072,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) = multiply(add(X_23,inverse(X_91)),add(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91)))),multiply(add(X_23,inverse(X_91)),add(X_23,X_23))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)) != add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))
| multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) = multiply(add(X_23,inverse(X_91)),add(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)),add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
multiply(multiply(X_23,add(X_23,inverse(X_91))),add(X_23,X_23)) = multiply(add(X_23,inverse(X_91)),add(X_23,X_23)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,add(X_23,inverse(X_91))),add(add(X,multiply(X_23,add(X_23,inverse(X_91)))),X_23)),add(multiply(X_23,add(X_23,inverse(X_91))),multiply(X_23,add(X_23,inverse(X_91))))) )],[refute_0_1045,refute_0_1073]) ).
cnf(refute_0_1075,plain,
multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))),
inference(subst,[],[refute_0_1074:[bind(X_23,$fot(inverse(X_121))),bind(X_91,$fot(X_121))]]) ).
cnf(refute_0_1076,plain,
multiply(inverse(X_121),add(X,n1)) = add(inverse(X_121),inverse(X_121)),
inference(subst,[],[refute_0_127:[bind(X_47,$fot(X_121))]]) ).
cnf(refute_0_1077,plain,
( multiply(inverse(X_121),add(X,n1)) != add(inverse(X_121),inverse(X_121))
| add(inverse(X_121),inverse(X_121)) = multiply(inverse(X_121),add(X,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_121),add(X,n1)))),bind(Y0,$fot(add(inverse(X_121),inverse(X_121))))]]) ).
cnf(refute_0_1078,plain,
add(inverse(X_121),inverse(X_121)) = multiply(inverse(X_121),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| add(inverse(X_121),inverse(X_121)) != multiply(inverse(X_121),add(X,n1))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))) ),[0,0,1],$fot(multiply(inverse(X_121),add(X,n1)))]]) ).
cnf(refute_0_1080,plain,
( multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_121),inverse(X_121)),multiply(inverse(X_121),add(X,n1))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1075,refute_0_1080]) ).
cnf(refute_0_1082,plain,
multiply(add(X_166,X_167),add(multiply(add(X,X_167),X_167),X_167)) = add(multiply(add(X,X_167),X_167),X_167),
inference(subst,[],[refute_0_252:[bind(X,$fot(add(X,X_167))),bind(X_59,$fot(X_166)),bind(X_60,$fot(X_167))]]) ).
cnf(refute_0_1083,plain,
multiply(add(X,X_167),X_167) = X_167,
inference(subst,[],[multiply_add:[bind(Y,$fot(X_167))]]) ).
cnf(refute_0_1084,plain,
( multiply(add(X,X_167),X_167) != X_167
| multiply(add(X_166,X_167),add(multiply(add(X,X_167),X_167),X_167)) != add(multiply(add(X,X_167),X_167),X_167)
| multiply(add(X_166,X_167),add(X_167,X_167)) = add(multiply(add(X,X_167),X_167),X_167) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_166,X_167),add(multiply(add(X,X_167),X_167),X_167)),add(multiply(add(X,X_167),X_167),X_167)) ),[0,1,0],$fot(X_167)]]) ).
cnf(refute_0_1085,plain,
( multiply(add(X_166,X_167),add(multiply(add(X,X_167),X_167),X_167)) != add(multiply(add(X,X_167),X_167),X_167)
| multiply(add(X_166,X_167),add(X_167,X_167)) = add(multiply(add(X,X_167),X_167),X_167) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_167),X_167),X_167) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
multiply(add(X_166,X_167),add(X_167,X_167)) = add(multiply(add(X,X_167),X_167),X_167),
inference(resolve,[$cnf( $equal(multiply(add(X_166,X_167),add(multiply(add(X,X_167),X_167),X_167)),add(multiply(add(X,X_167),X_167),X_167)) )],[refute_0_1082,refute_0_1085]) ).
cnf(refute_0_1087,plain,
add(multiply(add(X,X_167),X_167),X_167) = add(multiply(add(X,X_167),X_167),X_167),
introduced(tautology,[refl,[$fot(add(multiply(add(X,X_167),X_167),X_167))]]) ).
cnf(refute_0_1088,plain,
( multiply(add(X,X_167),X_167) != X_167
| add(multiply(add(X,X_167),X_167),X_167) != add(multiply(add(X,X_167),X_167),X_167)
| add(multiply(add(X,X_167),X_167),X_167) = add(X_167,X_167) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X,X_167),X_167),X_167),add(multiply(add(X,X_167),X_167),X_167)) ),[1,0],$fot(X_167)]]) ).
cnf(refute_0_1089,plain,
( multiply(add(X,X_167),X_167) != X_167
| add(multiply(add(X,X_167),X_167),X_167) = add(X_167,X_167) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X,X_167),X_167),X_167),add(multiply(add(X,X_167),X_167),X_167)) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
add(multiply(add(X,X_167),X_167),X_167) = add(X_167,X_167),
inference(resolve,[$cnf( $equal(multiply(add(X,X_167),X_167),X_167) )],[refute_0_1083,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( multiply(add(X_166,X_167),add(X_167,X_167)) != add(multiply(add(X,X_167),X_167),X_167)
| add(multiply(add(X,X_167),X_167),X_167) != add(X_167,X_167)
| multiply(add(X_166,X_167),add(X_167,X_167)) = add(X_167,X_167) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_166,X_167),add(X_167,X_167)),add(X_167,X_167)) ),[0],$fot(add(multiply(add(X,X_167),X_167),X_167))]]) ).
cnf(refute_0_1092,plain,
( multiply(add(X_166,X_167),add(X_167,X_167)) != add(multiply(add(X,X_167),X_167),X_167)
| multiply(add(X_166,X_167),add(X_167,X_167)) = add(X_167,X_167) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X,X_167),X_167),X_167),add(X_167,X_167)) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
multiply(add(X_166,X_167),add(X_167,X_167)) = add(X_167,X_167),
inference(resolve,[$cnf( $equal(multiply(add(X_166,X_167),add(X_167,X_167)),add(multiply(add(X,X_167),X_167),X_167)) )],[refute_0_1086,refute_0_1092]) ).
cnf(refute_0_1094,plain,
multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) = add(inverse(X_121),inverse(X_121)),
inference(subst,[],[refute_0_1093:[bind(X_166,$fot(inverse(X_121))),bind(X_167,$fot(inverse(X_121)))]]) ).
cnf(refute_0_1095,plain,
( multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) != add(inverse(X_121),inverse(X_121))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = add(inverse(X_121),inverse(X_121)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) ),[0],$fot(multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))))]]) ).
cnf(refute_0_1096,plain,
( multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = add(inverse(X_121),inverse(X_121)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = add(inverse(X_121),inverse(X_121)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1081,refute_0_1096]) ).
cnf(refute_0_1098,plain,
multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) = add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))),
inference(subst,[],[refute_0_252:[bind(X,$fot(X_165)),bind(X_59,$fot(X_166)),bind(X_60,$fot(multiply(n1,add(X_165,X_165))))]]) ).
cnf(refute_0_1099,plain,
multiply(X_165,multiply(n1,add(X_165,X_165))) = multiply(n1,add(X_165,X_165)),
inference(subst,[],[refute_0_463:[bind(X_61,$fot(X_165))]]) ).
cnf(refute_0_1100,plain,
( multiply(X_165,multiply(n1,add(X_165,X_165))) != multiply(n1,add(X_165,X_165))
| multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) ),[0,1,0],$fot(multiply(n1,add(X_165,X_165)))]]) ).
cnf(refute_0_1101,plain,
( multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) ),
inference(resolve,[$cnf( $equal(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))),
inference(resolve,[$cnf( $equal(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165))) = multiply(add(X_165,X_165),add(n1,n1)),
inference(subst,[],[refute_0_4:[bind(X,$fot(add(X_165,X_165))),bind(Y,$fot(n1)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_1104,plain,
multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165))),
inference(subst,[],[refute_0_1093:[bind(X_167,$fot(multiply(n1,add(X_165,X_165))))]]) ).
cnf(refute_0_1105,plain,
( multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) != add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))
| add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165))) != multiply(add(X_165,X_165),add(n1,n1))
| multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = multiply(add(X_165,X_165),add(n1,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))))),bind(Y0,$fot(add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165))))),bind(Z0,$fot(multiply(add(X_165,X_165),add(n1,n1))))]]) ).
cnf(refute_0_1106,plain,
( add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165))) != multiply(add(X_165,X_165),add(n1,n1))
| multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = multiply(add(X_165,X_165),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) = multiply(add(X_165,X_165),add(n1,n1)),
inference(resolve,[$cnf( $equal(add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165))),multiply(add(X_165,X_165),add(n1,n1))) )],[refute_0_1103,refute_0_1106]) ).
cnf(refute_0_1108,plain,
( multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) != multiply(add(X_165,X_165),add(n1,n1))
| multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| multiply(add(X_165,X_165),add(n1,n1)) = add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) ),[0],$fot(multiply(add(X_165,X_165),add(n1,n1)))]]) ).
cnf(refute_0_1109,plain,
( multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| multiply(add(X_165,X_165),add(n1,n1)) = add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))),multiply(add(X_165,X_165),add(n1,n1))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
multiply(multiply(n1,add(Z,Z)),add(Y,Z)) = add(multiply(Y,multiply(n1,add(Z,Z))),multiply(Z,multiply(n1,add(Z,Z)))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(n1,add(Z,Z))))]]) ).
cnf(refute_0_1111,plain,
multiply(Z,multiply(n1,add(Z,Z))) = multiply(n1,add(Z,Z)),
inference(subst,[],[refute_0_463:[bind(X_61,$fot(Z))]]) ).
cnf(refute_0_1112,plain,
( multiply(Z,multiply(n1,add(Z,Z))) != multiply(n1,add(Z,Z))
| multiply(multiply(n1,add(Z,Z)),add(Y,Z)) != add(multiply(Y,multiply(n1,add(Z,Z))),multiply(Z,multiply(n1,add(Z,Z))))
| multiply(multiply(n1,add(Z,Z)),add(Y,Z)) = add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(n1,add(Z,Z)),add(Y,Z)),add(multiply(Y,multiply(n1,add(Z,Z))),multiply(Z,multiply(n1,add(Z,Z))))) ),[1,1],$fot(multiply(n1,add(Z,Z)))]]) ).
cnf(refute_0_1113,plain,
( multiply(multiply(n1,add(Z,Z)),add(Y,Z)) != add(multiply(Y,multiply(n1,add(Z,Z))),multiply(Z,multiply(n1,add(Z,Z))))
| multiply(multiply(n1,add(Z,Z)),add(Y,Z)) = add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z))) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
multiply(multiply(n1,add(Z,Z)),add(Y,Z)) = add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,add(Z,Z)),add(Y,Z)),add(multiply(Y,multiply(n1,add(Z,Z))),multiply(Z,multiply(n1,add(Z,Z))))) )],[refute_0_1110,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( multiply(multiply(n1,add(Z,Z)),add(Y,Z)) != add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z)))
| add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z))) = multiply(multiply(n1,add(Z,Z)),add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(n1,add(Z,Z)),add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z)))))]]) ).
cnf(refute_0_1116,plain,
add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z))) = multiply(multiply(n1,add(Z,Z)),add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,add(Z,Z)),add(Y,Z)),add(multiply(Y,multiply(n1,add(Z,Z))),multiply(n1,add(Z,Z)))) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) = multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)),
inference(subst,[],[refute_0_1116:[bind(Y,$fot(X_165)),bind(Z,$fot(X_165))]]) ).
cnf(refute_0_1118,plain,
( multiply(add(X_165,X_165),add(n1,n1)) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))) != multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165))
| multiply(add(X_165,X_165),add(n1,n1)) = multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_165,X_165),add(n1,n1)),multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165))) ),[0],$fot(add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))))]]) ).
cnf(refute_0_1119,plain,
( multiply(add(X_165,X_165),add(n1,n1)) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| multiply(add(X_165,X_165),add(n1,n1)) = multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165))),multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165))) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))) != add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))
| multiply(add(X_165,X_165),add(n1,n1)) = multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_165,X_165),add(n1,n1)),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) )],[refute_0_1109,refute_0_1119]) ).
cnf(refute_0_1121,plain,
multiply(add(X_165,X_165),add(n1,n1)) = multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)),
inference(resolve,[$cnf( $equal(multiply(add(X_166,multiply(n1,add(X_165,X_165))),add(multiply(n1,add(X_165,X_165)),multiply(n1,add(X_165,X_165)))),add(multiply(X_165,multiply(n1,add(X_165,X_165))),multiply(n1,add(X_165,X_165)))) )],[refute_0_1102,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( multiply(add(X_165,X_165),add(n1,n1)) != multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165))
| multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)) = multiply(add(X_165,X_165),add(n1,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_165,X_165),add(n1,n1)))),bind(Y0,$fot(multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165))))]]) ).
cnf(refute_0_1123,plain,
multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165)) = multiply(add(X_165,X_165),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_165,X_165),add(n1,n1)),multiply(multiply(n1,add(X_165,X_165)),add(X_165,X_165))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),
inference(subst,[],[refute_0_1123:[bind(X_165,$fot(inverse(X_121)))]]) ).
cnf(refute_0_1125,plain,
multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))) = multiply(n1,add(inverse(X_121),inverse(X_121))),
inference(subst,[],[refute_0_478:[bind(X_47,$fot(X_121))]]) ).
cnf(refute_0_1126,plain,
multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))))]]) ).
cnf(refute_0_1127,plain,
( multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121)))
| multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))) != multiply(n1,add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121)))) ),[1,0],$fot(multiply(n1,add(inverse(X_121),inverse(X_121))))]]) ).
cnf(refute_0_1128,plain,
( multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))) != multiply(n1,add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),multiply(n1,add(inverse(X_121),inverse(X_121)))) )],[refute_0_1125,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121)))
| multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))))),bind(Y0,$fot(multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))))),bind(Z0,$fot(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))))]]) ).
cnf(refute_0_1131,plain,
( multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) = multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))) )],[refute_0_1124,refute_0_1131]) ).
cnf(refute_0_1133,plain,
( multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))
| multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != add(inverse(X_121),inverse(X_121))
| multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = add(inverse(X_121),inverse(X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) ),[0],$fot(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)))]]) ).
cnf(refute_0_1134,plain,
( multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))) != add(inverse(X_121),inverse(X_121))
| multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = add(inverse(X_121),inverse(X_121)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = add(inverse(X_121),inverse(X_121)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),multiply(inverse(X_121),add(X,n1))),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) )],[refute_0_1097,refute_0_1134]) ).
cnf(refute_0_1136,plain,
multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)))]]) ).
cnf(refute_0_1137,plain,
( multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) != multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))
| add(n1,n1) != n1
| multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = multiply(add(inverse(X_121),inverse(X_121)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1138,plain,
( add(n1,n1) != n1
| multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = multiply(add(inverse(X_121),inverse(X_121)),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) = multiply(add(inverse(X_121),inverse(X_121)),n1),
inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_1023,refute_0_1138]) ).
cnf(refute_0_1140,plain,
( multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) != multiply(add(inverse(X_121),inverse(X_121)),n1)
| multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) != add(inverse(X_121),inverse(X_121))
| multiply(add(inverse(X_121),inverse(X_121)),n1) = add(inverse(X_121),inverse(X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),add(inverse(X_121),inverse(X_121))) ),[0],$fot(multiply(add(inverse(X_121),inverse(X_121)),n1))]]) ).
cnf(refute_0_1141,plain,
( multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)) != add(inverse(X_121),inverse(X_121))
| multiply(add(inverse(X_121),inverse(X_121)),n1) = add(inverse(X_121),inverse(X_121)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),multiply(add(inverse(X_121),inverse(X_121)),n1)) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
multiply(add(inverse(X_121),inverse(X_121)),n1) = add(inverse(X_121),inverse(X_121)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(n1,n1)),add(inverse(X_121),inverse(X_121))) )],[refute_0_1135,refute_0_1141]) ).
cnf(refute_0_1143,plain,
multiply(add(inverse(X_54),inverse(X_54)),n1) = add(inverse(X_54),inverse(X_54)),
inference(subst,[],[refute_0_1142:[bind(X_121,$fot(X_54))]]) ).
cnf(refute_0_1144,plain,
multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),
introduced(tautology,[refl,[$fot(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))))]]) ).
cnf(refute_0_1145,plain,
( multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(add(inverse(X_54),inverse(X_54)),n1) != add(inverse(X_54),inverse(X_54))
| multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) ),[1,0],$fot(add(inverse(X_54),inverse(X_54)))]]) ).
cnf(refute_0_1146,plain,
( multiply(add(inverse(X_54),inverse(X_54)),n1) != add(inverse(X_54),inverse(X_54))
| multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) )],[refute_0_1144,refute_0_1145]) ).
cnf(refute_0_1147,plain,
multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_54),inverse(X_54)),n1),add(inverse(X_54),inverse(X_54))) )],[refute_0_1143,refute_0_1146]) ).
cnf(refute_0_1148,plain,
( multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) != multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1)))
| multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))) != multiply(inverse(X_54),add(X,n1))
| multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(inverse(X_54),add(X,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))))),bind(Y0,$fot(multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))))),bind(Z0,$fot(multiply(inverse(X_54),add(X,n1))))]]) ).
cnf(refute_0_1149,plain,
( multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))) != multiply(inverse(X_54),add(X,n1))
| multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(inverse(X_54),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1)))) )],[refute_0_1147,refute_0_1148]) ).
cnf(refute_0_1150,plain,
multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) = multiply(inverse(X_54),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_54),inverse(X_54)),multiply(inverse(X_54),add(X,n1))),multiply(inverse(X_54),add(X,n1))) )],[refute_0_1040,refute_0_1149]) ).
cnf(refute_0_1151,plain,
( multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))) != multiply(inverse(X_54),add(X,n1))
| multiply(inverse(X_54),n1) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(inverse(X_54),n1) = multiply(inverse(X_54),add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_54),n1),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) ),[1],$fot(multiply(inverse(X_54),add(X,n1)))]]) ).
cnf(refute_0_1152,plain,
( multiply(inverse(X_54),n1) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(inverse(X_54),n1) = multiply(inverse(X_54),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1))),multiply(inverse(X_54),add(X,n1))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( multiply(inverse(X_54),add(n1,n1)) != multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))
| multiply(inverse(X_54),n1) = multiply(inverse(X_54),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),n1),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) )],[refute_0_1029,refute_0_1152]) ).
cnf(refute_0_1154,plain,
multiply(inverse(X_54),n1) = multiply(inverse(X_54),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),add(n1,n1)),multiply(multiply(add(inverse(X_54),inverse(X_54)),n1),multiply(inverse(X_54),add(X,n1)))) )],[refute_0_276,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( multiply(inverse(X_54),n1) != multiply(inverse(X_54),add(X,n1))
| multiply(inverse(X_54),add(X,n1)) = multiply(inverse(X_54),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_54),n1))),bind(Y0,$fot(multiply(inverse(X_54),add(X,n1))))]]) ).
cnf(refute_0_1156,plain,
multiply(inverse(X_54),add(X,n1)) = multiply(inverse(X_54),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),n1),multiply(inverse(X_54),add(X,n1))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
multiply(inverse(X_107),add(X_22,n1)) = multiply(inverse(X_107),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_22)),bind(X_54,$fot(X_107))]]) ).
cnf(refute_0_1158,plain,
pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),
introduced(tautology,[refl,[$fot(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)))]]) ).
cnf(refute_0_1159,plain,
( multiply(inverse(X_107),add(X_22,n1)) != multiply(inverse(X_107),n1)
| pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) != pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107))
| pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107))) ),[1,1],$fot(multiply(inverse(X_107),n1))]]) ).
cnf(refute_0_1160,plain,
( multiply(inverse(X_107),add(X_22,n1)) != multiply(inverse(X_107),n1)
| pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107))) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),add(X_22,n1)),multiply(inverse(X_107),n1)) )],[refute_0_1157,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) != pixley(n1,multiply(inverse(X_107),n1),inverse(X_107))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) ),[0],$fot(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)))]]) ).
cnf(refute_0_1163,plain,
( pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),pixley(n1,multiply(inverse(X_107),n1),inverse(X_107))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
inverse(multiply(inverse(X_107),add(X_22,n1))) = inverse(multiply(inverse(X_107),add(X_22,n1))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_107),add(X_22,n1))))]]) ).
cnf(refute_0_1165,plain,
( multiply(inverse(X_107),add(X_22,n1)) != multiply(inverse(X_107),n1)
| inverse(multiply(inverse(X_107),add(X_22,n1))) != inverse(multiply(inverse(X_107),add(X_22,n1)))
| inverse(multiply(inverse(X_107),add(X_22,n1))) = inverse(multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_107),add(X_22,n1))),inverse(multiply(inverse(X_107),add(X_22,n1)))) ),[1,0],$fot(multiply(inverse(X_107),n1))]]) ).
cnf(refute_0_1166,plain,
( multiply(inverse(X_107),add(X_22,n1)) != multiply(inverse(X_107),n1)
| inverse(multiply(inverse(X_107),add(X_22,n1))) = inverse(multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_107),add(X_22,n1))),inverse(multiply(inverse(X_107),add(X_22,n1)))) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
inverse(multiply(inverse(X_107),add(X_22,n1))) = inverse(multiply(inverse(X_107),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),add(X_22,n1)),multiply(inverse(X_107),n1)) )],[refute_0_1157,refute_0_1166]) ).
cnf(refute_0_1168,plain,
add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) = add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)),
introduced(tautology,[refl,[$fot(add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)))]]) ).
cnf(refute_0_1169,plain,
( add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| inverse(multiply(inverse(X_107),add(X_22,n1))) != inverse(multiply(inverse(X_107),n1))
| add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) ),[1,0],$fot(inverse(multiply(inverse(X_107),n1)))]]) ).
cnf(refute_0_1170,plain,
( inverse(multiply(inverse(X_107),add(X_22,n1))) != inverse(multiply(inverse(X_107),n1))
| add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_107),add(X_22,n1))),inverse(multiply(inverse(X_107),n1))) )],[refute_0_1167,refute_0_1170]) ).
cnf(refute_0_1172,plain,
( add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)) != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) ),[1],$fot(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)))]]) ).
cnf(refute_0_1173,plain,
( pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1)),add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) )],[refute_0_1171,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)) != add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) )],[refute_0_1163,refute_0_1173]) ).
cnf(refute_0_1175,plain,
pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),add(X_22,n1)),inverse(X_107)),add(inverse(multiply(inverse(X_107),add(X_22,n1))),multiply(inverse(X_107),n1))) )],[refute_0_73,refute_0_1174]) ).
cnf(refute_0_1176,plain,
pixley(n1,inverse(X_107),inverse(X_107)) = n1,
inference(subst,[],[pixley2:[bind(X,$fot(n1)),bind(Y,$fot(inverse(X_107)))]]) ).
cnf(refute_0_1177,plain,
multiply(n1,inverse(X_107)) = inverse(X_107),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_107))]]) ).
cnf(refute_0_1178,plain,
multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) = multiply(X_12,add(n1,inverse(n1))),
inference(subst,[],[refute_0_601:[bind(Z,$fot(multiply(X_12,add(n1,inverse(n1)))))]]) ).
cnf(refute_0_1179,plain,
pixley(n1,n1,X_12) = add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),
inference(subst,[],[refute_0_959:[bind(X_11,$fot(n1))]]) ).
cnf(refute_0_1180,plain,
( pixley(n1,n1,X_12) != add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(n1,n1,X_12))),bind(Y0,$fot(add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))))]]) ).
cnf(refute_0_1181,plain,
add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) != multiply(X_12,add(n1,inverse(n1)))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| multiply(n1,pixley(n1,n1,X_12)) = multiply(X_12,add(n1,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))),multiply(X_12,add(n1,inverse(n1)))) ),[0,1],$fot(pixley(n1,n1,X_12))]]) ).
cnf(refute_0_1183,plain,
( multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(n1,pixley(n1,n1,X_12)) = multiply(X_12,add(n1,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
multiply(n1,pixley(n1,n1,X_12)) = multiply(X_12,add(n1,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1178,refute_0_1183]) ).
cnf(refute_0_1185,plain,
pixley(n1,n1,X_12) = X_12,
inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_1186,plain,
multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,pixley(n1,n1,X_12)),
introduced(tautology,[refl,[$fot(multiply(n1,pixley(n1,n1,X_12)))]]) ).
cnf(refute_0_1187,plain,
( multiply(n1,pixley(n1,n1,X_12)) != multiply(n1,pixley(n1,n1,X_12))
| pixley(n1,n1,X_12) != X_12
| multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(n1,pixley(n1,n1,X_12))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_1188,plain,
( pixley(n1,n1,X_12) != X_12
| multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,X_12) ),
inference(resolve,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(n1,pixley(n1,n1,X_12))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,X_12),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),X_12) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
( multiply(n1,pixley(n1,n1,X_12)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(n1,pixley(n1,n1,X_12)) != multiply(n1,X_12)
| multiply(n1,X_12) = multiply(X_12,add(n1,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(X_12,add(n1,inverse(n1)))) ),[0],$fot(multiply(n1,X_12))]]) ).
cnf(refute_0_1191,plain,
( multiply(n1,pixley(n1,n1,X_12)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(n1,X_12) = multiply(X_12,add(n1,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(n1,X_12)) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,add(n1,inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(n1,inverse(n1))))]]) ).
cnf(refute_0_1193,plain,
( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,add(n1,inverse(n1)))
| add(n1,inverse(n1)) != n1
| multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1194,plain,
( add(n1,inverse(n1)) != n1
| multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_502,refute_0_1194]) ).
cnf(refute_0_1196,plain,
( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,n1)
| multiply(n1,X_12) != multiply(X_12,add(n1,inverse(n1)))
| multiply(n1,X_12) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,X_12),multiply(X_12,add(n1,inverse(n1)))) ),[1],$fot(multiply(X_12,n1))]]) ).
cnf(refute_0_1197,plain,
( multiply(n1,X_12) != multiply(X_12,add(n1,inverse(n1)))
| multiply(n1,X_12) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,n1)) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
( multiply(n1,pixley(n1,n1,X_12)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(n1,X_12) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,X_12),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1191,refute_0_1197]) ).
cnf(refute_0_1199,plain,
multiply(n1,X_12) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1184,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( multiply(n1,X_12) != multiply(X_12,n1)
| multiply(X_12,n1) = multiply(n1,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(n1,X_12))),bind(Y0,$fot(multiply(X_12,n1)))]]) ).
cnf(refute_0_1201,plain,
multiply(X_12,n1) = multiply(n1,X_12),
inference(resolve,[$cnf( $equal(multiply(n1,X_12),multiply(X_12,n1)) )],[refute_0_1199,refute_0_1200]) ).
cnf(refute_0_1202,plain,
multiply(inverse(X_107),n1) = multiply(n1,inverse(X_107)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X_107)))]]) ).
cnf(refute_0_1203,plain,
( multiply(inverse(X_107),n1) != multiply(n1,inverse(X_107))
| multiply(n1,inverse(X_107)) != inverse(X_107)
| multiply(inverse(X_107),n1) = inverse(X_107) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_107),n1))),bind(Y0,$fot(multiply(n1,inverse(X_107)))),bind(Z0,$fot(inverse(X_107)))]]) ).
cnf(refute_0_1204,plain,
( multiply(n1,inverse(X_107)) != inverse(X_107)
| multiply(inverse(X_107),n1) = inverse(X_107) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),n1),multiply(n1,inverse(X_107))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
multiply(inverse(X_107),n1) = inverse(X_107),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_107)),inverse(X_107)) )],[refute_0_1177,refute_0_1204]) ).
cnf(refute_0_1206,plain,
pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),
introduced(tautology,[refl,[$fot(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)))]]) ).
cnf(refute_0_1207,plain,
( multiply(inverse(X_107),n1) != inverse(X_107)
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != pixley(n1,multiply(inverse(X_107),n1),inverse(X_107))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = pixley(n1,inverse(X_107),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),pixley(n1,multiply(inverse(X_107),n1),inverse(X_107))) ),[1,1],$fot(inverse(X_107))]]) ).
cnf(refute_0_1208,plain,
( multiply(inverse(X_107),n1) != inverse(X_107)
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = pixley(n1,inverse(X_107),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),pixley(n1,multiply(inverse(X_107),n1),inverse(X_107))) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = pixley(n1,inverse(X_107),inverse(X_107)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),n1),inverse(X_107)) )],[refute_0_1205,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != pixley(n1,inverse(X_107),inverse(X_107))
| pixley(n1,inverse(X_107),inverse(X_107)) != n1
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)))),bind(Y0,$fot(pixley(n1,inverse(X_107),inverse(X_107)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1211,plain,
( pixley(n1,inverse(X_107),inverse(X_107)) != n1
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = n1 ),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),pixley(n1,inverse(X_107),inverse(X_107))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) = n1,
inference(resolve,[$cnf( $equal(pixley(n1,inverse(X_107),inverse(X_107)),n1) )],[refute_0_1176,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != n1
| n1 = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) ),[0],$fot(n1)]]) ).
cnf(refute_0_1214,plain,
( pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| n1 = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),n1) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)))]]) ).
cnf(refute_0_1216,plain,
( multiply(inverse(X_107),n1) != inverse(X_107)
| add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) != add(inverse(inverse(X_107)),multiply(inverse(X_107),n1))
| add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)),add(inverse(inverse(X_107)),multiply(inverse(X_107),n1))) ),[1,1],$fot(inverse(X_107))]]) ).
cnf(refute_0_1217,plain,
( multiply(inverse(X_107),n1) != inverse(X_107)
| add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)),add(inverse(inverse(X_107)),multiply(inverse(X_107),n1))) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),inverse(X_107)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),n1),inverse(X_107)) )],[refute_0_1205,refute_0_1217]) ).
cnf(refute_0_1219,plain,
inverse(multiply(inverse(X_107),n1)) = inverse(multiply(inverse(X_107),n1)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_107),n1)))]]) ).
cnf(refute_0_1220,plain,
( multiply(inverse(X_107),n1) != inverse(X_107)
| inverse(multiply(inverse(X_107),n1)) != inverse(multiply(inverse(X_107),n1))
| inverse(multiply(inverse(X_107),n1)) = inverse(inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_107),n1)),inverse(multiply(inverse(X_107),n1))) ),[1,0],$fot(inverse(X_107))]]) ).
cnf(refute_0_1221,plain,
( multiply(inverse(X_107),n1) != inverse(X_107)
| inverse(multiply(inverse(X_107),n1)) = inverse(inverse(X_107)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_107),n1)),inverse(multiply(inverse(X_107),n1))) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
inverse(multiply(inverse(X_107),n1)) = inverse(inverse(X_107)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),n1),inverse(X_107)) )],[refute_0_1205,refute_0_1221]) ).
cnf(refute_0_1223,plain,
add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),
introduced(tautology,[refl,[$fot(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)))]]) ).
cnf(refute_0_1224,plain,
( add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| inverse(multiply(inverse(X_107),n1)) != inverse(inverse(X_107))
| add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) ),[1,0],$fot(inverse(inverse(X_107)))]]) ).
cnf(refute_0_1225,plain,
( inverse(multiply(inverse(X_107),n1)) != inverse(inverse(X_107))
| add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) )],[refute_0_1223,refute_0_1224]) ).
cnf(refute_0_1226,plain,
add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_107),n1)),inverse(inverse(X_107))) )],[refute_0_1222,refute_0_1225]) ).
cnf(refute_0_1227,plain,
( add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) != add(inverse(inverse(X_107)),multiply(inverse(X_107),n1))
| add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) != add(inverse(inverse(X_107)),inverse(X_107))
| add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),inverse(X_107)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)))),bind(Y0,$fot(add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)))),bind(Z0,$fot(add(inverse(inverse(X_107)),inverse(X_107))))]]) ).
cnf(refute_0_1228,plain,
( add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)) != add(inverse(inverse(X_107)),inverse(X_107))
| add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),add(inverse(inverse(X_107)),multiply(inverse(X_107),n1))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) = add(inverse(inverse(X_107)),inverse(X_107)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),multiply(inverse(X_107),n1)),add(inverse(inverse(X_107)),inverse(X_107))) )],[refute_0_1218,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)) != add(inverse(inverse(X_107)),inverse(X_107))
| n1 != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| n1 = add(inverse(inverse(X_107)),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) ),[1],$fot(add(inverse(inverse(X_107)),inverse(X_107)))]]) ).
cnf(refute_0_1231,plain,
( n1 != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| n1 = add(inverse(inverse(X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1)),add(inverse(inverse(X_107)),inverse(X_107))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
( pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)) != add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))
| n1 = add(inverse(inverse(X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(n1,add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) )],[refute_0_1214,refute_0_1231]) ).
cnf(refute_0_1233,plain,
n1 = add(inverse(inverse(X_107)),inverse(X_107)),
inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_107),n1),inverse(X_107)),add(inverse(multiply(inverse(X_107),n1)),multiply(inverse(X_107),n1))) )],[refute_0_1175,refute_0_1232]) ).
cnf(refute_0_1234,plain,
n1 = add(inverse(inverse(Y)),inverse(Y)),
inference(subst,[],[refute_0_1233:[bind(X_107,$fot(Y))]]) ).
cnf(refute_0_1235,plain,
( n1 != add(inverse(inverse(Y)),inverse(Y))
| add(inverse(inverse(Y)),inverse(Y)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(inverse(Y)),inverse(Y))))]]) ).
cnf(refute_0_1236,plain,
add(inverse(inverse(Y)),inverse(Y)) = n1,
inference(resolve,[$cnf( $equal(n1,add(inverse(inverse(Y)),inverse(Y))) )],[refute_0_1234,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( add(inverse(inverse(Y)),inverse(Y)) != n1
| pixley(inverse(inverse(Y)),Y,Z) != add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,add(inverse(inverse(Y)),inverse(Y))))
| pixley(inverse(inverse(Y)),Y,Z) = add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Z),add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,add(inverse(inverse(Y)),inverse(Y))))) ),[1,1,1],$fot(n1)]]) ).
cnf(refute_0_1238,plain,
( pixley(inverse(inverse(Y)),Y,Z) != add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,add(inverse(inverse(Y)),inverse(Y))))
| pixley(inverse(inverse(Y)),Y,Z) = add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(Y)),inverse(Y)),n1) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
pixley(inverse(inverse(Y)),Y,Z) = add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Z),add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,add(inverse(inverse(Y)),inverse(Y))))) )],[refute_0_15,refute_0_1238]) ).
cnf(refute_0_1240,plain,
pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X)))))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(multiply(multiply(X,n1),add(X_65,X)))),bind(Z,$fot(multiply(X,n1)))]]) ).
cnf(refute_0_1241,plain,
multiply(multiply(X_52,n1),n1) = add(multiply(X_52,n1),multiply(inverse(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))),multiply(X_52,n1))),
inference(subst,[],[refute_0_26:[bind(X_37,$fot(multiply(X_51,multiply(X_52,n1)))),bind(X_38,$fot(multiply(X_52,n1)))]]) ).
cnf(refute_0_1242,plain,
( multiply(multiply(X_52,n1),n1) != add(multiply(X_52,n1),multiply(inverse(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))),multiply(X_52,n1)))
| add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)) != multiply(multiply(X_52,n1),add(X_51,X_52))
| multiply(multiply(X_52,n1),n1) = add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_52,n1),n1),add(multiply(X_52,n1),multiply(inverse(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))),multiply(X_52,n1)))) ),[1,1,0,0],$fot(multiply(multiply(X_52,n1),add(X_51,X_52)))]]) ).
cnf(refute_0_1243,plain,
( multiply(multiply(X_52,n1),n1) != add(multiply(X_52,n1),multiply(inverse(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))),multiply(X_52,n1)))
| multiply(multiply(X_52,n1),n1) = add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1)),multiply(multiply(X_52,n1),add(X_51,X_52))) )],[refute_0_311,refute_0_1242]) ).
cnf(refute_0_1244,plain,
multiply(multiply(X_52,n1),n1) = add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,n1),n1),add(multiply(X_52,n1),multiply(inverse(add(multiply(X_51,multiply(X_52,n1)),multiply(X_52,n1))),multiply(X_52,n1)))) )],[refute_0_1241,refute_0_1243]) ).
cnf(refute_0_1245,plain,
( multiply(multiply(X_22,n1),add(X_22,X_23)) != add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1)))
| add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1))) = multiply(multiply(X_22,n1),add(X_22,X_23)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(X_22,n1),add(X_22,X_23)))),bind(Y0,$fot(add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1)))))]]) ).
cnf(refute_0_1246,plain,
add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1))) = multiply(multiply(X_22,n1),add(X_22,X_23)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,n1),add(X_22,X_23)),add(multiply(X_22,n1),multiply(X_23,multiply(X_22,n1)))) )],[refute_0_149,refute_0_1245]) ).
cnf(refute_0_1247,plain,
add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))) = multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52))))),
inference(subst,[],[refute_0_1246:[bind(X_22,$fot(X_52)),bind(X_23,$fot(inverse(multiply(multiply(X_52,n1),add(X_51,X_52)))))]]) ).
cnf(refute_0_1248,plain,
( multiply(multiply(X_52,n1),n1) != add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1)))
| add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))) != multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52)))))
| multiply(multiply(X_52,n1),n1) = multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_52,n1),n1),multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52)))))) ),[0],$fot(add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))))]]) ).
cnf(refute_0_1249,plain,
( multiply(multiply(X_52,n1),n1) != add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1)))
| multiply(multiply(X_52,n1),n1) = multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52))))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1))),multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52)))))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
multiply(multiply(X_52,n1),n1) = multiply(multiply(X_52,n1),add(X_52,inverse(multiply(multiply(X_52,n1),add(X_51,X_52))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,n1),n1),add(multiply(X_52,n1),multiply(inverse(multiply(multiply(X_52,n1),add(X_51,X_52))),multiply(X_52,n1)))) )],[refute_0_1244,refute_0_1249]) ).
cnf(refute_0_1251,plain,
multiply(multiply(X,n1),n1) = multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))),
inference(subst,[],[refute_0_1250:[bind(X_51,$fot(X_65)),bind(X_52,$fot(X))]]) ).
cnf(refute_0_1252,plain,
( multiply(multiply(X,n1),n1) != multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X)))))
| multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))) = multiply(multiply(X,n1),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(X,n1),n1))),bind(Y0,$fot(multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X)))))))]]) ).
cnf(refute_0_1253,plain,
multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))) = multiply(multiply(X,n1),n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),n1),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X)))))) )],[refute_0_1251,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))) != multiply(multiply(X,n1),n1)
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))))) ),[1,1],$fot(multiply(multiply(X,n1),n1))]]) ).
cnf(refute_0_1255,plain,
( pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))),multiply(multiply(X,n1),n1)) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_65,X))))))) )],[refute_0_1240,refute_0_1255]) ).
cnf(refute_0_1257,plain,
multiply(multiply(X,n1),n1) = multiply(n1,multiply(X,n1)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(multiply(X,n1)))]]) ).
cnf(refute_0_1258,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)))]]) ).
cnf(refute_0_1259,plain,
( multiply(multiply(X,n1),n1) != multiply(n1,multiply(X,n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))) ),[1,1],$fot(multiply(n1,multiply(X,n1)))]]) ).
cnf(refute_0_1260,plain,
( multiply(multiply(X,n1),n1) != multiply(n1,multiply(X,n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),n1),multiply(n1,multiply(X,n1))) )],[refute_0_1257,refute_0_1260]) ).
cnf(refute_0_1262,plain,
( add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))) ),[1],$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))))]]) ).
cnf(refute_0_1263,plain,
( pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(multiply(X,n1),n1))) )],[refute_0_1256,refute_0_1263]) ).
cnf(refute_0_1265,plain,
pixley(X,multiply(X,n1),multiply(X,n1)) = X,
inference(subst,[],[pixley2:[bind(Y,$fot(multiply(X,n1)))]]) ).
cnf(refute_0_1266,plain,
multiply(X,add(Y,X)) = add(multiply(Y,X),multiply(X,X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(X))]]) ).
cnf(refute_0_1267,plain,
multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(n1,add(inverse(n1),X_179))) = multiply(n1,add(inverse(n1),X_179)),
inference(subst,[],[refute_0_236:[bind(X_21,$fot(add(inverse(n1),X_179))),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_1268,plain,
multiply(n1,add(inverse(n1),X_179)) = X_179,
inference(subst,[],[refute_0_601:[bind(Z,$fot(X_179))]]) ).
cnf(refute_0_1269,plain,
( multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(n1,add(inverse(n1),X_179))) != multiply(n1,add(inverse(n1),X_179))
| multiply(n1,add(inverse(n1),X_179)) != X_179
| multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(n1,add(inverse(n1),X_179)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(n1,add(inverse(n1),X_179))),multiply(n1,add(inverse(n1),X_179))) ),[0,1],$fot(X_179)]]) ).
cnf(refute_0_1270,plain,
( multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(n1,add(inverse(n1),X_179))) != multiply(n1,add(inverse(n1),X_179))
| multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(n1,add(inverse(n1),X_179)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_179)),X_179) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(n1,add(inverse(n1),X_179)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(n1,add(inverse(n1),X_179))),multiply(n1,add(inverse(n1),X_179))) )],[refute_0_1267,refute_0_1270]) ).
cnf(refute_0_1272,plain,
multiply(add(X_22,add(X,n1)),add(X_67,n1)) = add(add(X_22,add(X,n1)),multiply(n1,add(X_22,add(X,n1)))),
inference(subst,[],[refute_0_741:[bind(X,$fot(X_67)),bind(X_38,$fot(add(X_22,add(X,n1))))]]) ).
cnf(refute_0_1273,plain,
multiply(n1,add(X_22,add(X,n1))) = add(multiply(X_22,n1),n1),
inference(subst,[],[refute_0_85:[bind(X_21,$fot(n1))]]) ).
cnf(refute_0_1274,plain,
( multiply(add(X_22,add(X,n1)),add(X_67,n1)) != add(add(X_22,add(X,n1)),multiply(n1,add(X_22,add(X,n1))))
| multiply(n1,add(X_22,add(X,n1))) != add(multiply(X_22,n1),n1)
| multiply(add(X_22,add(X,n1)),add(X_67,n1)) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_22,add(X,n1)),add(X_67,n1)),add(add(X_22,add(X,n1)),multiply(n1,add(X_22,add(X,n1))))) ),[1,1],$fot(add(multiply(X_22,n1),n1))]]) ).
cnf(refute_0_1275,plain,
( multiply(add(X_22,add(X,n1)),add(X_67,n1)) != add(add(X_22,add(X,n1)),multiply(n1,add(X_22,add(X,n1))))
| multiply(add(X_22,add(X,n1)),add(X_67,n1)) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_22,add(X,n1))),add(multiply(X_22,n1),n1)) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
multiply(add(X_22,add(X,n1)),add(X_67,n1)) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_22,add(X,n1)),add(X_67,n1)),add(add(X_22,add(X,n1)),multiply(n1,add(X_22,add(X,n1))))) )],[refute_0_1272,refute_0_1275]) ).
cnf(refute_0_1277,plain,
multiply(add(X,add(X_76,n1)),add(X_76,n1)) = add(X_76,n1),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(X_76,n1)))]]) ).
cnf(refute_0_1278,plain,
multiply(add(X,add(X_76,n1)),add(X_76,n1)) = multiply(add(X,add(X_76,n1)),add(X_78,n1)),
inference(subst,[],[refute_0_830:[bind(X,$fot(X_76)),bind(X_21,$fot(add(X,add(X_76,n1)))),bind(X_73,$fot(X_78))]]) ).
cnf(refute_0_1279,plain,
( multiply(add(X,add(X_76,n1)),add(X_76,n1)) != multiply(add(X,add(X_76,n1)),add(X_78,n1))
| multiply(add(X,add(X_76,n1)),add(X_76,n1)) != add(X_76,n1)
| multiply(add(X,add(X_76,n1)),add(X_78,n1)) = add(X_76,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,add(X_76,n1)),add(X_76,n1)),add(X_76,n1)) ),[0],$fot(multiply(add(X,add(X_76,n1)),add(X_78,n1)))]]) ).
cnf(refute_0_1280,plain,
( multiply(add(X,add(X_76,n1)),add(X_76,n1)) != add(X_76,n1)
| multiply(add(X,add(X_76,n1)),add(X_78,n1)) = add(X_76,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_76,n1)),add(X_76,n1)),multiply(add(X,add(X_76,n1)),add(X_78,n1))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
multiply(add(X,add(X_76,n1)),add(X_78,n1)) = add(X_76,n1),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_76,n1)),add(X_76,n1)),add(X_76,n1)) )],[refute_0_1277,refute_0_1280]) ).
cnf(refute_0_1282,plain,
multiply(add(X_22,add(X,n1)),add(X_67,n1)) = add(X,n1),
inference(subst,[],[refute_0_1281:[bind(X,$fot(X_22)),bind(X_76,$fot(X)),bind(X_78,$fot(X_67))]]) ).
cnf(refute_0_1283,plain,
( multiply(add(X_22,add(X,n1)),add(X_67,n1)) != add(X,n1)
| multiply(add(X_22,add(X,n1)),add(X_67,n1)) != add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))
| add(X,n1) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_22,add(X,n1)),add(X_67,n1)),add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))) ),[0],$fot(add(X,n1))]]) ).
cnf(refute_0_1284,plain,
( multiply(add(X_22,add(X,n1)),add(X_67,n1)) != add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))
| add(X,n1) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_22,add(X,n1)),add(X_67,n1)),add(X,n1)) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
add(X,n1) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_22,add(X,n1)),add(X_67,n1)),add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))) )],[refute_0_1276,refute_0_1284]) ).
cnf(refute_0_1286,plain,
add(multiply(X_22,n1),n1) = add(inverse(n1),n1),
inference(subst,[],[refute_0_720:[bind(X,$fot(multiply(X_22,n1)))]]) ).
cnf(refute_0_1287,plain,
add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) = add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)),
introduced(tautology,[refl,[$fot(add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)))]]) ).
cnf(refute_0_1288,plain,
( add(multiply(X_22,n1),n1) != add(inverse(n1),n1)
| add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) != add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))
| add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)),add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))) ),[1,1],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_1289,plain,
( add(multiply(X_22,n1),n1) != add(inverse(n1),n1)
| add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)),add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(add(multiply(X_22,n1),n1),add(inverse(n1),n1)) )],[refute_0_1286,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( add(X,n1) != add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))
| add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)) != add(add(X_22,add(X,n1)),add(inverse(n1),n1))
| add(X,n1) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,n1),add(add(X_22,add(X,n1)),add(inverse(n1),n1))) ),[0],$fot(add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)))]]) ).
cnf(refute_0_1292,plain,
( add(X,n1) != add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))
| add(X,n1) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1)),add(add(X_22,add(X,n1)),add(inverse(n1),n1))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
add(X,n1) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(add(X,n1),add(add(X_22,add(X,n1)),add(multiply(X_22,n1),n1))) )],[refute_0_1285,refute_0_1292]) ).
cnf(refute_0_1294,plain,
add(add(X_22,add(X,n1)),n1) = add(inverse(n1),n1),
inference(subst,[],[refute_0_720:[bind(X,$fot(add(X_22,add(X,n1))))]]) ).
cnf(refute_0_1295,plain,
( add(add(X_22,add(X,n1)),n1) != add(inverse(n1),n1)
| add(inverse(n1),n1) != n1
| add(add(X_22,add(X,n1)),n1) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_22,add(X,n1)),n1))),bind(Y0,$fot(add(inverse(n1),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1296,plain,
( add(inverse(n1),n1) != n1
| add(add(X_22,add(X,n1)),n1) = n1 ),
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),n1),add(inverse(n1),n1)) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
add(add(X_22,add(X,n1)),n1) = n1,
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_947,refute_0_1296]) ).
cnf(refute_0_1298,plain,
add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = add(add(X_22,add(X,n1)),add(inverse(n1),n1)),
introduced(tautology,[refl,[$fot(add(add(X_22,add(X,n1)),add(inverse(n1),n1)))]]) ).
cnf(refute_0_1299,plain,
( add(add(X_22,add(X,n1)),add(inverse(n1),n1)) != add(add(X_22,add(X,n1)),add(inverse(n1),n1))
| add(inverse(n1),n1) != n1
| add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = add(add(X_22,add(X,n1)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_22,add(X,n1)),add(inverse(n1),n1)),add(add(X_22,add(X,n1)),add(inverse(n1),n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1300,plain,
( add(inverse(n1),n1) != n1
| add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = add(add(X_22,add(X,n1)),n1) ),
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),add(inverse(n1),n1)),add(add(X_22,add(X,n1)),add(inverse(n1),n1))) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = add(add(X_22,add(X,n1)),n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_947,refute_0_1300]) ).
cnf(refute_0_1302,plain,
( add(add(X_22,add(X,n1)),add(inverse(n1),n1)) != add(add(X_22,add(X,n1)),n1)
| add(add(X_22,add(X,n1)),n1) != n1
| add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_22,add(X,n1)),add(inverse(n1),n1)))),bind(Y0,$fot(add(add(X_22,add(X,n1)),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1303,plain,
( add(add(X_22,add(X,n1)),n1) != n1
| add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = n1 ),
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),add(inverse(n1),n1)),add(add(X_22,add(X,n1)),n1)) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
add(add(X_22,add(X,n1)),add(inverse(n1),n1)) = n1,
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),n1),n1) )],[refute_0_1297,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( add(X,n1) != add(add(X_22,add(X,n1)),add(inverse(n1),n1))
| add(add(X_22,add(X,n1)),add(inverse(n1),n1)) != n1
| add(X,n1) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,n1),n1) ),[0],$fot(add(add(X_22,add(X,n1)),add(inverse(n1),n1)))]]) ).
cnf(refute_0_1306,plain,
( add(X,n1) != add(add(X_22,add(X,n1)),add(inverse(n1),n1))
| add(X,n1) = n1 ),
inference(resolve,[$cnf( $equal(add(add(X_22,add(X,n1)),add(inverse(n1),n1)),n1) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
add(X,n1) = n1,
inference(resolve,[$cnf( $equal(add(X,n1),add(add(X_22,add(X,n1)),add(inverse(n1),n1))) )],[refute_0_1293,refute_0_1306]) ).
cnf(refute_0_1308,plain,
add(X_22,n1) = n1,
inference(subst,[],[refute_0_1307:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_1309,plain,
multiply(add(inverse(n1),X_179),add(X_22,n1)) = multiply(add(inverse(n1),X_179),add(X_22,n1)),
introduced(tautology,[refl,[$fot(multiply(add(inverse(n1),X_179),add(X_22,n1)))]]) ).
cnf(refute_0_1310,plain,
( multiply(add(inverse(n1),X_179),add(X_22,n1)) != multiply(add(inverse(n1),X_179),add(X_22,n1))
| add(X_22,n1) != n1
| multiply(add(inverse(n1),X_179),add(X_22,n1)) = multiply(add(inverse(n1),X_179),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(add(inverse(n1),X_179),add(X_22,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1311,plain,
( add(X_22,n1) != n1
| multiply(add(inverse(n1),X_179),add(X_22,n1)) = multiply(add(inverse(n1),X_179),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(add(inverse(n1),X_179),add(X_22,n1))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
multiply(add(inverse(n1),X_179),add(X_22,n1)) = multiply(add(inverse(n1),X_179),n1),
inference(resolve,[$cnf( $equal(add(X_22,n1),n1) )],[refute_0_1308,refute_0_1311]) ).
cnf(refute_0_1313,plain,
multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179),
introduced(tautology,[refl,[$fot(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179))]]) ).
cnf(refute_0_1314,plain,
( multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) != multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179)
| multiply(add(inverse(n1),X_179),add(X_22,n1)) != multiply(add(inverse(n1),X_179),n1)
| multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(multiply(add(inverse(n1),X_179),n1),X_179) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179),multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179)) ),[1,0],$fot(multiply(add(inverse(n1),X_179),n1))]]) ).
cnf(refute_0_1315,plain,
( multiply(add(inverse(n1),X_179),add(X_22,n1)) != multiply(add(inverse(n1),X_179),n1)
| multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(multiply(add(inverse(n1),X_179),n1),X_179) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179),multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179)) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) = multiply(multiply(add(inverse(n1),X_179),n1),X_179),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_179),add(X_22,n1)),multiply(add(inverse(n1),X_179),n1)) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
( multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) != multiply(multiply(add(inverse(n1),X_179),n1),X_179)
| multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) != multiply(n1,add(inverse(n1),X_179))
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = multiply(n1,add(inverse(n1),X_179)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179),multiply(n1,add(inverse(n1),X_179))) ),[0],$fot(multiply(multiply(add(inverse(n1),X_179),n1),X_179))]]) ).
cnf(refute_0_1318,plain,
( multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) != multiply(n1,add(inverse(n1),X_179))
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = multiply(n1,add(inverse(n1),X_179)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179),multiply(multiply(add(inverse(n1),X_179),n1),X_179)) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
( multiply(multiply(add(inverse(n1),X_179),n1),X_179) != multiply(n1,add(inverse(n1),X_179))
| multiply(n1,add(inverse(n1),X_179)) != X_179
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = X_179 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),X_179) ),[0],$fot(multiply(n1,add(inverse(n1),X_179)))]]) ).
cnf(refute_0_1320,plain,
( multiply(multiply(add(inverse(n1),X_179),n1),X_179) != multiply(n1,add(inverse(n1),X_179))
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = X_179 ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_179)),X_179) )],[refute_0_1268,refute_0_1319]) ).
cnf(refute_0_1321,plain,
( multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179) != multiply(n1,add(inverse(n1),X_179))
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = X_179 ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),multiply(n1,add(inverse(n1),X_179))) )],[refute_0_1318,refute_0_1320]) ).
cnf(refute_0_1322,plain,
multiply(multiply(add(inverse(n1),X_179),n1),X_179) = X_179,
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),add(X_22,n1)),X_179),multiply(n1,add(inverse(n1),X_179))) )],[refute_0_1271,refute_0_1321]) ).
cnf(refute_0_1323,plain,
multiply(add(inverse(n1),X_179),n1) = multiply(n1,add(inverse(n1),X_179)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(add(inverse(n1),X_179)))]]) ).
cnf(refute_0_1324,plain,
( multiply(add(inverse(n1),X_179),n1) != multiply(n1,add(inverse(n1),X_179))
| multiply(n1,add(inverse(n1),X_179)) != X_179
| multiply(add(inverse(n1),X_179),n1) = X_179 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(inverse(n1),X_179),n1))),bind(Y0,$fot(multiply(n1,add(inverse(n1),X_179)))),bind(Z0,$fot(X_179))]]) ).
cnf(refute_0_1325,plain,
( multiply(n1,add(inverse(n1),X_179)) != X_179
| multiply(add(inverse(n1),X_179),n1) = X_179 ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_179),n1),multiply(n1,add(inverse(n1),X_179))) )],[refute_0_1323,refute_0_1324]) ).
cnf(refute_0_1326,plain,
multiply(add(inverse(n1),X_179),n1) = X_179,
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_179)),X_179) )],[refute_0_1268,refute_0_1325]) ).
cnf(refute_0_1327,plain,
multiply(multiply(add(inverse(n1),X_179),n1),X_179) = multiply(multiply(add(inverse(n1),X_179),n1),X_179),
introduced(tautology,[refl,[$fot(multiply(multiply(add(inverse(n1),X_179),n1),X_179))]]) ).
cnf(refute_0_1328,plain,
( multiply(multiply(add(inverse(n1),X_179),n1),X_179) != multiply(multiply(add(inverse(n1),X_179),n1),X_179)
| multiply(add(inverse(n1),X_179),n1) != X_179
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = multiply(X_179,X_179) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),multiply(multiply(add(inverse(n1),X_179),n1),X_179)) ),[1,0],$fot(X_179)]]) ).
cnf(refute_0_1329,plain,
( multiply(add(inverse(n1),X_179),n1) != X_179
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) = multiply(X_179,X_179) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),multiply(multiply(add(inverse(n1),X_179),n1),X_179)) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
multiply(multiply(add(inverse(n1),X_179),n1),X_179) = multiply(X_179,X_179),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_179),n1),X_179) )],[refute_0_1326,refute_0_1329]) ).
cnf(refute_0_1331,plain,
( multiply(multiply(add(inverse(n1),X_179),n1),X_179) != X_179
| multiply(multiply(add(inverse(n1),X_179),n1),X_179) != multiply(X_179,X_179)
| multiply(X_179,X_179) = X_179 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),X_179) ),[0],$fot(multiply(X_179,X_179))]]) ).
cnf(refute_0_1332,plain,
( multiply(multiply(add(inverse(n1),X_179),n1),X_179) != X_179
| multiply(X_179,X_179) = X_179 ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),multiply(X_179,X_179)) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
multiply(X_179,X_179) = X_179,
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_179),n1),X_179),X_179) )],[refute_0_1322,refute_0_1332]) ).
cnf(refute_0_1334,plain,
multiply(X,X) = X,
inference(subst,[],[refute_0_1333:[bind(X_179,$fot(X))]]) ).
cnf(refute_0_1335,plain,
( multiply(X,X) != X
| multiply(X,add(Y,X)) != add(multiply(Y,X),multiply(X,X))
| multiply(X,add(Y,X)) = add(multiply(Y,X),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),multiply(X,X))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_1336,plain,
( multiply(X,add(Y,X)) != add(multiply(Y,X),multiply(X,X))
| multiply(X,add(Y,X)) = add(multiply(Y,X),X) ),
inference(resolve,[$cnf( $equal(multiply(X,X),X) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
multiply(X,add(Y,X)) = add(multiply(Y,X),X),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),multiply(X,X))) )],[refute_0_1266,refute_0_1336]) ).
cnf(refute_0_1338,plain,
( multiply(X,add(Y,X)) != add(multiply(Y,X),X)
| add(multiply(Y,X),X) = multiply(X,add(Y,X)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,X)))),bind(Y0,$fot(add(multiply(Y,X),X)))]]) ).
cnf(refute_0_1339,plain,
add(multiply(Y,X),X) = multiply(X,add(Y,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),X)) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) = multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))),
inference(subst,[],[refute_0_1339:[bind(X,$fot(multiply(X_23,n1))),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_1341,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))
| add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) != multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1)))
| multiply(multiply(X_23,n1),add(X_22,X_23)) = multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1)))) ),[0],$fot(add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)))]]) ).
cnf(refute_0_1342,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))
| multiply(multiply(X_23,n1),add(X_22,X_23)) = multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)),multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1)))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
multiply(multiply(X_23,n1),add(X_22,X_23)) = multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))) )],[refute_0_159,refute_0_1342]) ).
cnf(refute_0_1344,plain,
multiply(X,add(Z,Z)) = add(multiply(Z,X),multiply(Z,X)),
inference(subst,[],[multiply_add_property:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_1345,plain,
multiply(X,add(Y,n1)) = add(multiply(Y,X),multiply(n1,X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(n1))]]) ).
cnf(refute_0_1346,plain,
multiply(n1,add(inverse(n1),multiply(X_210,add(n1,n1)))) = multiply(X_210,add(n1,n1)),
inference(subst,[],[refute_0_601:[bind(Z,$fot(multiply(X_210,add(n1,n1))))]]) ).
cnf(refute_0_1347,plain,
multiply(add(n1,X_190),add(inverse(X_190),Z)) = add(multiply(inverse(X_190),add(n1,X_190)),multiply(Z,add(n1,X_190))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(n1,X_190))),bind(Y,$fot(inverse(X_190)))]]) ).
cnf(refute_0_1348,plain,
pixley(inverse(Y),Y,Y) = inverse(Y),
inference(subst,[],[pixley2:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_1349,plain,
pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(add(multiply(X_22,inverse(X_126)),inverse(X_126)),inverse(X_126)))),
inference(subst,[],[refute_0_282:[bind(X,$fot(multiply(X_22,inverse(X_126)))),bind(X_11,$fot(X_126)),bind(X_12,$fot(X_127))]]) ).
cnf(refute_0_1350,plain,
multiply(inverse(X_126),add(X_22,n1)) = add(multiply(X_22,inverse(X_126)),inverse(X_126)),
inference(subst,[],[refute_0_60:[bind(X,$fot(X_126))]]) ).
cnf(refute_0_1351,plain,
( multiply(inverse(X_126),add(X_22,n1)) != add(multiply(X_22,inverse(X_126)),inverse(X_126))
| add(multiply(X_22,inverse(X_126)),inverse(X_126)) = multiply(inverse(X_126),add(X_22,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_126),add(X_22,n1)))),bind(Y0,$fot(add(multiply(X_22,inverse(X_126)),inverse(X_126))))]]) ).
cnf(refute_0_1352,plain,
add(multiply(X_22,inverse(X_126)),inverse(X_126)) = multiply(inverse(X_126),add(X_22,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),add(X_22,n1)),add(multiply(X_22,inverse(X_126)),inverse(X_126))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
( add(multiply(X_22,inverse(X_126)),inverse(X_126)) != multiply(inverse(X_126),add(X_22,n1))
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(add(multiply(X_22,inverse(X_126)),inverse(X_126)),inverse(X_126))))
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(add(multiply(X_22,inverse(X_126)),inverse(X_126)),inverse(X_126))))) ),[1,1,1,0],$fot(multiply(inverse(X_126),add(X_22,n1)))]]) ).
cnf(refute_0_1354,plain,
( pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(add(multiply(X_22,inverse(X_126)),inverse(X_126)),inverse(X_126))))
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_126)),inverse(X_126)),multiply(inverse(X_126),add(X_22,n1))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(add(multiply(X_22,inverse(X_126)),inverse(X_126)),inverse(X_126))))) )],[refute_0_1349,refute_0_1354]) ).
cnf(refute_0_1356,plain,
pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),
introduced(tautology,[refl,[$fot(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127))]]) ).
cnf(refute_0_1357,plain,
( add(multiply(X_22,inverse(X_126)),inverse(X_126)) != multiply(inverse(X_126),add(X_22,n1))
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) != pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127)
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127)) ),[1,0],$fot(multiply(inverse(X_126),add(X_22,n1)))]]) ).
cnf(refute_0_1358,plain,
( add(multiply(X_22,inverse(X_126)),inverse(X_126)) != multiply(inverse(X_126),add(X_22,n1))
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) ),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127)) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) = pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_126)),inverse(X_126)),multiply(inverse(X_126),add(X_22,n1))) )],[refute_0_1352,refute_0_1358]) ).
cnf(refute_0_1360,plain,
( pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) != pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127)
| pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) ),[0],$fot(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127))]]) ).
cnf(refute_0_1361,plain,
( pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127)) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_22,inverse(X_126)),inverse(X_126)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) )],[refute_0_1355,refute_0_1361]) ).
cnf(refute_0_1363,plain,
multiply(inverse(X_126),add(X_22,n1)) = multiply(inverse(X_126),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_22)),bind(X_54,$fot(X_126))]]) ).
cnf(refute_0_1364,plain,
pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127))]]) ).
cnf(refute_0_1365,plain,
( multiply(inverse(X_126),add(X_22,n1)) != multiply(inverse(X_126),n1)
| pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) != pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127)
| pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = pixley(multiply(inverse(X_126),n1),X_126,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127)) ),[1,0],$fot(multiply(inverse(X_126),n1))]]) ).
cnf(refute_0_1366,plain,
( multiply(inverse(X_126),add(X_22,n1)) != multiply(inverse(X_126),n1)
| pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = pixley(multiply(inverse(X_126),n1),X_126,X_127) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127)) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) = pixley(multiply(inverse(X_126),n1),X_126,X_127),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),add(X_22,n1)),multiply(inverse(X_126),n1)) )],[refute_0_1363,refute_0_1366]) ).
cnf(refute_0_1368,plain,
( pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) != pixley(multiply(inverse(X_126),n1),X_126,X_127)
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) ),[0],$fot(pixley(multiply(inverse(X_126),n1),X_126,X_127))]]) ).
cnf(refute_0_1369,plain,
( pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),pixley(multiply(inverse(X_126),n1),X_126,X_127)) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) = add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))]]) ).
cnf(refute_0_1371,plain,
( multiply(inverse(X_126),add(X_22,n1)) != multiply(inverse(X_126),n1)
| add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) != add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))
| add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) = add(multiply(inverse(X_126),n1),inverse(X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)),add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) ),[1,0],$fot(multiply(inverse(X_126),n1))]]) ).
cnf(refute_0_1372,plain,
( multiply(inverse(X_126),add(X_22,n1)) != multiply(inverse(X_126),n1)
| add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) = add(multiply(inverse(X_126),n1),inverse(X_126)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)),add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) = add(multiply(inverse(X_126),n1),inverse(X_126)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),add(X_22,n1)),multiply(inverse(X_126),n1)) )],[refute_0_1363,refute_0_1372]) ).
cnf(refute_0_1374,plain,
multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) = multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))),
introduced(tautology,[refl,[$fot(multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))]]) ).
cnf(refute_0_1375,plain,
( multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) != multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))
| add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) != add(multiply(inverse(X_126),n1),inverse(X_126))
| multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) = multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) ),[1,1],$fot(add(multiply(inverse(X_126),n1),inverse(X_126)))]]) ).
cnf(refute_0_1376,plain,
( add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)) != add(multiply(inverse(X_126),n1),inverse(X_126))
| multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) = multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) ),
inference(resolve,[$cnf( $equal(multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) = multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)),add(multiply(inverse(X_126),n1),inverse(X_126))) )],[refute_0_1373,refute_0_1376]) ).
cnf(refute_0_1378,plain,
add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))),
introduced(tautology,[refl,[$fot(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))))]]) ).
cnf(refute_0_1379,plain,
( multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) != multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) ),[1,1],$fot(multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))]]) ).
cnf(refute_0_1380,plain,
( multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))) != multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),
inference(resolve,[$cnf( $equal(multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) )],[refute_0_1377,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| pixley(multiply(inverse(X_126),n1),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) ),[1],$fot(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))))]]) ).
cnf(refute_0_1383,plain,
( pixley(multiply(inverse(X_126),n1),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126)))),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) )],[refute_0_1381,refute_0_1382]) ).
cnf(refute_0_1384,plain,
( pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) )],[refute_0_1369,refute_0_1383]) ).
cnf(refute_0_1385,plain,
pixley(multiply(inverse(X_126),n1),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),add(X_22,n1)),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),add(X_22,n1)),inverse(X_126))))) )],[refute_0_1362,refute_0_1384]) ).
cnf(refute_0_1386,plain,
multiply(n1,inverse(X_126)) = inverse(X_126),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_126))]]) ).
cnf(refute_0_1387,plain,
multiply(inverse(X_126),n1) = multiply(n1,inverse(X_126)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X_126)))]]) ).
cnf(refute_0_1388,plain,
( multiply(inverse(X_126),n1) != multiply(n1,inverse(X_126))
| multiply(n1,inverse(X_126)) != inverse(X_126)
| multiply(inverse(X_126),n1) = inverse(X_126) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_126),n1))),bind(Y0,$fot(multiply(n1,inverse(X_126)))),bind(Z0,$fot(inverse(X_126)))]]) ).
cnf(refute_0_1389,plain,
( multiply(n1,inverse(X_126)) != inverse(X_126)
| multiply(inverse(X_126),n1) = inverse(X_126) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),n1),multiply(n1,inverse(X_126))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
multiply(inverse(X_126),n1) = inverse(X_126),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_126)),inverse(X_126)) )],[refute_0_1386,refute_0_1389]) ).
cnf(refute_0_1391,plain,
pixley(multiply(inverse(X_126),n1),X_126,X_127) = pixley(multiply(inverse(X_126),n1),X_126,X_127),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(X_126),n1),X_126,X_127))]]) ).
cnf(refute_0_1392,plain,
( multiply(inverse(X_126),n1) != inverse(X_126)
| pixley(multiply(inverse(X_126),n1),X_126,X_127) != pixley(multiply(inverse(X_126),n1),X_126,X_127)
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = pixley(inverse(X_126),X_126,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),pixley(multiply(inverse(X_126),n1),X_126,X_127)) ),[1,0],$fot(inverse(X_126))]]) ).
cnf(refute_0_1393,plain,
( multiply(inverse(X_126),n1) != inverse(X_126)
| pixley(multiply(inverse(X_126),n1),X_126,X_127) = pixley(inverse(X_126),X_126,X_127) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),pixley(multiply(inverse(X_126),n1),X_126,X_127)) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
pixley(multiply(inverse(X_126),n1),X_126,X_127) = pixley(inverse(X_126),X_126,X_127),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),n1),inverse(X_126)) )],[refute_0_1390,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( pixley(multiply(inverse(X_126),n1),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| pixley(multiply(inverse(X_126),n1),X_126,X_127) != pixley(inverse(X_126),X_126,X_127)
| pixley(inverse(X_126),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) ),[0],$fot(pixley(inverse(X_126),X_126,X_127))]]) ).
cnf(refute_0_1396,plain,
( pixley(multiply(inverse(X_126),n1),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| pixley(inverse(X_126),X_126,X_127) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),pixley(inverse(X_126),X_126,X_127)) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
add(inverse(X_126),multiply(X_127,inverse(X_126))) = multiply(inverse(X_126),add(n1,X_127)),
inference(subst,[],[refute_0_508:[bind(X,$fot(X_126)),bind(X_23,$fot(X_127))]]) ).
cnf(refute_0_1398,plain,
( multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| add(inverse(X_121),inverse(X_121)) != multiply(inverse(X_121),add(X,n1))
| multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))) ),[1,0],$fot(multiply(inverse(X_121),add(X,n1)))]]) ).
cnf(refute_0_1399,plain,
( multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_121),inverse(X_121)),multiply(inverse(X_121),add(X,n1))) )],[refute_0_1078,refute_0_1398]) ).
cnf(refute_0_1400,plain,
multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1075,refute_0_1399]) ).
cnf(refute_0_1401,plain,
( multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))
| multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) ),[0],$fot(multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))))]]) ).
cnf(refute_0_1402,plain,
( multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1075,refute_0_1401]) ).
cnf(refute_0_1403,plain,
multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1400,refute_0_1402]) ).
cnf(refute_0_1404,plain,
( multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) != add(inverse(X_121),inverse(X_121))
| add(inverse(X_121),inverse(X_121)) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) ),[0],$fot(add(inverse(X_121),inverse(X_121)))]]) ).
cnf(refute_0_1405,plain,
( multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| add(inverse(X_121),inverse(X_121)) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))),add(inverse(X_121),inverse(X_121))) )],[refute_0_1094,refute_0_1404]) ).
cnf(refute_0_1406,plain,
add(inverse(X_121),inverse(X_121)) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_121),inverse(X_121)),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1403,refute_0_1405]) ).
cnf(refute_0_1407,plain,
multiply(inverse(X_47),add(n1,n1)) = multiply(inverse(X_47),add(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_47),add(n1,n1)))]]) ).
cnf(refute_0_1408,plain,
( multiply(inverse(X_47),add(n1,n1)) != multiply(inverse(X_47),add(n1,n1))
| add(n1,n1) != n1
| multiply(inverse(X_47),add(n1,n1)) = multiply(inverse(X_47),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),add(n1,n1)),multiply(inverse(X_47),add(n1,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1409,plain,
( add(n1,n1) != n1
| multiply(inverse(X_47),add(n1,n1)) = multiply(inverse(X_47),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(n1,n1)),multiply(inverse(X_47),add(n1,n1))) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
multiply(inverse(X_47),add(n1,n1)) = multiply(inverse(X_47),n1),
inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_1023,refute_0_1409]) ).
cnf(refute_0_1411,plain,
( multiply(inverse(X_47),add(n1,n1)) != multiply(inverse(X_47),n1)
| multiply(n1,add(inverse(X_47),inverse(X_47))) != multiply(inverse(X_47),add(n1,n1))
| multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(inverse(X_47),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(X_47),inverse(X_47))),multiply(inverse(X_47),add(n1,n1))) ),[1],$fot(multiply(inverse(X_47),n1))]]) ).
cnf(refute_0_1412,plain,
( multiply(n1,add(inverse(X_47),inverse(X_47))) != multiply(inverse(X_47),add(n1,n1))
| multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(inverse(X_47),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(n1,n1)),multiply(inverse(X_47),n1)) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
multiply(n1,add(inverse(X_47),inverse(X_47))) = multiply(inverse(X_47),n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_47),inverse(X_47))),multiply(inverse(X_47),add(n1,n1))) )],[refute_0_272,refute_0_1412]) ).
cnf(refute_0_1414,plain,
multiply(n1,add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1),
inference(subst,[],[refute_0_1413:[bind(X_47,$fot(X_121))]]) ).
cnf(refute_0_1415,plain,
multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) = multiply(n1,add(inverse(X_121),inverse(X_121))),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(inverse(X_121)))]]) ).
cnf(refute_0_1416,plain,
( multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) != multiply(n1,add(inverse(X_121),inverse(X_121)))
| multiply(n1,add(inverse(X_121),inverse(X_121))) != multiply(inverse(X_121),n1)
| multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))))),bind(Y0,$fot(multiply(n1,add(inverse(X_121),inverse(X_121))))),bind(Z0,$fot(multiply(inverse(X_121),n1)))]]) ).
cnf(refute_0_1417,plain,
( multiply(n1,add(inverse(X_121),inverse(X_121))) != multiply(inverse(X_121),n1)
| multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))),multiply(n1,add(inverse(X_121),inverse(X_121)))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_121),inverse(X_121))),multiply(inverse(X_121),n1)) )],[refute_0_1414,refute_0_1417]) ).
cnf(refute_0_1419,plain,
multiply(inverse(X_121),add(X,n1)) = multiply(inverse(X_121),n1),
inference(subst,[],[refute_0_1156:[bind(X_54,$fot(X_121))]]) ).
cnf(refute_0_1420,plain,
multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))))]]) ).
cnf(refute_0_1421,plain,
( multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| multiply(inverse(X_121),add(X,n1)) != multiply(inverse(X_121),n1)
| multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) ),[1,0],$fot(multiply(inverse(X_121),n1))]]) ).
cnf(refute_0_1422,plain,
( multiply(inverse(X_121),add(X,n1)) != multiply(inverse(X_121),n1)
| multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_121),add(X,n1)),multiply(inverse(X_121),n1)) )],[refute_0_1419,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) != multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121)))
| multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) != multiply(inverse(X_121),n1)
| multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))))),bind(Y0,$fot(multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))))),bind(Z0,$fot(multiply(inverse(X_121),n1)))]]) ).
cnf(refute_0_1425,plain,
( multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))) != multiply(inverse(X_121),n1)
| multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) = multiply(inverse(X_121),n1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),n1),add(inverse(X_121),inverse(X_121))),multiply(inverse(X_121),n1)) )],[refute_0_1418,refute_0_1425]) ).
cnf(refute_0_1427,plain,
( multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))) != multiply(inverse(X_121),n1)
| add(inverse(X_121),inverse(X_121)) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| add(inverse(X_121),inverse(X_121)) = multiply(inverse(X_121),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_121),inverse(X_121)),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) ),[1],$fot(multiply(inverse(X_121),n1))]]) ).
cnf(refute_0_1428,plain,
( add(inverse(X_121),inverse(X_121)) != multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))
| add(inverse(X_121),inverse(X_121)) = multiply(inverse(X_121),n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121))),multiply(inverse(X_121),n1)) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
add(inverse(X_121),inverse(X_121)) = multiply(inverse(X_121),n1),
inference(resolve,[$cnf( $equal(add(inverse(X_121),inverse(X_121)),multiply(multiply(inverse(X_121),add(X,n1)),add(inverse(X_121),inverse(X_121)))) )],[refute_0_1406,refute_0_1428]) ).
cnf(refute_0_1430,plain,
multiply(n1,inverse(X_121)) = inverse(X_121),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_121))]]) ).
cnf(refute_0_1431,plain,
multiply(inverse(X_121),n1) = multiply(n1,inverse(X_121)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X_121)))]]) ).
cnf(refute_0_1432,plain,
( multiply(inverse(X_121),n1) != multiply(n1,inverse(X_121))
| multiply(n1,inverse(X_121)) != inverse(X_121)
| multiply(inverse(X_121),n1) = inverse(X_121) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_121),n1))),bind(Y0,$fot(multiply(n1,inverse(X_121)))),bind(Z0,$fot(inverse(X_121)))]]) ).
cnf(refute_0_1433,plain,
( multiply(n1,inverse(X_121)) != inverse(X_121)
| multiply(inverse(X_121),n1) = inverse(X_121) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_121),n1),multiply(n1,inverse(X_121))) )],[refute_0_1431,refute_0_1432]) ).
cnf(refute_0_1434,plain,
multiply(inverse(X_121),n1) = inverse(X_121),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_121)),inverse(X_121)) )],[refute_0_1430,refute_0_1433]) ).
cnf(refute_0_1435,plain,
( multiply(inverse(X_121),n1) != inverse(X_121)
| add(inverse(X_121),inverse(X_121)) != multiply(inverse(X_121),n1)
| add(inverse(X_121),inverse(X_121)) = inverse(X_121) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_121),inverse(X_121)),multiply(inverse(X_121),n1)) ),[1],$fot(inverse(X_121))]]) ).
cnf(refute_0_1436,plain,
( add(inverse(X_121),inverse(X_121)) != multiply(inverse(X_121),n1)
| add(inverse(X_121),inverse(X_121)) = inverse(X_121) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_121),n1),inverse(X_121)) )],[refute_0_1434,refute_0_1435]) ).
cnf(refute_0_1437,plain,
add(inverse(X_121),inverse(X_121)) = inverse(X_121),
inference(resolve,[$cnf( $equal(add(inverse(X_121),inverse(X_121)),multiply(inverse(X_121),n1)) )],[refute_0_1429,refute_0_1436]) ).
cnf(refute_0_1438,plain,
add(inverse(X_126),inverse(X_126)) = inverse(X_126),
inference(subst,[],[refute_0_1437:[bind(X_121,$fot(X_126))]]) ).
cnf(refute_0_1439,plain,
add(multiply(inverse(X_126),n1),inverse(X_126)) = add(multiply(inverse(X_126),n1),inverse(X_126)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_126),n1),inverse(X_126)))]]) ).
cnf(refute_0_1440,plain,
( multiply(inverse(X_126),n1) != inverse(X_126)
| add(multiply(inverse(X_126),n1),inverse(X_126)) != add(multiply(inverse(X_126),n1),inverse(X_126))
| add(multiply(inverse(X_126),n1),inverse(X_126)) = add(inverse(X_126),inverse(X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_126),n1),inverse(X_126)),add(multiply(inverse(X_126),n1),inverse(X_126))) ),[1,0],$fot(inverse(X_126))]]) ).
cnf(refute_0_1441,plain,
( multiply(inverse(X_126),n1) != inverse(X_126)
| add(multiply(inverse(X_126),n1),inverse(X_126)) = add(inverse(X_126),inverse(X_126)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_126),n1),inverse(X_126)),add(multiply(inverse(X_126),n1),inverse(X_126))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
add(multiply(inverse(X_126),n1),inverse(X_126)) = add(inverse(X_126),inverse(X_126)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),n1),inverse(X_126)) )],[refute_0_1390,refute_0_1441]) ).
cnf(refute_0_1443,plain,
( add(multiply(inverse(X_126),n1),inverse(X_126)) != add(inverse(X_126),inverse(X_126))
| add(inverse(X_126),inverse(X_126)) != inverse(X_126)
| add(multiply(inverse(X_126),n1),inverse(X_126)) = inverse(X_126) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(X_126),n1),inverse(X_126)))),bind(Y0,$fot(add(inverse(X_126),inverse(X_126)))),bind(Z0,$fot(inverse(X_126)))]]) ).
cnf(refute_0_1444,plain,
( add(inverse(X_126),inverse(X_126)) != inverse(X_126)
| add(multiply(inverse(X_126),n1),inverse(X_126)) = inverse(X_126) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_126),n1),inverse(X_126)),add(inverse(X_126),inverse(X_126))) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
add(multiply(inverse(X_126),n1),inverse(X_126)) = inverse(X_126),
inference(resolve,[$cnf( $equal(add(inverse(X_126),inverse(X_126)),inverse(X_126)) )],[refute_0_1438,refute_0_1444]) ).
cnf(refute_0_1446,plain,
multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) = multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))),
introduced(tautology,[refl,[$fot(multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))]]) ).
cnf(refute_0_1447,plain,
( multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) != multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))
| add(multiply(inverse(X_126),n1),inverse(X_126)) != inverse(X_126)
| multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) = multiply(X_127,inverse(X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) ),[1,1],$fot(inverse(X_126))]]) ).
cnf(refute_0_1448,plain,
( add(multiply(inverse(X_126),n1),inverse(X_126)) != inverse(X_126)
| multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) = multiply(X_127,inverse(X_126)) ),
inference(resolve,[$cnf( $equal(multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) )],[refute_0_1446,refute_0_1447]) ).
cnf(refute_0_1449,plain,
multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) = multiply(X_127,inverse(X_126)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_126),n1),inverse(X_126)),inverse(X_126)) )],[refute_0_1445,refute_0_1448]) ).
cnf(refute_0_1450,plain,
add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),
introduced(tautology,[refl,[$fot(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))))]]) ).
cnf(refute_0_1451,plain,
( multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) != multiply(X_127,inverse(X_126))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,inverse(X_126))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) ),[1,1],$fot(multiply(X_127,inverse(X_126)))]]) ).
cnf(refute_0_1452,plain,
( multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))) != multiply(X_127,inverse(X_126))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,inverse(X_126))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = add(inverse(X_126),multiply(X_127,inverse(X_126))),
inference(resolve,[$cnf( $equal(multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))),multiply(X_127,inverse(X_126))) )],[refute_0_1449,refute_0_1452]) ).
cnf(refute_0_1454,plain,
( add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) != add(inverse(X_126),multiply(X_127,inverse(X_126)))
| add(inverse(X_126),multiply(X_127,inverse(X_126))) != multiply(inverse(X_126),add(n1,X_127))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = multiply(inverse(X_126),add(n1,X_127)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))))),bind(Y0,$fot(add(inverse(X_126),multiply(X_127,inverse(X_126))))),bind(Z0,$fot(multiply(inverse(X_126),add(n1,X_127))))]]) ).
cnf(refute_0_1455,plain,
( add(inverse(X_126),multiply(X_127,inverse(X_126))) != multiply(inverse(X_126),add(n1,X_127))
| add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = multiply(inverse(X_126),add(n1,X_127)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),add(inverse(X_126),multiply(X_127,inverse(X_126)))) )],[refute_0_1453,refute_0_1454]) ).
cnf(refute_0_1456,plain,
add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) = multiply(inverse(X_126),add(n1,X_127)),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,inverse(X_126))),multiply(inverse(X_126),add(n1,X_127))) )],[refute_0_1397,refute_0_1455]) ).
cnf(refute_0_1457,plain,
( add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))) != multiply(inverse(X_126),add(n1,X_127))
| pixley(inverse(X_126),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| pixley(inverse(X_126),X_126,X_127) = multiply(inverse(X_126),add(n1,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_126),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) ),[1],$fot(multiply(inverse(X_126),add(n1,X_127)))]]) ).
cnf(refute_0_1458,plain,
( pixley(inverse(X_126),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| pixley(inverse(X_126),X_126,X_127) = multiply(inverse(X_126),add(n1,X_127)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126)))),multiply(inverse(X_126),add(n1,X_127))) )],[refute_0_1456,refute_0_1457]) ).
cnf(refute_0_1459,plain,
( pixley(multiply(inverse(X_126),n1),X_126,X_127) != add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))
| pixley(inverse(X_126),X_126,X_127) = multiply(inverse(X_126),add(n1,X_127)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_126),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) )],[refute_0_1396,refute_0_1458]) ).
cnf(refute_0_1460,plain,
pixley(inverse(X_126),X_126,X_127) = multiply(inverse(X_126),add(n1,X_127)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_126),n1),X_126,X_127),add(inverse(X_126),multiply(X_127,add(multiply(inverse(X_126),n1),inverse(X_126))))) )],[refute_0_1385,refute_0_1459]) ).
cnf(refute_0_1461,plain,
pixley(inverse(Y),Y,Y) = multiply(inverse(Y),add(n1,Y)),
inference(subst,[],[refute_0_1460:[bind(X_126,$fot(Y)),bind(X_127,$fot(Y))]]) ).
cnf(refute_0_1462,plain,
( pixley(inverse(Y),Y,Y) != multiply(inverse(Y),add(n1,Y))
| pixley(inverse(Y),Y,Y) != inverse(Y)
| multiply(inverse(Y),add(n1,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),Y,Y),inverse(Y)) ),[0],$fot(multiply(inverse(Y),add(n1,Y)))]]) ).
cnf(refute_0_1463,plain,
( pixley(inverse(Y),Y,Y) != inverse(Y)
| multiply(inverse(Y),add(n1,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,Y),multiply(inverse(Y),add(n1,Y))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
multiply(inverse(Y),add(n1,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,Y),inverse(Y)) )],[refute_0_1348,refute_0_1463]) ).
cnf(refute_0_1465,plain,
multiply(inverse(X_190),add(n1,X_190)) = inverse(X_190),
inference(subst,[],[refute_0_1464:[bind(Y,$fot(X_190))]]) ).
cnf(refute_0_1466,plain,
( multiply(add(n1,X_190),add(inverse(X_190),Z)) != add(multiply(inverse(X_190),add(n1,X_190)),multiply(Z,add(n1,X_190)))
| multiply(inverse(X_190),add(n1,X_190)) != inverse(X_190)
| multiply(add(n1,X_190),add(inverse(X_190),Z)) = add(inverse(X_190),multiply(Z,add(n1,X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_190),add(inverse(X_190),Z)),add(multiply(inverse(X_190),add(n1,X_190)),multiply(Z,add(n1,X_190)))) ),[1,0],$fot(inverse(X_190))]]) ).
cnf(refute_0_1467,plain,
( multiply(add(n1,X_190),add(inverse(X_190),Z)) != add(multiply(inverse(X_190),add(n1,X_190)),multiply(Z,add(n1,X_190)))
| multiply(add(n1,X_190),add(inverse(X_190),Z)) = add(inverse(X_190),multiply(Z,add(n1,X_190))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),add(n1,X_190)),inverse(X_190)) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
multiply(add(n1,X_190),add(inverse(X_190),Z)) = add(inverse(X_190),multiply(Z,add(n1,X_190))),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(inverse(X_190),Z)),add(multiply(inverse(X_190),add(n1,X_190)),multiply(Z,add(n1,X_190)))) )],[refute_0_1347,refute_0_1467]) ).
cnf(refute_0_1469,plain,
multiply(add(n1,n1),add(inverse(n1),X_210)) = add(inverse(n1),multiply(X_210,add(n1,n1))),
inference(subst,[],[refute_0_1468:[bind(Z,$fot(X_210)),bind(X_190,$fot(n1))]]) ).
cnf(refute_0_1470,plain,
( multiply(add(n1,n1),add(inverse(n1),X_210)) != add(inverse(n1),multiply(X_210,add(n1,n1)))
| add(inverse(n1),multiply(X_210,add(n1,n1))) = multiply(add(n1,n1),add(inverse(n1),X_210)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(n1,n1),add(inverse(n1),X_210)))),bind(Y0,$fot(add(inverse(n1),multiply(X_210,add(n1,n1)))))]]) ).
cnf(refute_0_1471,plain,
add(inverse(n1),multiply(X_210,add(n1,n1))) = multiply(add(n1,n1),add(inverse(n1),X_210)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(inverse(n1),X_210)),add(inverse(n1),multiply(X_210,add(n1,n1)))) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
( multiply(n1,add(inverse(n1),multiply(X_210,add(n1,n1)))) != multiply(X_210,add(n1,n1))
| add(inverse(n1),multiply(X_210,add(n1,n1))) != multiply(add(n1,n1),add(inverse(n1),X_210))
| multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(X_210,add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_210,add(n1,n1)))),multiply(X_210,add(n1,n1))) ),[0,1],$fot(multiply(add(n1,n1),add(inverse(n1),X_210)))]]) ).
cnf(refute_0_1473,plain,
( multiply(n1,add(inverse(n1),multiply(X_210,add(n1,n1)))) != multiply(X_210,add(n1,n1))
| multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(X_210,add(n1,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_210,add(n1,n1))),multiply(add(n1,n1),add(inverse(n1),X_210))) )],[refute_0_1471,refute_0_1472]) ).
cnf(refute_0_1474,plain,
multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(X_210,add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_210,add(n1,n1)))),multiply(X_210,add(n1,n1))) )],[refute_0_1346,refute_0_1473]) ).
cnf(refute_0_1475,plain,
multiply(n1,add(inverse(n1),X_210)) = X_210,
inference(subst,[],[refute_0_601:[bind(Z,$fot(X_210))]]) ).
cnf(refute_0_1476,plain,
multiply(add(n1,n1),add(inverse(n1),X_210)) = multiply(add(n1,n1),add(inverse(n1),X_210)),
introduced(tautology,[refl,[$fot(multiply(add(n1,n1),add(inverse(n1),X_210)))]]) ).
cnf(refute_0_1477,plain,
( multiply(add(n1,n1),add(inverse(n1),X_210)) != multiply(add(n1,n1),add(inverse(n1),X_210))
| add(n1,n1) != n1
| multiply(add(n1,n1),add(inverse(n1),X_210)) = multiply(n1,add(inverse(n1),X_210)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),add(inverse(n1),X_210)),multiply(add(n1,n1),add(inverse(n1),X_210))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_1478,plain,
( add(n1,n1) != n1
| multiply(add(n1,n1),add(inverse(n1),X_210)) = multiply(n1,add(inverse(n1),X_210)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(inverse(n1),X_210)),multiply(add(n1,n1),add(inverse(n1),X_210))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
multiply(add(n1,n1),add(inverse(n1),X_210)) = multiply(n1,add(inverse(n1),X_210)),
inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_1023,refute_0_1478]) ).
cnf(refute_0_1480,plain,
( multiply(add(n1,n1),add(inverse(n1),X_210)) != multiply(n1,add(inverse(n1),X_210))
| multiply(n1,add(inverse(n1),X_210)) != X_210
| multiply(add(n1,n1),add(inverse(n1),X_210)) = X_210 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,n1),add(inverse(n1),X_210)))),bind(Y0,$fot(multiply(n1,add(inverse(n1),X_210)))),bind(Z0,$fot(X_210))]]) ).
cnf(refute_0_1481,plain,
( multiply(n1,add(inverse(n1),X_210)) != X_210
| multiply(add(n1,n1),add(inverse(n1),X_210)) = X_210 ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(inverse(n1),X_210)),multiply(n1,add(inverse(n1),X_210))) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
multiply(add(n1,n1),add(inverse(n1),X_210)) = X_210,
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_210)),X_210) )],[refute_0_1475,refute_0_1481]) ).
cnf(refute_0_1483,plain,
multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))),
introduced(tautology,[refl,[$fot(multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))))]]) ).
cnf(refute_0_1484,plain,
( multiply(add(n1,n1),add(inverse(n1),X_210)) != X_210
| multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) != multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210)))
| multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(n1,X_210) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))),multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210)))) ),[1,1],$fot(X_210)]]) ).
cnf(refute_0_1485,plain,
( multiply(add(n1,n1),add(inverse(n1),X_210)) != X_210
| multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(n1,X_210) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))),multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210)))) )],[refute_0_1483,refute_0_1484]) ).
cnf(refute_0_1486,plain,
multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) = multiply(n1,X_210),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(inverse(n1),X_210)),X_210) )],[refute_0_1482,refute_0_1485]) ).
cnf(refute_0_1487,plain,
( multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) != multiply(X_210,add(n1,n1))
| multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) != multiply(n1,X_210)
| multiply(n1,X_210) = multiply(X_210,add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))),multiply(X_210,add(n1,n1))) ),[0],$fot(multiply(n1,X_210))]]) ).
cnf(refute_0_1488,plain,
( multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) != multiply(X_210,add(n1,n1))
| multiply(n1,X_210) = multiply(X_210,add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))),multiply(n1,X_210)) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
multiply(X_210,add(n1,n1)) = multiply(X_210,add(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(X_210,add(n1,n1)))]]) ).
cnf(refute_0_1490,plain,
( multiply(X_210,add(n1,n1)) != multiply(X_210,add(n1,n1))
| add(n1,n1) != n1
| multiply(X_210,add(n1,n1)) = multiply(X_210,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_210,add(n1,n1)),multiply(X_210,add(n1,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1491,plain,
( add(n1,n1) != n1
| multiply(X_210,add(n1,n1)) = multiply(X_210,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_210,add(n1,n1)),multiply(X_210,add(n1,n1))) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
multiply(X_210,add(n1,n1)) = multiply(X_210,n1),
inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_1023,refute_0_1491]) ).
cnf(refute_0_1493,plain,
( multiply(X_210,add(n1,n1)) != multiply(X_210,n1)
| multiply(n1,X_210) != multiply(X_210,add(n1,n1))
| multiply(n1,X_210) = multiply(X_210,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,X_210),multiply(X_210,add(n1,n1))) ),[1],$fot(multiply(X_210,n1))]]) ).
cnf(refute_0_1494,plain,
( multiply(n1,X_210) != multiply(X_210,add(n1,n1))
| multiply(n1,X_210) = multiply(X_210,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_210,add(n1,n1)),multiply(X_210,n1)) )],[refute_0_1492,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))) != multiply(X_210,add(n1,n1))
| multiply(n1,X_210) = multiply(X_210,n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,X_210),multiply(X_210,add(n1,n1))) )],[refute_0_1488,refute_0_1494]) ).
cnf(refute_0_1496,plain,
multiply(n1,X_210) = multiply(X_210,n1),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(inverse(n1),X_210))),multiply(X_210,add(n1,n1))) )],[refute_0_1474,refute_0_1495]) ).
cnf(refute_0_1497,plain,
multiply(n1,X) = multiply(X,n1),
inference(subst,[],[refute_0_1496:[bind(X_210,$fot(X))]]) ).
cnf(refute_0_1498,plain,
( multiply(X,add(Y,n1)) != add(multiply(Y,X),multiply(n1,X))
| multiply(n1,X) != multiply(X,n1)
| multiply(X,add(Y,n1)) = add(multiply(Y,X),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,n1)),add(multiply(Y,X),multiply(n1,X))) ),[1,1],$fot(multiply(X,n1))]]) ).
cnf(refute_0_1499,plain,
( multiply(X,add(Y,n1)) != add(multiply(Y,X),multiply(n1,X))
| multiply(X,add(Y,n1)) = add(multiply(Y,X),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,X),multiply(X,n1)) )],[refute_0_1497,refute_0_1498]) ).
cnf(refute_0_1500,plain,
multiply(X,add(Y,n1)) = add(multiply(Y,X),multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,n1)),add(multiply(Y,X),multiply(n1,X))) )],[refute_0_1345,refute_0_1499]) ).
cnf(refute_0_1501,plain,
add(Y,n1) = n1,
inference(subst,[],[refute_0_1307:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1502,plain,
multiply(X,add(Y,n1)) = multiply(X,add(Y,n1)),
introduced(tautology,[refl,[$fot(multiply(X,add(Y,n1)))]]) ).
cnf(refute_0_1503,plain,
( multiply(X,add(Y,n1)) != multiply(X,add(Y,n1))
| add(Y,n1) != n1
| multiply(X,add(Y,n1)) = multiply(X,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,n1)),multiply(X,add(Y,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1504,plain,
( add(Y,n1) != n1
| multiply(X,add(Y,n1)) = multiply(X,n1) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,n1)),multiply(X,add(Y,n1))) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
multiply(X,add(Y,n1)) = multiply(X,n1),
inference(resolve,[$cnf( $equal(add(Y,n1),n1) )],[refute_0_1501,refute_0_1504]) ).
cnf(refute_0_1506,plain,
( multiply(X,add(Y,n1)) != multiply(X,n1)
| multiply(X,add(Y,n1)) != add(multiply(Y,X),multiply(X,n1))
| multiply(X,n1) = add(multiply(Y,X),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,n1)),add(multiply(Y,X),multiply(X,n1))) ),[0],$fot(multiply(X,n1))]]) ).
cnf(refute_0_1507,plain,
( multiply(X,add(Y,n1)) != add(multiply(Y,X),multiply(X,n1))
| multiply(X,n1) = add(multiply(Y,X),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,n1)),multiply(X,n1)) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
multiply(X,n1) = add(multiply(Y,X),multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,n1)),add(multiply(Y,X),multiply(X,n1))) )],[refute_0_1500,refute_0_1507]) ).
cnf(refute_0_1509,plain,
multiply(add(inverse(n1),Z),n1) = add(multiply(n1,add(inverse(n1),Z)),multiply(add(inverse(n1),Z),n1)),
inference(subst,[],[refute_0_1508:[bind(X,$fot(add(inverse(n1),Z))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_1510,plain,
( multiply(add(inverse(n1),Z),n1) != add(multiply(n1,add(inverse(n1),Z)),multiply(add(inverse(n1),Z),n1))
| multiply(n1,add(inverse(n1),Z)) != Z
| multiply(add(inverse(n1),Z),n1) = add(Z,multiply(add(inverse(n1),Z),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),add(multiply(n1,add(inverse(n1),Z)),multiply(add(inverse(n1),Z),n1))) ),[1,0],$fot(Z)]]) ).
cnf(refute_0_1511,plain,
( multiply(add(inverse(n1),Z),n1) != add(multiply(n1,add(inverse(n1),Z)),multiply(add(inverse(n1),Z),n1))
| multiply(add(inverse(n1),Z),n1) = add(Z,multiply(add(inverse(n1),Z),n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),Z) )],[refute_0_601,refute_0_1510]) ).
cnf(refute_0_1512,plain,
multiply(add(inverse(n1),Z),n1) = add(Z,multiply(add(inverse(n1),Z),n1)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),add(multiply(n1,add(inverse(n1),Z)),multiply(add(inverse(n1),Z),n1))) )],[refute_0_1509,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( multiply(n1,X_210) != multiply(X_210,n1)
| multiply(X_210,n1) = multiply(n1,X_210) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(n1,X_210))),bind(Y0,$fot(multiply(X_210,n1)))]]) ).
cnf(refute_0_1514,plain,
multiply(X_210,n1) = multiply(n1,X_210),
inference(resolve,[$cnf( $equal(multiply(n1,X_210),multiply(X_210,n1)) )],[refute_0_1496,refute_0_1513]) ).
cnf(refute_0_1515,plain,
multiply(add(inverse(n1),Z),n1) = multiply(n1,add(inverse(n1),Z)),
inference(subst,[],[refute_0_1514:[bind(X_210,$fot(add(inverse(n1),Z)))]]) ).
cnf(refute_0_1516,plain,
( multiply(add(inverse(n1),Z),n1) != multiply(n1,add(inverse(n1),Z))
| multiply(n1,add(inverse(n1),Z)) != Z
| multiply(add(inverse(n1),Z),n1) = Z ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(inverse(n1),Z),n1))),bind(Y0,$fot(multiply(n1,add(inverse(n1),Z)))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_1517,plain,
( multiply(n1,add(inverse(n1),Z)) != Z
| multiply(add(inverse(n1),Z),n1) = Z ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),multiply(n1,add(inverse(n1),Z))) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
multiply(add(inverse(n1),Z),n1) = Z,
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),Z) )],[refute_0_601,refute_0_1517]) ).
cnf(refute_0_1519,plain,
( multiply(add(inverse(n1),Z),n1) != Z
| multiply(add(inverse(n1),Z),n1) != add(Z,multiply(add(inverse(n1),Z),n1))
| Z = add(Z,multiply(add(inverse(n1),Z),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),add(Z,multiply(add(inverse(n1),Z),n1))) ),[0],$fot(Z)]]) ).
cnf(refute_0_1520,plain,
( multiply(add(inverse(n1),Z),n1) != add(Z,multiply(add(inverse(n1),Z),n1))
| Z = add(Z,multiply(add(inverse(n1),Z),n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),Z) )],[refute_0_1518,refute_0_1519]) ).
cnf(refute_0_1521,plain,
add(Z,multiply(add(inverse(n1),Z),n1)) = add(Z,multiply(add(inverse(n1),Z),n1)),
introduced(tautology,[refl,[$fot(add(Z,multiply(add(inverse(n1),Z),n1)))]]) ).
cnf(refute_0_1522,plain,
( multiply(add(inverse(n1),Z),n1) != Z
| add(Z,multiply(add(inverse(n1),Z),n1)) != add(Z,multiply(add(inverse(n1),Z),n1))
| add(Z,multiply(add(inverse(n1),Z),n1)) = add(Z,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(add(inverse(n1),Z),n1)),add(Z,multiply(add(inverse(n1),Z),n1))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_1523,plain,
( multiply(add(inverse(n1),Z),n1) != Z
| add(Z,multiply(add(inverse(n1),Z),n1)) = add(Z,Z) ),
inference(resolve,[$cnf( $equal(add(Z,multiply(add(inverse(n1),Z),n1)),add(Z,multiply(add(inverse(n1),Z),n1))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
add(Z,multiply(add(inverse(n1),Z),n1)) = add(Z,Z),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),Z) )],[refute_0_1518,refute_0_1523]) ).
cnf(refute_0_1525,plain,
( Z != add(Z,multiply(add(inverse(n1),Z),n1))
| add(Z,multiply(add(inverse(n1),Z),n1)) != add(Z,Z)
| Z = add(Z,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(Z,add(Z,Z)) ),[0],$fot(add(Z,multiply(add(inverse(n1),Z),n1)))]]) ).
cnf(refute_0_1526,plain,
( Z != add(Z,multiply(add(inverse(n1),Z),n1))
| Z = add(Z,Z) ),
inference(resolve,[$cnf( $equal(add(Z,multiply(add(inverse(n1),Z),n1)),add(Z,Z)) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
( multiply(add(inverse(n1),Z),n1) != add(Z,multiply(add(inverse(n1),Z),n1))
| Z = add(Z,Z) ),
inference(resolve,[$cnf( $equal(Z,add(Z,multiply(add(inverse(n1),Z),n1))) )],[refute_0_1520,refute_0_1526]) ).
cnf(refute_0_1528,plain,
Z = add(Z,Z),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),add(Z,multiply(add(inverse(n1),Z),n1))) )],[refute_0_1512,refute_0_1527]) ).
cnf(refute_0_1529,plain,
multiply(Z,X) = add(multiply(Z,X),multiply(Z,X)),
inference(subst,[],[refute_0_1528:[bind(Z,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_1530,plain,
( multiply(Z,X) != add(multiply(Z,X),multiply(Z,X))
| add(multiply(Z,X),multiply(Z,X)) = multiply(Z,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Z,X))),bind(Y0,$fot(add(multiply(Z,X),multiply(Z,X))))]]) ).
cnf(refute_0_1531,plain,
add(multiply(Z,X),multiply(Z,X)) = multiply(Z,X),
inference(resolve,[$cnf( $equal(multiply(Z,X),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
( multiply(X,add(Z,Z)) != add(multiply(Z,X),multiply(Z,X))
| add(multiply(Z,X),multiply(Z,X)) != multiply(Z,X)
| multiply(X,add(Z,Z)) = multiply(Z,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Z,Z)),multiply(Z,X)) ),[0],$fot(add(multiply(Z,X),multiply(Z,X)))]]) ).
cnf(refute_0_1533,plain,
( multiply(X,add(Z,Z)) != add(multiply(Z,X),multiply(Z,X))
| multiply(X,add(Z,Z)) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(add(multiply(Z,X),multiply(Z,X)),multiply(Z,X)) )],[refute_0_1531,refute_0_1532]) ).
cnf(refute_0_1534,plain,
multiply(X,add(Z,Z)) = multiply(Z,X),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_1344,refute_0_1533]) ).
cnf(refute_0_1535,plain,
( Z != add(Z,Z)
| add(Z,Z) = Z ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Z)),bind(Y0,$fot(add(Z,Z)))]]) ).
cnf(refute_0_1536,plain,
add(Z,Z) = Z,
inference(resolve,[$cnf( $equal(Z,add(Z,Z)) )],[refute_0_1528,refute_0_1535]) ).
cnf(refute_0_1537,plain,
multiply(X,add(Z,Z)) = multiply(X,add(Z,Z)),
introduced(tautology,[refl,[$fot(multiply(X,add(Z,Z)))]]) ).
cnf(refute_0_1538,plain,
( multiply(X,add(Z,Z)) != multiply(X,add(Z,Z))
| add(Z,Z) != Z
| multiply(X,add(Z,Z)) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(X,add(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_1539,plain,
( add(Z,Z) != Z
| multiply(X,add(Z,Z)) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(X,add(Z,Z))) )],[refute_0_1537,refute_0_1538]) ).
cnf(refute_0_1540,plain,
multiply(X,add(Z,Z)) = multiply(X,Z),
inference(resolve,[$cnf( $equal(add(Z,Z),Z) )],[refute_0_1536,refute_0_1539]) ).
cnf(refute_0_1541,plain,
( multiply(X,add(Z,Z)) != multiply(X,Z)
| multiply(X,add(Z,Z)) != multiply(Z,X)
| multiply(X,Z) = multiply(Z,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(Z,X)) ),[0],$fot(multiply(X,Z))]]) ).
cnf(refute_0_1542,plain,
( multiply(X,add(Z,Z)) != multiply(Z,X)
| multiply(X,Z) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(X,Z)) )],[refute_0_1540,refute_0_1541]) ).
cnf(refute_0_1543,plain,
multiply(X,Z) = multiply(Z,X),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(Z,X)) )],[refute_0_1534,refute_0_1542]) ).
cnf(refute_0_1544,plain,
( multiply(X,Z) != multiply(Z,X)
| multiply(Z,X) = multiply(X,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Z))),bind(Y0,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_1545,plain,
multiply(Z,X) = multiply(X,Z),
inference(resolve,[$cnf( $equal(multiply(X,Z),multiply(Z,X)) )],[refute_0_1543,refute_0_1544]) ).
cnf(refute_0_1546,plain,
multiply(add(X,Y),Y) = multiply(Y,add(X,Y)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(Y)),bind(Z,$fot(add(X,Y)))]]) ).
cnf(refute_0_1547,plain,
( multiply(add(X,Y),Y) != Y
| multiply(add(X,Y),Y) != multiply(Y,add(X,Y))
| multiply(Y,add(X,Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),Y),Y) ),[0],$fot(multiply(Y,add(X,Y)))]]) ).
cnf(refute_0_1548,plain,
( multiply(add(X,Y),Y) != Y
| multiply(Y,add(X,Y)) = Y ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Y),multiply(Y,add(X,Y))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
multiply(Y,add(X,Y)) = Y,
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Y),Y) )],[multiply_add,refute_0_1548]) ).
cnf(refute_0_1550,plain,
multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))) = multiply(X_23,n1),
inference(subst,[],[refute_0_1549:[bind(X,$fot(X_22)),bind(Y,$fot(multiply(X_23,n1)))]]) ).
cnf(refute_0_1551,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1)))
| multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))) != multiply(X_23,n1)
| multiply(multiply(X_23,n1),add(X_22,X_23)) = multiply(X_23,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),multiply(X_23,n1)) ),[0],$fot(multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))))]]) ).
cnf(refute_0_1552,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1)))
| multiply(multiply(X_23,n1),add(X_22,X_23)) = multiply(X_23,n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1))),multiply(X_23,n1)) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
multiply(multiply(X_23,n1),add(X_22,X_23)) = multiply(X_23,n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),multiply(multiply(X_23,n1),add(X_22,multiply(X_23,n1)))) )],[refute_0_1343,refute_0_1552]) ).
cnf(refute_0_1554,plain,
multiply(multiply(X,n1),add(X_65,X)) = multiply(X,n1),
inference(subst,[],[refute_0_1553:[bind(X_22,$fot(X_65)),bind(X_23,$fot(X))]]) ).
cnf(refute_0_1555,plain,
pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),
introduced(tautology,[refl,[$fot(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)))]]) ).
cnf(refute_0_1556,plain,
( multiply(multiply(X,n1),add(X_65,X)) != multiply(X,n1)
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = pixley(X,multiply(X,n1),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1))) ),[1,1],$fot(multiply(X,n1))]]) ).
cnf(refute_0_1557,plain,
( multiply(multiply(X,n1),add(X_65,X)) != multiply(X,n1)
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = pixley(X,multiply(X,n1),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1))) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = pixley(X,multiply(X,n1),multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) )],[refute_0_1554,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( pixley(X,multiply(X,n1),multiply(X,n1)) != X
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != pixley(X,multiply(X,n1),multiply(X,n1))
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = X ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)))),bind(Y0,$fot(pixley(X,multiply(X,n1),multiply(X,n1)))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_1560,plain,
( pixley(X,multiply(X,n1),multiply(X,n1)) != X
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = X ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),pixley(X,multiply(X,n1),multiply(X,n1))) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) = X,
inference(resolve,[$cnf( $equal(pixley(X,multiply(X,n1),multiply(X,n1)),X) )],[refute_0_1265,refute_0_1560]) ).
cnf(refute_0_1562,plain,
( pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != X
| pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| X = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))) ),[0],$fot(X)]]) ).
cnf(refute_0_1563,plain,
( pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| X = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),X) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
inverse(multiply(multiply(X,n1),add(X_65,X))) = inverse(multiply(multiply(X,n1),add(X_65,X))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X,n1),add(X_65,X))))]]) ).
cnf(refute_0_1565,plain,
( multiply(multiply(X,n1),add(X_65,X)) != multiply(X,n1)
| inverse(multiply(multiply(X,n1),add(X_65,X))) != inverse(multiply(multiply(X,n1),add(X_65,X)))
| inverse(multiply(multiply(X,n1),add(X_65,X))) = inverse(multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X,n1),add(X_65,X))),inverse(multiply(multiply(X,n1),add(X_65,X)))) ),[1,0],$fot(multiply(X,n1))]]) ).
cnf(refute_0_1566,plain,
( multiply(multiply(X,n1),add(X_65,X)) != multiply(X,n1)
| inverse(multiply(multiply(X,n1),add(X_65,X))) = inverse(multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,n1),add(X_65,X))),inverse(multiply(multiply(X,n1),add(X_65,X)))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
inverse(multiply(multiply(X,n1),add(X_65,X))) = inverse(multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) )],[refute_0_1554,refute_0_1566]) ).
cnf(refute_0_1568,plain,
multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) = multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))))]]) ).
cnf(refute_0_1569,plain,
( multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) != multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X))))
| inverse(multiply(multiply(X,n1),add(X_65,X))) != inverse(multiply(X,n1))
| multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) = multiply(X,inverse(multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X))))) ),[1,1],$fot(inverse(multiply(X,n1)))]]) ).
cnf(refute_0_1570,plain,
( inverse(multiply(multiply(X,n1),add(X_65,X))) != inverse(multiply(X,n1))
| multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) = multiply(X,inverse(multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X))))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) = multiply(X,inverse(multiply(X,n1))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,n1),add(X_65,X))),inverse(multiply(X,n1))) )],[refute_0_1567,refute_0_1570]) ).
cnf(refute_0_1572,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))))]]) ).
cnf(refute_0_1573,plain,
( multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) != multiply(X,inverse(multiply(X,n1)))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))) ),[1,0],$fot(multiply(X,inverse(multiply(X,n1))))]]) ).
cnf(refute_0_1574,plain,
( multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))) != multiply(X,inverse(multiply(X,n1)))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))) )],[refute_0_1572,refute_0_1573]) ).
cnf(refute_0_1575,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(X,inverse(multiply(X,n1)))) )],[refute_0_1571,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( X != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))) != add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))
| X = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X,add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))) ),[0],$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))))]]) ).
cnf(refute_0_1577,plain,
( X != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| X = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1))),add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
( pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))
| X = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(X,add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))) )],[refute_0_1563,refute_0_1577]) ).
cnf(refute_0_1579,plain,
X = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_65,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_65,X)))),multiply(n1,multiply(X,n1)))) )],[refute_0_1264,refute_0_1578]) ).
cnf(refute_0_1580,plain,
multiply(n1,X_14) = multiply(X_14,n1),
inference(subst,[],[refute_0_1496:[bind(X_210,$fot(X_14))]]) ).
cnf(refute_0_1581,plain,
( multiply(n1,X_14) != multiply(X_14,n1)
| multiply(X_14,n1) = multiply(n1,X_14) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(n1,X_14))),bind(Y0,$fot(multiply(X_14,n1)))]]) ).
cnf(refute_0_1582,plain,
multiply(X_14,n1) = multiply(n1,X_14),
inference(resolve,[$cnf( $equal(multiply(n1,X_14),multiply(X_14,n1)) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
( X_14 != add(inverse(n1),multiply(X_14,n1))
| multiply(X_14,n1) != multiply(n1,X_14)
| X_14 = add(inverse(n1),multiply(n1,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(X_14,add(inverse(n1),multiply(X_14,n1))) ),[1,1],$fot(multiply(n1,X_14))]]) ).
cnf(refute_0_1584,plain,
( X_14 != add(inverse(n1),multiply(X_14,n1))
| X_14 = add(inverse(n1),multiply(n1,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,n1),multiply(n1,X_14)) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
X_14 = add(inverse(n1),multiply(n1,X_14)),
inference(resolve,[$cnf( $equal(X_14,add(inverse(n1),multiply(X_14,n1))) )],[refute_0_574,refute_0_1584]) ).
cnf(refute_0_1586,plain,
multiply(X_55,add(n1,inverse(X_55))) = add(inverse(n1),multiply(n1,multiply(X_55,add(n1,inverse(X_55))))),
inference(subst,[],[refute_0_1585:[bind(X_14,$fot(multiply(X_55,add(n1,inverse(X_55)))))]]) ).
cnf(refute_0_1587,plain,
multiply(n1,multiply(X_55,add(n1,inverse(X_55)))) = multiply(X_55,add(n1,inverse(X_55))),
inference(subst,[],[refute_0_582:[bind(X_53,$fot(n1))]]) ).
cnf(refute_0_1588,plain,
( multiply(X_55,add(n1,inverse(X_55))) != add(inverse(n1),multiply(n1,multiply(X_55,add(n1,inverse(X_55)))))
| multiply(n1,multiply(X_55,add(n1,inverse(X_55)))) != multiply(X_55,add(n1,inverse(X_55)))
| multiply(X_55,add(n1,inverse(X_55))) = add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),add(inverse(n1),multiply(n1,multiply(X_55,add(n1,inverse(X_55)))))) ),[1,1],$fot(multiply(X_55,add(n1,inverse(X_55))))]]) ).
cnf(refute_0_1589,plain,
( multiply(X_55,add(n1,inverse(X_55))) != add(inverse(n1),multiply(n1,multiply(X_55,add(n1,inverse(X_55)))))
| multiply(X_55,add(n1,inverse(X_55))) = add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_55,add(n1,inverse(X_55)))),multiply(X_55,add(n1,inverse(X_55)))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
multiply(X_55,add(n1,inverse(X_55))) = add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))),
inference(resolve,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),add(inverse(n1),multiply(n1,multiply(X_55,add(n1,inverse(X_55)))))) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
multiply(n1,add(n1,inverse(X_54))) = add(inverse(n1),multiply(n1,multiply(n1,add(n1,inverse(X_54))))),
inference(subst,[],[refute_0_1585:[bind(X_14,$fot(multiply(n1,add(n1,inverse(X_54)))))]]) ).
cnf(refute_0_1592,plain,
multiply(n1,multiply(n1,add(n1,inverse(X_54)))) = multiply(n1,add(n1,inverse(X_54))),
inference(subst,[],[refute_0_434:[bind(X_55,$fot(n1))]]) ).
cnf(refute_0_1593,plain,
( multiply(n1,multiply(n1,add(n1,inverse(X_54)))) != multiply(n1,add(n1,inverse(X_54)))
| multiply(n1,add(n1,inverse(X_54))) != add(inverse(n1),multiply(n1,multiply(n1,add(n1,inverse(X_54)))))
| multiply(n1,add(n1,inverse(X_54))) = add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(n1,inverse(X_54))),add(inverse(n1),multiply(n1,multiply(n1,add(n1,inverse(X_54)))))) ),[1,1],$fot(multiply(n1,add(n1,inverse(X_54))))]]) ).
cnf(refute_0_1594,plain,
( multiply(n1,add(n1,inverse(X_54))) != add(inverse(n1),multiply(n1,multiply(n1,add(n1,inverse(X_54)))))
| multiply(n1,add(n1,inverse(X_54))) = add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(n1,add(n1,inverse(X_54)))),multiply(n1,add(n1,inverse(X_54)))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
multiply(n1,add(n1,inverse(X_54))) = add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,inverse(X_54))),add(inverse(n1),multiply(n1,multiply(n1,add(n1,inverse(X_54)))))) )],[refute_0_1591,refute_0_1594]) ).
cnf(refute_0_1596,plain,
( X_14 != add(inverse(n1),multiply(n1,X_14))
| add(inverse(n1),multiply(n1,X_14)) = X_14 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_14)),bind(Y0,$fot(add(inverse(n1),multiply(n1,X_14))))]]) ).
cnf(refute_0_1597,plain,
add(inverse(n1),multiply(n1,X_14)) = X_14,
inference(resolve,[$cnf( $equal(X_14,add(inverse(n1),multiply(n1,X_14))) )],[refute_0_1585,refute_0_1596]) ).
cnf(refute_0_1598,plain,
add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))) = add(n1,inverse(X_54)),
inference(subst,[],[refute_0_1597:[bind(X_14,$fot(add(n1,inverse(X_54))))]]) ).
cnf(refute_0_1599,plain,
( multiply(n1,add(n1,inverse(X_54))) != add(inverse(n1),multiply(n1,add(n1,inverse(X_54))))
| add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))) != add(n1,inverse(X_54))
| multiply(n1,add(n1,inverse(X_54))) = add(n1,inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(n1,inverse(X_54))),add(n1,inverse(X_54))) ),[0],$fot(add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))))]]) ).
cnf(refute_0_1600,plain,
( multiply(n1,add(n1,inverse(X_54))) != add(inverse(n1),multiply(n1,add(n1,inverse(X_54))))
| multiply(n1,add(n1,inverse(X_54))) = add(n1,inverse(X_54)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(n1,add(n1,inverse(X_54)))),add(n1,inverse(X_54))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
multiply(n1,add(n1,inverse(X_54))) = add(n1,inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,inverse(X_54))),add(inverse(n1),multiply(n1,add(n1,inverse(X_54))))) )],[refute_0_1595,refute_0_1600]) ).
cnf(refute_0_1602,plain,
multiply(add(n1,X_190),add(Y,inverse(X_190))) = add(multiply(Y,add(n1,X_190)),multiply(inverse(X_190),add(n1,X_190))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(n1,X_190))),bind(Z,$fot(inverse(X_190)))]]) ).
cnf(refute_0_1603,plain,
( multiply(add(n1,X_190),add(Y,inverse(X_190))) != add(multiply(Y,add(n1,X_190)),multiply(inverse(X_190),add(n1,X_190)))
| multiply(inverse(X_190),add(n1,X_190)) != inverse(X_190)
| multiply(add(n1,X_190),add(Y,inverse(X_190))) = add(multiply(Y,add(n1,X_190)),inverse(X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_190),add(Y,inverse(X_190))),add(multiply(Y,add(n1,X_190)),multiply(inverse(X_190),add(n1,X_190)))) ),[1,1],$fot(inverse(X_190))]]) ).
cnf(refute_0_1604,plain,
( multiply(add(n1,X_190),add(Y,inverse(X_190))) != add(multiply(Y,add(n1,X_190)),multiply(inverse(X_190),add(n1,X_190)))
| multiply(add(n1,X_190),add(Y,inverse(X_190))) = add(multiply(Y,add(n1,X_190)),inverse(X_190)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),add(n1,X_190)),inverse(X_190)) )],[refute_0_1465,refute_0_1603]) ).
cnf(refute_0_1605,plain,
multiply(add(n1,X_190),add(Y,inverse(X_190))) = add(multiply(Y,add(n1,X_190)),inverse(X_190)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(Y,inverse(X_190))),add(multiply(Y,add(n1,X_190)),multiply(inverse(X_190),add(n1,X_190)))) )],[refute_0_1602,refute_0_1604]) ).
cnf(refute_0_1606,plain,
multiply(add(n1,X_190),add(X_190,inverse(X_190))) = add(multiply(X_190,add(n1,X_190)),inverse(X_190)),
inference(subst,[],[refute_0_1605:[bind(Y,$fot(X_190))]]) ).
cnf(refute_0_1607,plain,
multiply(X_190,add(n1,X_190)) = X_190,
inference(subst,[],[refute_0_1549:[bind(X,$fot(n1)),bind(Y,$fot(X_190))]]) ).
cnf(refute_0_1608,plain,
( multiply(X_190,add(n1,X_190)) != X_190
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) != add(multiply(X_190,add(n1,X_190)),inverse(X_190))
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) = add(X_190,inverse(X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),add(multiply(X_190,add(n1,X_190)),inverse(X_190))) ),[1,0],$fot(X_190)]]) ).
cnf(refute_0_1609,plain,
( multiply(add(n1,X_190),add(X_190,inverse(X_190))) != add(multiply(X_190,add(n1,X_190)),inverse(X_190))
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) = add(X_190,inverse(X_190)) ),
inference(resolve,[$cnf( $equal(multiply(X_190,add(n1,X_190)),X_190) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
multiply(add(n1,X_190),add(X_190,inverse(X_190))) = add(X_190,inverse(X_190)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),add(multiply(X_190,add(n1,X_190)),inverse(X_190))) )],[refute_0_1606,refute_0_1609]) ).
cnf(refute_0_1611,plain,
multiply(add(n1,X_190),n1) = multiply(n1,add(n1,X_190)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(n1)),bind(Z,$fot(add(n1,X_190)))]]) ).
cnf(refute_0_1612,plain,
add(X_190,inverse(X_190)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_190))]]) ).
cnf(refute_0_1613,plain,
multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(add(n1,X_190),add(X_190,inverse(X_190))),
introduced(tautology,[refl,[$fot(multiply(add(n1,X_190),add(X_190,inverse(X_190))))]]) ).
cnf(refute_0_1614,plain,
( multiply(add(n1,X_190),add(X_190,inverse(X_190))) != multiply(add(n1,X_190),add(X_190,inverse(X_190)))
| add(X_190,inverse(X_190)) != n1
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(add(n1,X_190),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),multiply(add(n1,X_190),add(X_190,inverse(X_190)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1615,plain,
( add(X_190,inverse(X_190)) != n1
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(add(n1,X_190),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),multiply(add(n1,X_190),add(X_190,inverse(X_190)))) )],[refute_0_1613,refute_0_1614]) ).
cnf(refute_0_1616,plain,
multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(add(n1,X_190),n1),
inference(resolve,[$cnf( $equal(add(X_190,inverse(X_190)),n1) )],[refute_0_1612,refute_0_1615]) ).
cnf(refute_0_1617,plain,
( multiply(add(n1,X_190),add(X_190,inverse(X_190))) != multiply(add(n1,X_190),n1)
| multiply(add(n1,X_190),n1) != multiply(n1,add(n1,X_190))
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(n1,add(n1,X_190)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,X_190),add(X_190,inverse(X_190))))),bind(Y0,$fot(multiply(add(n1,X_190),n1))),bind(Z0,$fot(multiply(n1,add(n1,X_190))))]]) ).
cnf(refute_0_1618,plain,
( multiply(add(n1,X_190),n1) != multiply(n1,add(n1,X_190))
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(n1,add(n1,X_190)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),multiply(add(n1,X_190),n1)) )],[refute_0_1616,refute_0_1617]) ).
cnf(refute_0_1619,plain,
multiply(add(n1,X_190),add(X_190,inverse(X_190))) = multiply(n1,add(n1,X_190)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),n1),multiply(n1,add(n1,X_190))) )],[refute_0_1611,refute_0_1618]) ).
cnf(refute_0_1620,plain,
( multiply(add(n1,X_190),add(X_190,inverse(X_190))) != multiply(n1,add(n1,X_190))
| multiply(add(n1,X_190),add(X_190,inverse(X_190))) != add(X_190,inverse(X_190))
| multiply(n1,add(n1,X_190)) = add(X_190,inverse(X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),add(X_190,inverse(X_190))) ),[0],$fot(multiply(n1,add(n1,X_190)))]]) ).
cnf(refute_0_1621,plain,
( multiply(add(n1,X_190),add(X_190,inverse(X_190))) != add(X_190,inverse(X_190))
| multiply(n1,add(n1,X_190)) = add(X_190,inverse(X_190)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),multiply(n1,add(n1,X_190))) )],[refute_0_1619,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( multiply(n1,add(n1,X_190)) != add(X_190,inverse(X_190))
| add(X_190,inverse(X_190)) != n1
| multiply(n1,add(n1,X_190)) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(n1,X_190)),n1) ),[0],$fot(add(X_190,inverse(X_190)))]]) ).
cnf(refute_0_1623,plain,
( multiply(n1,add(n1,X_190)) != add(X_190,inverse(X_190))
| multiply(n1,add(n1,X_190)) = n1 ),
inference(resolve,[$cnf( $equal(add(X_190,inverse(X_190)),n1) )],[refute_0_1612,refute_0_1622]) ).
cnf(refute_0_1624,plain,
( multiply(add(n1,X_190),add(X_190,inverse(X_190))) != add(X_190,inverse(X_190))
| multiply(n1,add(n1,X_190)) = n1 ),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,X_190)),add(X_190,inverse(X_190))) )],[refute_0_1621,refute_0_1623]) ).
cnf(refute_0_1625,plain,
multiply(n1,add(n1,X_190)) = n1,
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(X_190,inverse(X_190))),add(X_190,inverse(X_190))) )],[refute_0_1610,refute_0_1624]) ).
cnf(refute_0_1626,plain,
multiply(n1,add(n1,inverse(X_54))) = n1,
inference(subst,[],[refute_0_1625:[bind(X_190,$fot(inverse(X_54)))]]) ).
cnf(refute_0_1627,plain,
( multiply(n1,add(n1,inverse(X_54))) != add(n1,inverse(X_54))
| multiply(n1,add(n1,inverse(X_54))) != n1
| n1 = add(n1,inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(n1,inverse(X_54))),add(n1,inverse(X_54))) ),[0],$fot(n1)]]) ).
cnf(refute_0_1628,plain,
( multiply(n1,add(n1,inverse(X_54))) != add(n1,inverse(X_54))
| n1 = add(n1,inverse(X_54)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,inverse(X_54))),n1) )],[refute_0_1626,refute_0_1627]) ).
cnf(refute_0_1629,plain,
n1 = add(n1,inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,inverse(X_54))),add(n1,inverse(X_54))) )],[refute_0_1601,refute_0_1628]) ).
cnf(refute_0_1630,plain,
( n1 != add(n1,inverse(X_54))
| add(n1,inverse(X_54)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(n1,inverse(X_54))))]]) ).
cnf(refute_0_1631,plain,
add(n1,inverse(X_54)) = n1,
inference(resolve,[$cnf( $equal(n1,add(n1,inverse(X_54))) )],[refute_0_1629,refute_0_1630]) ).
cnf(refute_0_1632,plain,
add(n1,inverse(X_55)) = n1,
inference(subst,[],[refute_0_1631:[bind(X_54,$fot(X_55))]]) ).
cnf(refute_0_1633,plain,
multiply(X_55,add(n1,inverse(X_55))) = multiply(X_55,add(n1,inverse(X_55))),
introduced(tautology,[refl,[$fot(multiply(X_55,add(n1,inverse(X_55))))]]) ).
cnf(refute_0_1634,plain,
( multiply(X_55,add(n1,inverse(X_55))) != multiply(X_55,add(n1,inverse(X_55)))
| add(n1,inverse(X_55)) != n1
| multiply(X_55,add(n1,inverse(X_55))) = multiply(X_55,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),multiply(X_55,add(n1,inverse(X_55)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1635,plain,
( add(n1,inverse(X_55)) != n1
| multiply(X_55,add(n1,inverse(X_55))) = multiply(X_55,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),multiply(X_55,add(n1,inverse(X_55)))) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
multiply(X_55,add(n1,inverse(X_55))) = multiply(X_55,n1),
inference(resolve,[$cnf( $equal(add(n1,inverse(X_55)),n1) )],[refute_0_1632,refute_0_1635]) ).
cnf(refute_0_1637,plain,
( multiply(X_55,add(n1,inverse(X_55))) != multiply(X_55,n1)
| multiply(X_55,add(n1,inverse(X_55))) != add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))
| multiply(X_55,n1) = add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))) ),[0],$fot(multiply(X_55,n1))]]) ).
cnf(refute_0_1638,plain,
( multiply(X_55,add(n1,inverse(X_55))) != add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))
| multiply(X_55,n1) = add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),multiply(X_55,n1)) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
pixley(n1,n1,X_55) = X_55,
inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_1640,plain,
multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = add(multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_202,multiply(n1,add(n1,X_203))))),bind(Y,$fot(inverse(X_203)))]]) ).
cnf(refute_0_1641,plain,
multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = add(multiply(Y,inverse(X_193)),multiply(multiply(n1,add(n1,X_193)),inverse(X_193))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_193))),bind(Z,$fot(multiply(n1,add(n1,X_193))))]]) ).
cnf(refute_0_1642,plain,
multiply(multiply(X_58,add(X_59,inverse(X_59))),multiply(inverse(X_59),X_58)) = multiply(inverse(X_59),X_58),
inference(subst,[],[refute_0_236:[bind(X_21,$fot(X_58)),bind(X_22,$fot(X_59)),bind(X_23,$fot(inverse(X_59)))]]) ).
cnf(refute_0_1643,plain,
add(X_59,inverse(X_59)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_1644,plain,
( multiply(multiply(X_58,add(X_59,inverse(X_59))),multiply(inverse(X_59),X_58)) != multiply(inverse(X_59),X_58)
| add(X_59,inverse(X_59)) != n1
| multiply(multiply(X_58,n1),multiply(inverse(X_59),X_58)) = multiply(inverse(X_59),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,add(X_59,inverse(X_59))),multiply(inverse(X_59),X_58)),multiply(inverse(X_59),X_58)) ),[0,0,1],$fot(n1)]]) ).
cnf(refute_0_1645,plain,
( multiply(multiply(X_58,add(X_59,inverse(X_59))),multiply(inverse(X_59),X_58)) != multiply(inverse(X_59),X_58)
| multiply(multiply(X_58,n1),multiply(inverse(X_59),X_58)) = multiply(inverse(X_59),X_58) ),
inference(resolve,[$cnf( $equal(add(X_59,inverse(X_59)),n1) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
multiply(multiply(X_58,n1),multiply(inverse(X_59),X_58)) = multiply(inverse(X_59),X_58),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,add(X_59,inverse(X_59))),multiply(inverse(X_59),X_58)),multiply(inverse(X_59),X_58)) )],[refute_0_1642,refute_0_1645]) ).
cnf(refute_0_1647,plain,
multiply(multiply(add(n1,X_59),n1),multiply(inverse(X_59),add(n1,X_59))) = multiply(inverse(X_59),add(n1,X_59)),
inference(subst,[],[refute_0_1646:[bind(X_58,$fot(add(n1,X_59)))]]) ).
cnf(refute_0_1648,plain,
multiply(inverse(X_59),add(n1,X_59)) = inverse(X_59),
inference(subst,[],[refute_0_1464:[bind(Y,$fot(X_59))]]) ).
cnf(refute_0_1649,plain,
( multiply(multiply(add(n1,X_59),n1),multiply(inverse(X_59),add(n1,X_59))) != multiply(inverse(X_59),add(n1,X_59))
| multiply(inverse(X_59),add(n1,X_59)) != inverse(X_59)
| multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(inverse(X_59),add(n1,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),multiply(inverse(X_59),add(n1,X_59))),multiply(inverse(X_59),add(n1,X_59))) ),[0,1],$fot(inverse(X_59))]]) ).
cnf(refute_0_1650,plain,
( multiply(multiply(add(n1,X_59),n1),multiply(inverse(X_59),add(n1,X_59))) != multiply(inverse(X_59),add(n1,X_59))
| multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(inverse(X_59),add(n1,X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),add(n1,X_59)),inverse(X_59)) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(inverse(X_59),add(n1,X_59)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),multiply(inverse(X_59),add(n1,X_59))),multiply(inverse(X_59),add(n1,X_59))) )],[refute_0_1647,refute_0_1650]) ).
cnf(refute_0_1652,plain,
multiply(add(n1,X_59),n1) = multiply(n1,add(n1,X_59)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(add(n1,X_59)))]]) ).
cnf(refute_0_1653,plain,
multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(multiply(add(n1,X_59),n1),inverse(X_59)),
introduced(tautology,[refl,[$fot(multiply(multiply(add(n1,X_59),n1),inverse(X_59)))]]) ).
cnf(refute_0_1654,plain,
( multiply(multiply(add(n1,X_59),n1),inverse(X_59)) != multiply(multiply(add(n1,X_59),n1),inverse(X_59))
| multiply(add(n1,X_59),n1) != multiply(n1,add(n1,X_59))
| multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),inverse(X_59)),multiply(multiply(add(n1,X_59),n1),inverse(X_59))) ),[1,0],$fot(multiply(n1,add(n1,X_59)))]]) ).
cnf(refute_0_1655,plain,
( multiply(add(n1,X_59),n1) != multiply(n1,add(n1,X_59))
| multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),inverse(X_59)),multiply(multiply(add(n1,X_59),n1),inverse(X_59))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
multiply(multiply(add(n1,X_59),n1),inverse(X_59)) = multiply(multiply(n1,add(n1,X_59)),inverse(X_59)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_59),n1),multiply(n1,add(n1,X_59))) )],[refute_0_1652,refute_0_1655]) ).
cnf(refute_0_1657,plain,
( multiply(multiply(add(n1,X_59),n1),inverse(X_59)) != multiply(multiply(n1,add(n1,X_59)),inverse(X_59))
| multiply(multiply(add(n1,X_59),n1),inverse(X_59)) != multiply(inverse(X_59),add(n1,X_59))
| multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) = multiply(inverse(X_59),add(n1,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),inverse(X_59)),multiply(inverse(X_59),add(n1,X_59))) ),[0],$fot(multiply(multiply(n1,add(n1,X_59)),inverse(X_59)))]]) ).
cnf(refute_0_1658,plain,
( multiply(multiply(add(n1,X_59),n1),inverse(X_59)) != multiply(inverse(X_59),add(n1,X_59))
| multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) = multiply(inverse(X_59),add(n1,X_59)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),inverse(X_59)),multiply(multiply(n1,add(n1,X_59)),inverse(X_59))) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
( multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) != multiply(inverse(X_59),add(n1,X_59))
| multiply(inverse(X_59),add(n1,X_59)) != inverse(X_59)
| multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) = inverse(X_59) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(n1,add(n1,X_59)),inverse(X_59)),inverse(X_59)) ),[0],$fot(multiply(inverse(X_59),add(n1,X_59)))]]) ).
cnf(refute_0_1660,plain,
( multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) != multiply(inverse(X_59),add(n1,X_59))
| multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),add(n1,X_59)),inverse(X_59)) )],[refute_0_1648,refute_0_1659]) ).
cnf(refute_0_1661,plain,
( multiply(multiply(add(n1,X_59),n1),inverse(X_59)) != multiply(inverse(X_59),add(n1,X_59))
| multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,add(n1,X_59)),inverse(X_59)),multiply(inverse(X_59),add(n1,X_59))) )],[refute_0_1658,refute_0_1660]) ).
cnf(refute_0_1662,plain,
multiply(multiply(n1,add(n1,X_59)),inverse(X_59)) = inverse(X_59),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,X_59),n1),inverse(X_59)),multiply(inverse(X_59),add(n1,X_59))) )],[refute_0_1651,refute_0_1661]) ).
cnf(refute_0_1663,plain,
multiply(multiply(n1,add(n1,X_193)),inverse(X_193)) = inverse(X_193),
inference(subst,[],[refute_0_1662:[bind(X_59,$fot(X_193))]]) ).
cnf(refute_0_1664,plain,
( multiply(multiply(n1,add(n1,X_193)),inverse(X_193)) != inverse(X_193)
| multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) != add(multiply(Y,inverse(X_193)),multiply(multiply(n1,add(n1,X_193)),inverse(X_193)))
| multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = add(multiply(Y,inverse(X_193)),inverse(X_193)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))),add(multiply(Y,inverse(X_193)),multiply(multiply(n1,add(n1,X_193)),inverse(X_193)))) ),[1,1],$fot(inverse(X_193))]]) ).
cnf(refute_0_1665,plain,
( multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) != add(multiply(Y,inverse(X_193)),multiply(multiply(n1,add(n1,X_193)),inverse(X_193)))
| multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = add(multiply(Y,inverse(X_193)),inverse(X_193)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,add(n1,X_193)),inverse(X_193)),inverse(X_193)) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = add(multiply(Y,inverse(X_193)),inverse(X_193)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))),add(multiply(Y,inverse(X_193)),multiply(multiply(n1,add(n1,X_193)),inverse(X_193)))) )],[refute_0_1641,refute_0_1665]) ).
cnf(refute_0_1667,plain,
multiply(inverse(X_50),add(X_22,add(inverse(X_50),inverse(X_50)))) = add(multiply(X_22,inverse(X_50)),inverse(X_50)),
inference(subst,[],[refute_0_85:[bind(X,$fot(inverse(X_50))),bind(X_21,$fot(inverse(X_50)))]]) ).
cnf(refute_0_1668,plain,
( multiply(inverse(X_50),add(X_22,add(inverse(X_50),inverse(X_50)))) != add(multiply(X_22,inverse(X_50)),inverse(X_50))
| add(inverse(X_50),inverse(X_50)) != multiply(inverse(X_50),add(X_49,n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = add(multiply(X_22,inverse(X_50)),inverse(X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(X_22,add(inverse(X_50),inverse(X_50)))),add(multiply(X_22,inverse(X_50)),inverse(X_50))) ),[0,1,1],$fot(multiply(inverse(X_50),add(X_49,n1)))]]) ).
cnf(refute_0_1669,plain,
( multiply(inverse(X_50),add(X_22,add(inverse(X_50),inverse(X_50)))) != add(multiply(X_22,inverse(X_50)),inverse(X_50))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = add(multiply(X_22,inverse(X_50)),inverse(X_50)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_50),inverse(X_50)),multiply(inverse(X_50),add(X_49,n1))) )],[refute_0_329,refute_0_1668]) ).
cnf(refute_0_1670,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = add(multiply(X_22,inverse(X_50)),inverse(X_50)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,add(inverse(X_50),inverse(X_50)))),add(multiply(X_22,inverse(X_50)),inverse(X_50))) )],[refute_0_1667,refute_0_1669]) ).
cnf(refute_0_1671,plain,
add(multiply(X_22,inverse(X_50)),inverse(X_50)) = multiply(inverse(X_50),add(X_22,n1)),
inference(subst,[],[refute_0_91:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_1672,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != add(multiply(X_22,inverse(X_50)),inverse(X_50))
| add(multiply(X_22,inverse(X_50)),inverse(X_50)) != multiply(inverse(X_50),add(X_22,n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),multiply(inverse(X_50),add(X_22,n1))) ),[0],$fot(add(multiply(X_22,inverse(X_50)),inverse(X_50)))]]) ).
cnf(refute_0_1673,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != add(multiply(X_22,inverse(X_50)),inverse(X_50))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_50)),inverse(X_50)),multiply(inverse(X_50),add(X_22,n1))) )],[refute_0_1671,refute_0_1672]) ).
cnf(refute_0_1674,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),add(multiply(X_22,inverse(X_50)),inverse(X_50))) )],[refute_0_1670,refute_0_1673]) ).
cnf(refute_0_1675,plain,
multiply(inverse(X_50),add(X_49,n1)) = multiply(inverse(X_50),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_49)),bind(X_54,$fot(X_50))]]) ).
cnf(refute_0_1676,plain,
add(X_22,multiply(inverse(X_50),add(X_49,n1))) = add(X_22,multiply(inverse(X_50),add(X_49,n1))),
introduced(tautology,[refl,[$fot(add(X_22,multiply(inverse(X_50),add(X_49,n1))))]]) ).
cnf(refute_0_1677,plain,
( multiply(inverse(X_50),add(X_49,n1)) != multiply(inverse(X_50),n1)
| add(X_22,multiply(inverse(X_50),add(X_49,n1))) != add(X_22,multiply(inverse(X_50),add(X_49,n1)))
| add(X_22,multiply(inverse(X_50),add(X_49,n1))) = add(X_22,multiply(inverse(X_50),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_22,multiply(inverse(X_50),add(X_49,n1))),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) ),[1,1],$fot(multiply(inverse(X_50),n1))]]) ).
cnf(refute_0_1678,plain,
( multiply(inverse(X_50),add(X_49,n1)) != multiply(inverse(X_50),n1)
| add(X_22,multiply(inverse(X_50),add(X_49,n1))) = add(X_22,multiply(inverse(X_50),n1)) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(inverse(X_50),add(X_49,n1))),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
add(X_22,multiply(inverse(X_50),add(X_49,n1))) = add(X_22,multiply(inverse(X_50),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_49,n1)),multiply(inverse(X_50),n1)) )],[refute_0_1675,refute_0_1678]) ).
cnf(refute_0_1680,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))))]]) ).
cnf(refute_0_1681,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1))))
| add(X_22,multiply(inverse(X_50),add(X_49,n1))) != add(X_22,multiply(inverse(X_50),n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1))))) ),[1,1],$fot(add(X_22,multiply(inverse(X_50),n1)))]]) ).
cnf(refute_0_1682,plain,
( add(X_22,multiply(inverse(X_50),add(X_49,n1))) != add(X_22,multiply(inverse(X_50),n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1))))) )],[refute_0_1680,refute_0_1681]) ).
cnf(refute_0_1683,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) = multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),
inference(resolve,[$cnf( $equal(add(X_22,multiply(inverse(X_50),add(X_49,n1))),add(X_22,multiply(inverse(X_50),n1))) )],[refute_0_1679,refute_0_1682]) ).
cnf(refute_0_1684,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1)))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != multiply(inverse(X_50),add(X_22,n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),add(X_22,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),multiply(inverse(X_50),add(X_22,n1))) ),[0],$fot(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))))]]) ).
cnf(refute_0_1685,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != multiply(inverse(X_50),add(X_22,n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),add(X_22,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1)))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
multiply(inverse(X_50),add(X_22,n1)) = multiply(inverse(X_50),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_22)),bind(X_54,$fot(X_50))]]) ).
cnf(refute_0_1687,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),add(X_22,n1))
| multiply(inverse(X_50),add(X_22,n1)) != multiply(inverse(X_50),n1)
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),n1)) ),[0],$fot(multiply(inverse(X_50),add(X_22,n1)))]]) ).
cnf(refute_0_1688,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),add(X_22,n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,n1)),multiply(inverse(X_50),n1)) )],[refute_0_1686,refute_0_1687]) ).
cnf(refute_0_1689,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))) != multiply(inverse(X_50),add(X_22,n1))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),add(X_22,n1))) )],[refute_0_1685,refute_0_1688]) ).
cnf(refute_0_1690,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),add(X_49,n1)))),multiply(inverse(X_50),add(X_22,n1))) )],[refute_0_1674,refute_0_1689]) ).
cnf(refute_0_1691,plain,
multiply(n1,inverse(X_50)) = inverse(X_50),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_1692,plain,
multiply(inverse(X_50),n1) = multiply(n1,inverse(X_50)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X_50)))]]) ).
cnf(refute_0_1693,plain,
( multiply(inverse(X_50),n1) != multiply(n1,inverse(X_50))
| multiply(n1,inverse(X_50)) != inverse(X_50)
| multiply(inverse(X_50),n1) = inverse(X_50) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_50),n1))),bind(Y0,$fot(multiply(n1,inverse(X_50)))),bind(Z0,$fot(inverse(X_50)))]]) ).
cnf(refute_0_1694,plain,
( multiply(n1,inverse(X_50)) != inverse(X_50)
| multiply(inverse(X_50),n1) = inverse(X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),n1),multiply(n1,inverse(X_50))) )],[refute_0_1692,refute_0_1693]) ).
cnf(refute_0_1695,plain,
multiply(inverse(X_50),n1) = inverse(X_50),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_50)),inverse(X_50)) )],[refute_0_1691,refute_0_1694]) ).
cnf(refute_0_1696,plain,
add(X_22,multiply(inverse(X_50),n1)) = add(X_22,multiply(inverse(X_50),n1)),
introduced(tautology,[refl,[$fot(add(X_22,multiply(inverse(X_50),n1)))]]) ).
cnf(refute_0_1697,plain,
( multiply(inverse(X_50),n1) != inverse(X_50)
| add(X_22,multiply(inverse(X_50),n1)) != add(X_22,multiply(inverse(X_50),n1))
| add(X_22,multiply(inverse(X_50),n1)) = add(X_22,inverse(X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_22,multiply(inverse(X_50),n1)),add(X_22,multiply(inverse(X_50),n1))) ),[1,1],$fot(inverse(X_50))]]) ).
cnf(refute_0_1698,plain,
( multiply(inverse(X_50),n1) != inverse(X_50)
| add(X_22,multiply(inverse(X_50),n1)) = add(X_22,inverse(X_50)) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(inverse(X_50),n1)),add(X_22,multiply(inverse(X_50),n1))) )],[refute_0_1696,refute_0_1697]) ).
cnf(refute_0_1699,plain,
add(X_22,multiply(inverse(X_50),n1)) = add(X_22,inverse(X_50)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),n1),inverse(X_50)) )],[refute_0_1695,refute_0_1698]) ).
cnf(refute_0_1700,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))))]]) ).
cnf(refute_0_1701,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1)))
| add(X_22,multiply(inverse(X_50),n1)) != add(X_22,inverse(X_50))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),add(X_22,inverse(X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1)))) ),[1,1],$fot(add(X_22,inverse(X_50)))]]) ).
cnf(refute_0_1702,plain,
( add(X_22,multiply(inverse(X_50),n1)) != add(X_22,inverse(X_50))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),add(X_22,inverse(X_50))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1)))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) = multiply(inverse(X_50),add(X_22,inverse(X_50))),
inference(resolve,[$cnf( $equal(add(X_22,multiply(inverse(X_50),n1)),add(X_22,inverse(X_50))) )],[refute_0_1699,refute_0_1702]) ).
cnf(refute_0_1704,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),add(X_22,inverse(X_50)))
| multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),n1)
| multiply(inverse(X_50),add(X_22,inverse(X_50))) = multiply(inverse(X_50),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),n1)) ),[0],$fot(multiply(inverse(X_50),add(X_22,inverse(X_50))))]]) ).
cnf(refute_0_1705,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),n1)
| multiply(inverse(X_50),add(X_22,inverse(X_50))) = multiply(inverse(X_50),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),add(X_22,inverse(X_50)))) )],[refute_0_1703,refute_0_1704]) ).
cnf(refute_0_1706,plain,
( multiply(inverse(X_50),add(X_22,inverse(X_50))) != multiply(inverse(X_50),n1)
| multiply(inverse(X_50),n1) != inverse(X_50)
| multiply(inverse(X_50),add(X_22,inverse(X_50))) = inverse(X_50) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_50),add(X_22,inverse(X_50))),inverse(X_50)) ),[0],$fot(multiply(inverse(X_50),n1))]]) ).
cnf(refute_0_1707,plain,
( multiply(inverse(X_50),add(X_22,inverse(X_50))) != multiply(inverse(X_50),n1)
| multiply(inverse(X_50),add(X_22,inverse(X_50))) = inverse(X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),n1),inverse(X_50)) )],[refute_0_1695,refute_0_1706]) ).
cnf(refute_0_1708,plain,
( multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))) != multiply(inverse(X_50),n1)
| multiply(inverse(X_50),add(X_22,inverse(X_50))) = inverse(X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,inverse(X_50))),multiply(inverse(X_50),n1)) )],[refute_0_1705,refute_0_1707]) ).
cnf(refute_0_1709,plain,
multiply(inverse(X_50),add(X_22,inverse(X_50))) = inverse(X_50),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_22,multiply(inverse(X_50),n1))),multiply(inverse(X_50),n1)) )],[refute_0_1690,refute_0_1708]) ).
cnf(refute_0_1710,plain,
multiply(inverse(X_193),add(Y,inverse(X_193))) = inverse(X_193),
inference(subst,[],[refute_0_1709:[bind(X_22,$fot(Y)),bind(X_50,$fot(X_193))]]) ).
cnf(refute_0_1711,plain,
add(multiply(Y,inverse(X_193)),inverse(X_193)) = multiply(inverse(X_193),add(Y,inverse(X_193))),
inference(subst,[],[refute_0_1339:[bind(X,$fot(inverse(X_193)))]]) ).
cnf(refute_0_1712,plain,
( multiply(inverse(X_193),add(Y,inverse(X_193))) != inverse(X_193)
| add(multiply(Y,inverse(X_193)),inverse(X_193)) != multiply(inverse(X_193),add(Y,inverse(X_193)))
| add(multiply(Y,inverse(X_193)),inverse(X_193)) = inverse(X_193) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(Y,inverse(X_193)),inverse(X_193)))),bind(Y0,$fot(multiply(inverse(X_193),add(Y,inverse(X_193))))),bind(Z0,$fot(inverse(X_193)))]]) ).
cnf(refute_0_1713,plain,
( multiply(inverse(X_193),add(Y,inverse(X_193))) != inverse(X_193)
| add(multiply(Y,inverse(X_193)),inverse(X_193)) = inverse(X_193) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,inverse(X_193)),inverse(X_193)),multiply(inverse(X_193),add(Y,inverse(X_193)))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
add(multiply(Y,inverse(X_193)),inverse(X_193)) = inverse(X_193),
inference(resolve,[$cnf( $equal(multiply(inverse(X_193),add(Y,inverse(X_193))),inverse(X_193)) )],[refute_0_1710,refute_0_1713]) ).
cnf(refute_0_1715,plain,
( multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) != add(multiply(Y,inverse(X_193)),inverse(X_193))
| add(multiply(Y,inverse(X_193)),inverse(X_193)) != inverse(X_193)
| multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = inverse(X_193) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))),inverse(X_193)) ),[0],$fot(add(multiply(Y,inverse(X_193)),inverse(X_193)))]]) ).
cnf(refute_0_1716,plain,
( multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) != add(multiply(Y,inverse(X_193)),inverse(X_193))
| multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = inverse(X_193) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,inverse(X_193)),inverse(X_193)),inverse(X_193)) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))) = inverse(X_193),
inference(resolve,[$cnf( $equal(multiply(inverse(X_193),add(Y,multiply(n1,add(n1,X_193)))),add(multiply(Y,inverse(X_193)),inverse(X_193))) )],[refute_0_1666,refute_0_1716]) ).
cnf(refute_0_1718,plain,
multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))) = inverse(X_203),
inference(subst,[],[refute_0_1717:[bind(Y,$fot(X_202)),bind(X_193,$fot(X_203))]]) ).
cnf(refute_0_1719,plain,
( multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != add(multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))) != inverse(X_203)
| multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),add(multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) ),[1,0],$fot(inverse(X_203))]]) ).
cnf(refute_0_1720,plain,
( multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != add(multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))),inverse(X_203)) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))),
inference(resolve,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),add(multiply(inverse(X_203),add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) )],[refute_0_1640,refute_0_1720]) ).
cnf(refute_0_1722,plain,
add(X_202,n1) = n1,
inference(subst,[],[refute_0_1307:[bind(X,$fot(X_202))]]) ).
cnf(refute_0_1723,plain,
multiply(n1,add(n1,X_203)) = n1,
inference(subst,[],[refute_0_1625:[bind(X_190,$fot(X_203))]]) ).
cnf(refute_0_1724,plain,
add(X_202,multiply(n1,add(n1,X_203))) = add(X_202,multiply(n1,add(n1,X_203))),
introduced(tautology,[refl,[$fot(add(X_202,multiply(n1,add(n1,X_203))))]]) ).
cnf(refute_0_1725,plain,
( multiply(n1,add(n1,X_203)) != n1
| add(X_202,multiply(n1,add(n1,X_203))) != add(X_202,multiply(n1,add(n1,X_203)))
| add(X_202,multiply(n1,add(n1,X_203))) = add(X_202,n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_202,multiply(n1,add(n1,X_203))),add(X_202,multiply(n1,add(n1,X_203)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1726,plain,
( multiply(n1,add(n1,X_203)) != n1
| add(X_202,multiply(n1,add(n1,X_203))) = add(X_202,n1) ),
inference(resolve,[$cnf( $equal(add(X_202,multiply(n1,add(n1,X_203))),add(X_202,multiply(n1,add(n1,X_203)))) )],[refute_0_1724,refute_0_1725]) ).
cnf(refute_0_1727,plain,
add(X_202,multiply(n1,add(n1,X_203))) = add(X_202,n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,X_203)),n1) )],[refute_0_1723,refute_0_1726]) ).
cnf(refute_0_1728,plain,
( add(X_202,multiply(n1,add(n1,X_203))) != add(X_202,n1)
| add(X_202,n1) != n1
| add(X_202,multiply(n1,add(n1,X_203))) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(X_202,multiply(n1,add(n1,X_203))))),bind(Y0,$fot(add(X_202,n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1729,plain,
( add(X_202,n1) != n1
| add(X_202,multiply(n1,add(n1,X_203))) = n1 ),
inference(resolve,[$cnf( $equal(add(X_202,multiply(n1,add(n1,X_203))),add(X_202,n1)) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
add(X_202,multiply(n1,add(n1,X_203))) = n1,
inference(resolve,[$cnf( $equal(add(X_202,n1),n1) )],[refute_0_1722,refute_0_1729]) ).
cnf(refute_0_1731,plain,
multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),
introduced(tautology,[refl,[$fot(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)))]]) ).
cnf(refute_0_1732,plain,
( multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z))
| add(X_202,multiply(n1,add(n1,X_203))) != n1
| multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = multiply(n1,add(inverse(X_203),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_1733,plain,
( add(X_202,multiply(n1,add(n1,X_203))) != n1
| multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = multiply(n1,add(inverse(X_203),Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z))) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) = multiply(n1,add(inverse(X_203),Z)),
inference(resolve,[$cnf( $equal(add(X_202,multiply(n1,add(n1,X_203))),n1) )],[refute_0_1730,refute_0_1733]) ).
cnf(refute_0_1735,plain,
( multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != multiply(n1,add(inverse(X_203),Z))
| multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| multiply(n1,add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) ),[0],$fot(multiply(n1,add(inverse(X_203),Z)))]]) ).
cnf(refute_0_1736,plain,
( multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| multiply(n1,add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),multiply(n1,add(inverse(X_203),Z))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) = multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))),
introduced(tautology,[refl,[$fot(multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))]]) ).
cnf(refute_0_1738,plain,
( multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) != multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))
| add(X_202,multiply(n1,add(n1,X_203))) != n1
| multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) = multiply(Z,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1739,plain,
( add(X_202,multiply(n1,add(n1,X_203))) != n1
| multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) = multiply(Z,n1) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) = multiply(Z,n1),
inference(resolve,[$cnf( $equal(add(X_202,multiply(n1,add(n1,X_203))),n1) )],[refute_0_1730,refute_0_1739]) ).
cnf(refute_0_1741,plain,
add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) = add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))),
introduced(tautology,[refl,[$fot(add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))))]]) ).
cnf(refute_0_1742,plain,
( multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) != multiply(Z,n1)
| add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) != add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) = add(inverse(X_203),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))),add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) ),[1,1],$fot(multiply(Z,n1))]]) ).
cnf(refute_0_1743,plain,
( multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))) != multiply(Z,n1)
| add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) = add(inverse(X_203),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))),add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) = add(inverse(X_203),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))),multiply(Z,n1)) )],[refute_0_1740,refute_0_1743]) ).
cnf(refute_0_1745,plain,
( multiply(n1,add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))) != add(inverse(X_203),multiply(Z,n1))
| multiply(n1,add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,n1))) ),[0],$fot(add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))))]]) ).
cnf(refute_0_1746,plain,
( multiply(n1,add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| multiply(n1,add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203))))),add(inverse(X_203),multiply(Z,n1))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
( multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))
| multiply(n1,add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) )],[refute_0_1736,refute_0_1746]) ).
cnf(refute_0_1748,plain,
multiply(n1,add(inverse(X_203),Z)) = add(inverse(X_203),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_202,multiply(n1,add(n1,X_203))),add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,add(X_202,multiply(n1,add(n1,X_203)))))) )],[refute_0_1721,refute_0_1747]) ).
cnf(refute_0_1749,plain,
pixley(multiply(n1,add(n1,Y)),Y,Z) = add(multiply(multiply(n1,add(n1,Y)),inverse(Y)),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(n1,add(n1,Y))))]]) ).
cnf(refute_0_1750,plain,
multiply(multiply(n1,add(n1,Y)),inverse(Y)) = inverse(Y),
inference(subst,[],[refute_0_1662:[bind(X_59,$fot(Y))]]) ).
cnf(refute_0_1751,plain,
( multiply(multiply(n1,add(n1,Y)),inverse(Y)) != inverse(Y)
| pixley(multiply(n1,add(n1,Y)),Y,Z) != add(multiply(multiply(n1,add(n1,Y)),inverse(Y)),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))
| pixley(multiply(n1,add(n1,Y)),Y,Z) = add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),add(multiply(multiply(n1,add(n1,Y)),inverse(Y)),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_1752,plain,
( pixley(multiply(n1,add(n1,Y)),Y,Z) != add(multiply(multiply(n1,add(n1,Y)),inverse(Y)),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))
| pixley(multiply(n1,add(n1,Y)),Y,Z) = add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,add(n1,Y)),inverse(Y)),inverse(Y)) )],[refute_0_1750,refute_0_1751]) ).
cnf(refute_0_1753,plain,
pixley(multiply(n1,add(n1,Y)),Y,Z) = add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),add(multiply(multiply(n1,add(n1,Y)),inverse(Y)),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))) )],[refute_0_1749,refute_0_1752]) ).
cnf(refute_0_1754,plain,
( multiply(add(n1,X_190),add(Y,inverse(X_190))) != add(multiply(Y,add(n1,X_190)),inverse(X_190))
| add(multiply(Y,add(n1,X_190)),inverse(X_190)) = multiply(add(n1,X_190),add(Y,inverse(X_190))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(n1,X_190),add(Y,inverse(X_190))))),bind(Y0,$fot(add(multiply(Y,add(n1,X_190)),inverse(X_190))))]]) ).
cnf(refute_0_1755,plain,
add(multiply(Y,add(n1,X_190)),inverse(X_190)) = multiply(add(n1,X_190),add(Y,inverse(X_190))),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_190),add(Y,inverse(X_190))),add(multiply(Y,add(n1,X_190)),inverse(X_190))) )],[refute_0_1605,refute_0_1754]) ).
cnf(refute_0_1756,plain,
add(multiply(n1,add(n1,Y)),inverse(Y)) = multiply(add(n1,Y),add(n1,inverse(Y))),
inference(subst,[],[refute_0_1755:[bind(Y,$fot(n1)),bind(X_190,$fot(Y))]]) ).
cnf(refute_0_1757,plain,
multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) = multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))]]) ).
cnf(refute_0_1758,plain,
( multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) != multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))
| add(multiply(n1,add(n1,Y)),inverse(Y)) != multiply(add(n1,Y),add(n1,inverse(Y)))
| multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) = multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) ),[1,1],$fot(multiply(add(n1,Y),add(n1,inverse(Y))))]]) ).
cnf(refute_0_1759,plain,
( add(multiply(n1,add(n1,Y)),inverse(Y)) != multiply(add(n1,Y),add(n1,inverse(Y)))
| multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) = multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) )],[refute_0_1757,refute_0_1758]) ).
cnf(refute_0_1760,plain,
multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) = multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))),
inference(resolve,[$cnf( $equal(add(multiply(n1,add(n1,Y)),inverse(Y)),multiply(add(n1,Y),add(n1,inverse(Y)))) )],[refute_0_1756,refute_0_1759]) ).
cnf(refute_0_1761,plain,
add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) = add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))),
introduced(tautology,[refl,[$fot(add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))))]]) ).
cnf(refute_0_1762,plain,
( multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) != multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))
| add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) != add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))
| add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))),add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))) ),[1,1],$fot(multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))]]) ).
cnf(refute_0_1763,plain,
( multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))) != multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))
| add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))),add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),
inference(resolve,[$cnf( $equal(multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) )],[refute_0_1760,refute_0_1763]) ).
cnf(refute_0_1765,plain,
( add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))) != add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))
| pixley(multiply(n1,add(n1,Y)),Y,Z) != add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))
| pixley(multiply(n1,add(n1,Y)),Y,Z) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))) ),[1],$fot(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))))]]) ).
cnf(refute_0_1766,plain,
( pixley(multiply(n1,add(n1,Y)),Y,Z) != add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))
| pixley(multiply(n1,add(n1,Y)),Y,Z) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y)))),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) )],[refute_0_1764,refute_0_1765]) ).
cnf(refute_0_1767,plain,
pixley(multiply(n1,add(n1,Y)),Y,Z) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),
inference(resolve,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),add(inverse(Y),multiply(Z,add(multiply(n1,add(n1,Y)),inverse(Y))))) )],[refute_0_1753,refute_0_1766]) ).
cnf(refute_0_1768,plain,
multiply(n1,add(n1,Y)) = n1,
inference(subst,[],[refute_0_1625:[bind(X_190,$fot(Y))]]) ).
cnf(refute_0_1769,plain,
pixley(multiply(n1,add(n1,Y)),Y,Z) = pixley(multiply(n1,add(n1,Y)),Y,Z),
introduced(tautology,[refl,[$fot(pixley(multiply(n1,add(n1,Y)),Y,Z))]]) ).
cnf(refute_0_1770,plain,
( multiply(n1,add(n1,Y)) != n1
| pixley(multiply(n1,add(n1,Y)),Y,Z) != pixley(multiply(n1,add(n1,Y)),Y,Z)
| pixley(multiply(n1,add(n1,Y)),Y,Z) = pixley(n1,Y,Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),pixley(multiply(n1,add(n1,Y)),Y,Z)) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_1771,plain,
( multiply(n1,add(n1,Y)) != n1
| pixley(multiply(n1,add(n1,Y)),Y,Z) = pixley(n1,Y,Z) ),
inference(resolve,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),pixley(multiply(n1,add(n1,Y)),Y,Z)) )],[refute_0_1769,refute_0_1770]) ).
cnf(refute_0_1772,plain,
pixley(multiply(n1,add(n1,Y)),Y,Z) = pixley(n1,Y,Z),
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,Y)),n1) )],[refute_0_1768,refute_0_1771]) ).
cnf(refute_0_1773,plain,
( pixley(multiply(n1,add(n1,Y)),Y,Z) != add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))
| pixley(multiply(n1,add(n1,Y)),Y,Z) != pixley(n1,Y,Z)
| pixley(n1,Y,Z) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) ),[0],$fot(pixley(n1,Y,Z))]]) ).
cnf(refute_0_1774,plain,
( pixley(multiply(n1,add(n1,Y)),Y,Z) != add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))
| pixley(n1,Y,Z) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),pixley(n1,Y,Z)) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
pixley(n1,Y,Z) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),
inference(resolve,[$cnf( $equal(pixley(multiply(n1,add(n1,Y)),Y,Z),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) )],[refute_0_1767,refute_0_1774]) ).
cnf(refute_0_1776,plain,
( multiply(n1,add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,n1))
| add(inverse(X_203),multiply(Z,n1)) = multiply(n1,add(inverse(X_203),Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(n1,add(inverse(X_203),Z)))),bind(Y0,$fot(add(inverse(X_203),multiply(Z,n1))))]]) ).
cnf(refute_0_1777,plain,
add(inverse(X_203),multiply(Z,n1)) = multiply(n1,add(inverse(X_203),Z)),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,n1))) )],[refute_0_1748,refute_0_1776]) ).
cnf(refute_0_1778,plain,
add(inverse(Y),multiply(Z,n1)) = multiply(n1,add(inverse(Y),Z)),
inference(subst,[],[refute_0_1777:[bind(X_203,$fot(Y))]]) ).
cnf(refute_0_1779,plain,
multiply(add(n1,Y),n1) = multiply(n1,add(n1,Y)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(n1)),bind(Z,$fot(add(n1,Y)))]]) ).
cnf(refute_0_1780,plain,
( multiply(add(n1,Y),n1) != multiply(n1,add(n1,Y))
| multiply(n1,add(n1,Y)) != n1
| multiply(add(n1,Y),n1) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,Y),n1))),bind(Y0,$fot(multiply(n1,add(n1,Y)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1781,plain,
( multiply(n1,add(n1,Y)) != n1
| multiply(add(n1,Y),n1) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),n1),multiply(n1,add(n1,Y))) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
multiply(add(n1,Y),n1) = n1,
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,Y)),n1) )],[refute_0_1768,refute_0_1781]) ).
cnf(refute_0_1783,plain,
add(n1,inverse(Y)) = n1,
inference(subst,[],[refute_0_1631:[bind(X_54,$fot(Y))]]) ).
cnf(refute_0_1784,plain,
multiply(add(n1,Y),add(n1,inverse(Y))) = multiply(add(n1,Y),add(n1,inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(add(n1,Y),add(n1,inverse(Y))))]]) ).
cnf(refute_0_1785,plain,
( multiply(add(n1,Y),add(n1,inverse(Y))) != multiply(add(n1,Y),add(n1,inverse(Y)))
| add(n1,inverse(Y)) != n1
| multiply(add(n1,Y),add(n1,inverse(Y))) = multiply(add(n1,Y),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,Y),add(n1,inverse(Y))),multiply(add(n1,Y),add(n1,inverse(Y)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1786,plain,
( add(n1,inverse(Y)) != n1
| multiply(add(n1,Y),add(n1,inverse(Y))) = multiply(add(n1,Y),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),add(n1,inverse(Y))),multiply(add(n1,Y),add(n1,inverse(Y)))) )],[refute_0_1784,refute_0_1785]) ).
cnf(refute_0_1787,plain,
multiply(add(n1,Y),add(n1,inverse(Y))) = multiply(add(n1,Y),n1),
inference(resolve,[$cnf( $equal(add(n1,inverse(Y)),n1) )],[refute_0_1783,refute_0_1786]) ).
cnf(refute_0_1788,plain,
( multiply(add(n1,Y),add(n1,inverse(Y))) != multiply(add(n1,Y),n1)
| multiply(add(n1,Y),n1) != n1
| multiply(add(n1,Y),add(n1,inverse(Y))) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,Y),add(n1,inverse(Y))))),bind(Y0,$fot(multiply(add(n1,Y),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_1789,plain,
( multiply(add(n1,Y),n1) != n1
| multiply(add(n1,Y),add(n1,inverse(Y))) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),add(n1,inverse(Y))),multiply(add(n1,Y),n1)) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
multiply(add(n1,Y),add(n1,inverse(Y))) = n1,
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),n1),n1) )],[refute_0_1782,refute_0_1789]) ).
cnf(refute_0_1791,plain,
multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) = multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))]]) ).
cnf(refute_0_1792,plain,
( multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) != multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))
| multiply(add(n1,Y),add(n1,inverse(Y))) != n1
| multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) = multiply(Z,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1793,plain,
( multiply(add(n1,Y),add(n1,inverse(Y))) != n1
| multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) = multiply(Z,n1) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) = multiply(Z,n1),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),add(n1,inverse(Y))),n1) )],[refute_0_1790,refute_0_1793]) ).
cnf(refute_0_1795,plain,
add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),
introduced(tautology,[refl,[$fot(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))))]]) ).
cnf(refute_0_1796,plain,
( multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) != multiply(Z,n1)
| add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) != add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))
| add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = add(inverse(Y),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) ),[1,1],$fot(multiply(Z,n1))]]) ).
cnf(refute_0_1797,plain,
( multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))) != multiply(Z,n1)
| add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = add(inverse(Y),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = add(inverse(Y),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))),multiply(Z,n1)) )],[refute_0_1794,refute_0_1797]) ).
cnf(refute_0_1799,plain,
( add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) != add(inverse(Y),multiply(Z,n1))
| add(inverse(Y),multiply(Z,n1)) != multiply(n1,add(inverse(Y),Z))
| add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = multiply(n1,add(inverse(Y),Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))))),bind(Y0,$fot(add(inverse(Y),multiply(Z,n1)))),bind(Z0,$fot(multiply(n1,add(inverse(Y),Z))))]]) ).
cnf(refute_0_1800,plain,
( add(inverse(Y),multiply(Z,n1)) != multiply(n1,add(inverse(Y),Z))
| add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = multiply(n1,add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),add(inverse(Y),multiply(Z,n1))) )],[refute_0_1798,refute_0_1799]) ).
cnf(refute_0_1801,plain,
add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) = multiply(n1,add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,n1)),multiply(n1,add(inverse(Y),Z))) )],[refute_0_1778,refute_0_1800]) ).
cnf(refute_0_1802,plain,
( add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))) != multiply(n1,add(inverse(Y),Z))
| pixley(n1,Y,Z) != add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))
| pixley(n1,Y,Z) = multiply(n1,add(inverse(Y),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,Y,Z),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) ),[1],$fot(multiply(n1,add(inverse(Y),Z)))]]) ).
cnf(refute_0_1803,plain,
( pixley(n1,Y,Z) != add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))
| pixley(n1,Y,Z) = multiply(n1,add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y))))),multiply(n1,add(inverse(Y),Z))) )],[refute_0_1801,refute_0_1802]) ).
cnf(refute_0_1804,plain,
pixley(n1,Y,Z) = multiply(n1,add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(pixley(n1,Y,Z),add(inverse(Y),multiply(Z,multiply(add(n1,Y),add(n1,inverse(Y)))))) )],[refute_0_1775,refute_0_1803]) ).
cnf(refute_0_1805,plain,
( pixley(n1,Y,Z) != multiply(n1,add(inverse(Y),Z))
| multiply(n1,add(inverse(Y),Z)) = pixley(n1,Y,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(n1,Y,Z))),bind(Y0,$fot(multiply(n1,add(inverse(Y),Z))))]]) ).
cnf(refute_0_1806,plain,
multiply(n1,add(inverse(Y),Z)) = pixley(n1,Y,Z),
inference(resolve,[$cnf( $equal(pixley(n1,Y,Z),multiply(n1,add(inverse(Y),Z))) )],[refute_0_1804,refute_0_1805]) ).
cnf(refute_0_1807,plain,
multiply(n1,add(inverse(X_203),Z)) = pixley(n1,X_203,Z),
inference(subst,[],[refute_0_1806:[bind(Y,$fot(X_203))]]) ).
cnf(refute_0_1808,plain,
( multiply(n1,add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,n1))
| multiply(n1,add(inverse(X_203),Z)) != pixley(n1,X_203,Z)
| pixley(n1,X_203,Z) = add(inverse(X_203),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,n1))) ),[0],$fot(pixley(n1,X_203,Z))]]) ).
cnf(refute_0_1809,plain,
( multiply(n1,add(inverse(X_203),Z)) != add(inverse(X_203),multiply(Z,n1))
| pixley(n1,X_203,Z) = add(inverse(X_203),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_203),Z)),pixley(n1,X_203,Z)) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
pixley(n1,X_203,Z) = add(inverse(X_203),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(X_203),Z)),add(inverse(X_203),multiply(Z,n1))) )],[refute_0_1748,refute_0_1809]) ).
cnf(refute_0_1811,plain,
( pixley(n1,X_203,Z) != add(inverse(X_203),multiply(Z,n1))
| add(inverse(X_203),multiply(Z,n1)) = pixley(n1,X_203,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(n1,X_203,Z))),bind(Y0,$fot(add(inverse(X_203),multiply(Z,n1))))]]) ).
cnf(refute_0_1812,plain,
add(inverse(X_203),multiply(Z,n1)) = pixley(n1,X_203,Z),
inference(resolve,[$cnf( $equal(pixley(n1,X_203,Z),add(inverse(X_203),multiply(Z,n1))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
add(inverse(n1),multiply(X_55,n1)) = pixley(n1,n1,X_55),
inference(subst,[],[refute_0_1812:[bind(Z,$fot(X_55)),bind(X_203,$fot(n1))]]) ).
cnf(refute_0_1814,plain,
( add(inverse(n1),multiply(X_55,n1)) != pixley(n1,n1,X_55)
| pixley(n1,n1,X_55) != X_55
| add(inverse(n1),multiply(X_55,n1)) = X_55 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(X_55,n1)))),bind(Y0,$fot(pixley(n1,n1,X_55))),bind(Z0,$fot(X_55))]]) ).
cnf(refute_0_1815,plain,
( pixley(n1,n1,X_55) != X_55
| add(inverse(n1),multiply(X_55,n1)) = X_55 ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_55,n1)),pixley(n1,n1,X_55)) )],[refute_0_1813,refute_0_1814]) ).
cnf(refute_0_1816,plain,
add(inverse(n1),multiply(X_55,n1)) = X_55,
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_55),X_55) )],[refute_0_1639,refute_0_1815]) ).
cnf(refute_0_1817,plain,
add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))),
introduced(tautology,[refl,[$fot(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))))]]) ).
cnf(refute_0_1818,plain,
( multiply(X_55,add(n1,inverse(X_55))) != multiply(X_55,n1)
| add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) != add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))
| add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = add(inverse(n1),multiply(X_55,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))),add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))) ),[1,1],$fot(multiply(X_55,n1))]]) ).
cnf(refute_0_1819,plain,
( multiply(X_55,add(n1,inverse(X_55))) != multiply(X_55,n1)
| add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = add(inverse(n1),multiply(X_55,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))),add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = add(inverse(n1),multiply(X_55,n1)),
inference(resolve,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),multiply(X_55,n1)) )],[refute_0_1636,refute_0_1819]) ).
cnf(refute_0_1821,plain,
( add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) != add(inverse(n1),multiply(X_55,n1))
| add(inverse(n1),multiply(X_55,n1)) != X_55
| add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = X_55 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))))),bind(Y0,$fot(add(inverse(n1),multiply(X_55,n1)))),bind(Z0,$fot(X_55))]]) ).
cnf(refute_0_1822,plain,
( add(inverse(n1),multiply(X_55,n1)) != X_55
| add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = X_55 ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))),add(inverse(n1),multiply(X_55,n1))) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) = X_55,
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_55,n1)),X_55) )],[refute_0_1816,refute_0_1822]) ).
cnf(refute_0_1824,plain,
( multiply(X_55,n1) != add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))
| add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))) != X_55
| multiply(X_55,n1) = X_55 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_55,n1),X_55) ),[0],$fot(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))))]]) ).
cnf(refute_0_1825,plain,
( multiply(X_55,n1) != add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))
| multiply(X_55,n1) = X_55 ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_55,add(n1,inverse(X_55)))),X_55) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( multiply(X_55,add(n1,inverse(X_55))) != add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))
| multiply(X_55,n1) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(X_55,n1),add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))) )],[refute_0_1638,refute_0_1825]) ).
cnf(refute_0_1827,plain,
multiply(X_55,n1) = X_55,
inference(resolve,[$cnf( $equal(multiply(X_55,add(n1,inverse(X_55))),add(inverse(n1),multiply(X_55,add(n1,inverse(X_55))))) )],[refute_0_1590,refute_0_1826]) ).
cnf(refute_0_1828,plain,
multiply(X,n1) = X,
inference(subst,[],[refute_0_1827:[bind(X_55,$fot(X))]]) ).
cnf(refute_0_1829,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = add(multiply(Y,add(X_26,X_26)),multiply(multiply(X_26,n1),add(X_26,X_26))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_26,X_26))),bind(Z,$fot(multiply(X_26,n1)))]]) ).
cnf(refute_0_1830,plain,
multiply(multiply(X_26,n1),add(X_26,X_26)) = multiply(n1,add(X_26,X_26)),
inference(subst,[],[refute_0_173:[bind(X_24,$fot(X_26))]]) ).
cnf(refute_0_1831,plain,
( multiply(multiply(X_26,n1),add(X_26,X_26)) != multiply(n1,add(X_26,X_26))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != add(multiply(Y,add(X_26,X_26)),multiply(multiply(X_26,n1),add(X_26,X_26)))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),add(multiply(Y,add(X_26,X_26)),multiply(multiply(X_26,n1),add(X_26,X_26)))) ),[1,1],$fot(multiply(n1,add(X_26,X_26)))]]) ).
cnf(refute_0_1832,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != add(multiply(Y,add(X_26,X_26)),multiply(multiply(X_26,n1),add(X_26,X_26)))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(n1,add(X_26,X_26))) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),add(multiply(Y,add(X_26,X_26)),multiply(multiply(X_26,n1),add(X_26,X_26)))) )],[refute_0_1829,refute_0_1832]) ).
cnf(refute_0_1834,plain,
add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))) = multiply(add(X_26,X_26),add(Y,n1)),
inference(subst,[],[refute_0_4:[bind(X,$fot(add(X_26,X_26))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_1835,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26)))
| add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))) != multiply(add(X_26,X_26),add(Y,n1))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),add(Y,n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(add(X_26,X_26),add(Y,n1))) ),[0],$fot(add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))))]]) ).
cnf(refute_0_1836,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26)))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),add(Y,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26))),multiply(add(X_26,X_26),add(Y,n1))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),add(Y,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),add(multiply(Y,add(X_26,X_26)),multiply(n1,add(X_26,X_26)))) )],[refute_0_1833,refute_0_1836]) ).
cnf(refute_0_1838,plain,
multiply(add(X_26,X_26),add(Y,n1)) = multiply(add(X_26,X_26),add(Y,n1)),
introduced(tautology,[refl,[$fot(multiply(add(X_26,X_26),add(Y,n1)))]]) ).
cnf(refute_0_1839,plain,
( multiply(add(X_26,X_26),add(Y,n1)) != multiply(add(X_26,X_26),add(Y,n1))
| add(Y,n1) != n1
| multiply(add(X_26,X_26),add(Y,n1)) = multiply(add(X_26,X_26),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,n1)),multiply(add(X_26,X_26),add(Y,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1840,plain,
( add(Y,n1) != n1
| multiply(add(X_26,X_26),add(Y,n1)) = multiply(add(X_26,X_26),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,n1)),multiply(add(X_26,X_26),add(Y,n1))) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
multiply(add(X_26,X_26),add(Y,n1)) = multiply(add(X_26,X_26),n1),
inference(resolve,[$cnf( $equal(add(Y,n1),n1) )],[refute_0_1501,refute_0_1840]) ).
cnf(refute_0_1842,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(add(X_26,X_26),add(Y,n1))
| multiply(add(X_26,X_26),add(Y,n1)) != multiply(add(X_26,X_26),n1)
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(add(X_26,X_26),n1)) ),[0],$fot(multiply(add(X_26,X_26),add(Y,n1)))]]) ).
cnf(refute_0_1843,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(add(X_26,X_26),add(Y,n1))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,n1)),multiply(add(X_26,X_26),n1)) )],[refute_0_1841,refute_0_1842]) ).
cnf(refute_0_1844,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),n1),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(add(X_26,X_26),add(Y,n1))) )],[refute_0_1837,refute_0_1843]) ).
cnf(refute_0_1845,plain,
multiply(add(X_26,X_26),n1) = multiply(n1,add(X_26,X_26)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(add(X_26,X_26)))]]) ).
cnf(refute_0_1846,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(add(X_26,X_26),n1)
| multiply(add(X_26,X_26),n1) != multiply(n1,add(X_26,X_26))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(n1,add(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(n1,add(X_26,X_26))) ),[0],$fot(multiply(add(X_26,X_26),n1))]]) ).
cnf(refute_0_1847,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(add(X_26,X_26),n1)
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(n1,add(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),n1),multiply(n1,add(X_26,X_26))) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(n1,add(X_26,X_26)),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(add(X_26,X_26),n1)) )],[refute_0_1844,refute_0_1847]) ).
cnf(refute_0_1849,plain,
add(X_26,X_26) = X_26,
inference(subst,[],[refute_0_1536:[bind(Z,$fot(X_26))]]) ).
cnf(refute_0_1850,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),
introduced(tautology,[refl,[$fot(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))))]]) ).
cnf(refute_0_1851,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(add(X_26,X_26),add(Y,multiply(X_26,n1)))
| add(X_26,X_26) != X_26
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,multiply(X_26,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(add(X_26,X_26),add(Y,multiply(X_26,n1)))) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_1852,plain,
( add(X_26,X_26) != X_26
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,multiply(X_26,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(add(X_26,X_26),add(Y,multiply(X_26,n1)))) )],[refute_0_1850,refute_0_1851]) ).
cnf(refute_0_1853,plain,
multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,multiply(X_26,n1))),
inference(resolve,[$cnf( $equal(add(X_26,X_26),X_26) )],[refute_0_1849,refute_0_1852]) ).
cnf(refute_0_1854,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(X_26,add(Y,multiply(X_26,n1)))
| multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(n1,add(X_26,X_26))
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(n1,add(X_26,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(n1,add(X_26,X_26))) ),[0],$fot(multiply(X_26,add(Y,multiply(X_26,n1))))]]) ).
cnf(refute_0_1855,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(n1,add(X_26,X_26))
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(n1,add(X_26,X_26)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(X_26,add(Y,multiply(X_26,n1)))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
multiply(n1,add(X_26,X_26)) = multiply(n1,add(X_26,X_26)),
introduced(tautology,[refl,[$fot(multiply(n1,add(X_26,X_26)))]]) ).
cnf(refute_0_1857,plain,
( multiply(n1,add(X_26,X_26)) != multiply(n1,add(X_26,X_26))
| add(X_26,X_26) != X_26
| multiply(n1,add(X_26,X_26)) = multiply(n1,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(X_26,X_26)),multiply(n1,add(X_26,X_26))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_1858,plain,
( add(X_26,X_26) != X_26
| multiply(n1,add(X_26,X_26)) = multiply(n1,X_26) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_26,X_26)),multiply(n1,add(X_26,X_26))) )],[refute_0_1856,refute_0_1857]) ).
cnf(refute_0_1859,plain,
multiply(n1,add(X_26,X_26)) = multiply(n1,X_26),
inference(resolve,[$cnf( $equal(add(X_26,X_26),X_26) )],[refute_0_1849,refute_0_1858]) ).
cnf(refute_0_1860,plain,
( multiply(X_26,add(Y,multiply(X_26,n1))) != multiply(n1,add(X_26,X_26))
| multiply(n1,add(X_26,X_26)) != multiply(n1,X_26)
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(n1,X_26) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(n1,X_26)) ),[0],$fot(multiply(n1,add(X_26,X_26)))]]) ).
cnf(refute_0_1861,plain,
( multiply(X_26,add(Y,multiply(X_26,n1))) != multiply(n1,add(X_26,X_26))
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(n1,X_26) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_26,X_26)),multiply(n1,X_26)) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
( multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))) != multiply(n1,add(X_26,X_26))
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(n1,X_26) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(n1,add(X_26,X_26))) )],[refute_0_1855,refute_0_1861]) ).
cnf(refute_0_1863,plain,
multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(n1,X_26),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(Y,multiply(X_26,n1))),multiply(n1,add(X_26,X_26))) )],[refute_0_1848,refute_0_1862]) ).
cnf(refute_0_1864,plain,
multiply(X_26,add(Y,X_26)) = X_26,
inference(subst,[],[refute_0_1549:[bind(X,$fot(Y)),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_1865,plain,
multiply(X_26,n1) = X_26,
inference(subst,[],[refute_0_1827:[bind(X_55,$fot(X_26))]]) ).
cnf(refute_0_1866,plain,
add(Y,multiply(X_26,n1)) = add(Y,multiply(X_26,n1)),
introduced(tautology,[refl,[$fot(add(Y,multiply(X_26,n1)))]]) ).
cnf(refute_0_1867,plain,
( multiply(X_26,n1) != X_26
| add(Y,multiply(X_26,n1)) != add(Y,multiply(X_26,n1))
| add(Y,multiply(X_26,n1)) = add(Y,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(X_26,n1)),add(Y,multiply(X_26,n1))) ),[1,1],$fot(X_26)]]) ).
cnf(refute_0_1868,plain,
( multiply(X_26,n1) != X_26
| add(Y,multiply(X_26,n1)) = add(Y,X_26) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_26,n1)),add(Y,multiply(X_26,n1))) )],[refute_0_1866,refute_0_1867]) ).
cnf(refute_0_1869,plain,
add(Y,multiply(X_26,n1)) = add(Y,X_26),
inference(resolve,[$cnf( $equal(multiply(X_26,n1),X_26) )],[refute_0_1865,refute_0_1868]) ).
cnf(refute_0_1870,plain,
multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,multiply(X_26,n1))),
introduced(tautology,[refl,[$fot(multiply(X_26,add(Y,multiply(X_26,n1))))]]) ).
cnf(refute_0_1871,plain,
( multiply(X_26,add(Y,multiply(X_26,n1))) != multiply(X_26,add(Y,multiply(X_26,n1)))
| add(Y,multiply(X_26,n1)) != add(Y,X_26)
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(X_26,add(Y,multiply(X_26,n1)))) ),[1,1],$fot(add(Y,X_26))]]) ).
cnf(refute_0_1872,plain,
( add(Y,multiply(X_26,n1)) != add(Y,X_26)
| multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,X_26)) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(X_26,add(Y,multiply(X_26,n1)))) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
multiply(X_26,add(Y,multiply(X_26,n1))) = multiply(X_26,add(Y,X_26)),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_26,n1)),add(Y,X_26)) )],[refute_0_1869,refute_0_1872]) ).
cnf(refute_0_1874,plain,
( multiply(X_26,add(Y,X_26)) != X_26
| multiply(X_26,add(Y,multiply(X_26,n1))) != multiply(X_26,add(Y,X_26))
| multiply(X_26,add(Y,multiply(X_26,n1))) = X_26 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_26,add(Y,multiply(X_26,n1))))),bind(Y0,$fot(multiply(X_26,add(Y,X_26)))),bind(Z0,$fot(X_26))]]) ).
cnf(refute_0_1875,plain,
( multiply(X_26,add(Y,X_26)) != X_26
| multiply(X_26,add(Y,multiply(X_26,n1))) = X_26 ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(X_26,add(Y,X_26))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
multiply(X_26,add(Y,multiply(X_26,n1))) = X_26,
inference(resolve,[$cnf( $equal(multiply(X_26,add(Y,X_26)),X_26) )],[refute_0_1864,refute_0_1875]) ).
cnf(refute_0_1877,plain,
( multiply(X_26,add(Y,multiply(X_26,n1))) != X_26
| multiply(X_26,add(Y,multiply(X_26,n1))) != multiply(n1,X_26)
| X_26 = multiply(n1,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(n1,X_26)) ),[0],$fot(X_26)]]) ).
cnf(refute_0_1878,plain,
( multiply(X_26,add(Y,multiply(X_26,n1))) != multiply(n1,X_26)
| X_26 = multiply(n1,X_26) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),X_26) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
X_26 = multiply(n1,X_26),
inference(resolve,[$cnf( $equal(multiply(X_26,add(Y,multiply(X_26,n1))),multiply(n1,X_26)) )],[refute_0_1863,refute_0_1878]) ).
cnf(refute_0_1880,plain,
( X_26 != multiply(n1,X_26)
| multiply(n1,X_26) = X_26 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_26)),bind(Y0,$fot(multiply(n1,X_26)))]]) ).
cnf(refute_0_1881,plain,
multiply(n1,X_26) = X_26,
inference(resolve,[$cnf( $equal(X_26,multiply(n1,X_26)) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
multiply(n1,multiply(X,n1)) = multiply(X,n1),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(multiply(X,n1)))]]) ).
cnf(refute_0_1883,plain,
( multiply(X,n1) != X
| multiply(n1,multiply(X,n1)) != multiply(X,n1)
| multiply(n1,multiply(X,n1)) = X ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(n1,multiply(X,n1)))),bind(Y0,$fot(multiply(X,n1))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_1884,plain,
( multiply(X,n1) != X
| multiply(n1,multiply(X,n1)) = X ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(X,n1)),multiply(X,n1)) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
multiply(n1,multiply(X,n1)) = X,
inference(resolve,[$cnf( $equal(multiply(X,n1),X) )],[refute_0_1828,refute_0_1884]) ).
cnf(refute_0_1886,plain,
add(inverse(n1),multiply(n1,multiply(X,n1))) = add(inverse(n1),multiply(n1,multiply(X,n1))),
introduced(tautology,[refl,[$fot(add(inverse(n1),multiply(n1,multiply(X,n1))))]]) ).
cnf(refute_0_1887,plain,
( multiply(n1,multiply(X,n1)) != X
| add(inverse(n1),multiply(n1,multiply(X,n1))) != add(inverse(n1),multiply(n1,multiply(X,n1)))
| add(inverse(n1),multiply(n1,multiply(X,n1))) = add(inverse(n1),X) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),multiply(n1,multiply(X,n1))),add(inverse(n1),multiply(n1,multiply(X,n1)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_1888,plain,
( multiply(n1,multiply(X,n1)) != X
| add(inverse(n1),multiply(n1,multiply(X,n1))) = add(inverse(n1),X) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(n1,multiply(X,n1))),add(inverse(n1),multiply(n1,multiply(X,n1)))) )],[refute_0_1886,refute_0_1887]) ).
cnf(refute_0_1889,plain,
add(inverse(n1),multiply(n1,multiply(X,n1))) = add(inverse(n1),X),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(X,n1)),X) )],[refute_0_1885,refute_0_1888]) ).
cnf(refute_0_1890,plain,
multiply(inverse(n1),multiply(X_55,add(inverse(n1),inverse(X_55)))) = multiply(X_55,add(inverse(n1),inverse(X_55))),
inference(subst,[],[refute_0_582:[bind(X_53,$fot(inverse(n1)))]]) ).
cnf(refute_0_1891,plain,
inverse(X) = add(inverse(n1),multiply(n1,inverse(X))),
inference(subst,[],[refute_0_1585:[bind(X_14,$fot(inverse(X)))]]) ).
cnf(refute_0_1892,plain,
( multiply(n1,inverse(X)) != inverse(X)
| inverse(X) != add(inverse(n1),multiply(n1,inverse(X)))
| inverse(X) = add(inverse(n1),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),add(inverse(n1),multiply(n1,inverse(X)))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_1893,plain,
( inverse(X) != add(inverse(n1),multiply(n1,inverse(X)))
| inverse(X) = add(inverse(n1),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_32,refute_0_1892]) ).
cnf(refute_0_1894,plain,
inverse(X) = add(inverse(n1),inverse(X)),
inference(resolve,[$cnf( $equal(inverse(X),add(inverse(n1),multiply(n1,inverse(X)))) )],[refute_0_1891,refute_0_1893]) ).
cnf(refute_0_1895,plain,
inverse(X_55) = add(inverse(n1),inverse(X_55)),
inference(subst,[],[refute_0_1894:[bind(X,$fot(X_55))]]) ).
cnf(refute_0_1896,plain,
( inverse(X_55) != add(inverse(n1),inverse(X_55))
| add(inverse(n1),inverse(X_55)) = inverse(X_55) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_55))),bind(Y0,$fot(add(inverse(n1),inverse(X_55))))]]) ).
cnf(refute_0_1897,plain,
add(inverse(n1),inverse(X_55)) = inverse(X_55),
inference(resolve,[$cnf( $equal(inverse(X_55),add(inverse(n1),inverse(X_55))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( multiply(inverse(n1),multiply(X_55,add(inverse(n1),inverse(X_55)))) != multiply(X_55,add(inverse(n1),inverse(X_55)))
| add(inverse(n1),inverse(X_55)) != inverse(X_55)
| multiply(inverse(n1),multiply(X_55,inverse(X_55))) = multiply(X_55,add(inverse(n1),inverse(X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,add(inverse(n1),inverse(X_55)))),multiply(X_55,add(inverse(n1),inverse(X_55)))) ),[0,1,1],$fot(inverse(X_55))]]) ).
cnf(refute_0_1899,plain,
( multiply(inverse(n1),multiply(X_55,add(inverse(n1),inverse(X_55)))) != multiply(X_55,add(inverse(n1),inverse(X_55)))
| multiply(inverse(n1),multiply(X_55,inverse(X_55))) = multiply(X_55,add(inverse(n1),inverse(X_55))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(X_55)),inverse(X_55)) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
multiply(inverse(n1),multiply(X_55,inverse(X_55))) = multiply(X_55,add(inverse(n1),inverse(X_55))),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,add(inverse(n1),inverse(X_55)))),multiply(X_55,add(inverse(n1),inverse(X_55)))) )],[refute_0_1890,refute_0_1899]) ).
cnf(refute_0_1901,plain,
multiply(X_55,add(inverse(n1),inverse(X_55))) = multiply(X_55,add(inverse(n1),inverse(X_55))),
introduced(tautology,[refl,[$fot(multiply(X_55,add(inverse(n1),inverse(X_55))))]]) ).
cnf(refute_0_1902,plain,
( multiply(X_55,add(inverse(n1),inverse(X_55))) != multiply(X_55,add(inverse(n1),inverse(X_55)))
| add(inverse(n1),inverse(X_55)) != inverse(X_55)
| multiply(X_55,add(inverse(n1),inverse(X_55))) = multiply(X_55,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,add(inverse(n1),inverse(X_55))),multiply(X_55,add(inverse(n1),inverse(X_55)))) ),[1,1],$fot(inverse(X_55))]]) ).
cnf(refute_0_1903,plain,
( add(inverse(n1),inverse(X_55)) != inverse(X_55)
| multiply(X_55,add(inverse(n1),inverse(X_55))) = multiply(X_55,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(inverse(n1),inverse(X_55))),multiply(X_55,add(inverse(n1),inverse(X_55)))) )],[refute_0_1901,refute_0_1902]) ).
cnf(refute_0_1904,plain,
multiply(X_55,add(inverse(n1),inverse(X_55))) = multiply(X_55,inverse(X_55)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(X_55)),inverse(X_55)) )],[refute_0_1897,refute_0_1903]) ).
cnf(refute_0_1905,plain,
( multiply(X_55,add(inverse(n1),inverse(X_55))) != multiply(X_55,inverse(X_55))
| multiply(inverse(n1),multiply(X_55,inverse(X_55))) != multiply(X_55,add(inverse(n1),inverse(X_55)))
| multiply(inverse(n1),multiply(X_55,inverse(X_55))) = multiply(X_55,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,inverse(X_55))),multiply(X_55,add(inverse(n1),inverse(X_55)))) ),[1],$fot(multiply(X_55,inverse(X_55)))]]) ).
cnf(refute_0_1906,plain,
( multiply(inverse(n1),multiply(X_55,inverse(X_55))) != multiply(X_55,add(inverse(n1),inverse(X_55)))
| multiply(inverse(n1),multiply(X_55,inverse(X_55))) = multiply(X_55,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(inverse(n1),inverse(X_55))),multiply(X_55,inverse(X_55))) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
multiply(inverse(n1),multiply(X_55,inverse(X_55))) = multiply(X_55,inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,inverse(X_55))),multiply(X_55,add(inverse(n1),inverse(X_55)))) )],[refute_0_1900,refute_0_1906]) ).
cnf(refute_0_1908,plain,
multiply(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))) = multiply(multiply(X_12,n1),inverse(n1)),
inference(subst,[],[refute_0_447:[bind(X_58,$fot(inverse(n1)))]]) ).
cnf(refute_0_1909,plain,
multiply(X_53,multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),
inference(subst,[],[refute_0_582:[bind(X_55,$fot(inverse(n1)))]]) ).
cnf(refute_0_1910,plain,
( multiply(X_53,multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| inverse(inverse(n1)) != n1
| multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,multiply(inverse(n1),add(X_53,inverse(inverse(n1))))),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) ),[0,1,1,1],$fot(n1)]]) ).
cnf(refute_0_1911,plain,
( multiply(X_53,multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_1910]) ).
cnf(refute_0_1912,plain,
multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(n1),add(X_53,inverse(inverse(n1))))),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) )],[refute_0_1909,refute_0_1911]) ).
cnf(refute_0_1913,plain,
multiply(X_53,add(inverse(n1),inverse(n1))) = multiply(X_53,add(inverse(n1),inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(X_53,add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_1914,plain,
( multiply(X_53,add(inverse(n1),inverse(n1))) != multiply(X_53,add(inverse(n1),inverse(n1)))
| add(inverse(n1),inverse(n1)) != inverse(n1)
| multiply(X_53,add(inverse(n1),inverse(n1))) = multiply(X_53,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,add(inverse(n1),inverse(n1))),multiply(X_53,add(inverse(n1),inverse(n1)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_1915,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| multiply(X_53,add(inverse(n1),inverse(n1))) = multiply(X_53,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_53,add(inverse(n1),inverse(n1))),multiply(X_53,add(inverse(n1),inverse(n1)))) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
multiply(X_53,add(inverse(n1),inverse(n1))) = multiply(X_53,inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_536,refute_0_1915]) ).
cnf(refute_0_1917,plain,
( multiply(X_55,add(inverse(X_54),inverse(X_54))) != multiply(X_55,multiply(inverse(X_54),add(X,n1)))
| multiply(X_55,multiply(inverse(X_54),add(X,n1))) = multiply(X_55,add(inverse(X_54),inverse(X_54))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_55,add(inverse(X_54),inverse(X_54))))),bind(Y0,$fot(multiply(X_55,multiply(inverse(X_54),add(X,n1)))))]]) ).
cnf(refute_0_1918,plain,
multiply(X_55,multiply(inverse(X_54),add(X,n1))) = multiply(X_55,add(inverse(X_54),inverse(X_54))),
inference(resolve,[$cnf( $equal(multiply(X_55,add(inverse(X_54),inverse(X_54))),multiply(X_55,multiply(inverse(X_54),add(X,n1)))) )],[refute_0_136,refute_0_1917]) ).
cnf(refute_0_1919,plain,
multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(X_53,add(inverse(n1),inverse(n1))),
inference(subst,[],[refute_0_1918:[bind(X,$fot(X_53)),bind(X_54,$fot(n1)),bind(X_55,$fot(X_53))]]) ).
cnf(refute_0_1920,plain,
( multiply(X_53,multiply(inverse(n1),add(X_53,n1))) != multiply(X_53,add(inverse(n1),inverse(n1)))
| multiply(X_53,add(inverse(n1),inverse(n1))) != multiply(X_53,inverse(n1))
| multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(X_53,inverse(n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_53,multiply(inverse(n1),add(X_53,n1))))),bind(Y0,$fot(multiply(X_53,add(inverse(n1),inverse(n1))))),bind(Z0,$fot(multiply(X_53,inverse(n1))))]]) ).
cnf(refute_0_1921,plain,
( multiply(X_53,add(inverse(n1),inverse(n1))) != multiply(X_53,inverse(n1))
| multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(X_53,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(n1),add(X_53,n1))),multiply(X_53,add(inverse(n1),inverse(n1)))) )],[refute_0_1919,refute_0_1920]) ).
cnf(refute_0_1922,plain,
multiply(X_53,multiply(inverse(n1),add(X_53,n1))) = multiply(X_53,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(X_53,add(inverse(n1),inverse(n1))),multiply(X_53,inverse(n1))) )],[refute_0_1916,refute_0_1921]) ).
cnf(refute_0_1923,plain,
( multiply(X_53,multiply(inverse(n1),add(X_53,n1))) != multiply(X_53,inverse(n1))
| multiply(X_53,multiply(inverse(n1),add(X_53,n1))) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| multiply(X_53,inverse(n1)) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,multiply(inverse(n1),add(X_53,n1))),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) ),[0],$fot(multiply(X_53,inverse(n1)))]]) ).
cnf(refute_0_1924,plain,
( multiply(X_53,multiply(inverse(n1),add(X_53,n1))) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| multiply(X_53,inverse(n1)) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) ),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(n1),add(X_53,n1))),multiply(X_53,inverse(n1))) )],[refute_0_1922,refute_0_1923]) ).
cnf(refute_0_1925,plain,
multiply(inverse(n1),add(X_53,n1)) = add(inverse(n1),inverse(n1)),
inference(subst,[],[refute_0_401:[bind(X_112,$fot(X_53)),bind(X_113,$fot(n1))]]) ).
cnf(refute_0_1926,plain,
( multiply(inverse(n1),add(X_53,n1)) != add(inverse(n1),inverse(n1))
| add(inverse(n1),inverse(n1)) != inverse(n1)
| multiply(inverse(n1),add(X_53,n1)) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(X_53,n1)))),bind(Y0,$fot(add(inverse(n1),inverse(n1)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_1927,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| multiply(inverse(n1),add(X_53,n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_53,n1)),add(inverse(n1),inverse(n1))) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
multiply(inverse(n1),add(X_53,n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_536,refute_0_1927]) ).
cnf(refute_0_1929,plain,
add(X_53,inverse(inverse(n1))) = add(X_53,inverse(inverse(n1))),
introduced(tautology,[refl,[$fot(add(X_53,inverse(inverse(n1))))]]) ).
cnf(refute_0_1930,plain,
( add(X_53,inverse(inverse(n1))) != add(X_53,inverse(inverse(n1)))
| inverse(inverse(n1)) != n1
| add(X_53,inverse(inverse(n1))) = add(X_53,n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_53,inverse(inverse(n1))),add(X_53,inverse(inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_1931,plain,
( inverse(inverse(n1)) != n1
| add(X_53,inverse(inverse(n1))) = add(X_53,n1) ),
inference(resolve,[$cnf( $equal(add(X_53,inverse(inverse(n1))),add(X_53,inverse(inverse(n1)))) )],[refute_0_1929,refute_0_1930]) ).
cnf(refute_0_1932,plain,
add(X_53,inverse(inverse(n1))) = add(X_53,n1),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_1931]) ).
cnf(refute_0_1933,plain,
multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),
introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))))]]) ).
cnf(refute_0_1934,plain,
( multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| add(X_53,inverse(inverse(n1))) != add(X_53,n1)
| multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = multiply(inverse(n1),add(X_53,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) ),[1,1],$fot(add(X_53,n1))]]) ).
cnf(refute_0_1935,plain,
( add(X_53,inverse(inverse(n1))) != add(X_53,n1)
| multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = multiply(inverse(n1),add(X_53,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) )],[refute_0_1933,refute_0_1934]) ).
cnf(refute_0_1936,plain,
multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = multiply(inverse(n1),add(X_53,n1)),
inference(resolve,[$cnf( $equal(add(X_53,inverse(inverse(n1))),add(X_53,n1)) )],[refute_0_1932,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) != multiply(inverse(n1),add(X_53,n1))
| multiply(inverse(n1),add(X_53,n1)) != inverse(n1)
| multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))))),bind(Y0,$fot(multiply(inverse(n1),add(X_53,n1)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_1938,plain,
( multiply(inverse(n1),add(X_53,n1)) != inverse(n1)
| multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),multiply(inverse(n1),add(X_53,n1))) )],[refute_0_1936,refute_0_1937]) ).
cnf(refute_0_1939,plain,
multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_53,n1)),inverse(n1)) )],[refute_0_1928,refute_0_1938]) ).
cnf(refute_0_1940,plain,
( multiply(X_53,inverse(n1)) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| multiply(inverse(n1),add(X_53,inverse(inverse(n1)))) != inverse(n1)
| multiply(X_53,inverse(n1)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_53,inverse(n1)),inverse(n1)) ),[0],$fot(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))))]]) ).
cnf(refute_0_1941,plain,
( multiply(X_53,inverse(n1)) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| multiply(X_53,inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_53,inverse(inverse(n1)))),inverse(n1)) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
( multiply(X_53,multiply(inverse(n1),add(X_53,n1))) != multiply(inverse(n1),add(X_53,inverse(inverse(n1))))
| multiply(X_53,inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(n1)),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) )],[refute_0_1924,refute_0_1941]) ).
cnf(refute_0_1943,plain,
multiply(X_53,inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(n1),add(X_53,n1))),multiply(inverse(n1),add(X_53,inverse(inverse(n1))))) )],[refute_0_1912,refute_0_1942]) ).
cnf(refute_0_1944,plain,
multiply(multiply(X_12,n1),inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_1943:[bind(X_53,$fot(multiply(X_12,n1)))]]) ).
cnf(refute_0_1945,plain,
( multiply(multiply(X_12,n1),inverse(n1)) != inverse(n1)
| multiply(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(multiply(X_12,n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))),multiply(multiply(X_12,n1),inverse(n1))) ),[0,1],$fot(inverse(n1))]]) ).
cnf(refute_0_1946,plain,
( multiply(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(multiply(X_12,n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),inverse(n1)),inverse(n1)) )],[refute_0_1944,refute_0_1945]) ).
cnf(refute_0_1947,plain,
multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(multiply(X_12,n1),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))),multiply(multiply(X_12,n1),inverse(n1))) )],[refute_0_1908,refute_0_1946]) ).
cnf(refute_0_1948,plain,
multiply(multiply(X_21,add(inverse(n1),inverse(n1))),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21),
inference(subst,[],[refute_0_236:[bind(X_22,$fot(inverse(n1))),bind(X_23,$fot(inverse(n1)))]]) ).
cnf(refute_0_1949,plain,
( multiply(multiply(X_21,add(inverse(n1),inverse(n1))),multiply(inverse(n1),X_21)) != multiply(inverse(n1),X_21)
| add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
| multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,add(inverse(n1),inverse(n1))),multiply(inverse(n1),X_21)),multiply(inverse(n1),X_21)) ),[0,0,1],$fot(multiply(inverse(n1),n1))]]) ).
cnf(refute_0_1950,plain,
( multiply(multiply(X_21,add(inverse(n1),inverse(n1))),multiply(inverse(n1),X_21)) != multiply(inverse(n1),X_21)
| multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_516,refute_0_1949]) ).
cnf(refute_0_1951,plain,
multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,add(inverse(n1),inverse(n1))),multiply(inverse(n1),X_21)),multiply(inverse(n1),X_21)) )],[refute_0_1948,refute_0_1950]) ).
cnf(refute_0_1952,plain,
multiply(X_21,multiply(inverse(n1),n1)) = multiply(X_21,multiply(inverse(n1),n1)),
introduced(tautology,[refl,[$fot(multiply(X_21,multiply(inverse(n1),n1)))]]) ).
cnf(refute_0_1953,plain,
( multiply(X_21,multiply(inverse(n1),n1)) != multiply(X_21,multiply(inverse(n1),n1))
| multiply(inverse(n1),n1) != inverse(n1)
| multiply(X_21,multiply(inverse(n1),n1)) = multiply(X_21,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,multiply(inverse(n1),n1)),multiply(X_21,multiply(inverse(n1),n1))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_1954,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| multiply(X_21,multiply(inverse(n1),n1)) = multiply(X_21,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(inverse(n1),n1)),multiply(X_21,multiply(inverse(n1),n1))) )],[refute_0_1952,refute_0_1953]) ).
cnf(refute_0_1955,plain,
multiply(X_21,multiply(inverse(n1),n1)) = multiply(X_21,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_1954]) ).
cnf(refute_0_1956,plain,
multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)))]]) ).
cnf(refute_0_1957,plain,
( multiply(X_21,multiply(inverse(n1),n1)) != multiply(X_21,inverse(n1))
| multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) != multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21))
| multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)),multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21))) ),[1,0],$fot(multiply(X_21,inverse(n1)))]]) ).
cnf(refute_0_1958,plain,
( multiply(X_21,multiply(inverse(n1),n1)) != multiply(X_21,inverse(n1))
| multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)),multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21))) )],[refute_0_1956,refute_0_1957]) ).
cnf(refute_0_1959,plain,
multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) = multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(inverse(n1),n1)),multiply(X_21,inverse(n1))) )],[refute_0_1955,refute_0_1958]) ).
cnf(refute_0_1960,plain,
( multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) != multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21))
| multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) != multiply(inverse(n1),X_21)
| multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)),multiply(inverse(n1),X_21)) ),[0],$fot(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)))]]) ).
cnf(refute_0_1961,plain,
( multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)) != multiply(inverse(n1),X_21)
| multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)),multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21))) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,multiply(inverse(n1),n1)),multiply(inverse(n1),X_21)),multiply(inverse(n1),X_21)) )],[refute_0_1951,refute_0_1961]) ).
cnf(refute_0_1963,plain,
multiply(X_21,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_1943:[bind(X_53,$fot(X_21))]]) ).
cnf(refute_0_1964,plain,
multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)))]]) ).
cnf(refute_0_1965,plain,
( multiply(X_21,inverse(n1)) != inverse(n1)
| multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) != multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21))
| multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),multiply(inverse(n1),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_1966,plain,
( multiply(X_21,inverse(n1)) != inverse(n1)
| multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),multiply(inverse(n1),X_21)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21))) )],[refute_0_1964,refute_0_1965]) ).
cnf(refute_0_1967,plain,
multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) = multiply(inverse(n1),multiply(inverse(n1),X_21)),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(n1)),inverse(n1)) )],[refute_0_1963,refute_0_1966]) ).
cnf(refute_0_1968,plain,
( multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) != multiply(inverse(n1),X_21)
| multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) != multiply(inverse(n1),multiply(inverse(n1),X_21))
| multiply(inverse(n1),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),multiply(inverse(n1),X_21)) ),[0],$fot(multiply(inverse(n1),multiply(inverse(n1),X_21)))]]) ).
cnf(refute_0_1969,plain,
( multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)) != multiply(inverse(n1),X_21)
| multiply(inverse(n1),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),multiply(inverse(n1),multiply(inverse(n1),X_21))) )],[refute_0_1967,refute_0_1968]) ).
cnf(refute_0_1970,plain,
multiply(inverse(n1),multiply(inverse(n1),X_21)) = multiply(inverse(n1),X_21),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,inverse(n1)),multiply(inverse(n1),X_21)),multiply(inverse(n1),X_21)) )],[refute_0_1962,refute_0_1969]) ).
cnf(refute_0_1971,plain,
multiply(inverse(n1),multiply(inverse(n1),X_12)) = multiply(inverse(n1),X_12),
inference(subst,[],[refute_0_1970:[bind(X_21,$fot(X_12))]]) ).
cnf(refute_0_1972,plain,
multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(inverse(n1),multiply(inverse(n1),X_12)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(inverse(n1))),bind(Z,$fot(multiply(inverse(n1),X_12)))]]) ).
cnf(refute_0_1973,plain,
( multiply(multiply(inverse(n1),X_12),inverse(n1)) != multiply(inverse(n1),multiply(inverse(n1),X_12))
| multiply(inverse(n1),multiply(inverse(n1),X_12)) != multiply(inverse(n1),X_12)
| multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(inverse(n1),X_12) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(inverse(n1),X_12),inverse(n1)))),bind(Y0,$fot(multiply(inverse(n1),multiply(inverse(n1),X_12)))),bind(Z0,$fot(multiply(inverse(n1),X_12)))]]) ).
cnf(refute_0_1974,plain,
( multiply(inverse(n1),multiply(inverse(n1),X_12)) != multiply(inverse(n1),X_12)
| multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(inverse(n1),X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),X_12),inverse(n1)),multiply(inverse(n1),multiply(inverse(n1),X_12))) )],[refute_0_1972,refute_0_1973]) ).
cnf(refute_0_1975,plain,
multiply(multiply(inverse(n1),X_12),inverse(n1)) = multiply(inverse(n1),X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),X_12)),multiply(inverse(n1),X_12)) )],[refute_0_1971,refute_0_1974]) ).
cnf(refute_0_1976,plain,
( multiply(multiply(inverse(n1),X_12),inverse(n1)) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(multiply(inverse(n1),X_12),inverse(n1)) != multiply(inverse(n1),X_12)
| multiply(inverse(n1),X_12) = multiply(multiply(X_12,n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(n1),X_12),inverse(n1)),multiply(multiply(X_12,n1),inverse(n1))) ),[0],$fot(multiply(inverse(n1),X_12))]]) ).
cnf(refute_0_1977,plain,
( multiply(multiply(inverse(n1),X_12),inverse(n1)) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(inverse(n1),X_12) = multiply(multiply(X_12,n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),X_12),inverse(n1)),multiply(inverse(n1),X_12)) )],[refute_0_1975,refute_0_1976]) ).
cnf(refute_0_1978,plain,
( multiply(multiply(X_12,n1),inverse(n1)) != inverse(n1)
| multiply(inverse(n1),X_12) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(inverse(n1),X_12) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))) ),[1],$fot(inverse(n1))]]) ).
cnf(refute_0_1979,plain,
( multiply(inverse(n1),X_12) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(inverse(n1),X_12) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),inverse(n1)),inverse(n1)) )],[refute_0_1944,refute_0_1978]) ).
cnf(refute_0_1980,plain,
( multiply(multiply(inverse(n1),X_12),inverse(n1)) != multiply(multiply(X_12,n1),inverse(n1))
| multiply(inverse(n1),X_12) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),X_12),multiply(multiply(X_12,n1),inverse(n1))) )],[refute_0_1977,refute_0_1979]) ).
cnf(refute_0_1981,plain,
multiply(inverse(n1),X_12) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),X_12),inverse(n1)),multiply(multiply(X_12,n1),inverse(n1))) )],[refute_0_1947,refute_0_1980]) ).
cnf(refute_0_1982,plain,
multiply(inverse(n1),multiply(X_55,inverse(X_55))) = inverse(n1),
inference(subst,[],[refute_0_1981:[bind(X_12,$fot(multiply(X_55,inverse(X_55))))]]) ).
cnf(refute_0_1983,plain,
( multiply(inverse(n1),multiply(X_55,inverse(X_55))) != multiply(X_55,inverse(X_55))
| multiply(inverse(n1),multiply(X_55,inverse(X_55))) != inverse(n1)
| inverse(n1) = multiply(X_55,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,inverse(X_55))),multiply(X_55,inverse(X_55))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_1984,plain,
( multiply(inverse(n1),multiply(X_55,inverse(X_55))) != multiply(X_55,inverse(X_55))
| inverse(n1) = multiply(X_55,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,inverse(X_55))),inverse(n1)) )],[refute_0_1982,refute_0_1983]) ).
cnf(refute_0_1985,plain,
inverse(n1) = multiply(X_55,inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_55,inverse(X_55))),multiply(X_55,inverse(X_55))) )],[refute_0_1907,refute_0_1984]) ).
cnf(refute_0_1986,plain,
( inverse(n1) != multiply(X_55,inverse(X_55))
| multiply(X_55,inverse(X_55)) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(X_55,inverse(X_55))))]]) ).
cnf(refute_0_1987,plain,
multiply(X_55,inverse(X_55)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(X_55,inverse(X_55))) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
multiply(X,inverse(X)) = inverse(n1),
inference(subst,[],[refute_0_1987:[bind(X_55,$fot(X))]]) ).
cnf(refute_0_1989,plain,
inverse(multiply(X,n1)) = inverse(multiply(X,n1)),
introduced(tautology,[refl,[$fot(inverse(multiply(X,n1)))]]) ).
cnf(refute_0_1990,plain,
( multiply(X,n1) != X
| inverse(multiply(X,n1)) != inverse(multiply(X,n1))
| inverse(multiply(X,n1)) = inverse(X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X,n1)),inverse(multiply(X,n1))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_1991,plain,
( multiply(X,n1) != X
| inverse(multiply(X,n1)) = inverse(X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X,n1)),inverse(multiply(X,n1))) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
inverse(multiply(X,n1)) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(X,n1),X) )],[refute_0_1828,refute_0_1991]) ).
cnf(refute_0_1993,plain,
multiply(X,inverse(multiply(X,n1))) = multiply(X,inverse(multiply(X,n1))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(multiply(X,n1))))]]) ).
cnf(refute_0_1994,plain,
( multiply(X,inverse(multiply(X,n1))) != multiply(X,inverse(multiply(X,n1)))
| inverse(multiply(X,n1)) != inverse(X)
| multiply(X,inverse(multiply(X,n1))) = multiply(X,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(multiply(X,n1))),multiply(X,inverse(multiply(X,n1)))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_1995,plain,
( inverse(multiply(X,n1)) != inverse(X)
| multiply(X,inverse(multiply(X,n1))) = multiply(X,inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X,n1))),multiply(X,inverse(multiply(X,n1)))) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
multiply(X,inverse(multiply(X,n1))) = multiply(X,inverse(X)),
inference(resolve,[$cnf( $equal(inverse(multiply(X,n1)),inverse(X)) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
( multiply(X,inverse(X)) != inverse(n1)
| multiply(X,inverse(multiply(X,n1))) != multiply(X,inverse(X))
| multiply(X,inverse(multiply(X,n1))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X,inverse(multiply(X,n1))))),bind(Y0,$fot(multiply(X,inverse(X)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_1998,plain,
( multiply(X,inverse(X)) != inverse(n1)
| multiply(X,inverse(multiply(X,n1))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X,n1))),multiply(X,inverse(X))) )],[refute_0_1996,refute_0_1997]) ).
cnf(refute_0_1999,plain,
multiply(X,inverse(multiply(X,n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X,inverse(X)),inverse(n1)) )],[refute_0_1988,refute_0_1998]) ).
cnf(refute_0_2000,plain,
add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))))]]) ).
cnf(refute_0_2001,plain,
( multiply(X,inverse(multiply(X,n1))) != inverse(n1)
| add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) != add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))
| add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(inverse(n1),multiply(n1,multiply(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_2002,plain,
( multiply(X,inverse(multiply(X,n1))) != inverse(n1)
| add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(inverse(n1),multiply(n1,multiply(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(inverse(n1),multiply(n1,multiply(X,n1))),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X,n1))),inverse(n1)) )],[refute_0_1999,refute_0_2002]) ).
cnf(refute_0_2004,plain,
( add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) != add(inverse(n1),multiply(n1,multiply(X,n1)))
| add(inverse(n1),multiply(n1,multiply(X,n1))) != add(inverse(n1),X)
| add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(inverse(n1),X) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))))),bind(Y0,$fot(add(inverse(n1),multiply(n1,multiply(X,n1))))),bind(Z0,$fot(add(inverse(n1),X)))]]) ).
cnf(refute_0_2005,plain,
( add(inverse(n1),multiply(n1,multiply(X,n1))) != add(inverse(n1),X)
| add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(inverse(n1),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),add(inverse(n1),multiply(n1,multiply(X,n1)))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) = add(inverse(n1),X),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(n1,multiply(X,n1))),add(inverse(n1),X)) )],[refute_0_1889,refute_0_2005]) ).
cnf(refute_0_2007,plain,
( X != add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))
| add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))) != add(inverse(n1),X)
| X = add(inverse(n1),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X,add(inverse(n1),X)) ),[0],$fot(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))))]]) ).
cnf(refute_0_2008,plain,
( X != add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))
| X = add(inverse(n1),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1))),add(inverse(n1),X)) )],[refute_0_2006,refute_0_2007]) ).
cnf(refute_0_2009,plain,
X = add(inverse(n1),X),
inference(resolve,[$cnf( $equal(X,add(multiply(X,inverse(multiply(X,n1))),multiply(n1,multiply(X,n1)))) )],[refute_0_1579,refute_0_2008]) ).
cnf(refute_0_2010,plain,
( X != add(inverse(n1),X)
| add(inverse(n1),X) = X ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X)),bind(Y0,$fot(add(inverse(n1),X)))]]) ).
cnf(refute_0_2011,plain,
add(inverse(n1),X) = X,
inference(resolve,[$cnf( $equal(X,add(inverse(n1),X)) )],[refute_0_2009,refute_0_2010]) ).
cnf(refute_0_2012,plain,
add(inverse(n1),Z) = Z,
inference(subst,[],[refute_0_2011:[bind(X,$fot(Z))]]) ).
cnf(refute_0_2013,plain,
multiply(Z,n1) = Z,
inference(subst,[],[refute_0_1827:[bind(X_55,$fot(Z))]]) ).
cnf(refute_0_2014,plain,
add(inverse(n1),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)),
introduced(tautology,[refl,[$fot(add(inverse(n1),multiply(Z,n1)))]]) ).
cnf(refute_0_2015,plain,
( multiply(Z,n1) != Z
| add(inverse(n1),multiply(Z,n1)) != add(inverse(n1),multiply(Z,n1))
| add(inverse(n1),multiply(Z,n1)) = add(inverse(n1),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),multiply(Z,n1)),add(inverse(n1),multiply(Z,n1))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_2016,plain,
( multiply(Z,n1) != Z
| add(inverse(n1),multiply(Z,n1)) = add(inverse(n1),Z) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,n1)),add(inverse(n1),multiply(Z,n1))) )],[refute_0_2014,refute_0_2015]) ).
cnf(refute_0_2017,plain,
add(inverse(n1),multiply(Z,n1)) = add(inverse(n1),Z),
inference(resolve,[$cnf( $equal(multiply(Z,n1),Z) )],[refute_0_2013,refute_0_2016]) ).
cnf(refute_0_2018,plain,
multiply(inverse(Y),inverse(inverse(Y))) = inverse(n1),
inference(subst,[],[refute_0_1987:[bind(X_55,$fot(inverse(Y)))]]) ).
cnf(refute_0_2019,plain,
multiply(inverse(X_243),add(inverse(n1),Z)) = add(multiply(inverse(n1),inverse(X_243)),multiply(Z,inverse(X_243))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_243))),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_2020,plain,
multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = multiply(inverse(n1),add(inverse(n1),inverse(X_54))),
inference(subst,[],[refute_0_434:[bind(X_55,$fot(inverse(n1)))]]) ).
cnf(refute_0_2021,plain,
inverse(X_54) = add(inverse(n1),inverse(X_54)),
inference(subst,[],[refute_0_1894:[bind(X,$fot(X_54))]]) ).
cnf(refute_0_2022,plain,
( inverse(X_54) != add(inverse(n1),inverse(X_54))
| add(inverse(n1),inverse(X_54)) = inverse(X_54) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_54))),bind(Y0,$fot(add(inverse(n1),inverse(X_54))))]]) ).
cnf(refute_0_2023,plain,
add(inverse(n1),inverse(X_54)) = inverse(X_54),
inference(resolve,[$cnf( $equal(inverse(X_54),add(inverse(n1),inverse(X_54))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
( multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) != multiply(inverse(n1),add(inverse(n1),inverse(X_54)))
| add(inverse(n1),inverse(X_54)) != inverse(X_54)
| multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = multiply(inverse(n1),inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) ),[1,1],$fot(inverse(X_54))]]) ).
cnf(refute_0_2025,plain,
( multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) != multiply(inverse(n1),add(inverse(n1),inverse(X_54)))
| multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = multiply(inverse(n1),inverse(X_54)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(X_54)),inverse(X_54)) )],[refute_0_2023,refute_0_2024]) ).
cnf(refute_0_2026,plain,
multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = multiply(inverse(n1),inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) )],[refute_0_2020,refute_0_2025]) ).
cnf(refute_0_2027,plain,
pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1)))),
inference(subst,[],[refute_0_282:[bind(X,$fot(multiply(X_173,inverse(X_173)))),bind(X_11,$fot(n1))]]) ).
cnf(refute_0_2028,plain,
inverse(n1) = add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)),
inference(subst,[],[refute_0_110:[bind(X_12,$fot(inverse(n1)))]]) ).
cnf(refute_0_2029,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| inverse(n1) != add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))
| inverse(n1) = add(multiply(X_11,inverse(X_11)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2030,plain,
( inverse(n1) != add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))
| inverse(n1) = add(multiply(X_11,inverse(X_11)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_533,refute_0_2029]) ).
cnf(refute_0_2031,plain,
inverse(n1) = add(multiply(X_11,inverse(X_11)),inverse(n1)),
inference(resolve,[$cnf( $equal(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))) )],[refute_0_2028,refute_0_2030]) ).
cnf(refute_0_2032,plain,
inverse(n1) = add(multiply(X_173,inverse(X_173)),inverse(n1)),
inference(subst,[],[refute_0_2031:[bind(X_11,$fot(X_173))]]) ).
cnf(refute_0_2033,plain,
( inverse(n1) != add(multiply(X_173,inverse(X_173)),inverse(n1))
| add(multiply(X_173,inverse(X_173)),inverse(n1)) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(add(multiply(X_173,inverse(X_173)),inverse(n1))))]]) ).
cnf(refute_0_2034,plain,
add(multiply(X_173,inverse(X_173)),inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),add(multiply(X_173,inverse(X_173)),inverse(n1))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
( add(multiply(X_173,inverse(X_173)),inverse(n1)) != inverse(n1)
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1))))
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1))))) ),[1,1,1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_2036,plain,
( pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1))))
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1)) )],[refute_0_2034,refute_0_2035]) ).
cnf(refute_0_2037,plain,
pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1))))) )],[refute_0_2027,refute_0_2036]) ).
cnf(refute_0_2038,plain,
pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),
introduced(tautology,[refl,[$fot(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12))]]) ).
cnf(refute_0_2039,plain,
( add(multiply(X_173,inverse(X_173)),inverse(n1)) != inverse(n1)
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12)
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = pixley(inverse(n1),n1,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12)) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_2040,plain,
( add(multiply(X_173,inverse(X_173)),inverse(n1)) != inverse(n1)
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = pixley(inverse(n1),n1,X_12) ),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12)) )],[refute_0_2038,refute_0_2039]) ).
cnf(refute_0_2041,plain,
pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) = pixley(inverse(n1),n1,X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_173,inverse(X_173)),inverse(n1)),inverse(n1)) )],[refute_0_2034,refute_0_2040]) ).
cnf(refute_0_2042,plain,
( pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))
| pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != pixley(inverse(n1),n1,X_12)
| pixley(inverse(n1),n1,X_12) = add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))) ),[0],$fot(pixley(inverse(n1),n1,X_12))]]) ).
cnf(refute_0_2043,plain,
( pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) ),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),pixley(inverse(n1),n1,X_12)) )],[refute_0_2041,refute_0_2042]) ).
cnf(refute_0_2044,plain,
multiply(X_12,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_1943:[bind(X_53,$fot(X_12))]]) ).
cnf(refute_0_2045,plain,
multiply(X_12,add(inverse(n1),inverse(n1))) = multiply(X_12,add(inverse(n1),inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(inverse(n1),inverse(n1))))]]) ).
cnf(refute_0_2046,plain,
( multiply(X_12,add(inverse(n1),inverse(n1))) != multiply(X_12,add(inverse(n1),inverse(n1)))
| add(inverse(n1),inverse(n1)) != inverse(n1)
| multiply(X_12,add(inverse(n1),inverse(n1))) = multiply(X_12,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(inverse(n1),inverse(n1))),multiply(X_12,add(inverse(n1),inverse(n1)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2047,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| multiply(X_12,add(inverse(n1),inverse(n1))) = multiply(X_12,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(n1),inverse(n1))),multiply(X_12,add(inverse(n1),inverse(n1)))) )],[refute_0_2045,refute_0_2046]) ).
cnf(refute_0_2048,plain,
multiply(X_12,add(inverse(n1),inverse(n1))) = multiply(X_12,inverse(n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_536,refute_0_2047]) ).
cnf(refute_0_2049,plain,
( multiply(X_12,add(inverse(n1),inverse(n1))) != multiply(X_12,inverse(n1))
| multiply(X_12,inverse(n1)) != inverse(n1)
| multiply(X_12,add(inverse(n1),inverse(n1))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_12,add(inverse(n1),inverse(n1))))),bind(Y0,$fot(multiply(X_12,inverse(n1)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_2050,plain,
( multiply(X_12,inverse(n1)) != inverse(n1)
| multiply(X_12,add(inverse(n1),inverse(n1))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(n1),inverse(n1))),multiply(X_12,inverse(n1))) )],[refute_0_2048,refute_0_2049]) ).
cnf(refute_0_2051,plain,
multiply(X_12,add(inverse(n1),inverse(n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(n1)),inverse(n1)) )],[refute_0_2044,refute_0_2050]) ).
cnf(refute_0_2052,plain,
add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))),
introduced(tautology,[refl,[$fot(add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))))]]) ).
cnf(refute_0_2053,plain,
( multiply(X_12,add(inverse(n1),inverse(n1))) != inverse(n1)
| add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) != add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))
| add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = add(inverse(n1),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))),add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2054,plain,
( multiply(X_12,add(inverse(n1),inverse(n1))) != inverse(n1)
| add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = add(inverse(n1),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))),add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = add(inverse(n1),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(n1),inverse(n1))),inverse(n1)) )],[refute_0_2051,refute_0_2054]) ).
cnf(refute_0_2056,plain,
( add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) != add(inverse(n1),inverse(n1))
| add(inverse(n1),inverse(n1)) != inverse(n1)
| add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))))),bind(Y0,$fot(add(inverse(n1),inverse(n1)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_2057,plain,
( add(inverse(n1),inverse(n1)) != inverse(n1)
| add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))),add(inverse(n1),inverse(n1))) )],[refute_0_2055,refute_0_2056]) ).
cnf(refute_0_2058,plain,
add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) = inverse(n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_536,refute_0_2057]) ).
cnf(refute_0_2059,plain,
( add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))) != inverse(n1)
| pixley(inverse(n1),n1,X_12) != add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),n1,X_12),add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))) ),[1],$fot(inverse(n1))]]) ).
cnf(refute_0_2060,plain,
( pixley(inverse(n1),n1,X_12) != add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1)))),inverse(n1)) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
( pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))
| pixley(inverse(n1),n1,X_12) = inverse(n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,X_12),add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))) )],[refute_0_2043,refute_0_2060]) ).
cnf(refute_0_2062,plain,
pixley(inverse(n1),n1,X_12) = inverse(n1),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_173,inverse(X_173)),inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(inverse(n1),inverse(n1))))) )],[refute_0_2037,refute_0_2061]) ).
cnf(refute_0_2063,plain,
pixley(inverse(n1),n1,inverse(X_54)) = inverse(n1),
inference(subst,[],[refute_0_2062:[bind(X_12,$fot(inverse(X_54)))]]) ).
cnf(refute_0_2064,plain,
pixley(inverse(Y),Y,Z) = add(multiply(inverse(Y),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_2065,plain,
multiply(inverse(Y),inverse(Y)) = inverse(Y),
inference(subst,[],[refute_0_1333:[bind(X_179,$fot(inverse(Y)))]]) ).
cnf(refute_0_2066,plain,
( multiply(inverse(Y),inverse(Y)) != inverse(Y)
| pixley(inverse(Y),Y,Z) != add(multiply(inverse(Y),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,Z) = add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),Y,Z),add(multiply(inverse(Y),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_2067,plain,
( pixley(inverse(Y),Y,Z) != add(multiply(inverse(Y),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,Z) = add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(Y)),inverse(Y)) )],[refute_0_2065,refute_0_2066]) ).
cnf(refute_0_2068,plain,
pixley(inverse(Y),Y,Z) = add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,Z),add(multiply(inverse(Y),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))) )],[refute_0_2064,refute_0_2067]) ).
cnf(refute_0_2069,plain,
multiply(inverse(X_50),add(add(inverse(X_50),inverse(X_50)),X_23)) = add(inverse(X_50),multiply(X_23,inverse(X_50))),
inference(subst,[],[refute_0_21:[bind(X,$fot(inverse(X_50))),bind(X_21,$fot(inverse(X_50)))]]) ).
cnf(refute_0_2070,plain,
( multiply(inverse(X_50),add(add(inverse(X_50),inverse(X_50)),X_23)) != add(inverse(X_50),multiply(X_23,inverse(X_50)))
| add(inverse(X_50),inverse(X_50)) != multiply(inverse(X_50),add(X_49,n1))
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = add(inverse(X_50),multiply(X_23,inverse(X_50))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(add(inverse(X_50),inverse(X_50)),X_23)),add(inverse(X_50),multiply(X_23,inverse(X_50)))) ),[0,1,0],$fot(multiply(inverse(X_50),add(X_49,n1)))]]) ).
cnf(refute_0_2071,plain,
( multiply(inverse(X_50),add(add(inverse(X_50),inverse(X_50)),X_23)) != add(inverse(X_50),multiply(X_23,inverse(X_50)))
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = add(inverse(X_50),multiply(X_23,inverse(X_50))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_50),inverse(X_50)),multiply(inverse(X_50),add(X_49,n1))) )],[refute_0_329,refute_0_2070]) ).
cnf(refute_0_2072,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = add(inverse(X_50),multiply(X_23,inverse(X_50))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(add(inverse(X_50),inverse(X_50)),X_23)),add(inverse(X_50),multiply(X_23,inverse(X_50)))) )],[refute_0_2069,refute_0_2071]) ).
cnf(refute_0_2073,plain,
add(inverse(X_50),multiply(X_23,inverse(X_50))) = multiply(inverse(X_50),add(n1,X_23)),
inference(subst,[],[refute_0_508:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_2074,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) != add(inverse(X_50),multiply(X_23,inverse(X_50)))
| add(inverse(X_50),multiply(X_23,inverse(X_50))) != multiply(inverse(X_50),add(n1,X_23))
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(n1,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),multiply(inverse(X_50),add(n1,X_23))) ),[0],$fot(add(inverse(X_50),multiply(X_23,inverse(X_50))))]]) ).
cnf(refute_0_2075,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) != add(inverse(X_50),multiply(X_23,inverse(X_50)))
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(n1,X_23)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_50),multiply(X_23,inverse(X_50))),multiply(inverse(X_50),add(n1,X_23))) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(n1,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),add(inverse(X_50),multiply(X_23,inverse(X_50)))) )],[refute_0_2072,refute_0_2075]) ).
cnf(refute_0_2077,plain,
add(multiply(inverse(X_50),add(X_49,n1)),X_23) = add(multiply(inverse(X_50),add(X_49,n1)),X_23),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_50),add(X_49,n1)),X_23))]]) ).
cnf(refute_0_2078,plain,
( multiply(inverse(X_50),add(X_49,n1)) != multiply(inverse(X_50),n1)
| add(multiply(inverse(X_50),add(X_49,n1)),X_23) != add(multiply(inverse(X_50),add(X_49,n1)),X_23)
| add(multiply(inverse(X_50),add(X_49,n1)),X_23) = add(multiply(inverse(X_50),n1),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_50),add(X_49,n1)),X_23),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) ),[1,0],$fot(multiply(inverse(X_50),n1))]]) ).
cnf(refute_0_2079,plain,
( multiply(inverse(X_50),add(X_49,n1)) != multiply(inverse(X_50),n1)
| add(multiply(inverse(X_50),add(X_49,n1)),X_23) = add(multiply(inverse(X_50),n1),X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_50),add(X_49,n1)),X_23),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) )],[refute_0_2077,refute_0_2078]) ).
cnf(refute_0_2080,plain,
add(multiply(inverse(X_50),add(X_49,n1)),X_23) = add(multiply(inverse(X_50),n1),X_23),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(X_49,n1)),multiply(inverse(X_50),n1)) )],[refute_0_1675,refute_0_2079]) ).
cnf(refute_0_2081,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)))]]) ).
cnf(refute_0_2082,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) != multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23))
| add(multiply(inverse(X_50),add(X_49,n1)),X_23) != add(multiply(inverse(X_50),n1),X_23)
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23))) ),[1,1],$fot(add(multiply(inverse(X_50),n1),X_23))]]) ).
cnf(refute_0_2083,plain,
( add(multiply(inverse(X_50),add(X_49,n1)),X_23) != add(multiply(inverse(X_50),n1),X_23)
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23))) )],[refute_0_2081,refute_0_2082]) ).
cnf(refute_0_2084,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) = multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_50),add(X_49,n1)),X_23),add(multiply(inverse(X_50),n1),X_23)) )],[refute_0_2080,refute_0_2083]) ).
cnf(refute_0_2085,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) != multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23))
| multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) != multiply(inverse(X_50),add(n1,X_23))
| multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(n1,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),multiply(inverse(X_50),add(n1,X_23))) ),[0],$fot(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)))]]) ).
cnf(refute_0_2086,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)) != multiply(inverse(X_50),add(n1,X_23))
| multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(n1,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23))) )],[refute_0_2084,refute_0_2085]) ).
cnf(refute_0_2087,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(n1,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),add(X_49,n1)),X_23)),multiply(inverse(X_50),add(n1,X_23))) )],[refute_0_2076,refute_0_2086]) ).
cnf(refute_0_2088,plain,
add(multiply(inverse(X_50),n1),X_23) = add(multiply(inverse(X_50),n1),X_23),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_50),n1),X_23))]]) ).
cnf(refute_0_2089,plain,
( multiply(inverse(X_50),n1) != inverse(X_50)
| add(multiply(inverse(X_50),n1),X_23) != add(multiply(inverse(X_50),n1),X_23)
| add(multiply(inverse(X_50),n1),X_23) = add(inverse(X_50),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_50),n1),X_23),add(multiply(inverse(X_50),n1),X_23)) ),[1,0],$fot(inverse(X_50))]]) ).
cnf(refute_0_2090,plain,
( multiply(inverse(X_50),n1) != inverse(X_50)
| add(multiply(inverse(X_50),n1),X_23) = add(inverse(X_50),X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_50),n1),X_23),add(multiply(inverse(X_50),n1),X_23)) )],[refute_0_2088,refute_0_2089]) ).
cnf(refute_0_2091,plain,
add(multiply(inverse(X_50),n1),X_23) = add(inverse(X_50),X_23),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),n1),inverse(X_50)) )],[refute_0_1695,refute_0_2090]) ).
cnf(refute_0_2092,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)))]]) ).
cnf(refute_0_2093,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) != multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23))
| add(multiply(inverse(X_50),n1),X_23) != add(inverse(X_50),X_23)
| multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(inverse(X_50),X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23))) ),[1,1],$fot(add(inverse(X_50),X_23))]]) ).
cnf(refute_0_2094,plain,
( add(multiply(inverse(X_50),n1),X_23) != add(inverse(X_50),X_23)
| multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(inverse(X_50),X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23))) )],[refute_0_2092,refute_0_2093]) ).
cnf(refute_0_2095,plain,
multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) = multiply(inverse(X_50),add(inverse(X_50),X_23)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_50),n1),X_23),add(inverse(X_50),X_23)) )],[refute_0_2091,refute_0_2094]) ).
cnf(refute_0_2096,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) != multiply(inverse(X_50),add(inverse(X_50),X_23))
| multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) != multiply(inverse(X_50),add(n1,X_23))
| multiply(inverse(X_50),add(inverse(X_50),X_23)) = multiply(inverse(X_50),add(n1,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),multiply(inverse(X_50),add(n1,X_23))) ),[0],$fot(multiply(inverse(X_50),add(inverse(X_50),X_23)))]]) ).
cnf(refute_0_2097,plain,
( multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)) != multiply(inverse(X_50),add(n1,X_23))
| multiply(inverse(X_50),add(inverse(X_50),X_23)) = multiply(inverse(X_50),add(n1,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),multiply(inverse(X_50),add(inverse(X_50),X_23))) )],[refute_0_2095,refute_0_2096]) ).
cnf(refute_0_2098,plain,
multiply(inverse(X_50),add(inverse(X_50),X_23)) = multiply(inverse(X_50),add(n1,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_50),add(multiply(inverse(X_50),n1),X_23)),multiply(inverse(X_50),add(n1,X_23))) )],[refute_0_2087,refute_0_2097]) ).
cnf(refute_0_2099,plain,
multiply(inverse(Y),add(inverse(Y),Z)) = multiply(inverse(Y),add(n1,Z)),
inference(subst,[],[refute_0_2098:[bind(X_23,$fot(Z)),bind(X_50,$fot(Y))]]) ).
cnf(refute_0_2100,plain,
multiply(X,add(X,Z)) = add(multiply(X,X),multiply(Z,X)),
inference(subst,[],[multiply_add_property:[bind(Y,$fot(X))]]) ).
cnf(refute_0_2101,plain,
( multiply(X,X) != X
| multiply(X,add(X,Z)) != add(multiply(X,X),multiply(Z,X))
| multiply(X,add(X,Z)) = add(X,multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(X,Z)),add(multiply(X,X),multiply(Z,X))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_2102,plain,
( multiply(X,add(X,Z)) != add(multiply(X,X),multiply(Z,X))
| multiply(X,add(X,Z)) = add(X,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(X,X),X) )],[refute_0_1334,refute_0_2101]) ).
cnf(refute_0_2103,plain,
multiply(X,add(X,Z)) = add(X,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),add(multiply(X,X),multiply(Z,X))) )],[refute_0_2100,refute_0_2102]) ).
cnf(refute_0_2104,plain,
( multiply(X,add(X,Z)) != add(X,multiply(Z,X))
| add(X,multiply(Z,X)) = multiply(X,add(X,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(X,Z)))),bind(Y0,$fot(add(X,multiply(Z,X))))]]) ).
cnf(refute_0_2105,plain,
add(X,multiply(Z,X)) = multiply(X,add(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),add(X,multiply(Z,X))) )],[refute_0_2103,refute_0_2104]) ).
cnf(refute_0_2106,plain,
add(inverse(Y),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(inverse(Y),Z)),
inference(subst,[],[refute_0_2105:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_2107,plain,
( multiply(inverse(Y),add(inverse(Y),Z)) != multiply(inverse(Y),add(n1,Z))
| add(inverse(Y),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(inverse(Y),Z))
| add(inverse(Y),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(n1,Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(Y),multiply(Z,inverse(Y))))),bind(Y0,$fot(multiply(inverse(Y),add(inverse(Y),Z)))),bind(Z0,$fot(multiply(inverse(Y),add(n1,Z))))]]) ).
cnf(refute_0_2108,plain,
( multiply(inverse(Y),add(inverse(Y),Z)) != multiply(inverse(Y),add(n1,Z))
| add(inverse(Y),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,inverse(Y))),multiply(inverse(Y),add(inverse(Y),Z))) )],[refute_0_2106,refute_0_2107]) ).
cnf(refute_0_2109,plain,
add(inverse(Y),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(inverse(Y),Z)),multiply(inverse(Y),add(n1,Z))) )],[refute_0_2099,refute_0_2108]) ).
cnf(refute_0_2110,plain,
add(inverse(Y),inverse(Y)) = inverse(Y),
inference(subst,[],[refute_0_1437:[bind(X_121,$fot(Y))]]) ).
cnf(refute_0_2111,plain,
multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,add(inverse(Y),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(Z,add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_2112,plain,
( multiply(Z,add(inverse(Y),inverse(Y))) != multiply(Z,add(inverse(Y),inverse(Y)))
| add(inverse(Y),inverse(Y)) != inverse(Y)
| multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(inverse(Y),inverse(Y))),multiply(Z,add(inverse(Y),inverse(Y)))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_2113,plain,
( add(inverse(Y),inverse(Y)) != inverse(Y)
| multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(inverse(Y),inverse(Y))),multiply(Z,add(inverse(Y),inverse(Y)))) )],[refute_0_2111,refute_0_2112]) ).
cnf(refute_0_2114,plain,
multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,inverse(Y)),
inference(resolve,[$cnf( $equal(add(inverse(Y),inverse(Y)),inverse(Y)) )],[refute_0_2110,refute_0_2113]) ).
cnf(refute_0_2115,plain,
add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))),
introduced(tautology,[refl,[$fot(add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))))]]) ).
cnf(refute_0_2116,plain,
( multiply(Z,add(inverse(Y),inverse(Y))) != multiply(Z,inverse(Y))
| add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) != add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))
| add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = add(inverse(Y),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))),add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))) ),[1,1],$fot(multiply(Z,inverse(Y)))]]) ).
cnf(refute_0_2117,plain,
( multiply(Z,add(inverse(Y),inverse(Y))) != multiply(Z,inverse(Y))
| add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = add(inverse(Y),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))),add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))) )],[refute_0_2115,refute_0_2116]) ).
cnf(refute_0_2118,plain,
add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = add(inverse(Y),multiply(Z,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Z,add(inverse(Y),inverse(Y))),multiply(Z,inverse(Y))) )],[refute_0_2114,refute_0_2117]) ).
cnf(refute_0_2119,plain,
( add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) != add(inverse(Y),multiply(Z,inverse(Y)))
| add(inverse(Y),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(n1,Z))
| add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = multiply(inverse(Y),add(n1,Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))))),bind(Y0,$fot(add(inverse(Y),multiply(Z,inverse(Y))))),bind(Z0,$fot(multiply(inverse(Y),add(n1,Z))))]]) ).
cnf(refute_0_2120,plain,
( add(inverse(Y),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(n1,Z))
| add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))),add(inverse(Y),multiply(Z,inverse(Y)))) )],[refute_0_2118,refute_0_2119]) ).
cnf(refute_0_2121,plain,
add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) = multiply(inverse(Y),add(n1,Z)),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,inverse(Y))),multiply(inverse(Y),add(n1,Z))) )],[refute_0_2109,refute_0_2120]) ).
cnf(refute_0_2122,plain,
( add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))) != multiply(inverse(Y),add(n1,Z))
| pixley(inverse(Y),Y,Z) != add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,Z) = multiply(inverse(Y),add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),Y,Z),add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))) ),[1],$fot(multiply(inverse(Y),add(n1,Z)))]]) ).
cnf(refute_0_2123,plain,
( pixley(inverse(Y),Y,Z) != add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))
| pixley(inverse(Y),Y,Z) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y)))),multiply(inverse(Y),add(n1,Z))) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
pixley(inverse(Y),Y,Z) = multiply(inverse(Y),add(n1,Z)),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,Z),add(inverse(Y),multiply(Z,add(inverse(Y),inverse(Y))))) )],[refute_0_2068,refute_0_2123]) ).
cnf(refute_0_2125,plain,
( pixley(inverse(Y),Y,Z) != multiply(inverse(Y),add(n1,Z))
| multiply(inverse(Y),add(n1,Z)) = pixley(inverse(Y),Y,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(Y),Y,Z))),bind(Y0,$fot(multiply(inverse(Y),add(n1,Z))))]]) ).
cnf(refute_0_2126,plain,
multiply(inverse(Y),add(n1,Z)) = pixley(inverse(Y),Y,Z),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,Z),multiply(inverse(Y),add(n1,Z))) )],[refute_0_2124,refute_0_2125]) ).
cnf(refute_0_2127,plain,
multiply(inverse(n1),add(n1,inverse(X_54))) = pixley(inverse(n1),n1,inverse(X_54)),
inference(subst,[],[refute_0_2126:[bind(Y,$fot(n1)),bind(Z,$fot(inverse(X_54)))]]) ).
cnf(refute_0_2128,plain,
( multiply(inverse(n1),add(n1,inverse(X_54))) != pixley(inverse(n1),n1,inverse(X_54))
| pixley(inverse(n1),n1,inverse(X_54)) != inverse(n1)
| multiply(inverse(n1),add(n1,inverse(X_54))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(n1,inverse(X_54))))),bind(Y0,$fot(pixley(inverse(n1),n1,inverse(X_54)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_2129,plain,
( pixley(inverse(n1),n1,inverse(X_54)) != inverse(n1)
| multiply(inverse(n1),add(n1,inverse(X_54))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(X_54))),pixley(inverse(n1),n1,inverse(X_54))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
multiply(inverse(n1),add(n1,inverse(X_54))) = inverse(n1),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,inverse(X_54)),inverse(n1)) )],[refute_0_2063,refute_0_2129]) ).
cnf(refute_0_2131,plain,
multiply(inverse(n1),add(inverse(n1),inverse(X_54))) = multiply(inverse(n1),add(n1,inverse(X_54))),
inference(subst,[],[refute_0_2098:[bind(X_23,$fot(inverse(X_54))),bind(X_50,$fot(n1))]]) ).
cnf(refute_0_2132,plain,
( multiply(inverse(n1),add(inverse(n1),inverse(X_54))) != multiply(inverse(n1),add(n1,inverse(X_54)))
| multiply(inverse(n1),add(n1,inverse(X_54))) != inverse(n1)
| multiply(inverse(n1),add(inverse(n1),inverse(X_54))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),add(inverse(n1),inverse(X_54))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,inverse(X_54))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_2133,plain,
( multiply(inverse(n1),add(n1,inverse(X_54))) != inverse(n1)
| multiply(inverse(n1),add(inverse(n1),inverse(X_54))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),inverse(X_54))),multiply(inverse(n1),add(n1,inverse(X_54)))) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
multiply(inverse(n1),add(inverse(n1),inverse(X_54))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,inverse(X_54))),inverse(n1)) )],[refute_0_2130,refute_0_2133]) ).
cnf(refute_0_2135,plain,
( multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) != multiply(inverse(n1),add(inverse(n1),inverse(X_54)))
| multiply(inverse(n1),add(inverse(n1),inverse(X_54))) != inverse(n1)
| multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))))),bind(Y0,$fot(multiply(inverse(n1),add(inverse(n1),inverse(X_54))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_2136,plain,
( multiply(inverse(n1),add(inverse(n1),inverse(X_54))) != inverse(n1)
| multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) )],[refute_0_2020,refute_0_2135]) ).
cnf(refute_0_2137,plain,
multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),inverse(X_54))),inverse(n1)) )],[refute_0_2134,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) != multiply(inverse(n1),inverse(X_54))
| multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) != inverse(n1)
| inverse(n1) = multiply(inverse(n1),inverse(X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))),multiply(inverse(n1),inverse(X_54))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_2139,plain,
( multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))) != multiply(inverse(n1),inverse(X_54))
| inverse(n1) = multiply(inverse(n1),inverse(X_54)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))),inverse(n1)) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
inverse(n1) = multiply(inverse(n1),inverse(X_54)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(inverse(n1),add(inverse(n1),inverse(X_54)))),multiply(inverse(n1),inverse(X_54))) )],[refute_0_2026,refute_0_2139]) ).
cnf(refute_0_2141,plain,
inverse(n1) = multiply(inverse(n1),inverse(X_243)),
inference(subst,[],[refute_0_2140:[bind(X_54,$fot(X_243))]]) ).
cnf(refute_0_2142,plain,
( inverse(n1) != multiply(inverse(n1),inverse(X_243))
| multiply(inverse(n1),inverse(X_243)) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(inverse(n1),inverse(X_243))))]]) ).
cnf(refute_0_2143,plain,
multiply(inverse(n1),inverse(X_243)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(inverse(n1),inverse(X_243))) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
( multiply(inverse(X_243),add(inverse(n1),Z)) != add(multiply(inverse(n1),inverse(X_243)),multiply(Z,inverse(X_243)))
| multiply(inverse(n1),inverse(X_243)) != inverse(n1)
| multiply(inverse(X_243),add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,inverse(X_243))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_243),add(inverse(n1),Z)),add(multiply(inverse(n1),inverse(X_243)),multiply(Z,inverse(X_243)))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_2145,plain,
( multiply(inverse(X_243),add(inverse(n1),Z)) != add(multiply(inverse(n1),inverse(X_243)),multiply(Z,inverse(X_243)))
| multiply(inverse(X_243),add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,inverse(X_243))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),inverse(X_243)),inverse(n1)) )],[refute_0_2143,refute_0_2144]) ).
cnf(refute_0_2146,plain,
multiply(inverse(X_243),add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,inverse(X_243))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),add(inverse(n1),Z)),add(multiply(inverse(n1),inverse(X_243)),multiply(Z,inverse(X_243)))) )],[refute_0_2019,refute_0_2145]) ).
cnf(refute_0_2147,plain,
pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_2148,plain,
inverse(Y) = add(inverse(n1),inverse(Y)),
inference(subst,[],[refute_0_1894:[bind(X,$fot(Y))]]) ).
cnf(refute_0_2149,plain,
( inverse(Y) != add(inverse(n1),inverse(Y))
| add(inverse(n1),inverse(Y)) = inverse(Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(Y))),bind(Y0,$fot(add(inverse(n1),inverse(Y))))]]) ).
cnf(refute_0_2150,plain,
add(inverse(n1),inverse(Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(inverse(Y),add(inverse(n1),inverse(Y))) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
( add(inverse(n1),inverse(Y)) != inverse(Y)
| pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))
| pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))) ),[1,1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_2152,plain,
( pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))
| pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(Y)),inverse(Y)) )],[refute_0_2150,refute_0_2151]) ).
cnf(refute_0_2153,plain,
pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))) )],[refute_0_2147,refute_0_2152]) ).
cnf(refute_0_2154,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(inverse(n1),Z)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(Y))),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_2155,plain,
( add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(inverse(n1),Z))
| pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),add(inverse(n1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y)))) ),[1],$fot(multiply(inverse(Y),add(inverse(n1),Z)))]]) ).
cnf(refute_0_2156,plain,
( pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),add(inverse(n1),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_2154,refute_0_2155]) ).
cnf(refute_0_2157,plain,
pixley(inverse(n1),Y,Z) = multiply(inverse(Y),add(inverse(n1),Z)),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y)))) )],[refute_0_2153,refute_0_2156]) ).
cnf(refute_0_2158,plain,
( pixley(inverse(n1),Y,Z) != multiply(inverse(Y),add(inverse(n1),Z))
| multiply(inverse(Y),add(inverse(n1),Z)) = pixley(inverse(n1),Y,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(n1),Y,Z))),bind(Y0,$fot(multiply(inverse(Y),add(inverse(n1),Z))))]]) ).
cnf(refute_0_2159,plain,
multiply(inverse(Y),add(inverse(n1),Z)) = pixley(inverse(n1),Y,Z),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_2157,refute_0_2158]) ).
cnf(refute_0_2160,plain,
multiply(inverse(X_243),add(inverse(n1),Z)) = pixley(inverse(n1),X_243,Z),
inference(subst,[],[refute_0_2159:[bind(Y,$fot(X_243))]]) ).
cnf(refute_0_2161,plain,
( multiply(inverse(X_243),add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,inverse(X_243)))
| multiply(inverse(X_243),add(inverse(n1),Z)) != pixley(inverse(n1),X_243,Z)
| pixley(inverse(n1),X_243,Z) = add(inverse(n1),multiply(Z,inverse(X_243))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_243),add(inverse(n1),Z)),add(inverse(n1),multiply(Z,inverse(X_243)))) ),[0],$fot(pixley(inverse(n1),X_243,Z))]]) ).
cnf(refute_0_2162,plain,
( multiply(inverse(X_243),add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,inverse(X_243)))
| pixley(inverse(n1),X_243,Z) = add(inverse(n1),multiply(Z,inverse(X_243))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),add(inverse(n1),Z)),pixley(inverse(n1),X_243,Z)) )],[refute_0_2160,refute_0_2161]) ).
cnf(refute_0_2163,plain,
pixley(inverse(n1),X_243,Z) = add(inverse(n1),multiply(Z,inverse(X_243))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),add(inverse(n1),Z)),add(inverse(n1),multiply(Z,inverse(X_243)))) )],[refute_0_2146,refute_0_2162]) ).
cnf(refute_0_2164,plain,
multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),add(inverse(n1),Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(Y),add(inverse(n1),Z)))]]) ).
cnf(refute_0_2165,plain,
( multiply(inverse(Y),add(inverse(n1),Z)) != multiply(inverse(Y),add(inverse(n1),Z))
| add(inverse(n1),Z) != Z
| multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),add(inverse(n1),Z)),multiply(inverse(Y),add(inverse(n1),Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_2166,plain,
( add(inverse(n1),Z) != Z
| multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(inverse(n1),Z)),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_2164,refute_0_2165]) ).
cnf(refute_0_2167,plain,
multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),Z),
inference(resolve,[$cnf( $equal(add(inverse(n1),Z),Z) )],[refute_0_2012,refute_0_2166]) ).
cnf(refute_0_2168,plain,
( multiply(inverse(Y),add(inverse(n1),Z)) != multiply(inverse(Y),Z)
| pixley(inverse(n1),Y,Z) != multiply(inverse(Y),add(inverse(n1),Z))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),add(inverse(n1),Z))) ),[1],$fot(multiply(inverse(Y),Z))]]) ).
cnf(refute_0_2169,plain,
( pixley(inverse(n1),Y,Z) != multiply(inverse(Y),add(inverse(n1),Z))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(inverse(n1),Z)),multiply(inverse(Y),Z)) )],[refute_0_2167,refute_0_2168]) ).
cnf(refute_0_2170,plain,
pixley(inverse(n1),Y,Z) = multiply(inverse(Y),Z),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_2157,refute_0_2169]) ).
cnf(refute_0_2171,plain,
pixley(inverse(n1),X_243,Z) = multiply(inverse(X_243),Z),
inference(subst,[],[refute_0_2170:[bind(Y,$fot(X_243))]]) ).
cnf(refute_0_2172,plain,
( pixley(inverse(n1),X_243,Z) != multiply(inverse(X_243),Z)
| pixley(inverse(n1),X_243,Z) != add(inverse(n1),multiply(Z,inverse(X_243)))
| multiply(inverse(X_243),Z) = add(inverse(n1),multiply(Z,inverse(X_243))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),X_243,Z),add(inverse(n1),multiply(Z,inverse(X_243)))) ),[0],$fot(multiply(inverse(X_243),Z))]]) ).
cnf(refute_0_2173,plain,
( pixley(inverse(n1),X_243,Z) != add(inverse(n1),multiply(Z,inverse(X_243)))
| multiply(inverse(X_243),Z) = add(inverse(n1),multiply(Z,inverse(X_243))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_243,Z),multiply(inverse(X_243),Z)) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
add(inverse(n1),multiply(Z,inverse(X_243))) = multiply(Z,inverse(X_243)),
inference(subst,[],[refute_0_2011:[bind(X,$fot(multiply(Z,inverse(X_243))))]]) ).
cnf(refute_0_2175,plain,
( multiply(inverse(X_243),Z) != add(inverse(n1),multiply(Z,inverse(X_243)))
| add(inverse(n1),multiply(Z,inverse(X_243))) != multiply(Z,inverse(X_243))
| multiply(inverse(X_243),Z) = multiply(Z,inverse(X_243)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_243),Z),multiply(Z,inverse(X_243))) ),[0],$fot(add(inverse(n1),multiply(Z,inverse(X_243))))]]) ).
cnf(refute_0_2176,plain,
( multiply(inverse(X_243),Z) != add(inverse(n1),multiply(Z,inverse(X_243)))
| multiply(inverse(X_243),Z) = multiply(Z,inverse(X_243)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,inverse(X_243))),multiply(Z,inverse(X_243))) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
( pixley(inverse(n1),X_243,Z) != add(inverse(n1),multiply(Z,inverse(X_243)))
| multiply(inverse(X_243),Z) = multiply(Z,inverse(X_243)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),Z),add(inverse(n1),multiply(Z,inverse(X_243)))) )],[refute_0_2173,refute_0_2176]) ).
cnf(refute_0_2178,plain,
multiply(inverse(X_243),Z) = multiply(Z,inverse(X_243)),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_243,Z),add(inverse(n1),multiply(Z,inverse(X_243)))) )],[refute_0_2163,refute_0_2177]) ).
cnf(refute_0_2179,plain,
( multiply(inverse(X_243),Z) != multiply(Z,inverse(X_243))
| multiply(Z,inverse(X_243)) = multiply(inverse(X_243),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_243),Z))),bind(Y0,$fot(multiply(Z,inverse(X_243))))]]) ).
cnf(refute_0_2180,plain,
multiply(Z,inverse(X_243)) = multiply(inverse(X_243),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),Z),multiply(Z,inverse(X_243))) )],[refute_0_2178,refute_0_2179]) ).
cnf(refute_0_2181,plain,
multiply(inverse(inverse(Y)),inverse(Y)) = multiply(inverse(Y),inverse(inverse(Y))),
inference(subst,[],[refute_0_2180:[bind(Z,$fot(inverse(inverse(Y)))),bind(X_243,$fot(Y))]]) ).
cnf(refute_0_2182,plain,
( multiply(inverse(Y),inverse(inverse(Y))) != inverse(n1)
| multiply(inverse(inverse(Y)),inverse(Y)) != multiply(inverse(Y),inverse(inverse(Y)))
| multiply(inverse(inverse(Y)),inverse(Y)) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(inverse(Y)),inverse(Y)))),bind(Y0,$fot(multiply(inverse(Y),inverse(inverse(Y))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_2183,plain,
( multiply(inverse(Y),inverse(inverse(Y))) != inverse(n1)
| multiply(inverse(inverse(Y)),inverse(Y)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(Y)),multiply(inverse(Y),inverse(inverse(Y)))) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
multiply(inverse(inverse(Y)),inverse(Y)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(inverse(Y))),inverse(n1)) )],[refute_0_2018,refute_0_2183]) ).
cnf(refute_0_2185,plain,
add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)))]]) ).
cnf(refute_0_2186,plain,
( multiply(inverse(inverse(Y)),inverse(Y)) != inverse(n1)
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) != add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_2187,plain,
( multiply(inverse(inverse(Y)),inverse(Y)) != inverse(n1)
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))) )],[refute_0_2185,refute_0_2186]) ).
cnf(refute_0_2188,plain,
add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(inverse(n1),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),inverse(Y)),inverse(n1)) )],[refute_0_2184,refute_0_2187]) ).
cnf(refute_0_2189,plain,
( add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) != add(inverse(n1),multiply(Z,n1))
| add(inverse(n1),multiply(Z,n1)) != add(inverse(n1),Z)
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(inverse(n1),Z) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)))),bind(Y0,$fot(add(inverse(n1),multiply(Z,n1)))),bind(Z0,$fot(add(inverse(n1),Z)))]]) ).
cnf(refute_0_2190,plain,
( add(inverse(n1),multiply(Z,n1)) != add(inverse(n1),Z)
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(inverse(n1),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),add(inverse(n1),multiply(Z,n1))) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = add(inverse(n1),Z),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,n1)),add(inverse(n1),Z)) )],[refute_0_2017,refute_0_2190]) ).
cnf(refute_0_2192,plain,
( add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) != add(inverse(n1),Z)
| add(inverse(n1),Z) != Z
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = Z ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)))),bind(Y0,$fot(add(inverse(n1),Z))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_2193,plain,
( add(inverse(n1),Z) != Z
| add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = Z ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),add(inverse(n1),Z)) )],[refute_0_2191,refute_0_2192]) ).
cnf(refute_0_2194,plain,
add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) = Z,
inference(resolve,[$cnf( $equal(add(inverse(n1),Z),Z) )],[refute_0_2012,refute_0_2193]) ).
cnf(refute_0_2195,plain,
( add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)) != Z
| pixley(inverse(inverse(Y)),Y,Z) != add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))
| pixley(inverse(inverse(Y)),Y,Z) = Z ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Z),add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))) ),[1],$fot(Z)]]) ).
cnf(refute_0_2196,plain,
( pixley(inverse(inverse(Y)),Y,Z) != add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))
| pixley(inverse(inverse(Y)),Y,Z) = Z ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1)),Z) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
pixley(inverse(inverse(Y)),Y,Z) = Z,
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Z),add(multiply(inverse(inverse(Y)),inverse(Y)),multiply(Z,n1))) )],[refute_0_1239,refute_0_2196]) ).
cnf(refute_0_2198,plain,
pixley(inverse(inverse(Y)),Y,Y) = Y,
inference(subst,[],[refute_0_2197:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_2199,plain,
( pixley(inverse(inverse(Y)),Y,Y) != Y
| pixley(inverse(inverse(Y)),Y,Y) != inverse(inverse(Y))
| Y = inverse(inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Y),inverse(inverse(Y))) ),[0],$fot(Y)]]) ).
cnf(refute_0_2200,plain,
( pixley(inverse(inverse(Y)),Y,Y) != inverse(inverse(Y))
| Y = inverse(inverse(Y)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Y),Y) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
Y = inverse(inverse(Y)),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(Y)),Y,Y),inverse(inverse(Y))) )],[refute_0_14,refute_0_2200]) ).
cnf(refute_0_2202,plain,
X_262 = inverse(inverse(X_262)),
inference(subst,[],[refute_0_2201:[bind(Y,$fot(X_262))]]) ).
cnf(refute_0_2203,plain,
( X_262 != inverse(inverse(X_262))
| inverse(inverse(X_262)) = X_262 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_262)),bind(Y0,$fot(inverse(inverse(X_262))))]]) ).
cnf(refute_0_2204,plain,
inverse(inverse(X_262)) = X_262,
inference(resolve,[$cnf( $equal(X_262,inverse(inverse(X_262))) )],[refute_0_2202,refute_0_2203]) ).
cnf(refute_0_2205,plain,
( inverse(inverse(X_262)) != X_262
| pixley(X,inverse(X_262),Z) != add(multiply(X,inverse(inverse(X_262))),multiply(Z,add(X,inverse(inverse(X_262)))))
| pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,inverse(inverse(X_262))),multiply(Z,add(X,inverse(inverse(X_262)))))) ),[1,0,1],$fot(X_262)]]) ).
cnf(refute_0_2206,plain,
( pixley(X,inverse(X_262),Z) != add(multiply(X,inverse(inverse(X_262))),multiply(Z,add(X,inverse(inverse(X_262)))))
| pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_262)),X_262) )],[refute_0_2204,refute_0_2205]) ).
cnf(refute_0_2207,plain,
pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,inverse(inverse(X_262))),multiply(Z,add(X,inverse(inverse(X_262)))))) )],[refute_0_13,refute_0_2206]) ).
cnf(refute_0_2208,plain,
add(X,inverse(inverse(X_262))) = add(X,inverse(inverse(X_262))),
introduced(tautology,[refl,[$fot(add(X,inverse(inverse(X_262))))]]) ).
cnf(refute_0_2209,plain,
( add(X,inverse(inverse(X_262))) != add(X,inverse(inverse(X_262)))
| inverse(inverse(X_262)) != X_262
| add(X,inverse(inverse(X_262))) = add(X,X_262) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,inverse(inverse(X_262))),add(X,inverse(inverse(X_262)))) ),[1,1],$fot(X_262)]]) ).
cnf(refute_0_2210,plain,
( inverse(inverse(X_262)) != X_262
| add(X,inverse(inverse(X_262))) = add(X,X_262) ),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(X_262))),add(X,inverse(inverse(X_262)))) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
add(X,inverse(inverse(X_262))) = add(X,X_262),
inference(resolve,[$cnf( $equal(inverse(inverse(X_262)),X_262) )],[refute_0_2204,refute_0_2210]) ).
cnf(refute_0_2212,plain,
multiply(Z,add(X,inverse(inverse(X_262)))) = multiply(Z,add(X,inverse(inverse(X_262)))),
introduced(tautology,[refl,[$fot(multiply(Z,add(X,inverse(inverse(X_262)))))]]) ).
cnf(refute_0_2213,plain,
( multiply(Z,add(X,inverse(inverse(X_262)))) != multiply(Z,add(X,inverse(inverse(X_262))))
| add(X,inverse(inverse(X_262))) != add(X,X_262)
| multiply(Z,add(X,inverse(inverse(X_262)))) = multiply(Z,add(X,X_262)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(X_262)))),multiply(Z,add(X,inverse(inverse(X_262))))) ),[1,1],$fot(add(X,X_262))]]) ).
cnf(refute_0_2214,plain,
( add(X,inverse(inverse(X_262))) != add(X,X_262)
| multiply(Z,add(X,inverse(inverse(X_262)))) = multiply(Z,add(X,X_262)) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(X_262)))),multiply(Z,add(X,inverse(inverse(X_262))))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
multiply(Z,add(X,inverse(inverse(X_262)))) = multiply(Z,add(X,X_262)),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(X_262))),add(X,X_262)) )],[refute_0_2211,refute_0_2214]) ).
cnf(refute_0_2216,plain,
add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) = add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))),
introduced(tautology,[refl,[$fot(add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))))]]) ).
cnf(refute_0_2217,plain,
( multiply(Z,add(X,inverse(inverse(X_262)))) != multiply(Z,add(X,X_262))
| add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) != add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))
| add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) = add(multiply(X,X_262),multiply(Z,add(X,X_262))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))),add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))) ),[1,1],$fot(multiply(Z,add(X,X_262)))]]) ).
cnf(refute_0_2218,plain,
( multiply(Z,add(X,inverse(inverse(X_262)))) != multiply(Z,add(X,X_262))
| add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) = add(multiply(X,X_262),multiply(Z,add(X,X_262))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))),add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))) )],[refute_0_2216,refute_0_2217]) ).
cnf(refute_0_2219,plain,
add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) = add(multiply(X,X_262),multiply(Z,add(X,X_262))),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(X_262)))),multiply(Z,add(X,X_262))) )],[refute_0_2215,refute_0_2218]) ).
cnf(refute_0_2220,plain,
( add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))) != add(multiply(X,X_262),multiply(Z,add(X,X_262)))
| pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))
| pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X,X_262))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))) ),[1],$fot(add(multiply(X,X_262),multiply(Z,add(X,X_262))))]]) ).
cnf(refute_0_2221,plain,
( pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))
| pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X,X_262))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262))))),add(multiply(X,X_262),multiply(Z,add(X,X_262)))) )],[refute_0_2219,refute_0_2220]) ).
cnf(refute_0_2222,plain,
pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X,X_262))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X,inverse(inverse(X_262)))))) )],[refute_0_2207,refute_0_2221]) ).
cnf(refute_0_2223,plain,
pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),multiply(n1,add(X_589,X_591))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(X_589)),bind(Z,$fot(n1)),bind(X_262,$fot(X_591))]]) ).
cnf(refute_0_2224,plain,
add(X_589,X_591) = multiply(n1,add(X_589,X_591)),
inference(subst,[],[refute_0_1879:[bind(X_26,$fot(add(X_589,X_591)))]]) ).
cnf(refute_0_2225,plain,
( add(X_589,X_591) != multiply(n1,add(X_589,X_591))
| multiply(n1,add(X_589,X_591)) = add(X_589,X_591) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_589,X_591))),bind(Y0,$fot(multiply(n1,add(X_589,X_591))))]]) ).
cnf(refute_0_2226,plain,
multiply(n1,add(X_589,X_591)) = add(X_589,X_591),
inference(resolve,[$cnf( $equal(add(X_589,X_591),multiply(n1,add(X_589,X_591))) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
( multiply(n1,add(X_589,X_591)) != add(X_589,X_591)
| pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),multiply(n1,add(X_589,X_591)))
| pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),add(X_589,X_591)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),multiply(n1,add(X_589,X_591)))) ),[1,1],$fot(add(X_589,X_591))]]) ).
cnf(refute_0_2228,plain,
( pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),multiply(n1,add(X_589,X_591)))
| pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),add(X_589,X_591)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_589,X_591)),add(X_589,X_591)) )],[refute_0_2226,refute_0_2227]) ).
cnf(refute_0_2229,plain,
pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),add(X_589,X_591)),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),multiply(n1,add(X_589,X_591)))) )],[refute_0_2223,refute_0_2228]) ).
cnf(refute_0_2230,plain,
pixley(X_592,inverse(X_593),n1) = add(multiply(X_592,X_593),add(X_592,X_593)),
inference(subst,[],[refute_0_2229:[bind(X_589,$fot(X_592)),bind(X_591,$fot(X_593))]]) ).
cnf(refute_0_2231,plain,
multiply(multiply(X_58,add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))),multiply(multiply(X_23,n1),X_58)) = multiply(multiply(X_23,n1),X_58),
inference(subst,[],[refute_0_236:[bind(X_21,$fot(X_58)),bind(X_22,$fot(multiply(X_22,multiply(X_23,n1)))),bind(X_23,$fot(multiply(X_23,n1)))]]) ).
cnf(refute_0_2232,plain,
( multiply(multiply(X_58,add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))),multiply(multiply(X_23,n1),X_58)) != multiply(multiply(X_23,n1),X_58)
| add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)) != multiply(multiply(X_23,n1),add(X_22,X_23))
| multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(multiply(X_23,n1),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))),multiply(multiply(X_23,n1),X_58)),multiply(multiply(X_23,n1),X_58)) ),[0,0,1],$fot(multiply(multiply(X_23,n1),add(X_22,X_23)))]]) ).
cnf(refute_0_2233,plain,
( multiply(multiply(X_58,add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))),multiply(multiply(X_23,n1),X_58)) != multiply(multiply(X_23,n1),X_58)
| multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(multiply(X_23,n1),X_58) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1)),multiply(multiply(X_23,n1),add(X_22,X_23))) )],[refute_0_161,refute_0_2232]) ).
cnf(refute_0_2234,plain,
multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(multiply(X_23,n1),X_58),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,add(multiply(X_22,multiply(X_23,n1)),multiply(X_23,n1))),multiply(multiply(X_23,n1),X_58)),multiply(multiply(X_23,n1),X_58)) )],[refute_0_2231,refute_0_2233]) ).
cnf(refute_0_2235,plain,
multiply(multiply(X_21,add(X_23,X_23)),multiply(X_23,X_21)) = multiply(X_23,X_21),
inference(subst,[],[refute_0_236:[bind(X_22,$fot(X_23))]]) ).
cnf(refute_0_2236,plain,
X_23 = add(X_23,X_23),
inference(subst,[],[refute_0_1528:[bind(Z,$fot(X_23))]]) ).
cnf(refute_0_2237,plain,
( X_23 != add(X_23,X_23)
| add(X_23,X_23) = X_23 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_23)),bind(Y0,$fot(add(X_23,X_23)))]]) ).
cnf(refute_0_2238,plain,
add(X_23,X_23) = X_23,
inference(resolve,[$cnf( $equal(X_23,add(X_23,X_23)) )],[refute_0_2236,refute_0_2237]) ).
cnf(refute_0_2239,plain,
( multiply(multiply(X_21,add(X_23,X_23)),multiply(X_23,X_21)) != multiply(X_23,X_21)
| add(X_23,X_23) != X_23
| multiply(multiply(X_21,X_23),multiply(X_23,X_21)) = multiply(X_23,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_21,add(X_23,X_23)),multiply(X_23,X_21)),multiply(X_23,X_21)) ),[0,0,1],$fot(X_23)]]) ).
cnf(refute_0_2240,plain,
( multiply(multiply(X_21,add(X_23,X_23)),multiply(X_23,X_21)) != multiply(X_23,X_21)
| multiply(multiply(X_21,X_23),multiply(X_23,X_21)) = multiply(X_23,X_21) ),
inference(resolve,[$cnf( $equal(add(X_23,X_23),X_23) )],[refute_0_2238,refute_0_2239]) ).
cnf(refute_0_2241,plain,
multiply(multiply(X_21,X_23),multiply(X_23,X_21)) = multiply(X_23,X_21),
inference(resolve,[$cnf( $equal(multiply(multiply(X_21,add(X_23,X_23)),multiply(X_23,X_21)),multiply(X_23,X_21)) )],[refute_0_2235,refute_0_2240]) ).
cnf(refute_0_2242,plain,
multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))) = multiply(X_58,multiply(X_23,n1)),
inference(subst,[],[refute_0_2241:[bind(X_21,$fot(multiply(X_23,n1))),bind(X_23,$fot(X_58))]]) ).
cnf(refute_0_2243,plain,
multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) = multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),
introduced(tautology,[refl,[$fot(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))))]]) ).
cnf(refute_0_2244,plain,
( multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) != multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))
| multiply(multiply(X_23,n1),add(X_22,X_23)) != multiply(X_23,n1)
| multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) = multiply(X_58,multiply(X_23,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) ),[1,1],$fot(multiply(X_23,n1))]]) ).
cnf(refute_0_2245,plain,
( multiply(multiply(X_23,n1),add(X_22,X_23)) != multiply(X_23,n1)
| multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) = multiply(X_58,multiply(X_23,n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) = multiply(X_58,multiply(X_23,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_22,X_23)),multiply(X_23,n1)) )],[refute_0_1553,refute_0_2245]) ).
cnf(refute_0_2247,plain,
multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))))]]) ).
cnf(refute_0_2248,plain,
( multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) != multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))),multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))))) ),[1,1],$fot(multiply(X_58,multiply(X_23,n1)))]]) ).
cnf(refute_0_2249,plain,
( multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))),multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))))) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(X_58,multiply(X_23,n1))) )],[refute_0_2246,refute_0_2249]) ).
cnf(refute_0_2251,plain,
( multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) != multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1)))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(X_58,multiply(X_23,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))))),bind(Y0,$fot(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))))),bind(Z0,$fot(multiply(X_58,multiply(X_23,n1))))]]) ).
cnf(refute_0_2252,plain,
( multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(X_58,multiply(X_23,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))),multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1)))) )],[refute_0_2250,refute_0_2251]) ).
cnf(refute_0_2253,plain,
multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) = multiply(X_58,multiply(X_23,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(X_23,n1))),multiply(X_58,multiply(X_23,n1))) )],[refute_0_2242,refute_0_2252]) ).
cnf(refute_0_2254,plain,
multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))),
inference(subst,[],[refute_0_1545:[bind(X,$fot(multiply(multiply(X_23,n1),X_58))),bind(Z,$fot(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))))]]) ).
cnf(refute_0_2255,plain,
( multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) != multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))))
| multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(X_58,multiply(X_23,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)))),bind(Y0,$fot(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))))),bind(Z0,$fot(multiply(X_58,multiply(X_23,n1))))]]) ).
cnf(refute_0_2256,plain,
( multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(X_58,multiply(X_23,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)),multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))))) )],[refute_0_2254,refute_0_2255]) ).
cnf(refute_0_2257,plain,
multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) = multiply(X_58,multiply(X_23,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_23,n1),X_58),multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23)))),multiply(X_58,multiply(X_23,n1))) )],[refute_0_2253,refute_0_2256]) ).
cnf(refute_0_2258,plain,
( multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) != multiply(X_58,multiply(X_23,n1))
| multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) != multiply(multiply(X_23,n1),X_58)
| multiply(X_58,multiply(X_23,n1)) = multiply(multiply(X_23,n1),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)),multiply(multiply(X_23,n1),X_58)) ),[0],$fot(multiply(X_58,multiply(X_23,n1)))]]) ).
cnf(refute_0_2259,plain,
( multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)) != multiply(multiply(X_23,n1),X_58)
| multiply(X_58,multiply(X_23,n1)) = multiply(multiply(X_23,n1),X_58) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)),multiply(X_58,multiply(X_23,n1))) )],[refute_0_2257,refute_0_2258]) ).
cnf(refute_0_2260,plain,
multiply(X_58,multiply(X_23,n1)) = multiply(multiply(X_23,n1),X_58),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,multiply(multiply(X_23,n1),add(X_22,X_23))),multiply(multiply(X_23,n1),X_58)),multiply(multiply(X_23,n1),X_58)) )],[refute_0_2234,refute_0_2259]) ).
cnf(refute_0_2261,plain,
multiply(X_23,n1) = X_23,
inference(subst,[],[refute_0_1827:[bind(X_55,$fot(X_23))]]) ).
cnf(refute_0_2262,plain,
multiply(X_58,multiply(X_23,n1)) = multiply(X_58,multiply(X_23,n1)),
introduced(tautology,[refl,[$fot(multiply(X_58,multiply(X_23,n1)))]]) ).
cnf(refute_0_2263,plain,
( multiply(X_23,n1) != X_23
| multiply(X_58,multiply(X_23,n1)) != multiply(X_58,multiply(X_23,n1))
| multiply(X_58,multiply(X_23,n1)) = multiply(X_58,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,multiply(X_23,n1)),multiply(X_58,multiply(X_23,n1))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_2264,plain,
( multiply(X_23,n1) != X_23
| multiply(X_58,multiply(X_23,n1)) = multiply(X_58,X_23) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_23,n1)),multiply(X_58,multiply(X_23,n1))) )],[refute_0_2262,refute_0_2263]) ).
cnf(refute_0_2265,plain,
multiply(X_58,multiply(X_23,n1)) = multiply(X_58,X_23),
inference(resolve,[$cnf( $equal(multiply(X_23,n1),X_23) )],[refute_0_2261,refute_0_2264]) ).
cnf(refute_0_2266,plain,
( multiply(X_58,multiply(X_23,n1)) != multiply(X_58,X_23)
| multiply(X_58,multiply(X_23,n1)) != multiply(multiply(X_23,n1),X_58)
| multiply(X_58,X_23) = multiply(multiply(X_23,n1),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_58,multiply(X_23,n1)),multiply(multiply(X_23,n1),X_58)) ),[0],$fot(multiply(X_58,X_23))]]) ).
cnf(refute_0_2267,plain,
( multiply(X_58,multiply(X_23,n1)) != multiply(multiply(X_23,n1),X_58)
| multiply(X_58,X_23) = multiply(multiply(X_23,n1),X_58) ),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_23,n1)),multiply(X_58,X_23)) )],[refute_0_2265,refute_0_2266]) ).
cnf(refute_0_2268,plain,
multiply(multiply(X_23,n1),X_58) = multiply(multiply(X_23,n1),X_58),
introduced(tautology,[refl,[$fot(multiply(multiply(X_23,n1),X_58))]]) ).
cnf(refute_0_2269,plain,
( multiply(X_23,n1) != X_23
| multiply(multiply(X_23,n1),X_58) != multiply(multiply(X_23,n1),X_58)
| multiply(multiply(X_23,n1),X_58) = multiply(X_23,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,n1),X_58),multiply(multiply(X_23,n1),X_58)) ),[1,0],$fot(X_23)]]) ).
cnf(refute_0_2270,plain,
( multiply(X_23,n1) != X_23
| multiply(multiply(X_23,n1),X_58) = multiply(X_23,X_58) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),X_58),multiply(multiply(X_23,n1),X_58)) )],[refute_0_2268,refute_0_2269]) ).
cnf(refute_0_2271,plain,
multiply(multiply(X_23,n1),X_58) = multiply(X_23,X_58),
inference(resolve,[$cnf( $equal(multiply(X_23,n1),X_23) )],[refute_0_2261,refute_0_2270]) ).
cnf(refute_0_2272,plain,
( multiply(X_58,X_23) != multiply(multiply(X_23,n1),X_58)
| multiply(multiply(X_23,n1),X_58) != multiply(X_23,X_58)
| multiply(X_58,X_23) = multiply(X_23,X_58) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_58,X_23),multiply(X_23,X_58)) ),[0],$fot(multiply(multiply(X_23,n1),X_58))]]) ).
cnf(refute_0_2273,plain,
( multiply(X_58,X_23) != multiply(multiply(X_23,n1),X_58)
| multiply(X_58,X_23) = multiply(X_23,X_58) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),X_58),multiply(X_23,X_58)) )],[refute_0_2271,refute_0_2272]) ).
cnf(refute_0_2274,plain,
( multiply(X_58,multiply(X_23,n1)) != multiply(multiply(X_23,n1),X_58)
| multiply(X_58,X_23) = multiply(X_23,X_58) ),
inference(resolve,[$cnf( $equal(multiply(X_58,X_23),multiply(multiply(X_23,n1),X_58)) )],[refute_0_2267,refute_0_2273]) ).
cnf(refute_0_2275,plain,
multiply(X_58,X_23) = multiply(X_23,X_58),
inference(resolve,[$cnf( $equal(multiply(X_58,multiply(X_23,n1)),multiply(multiply(X_23,n1),X_58)) )],[refute_0_2260,refute_0_2274]) ).
cnf(refute_0_2276,plain,
multiply(X_593,X_592) = multiply(X_592,X_593),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_592)),bind(X_58,$fot(X_593))]]) ).
cnf(refute_0_2277,plain,
( multiply(X_593,X_592) != multiply(X_592,X_593)
| multiply(X_592,X_593) = multiply(X_593,X_592) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_593,X_592))),bind(Y0,$fot(multiply(X_592,X_593)))]]) ).
cnf(refute_0_2278,plain,
multiply(X_592,X_593) = multiply(X_593,X_592),
inference(resolve,[$cnf( $equal(multiply(X_593,X_592),multiply(X_592,X_593)) )],[refute_0_2276,refute_0_2277]) ).
cnf(refute_0_2279,plain,
( multiply(X_592,X_593) != multiply(X_593,X_592)
| pixley(X_592,inverse(X_593),n1) != add(multiply(X_592,X_593),add(X_592,X_593))
| pixley(X_592,inverse(X_593),n1) = add(multiply(X_593,X_592),add(X_592,X_593)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_592,inverse(X_593),n1),add(multiply(X_592,X_593),add(X_592,X_593))) ),[1,0],$fot(multiply(X_593,X_592))]]) ).
cnf(refute_0_2280,plain,
( pixley(X_592,inverse(X_593),n1) != add(multiply(X_592,X_593),add(X_592,X_593))
| pixley(X_592,inverse(X_593),n1) = add(multiply(X_593,X_592),add(X_592,X_593)) ),
inference(resolve,[$cnf( $equal(multiply(X_592,X_593),multiply(X_593,X_592)) )],[refute_0_2278,refute_0_2279]) ).
cnf(refute_0_2281,plain,
pixley(X_592,inverse(X_593),n1) = add(multiply(X_593,X_592),add(X_592,X_593)),
inference(resolve,[$cnf( $equal(pixley(X_592,inverse(X_593),n1),add(multiply(X_592,X_593),add(X_592,X_593))) )],[refute_0_2230,refute_0_2280]) ).
cnf(refute_0_2282,plain,
pixley(X_1133,inverse(multiply(X_281,X_804)),n1) = add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))),
inference(subst,[],[refute_0_2281:[bind(X_592,$fot(X_1133)),bind(X_593,$fot(multiply(X_281,X_804)))]]) ).
cnf(refute_0_2283,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,add(multiply(X_22,inverse(X_111)),inverse(X_111)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))),
inference(subst,[],[refute_0_374:[bind(X,$fot(X_109)),bind(X_10,$fot(multiply(X_22,inverse(X_111)))),bind(X_11,$fot(X_111))]]) ).
cnf(refute_0_2284,plain,
multiply(inverse(X_111),add(X_22,n1)) = add(multiply(X_22,inverse(X_111)),inverse(X_111)),
inference(subst,[],[refute_0_60:[bind(X,$fot(X_111))]]) ).
cnf(refute_0_2285,plain,
( multiply(inverse(X_111),add(X_22,n1)) != add(multiply(X_22,inverse(X_111)),inverse(X_111))
| add(multiply(X_22,inverse(X_111)),inverse(X_111)) = multiply(inverse(X_111),add(X_22,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_111),add(X_22,n1)))),bind(Y0,$fot(add(multiply(X_22,inverse(X_111)),inverse(X_111))))]]) ).
cnf(refute_0_2286,plain,
add(multiply(X_22,inverse(X_111)),inverse(X_111)) = multiply(inverse(X_111),add(X_22,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),add(X_22,n1)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
( add(multiply(X_22,inverse(X_111)),inverse(X_111)) != multiply(inverse(X_111),add(X_22,n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,add(multiply(X_22,inverse(X_111)),inverse(X_111)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,add(multiply(X_22,inverse(X_111)),inverse(X_111)))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))) ),[0,2,1],$fot(multiply(inverse(X_111),add(X_22,n1)))]]) ).
cnf(refute_0_2288,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,add(multiply(X_22,inverse(X_111)),inverse(X_111)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) )],[refute_0_2286,refute_0_2287]) ).
cnf(refute_0_2289,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,add(multiply(X_22,inverse(X_111)),inverse(X_111)))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))) )],[refute_0_2283,refute_0_2288]) ).
cnf(refute_0_2290,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))),
introduced(tautology,[refl,[$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))))]]) ).
cnf(refute_0_2291,plain,
( add(multiply(X_22,inverse(X_111)),inverse(X_111)) != multiply(inverse(X_111),add(X_22,n1))
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))) ),[1,1],$fot(multiply(inverse(X_111),add(X_22,n1)))]]) ).
cnf(refute_0_2292,plain,
( add(multiply(X_22,inverse(X_111)),inverse(X_111)) != multiply(inverse(X_111),add(X_22,n1))
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))) )],[refute_0_2290,refute_0_2291]) ).
cnf(refute_0_2293,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))),
inference(resolve,[$cnf( $equal(add(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) )],[refute_0_2286,refute_0_2292]) ).
cnf(refute_0_2294,plain,
( add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))) ),[1],$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))))]]) ).
cnf(refute_0_2295,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) )],[refute_0_2293,refute_0_2294]) ).
cnf(refute_0_2296,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),add(multiply(X_22,inverse(X_111)),inverse(X_111)))) )],[refute_0_2289,refute_0_2295]) ).
cnf(refute_0_2297,plain,
multiply(inverse(X_111),add(X_22,n1)) = multiply(inverse(X_111),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_22)),bind(X_54,$fot(X_111))]]) ).
cnf(refute_0_2298,plain,
add(X_109,multiply(inverse(X_111),add(X_22,n1))) = add(X_109,multiply(inverse(X_111),add(X_22,n1))),
introduced(tautology,[refl,[$fot(add(X_109,multiply(inverse(X_111),add(X_22,n1))))]]) ).
cnf(refute_0_2299,plain,
( multiply(inverse(X_111),add(X_22,n1)) != multiply(inverse(X_111),n1)
| add(X_109,multiply(inverse(X_111),add(X_22,n1))) != add(X_109,multiply(inverse(X_111),add(X_22,n1)))
| add(X_109,multiply(inverse(X_111),add(X_22,n1))) = add(X_109,multiply(inverse(X_111),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_109,multiply(inverse(X_111),add(X_22,n1))),add(X_109,multiply(inverse(X_111),add(X_22,n1)))) ),[1,1],$fot(multiply(inverse(X_111),n1))]]) ).
cnf(refute_0_2300,plain,
( multiply(inverse(X_111),add(X_22,n1)) != multiply(inverse(X_111),n1)
| add(X_109,multiply(inverse(X_111),add(X_22,n1))) = add(X_109,multiply(inverse(X_111),n1)) ),
inference(resolve,[$cnf( $equal(add(X_109,multiply(inverse(X_111),add(X_22,n1))),add(X_109,multiply(inverse(X_111),add(X_22,n1)))) )],[refute_0_2298,refute_0_2299]) ).
cnf(refute_0_2301,plain,
add(X_109,multiply(inverse(X_111),add(X_22,n1))) = add(X_109,multiply(inverse(X_111),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),add(X_22,n1)),multiply(inverse(X_111),n1)) )],[refute_0_2297,refute_0_2300]) ).
cnf(refute_0_2302,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),
introduced(tautology,[refl,[$fot(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))))]]) ).
cnf(refute_0_2303,plain,
( add(X_109,multiply(inverse(X_111),add(X_22,n1))) != add(X_109,multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1))))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1))))) ),[1,2],$fot(add(X_109,multiply(inverse(X_111),n1)))]]) ).
cnf(refute_0_2304,plain,
( add(X_109,multiply(inverse(X_111),add(X_22,n1))) != add(X_109,multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1))))) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),
inference(resolve,[$cnf( $equal(add(X_109,multiply(inverse(X_111),add(X_22,n1))),add(X_109,multiply(inverse(X_111),n1))) )],[refute_0_2301,refute_0_2304]) ).
cnf(refute_0_2306,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) ),[0],$fot(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))))]]) ).
cnf(refute_0_2307,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1)))) )],[refute_0_2305,refute_0_2306]) ).
cnf(refute_0_2308,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))),
introduced(tautology,[refl,[$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))))]]) ).
cnf(refute_0_2309,plain,
( multiply(inverse(X_111),add(X_22,n1)) != multiply(inverse(X_111),n1)
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) ),[1,1],$fot(multiply(inverse(X_111),n1))]]) ).
cnf(refute_0_2310,plain,
( multiply(inverse(X_111),add(X_22,n1)) != multiply(inverse(X_111),n1)
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) )],[refute_0_2308,refute_0_2309]) ).
cnf(refute_0_2311,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),add(X_22,n1)),multiply(inverse(X_111),n1)) )],[refute_0_2297,refute_0_2310]) ).
cnf(refute_0_2312,plain,
( add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) ),[1],$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)))]]) ).
cnf(refute_0_2313,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) )],[refute_0_2311,refute_0_2312]) ).
cnf(refute_0_2314,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) )],[refute_0_2307,refute_0_2313]) ).
cnf(refute_0_2315,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),add(X_22,n1)))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),add(X_22,n1)))) )],[refute_0_2296,refute_0_2314]) ).
cnf(refute_0_2316,plain,
multiply(n1,inverse(X_111)) = inverse(X_111),
inference(subst,[],[refute_0_32:[bind(X,$fot(X_111))]]) ).
cnf(refute_0_2317,plain,
multiply(inverse(X_111),n1) = multiply(n1,inverse(X_111)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X_111)))]]) ).
cnf(refute_0_2318,plain,
( multiply(inverse(X_111),n1) != multiply(n1,inverse(X_111))
| multiply(n1,inverse(X_111)) != inverse(X_111)
| multiply(inverse(X_111),n1) = inverse(X_111) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_111),n1))),bind(Y0,$fot(multiply(n1,inverse(X_111)))),bind(Z0,$fot(inverse(X_111)))]]) ).
cnf(refute_0_2319,plain,
( multiply(n1,inverse(X_111)) != inverse(X_111)
| multiply(inverse(X_111),n1) = inverse(X_111) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),n1),multiply(n1,inverse(X_111))) )],[refute_0_2317,refute_0_2318]) ).
cnf(refute_0_2320,plain,
multiply(inverse(X_111),n1) = inverse(X_111),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_111)),inverse(X_111)) )],[refute_0_2316,refute_0_2319]) ).
cnf(refute_0_2321,plain,
add(X_109,multiply(inverse(X_111),n1)) = add(X_109,multiply(inverse(X_111),n1)),
introduced(tautology,[refl,[$fot(add(X_109,multiply(inverse(X_111),n1)))]]) ).
cnf(refute_0_2322,plain,
( multiply(inverse(X_111),n1) != inverse(X_111)
| add(X_109,multiply(inverse(X_111),n1)) != add(X_109,multiply(inverse(X_111),n1))
| add(X_109,multiply(inverse(X_111),n1)) = add(X_109,inverse(X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_109,multiply(inverse(X_111),n1)),add(X_109,multiply(inverse(X_111),n1))) ),[1,1],$fot(inverse(X_111))]]) ).
cnf(refute_0_2323,plain,
( multiply(inverse(X_111),n1) != inverse(X_111)
| add(X_109,multiply(inverse(X_111),n1)) = add(X_109,inverse(X_111)) ),
inference(resolve,[$cnf( $equal(add(X_109,multiply(inverse(X_111),n1)),add(X_109,multiply(inverse(X_111),n1))) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
add(X_109,multiply(inverse(X_111),n1)) = add(X_109,inverse(X_111)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),n1),inverse(X_111)) )],[refute_0_2320,refute_0_2323]) ).
cnf(refute_0_2325,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),
introduced(tautology,[refl,[$fot(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))))]]) ).
cnf(refute_0_2326,plain,
( add(X_109,multiply(inverse(X_111),n1)) != add(X_109,inverse(X_111))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1)))) ),[1,2],$fot(add(X_109,inverse(X_111)))]]) ).
cnf(refute_0_2327,plain,
( add(X_109,multiply(inverse(X_111),n1)) != add(X_109,inverse(X_111))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1)))) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) = pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))),
inference(resolve,[$cnf( $equal(add(X_109,multiply(inverse(X_111),n1)),add(X_109,inverse(X_111))) )],[refute_0_2324,refute_0_2327]) ).
cnf(refute_0_2329,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111)))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) ),[0],$fot(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))))]]) ).
cnf(refute_0_2330,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111)))) )],[refute_0_2328,refute_0_2329]) ).
cnf(refute_0_2331,plain,
multiply(inverse(X),add(X_22,n1)) = multiply(inverse(X),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_22)),bind(X_54,$fot(X))]]) ).
cnf(refute_0_2332,plain,
( multiply(inverse(X),add(X_22,n1)) != multiply(inverse(X),n1)
| multiply(inverse(X),add(X_22,n1)) != add(multiply(X_22,inverse(X)),inverse(X))
| multiply(inverse(X),n1) = add(multiply(X_22,inverse(X)),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(X_22,n1)),add(multiply(X_22,inverse(X)),inverse(X))) ),[0],$fot(multiply(inverse(X),n1))]]) ).
cnf(refute_0_2333,plain,
( multiply(inverse(X),add(X_22,n1)) != add(multiply(X_22,inverse(X)),inverse(X))
| multiply(inverse(X),n1) = add(multiply(X_22,inverse(X)),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_22,n1)),multiply(inverse(X),n1)) )],[refute_0_2331,refute_0_2332]) ).
cnf(refute_0_2334,plain,
multiply(inverse(X),n1) = add(multiply(X_22,inverse(X)),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_22,n1)),add(multiply(X_22,inverse(X)),inverse(X))) )],[refute_0_60,refute_0_2333]) ).
cnf(refute_0_2335,plain,
multiply(inverse(X),n1) = multiply(n1,inverse(X)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X)))]]) ).
cnf(refute_0_2336,plain,
( multiply(inverse(X),n1) != multiply(n1,inverse(X))
| multiply(n1,inverse(X)) != inverse(X)
| multiply(inverse(X),n1) = inverse(X) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X),n1))),bind(Y0,$fot(multiply(n1,inverse(X)))),bind(Z0,$fot(inverse(X)))]]) ).
cnf(refute_0_2337,plain,
( multiply(n1,inverse(X)) != inverse(X)
| multiply(inverse(X),n1) = inverse(X) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),n1),multiply(n1,inverse(X))) )],[refute_0_2335,refute_0_2336]) ).
cnf(refute_0_2338,plain,
multiply(inverse(X),n1) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_32,refute_0_2337]) ).
cnf(refute_0_2339,plain,
( multiply(inverse(X),n1) != add(multiply(X_22,inverse(X)),inverse(X))
| multiply(inverse(X),n1) != inverse(X)
| inverse(X) = add(multiply(X_22,inverse(X)),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),n1),add(multiply(X_22,inverse(X)),inverse(X))) ),[0],$fot(inverse(X))]]) ).
cnf(refute_0_2340,plain,
( multiply(inverse(X),n1) != add(multiply(X_22,inverse(X)),inverse(X))
| inverse(X) = add(multiply(X_22,inverse(X)),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),n1),inverse(X)) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
inverse(X) = add(multiply(X_22,inverse(X)),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),n1),add(multiply(X_22,inverse(X)),inverse(X))) )],[refute_0_2334,refute_0_2340]) ).
cnf(refute_0_2342,plain,
( inverse(X) != add(multiply(X_22,inverse(X)),inverse(X))
| add(multiply(X_22,inverse(X)),inverse(X)) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(add(multiply(X_22,inverse(X)),inverse(X))))]]) ).
cnf(refute_0_2343,plain,
add(multiply(X_22,inverse(X)),inverse(X)) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),add(multiply(X_22,inverse(X)),inverse(X))) )],[refute_0_2341,refute_0_2342]) ).
cnf(refute_0_2344,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)) = inverse(X_111),
inference(subst,[],[refute_0_2343:[bind(X,$fot(X_111)),bind(X_22,$fot(multiply(X_22,inverse(X_111))))]]) ).
cnf(refute_0_2345,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),
introduced(tautology,[refl,[$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)))]]) ).
cnf(refute_0_2346,plain,
( multiply(inverse(X_111),n1) != inverse(X_111)
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) ),[1,1],$fot(inverse(X_111))]]) ).
cnf(refute_0_2347,plain,
( multiply(inverse(X_111),n1) != inverse(X_111)
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) )],[refute_0_2345,refute_0_2346]) ).
cnf(refute_0_2348,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_111),n1),inverse(X_111)) )],[refute_0_2320,refute_0_2347]) ).
cnf(refute_0_2349,plain,
( add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111))
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)) != inverse(X_111)
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = inverse(X_111) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)))),bind(Y0,$fot(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)))),bind(Z0,$fot(inverse(X_111)))]]) ).
cnf(refute_0_2350,plain,
( add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)) != inverse(X_111)
| add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = inverse(X_111) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111))) )],[refute_0_2348,refute_0_2349]) ).
cnf(refute_0_2351,plain,
add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) = inverse(X_111),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),inverse(X_111)),inverse(X_111)) )],[refute_0_2344,refute_0_2350]) ).
cnf(refute_0_2352,plain,
( add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)) != inverse(X_111)
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) = inverse(X_111) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) ),[1],$fot(inverse(X_111))]]) ).
cnf(refute_0_2353,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) = inverse(X_111) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1)),inverse(X_111)) )],[refute_0_2351,refute_0_2352]) ).
cnf(refute_0_2354,plain,
( pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))) != add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))
| pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) = inverse(X_111) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) )],[refute_0_2330,refute_0_2353]) ).
cnf(refute_0_2355,plain,
pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,inverse(X_111))) = inverse(X_111),
inference(resolve,[$cnf( $equal(pixley(multiply(X_22,inverse(X_111)),X_111,add(X_109,multiply(inverse(X_111),n1))),add(multiply(multiply(X_22,inverse(X_111)),inverse(X_111)),multiply(inverse(X_111),n1))) )],[refute_0_2315,refute_0_2354]) ).
cnf(refute_0_2356,plain,
pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,inverse(inverse(Y)))) = inverse(inverse(Y)),
inference(subst,[],[refute_0_2355:[bind(X_109,$fot(X_330)),bind(X_111,$fot(inverse(Y))),bind(X_22,$fot(X_332))]]) ).
cnf(refute_0_2357,plain,
( Y != inverse(inverse(Y))
| inverse(inverse(Y)) = Y ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Y)),bind(Y0,$fot(inverse(inverse(Y))))]]) ).
cnf(refute_0_2358,plain,
inverse(inverse(Y)) = Y,
inference(resolve,[$cnf( $equal(Y,inverse(inverse(Y))) )],[refute_0_2201,refute_0_2357]) ).
cnf(refute_0_2359,plain,
( inverse(inverse(Y)) != Y
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,inverse(inverse(Y)))) != inverse(inverse(Y))
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = inverse(inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,inverse(inverse(Y)))),inverse(inverse(Y))) ),[0,2,1],$fot(Y)]]) ).
cnf(refute_0_2360,plain,
( pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,inverse(inverse(Y)))) != inverse(inverse(Y))
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = inverse(inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2359]) ).
cnf(refute_0_2361,plain,
pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = inverse(inverse(Y)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,inverse(inverse(Y)))),inverse(inverse(Y))) )],[refute_0_2356,refute_0_2360]) ).
cnf(refute_0_2362,plain,
multiply(X_332,inverse(inverse(Y))) = multiply(X_332,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_332,inverse(inverse(Y))))]]) ).
cnf(refute_0_2363,plain,
( multiply(X_332,inverse(inverse(Y))) != multiply(X_332,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(X_332,inverse(inverse(Y))) = multiply(X_332,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_332,inverse(inverse(Y))),multiply(X_332,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_2364,plain,
( inverse(inverse(Y)) != Y
| multiply(X_332,inverse(inverse(Y))) = multiply(X_332,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_332,inverse(inverse(Y))),multiply(X_332,inverse(inverse(Y)))) )],[refute_0_2362,refute_0_2363]) ).
cnf(refute_0_2365,plain,
multiply(X_332,inverse(inverse(Y))) = multiply(X_332,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2364]) ).
cnf(refute_0_2366,plain,
pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)),
introduced(tautology,[refl,[$fot(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)))]]) ).
cnf(refute_0_2367,plain,
( multiply(X_332,inverse(inverse(Y))) != multiply(X_332,Y)
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) != pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y))
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)),pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y))) ),[1,0],$fot(multiply(X_332,Y))]]) ).
cnf(refute_0_2368,plain,
( multiply(X_332,inverse(inverse(Y))) != multiply(X_332,Y)
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)),pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y))) )],[refute_0_2366,refute_0_2367]) ).
cnf(refute_0_2369,plain,
pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) = pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)),
inference(resolve,[$cnf( $equal(multiply(X_332,inverse(inverse(Y))),multiply(X_332,Y)) )],[refute_0_2365,refute_0_2368]) ).
cnf(refute_0_2370,plain,
( pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) != inverse(inverse(Y))
| pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) != pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y))
| pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) = inverse(inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)),inverse(inverse(Y))) ),[0],$fot(pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)))]]) ).
cnf(refute_0_2371,plain,
( pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) != inverse(inverse(Y))
| pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) = inverse(inverse(Y)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)),pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y))) )],[refute_0_2369,refute_0_2370]) ).
cnf(refute_0_2372,plain,
( inverse(inverse(Y)) != Y
| pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) != inverse(inverse(Y))
| pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)),inverse(inverse(Y))) ),[1],$fot(Y)]]) ).
cnf(refute_0_2373,plain,
( pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) != inverse(inverse(Y))
| pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) = Y ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2372]) ).
cnf(refute_0_2374,plain,
( pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)) != inverse(inverse(Y))
| pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) = Y ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)),inverse(inverse(Y))) )],[refute_0_2371,refute_0_2373]) ).
cnf(refute_0_2375,plain,
pixley(multiply(X_332,Y),inverse(Y),add(X_330,Y)) = Y,
inference(resolve,[$cnf( $equal(pixley(multiply(X_332,inverse(inverse(Y))),inverse(Y),add(X_330,Y)),inverse(inverse(Y))) )],[refute_0_2361,refute_0_2374]) ).
cnf(refute_0_2376,plain,
pixley(multiply(X_346,multiply(X_346,X_281)),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))) = multiply(X_346,X_281),
inference(subst,[],[refute_0_2375:[bind(Y,$fot(multiply(X_346,X_281))),bind(X_330,$fot(X_345)),bind(X_332,$fot(X_346))]]) ).
cnf(refute_0_2377,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) = multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(multiply(X_82,inverse(X_11))))]]) ).
cnf(refute_0_2378,plain,
multiply(inverse(X_11),add(X_82,n1)) = add(multiply(X_82,inverse(X_11)),inverse(X_11)),
inference(subst,[],[refute_0_60:[bind(X,$fot(X_11)),bind(X_22,$fot(X_82))]]) ).
cnf(refute_0_2379,plain,
( multiply(inverse(X_11),add(X_82,n1)) != add(multiply(X_82,inverse(X_11)),inverse(X_11))
| add(multiply(X_82,inverse(X_11)),inverse(X_11)) = multiply(inverse(X_11),add(X_82,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_11),add(X_82,n1)))),bind(Y0,$fot(add(multiply(X_82,inverse(X_11)),inverse(X_11))))]]) ).
cnf(refute_0_2380,plain,
add(multiply(X_82,inverse(X_11)),inverse(X_11)) = multiply(inverse(X_11),add(X_82,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),add(X_82,n1)),add(multiply(X_82,inverse(X_11)),inverse(X_11))) )],[refute_0_2378,refute_0_2379]) ).
cnf(refute_0_2381,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) != multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))
| add(multiply(X_82,inverse(X_11)),inverse(X_11)) != multiply(inverse(X_11),add(X_82,n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) ),[0,1,1],$fot(multiply(inverse(X_11),add(X_82,n1)))]]) ).
cnf(refute_0_2382,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) != multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_82,inverse(X_11)),inverse(X_11)),multiply(inverse(X_11),add(X_82,n1))) )],[refute_0_2380,refute_0_2381]) ).
cnf(refute_0_2383,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) )],[refute_0_2377,refute_0_2382]) ).
cnf(refute_0_2384,plain,
multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) = multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))))]]) ).
cnf(refute_0_2385,plain,
( multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) != multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))
| add(multiply(X_82,inverse(X_11)),inverse(X_11)) != multiply(inverse(X_11),add(X_82,n1))
| multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) ),[1,1],$fot(multiply(inverse(X_11),add(X_82,n1)))]]) ).
cnf(refute_0_2386,plain,
( add(multiply(X_82,inverse(X_11)),inverse(X_11)) != multiply(inverse(X_11),add(X_82,n1))
| multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),
inference(resolve,[$cnf( $equal(add(multiply(X_82,inverse(X_11)),inverse(X_11)),multiply(inverse(X_11),add(X_82,n1))) )],[refute_0_2380,refute_0_2386]) ).
cnf(refute_0_2388,plain,
( multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) ),[1],$fot(multiply(X_12,multiply(inverse(X_11),add(X_82,n1))))]]) ).
cnf(refute_0_2389,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) )],[refute_0_2387,refute_0_2388]) ).
cnf(refute_0_2390,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(X_12,add(multiply(X_82,inverse(X_11)),inverse(X_11)))) )],[refute_0_2383,refute_0_2389]) ).
cnf(refute_0_2391,plain,
multiply(inverse(X_11),add(X_82,n1)) = multiply(inverse(X_11),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_82)),bind(X_54,$fot(X_11))]]) ).
cnf(refute_0_2392,plain,
multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,multiply(inverse(X_11),add(X_82,n1))))]]) ).
cnf(refute_0_2393,plain,
( multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(inverse(X_11),add(X_82,n1)) != multiply(inverse(X_11),n1)
| multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) ),[1,1],$fot(multiply(inverse(X_11),n1))]]) ).
cnf(refute_0_2394,plain,
( multiply(inverse(X_11),add(X_82,n1)) != multiply(inverse(X_11),n1)
| multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) )],[refute_0_2392,refute_0_2393]) ).
cnf(refute_0_2395,plain,
multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) = multiply(X_12,multiply(inverse(X_11),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),add(X_82,n1)),multiply(inverse(X_11),n1)) )],[refute_0_2391,refute_0_2394]) ).
cnf(refute_0_2396,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),
introduced(tautology,[refl,[$fot(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))))]]) ).
cnf(refute_0_2397,plain,
( multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1))))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1))))) ),[1,1],$fot(multiply(X_12,multiply(inverse(X_11),n1)))]]) ).
cnf(refute_0_2398,plain,
( multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1))))) )],[refute_0_2396,refute_0_2397]) ).
cnf(refute_0_2399,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_2395,refute_0_2398]) ).
cnf(refute_0_2400,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) ),[0],$fot(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))))]]) ).
cnf(refute_0_2401,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1)))) )],[refute_0_2399,refute_0_2400]) ).
cnf(refute_0_2402,plain,
( multiply(X_12,multiply(inverse(X_11),add(X_82,n1))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) ),[1],$fot(multiply(X_12,multiply(inverse(X_11),n1)))]]) ).
cnf(refute_0_2403,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),add(X_82,n1))),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_2395,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) != multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) )],[refute_0_2401,refute_0_2403]) ).
cnf(refute_0_2405,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(X_12,multiply(inverse(X_11),n1)),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))),multiply(X_12,multiply(inverse(X_11),add(X_82,n1)))) )],[refute_0_2390,refute_0_2404]) ).
cnf(refute_0_2406,plain,
multiply(inverse(X_11),n1) = multiply(n1,inverse(X_11)),
inference(subst,[],[refute_0_1201:[bind(X_12,$fot(inverse(X_11)))]]) ).
cnf(refute_0_2407,plain,
( multiply(inverse(X_11),n1) != multiply(n1,inverse(X_11))
| multiply(n1,inverse(X_11)) != inverse(X_11)
| multiply(inverse(X_11),n1) = inverse(X_11) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_11),n1))),bind(Y0,$fot(multiply(n1,inverse(X_11)))),bind(Z0,$fot(inverse(X_11)))]]) ).
cnf(refute_0_2408,plain,
( multiply(n1,inverse(X_11)) != inverse(X_11)
| multiply(inverse(X_11),n1) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),n1),multiply(n1,inverse(X_11))) )],[refute_0_2406,refute_0_2407]) ).
cnf(refute_0_2409,plain,
multiply(inverse(X_11),n1) = inverse(X_11),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_11)),inverse(X_11)) )],[refute_0_956,refute_0_2408]) ).
cnf(refute_0_2410,plain,
multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,multiply(inverse(X_11),n1)),
introduced(tautology,[refl,[$fot(multiply(X_12,multiply(inverse(X_11),n1)))]]) ).
cnf(refute_0_2411,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(inverse(X_11),n1) != inverse(X_11)
| multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,multiply(inverse(X_11),n1))) ),[1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_2412,plain,
( multiply(inverse(X_11),n1) != inverse(X_11)
| multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_2410,refute_0_2411]) ).
cnf(refute_0_2413,plain,
multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),n1),inverse(X_11)) )],[refute_0_2409,refute_0_2412]) ).
cnf(refute_0_2414,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),
introduced(tautology,[refl,[$fot(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))))]]) ).
cnf(refute_0_2415,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,inverse(X_11))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1)))) ),[1,1],$fot(multiply(X_12,inverse(X_11)))]]) ).
cnf(refute_0_2416,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,inverse(X_11))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1)))) )],[refute_0_2414,refute_0_2415]) ).
cnf(refute_0_2417,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) = multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,inverse(X_11))) )],[refute_0_2413,refute_0_2416]) ).
cnf(refute_0_2418,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11)))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(X_12,multiply(inverse(X_11),n1))) ),[0],$fot(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))))]]) ).
cnf(refute_0_2419,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11)))) )],[refute_0_2417,refute_0_2418]) ).
cnf(refute_0_2420,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,inverse(X_11))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(X_12,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))),multiply(X_12,multiply(inverse(X_11),n1))) ),[1],$fot(multiply(X_12,inverse(X_11)))]]) ).
cnf(refute_0_2421,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(X_12,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,inverse(X_11))) )],[refute_0_2413,refute_0_2420]) ).
cnf(refute_0_2422,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(X_12,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_2419,refute_0_2421]) ).
cnf(refute_0_2423,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(X_12,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,multiply(inverse(X_11),n1))),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_2405,refute_0_2422]) ).
cnf(refute_0_2424,plain,
multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) = multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(multiply(X_12,inverse(X_11)))),bind(Z,$fot(pixley(multiply(X_82,inverse(X_11)),X_11,X_12)))]]) ).
cnf(refute_0_2425,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) != multiply(X_12,inverse(X_11))
| multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) != multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12))
| multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12)) = multiply(X_12,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))),multiply(X_12,inverse(X_11))) ),[0],$fot(multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12)))]]) ).
cnf(refute_0_2426,plain,
( multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))) != multiply(X_12,inverse(X_11))
| multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12)) = multiply(X_12,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))),multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12))) )],[refute_0_2424,refute_0_2425]) ).
cnf(refute_0_2427,plain,
multiply(multiply(X_12,inverse(X_11)),pixley(multiply(X_82,inverse(X_11)),X_11,X_12)) = multiply(X_12,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_82,inverse(X_11)),X_11,X_12),multiply(X_12,inverse(X_11))),multiply(X_12,inverse(X_11))) )],[refute_0_2423,refute_0_2426]) ).
cnf(refute_0_2428,plain,
multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) = multiply(X_275,inverse(X_274)),
inference(subst,[],[refute_0_2427:[bind(X_11,$fot(X_274)),bind(X_12,$fot(X_275)),bind(X_82,$fot(X_276))]]) ).
cnf(refute_0_2429,plain,
multiply(inverse(X_274),X_275) = multiply(X_275,inverse(X_274)),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_275)),bind(X_58,$fot(inverse(X_274)))]]) ).
cnf(refute_0_2430,plain,
( multiply(inverse(X_274),X_275) != multiply(X_275,inverse(X_274))
| multiply(X_275,inverse(X_274)) = multiply(inverse(X_274),X_275) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_274),X_275))),bind(Y0,$fot(multiply(X_275,inverse(X_274))))]]) ).
cnf(refute_0_2431,plain,
multiply(X_275,inverse(X_274)) = multiply(inverse(X_274),X_275),
inference(resolve,[$cnf( $equal(multiply(inverse(X_274),X_275),multiply(X_275,inverse(X_274))) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
( multiply(X_275,inverse(X_274)) != multiply(inverse(X_274),X_275)
| multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) != multiply(X_275,inverse(X_274))
| multiply(multiply(inverse(X_274),X_275),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) = multiply(X_275,inverse(X_274)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)),multiply(X_275,inverse(X_274))) ),[0,0],$fot(multiply(inverse(X_274),X_275))]]) ).
cnf(refute_0_2433,plain,
( multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) != multiply(X_275,inverse(X_274))
| multiply(multiply(inverse(X_274),X_275),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) = multiply(X_275,inverse(X_274)) ),
inference(resolve,[$cnf( $equal(multiply(X_275,inverse(X_274)),multiply(inverse(X_274),X_275)) )],[refute_0_2431,refute_0_2432]) ).
cnf(refute_0_2434,plain,
multiply(multiply(inverse(X_274),X_275),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) = multiply(X_275,inverse(X_274)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)),multiply(X_275,inverse(X_274))) )],[refute_0_2428,refute_0_2433]) ).
cnf(refute_0_2435,plain,
multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,inverse(inverse(Y))),inverse(Y),X_278)) = multiply(X_278,inverse(inverse(Y))),
inference(subst,[],[refute_0_2434:[bind(X_274,$fot(inverse(Y))),bind(X_275,$fot(X_278)),bind(X_276,$fot(X_279))]]) ).
cnf(refute_0_2436,plain,
( multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,inverse(inverse(Y))),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,inverse(inverse(Y))),inverse(Y),X_278)),multiply(X_278,inverse(inverse(Y)))) ),[0,1,0,1],$fot(Y)]]) ).
cnf(refute_0_2437,plain,
( multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,inverse(inverse(Y))),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2436]) ).
cnf(refute_0_2438,plain,
multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,inverse(inverse(Y))),inverse(Y),X_278)),multiply(X_278,inverse(inverse(Y)))) )],[refute_0_2435,refute_0_2437]) ).
cnf(refute_0_2439,plain,
multiply(inverse(inverse(Y)),X_278) = multiply(inverse(inverse(Y)),X_278),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),X_278))]]) ).
cnf(refute_0_2440,plain,
( multiply(inverse(inverse(Y)),X_278) != multiply(inverse(inverse(Y)),X_278)
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_278) = multiply(Y,X_278) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_278),multiply(inverse(inverse(Y)),X_278)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_2441,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_278) = multiply(Y,X_278) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_278),multiply(inverse(inverse(Y)),X_278)) )],[refute_0_2439,refute_0_2440]) ).
cnf(refute_0_2442,plain,
multiply(inverse(inverse(Y)),X_278) = multiply(Y,X_278),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2441]) ).
cnf(refute_0_2443,plain,
multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)))]]) ).
cnf(refute_0_2444,plain,
( multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278))
| multiply(inverse(inverse(Y)),X_278) != multiply(Y,X_278)
| multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278))) ),[1,0],$fot(multiply(Y,X_278))]]) ).
cnf(refute_0_2445,plain,
( multiply(inverse(inverse(Y)),X_278) != multiply(Y,X_278)
| multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278))) )],[refute_0_2443,refute_0_2444]) ).
cnf(refute_0_2446,plain,
multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_278),multiply(Y,X_278)) )],[refute_0_2442,refute_0_2445]) ).
cnf(refute_0_2447,plain,
( multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278))
| multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(X_278,inverse(inverse(Y)))) ),[0],$fot(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)))]]) ).
cnf(refute_0_2448,plain,
( multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278))) )],[refute_0_2446,refute_0_2447]) ).
cnf(refute_0_2449,plain,
multiply(X_278,inverse(inverse(Y))) = multiply(X_278,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_278,inverse(inverse(Y))))]]) ).
cnf(refute_0_2450,plain,
( multiply(X_278,inverse(inverse(Y))) != multiply(X_278,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(X_278,inverse(inverse(Y))) = multiply(X_278,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_278,inverse(inverse(Y))),multiply(X_278,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_2451,plain,
( inverse(inverse(Y)) != Y
| multiply(X_278,inverse(inverse(Y))) = multiply(X_278,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_278,inverse(inverse(Y))),multiply(X_278,inverse(inverse(Y)))) )],[refute_0_2449,refute_0_2450]) ).
cnf(refute_0_2452,plain,
multiply(X_278,inverse(inverse(Y))) = multiply(X_278,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2451]) ).
cnf(refute_0_2453,plain,
( multiply(X_278,inverse(inverse(Y))) != multiply(X_278,Y)
| multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(X_278,inverse(inverse(Y)))) ),[1],$fot(multiply(X_278,Y))]]) ).
cnf(refute_0_2454,plain,
( multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_278,inverse(inverse(Y))),multiply(X_278,Y)) )],[refute_0_2452,refute_0_2453]) ).
cnf(refute_0_2455,plain,
( multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(X_278,inverse(inverse(Y)))
| multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(X_278,inverse(inverse(Y)))) )],[refute_0_2448,refute_0_2454]) ).
cnf(refute_0_2456,plain,
multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) = multiply(X_278,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(Y)),X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(X_278,inverse(inverse(Y)))) )],[refute_0_2438,refute_0_2455]) ).
cnf(refute_0_2457,plain,
multiply(multiply(X_280,X_281),pixley(multiply(X_280,X_280),inverse(X_280),X_281)) = multiply(X_281,X_280),
inference(subst,[],[refute_0_2456:[bind(Y,$fot(X_280)),bind(X_278,$fot(X_281)),bind(X_279,$fot(X_280))]]) ).
cnf(refute_0_2458,plain,
multiply(X_280,X_280) = X_280,
inference(subst,[],[refute_0_1333:[bind(X_179,$fot(X_280))]]) ).
cnf(refute_0_2459,plain,
( multiply(X_280,X_280) != X_280
| multiply(multiply(X_280,X_281),pixley(multiply(X_280,X_280),inverse(X_280),X_281)) != multiply(X_281,X_280)
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(X_281,X_280) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(multiply(X_280,X_280),inverse(X_280),X_281)),multiply(X_281,X_280)) ),[0,1,0],$fot(X_280)]]) ).
cnf(refute_0_2460,plain,
( multiply(multiply(X_280,X_281),pixley(multiply(X_280,X_280),inverse(X_280),X_281)) != multiply(X_281,X_280)
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(X_281,X_280) ),
inference(resolve,[$cnf( $equal(multiply(X_280,X_280),X_280) )],[refute_0_2458,refute_0_2459]) ).
cnf(refute_0_2461,plain,
multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(X_281,X_280),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(multiply(X_280,X_280),inverse(X_280),X_281)),multiply(X_281,X_280)) )],[refute_0_2457,refute_0_2460]) ).
cnf(refute_0_2462,plain,
multiply(multiply(X_280,X_281),X_280) = multiply(X_280,multiply(X_280,X_281)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(X_280)),bind(Z,$fot(multiply(X_280,X_281)))]]) ).
cnf(refute_0_2463,plain,
pixley(X,inverse(X),Z) = add(multiply(X,inverse(inverse(X))),multiply(Z,add(X,inverse(inverse(X))))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_2464,plain,
multiply(inverse(inverse(X_55)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),
inference(subst,[],[refute_0_582:[bind(X_53,$fot(inverse(inverse(X_55))))]]) ).
cnf(refute_0_2465,plain,
n1 = add(inverse(inverse(X_55)),inverse(X_55)),
inference(subst,[],[refute_0_1233:[bind(X_107,$fot(X_55))]]) ).
cnf(refute_0_2466,plain,
( n1 != add(inverse(inverse(X_55)),inverse(X_55))
| add(inverse(inverse(X_55)),inverse(X_55)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(inverse(X_55)),inverse(X_55))))]]) ).
cnf(refute_0_2467,plain,
add(inverse(inverse(X_55)),inverse(X_55)) = n1,
inference(resolve,[$cnf( $equal(n1,add(inverse(inverse(X_55)),inverse(X_55))) )],[refute_0_2465,refute_0_2466]) ).
cnf(refute_0_2468,plain,
( multiply(inverse(inverse(X_55)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| add(inverse(inverse(X_55)),inverse(X_55)) != n1
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_2469,plain,
( multiply(inverse(inverse(X_55)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_55)),inverse(X_55)),n1) )],[refute_0_2467,refute_0_2468]) ).
cnf(refute_0_2470,plain,
multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) )],[refute_0_2464,refute_0_2469]) ).
cnf(refute_0_2471,plain,
multiply(inverse(inverse(X_55)),X_55) = multiply(X_55,inverse(inverse(X_55))),
inference(subst,[],[refute_0_2178:[bind(Z,$fot(X_55)),bind(X_243,$fot(inverse(X_55)))]]) ).
cnf(refute_0_2472,plain,
multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(inverse(inverse(X_55)),multiply(X_55,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_55)),multiply(X_55,n1)))]]) ).
cnf(refute_0_2473,plain,
( multiply(X_55,n1) != X_55
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) != multiply(inverse(inverse(X_55)),multiply(X_55,n1))
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(inverse(inverse(X_55)),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,n1)),multiply(inverse(inverse(X_55)),multiply(X_55,n1))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_2474,plain,
( multiply(X_55,n1) != X_55
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(inverse(inverse(X_55)),X_55) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,n1)),multiply(inverse(inverse(X_55)),multiply(X_55,n1))) )],[refute_0_2472,refute_0_2473]) ).
cnf(refute_0_2475,plain,
multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(inverse(inverse(X_55)),X_55),
inference(resolve,[$cnf( $equal(multiply(X_55,n1),X_55) )],[refute_0_1827,refute_0_2474]) ).
cnf(refute_0_2476,plain,
( multiply(inverse(inverse(X_55)),X_55) != multiply(X_55,inverse(inverse(X_55)))
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) != multiply(inverse(inverse(X_55)),X_55)
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(X_55,inverse(inverse(X_55))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(inverse(X_55)),multiply(X_55,n1)))),bind(Y0,$fot(multiply(inverse(inverse(X_55)),X_55))),bind(Z0,$fot(multiply(X_55,inverse(inverse(X_55)))))]]) ).
cnf(refute_0_2477,plain,
( multiply(inverse(inverse(X_55)),X_55) != multiply(X_55,inverse(inverse(X_55)))
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(X_55,inverse(inverse(X_55))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,n1)),multiply(inverse(inverse(X_55)),X_55)) )],[refute_0_2475,refute_0_2476]) ).
cnf(refute_0_2478,plain,
multiply(inverse(inverse(X_55)),multiply(X_55,n1)) = multiply(X_55,inverse(inverse(X_55))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_55),multiply(X_55,inverse(inverse(X_55)))) )],[refute_0_2471,refute_0_2477]) ).
cnf(refute_0_2479,plain,
( multiply(inverse(inverse(X_55)),multiply(X_55,n1)) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| multiply(inverse(inverse(X_55)),multiply(X_55,n1)) != multiply(X_55,inverse(inverse(X_55)))
| multiply(X_55,inverse(inverse(X_55))) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,n1)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) ),[0],$fot(multiply(X_55,inverse(inverse(X_55))))]]) ).
cnf(refute_0_2480,plain,
( multiply(inverse(inverse(X_55)),multiply(X_55,n1)) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| multiply(X_55,inverse(inverse(X_55))) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,n1)),multiply(X_55,inverse(inverse(X_55)))) )],[refute_0_2478,refute_0_2479]) ).
cnf(refute_0_2481,plain,
multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),
introduced(tautology,[refl,[$fot(multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))))]]) ).
cnf(refute_0_2482,plain,
( multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| add(inverse(inverse(X_55)),inverse(X_55)) != n1
| multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = multiply(X_55,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2483,plain,
( add(inverse(inverse(X_55)),inverse(X_55)) != n1
| multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = multiply(X_55,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = multiply(X_55,n1),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_55)),inverse(X_55)),n1) )],[refute_0_2467,refute_0_2483]) ).
cnf(refute_0_2485,plain,
( multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) != multiply(X_55,n1)
| multiply(X_55,n1) != X_55
| multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = X_55 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))))),bind(Y0,$fot(multiply(X_55,n1))),bind(Z0,$fot(X_55))]]) ).
cnf(refute_0_2486,plain,
( multiply(X_55,n1) != X_55
| multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),multiply(X_55,n1)) )],[refute_0_2484,refute_0_2485]) ).
cnf(refute_0_2487,plain,
multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) = X_55,
inference(resolve,[$cnf( $equal(multiply(X_55,n1),X_55) )],[refute_0_1827,refute_0_2486]) ).
cnf(refute_0_2488,plain,
( multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))) != X_55
| multiply(X_55,inverse(inverse(X_55))) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| multiply(X_55,inverse(inverse(X_55))) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,inverse(inverse(X_55))),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) ),[1],$fot(X_55)]]) ).
cnf(refute_0_2489,plain,
( multiply(X_55,inverse(inverse(X_55))) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| multiply(X_55,inverse(inverse(X_55))) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55))),X_55) )],[refute_0_2487,refute_0_2488]) ).
cnf(refute_0_2490,plain,
( multiply(inverse(inverse(X_55)),multiply(X_55,n1)) != multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))
| multiply(X_55,inverse(inverse(X_55))) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(X_55,inverse(inverse(X_55))),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) )],[refute_0_2480,refute_0_2489]) ).
cnf(refute_0_2491,plain,
multiply(X_55,inverse(inverse(X_55))) = X_55,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),multiply(X_55,n1)),multiply(X_55,add(inverse(inverse(X_55)),inverse(X_55)))) )],[refute_0_2470,refute_0_2490]) ).
cnf(refute_0_2492,plain,
multiply(X,inverse(inverse(X))) = X,
inference(subst,[],[refute_0_2491:[bind(X_55,$fot(X))]]) ).
cnf(refute_0_2493,plain,
( multiply(X,inverse(inverse(X))) != X
| pixley(X,inverse(X),Z) != add(multiply(X,inverse(inverse(X))),multiply(Z,add(X,inverse(inverse(X)))))
| pixley(X,inverse(X),Z) = add(X,multiply(Z,add(X,inverse(inverse(X))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X),Z),add(multiply(X,inverse(inverse(X))),multiply(Z,add(X,inverse(inverse(X)))))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_2494,plain,
( pixley(X,inverse(X),Z) != add(multiply(X,inverse(inverse(X))),multiply(Z,add(X,inverse(inverse(X)))))
| pixley(X,inverse(X),Z) = add(X,multiply(Z,add(X,inverse(inverse(X))))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(X))),X) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
pixley(X,inverse(X),Z) = add(X,multiply(Z,add(X,inverse(inverse(X))))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X),Z),add(multiply(X,inverse(inverse(X))),multiply(Z,add(X,inverse(inverse(X)))))) )],[refute_0_2463,refute_0_2494]) ).
cnf(refute_0_2496,plain,
multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = add(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(Z,add(X_26,X_26))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_26,X_26))),bind(Y,$fot(multiply(X_26,n1)))]]) ).
cnf(refute_0_2497,plain,
( multiply(multiply(X_26,n1),add(X_26,X_26)) != multiply(n1,add(X_26,X_26))
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != add(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(Z,add(X_26,X_26)))
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),add(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(Z,add(X_26,X_26)))) ),[1,0],$fot(multiply(n1,add(X_26,X_26)))]]) ).
cnf(refute_0_2498,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != add(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(Z,add(X_26,X_26)))
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(n1,add(X_26,X_26))) )],[refute_0_1830,refute_0_2497]) ).
cnf(refute_0_2499,plain,
multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),add(multiply(multiply(X_26,n1),add(X_26,X_26)),multiply(Z,add(X_26,X_26)))) )],[refute_0_2496,refute_0_2498]) ).
cnf(refute_0_2500,plain,
add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))) = multiply(add(X_26,X_26),add(n1,Z)),
inference(subst,[],[refute_0_4:[bind(X,$fot(add(X_26,X_26))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_2501,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26)))
| add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))) != multiply(add(X_26,X_26),add(n1,Z))
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(add(X_26,X_26),add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),multiply(add(X_26,X_26),add(n1,Z))) ),[0],$fot(add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))))]]) ).
cnf(refute_0_2502,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26)))
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(add(X_26,X_26),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26))),multiply(add(X_26,X_26),add(n1,Z))) )],[refute_0_2500,refute_0_2501]) ).
cnf(refute_0_2503,plain,
multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(add(X_26,X_26),add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),add(multiply(n1,add(X_26,X_26)),multiply(Z,add(X_26,X_26)))) )],[refute_0_2499,refute_0_2502]) ).
cnf(refute_0_2504,plain,
multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),
introduced(tautology,[refl,[$fot(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)))]]) ).
cnf(refute_0_2505,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != multiply(add(X_26,X_26),add(multiply(X_26,n1),Z))
| add(X_26,X_26) != X_26
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(X_26,add(multiply(X_26,n1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),multiply(add(X_26,X_26),add(multiply(X_26,n1),Z))) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_2506,plain,
( add(X_26,X_26) != X_26
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(X_26,add(multiply(X_26,n1),Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),multiply(add(X_26,X_26),add(multiply(X_26,n1),Z))) )],[refute_0_2504,refute_0_2505]) ).
cnf(refute_0_2507,plain,
multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) = multiply(X_26,add(multiply(X_26,n1),Z)),
inference(resolve,[$cnf( $equal(add(X_26,X_26),X_26) )],[refute_0_1849,refute_0_2506]) ).
cnf(refute_0_2508,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != multiply(X_26,add(multiply(X_26,n1),Z))
| multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != multiply(add(X_26,X_26),add(n1,Z))
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(add(X_26,X_26),add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),multiply(add(X_26,X_26),add(n1,Z))) ),[0],$fot(multiply(X_26,add(multiply(X_26,n1),Z)))]]) ).
cnf(refute_0_2509,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != multiply(add(X_26,X_26),add(n1,Z))
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(add(X_26,X_26),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),multiply(X_26,add(multiply(X_26,n1),Z))) )],[refute_0_2507,refute_0_2508]) ).
cnf(refute_0_2510,plain,
multiply(add(X_26,X_26),add(n1,Z)) = multiply(add(X_26,X_26),add(n1,Z)),
introduced(tautology,[refl,[$fot(multiply(add(X_26,X_26),add(n1,Z)))]]) ).
cnf(refute_0_2511,plain,
( multiply(add(X_26,X_26),add(n1,Z)) != multiply(add(X_26,X_26),add(n1,Z))
| add(X_26,X_26) != X_26
| multiply(add(X_26,X_26),add(n1,Z)) = multiply(X_26,add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_26,X_26),add(n1,Z)),multiply(add(X_26,X_26),add(n1,Z))) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_2512,plain,
( add(X_26,X_26) != X_26
| multiply(add(X_26,X_26),add(n1,Z)) = multiply(X_26,add(n1,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(n1,Z)),multiply(add(X_26,X_26),add(n1,Z))) )],[refute_0_2510,refute_0_2511]) ).
cnf(refute_0_2513,plain,
multiply(add(X_26,X_26),add(n1,Z)) = multiply(X_26,add(n1,Z)),
inference(resolve,[$cnf( $equal(add(X_26,X_26),X_26) )],[refute_0_1849,refute_0_2512]) ).
cnf(refute_0_2514,plain,
( multiply(X_26,add(multiply(X_26,n1),Z)) != multiply(add(X_26,X_26),add(n1,Z))
| multiply(add(X_26,X_26),add(n1,Z)) != multiply(X_26,add(n1,Z))
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(X_26,add(n1,Z))) ),[0],$fot(multiply(add(X_26,X_26),add(n1,Z)))]]) ).
cnf(refute_0_2515,plain,
( multiply(X_26,add(multiply(X_26,n1),Z)) != multiply(add(X_26,X_26),add(n1,Z))
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(n1,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(n1,Z)),multiply(X_26,add(n1,Z))) )],[refute_0_2513,refute_0_2514]) ).
cnf(refute_0_2516,plain,
( multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)) != multiply(add(X_26,X_26),add(n1,Z))
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(n1,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(add(X_26,X_26),add(n1,Z))) )],[refute_0_2509,refute_0_2515]) ).
cnf(refute_0_2517,plain,
multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_26,X_26),add(multiply(X_26,n1),Z)),multiply(add(X_26,X_26),add(n1,Z))) )],[refute_0_2503,refute_0_2516]) ).
cnf(refute_0_2518,plain,
add(multiply(X_26,n1),Z) = add(multiply(X_26,n1),Z),
introduced(tautology,[refl,[$fot(add(multiply(X_26,n1),Z))]]) ).
cnf(refute_0_2519,plain,
( multiply(X_26,n1) != X_26
| add(multiply(X_26,n1),Z) != add(multiply(X_26,n1),Z)
| add(multiply(X_26,n1),Z) = add(X_26,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_26,n1),Z),add(multiply(X_26,n1),Z)) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_2520,plain,
( multiply(X_26,n1) != X_26
| add(multiply(X_26,n1),Z) = add(X_26,Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X_26,n1),Z),add(multiply(X_26,n1),Z)) )],[refute_0_2518,refute_0_2519]) ).
cnf(refute_0_2521,plain,
add(multiply(X_26,n1),Z) = add(X_26,Z),
inference(resolve,[$cnf( $equal(multiply(X_26,n1),X_26) )],[refute_0_1865,refute_0_2520]) ).
cnf(refute_0_2522,plain,
multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(multiply(X_26,n1),Z)),
introduced(tautology,[refl,[$fot(multiply(X_26,add(multiply(X_26,n1),Z)))]]) ).
cnf(refute_0_2523,plain,
( multiply(X_26,add(multiply(X_26,n1),Z)) != multiply(X_26,add(multiply(X_26,n1),Z))
| add(multiply(X_26,n1),Z) != add(X_26,Z)
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(X_26,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(X_26,add(multiply(X_26,n1),Z))) ),[1,1],$fot(add(X_26,Z))]]) ).
cnf(refute_0_2524,plain,
( add(multiply(X_26,n1),Z) != add(X_26,Z)
| multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(X_26,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(X_26,add(multiply(X_26,n1),Z))) )],[refute_0_2522,refute_0_2523]) ).
cnf(refute_0_2525,plain,
multiply(X_26,add(multiply(X_26,n1),Z)) = multiply(X_26,add(X_26,Z)),
inference(resolve,[$cnf( $equal(add(multiply(X_26,n1),Z),add(X_26,Z)) )],[refute_0_2521,refute_0_2524]) ).
cnf(refute_0_2526,plain,
( multiply(X_26,add(multiply(X_26,n1),Z)) != multiply(X_26,add(X_26,Z))
| multiply(X_26,add(multiply(X_26,n1),Z)) != multiply(X_26,add(n1,Z))
| multiply(X_26,add(X_26,Z)) = multiply(X_26,add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(X_26,add(n1,Z))) ),[0],$fot(multiply(X_26,add(X_26,Z)))]]) ).
cnf(refute_0_2527,plain,
( multiply(X_26,add(multiply(X_26,n1),Z)) != multiply(X_26,add(n1,Z))
| multiply(X_26,add(X_26,Z)) = multiply(X_26,add(n1,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(X_26,add(X_26,Z))) )],[refute_0_2525,refute_0_2526]) ).
cnf(refute_0_2528,plain,
multiply(X_26,add(X_26,Z)) = multiply(X_26,add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(X_26,add(multiply(X_26,n1),Z)),multiply(X_26,add(n1,Z))) )],[refute_0_2517,refute_0_2527]) ).
cnf(refute_0_2529,plain,
multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) = add(inverse(X_211),multiply(add(X,add(n1,X_211)),add(n1,X_211))),
inference(subst,[],[refute_0_1468:[bind(Z,$fot(add(X,add(n1,X_211)))),bind(X_190,$fot(X_211))]]) ).
cnf(refute_0_2530,plain,
multiply(add(X,add(n1,X_211)),add(n1,X_211)) = add(n1,X_211),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(n1,X_211)))]]) ).
cnf(refute_0_2531,plain,
( multiply(add(X,add(n1,X_211)),add(n1,X_211)) != add(n1,X_211)
| multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) != add(inverse(X_211),multiply(add(X,add(n1,X_211)),add(n1,X_211)))
| multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) = add(inverse(X_211),add(n1,X_211)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))),add(inverse(X_211),multiply(add(X,add(n1,X_211)),add(n1,X_211)))) ),[1,1],$fot(add(n1,X_211))]]) ).
cnf(refute_0_2532,plain,
( multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) != add(inverse(X_211),multiply(add(X,add(n1,X_211)),add(n1,X_211)))
| multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) = add(inverse(X_211),add(n1,X_211)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(n1,X_211)),add(n1,X_211)),add(n1,X_211)) )],[refute_0_2530,refute_0_2531]) ).
cnf(refute_0_2533,plain,
multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) = add(inverse(X_211),add(n1,X_211)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))),add(inverse(X_211),multiply(add(X,add(n1,X_211)),add(n1,X_211)))) )],[refute_0_2529,refute_0_2532]) ).
cnf(refute_0_2534,plain,
add(multiply(X_22,X_21),X_21) = multiply(X_21,add(X_22,X_21)),
inference(subst,[],[refute_0_1339:[bind(X,$fot(X_21)),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_2535,plain,
( multiply(X_21,add(X_22,add(X,X_21))) != add(multiply(X_22,X_21),X_21)
| add(multiply(X_22,X_21),X_21) != multiply(X_21,add(X_22,X_21))
| multiply(X_21,add(X_22,add(X,X_21))) = multiply(X_21,add(X_22,X_21)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_21,add(X_22,add(X,X_21))),multiply(X_21,add(X_22,X_21))) ),[0],$fot(add(multiply(X_22,X_21),X_21))]]) ).
cnf(refute_0_2536,plain,
( multiply(X_21,add(X_22,add(X,X_21))) != add(multiply(X_22,X_21),X_21)
| multiply(X_21,add(X_22,add(X,X_21))) = multiply(X_21,add(X_22,X_21)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_22,X_21),X_21),multiply(X_21,add(X_22,X_21))) )],[refute_0_2534,refute_0_2535]) ).
cnf(refute_0_2537,plain,
multiply(X_21,add(X_22,add(X,X_21))) = multiply(X_21,add(X_22,X_21)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(X_22,add(X,X_21))),add(multiply(X_22,X_21),X_21)) )],[refute_0_85,refute_0_2536]) ).
cnf(refute_0_2538,plain,
multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) = multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))),
inference(subst,[],[refute_0_2537:[bind(X_21,$fot(add(n1,X_211))),bind(X_22,$fot(inverse(X_211)))]]) ).
cnf(refute_0_2539,plain,
( multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) != multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211)))
| multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) != add(inverse(X_211),add(n1,X_211))
| multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) = add(inverse(X_211),add(n1,X_211)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))),add(inverse(X_211),add(n1,X_211))) ),[0],$fot(multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))))]]) ).
cnf(refute_0_2540,plain,
( multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))) != add(inverse(X_211),add(n1,X_211))
| multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) = add(inverse(X_211),add(n1,X_211)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))),multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211)))) )],[refute_0_2538,refute_0_2539]) ).
cnf(refute_0_2541,plain,
multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) = add(inverse(X_211),add(n1,X_211)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(X,add(n1,X_211)))),add(inverse(X_211),add(n1,X_211))) )],[refute_0_2533,refute_0_2540]) ).
cnf(refute_0_2542,plain,
multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) = add(n1,X_211),
inference(subst,[],[refute_0_1549:[bind(X,$fot(inverse(X_211))),bind(Y,$fot(add(n1,X_211)))]]) ).
cnf(refute_0_2543,plain,
( multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) != add(inverse(X_211),add(n1,X_211))
| multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) != add(n1,X_211)
| add(n1,X_211) = add(inverse(X_211),add(n1,X_211)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))),add(inverse(X_211),add(n1,X_211))) ),[0],$fot(add(n1,X_211))]]) ).
cnf(refute_0_2544,plain,
( multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) != add(inverse(X_211),add(n1,X_211))
| add(n1,X_211) = add(inverse(X_211),add(n1,X_211)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))),add(n1,X_211)) )],[refute_0_2542,refute_0_2543]) ).
cnf(refute_0_2545,plain,
add(n1,X_211) = add(inverse(X_211),add(n1,X_211)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_211),add(inverse(X_211),add(n1,X_211))),add(inverse(X_211),add(n1,X_211))) )],[refute_0_2541,refute_0_2544]) ).
cnf(refute_0_2546,plain,
multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(multiply(Y,add(add(n1,X_232),inverse(X_232))),multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232)))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(add(n1,X_232),inverse(X_232)))),bind(Z,$fot(add(n1,X_232)))]]) ).
cnf(refute_0_2547,plain,
multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) = add(multiply(add(X,add(n1,X_220)),add(n1,X_220)),inverse(X_220)),
inference(subst,[],[refute_0_1605:[bind(Y,$fot(add(X,add(n1,X_220)))),bind(X_190,$fot(X_220))]]) ).
cnf(refute_0_2548,plain,
multiply(add(X,add(n1,X_220)),add(n1,X_220)) = add(n1,X_220),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(n1,X_220)))]]) ).
cnf(refute_0_2549,plain,
( multiply(add(X,add(n1,X_220)),add(n1,X_220)) != add(n1,X_220)
| multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) != add(multiply(add(X,add(n1,X_220)),add(n1,X_220)),inverse(X_220))
| multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) = add(add(n1,X_220),inverse(X_220)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))),add(multiply(add(X,add(n1,X_220)),add(n1,X_220)),inverse(X_220))) ),[1,0],$fot(add(n1,X_220))]]) ).
cnf(refute_0_2550,plain,
( multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) != add(multiply(add(X,add(n1,X_220)),add(n1,X_220)),inverse(X_220))
| multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) = add(add(n1,X_220),inverse(X_220)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(n1,X_220)),add(n1,X_220)),add(n1,X_220)) )],[refute_0_2548,refute_0_2549]) ).
cnf(refute_0_2551,plain,
multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) = add(add(n1,X_220),inverse(X_220)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))),add(multiply(add(X,add(n1,X_220)),add(n1,X_220)),inverse(X_220))) )],[refute_0_2547,refute_0_2550]) ).
cnf(refute_0_2552,plain,
add(X_21,multiply(X_23,X_21)) = multiply(X_21,add(X_21,X_23)),
inference(subst,[],[refute_0_2105:[bind(X,$fot(X_21)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_2553,plain,
( multiply(X_21,add(add(X,X_21),X_23)) != add(X_21,multiply(X_23,X_21))
| add(X_21,multiply(X_23,X_21)) != multiply(X_21,add(X_21,X_23))
| multiply(X_21,add(add(X,X_21),X_23)) = multiply(X_21,add(X_21,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_21,add(add(X,X_21),X_23)),multiply(X_21,add(X_21,X_23))) ),[0],$fot(add(X_21,multiply(X_23,X_21)))]]) ).
cnf(refute_0_2554,plain,
( multiply(X_21,add(add(X,X_21),X_23)) != add(X_21,multiply(X_23,X_21))
| multiply(X_21,add(add(X,X_21),X_23)) = multiply(X_21,add(X_21,X_23)) ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_23,X_21)),multiply(X_21,add(X_21,X_23))) )],[refute_0_2552,refute_0_2553]) ).
cnf(refute_0_2555,plain,
multiply(X_21,add(add(X,X_21),X_23)) = multiply(X_21,add(X_21,X_23)),
inference(resolve,[$cnf( $equal(multiply(X_21,add(add(X,X_21),X_23)),add(X_21,multiply(X_23,X_21))) )],[refute_0_21,refute_0_2554]) ).
cnf(refute_0_2556,plain,
multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) = multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))),
inference(subst,[],[refute_0_2555:[bind(X_21,$fot(add(n1,X_220))),bind(X_23,$fot(inverse(X_220)))]]) ).
cnf(refute_0_2557,plain,
( multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) != multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220)))
| multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) != add(add(n1,X_220),inverse(X_220))
| multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = add(add(n1,X_220),inverse(X_220)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))),add(add(n1,X_220),inverse(X_220))) ),[0],$fot(multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))))]]) ).
cnf(refute_0_2558,plain,
( multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))) != add(add(n1,X_220),inverse(X_220))
| multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = add(add(n1,X_220),inverse(X_220)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))),multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220)))) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = add(add(n1,X_220),inverse(X_220)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(add(X,add(n1,X_220)),inverse(X_220))),add(add(n1,X_220),inverse(X_220))) )],[refute_0_2551,refute_0_2558]) ).
cnf(refute_0_2560,plain,
multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))) = add(add(n1,X_232),inverse(X_232)),
inference(subst,[],[refute_0_2559:[bind(X_220,$fot(X_232))]]) ).
cnf(refute_0_2561,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(multiply(Y,add(add(n1,X_232),inverse(X_232))),multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))))
| multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))) != add(add(n1,X_232),inverse(X_232))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(multiply(Y,add(add(n1,X_232),inverse(X_232))),multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))))) ),[1,1],$fot(add(add(n1,X_232),inverse(X_232)))]]) ).
cnf(refute_0_2562,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(multiply(Y,add(add(n1,X_232),inverse(X_232))),multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))) )],[refute_0_2560,refute_0_2561]) ).
cnf(refute_0_2563,plain,
multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))),
inference(resolve,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(multiply(Y,add(add(n1,X_232),inverse(X_232))),multiply(add(n1,X_232),add(add(n1,X_232),inverse(X_232))))) )],[refute_0_2546,refute_0_2562]) ).
cnf(refute_0_2564,plain,
multiply(X,add(Y,X)) = X,
inference(subst,[],[refute_0_1549:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_2565,plain,
( multiply(X,add(Y,X)) != X
| multiply(X,add(Y,X)) != add(multiply(Y,X),X)
| X = add(multiply(Y,X),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),X)) ),[0],$fot(X)]]) ).
cnf(refute_0_2566,plain,
( multiply(X,add(Y,X)) != add(multiply(Y,X),X)
| X = add(multiply(Y,X),X) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),X) )],[refute_0_2564,refute_0_2565]) ).
cnf(refute_0_2567,plain,
X = add(multiply(Y,X),X),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),X)) )],[refute_0_1337,refute_0_2566]) ).
cnf(refute_0_2568,plain,
( X != add(multiply(Y,X),X)
| add(multiply(Y,X),X) = X ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X)),bind(Y0,$fot(add(multiply(Y,X),X)))]]) ).
cnf(refute_0_2569,plain,
add(multiply(Y,X),X) = X,
inference(resolve,[$cnf( $equal(X,add(multiply(Y,X),X)) )],[refute_0_2567,refute_0_2568]) ).
cnf(refute_0_2570,plain,
add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))) = add(add(n1,X_232),inverse(X_232)),
inference(subst,[],[refute_0_2569:[bind(X,$fot(add(add(n1,X_232),inverse(X_232))))]]) ).
cnf(refute_0_2571,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232)))
| add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))) != add(add(n1,X_232),inverse(X_232))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(add(n1,X_232),inverse(X_232)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(add(n1,X_232),inverse(X_232))) ),[0],$fot(add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))))]]) ).
cnf(refute_0_2572,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232)))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(add(n1,X_232),inverse(X_232)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232))) )],[refute_0_2570,refute_0_2571]) ).
cnf(refute_0_2573,plain,
multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(add(n1,X_232),inverse(X_232)),
inference(resolve,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(multiply(Y,add(add(n1,X_232),inverse(X_232))),add(add(n1,X_232),inverse(X_232)))) )],[refute_0_2563,refute_0_2572]) ).
cnf(refute_0_2574,plain,
multiply(n1,add(Y,add(n1,X_232))) = add(Y,add(n1,X_232)),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(Y,add(n1,X_232))))]]) ).
cnf(refute_0_2575,plain,
multiply(n1,add(n1,X_220)) = n1,
inference(subst,[],[refute_0_1625:[bind(X_190,$fot(X_220))]]) ).
cnf(refute_0_2576,plain,
multiply(add(n1,X_220),n1) = multiply(n1,add(n1,X_220)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(n1)),bind(Z,$fot(add(n1,X_220)))]]) ).
cnf(refute_0_2577,plain,
( multiply(add(n1,X_220),n1) != multiply(n1,add(n1,X_220))
| multiply(n1,add(n1,X_220)) != n1
| multiply(add(n1,X_220),n1) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,X_220),n1))),bind(Y0,$fot(multiply(n1,add(n1,X_220)))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2578,plain,
( multiply(n1,add(n1,X_220)) != n1
| multiply(add(n1,X_220),n1) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),n1),multiply(n1,add(n1,X_220))) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
multiply(add(n1,X_220),n1) = n1,
inference(resolve,[$cnf( $equal(multiply(n1,add(n1,X_220)),n1) )],[refute_0_2575,refute_0_2578]) ).
cnf(refute_0_2580,plain,
add(n1,inverse(X_220)) = n1,
inference(subst,[],[refute_0_1631:[bind(X_54,$fot(X_220))]]) ).
cnf(refute_0_2581,plain,
multiply(add(n1,X_220),add(n1,inverse(X_220))) = multiply(add(n1,X_220),add(n1,inverse(X_220))),
introduced(tautology,[refl,[$fot(multiply(add(n1,X_220),add(n1,inverse(X_220))))]]) ).
cnf(refute_0_2582,plain,
( multiply(add(n1,X_220),add(n1,inverse(X_220))) != multiply(add(n1,X_220),add(n1,inverse(X_220)))
| add(n1,inverse(X_220)) != n1
| multiply(add(n1,X_220),add(n1,inverse(X_220))) = multiply(add(n1,X_220),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_220),add(n1,inverse(X_220))),multiply(add(n1,X_220),add(n1,inverse(X_220)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2583,plain,
( add(n1,inverse(X_220)) != n1
| multiply(add(n1,X_220),add(n1,inverse(X_220))) = multiply(add(n1,X_220),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(n1,inverse(X_220))),multiply(add(n1,X_220),add(n1,inverse(X_220)))) )],[refute_0_2581,refute_0_2582]) ).
cnf(refute_0_2584,plain,
multiply(add(n1,X_220),add(n1,inverse(X_220))) = multiply(add(n1,X_220),n1),
inference(resolve,[$cnf( $equal(add(n1,inverse(X_220)),n1) )],[refute_0_2580,refute_0_2583]) ).
cnf(refute_0_2585,plain,
( multiply(add(n1,X_220),add(n1,inverse(X_220))) != multiply(add(n1,X_220),n1)
| multiply(add(n1,X_220),n1) != n1
| multiply(add(n1,X_220),add(n1,inverse(X_220))) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,X_220),add(n1,inverse(X_220))))),bind(Y0,$fot(multiply(add(n1,X_220),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2586,plain,
( multiply(add(n1,X_220),n1) != n1
| multiply(add(n1,X_220),add(n1,inverse(X_220))) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(n1,inverse(X_220))),multiply(add(n1,X_220),n1)) )],[refute_0_2584,refute_0_2585]) ).
cnf(refute_0_2587,plain,
multiply(add(n1,X_220),add(n1,inverse(X_220))) = n1,
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),n1),n1) )],[refute_0_2579,refute_0_2586]) ).
cnf(refute_0_2588,plain,
multiply(X,add(n1,Z)) = add(multiply(n1,X),multiply(Z,X)),
inference(subst,[],[multiply_add_property:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_2589,plain,
( multiply(X,add(n1,Z)) != add(multiply(n1,X),multiply(Z,X))
| multiply(n1,X) != multiply(X,n1)
| multiply(X,add(n1,Z)) = add(multiply(X,n1),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(n1,Z)),add(multiply(n1,X),multiply(Z,X))) ),[1,0],$fot(multiply(X,n1))]]) ).
cnf(refute_0_2590,plain,
( multiply(X,add(n1,Z)) != add(multiply(n1,X),multiply(Z,X))
| multiply(X,add(n1,Z)) = add(multiply(X,n1),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(n1,X),multiply(X,n1)) )],[refute_0_1497,refute_0_2589]) ).
cnf(refute_0_2591,plain,
multiply(X,add(n1,Z)) = add(multiply(X,n1),multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(n1,Z)),add(multiply(n1,X),multiply(Z,X))) )],[refute_0_2588,refute_0_2590]) ).
cnf(refute_0_2592,plain,
add(multiply(X,n1),multiply(Z,X)) = add(multiply(X,n1),multiply(Z,X)),
introduced(tautology,[refl,[$fot(add(multiply(X,n1),multiply(Z,X)))]]) ).
cnf(refute_0_2593,plain,
( multiply(X,n1) != X
| add(multiply(X,n1),multiply(Z,X)) != add(multiply(X,n1),multiply(Z,X))
| add(multiply(X,n1),multiply(Z,X)) = add(X,multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,n1),multiply(Z,X)),add(multiply(X,n1),multiply(Z,X))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_2594,plain,
( multiply(X,n1) != X
| add(multiply(X,n1),multiply(Z,X)) = add(X,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,X)),add(multiply(X,n1),multiply(Z,X))) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
add(multiply(X,n1),multiply(Z,X)) = add(X,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,n1),X) )],[refute_0_1828,refute_0_2594]) ).
cnf(refute_0_2596,plain,
( add(X,multiply(Z,X)) != multiply(X,add(X,Z))
| add(multiply(X,n1),multiply(Z,X)) != add(X,multiply(Z,X))
| add(multiply(X,n1),multiply(Z,X)) = multiply(X,add(X,Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X,n1),multiply(Z,X)))),bind(Y0,$fot(add(X,multiply(Z,X)))),bind(Z0,$fot(multiply(X,add(X,Z))))]]) ).
cnf(refute_0_2597,plain,
( add(X,multiply(Z,X)) != multiply(X,add(X,Z))
| add(multiply(X,n1),multiply(Z,X)) = multiply(X,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,X)),add(X,multiply(Z,X))) )],[refute_0_2595,refute_0_2596]) ).
cnf(refute_0_2598,plain,
add(multiply(X,n1),multiply(Z,X)) = multiply(X,add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,X)),multiply(X,add(X,Z))) )],[refute_0_2105,refute_0_2597]) ).
cnf(refute_0_2599,plain,
( multiply(X,add(n1,Z)) != add(multiply(X,n1),multiply(Z,X))
| add(multiply(X,n1),multiply(Z,X)) != multiply(X,add(X,Z))
| multiply(X,add(n1,Z)) = multiply(X,add(X,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(n1,Z)),multiply(X,add(X,Z))) ),[0],$fot(add(multiply(X,n1),multiply(Z,X)))]]) ).
cnf(refute_0_2600,plain,
( multiply(X,add(n1,Z)) != add(multiply(X,n1),multiply(Z,X))
| multiply(X,add(n1,Z)) = multiply(X,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,X)),multiply(X,add(X,Z))) )],[refute_0_2598,refute_0_2599]) ).
cnf(refute_0_2601,plain,
multiply(X,add(n1,Z)) = multiply(X,add(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(n1,Z)),add(multiply(X,n1),multiply(Z,X))) )],[refute_0_2591,refute_0_2600]) ).
cnf(refute_0_2602,plain,
( multiply(X,add(n1,Z)) != multiply(X,add(X,Z))
| multiply(X,add(X,Z)) = multiply(X,add(n1,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(n1,Z)))),bind(Y0,$fot(multiply(X,add(X,Z))))]]) ).
cnf(refute_0_2603,plain,
multiply(X,add(X,Z)) = multiply(X,add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(n1,Z)),multiply(X,add(X,Z))) )],[refute_0_2601,refute_0_2602]) ).
cnf(refute_0_2604,plain,
multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = multiply(add(n1,X_220),add(n1,inverse(X_220))),
inference(subst,[],[refute_0_2603:[bind(X,$fot(add(n1,X_220))),bind(Z,$fot(inverse(X_220)))]]) ).
cnf(refute_0_2605,plain,
( multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) != multiply(add(n1,X_220),add(n1,inverse(X_220)))
| multiply(add(n1,X_220),add(n1,inverse(X_220))) != n1
| multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = n1 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))))),bind(Y0,$fot(multiply(add(n1,X_220),add(n1,inverse(X_220))))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_2606,plain,
( multiply(add(n1,X_220),add(n1,inverse(X_220))) != n1
| multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))),multiply(add(n1,X_220),add(n1,inverse(X_220)))) )],[refute_0_2604,refute_0_2605]) ).
cnf(refute_0_2607,plain,
multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) = n1,
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(n1,inverse(X_220))),n1) )],[refute_0_2587,refute_0_2606]) ).
cnf(refute_0_2608,plain,
( multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) != add(add(n1,X_220),inverse(X_220))
| multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) != n1
| n1 = add(add(n1,X_220),inverse(X_220)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))),add(add(n1,X_220),inverse(X_220))) ),[0],$fot(n1)]]) ).
cnf(refute_0_2609,plain,
( multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))) != add(add(n1,X_220),inverse(X_220))
| n1 = add(add(n1,X_220),inverse(X_220)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))),n1) )],[refute_0_2607,refute_0_2608]) ).
cnf(refute_0_2610,plain,
n1 = add(add(n1,X_220),inverse(X_220)),
inference(resolve,[$cnf( $equal(multiply(add(n1,X_220),add(add(n1,X_220),inverse(X_220))),add(add(n1,X_220),inverse(X_220))) )],[refute_0_2559,refute_0_2609]) ).
cnf(refute_0_2611,plain,
( n1 != add(add(n1,X_220),inverse(X_220))
| add(add(n1,X_220),inverse(X_220)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(add(n1,X_220),inverse(X_220))))]]) ).
cnf(refute_0_2612,plain,
add(add(n1,X_220),inverse(X_220)) = n1,
inference(resolve,[$cnf( $equal(n1,add(add(n1,X_220),inverse(X_220))) )],[refute_0_2610,refute_0_2611]) ).
cnf(refute_0_2613,plain,
add(add(n1,X_232),inverse(X_232)) = n1,
inference(subst,[],[refute_0_2612:[bind(X_220,$fot(X_232))]]) ).
cnf(refute_0_2614,plain,
multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),
introduced(tautology,[refl,[$fot(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))))]]) ).
cnf(refute_0_2615,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232)))
| add(add(n1,X_232),inverse(X_232)) != n1
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = multiply(n1,add(Y,add(n1,X_232))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232)))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_2616,plain,
( add(add(n1,X_232),inverse(X_232)) != n1
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = multiply(n1,add(Y,add(n1,X_232))) ),
inference(resolve,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232)))) )],[refute_0_2614,refute_0_2615]) ).
cnf(refute_0_2617,plain,
multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = multiply(n1,add(Y,add(n1,X_232))),
inference(resolve,[$cnf( $equal(add(add(n1,X_232),inverse(X_232)),n1) )],[refute_0_2613,refute_0_2616]) ).
cnf(refute_0_2618,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != multiply(n1,add(Y,add(n1,X_232)))
| multiply(n1,add(Y,add(n1,X_232))) != add(Y,add(n1,X_232))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(Y,add(n1,X_232)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))))),bind(Y0,$fot(multiply(n1,add(Y,add(n1,X_232))))),bind(Z0,$fot(add(Y,add(n1,X_232))))]]) ).
cnf(refute_0_2619,plain,
( multiply(n1,add(Y,add(n1,X_232))) != add(Y,add(n1,X_232))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(Y,add(n1,X_232)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),multiply(n1,add(Y,add(n1,X_232)))) )],[refute_0_2617,refute_0_2618]) ).
cnf(refute_0_2620,plain,
multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) = add(Y,add(n1,X_232)),
inference(resolve,[$cnf( $equal(multiply(n1,add(Y,add(n1,X_232))),add(Y,add(n1,X_232))) )],[refute_0_2574,refute_0_2619]) ).
cnf(refute_0_2621,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(Y,add(n1,X_232))
| multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(add(n1,X_232),inverse(X_232))
| add(Y,add(n1,X_232)) = add(add(n1,X_232),inverse(X_232)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(add(n1,X_232),inverse(X_232))) ),[0],$fot(add(Y,add(n1,X_232)))]]) ).
cnf(refute_0_2622,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(add(n1,X_232),inverse(X_232))
| add(Y,add(n1,X_232)) = add(add(n1,X_232),inverse(X_232)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(Y,add(n1,X_232))) )],[refute_0_2620,refute_0_2621]) ).
cnf(refute_0_2623,plain,
( add(Y,add(n1,X_232)) != add(add(n1,X_232),inverse(X_232))
| add(add(n1,X_232),inverse(X_232)) != n1
| add(Y,add(n1,X_232)) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(Y,add(n1,X_232)),n1) ),[0],$fot(add(add(n1,X_232),inverse(X_232)))]]) ).
cnf(refute_0_2624,plain,
( add(Y,add(n1,X_232)) != add(add(n1,X_232),inverse(X_232))
| add(Y,add(n1,X_232)) = n1 ),
inference(resolve,[$cnf( $equal(add(add(n1,X_232),inverse(X_232)),n1) )],[refute_0_2613,refute_0_2623]) ).
cnf(refute_0_2625,plain,
( multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))) != add(add(n1,X_232),inverse(X_232))
| add(Y,add(n1,X_232)) = n1 ),
inference(resolve,[$cnf( $equal(add(Y,add(n1,X_232)),add(add(n1,X_232),inverse(X_232))) )],[refute_0_2622,refute_0_2624]) ).
cnf(refute_0_2626,plain,
add(Y,add(n1,X_232)) = n1,
inference(resolve,[$cnf( $equal(multiply(add(add(n1,X_232),inverse(X_232)),add(Y,add(n1,X_232))),add(add(n1,X_232),inverse(X_232))) )],[refute_0_2573,refute_0_2625]) ).
cnf(refute_0_2627,plain,
add(inverse(X_211),add(n1,X_211)) = n1,
inference(subst,[],[refute_0_2626:[bind(Y,$fot(inverse(X_211))),bind(X_232,$fot(X_211))]]) ).
cnf(refute_0_2628,plain,
( add(inverse(X_211),add(n1,X_211)) != n1
| add(n1,X_211) != add(inverse(X_211),add(n1,X_211))
| add(n1,X_211) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) ),[1],$fot(n1)]]) ).
cnf(refute_0_2629,plain,
( add(n1,X_211) != add(inverse(X_211),add(n1,X_211))
| add(n1,X_211) = n1 ),
inference(resolve,[$cnf( $equal(add(inverse(X_211),add(n1,X_211)),n1) )],[refute_0_2627,refute_0_2628]) ).
cnf(refute_0_2630,plain,
add(n1,X_211) = n1,
inference(resolve,[$cnf( $equal(add(n1,X_211),add(inverse(X_211),add(n1,X_211))) )],[refute_0_2545,refute_0_2629]) ).
cnf(refute_0_2631,plain,
add(n1,Z) = n1,
inference(subst,[],[refute_0_2630:[bind(X_211,$fot(Z))]]) ).
cnf(refute_0_2632,plain,
multiply(X_26,add(n1,Z)) = multiply(X_26,add(n1,Z)),
introduced(tautology,[refl,[$fot(multiply(X_26,add(n1,Z)))]]) ).
cnf(refute_0_2633,plain,
( multiply(X_26,add(n1,Z)) != multiply(X_26,add(n1,Z))
| add(n1,Z) != n1
| multiply(X_26,add(n1,Z)) = multiply(X_26,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,add(n1,Z)),multiply(X_26,add(n1,Z))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2634,plain,
( add(n1,Z) != n1
| multiply(X_26,add(n1,Z)) = multiply(X_26,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(n1,Z)),multiply(X_26,add(n1,Z))) )],[refute_0_2632,refute_0_2633]) ).
cnf(refute_0_2635,plain,
multiply(X_26,add(n1,Z)) = multiply(X_26,n1),
inference(resolve,[$cnf( $equal(add(n1,Z),n1) )],[refute_0_2631,refute_0_2634]) ).
cnf(refute_0_2636,plain,
( multiply(X_26,add(n1,Z)) != multiply(X_26,n1)
| multiply(X_26,n1) != X_26
| multiply(X_26,add(n1,Z)) = X_26 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_26,add(n1,Z)))),bind(Y0,$fot(multiply(X_26,n1))),bind(Z0,$fot(X_26))]]) ).
cnf(refute_0_2637,plain,
( multiply(X_26,n1) != X_26
| multiply(X_26,add(n1,Z)) = X_26 ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(n1,Z)),multiply(X_26,n1)) )],[refute_0_2635,refute_0_2636]) ).
cnf(refute_0_2638,plain,
multiply(X_26,add(n1,Z)) = X_26,
inference(resolve,[$cnf( $equal(multiply(X_26,n1),X_26) )],[refute_0_1865,refute_0_2637]) ).
cnf(refute_0_2639,plain,
( multiply(X_26,add(X_26,Z)) != multiply(X_26,add(n1,Z))
| multiply(X_26,add(n1,Z)) != X_26
| multiply(X_26,add(X_26,Z)) = X_26 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_26,add(X_26,Z)),X_26) ),[0],$fot(multiply(X_26,add(n1,Z)))]]) ).
cnf(refute_0_2640,plain,
( multiply(X_26,add(X_26,Z)) != multiply(X_26,add(n1,Z))
| multiply(X_26,add(X_26,Z)) = X_26 ),
inference(resolve,[$cnf( $equal(multiply(X_26,add(n1,Z)),X_26) )],[refute_0_2638,refute_0_2639]) ).
cnf(refute_0_2641,plain,
multiply(X_26,add(X_26,Z)) = X_26,
inference(resolve,[$cnf( $equal(multiply(X_26,add(X_26,Z)),multiply(X_26,add(n1,Z))) )],[refute_0_2528,refute_0_2640]) ).
cnf(refute_0_2642,plain,
multiply(X,add(X,Z)) = X,
inference(subst,[],[refute_0_2641:[bind(X_26,$fot(X))]]) ).
cnf(refute_0_2643,plain,
( multiply(X,add(X,Z)) != X
| multiply(X,add(X,Z)) != add(X,multiply(Z,X))
| X = add(X,multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(X,Z)),add(X,multiply(Z,X))) ),[0],$fot(X)]]) ).
cnf(refute_0_2644,plain,
( multiply(X,add(X,Z)) != add(X,multiply(Z,X))
| X = add(X,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),X) )],[refute_0_2642,refute_0_2643]) ).
cnf(refute_0_2645,plain,
X = add(X,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),add(X,multiply(Z,X))) )],[refute_0_2103,refute_0_2644]) ).
cnf(refute_0_2646,plain,
( X != add(X,multiply(Z,X))
| add(X,multiply(Z,X)) = X ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X)),bind(Y0,$fot(add(X,multiply(Z,X))))]]) ).
cnf(refute_0_2647,plain,
add(X,multiply(Z,X)) = X,
inference(resolve,[$cnf( $equal(X,add(X,multiply(Z,X))) )],[refute_0_2645,refute_0_2646]) ).
cnf(refute_0_2648,plain,
add(X,X) = X,
inference(subst,[],[refute_0_1536:[bind(Z,$fot(X))]]) ).
cnf(refute_0_2649,plain,
inverse(inverse(X)) = X,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X))]]) ).
cnf(refute_0_2650,plain,
add(X,inverse(inverse(X))) = add(X,inverse(inverse(X))),
introduced(tautology,[refl,[$fot(add(X,inverse(inverse(X))))]]) ).
cnf(refute_0_2651,plain,
( add(X,inverse(inverse(X))) != add(X,inverse(inverse(X)))
| inverse(inverse(X)) != X
| add(X,inverse(inverse(X))) = add(X,X) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,inverse(inverse(X))),add(X,inverse(inverse(X)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_2652,plain,
( inverse(inverse(X)) != X
| add(X,inverse(inverse(X))) = add(X,X) ),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(X))),add(X,inverse(inverse(X)))) )],[refute_0_2650,refute_0_2651]) ).
cnf(refute_0_2653,plain,
add(X,inverse(inverse(X))) = add(X,X),
inference(resolve,[$cnf( $equal(inverse(inverse(X)),X) )],[refute_0_2649,refute_0_2652]) ).
cnf(refute_0_2654,plain,
( add(X,X) != X
| add(X,inverse(inverse(X))) != add(X,X)
| add(X,inverse(inverse(X))) = X ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(X,inverse(inverse(X))))),bind(Y0,$fot(add(X,X))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_2655,plain,
( add(X,X) != X
| add(X,inverse(inverse(X))) = X ),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(X))),add(X,X)) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
add(X,inverse(inverse(X))) = X,
inference(resolve,[$cnf( $equal(add(X,X),X) )],[refute_0_2648,refute_0_2655]) ).
cnf(refute_0_2657,plain,
multiply(Z,add(X,inverse(inverse(X)))) = multiply(Z,add(X,inverse(inverse(X)))),
introduced(tautology,[refl,[$fot(multiply(Z,add(X,inverse(inverse(X)))))]]) ).
cnf(refute_0_2658,plain,
( multiply(Z,add(X,inverse(inverse(X)))) != multiply(Z,add(X,inverse(inverse(X))))
| add(X,inverse(inverse(X))) != X
| multiply(Z,add(X,inverse(inverse(X)))) = multiply(Z,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(X)))),multiply(Z,add(X,inverse(inverse(X))))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_2659,plain,
( add(X,inverse(inverse(X))) != X
| multiply(Z,add(X,inverse(inverse(X)))) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(X)))),multiply(Z,add(X,inverse(inverse(X))))) )],[refute_0_2657,refute_0_2658]) ).
cnf(refute_0_2660,plain,
multiply(Z,add(X,inverse(inverse(X)))) = multiply(Z,X),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(X))),X) )],[refute_0_2656,refute_0_2659]) ).
cnf(refute_0_2661,plain,
add(X,multiply(Z,add(X,inverse(inverse(X))))) = add(X,multiply(Z,add(X,inverse(inverse(X))))),
introduced(tautology,[refl,[$fot(add(X,multiply(Z,add(X,inverse(inverse(X))))))]]) ).
cnf(refute_0_2662,plain,
( multiply(Z,add(X,inverse(inverse(X)))) != multiply(Z,X)
| add(X,multiply(Z,add(X,inverse(inverse(X))))) != add(X,multiply(Z,add(X,inverse(inverse(X)))))
| add(X,multiply(Z,add(X,inverse(inverse(X))))) = add(X,multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Z,add(X,inverse(inverse(X))))),add(X,multiply(Z,add(X,inverse(inverse(X)))))) ),[1,1],$fot(multiply(Z,X))]]) ).
cnf(refute_0_2663,plain,
( multiply(Z,add(X,inverse(inverse(X)))) != multiply(Z,X)
| add(X,multiply(Z,add(X,inverse(inverse(X))))) = add(X,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,add(X,inverse(inverse(X))))),add(X,multiply(Z,add(X,inverse(inverse(X)))))) )],[refute_0_2661,refute_0_2662]) ).
cnf(refute_0_2664,plain,
add(X,multiply(Z,add(X,inverse(inverse(X))))) = add(X,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(X)))),multiply(Z,X)) )],[refute_0_2660,refute_0_2663]) ).
cnf(refute_0_2665,plain,
( add(X,multiply(Z,X)) != X
| add(X,multiply(Z,add(X,inverse(inverse(X))))) != add(X,multiply(Z,X))
| add(X,multiply(Z,add(X,inverse(inverse(X))))) = X ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(X,multiply(Z,add(X,inverse(inverse(X))))))),bind(Y0,$fot(add(X,multiply(Z,X)))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_2666,plain,
( add(X,multiply(Z,X)) != X
| add(X,multiply(Z,add(X,inverse(inverse(X))))) = X ),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,add(X,inverse(inverse(X))))),add(X,multiply(Z,X))) )],[refute_0_2664,refute_0_2665]) ).
cnf(refute_0_2667,plain,
add(X,multiply(Z,add(X,inverse(inverse(X))))) = X,
inference(resolve,[$cnf( $equal(add(X,multiply(Z,X)),X) )],[refute_0_2647,refute_0_2666]) ).
cnf(refute_0_2668,plain,
( add(X,multiply(Z,add(X,inverse(inverse(X))))) != X
| pixley(X,inverse(X),Z) != add(X,multiply(Z,add(X,inverse(inverse(X)))))
| pixley(X,inverse(X),Z) = X ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X),Z),add(X,multiply(Z,add(X,inverse(inverse(X)))))) ),[1],$fot(X)]]) ).
cnf(refute_0_2669,plain,
( pixley(X,inverse(X),Z) != add(X,multiply(Z,add(X,inverse(inverse(X)))))
| pixley(X,inverse(X),Z) = X ),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,add(X,inverse(inverse(X))))),X) )],[refute_0_2667,refute_0_2668]) ).
cnf(refute_0_2670,plain,
pixley(X,inverse(X),Z) = X,
inference(resolve,[$cnf( $equal(pixley(X,inverse(X),Z),add(X,multiply(Z,add(X,inverse(inverse(X)))))) )],[refute_0_2495,refute_0_2669]) ).
cnf(refute_0_2671,plain,
pixley(X_280,inverse(X_280),X_281) = X_280,
inference(subst,[],[refute_0_2670:[bind(X,$fot(X_280)),bind(Z,$fot(X_281))]]) ).
cnf(refute_0_2672,plain,
multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)))]]) ).
cnf(refute_0_2673,plain,
( multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) != multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281))
| pixley(X_280,inverse(X_280),X_281) != X_280
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(multiply(X_280,X_281),X_280) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281))) ),[1,1],$fot(X_280)]]) ).
cnf(refute_0_2674,plain,
( pixley(X_280,inverse(X_280),X_281) != X_280
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(multiply(X_280,X_281),X_280) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281))) )],[refute_0_2672,refute_0_2673]) ).
cnf(refute_0_2675,plain,
multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(multiply(X_280,X_281),X_280),
inference(resolve,[$cnf( $equal(pixley(X_280,inverse(X_280),X_281),X_280) )],[refute_0_2671,refute_0_2674]) ).
cnf(refute_0_2676,plain,
( multiply(multiply(X_280,X_281),X_280) != multiply(X_280,multiply(X_280,X_281))
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) != multiply(multiply(X_280,X_281),X_280)
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(X_280,multiply(X_280,X_281)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)))),bind(Y0,$fot(multiply(multiply(X_280,X_281),X_280))),bind(Z0,$fot(multiply(X_280,multiply(X_280,X_281))))]]) ).
cnf(refute_0_2677,plain,
( multiply(multiply(X_280,X_281),X_280) != multiply(X_280,multiply(X_280,X_281))
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(X_280,multiply(X_280,X_281)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),multiply(multiply(X_280,X_281),X_280)) )],[refute_0_2675,refute_0_2676]) ).
cnf(refute_0_2678,plain,
multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) = multiply(X_280,multiply(X_280,X_281)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_281),X_280),multiply(X_280,multiply(X_280,X_281))) )],[refute_0_2462,refute_0_2677]) ).
cnf(refute_0_2679,plain,
( multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) != multiply(X_280,multiply(X_280,X_281))
| multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) != multiply(X_281,X_280)
| multiply(X_280,multiply(X_280,X_281)) = multiply(X_281,X_280) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),multiply(X_281,X_280)) ),[0],$fot(multiply(X_280,multiply(X_280,X_281)))]]) ).
cnf(refute_0_2680,plain,
( multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)) != multiply(X_281,X_280)
| multiply(X_280,multiply(X_280,X_281)) = multiply(X_281,X_280) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),multiply(X_280,multiply(X_280,X_281))) )],[refute_0_2678,refute_0_2679]) ).
cnf(refute_0_2681,plain,
multiply(X_280,multiply(X_280,X_281)) = multiply(X_281,X_280),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_281),pixley(X_280,inverse(X_280),X_281)),multiply(X_281,X_280)) )],[refute_0_2461,refute_0_2680]) ).
cnf(refute_0_2682,plain,
multiply(X_346,multiply(X_346,X_281)) = multiply(X_281,X_346),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_346))]]) ).
cnf(refute_0_2683,plain,
( multiply(X_346,multiply(X_346,X_281)) != multiply(X_281,X_346)
| pixley(multiply(X_346,multiply(X_346,X_281)),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))) != multiply(X_346,X_281)
| pixley(multiply(X_281,X_346),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))) = multiply(X_346,X_281) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_346,multiply(X_346,X_281)),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))),multiply(X_346,X_281)) ),[0,0],$fot(multiply(X_281,X_346))]]) ).
cnf(refute_0_2684,plain,
( pixley(multiply(X_346,multiply(X_346,X_281)),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))) != multiply(X_346,X_281)
| pixley(multiply(X_281,X_346),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))) = multiply(X_346,X_281) ),
inference(resolve,[$cnf( $equal(multiply(X_346,multiply(X_346,X_281)),multiply(X_281,X_346)) )],[refute_0_2682,refute_0_2683]) ).
cnf(refute_0_2685,plain,
pixley(multiply(X_281,X_346),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))) = multiply(X_346,X_281),
inference(resolve,[$cnf( $equal(pixley(multiply(X_346,multiply(X_346,X_281)),inverse(multiply(X_346,X_281)),add(X_345,multiply(X_346,X_281))),multiply(X_346,X_281)) )],[refute_0_2376,refute_0_2684]) ).
cnf(refute_0_2686,plain,
pixley(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),
inference(subst,[],[refute_0_2685:[bind(X_281,$fot(inverse(multiply(X_804,X_281)))),bind(X_345,$fot(X_1103)),bind(X_346,$fot(inverse(multiply(X_281,X_804))))]]) ).
cnf(refute_0_2687,plain,
multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),
inference(subst,[],[refute_0_80:[bind(X_11,$fot(multiply(X_379,X_10)))]]) ).
cnf(refute_0_2688,plain,
pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)) = add(X_310,inverse(X_308)),
inference(subst,[],[pixley2:[bind(X,$fot(add(X_310,inverse(X_308)))),bind(Y,$fot(inverse(X_308)))]]) ).
cnf(refute_0_2689,plain,
pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(add(X_37,Z),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(add(X_37,Z)))]]) ).
cnf(refute_0_2690,plain,
multiply(Z,add(add(X_37,Z),inverse(Y))) = add(Z,multiply(inverse(Y),Z)),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_37)),bind(X_21,$fot(Z)),bind(X_23,$fot(inverse(Y)))]]) ).
cnf(refute_0_2691,plain,
( multiply(Z,add(add(X_37,Z),inverse(Y))) != add(Z,multiply(inverse(Y),Z))
| pixley(add(X_37,Z),Y,Z) != add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(add(X_37,Z),inverse(Y))))
| pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_37,Z),Y,Z),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(add(X_37,Z),inverse(Y))))) ),[1,1],$fot(add(Z,multiply(inverse(Y),Z)))]]) ).
cnf(refute_0_2692,plain,
( pixley(add(X_37,Z),Y,Z) != add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(add(X_37,Z),inverse(Y))))
| pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(add(X_37,Z),inverse(Y))),add(Z,multiply(inverse(Y),Z))) )],[refute_0_2690,refute_0_2691]) ).
cnf(refute_0_2693,plain,
pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))),
inference(resolve,[$cnf( $equal(pixley(add(X_37,Z),Y,Z),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(add(X_37,Z),inverse(Y))))) )],[refute_0_2689,refute_0_2692]) ).
cnf(refute_0_2694,plain,
add(Z,multiply(inverse(Y),Z)) = multiply(Z,add(Z,inverse(Y))),
inference(subst,[],[refute_0_2105:[bind(X,$fot(Z)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_2695,plain,
add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) = add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))),
introduced(tautology,[refl,[$fot(add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))))]]) ).
cnf(refute_0_2696,plain,
( add(Z,multiply(inverse(Y),Z)) != multiply(Z,add(Z,inverse(Y)))
| add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) != add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))
| add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))),add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))) ),[1,1],$fot(multiply(Z,add(Z,inverse(Y))))]]) ).
cnf(refute_0_2697,plain,
( add(Z,multiply(inverse(Y),Z)) != multiply(Z,add(Z,inverse(Y)))
| add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))),add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))) )],[refute_0_2695,refute_0_2696]) ).
cnf(refute_0_2698,plain,
add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))),
inference(resolve,[$cnf( $equal(add(Z,multiply(inverse(Y),Z)),multiply(Z,add(Z,inverse(Y)))) )],[refute_0_2694,refute_0_2697]) ).
cnf(refute_0_2699,plain,
( add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))) != add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))
| pixley(add(X_37,Z),Y,Z) != add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))
| pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_37,Z),Y,Z),add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))) ),[1],$fot(add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))))]]) ).
cnf(refute_0_2700,plain,
( pixley(add(X_37,Z),Y,Z) != add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))
| pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z))),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))) )],[refute_0_2698,refute_0_2699]) ).
cnf(refute_0_2701,plain,
pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(add(X_37,Z),Y,Z),add(multiply(add(X_37,Z),inverse(Y)),add(Z,multiply(inverse(Y),Z)))) )],[refute_0_2693,refute_0_2700]) ).
cnf(refute_0_2702,plain,
multiply(Z,add(Z,inverse(Y))) = Z,
inference(subst,[],[refute_0_2641:[bind(Z,$fot(inverse(Y))),bind(X_26,$fot(Z))]]) ).
cnf(refute_0_2703,plain,
add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) = add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))),
introduced(tautology,[refl,[$fot(add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))))]]) ).
cnf(refute_0_2704,plain,
( multiply(Z,add(Z,inverse(Y))) != Z
| add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) != add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))
| add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) = add(multiply(add(X_37,Z),inverse(Y)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_2705,plain,
( multiply(Z,add(Z,inverse(Y))) != Z
| add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) = add(multiply(add(X_37,Z),inverse(Y)),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))) )],[refute_0_2703,refute_0_2704]) ).
cnf(refute_0_2706,plain,
add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) = add(multiply(add(X_37,Z),inverse(Y)),Z),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,inverse(Y))),Z) )],[refute_0_2702,refute_0_2705]) ).
cnf(refute_0_2707,plain,
( add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))) != add(multiply(add(X_37,Z),inverse(Y)),Z)
| pixley(add(X_37,Z),Y,Z) != add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))
| pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_37,Z),Y,Z),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))) ),[1],$fot(add(multiply(add(X_37,Z),inverse(Y)),Z))]]) ).
cnf(refute_0_2708,plain,
( pixley(add(X_37,Z),Y,Z) != add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))
| pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y)))),add(multiply(add(X_37,Z),inverse(Y)),Z)) )],[refute_0_2706,refute_0_2707]) ).
cnf(refute_0_2709,plain,
pixley(add(X_37,Z),Y,Z) = add(multiply(add(X_37,Z),inverse(Y)),Z),
inference(resolve,[$cnf( $equal(pixley(add(X_37,Z),Y,Z),add(multiply(add(X_37,Z),inverse(Y)),multiply(Z,add(Z,inverse(Y))))) )],[refute_0_2701,refute_0_2708]) ).
cnf(refute_0_2710,plain,
pixley(add(X_303,X_302),inverse(Y),X_302) = add(multiply(add(X_303,X_302),inverse(inverse(Y))),X_302),
inference(subst,[],[refute_0_2709:[bind(Y,$fot(inverse(Y))),bind(Z,$fot(X_302)),bind(X_37,$fot(X_303))]]) ).
cnf(refute_0_2711,plain,
( inverse(inverse(Y)) != Y
| pixley(add(X_303,X_302),inverse(Y),X_302) != add(multiply(add(X_303,X_302),inverse(inverse(Y))),X_302)
| pixley(add(X_303,X_302),inverse(Y),X_302) = add(multiply(add(X_303,X_302),Y),X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),inverse(Y),X_302),add(multiply(add(X_303,X_302),inverse(inverse(Y))),X_302)) ),[1,0,1],$fot(Y)]]) ).
cnf(refute_0_2712,plain,
( pixley(add(X_303,X_302),inverse(Y),X_302) != add(multiply(add(X_303,X_302),inverse(inverse(Y))),X_302)
| pixley(add(X_303,X_302),inverse(Y),X_302) = add(multiply(add(X_303,X_302),Y),X_302) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2711]) ).
cnf(refute_0_2713,plain,
pixley(add(X_303,X_302),inverse(Y),X_302) = add(multiply(add(X_303,X_302),Y),X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),inverse(Y),X_302),add(multiply(add(X_303,X_302),inverse(inverse(Y))),X_302)) )],[refute_0_2710,refute_0_2712]) ).
cnf(refute_0_2714,plain,
pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)) = add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),
inference(subst,[],[refute_0_2713:[bind(Y,$fot(X_308)),bind(X_302,$fot(inverse(X_308))),bind(X_303,$fot(X_310))]]) ).
cnf(refute_0_2715,plain,
( pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)) != add(X_310,inverse(X_308))
| pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)) != add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308))
| add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(X_310,inverse(X_308)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)),add(X_310,inverse(X_308))) ),[0],$fot(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)))]]) ).
cnf(refute_0_2716,plain,
( pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)) != add(X_310,inverse(X_308))
| add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(X_310,inverse(X_308)) ),
inference(resolve,[$cnf( $equal(pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)),add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308))) )],[refute_0_2714,refute_0_2715]) ).
cnf(refute_0_2717,plain,
add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(X_310,inverse(X_308)),
inference(resolve,[$cnf( $equal(pixley(add(X_310,inverse(X_308)),inverse(X_308),inverse(X_308)),add(X_310,inverse(X_308))) )],[refute_0_2688,refute_0_2716]) ).
cnf(refute_0_2718,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = add(multiply(Y,add(X_244,inverse(n1))),multiply(inverse(X_244),add(X_244,inverse(n1)))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_244,inverse(n1)))),bind(Z,$fot(inverse(X_244)))]]) ).
cnf(refute_0_2719,plain,
multiply(inverse(X_243),add(Y,inverse(n1))) = add(multiply(Y,inverse(X_243)),multiply(inverse(n1),inverse(X_243))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_243))),bind(Z,$fot(inverse(n1)))]]) ).
cnf(refute_0_2720,plain,
( multiply(inverse(X_243),add(Y,inverse(n1))) != add(multiply(Y,inverse(X_243)),multiply(inverse(n1),inverse(X_243)))
| multiply(inverse(n1),inverse(X_243)) != inverse(n1)
| multiply(inverse(X_243),add(Y,inverse(n1))) = add(multiply(Y,inverse(X_243)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_243),add(Y,inverse(n1))),add(multiply(Y,inverse(X_243)),multiply(inverse(n1),inverse(X_243)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2721,plain,
( multiply(inverse(X_243),add(Y,inverse(n1))) != add(multiply(Y,inverse(X_243)),multiply(inverse(n1),inverse(X_243)))
| multiply(inverse(X_243),add(Y,inverse(n1))) = add(multiply(Y,inverse(X_243)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),inverse(X_243)),inverse(n1)) )],[refute_0_2143,refute_0_2720]) ).
cnf(refute_0_2722,plain,
multiply(inverse(X_243),add(Y,inverse(n1))) = add(multiply(Y,inverse(X_243)),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),add(Y,inverse(n1))),add(multiply(Y,inverse(X_243)),multiply(inverse(n1),inverse(X_243)))) )],[refute_0_2719,refute_0_2721]) ).
cnf(refute_0_2723,plain,
( multiply(inverse(X_243),add(Y,inverse(n1))) != add(multiply(Y,inverse(X_243)),inverse(n1))
| add(multiply(Y,inverse(X_243)),inverse(n1)) = multiply(inverse(X_243),add(Y,inverse(n1))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_243),add(Y,inverse(n1))))),bind(Y0,$fot(add(multiply(Y,inverse(X_243)),inverse(n1))))]]) ).
cnf(refute_0_2724,plain,
add(multiply(Y,inverse(X_243)),inverse(n1)) = multiply(inverse(X_243),add(Y,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_243),add(Y,inverse(n1))),add(multiply(Y,inverse(X_243)),inverse(n1))) )],[refute_0_2722,refute_0_2723]) ).
cnf(refute_0_2725,plain,
add(multiply(X_11,inverse(X_11)),inverse(n1)) = multiply(inverse(X_11),add(X_11,inverse(n1))),
inference(subst,[],[refute_0_2724:[bind(Y,$fot(X_11)),bind(X_243,$fot(X_11))]]) ).
cnf(refute_0_2726,plain,
( add(multiply(X_11,inverse(X_11)),inverse(n1)) != multiply(inverse(X_11),add(X_11,inverse(n1)))
| inverse(n1) != add(multiply(X_11,inverse(X_11)),inverse(n1))
| inverse(n1) = multiply(inverse(X_11),add(X_11,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(n1),add(multiply(X_11,inverse(X_11)),inverse(n1))) ),[1],$fot(multiply(inverse(X_11),add(X_11,inverse(n1))))]]) ).
cnf(refute_0_2727,plain,
( inverse(n1) != add(multiply(X_11,inverse(X_11)),inverse(n1))
| inverse(n1) = multiply(inverse(X_11),add(X_11,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),inverse(n1)),multiply(inverse(X_11),add(X_11,inverse(n1)))) )],[refute_0_2725,refute_0_2726]) ).
cnf(refute_0_2728,plain,
inverse(n1) = multiply(inverse(X_11),add(X_11,inverse(n1))),
inference(resolve,[$cnf( $equal(inverse(n1),add(multiply(X_11,inverse(X_11)),inverse(n1))) )],[refute_0_2031,refute_0_2727]) ).
cnf(refute_0_2729,plain,
inverse(n1) = multiply(inverse(X_244),add(X_244,inverse(n1))),
inference(subst,[],[refute_0_2728:[bind(X_11,$fot(X_244))]]) ).
cnf(refute_0_2730,plain,
( inverse(n1) != multiply(inverse(X_244),add(X_244,inverse(n1)))
| multiply(inverse(X_244),add(X_244,inverse(n1))) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(inverse(X_244),add(X_244,inverse(n1)))))]]) ).
cnf(refute_0_2731,plain,
multiply(inverse(X_244),add(X_244,inverse(n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(inverse(X_244),add(X_244,inverse(n1)))) )],[refute_0_2729,refute_0_2730]) ).
cnf(refute_0_2732,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != add(multiply(Y,add(X_244,inverse(n1))),multiply(inverse(X_244),add(X_244,inverse(n1))))
| multiply(inverse(X_244),add(X_244,inverse(n1))) != inverse(n1)
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),add(multiply(Y,add(X_244,inverse(n1))),multiply(inverse(X_244),add(X_244,inverse(n1))))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2733,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != add(multiply(Y,add(X_244,inverse(n1))),multiply(inverse(X_244),add(X_244,inverse(n1))))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_244),add(X_244,inverse(n1))),inverse(n1)) )],[refute_0_2731,refute_0_2732]) ).
cnf(refute_0_2734,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),add(multiply(Y,add(X_244,inverse(n1))),multiply(inverse(X_244),add(X_244,inverse(n1))))) )],[refute_0_2718,refute_0_2733]) ).
cnf(refute_0_2735,plain,
multiply(add(X_250,Z),add(Y,Z)) = add(multiply(Y,add(X_250,Z)),multiply(Z,add(X_250,Z))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_250,Z)))]]) ).
cnf(refute_0_2736,plain,
multiply(Z,add(X_250,Z)) = Z,
inference(subst,[],[refute_0_1549:[bind(X,$fot(X_250)),bind(Y,$fot(Z))]]) ).
cnf(refute_0_2737,plain,
( multiply(Z,add(X_250,Z)) != Z
| multiply(add(X_250,Z),add(Y,Z)) != add(multiply(Y,add(X_250,Z)),multiply(Z,add(X_250,Z)))
| multiply(add(X_250,Z),add(Y,Z)) = add(multiply(Y,add(X_250,Z)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_250,Z),add(Y,Z)),add(multiply(Y,add(X_250,Z)),multiply(Z,add(X_250,Z)))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_2738,plain,
( multiply(add(X_250,Z),add(Y,Z)) != add(multiply(Y,add(X_250,Z)),multiply(Z,add(X_250,Z)))
| multiply(add(X_250,Z),add(Y,Z)) = add(multiply(Y,add(X_250,Z)),Z) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X_250,Z)),Z) )],[refute_0_2736,refute_0_2737]) ).
cnf(refute_0_2739,plain,
multiply(add(X_250,Z),add(Y,Z)) = add(multiply(Y,add(X_250,Z)),Z),
inference(resolve,[$cnf( $equal(multiply(add(X_250,Z),add(Y,Z)),add(multiply(Y,add(X_250,Z)),multiply(Z,add(X_250,Z)))) )],[refute_0_2735,refute_0_2738]) ).
cnf(refute_0_2740,plain,
( multiply(add(X_250,Z),add(Y,Z)) != add(multiply(Y,add(X_250,Z)),Z)
| add(multiply(Y,add(X_250,Z)),Z) = multiply(add(X_250,Z),add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_250,Z),add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,add(X_250,Z)),Z)))]]) ).
cnf(refute_0_2741,plain,
add(multiply(Y,add(X_250,Z)),Z) = multiply(add(X_250,Z),add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_250,Z),add(Y,Z)),add(multiply(Y,add(X_250,Z)),Z)) )],[refute_0_2739,refute_0_2740]) ).
cnf(refute_0_2742,plain,
add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)) = multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))),
inference(subst,[],[refute_0_2741:[bind(Z,$fot(inverse(n1))),bind(X_250,$fot(X_244))]]) ).
cnf(refute_0_2743,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != add(multiply(Y,add(X_244,inverse(n1))),inverse(n1))
| add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)) != multiply(add(X_244,inverse(n1)),add(Y,inverse(n1)))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),multiply(add(X_244,inverse(n1)),add(Y,inverse(n1)))) ),[0],$fot(add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)))]]) ).
cnf(refute_0_2744,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != add(multiply(Y,add(X_244,inverse(n1))),inverse(n1))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,add(X_244,inverse(n1))),inverse(n1)),multiply(add(X_244,inverse(n1)),add(Y,inverse(n1)))) )],[refute_0_2742,refute_0_2743]) ).
cnf(refute_0_2745,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),add(multiply(Y,add(X_244,inverse(n1))),inverse(n1))) )],[refute_0_2734,refute_0_2744]) ).
cnf(refute_0_2746,plain,
pixley(X,n1,Z) = add(multiply(X,inverse(n1)),multiply(Z,add(X,inverse(n1)))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_2747,plain,
multiply(X,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_1943:[bind(X_53,$fot(X))]]) ).
cnf(refute_0_2748,plain,
( multiply(X,inverse(n1)) != inverse(n1)
| pixley(X,n1,Z) != add(multiply(X,inverse(n1)),multiply(Z,add(X,inverse(n1))))
| pixley(X,n1,Z) = add(inverse(n1),multiply(Z,add(X,inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,n1,Z),add(multiply(X,inverse(n1)),multiply(Z,add(X,inverse(n1))))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_2749,plain,
( pixley(X,n1,Z) != add(multiply(X,inverse(n1)),multiply(Z,add(X,inverse(n1))))
| pixley(X,n1,Z) = add(inverse(n1),multiply(Z,add(X,inverse(n1)))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(n1)),inverse(n1)) )],[refute_0_2747,refute_0_2748]) ).
cnf(refute_0_2750,plain,
pixley(X,n1,Z) = add(inverse(n1),multiply(Z,add(X,inverse(n1)))),
inference(resolve,[$cnf( $equal(pixley(X,n1,Z),add(multiply(X,inverse(n1)),multiply(Z,add(X,inverse(n1))))) )],[refute_0_2746,refute_0_2749]) ).
cnf(refute_0_2751,plain,
multiply(add(X_250,Y),add(Y,Z)) = add(multiply(Y,add(X_250,Y)),multiply(Z,add(X_250,Y))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_250,Y)))]]) ).
cnf(refute_0_2752,plain,
multiply(Y,add(X_250,Y)) = Y,
inference(subst,[],[refute_0_1549:[bind(X,$fot(X_250))]]) ).
cnf(refute_0_2753,plain,
( multiply(Y,add(X_250,Y)) != Y
| multiply(add(X_250,Y),add(Y,Z)) != add(multiply(Y,add(X_250,Y)),multiply(Z,add(X_250,Y)))
| multiply(add(X_250,Y),add(Y,Z)) = add(Y,multiply(Z,add(X_250,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_250,Y),add(Y,Z)),add(multiply(Y,add(X_250,Y)),multiply(Z,add(X_250,Y)))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_2754,plain,
( multiply(add(X_250,Y),add(Y,Z)) != add(multiply(Y,add(X_250,Y)),multiply(Z,add(X_250,Y)))
| multiply(add(X_250,Y),add(Y,Z)) = add(Y,multiply(Z,add(X_250,Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,add(X_250,Y)),Y) )],[refute_0_2752,refute_0_2753]) ).
cnf(refute_0_2755,plain,
multiply(add(X_250,Y),add(Y,Z)) = add(Y,multiply(Z,add(X_250,Y))),
inference(resolve,[$cnf( $equal(multiply(add(X_250,Y),add(Y,Z)),add(multiply(Y,add(X_250,Y)),multiply(Z,add(X_250,Y)))) )],[refute_0_2751,refute_0_2754]) ).
cnf(refute_0_2756,plain,
( multiply(add(X_250,Y),add(Y,Z)) != add(Y,multiply(Z,add(X_250,Y)))
| add(Y,multiply(Z,add(X_250,Y))) = multiply(add(X_250,Y),add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_250,Y),add(Y,Z)))),bind(Y0,$fot(add(Y,multiply(Z,add(X_250,Y)))))]]) ).
cnf(refute_0_2757,plain,
add(Y,multiply(Z,add(X_250,Y))) = multiply(add(X_250,Y),add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_250,Y),add(Y,Z)),add(Y,multiply(Z,add(X_250,Y)))) )],[refute_0_2755,refute_0_2756]) ).
cnf(refute_0_2758,plain,
add(inverse(n1),multiply(Z,add(X,inverse(n1)))) = multiply(add(X,inverse(n1)),add(inverse(n1),Z)),
inference(subst,[],[refute_0_2757:[bind(Y,$fot(inverse(n1))),bind(X_250,$fot(X))]]) ).
cnf(refute_0_2759,plain,
( add(inverse(n1),multiply(Z,add(X,inverse(n1)))) != multiply(add(X,inverse(n1)),add(inverse(n1),Z))
| pixley(X,n1,Z) != add(inverse(n1),multiply(Z,add(X,inverse(n1))))
| pixley(X,n1,Z) = multiply(add(X,inverse(n1)),add(inverse(n1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,n1,Z),add(inverse(n1),multiply(Z,add(X,inverse(n1))))) ),[1],$fot(multiply(add(X,inverse(n1)),add(inverse(n1),Z)))]]) ).
cnf(refute_0_2760,plain,
( pixley(X,n1,Z) != add(inverse(n1),multiply(Z,add(X,inverse(n1))))
| pixley(X,n1,Z) = multiply(add(X,inverse(n1)),add(inverse(n1),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,add(X,inverse(n1)))),multiply(add(X,inverse(n1)),add(inverse(n1),Z))) )],[refute_0_2758,refute_0_2759]) ).
cnf(refute_0_2761,plain,
pixley(X,n1,Z) = multiply(add(X,inverse(n1)),add(inverse(n1),Z)),
inference(resolve,[$cnf( $equal(pixley(X,n1,Z),add(inverse(n1),multiply(Z,add(X,inverse(n1))))) )],[refute_0_2750,refute_0_2760]) ).
cnf(refute_0_2762,plain,
multiply(n1,add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))) = multiply(X_12,add(add(X,inverse(n1)),inverse(n1))),
inference(subst,[],[refute_0_601:[bind(Z,$fot(multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))))]]) ).
cnf(refute_0_2763,plain,
pixley(add(X,inverse(n1)),n1,X_12) = add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))),
inference(subst,[],[refute_0_282:[bind(X_11,$fot(n1))]]) ).
cnf(refute_0_2764,plain,
( pixley(add(X,inverse(n1)),n1,X_12) != add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))
| add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) = pixley(add(X,inverse(n1)),n1,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X,inverse(n1)),n1,X_12))),bind(Y0,$fot(add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))))]]) ).
cnf(refute_0_2765,plain,
add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) = pixley(add(X,inverse(n1)),n1,X_12),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,X_12),add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))) )],[refute_0_2763,refute_0_2764]) ).
cnf(refute_0_2766,plain,
( multiply(n1,add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))) != multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))
| add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) != pixley(add(X,inverse(n1)),n1,X_12)
| multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) ),[0,1],$fot(pixley(add(X,inverse(n1)),n1,X_12))]]) ).
cnf(refute_0_2767,plain,
( multiply(n1,add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))) != multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))
| multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))),pixley(add(X,inverse(n1)),n1,X_12)) )],[refute_0_2765,refute_0_2766]) ).
cnf(refute_0_2768,plain,
multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = multiply(X_12,add(add(X,inverse(n1)),inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) )],[refute_0_2762,refute_0_2767]) ).
cnf(refute_0_2769,plain,
pixley(add(X,inverse(n1)),n1,n1) = add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1)))),
inference(subst,[],[refute_0_282:[bind(X_11,$fot(n1)),bind(X_12,$fot(n1))]]) ).
cnf(refute_0_2770,plain,
add(add(X,inverse(n1)),inverse(n1)) = add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1)))),
inference(subst,[],[refute_0_1585:[bind(X_14,$fot(add(add(X,inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_2771,plain,
( add(add(X,inverse(n1)),inverse(n1)) != add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))
| add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1)))) = add(add(X,inverse(n1)),inverse(n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(add(X,inverse(n1)),inverse(n1)))),bind(Y0,$fot(add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))))]]) ).
cnf(refute_0_2772,plain,
add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1)))) = add(add(X,inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(add(add(X,inverse(n1)),inverse(n1)),add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))) )],[refute_0_2770,refute_0_2771]) ).
cnf(refute_0_2773,plain,
( add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1)))) != add(add(X,inverse(n1)),inverse(n1))
| pixley(add(X,inverse(n1)),n1,n1) != add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))
| pixley(add(X,inverse(n1)),n1,n1) = add(add(X,inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,n1),add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))) ),[1],$fot(add(add(X,inverse(n1)),inverse(n1)))]]) ).
cnf(refute_0_2774,plain,
( pixley(add(X,inverse(n1)),n1,n1) != add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))
| pixley(add(X,inverse(n1)),n1,n1) = add(add(X,inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1)))),add(add(X,inverse(n1)),inverse(n1))) )],[refute_0_2772,refute_0_2773]) ).
cnf(refute_0_2775,plain,
pixley(add(X,inverse(n1)),n1,n1) = add(add(X,inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,n1),add(inverse(n1),multiply(n1,add(add(X,inverse(n1)),inverse(n1))))) )],[refute_0_2769,refute_0_2774]) ).
cnf(refute_0_2776,plain,
pixley(add(X,inverse(n1)),n1,n1) = add(X,inverse(n1)),
inference(subst,[],[pixley2:[bind(X,$fot(add(X,inverse(n1)))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_2777,plain,
( pixley(add(X,inverse(n1)),n1,n1) != add(X,inverse(n1))
| pixley(add(X,inverse(n1)),n1,n1) != add(add(X,inverse(n1)),inverse(n1))
| add(X,inverse(n1)) = add(add(X,inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,n1),add(add(X,inverse(n1)),inverse(n1))) ),[0],$fot(add(X,inverse(n1)))]]) ).
cnf(refute_0_2778,plain,
( pixley(add(X,inverse(n1)),n1,n1) != add(add(X,inverse(n1)),inverse(n1))
| add(X,inverse(n1)) = add(add(X,inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,n1),add(X,inverse(n1))) )],[refute_0_2776,refute_0_2777]) ).
cnf(refute_0_2779,plain,
add(X,inverse(n1)) = add(add(X,inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,n1),add(add(X,inverse(n1)),inverse(n1))) )],[refute_0_2775,refute_0_2778]) ).
cnf(refute_0_2780,plain,
( add(X,inverse(n1)) != add(add(X,inverse(n1)),inverse(n1))
| add(add(X,inverse(n1)),inverse(n1)) = add(X,inverse(n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,inverse(n1)))),bind(Y0,$fot(add(add(X,inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_2781,plain,
add(add(X,inverse(n1)),inverse(n1)) = add(X,inverse(n1)),
inference(resolve,[$cnf( $equal(add(X,inverse(n1)),add(add(X,inverse(n1)),inverse(n1))) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) = multiply(X_12,add(add(X,inverse(n1)),inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(add(X,inverse(n1)),inverse(n1))))]]) ).
cnf(refute_0_2783,plain,
( multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) != multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))
| add(add(X,inverse(n1)),inverse(n1)) != add(X,inverse(n1))
| multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) = multiply(X_12,add(X,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(add(X,inverse(n1)),inverse(n1))),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) ),[1,1],$fot(add(X,inverse(n1)))]]) ).
cnf(refute_0_2784,plain,
( add(add(X,inverse(n1)),inverse(n1)) != add(X,inverse(n1))
| multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) = multiply(X_12,add(X,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(add(X,inverse(n1)),inverse(n1))),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) )],[refute_0_2782,refute_0_2783]) ).
cnf(refute_0_2785,plain,
multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) = multiply(X_12,add(X,inverse(n1))),
inference(resolve,[$cnf( $equal(add(add(X,inverse(n1)),inverse(n1)),add(X,inverse(n1))) )],[refute_0_2781,refute_0_2784]) ).
cnf(refute_0_2786,plain,
( multiply(X_12,add(add(X,inverse(n1)),inverse(n1))) != multiply(X_12,add(X,inverse(n1)))
| multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) != multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))
| multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = multiply(X_12,add(X,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) ),[1],$fot(multiply(X_12,add(X,inverse(n1))))]]) ).
cnf(refute_0_2787,plain,
( multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) != multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))
| multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = multiply(X_12,add(X,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(add(X,inverse(n1)),inverse(n1))),multiply(X_12,add(X,inverse(n1)))) )],[refute_0_2785,refute_0_2786]) ).
cnf(refute_0_2788,plain,
multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = multiply(X_12,add(X,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)),multiply(X_12,add(add(X,inverse(n1)),inverse(n1)))) )],[refute_0_2768,refute_0_2787]) ).
cnf(refute_0_2789,plain,
multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) = pixley(add(X,inverse(n1)),n1,X_12),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(pixley(add(X,inverse(n1)),n1,X_12)))]]) ).
cnf(refute_0_2790,plain,
( multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) != multiply(X_12,add(X,inverse(n1)))
| multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) != pixley(add(X,inverse(n1)),n1,X_12)
| pixley(add(X,inverse(n1)),n1,X_12) = multiply(X_12,add(X,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)),multiply(X_12,add(X,inverse(n1)))) ),[0],$fot(pixley(add(X,inverse(n1)),n1,X_12))]]) ).
cnf(refute_0_2791,plain,
( multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)) != multiply(X_12,add(X,inverse(n1)))
| pixley(add(X,inverse(n1)),n1,X_12) = multiply(X_12,add(X,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)),pixley(add(X,inverse(n1)),n1,X_12)) )],[refute_0_2789,refute_0_2790]) ).
cnf(refute_0_2792,plain,
pixley(add(X,inverse(n1)),n1,X_12) = multiply(X_12,add(X,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(n1,pixley(add(X,inverse(n1)),n1,X_12)),multiply(X_12,add(X,inverse(n1)))) )],[refute_0_2788,refute_0_2791]) ).
cnf(refute_0_2793,plain,
pixley(add(X,inverse(n1)),n1,Z) = multiply(Z,add(X,inverse(n1))),
inference(subst,[],[refute_0_2792:[bind(X_12,$fot(Z))]]) ).
cnf(refute_0_2794,plain,
pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = add(multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(add(n1,Y),add(X_196,inverse(Y)))))]]) ).
cnf(refute_0_2795,plain,
multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),multiply(inverse(X_190),add(n1,X_190))) = multiply(inverse(X_190),add(n1,X_190)),
inference(subst,[],[refute_0_236:[bind(X_21,$fot(add(n1,X_190))),bind(X_23,$fot(inverse(X_190)))]]) ).
cnf(refute_0_2796,plain,
( multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),multiply(inverse(X_190),add(n1,X_190))) != multiply(inverse(X_190),add(n1,X_190))
| multiply(inverse(X_190),add(n1,X_190)) != inverse(X_190)
| multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) = multiply(inverse(X_190),add(n1,X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),multiply(inverse(X_190),add(n1,X_190))),multiply(inverse(X_190),add(n1,X_190))) ),[0,1],$fot(inverse(X_190))]]) ).
cnf(refute_0_2797,plain,
( multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),multiply(inverse(X_190),add(n1,X_190))) != multiply(inverse(X_190),add(n1,X_190))
| multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) = multiply(inverse(X_190),add(n1,X_190)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),add(n1,X_190)),inverse(X_190)) )],[refute_0_1465,refute_0_2796]) ).
cnf(refute_0_2798,plain,
multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) = multiply(inverse(X_190),add(n1,X_190)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),multiply(inverse(X_190),add(n1,X_190))),multiply(inverse(X_190),add(n1,X_190))) )],[refute_0_2795,refute_0_2797]) ).
cnf(refute_0_2799,plain,
( multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) != multiply(inverse(X_190),add(n1,X_190))
| multiply(inverse(X_190),add(n1,X_190)) != inverse(X_190)
| multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) = inverse(X_190) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)),inverse(X_190)) ),[0],$fot(multiply(inverse(X_190),add(n1,X_190)))]]) ).
cnf(refute_0_2800,plain,
( multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) != multiply(inverse(X_190),add(n1,X_190))
| multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) = inverse(X_190) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_190),add(n1,X_190)),inverse(X_190)) )],[refute_0_1465,refute_0_2799]) ).
cnf(refute_0_2801,plain,
multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)) = inverse(X_190),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,X_190),add(X_22,inverse(X_190))),inverse(X_190)),multiply(inverse(X_190),add(n1,X_190))) )],[refute_0_2798,refute_0_2800]) ).
cnf(refute_0_2802,plain,
multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)) = inverse(Y),
inference(subst,[],[refute_0_2801:[bind(X_190,$fot(Y)),bind(X_22,$fot(X_196))]]) ).
cnf(refute_0_2803,plain,
( multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)) != inverse(Y)
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != add(multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),add(multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_2804,plain,
( pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != add(multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),inverse(Y)) )],[refute_0_2802,refute_0_2803]) ).
cnf(refute_0_2805,plain,
pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),add(multiply(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))) )],[refute_0_2794,refute_0_2804]) ).
cnf(refute_0_2806,plain,
add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)) = multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),
inference(subst,[],[refute_0_2741:[bind(Y,$fot(add(n1,Y))),bind(Z,$fot(inverse(Y))),bind(X_250,$fot(X_196))]]) ).
cnf(refute_0_2807,plain,
multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) = multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)),
introduced(tautology,[refl,[$fot(multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)))]]) ).
cnf(refute_0_2808,plain,
( multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) != multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z))
| add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)) != multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y)))
| multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)),multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z))) ),[1,0],$fot(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))))]]) ).
cnf(refute_0_2809,plain,
( add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)) != multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y)))
| multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)),multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z))) )],[refute_0_2807,refute_0_2808]) ).
cnf(refute_0_2810,plain,
multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y)))) )],[refute_0_2806,refute_0_2809]) ).
cnf(refute_0_2811,plain,
add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) = multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)),
inference(subst,[],[refute_0_2757:[bind(Y,$fot(inverse(Y))),bind(X_250,$fot(multiply(add(n1,Y),add(X_196,inverse(Y)))))]]) ).
cnf(refute_0_2812,plain,
( multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) != multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))
| add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) != multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z))
| add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))))),bind(Y0,$fot(multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)))),bind(Z0,$fot(multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))))]]) ).
cnf(refute_0_2813,plain,
( multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)) != multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))
| add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))),multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z))) )],[refute_0_2811,refute_0_2812]) ).
cnf(refute_0_2814,plain,
add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)),add(inverse(Y),Z)),multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))) )],[refute_0_2810,refute_0_2813]) ).
cnf(refute_0_2815,plain,
( add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))) != multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))) ),[1],$fot(multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)))]]) ).
cnf(refute_0_2816,plain,
( pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y)))),multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))) )],[refute_0_2814,refute_0_2815]) ).
cnf(refute_0_2817,plain,
pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),add(inverse(Y),multiply(Z,add(multiply(add(n1,Y),add(X_196,inverse(Y))),inverse(Y))))) )],[refute_0_2805,refute_0_2816]) ).
cnf(refute_0_2818,plain,
multiply(n1,add(X_196,inverse(Y))) = add(X_196,inverse(Y)),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X_196,inverse(Y))))]]) ).
cnf(refute_0_2819,plain,
multiply(add(X_196,inverse(Y)),n1) = multiply(n1,add(X_196,inverse(Y))),
inference(subst,[],[refute_0_1545:[bind(X,$fot(n1)),bind(Z,$fot(add(X_196,inverse(Y))))]]) ).
cnf(refute_0_2820,plain,
( multiply(add(X_196,inverse(Y)),n1) != multiply(n1,add(X_196,inverse(Y)))
| multiply(n1,add(X_196,inverse(Y))) != add(X_196,inverse(Y))
| multiply(add(X_196,inverse(Y)),n1) = add(X_196,inverse(Y)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_196,inverse(Y)),n1))),bind(Y0,$fot(multiply(n1,add(X_196,inverse(Y))))),bind(Z0,$fot(add(X_196,inverse(Y))))]]) ).
cnf(refute_0_2821,plain,
( multiply(n1,add(X_196,inverse(Y))) != add(X_196,inverse(Y))
| multiply(add(X_196,inverse(Y)),n1) = add(X_196,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_196,inverse(Y)),n1),multiply(n1,add(X_196,inverse(Y)))) )],[refute_0_2819,refute_0_2820]) ).
cnf(refute_0_2822,plain,
multiply(add(X_196,inverse(Y)),n1) = add(X_196,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_196,inverse(Y))),add(X_196,inverse(Y))) )],[refute_0_2818,refute_0_2821]) ).
cnf(refute_0_2823,plain,
add(add(n1,Y),inverse(Y)) = n1,
inference(subst,[],[refute_0_2612:[bind(X_220,$fot(Y))]]) ).
cnf(refute_0_2824,plain,
multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))))]]) ).
cnf(refute_0_2825,plain,
( multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) != multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y)))
| add(add(n1,Y),inverse(Y)) != n1
| multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = multiply(add(X_196,inverse(Y)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_2826,plain,
( add(add(n1,Y),inverse(Y)) != n1
| multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = multiply(add(X_196,inverse(Y)),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y)))) )],[refute_0_2824,refute_0_2825]) ).
cnf(refute_0_2827,plain,
multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = multiply(add(X_196,inverse(Y)),n1),
inference(resolve,[$cnf( $equal(add(add(n1,Y),inverse(Y)),n1) )],[refute_0_2823,refute_0_2826]) ).
cnf(refute_0_2828,plain,
( multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) != multiply(add(X_196,inverse(Y)),n1)
| multiply(add(X_196,inverse(Y)),n1) != add(X_196,inverse(Y))
| multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = add(X_196,inverse(Y)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))))),bind(Y0,$fot(multiply(add(X_196,inverse(Y)),n1))),bind(Z0,$fot(add(X_196,inverse(Y))))]]) ).
cnf(refute_0_2829,plain,
( multiply(add(X_196,inverse(Y)),n1) != add(X_196,inverse(Y))
| multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = add(X_196,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),multiply(add(X_196,inverse(Y)),n1)) )],[refute_0_2827,refute_0_2828]) ).
cnf(refute_0_2830,plain,
multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) = add(X_196,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(add(X_196,inverse(Y)),n1),add(X_196,inverse(Y))) )],[refute_0_2822,refute_0_2829]) ).
cnf(refute_0_2831,plain,
multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) = multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)))]]) ).
cnf(refute_0_2832,plain,
( multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) != multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))
| multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) != add(X_196,inverse(Y))
| multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))) ),[1,0],$fot(add(X_196,inverse(Y)))]]) ).
cnf(refute_0_2833,plain,
( multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))) != add(X_196,inverse(Y))
| multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))) )],[refute_0_2831,refute_0_2832]) ).
cnf(refute_0_2834,plain,
multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(X_196,inverse(Y))) )],[refute_0_2830,refute_0_2833]) ).
cnf(refute_0_2835,plain,
( multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)) != multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))) ),[1],$fot(multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)))]]) ).
cnf(refute_0_2836,plain,
( pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z)),multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))) )],[refute_0_2834,refute_0_2835]) ).
cnf(refute_0_2837,plain,
pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),multiply(multiply(add(X_196,inverse(Y)),add(add(n1,Y),inverse(Y))),add(inverse(Y),Z))) )],[refute_0_2817,refute_0_2836]) ).
cnf(refute_0_2838,plain,
add(n1,Y) = n1,
inference(subst,[],[refute_0_2630:[bind(X_211,$fot(Y))]]) ).
cnf(refute_0_2839,plain,
multiply(add(n1,Y),add(X_196,inverse(Y))) = multiply(add(n1,Y),add(X_196,inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(add(n1,Y),add(X_196,inverse(Y))))]]) ).
cnf(refute_0_2840,plain,
( multiply(add(n1,Y),add(X_196,inverse(Y))) != multiply(add(n1,Y),add(X_196,inverse(Y)))
| add(n1,Y) != n1
| multiply(add(n1,Y),add(X_196,inverse(Y))) = multiply(n1,add(X_196,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,Y),add(X_196,inverse(Y))),multiply(add(n1,Y),add(X_196,inverse(Y)))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_2841,plain,
( add(n1,Y) != n1
| multiply(add(n1,Y),add(X_196,inverse(Y))) = multiply(n1,add(X_196,inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),add(X_196,inverse(Y))),multiply(add(n1,Y),add(X_196,inverse(Y)))) )],[refute_0_2839,refute_0_2840]) ).
cnf(refute_0_2842,plain,
multiply(add(n1,Y),add(X_196,inverse(Y))) = multiply(n1,add(X_196,inverse(Y))),
inference(resolve,[$cnf( $equal(add(n1,Y),n1) )],[refute_0_2838,refute_0_2841]) ).
cnf(refute_0_2843,plain,
( multiply(add(n1,Y),add(X_196,inverse(Y))) != multiply(n1,add(X_196,inverse(Y)))
| multiply(n1,add(X_196,inverse(Y))) != add(X_196,inverse(Y))
| multiply(add(n1,Y),add(X_196,inverse(Y))) = add(X_196,inverse(Y)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(n1,Y),add(X_196,inverse(Y))))),bind(Y0,$fot(multiply(n1,add(X_196,inverse(Y))))),bind(Z0,$fot(add(X_196,inverse(Y))))]]) ).
cnf(refute_0_2844,plain,
( multiply(n1,add(X_196,inverse(Y))) != add(X_196,inverse(Y))
| multiply(add(n1,Y),add(X_196,inverse(Y))) = add(X_196,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),add(X_196,inverse(Y))),multiply(n1,add(X_196,inverse(Y)))) )],[refute_0_2842,refute_0_2843]) ).
cnf(refute_0_2845,plain,
multiply(add(n1,Y),add(X_196,inverse(Y))) = add(X_196,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_196,inverse(Y))),add(X_196,inverse(Y))) )],[refute_0_2818,refute_0_2844]) ).
cnf(refute_0_2846,plain,
pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),
introduced(tautology,[refl,[$fot(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z))]]) ).
cnf(refute_0_2847,plain,
( multiply(add(n1,Y),add(X_196,inverse(Y))) != add(X_196,inverse(Y))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z)
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = pixley(add(X_196,inverse(Y)),Y,Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z)) ),[1,0],$fot(add(X_196,inverse(Y)))]]) ).
cnf(refute_0_2848,plain,
( multiply(add(n1,Y),add(X_196,inverse(Y))) != add(X_196,inverse(Y))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = pixley(add(X_196,inverse(Y)),Y,Z) ),
inference(resolve,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z)) )],[refute_0_2846,refute_0_2847]) ).
cnf(refute_0_2849,plain,
pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) = pixley(add(X_196,inverse(Y)),Y,Z),
inference(resolve,[$cnf( $equal(multiply(add(n1,Y),add(X_196,inverse(Y))),add(X_196,inverse(Y))) )],[refute_0_2845,refute_0_2848]) ).
cnf(refute_0_2850,plain,
( pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))
| pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != pixley(add(X_196,inverse(Y)),Y,Z)
| pixley(add(X_196,inverse(Y)),Y,Z) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))) ),[0],$fot(pixley(add(X_196,inverse(Y)),Y,Z))]]) ).
cnf(refute_0_2851,plain,
( pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z) != multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))
| pixley(add(X_196,inverse(Y)),Y,Z) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),pixley(add(X_196,inverse(Y)),Y,Z)) )],[refute_0_2849,refute_0_2850]) ).
cnf(refute_0_2852,plain,
pixley(add(X_196,inverse(Y)),Y,Z) = multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(add(n1,Y),add(X_196,inverse(Y))),Y,Z),multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))) )],[refute_0_2837,refute_0_2851]) ).
cnf(refute_0_2853,plain,
( pixley(add(X_196,inverse(Y)),Y,Z) != multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))
| multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) = pixley(add(X_196,inverse(Y)),Y,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_196,inverse(Y)),Y,Z))),bind(Y0,$fot(multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))))]]) ).
cnf(refute_0_2854,plain,
multiply(add(X_196,inverse(Y)),add(inverse(Y),Z)) = pixley(add(X_196,inverse(Y)),Y,Z),
inference(resolve,[$cnf( $equal(pixley(add(X_196,inverse(Y)),Y,Z),multiply(add(X_196,inverse(Y)),add(inverse(Y),Z))) )],[refute_0_2852,refute_0_2853]) ).
cnf(refute_0_2855,plain,
multiply(add(X,inverse(n1)),add(inverse(n1),Z)) = pixley(add(X,inverse(n1)),n1,Z),
inference(subst,[],[refute_0_2854:[bind(Y,$fot(n1)),bind(X_196,$fot(X))]]) ).
cnf(refute_0_2856,plain,
( multiply(add(X,inverse(n1)),add(inverse(n1),Z)) != pixley(add(X,inverse(n1)),n1,Z)
| pixley(add(X,inverse(n1)),n1,Z) != multiply(Z,add(X,inverse(n1)))
| multiply(add(X,inverse(n1)),add(inverse(n1),Z)) = multiply(Z,add(X,inverse(n1))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X,inverse(n1)),add(inverse(n1),Z)))),bind(Y0,$fot(pixley(add(X,inverse(n1)),n1,Z))),bind(Z0,$fot(multiply(Z,add(X,inverse(n1)))))]]) ).
cnf(refute_0_2857,plain,
( pixley(add(X,inverse(n1)),n1,Z) != multiply(Z,add(X,inverse(n1)))
| multiply(add(X,inverse(n1)),add(inverse(n1),Z)) = multiply(Z,add(X,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(n1)),add(inverse(n1),Z)),pixley(add(X,inverse(n1)),n1,Z)) )],[refute_0_2855,refute_0_2856]) ).
cnf(refute_0_2858,plain,
multiply(add(X,inverse(n1)),add(inverse(n1),Z)) = multiply(Z,add(X,inverse(n1))),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(n1)),n1,Z),multiply(Z,add(X,inverse(n1)))) )],[refute_0_2793,refute_0_2857]) ).
cnf(refute_0_2859,plain,
( multiply(add(X,inverse(n1)),add(inverse(n1),Z)) != multiply(Z,add(X,inverse(n1)))
| pixley(X,n1,Z) != multiply(add(X,inverse(n1)),add(inverse(n1),Z))
| pixley(X,n1,Z) = multiply(Z,add(X,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,n1,Z),multiply(add(X,inverse(n1)),add(inverse(n1),Z))) ),[1],$fot(multiply(Z,add(X,inverse(n1))))]]) ).
cnf(refute_0_2860,plain,
( pixley(X,n1,Z) != multiply(add(X,inverse(n1)),add(inverse(n1),Z))
| pixley(X,n1,Z) = multiply(Z,add(X,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(n1)),add(inverse(n1),Z)),multiply(Z,add(X,inverse(n1)))) )],[refute_0_2858,refute_0_2859]) ).
cnf(refute_0_2861,plain,
pixley(X,n1,Z) = multiply(Z,add(X,inverse(n1))),
inference(resolve,[$cnf( $equal(pixley(X,n1,Z),multiply(add(X,inverse(n1)),add(inverse(n1),Z))) )],[refute_0_2761,refute_0_2860]) ).
cnf(refute_0_2862,plain,
( pixley(X,n1,Z) != multiply(Z,add(X,inverse(n1)))
| multiply(Z,add(X,inverse(n1))) = pixley(X,n1,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,n1,Z))),bind(Y0,$fot(multiply(Z,add(X,inverse(n1)))))]]) ).
cnf(refute_0_2863,plain,
multiply(Z,add(X,inverse(n1))) = pixley(X,n1,Z),
inference(resolve,[$cnf( $equal(pixley(X,n1,Z),multiply(Z,add(X,inverse(n1)))) )],[refute_0_2861,refute_0_2862]) ).
cnf(refute_0_2864,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))) = pixley(Y,n1,add(X_244,inverse(n1))),
inference(subst,[],[refute_0_2863:[bind(X,$fot(Y)),bind(Z,$fot(add(X_244,inverse(n1))))]]) ).
cnf(refute_0_2865,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != multiply(add(X_244,inverse(n1)),add(Y,inverse(n1)))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))) != pixley(Y,n1,add(X_244,inverse(n1)))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = pixley(Y,n1,add(X_244,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),pixley(Y,n1,add(X_244,inverse(n1)))) ),[0],$fot(multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))))]]) ).
cnf(refute_0_2866,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != multiply(add(X_244,inverse(n1)),add(Y,inverse(n1)))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = pixley(Y,n1,add(X_244,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(n1))),pixley(Y,n1,add(X_244,inverse(n1)))) )],[refute_0_2864,refute_0_2865]) ).
cnf(refute_0_2867,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = pixley(Y,n1,add(X_244,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),multiply(add(X_244,inverse(n1)),add(Y,inverse(n1)))) )],[refute_0_2745,refute_0_2866]) ).
cnf(refute_0_2868,plain,
multiply(X_53,multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),
inference(subst,[],[refute_0_582:[bind(X_55,$fot(inverse(X_262)))]]) ).
cnf(refute_0_2869,plain,
( multiply(X_53,multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| inverse(inverse(X_262)) != X_262
| multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) ),[0,1,1,1],$fot(X_262)]]) ).
cnf(refute_0_2870,plain,
( multiply(X_53,multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_262)),X_262) )],[refute_0_2204,refute_0_2869]) ).
cnf(refute_0_2871,plain,
multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) )],[refute_0_2868,refute_0_2870]) ).
cnf(refute_0_2872,plain,
multiply(inverse(Z),add(Y,Z)) = add(multiply(Y,inverse(Z)),multiply(Z,inverse(Z))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(Z)))]]) ).
cnf(refute_0_2873,plain,
inverse(n1) = multiply(Z,inverse(Z)),
inference(subst,[],[refute_0_1985:[bind(X_55,$fot(Z))]]) ).
cnf(refute_0_2874,plain,
( inverse(n1) != multiply(Z,inverse(Z))
| multiply(Z,inverse(Z)) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(Z,inverse(Z))))]]) ).
cnf(refute_0_2875,plain,
multiply(Z,inverse(Z)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(Z,inverse(Z))) )],[refute_0_2873,refute_0_2874]) ).
cnf(refute_0_2876,plain,
( multiply(Z,inverse(Z)) != inverse(n1)
| multiply(inverse(Z),add(Y,Z)) != add(multiply(Y,inverse(Z)),multiply(Z,inverse(Z)))
| multiply(inverse(Z),add(Y,Z)) = add(multiply(Y,inverse(Z)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Z),add(Y,Z)),add(multiply(Y,inverse(Z)),multiply(Z,inverse(Z)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2877,plain,
( multiply(inverse(Z),add(Y,Z)) != add(multiply(Y,inverse(Z)),multiply(Z,inverse(Z)))
| multiply(inverse(Z),add(Y,Z)) = add(multiply(Y,inverse(Z)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(Z,inverse(Z)),inverse(n1)) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
multiply(inverse(Z),add(Y,Z)) = add(multiply(Y,inverse(Z)),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),add(Y,Z)),add(multiply(Y,inverse(Z)),multiply(Z,inverse(Z)))) )],[refute_0_2872,refute_0_2877]) ).
cnf(refute_0_2879,plain,
add(multiply(Y,inverse(Z)),inverse(n1)) = multiply(inverse(Z),add(Y,inverse(n1))),
inference(subst,[],[refute_0_2724:[bind(X_243,$fot(Z))]]) ).
cnf(refute_0_2880,plain,
( multiply(inverse(Z),add(Y,Z)) != add(multiply(Y,inverse(Z)),inverse(n1))
| add(multiply(Y,inverse(Z)),inverse(n1)) != multiply(inverse(Z),add(Y,inverse(n1)))
| multiply(inverse(Z),add(Y,Z)) = multiply(inverse(Z),add(Y,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Z),add(Y,Z)),multiply(inverse(Z),add(Y,inverse(n1)))) ),[0],$fot(add(multiply(Y,inverse(Z)),inverse(n1)))]]) ).
cnf(refute_0_2881,plain,
( multiply(inverse(Z),add(Y,Z)) != add(multiply(Y,inverse(Z)),inverse(n1))
| multiply(inverse(Z),add(Y,Z)) = multiply(inverse(Z),add(Y,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,inverse(Z)),inverse(n1)),multiply(inverse(Z),add(Y,inverse(n1)))) )],[refute_0_2879,refute_0_2880]) ).
cnf(refute_0_2882,plain,
multiply(inverse(Z),add(Y,Z)) = multiply(inverse(Z),add(Y,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),add(Y,Z)),add(multiply(Y,inverse(Z)),inverse(n1))) )],[refute_0_2878,refute_0_2881]) ).
cnf(refute_0_2883,plain,
multiply(inverse(Z),add(Y,inverse(n1))) = pixley(Y,n1,inverse(Z)),
inference(subst,[],[refute_0_2863:[bind(X,$fot(Y)),bind(Z,$fot(inverse(Z)))]]) ).
cnf(refute_0_2884,plain,
( multiply(inverse(Z),add(Y,Z)) != multiply(inverse(Z),add(Y,inverse(n1)))
| multiply(inverse(Z),add(Y,inverse(n1))) != pixley(Y,n1,inverse(Z))
| multiply(inverse(Z),add(Y,Z)) = pixley(Y,n1,inverse(Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Z),add(Y,Z)),pixley(Y,n1,inverse(Z))) ),[0],$fot(multiply(inverse(Z),add(Y,inverse(n1))))]]) ).
cnf(refute_0_2885,plain,
( multiply(inverse(Z),add(Y,Z)) != multiply(inverse(Z),add(Y,inverse(n1)))
| multiply(inverse(Z),add(Y,Z)) = pixley(Y,n1,inverse(Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),add(Y,inverse(n1))),pixley(Y,n1,inverse(Z))) )],[refute_0_2883,refute_0_2884]) ).
cnf(refute_0_2886,plain,
multiply(inverse(Z),add(Y,Z)) = pixley(Y,n1,inverse(Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(Z),add(Y,Z)),multiply(inverse(Z),add(Y,inverse(n1)))) )],[refute_0_2882,refute_0_2885]) ).
cnf(refute_0_2887,plain,
multiply(inverse(X_262),add(X_53,X_262)) = pixley(X_53,n1,inverse(X_262)),
inference(subst,[],[refute_0_2886:[bind(Y,$fot(X_53)),bind(Z,$fot(X_262))]]) ).
cnf(refute_0_2888,plain,
multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))),
introduced(tautology,[refl,[$fot(multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))))]]) ).
cnf(refute_0_2889,plain,
( multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) != multiply(X_53,multiply(inverse(X_262),add(X_53,X_262)))
| multiply(inverse(X_262),add(X_53,X_262)) != pixley(X_53,n1,inverse(X_262))
| multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(X_53,pixley(X_53,n1,inverse(X_262))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))),multiply(X_53,multiply(inverse(X_262),add(X_53,X_262)))) ),[1,1],$fot(pixley(X_53,n1,inverse(X_262)))]]) ).
cnf(refute_0_2890,plain,
( multiply(inverse(X_262),add(X_53,X_262)) != pixley(X_53,n1,inverse(X_262))
| multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(X_53,pixley(X_53,n1,inverse(X_262))) ),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))),multiply(X_53,multiply(inverse(X_262),add(X_53,X_262)))) )],[refute_0_2888,refute_0_2889]) ).
cnf(refute_0_2891,plain,
multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) = multiply(X_53,pixley(X_53,n1,inverse(X_262))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_262),add(X_53,X_262)),pixley(X_53,n1,inverse(X_262))) )],[refute_0_2887,refute_0_2890]) ).
cnf(refute_0_2892,plain,
( multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) != multiply(X_53,pixley(X_53,n1,inverse(X_262)))
| multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| multiply(X_53,pixley(X_53,n1,inverse(X_262))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) ),[0],$fot(multiply(X_53,pixley(X_53,n1,inverse(X_262))))]]) ).
cnf(refute_0_2893,plain,
( multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| multiply(X_53,pixley(X_53,n1,inverse(X_262))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) ),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))),multiply(X_53,pixley(X_53,n1,inverse(X_262)))) )],[refute_0_2891,refute_0_2892]) ).
cnf(refute_0_2894,plain,
add(X_53,inverse(inverse(X_262))) = add(X_53,inverse(inverse(X_262))),
introduced(tautology,[refl,[$fot(add(X_53,inverse(inverse(X_262))))]]) ).
cnf(refute_0_2895,plain,
( add(X_53,inverse(inverse(X_262))) != add(X_53,inverse(inverse(X_262)))
| inverse(inverse(X_262)) != X_262
| add(X_53,inverse(inverse(X_262))) = add(X_53,X_262) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_53,inverse(inverse(X_262))),add(X_53,inverse(inverse(X_262)))) ),[1,1],$fot(X_262)]]) ).
cnf(refute_0_2896,plain,
( inverse(inverse(X_262)) != X_262
| add(X_53,inverse(inverse(X_262))) = add(X_53,X_262) ),
inference(resolve,[$cnf( $equal(add(X_53,inverse(inverse(X_262))),add(X_53,inverse(inverse(X_262)))) )],[refute_0_2894,refute_0_2895]) ).
cnf(refute_0_2897,plain,
add(X_53,inverse(inverse(X_262))) = add(X_53,X_262),
inference(resolve,[$cnf( $equal(inverse(inverse(X_262)),X_262) )],[refute_0_2204,refute_0_2896]) ).
cnf(refute_0_2898,plain,
multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))))]]) ).
cnf(refute_0_2899,plain,
( multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| add(X_53,inverse(inverse(X_262))) != add(X_53,X_262)
| multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = multiply(inverse(X_262),add(X_53,X_262)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) ),[1,1],$fot(add(X_53,X_262))]]) ).
cnf(refute_0_2900,plain,
( add(X_53,inverse(inverse(X_262))) != add(X_53,X_262)
| multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = multiply(inverse(X_262),add(X_53,X_262)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) )],[refute_0_2898,refute_0_2899]) ).
cnf(refute_0_2901,plain,
multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = multiply(inverse(X_262),add(X_53,X_262)),
inference(resolve,[$cnf( $equal(add(X_53,inverse(inverse(X_262))),add(X_53,X_262)) )],[refute_0_2897,refute_0_2900]) ).
cnf(refute_0_2902,plain,
( multiply(inverse(X_262),add(X_53,X_262)) != pixley(X_53,n1,inverse(X_262))
| multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) != multiply(inverse(X_262),add(X_53,X_262))
| multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = pixley(X_53,n1,inverse(X_262)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))))),bind(Y0,$fot(multiply(inverse(X_262),add(X_53,X_262)))),bind(Z0,$fot(pixley(X_53,n1,inverse(X_262))))]]) ).
cnf(refute_0_2903,plain,
( multiply(inverse(X_262),add(X_53,X_262)) != pixley(X_53,n1,inverse(X_262))
| multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = pixley(X_53,n1,inverse(X_262)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),multiply(inverse(X_262),add(X_53,X_262))) )],[refute_0_2901,refute_0_2902]) ).
cnf(refute_0_2904,plain,
multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) = pixley(X_53,n1,inverse(X_262)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_262),add(X_53,X_262)),pixley(X_53,n1,inverse(X_262))) )],[refute_0_2887,refute_0_2903]) ).
cnf(refute_0_2905,plain,
( multiply(X_53,pixley(X_53,n1,inverse(X_262))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))) != pixley(X_53,n1,inverse(X_262))
| multiply(X_53,pixley(X_53,n1,inverse(X_262))) = pixley(X_53,n1,inverse(X_262)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_53,pixley(X_53,n1,inverse(X_262))),pixley(X_53,n1,inverse(X_262))) ),[0],$fot(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))))]]) ).
cnf(refute_0_2906,plain,
( multiply(X_53,pixley(X_53,n1,inverse(X_262))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| multiply(X_53,pixley(X_53,n1,inverse(X_262))) = pixley(X_53,n1,inverse(X_262)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_262),add(X_53,inverse(inverse(X_262)))),pixley(X_53,n1,inverse(X_262))) )],[refute_0_2904,refute_0_2905]) ).
cnf(refute_0_2907,plain,
( multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))) != multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))
| multiply(X_53,pixley(X_53,n1,inverse(X_262))) = pixley(X_53,n1,inverse(X_262)) ),
inference(resolve,[$cnf( $equal(multiply(X_53,pixley(X_53,n1,inverse(X_262))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) )],[refute_0_2893,refute_0_2906]) ).
cnf(refute_0_2908,plain,
multiply(X_53,pixley(X_53,n1,inverse(X_262))) = pixley(X_53,n1,inverse(X_262)),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(inverse(X_262),add(X_53,X_262))),multiply(inverse(X_262),add(X_53,inverse(inverse(X_262))))) )],[refute_0_2871,refute_0_2907]) ).
cnf(refute_0_2909,plain,
multiply(X_268,pixley(X_268,n1,inverse(inverse(Y)))) = pixley(X_268,n1,inverse(inverse(Y))),
inference(subst,[],[refute_0_2908:[bind(X_262,$fot(inverse(Y))),bind(X_53,$fot(X_268))]]) ).
cnf(refute_0_2910,plain,
( multiply(X_268,pixley(X_268,n1,inverse(inverse(Y)))) != pixley(X_268,n1,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(X_268,pixley(X_268,n1,Y)) = pixley(X_268,n1,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_268,pixley(X_268,n1,inverse(inverse(Y)))),pixley(X_268,n1,inverse(inverse(Y)))) ),[0,1,2],$fot(Y)]]) ).
cnf(refute_0_2911,plain,
( multiply(X_268,pixley(X_268,n1,inverse(inverse(Y)))) != pixley(X_268,n1,inverse(inverse(Y)))
| multiply(X_268,pixley(X_268,n1,Y)) = pixley(X_268,n1,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2910]) ).
cnf(refute_0_2912,plain,
multiply(X_268,pixley(X_268,n1,Y)) = pixley(X_268,n1,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(X_268,pixley(X_268,n1,inverse(inverse(Y)))),pixley(X_268,n1,inverse(inverse(Y)))) )],[refute_0_2909,refute_0_2911]) ).
cnf(refute_0_2913,plain,
pixley(X_268,n1,inverse(inverse(Y))) = pixley(X_268,n1,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(pixley(X_268,n1,inverse(inverse(Y))))]]) ).
cnf(refute_0_2914,plain,
( inverse(inverse(Y)) != Y
| pixley(X_268,n1,inverse(inverse(Y))) != pixley(X_268,n1,inverse(inverse(Y)))
| pixley(X_268,n1,inverse(inverse(Y))) = pixley(X_268,n1,Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_268,n1,inverse(inverse(Y))),pixley(X_268,n1,inverse(inverse(Y)))) ),[1,2],$fot(Y)]]) ).
cnf(refute_0_2915,plain,
( inverse(inverse(Y)) != Y
| pixley(X_268,n1,inverse(inverse(Y))) = pixley(X_268,n1,Y) ),
inference(resolve,[$cnf( $equal(pixley(X_268,n1,inverse(inverse(Y))),pixley(X_268,n1,inverse(inverse(Y)))) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
pixley(X_268,n1,inverse(inverse(Y))) = pixley(X_268,n1,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_2915]) ).
cnf(refute_0_2917,plain,
( multiply(X_268,pixley(X_268,n1,Y)) != pixley(X_268,n1,inverse(inverse(Y)))
| pixley(X_268,n1,inverse(inverse(Y))) != pixley(X_268,n1,Y)
| multiply(X_268,pixley(X_268,n1,Y)) = pixley(X_268,n1,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_268,pixley(X_268,n1,Y)),pixley(X_268,n1,Y)) ),[0],$fot(pixley(X_268,n1,inverse(inverse(Y))))]]) ).
cnf(refute_0_2918,plain,
( multiply(X_268,pixley(X_268,n1,Y)) != pixley(X_268,n1,inverse(inverse(Y)))
| multiply(X_268,pixley(X_268,n1,Y)) = pixley(X_268,n1,Y) ),
inference(resolve,[$cnf( $equal(pixley(X_268,n1,inverse(inverse(Y))),pixley(X_268,n1,Y)) )],[refute_0_2916,refute_0_2917]) ).
cnf(refute_0_2919,plain,
multiply(X_268,pixley(X_268,n1,Y)) = pixley(X_268,n1,Y),
inference(resolve,[$cnf( $equal(multiply(X_268,pixley(X_268,n1,Y)),pixley(X_268,n1,inverse(inverse(Y)))) )],[refute_0_2912,refute_0_2918]) ).
cnf(refute_0_2920,plain,
multiply(X_268,pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) = pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)),
inference(subst,[],[refute_0_2919:[bind(Y,$fot(pixley(add(X_293,X_268),X_294,X_268)))]]) ).
cnf(refute_0_2921,plain,
multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)) = add(multiply(Y,pixley(add(X_269,Y),X_270,Y)),multiply(Z,pixley(add(X_269,Y),X_270,Y))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(pixley(add(X_269,Y),X_270,Y)))]]) ).
cnf(refute_0_2922,plain,
multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(add(X,X_55),inverse(X_54)))) = multiply(X_55,add(add(X,X_55),inverse(X_54))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(add(X,X_55))),bind(X_11,$fot(X_54)),bind(X_12,$fot(X_55))]]) ).
cnf(refute_0_2923,plain,
multiply(X_55,add(add(X,X_55),inverse(X_54))) = add(X_55,multiply(inverse(X_54),X_55)),
inference(subst,[],[refute_0_21:[bind(X_21,$fot(X_55)),bind(X_23,$fot(inverse(X_54)))]]) ).
cnf(refute_0_2924,plain,
( multiply(X_55,add(add(X,X_55),inverse(X_54))) != add(X_55,multiply(inverse(X_54),X_55))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(add(X,X_55),inverse(X_54)))) != multiply(X_55,add(add(X,X_55),inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(X_55,add(add(X,X_55),inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(add(X,X_55),inverse(X_54)))),multiply(X_55,add(add(X,X_55),inverse(X_54)))) ),[0,1],$fot(add(X_55,multiply(inverse(X_54),X_55)))]]) ).
cnf(refute_0_2925,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(add(X,X_55),inverse(X_54)))) != multiply(X_55,add(add(X,X_55),inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(X_55,add(add(X,X_55),inverse(X_54))) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(add(X,X_55),inverse(X_54))),add(X_55,multiply(inverse(X_54),X_55))) )],[refute_0_2923,refute_0_2924]) ).
cnf(refute_0_2926,plain,
multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(X_55,add(add(X,X_55),inverse(X_54))),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(add(X,X_55),inverse(X_54)))),multiply(X_55,add(add(X,X_55),inverse(X_54)))) )],[refute_0_2922,refute_0_2925]) ).
cnf(refute_0_2927,plain,
( multiply(X_55,add(add(X,X_55),inverse(X_54))) != add(X_55,multiply(inverse(X_54),X_55))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != multiply(X_55,add(add(X,X_55),inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = add(X_55,multiply(inverse(X_54),X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),multiply(X_55,add(add(X,X_55),inverse(X_54)))) ),[1],$fot(add(X_55,multiply(inverse(X_54),X_55)))]]) ).
cnf(refute_0_2928,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != multiply(X_55,add(add(X,X_55),inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = add(X_55,multiply(inverse(X_54),X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(add(X,X_55),inverse(X_54))),add(X_55,multiply(inverse(X_54),X_55))) )],[refute_0_2923,refute_0_2927]) ).
cnf(refute_0_2929,plain,
multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = add(X_55,multiply(inverse(X_54),X_55)),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),multiply(X_55,add(add(X,X_55),inverse(X_54)))) )],[refute_0_2926,refute_0_2928]) ).
cnf(refute_0_2930,plain,
add(X_55,multiply(inverse(X_54),X_55)) = multiply(X_55,add(X_55,inverse(X_54))),
inference(subst,[],[refute_0_2105:[bind(X,$fot(X_55)),bind(Z,$fot(inverse(X_54)))]]) ).
cnf(refute_0_2931,plain,
multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),
introduced(tautology,[refl,[$fot(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))))]]) ).
cnf(refute_0_2932,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55)))
| add(X_55,multiply(inverse(X_54),X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55)))) ),[1,1],$fot(multiply(X_55,add(X_55,inverse(X_54))))]]) ).
cnf(refute_0_2933,plain,
( add(X_55,multiply(inverse(X_54),X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55)))) )],[refute_0_2931,refute_0_2932]) ).
cnf(refute_0_2934,plain,
multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) = multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),
inference(resolve,[$cnf( $equal(add(X_55,multiply(inverse(X_54),X_55)),multiply(X_55,add(X_55,inverse(X_54)))) )],[refute_0_2930,refute_0_2933]) ).
cnf(refute_0_2935,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54))))
| multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != add(X_55,multiply(inverse(X_54),X_55))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = add(X_55,multiply(inverse(X_54),X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),add(X_55,multiply(inverse(X_54),X_55))) ),[0],$fot(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))))]]) ).
cnf(refute_0_2936,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != add(X_55,multiply(inverse(X_54),X_55))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = add(X_55,multiply(inverse(X_54),X_55)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54))))) )],[refute_0_2934,refute_0_2935]) ).
cnf(refute_0_2937,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != add(X_55,multiply(inverse(X_54),X_55))
| add(X_55,multiply(inverse(X_54),X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),multiply(X_55,add(X_55,inverse(X_54)))) ),[0],$fot(add(X_55,multiply(inverse(X_54),X_55)))]]) ).
cnf(refute_0_2938,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != add(X_55,multiply(inverse(X_54),X_55))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(add(X_55,multiply(inverse(X_54),X_55)),multiply(X_55,add(X_55,inverse(X_54)))) )],[refute_0_2930,refute_0_2937]) ).
cnf(refute_0_2939,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))) != add(X_55,multiply(inverse(X_54),X_55))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),add(X_55,multiply(inverse(X_54),X_55))) )],[refute_0_2936,refute_0_2938]) ).
cnf(refute_0_2940,plain,
multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = multiply(X_55,add(X_55,inverse(X_54))),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),add(X_55,multiply(inverse(X_54),X_55))),add(X_55,multiply(inverse(X_54),X_55))) )],[refute_0_2929,refute_0_2939]) ).
cnf(refute_0_2941,plain,
multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) = multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(multiply(X_55,add(X_55,inverse(X_54))))),bind(Z,$fot(pixley(add(X,X_55),X_54,X_55)))]]) ).
cnf(refute_0_2942,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55))
| multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,add(X_55,inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),multiply(X_55,add(X_55,inverse(X_54)))) ),[0],$fot(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)))]]) ).
cnf(refute_0_2943,plain,
( multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,add(X_55,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55))) )],[refute_0_2941,refute_0_2942]) ).
cnf(refute_0_2944,plain,
multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,add(X_55,inverse(X_54))),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X,X_55),X_54,X_55),multiply(X_55,add(X_55,inverse(X_54)))),multiply(X_55,add(X_55,inverse(X_54)))) )],[refute_0_2940,refute_0_2943]) ).
cnf(refute_0_2945,plain,
multiply(X_55,add(X_55,inverse(X_54))) = X_55,
inference(subst,[],[refute_0_2641:[bind(Z,$fot(inverse(X_54))),bind(X_26,$fot(X_55))]]) ).
cnf(refute_0_2946,plain,
multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)))]]) ).
cnf(refute_0_2947,plain,
( multiply(X_55,add(X_55,inverse(X_54))) != X_55
| multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) != multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55))
| multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,pixley(add(X,X_55),X_54,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55))) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_2948,plain,
( multiply(X_55,add(X_55,inverse(X_54))) != X_55
| multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,pixley(add(X,X_55),X_54,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55))) )],[refute_0_2946,refute_0_2947]) ).
cnf(refute_0_2949,plain,
multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,pixley(add(X,X_55),X_54,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_55,add(X_55,inverse(X_54))),X_55) )],[refute_0_2945,refute_0_2948]) ).
cnf(refute_0_2950,plain,
( multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) != multiply(X_55,pixley(add(X,X_55),X_54,X_55))
| multiply(X_55,pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,add(X_55,inverse(X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),multiply(X_55,add(X_55,inverse(X_54)))) ),[0],$fot(multiply(X_55,pixley(add(X,X_55),X_54,X_55)))]]) ).
cnf(refute_0_2951,plain,
( multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(X_55,pixley(add(X,X_55),X_54,X_55)) = multiply(X_55,add(X_55,inverse(X_54))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),multiply(X_55,pixley(add(X,X_55),X_54,X_55))) )],[refute_0_2949,refute_0_2950]) ).
cnf(refute_0_2952,plain,
( multiply(X_55,add(X_55,inverse(X_54))) != X_55
| multiply(X_55,pixley(add(X,X_55),X_54,X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(X_55,pixley(add(X,X_55),X_54,X_55)) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,pixley(add(X,X_55),X_54,X_55)),multiply(X_55,add(X_55,inverse(X_54)))) ),[1],$fot(X_55)]]) ).
cnf(refute_0_2953,plain,
( multiply(X_55,pixley(add(X,X_55),X_54,X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(X_55,pixley(add(X,X_55),X_54,X_55)) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(X_55,inverse(X_54))),X_55) )],[refute_0_2945,refute_0_2952]) ).
cnf(refute_0_2954,plain,
( multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)) != multiply(X_55,add(X_55,inverse(X_54)))
| multiply(X_55,pixley(add(X,X_55),X_54,X_55)) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(X_55,pixley(add(X,X_55),X_54,X_55)),multiply(X_55,add(X_55,inverse(X_54)))) )],[refute_0_2951,refute_0_2953]) ).
cnf(refute_0_2955,plain,
multiply(X_55,pixley(add(X,X_55),X_54,X_55)) = X_55,
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,add(X_55,inverse(X_54))),pixley(add(X,X_55),X_54,X_55)),multiply(X_55,add(X_55,inverse(X_54)))) )],[refute_0_2944,refute_0_2954]) ).
cnf(refute_0_2956,plain,
multiply(Y,pixley(add(X_269,Y),X_270,Y)) = Y,
inference(subst,[],[refute_0_2955:[bind(X,$fot(X_269)),bind(X_54,$fot(X_270)),bind(X_55,$fot(Y))]]) ).
cnf(refute_0_2957,plain,
( multiply(Y,pixley(add(X_269,Y),X_270,Y)) != Y
| multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)) != add(multiply(Y,pixley(add(X_269,Y),X_270,Y)),multiply(Z,pixley(add(X_269,Y),X_270,Y)))
| multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)) = add(Y,multiply(Z,pixley(add(X_269,Y),X_270,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)),add(multiply(Y,pixley(add(X_269,Y),X_270,Y)),multiply(Z,pixley(add(X_269,Y),X_270,Y)))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_2958,plain,
( multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)) != add(multiply(Y,pixley(add(X_269,Y),X_270,Y)),multiply(Z,pixley(add(X_269,Y),X_270,Y)))
| multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)) = add(Y,multiply(Z,pixley(add(X_269,Y),X_270,Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,pixley(add(X_269,Y),X_270,Y)),Y) )],[refute_0_2956,refute_0_2957]) ).
cnf(refute_0_2959,plain,
multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)) = add(Y,multiply(Z,pixley(add(X_269,Y),X_270,Y))),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_269,Y),X_270,Y),add(Y,Z)),add(multiply(Y,pixley(add(X_269,Y),X_270,Y)),multiply(Z,pixley(add(X_269,Y),X_270,Y)))) )],[refute_0_2921,refute_0_2958]) ).
cnf(refute_0_2960,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) = add(X_288,multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288))),
inference(subst,[],[refute_0_2959:[bind(Y,$fot(X_288)),bind(Z,$fot(inverse(n1))),bind(X_269,$fot(X_290)),bind(X_270,$fot(X_291))]]) ).
cnf(refute_0_2961,plain,
multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)) = inverse(n1),
inference(subst,[],[refute_0_1981:[bind(X_12,$fot(pixley(add(X_290,X_288),X_291,X_288)))]]) ).
cnf(refute_0_2962,plain,
( multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)) != inverse(n1)
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) != add(X_288,multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)))
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) = add(X_288,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))),add(X_288,multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_2963,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) != add(X_288,multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)))
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) = add(X_288,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)),inverse(n1)) )],[refute_0_2961,refute_0_2962]) ).
cnf(refute_0_2964,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) = add(X_288,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))),add(X_288,multiply(inverse(n1),pixley(add(X_290,X_288),X_291,X_288)))) )],[refute_0_2960,refute_0_2963]) ).
cnf(refute_0_2965,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) = pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288)),
inference(subst,[],[refute_0_2863:[bind(X,$fot(X_288)),bind(Z,$fot(pixley(add(X_290,X_288),X_291,X_288)))]]) ).
cnf(refute_0_2966,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) != add(X_288,inverse(n1))
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) != pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288))
| pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288)) = add(X_288,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))),add(X_288,inverse(n1))) ),[0],$fot(pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288)))]]) ).
cnf(refute_0_2967,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))) != add(X_288,inverse(n1))
| pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288)) = add(X_288,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))),pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288))) )],[refute_0_2965,refute_0_2966]) ).
cnf(refute_0_2968,plain,
pixley(X_288,n1,pixley(add(X_290,X_288),X_291,X_288)) = add(X_288,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,inverse(n1))),add(X_288,inverse(n1))) )],[refute_0_2964,refute_0_2967]) ).
cnf(refute_0_2969,plain,
pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) = add(X_268,inverse(n1)),
inference(subst,[],[refute_0_2968:[bind(X_288,$fot(X_268)),bind(X_290,$fot(X_293)),bind(X_291,$fot(X_294))]]) ).
cnf(refute_0_2970,plain,
( multiply(X_268,pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) != add(X_268,inverse(n1))
| multiply(X_268,add(X_268,inverse(n1))) = pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_268,pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))),pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) ),[0,1],$fot(add(X_268,inverse(n1)))]]) ).
cnf(refute_0_2971,plain,
( multiply(X_268,pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| multiply(X_268,add(X_268,inverse(n1))) = pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) ),
inference(resolve,[$cnf( $equal(pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)),add(X_268,inverse(n1))) )],[refute_0_2969,refute_0_2970]) ).
cnf(refute_0_2972,plain,
multiply(X_268,add(X_268,inverse(n1))) = pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)),
inference(resolve,[$cnf( $equal(multiply(X_268,pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))),pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) )],[refute_0_2920,refute_0_2971]) ).
cnf(refute_0_2973,plain,
pixley(X_268,n1,X_268) = X_268,
inference(subst,[],[pixley3:[bind(X,$fot(X_268)),bind(Y,$fot(n1))]]) ).
cnf(refute_0_2974,plain,
multiply(X_268,add(X_268,inverse(n1))) = pixley(X_268,n1,X_268),
inference(subst,[],[refute_0_2863:[bind(X,$fot(X_268)),bind(Z,$fot(X_268))]]) ).
cnf(refute_0_2975,plain,
( multiply(X_268,add(X_268,inverse(n1))) != pixley(X_268,n1,X_268)
| pixley(X_268,n1,X_268) != X_268
| multiply(X_268,add(X_268,inverse(n1))) = X_268 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_268,add(X_268,inverse(n1))))),bind(Y0,$fot(pixley(X_268,n1,X_268))),bind(Z0,$fot(X_268))]]) ).
cnf(refute_0_2976,plain,
( pixley(X_268,n1,X_268) != X_268
| multiply(X_268,add(X_268,inverse(n1))) = X_268 ),
inference(resolve,[$cnf( $equal(multiply(X_268,add(X_268,inverse(n1))),pixley(X_268,n1,X_268)) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
multiply(X_268,add(X_268,inverse(n1))) = X_268,
inference(resolve,[$cnf( $equal(pixley(X_268,n1,X_268),X_268) )],[refute_0_2973,refute_0_2976]) ).
cnf(refute_0_2978,plain,
( multiply(X_268,add(X_268,inverse(n1))) != X_268
| multiply(X_268,add(X_268,inverse(n1))) != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| X_268 = pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_268,add(X_268,inverse(n1))),pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) ),[0],$fot(X_268)]]) ).
cnf(refute_0_2979,plain,
( multiply(X_268,add(X_268,inverse(n1))) != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| X_268 = pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) ),
inference(resolve,[$cnf( $equal(multiply(X_268,add(X_268,inverse(n1))),X_268) )],[refute_0_2977,refute_0_2978]) ).
cnf(refute_0_2980,plain,
( X_268 != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)) != add(X_268,inverse(n1))
| X_268 = add(X_268,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_268,add(X_268,inverse(n1))) ),[0],$fot(pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)))]]) ).
cnf(refute_0_2981,plain,
( X_268 != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| X_268 = add(X_268,inverse(n1)) ),
inference(resolve,[$cnf( $equal(pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268)),add(X_268,inverse(n1))) )],[refute_0_2969,refute_0_2980]) ).
cnf(refute_0_2982,plain,
( multiply(X_268,add(X_268,inverse(n1))) != pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))
| X_268 = add(X_268,inverse(n1)) ),
inference(resolve,[$cnf( $equal(X_268,pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) )],[refute_0_2979,refute_0_2981]) ).
cnf(refute_0_2983,plain,
X_268 = add(X_268,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(X_268,add(X_268,inverse(n1))),pixley(X_268,n1,pixley(add(X_293,X_268),X_294,X_268))) )],[refute_0_2972,refute_0_2982]) ).
cnf(refute_0_2984,plain,
( X_268 != add(X_268,inverse(n1))
| add(X_268,inverse(n1)) = X_268 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_268)),bind(Y0,$fot(add(X_268,inverse(n1))))]]) ).
cnf(refute_0_2985,plain,
add(X_268,inverse(n1)) = X_268,
inference(resolve,[$cnf( $equal(X_268,add(X_268,inverse(n1))) )],[refute_0_2983,refute_0_2984]) ).
cnf(refute_0_2986,plain,
add(X_244,inverse(n1)) = X_244,
inference(subst,[],[refute_0_2985:[bind(X_268,$fot(X_244))]]) ).
cnf(refute_0_2987,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),
introduced(tautology,[refl,[$fot(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))))]]) ).
cnf(refute_0_2988,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244)))
| add(X_244,inverse(n1)) != X_244
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(X_244,add(Y,inverse(X_244))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244)))) ),[1,0],$fot(X_244)]]) ).
cnf(refute_0_2989,plain,
( add(X_244,inverse(n1)) != X_244
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(X_244,add(Y,inverse(X_244))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244)))) )],[refute_0_2987,refute_0_2988]) ).
cnf(refute_0_2990,plain,
multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) = multiply(X_244,add(Y,inverse(X_244))),
inference(resolve,[$cnf( $equal(add(X_244,inverse(n1)),X_244) )],[refute_0_2986,refute_0_2989]) ).
cnf(refute_0_2991,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != multiply(X_244,add(Y,inverse(X_244)))
| multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != pixley(Y,n1,add(X_244,inverse(n1)))
| multiply(X_244,add(Y,inverse(X_244))) = pixley(Y,n1,add(X_244,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),pixley(Y,n1,add(X_244,inverse(n1)))) ),[0],$fot(multiply(X_244,add(Y,inverse(X_244))))]]) ).
cnf(refute_0_2992,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != pixley(Y,n1,add(X_244,inverse(n1)))
| multiply(X_244,add(Y,inverse(X_244))) = pixley(Y,n1,add(X_244,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),multiply(X_244,add(Y,inverse(X_244)))) )],[refute_0_2990,refute_0_2991]) ).
cnf(refute_0_2993,plain,
pixley(Y,n1,add(X_244,inverse(n1))) = pixley(Y,n1,add(X_244,inverse(n1))),
introduced(tautology,[refl,[$fot(pixley(Y,n1,add(X_244,inverse(n1))))]]) ).
cnf(refute_0_2994,plain,
( add(X_244,inverse(n1)) != X_244
| pixley(Y,n1,add(X_244,inverse(n1))) != pixley(Y,n1,add(X_244,inverse(n1)))
| pixley(Y,n1,add(X_244,inverse(n1))) = pixley(Y,n1,X_244) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(Y,n1,add(X_244,inverse(n1))),pixley(Y,n1,add(X_244,inverse(n1)))) ),[1,2],$fot(X_244)]]) ).
cnf(refute_0_2995,plain,
( add(X_244,inverse(n1)) != X_244
| pixley(Y,n1,add(X_244,inverse(n1))) = pixley(Y,n1,X_244) ),
inference(resolve,[$cnf( $equal(pixley(Y,n1,add(X_244,inverse(n1))),pixley(Y,n1,add(X_244,inverse(n1)))) )],[refute_0_2993,refute_0_2994]) ).
cnf(refute_0_2996,plain,
pixley(Y,n1,add(X_244,inverse(n1))) = pixley(Y,n1,X_244),
inference(resolve,[$cnf( $equal(add(X_244,inverse(n1)),X_244) )],[refute_0_2986,refute_0_2995]) ).
cnf(refute_0_2997,plain,
( multiply(X_244,add(Y,inverse(X_244))) != pixley(Y,n1,add(X_244,inverse(n1)))
| pixley(Y,n1,add(X_244,inverse(n1))) != pixley(Y,n1,X_244)
| multiply(X_244,add(Y,inverse(X_244))) = pixley(Y,n1,X_244) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_244,add(Y,inverse(X_244))),pixley(Y,n1,X_244)) ),[0],$fot(pixley(Y,n1,add(X_244,inverse(n1))))]]) ).
cnf(refute_0_2998,plain,
( multiply(X_244,add(Y,inverse(X_244))) != pixley(Y,n1,add(X_244,inverse(n1)))
| multiply(X_244,add(Y,inverse(X_244))) = pixley(Y,n1,X_244) ),
inference(resolve,[$cnf( $equal(pixley(Y,n1,add(X_244,inverse(n1))),pixley(Y,n1,X_244)) )],[refute_0_2996,refute_0_2997]) ).
cnf(refute_0_2999,plain,
( multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))) != pixley(Y,n1,add(X_244,inverse(n1)))
| multiply(X_244,add(Y,inverse(X_244))) = pixley(Y,n1,X_244) ),
inference(resolve,[$cnf( $equal(multiply(X_244,add(Y,inverse(X_244))),pixley(Y,n1,add(X_244,inverse(n1)))) )],[refute_0_2992,refute_0_2998]) ).
cnf(refute_0_3000,plain,
multiply(X_244,add(Y,inverse(X_244))) = pixley(Y,n1,X_244),
inference(resolve,[$cnf( $equal(multiply(add(X_244,inverse(n1)),add(Y,inverse(X_244))),pixley(Y,n1,add(X_244,inverse(n1)))) )],[refute_0_2867,refute_0_2999]) ).
cnf(refute_0_3001,plain,
add(X,inverse(n1)) = X,
inference(subst,[],[refute_0_2985:[bind(X_268,$fot(X))]]) ).
cnf(refute_0_3002,plain,
multiply(Z,add(X,inverse(n1))) = multiply(Z,add(X,inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(Z,add(X,inverse(n1))))]]) ).
cnf(refute_0_3003,plain,
( multiply(Z,add(X,inverse(n1))) != multiply(Z,add(X,inverse(n1)))
| add(X,inverse(n1)) != X
| multiply(Z,add(X,inverse(n1))) = multiply(Z,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(X,inverse(n1))),multiply(Z,add(X,inverse(n1)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_3004,plain,
( add(X,inverse(n1)) != X
| multiply(Z,add(X,inverse(n1))) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(n1))),multiply(Z,add(X,inverse(n1)))) )],[refute_0_3002,refute_0_3003]) ).
cnf(refute_0_3005,plain,
multiply(Z,add(X,inverse(n1))) = multiply(Z,X),
inference(resolve,[$cnf( $equal(add(X,inverse(n1)),X) )],[refute_0_3001,refute_0_3004]) ).
cnf(refute_0_3006,plain,
( multiply(Z,add(X,inverse(n1))) != multiply(Z,X)
| pixley(X,n1,Z) != multiply(Z,add(X,inverse(n1)))
| pixley(X,n1,Z) = multiply(Z,X) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,n1,Z),multiply(Z,add(X,inverse(n1)))) ),[1],$fot(multiply(Z,X))]]) ).
cnf(refute_0_3007,plain,
( pixley(X,n1,Z) != multiply(Z,add(X,inverse(n1)))
| pixley(X,n1,Z) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(n1))),multiply(Z,X)) )],[refute_0_3005,refute_0_3006]) ).
cnf(refute_0_3008,plain,
pixley(X,n1,Z) = multiply(Z,X),
inference(resolve,[$cnf( $equal(pixley(X,n1,Z),multiply(Z,add(X,inverse(n1)))) )],[refute_0_2861,refute_0_3007]) ).
cnf(refute_0_3009,plain,
pixley(Y,n1,X_244) = multiply(X_244,Y),
inference(subst,[],[refute_0_3008:[bind(X,$fot(Y)),bind(Z,$fot(X_244))]]) ).
cnf(refute_0_3010,plain,
( multiply(X_244,add(Y,inverse(X_244))) != pixley(Y,n1,X_244)
| pixley(Y,n1,X_244) != multiply(X_244,Y)
| multiply(X_244,add(Y,inverse(X_244))) = multiply(X_244,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_244,add(Y,inverse(X_244))),multiply(X_244,Y)) ),[0],$fot(pixley(Y,n1,X_244))]]) ).
cnf(refute_0_3011,plain,
( multiply(X_244,add(Y,inverse(X_244))) != pixley(Y,n1,X_244)
| multiply(X_244,add(Y,inverse(X_244))) = multiply(X_244,Y) ),
inference(resolve,[$cnf( $equal(pixley(Y,n1,X_244),multiply(X_244,Y)) )],[refute_0_3009,refute_0_3010]) ).
cnf(refute_0_3012,plain,
multiply(X_244,add(Y,inverse(X_244))) = multiply(X_244,Y),
inference(resolve,[$cnf( $equal(multiply(X_244,add(Y,inverse(X_244))),pixley(Y,n1,X_244)) )],[refute_0_3000,refute_0_3011]) ).
cnf(refute_0_3013,plain,
multiply(X_308,add(X_310,inverse(X_308))) = multiply(X_308,X_310),
inference(subst,[],[refute_0_3012:[bind(Y,$fot(X_310)),bind(X_244,$fot(X_308))]]) ).
cnf(refute_0_3014,plain,
multiply(X,add(Y,inverse(n1))) = add(multiply(Y,X),multiply(inverse(n1),X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(inverse(n1)))]]) ).
cnf(refute_0_3015,plain,
multiply(inverse(n1),X) = inverse(n1),
inference(subst,[],[refute_0_1981:[bind(X_12,$fot(X))]]) ).
cnf(refute_0_3016,plain,
( multiply(X,add(Y,inverse(n1))) != add(multiply(Y,X),multiply(inverse(n1),X))
| multiply(inverse(n1),X) != inverse(n1)
| multiply(X,add(Y,inverse(n1))) = add(multiply(Y,X),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,inverse(n1))),add(multiply(Y,X),multiply(inverse(n1),X))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_3017,plain,
( multiply(X,add(Y,inverse(n1))) != add(multiply(Y,X),multiply(inverse(n1),X))
| multiply(X,add(Y,inverse(n1))) = add(multiply(Y,X),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),X),inverse(n1)) )],[refute_0_3015,refute_0_3016]) ).
cnf(refute_0_3018,plain,
multiply(X,add(Y,inverse(n1))) = add(multiply(Y,X),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,inverse(n1))),add(multiply(Y,X),multiply(inverse(n1),X))) )],[refute_0_3014,refute_0_3017]) ).
cnf(refute_0_3019,plain,
multiply(X,add(Y,inverse(n1))) = pixley(Y,n1,X),
inference(subst,[],[refute_0_2863:[bind(X,$fot(Y)),bind(Z,$fot(X))]]) ).
cnf(refute_0_3020,plain,
( multiply(X,add(Y,inverse(n1))) != add(multiply(Y,X),inverse(n1))
| multiply(X,add(Y,inverse(n1))) != pixley(Y,n1,X)
| pixley(Y,n1,X) = add(multiply(Y,X),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,inverse(n1))),add(multiply(Y,X),inverse(n1))) ),[0],$fot(pixley(Y,n1,X))]]) ).
cnf(refute_0_3021,plain,
( multiply(X,add(Y,inverse(n1))) != add(multiply(Y,X),inverse(n1))
| pixley(Y,n1,X) = add(multiply(Y,X),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,inverse(n1))),pixley(Y,n1,X)) )],[refute_0_3019,refute_0_3020]) ).
cnf(refute_0_3022,plain,
pixley(Y,n1,X) = add(multiply(Y,X),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,inverse(n1))),add(multiply(Y,X),inverse(n1))) )],[refute_0_3018,refute_0_3021]) ).
cnf(refute_0_3023,plain,
pixley(Y,n1,X) = multiply(X,Y),
inference(subst,[],[refute_0_3008:[bind(X,$fot(Y)),bind(Z,$fot(X))]]) ).
cnf(refute_0_3024,plain,
( pixley(Y,n1,X) != multiply(X,Y)
| pixley(Y,n1,X) != add(multiply(Y,X),inverse(n1))
| multiply(X,Y) = add(multiply(Y,X),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(Y,n1,X),add(multiply(Y,X),inverse(n1))) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_3025,plain,
( pixley(Y,n1,X) != add(multiply(Y,X),inverse(n1))
| multiply(X,Y) = add(multiply(Y,X),inverse(n1)) ),
inference(resolve,[$cnf( $equal(pixley(Y,n1,X),multiply(X,Y)) )],[refute_0_3023,refute_0_3024]) ).
cnf(refute_0_3026,plain,
add(multiply(Y,X),inverse(n1)) = multiply(Y,X),
inference(subst,[],[refute_0_2985:[bind(X_268,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_3027,plain,
( multiply(X,Y) != add(multiply(Y,X),inverse(n1))
| add(multiply(Y,X),inverse(n1)) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(Y,X)) ),[0],$fot(add(multiply(Y,X),inverse(n1)))]]) ).
cnf(refute_0_3028,plain,
( multiply(X,Y) != add(multiply(Y,X),inverse(n1))
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),inverse(n1)),multiply(Y,X)) )],[refute_0_3026,refute_0_3027]) ).
cnf(refute_0_3029,plain,
( pixley(Y,n1,X) != add(multiply(Y,X),inverse(n1))
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(multiply(X,Y),add(multiply(Y,X),inverse(n1))) )],[refute_0_3025,refute_0_3028]) ).
cnf(refute_0_3030,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(pixley(Y,n1,X),add(multiply(Y,X),inverse(n1))) )],[refute_0_3022,refute_0_3029]) ).
cnf(refute_0_3031,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_3032,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_3030,refute_0_3031]) ).
cnf(refute_0_3033,plain,
multiply(add(X_310,inverse(X_308)),X_308) = multiply(X_308,add(X_310,inverse(X_308))),
inference(subst,[],[refute_0_3032:[bind(X,$fot(X_308)),bind(Y,$fot(add(X_310,inverse(X_308))))]]) ).
cnf(refute_0_3034,plain,
( multiply(X_308,add(X_310,inverse(X_308))) != multiply(X_308,X_310)
| multiply(add(X_310,inverse(X_308)),X_308) != multiply(X_308,add(X_310,inverse(X_308)))
| multiply(add(X_310,inverse(X_308)),X_308) = multiply(X_308,X_310) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_310,inverse(X_308)),X_308))),bind(Y0,$fot(multiply(X_308,add(X_310,inverse(X_308))))),bind(Z0,$fot(multiply(X_308,X_310)))]]) ).
cnf(refute_0_3035,plain,
( multiply(X_308,add(X_310,inverse(X_308))) != multiply(X_308,X_310)
| multiply(add(X_310,inverse(X_308)),X_308) = multiply(X_308,X_310) ),
inference(resolve,[$cnf( $equal(multiply(add(X_310,inverse(X_308)),X_308),multiply(X_308,add(X_310,inverse(X_308)))) )],[refute_0_3033,refute_0_3034]) ).
cnf(refute_0_3036,plain,
multiply(add(X_310,inverse(X_308)),X_308) = multiply(X_308,X_310),
inference(resolve,[$cnf( $equal(multiply(X_308,add(X_310,inverse(X_308))),multiply(X_308,X_310)) )],[refute_0_3013,refute_0_3035]) ).
cnf(refute_0_3037,plain,
add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),
introduced(tautology,[refl,[$fot(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)))]]) ).
cnf(refute_0_3038,plain,
( multiply(add(X_310,inverse(X_308)),X_308) != multiply(X_308,X_310)
| add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) != add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308))
| add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(multiply(X_308,X_310),inverse(X_308)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308))) ),[1,0],$fot(multiply(X_308,X_310))]]) ).
cnf(refute_0_3039,plain,
( multiply(add(X_310,inverse(X_308)),X_308) != multiply(X_308,X_310)
| add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(multiply(X_308,X_310),inverse(X_308)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308))) )],[refute_0_3037,refute_0_3038]) ).
cnf(refute_0_3040,plain,
add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) = add(multiply(X_308,X_310),inverse(X_308)),
inference(resolve,[$cnf( $equal(multiply(add(X_310,inverse(X_308)),X_308),multiply(X_308,X_310)) )],[refute_0_3036,refute_0_3039]) ).
cnf(refute_0_3041,plain,
( add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) != add(X_310,inverse(X_308))
| add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) != add(multiply(X_308,X_310),inverse(X_308))
| add(multiply(X_308,X_310),inverse(X_308)) = add(X_310,inverse(X_308)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),add(X_310,inverse(X_308))) ),[0],$fot(add(multiply(X_308,X_310),inverse(X_308)))]]) ).
cnf(refute_0_3042,plain,
( add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)) != add(X_310,inverse(X_308))
| add(multiply(X_308,X_310),inverse(X_308)) = add(X_310,inverse(X_308)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),add(multiply(X_308,X_310),inverse(X_308))) )],[refute_0_3040,refute_0_3041]) ).
cnf(refute_0_3043,plain,
add(multiply(X_308,X_310),inverse(X_308)) = add(X_310,inverse(X_308)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,inverse(X_308)),X_308),inverse(X_308)),add(X_310,inverse(X_308))) )],[refute_0_2717,refute_0_3042]) ).
cnf(refute_0_3044,plain,
add(multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)),inverse(multiply(X_371,inverse(X_370)))) = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))),
inference(subst,[],[refute_0_3043:[bind(X_308,$fot(multiply(X_371,inverse(X_370)))),bind(X_310,$fot(pixley(multiply(inverse(X_370),X_372),X_370,X_371)))]]) ).
cnf(refute_0_3045,plain,
multiply(inverse(X_274),X_276) = multiply(X_276,inverse(X_274)),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_276)),bind(X_58,$fot(inverse(X_274)))]]) ).
cnf(refute_0_3046,plain,
( multiply(inverse(X_274),X_276) != multiply(X_276,inverse(X_274))
| multiply(X_276,inverse(X_274)) = multiply(inverse(X_274),X_276) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_274),X_276))),bind(Y0,$fot(multiply(X_276,inverse(X_274))))]]) ).
cnf(refute_0_3047,plain,
multiply(X_276,inverse(X_274)) = multiply(inverse(X_274),X_276),
inference(resolve,[$cnf( $equal(multiply(inverse(X_274),X_276),multiply(X_276,inverse(X_274))) )],[refute_0_3045,refute_0_3046]) ).
cnf(refute_0_3048,plain,
( multiply(X_276,inverse(X_274)) != multiply(inverse(X_274),X_276)
| multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) != multiply(X_275,inverse(X_274))
| multiply(multiply(X_275,inverse(X_274)),pixley(multiply(inverse(X_274),X_276),X_274,X_275)) = multiply(X_275,inverse(X_274)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)),multiply(X_275,inverse(X_274))) ),[0,1,0],$fot(multiply(inverse(X_274),X_276))]]) ).
cnf(refute_0_3049,plain,
( multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)) != multiply(X_275,inverse(X_274))
| multiply(multiply(X_275,inverse(X_274)),pixley(multiply(inverse(X_274),X_276),X_274,X_275)) = multiply(X_275,inverse(X_274)) ),
inference(resolve,[$cnf( $equal(multiply(X_276,inverse(X_274)),multiply(inverse(X_274),X_276)) )],[refute_0_3047,refute_0_3048]) ).
cnf(refute_0_3050,plain,
multiply(multiply(X_275,inverse(X_274)),pixley(multiply(inverse(X_274),X_276),X_274,X_275)) = multiply(X_275,inverse(X_274)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_275,inverse(X_274)),pixley(multiply(X_276,inverse(X_274)),X_274,X_275)),multiply(X_275,inverse(X_274))) )],[refute_0_2428,refute_0_3049]) ).
cnf(refute_0_3051,plain,
multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)) = multiply(X_371,inverse(X_370)),
inference(subst,[],[refute_0_3050:[bind(X_274,$fot(X_370)),bind(X_275,$fot(X_371)),bind(X_276,$fot(X_372))]]) ).
cnf(refute_0_3052,plain,
( multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)) != multiply(X_371,inverse(X_370))
| add(multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)),inverse(multiply(X_371,inverse(X_370)))) != add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))
| add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)),inverse(multiply(X_371,inverse(X_370)))),add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))) ),[0,0],$fot(multiply(X_371,inverse(X_370)))]]) ).
cnf(refute_0_3053,plain,
( add(multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)),inverse(multiply(X_371,inverse(X_370)))) != add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))
| add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)),multiply(X_371,inverse(X_370))) )],[refute_0_3051,refute_0_3052]) ).
cnf(refute_0_3054,plain,
add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_371,inverse(X_370)),pixley(multiply(inverse(X_370),X_372),X_370,X_371)),inverse(multiply(X_371,inverse(X_370)))),add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))) )],[refute_0_3044,refute_0_3053]) ).
cnf(refute_0_3055,plain,
add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(multiply(X_371,inverse(X_370))))]]) ).
cnf(refute_0_3056,plain,
( add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) != add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))
| add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) != n1
| n1 = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))),add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))) ),[0],$fot(n1)]]) ).
cnf(refute_0_3057,plain,
( add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))) != add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))
| n1 = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))),n1) )],[refute_0_3055,refute_0_3056]) ).
cnf(refute_0_3058,plain,
n1 = add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370)))),
inference(resolve,[$cnf( $equal(add(multiply(X_371,inverse(X_370)),inverse(multiply(X_371,inverse(X_370)))),add(pixley(multiply(inverse(X_370),X_372),X_370,X_371),inverse(multiply(X_371,inverse(X_370))))) )],[refute_0_3054,refute_0_3057]) ).
cnf(refute_0_3059,plain,
n1 = add(pixley(multiply(inverse(X_373),add(X,inverse(X_373))),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))),
inference(subst,[],[refute_0_3058:[bind(X_370,$fot(X_373)),bind(X_371,$fot(X_374)),bind(X_372,$fot(add(X,inverse(X_373))))]]) ).
cnf(refute_0_3060,plain,
multiply(inverse(X_373),add(X,inverse(X_373))) = inverse(X_373),
inference(subst,[],[refute_0_1549:[bind(Y,$fot(inverse(X_373)))]]) ).
cnf(refute_0_3061,plain,
( multiply(inverse(X_373),add(X,inverse(X_373))) != inverse(X_373)
| n1 != add(pixley(multiply(inverse(X_373),add(X,inverse(X_373))),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))
| n1 = add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(multiply(inverse(X_373),add(X,inverse(X_373))),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))) ),[1,0,0],$fot(inverse(X_373))]]) ).
cnf(refute_0_3062,plain,
( n1 != add(pixley(multiply(inverse(X_373),add(X,inverse(X_373))),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))
| n1 = add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_373),add(X,inverse(X_373))),inverse(X_373)) )],[refute_0_3060,refute_0_3061]) ).
cnf(refute_0_3063,plain,
n1 = add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))),
inference(resolve,[$cnf( $equal(n1,add(pixley(multiply(inverse(X_373),add(X,inverse(X_373))),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))) )],[refute_0_3059,refute_0_3062]) ).
cnf(refute_0_3064,plain,
multiply(n1,inverse(Y)) = inverse(Y),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(inverse(Y)))]]) ).
cnf(refute_0_3065,plain,
multiply(inverse(Y),n1) = multiply(n1,inverse(Y)),
inference(subst,[],[refute_0_2178:[bind(Z,$fot(n1)),bind(X_243,$fot(Y))]]) ).
cnf(refute_0_3066,plain,
( multiply(inverse(Y),n1) != multiply(n1,inverse(Y))
| multiply(n1,inverse(Y)) != inverse(Y)
| multiply(inverse(Y),n1) = inverse(Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(Y),n1))),bind(Y0,$fot(multiply(n1,inverse(Y)))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_3067,plain,
( multiply(n1,inverse(Y)) != inverse(Y)
| multiply(inverse(Y),n1) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),n1),multiply(n1,inverse(Y))) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
multiply(inverse(Y),n1) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(Y)),inverse(Y)) )],[refute_0_3064,refute_0_3067]) ).
cnf(refute_0_3069,plain,
multiply(inverse(Y),add(n1,Z)) = multiply(inverse(Y),add(n1,Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(Y),add(n1,Z)))]]) ).
cnf(refute_0_3070,plain,
( multiply(inverse(Y),add(n1,Z)) != multiply(inverse(Y),add(n1,Z))
| add(n1,Z) != n1
| multiply(inverse(Y),add(n1,Z)) = multiply(inverse(Y),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),add(n1,Z)),multiply(inverse(Y),add(n1,Z))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_3071,plain,
( add(n1,Z) != n1
| multiply(inverse(Y),add(n1,Z)) = multiply(inverse(Y),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(n1,Z)),multiply(inverse(Y),add(n1,Z))) )],[refute_0_3069,refute_0_3070]) ).
cnf(refute_0_3072,plain,
multiply(inverse(Y),add(n1,Z)) = multiply(inverse(Y),n1),
inference(resolve,[$cnf( $equal(add(n1,Z),n1) )],[refute_0_2631,refute_0_3071]) ).
cnf(refute_0_3073,plain,
( multiply(inverse(Y),add(n1,Z)) != multiply(inverse(Y),n1)
| multiply(inverse(Y),n1) != inverse(Y)
| multiply(inverse(Y),add(n1,Z)) = inverse(Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(Y),add(n1,Z)))),bind(Y0,$fot(multiply(inverse(Y),n1))),bind(Z0,$fot(inverse(Y)))]]) ).
cnf(refute_0_3074,plain,
( multiply(inverse(Y),n1) != inverse(Y)
| multiply(inverse(Y),add(n1,Z)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(n1,Z)),multiply(inverse(Y),n1)) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
multiply(inverse(Y),add(n1,Z)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),n1),inverse(Y)) )],[refute_0_3068,refute_0_3074]) ).
cnf(refute_0_3076,plain,
( multiply(inverse(Y),add(n1,Z)) != inverse(Y)
| pixley(inverse(Y),Y,Z) != multiply(inverse(Y),add(n1,Z))
| pixley(inverse(Y),Y,Z) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),Y,Z),multiply(inverse(Y),add(n1,Z))) ),[1],$fot(inverse(Y))]]) ).
cnf(refute_0_3077,plain,
( pixley(inverse(Y),Y,Z) != multiply(inverse(Y),add(n1,Z))
| pixley(inverse(Y),Y,Z) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(n1,Z)),inverse(Y)) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
pixley(inverse(Y),Y,Z) = inverse(Y),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),Y,Z),multiply(inverse(Y),add(n1,Z))) )],[refute_0_2124,refute_0_3077]) ).
cnf(refute_0_3079,plain,
pixley(inverse(X_373),X_373,X_374) = inverse(X_373),
inference(subst,[],[refute_0_3078:[bind(Y,$fot(X_373)),bind(Z,$fot(X_374))]]) ).
cnf(refute_0_3080,plain,
add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) = add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))),
introduced(tautology,[refl,[$fot(add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))))]]) ).
cnf(refute_0_3081,plain,
( add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) != add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))
| pixley(inverse(X_373),X_373,X_374) != inverse(X_373)
| add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) = add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))),add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))) ),[1,0],$fot(inverse(X_373))]]) ).
cnf(refute_0_3082,plain,
( pixley(inverse(X_373),X_373,X_374) != inverse(X_373)
| add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) = add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))) ),
inference(resolve,[$cnf( $equal(add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))),add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))) )],[refute_0_3080,refute_0_3081]) ).
cnf(refute_0_3083,plain,
add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) = add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))),
inference(resolve,[$cnf( $equal(pixley(inverse(X_373),X_373,X_374),inverse(X_373)) )],[refute_0_3079,refute_0_3082]) ).
cnf(refute_0_3084,plain,
( add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))) != add(inverse(X_373),inverse(multiply(X_374,inverse(X_373))))
| n1 != add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))
| n1 = add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))) ),[1],$fot(add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))))]]) ).
cnf(refute_0_3085,plain,
( n1 != add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))
| n1 = add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))) ),
inference(resolve,[$cnf( $equal(add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373)))),add(inverse(X_373),inverse(multiply(X_374,inverse(X_373))))) )],[refute_0_3083,refute_0_3084]) ).
cnf(refute_0_3086,plain,
n1 = add(inverse(X_373),inverse(multiply(X_374,inverse(X_373)))),
inference(resolve,[$cnf( $equal(n1,add(pixley(inverse(X_373),X_373,X_374),inverse(multiply(X_374,inverse(X_373))))) )],[refute_0_3063,refute_0_3085]) ).
cnf(refute_0_3087,plain,
n1 = add(inverse(inverse(Y)),inverse(multiply(X_377,inverse(inverse(Y))))),
inference(subst,[],[refute_0_3086:[bind(X_373,$fot(inverse(Y))),bind(X_374,$fot(X_377))]]) ).
cnf(refute_0_3088,plain,
( inverse(inverse(Y)) != Y
| n1 != add(inverse(inverse(Y)),inverse(multiply(X_377,inverse(inverse(Y)))))
| n1 = add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(inverse(Y)),inverse(multiply(X_377,inverse(inverse(Y)))))) ),[1,1,0,1],$fot(Y)]]) ).
cnf(refute_0_3089,plain,
( n1 != add(inverse(inverse(Y)),inverse(multiply(X_377,inverse(inverse(Y)))))
| n1 = add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3088]) ).
cnf(refute_0_3090,plain,
n1 = add(inverse(inverse(Y)),inverse(multiply(X_377,Y))),
inference(resolve,[$cnf( $equal(n1,add(inverse(inverse(Y)),inverse(multiply(X_377,inverse(inverse(Y)))))) )],[refute_0_3087,refute_0_3089]) ).
cnf(refute_0_3091,plain,
add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) = add(inverse(inverse(Y)),inverse(multiply(X_377,Y))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(Y)),inverse(multiply(X_377,Y))))]]) ).
cnf(refute_0_3092,plain,
( add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) != add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))
| inverse(inverse(Y)) != Y
| add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) = add(Y,inverse(multiply(X_377,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(Y)),inverse(multiply(X_377,Y))),add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_3093,plain,
( inverse(inverse(Y)) != Y
| add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) = add(Y,inverse(multiply(X_377,Y))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(Y)),inverse(multiply(X_377,Y))),add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))) )],[refute_0_3091,refute_0_3092]) ).
cnf(refute_0_3094,plain,
add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) = add(Y,inverse(multiply(X_377,Y))),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3093]) ).
cnf(refute_0_3095,plain,
( add(inverse(inverse(Y)),inverse(multiply(X_377,Y))) != add(Y,inverse(multiply(X_377,Y)))
| n1 != add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))
| n1 = add(Y,inverse(multiply(X_377,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))) ),[1],$fot(add(Y,inverse(multiply(X_377,Y))))]]) ).
cnf(refute_0_3096,plain,
( n1 != add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))
| n1 = add(Y,inverse(multiply(X_377,Y))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(Y)),inverse(multiply(X_377,Y))),add(Y,inverse(multiply(X_377,Y)))) )],[refute_0_3094,refute_0_3095]) ).
cnf(refute_0_3097,plain,
n1 = add(Y,inverse(multiply(X_377,Y))),
inference(resolve,[$cnf( $equal(n1,add(inverse(inverse(Y)),inverse(multiply(X_377,Y)))) )],[refute_0_3090,refute_0_3096]) ).
cnf(refute_0_3098,plain,
n1 = add(X_10,inverse(multiply(X_379,X_10))),
inference(subst,[],[refute_0_3097:[bind(Y,$fot(X_10)),bind(X_377,$fot(X_379))]]) ).
cnf(refute_0_3099,plain,
( n1 != add(X_10,inverse(multiply(X_379,X_10)))
| add(X_10,inverse(multiply(X_379,X_10))) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(X_10,inverse(multiply(X_379,X_10)))))]]) ).
cnf(refute_0_3100,plain,
add(X_10,inverse(multiply(X_379,X_10))) = n1,
inference(resolve,[$cnf( $equal(n1,add(X_10,inverse(multiply(X_379,X_10)))) )],[refute_0_3098,refute_0_3099]) ).
cnf(refute_0_3101,plain,
( multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| add(X_10,inverse(multiply(X_379,X_10))) != n1
| multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_3102,plain,
( multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(X_379,X_10))),n1) )],[refute_0_3100,refute_0_3101]) ).
cnf(refute_0_3103,plain,
multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) )],[refute_0_2687,refute_0_3102]) ).
cnf(refute_0_3104,plain,
multiply(X_12,n1) = X_12,
inference(subst,[],[refute_0_1827:[bind(X_55,$fot(X_12))]]) ).
cnf(refute_0_3105,plain,
multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) = multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)))]]) ).
cnf(refute_0_3106,plain,
( multiply(X_12,n1) != X_12
| multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) != multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12))
| multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) = multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)),multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_3107,plain,
( multiply(X_12,n1) != X_12
| multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) = multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)),multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12))) )],[refute_0_3105,refute_0_3106]) ).
cnf(refute_0_3108,plain,
multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) = multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_12,n1),X_12) )],[refute_0_3104,refute_0_3107]) ).
cnf(refute_0_3109,plain,
multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(multiply(X_12,n1))),bind(Y,$fot(pixley(X_10,multiply(X_379,X_10),X_12)))]]) ).
cnf(refute_0_3110,plain,
( multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) != multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12))
| multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) != multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12))
| multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)))),bind(Y0,$fot(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)))),bind(Z0,$fot(multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12))))]]) ).
cnf(refute_0_3111,plain,
( multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)) != multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12))
| multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)),multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12))) )],[refute_0_3109,refute_0_3110]) ).
cnf(refute_0_3112,plain,
multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) = multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_379,X_10),X_12)),multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12))) )],[refute_0_3108,refute_0_3111]) ).
cnf(refute_0_3113,plain,
( multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) != multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12))
| multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) ),[0],$fot(multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)))]]) ).
cnf(refute_0_3114,plain,
( multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)),multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12))) )],[refute_0_3112,refute_0_3113]) ).
cnf(refute_0_3115,plain,
multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))))]]) ).
cnf(refute_0_3116,plain,
( multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| add(X_10,inverse(multiply(X_379,X_10))) != n1
| multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_3117,plain,
( add(X_10,inverse(multiply(X_379,X_10))) != n1
| multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) )],[refute_0_3115,refute_0_3116]) ).
cnf(refute_0_3118,plain,
multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(X_379,X_10))),n1) )],[refute_0_3100,refute_0_3117]) ).
cnf(refute_0_3119,plain,
( multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) != multiply(X_12,n1)
| multiply(X_12,n1) != X_12
| multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = X_12 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))))),bind(Y0,$fot(multiply(X_12,n1))),bind(Z0,$fot(X_12))]]) ).
cnf(refute_0_3120,plain,
( multiply(X_12,n1) != X_12
| multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),multiply(X_12,n1)) )],[refute_0_3118,refute_0_3119]) ).
cnf(refute_0_3121,plain,
multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_12,n1),X_12) )],[refute_0_3104,refute_0_3120]) ).
cnf(refute_0_3122,plain,
( multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))) != X_12
| multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) ),[1],$fot(X_12)]]) ).
cnf(refute_0_3123,plain,
( multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_379,X_10)))),X_12) )],[refute_0_3121,refute_0_3122]) ).
cnf(refute_0_3124,plain,
( multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)) != multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))
| multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) )],[refute_0_3114,refute_0_3123]) ).
cnf(refute_0_3125,plain,
multiply(X_12,pixley(X_10,multiply(X_379,X_10),X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_379,X_10),X_12),multiply(X_12,n1)),multiply(X_12,add(X_10,inverse(multiply(X_379,X_10))))) )],[refute_0_3103,refute_0_3124]) ).
cnf(refute_0_3126,plain,
multiply(inverse(X_10),pixley(X_10,multiply(X_379,X_10),inverse(X_10))) = inverse(X_10),
inference(subst,[],[refute_0_3125:[bind(X_12,$fot(inverse(X_10)))]]) ).
cnf(refute_0_3127,plain,
pixley(X,inverse(X_793),inverse(X_793)) = X,
inference(subst,[],[pixley2:[bind(Y,$fot(inverse(X_793)))]]) ).
cnf(refute_0_3128,plain,
pixley(X,inverse(X_262),inverse(X_786)) = add(multiply(X,X_262),multiply(inverse(X_786),add(X,X_262))),
inference(subst,[],[refute_0_2222:[bind(Z,$fot(inverse(X_786)))]]) ).
cnf(refute_0_3129,plain,
pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,add(multiply(X_82,inverse(Y)),inverse(Y)))),
inference(subst,[],[refute_0_12:[bind(X,$fot(multiply(X_82,inverse(Y))))]]) ).
cnf(refute_0_3130,plain,
multiply(inverse(Y),add(X_82,n1)) = add(multiply(X_82,inverse(Y)),inverse(Y)),
inference(subst,[],[refute_0_60:[bind(X,$fot(Y)),bind(X_22,$fot(X_82))]]) ).
cnf(refute_0_3131,plain,
( multiply(inverse(Y),add(X_82,n1)) != add(multiply(X_82,inverse(Y)),inverse(Y))
| add(multiply(X_82,inverse(Y)),inverse(Y)) = multiply(inverse(Y),add(X_82,n1)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(Y),add(X_82,n1)))),bind(Y0,$fot(add(multiply(X_82,inverse(Y)),inverse(Y))))]]) ).
cnf(refute_0_3132,plain,
add(multiply(X_82,inverse(Y)),inverse(Y)) = multiply(inverse(Y),add(X_82,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(X_82,n1)),add(multiply(X_82,inverse(Y)),inverse(Y))) )],[refute_0_3130,refute_0_3131]) ).
cnf(refute_0_3133,plain,
( add(multiply(X_82,inverse(Y)),inverse(Y)) != multiply(inverse(Y),add(X_82,n1))
| pixley(multiply(X_82,inverse(Y)),Y,Z) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,add(multiply(X_82,inverse(Y)),inverse(Y))))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,add(multiply(X_82,inverse(Y)),inverse(Y))))) ),[1,1,1],$fot(multiply(inverse(Y),add(X_82,n1)))]]) ).
cnf(refute_0_3134,plain,
( pixley(multiply(X_82,inverse(Y)),Y,Z) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,add(multiply(X_82,inverse(Y)),inverse(Y))))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_82,inverse(Y)),inverse(Y)),multiply(inverse(Y),add(X_82,n1))) )],[refute_0_3132,refute_0_3133]) ).
cnf(refute_0_3135,plain,
pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,add(multiply(X_82,inverse(Y)),inverse(Y))))) )],[refute_0_3129,refute_0_3134]) ).
cnf(refute_0_3136,plain,
multiply(inverse(Y),add(X_82,n1)) = multiply(inverse(Y),n1),
inference(subst,[],[refute_0_1156:[bind(X,$fot(X_82)),bind(X_54,$fot(Y))]]) ).
cnf(refute_0_3137,plain,
multiply(Z,multiply(inverse(Y),add(X_82,n1))) = multiply(Z,multiply(inverse(Y),add(X_82,n1))),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(inverse(Y),add(X_82,n1))))]]) ).
cnf(refute_0_3138,plain,
( multiply(Z,multiply(inverse(Y),add(X_82,n1))) != multiply(Z,multiply(inverse(Y),add(X_82,n1)))
| multiply(inverse(Y),add(X_82,n1)) != multiply(inverse(Y),n1)
| multiply(Z,multiply(inverse(Y),add(X_82,n1))) = multiply(Z,multiply(inverse(Y),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(inverse(Y),add(X_82,n1))),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) ),[1,1],$fot(multiply(inverse(Y),n1))]]) ).
cnf(refute_0_3139,plain,
( multiply(inverse(Y),add(X_82,n1)) != multiply(inverse(Y),n1)
| multiply(Z,multiply(inverse(Y),add(X_82,n1))) = multiply(Z,multiply(inverse(Y),n1)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(Y),add(X_82,n1))),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) )],[refute_0_3137,refute_0_3138]) ).
cnf(refute_0_3140,plain,
multiply(Z,multiply(inverse(Y),add(X_82,n1))) = multiply(Z,multiply(inverse(Y),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(X_82,n1)),multiply(inverse(Y),n1)) )],[refute_0_3136,refute_0_3139]) ).
cnf(refute_0_3141,plain,
add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))),
introduced(tautology,[refl,[$fot(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))))]]) ).
cnf(refute_0_3142,plain,
( multiply(Z,multiply(inverse(Y),add(X_82,n1))) != multiply(Z,multiply(inverse(Y),n1))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))) ),[1,1],$fot(multiply(Z,multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_3143,plain,
( multiply(Z,multiply(inverse(Y),add(X_82,n1))) != multiply(Z,multiply(inverse(Y),n1))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))) )],[refute_0_3141,refute_0_3142]) ).
cnf(refute_0_3144,plain,
add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(Y),add(X_82,n1))),multiply(Z,multiply(inverse(Y),n1))) )],[refute_0_3140,refute_0_3143]) ).
cnf(refute_0_3145,plain,
( add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| pixley(multiply(X_82,inverse(Y)),Y,Z) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))) ),[1],$fot(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))))]]) ).
cnf(refute_0_3146,plain,
( pixley(multiply(X_82,inverse(Y)),Y,Z) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1)))),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) )],[refute_0_3144,refute_0_3145]) ).
cnf(refute_0_3147,plain,
pixley(multiply(X_82,inverse(Y)),Y,Z) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),add(X_82,n1))))) )],[refute_0_3135,refute_0_3146]) ).
cnf(refute_0_3148,plain,
add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(Y))),bind(Y,$fot(multiply(X_82,inverse(Y))))]]) ).
cnf(refute_0_3149,plain,
multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,multiply(inverse(Y),n1)),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_3150,plain,
( multiply(Z,multiply(inverse(Y),n1)) != multiply(Z,multiply(inverse(Y),n1))
| multiply(inverse(Y),n1) != inverse(Y)
| multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(inverse(Y),n1)),multiply(Z,multiply(inverse(Y),n1))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_3151,plain,
( multiply(inverse(Y),n1) != inverse(Y)
| multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(Y),n1)),multiply(Z,multiply(inverse(Y),n1))) )],[refute_0_3149,refute_0_3150]) ).
cnf(refute_0_3152,plain,
multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),n1),inverse(Y)) )],[refute_0_3068,refute_0_3151]) ).
cnf(refute_0_3153,plain,
add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),
introduced(tautology,[refl,[$fot(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))))]]) ).
cnf(refute_0_3154,plain,
( multiply(Z,multiply(inverse(Y),n1)) != multiply(Z,inverse(Y))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) ),[1,1],$fot(multiply(Z,inverse(Y)))]]) ).
cnf(refute_0_3155,plain,
( multiply(Z,multiply(inverse(Y),n1)) != multiply(Z,inverse(Y))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) )],[refute_0_3153,refute_0_3154]) ).
cnf(refute_0_3156,plain,
add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(Y),n1)),multiply(Z,inverse(Y))) )],[refute_0_3152,refute_0_3155]) ).
cnf(refute_0_3157,plain,
( add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))))),bind(Y0,$fot(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))))),bind(Z0,$fot(multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))))]]) ).
cnf(refute_0_3158,plain,
( add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))
| add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))) )],[refute_0_3156,refute_0_3157]) ).
cnf(refute_0_3159,plain,
add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))),multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))) )],[refute_0_3148,refute_0_3158]) ).
cnf(refute_0_3160,plain,
( add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) != multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))
| pixley(multiply(X_82,inverse(Y)),Y,Z) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) ),[1],$fot(multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)))]]) ).
cnf(refute_0_3161,plain,
( pixley(multiply(X_82,inverse(Y)),Y,Z) != add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))) )],[refute_0_3159,refute_0_3160]) ).
cnf(refute_0_3162,plain,
pixley(multiply(X_82,inverse(Y)),Y,Z) = multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),add(multiply(multiply(X_82,inverse(Y)),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) )],[refute_0_3147,refute_0_3161]) ).
cnf(refute_0_3163,plain,
pixley(multiply(X_332,inverse(X_331)),X_331,add(add(X,inverse(inverse(X_331))),inverse(X_331))) = inverse(X_331),
inference(subst,[],[refute_0_2355:[bind(X_109,$fot(add(X,inverse(inverse(X_331))))),bind(X_111,$fot(X_331)),bind(X_22,$fot(X_332))]]) ).
cnf(refute_0_3164,plain,
add(multiply(inverse(Y),X_312),inverse(inverse(Y))) = add(X_312,inverse(inverse(Y))),
inference(subst,[],[refute_0_3043:[bind(X_308,$fot(inverse(Y))),bind(X_310,$fot(X_312))]]) ).
cnf(refute_0_3165,plain,
( add(multiply(inverse(Y),X_312),inverse(inverse(Y))) != add(X_312,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| add(multiply(inverse(Y),X_312),Y) = add(X_312,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(Y),X_312),inverse(inverse(Y))),add(X_312,inverse(inverse(Y)))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_3166,plain,
( add(multiply(inverse(Y),X_312),inverse(inverse(Y))) != add(X_312,inverse(inverse(Y)))
| add(multiply(inverse(Y),X_312),Y) = add(X_312,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3165]) ).
cnf(refute_0_3167,plain,
add(multiply(inverse(Y),X_312),Y) = add(X_312,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),X_312),inverse(inverse(Y))),add(X_312,inverse(inverse(Y)))) )],[refute_0_3164,refute_0_3166]) ).
cnf(refute_0_3168,plain,
add(X_312,inverse(inverse(Y))) = add(X_312,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(add(X_312,inverse(inverse(Y))))]]) ).
cnf(refute_0_3169,plain,
( add(X_312,inverse(inverse(Y))) != add(X_312,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| add(X_312,inverse(inverse(Y))) = add(X_312,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_312,inverse(inverse(Y))),add(X_312,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_3170,plain,
( inverse(inverse(Y)) != Y
| add(X_312,inverse(inverse(Y))) = add(X_312,Y) ),
inference(resolve,[$cnf( $equal(add(X_312,inverse(inverse(Y))),add(X_312,inverse(inverse(Y)))) )],[refute_0_3168,refute_0_3169]) ).
cnf(refute_0_3171,plain,
add(X_312,inverse(inverse(Y))) = add(X_312,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3170]) ).
cnf(refute_0_3172,plain,
( add(X_312,inverse(inverse(Y))) != add(X_312,Y)
| add(multiply(inverse(Y),X_312),Y) != add(X_312,inverse(inverse(Y)))
| add(multiply(inverse(Y),X_312),Y) = add(X_312,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(Y),X_312),Y),add(X_312,inverse(inverse(Y)))) ),[1],$fot(add(X_312,Y))]]) ).
cnf(refute_0_3173,plain,
( add(multiply(inverse(Y),X_312),Y) != add(X_312,inverse(inverse(Y)))
| add(multiply(inverse(Y),X_312),Y) = add(X_312,Y) ),
inference(resolve,[$cnf( $equal(add(X_312,inverse(inverse(Y))),add(X_312,Y)) )],[refute_0_3171,refute_0_3172]) ).
cnf(refute_0_3174,plain,
add(multiply(inverse(Y),X_312),Y) = add(X_312,Y),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),X_312),Y),add(X_312,inverse(inverse(Y)))) )],[refute_0_3167,refute_0_3173]) ).
cnf(refute_0_3175,plain,
add(multiply(inverse(X_313),add(X,inverse(X_313))),X_313) = add(add(X,inverse(X_313)),X_313),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_313)),bind(X_312,$fot(add(X,inverse(X_313))))]]) ).
cnf(refute_0_3176,plain,
multiply(inverse(X_313),add(X,inverse(X_313))) = inverse(X_313),
inference(subst,[],[refute_0_1549:[bind(Y,$fot(inverse(X_313)))]]) ).
cnf(refute_0_3177,plain,
( multiply(inverse(X_313),add(X,inverse(X_313))) != inverse(X_313)
| add(multiply(inverse(X_313),add(X,inverse(X_313))),X_313) != add(add(X,inverse(X_313)),X_313)
| add(inverse(X_313),X_313) = add(add(X,inverse(X_313)),X_313) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_313),add(X,inverse(X_313))),X_313),add(add(X,inverse(X_313)),X_313)) ),[0,0],$fot(inverse(X_313))]]) ).
cnf(refute_0_3178,plain,
( add(multiply(inverse(X_313),add(X,inverse(X_313))),X_313) != add(add(X,inverse(X_313)),X_313)
| add(inverse(X_313),X_313) = add(add(X,inverse(X_313)),X_313) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_313),add(X,inverse(X_313))),inverse(X_313)) )],[refute_0_3176,refute_0_3177]) ).
cnf(refute_0_3179,plain,
add(inverse(X_313),X_313) = add(add(X,inverse(X_313)),X_313),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_313),add(X,inverse(X_313))),X_313),add(add(X,inverse(X_313)),X_313)) )],[refute_0_3175,refute_0_3178]) ).
cnf(refute_0_3180,plain,
add(inverse(X_262),inverse(inverse(X_262))) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(inverse(X_262)))]]) ).
cnf(refute_0_3181,plain,
( add(inverse(X_262),inverse(inverse(X_262))) != n1
| inverse(inverse(X_262)) != X_262
| add(inverse(X_262),X_262) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_262),inverse(inverse(X_262))),n1) ),[0,1],$fot(X_262)]]) ).
cnf(refute_0_3182,plain,
( add(inverse(X_262),inverse(inverse(X_262))) != n1
| add(inverse(X_262),X_262) = n1 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_262)),X_262) )],[refute_0_2204,refute_0_3181]) ).
cnf(refute_0_3183,plain,
add(inverse(X_262),X_262) = n1,
inference(resolve,[$cnf( $equal(add(inverse(X_262),inverse(inverse(X_262))),n1) )],[refute_0_3180,refute_0_3182]) ).
cnf(refute_0_3184,plain,
add(inverse(X_313),X_313) = n1,
inference(subst,[],[refute_0_3183:[bind(X_262,$fot(X_313))]]) ).
cnf(refute_0_3185,plain,
( add(inverse(X_313),X_313) != add(add(X,inverse(X_313)),X_313)
| add(inverse(X_313),X_313) != n1
| n1 = add(add(X,inverse(X_313)),X_313) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_313),X_313),add(add(X,inverse(X_313)),X_313)) ),[0],$fot(n1)]]) ).
cnf(refute_0_3186,plain,
( add(inverse(X_313),X_313) != add(add(X,inverse(X_313)),X_313)
| n1 = add(add(X,inverse(X_313)),X_313) ),
inference(resolve,[$cnf( $equal(add(inverse(X_313),X_313),n1) )],[refute_0_3184,refute_0_3185]) ).
cnf(refute_0_3187,plain,
n1 = add(add(X,inverse(X_313)),X_313),
inference(resolve,[$cnf( $equal(add(inverse(X_313),X_313),add(add(X,inverse(X_313)),X_313)) )],[refute_0_3179,refute_0_3186]) ).
cnf(refute_0_3188,plain,
n1 = add(add(X,inverse(inverse(X_331))),inverse(X_331)),
inference(subst,[],[refute_0_3187:[bind(X_313,$fot(inverse(X_331)))]]) ).
cnf(refute_0_3189,plain,
( n1 != add(add(X,inverse(inverse(X_331))),inverse(X_331))
| add(add(X,inverse(inverse(X_331))),inverse(X_331)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(add(X,inverse(inverse(X_331))),inverse(X_331))))]]) ).
cnf(refute_0_3190,plain,
add(add(X,inverse(inverse(X_331))),inverse(X_331)) = n1,
inference(resolve,[$cnf( $equal(n1,add(add(X,inverse(inverse(X_331))),inverse(X_331))) )],[refute_0_3188,refute_0_3189]) ).
cnf(refute_0_3191,plain,
( add(add(X,inverse(inverse(X_331))),inverse(X_331)) != n1
| pixley(multiply(X_332,inverse(X_331)),X_331,add(add(X,inverse(inverse(X_331))),inverse(X_331))) != inverse(X_331)
| pixley(multiply(X_332,inverse(X_331)),X_331,n1) = inverse(X_331) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_332,inverse(X_331)),X_331,add(add(X,inverse(inverse(X_331))),inverse(X_331))),inverse(X_331)) ),[0,2],$fot(n1)]]) ).
cnf(refute_0_3192,plain,
( pixley(multiply(X_332,inverse(X_331)),X_331,add(add(X,inverse(inverse(X_331))),inverse(X_331))) != inverse(X_331)
| pixley(multiply(X_332,inverse(X_331)),X_331,n1) = inverse(X_331) ),
inference(resolve,[$cnf( $equal(add(add(X,inverse(inverse(X_331))),inverse(X_331)),n1) )],[refute_0_3190,refute_0_3191]) ).
cnf(refute_0_3193,plain,
pixley(multiply(X_332,inverse(X_331)),X_331,n1) = inverse(X_331),
inference(resolve,[$cnf( $equal(pixley(multiply(X_332,inverse(X_331)),X_331,add(add(X,inverse(inverse(X_331))),inverse(X_331))),inverse(X_331)) )],[refute_0_3163,refute_0_3192]) ).
cnf(refute_0_3194,plain,
pixley(multiply(X_334,inverse(inverse(Y))),inverse(Y),n1) = inverse(inverse(Y)),
inference(subst,[],[refute_0_3193:[bind(X_331,$fot(inverse(Y))),bind(X_332,$fot(X_334))]]) ).
cnf(refute_0_3195,plain,
( inverse(inverse(Y)) != Y
| pixley(multiply(X_334,inverse(inverse(Y))),inverse(Y),n1) != inverse(inverse(Y))
| pixley(multiply(X_334,Y),inverse(Y),n1) = inverse(inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_334,inverse(inverse(Y))),inverse(Y),n1),inverse(inverse(Y))) ),[0,0,1],$fot(Y)]]) ).
cnf(refute_0_3196,plain,
( pixley(multiply(X_334,inverse(inverse(Y))),inverse(Y),n1) != inverse(inverse(Y))
| pixley(multiply(X_334,Y),inverse(Y),n1) = inverse(inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3195]) ).
cnf(refute_0_3197,plain,
pixley(multiply(X_334,Y),inverse(Y),n1) = inverse(inverse(Y)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_334,inverse(inverse(Y))),inverse(Y),n1),inverse(inverse(Y))) )],[refute_0_3194,refute_0_3196]) ).
cnf(refute_0_3198,plain,
( inverse(inverse(Y)) != Y
| pixley(multiply(X_334,Y),inverse(Y),n1) != inverse(inverse(Y))
| pixley(multiply(X_334,Y),inverse(Y),n1) = Y ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_334,Y),inverse(Y),n1),inverse(inverse(Y))) ),[1],$fot(Y)]]) ).
cnf(refute_0_3199,plain,
( pixley(multiply(X_334,Y),inverse(Y),n1) != inverse(inverse(Y))
| pixley(multiply(X_334,Y),inverse(Y),n1) = Y ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3198]) ).
cnf(refute_0_3200,plain,
pixley(multiply(X_334,Y),inverse(Y),n1) = Y,
inference(resolve,[$cnf( $equal(pixley(multiply(X_334,Y),inverse(Y),n1),inverse(inverse(Y))) )],[refute_0_3197,refute_0_3199]) ).
cnf(refute_0_3201,plain,
pixley(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1) = pixley(multiply(X_279,Y),inverse(Y),X_278),
inference(subst,[],[refute_0_3200:[bind(Y,$fot(pixley(multiply(X_279,Y),inverse(Y),X_278))),bind(X_334,$fot(multiply(Y,X_278)))]]) ).
cnf(refute_0_3202,plain,
( multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)) != multiply(X_278,Y)
| pixley(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1) != pixley(multiply(X_279,Y),inverse(Y),X_278)
| pixley(multiply(X_278,Y),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1) = pixley(multiply(X_279,Y),inverse(Y),X_278) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1),pixley(multiply(X_279,Y),inverse(Y),X_278)) ),[0,0],$fot(multiply(X_278,Y))]]) ).
cnf(refute_0_3203,plain,
( pixley(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1) != pixley(multiply(X_279,Y),inverse(Y),X_278)
| pixley(multiply(X_278,Y),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1) = pixley(multiply(X_279,Y),inverse(Y),X_278) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),multiply(X_278,Y)) )],[refute_0_2456,refute_0_3202]) ).
cnf(refute_0_3204,plain,
pixley(multiply(X_278,Y),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1) = pixley(multiply(X_279,Y),inverse(Y),X_278),
inference(resolve,[$cnf( $equal(pixley(multiply(multiply(Y,X_278),pixley(multiply(X_279,Y),inverse(Y),X_278)),inverse(pixley(multiply(X_279,Y),inverse(Y),X_278)),n1),pixley(multiply(X_279,Y),inverse(Y),X_278)) )],[refute_0_3201,refute_0_3203]) ).
cnf(refute_0_3205,plain,
pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_401,X_399),inverse(X_399),X_400)),n1) = pixley(multiply(X_401,X_399),inverse(X_399),X_400),
inference(subst,[],[refute_0_3204:[bind(Y,$fot(X_399)),bind(X_278,$fot(X_400)),bind(X_279,$fot(X_401))]]) ).
cnf(refute_0_3206,plain,
multiply(X_399,X_401) = multiply(X_401,X_399),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_401)),bind(X_58,$fot(X_399))]]) ).
cnf(refute_0_3207,plain,
( multiply(X_399,X_401) != multiply(X_401,X_399)
| multiply(X_401,X_399) = multiply(X_399,X_401) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_399,X_401))),bind(Y0,$fot(multiply(X_401,X_399)))]]) ).
cnf(refute_0_3208,plain,
multiply(X_401,X_399) = multiply(X_399,X_401),
inference(resolve,[$cnf( $equal(multiply(X_399,X_401),multiply(X_401,X_399)) )],[refute_0_3206,refute_0_3207]) ).
cnf(refute_0_3209,plain,
( multiply(X_401,X_399) != multiply(X_399,X_401)
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_401,X_399),inverse(X_399),X_400)),n1) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_401,X_399),inverse(X_399),X_400) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_401,X_399),inverse(X_399),X_400)),n1),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) ),[0,1,0,0],$fot(multiply(X_399,X_401))]]) ).
cnf(refute_0_3210,plain,
( pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_401,X_399),inverse(X_399),X_400)),n1) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_401,X_399),inverse(X_399),X_400) ),
inference(resolve,[$cnf( $equal(multiply(X_401,X_399),multiply(X_399,X_401)) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_401,X_399),inverse(X_399),X_400),
inference(resolve,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_401,X_399),inverse(X_399),X_400)),n1),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) )],[refute_0_3205,refute_0_3210]) ).
cnf(refute_0_3212,plain,
pixley(multiply(X_336,add(X,X_336)),inverse(add(X,X_336)),n1) = add(X,X_336),
inference(subst,[],[refute_0_3200:[bind(Y,$fot(add(X,X_336))),bind(X_334,$fot(X_336))]]) ).
cnf(refute_0_3213,plain,
multiply(X_336,add(X,X_336)) = X_336,
inference(subst,[],[refute_0_1549:[bind(Y,$fot(X_336))]]) ).
cnf(refute_0_3214,plain,
( multiply(X_336,add(X,X_336)) != X_336
| pixley(multiply(X_336,add(X,X_336)),inverse(add(X,X_336)),n1) != add(X,X_336)
| pixley(X_336,inverse(add(X,X_336)),n1) = add(X,X_336) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_336,add(X,X_336)),inverse(add(X,X_336)),n1),add(X,X_336)) ),[0,0],$fot(X_336)]]) ).
cnf(refute_0_3215,plain,
( pixley(multiply(X_336,add(X,X_336)),inverse(add(X,X_336)),n1) != add(X,X_336)
| pixley(X_336,inverse(add(X,X_336)),n1) = add(X,X_336) ),
inference(resolve,[$cnf( $equal(multiply(X_336,add(X,X_336)),X_336) )],[refute_0_3213,refute_0_3214]) ).
cnf(refute_0_3216,plain,
pixley(X_336,inverse(add(X,X_336)),n1) = add(X,X_336),
inference(resolve,[$cnf( $equal(pixley(multiply(X_336,add(X,X_336)),inverse(add(X,X_336)),n1),add(X,X_336)) )],[refute_0_3212,refute_0_3215]) ).
cnf(refute_0_3217,plain,
pixley(multiply(Z,X),inverse(add(multiply(Y,X),multiply(Z,X))),n1) = add(multiply(Y,X),multiply(Z,X)),
inference(subst,[],[refute_0_3216:[bind(X,$fot(multiply(Y,X))),bind(X_336,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_3218,plain,
( add(multiply(Y,X),multiply(Z,X)) != multiply(X,add(Y,Z))
| pixley(multiply(Z,X),inverse(add(multiply(Y,X),multiply(Z,X))),n1) != add(multiply(Y,X),multiply(Z,X))
| pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) = add(multiply(Y,X),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(Z,X),inverse(add(multiply(Y,X),multiply(Z,X))),n1),add(multiply(Y,X),multiply(Z,X))) ),[0,1,0],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_3219,plain,
( pixley(multiply(Z,X),inverse(add(multiply(Y,X),multiply(Z,X))),n1) != add(multiply(Y,X),multiply(Z,X))
| pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) = add(multiply(Y,X),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Z,X)),multiply(X,add(Y,Z))) )],[refute_0_4,refute_0_3218]) ).
cnf(refute_0_3220,plain,
pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) = add(multiply(Y,X),multiply(Z,X)),
inference(resolve,[$cnf( $equal(pixley(multiply(Z,X),inverse(add(multiply(Y,X),multiply(Z,X))),n1),add(multiply(Y,X),multiply(Z,X))) )],[refute_0_3217,refute_0_3219]) ).
cnf(refute_0_3221,plain,
( add(multiply(Y,X),multiply(Z,X)) != multiply(X,add(Y,Z))
| pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) != add(multiply(Y,X),multiply(Z,X))
| pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) = multiply(X,add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1),add(multiply(Y,X),multiply(Z,X))) ),[1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_3222,plain,
( pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) != add(multiply(Y,X),multiply(Z,X))
| pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) = multiply(X,add(Y,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Z,X)),multiply(X,add(Y,Z))) )],[refute_0_4,refute_0_3221]) ).
cnf(refute_0_3223,plain,
pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(Z,X),inverse(multiply(X,add(Y,Z))),n1),add(multiply(Y,X),multiply(Z,X))) )],[refute_0_3220,refute_0_3222]) ).
cnf(refute_0_3224,plain,
pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1) = multiply(X_399,add(multiply(X_399,X_401),X_400)),
inference(subst,[],[refute_0_3223:[bind(X,$fot(X_399)),bind(Y,$fot(multiply(X_399,X_401))),bind(Z,$fot(X_400))]]) ).
cnf(refute_0_3225,plain,
pixley(multiply(X_591,Y),inverse(X_591),X_590) = add(multiply(multiply(X_591,Y),X_591),multiply(X_590,add(multiply(X_591,Y),X_591))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(multiply(X_591,Y))),bind(Z,$fot(X_590)),bind(X_262,$fot(X_591))]]) ).
cnf(refute_0_3226,plain,
pixley(add(X_302,X_302),X_301,X_302) = add(multiply(add(X_302,X_302),inverse(X_301)),X_302),
inference(subst,[],[refute_0_2709:[bind(Y,$fot(X_301)),bind(Z,$fot(X_302)),bind(X_37,$fot(X_302))]]) ).
cnf(refute_0_3227,plain,
X_302 = add(X_302,X_302),
inference(subst,[],[refute_0_1528:[bind(Z,$fot(X_302))]]) ).
cnf(refute_0_3228,plain,
( X_302 != add(X_302,X_302)
| add(X_302,X_302) = X_302 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_302)),bind(Y0,$fot(add(X_302,X_302)))]]) ).
cnf(refute_0_3229,plain,
add(X_302,X_302) = X_302,
inference(resolve,[$cnf( $equal(X_302,add(X_302,X_302)) )],[refute_0_3227,refute_0_3228]) ).
cnf(refute_0_3230,plain,
( add(X_302,X_302) != X_302
| pixley(add(X_302,X_302),X_301,X_302) != add(multiply(add(X_302,X_302),inverse(X_301)),X_302)
| pixley(add(X_302,X_302),X_301,X_302) = add(multiply(X_302,inverse(X_301)),X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),add(multiply(add(X_302,X_302),inverse(X_301)),X_302)) ),[1,0,0],$fot(X_302)]]) ).
cnf(refute_0_3231,plain,
( pixley(add(X_302,X_302),X_301,X_302) != add(multiply(add(X_302,X_302),inverse(X_301)),X_302)
| pixley(add(X_302,X_302),X_301,X_302) = add(multiply(X_302,inverse(X_301)),X_302) ),
inference(resolve,[$cnf( $equal(add(X_302,X_302),X_302) )],[refute_0_3229,refute_0_3230]) ).
cnf(refute_0_3232,plain,
pixley(add(X_302,X_302),X_301,X_302) = add(multiply(X_302,inverse(X_301)),X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),add(multiply(add(X_302,X_302),inverse(X_301)),X_302)) )],[refute_0_3226,refute_0_3231]) ).
cnf(refute_0_3233,plain,
pixley(X_302,X_301,X_302) = X_302,
inference(subst,[],[pixley3:[bind(X,$fot(X_302)),bind(Y,$fot(X_301))]]) ).
cnf(refute_0_3234,plain,
pixley(add(X_302,X_302),X_301,X_302) = pixley(add(X_302,X_302),X_301,X_302),
introduced(tautology,[refl,[$fot(pixley(add(X_302,X_302),X_301,X_302))]]) ).
cnf(refute_0_3235,plain,
( add(X_302,X_302) != X_302
| pixley(add(X_302,X_302),X_301,X_302) != pixley(add(X_302,X_302),X_301,X_302)
| pixley(add(X_302,X_302),X_301,X_302) = pixley(X_302,X_301,X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),pixley(add(X_302,X_302),X_301,X_302)) ),[1,0],$fot(X_302)]]) ).
cnf(refute_0_3236,plain,
( add(X_302,X_302) != X_302
| pixley(add(X_302,X_302),X_301,X_302) = pixley(X_302,X_301,X_302) ),
inference(resolve,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),pixley(add(X_302,X_302),X_301,X_302)) )],[refute_0_3234,refute_0_3235]) ).
cnf(refute_0_3237,plain,
pixley(add(X_302,X_302),X_301,X_302) = pixley(X_302,X_301,X_302),
inference(resolve,[$cnf( $equal(add(X_302,X_302),X_302) )],[refute_0_3229,refute_0_3236]) ).
cnf(refute_0_3238,plain,
( pixley(X_302,X_301,X_302) != X_302
| pixley(add(X_302,X_302),X_301,X_302) != pixley(X_302,X_301,X_302)
| pixley(add(X_302,X_302),X_301,X_302) = X_302 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_302,X_302),X_301,X_302))),bind(Y0,$fot(pixley(X_302,X_301,X_302))),bind(Z0,$fot(X_302))]]) ).
cnf(refute_0_3239,plain,
( pixley(X_302,X_301,X_302) != X_302
| pixley(add(X_302,X_302),X_301,X_302) = X_302 ),
inference(resolve,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),pixley(X_302,X_301,X_302)) )],[refute_0_3237,refute_0_3238]) ).
cnf(refute_0_3240,plain,
pixley(add(X_302,X_302),X_301,X_302) = X_302,
inference(resolve,[$cnf( $equal(pixley(X_302,X_301,X_302),X_302) )],[refute_0_3233,refute_0_3239]) ).
cnf(refute_0_3241,plain,
( pixley(add(X_302,X_302),X_301,X_302) != X_302
| pixley(add(X_302,X_302),X_301,X_302) != add(multiply(X_302,inverse(X_301)),X_302)
| X_302 = add(multiply(X_302,inverse(X_301)),X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),add(multiply(X_302,inverse(X_301)),X_302)) ),[0],$fot(X_302)]]) ).
cnf(refute_0_3242,plain,
( pixley(add(X_302,X_302),X_301,X_302) != add(multiply(X_302,inverse(X_301)),X_302)
| X_302 = add(multiply(X_302,inverse(X_301)),X_302) ),
inference(resolve,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),X_302) )],[refute_0_3240,refute_0_3241]) ).
cnf(refute_0_3243,plain,
X_302 = add(multiply(X_302,inverse(X_301)),X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_302,X_302),X_301,X_302),add(multiply(X_302,inverse(X_301)),X_302)) )],[refute_0_3232,refute_0_3242]) ).
cnf(refute_0_3244,plain,
X_305 = add(multiply(X_305,inverse(inverse(Y))),X_305),
inference(subst,[],[refute_0_3243:[bind(X_301,$fot(inverse(Y))),bind(X_302,$fot(X_305))]]) ).
cnf(refute_0_3245,plain,
( X_305 != add(multiply(X_305,inverse(inverse(Y))),X_305)
| inverse(inverse(Y)) != Y
| X_305 = add(multiply(X_305,Y),X_305) ),
introduced(tautology,[equality,[$cnf( $equal(X_305,add(multiply(X_305,inverse(inverse(Y))),X_305)) ),[1,0,1],$fot(Y)]]) ).
cnf(refute_0_3246,plain,
( X_305 != add(multiply(X_305,inverse(inverse(Y))),X_305)
| X_305 = add(multiply(X_305,Y),X_305) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3245]) ).
cnf(refute_0_3247,plain,
X_305 = add(multiply(X_305,Y),X_305),
inference(resolve,[$cnf( $equal(X_305,add(multiply(X_305,inverse(inverse(Y))),X_305)) )],[refute_0_3244,refute_0_3246]) ).
cnf(refute_0_3248,plain,
X_591 = add(multiply(X_591,Y),X_591),
inference(subst,[],[refute_0_3247:[bind(X_305,$fot(X_591))]]) ).
cnf(refute_0_3249,plain,
( X_591 != add(multiply(X_591,Y),X_591)
| add(multiply(X_591,Y),X_591) = X_591 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_591)),bind(Y0,$fot(add(multiply(X_591,Y),X_591)))]]) ).
cnf(refute_0_3250,plain,
add(multiply(X_591,Y),X_591) = X_591,
inference(resolve,[$cnf( $equal(X_591,add(multiply(X_591,Y),X_591)) )],[refute_0_3248,refute_0_3249]) ).
cnf(refute_0_3251,plain,
( add(multiply(X_591,Y),X_591) != X_591
| pixley(multiply(X_591,Y),inverse(X_591),X_590) != add(multiply(multiply(X_591,Y),X_591),multiply(X_590,add(multiply(X_591,Y),X_591)))
| pixley(multiply(X_591,Y),inverse(X_591),X_590) = add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_591,Y),inverse(X_591),X_590),add(multiply(multiply(X_591,Y),X_591),multiply(X_590,add(multiply(X_591,Y),X_591)))) ),[1,1,1],$fot(X_591)]]) ).
cnf(refute_0_3252,plain,
( pixley(multiply(X_591,Y),inverse(X_591),X_590) != add(multiply(multiply(X_591,Y),X_591),multiply(X_590,add(multiply(X_591,Y),X_591)))
| pixley(multiply(X_591,Y),inverse(X_591),X_590) = add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_591,Y),X_591),X_591) )],[refute_0_3250,refute_0_3251]) ).
cnf(refute_0_3253,plain,
pixley(multiply(X_591,Y),inverse(X_591),X_590) = add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_591,Y),inverse(X_591),X_590),add(multiply(multiply(X_591,Y),X_591),multiply(X_590,add(multiply(X_591,Y),X_591)))) )],[refute_0_3225,refute_0_3252]) ).
cnf(refute_0_3254,plain,
add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591)) = multiply(X_591,add(multiply(X_591,Y),X_590)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_591)),bind(Y,$fot(multiply(X_591,Y))),bind(Z,$fot(X_590))]]) ).
cnf(refute_0_3255,plain,
( add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591)) != multiply(X_591,add(multiply(X_591,Y),X_590))
| pixley(multiply(X_591,Y),inverse(X_591),X_590) != add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591))
| pixley(multiply(X_591,Y),inverse(X_591),X_590) = multiply(X_591,add(multiply(X_591,Y),X_590)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_591,Y),inverse(X_591),X_590),add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591))) ),[1],$fot(multiply(X_591,add(multiply(X_591,Y),X_590)))]]) ).
cnf(refute_0_3256,plain,
( pixley(multiply(X_591,Y),inverse(X_591),X_590) != add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591))
| pixley(multiply(X_591,Y),inverse(X_591),X_590) = multiply(X_591,add(multiply(X_591,Y),X_590)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591)),multiply(X_591,add(multiply(X_591,Y),X_590))) )],[refute_0_3254,refute_0_3255]) ).
cnf(refute_0_3257,plain,
pixley(multiply(X_591,Y),inverse(X_591),X_590) = multiply(X_591,add(multiply(X_591,Y),X_590)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_591,Y),inverse(X_591),X_590),add(multiply(multiply(X_591,Y),X_591),multiply(X_590,X_591))) )],[refute_0_3253,refute_0_3256]) ).
cnf(refute_0_3258,plain,
pixley(multiply(X_399,X_401),inverse(X_399),X_400) = multiply(X_399,add(multiply(X_399,X_401),X_400)),
inference(subst,[],[refute_0_3257:[bind(Y,$fot(X_401)),bind(X_590,$fot(X_400)),bind(X_591,$fot(X_399))]]) ).
cnf(refute_0_3259,plain,
inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) = inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),
introduced(tautology,[refl,[$fot(inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)))]]) ).
cnf(refute_0_3260,plain,
( inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) != inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400))
| pixley(multiply(X_399,X_401),inverse(X_399),X_400) != multiply(X_399,add(multiply(X_399,X_401),X_400))
| inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) = inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400))) ),[1,0],$fot(multiply(X_399,add(multiply(X_399,X_401),X_400)))]]) ).
cnf(refute_0_3261,plain,
( pixley(multiply(X_399,X_401),inverse(X_399),X_400) != multiply(X_399,add(multiply(X_399,X_401),X_400))
| inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) = inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))) ),
inference(resolve,[$cnf( $equal(inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400))) )],[refute_0_3259,refute_0_3260]) ).
cnf(refute_0_3262,plain,
inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) = inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_399,X_401),inverse(X_399),X_400),multiply(X_399,add(multiply(X_399,X_401),X_400))) )],[refute_0_3258,refute_0_3261]) ).
cnf(refute_0_3263,plain,
pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),
introduced(tautology,[refl,[$fot(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1))]]) ).
cnf(refute_0_3264,plain,
( inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) != inverse(multiply(X_399,add(multiply(X_399,X_401),X_400)))
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) != pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1)
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1)) ),[1,1],$fot(inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))))]]) ).
cnf(refute_0_3265,plain,
( inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)) != inverse(multiply(X_399,add(multiply(X_399,X_401),X_400)))
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1)) )],[refute_0_3263,refute_0_3264]) ).
cnf(refute_0_3266,plain,
pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1),
inference(resolve,[$cnf( $equal(inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400)))) )],[refute_0_3262,refute_0_3265]) ).
cnf(refute_0_3267,plain,
( pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1) != multiply(X_399,add(multiply(X_399,X_401),X_400))
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) != pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1)
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = multiply(X_399,add(multiply(X_399,X_401),X_400)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1))),bind(Y0,$fot(pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1))),bind(Z0,$fot(multiply(X_399,add(multiply(X_399,X_401),X_400))))]]) ).
cnf(refute_0_3268,plain,
( pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1) != multiply(X_399,add(multiply(X_399,X_401),X_400))
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = multiply(X_399,add(multiply(X_399,X_401),X_400)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1)) )],[refute_0_3266,refute_0_3267]) ).
cnf(refute_0_3269,plain,
pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) = multiply(X_399,add(multiply(X_399,X_401),X_400)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(multiply(X_399,add(multiply(X_399,X_401),X_400))),n1),multiply(X_399,add(multiply(X_399,X_401),X_400))) )],[refute_0_3224,refute_0_3268]) ).
cnf(refute_0_3270,plain,
( pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) != multiply(X_399,add(multiply(X_399,X_401),X_400))
| pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| multiply(X_399,add(multiply(X_399,X_401),X_400)) = pixley(multiply(X_401,X_399),inverse(X_399),X_400) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) ),[0],$fot(multiply(X_399,add(multiply(X_399,X_401),X_400)))]]) ).
cnf(refute_0_3271,plain,
( pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| multiply(X_399,add(multiply(X_399,X_401),X_400)) = pixley(multiply(X_401,X_399),inverse(X_399),X_400) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),multiply(X_399,add(multiply(X_399,X_401),X_400))) )],[refute_0_3269,refute_0_3270]) ).
cnf(refute_0_3272,plain,
multiply(X_399,add(multiply(X_399,X_401),X_400)) = pixley(multiply(X_401,X_399),inverse(X_399),X_400),
inference(resolve,[$cnf( $equal(pixley(multiply(X_400,X_399),inverse(pixley(multiply(X_399,X_401),inverse(X_399),X_400)),n1),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) )],[refute_0_3211,refute_0_3271]) ).
cnf(refute_0_3273,plain,
multiply(add(Y,X_407),add(Y,Z)) = add(multiply(Y,add(Y,X_407)),multiply(Z,add(Y,X_407))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(Y,X_407)))]]) ).
cnf(refute_0_3274,plain,
multiply(Y,add(Y,X_407)) = Y,
inference(subst,[],[refute_0_2641:[bind(Z,$fot(X_407)),bind(X_26,$fot(Y))]]) ).
cnf(refute_0_3275,plain,
( multiply(Y,add(Y,X_407)) != Y
| multiply(add(Y,X_407),add(Y,Z)) != add(multiply(Y,add(Y,X_407)),multiply(Z,add(Y,X_407)))
| multiply(add(Y,X_407),add(Y,Z)) = add(Y,multiply(Z,add(Y,X_407))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Y,X_407),add(Y,Z)),add(multiply(Y,add(Y,X_407)),multiply(Z,add(Y,X_407)))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_3276,plain,
( multiply(add(Y,X_407),add(Y,Z)) != add(multiply(Y,add(Y,X_407)),multiply(Z,add(Y,X_407)))
| multiply(add(Y,X_407),add(Y,Z)) = add(Y,multiply(Z,add(Y,X_407))) ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,X_407)),Y) )],[refute_0_3274,refute_0_3275]) ).
cnf(refute_0_3277,plain,
multiply(add(Y,X_407),add(Y,Z)) = add(Y,multiply(Z,add(Y,X_407))),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_407),add(Y,Z)),add(multiply(Y,add(Y,X_407)),multiply(Z,add(Y,X_407)))) )],[refute_0_3273,refute_0_3276]) ).
cnf(refute_0_3278,plain,
multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = add(multiply(X_600,Y),multiply(X_599,add(multiply(X_600,Y),X_600))),
inference(subst,[],[refute_0_3277:[bind(Y,$fot(multiply(X_600,Y))),bind(Z,$fot(X_599)),bind(X_407,$fot(X_600))]]) ).
cnf(refute_0_3279,plain,
X_600 = add(multiply(X_600,Y),X_600),
inference(subst,[],[refute_0_3247:[bind(X_305,$fot(X_600))]]) ).
cnf(refute_0_3280,plain,
( X_600 != add(multiply(X_600,Y),X_600)
| add(multiply(X_600,Y),X_600) = X_600 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_600)),bind(Y0,$fot(add(multiply(X_600,Y),X_600)))]]) ).
cnf(refute_0_3281,plain,
add(multiply(X_600,Y),X_600) = X_600,
inference(resolve,[$cnf( $equal(X_600,add(multiply(X_600,Y),X_600)) )],[refute_0_3279,refute_0_3280]) ).
cnf(refute_0_3282,plain,
( multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,add(multiply(X_600,Y),X_600)))
| add(multiply(X_600,Y),X_600) != X_600
| multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = add(multiply(X_600,Y),multiply(X_599,X_600)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),add(multiply(X_600,Y),multiply(X_599,add(multiply(X_600,Y),X_600)))) ),[1,1,1],$fot(X_600)]]) ).
cnf(refute_0_3283,plain,
( multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,add(multiply(X_600,Y),X_600)))
| multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = add(multiply(X_600,Y),multiply(X_599,X_600)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_600,Y),X_600),X_600) )],[refute_0_3281,refute_0_3282]) ).
cnf(refute_0_3284,plain,
multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = add(multiply(X_600,Y),multiply(X_599,X_600)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),add(multiply(X_600,Y),multiply(X_599,add(multiply(X_600,Y),X_600)))) )],[refute_0_3278,refute_0_3283]) ).
cnf(refute_0_3285,plain,
multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),
introduced(tautology,[refl,[$fot(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)))]]) ).
cnf(refute_0_3286,plain,
( multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599))
| add(multiply(X_600,Y),X_600) != X_600
| multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = multiply(X_600,add(multiply(X_600,Y),X_599)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599))) ),[1,0],$fot(X_600)]]) ).
cnf(refute_0_3287,plain,
( add(multiply(X_600,Y),X_600) != X_600
| multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = multiply(X_600,add(multiply(X_600,Y),X_599)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599))) )],[refute_0_3285,refute_0_3286]) ).
cnf(refute_0_3288,plain,
multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) = multiply(X_600,add(multiply(X_600,Y),X_599)),
inference(resolve,[$cnf( $equal(add(multiply(X_600,Y),X_600),X_600) )],[refute_0_3281,refute_0_3287]) ).
cnf(refute_0_3289,plain,
( multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != multiply(X_600,add(multiply(X_600,Y),X_599))
| multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,X_600))
| multiply(X_600,add(multiply(X_600,Y),X_599)) = add(multiply(X_600,Y),multiply(X_599,X_600)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),add(multiply(X_600,Y),multiply(X_599,X_600))) ),[0],$fot(multiply(X_600,add(multiply(X_600,Y),X_599)))]]) ).
cnf(refute_0_3290,plain,
( multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,X_600))
| multiply(X_600,add(multiply(X_600,Y),X_599)) = add(multiply(X_600,Y),multiply(X_599,X_600)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),multiply(X_600,add(multiply(X_600,Y),X_599))) )],[refute_0_3288,refute_0_3289]) ).
cnf(refute_0_3291,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
| multiply(Y,X) != multiply(X,Y)
| multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) ),[1,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_3292,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
| multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(Y,X),multiply(X,Y)) )],[refute_0_3032,refute_0_3291]) ).
cnf(refute_0_3293,plain,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) )],[multiply_add_property,refute_0_3292]) ).
cnf(refute_0_3294,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(Z,X))
| add(multiply(X,Y),multiply(Z,X)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(Z,X))))]]) ).
cnf(refute_0_3295,plain,
add(multiply(X,Y),multiply(Z,X)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(Z,X))) )],[refute_0_3293,refute_0_3294]) ).
cnf(refute_0_3296,plain,
add(multiply(X_600,Y),multiply(X_599,X_600)) = multiply(X_600,add(Y,X_599)),
inference(subst,[],[refute_0_3295:[bind(X,$fot(X_600)),bind(Z,$fot(X_599))]]) ).
cnf(refute_0_3297,plain,
( multiply(X_600,add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,X_600))
| add(multiply(X_600,Y),multiply(X_599,X_600)) != multiply(X_600,add(Y,X_599))
| multiply(X_600,add(multiply(X_600,Y),X_599)) = multiply(X_600,add(Y,X_599)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_600,add(multiply(X_600,Y),X_599)),multiply(X_600,add(Y,X_599))) ),[0],$fot(add(multiply(X_600,Y),multiply(X_599,X_600)))]]) ).
cnf(refute_0_3298,plain,
( multiply(X_600,add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,X_600))
| multiply(X_600,add(multiply(X_600,Y),X_599)) = multiply(X_600,add(Y,X_599)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_600,Y),multiply(X_599,X_600)),multiply(X_600,add(Y,X_599))) )],[refute_0_3296,refute_0_3297]) ).
cnf(refute_0_3299,plain,
( multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)) != add(multiply(X_600,Y),multiply(X_599,X_600))
| multiply(X_600,add(multiply(X_600,Y),X_599)) = multiply(X_600,add(Y,X_599)) ),
inference(resolve,[$cnf( $equal(multiply(X_600,add(multiply(X_600,Y),X_599)),add(multiply(X_600,Y),multiply(X_599,X_600))) )],[refute_0_3290,refute_0_3298]) ).
cnf(refute_0_3300,plain,
multiply(X_600,add(multiply(X_600,Y),X_599)) = multiply(X_600,add(Y,X_599)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_600,Y),X_600),add(multiply(X_600,Y),X_599)),add(multiply(X_600,Y),multiply(X_599,X_600))) )],[refute_0_3284,refute_0_3299]) ).
cnf(refute_0_3301,plain,
multiply(X_399,add(multiply(X_399,X_401),X_400)) = multiply(X_399,add(X_401,X_400)),
inference(subst,[],[refute_0_3300:[bind(Y,$fot(X_401)),bind(X_599,$fot(X_400)),bind(X_600,$fot(X_399))]]) ).
cnf(refute_0_3302,plain,
( multiply(X_399,add(multiply(X_399,X_401),X_400)) != multiply(X_399,add(X_401,X_400))
| multiply(X_399,add(multiply(X_399,X_401),X_400)) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| multiply(X_399,add(X_401,X_400)) = pixley(multiply(X_401,X_399),inverse(X_399),X_400) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_399,add(multiply(X_399,X_401),X_400)),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) ),[0],$fot(multiply(X_399,add(X_401,X_400)))]]) ).
cnf(refute_0_3303,plain,
( multiply(X_399,add(multiply(X_399,X_401),X_400)) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| multiply(X_399,add(X_401,X_400)) = pixley(multiply(X_401,X_399),inverse(X_399),X_400) ),
inference(resolve,[$cnf( $equal(multiply(X_399,add(multiply(X_399,X_401),X_400)),multiply(X_399,add(X_401,X_400))) )],[refute_0_3301,refute_0_3302]) ).
cnf(refute_0_3304,plain,
multiply(X_399,add(X_401,X_400)) = pixley(multiply(X_401,X_399),inverse(X_399),X_400),
inference(resolve,[$cnf( $equal(multiply(X_399,add(multiply(X_399,X_401),X_400)),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) )],[refute_0_3272,refute_0_3303]) ).
cnf(refute_0_3305,plain,
pixley(X,inverse(multiply(X_627,X)),Z) = add(multiply(X,multiply(X_627,X)),multiply(Z,add(X,multiply(X_627,X)))),
inference(subst,[],[refute_0_2222:[bind(X_262,$fot(multiply(X_627,X)))]]) ).
cnf(refute_0_3306,plain,
multiply(X_280,multiply(X_280,multiply(X_280,X_287))) = multiply(multiply(X_280,X_287),X_280),
inference(subst,[],[refute_0_2681:[bind(X_281,$fot(multiply(X_280,X_287)))]]) ).
cnf(refute_0_3307,plain,
multiply(X_280,multiply(X_280,X_287)) = multiply(X_287,X_280),
inference(subst,[],[refute_0_2681:[bind(X_281,$fot(X_287))]]) ).
cnf(refute_0_3308,plain,
( multiply(X_280,multiply(X_280,X_287)) != multiply(X_287,X_280)
| multiply(X_280,multiply(X_280,multiply(X_280,X_287))) != multiply(multiply(X_280,X_287),X_280)
| multiply(X_280,multiply(X_287,X_280)) = multiply(multiply(X_280,X_287),X_280) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_280,multiply(X_280,multiply(X_280,X_287))),multiply(multiply(X_280,X_287),X_280)) ),[0,1],$fot(multiply(X_287,X_280))]]) ).
cnf(refute_0_3309,plain,
( multiply(X_280,multiply(X_280,multiply(X_280,X_287))) != multiply(multiply(X_280,X_287),X_280)
| multiply(X_280,multiply(X_287,X_280)) = multiply(multiply(X_280,X_287),X_280) ),
inference(resolve,[$cnf( $equal(multiply(X_280,multiply(X_280,X_287)),multiply(X_287,X_280)) )],[refute_0_3307,refute_0_3308]) ).
cnf(refute_0_3310,plain,
multiply(X_280,multiply(X_287,X_280)) = multiply(multiply(X_280,X_287),X_280),
inference(resolve,[$cnf( $equal(multiply(X_280,multiply(X_280,multiply(X_280,X_287))),multiply(multiply(X_280,X_287),X_280)) )],[refute_0_3306,refute_0_3309]) ).
cnf(refute_0_3311,plain,
multiply(multiply(X_280,X_287),X_280) = multiply(X_280,multiply(X_280,X_287)),
inference(subst,[],[refute_0_1545:[bind(X,$fot(X_280)),bind(Z,$fot(multiply(X_280,X_287)))]]) ).
cnf(refute_0_3312,plain,
( multiply(X_280,multiply(X_280,X_287)) != multiply(X_287,X_280)
| multiply(multiply(X_280,X_287),X_280) != multiply(X_280,multiply(X_280,X_287))
| multiply(multiply(X_280,X_287),X_280) = multiply(X_287,X_280) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_280,X_287),X_280))),bind(Y0,$fot(multiply(X_280,multiply(X_280,X_287)))),bind(Z0,$fot(multiply(X_287,X_280)))]]) ).
cnf(refute_0_3313,plain,
( multiply(X_280,multiply(X_280,X_287)) != multiply(X_287,X_280)
| multiply(multiply(X_280,X_287),X_280) = multiply(X_287,X_280) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_287),X_280),multiply(X_280,multiply(X_280,X_287))) )],[refute_0_3311,refute_0_3312]) ).
cnf(refute_0_3314,plain,
multiply(multiply(X_280,X_287),X_280) = multiply(X_287,X_280),
inference(resolve,[$cnf( $equal(multiply(X_280,multiply(X_280,X_287)),multiply(X_287,X_280)) )],[refute_0_3307,refute_0_3313]) ).
cnf(refute_0_3315,plain,
( multiply(X_280,multiply(X_287,X_280)) != multiply(multiply(X_280,X_287),X_280)
| multiply(multiply(X_280,X_287),X_280) != multiply(X_287,X_280)
| multiply(X_280,multiply(X_287,X_280)) = multiply(X_287,X_280) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_280,multiply(X_287,X_280)),multiply(X_287,X_280)) ),[0],$fot(multiply(multiply(X_280,X_287),X_280))]]) ).
cnf(refute_0_3316,plain,
( multiply(X_280,multiply(X_287,X_280)) != multiply(multiply(X_280,X_287),X_280)
| multiply(X_280,multiply(X_287,X_280)) = multiply(X_287,X_280) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_280,X_287),X_280),multiply(X_287,X_280)) )],[refute_0_3314,refute_0_3315]) ).
cnf(refute_0_3317,plain,
multiply(X_280,multiply(X_287,X_280)) = multiply(X_287,X_280),
inference(resolve,[$cnf( $equal(multiply(X_280,multiply(X_287,X_280)),multiply(multiply(X_280,X_287),X_280)) )],[refute_0_3310,refute_0_3316]) ).
cnf(refute_0_3318,plain,
multiply(X,multiply(X_627,X)) = multiply(X_627,X),
inference(subst,[],[refute_0_3317:[bind(X_280,$fot(X)),bind(X_287,$fot(X_627))]]) ).
cnf(refute_0_3319,plain,
( multiply(X,multiply(X_627,X)) != multiply(X_627,X)
| pixley(X,inverse(multiply(X_627,X)),Z) != add(multiply(X,multiply(X_627,X)),multiply(Z,add(X,multiply(X_627,X))))
| pixley(X,inverse(multiply(X_627,X)),Z) = add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(multiply(X_627,X)),Z),add(multiply(X,multiply(X_627,X)),multiply(Z,add(X,multiply(X_627,X))))) ),[1,0],$fot(multiply(X_627,X))]]) ).
cnf(refute_0_3320,plain,
( pixley(X,inverse(multiply(X_627,X)),Z) != add(multiply(X,multiply(X_627,X)),multiply(Z,add(X,multiply(X_627,X))))
| pixley(X,inverse(multiply(X_627,X)),Z) = add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_627,X)),multiply(X_627,X)) )],[refute_0_3318,refute_0_3319]) ).
cnf(refute_0_3321,plain,
pixley(X,inverse(multiply(X_627,X)),Z) = add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(multiply(X_627,X)),Z),add(multiply(X,multiply(X_627,X)),multiply(Z,add(X,multiply(X_627,X))))) )],[refute_0_3305,refute_0_3320]) ).
cnf(refute_0_3322,plain,
add(X,multiply(X_627,X)) = X,
inference(subst,[],[refute_0_2647:[bind(Z,$fot(X_627))]]) ).
cnf(refute_0_3323,plain,
multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) = multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)),
introduced(tautology,[refl,[$fot(multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)))]]) ).
cnf(refute_0_3324,plain,
( multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) != multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z))
| add(X,multiply(X_627,X)) != X
| multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) = multiply(X,add(multiply(X_627,X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)),multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_3325,plain,
( add(X,multiply(X_627,X)) != X
| multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) = multiply(X,add(multiply(X_627,X),Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)),multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z))) )],[refute_0_3323,refute_0_3324]) ).
cnf(refute_0_3326,plain,
multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) = multiply(X,add(multiply(X_627,X),Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(X_627,X)),X) )],[refute_0_3322,refute_0_3325]) ).
cnf(refute_0_3327,plain,
add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) = multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)),
inference(subst,[],[refute_0_2757:[bind(Y,$fot(multiply(X_627,X))),bind(X_250,$fot(X))]]) ).
cnf(refute_0_3328,plain,
( multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) != multiply(X,add(multiply(X_627,X),Z))
| add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) != multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z))
| add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) = multiply(X,add(multiply(X_627,X),Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))))),bind(Y0,$fot(multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)))),bind(Z0,$fot(multiply(X,add(multiply(X_627,X),Z))))]]) ).
cnf(refute_0_3329,plain,
( multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)) != multiply(X,add(multiply(X_627,X),Z))
| add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) = multiply(X,add(multiply(X_627,X),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))),multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z))) )],[refute_0_3327,refute_0_3328]) ).
cnf(refute_0_3330,plain,
add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) = multiply(X,add(multiply(X_627,X),Z)),
inference(resolve,[$cnf( $equal(multiply(add(X,multiply(X_627,X)),add(multiply(X_627,X),Z)),multiply(X,add(multiply(X_627,X),Z))) )],[refute_0_3326,refute_0_3329]) ).
cnf(refute_0_3331,plain,
( add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))) != multiply(X,add(multiply(X_627,X),Z))
| pixley(X,inverse(multiply(X_627,X)),Z) != add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X))))
| pixley(X,inverse(multiply(X_627,X)),Z) = multiply(X,add(multiply(X_627,X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(multiply(X_627,X)),Z),add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X))))) ),[1],$fot(multiply(X,add(multiply(X_627,X),Z)))]]) ).
cnf(refute_0_3332,plain,
( pixley(X,inverse(multiply(X_627,X)),Z) != add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X))))
| pixley(X,inverse(multiply(X_627,X)),Z) = multiply(X,add(multiply(X_627,X),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X)))),multiply(X,add(multiply(X_627,X),Z))) )],[refute_0_3330,refute_0_3331]) ).
cnf(refute_0_3333,plain,
pixley(X,inverse(multiply(X_627,X)),Z) = multiply(X,add(multiply(X_627,X),Z)),
inference(resolve,[$cnf( $equal(pixley(X,inverse(multiply(X_627,X)),Z),add(multiply(X_627,X),multiply(Z,add(X,multiply(X_627,X))))) )],[refute_0_3321,refute_0_3332]) ).
cnf(refute_0_3334,plain,
pixley(X_399,inverse(multiply(X_401,X_399)),X_400) = multiply(X_399,add(multiply(X_401,X_399),X_400)),
inference(subst,[],[refute_0_3333:[bind(X,$fot(X_399)),bind(Z,$fot(X_400)),bind(X_627,$fot(X_401))]]) ).
cnf(refute_0_3335,plain,
add(multiply(inverse(Y),add(Y,X_605)),Y) = add(add(Y,X_605),Y),
inference(subst,[],[refute_0_3174:[bind(X_312,$fot(add(Y,X_605)))]]) ).
cnf(refute_0_3336,plain,
add(multiply(inverse(Y),add(Y,X_603)),Y) = add(add(Y,X_603),Y),
inference(subst,[],[refute_0_3174:[bind(X_312,$fot(add(Y,X_603)))]]) ).
cnf(refute_0_3337,plain,
multiply(add(Z,X_407),add(Y,Z)) = add(multiply(Y,add(Z,X_407)),multiply(Z,add(Z,X_407))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(Z,X_407)))]]) ).
cnf(refute_0_3338,plain,
multiply(Z,add(Z,X_407)) = Z,
inference(subst,[],[refute_0_2641:[bind(Z,$fot(X_407)),bind(X_26,$fot(Z))]]) ).
cnf(refute_0_3339,plain,
( multiply(Z,add(Z,X_407)) != Z
| multiply(add(Z,X_407),add(Y,Z)) != add(multiply(Y,add(Z,X_407)),multiply(Z,add(Z,X_407)))
| multiply(add(Z,X_407),add(Y,Z)) = add(multiply(Y,add(Z,X_407)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Z,X_407),add(Y,Z)),add(multiply(Y,add(Z,X_407)),multiply(Z,add(Z,X_407)))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_3340,plain,
( multiply(add(Z,X_407),add(Y,Z)) != add(multiply(Y,add(Z,X_407)),multiply(Z,add(Z,X_407)))
| multiply(add(Z,X_407),add(Y,Z)) = add(multiply(Y,add(Z,X_407)),Z) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,X_407)),Z) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
multiply(add(Z,X_407),add(Y,Z)) = add(multiply(Y,add(Z,X_407)),Z),
inference(resolve,[$cnf( $equal(multiply(add(Z,X_407),add(Y,Z)),add(multiply(Y,add(Z,X_407)),multiply(Z,add(Z,X_407)))) )],[refute_0_3337,refute_0_3340]) ).
cnf(refute_0_3342,plain,
multiply(add(Y,X_603),add(inverse(Y),Y)) = add(multiply(inverse(Y),add(Y,X_603)),Y),
inference(subst,[],[refute_0_3341:[bind(Y,$fot(inverse(Y))),bind(Z,$fot(Y)),bind(X_407,$fot(X_603))]]) ).
cnf(refute_0_3343,plain,
( multiply(add(Y,X_603),add(inverse(Y),Y)) != add(multiply(inverse(Y),add(Y,X_603)),Y)
| add(multiply(inverse(Y),add(Y,X_603)),Y) = multiply(add(Y,X_603),add(inverse(Y),Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(Y,X_603),add(inverse(Y),Y)))),bind(Y0,$fot(add(multiply(inverse(Y),add(Y,X_603)),Y)))]]) ).
cnf(refute_0_3344,plain,
add(multiply(inverse(Y),add(Y,X_603)),Y) = multiply(add(Y,X_603),add(inverse(Y),Y)),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),add(multiply(inverse(Y),add(Y,X_603)),Y)) )],[refute_0_3342,refute_0_3343]) ).
cnf(refute_0_3345,plain,
( add(multiply(inverse(Y),add(Y,X_603)),Y) != multiply(add(Y,X_603),add(inverse(Y),Y))
| add(multiply(inverse(Y),add(Y,X_603)),Y) != add(add(Y,X_603),Y)
| multiply(add(Y,X_603),add(inverse(Y),Y)) = add(add(Y,X_603),Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_603)),Y),add(add(Y,X_603),Y)) ),[0],$fot(multiply(add(Y,X_603),add(inverse(Y),Y)))]]) ).
cnf(refute_0_3346,plain,
( add(multiply(inverse(Y),add(Y,X_603)),Y) != add(add(Y,X_603),Y)
| multiply(add(Y,X_603),add(inverse(Y),Y)) = add(add(Y,X_603),Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_603)),Y),multiply(add(Y,X_603),add(inverse(Y),Y))) )],[refute_0_3344,refute_0_3345]) ).
cnf(refute_0_3347,plain,
multiply(add(Y,X_603),add(inverse(Y),Y)) = add(add(Y,X_603),Y),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_603)),Y),add(add(Y,X_603),Y)) )],[refute_0_3336,refute_0_3346]) ).
cnf(refute_0_3348,plain,
multiply(n1,add(Y,X_603)) = add(Y,X_603),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(Y,X_603)))]]) ).
cnf(refute_0_3349,plain,
multiply(multiply(Y,X),add(multiply(Y,X),multiply(Z,X))) = multiply(Y,X),
inference(subst,[],[refute_0_2641:[bind(Z,$fot(multiply(Z,X))),bind(X_26,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_3350,plain,
( multiply(multiply(Y,X),add(multiply(Y,X),multiply(Z,X))) != multiply(Y,X)
| add(multiply(Y,X),multiply(Z,X)) != multiply(X,add(Y,Z))
| multiply(multiply(Y,X),multiply(X,add(Y,Z))) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X),add(multiply(Y,X),multiply(Z,X))),multiply(Y,X)) ),[0,1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_3351,plain,
( multiply(multiply(Y,X),add(multiply(Y,X),multiply(Z,X))) != multiply(Y,X)
| multiply(multiply(Y,X),multiply(X,add(Y,Z))) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Z,X)),multiply(X,add(Y,Z))) )],[refute_0_4,refute_0_3350]) ).
cnf(refute_0_3352,plain,
multiply(multiply(Y,X),multiply(X,add(Y,Z))) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),add(multiply(Y,X),multiply(Z,X))),multiply(Y,X)) )],[refute_0_3349,refute_0_3351]) ).
cnf(refute_0_3353,plain,
multiply(multiply(X_439,add(X_439,Z)),multiply(add(X_439,Z),add(X_439,X_440))) = multiply(X_439,add(X_439,Z)),
inference(subst,[],[refute_0_3352:[bind(X,$fot(add(X_439,Z))),bind(Y,$fot(X_439)),bind(Z,$fot(X_440))]]) ).
cnf(refute_0_3354,plain,
multiply(X_439,add(X_439,Z)) = X_439,
inference(subst,[],[refute_0_2641:[bind(X_26,$fot(X_439))]]) ).
cnf(refute_0_3355,plain,
( multiply(X_439,add(X_439,Z)) != X_439
| multiply(multiply(X_439,add(X_439,Z)),multiply(add(X_439,Z),add(X_439,X_440))) != multiply(X_439,add(X_439,Z))
| multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) = multiply(X_439,add(X_439,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_439,add(X_439,Z)),multiply(add(X_439,Z),add(X_439,X_440))),multiply(X_439,add(X_439,Z))) ),[0,0],$fot(X_439)]]) ).
cnf(refute_0_3356,plain,
( multiply(multiply(X_439,add(X_439,Z)),multiply(add(X_439,Z),add(X_439,X_440))) != multiply(X_439,add(X_439,Z))
| multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) = multiply(X_439,add(X_439,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_439,add(X_439,Z)),X_439) )],[refute_0_3354,refute_0_3355]) ).
cnf(refute_0_3357,plain,
multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) = multiply(X_439,add(X_439,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_439,add(X_439,Z)),multiply(add(X_439,Z),add(X_439,X_440))),multiply(X_439,add(X_439,Z))) )],[refute_0_3353,refute_0_3356]) ).
cnf(refute_0_3358,plain,
( multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) != multiply(X_439,add(X_439,Z))
| multiply(X_439,add(X_439,Z)) != X_439
| multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) = X_439 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))),X_439) ),[0],$fot(multiply(X_439,add(X_439,Z)))]]) ).
cnf(refute_0_3359,plain,
( multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) != multiply(X_439,add(X_439,Z))
| multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) = X_439 ),
inference(resolve,[$cnf( $equal(multiply(X_439,add(X_439,Z)),X_439) )],[refute_0_3354,refute_0_3358]) ).
cnf(refute_0_3360,plain,
multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))) = X_439,
inference(resolve,[$cnf( $equal(multiply(X_439,multiply(add(X_439,Z),add(X_439,X_440))),multiply(X_439,add(X_439,Z))) )],[refute_0_3357,refute_0_3359]) ).
cnf(refute_0_3361,plain,
multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),add(multiply(X_474,Y),X_474))) = multiply(X_474,Y),
inference(subst,[],[refute_0_3360:[bind(Z,$fot(X_472)),bind(X_439,$fot(multiply(X_474,Y))),bind(X_440,$fot(X_474))]]) ).
cnf(refute_0_3362,plain,
X_474 = add(multiply(X_474,Y),X_474),
inference(subst,[],[refute_0_3247:[bind(X_305,$fot(X_474))]]) ).
cnf(refute_0_3363,plain,
( X_474 != add(multiply(X_474,Y),X_474)
| add(multiply(X_474,Y),X_474) = X_474 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_474)),bind(Y0,$fot(add(multiply(X_474,Y),X_474)))]]) ).
cnf(refute_0_3364,plain,
add(multiply(X_474,Y),X_474) = X_474,
inference(resolve,[$cnf( $equal(X_474,add(multiply(X_474,Y),X_474)) )],[refute_0_3362,refute_0_3363]) ).
cnf(refute_0_3365,plain,
( multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),add(multiply(X_474,Y),X_474))) != multiply(X_474,Y)
| add(multiply(X_474,Y),X_474) != X_474
| multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(X_474,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),add(multiply(X_474,Y),X_474))),multiply(X_474,Y)) ),[0,1,1],$fot(X_474)]]) ).
cnf(refute_0_3366,plain,
( multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),add(multiply(X_474,Y),X_474))) != multiply(X_474,Y)
| multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(X_474,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(X_474,Y),X_474),X_474) )],[refute_0_3364,refute_0_3365]) ).
cnf(refute_0_3367,plain,
multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(X_474,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),add(multiply(X_474,Y),X_474))),multiply(X_474,Y)) )],[refute_0_3361,refute_0_3366]) ).
cnf(refute_0_3368,plain,
multiply(add(multiply(X_474,Y),X_472),X_474) = multiply(X_474,add(multiply(X_474,Y),X_472)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(X_474)),bind(Y,$fot(add(multiply(X_474,Y),X_472)))]]) ).
cnf(refute_0_3369,plain,
multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)))]]) ).
cnf(refute_0_3370,plain,
( multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) != multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474))
| multiply(add(multiply(X_474,Y),X_472),X_474) != multiply(X_474,add(multiply(X_474,Y),X_472))
| multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)),multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474))) ),[1,1],$fot(multiply(X_474,add(multiply(X_474,Y),X_472)))]]) ).
cnf(refute_0_3371,plain,
( multiply(add(multiply(X_474,Y),X_472),X_474) != multiply(X_474,add(multiply(X_474,Y),X_472))
| multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)),multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474))) )],[refute_0_3369,refute_0_3370]) ).
cnf(refute_0_3372,plain,
multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) = multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_474,Y),X_472),X_474),multiply(X_474,add(multiply(X_474,Y),X_472))) )],[refute_0_3368,refute_0_3371]) ).
cnf(refute_0_3373,plain,
( multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) != multiply(X_474,Y)
| multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) != multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472)))
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(X_474,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)),multiply(X_474,Y)) ),[0],$fot(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))))]]) ).
cnf(refute_0_3374,plain,
( multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)) != multiply(X_474,Y)
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(X_474,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)),multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472)))) )],[refute_0_3372,refute_0_3373]) ).
cnf(refute_0_3375,plain,
multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(X_474,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(add(multiply(X_474,Y),X_472),X_474)),multiply(X_474,Y)) )],[refute_0_3367,refute_0_3374]) ).
cnf(refute_0_3376,plain,
multiply(multiply(X_439,X_438),multiply(X_438,add(X_439,X_440))) = multiply(X_439,X_438),
inference(subst,[],[refute_0_3352:[bind(X,$fot(X_438)),bind(Y,$fot(X_439)),bind(Z,$fot(X_440))]]) ).
cnf(refute_0_3377,plain,
multiply(X_438,X_439) = multiply(X_439,X_438),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_439)),bind(X_58,$fot(X_438))]]) ).
cnf(refute_0_3378,plain,
( multiply(X_438,X_439) != multiply(X_439,X_438)
| multiply(X_439,X_438) = multiply(X_438,X_439) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_438,X_439))),bind(Y0,$fot(multiply(X_439,X_438)))]]) ).
cnf(refute_0_3379,plain,
multiply(X_439,X_438) = multiply(X_438,X_439),
inference(resolve,[$cnf( $equal(multiply(X_438,X_439),multiply(X_439,X_438)) )],[refute_0_3377,refute_0_3378]) ).
cnf(refute_0_3380,plain,
( multiply(X_439,X_438) != multiply(X_438,X_439)
| multiply(multiply(X_439,X_438),multiply(X_438,add(X_439,X_440))) != multiply(X_439,X_438)
| multiply(multiply(X_438,X_439),multiply(X_438,add(X_439,X_440))) = multiply(X_439,X_438) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_439,X_438),multiply(X_438,add(X_439,X_440))),multiply(X_439,X_438)) ),[0,0],$fot(multiply(X_438,X_439))]]) ).
cnf(refute_0_3381,plain,
( multiply(multiply(X_439,X_438),multiply(X_438,add(X_439,X_440))) != multiply(X_439,X_438)
| multiply(multiply(X_438,X_439),multiply(X_438,add(X_439,X_440))) = multiply(X_439,X_438) ),
inference(resolve,[$cnf( $equal(multiply(X_439,X_438),multiply(X_438,X_439)) )],[refute_0_3379,refute_0_3380]) ).
cnf(refute_0_3382,plain,
multiply(multiply(X_438,X_439),multiply(X_438,add(X_439,X_440))) = multiply(X_439,X_438),
inference(resolve,[$cnf( $equal(multiply(multiply(X_439,X_438),multiply(X_438,add(X_439,X_440))),multiply(X_439,X_438)) )],[refute_0_3376,refute_0_3381]) ).
cnf(refute_0_3383,plain,
multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))) = multiply(Y,X_474),
inference(subst,[],[refute_0_3382:[bind(X_438,$fot(X_474)),bind(X_439,$fot(Y)),bind(X_440,$fot(X_472))]]) ).
cnf(refute_0_3384,plain,
multiply(X_474,add(multiply(X_474,Y),X_472)) = multiply(X_474,add(Y,X_472)),
inference(subst,[],[refute_0_3300:[bind(X_599,$fot(X_472)),bind(X_600,$fot(X_474))]]) ).
cnf(refute_0_3385,plain,
multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))))]]) ).
cnf(refute_0_3386,plain,
( multiply(X_474,add(multiply(X_474,Y),X_472)) != multiply(X_474,add(Y,X_472))
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) != multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472)))
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472)))) ),[1,1],$fot(multiply(X_474,add(Y,X_472)))]]) ).
cnf(refute_0_3387,plain,
( multiply(X_474,add(multiply(X_474,Y),X_472)) != multiply(X_474,add(Y,X_472))
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472)))) )],[refute_0_3385,refute_0_3386]) ).
cnf(refute_0_3388,plain,
multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))),
inference(resolve,[$cnf( $equal(multiply(X_474,add(multiply(X_474,Y),X_472)),multiply(X_474,add(Y,X_472))) )],[refute_0_3384,refute_0_3387]) ).
cnf(refute_0_3389,plain,
( multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))) != multiply(Y,X_474)
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) != multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472)))
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(Y,X_474) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))))),bind(Y0,$fot(multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))))),bind(Z0,$fot(multiply(Y,X_474)))]]) ).
cnf(refute_0_3390,plain,
( multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))) != multiply(Y,X_474)
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(Y,X_474) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472)))) )],[refute_0_3388,refute_0_3389]) ).
cnf(refute_0_3391,plain,
multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) = multiply(Y,X_474),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(Y,X_472))),multiply(Y,X_474)) )],[refute_0_3383,refute_0_3390]) ).
cnf(refute_0_3392,plain,
( multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) != multiply(Y,X_474)
| multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) != multiply(X_474,Y)
| multiply(Y,X_474) = multiply(X_474,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),multiply(X_474,Y)) ),[0],$fot(multiply(Y,X_474))]]) ).
cnf(refute_0_3393,plain,
( multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))) != multiply(X_474,Y)
| multiply(Y,X_474) = multiply(X_474,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),multiply(Y,X_474)) )],[refute_0_3391,refute_0_3392]) ).
cnf(refute_0_3394,plain,
multiply(Y,X_474) = multiply(X_474,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_474,Y),multiply(X_474,add(multiply(X_474,Y),X_472))),multiply(X_474,Y)) )],[refute_0_3375,refute_0_3393]) ).
cnf(refute_0_3395,plain,
( multiply(Y,X_474) != multiply(X_474,Y)
| multiply(X_474,Y) = multiply(Y,X_474) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,X_474))),bind(Y0,$fot(multiply(X_474,Y)))]]) ).
cnf(refute_0_3396,plain,
multiply(X_474,Y) = multiply(Y,X_474),
inference(resolve,[$cnf( $equal(multiply(Y,X_474),multiply(X_474,Y)) )],[refute_0_3394,refute_0_3395]) ).
cnf(refute_0_3397,plain,
multiply(add(Y,X_603),n1) = multiply(n1,add(Y,X_603)),
inference(subst,[],[refute_0_3396:[bind(Y,$fot(n1)),bind(X_474,$fot(add(Y,X_603)))]]) ).
cnf(refute_0_3398,plain,
( multiply(add(Y,X_603),n1) != multiply(n1,add(Y,X_603))
| multiply(n1,add(Y,X_603)) != add(Y,X_603)
| multiply(add(Y,X_603),n1) = add(Y,X_603) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(Y,X_603),n1))),bind(Y0,$fot(multiply(n1,add(Y,X_603)))),bind(Z0,$fot(add(Y,X_603)))]]) ).
cnf(refute_0_3399,plain,
( multiply(n1,add(Y,X_603)) != add(Y,X_603)
| multiply(add(Y,X_603),n1) = add(Y,X_603) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),n1),multiply(n1,add(Y,X_603))) )],[refute_0_3397,refute_0_3398]) ).
cnf(refute_0_3400,plain,
multiply(add(Y,X_603),n1) = add(Y,X_603),
inference(resolve,[$cnf( $equal(multiply(n1,add(Y,X_603)),add(Y,X_603)) )],[refute_0_3348,refute_0_3399]) ).
cnf(refute_0_3401,plain,
add(inverse(Y),Y) = n1,
inference(subst,[],[refute_0_3183:[bind(X_262,$fot(Y))]]) ).
cnf(refute_0_3402,plain,
multiply(add(Y,X_603),add(inverse(Y),Y)) = multiply(add(Y,X_603),add(inverse(Y),Y)),
introduced(tautology,[refl,[$fot(multiply(add(Y,X_603),add(inverse(Y),Y)))]]) ).
cnf(refute_0_3403,plain,
( multiply(add(Y,X_603),add(inverse(Y),Y)) != multiply(add(Y,X_603),add(inverse(Y),Y))
| add(inverse(Y),Y) != n1
| multiply(add(Y,X_603),add(inverse(Y),Y)) = multiply(add(Y,X_603),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),multiply(add(Y,X_603),add(inverse(Y),Y))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_3404,plain,
( add(inverse(Y),Y) != n1
| multiply(add(Y,X_603),add(inverse(Y),Y)) = multiply(add(Y,X_603),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),multiply(add(Y,X_603),add(inverse(Y),Y))) )],[refute_0_3402,refute_0_3403]) ).
cnf(refute_0_3405,plain,
multiply(add(Y,X_603),add(inverse(Y),Y)) = multiply(add(Y,X_603),n1),
inference(resolve,[$cnf( $equal(add(inverse(Y),Y),n1) )],[refute_0_3401,refute_0_3404]) ).
cnf(refute_0_3406,plain,
( multiply(add(Y,X_603),add(inverse(Y),Y)) != multiply(add(Y,X_603),n1)
| multiply(add(Y,X_603),n1) != add(Y,X_603)
| multiply(add(Y,X_603),add(inverse(Y),Y)) = add(Y,X_603) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(Y,X_603),add(inverse(Y),Y)))),bind(Y0,$fot(multiply(add(Y,X_603),n1))),bind(Z0,$fot(add(Y,X_603)))]]) ).
cnf(refute_0_3407,plain,
( multiply(add(Y,X_603),n1) != add(Y,X_603)
| multiply(add(Y,X_603),add(inverse(Y),Y)) = add(Y,X_603) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),multiply(add(Y,X_603),n1)) )],[refute_0_3405,refute_0_3406]) ).
cnf(refute_0_3408,plain,
multiply(add(Y,X_603),add(inverse(Y),Y)) = add(Y,X_603),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),n1),add(Y,X_603)) )],[refute_0_3400,refute_0_3407]) ).
cnf(refute_0_3409,plain,
( multiply(add(Y,X_603),add(inverse(Y),Y)) != add(Y,X_603)
| multiply(add(Y,X_603),add(inverse(Y),Y)) != add(add(Y,X_603),Y)
| add(Y,X_603) = add(add(Y,X_603),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),add(add(Y,X_603),Y)) ),[0],$fot(add(Y,X_603))]]) ).
cnf(refute_0_3410,plain,
( multiply(add(Y,X_603),add(inverse(Y),Y)) != add(add(Y,X_603),Y)
| add(Y,X_603) = add(add(Y,X_603),Y) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),add(Y,X_603)) )],[refute_0_3408,refute_0_3409]) ).
cnf(refute_0_3411,plain,
add(Y,X_603) = add(add(Y,X_603),Y),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_603),add(inverse(Y),Y)),add(add(Y,X_603),Y)) )],[refute_0_3347,refute_0_3410]) ).
cnf(refute_0_3412,plain,
add(Y,X_605) = add(add(Y,X_605),Y),
inference(subst,[],[refute_0_3411:[bind(X_603,$fot(X_605))]]) ).
cnf(refute_0_3413,plain,
( add(Y,X_605) != add(add(Y,X_605),Y)
| add(add(Y,X_605),Y) = add(Y,X_605) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Y,X_605))),bind(Y0,$fot(add(add(Y,X_605),Y)))]]) ).
cnf(refute_0_3414,plain,
add(add(Y,X_605),Y) = add(Y,X_605),
inference(resolve,[$cnf( $equal(add(Y,X_605),add(add(Y,X_605),Y)) )],[refute_0_3412,refute_0_3413]) ).
cnf(refute_0_3415,plain,
( add(multiply(inverse(Y),add(Y,X_605)),Y) != add(add(Y,X_605),Y)
| add(add(Y,X_605),Y) != add(Y,X_605)
| add(multiply(inverse(Y),add(Y,X_605)),Y) = add(Y,X_605) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(inverse(Y),add(Y,X_605)),Y),add(Y,X_605)) ),[0],$fot(add(add(Y,X_605),Y))]]) ).
cnf(refute_0_3416,plain,
( add(multiply(inverse(Y),add(Y,X_605)),Y) != add(add(Y,X_605),Y)
| add(multiply(inverse(Y),add(Y,X_605)),Y) = add(Y,X_605) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_605),Y),add(Y,X_605)) )],[refute_0_3414,refute_0_3415]) ).
cnf(refute_0_3417,plain,
add(multiply(inverse(Y),add(Y,X_605)),Y) = add(Y,X_605),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_605)),Y),add(add(Y,X_605),Y)) )],[refute_0_3335,refute_0_3416]) ).
cnf(refute_0_3418,plain,
add(multiply(inverse(Y),X_605),Y) = add(X_605,Y),
inference(subst,[],[refute_0_3174:[bind(X_312,$fot(X_605))]]) ).
cnf(refute_0_3419,plain,
pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,add(add(X_377,X_407),inverse(X_377)))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(add(X_377,X_407))),bind(Z,$fot(X_590)),bind(X_262,$fot(inverse(X_377)))]]) ).
cnf(refute_0_3420,plain,
n1 = add(add(X_377,X_407),inverse(multiply(X_377,add(X_377,X_407)))),
inference(subst,[],[refute_0_3097:[bind(Y,$fot(add(X_377,X_407)))]]) ).
cnf(refute_0_3421,plain,
multiply(X_377,add(X_377,X_407)) = X_377,
inference(subst,[],[refute_0_2641:[bind(Z,$fot(X_407)),bind(X_26,$fot(X_377))]]) ).
cnf(refute_0_3422,plain,
( multiply(X_377,add(X_377,X_407)) != X_377
| n1 != add(add(X_377,X_407),inverse(multiply(X_377,add(X_377,X_407))))
| n1 = add(add(X_377,X_407),inverse(X_377)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(add(X_377,X_407),inverse(multiply(X_377,add(X_377,X_407))))) ),[1,1,0],$fot(X_377)]]) ).
cnf(refute_0_3423,plain,
( n1 != add(add(X_377,X_407),inverse(multiply(X_377,add(X_377,X_407))))
| n1 = add(add(X_377,X_407),inverse(X_377)) ),
inference(resolve,[$cnf( $equal(multiply(X_377,add(X_377,X_407)),X_377) )],[refute_0_3421,refute_0_3422]) ).
cnf(refute_0_3424,plain,
n1 = add(add(X_377,X_407),inverse(X_377)),
inference(resolve,[$cnf( $equal(n1,add(add(X_377,X_407),inverse(multiply(X_377,add(X_377,X_407))))) )],[refute_0_3420,refute_0_3423]) ).
cnf(refute_0_3425,plain,
( n1 != add(add(X_377,X_407),inverse(X_377))
| add(add(X_377,X_407),inverse(X_377)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(add(X_377,X_407),inverse(X_377))))]]) ).
cnf(refute_0_3426,plain,
add(add(X_377,X_407),inverse(X_377)) = n1,
inference(resolve,[$cnf( $equal(n1,add(add(X_377,X_407),inverse(X_377))) )],[refute_0_3424,refute_0_3425]) ).
cnf(refute_0_3427,plain,
( add(add(X_377,X_407),inverse(X_377)) != n1
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,add(add(X_377,X_407),inverse(X_377))))
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,add(add(X_377,X_407),inverse(X_377))))) ),[1,1,1],$fot(n1)]]) ).
cnf(refute_0_3428,plain,
( pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,add(add(X_377,X_407),inverse(X_377))))
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) ),
inference(resolve,[$cnf( $equal(add(add(X_377,X_407),inverse(X_377)),n1) )],[refute_0_3426,refute_0_3427]) ).
cnf(refute_0_3429,plain,
pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)),
inference(resolve,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,add(add(X_377,X_407),inverse(X_377))))) )],[refute_0_3419,refute_0_3428]) ).
cnf(refute_0_3430,plain,
inverse(inverse(X_377)) = X_377,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_377))]]) ).
cnf(refute_0_3431,plain,
pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),
introduced(tautology,[refl,[$fot(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590))]]) ).
cnf(refute_0_3432,plain,
( inverse(inverse(X_377)) != X_377
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590)
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = pixley(add(X_377,X_407),X_377,X_590) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590)) ),[1,1],$fot(X_377)]]) ).
cnf(refute_0_3433,plain,
( inverse(inverse(X_377)) != X_377
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = pixley(add(X_377,X_407),X_377,X_590) ),
inference(resolve,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590)) )],[refute_0_3431,refute_0_3432]) ).
cnf(refute_0_3434,plain,
pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) = pixley(add(X_377,X_407),X_377,X_590),
inference(resolve,[$cnf( $equal(inverse(inverse(X_377)),X_377) )],[refute_0_3430,refute_0_3433]) ).
cnf(refute_0_3435,plain,
( pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))
| pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != pixley(add(X_377,X_407),X_377,X_590)
| pixley(add(X_377,X_407),X_377,X_590) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))) ),[0],$fot(pixley(add(X_377,X_407),X_377,X_590))]]) ).
cnf(refute_0_3436,plain,
( pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))
| pixley(add(X_377,X_407),X_377,X_590) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) ),
inference(resolve,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),pixley(add(X_377,X_407),X_377,X_590)) )],[refute_0_3434,refute_0_3435]) ).
cnf(refute_0_3437,plain,
multiply(X_590,n1) = X_590,
inference(subst,[],[refute_0_1827:[bind(X_55,$fot(X_590))]]) ).
cnf(refute_0_3438,plain,
add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),multiply(X_590,n1)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_377),X_407),multiply(X_590,n1)))]]) ).
cnf(refute_0_3439,plain,
( multiply(X_590,n1) != X_590
| add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) != add(multiply(inverse(X_377),X_407),multiply(X_590,n1))
| add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),X_590) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_377),X_407),multiply(X_590,n1)),add(multiply(inverse(X_377),X_407),multiply(X_590,n1))) ),[1,1],$fot(X_590)]]) ).
cnf(refute_0_3440,plain,
( multiply(X_590,n1) != X_590
| add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),X_590) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_377),X_407),multiply(X_590,n1)),add(multiply(inverse(X_377),X_407),multiply(X_590,n1))) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),X_590),
inference(resolve,[$cnf( $equal(multiply(X_590,n1),X_590) )],[refute_0_3437,refute_0_3440]) ).
cnf(refute_0_3442,plain,
multiply(inverse(Y),add(Y,Z)) = add(multiply(Y,inverse(Y)),multiply(Z,inverse(Y))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_3443,plain,
inverse(n1) = multiply(Y,inverse(Y)),
inference(subst,[],[refute_0_1985:[bind(X_55,$fot(Y))]]) ).
cnf(refute_0_3444,plain,
( inverse(n1) != multiply(Y,inverse(Y))
| multiply(Y,inverse(Y)) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(Y,inverse(Y))))]]) ).
cnf(refute_0_3445,plain,
multiply(Y,inverse(Y)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(Y,inverse(Y))) )],[refute_0_3443,refute_0_3444]) ).
cnf(refute_0_3446,plain,
( multiply(Y,inverse(Y)) != inverse(n1)
| multiply(inverse(Y),add(Y,Z)) != add(multiply(Y,inverse(Y)),multiply(Z,inverse(Y)))
| multiply(inverse(Y),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),add(Y,Z)),add(multiply(Y,inverse(Y)),multiply(Z,inverse(Y)))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_3447,plain,
( multiply(inverse(Y),add(Y,Z)) != add(multiply(Y,inverse(Y)),multiply(Z,inverse(Y)))
| multiply(inverse(Y),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(Y)),inverse(n1)) )],[refute_0_3445,refute_0_3446]) ).
cnf(refute_0_3448,plain,
multiply(inverse(Y),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(Y,Z)),add(multiply(Y,inverse(Y)),multiply(Z,inverse(Y)))) )],[refute_0_3442,refute_0_3447]) ).
cnf(refute_0_3449,plain,
( pixley(inverse(n1),X_243,Z) != add(inverse(n1),multiply(Z,inverse(X_243)))
| add(inverse(n1),multiply(Z,inverse(X_243))) = pixley(inverse(n1),X_243,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(n1),X_243,Z))),bind(Y0,$fot(add(inverse(n1),multiply(Z,inverse(X_243)))))]]) ).
cnf(refute_0_3450,plain,
add(inverse(n1),multiply(Z,inverse(X_243))) = pixley(inverse(n1),X_243,Z),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_243,Z),add(inverse(n1),multiply(Z,inverse(X_243)))) )],[refute_0_2163,refute_0_3449]) ).
cnf(refute_0_3451,plain,
add(inverse(n1),multiply(Z,inverse(Y))) = pixley(inverse(n1),Y,Z),
inference(subst,[],[refute_0_3450:[bind(X_243,$fot(Y))]]) ).
cnf(refute_0_3452,plain,
( multiply(inverse(Y),add(Y,Z)) != add(inverse(n1),multiply(Z,inverse(Y)))
| add(inverse(n1),multiply(Z,inverse(Y))) != pixley(inverse(n1),Y,Z)
| multiply(inverse(Y),add(Y,Z)) = pixley(inverse(n1),Y,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),add(Y,Z)),pixley(inverse(n1),Y,Z)) ),[0],$fot(add(inverse(n1),multiply(Z,inverse(Y))))]]) ).
cnf(refute_0_3453,plain,
( multiply(inverse(Y),add(Y,Z)) != add(inverse(n1),multiply(Z,inverse(Y)))
| multiply(inverse(Y),add(Y,Z)) = pixley(inverse(n1),Y,Z) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,inverse(Y))),pixley(inverse(n1),Y,Z)) )],[refute_0_3451,refute_0_3452]) ).
cnf(refute_0_3454,plain,
multiply(inverse(Y),add(Y,Z)) = pixley(inverse(n1),Y,Z),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(Y,Z)),add(inverse(n1),multiply(Z,inverse(Y)))) )],[refute_0_3448,refute_0_3453]) ).
cnf(refute_0_3455,plain,
( multiply(inverse(Y),add(Y,Z)) != pixley(inverse(n1),Y,Z)
| pixley(inverse(n1),Y,Z) != multiply(inverse(Y),Z)
| multiply(inverse(Y),add(Y,Z)) = multiply(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),add(Y,Z)),multiply(inverse(Y),Z)) ),[0],$fot(pixley(inverse(n1),Y,Z))]]) ).
cnf(refute_0_3456,plain,
( multiply(inverse(Y),add(Y,Z)) != pixley(inverse(n1),Y,Z)
| multiply(inverse(Y),add(Y,Z)) = multiply(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),Z)) )],[refute_0_2170,refute_0_3455]) ).
cnf(refute_0_3457,plain,
multiply(inverse(Y),add(Y,Z)) = multiply(inverse(Y),Z),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(Y,Z)),pixley(inverse(n1),Y,Z)) )],[refute_0_3454,refute_0_3456]) ).
cnf(refute_0_3458,plain,
multiply(inverse(X_377),add(X_377,X_407)) = multiply(inverse(X_377),X_407),
inference(subst,[],[refute_0_3457:[bind(Y,$fot(X_377)),bind(Z,$fot(X_407))]]) ).
cnf(refute_0_3459,plain,
multiply(add(X_377,X_407),inverse(X_377)) = multiply(inverse(X_377),add(X_377,X_407)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(inverse(X_377))),bind(Y,$fot(add(X_377,X_407)))]]) ).
cnf(refute_0_3460,plain,
( multiply(add(X_377,X_407),inverse(X_377)) != multiply(inverse(X_377),add(X_377,X_407))
| multiply(inverse(X_377),add(X_377,X_407)) != multiply(inverse(X_377),X_407)
| multiply(add(X_377,X_407),inverse(X_377)) = multiply(inverse(X_377),X_407) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_377,X_407),inverse(X_377)))),bind(Y0,$fot(multiply(inverse(X_377),add(X_377,X_407)))),bind(Z0,$fot(multiply(inverse(X_377),X_407)))]]) ).
cnf(refute_0_3461,plain,
( multiply(inverse(X_377),add(X_377,X_407)) != multiply(inverse(X_377),X_407)
| multiply(add(X_377,X_407),inverse(X_377)) = multiply(inverse(X_377),X_407) ),
inference(resolve,[$cnf( $equal(multiply(add(X_377,X_407),inverse(X_377)),multiply(inverse(X_377),add(X_377,X_407))) )],[refute_0_3459,refute_0_3460]) ).
cnf(refute_0_3462,plain,
multiply(add(X_377,X_407),inverse(X_377)) = multiply(inverse(X_377),X_407),
inference(resolve,[$cnf( $equal(multiply(inverse(X_377),add(X_377,X_407)),multiply(inverse(X_377),X_407)) )],[refute_0_3458,refute_0_3461]) ).
cnf(refute_0_3463,plain,
add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)),
introduced(tautology,[refl,[$fot(add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)))]]) ).
cnf(refute_0_3464,plain,
( multiply(add(X_377,X_407),inverse(X_377)) != multiply(inverse(X_377),X_407)
| add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))
| add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))) ),[1,0],$fot(multiply(inverse(X_377),X_407))]]) ).
cnf(refute_0_3465,plain,
( multiply(add(X_377,X_407),inverse(X_377)) != multiply(inverse(X_377),X_407)
| add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))) )],[refute_0_3463,refute_0_3464]) ).
cnf(refute_0_3466,plain,
add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),multiply(X_590,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_377,X_407),inverse(X_377)),multiply(inverse(X_377),X_407)) )],[refute_0_3462,refute_0_3465]) ).
cnf(refute_0_3467,plain,
( add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) != add(multiply(inverse(X_377),X_407),multiply(X_590,n1))
| add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) != add(multiply(inverse(X_377),X_407),X_590)
| add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),X_590) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)))),bind(Y0,$fot(add(multiply(inverse(X_377),X_407),multiply(X_590,n1)))),bind(Z0,$fot(add(multiply(inverse(X_377),X_407),X_590)))]]) ).
cnf(refute_0_3468,plain,
( add(multiply(inverse(X_377),X_407),multiply(X_590,n1)) != add(multiply(inverse(X_377),X_407),X_590)
| add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),X_590) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)),add(multiply(inverse(X_377),X_407),multiply(X_590,n1))) )],[refute_0_3466,refute_0_3467]) ).
cnf(refute_0_3469,plain,
add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) = add(multiply(inverse(X_377),X_407),X_590),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_377),X_407),multiply(X_590,n1)),add(multiply(inverse(X_377),X_407),X_590)) )],[refute_0_3441,refute_0_3468]) ).
cnf(refute_0_3470,plain,
( add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)) != add(multiply(inverse(X_377),X_407),X_590)
| pixley(add(X_377,X_407),X_377,X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))
| pixley(add(X_377,X_407),X_377,X_590) = add(multiply(inverse(X_377),X_407),X_590) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_377,X_407),X_377,X_590),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))) ),[1],$fot(add(multiply(inverse(X_377),X_407),X_590))]]) ).
cnf(refute_0_3471,plain,
( pixley(add(X_377,X_407),X_377,X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))
| pixley(add(X_377,X_407),X_377,X_590) = add(multiply(inverse(X_377),X_407),X_590) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1)),add(multiply(inverse(X_377),X_407),X_590)) )],[refute_0_3469,refute_0_3470]) ).
cnf(refute_0_3472,plain,
( pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590) != add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))
| pixley(add(X_377,X_407),X_377,X_590) = add(multiply(inverse(X_377),X_407),X_590) ),
inference(resolve,[$cnf( $equal(pixley(add(X_377,X_407),X_377,X_590),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))) )],[refute_0_3436,refute_0_3471]) ).
cnf(refute_0_3473,plain,
pixley(add(X_377,X_407),X_377,X_590) = add(multiply(inverse(X_377),X_407),X_590),
inference(resolve,[$cnf( $equal(pixley(add(X_377,X_407),inverse(inverse(X_377)),X_590),add(multiply(add(X_377,X_407),inverse(X_377)),multiply(X_590,n1))) )],[refute_0_3429,refute_0_3472]) ).
cnf(refute_0_3474,plain,
pixley(add(Y,X_605),Y,Y) = add(multiply(inverse(Y),X_605),Y),
inference(subst,[],[refute_0_3473:[bind(X_377,$fot(Y)),bind(X_407,$fot(X_605)),bind(X_590,$fot(Y))]]) ).
cnf(refute_0_3475,plain,
( add(multiply(inverse(Y),X_605),Y) != add(X_605,Y)
| pixley(add(Y,X_605),Y,Y) != add(multiply(inverse(Y),X_605),Y)
| pixley(add(Y,X_605),Y,Y) = add(X_605,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(Y,X_605),Y,Y))),bind(Y0,$fot(add(multiply(inverse(Y),X_605),Y))),bind(Z0,$fot(add(X_605,Y)))]]) ).
cnf(refute_0_3476,plain,
( add(multiply(inverse(Y),X_605),Y) != add(X_605,Y)
| pixley(add(Y,X_605),Y,Y) = add(X_605,Y) ),
inference(resolve,[$cnf( $equal(pixley(add(Y,X_605),Y,Y),add(multiply(inverse(Y),X_605),Y)) )],[refute_0_3474,refute_0_3475]) ).
cnf(refute_0_3477,plain,
pixley(add(Y,X_605),Y,Y) = add(X_605,Y),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),X_605),Y),add(X_605,Y)) )],[refute_0_3418,refute_0_3476]) ).
cnf(refute_0_3478,plain,
pixley(add(X_303,X_302),X_301,X_302) = add(multiply(add(X_303,X_302),inverse(X_301)),X_302),
inference(subst,[],[refute_0_2709:[bind(Y,$fot(X_301)),bind(Z,$fot(X_302)),bind(X_37,$fot(X_303))]]) ).
cnf(refute_0_3479,plain,
multiply(inverse(X_301),add(X_303,X_302)) = multiply(add(X_303,X_302),inverse(X_301)),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(add(X_303,X_302))),bind(X_58,$fot(inverse(X_301)))]]) ).
cnf(refute_0_3480,plain,
( multiply(inverse(X_301),add(X_303,X_302)) != multiply(add(X_303,X_302),inverse(X_301))
| multiply(add(X_303,X_302),inverse(X_301)) = multiply(inverse(X_301),add(X_303,X_302)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_301),add(X_303,X_302)))),bind(Y0,$fot(multiply(add(X_303,X_302),inverse(X_301))))]]) ).
cnf(refute_0_3481,plain,
multiply(add(X_303,X_302),inverse(X_301)) = multiply(inverse(X_301),add(X_303,X_302)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_301),add(X_303,X_302)),multiply(add(X_303,X_302),inverse(X_301))) )],[refute_0_3479,refute_0_3480]) ).
cnf(refute_0_3482,plain,
( multiply(add(X_303,X_302),inverse(X_301)) != multiply(inverse(X_301),add(X_303,X_302))
| pixley(add(X_303,X_302),X_301,X_302) != add(multiply(add(X_303,X_302),inverse(X_301)),X_302)
| pixley(add(X_303,X_302),X_301,X_302) = add(multiply(inverse(X_301),add(X_303,X_302)),X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),add(multiply(add(X_303,X_302),inverse(X_301)),X_302)) ),[1,0],$fot(multiply(inverse(X_301),add(X_303,X_302)))]]) ).
cnf(refute_0_3483,plain,
( pixley(add(X_303,X_302),X_301,X_302) != add(multiply(add(X_303,X_302),inverse(X_301)),X_302)
| pixley(add(X_303,X_302),X_301,X_302) = add(multiply(inverse(X_301),add(X_303,X_302)),X_302) ),
inference(resolve,[$cnf( $equal(multiply(add(X_303,X_302),inverse(X_301)),multiply(inverse(X_301),add(X_303,X_302))) )],[refute_0_3481,refute_0_3482]) ).
cnf(refute_0_3484,plain,
pixley(add(X_303,X_302),X_301,X_302) = add(multiply(inverse(X_301),add(X_303,X_302)),X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),add(multiply(add(X_303,X_302),inverse(X_301)),X_302)) )],[refute_0_3478,refute_0_3483]) ).
cnf(refute_0_3485,plain,
add(multiply(inverse(X_301),add(X_303,X_302)),X_302) = multiply(add(X_303,X_302),add(inverse(X_301),X_302)),
inference(subst,[],[refute_0_2741:[bind(Y,$fot(inverse(X_301))),bind(Z,$fot(X_302)),bind(X_250,$fot(X_303))]]) ).
cnf(refute_0_3486,plain,
( add(multiply(inverse(X_301),add(X_303,X_302)),X_302) != multiply(add(X_303,X_302),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) != add(multiply(inverse(X_301),add(X_303,X_302)),X_302)
| pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_303,X_302),add(inverse(X_301),X_302)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),add(multiply(inverse(X_301),add(X_303,X_302)),X_302)) ),[1],$fot(multiply(add(X_303,X_302),add(inverse(X_301),X_302)))]]) ).
cnf(refute_0_3487,plain,
( pixley(add(X_303,X_302),X_301,X_302) != add(multiply(inverse(X_301),add(X_303,X_302)),X_302)
| pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_303,X_302),add(inverse(X_301),X_302)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_301),add(X_303,X_302)),X_302),multiply(add(X_303,X_302),add(inverse(X_301),X_302))) )],[refute_0_3485,refute_0_3486]) ).
cnf(refute_0_3488,plain,
pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_303,X_302),add(inverse(X_301),X_302)),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),add(multiply(inverse(X_301),add(X_303,X_302)),X_302)) )],[refute_0_3484,refute_0_3487]) ).
cnf(refute_0_3489,plain,
pixley(add(add(X_302,X_605),X_302),X_301,X_302) = multiply(add(add(X_302,X_605),X_302),add(inverse(X_301),X_302)),
inference(subst,[],[refute_0_3488:[bind(X_303,$fot(add(X_302,X_605)))]]) ).
cnf(refute_0_3490,plain,
add(X_302,X_605) = add(add(X_302,X_605),X_302),
inference(subst,[],[refute_0_3411:[bind(Y,$fot(X_302)),bind(X_603,$fot(X_605))]]) ).
cnf(refute_0_3491,plain,
( add(X_302,X_605) != add(add(X_302,X_605),X_302)
| add(add(X_302,X_605),X_302) = add(X_302,X_605) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_302,X_605))),bind(Y0,$fot(add(add(X_302,X_605),X_302)))]]) ).
cnf(refute_0_3492,plain,
add(add(X_302,X_605),X_302) = add(X_302,X_605),
inference(resolve,[$cnf( $equal(add(X_302,X_605),add(add(X_302,X_605),X_302)) )],[refute_0_3490,refute_0_3491]) ).
cnf(refute_0_3493,plain,
( add(add(X_302,X_605),X_302) != add(X_302,X_605)
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) != multiply(add(add(X_302,X_605),X_302),add(inverse(X_301),X_302))
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) = multiply(add(X_302,X_605),add(inverse(X_301),X_302)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),multiply(add(add(X_302,X_605),X_302),add(inverse(X_301),X_302))) ),[1,0],$fot(add(X_302,X_605))]]) ).
cnf(refute_0_3494,plain,
( pixley(add(add(X_302,X_605),X_302),X_301,X_302) != multiply(add(add(X_302,X_605),X_302),add(inverse(X_301),X_302))
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) = multiply(add(X_302,X_605),add(inverse(X_301),X_302)) ),
inference(resolve,[$cnf( $equal(add(add(X_302,X_605),X_302),add(X_302,X_605)) )],[refute_0_3492,refute_0_3493]) ).
cnf(refute_0_3495,plain,
pixley(add(add(X_302,X_605),X_302),X_301,X_302) = multiply(add(X_302,X_605),add(inverse(X_301),X_302)),
inference(resolve,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),multiply(add(add(X_302,X_605),X_302),add(inverse(X_301),X_302))) )],[refute_0_3489,refute_0_3494]) ).
cnf(refute_0_3496,plain,
pixley(add(add(X_302,X_605),X_302),X_301,X_302) = pixley(add(add(X_302,X_605),X_302),X_301,X_302),
introduced(tautology,[refl,[$fot(pixley(add(add(X_302,X_605),X_302),X_301,X_302))]]) ).
cnf(refute_0_3497,plain,
( add(add(X_302,X_605),X_302) != add(X_302,X_605)
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) != pixley(add(add(X_302,X_605),X_302),X_301,X_302)
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) = pixley(add(X_302,X_605),X_301,X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),pixley(add(add(X_302,X_605),X_302),X_301,X_302)) ),[1,0],$fot(add(X_302,X_605))]]) ).
cnf(refute_0_3498,plain,
( add(add(X_302,X_605),X_302) != add(X_302,X_605)
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) = pixley(add(X_302,X_605),X_301,X_302) ),
inference(resolve,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),pixley(add(add(X_302,X_605),X_302),X_301,X_302)) )],[refute_0_3496,refute_0_3497]) ).
cnf(refute_0_3499,plain,
pixley(add(add(X_302,X_605),X_302),X_301,X_302) = pixley(add(X_302,X_605),X_301,X_302),
inference(resolve,[$cnf( $equal(add(add(X_302,X_605),X_302),add(X_302,X_605)) )],[refute_0_3492,refute_0_3498]) ).
cnf(refute_0_3500,plain,
( pixley(add(add(X_302,X_605),X_302),X_301,X_302) != multiply(add(X_302,X_605),add(inverse(X_301),X_302))
| pixley(add(add(X_302,X_605),X_302),X_301,X_302) != pixley(add(X_302,X_605),X_301,X_302)
| pixley(add(X_302,X_605),X_301,X_302) = multiply(add(X_302,X_605),add(inverse(X_301),X_302)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),multiply(add(X_302,X_605),add(inverse(X_301),X_302))) ),[0],$fot(pixley(add(X_302,X_605),X_301,X_302))]]) ).
cnf(refute_0_3501,plain,
( pixley(add(add(X_302,X_605),X_302),X_301,X_302) != multiply(add(X_302,X_605),add(inverse(X_301),X_302))
| pixley(add(X_302,X_605),X_301,X_302) = multiply(add(X_302,X_605),add(inverse(X_301),X_302)) ),
inference(resolve,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),pixley(add(X_302,X_605),X_301,X_302)) )],[refute_0_3499,refute_0_3500]) ).
cnf(refute_0_3502,plain,
pixley(add(X_302,X_605),X_301,X_302) = multiply(add(X_302,X_605),add(inverse(X_301),X_302)),
inference(resolve,[$cnf( $equal(pixley(add(add(X_302,X_605),X_302),X_301,X_302),multiply(add(X_302,X_605),add(inverse(X_301),X_302))) )],[refute_0_3495,refute_0_3501]) ).
cnf(refute_0_3503,plain,
( pixley(add(X_302,X_605),X_301,X_302) != multiply(add(X_302,X_605),add(inverse(X_301),X_302))
| multiply(add(X_302,X_605),add(inverse(X_301),X_302)) = pixley(add(X_302,X_605),X_301,X_302) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_302,X_605),X_301,X_302))),bind(Y0,$fot(multiply(add(X_302,X_605),add(inverse(X_301),X_302))))]]) ).
cnf(refute_0_3504,plain,
multiply(add(X_302,X_605),add(inverse(X_301),X_302)) = pixley(add(X_302,X_605),X_301,X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_302,X_605),X_301,X_302),multiply(add(X_302,X_605),add(inverse(X_301),X_302))) )],[refute_0_3502,refute_0_3503]) ).
cnf(refute_0_3505,plain,
multiply(add(Y,X_605),add(inverse(Y),Y)) = pixley(add(Y,X_605),Y,Y),
inference(subst,[],[refute_0_3504:[bind(X_301,$fot(Y)),bind(X_302,$fot(Y))]]) ).
cnf(refute_0_3506,plain,
( multiply(add(Y,X_605),add(inverse(Y),Y)) != pixley(add(Y,X_605),Y,Y)
| pixley(add(Y,X_605),Y,Y) != add(X_605,Y)
| multiply(add(Y,X_605),add(inverse(Y),Y)) = add(X_605,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(Y,X_605),add(inverse(Y),Y)))),bind(Y0,$fot(pixley(add(Y,X_605),Y,Y))),bind(Z0,$fot(add(X_605,Y)))]]) ).
cnf(refute_0_3507,plain,
( pixley(add(Y,X_605),Y,Y) != add(X_605,Y)
| multiply(add(Y,X_605),add(inverse(Y),Y)) = add(X_605,Y) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_605),add(inverse(Y),Y)),pixley(add(Y,X_605),Y,Y)) )],[refute_0_3505,refute_0_3506]) ).
cnf(refute_0_3508,plain,
multiply(add(Y,X_605),add(inverse(Y),Y)) = add(X_605,Y),
inference(resolve,[$cnf( $equal(pixley(add(Y,X_605),Y,Y),add(X_605,Y)) )],[refute_0_3477,refute_0_3507]) ).
cnf(refute_0_3509,plain,
( multiply(add(Z,X_407),add(Y,Z)) != add(multiply(Y,add(Z,X_407)),Z)
| add(multiply(Y,add(Z,X_407)),Z) = multiply(add(Z,X_407),add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(Z,X_407),add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,add(Z,X_407)),Z)))]]) ).
cnf(refute_0_3510,plain,
add(multiply(Y,add(Z,X_407)),Z) = multiply(add(Z,X_407),add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(add(Z,X_407),add(Y,Z)),add(multiply(Y,add(Z,X_407)),Z)) )],[refute_0_3341,refute_0_3509]) ).
cnf(refute_0_3511,plain,
add(multiply(inverse(Y),add(Y,X_605)),Y) = multiply(add(Y,X_605),add(inverse(Y),Y)),
inference(subst,[],[refute_0_3510:[bind(Y,$fot(inverse(Y))),bind(Z,$fot(Y)),bind(X_407,$fot(X_605))]]) ).
cnf(refute_0_3512,plain,
( multiply(add(Y,X_605),add(inverse(Y),Y)) != add(X_605,Y)
| add(multiply(inverse(Y),add(Y,X_605)),Y) != multiply(add(Y,X_605),add(inverse(Y),Y))
| add(multiply(inverse(Y),add(Y,X_605)),Y) = add(X_605,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(Y),add(Y,X_605)),Y))),bind(Y0,$fot(multiply(add(Y,X_605),add(inverse(Y),Y)))),bind(Z0,$fot(add(X_605,Y)))]]) ).
cnf(refute_0_3513,plain,
( multiply(add(Y,X_605),add(inverse(Y),Y)) != add(X_605,Y)
| add(multiply(inverse(Y),add(Y,X_605)),Y) = add(X_605,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_605)),Y),multiply(add(Y,X_605),add(inverse(Y),Y))) )],[refute_0_3511,refute_0_3512]) ).
cnf(refute_0_3514,plain,
add(multiply(inverse(Y),add(Y,X_605)),Y) = add(X_605,Y),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_605),add(inverse(Y),Y)),add(X_605,Y)) )],[refute_0_3508,refute_0_3513]) ).
cnf(refute_0_3515,plain,
( add(multiply(inverse(Y),add(Y,X_605)),Y) != add(Y,X_605)
| add(multiply(inverse(Y),add(Y,X_605)),Y) != add(X_605,Y)
| add(X_605,Y) = add(Y,X_605) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_605)),Y),add(Y,X_605)) ),[0],$fot(add(X_605,Y))]]) ).
cnf(refute_0_3516,plain,
( add(multiply(inverse(Y),add(Y,X_605)),Y) != add(Y,X_605)
| add(X_605,Y) = add(Y,X_605) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_605)),Y),add(X_605,Y)) )],[refute_0_3514,refute_0_3515]) ).
cnf(refute_0_3517,plain,
add(X_605,Y) = add(Y,X_605),
inference(resolve,[$cnf( $equal(add(multiply(inverse(Y),add(Y,X_605)),Y),add(Y,X_605)) )],[refute_0_3417,refute_0_3516]) ).
cnf(refute_0_3518,plain,
add(X,X_262) = add(X_262,X),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_262)),bind(X_605,$fot(X))]]) ).
cnf(refute_0_3519,plain,
( add(X,X_262) != add(X_262,X)
| pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X,X_262)))
| pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X_262,X))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X,X_262)))) ),[1,1,1],$fot(add(X_262,X))]]) ).
cnf(refute_0_3520,plain,
( pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X,X_262)))
| pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X_262,X))) ),
inference(resolve,[$cnf( $equal(add(X,X_262),add(X_262,X)) )],[refute_0_3518,refute_0_3519]) ).
cnf(refute_0_3521,plain,
pixley(X,inverse(X_262),Z) = add(multiply(X,X_262),multiply(Z,add(X_262,X))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X,X_262)))) )],[refute_0_2222,refute_0_3520]) ).
cnf(refute_0_3522,plain,
pixley(X_589,inverse(X_591),X_590) = add(multiply(X_589,X_591),multiply(X_590,add(X_589,X_591))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(X_589)),bind(Z,$fot(X_590)),bind(X_262,$fot(X_591))]]) ).
cnf(refute_0_3523,plain,
multiply(X_591,X_589) = multiply(X_589,X_591),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_589)),bind(X_58,$fot(X_591))]]) ).
cnf(refute_0_3524,plain,
( multiply(X_591,X_589) != multiply(X_589,X_591)
| multiply(X_589,X_591) = multiply(X_591,X_589) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_591,X_589))),bind(Y0,$fot(multiply(X_589,X_591)))]]) ).
cnf(refute_0_3525,plain,
multiply(X_589,X_591) = multiply(X_591,X_589),
inference(resolve,[$cnf( $equal(multiply(X_591,X_589),multiply(X_589,X_591)) )],[refute_0_3523,refute_0_3524]) ).
cnf(refute_0_3526,plain,
( multiply(X_589,X_591) != multiply(X_591,X_589)
| pixley(X_589,inverse(X_591),X_590) != add(multiply(X_589,X_591),multiply(X_590,add(X_589,X_591)))
| pixley(X_589,inverse(X_591),X_590) = add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(X_591),X_590),add(multiply(X_589,X_591),multiply(X_590,add(X_589,X_591)))) ),[1,0],$fot(multiply(X_591,X_589))]]) ).
cnf(refute_0_3527,plain,
( pixley(X_589,inverse(X_591),X_590) != add(multiply(X_589,X_591),multiply(X_590,add(X_589,X_591)))
| pixley(X_589,inverse(X_591),X_590) = add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591))) ),
inference(resolve,[$cnf( $equal(multiply(X_589,X_591),multiply(X_591,X_589)) )],[refute_0_3525,refute_0_3526]) ).
cnf(refute_0_3528,plain,
pixley(X_589,inverse(X_591),X_590) = add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591))),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),X_590),add(multiply(X_589,X_591),multiply(X_590,add(X_589,X_591)))) )],[refute_0_3522,refute_0_3527]) ).
cnf(refute_0_3529,plain,
( pixley(X_589,inverse(X_591),X_590) != add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591)))
| add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591))) = pixley(X_589,inverse(X_591),X_590) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_589,inverse(X_591),X_590))),bind(Y0,$fot(add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591)))))]]) ).
cnf(refute_0_3530,plain,
add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591))) = pixley(X_589,inverse(X_591),X_590),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),X_590),add(multiply(X_591,X_589),multiply(X_590,add(X_589,X_591)))) )],[refute_0_3528,refute_0_3529]) ).
cnf(refute_0_3531,plain,
add(multiply(X,X_262),multiply(Z,add(X_262,X))) = pixley(X_262,inverse(X),Z),
inference(subst,[],[refute_0_3530:[bind(X_589,$fot(X_262)),bind(X_590,$fot(Z)),bind(X_591,$fot(X))]]) ).
cnf(refute_0_3532,plain,
( add(multiply(X,X_262),multiply(Z,add(X_262,X))) != pixley(X_262,inverse(X),Z)
| pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X_262,X)))
| pixley(X,inverse(X_262),Z) = pixley(X_262,inverse(X),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X_262,X)))) ),[1],$fot(pixley(X_262,inverse(X),Z))]]) ).
cnf(refute_0_3533,plain,
( pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X_262,X)))
| pixley(X,inverse(X_262),Z) = pixley(X_262,inverse(X),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_262),multiply(Z,add(X_262,X))),pixley(X_262,inverse(X),Z)) )],[refute_0_3531,refute_0_3532]) ).
cnf(refute_0_3534,plain,
pixley(X,inverse(X_262),Z) = pixley(X_262,inverse(X),Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X_262,X)))) )],[refute_0_3521,refute_0_3533]) ).
cnf(refute_0_3535,plain,
( pixley(X,inverse(X_262),Z) != pixley(X_262,inverse(X),Z)
| pixley(X_262,inverse(X),Z) = pixley(X,inverse(X_262),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,inverse(X_262),Z))),bind(Y0,$fot(pixley(X_262,inverse(X),Z)))]]) ).
cnf(refute_0_3536,plain,
pixley(X_262,inverse(X),Z) = pixley(X,inverse(X_262),Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),Z),pixley(X_262,inverse(X),Z)) )],[refute_0_3534,refute_0_3535]) ).
cnf(refute_0_3537,plain,
pixley(multiply(X_401,X_399),inverse(X_399),X_400) = pixley(X_399,inverse(multiply(X_401,X_399)),X_400),
inference(subst,[],[refute_0_3536:[bind(X,$fot(X_399)),bind(Z,$fot(X_400)),bind(X_262,$fot(multiply(X_401,X_399)))]]) ).
cnf(refute_0_3538,plain,
( pixley(X_399,inverse(multiply(X_401,X_399)),X_400) != multiply(X_399,add(multiply(X_401,X_399),X_400))
| pixley(multiply(X_401,X_399),inverse(X_399),X_400) != pixley(X_399,inverse(multiply(X_401,X_399)),X_400)
| pixley(multiply(X_401,X_399),inverse(X_399),X_400) = multiply(X_399,add(multiply(X_401,X_399),X_400)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(X_401,X_399),inverse(X_399),X_400))),bind(Y0,$fot(pixley(X_399,inverse(multiply(X_401,X_399)),X_400))),bind(Z0,$fot(multiply(X_399,add(multiply(X_401,X_399),X_400))))]]) ).
cnf(refute_0_3539,plain,
( pixley(X_399,inverse(multiply(X_401,X_399)),X_400) != multiply(X_399,add(multiply(X_401,X_399),X_400))
| pixley(multiply(X_401,X_399),inverse(X_399),X_400) = multiply(X_399,add(multiply(X_401,X_399),X_400)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_401,X_399),inverse(X_399),X_400),pixley(X_399,inverse(multiply(X_401,X_399)),X_400)) )],[refute_0_3537,refute_0_3538]) ).
cnf(refute_0_3540,plain,
pixley(multiply(X_401,X_399),inverse(X_399),X_400) = multiply(X_399,add(multiply(X_401,X_399),X_400)),
inference(resolve,[$cnf( $equal(pixley(X_399,inverse(multiply(X_401,X_399)),X_400),multiply(X_399,add(multiply(X_401,X_399),X_400))) )],[refute_0_3334,refute_0_3539]) ).
cnf(refute_0_3541,plain,
( multiply(X_399,add(X_401,X_400)) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| pixley(multiply(X_401,X_399),inverse(X_399),X_400) != multiply(X_399,add(multiply(X_401,X_399),X_400))
| multiply(X_399,add(X_401,X_400)) = multiply(X_399,add(multiply(X_401,X_399),X_400)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_399,add(X_401,X_400)),multiply(X_399,add(multiply(X_401,X_399),X_400))) ),[0],$fot(pixley(multiply(X_401,X_399),inverse(X_399),X_400))]]) ).
cnf(refute_0_3542,plain,
( multiply(X_399,add(X_401,X_400)) != pixley(multiply(X_401,X_399),inverse(X_399),X_400)
| multiply(X_399,add(X_401,X_400)) = multiply(X_399,add(multiply(X_401,X_399),X_400)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_401,X_399),inverse(X_399),X_400),multiply(X_399,add(multiply(X_401,X_399),X_400))) )],[refute_0_3540,refute_0_3541]) ).
cnf(refute_0_3543,plain,
multiply(X_399,add(X_401,X_400)) = multiply(X_399,add(multiply(X_401,X_399),X_400)),
inference(resolve,[$cnf( $equal(multiply(X_399,add(X_401,X_400)),pixley(multiply(X_401,X_399),inverse(X_399),X_400)) )],[refute_0_3304,refute_0_3542]) ).
cnf(refute_0_3544,plain,
( multiply(X_399,add(X_401,X_400)) != multiply(X_399,add(multiply(X_401,X_399),X_400))
| multiply(X_399,add(multiply(X_401,X_399),X_400)) = multiply(X_399,add(X_401,X_400)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_399,add(X_401,X_400)))),bind(Y0,$fot(multiply(X_399,add(multiply(X_401,X_399),X_400))))]]) ).
cnf(refute_0_3545,plain,
multiply(X_399,add(multiply(X_401,X_399),X_400)) = multiply(X_399,add(X_401,X_400)),
inference(resolve,[$cnf( $equal(multiply(X_399,add(X_401,X_400)),multiply(X_399,add(multiply(X_401,X_399),X_400))) )],[refute_0_3543,refute_0_3544]) ).
cnf(refute_0_3546,plain,
multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) = multiply(inverse(Y),add(X_82,Z)),
inference(subst,[],[refute_0_3545:[bind(X_399,$fot(inverse(Y))),bind(X_400,$fot(Z)),bind(X_401,$fot(X_82))]]) ).
cnf(refute_0_3547,plain,
( multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) != multiply(inverse(Y),add(X_82,Z))
| pixley(multiply(X_82,inverse(Y)),Y,Z) != multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = multiply(inverse(Y),add(X_82,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))) ),[1],$fot(multiply(inverse(Y),add(X_82,Z)))]]) ).
cnf(refute_0_3548,plain,
( pixley(multiply(X_82,inverse(Y)),Y,Z) != multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))
| pixley(multiply(X_82,inverse(Y)),Y,Z) = multiply(inverse(Y),add(X_82,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)),multiply(inverse(Y),add(X_82,Z))) )],[refute_0_3546,refute_0_3547]) ).
cnf(refute_0_3549,plain,
pixley(multiply(X_82,inverse(Y)),Y,Z) = multiply(inverse(Y),add(X_82,Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))) )],[refute_0_3162,refute_0_3548]) ).
cnf(refute_0_3550,plain,
pixley(multiply(X_776,inverse(X_774)),X_774,X_775) = multiply(inverse(X_774),add(X_776,X_775)),
inference(subst,[],[refute_0_3549:[bind(Y,$fot(X_774)),bind(Z,$fot(X_775)),bind(X_82,$fot(X_776))]]) ).
cnf(refute_0_3551,plain,
add(X_775,X_776) = add(X_776,X_775),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_776)),bind(X_605,$fot(X_775))]]) ).
cnf(refute_0_3552,plain,
( add(X_775,X_776) != add(X_776,X_775)
| add(X_776,X_775) = add(X_775,X_776) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_775,X_776))),bind(Y0,$fot(add(X_776,X_775)))]]) ).
cnf(refute_0_3553,plain,
add(X_776,X_775) = add(X_775,X_776),
inference(resolve,[$cnf( $equal(add(X_775,X_776),add(X_776,X_775)) )],[refute_0_3551,refute_0_3552]) ).
cnf(refute_0_3554,plain,
( add(X_776,X_775) != add(X_775,X_776)
| pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_776,X_775))
| pixley(multiply(X_776,inverse(X_774)),X_774,X_775) = multiply(inverse(X_774),add(X_775,X_776)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_776,X_775))) ),[1,1],$fot(add(X_775,X_776))]]) ).
cnf(refute_0_3555,plain,
( pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_776,X_775))
| pixley(multiply(X_776,inverse(X_774)),X_774,X_775) = multiply(inverse(X_774),add(X_775,X_776)) ),
inference(resolve,[$cnf( $equal(add(X_776,X_775),add(X_775,X_776)) )],[refute_0_3553,refute_0_3554]) ).
cnf(refute_0_3556,plain,
pixley(multiply(X_776,inverse(X_774)),X_774,X_775) = multiply(inverse(X_774),add(X_775,X_776)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_776,X_775))) )],[refute_0_3550,refute_0_3555]) ).
cnf(refute_0_3557,plain,
( pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_775,X_776))
| pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_776,X_775))
| multiply(inverse(X_774),add(X_776,X_775)) = multiply(inverse(X_774),add(X_775,X_776)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_775,X_776))) ),[0],$fot(multiply(inverse(X_774),add(X_776,X_775)))]]) ).
cnf(refute_0_3558,plain,
( pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_775,X_776))
| multiply(inverse(X_774),add(X_776,X_775)) = multiply(inverse(X_774),add(X_775,X_776)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_776,X_775))) )],[refute_0_3550,refute_0_3557]) ).
cnf(refute_0_3559,plain,
multiply(inverse(X_774),add(X_776,X_775)) = multiply(inverse(X_774),add(X_775,X_776)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_775,X_776))) )],[refute_0_3556,refute_0_3558]) ).
cnf(refute_0_3560,plain,
multiply(inverse(X_786),add(X,X_262)) = multiply(inverse(X_786),add(X_262,X)),
inference(subst,[],[refute_0_3559:[bind(X_774,$fot(X_786)),bind(X_775,$fot(X_262)),bind(X_776,$fot(X))]]) ).
cnf(refute_0_3561,plain,
( multiply(inverse(X_786),add(X,X_262)) != multiply(inverse(X_786),add(X_262,X))
| pixley(X,inverse(X_262),inverse(X_786)) != add(multiply(X,X_262),multiply(inverse(X_786),add(X,X_262)))
| pixley(X,inverse(X_262),inverse(X_786)) = add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_262),inverse(X_786)),add(multiply(X,X_262),multiply(inverse(X_786),add(X,X_262)))) ),[1,1],$fot(multiply(inverse(X_786),add(X_262,X)))]]) ).
cnf(refute_0_3562,plain,
( pixley(X,inverse(X_262),inverse(X_786)) != add(multiply(X,X_262),multiply(inverse(X_786),add(X,X_262)))
| pixley(X,inverse(X_262),inverse(X_786)) = add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_786),add(X,X_262)),multiply(inverse(X_786),add(X_262,X))) )],[refute_0_3560,refute_0_3561]) ).
cnf(refute_0_3563,plain,
pixley(X,inverse(X_262),inverse(X_786)) = add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),inverse(X_786)),add(multiply(X,X_262),multiply(inverse(X_786),add(X,X_262)))) )],[refute_0_3128,refute_0_3562]) ).
cnf(refute_0_3564,plain,
add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X))) = pixley(X_262,inverse(X),inverse(X_786)),
inference(subst,[],[refute_0_3530:[bind(X_589,$fot(X_262)),bind(X_590,$fot(inverse(X_786))),bind(X_591,$fot(X))]]) ).
cnf(refute_0_3565,plain,
( add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X))) != pixley(X_262,inverse(X),inverse(X_786))
| pixley(X,inverse(X_262),inverse(X_786)) != add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X)))
| pixley(X,inverse(X_262),inverse(X_786)) = pixley(X_262,inverse(X),inverse(X_786)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_262),inverse(X_786)),add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X)))) ),[1],$fot(pixley(X_262,inverse(X),inverse(X_786)))]]) ).
cnf(refute_0_3566,plain,
( pixley(X,inverse(X_262),inverse(X_786)) != add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X)))
| pixley(X,inverse(X_262),inverse(X_786)) = pixley(X_262,inverse(X),inverse(X_786)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X))),pixley(X_262,inverse(X),inverse(X_786))) )],[refute_0_3564,refute_0_3565]) ).
cnf(refute_0_3567,plain,
pixley(X,inverse(X_262),inverse(X_786)) = pixley(X_262,inverse(X),inverse(X_786)),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),inverse(X_786)),add(multiply(X,X_262),multiply(inverse(X_786),add(X_262,X)))) )],[refute_0_3563,refute_0_3566]) ).
cnf(refute_0_3568,plain,
pixley(X,inverse(X_793),inverse(X_793)) = pixley(X_793,inverse(X),inverse(X_793)),
inference(subst,[],[refute_0_3567:[bind(X_262,$fot(X_793)),bind(X_786,$fot(X_793))]]) ).
cnf(refute_0_3569,plain,
( pixley(X,inverse(X_793),inverse(X_793)) != X
| pixley(X,inverse(X_793),inverse(X_793)) != pixley(X_793,inverse(X),inverse(X_793))
| pixley(X_793,inverse(X),inverse(X_793)) = X ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(X_793),inverse(X_793)),X) ),[0],$fot(pixley(X_793,inverse(X),inverse(X_793)))]]) ).
cnf(refute_0_3570,plain,
( pixley(X,inverse(X_793),inverse(X_793)) != X
| pixley(X_793,inverse(X),inverse(X_793)) = X ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_793),inverse(X_793)),pixley(X_793,inverse(X),inverse(X_793))) )],[refute_0_3568,refute_0_3569]) ).
cnf(refute_0_3571,plain,
pixley(X_793,inverse(X),inverse(X_793)) = X,
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_793),inverse(X_793)),X) )],[refute_0_3127,refute_0_3570]) ).
cnf(refute_0_3572,plain,
pixley(X_796,inverse(inverse(Y)),inverse(X_796)) = inverse(Y),
inference(subst,[],[refute_0_3571:[bind(X,$fot(inverse(Y))),bind(X_793,$fot(X_796))]]) ).
cnf(refute_0_3573,plain,
( inverse(inverse(Y)) != Y
| pixley(X_796,inverse(inverse(Y)),inverse(X_796)) != inverse(Y)
| pixley(X_796,Y,inverse(X_796)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_796,inverse(inverse(Y)),inverse(X_796)),inverse(Y)) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_3574,plain,
( pixley(X_796,inverse(inverse(Y)),inverse(X_796)) != inverse(Y)
| pixley(X_796,Y,inverse(X_796)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3573]) ).
cnf(refute_0_3575,plain,
pixley(X_796,Y,inverse(X_796)) = inverse(Y),
inference(resolve,[$cnf( $equal(pixley(X_796,inverse(inverse(Y)),inverse(X_796)),inverse(Y)) )],[refute_0_3572,refute_0_3574]) ).
cnf(refute_0_3576,plain,
pixley(X_10,multiply(X_379,X_10),inverse(X_10)) = inverse(multiply(X_379,X_10)),
inference(subst,[],[refute_0_3575:[bind(Y,$fot(multiply(X_379,X_10))),bind(X_796,$fot(X_10))]]) ).
cnf(refute_0_3577,plain,
( multiply(inverse(X_10),pixley(X_10,multiply(X_379,X_10),inverse(X_10))) != inverse(X_10)
| pixley(X_10,multiply(X_379,X_10),inverse(X_10)) != inverse(multiply(X_379,X_10))
| multiply(inverse(X_10),inverse(multiply(X_379,X_10))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),pixley(X_10,multiply(X_379,X_10),inverse(X_10))),inverse(X_10)) ),[0,1],$fot(inverse(multiply(X_379,X_10)))]]) ).
cnf(refute_0_3578,plain,
( multiply(inverse(X_10),pixley(X_10,multiply(X_379,X_10),inverse(X_10))) != inverse(X_10)
| multiply(inverse(X_10),inverse(multiply(X_379,X_10))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(pixley(X_10,multiply(X_379,X_10),inverse(X_10)),inverse(multiply(X_379,X_10))) )],[refute_0_3576,refute_0_3577]) ).
cnf(refute_0_3579,plain,
multiply(inverse(X_10),inverse(multiply(X_379,X_10))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),pixley(X_10,multiply(X_379,X_10),inverse(X_10))),inverse(X_10)) )],[refute_0_3126,refute_0_3578]) ).
cnf(refute_0_3580,plain,
multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_804,multiply(X_804,X_281)))) = inverse(multiply(X_804,X_281)),
inference(subst,[],[refute_0_3579:[bind(X_10,$fot(multiply(X_804,X_281))),bind(X_379,$fot(X_804))]]) ).
cnf(refute_0_3581,plain,
multiply(X_804,multiply(X_804,X_281)) = multiply(X_281,X_804),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_804))]]) ).
cnf(refute_0_3582,plain,
( multiply(X_804,multiply(X_804,X_281)) != multiply(X_281,X_804)
| multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_804,multiply(X_804,X_281)))) != inverse(multiply(X_804,X_281))
| multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))) = inverse(multiply(X_804,X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_804,multiply(X_804,X_281)))),inverse(multiply(X_804,X_281))) ),[0,1,0],$fot(multiply(X_281,X_804))]]) ).
cnf(refute_0_3583,plain,
( multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_804,multiply(X_804,X_281)))) != inverse(multiply(X_804,X_281))
| multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))) = inverse(multiply(X_804,X_281)) ),
inference(resolve,[$cnf( $equal(multiply(X_804,multiply(X_804,X_281)),multiply(X_281,X_804)) )],[refute_0_3581,refute_0_3582]) ).
cnf(refute_0_3584,plain,
multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))) = inverse(multiply(X_804,X_281)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_804,multiply(X_804,X_281)))),inverse(multiply(X_804,X_281))) )],[refute_0_3580,refute_0_3583]) ).
cnf(refute_0_3585,plain,
( multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))) != inverse(multiply(X_804,X_281))
| pixley(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))) ),[0,0],$fot(inverse(multiply(X_804,X_281)))]]) ).
cnf(refute_0_3586,plain,
( pixley(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))),inverse(multiply(X_804,X_281))) )],[refute_0_3584,refute_0_3585]) ).
cnf(refute_0_3587,plain,
pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))) )],[refute_0_2686,refute_0_3586]) ).
cnf(refute_0_3588,plain,
pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_886,X_887),Z) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)),
inference(subst,[],[refute_0_3549:[bind(Y,$fot(multiply(X_886,X_887))),bind(X_82,$fot(inverse(multiply(X_887,X_886))))]]) ).
cnf(refute_0_3589,plain,
multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))) = inverse(multiply(X_887,X_886)),
inference(subst,[],[refute_0_3584:[bind(X_281,$fot(X_886)),bind(X_804,$fot(X_887))]]) ).
cnf(refute_0_3590,plain,
( multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))) != inverse(multiply(X_887,X_886))
| pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_886,X_887),Z) != multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))
| pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_886,X_887),Z),multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))) ),[0,0],$fot(inverse(multiply(X_887,X_886)))]]) ).
cnf(refute_0_3591,plain,
( pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_886,X_887),Z) != multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))
| pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),inverse(multiply(X_887,X_886))) )],[refute_0_3589,refute_0_3590]) ).
cnf(refute_0_3592,plain,
pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_886,X_887),Z),multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))) )],[refute_0_3588,refute_0_3591]) ).
cnf(refute_0_3593,plain,
multiply(inverse(X_774),X_776) = multiply(X_776,inverse(X_774)),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_776)),bind(X_58,$fot(inverse(X_774)))]]) ).
cnf(refute_0_3594,plain,
( multiply(inverse(X_774),X_776) != multiply(X_776,inverse(X_774))
| multiply(X_776,inverse(X_774)) = multiply(inverse(X_774),X_776) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_774),X_776))),bind(Y0,$fot(multiply(X_776,inverse(X_774))))]]) ).
cnf(refute_0_3595,plain,
multiply(X_776,inverse(X_774)) = multiply(inverse(X_774),X_776),
inference(resolve,[$cnf( $equal(multiply(inverse(X_774),X_776),multiply(X_776,inverse(X_774))) )],[refute_0_3593,refute_0_3594]) ).
cnf(refute_0_3596,plain,
( multiply(X_776,inverse(X_774)) != multiply(inverse(X_774),X_776)
| pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_776,X_775))
| pixley(multiply(inverse(X_774),X_776),X_774,X_775) = multiply(inverse(X_774),add(X_776,X_775)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_776,X_775))) ),[0,0],$fot(multiply(inverse(X_774),X_776))]]) ).
cnf(refute_0_3597,plain,
( pixley(multiply(X_776,inverse(X_774)),X_774,X_775) != multiply(inverse(X_774),add(X_776,X_775))
| pixley(multiply(inverse(X_774),X_776),X_774,X_775) = multiply(inverse(X_774),add(X_776,X_775)) ),
inference(resolve,[$cnf( $equal(multiply(X_776,inverse(X_774)),multiply(inverse(X_774),X_776)) )],[refute_0_3595,refute_0_3596]) ).
cnf(refute_0_3598,plain,
pixley(multiply(inverse(X_774),X_776),X_774,X_775) = multiply(inverse(X_774),add(X_776,X_775)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_776,inverse(X_774)),X_774,X_775),multiply(inverse(X_774),add(X_776,X_775))) )],[refute_0_3550,refute_0_3597]) ).
cnf(refute_0_3599,plain,
pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_887,X_886),X_775) = multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)),
inference(subst,[],[refute_0_3598:[bind(X_774,$fot(multiply(X_887,X_886))),bind(X_776,$fot(inverse(multiply(X_886,X_887))))]]) ).
cnf(refute_0_3600,plain,
( multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))) != inverse(multiply(X_887,X_886))
| pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_887,X_886),X_775) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) = multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_887,X_886),X_775),multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))) ),[0,0],$fot(inverse(multiply(X_887,X_886)))]]) ).
cnf(refute_0_3601,plain,
( pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_887,X_886),X_775) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) = multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),inverse(multiply(X_887,X_886))) )],[refute_0_3589,refute_0_3600]) ).
cnf(refute_0_3602,plain,
pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) = multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(multiply(X_887,X_886)),inverse(multiply(X_886,X_887))),multiply(X_887,X_886),X_775),multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))) )],[refute_0_3599,refute_0_3601]) ).
cnf(refute_0_3603,plain,
pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) = inverse(multiply(X_887,X_886)),
inference(subst,[],[refute_0_3078:[bind(Y,$fot(multiply(X_887,X_886))),bind(Z,$fot(X_775))]]) ).
cnf(refute_0_3604,plain,
( pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) != inverse(multiply(X_887,X_886))
| inverse(multiply(X_887,X_886)) = multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775),multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))) ),[0],$fot(inverse(multiply(X_887,X_886)))]]) ).
cnf(refute_0_3605,plain,
( pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| inverse(multiply(X_887,X_886)) = multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775),inverse(multiply(X_887,X_886))) )],[refute_0_3603,refute_0_3604]) ).
cnf(refute_0_3606,plain,
( pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) != multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))
| multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) = pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z))),bind(Y0,$fot(multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))))]]) ).
cnf(refute_0_3607,plain,
multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) = pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z),multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))) )],[refute_0_3592,refute_0_3606]) ).
cnf(refute_0_3608,plain,
multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)) = pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775),
inference(subst,[],[refute_0_3607:[bind(Z,$fot(X_775)),bind(X_886,$fot(X_887)),bind(X_887,$fot(X_886))]]) ).
cnf(refute_0_3609,plain,
( multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)) != pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775)
| inverse(multiply(X_887,X_886)) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| inverse(multiply(X_887,X_886)) = pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_887,X_886)),multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))) ),[1],$fot(pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775))]]) ).
cnf(refute_0_3610,plain,
( inverse(multiply(X_887,X_886)) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| inverse(multiply(X_887,X_886)) = pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775)),pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775)) )],[refute_0_3608,refute_0_3609]) ).
cnf(refute_0_3611,plain,
( pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775) != multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))
| inverse(multiply(X_887,X_886)) = pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_887,X_886)),multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))) )],[refute_0_3605,refute_0_3610]) ).
cnf(refute_0_3612,plain,
inverse(multiply(X_887,X_886)) = pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_887,X_886),X_775),multiply(inverse(multiply(X_887,X_886)),add(inverse(multiply(X_886,X_887)),X_775))) )],[refute_0_3602,refute_0_3611]) ).
cnf(refute_0_3613,plain,
( inverse(multiply(X_887,X_886)) != pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775)
| pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775) = inverse(multiply(X_887,X_886)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_887,X_886)))),bind(Y0,$fot(pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775)))]]) ).
cnf(refute_0_3614,plain,
pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775) = inverse(multiply(X_887,X_886)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_887,X_886)),pixley(inverse(multiply(X_886,X_887)),multiply(X_887,X_886),X_775)) )],[refute_0_3612,refute_0_3613]) ).
cnf(refute_0_3615,plain,
pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) = inverse(multiply(X_886,X_887)),
inference(subst,[],[refute_0_3614:[bind(X_775,$fot(Z)),bind(X_886,$fot(X_887)),bind(X_887,$fot(X_886))]]) ).
cnf(refute_0_3616,plain,
( pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) != multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))
| pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) != inverse(multiply(X_886,X_887))
| inverse(multiply(X_886,X_887)) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z),multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))) ),[0],$fot(inverse(multiply(X_886,X_887)))]]) ).
cnf(refute_0_3617,plain,
( pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z) != multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))
| inverse(multiply(X_886,X_887)) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z),inverse(multiply(X_886,X_887))) )],[refute_0_3615,refute_0_3616]) ).
cnf(refute_0_3618,plain,
inverse(multiply(X_886,X_887)) = multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_887,X_886)),multiply(X_886,X_887),Z),multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))) )],[refute_0_3592,refute_0_3617]) ).
cnf(refute_0_3619,plain,
( inverse(multiply(X_886,X_887)) != multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))
| multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) = inverse(multiply(X_886,X_887)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_886,X_887)))),bind(Y0,$fot(multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))))]]) ).
cnf(refute_0_3620,plain,
multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z)) = inverse(multiply(X_886,X_887)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_886,X_887)),multiply(inverse(multiply(X_886,X_887)),add(inverse(multiply(X_887,X_886)),Z))) )],[refute_0_3618,refute_0_3619]) ).
cnf(refute_0_3621,plain,
multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))) = inverse(multiply(X_804,X_281)),
inference(subst,[],[refute_0_3620:[bind(Z,$fot(add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))),bind(X_886,$fot(X_804)),bind(X_887,$fot(X_281))]]) ).
cnf(refute_0_3622,plain,
pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))),
inference(subst,[],[refute_0_3549:[bind(Y,$fot(multiply(X_804,X_281))),bind(Z,$fot(add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))),bind(X_82,$fot(inverse(multiply(X_281,X_804))))]]) ).
cnf(refute_0_3623,plain,
( multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))) != inverse(multiply(X_804,X_281))
| pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))))
| pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = inverse(multiply(X_804,X_281)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))))),bind(Y0,$fot(multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))))),bind(Z0,$fot(inverse(multiply(X_804,X_281))))]]) ).
cnf(refute_0_3624,plain,
( multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))) != inverse(multiply(X_804,X_281))
| pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = inverse(multiply(X_804,X_281)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))))) )],[refute_0_3622,refute_0_3623]) ).
cnf(refute_0_3625,plain,
pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = inverse(multiply(X_804,X_281)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_804,X_281)),add(inverse(multiply(X_281,X_804)),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))),inverse(multiply(X_804,X_281))) )],[refute_0_3621,refute_0_3624]) ).
cnf(refute_0_3626,plain,
pixley(X_792,inverse(inverse(Y)),inverse(X_794)) = pixley(inverse(Y),inverse(X_792),inverse(X_794)),
inference(subst,[],[refute_0_3567:[bind(X,$fot(X_792)),bind(X_262,$fot(inverse(Y))),bind(X_786,$fot(X_794))]]) ).
cnf(refute_0_3627,plain,
( inverse(inverse(Y)) != Y
| pixley(X_792,inverse(inverse(Y)),inverse(X_794)) != pixley(inverse(Y),inverse(X_792),inverse(X_794))
| pixley(X_792,Y,inverse(X_794)) = pixley(inverse(Y),inverse(X_792),inverse(X_794)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_792,inverse(inverse(Y)),inverse(X_794)),pixley(inverse(Y),inverse(X_792),inverse(X_794))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_3628,plain,
( pixley(X_792,inverse(inverse(Y)),inverse(X_794)) != pixley(inverse(Y),inverse(X_792),inverse(X_794))
| pixley(X_792,Y,inverse(X_794)) = pixley(inverse(Y),inverse(X_792),inverse(X_794)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3627]) ).
cnf(refute_0_3629,plain,
pixley(X_792,Y,inverse(X_794)) = pixley(inverse(Y),inverse(X_792),inverse(X_794)),
inference(resolve,[$cnf( $equal(pixley(X_792,inverse(inverse(Y)),inverse(X_794)),pixley(inverse(Y),inverse(X_792),inverse(X_794))) )],[refute_0_3626,refute_0_3628]) ).
cnf(refute_0_3630,plain,
pixley(X_839,X_838,inverse(inverse(Y))) = pixley(inverse(X_838),inverse(X_839),inverse(inverse(Y))),
inference(subst,[],[refute_0_3629:[bind(Y,$fot(X_838)),bind(X_792,$fot(X_839)),bind(X_794,$fot(inverse(Y)))]]) ).
cnf(refute_0_3631,plain,
( inverse(inverse(Y)) != Y
| pixley(X_839,X_838,inverse(inverse(Y))) != pixley(inverse(X_838),inverse(X_839),inverse(inverse(Y)))
| pixley(X_839,X_838,inverse(inverse(Y))) = pixley(inverse(X_838),inverse(X_839),Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(inverse(X_838),inverse(X_839),inverse(inverse(Y)))) ),[1,2],$fot(Y)]]) ).
cnf(refute_0_3632,plain,
( pixley(X_839,X_838,inverse(inverse(Y))) != pixley(inverse(X_838),inverse(X_839),inverse(inverse(Y)))
| pixley(X_839,X_838,inverse(inverse(Y))) = pixley(inverse(X_838),inverse(X_839),Y) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3631]) ).
cnf(refute_0_3633,plain,
pixley(X_839,X_838,inverse(inverse(Y))) = pixley(inverse(X_838),inverse(X_839),Y),
inference(resolve,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(inverse(X_838),inverse(X_839),inverse(inverse(Y)))) )],[refute_0_3630,refute_0_3632]) ).
cnf(refute_0_3634,plain,
pixley(X_839,X_838,inverse(inverse(Y))) = pixley(X_839,X_838,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(pixley(X_839,X_838,inverse(inverse(Y))))]]) ).
cnf(refute_0_3635,plain,
( inverse(inverse(Y)) != Y
| pixley(X_839,X_838,inverse(inverse(Y))) != pixley(X_839,X_838,inverse(inverse(Y)))
| pixley(X_839,X_838,inverse(inverse(Y))) = pixley(X_839,X_838,Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(X_839,X_838,inverse(inverse(Y)))) ),[1,2],$fot(Y)]]) ).
cnf(refute_0_3636,plain,
( inverse(inverse(Y)) != Y
| pixley(X_839,X_838,inverse(inverse(Y))) = pixley(X_839,X_838,Y) ),
inference(resolve,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(X_839,X_838,inverse(inverse(Y)))) )],[refute_0_3634,refute_0_3635]) ).
cnf(refute_0_3637,plain,
pixley(X_839,X_838,inverse(inverse(Y))) = pixley(X_839,X_838,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3636]) ).
cnf(refute_0_3638,plain,
( pixley(X_839,X_838,inverse(inverse(Y))) != pixley(X_839,X_838,Y)
| pixley(X_839,X_838,inverse(inverse(Y))) != pixley(inverse(X_838),inverse(X_839),Y)
| pixley(X_839,X_838,Y) = pixley(inverse(X_838),inverse(X_839),Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(inverse(X_838),inverse(X_839),Y)) ),[0],$fot(pixley(X_839,X_838,Y))]]) ).
cnf(refute_0_3639,plain,
( pixley(X_839,X_838,inverse(inverse(Y))) != pixley(inverse(X_838),inverse(X_839),Y)
| pixley(X_839,X_838,Y) = pixley(inverse(X_838),inverse(X_839),Y) ),
inference(resolve,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(X_839,X_838,Y)) )],[refute_0_3637,refute_0_3638]) ).
cnf(refute_0_3640,plain,
pixley(X_839,X_838,Y) = pixley(inverse(X_838),inverse(X_839),Y),
inference(resolve,[$cnf( $equal(pixley(X_839,X_838,inverse(inverse(Y))),pixley(inverse(X_838),inverse(X_839),Y)) )],[refute_0_3633,refute_0_3639]) ).
cnf(refute_0_3641,plain,
( pixley(X_839,X_838,Y) != pixley(inverse(X_838),inverse(X_839),Y)
| pixley(inverse(X_838),inverse(X_839),Y) = pixley(X_839,X_838,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_839,X_838,Y))),bind(Y0,$fot(pixley(inverse(X_838),inverse(X_839),Y)))]]) ).
cnf(refute_0_3642,plain,
pixley(inverse(X_838),inverse(X_839),Y) = pixley(X_839,X_838,Y),
inference(resolve,[$cnf( $equal(pixley(X_839,X_838,Y),pixley(inverse(X_838),inverse(X_839),Y)) )],[refute_0_3640,refute_0_3641]) ).
cnf(refute_0_3643,plain,
pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),
inference(subst,[],[refute_0_3642:[bind(Y,$fot(add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))),bind(X_838,$fot(multiply(X_804,X_281))),bind(X_839,$fot(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))]]) ).
cnf(refute_0_3644,plain,
( pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != inverse(multiply(X_804,X_281))
| pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))
| pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = inverse(multiply(X_804,X_281)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))))),bind(Y0,$fot(pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))))),bind(Z0,$fot(inverse(multiply(X_804,X_281))))]]) ).
cnf(refute_0_3645,plain,
( pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != inverse(multiply(X_804,X_281))
| pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = inverse(multiply(X_804,X_281)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))))) )],[refute_0_3643,refute_0_3644]) ).
cnf(refute_0_3646,plain,
pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) = inverse(multiply(X_804,X_281)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),multiply(X_804,X_281),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),inverse(multiply(X_804,X_281))) )],[refute_0_3625,refute_0_3645]) ).
cnf(refute_0_3647,plain,
( pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != inverse(multiply(X_804,X_281))
| inverse(multiply(X_804,X_281)) = multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))) ),[0],$fot(inverse(multiply(X_804,X_281)))]]) ).
cnf(refute_0_3648,plain,
( pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| inverse(multiply(X_804,X_281)) = multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),inverse(multiply(X_804,X_281))) )],[refute_0_3646,refute_0_3647]) ).
cnf(refute_0_3649,plain,
multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) = inverse(multiply(X_281,X_804)),
inference(subst,[],[refute_0_3584:[bind(X_281,$fot(X_804)),bind(X_804,$fot(X_281))]]) ).
cnf(refute_0_3650,plain,
( multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) != inverse(multiply(X_281,X_804))
| inverse(multiply(X_804,X_281)) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| inverse(multiply(X_804,X_281)) = inverse(multiply(X_281,X_804)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_804,X_281)),multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))) ),[1],$fot(inverse(multiply(X_281,X_804)))]]) ).
cnf(refute_0_3651,plain,
( inverse(multiply(X_804,X_281)) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| inverse(multiply(X_804,X_281)) = inverse(multiply(X_281,X_804)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))),inverse(multiply(X_281,X_804))) )],[refute_0_3649,refute_0_3650]) ).
cnf(refute_0_3652,plain,
( pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))) != multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))
| inverse(multiply(X_804,X_281)) = inverse(multiply(X_281,X_804)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_804,X_281)),multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))) )],[refute_0_3648,refute_0_3651]) ).
cnf(refute_0_3653,plain,
inverse(multiply(X_804,X_281)) = inverse(multiply(X_281,X_804)),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_804,X_281)),inverse(multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))),add(X_1103,multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))))),multiply(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281)))) )],[refute_0_3587,refute_0_3652]) ).
cnf(refute_0_3654,plain,
( inverse(multiply(X_804,X_281)) != inverse(multiply(X_281,X_804))
| inverse(multiply(X_281,X_804)) = inverse(multiply(X_804,X_281)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_804,X_281)))),bind(Y0,$fot(inverse(multiply(X_281,X_804))))]]) ).
cnf(refute_0_3655,plain,
inverse(multiply(X_281,X_804)) = inverse(multiply(X_804,X_281)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_804,X_281)),inverse(multiply(X_281,X_804))) )],[refute_0_3653,refute_0_3654]) ).
cnf(refute_0_3656,plain,
( inverse(multiply(X_281,X_804)) != inverse(multiply(X_804,X_281))
| pixley(X_1133,inverse(multiply(X_281,X_804)),n1) != add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))
| pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_281,X_804)),n1),add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))) ),[0,1],$fot(inverse(multiply(X_804,X_281)))]]) ).
cnf(refute_0_3657,plain,
( pixley(X_1133,inverse(multiply(X_281,X_804)),n1) != add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))
| pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) )],[refute_0_3655,refute_0_3656]) ).
cnf(refute_0_3658,plain,
pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))),
inference(resolve,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_281,X_804)),n1),add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))) )],[refute_0_2282,refute_0_3657]) ).
cnf(refute_0_3659,plain,
( pixley(X_592,inverse(X_593),n1) != add(multiply(X_593,X_592),add(X_592,X_593))
| add(multiply(X_593,X_592),add(X_592,X_593)) = pixley(X_592,inverse(X_593),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_592,inverse(X_593),n1))),bind(Y0,$fot(add(multiply(X_593,X_592),add(X_592,X_593))))]]) ).
cnf(refute_0_3660,plain,
add(multiply(X_593,X_592),add(X_592,X_593)) = pixley(X_592,inverse(X_593),n1),
inference(resolve,[$cnf( $equal(pixley(X_592,inverse(X_593),n1),add(multiply(X_593,X_592),add(X_592,X_593))) )],[refute_0_2281,refute_0_3659]) ).
cnf(refute_0_3661,plain,
add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))) = pixley(X_1133,inverse(multiply(X_281,X_804)),n1),
inference(subst,[],[refute_0_3660:[bind(X_592,$fot(X_1133)),bind(X_593,$fot(multiply(X_281,X_804)))]]) ).
cnf(refute_0_3662,plain,
( add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))) != pixley(X_1133,inverse(multiply(X_281,X_804)),n1)
| pixley(X_1133,inverse(multiply(X_804,X_281)),n1) != add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))
| pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = pixley(X_1133,inverse(multiply(X_281,X_804)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_804,X_281)),n1),add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))) ),[1],$fot(pixley(X_1133,inverse(multiply(X_281,X_804)),n1))]]) ).
cnf(refute_0_3663,plain,
( pixley(X_1133,inverse(multiply(X_804,X_281)),n1) != add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))
| pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = pixley(X_1133,inverse(multiply(X_281,X_804)),n1) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804))),pixley(X_1133,inverse(multiply(X_281,X_804)),n1)) )],[refute_0_3661,refute_0_3662]) ).
cnf(refute_0_3664,plain,
pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = pixley(X_1133,inverse(multiply(X_281,X_804)),n1),
inference(resolve,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_804,X_281)),n1),add(multiply(multiply(X_281,X_804),X_1133),add(X_1133,multiply(X_281,X_804)))) )],[refute_0_3658,refute_0_3663]) ).
cnf(refute_0_3665,plain,
add(multiply(inverse(X_605),X_312),X_605) = add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)),
inference(subst,[],[refute_0_3411:[bind(Y,$fot(multiply(inverse(X_605),X_312))),bind(X_603,$fot(X_605))]]) ).
cnf(refute_0_3666,plain,
add(multiply(inverse(X_605),X_312),X_605) = add(X_312,X_605),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_605))]]) ).
cnf(refute_0_3667,plain,
( add(multiply(inverse(X_605),X_312),X_605) != add(X_312,X_605)
| add(multiply(inverse(X_605),X_312),X_605) != add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))
| add(X_312,X_605) = add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_605),X_312),X_605),add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))) ),[0],$fot(add(X_312,X_605))]]) ).
cnf(refute_0_3668,plain,
( add(multiply(inverse(X_605),X_312),X_605) != add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))
| add(X_312,X_605) = add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_605),X_312),X_605),add(X_312,X_605)) )],[refute_0_3666,refute_0_3667]) ).
cnf(refute_0_3669,plain,
add(X_312,X_605) = add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_605),X_312),X_605),add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))) )],[refute_0_3665,refute_0_3668]) ).
cnf(refute_0_3670,plain,
( add(X_605,Y) != add(Y,X_605)
| add(Y,X_605) = add(X_605,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_605,Y))),bind(Y0,$fot(add(Y,X_605)))]]) ).
cnf(refute_0_3671,plain,
add(Y,X_605) = add(X_605,Y),
inference(resolve,[$cnf( $equal(add(X_605,Y),add(Y,X_605)) )],[refute_0_3517,refute_0_3670]) ).
cnf(refute_0_3672,plain,
add(multiply(inverse(X_605),X_312),X_605) = add(X_605,multiply(inverse(X_605),X_312)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(multiply(inverse(X_605),X_312)))]]) ).
cnf(refute_0_3673,plain,
multiply(pixley(X_10,inverse(add(X_10,X_412)),n1),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))),
inference(subst,[],[refute_0_80:[bind(X_11,$fot(inverse(add(X_10,X_412)))),bind(X_12,$fot(n1))]]) ).
cnf(refute_0_3674,plain,
pixley(multiply(X_334,add(X_334,X_407)),inverse(add(X_334,X_407)),n1) = add(X_334,X_407),
inference(subst,[],[refute_0_3200:[bind(Y,$fot(add(X_334,X_407)))]]) ).
cnf(refute_0_3675,plain,
multiply(X_334,add(X_334,X_407)) = X_334,
inference(subst,[],[refute_0_2641:[bind(Z,$fot(X_407)),bind(X_26,$fot(X_334))]]) ).
cnf(refute_0_3676,plain,
( multiply(X_334,add(X_334,X_407)) != X_334
| pixley(multiply(X_334,add(X_334,X_407)),inverse(add(X_334,X_407)),n1) != add(X_334,X_407)
| pixley(X_334,inverse(add(X_334,X_407)),n1) = add(X_334,X_407) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_334,add(X_334,X_407)),inverse(add(X_334,X_407)),n1),add(X_334,X_407)) ),[0,0],$fot(X_334)]]) ).
cnf(refute_0_3677,plain,
( pixley(multiply(X_334,add(X_334,X_407)),inverse(add(X_334,X_407)),n1) != add(X_334,X_407)
| pixley(X_334,inverse(add(X_334,X_407)),n1) = add(X_334,X_407) ),
inference(resolve,[$cnf( $equal(multiply(X_334,add(X_334,X_407)),X_334) )],[refute_0_3675,refute_0_3676]) ).
cnf(refute_0_3678,plain,
pixley(X_334,inverse(add(X_334,X_407)),n1) = add(X_334,X_407),
inference(resolve,[$cnf( $equal(pixley(multiply(X_334,add(X_334,X_407)),inverse(add(X_334,X_407)),n1),add(X_334,X_407)) )],[refute_0_3674,refute_0_3677]) ).
cnf(refute_0_3679,plain,
pixley(X_10,inverse(add(X_10,X_412)),n1) = add(X_10,X_412),
inference(subst,[],[refute_0_3678:[bind(X_334,$fot(X_10)),bind(X_407,$fot(X_412))]]) ).
cnf(refute_0_3680,plain,
( multiply(pixley(X_10,inverse(add(X_10,X_412)),n1),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| pixley(X_10,inverse(add(X_10,X_412)),n1) != add(X_10,X_412)
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,inverse(add(X_10,X_412)),n1),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) ),[0,0],$fot(add(X_10,X_412))]]) ).
cnf(refute_0_3681,plain,
( multiply(pixley(X_10,inverse(add(X_10,X_412)),n1),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) ),
inference(resolve,[$cnf( $equal(pixley(X_10,inverse(add(X_10,X_412)),n1),add(X_10,X_412)) )],[refute_0_3679,refute_0_3680]) ).
cnf(refute_0_3682,plain,
multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,inverse(add(X_10,X_412)),n1),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) )],[refute_0_3673,refute_0_3681]) ).
cnf(refute_0_3683,plain,
multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))) = add(X_10,X_412),
inference(subst,[],[refute_0_1549:[bind(X,$fot(X_10)),bind(Y,$fot(add(X_10,X_412)))]]) ).
cnf(refute_0_3684,plain,
inverse(inverse(add(X_10,X_412))) = add(X_10,X_412),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(X_10,X_412)))]]) ).
cnf(refute_0_3685,plain,
add(X_10,inverse(inverse(add(X_10,X_412)))) = add(X_10,inverse(inverse(add(X_10,X_412)))),
introduced(tautology,[refl,[$fot(add(X_10,inverse(inverse(add(X_10,X_412)))))]]) ).
cnf(refute_0_3686,plain,
( add(X_10,inverse(inverse(add(X_10,X_412)))) != add(X_10,inverse(inverse(add(X_10,X_412))))
| inverse(inverse(add(X_10,X_412))) != add(X_10,X_412)
| add(X_10,inverse(inverse(add(X_10,X_412)))) = add(X_10,add(X_10,X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,inverse(inverse(add(X_10,X_412)))),add(X_10,inverse(inverse(add(X_10,X_412))))) ),[1,1],$fot(add(X_10,X_412))]]) ).
cnf(refute_0_3687,plain,
( inverse(inverse(add(X_10,X_412))) != add(X_10,X_412)
| add(X_10,inverse(inverse(add(X_10,X_412)))) = add(X_10,add(X_10,X_412)) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(inverse(add(X_10,X_412)))),add(X_10,inverse(inverse(add(X_10,X_412))))) )],[refute_0_3685,refute_0_3686]) ).
cnf(refute_0_3688,plain,
add(X_10,inverse(inverse(add(X_10,X_412)))) = add(X_10,add(X_10,X_412)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_10,X_412))),add(X_10,X_412)) )],[refute_0_3684,refute_0_3687]) ).
cnf(refute_0_3689,plain,
multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) = add(X_10,inverse(inverse(add(X_10,X_412)))),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X_10,inverse(inverse(add(X_10,X_412))))))]]) ).
cnf(refute_0_3690,plain,
( multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) != add(X_10,inverse(inverse(add(X_10,X_412))))
| add(X_10,inverse(inverse(add(X_10,X_412)))) != add(X_10,add(X_10,X_412))
| multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) = add(X_10,add(X_10,X_412)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))))),bind(Y0,$fot(add(X_10,inverse(inverse(add(X_10,X_412)))))),bind(Z0,$fot(add(X_10,add(X_10,X_412))))]]) ).
cnf(refute_0_3691,plain,
( add(X_10,inverse(inverse(add(X_10,X_412)))) != add(X_10,add(X_10,X_412))
| multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) = add(X_10,add(X_10,X_412)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))),add(X_10,inverse(inverse(add(X_10,X_412))))) )],[refute_0_3689,refute_0_3690]) ).
cnf(refute_0_3692,plain,
multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) = add(X_10,add(X_10,X_412)),
inference(resolve,[$cnf( $equal(add(X_10,inverse(inverse(add(X_10,X_412)))),add(X_10,add(X_10,X_412))) )],[refute_0_3688,refute_0_3691]) ).
cnf(refute_0_3693,plain,
multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),
introduced(tautology,[refl,[$fot(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))))]]) ).
cnf(refute_0_3694,plain,
( multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))))
| multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) != add(X_10,add(X_10,X_412))
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))))) ),[1,1],$fot(add(X_10,add(X_10,X_412)))]]) ).
cnf(refute_0_3695,plain,
( multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) != add(X_10,add(X_10,X_412))
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))))) )],[refute_0_3693,refute_0_3694]) ).
cnf(refute_0_3696,plain,
multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))),add(X_10,add(X_10,X_412))) )],[refute_0_3692,refute_0_3695]) ).
cnf(refute_0_3697,plain,
( multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(add(X_10,X_412),add(X_10,add(X_10,X_412)))
| multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))) != add(X_10,X_412)
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = add(X_10,X_412) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))))),bind(Y0,$fot(multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))))),bind(Z0,$fot(add(X_10,X_412)))]]) ).
cnf(refute_0_3698,plain,
( multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))) != add(X_10,X_412)
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = add(X_10,X_412) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(add(X_10,X_412),add(X_10,add(X_10,X_412)))) )],[refute_0_3696,refute_0_3697]) ).
cnf(refute_0_3699,plain,
multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) = add(X_10,X_412),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_412),add(X_10,add(X_10,X_412))),add(X_10,X_412)) )],[refute_0_3683,refute_0_3698]) ).
cnf(refute_0_3700,plain,
( multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != add(X_10,X_412)
| add(X_10,X_412) = multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) ),[0],$fot(add(X_10,X_412))]]) ).
cnf(refute_0_3701,plain,
( multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| add(X_10,X_412) = multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),add(X_10,X_412)) )],[refute_0_3699,refute_0_3700]) ).
cnf(refute_0_3702,plain,
( multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))) != add(X_10,add(X_10,X_412))
| add(X_10,X_412) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| add(X_10,X_412) = add(X_10,add(X_10,X_412)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) ),[1],$fot(add(X_10,add(X_10,X_412)))]]) ).
cnf(refute_0_3703,plain,
( add(X_10,X_412) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| add(X_10,X_412) = add(X_10,add(X_10,X_412)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412))))),add(X_10,add(X_10,X_412))) )],[refute_0_3692,refute_0_3702]) ).
cnf(refute_0_3704,plain,
( multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) != multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))
| add(X_10,X_412) = add(X_10,add(X_10,X_412)) ),
inference(resolve,[$cnf( $equal(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) )],[refute_0_3701,refute_0_3703]) ).
cnf(refute_0_3705,plain,
add(X_10,X_412) = add(X_10,add(X_10,X_412)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_412),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))),multiply(n1,add(X_10,inverse(inverse(add(X_10,X_412)))))) )],[refute_0_3682,refute_0_3704]) ).
cnf(refute_0_3706,plain,
( add(X_10,X_412) != add(X_10,add(X_10,X_412))
| add(X_10,add(X_10,X_412)) = add(X_10,X_412) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_10,X_412))),bind(Y0,$fot(add(X_10,add(X_10,X_412))))]]) ).
cnf(refute_0_3707,plain,
add(X_10,add(X_10,X_412)) = add(X_10,X_412),
inference(resolve,[$cnf( $equal(add(X_10,X_412),add(X_10,add(X_10,X_412))) )],[refute_0_3705,refute_0_3706]) ).
cnf(refute_0_3708,plain,
add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) = add(multiply(inverse(X_605),X_312),X_605),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(multiply(inverse(X_605),X_312))),bind(X_412,$fot(X_605))]]) ).
cnf(refute_0_3709,plain,
( add(multiply(inverse(X_605),X_312),X_605) != add(X_605,multiply(inverse(X_605),X_312))
| add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) != add(multiply(inverse(X_605),X_312),X_605)
| add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) = add(X_605,multiply(inverse(X_605),X_312)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)))),bind(Y0,$fot(add(multiply(inverse(X_605),X_312),X_605))),bind(Z0,$fot(add(X_605,multiply(inverse(X_605),X_312))))]]) ).
cnf(refute_0_3710,plain,
( add(multiply(inverse(X_605),X_312),X_605) != add(X_605,multiply(inverse(X_605),X_312))
| add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) = add(X_605,multiply(inverse(X_605),X_312)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)),add(multiply(inverse(X_605),X_312),X_605)) )],[refute_0_3708,refute_0_3709]) ).
cnf(refute_0_3711,plain,
add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) = add(X_605,multiply(inverse(X_605),X_312)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_605),X_312),X_605),add(X_605,multiply(inverse(X_605),X_312))) )],[refute_0_3672,refute_0_3710]) ).
cnf(refute_0_3712,plain,
add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) = add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(add(multiply(inverse(X_605),X_312),X_605))),bind(X_605,$fot(multiply(inverse(X_605),X_312)))]]) ).
cnf(refute_0_3713,plain,
( add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) != add(X_605,multiply(inverse(X_605),X_312))
| add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) != add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605))
| add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) = add(X_605,multiply(inverse(X_605),X_312)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)))),bind(Y0,$fot(add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)))),bind(Z0,$fot(add(X_605,multiply(inverse(X_605),X_312))))]]) ).
cnf(refute_0_3714,plain,
( add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)) != add(X_605,multiply(inverse(X_605),X_312))
| add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) = add(X_605,multiply(inverse(X_605),X_312)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)),add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605))) )],[refute_0_3712,refute_0_3713]) ).
cnf(refute_0_3715,plain,
add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) = add(X_605,multiply(inverse(X_605),X_312)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_605),X_312),add(multiply(inverse(X_605),X_312),X_605)),add(X_605,multiply(inverse(X_605),X_312))) )],[refute_0_3711,refute_0_3714]) ).
cnf(refute_0_3716,plain,
( add(X_312,X_605) != add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))
| add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)) != add(X_605,multiply(inverse(X_605),X_312))
| add(X_312,X_605) = add(X_605,multiply(inverse(X_605),X_312)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_312,X_605),add(X_605,multiply(inverse(X_605),X_312))) ),[0],$fot(add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)))]]) ).
cnf(refute_0_3717,plain,
( add(X_312,X_605) != add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))
| add(X_312,X_605) = add(X_605,multiply(inverse(X_605),X_312)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312)),add(X_605,multiply(inverse(X_605),X_312))) )],[refute_0_3715,refute_0_3716]) ).
cnf(refute_0_3718,plain,
add(X_312,X_605) = add(X_605,multiply(inverse(X_605),X_312)),
inference(resolve,[$cnf( $equal(add(X_312,X_605),add(add(multiply(inverse(X_605),X_312),X_605),multiply(inverse(X_605),X_312))) )],[refute_0_3669,refute_0_3717]) ).
cnf(refute_0_3719,plain,
add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(add(X_1158,X_1159),multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),
inference(subst,[],[refute_0_3718:[bind(X_312,$fot(multiply(X_1157,X_1158))),bind(X_605,$fot(add(X_1158,X_1159)))]]) ).
cnf(refute_0_3720,plain,
pixley(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),add(X_312,X_661),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)),
inference(subst,[],[refute_0_3598:[bind(X_774,$fot(add(X_312,X_661))),bind(X_775,$fot(X_778)),bind(X_776,$fot(multiply(inverse(X_661),X_312)))]]) ).
cnf(refute_0_3721,plain,
pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1) = multiply(X_354,add(X_355,X_356)),
inference(subst,[],[refute_0_3223:[bind(X,$fot(X_354)),bind(Y,$fot(X_355)),bind(Z,$fot(X_356))]]) ).
cnf(refute_0_3722,plain,
multiply(add(X_355,X_356),X_354) = multiply(X_354,add(X_355,X_356)),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_354)),bind(X_58,$fot(add(X_355,X_356)))]]) ).
cnf(refute_0_3723,plain,
( multiply(add(X_355,X_356),X_354) != multiply(X_354,add(X_355,X_356))
| multiply(X_354,add(X_355,X_356)) = multiply(add(X_355,X_356),X_354) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_355,X_356),X_354))),bind(Y0,$fot(multiply(X_354,add(X_355,X_356))))]]) ).
cnf(refute_0_3724,plain,
multiply(X_354,add(X_355,X_356)) = multiply(add(X_355,X_356),X_354),
inference(resolve,[$cnf( $equal(multiply(add(X_355,X_356),X_354),multiply(X_354,add(X_355,X_356))) )],[refute_0_3722,refute_0_3723]) ).
cnf(refute_0_3725,plain,
( multiply(X_354,add(X_355,X_356)) != multiply(add(X_355,X_356),X_354)
| pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1) != multiply(X_354,add(X_355,X_356))
| pixley(multiply(X_356,X_354),inverse(multiply(add(X_355,X_356),X_354)),n1) = multiply(X_354,add(X_355,X_356)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1),multiply(X_354,add(X_355,X_356))) ),[0,1,0],$fot(multiply(add(X_355,X_356),X_354))]]) ).
cnf(refute_0_3726,plain,
( pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1) != multiply(X_354,add(X_355,X_356))
| pixley(multiply(X_356,X_354),inverse(multiply(add(X_355,X_356),X_354)),n1) = multiply(X_354,add(X_355,X_356)) ),
inference(resolve,[$cnf( $equal(multiply(X_354,add(X_355,X_356)),multiply(add(X_355,X_356),X_354)) )],[refute_0_3724,refute_0_3725]) ).
cnf(refute_0_3727,plain,
pixley(multiply(X_356,X_354),inverse(multiply(add(X_355,X_356),X_354)),n1) = multiply(X_354,add(X_355,X_356)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1),multiply(X_354,add(X_355,X_356))) )],[refute_0_3721,refute_0_3726]) ).
cnf(refute_0_3728,plain,
pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(multiply(add(X_659,X_660),inverse(add(X_659,X_660)))),n1) = multiply(inverse(add(X_659,X_660)),add(X_659,X_660)),
inference(subst,[],[refute_0_3727:[bind(X_354,$fot(inverse(add(X_659,X_660)))),bind(X_355,$fot(X_659)),bind(X_356,$fot(X_660))]]) ).
cnf(refute_0_3729,plain,
inverse(n1) = multiply(add(X_659,X_660),inverse(add(X_659,X_660))),
inference(subst,[],[refute_0_1985:[bind(X_55,$fot(add(X_659,X_660)))]]) ).
cnf(refute_0_3730,plain,
( inverse(n1) != multiply(add(X_659,X_660),inverse(add(X_659,X_660)))
| multiply(add(X_659,X_660),inverse(add(X_659,X_660))) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(add(X_659,X_660),inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3731,plain,
multiply(add(X_659,X_660),inverse(add(X_659,X_660))) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(add(X_659,X_660),inverse(add(X_659,X_660)))) )],[refute_0_3729,refute_0_3730]) ).
cnf(refute_0_3732,plain,
( multiply(add(X_659,X_660),inverse(add(X_659,X_660))) != inverse(n1)
| pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(multiply(add(X_659,X_660),inverse(add(X_659,X_660)))),n1) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(multiply(add(X_659,X_660),inverse(add(X_659,X_660)))),n1),multiply(inverse(add(X_659,X_660)),add(X_659,X_660))) ),[0,1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_3733,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(multiply(add(X_659,X_660),inverse(add(X_659,X_660)))),n1) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_659,X_660),inverse(add(X_659,X_660))),inverse(n1)) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = multiply(inverse(add(X_659,X_660)),add(X_659,X_660)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(multiply(add(X_659,X_660),inverse(add(X_659,X_660)))),n1),multiply(inverse(add(X_659,X_660)),add(X_659,X_660))) )],[refute_0_3728,refute_0_3733]) ).
cnf(refute_0_3735,plain,
multiply(n1,multiply(X_660,inverse(add(X_659,X_660)))) = multiply(X_660,inverse(add(X_659,X_660))),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(multiply(X_660,inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3736,plain,
pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) = multiply(n1,multiply(X_660,inverse(add(X_659,X_660)))),
inference(subst,[],[refute_0_3008:[bind(X,$fot(multiply(X_660,inverse(add(X_659,X_660))))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_3737,plain,
( multiply(n1,multiply(X_660,inverse(add(X_659,X_660)))) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) != multiply(n1,multiply(X_660,inverse(add(X_659,X_660))))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) = multiply(X_660,inverse(add(X_659,X_660))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1))),bind(Y0,$fot(multiply(n1,multiply(X_660,inverse(add(X_659,X_660)))))),bind(Z0,$fot(multiply(X_660,inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3738,plain,
( multiply(n1,multiply(X_660,inverse(add(X_659,X_660)))) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) = multiply(X_660,inverse(add(X_659,X_660))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1),multiply(n1,multiply(X_660,inverse(add(X_659,X_660))))) )],[refute_0_3736,refute_0_3737]) ).
cnf(refute_0_3739,plain,
pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) = multiply(X_660,inverse(add(X_659,X_660))),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_660,inverse(add(X_659,X_660)))),multiply(X_660,inverse(add(X_659,X_660)))) )],[refute_0_3735,refute_0_3738]) ).
cnf(refute_0_3740,plain,
add(X_589,X_591) = add(X_591,X_589),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_591)),bind(X_605,$fot(X_589))]]) ).
cnf(refute_0_3741,plain,
( add(X_589,X_591) != add(X_591,X_589)
| pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),add(X_589,X_591))
| pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),add(X_591,X_589)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),add(X_589,X_591))) ),[1,1],$fot(add(X_591,X_589))]]) ).
cnf(refute_0_3742,plain,
( pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),add(X_589,X_591))
| pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),add(X_591,X_589)) ),
inference(resolve,[$cnf( $equal(add(X_589,X_591),add(X_591,X_589)) )],[refute_0_3740,refute_0_3741]) ).
cnf(refute_0_3743,plain,
pixley(X_589,inverse(X_591),n1) = add(multiply(X_589,X_591),add(X_591,X_589)),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),add(X_589,X_591))) )],[refute_0_2229,refute_0_3742]) ).
cnf(refute_0_3744,plain,
add(multiply(X_589,X_591),add(X_591,X_589)) = pixley(X_591,inverse(X_589),n1),
inference(subst,[],[refute_0_3660:[bind(X_592,$fot(X_591)),bind(X_593,$fot(X_589))]]) ).
cnf(refute_0_3745,plain,
( add(multiply(X_589,X_591),add(X_591,X_589)) != pixley(X_591,inverse(X_589),n1)
| pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),add(X_591,X_589))
| pixley(X_589,inverse(X_591),n1) = pixley(X_591,inverse(X_589),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),add(X_591,X_589))) ),[1],$fot(pixley(X_591,inverse(X_589),n1))]]) ).
cnf(refute_0_3746,plain,
( pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),add(X_591,X_589))
| pixley(X_589,inverse(X_591),n1) = pixley(X_591,inverse(X_589),n1) ),
inference(resolve,[$cnf( $equal(add(multiply(X_589,X_591),add(X_591,X_589)),pixley(X_591,inverse(X_589),n1)) )],[refute_0_3744,refute_0_3745]) ).
cnf(refute_0_3747,plain,
pixley(X_589,inverse(X_591),n1) = pixley(X_591,inverse(X_589),n1),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),add(X_591,X_589))) )],[refute_0_3743,refute_0_3746]) ).
cnf(refute_0_3748,plain,
pixley(X_640,inverse(inverse(Y)),n1) = pixley(inverse(Y),inverse(X_640),n1),
inference(subst,[],[refute_0_3747:[bind(X_589,$fot(X_640)),bind(X_591,$fot(inverse(Y)))]]) ).
cnf(refute_0_3749,plain,
( inverse(inverse(Y)) != Y
| pixley(X_640,inverse(inverse(Y)),n1) != pixley(inverse(Y),inverse(X_640),n1)
| pixley(X_640,Y,n1) = pixley(inverse(Y),inverse(X_640),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_640,inverse(inverse(Y)),n1),pixley(inverse(Y),inverse(X_640),n1)) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_3750,plain,
( pixley(X_640,inverse(inverse(Y)),n1) != pixley(inverse(Y),inverse(X_640),n1)
| pixley(X_640,Y,n1) = pixley(inverse(Y),inverse(X_640),n1) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3749]) ).
cnf(refute_0_3751,plain,
pixley(X_640,Y,n1) = pixley(inverse(Y),inverse(X_640),n1),
inference(resolve,[$cnf( $equal(pixley(X_640,inverse(inverse(Y)),n1),pixley(inverse(Y),inverse(X_640),n1)) )],[refute_0_3748,refute_0_3750]) ).
cnf(refute_0_3752,plain,
( pixley(X_640,Y,n1) != pixley(inverse(Y),inverse(X_640),n1)
| pixley(inverse(Y),inverse(X_640),n1) = pixley(X_640,Y,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_640,Y,n1))),bind(Y0,$fot(pixley(inverse(Y),inverse(X_640),n1)))]]) ).
cnf(refute_0_3753,plain,
pixley(inverse(Y),inverse(X_640),n1) = pixley(X_640,Y,n1),
inference(resolve,[$cnf( $equal(pixley(X_640,Y,n1),pixley(inverse(Y),inverse(X_640),n1)) )],[refute_0_3751,refute_0_3752]) ).
cnf(refute_0_3754,plain,
pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) = pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1),
inference(subst,[],[refute_0_3753:[bind(Y,$fot(n1)),bind(X_640,$fot(multiply(X_660,inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3755,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) != pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1)
| pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) = multiply(X_660,inverse(add(X_659,X_660))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1))),bind(Y0,$fot(pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1))),bind(Z0,$fot(multiply(X_660,inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3756,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) = multiply(X_660,inverse(add(X_659,X_660))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1),pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1)) )],[refute_0_3754,refute_0_3755]) ).
cnf(refute_0_3757,plain,
pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) = multiply(X_660,inverse(add(X_659,X_660))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),n1,n1),multiply(X_660,inverse(add(X_659,X_660)))) )],[refute_0_3739,refute_0_3756]) ).
cnf(refute_0_3758,plain,
pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1),
inference(subst,[],[refute_0_3536:[bind(X,$fot(inverse(n1))),bind(Z,$fot(n1)),bind(X_262,$fot(multiply(X_660,inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3759,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) != pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1)
| pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = multiply(X_660,inverse(add(X_659,X_660))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1))),bind(Y0,$fot(pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1))),bind(Z0,$fot(multiply(X_660,inverse(add(X_659,X_660)))))]]) ).
cnf(refute_0_3760,plain,
( pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = multiply(X_660,inverse(add(X_659,X_660))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1),pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1)) )],[refute_0_3758,refute_0_3759]) ).
cnf(refute_0_3761,plain,
pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) = multiply(X_660,inverse(add(X_659,X_660))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),inverse(multiply(X_660,inverse(add(X_659,X_660)))),n1),multiply(X_660,inverse(add(X_659,X_660)))) )],[refute_0_3757,refute_0_3760]) ).
cnf(refute_0_3762,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) != multiply(X_660,inverse(add(X_659,X_660)))
| pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| multiply(X_660,inverse(add(X_659,X_660))) = multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1),multiply(inverse(add(X_659,X_660)),add(X_659,X_660))) ),[0],$fot(multiply(X_660,inverse(add(X_659,X_660))))]]) ).
cnf(refute_0_3763,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| multiply(X_660,inverse(add(X_659,X_660))) = multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1),multiply(X_660,inverse(add(X_659,X_660)))) )],[refute_0_3761,refute_0_3762]) ).
cnf(refute_0_3764,plain,
multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) = add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X_304))),bind(Y,$fot(multiply(Z,inverse(X_304))))]]) ).
cnf(refute_0_3765,plain,
multiply(Z,inverse(X_304)) = add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))),
inference(subst,[],[refute_0_3243:[bind(X_301,$fot(X_304)),bind(X_302,$fot(multiply(Z,inverse(X_304))))]]) ).
cnf(refute_0_3766,plain,
( multiply(Z,inverse(X_304)) != add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304)))
| add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))) = multiply(Z,inverse(X_304)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Z,inverse(X_304)))),bind(Y0,$fot(add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304)))))]]) ).
cnf(refute_0_3767,plain,
add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))) = multiply(Z,inverse(X_304)),
inference(resolve,[$cnf( $equal(multiply(Z,inverse(X_304)),add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304)))) )],[refute_0_3765,refute_0_3766]) ).
cnf(refute_0_3768,plain,
( multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) != add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304)))
| add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))) != multiply(Z,inverse(X_304))
| multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) = multiply(Z,inverse(X_304)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)),multiply(Z,inverse(X_304))) ),[0],$fot(add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))))]]) ).
cnf(refute_0_3769,plain,
( multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) != add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304)))
| multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) = multiply(Z,inverse(X_304)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304))),multiply(Z,inverse(X_304))) )],[refute_0_3767,refute_0_3768]) ).
cnf(refute_0_3770,plain,
multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) = multiply(Z,inverse(X_304)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)),add(multiply(multiply(Z,inverse(X_304)),inverse(X_304)),multiply(Z,inverse(X_304)))) )],[refute_0_3764,refute_0_3769]) ).
cnf(refute_0_3771,plain,
( pixley(multiply(X_82,inverse(Y)),Y,Z) != multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))
| multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) = pixley(multiply(X_82,inverse(Y)),Y,Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(multiply(X_82,inverse(Y)),Y,Z))),bind(Y0,$fot(multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))))]]) ).
cnf(refute_0_3772,plain,
multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z)) = pixley(multiply(X_82,inverse(Y)),Y,Z),
inference(resolve,[$cnf( $equal(pixley(multiply(X_82,inverse(Y)),Y,Z),multiply(inverse(Y),add(multiply(X_82,inverse(Y)),Z))) )],[refute_0_3162,refute_0_3771]) ).
cnf(refute_0_3773,plain,
multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) = pixley(multiply(Z,inverse(X_304)),X_304,Z),
inference(subst,[],[refute_0_3772:[bind(Y,$fot(X_304)),bind(X_82,$fot(Z))]]) ).
cnf(refute_0_3774,plain,
( multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) != multiply(Z,inverse(X_304))
| multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) != pixley(multiply(Z,inverse(X_304)),X_304,Z)
| pixley(multiply(Z,inverse(X_304)),X_304,Z) = multiply(Z,inverse(X_304)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)),multiply(Z,inverse(X_304))) ),[0],$fot(pixley(multiply(Z,inverse(X_304)),X_304,Z))]]) ).
cnf(refute_0_3775,plain,
( multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)) != multiply(Z,inverse(X_304))
| pixley(multiply(Z,inverse(X_304)),X_304,Z) = multiply(Z,inverse(X_304)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)),pixley(multiply(Z,inverse(X_304)),X_304,Z)) )],[refute_0_3773,refute_0_3774]) ).
cnf(refute_0_3776,plain,
pixley(multiply(Z,inverse(X_304)),X_304,Z) = multiply(Z,inverse(X_304)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_304),add(multiply(Z,inverse(X_304)),Z)),multiply(Z,inverse(X_304))) )],[refute_0_3770,refute_0_3775]) ).
cnf(refute_0_3777,plain,
pixley(multiply(X_391,inverse(inverse(Y))),inverse(Y),X_391) = multiply(X_391,inverse(inverse(Y))),
inference(subst,[],[refute_0_3776:[bind(Z,$fot(X_391)),bind(X_304,$fot(inverse(Y)))]]) ).
cnf(refute_0_3778,plain,
( inverse(inverse(Y)) != Y
| pixley(multiply(X_391,inverse(inverse(Y))),inverse(Y),X_391) != multiply(X_391,inverse(inverse(Y)))
| pixley(multiply(X_391,Y),inverse(Y),X_391) = multiply(X_391,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_391,inverse(inverse(Y))),inverse(Y),X_391),multiply(X_391,inverse(inverse(Y)))) ),[0,0,1],$fot(Y)]]) ).
cnf(refute_0_3779,plain,
( pixley(multiply(X_391,inverse(inverse(Y))),inverse(Y),X_391) != multiply(X_391,inverse(inverse(Y)))
| pixley(multiply(X_391,Y),inverse(Y),X_391) = multiply(X_391,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3778]) ).
cnf(refute_0_3780,plain,
pixley(multiply(X_391,Y),inverse(Y),X_391) = multiply(X_391,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_391,inverse(inverse(Y))),inverse(Y),X_391),multiply(X_391,inverse(inverse(Y)))) )],[refute_0_3777,refute_0_3779]) ).
cnf(refute_0_3781,plain,
multiply(X_391,inverse(inverse(Y))) = multiply(X_391,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_391,inverse(inverse(Y))))]]) ).
cnf(refute_0_3782,plain,
( multiply(X_391,inverse(inverse(Y))) != multiply(X_391,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(X_391,inverse(inverse(Y))) = multiply(X_391,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_391,inverse(inverse(Y))),multiply(X_391,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_3783,plain,
( inverse(inverse(Y)) != Y
| multiply(X_391,inverse(inverse(Y))) = multiply(X_391,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_391,inverse(inverse(Y))),multiply(X_391,inverse(inverse(Y)))) )],[refute_0_3781,refute_0_3782]) ).
cnf(refute_0_3784,plain,
multiply(X_391,inverse(inverse(Y))) = multiply(X_391,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3783]) ).
cnf(refute_0_3785,plain,
( multiply(X_391,inverse(inverse(Y))) != multiply(X_391,Y)
| pixley(multiply(X_391,Y),inverse(Y),X_391) != multiply(X_391,inverse(inverse(Y)))
| pixley(multiply(X_391,Y),inverse(Y),X_391) = multiply(X_391,Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_391,Y),inverse(Y),X_391),multiply(X_391,inverse(inverse(Y)))) ),[1],$fot(multiply(X_391,Y))]]) ).
cnf(refute_0_3786,plain,
( pixley(multiply(X_391,Y),inverse(Y),X_391) != multiply(X_391,inverse(inverse(Y)))
| pixley(multiply(X_391,Y),inverse(Y),X_391) = multiply(X_391,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_391,inverse(inverse(Y))),multiply(X_391,Y)) )],[refute_0_3784,refute_0_3785]) ).
cnf(refute_0_3787,plain,
pixley(multiply(X_391,Y),inverse(Y),X_391) = multiply(X_391,Y),
inference(resolve,[$cnf( $equal(pixley(multiply(X_391,Y),inverse(Y),X_391),multiply(X_391,inverse(inverse(Y)))) )],[refute_0_3780,refute_0_3786]) ).
cnf(refute_0_3788,plain,
pixley(multiply(X_394,X_393),inverse(X_393),X_394) = multiply(X_394,X_393),
inference(subst,[],[refute_0_3787:[bind(Y,$fot(X_393)),bind(X_391,$fot(X_394))]]) ).
cnf(refute_0_3789,plain,
multiply(X_393,X_394) = multiply(X_394,X_393),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_394)),bind(X_58,$fot(X_393))]]) ).
cnf(refute_0_3790,plain,
( multiply(X_393,X_394) != multiply(X_394,X_393)
| multiply(X_394,X_393) = multiply(X_393,X_394) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_393,X_394))),bind(Y0,$fot(multiply(X_394,X_393)))]]) ).
cnf(refute_0_3791,plain,
multiply(X_394,X_393) = multiply(X_393,X_394),
inference(resolve,[$cnf( $equal(multiply(X_393,X_394),multiply(X_394,X_393)) )],[refute_0_3789,refute_0_3790]) ).
cnf(refute_0_3792,plain,
( multiply(X_394,X_393) != multiply(X_393,X_394)
| pixley(multiply(X_394,X_393),inverse(X_393),X_394) != multiply(X_394,X_393)
| pixley(multiply(X_393,X_394),inverse(X_393),X_394) = multiply(X_394,X_393) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_394,X_393),inverse(X_393),X_394),multiply(X_394,X_393)) ),[0,0],$fot(multiply(X_393,X_394))]]) ).
cnf(refute_0_3793,plain,
( pixley(multiply(X_394,X_393),inverse(X_393),X_394) != multiply(X_394,X_393)
| pixley(multiply(X_393,X_394),inverse(X_393),X_394) = multiply(X_394,X_393) ),
inference(resolve,[$cnf( $equal(multiply(X_394,X_393),multiply(X_393,X_394)) )],[refute_0_3791,refute_0_3792]) ).
cnf(refute_0_3794,plain,
pixley(multiply(X_393,X_394),inverse(X_393),X_394) = multiply(X_394,X_393),
inference(resolve,[$cnf( $equal(pixley(multiply(X_394,X_393),inverse(X_393),X_394),multiply(X_394,X_393)) )],[refute_0_3788,refute_0_3793]) ).
cnf(refute_0_3795,plain,
pixley(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)),
inference(subst,[],[refute_0_3794:[bind(X_393,$fot(add(X_571,X_570))),bind(X_394,$fot(multiply(inverse(X_570),X_571)))]]) ).
cnf(refute_0_3796,plain,
multiply(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) = multiply(X_281,X_311),
inference(subst,[],[refute_0_2641:[bind(Z,$fot(inverse(X_311))),bind(X_26,$fot(multiply(X_281,X_311)))]]) ).
cnf(refute_0_3797,plain,
add(multiply(X_311,multiply(X_311,X_281)),inverse(X_311)) = add(multiply(X_311,X_281),inverse(X_311)),
inference(subst,[],[refute_0_3043:[bind(X_308,$fot(X_311)),bind(X_310,$fot(multiply(X_311,X_281)))]]) ).
cnf(refute_0_3798,plain,
multiply(X_311,multiply(X_311,X_281)) = multiply(X_281,X_311),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_311))]]) ).
cnf(refute_0_3799,plain,
( multiply(X_311,multiply(X_311,X_281)) != multiply(X_281,X_311)
| add(multiply(X_311,multiply(X_311,X_281)),inverse(X_311)) != add(multiply(X_311,X_281),inverse(X_311))
| add(multiply(X_281,X_311),inverse(X_311)) = add(multiply(X_311,X_281),inverse(X_311)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_311,multiply(X_311,X_281)),inverse(X_311)),add(multiply(X_311,X_281),inverse(X_311))) ),[0,0],$fot(multiply(X_281,X_311))]]) ).
cnf(refute_0_3800,plain,
( add(multiply(X_311,multiply(X_311,X_281)),inverse(X_311)) != add(multiply(X_311,X_281),inverse(X_311))
| add(multiply(X_281,X_311),inverse(X_311)) = add(multiply(X_311,X_281),inverse(X_311)) ),
inference(resolve,[$cnf( $equal(multiply(X_311,multiply(X_311,X_281)),multiply(X_281,X_311)) )],[refute_0_3798,refute_0_3799]) ).
cnf(refute_0_3801,plain,
add(multiply(X_281,X_311),inverse(X_311)) = add(multiply(X_311,X_281),inverse(X_311)),
inference(resolve,[$cnf( $equal(add(multiply(X_311,multiply(X_311,X_281)),inverse(X_311)),add(multiply(X_311,X_281),inverse(X_311))) )],[refute_0_3797,refute_0_3800]) ).
cnf(refute_0_3802,plain,
add(multiply(X_311,X_281),inverse(X_311)) = add(X_281,inverse(X_311)),
inference(subst,[],[refute_0_3043:[bind(X_308,$fot(X_311)),bind(X_310,$fot(X_281))]]) ).
cnf(refute_0_3803,plain,
( add(multiply(X_281,X_311),inverse(X_311)) != add(multiply(X_311,X_281),inverse(X_311))
| add(multiply(X_311,X_281),inverse(X_311)) != add(X_281,inverse(X_311))
| add(multiply(X_281,X_311),inverse(X_311)) = add(X_281,inverse(X_311)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_281,X_311),inverse(X_311)),add(X_281,inverse(X_311))) ),[0],$fot(add(multiply(X_311,X_281),inverse(X_311)))]]) ).
cnf(refute_0_3804,plain,
( add(multiply(X_281,X_311),inverse(X_311)) != add(multiply(X_311,X_281),inverse(X_311))
| add(multiply(X_281,X_311),inverse(X_311)) = add(X_281,inverse(X_311)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_311,X_281),inverse(X_311)),add(X_281,inverse(X_311))) )],[refute_0_3802,refute_0_3803]) ).
cnf(refute_0_3805,plain,
add(multiply(X_281,X_311),inverse(X_311)) = add(X_281,inverse(X_311)),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),inverse(X_311)),add(multiply(X_311,X_281),inverse(X_311))) )],[refute_0_3801,refute_0_3804]) ).
cnf(refute_0_3806,plain,
( multiply(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) != multiply(X_281,X_311)
| add(multiply(X_281,X_311),inverse(X_311)) != add(X_281,inverse(X_311))
| multiply(multiply(X_281,X_311),add(X_281,inverse(X_311))) = multiply(X_281,X_311) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))),multiply(X_281,X_311)) ),[0,1],$fot(add(X_281,inverse(X_311)))]]) ).
cnf(refute_0_3807,plain,
( multiply(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) != multiply(X_281,X_311)
| multiply(multiply(X_281,X_311),add(X_281,inverse(X_311))) = multiply(X_281,X_311) ),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),inverse(X_311)),add(X_281,inverse(X_311))) )],[refute_0_3805,refute_0_3806]) ).
cnf(refute_0_3808,plain,
multiply(multiply(X_281,X_311),add(X_281,inverse(X_311))) = multiply(X_281,X_311),
inference(resolve,[$cnf( $equal(multiply(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))),multiply(X_281,X_311)) )],[refute_0_3796,refute_0_3807]) ).
cnf(refute_0_3809,plain,
multiply(multiply(X_417,inverse(Y)),add(X_417,inverse(inverse(Y)))) = multiply(X_417,inverse(Y)),
inference(subst,[],[refute_0_3808:[bind(X_281,$fot(X_417)),bind(X_311,$fot(inverse(Y)))]]) ).
cnf(refute_0_3810,plain,
( multiply(multiply(X_417,inverse(Y)),add(X_417,inverse(inverse(Y)))) != multiply(X_417,inverse(Y))
| inverse(inverse(Y)) != Y
| multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) = multiply(X_417,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_417,inverse(Y)),add(X_417,inverse(inverse(Y)))),multiply(X_417,inverse(Y))) ),[0,1,1],$fot(Y)]]) ).
cnf(refute_0_3811,plain,
( multiply(multiply(X_417,inverse(Y)),add(X_417,inverse(inverse(Y)))) != multiply(X_417,inverse(Y))
| multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) = multiply(X_417,inverse(Y)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3810]) ).
cnf(refute_0_3812,plain,
multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) = multiply(X_417,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_417,inverse(Y)),add(X_417,inverse(inverse(Y)))),multiply(X_417,inverse(Y))) )],[refute_0_3809,refute_0_3811]) ).
cnf(refute_0_3813,plain,
multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) = multiply(add(X_417,Y),multiply(X_417,inverse(Y))),
inference(subst,[],[refute_0_3032:[bind(X,$fot(add(X_417,Y))),bind(Y,$fot(multiply(X_417,inverse(Y))))]]) ).
cnf(refute_0_3814,plain,
( multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) != multiply(X_417,inverse(Y))
| multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) != multiply(add(X_417,Y),multiply(X_417,inverse(Y)))
| multiply(add(X_417,Y),multiply(X_417,inverse(Y))) = multiply(X_417,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_417,inverse(Y)),add(X_417,Y)),multiply(X_417,inverse(Y))) ),[0],$fot(multiply(add(X_417,Y),multiply(X_417,inverse(Y))))]]) ).
cnf(refute_0_3815,plain,
( multiply(multiply(X_417,inverse(Y)),add(X_417,Y)) != multiply(X_417,inverse(Y))
| multiply(add(X_417,Y),multiply(X_417,inverse(Y))) = multiply(X_417,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_417,inverse(Y)),add(X_417,Y)),multiply(add(X_417,Y),multiply(X_417,inverse(Y)))) )],[refute_0_3813,refute_0_3814]) ).
cnf(refute_0_3816,plain,
multiply(add(X_417,Y),multiply(X_417,inverse(Y))) = multiply(X_417,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_417,inverse(Y)),add(X_417,Y)),multiply(X_417,inverse(Y))) )],[refute_0_3812,refute_0_3815]) ).
cnf(refute_0_3817,plain,
multiply(add(X_569,X_568),multiply(X_569,inverse(X_568))) = multiply(X_569,inverse(X_568)),
inference(subst,[],[refute_0_3816:[bind(Y,$fot(X_568)),bind(X_417,$fot(X_569))]]) ).
cnf(refute_0_3818,plain,
multiply(inverse(X_568),X_569) = multiply(X_569,inverse(X_568)),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_569)),bind(X_58,$fot(inverse(X_568)))]]) ).
cnf(refute_0_3819,plain,
( multiply(inverse(X_568),X_569) != multiply(X_569,inverse(X_568))
| multiply(X_569,inverse(X_568)) = multiply(inverse(X_568),X_569) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_568),X_569))),bind(Y0,$fot(multiply(X_569,inverse(X_568))))]]) ).
cnf(refute_0_3820,plain,
multiply(X_569,inverse(X_568)) = multiply(inverse(X_568),X_569),
inference(resolve,[$cnf( $equal(multiply(inverse(X_568),X_569),multiply(X_569,inverse(X_568))) )],[refute_0_3818,refute_0_3819]) ).
cnf(refute_0_3821,plain,
( multiply(X_569,inverse(X_568)) != multiply(inverse(X_568),X_569)
| multiply(add(X_569,X_568),multiply(X_569,inverse(X_568))) != multiply(X_569,inverse(X_568))
| multiply(add(X_569,X_568),multiply(inverse(X_568),X_569)) = multiply(X_569,inverse(X_568)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_569,X_568),multiply(X_569,inverse(X_568))),multiply(X_569,inverse(X_568))) ),[0,1],$fot(multiply(inverse(X_568),X_569))]]) ).
cnf(refute_0_3822,plain,
( multiply(add(X_569,X_568),multiply(X_569,inverse(X_568))) != multiply(X_569,inverse(X_568))
| multiply(add(X_569,X_568),multiply(inverse(X_568),X_569)) = multiply(X_569,inverse(X_568)) ),
inference(resolve,[$cnf( $equal(multiply(X_569,inverse(X_568)),multiply(inverse(X_568),X_569)) )],[refute_0_3820,refute_0_3821]) ).
cnf(refute_0_3823,plain,
multiply(add(X_569,X_568),multiply(inverse(X_568),X_569)) = multiply(X_569,inverse(X_568)),
inference(resolve,[$cnf( $equal(multiply(add(X_569,X_568),multiply(X_569,inverse(X_568))),multiply(X_569,inverse(X_568))) )],[refute_0_3817,refute_0_3822]) ).
cnf(refute_0_3824,plain,
multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)) = multiply(X_571,inverse(X_570)),
inference(subst,[],[refute_0_3823:[bind(X_568,$fot(X_570)),bind(X_569,$fot(X_571))]]) ).
cnf(refute_0_3825,plain,
( multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)) != multiply(X_571,inverse(X_570))
| pixley(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))) ),[0,0],$fot(multiply(X_571,inverse(X_570)))]]) ).
cnf(refute_0_3826,plain,
( pixley(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),multiply(X_571,inverse(X_570))) )],[refute_0_3824,refute_0_3825]) ).
cnf(refute_0_3827,plain,
pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))) )],[refute_0_3795,refute_0_3826]) ).
cnf(refute_0_3828,plain,
multiply(pixley(Y,n1,X_272),add(Y,Z)) = add(multiply(Y,pixley(Y,n1,X_272)),multiply(Z,pixley(Y,n1,X_272))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(pixley(Y,n1,X_272)))]]) ).
cnf(refute_0_3829,plain,
multiply(Y,pixley(Y,n1,X_272)) = pixley(Y,n1,X_272),
inference(subst,[],[refute_0_2919:[bind(Y,$fot(X_272)),bind(X_268,$fot(Y))]]) ).
cnf(refute_0_3830,plain,
( multiply(Y,pixley(Y,n1,X_272)) != pixley(Y,n1,X_272)
| multiply(pixley(Y,n1,X_272),add(Y,Z)) != add(multiply(Y,pixley(Y,n1,X_272)),multiply(Z,pixley(Y,n1,X_272)))
| multiply(pixley(Y,n1,X_272),add(Y,Z)) = add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),add(multiply(Y,pixley(Y,n1,X_272)),multiply(Z,pixley(Y,n1,X_272)))) ),[1,0],$fot(pixley(Y,n1,X_272))]]) ).
cnf(refute_0_3831,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != add(multiply(Y,pixley(Y,n1,X_272)),multiply(Z,pixley(Y,n1,X_272)))
| multiply(pixley(Y,n1,X_272),add(Y,Z)) = add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))) ),
inference(resolve,[$cnf( $equal(multiply(Y,pixley(Y,n1,X_272)),pixley(Y,n1,X_272)) )],[refute_0_3829,refute_0_3830]) ).
cnf(refute_0_3832,plain,
multiply(pixley(Y,n1,X_272),add(Y,Z)) = add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))),
inference(resolve,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),add(multiply(Y,pixley(Y,n1,X_272)),multiply(Z,pixley(Y,n1,X_272)))) )],[refute_0_3828,refute_0_3831]) ).
cnf(refute_0_3833,plain,
add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))) = pixley(Y,n1,X_272),
inference(subst,[],[refute_0_2647:[bind(X,$fot(pixley(Y,n1,X_272)))]]) ).
cnf(refute_0_3834,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272)))
| add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))) != pixley(Y,n1,X_272)
| multiply(pixley(Y,n1,X_272),add(Y,Z)) = pixley(Y,n1,X_272) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),pixley(Y,n1,X_272)) ),[0],$fot(add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))))]]) ).
cnf(refute_0_3835,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272)))
| multiply(pixley(Y,n1,X_272),add(Y,Z)) = pixley(Y,n1,X_272) ),
inference(resolve,[$cnf( $equal(add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272))),pixley(Y,n1,X_272)) )],[refute_0_3833,refute_0_3834]) ).
cnf(refute_0_3836,plain,
multiply(pixley(Y,n1,X_272),add(Y,Z)) = pixley(Y,n1,X_272),
inference(resolve,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),add(pixley(Y,n1,X_272),multiply(Z,pixley(Y,n1,X_272)))) )],[refute_0_3832,refute_0_3835]) ).
cnf(refute_0_3837,plain,
pixley(Y,n1,X_272) = multiply(X_272,Y),
inference(subst,[],[refute_0_3008:[bind(X,$fot(Y)),bind(Z,$fot(X_272))]]) ).
cnf(refute_0_3838,plain,
multiply(pixley(Y,n1,X_272),add(Y,Z)) = multiply(pixley(Y,n1,X_272),add(Y,Z)),
introduced(tautology,[refl,[$fot(multiply(pixley(Y,n1,X_272),add(Y,Z)))]]) ).
cnf(refute_0_3839,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != multiply(pixley(Y,n1,X_272),add(Y,Z))
| pixley(Y,n1,X_272) != multiply(X_272,Y)
| multiply(pixley(Y,n1,X_272),add(Y,Z)) = multiply(multiply(X_272,Y),add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),multiply(pixley(Y,n1,X_272),add(Y,Z))) ),[1,0],$fot(multiply(X_272,Y))]]) ).
cnf(refute_0_3840,plain,
( pixley(Y,n1,X_272) != multiply(X_272,Y)
| multiply(pixley(Y,n1,X_272),add(Y,Z)) = multiply(multiply(X_272,Y),add(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),multiply(pixley(Y,n1,X_272),add(Y,Z))) )],[refute_0_3838,refute_0_3839]) ).
cnf(refute_0_3841,plain,
multiply(pixley(Y,n1,X_272),add(Y,Z)) = multiply(multiply(X_272,Y),add(Y,Z)),
inference(resolve,[$cnf( $equal(pixley(Y,n1,X_272),multiply(X_272,Y)) )],[refute_0_3837,refute_0_3840]) ).
cnf(refute_0_3842,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != multiply(multiply(X_272,Y),add(Y,Z))
| multiply(pixley(Y,n1,X_272),add(Y,Z)) != pixley(Y,n1,X_272)
| multiply(multiply(X_272,Y),add(Y,Z)) = pixley(Y,n1,X_272) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),pixley(Y,n1,X_272)) ),[0],$fot(multiply(multiply(X_272,Y),add(Y,Z)))]]) ).
cnf(refute_0_3843,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != pixley(Y,n1,X_272)
| multiply(multiply(X_272,Y),add(Y,Z)) = pixley(Y,n1,X_272) ),
inference(resolve,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),multiply(multiply(X_272,Y),add(Y,Z))) )],[refute_0_3841,refute_0_3842]) ).
cnf(refute_0_3844,plain,
( multiply(multiply(X_272,Y),add(Y,Z)) != pixley(Y,n1,X_272)
| pixley(Y,n1,X_272) != multiply(X_272,Y)
| multiply(multiply(X_272,Y),add(Y,Z)) = multiply(X_272,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_272,Y),add(Y,Z)),multiply(X_272,Y)) ),[0],$fot(pixley(Y,n1,X_272))]]) ).
cnf(refute_0_3845,plain,
( multiply(multiply(X_272,Y),add(Y,Z)) != pixley(Y,n1,X_272)
| multiply(multiply(X_272,Y),add(Y,Z)) = multiply(X_272,Y) ),
inference(resolve,[$cnf( $equal(pixley(Y,n1,X_272),multiply(X_272,Y)) )],[refute_0_3837,refute_0_3844]) ).
cnf(refute_0_3846,plain,
( multiply(pixley(Y,n1,X_272),add(Y,Z)) != pixley(Y,n1,X_272)
| multiply(multiply(X_272,Y),add(Y,Z)) = multiply(X_272,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_272,Y),add(Y,Z)),pixley(Y,n1,X_272)) )],[refute_0_3843,refute_0_3845]) ).
cnf(refute_0_3847,plain,
multiply(multiply(X_272,Y),add(Y,Z)) = multiply(X_272,Y),
inference(resolve,[$cnf( $equal(multiply(pixley(Y,n1,X_272),add(Y,Z)),pixley(Y,n1,X_272)) )],[refute_0_3836,refute_0_3846]) ).
cnf(refute_0_3848,plain,
multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)) = multiply(inverse(X_570),X_571),
inference(subst,[],[refute_0_3847:[bind(Y,$fot(X_571)),bind(Z,$fot(X_570)),bind(X_272,$fot(inverse(X_570)))]]) ).
cnf(refute_0_3849,plain,
( multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)) != multiply(inverse(X_570),X_571)
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),X_571) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))) ),[1],$fot(multiply(inverse(X_570),X_571))]]) ).
cnf(refute_0_3850,plain,
( pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),X_571) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_570),X_571),add(X_571,X_570)),multiply(inverse(X_570),X_571)) )],[refute_0_3848,refute_0_3849]) ).
cnf(refute_0_3851,plain,
pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),X_571),
inference(resolve,[$cnf( $equal(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(multiply(inverse(X_570),X_571),add(X_571,X_570))) )],[refute_0_3827,refute_0_3850]) ).
cnf(refute_0_3852,plain,
add(X_571,X_571) = X_571,
inference(subst,[],[refute_0_1536:[bind(Z,$fot(X_571))]]) ).
cnf(refute_0_3853,plain,
multiply(inverse(X_570),add(X_571,X_571)) = multiply(inverse(X_570),add(X_571,X_571)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_570),add(X_571,X_571)))]]) ).
cnf(refute_0_3854,plain,
( multiply(inverse(X_570),add(X_571,X_571)) != multiply(inverse(X_570),add(X_571,X_571))
| add(X_571,X_571) != X_571
| multiply(inverse(X_570),add(X_571,X_571)) = multiply(inverse(X_570),X_571) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_570),add(X_571,X_571)),multiply(inverse(X_570),add(X_571,X_571))) ),[1,1],$fot(X_571)]]) ).
cnf(refute_0_3855,plain,
( add(X_571,X_571) != X_571
| multiply(inverse(X_570),add(X_571,X_571)) = multiply(inverse(X_570),X_571) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_570),add(X_571,X_571)),multiply(inverse(X_570),add(X_571,X_571))) )],[refute_0_3853,refute_0_3854]) ).
cnf(refute_0_3856,plain,
multiply(inverse(X_570),add(X_571,X_571)) = multiply(inverse(X_570),X_571),
inference(resolve,[$cnf( $equal(add(X_571,X_571),X_571) )],[refute_0_3852,refute_0_3855]) ).
cnf(refute_0_3857,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
| multiply(Z,X) != multiply(X,Z)
| multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) ),[1,1],$fot(multiply(X,Z))]]) ).
cnf(refute_0_3858,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
| multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(Z,X),multiply(X,Z)) )],[refute_0_1545,refute_0_3857]) ).
cnf(refute_0_3859,plain,
multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) )],[multiply_add_property,refute_0_3858]) ).
cnf(refute_0_3860,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(X,Z))
| add(multiply(Y,X),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,X),multiply(X,Z))))]]) ).
cnf(refute_0_3861,plain,
add(multiply(Y,X),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(X,Z))) )],[refute_0_3859,refute_0_3860]) ).
cnf(refute_0_3862,plain,
add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),add(X_571,X_571)),
inference(subst,[],[refute_0_3861:[bind(X,$fot(inverse(X_570))),bind(Y,$fot(X_571)),bind(Z,$fot(X_571))]]) ).
cnf(refute_0_3863,plain,
( multiply(inverse(X_570),add(X_571,X_571)) != multiply(inverse(X_570),X_571)
| add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) != multiply(inverse(X_570),add(X_571,X_571))
| add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),X_571) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)))),bind(Y0,$fot(multiply(inverse(X_570),add(X_571,X_571)))),bind(Z0,$fot(multiply(inverse(X_570),X_571)))]]) ).
cnf(refute_0_3864,plain,
( multiply(inverse(X_570),add(X_571,X_571)) != multiply(inverse(X_570),X_571)
| add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),X_571) ),
inference(resolve,[$cnf( $equal(add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)),multiply(inverse(X_570),add(X_571,X_571))) )],[refute_0_3862,refute_0_3863]) ).
cnf(refute_0_3865,plain,
add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) = multiply(inverse(X_570),X_571),
inference(resolve,[$cnf( $equal(multiply(inverse(X_570),add(X_571,X_571)),multiply(inverse(X_570),X_571)) )],[refute_0_3856,refute_0_3864]) ).
cnf(refute_0_3866,plain,
multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))),
introduced(tautology,[refl,[$fot(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))))]]) ).
cnf(refute_0_3867,plain,
( multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) != multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)))
| add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) != multiply(inverse(X_570),X_571)
| multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))),multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)))) ),[1,1],$fot(multiply(inverse(X_570),X_571))]]) ).
cnf(refute_0_3868,plain,
( add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) != multiply(inverse(X_570),X_571)
| multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))),multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)))) )],[refute_0_3866,refute_0_3867]) ).
cnf(refute_0_3869,plain,
multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),
inference(resolve,[$cnf( $equal(add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)),multiply(inverse(X_570),X_571)) )],[refute_0_3865,refute_0_3868]) ).
cnf(refute_0_3870,plain,
( multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)) != multiply(X_571,inverse(X_570))
| multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) != multiply(add(X_571,X_570),multiply(inverse(X_570),X_571))
| multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(X_571,inverse(X_570)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))))),bind(Y0,$fot(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)))),bind(Z0,$fot(multiply(X_571,inverse(X_570))))]]) ).
cnf(refute_0_3871,plain,
( multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)) != multiply(X_571,inverse(X_570))
| multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(X_571,inverse(X_570)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))),multiply(add(X_571,X_570),multiply(inverse(X_570),X_571))) )],[refute_0_3869,refute_0_3870]) ).
cnf(refute_0_3872,plain,
multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) = multiply(X_571,inverse(X_570)),
inference(resolve,[$cnf( $equal(multiply(add(X_571,X_570),multiply(inverse(X_570),X_571)),multiply(X_571,inverse(X_570))) )],[refute_0_3824,refute_0_3871]) ).
cnf(refute_0_3873,plain,
pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(multiply(X_312,inverse(X_424)),add(X_312,X_424)))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(multiply(X_312,inverse(X_424)))),bind(Z,$fot(X_590)),bind(X_262,$fot(add(X_312,X_424)))]]) ).
cnf(refute_0_3874,plain,
add(multiply(inverse(X_414),X_312),X_414) = add(multiply(inverse(X_414),X_312),add(multiply(inverse(X_414),X_312),X_414)),
inference(subst,[],[refute_0_3705:[bind(X_10,$fot(multiply(inverse(X_414),X_312))),bind(X_412,$fot(X_414))]]) ).
cnf(refute_0_3875,plain,
add(multiply(inverse(X_414),X_312),X_414) = add(X_312,X_414),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_414))]]) ).
cnf(refute_0_3876,plain,
( add(multiply(inverse(X_414),X_312),X_414) != add(X_312,X_414)
| add(multiply(inverse(X_414),X_312),X_414) != add(multiply(inverse(X_414),X_312),add(multiply(inverse(X_414),X_312),X_414))
| add(multiply(inverse(X_414),X_312),X_414) = add(multiply(inverse(X_414),X_312),add(X_312,X_414)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_414),X_312),X_414),add(multiply(inverse(X_414),X_312),add(multiply(inverse(X_414),X_312),X_414))) ),[1,1],$fot(add(X_312,X_414))]]) ).
cnf(refute_0_3877,plain,
( add(multiply(inverse(X_414),X_312),X_414) != add(multiply(inverse(X_414),X_312),add(multiply(inverse(X_414),X_312),X_414))
| add(multiply(inverse(X_414),X_312),X_414) = add(multiply(inverse(X_414),X_312),add(X_312,X_414)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_414),X_312),X_414),add(X_312,X_414)) )],[refute_0_3875,refute_0_3876]) ).
cnf(refute_0_3878,plain,
add(multiply(inverse(X_414),X_312),X_414) = add(multiply(inverse(X_414),X_312),add(X_312,X_414)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_414),X_312),X_414),add(multiply(inverse(X_414),X_312),add(multiply(inverse(X_414),X_312),X_414))) )],[refute_0_3874,refute_0_3877]) ).
cnf(refute_0_3879,plain,
( add(multiply(inverse(X_414),X_312),X_414) != add(X_312,X_414)
| add(multiply(inverse(X_414),X_312),X_414) != add(multiply(inverse(X_414),X_312),add(X_312,X_414))
| add(X_312,X_414) = add(multiply(inverse(X_414),X_312),add(X_312,X_414)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_414),X_312),X_414),add(multiply(inverse(X_414),X_312),add(X_312,X_414))) ),[0],$fot(add(X_312,X_414))]]) ).
cnf(refute_0_3880,plain,
( add(multiply(inverse(X_414),X_312),X_414) != add(multiply(inverse(X_414),X_312),add(X_312,X_414))
| add(X_312,X_414) = add(multiply(inverse(X_414),X_312),add(X_312,X_414)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_414),X_312),X_414),add(X_312,X_414)) )],[refute_0_3875,refute_0_3879]) ).
cnf(refute_0_3881,plain,
add(X_312,X_414) = add(multiply(inverse(X_414),X_312),add(X_312,X_414)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_414),X_312),X_414),add(multiply(inverse(X_414),X_312),add(X_312,X_414))) )],[refute_0_3878,refute_0_3880]) ).
cnf(refute_0_3882,plain,
add(multiply(inverse(X_424),X_312),X_424) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(multiply(inverse(X_424),X_312),X_424)),
inference(subst,[],[refute_0_3881:[bind(X_312,$fot(multiply(inverse(X_424),X_312))),bind(X_414,$fot(X_424))]]) ).
cnf(refute_0_3883,plain,
add(multiply(inverse(X_424),X_312),X_424) = add(X_312,X_424),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_424))]]) ).
cnf(refute_0_3884,plain,
( add(multiply(inverse(X_424),X_312),X_424) != add(X_312,X_424)
| add(multiply(inverse(X_424),X_312),X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(multiply(inverse(X_424),X_312),X_424))
| add(multiply(inverse(X_424),X_312),X_424) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_424),X_312),X_424),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(multiply(inverse(X_424),X_312),X_424))) ),[1,1],$fot(add(X_312,X_424))]]) ).
cnf(refute_0_3885,plain,
( add(multiply(inverse(X_424),X_312),X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(multiply(inverse(X_424),X_312),X_424))
| add(multiply(inverse(X_424),X_312),X_424) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_424),X_312),X_424),add(X_312,X_424)) )],[refute_0_3883,refute_0_3884]) ).
cnf(refute_0_3886,plain,
add(multiply(inverse(X_424),X_312),X_424) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_424),X_312),X_424),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(multiply(inverse(X_424),X_312),X_424))) )],[refute_0_3882,refute_0_3885]) ).
cnf(refute_0_3887,plain,
( add(multiply(inverse(X_424),X_312),X_424) != add(X_312,X_424)
| add(multiply(inverse(X_424),X_312),X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))
| add(X_312,X_424) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_424),X_312),X_424),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))) ),[0],$fot(add(X_312,X_424))]]) ).
cnf(refute_0_3888,plain,
( add(multiply(inverse(X_424),X_312),X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))
| add(X_312,X_424) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_424),X_312),X_424),add(X_312,X_424)) )],[refute_0_3883,refute_0_3887]) ).
cnf(refute_0_3889,plain,
multiply(inverse(X_424),multiply(inverse(X_424),X_312)) = multiply(X_312,inverse(X_424)),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(inverse(X_424))),bind(X_281,$fot(X_312))]]) ).
cnf(refute_0_3890,plain,
add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) = add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)))]]) ).
cnf(refute_0_3891,plain,
( multiply(inverse(X_424),multiply(inverse(X_424),X_312)) != multiply(X_312,inverse(X_424))
| add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))
| add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))) ),[1,0],$fot(multiply(X_312,inverse(X_424)))]]) ).
cnf(refute_0_3892,plain,
( multiply(inverse(X_424),multiply(inverse(X_424),X_312)) != multiply(X_312,inverse(X_424))
| add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))) )],[refute_0_3890,refute_0_3891]) ).
cnf(refute_0_3893,plain,
add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),multiply(X_312,inverse(X_424))) )],[refute_0_3889,refute_0_3892]) ).
cnf(refute_0_3894,plain,
( add(X_312,X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))
| add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)) != add(multiply(X_312,inverse(X_424)),add(X_312,X_424))
| add(X_312,X_424) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) ),[0],$fot(add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)))]]) ).
cnf(refute_0_3895,plain,
( add(X_312,X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))
| add(X_312,X_424) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) )],[refute_0_3893,refute_0_3894]) ).
cnf(refute_0_3896,plain,
( add(multiply(inverse(X_424),X_312),X_424) != add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))
| add(X_312,X_424) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) ),
inference(resolve,[$cnf( $equal(add(X_312,X_424),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))) )],[refute_0_3888,refute_0_3895]) ).
cnf(refute_0_3897,plain,
add(X_312,X_424) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_424),X_312),X_424),add(multiply(inverse(X_424),multiply(inverse(X_424),X_312)),add(X_312,X_424))) )],[refute_0_3886,refute_0_3896]) ).
cnf(refute_0_3898,plain,
( add(X_312,X_424) != add(multiply(X_312,inverse(X_424)),add(X_312,X_424))
| add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) = add(X_312,X_424) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_312,X_424))),bind(Y0,$fot(add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))]]) ).
cnf(refute_0_3899,plain,
add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) = add(X_312,X_424),
inference(resolve,[$cnf( $equal(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) )],[refute_0_3897,refute_0_3898]) ).
cnf(refute_0_3900,plain,
( add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(X_312,X_424)
| pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) != add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))
| pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590),add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))) ),[1,1,1],$fot(add(X_312,X_424))]]) ).
cnf(refute_0_3901,plain,
( pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) != add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))
| pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(X_312,X_424)) )],[refute_0_3899,refute_0_3900]) ).
cnf(refute_0_3902,plain,
pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424))),
inference(resolve,[$cnf( $equal(pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590),add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))) )],[refute_0_3873,refute_0_3901]) ).
cnf(refute_0_3903,plain,
add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424))) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590)),
inference(subst,[],[refute_0_4:[bind(X,$fot(add(X_312,X_424))),bind(Y,$fot(multiply(X_312,inverse(X_424)))),bind(Z,$fot(X_590))]]) ).
cnf(refute_0_3904,plain,
( add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424))) != multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590))
| pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) != add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424)))
| pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590),add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424)))) ),[1],$fot(multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590)))]]) ).
cnf(refute_0_3905,plain,
( pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) != add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424)))
| pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424))),multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590))) )],[refute_0_3903,refute_0_3904]) ).
cnf(refute_0_3906,plain,
pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_590)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_312,inverse(X_424)),inverse(add(X_312,X_424)),X_590),add(multiply(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_590,add(X_312,X_424)))) )],[refute_0_3902,refute_0_3905]) ).
cnf(refute_0_3907,plain,
pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))),
inference(subst,[],[refute_0_3906:[bind(X_312,$fot(X_571)),bind(X_424,$fot(X_570)),bind(X_590,$fot(multiply(inverse(X_570),X_571)))]]) ).
cnf(refute_0_3908,plain,
( multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) != multiply(X_571,inverse(X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(X_571,inverse(X_570)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)))),bind(Y0,$fot(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))))),bind(Z0,$fot(multiply(X_571,inverse(X_570))))]]) ).
cnf(refute_0_3909,plain,
( multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))) != multiply(X_571,inverse(X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(X_571,inverse(X_570)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)))) )],[refute_0_3907,refute_0_3908]) ).
cnf(refute_0_3910,plain,
pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) = multiply(X_571,inverse(X_570)),
inference(resolve,[$cnf( $equal(multiply(add(X_571,X_570),add(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571))),multiply(X_571,inverse(X_570))) )],[refute_0_3872,refute_0_3909]) ).
cnf(refute_0_3911,plain,
( pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(X_571,inverse(X_570))
| pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(inverse(X_570),X_571)
| multiply(X_571,inverse(X_570)) = multiply(inverse(X_570),X_571) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(inverse(X_570),X_571)) ),[0],$fot(multiply(X_571,inverse(X_570)))]]) ).
cnf(refute_0_3912,plain,
( pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)) != multiply(inverse(X_570),X_571)
| multiply(X_571,inverse(X_570)) = multiply(inverse(X_570),X_571) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(X_571,inverse(X_570))) )],[refute_0_3910,refute_0_3911]) ).
cnf(refute_0_3913,plain,
multiply(X_571,inverse(X_570)) = multiply(inverse(X_570),X_571),
inference(resolve,[$cnf( $equal(pixley(multiply(X_571,inverse(X_570)),inverse(add(X_571,X_570)),multiply(inverse(X_570),X_571)),multiply(inverse(X_570),X_571)) )],[refute_0_3851,refute_0_3912]) ).
cnf(refute_0_3914,plain,
( multiply(X_571,inverse(X_570)) != multiply(inverse(X_570),X_571)
| multiply(inverse(X_570),X_571) = multiply(X_571,inverse(X_570)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_571,inverse(X_570)))),bind(Y0,$fot(multiply(inverse(X_570),X_571)))]]) ).
cnf(refute_0_3915,plain,
multiply(inverse(X_570),X_571) = multiply(X_571,inverse(X_570)),
inference(resolve,[$cnf( $equal(multiply(X_571,inverse(X_570)),multiply(inverse(X_570),X_571)) )],[refute_0_3913,refute_0_3914]) ).
cnf(refute_0_3916,plain,
multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) = multiply(add(X_659,X_660),inverse(add(X_659,X_660))),
inference(subst,[],[refute_0_3915:[bind(X_570,$fot(add(X_659,X_660))),bind(X_571,$fot(add(X_659,X_660)))]]) ).
cnf(refute_0_3917,plain,
( multiply(add(X_659,X_660),inverse(add(X_659,X_660))) != inverse(n1)
| multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) != multiply(add(X_659,X_660),inverse(add(X_659,X_660)))
| multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(add(X_659,X_660)),add(X_659,X_660)))),bind(Y0,$fot(multiply(add(X_659,X_660),inverse(add(X_659,X_660))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_3918,plain,
( multiply(add(X_659,X_660),inverse(add(X_659,X_660))) != inverse(n1)
| multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_659,X_660)),add(X_659,X_660)),multiply(add(X_659,X_660),inverse(add(X_659,X_660)))) )],[refute_0_3916,refute_0_3917]) ).
cnf(refute_0_3919,plain,
multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(add(X_659,X_660),inverse(add(X_659,X_660))),inverse(n1)) )],[refute_0_3731,refute_0_3918]) ).
cnf(refute_0_3920,plain,
( multiply(X_660,inverse(add(X_659,X_660))) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| multiply(inverse(add(X_659,X_660)),add(X_659,X_660)) != inverse(n1)
| multiply(X_660,inverse(add(X_659,X_660))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_660,inverse(add(X_659,X_660))),inverse(n1)) ),[0],$fot(multiply(inverse(add(X_659,X_660)),add(X_659,X_660)))]]) ).
cnf(refute_0_3921,plain,
( multiply(X_660,inverse(add(X_659,X_660))) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| multiply(X_660,inverse(add(X_659,X_660))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_659,X_660)),add(X_659,X_660)),inverse(n1)) )],[refute_0_3919,refute_0_3920]) ).
cnf(refute_0_3922,plain,
( pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1) != multiply(inverse(add(X_659,X_660)),add(X_659,X_660))
| multiply(X_660,inverse(add(X_659,X_660))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X_660,inverse(add(X_659,X_660))),multiply(inverse(add(X_659,X_660)),add(X_659,X_660))) )],[refute_0_3763,refute_0_3921]) ).
cnf(refute_0_3923,plain,
multiply(X_660,inverse(add(X_659,X_660))) = inverse(n1),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,inverse(add(X_659,X_660))),inverse(inverse(n1)),n1),multiply(inverse(add(X_659,X_660)),add(X_659,X_660))) )],[refute_0_3734,refute_0_3922]) ).
cnf(refute_0_3924,plain,
multiply(multiply(inverse(X_661),X_312),inverse(add(X_661,multiply(inverse(X_661),X_312)))) = inverse(n1),
inference(subst,[],[refute_0_3923:[bind(X_659,$fot(X_661)),bind(X_660,$fot(multiply(inverse(X_661),X_312)))]]) ).
cnf(refute_0_3925,plain,
add(X_312,X_661) = add(X_661,multiply(inverse(X_661),X_312)),
inference(subst,[],[refute_0_3718:[bind(X_605,$fot(X_661))]]) ).
cnf(refute_0_3926,plain,
( add(X_312,X_661) != add(X_661,multiply(inverse(X_661),X_312))
| add(X_661,multiply(inverse(X_661),X_312)) = add(X_312,X_661) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_312,X_661))),bind(Y0,$fot(add(X_661,multiply(inverse(X_661),X_312))))]]) ).
cnf(refute_0_3927,plain,
add(X_661,multiply(inverse(X_661),X_312)) = add(X_312,X_661),
inference(resolve,[$cnf( $equal(add(X_312,X_661),add(X_661,multiply(inverse(X_661),X_312))) )],[refute_0_3925,refute_0_3926]) ).
cnf(refute_0_3928,plain,
( multiply(multiply(inverse(X_661),X_312),inverse(add(X_661,multiply(inverse(X_661),X_312)))) != inverse(n1)
| add(X_661,multiply(inverse(X_661),X_312)) != add(X_312,X_661)
| multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_661),X_312),inverse(add(X_661,multiply(inverse(X_661),X_312)))),inverse(n1)) ),[0,1,0],$fot(add(X_312,X_661))]]) ).
cnf(refute_0_3929,plain,
( multiply(multiply(inverse(X_661),X_312),inverse(add(X_661,multiply(inverse(X_661),X_312)))) != inverse(n1)
| multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(X_661,multiply(inverse(X_661),X_312)),add(X_312,X_661)) )],[refute_0_3927,refute_0_3928]) ).
cnf(refute_0_3930,plain,
multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_661),X_312),inverse(add(X_661,multiply(inverse(X_661),X_312)))),inverse(n1)) )],[refute_0_3924,refute_0_3929]) ).
cnf(refute_0_3931,plain,
multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) = multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),
inference(subst,[],[refute_0_3913:[bind(X_570,$fot(add(X_312,X_661))),bind(X_571,$fot(multiply(inverse(X_661),X_312)))]]) ).
cnf(refute_0_3932,plain,
( multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) != multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312))
| multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) != inverse(n1)
| multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))),inverse(n1)) ),[0],$fot(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)))]]) ).
cnf(refute_0_3933,plain,
( multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))) != inverse(n1)
| multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))),multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312))) )],[refute_0_3931,refute_0_3932]) ).
cnf(refute_0_3934,plain,
multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_661),X_312),inverse(add(X_312,X_661))),inverse(n1)) )],[refute_0_3930,refute_0_3933]) ).
cnf(refute_0_3935,plain,
( multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)) != inverse(n1)
| pixley(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),add(X_312,X_661),X_778) != multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))
| pixley(inverse(n1),add(X_312,X_661),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),add(X_312,X_661),X_778),multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))) ),[0,0],$fot(inverse(n1))]]) ).
cnf(refute_0_3936,plain,
( pixley(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),add(X_312,X_661),X_778) != multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))
| pixley(inverse(n1),add(X_312,X_661),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),inverse(n1)) )],[refute_0_3934,refute_0_3935]) ).
cnf(refute_0_3937,plain,
pixley(inverse(n1),add(X_312,X_661),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(add(X_312,X_661)),multiply(inverse(X_661),X_312)),add(X_312,X_661),X_778),multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))) )],[refute_0_3720,refute_0_3936]) ).
cnf(refute_0_3938,plain,
pixley(inverse(n1),add(X_312,X_661),X_778) = multiply(inverse(add(X_312,X_661)),X_778),
inference(subst,[],[refute_0_2170:[bind(Y,$fot(add(X_312,X_661))),bind(Z,$fot(X_778))]]) ).
cnf(refute_0_3939,plain,
( pixley(inverse(n1),add(X_312,X_661),X_778) != multiply(inverse(add(X_312,X_661)),X_778)
| pixley(inverse(n1),add(X_312,X_661),X_778) != multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))
| multiply(inverse(add(X_312,X_661)),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),add(X_312,X_661),X_778),multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))) ),[0],$fot(multiply(inverse(add(X_312,X_661)),X_778))]]) ).
cnf(refute_0_3940,plain,
( pixley(inverse(n1),add(X_312,X_661),X_778) != multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))
| multiply(inverse(add(X_312,X_661)),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),add(X_312,X_661),X_778),multiply(inverse(add(X_312,X_661)),X_778)) )],[refute_0_3938,refute_0_3939]) ).
cnf(refute_0_3941,plain,
multiply(inverse(add(X_312,X_661)),X_778) = multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778)),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),add(X_312,X_661),X_778),multiply(inverse(add(X_312,X_661)),add(multiply(inverse(X_661),X_312),X_778))) )],[refute_0_3937,refute_0_3940]) ).
cnf(refute_0_3942,plain,
multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150))),
inference(subst,[],[refute_0_3941:[bind(X_312,$fot(X_1150)),bind(X_661,$fot(X_1151)),bind(X_778,$fot(multiply(Z,X_1150)))]]) ).
cnf(refute_0_3943,plain,
multiply(X_1150,add(inverse(X_1151),Z)) = add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_1150)),bind(Y,$fot(inverse(X_1151)))]]) ).
cnf(refute_0_3944,plain,
( multiply(X_1150,add(inverse(X_1151),Z)) != add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150))
| add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)) = multiply(X_1150,add(inverse(X_1151),Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_1150,add(inverse(X_1151),Z)))),bind(Y0,$fot(add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150))))]]) ).
cnf(refute_0_3945,plain,
add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)) = multiply(X_1150,add(inverse(X_1151),Z)),
inference(resolve,[$cnf( $equal(multiply(X_1150,add(inverse(X_1151),Z)),add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150))) )],[refute_0_3943,refute_0_3944]) ).
cnf(refute_0_3946,plain,
( multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) != multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)))
| add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)) != multiply(X_1150,add(inverse(X_1151),Z))
| multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)),multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)))) ),[1,1],$fot(multiply(X_1150,add(inverse(X_1151),Z)))]]) ).
cnf(refute_0_3947,plain,
( multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) != multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)))
| multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)),multiply(X_1150,add(inverse(X_1151),Z))) )],[refute_0_3945,refute_0_3946]) ).
cnf(refute_0_3948,plain,
multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)),multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),multiply(Z,X_1150)))) )],[refute_0_3942,refute_0_3947]) ).
cnf(refute_0_3949,plain,
pixley(multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))),X_777,X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)),
inference(subst,[],[refute_0_3598:[bind(X_774,$fot(X_777)),bind(X_775,$fot(X_778)),bind(X_776,$fot(inverse(add(inverse(X_777),X_661))))]]) ).
cnf(refute_0_3950,plain,
multiply(X_662,inverse(add(X_661,X_662))) = inverse(n1),
inference(subst,[],[refute_0_3923:[bind(X_659,$fot(X_661)),bind(X_660,$fot(X_662))]]) ).
cnf(refute_0_3951,plain,
add(X_662,X_661) = add(X_661,X_662),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_661)),bind(X_605,$fot(X_662))]]) ).
cnf(refute_0_3952,plain,
( add(X_662,X_661) != add(X_661,X_662)
| add(X_661,X_662) = add(X_662,X_661) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_662,X_661))),bind(Y0,$fot(add(X_661,X_662)))]]) ).
cnf(refute_0_3953,plain,
add(X_661,X_662) = add(X_662,X_661),
inference(resolve,[$cnf( $equal(add(X_662,X_661),add(X_661,X_662)) )],[refute_0_3951,refute_0_3952]) ).
cnf(refute_0_3954,plain,
( multiply(X_662,inverse(add(X_661,X_662))) != inverse(n1)
| add(X_661,X_662) != add(X_662,X_661)
| multiply(X_662,inverse(add(X_662,X_661))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_662,inverse(add(X_661,X_662))),inverse(n1)) ),[0,1,0],$fot(add(X_662,X_661))]]) ).
cnf(refute_0_3955,plain,
( multiply(X_662,inverse(add(X_661,X_662))) != inverse(n1)
| multiply(X_662,inverse(add(X_662,X_661))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(X_661,X_662),add(X_662,X_661)) )],[refute_0_3953,refute_0_3954]) ).
cnf(refute_0_3956,plain,
multiply(X_662,inverse(add(X_662,X_661))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_662,inverse(add(X_661,X_662))),inverse(n1)) )],[refute_0_3950,refute_0_3955]) ).
cnf(refute_0_3957,plain,
multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))) = inverse(n1),
inference(subst,[],[refute_0_3956:[bind(X_662,$fot(inverse(X_777)))]]) ).
cnf(refute_0_3958,plain,
( multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))) != inverse(n1)
| pixley(multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))),X_777,X_778) != multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))
| pixley(inverse(n1),X_777,X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))),X_777,X_778),multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))) ),[0,0],$fot(inverse(n1))]]) ).
cnf(refute_0_3959,plain,
( pixley(multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))),X_777,X_778) != multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))
| pixley(inverse(n1),X_777,X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))),inverse(n1)) )],[refute_0_3957,refute_0_3958]) ).
cnf(refute_0_3960,plain,
pixley(inverse(n1),X_777,X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_777),inverse(add(inverse(X_777),X_661))),X_777,X_778),multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))) )],[refute_0_3949,refute_0_3959]) ).
cnf(refute_0_3961,plain,
pixley(inverse(n1),X_777,X_778) = multiply(inverse(X_777),X_778),
inference(subst,[],[refute_0_2170:[bind(Y,$fot(X_777)),bind(Z,$fot(X_778))]]) ).
cnf(refute_0_3962,plain,
( pixley(inverse(n1),X_777,X_778) != multiply(inverse(X_777),X_778)
| pixley(inverse(n1),X_777,X_778) != multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))
| multiply(inverse(X_777),X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),X_777,X_778),multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))) ),[0],$fot(multiply(inverse(X_777),X_778))]]) ).
cnf(refute_0_3963,plain,
( pixley(inverse(n1),X_777,X_778) != multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))
| multiply(inverse(X_777),X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_777,X_778),multiply(inverse(X_777),X_778)) )],[refute_0_3961,refute_0_3962]) ).
cnf(refute_0_3964,plain,
multiply(inverse(X_777),X_778) = multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778)),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_777,X_778),multiply(inverse(X_777),add(inverse(add(inverse(X_777),X_661)),X_778))) )],[refute_0_3960,refute_0_3963]) ).
cnf(refute_0_3965,plain,
multiply(inverse(inverse(Y)),X_782) = multiply(inverse(inverse(Y)),add(inverse(add(inverse(inverse(Y)),X_780)),X_782)),
inference(subst,[],[refute_0_3964:[bind(X_661,$fot(X_780)),bind(X_777,$fot(inverse(Y))),bind(X_778,$fot(X_782))]]) ).
cnf(refute_0_3966,plain,
( multiply(inverse(inverse(Y)),X_782) != multiply(inverse(inverse(Y)),add(inverse(add(inverse(inverse(Y)),X_780)),X_782))
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_782) = multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(inverse(inverse(Y)),add(inverse(add(inverse(inverse(Y)),X_780)),X_782))) ),[1,1,0,0,0],$fot(Y)]]) ).
cnf(refute_0_3967,plain,
( multiply(inverse(inverse(Y)),X_782) != multiply(inverse(inverse(Y)),add(inverse(add(inverse(inverse(Y)),X_780)),X_782))
| multiply(inverse(inverse(Y)),X_782) = multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3966]) ).
cnf(refute_0_3968,plain,
multiply(inverse(inverse(Y)),X_782) = multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(inverse(inverse(Y)),add(inverse(add(inverse(inverse(Y)),X_780)),X_782))) )],[refute_0_3965,refute_0_3967]) ).
cnf(refute_0_3969,plain,
multiply(inverse(inverse(Y)),X_782) = multiply(inverse(inverse(Y)),X_782),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),X_782))]]) ).
cnf(refute_0_3970,plain,
( multiply(inverse(inverse(Y)),X_782) != multiply(inverse(inverse(Y)),X_782)
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_782) = multiply(Y,X_782) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(inverse(inverse(Y)),X_782)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_3971,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),X_782) = multiply(Y,X_782) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(inverse(inverse(Y)),X_782)) )],[refute_0_3969,refute_0_3970]) ).
cnf(refute_0_3972,plain,
multiply(inverse(inverse(Y)),X_782) = multiply(Y,X_782),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3971]) ).
cnf(refute_0_3973,plain,
( multiply(inverse(inverse(Y)),X_782) != multiply(Y,X_782)
| multiply(inverse(inverse(Y)),X_782) != multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))
| multiply(Y,X_782) = multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))) ),[0],$fot(multiply(Y,X_782))]]) ).
cnf(refute_0_3974,plain,
( multiply(inverse(inverse(Y)),X_782) != multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))
| multiply(Y,X_782) = multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(Y,X_782)) )],[refute_0_3972,refute_0_3973]) ).
cnf(refute_0_3975,plain,
multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) = multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)))]]) ).
cnf(refute_0_3976,plain,
( multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) != multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) = multiply(Y,add(inverse(add(Y,X_780)),X_782)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)),multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_3977,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) = multiply(Y,add(inverse(add(Y,X_780)),X_782)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)),multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))) )],[refute_0_3975,refute_0_3976]) ).
cnf(refute_0_3978,plain,
multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) = multiply(Y,add(inverse(add(Y,X_780)),X_782)),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_3977]) ).
cnf(refute_0_3979,plain,
( multiply(Y,X_782) != multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))
| multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)) != multiply(Y,add(inverse(add(Y,X_780)),X_782))
| multiply(Y,X_782) = multiply(Y,add(inverse(add(Y,X_780)),X_782)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,X_782),multiply(Y,add(inverse(add(Y,X_780)),X_782))) ),[0],$fot(multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)))]]) ).
cnf(refute_0_3980,plain,
( multiply(Y,X_782) != multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))
| multiply(Y,X_782) = multiply(Y,add(inverse(add(Y,X_780)),X_782)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782)),multiply(Y,add(inverse(add(Y,X_780)),X_782))) )],[refute_0_3978,refute_0_3979]) ).
cnf(refute_0_3981,plain,
( multiply(inverse(inverse(Y)),X_782) != multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))
| multiply(Y,X_782) = multiply(Y,add(inverse(add(Y,X_780)),X_782)) ),
inference(resolve,[$cnf( $equal(multiply(Y,X_782),multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))) )],[refute_0_3974,refute_0_3980]) ).
cnf(refute_0_3982,plain,
multiply(Y,X_782) = multiply(Y,add(inverse(add(Y,X_780)),X_782)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),X_782),multiply(inverse(inverse(Y)),add(inverse(add(Y,X_780)),X_782))) )],[refute_0_3968,refute_0_3981]) ).
cnf(refute_0_3983,plain,
multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784)))),
inference(subst,[],[refute_0_3982:[bind(Y,$fot(X_783)),bind(X_780,$fot(X_784)),bind(X_782,$fot(multiply(X_281,add(X_783,X_784))))]]) ).
cnf(refute_0_3984,plain,
add(multiply(X_281,X_311),inverse(X_311)) = add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)),
inference(subst,[],[refute_0_3411:[bind(Y,$fot(multiply(X_281,X_311))),bind(X_603,$fot(inverse(X_311)))]]) ).
cnf(refute_0_3985,plain,
( add(multiply(X_281,X_311),inverse(X_311)) != add(X_281,inverse(X_311))
| add(multiply(X_281,X_311),inverse(X_311)) != add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))
| add(X_281,inverse(X_311)) = add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_281,X_311),inverse(X_311)),add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))) ),[0],$fot(add(X_281,inverse(X_311)))]]) ).
cnf(refute_0_3986,plain,
( add(multiply(X_281,X_311),inverse(X_311)) != add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))
| add(X_281,inverse(X_311)) = add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),inverse(X_311)),add(X_281,inverse(X_311))) )],[refute_0_3805,refute_0_3985]) ).
cnf(refute_0_3987,plain,
add(X_281,inverse(X_311)) = add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),inverse(X_311)),add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))) )],[refute_0_3984,refute_0_3986]) ).
cnf(refute_0_3988,plain,
add(multiply(X_281,X_311),inverse(X_311)) = add(inverse(X_311),multiply(X_281,X_311)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(multiply(X_281,X_311))),bind(X_605,$fot(inverse(X_311)))]]) ).
cnf(refute_0_3989,plain,
add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) = add(multiply(X_281,X_311),inverse(X_311)),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(multiply(X_281,X_311))),bind(X_412,$fot(inverse(X_311)))]]) ).
cnf(refute_0_3990,plain,
( add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) != add(multiply(X_281,X_311),inverse(X_311))
| add(multiply(X_281,X_311),inverse(X_311)) != add(inverse(X_311),multiply(X_281,X_311))
| add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) = add(inverse(X_311),multiply(X_281,X_311)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))))),bind(Y0,$fot(add(multiply(X_281,X_311),inverse(X_311)))),bind(Z0,$fot(add(inverse(X_311),multiply(X_281,X_311))))]]) ).
cnf(refute_0_3991,plain,
( add(multiply(X_281,X_311),inverse(X_311)) != add(inverse(X_311),multiply(X_281,X_311))
| add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) = add(inverse(X_311),multiply(X_281,X_311)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))),add(multiply(X_281,X_311),inverse(X_311))) )],[refute_0_3989,refute_0_3990]) ).
cnf(refute_0_3992,plain,
add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) = add(inverse(X_311),multiply(X_281,X_311)),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),inverse(X_311)),add(inverse(X_311),multiply(X_281,X_311))) )],[refute_0_3988,refute_0_3991]) ).
cnf(refute_0_3993,plain,
add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) = add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(add(multiply(X_281,X_311),inverse(X_311)))),bind(X_605,$fot(multiply(X_281,X_311)))]]) ).
cnf(refute_0_3994,plain,
( add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) != add(inverse(X_311),multiply(X_281,X_311))
| add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) != add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311)))
| add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) = add(inverse(X_311),multiply(X_281,X_311)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)))),bind(Y0,$fot(add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))))),bind(Z0,$fot(add(inverse(X_311),multiply(X_281,X_311))))]]) ).
cnf(refute_0_3995,plain,
( add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))) != add(inverse(X_311),multiply(X_281,X_311))
| add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) = add(inverse(X_311),multiply(X_281,X_311)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)),add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311)))) )],[refute_0_3993,refute_0_3994]) ).
cnf(refute_0_3996,plain,
add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) = add(inverse(X_311),multiply(X_281,X_311)),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_311),add(multiply(X_281,X_311),inverse(X_311))),add(inverse(X_311),multiply(X_281,X_311))) )],[refute_0_3992,refute_0_3995]) ).
cnf(refute_0_3997,plain,
( add(X_281,inverse(X_311)) != add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))
| add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)) != add(inverse(X_311),multiply(X_281,X_311))
| add(X_281,inverse(X_311)) = add(inverse(X_311),multiply(X_281,X_311)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_281,inverse(X_311)),add(inverse(X_311),multiply(X_281,X_311))) ),[0],$fot(add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)))]]) ).
cnf(refute_0_3998,plain,
( add(X_281,inverse(X_311)) != add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))
| add(X_281,inverse(X_311)) = add(inverse(X_311),multiply(X_281,X_311)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311)),add(inverse(X_311),multiply(X_281,X_311))) )],[refute_0_3996,refute_0_3997]) ).
cnf(refute_0_3999,plain,
add(X_281,inverse(X_311)) = add(inverse(X_311),multiply(X_281,X_311)),
inference(resolve,[$cnf( $equal(add(X_281,inverse(X_311)),add(add(multiply(X_281,X_311),inverse(X_311)),multiply(X_281,X_311))) )],[refute_0_3987,refute_0_3998]) ).
cnf(refute_0_4000,plain,
add(X_281,inverse(add(X_783,X_784))) = add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))),
inference(subst,[],[refute_0_3999:[bind(X_311,$fot(add(X_783,X_784)))]]) ).
cnf(refute_0_4001,plain,
( add(X_281,inverse(add(X_783,X_784))) != add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784)))
| add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))) = add(X_281,inverse(add(X_783,X_784))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_281,inverse(add(X_783,X_784))))),bind(Y0,$fot(add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784)))))]]) ).
cnf(refute_0_4002,plain,
add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))) = add(X_281,inverse(add(X_783,X_784))),
inference(resolve,[$cnf( $equal(add(X_281,inverse(add(X_783,X_784))),add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784)))) )],[refute_0_4000,refute_0_4001]) ).
cnf(refute_0_4003,plain,
( multiply(X_783,multiply(X_281,add(X_783,X_784))) != multiply(X_783,add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))))
| add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))) != add(X_281,inverse(add(X_783,X_784)))
| multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_783,multiply(X_281,add(X_783,X_784))),multiply(X_783,add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))))) ),[1,1],$fot(add(X_281,inverse(add(X_783,X_784))))]]) ).
cnf(refute_0_4004,plain,
( multiply(X_783,multiply(X_281,add(X_783,X_784))) != multiply(X_783,add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))))
| multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))),add(X_281,inverse(add(X_783,X_784)))) )],[refute_0_4002,refute_0_4003]) ).
cnf(refute_0_4005,plain,
multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,add(X_281,inverse(add(X_783,X_784)))),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(X_281,add(X_783,X_784))),multiply(X_783,add(inverse(add(X_783,X_784)),multiply(X_281,add(X_783,X_784))))) )],[refute_0_3983,refute_0_4004]) ).
cnf(refute_0_4006,plain,
multiply(X_783,X_785) = multiply(X_783,add(inverse(add(X_783,X_784)),X_785)),
inference(subst,[],[refute_0_3982:[bind(Y,$fot(X_783)),bind(X_780,$fot(X_784)),bind(X_782,$fot(X_785))]]) ).
cnf(refute_0_4007,plain,
add(X_785,inverse(add(X_783,X_784))) = add(inverse(add(X_783,X_784)),X_785),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(inverse(add(X_783,X_784)))),bind(X_605,$fot(X_785))]]) ).
cnf(refute_0_4008,plain,
( add(X_785,inverse(add(X_783,X_784))) != add(inverse(add(X_783,X_784)),X_785)
| add(inverse(add(X_783,X_784)),X_785) = add(X_785,inverse(add(X_783,X_784))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_785,inverse(add(X_783,X_784))))),bind(Y0,$fot(add(inverse(add(X_783,X_784)),X_785)))]]) ).
cnf(refute_0_4009,plain,
add(inverse(add(X_783,X_784)),X_785) = add(X_785,inverse(add(X_783,X_784))),
inference(resolve,[$cnf( $equal(add(X_785,inverse(add(X_783,X_784))),add(inverse(add(X_783,X_784)),X_785)) )],[refute_0_4007,refute_0_4008]) ).
cnf(refute_0_4010,plain,
( multiply(X_783,X_785) != multiply(X_783,add(inverse(add(X_783,X_784)),X_785))
| add(inverse(add(X_783,X_784)),X_785) != add(X_785,inverse(add(X_783,X_784)))
| multiply(X_783,X_785) = multiply(X_783,add(X_785,inverse(add(X_783,X_784)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_783,X_785),multiply(X_783,add(inverse(add(X_783,X_784)),X_785))) ),[1,1],$fot(add(X_785,inverse(add(X_783,X_784))))]]) ).
cnf(refute_0_4011,plain,
( multiply(X_783,X_785) != multiply(X_783,add(inverse(add(X_783,X_784)),X_785))
| multiply(X_783,X_785) = multiply(X_783,add(X_785,inverse(add(X_783,X_784)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_783,X_784)),X_785),add(X_785,inverse(add(X_783,X_784)))) )],[refute_0_4009,refute_0_4010]) ).
cnf(refute_0_4012,plain,
multiply(X_783,X_785) = multiply(X_783,add(X_785,inverse(add(X_783,X_784)))),
inference(resolve,[$cnf( $equal(multiply(X_783,X_785),multiply(X_783,add(inverse(add(X_783,X_784)),X_785))) )],[refute_0_4006,refute_0_4011]) ).
cnf(refute_0_4013,plain,
multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312))),
inference(subst,[],[refute_0_3982:[bind(Y,$fot(X_783)),bind(X_780,$fot(X_784)),bind(X_782,$fot(multiply(inverse(inverse(add(X_783,X_784))),X_312)))]]) ).
cnf(refute_0_4014,plain,
add(X_312,inverse(add(X_783,X_784))) = add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)),
inference(subst,[],[refute_0_3718:[bind(X_605,$fot(inverse(add(X_783,X_784))))]]) ).
cnf(refute_0_4015,plain,
( add(X_312,inverse(add(X_783,X_784))) != add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312))
| add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)) = add(X_312,inverse(add(X_783,X_784))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_312,inverse(add(X_783,X_784))))),bind(Y0,$fot(add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312))))]]) ).
cnf(refute_0_4016,plain,
add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)) = add(X_312,inverse(add(X_783,X_784))),
inference(resolve,[$cnf( $equal(add(X_312,inverse(add(X_783,X_784))),add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312))) )],[refute_0_4014,refute_0_4015]) ).
cnf(refute_0_4017,plain,
( multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) != multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)))
| add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)) != add(X_312,inverse(add(X_783,X_784)))
| multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,add(X_312,inverse(add(X_783,X_784)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)))) ),[1,1],$fot(add(X_312,inverse(add(X_783,X_784))))]]) ).
cnf(refute_0_4018,plain,
( multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) != multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)))
| multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,add(X_312,inverse(add(X_783,X_784)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)),add(X_312,inverse(add(X_783,X_784)))) )],[refute_0_4016,refute_0_4017]) ).
cnf(refute_0_4019,plain,
multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,add(X_312,inverse(add(X_783,X_784)))),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(inverse(add(X_783,X_784))),X_312)))) )],[refute_0_4013,refute_0_4018]) ).
cnf(refute_0_4020,plain,
inverse(inverse(add(X_783,X_784))) = add(X_783,X_784),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(X_783,X_784)))]]) ).
cnf(refute_0_4021,plain,
multiply(inverse(inverse(add(X_783,X_784))),X_312) = multiply(inverse(inverse(add(X_783,X_784))),X_312),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(add(X_783,X_784))),X_312))]]) ).
cnf(refute_0_4022,plain,
( multiply(inverse(inverse(add(X_783,X_784))),X_312) != multiply(inverse(inverse(add(X_783,X_784))),X_312)
| inverse(inverse(add(X_783,X_784))) != add(X_783,X_784)
| multiply(inverse(inverse(add(X_783,X_784))),X_312) = multiply(add(X_783,X_784),X_312) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(add(X_783,X_784))),X_312),multiply(inverse(inverse(add(X_783,X_784))),X_312)) ),[1,0],$fot(add(X_783,X_784))]]) ).
cnf(refute_0_4023,plain,
( inverse(inverse(add(X_783,X_784))) != add(X_783,X_784)
| multiply(inverse(inverse(add(X_783,X_784))),X_312) = multiply(add(X_783,X_784),X_312) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(add(X_783,X_784))),X_312),multiply(inverse(inverse(add(X_783,X_784))),X_312)) )],[refute_0_4021,refute_0_4022]) ).
cnf(refute_0_4024,plain,
multiply(inverse(inverse(add(X_783,X_784))),X_312) = multiply(add(X_783,X_784),X_312),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_783,X_784))),add(X_783,X_784)) )],[refute_0_4020,refute_0_4023]) ).
cnf(refute_0_4025,plain,
multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),
introduced(tautology,[refl,[$fot(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)))]]) ).
cnf(refute_0_4026,plain,
( multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) != multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312))
| multiply(inverse(inverse(add(X_783,X_784))),X_312) != multiply(add(X_783,X_784),X_312)
| multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,multiply(add(X_783,X_784),X_312)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312))) ),[1,1],$fot(multiply(add(X_783,X_784),X_312))]]) ).
cnf(refute_0_4027,plain,
( multiply(inverse(inverse(add(X_783,X_784))),X_312) != multiply(add(X_783,X_784),X_312)
| multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,multiply(add(X_783,X_784),X_312)) ),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312))) )],[refute_0_4025,refute_0_4026]) ).
cnf(refute_0_4028,plain,
multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) = multiply(X_783,multiply(add(X_783,X_784),X_312)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(add(X_783,X_784))),X_312),multiply(add(X_783,X_784),X_312)) )],[refute_0_4024,refute_0_4027]) ).
cnf(refute_0_4029,plain,
( multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) != multiply(X_783,multiply(add(X_783,X_784),X_312))
| multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) != multiply(X_783,add(X_312,inverse(add(X_783,X_784))))
| multiply(X_783,multiply(add(X_783,X_784),X_312)) = multiply(X_783,add(X_312,inverse(add(X_783,X_784)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,add(X_312,inverse(add(X_783,X_784))))) ),[0],$fot(multiply(X_783,multiply(add(X_783,X_784),X_312)))]]) ).
cnf(refute_0_4030,plain,
( multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)) != multiply(X_783,add(X_312,inverse(add(X_783,X_784))))
| multiply(X_783,multiply(add(X_783,X_784),X_312)) = multiply(X_783,add(X_312,inverse(add(X_783,X_784)))) ),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,multiply(add(X_783,X_784),X_312))) )],[refute_0_4028,refute_0_4029]) ).
cnf(refute_0_4031,plain,
multiply(X_783,multiply(add(X_783,X_784),X_312)) = multiply(X_783,add(X_312,inverse(add(X_783,X_784)))),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(inverse(inverse(add(X_783,X_784))),X_312)),multiply(X_783,add(X_312,inverse(add(X_783,X_784))))) )],[refute_0_4019,refute_0_4030]) ).
cnf(refute_0_4032,plain,
( multiply(X_783,multiply(add(X_783,X_784),X_312)) != multiply(X_783,add(X_312,inverse(add(X_783,X_784))))
| multiply(X_783,add(X_312,inverse(add(X_783,X_784)))) = multiply(X_783,multiply(add(X_783,X_784),X_312)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_783,multiply(add(X_783,X_784),X_312)))),bind(Y0,$fot(multiply(X_783,add(X_312,inverse(add(X_783,X_784))))))]]) ).
cnf(refute_0_4033,plain,
multiply(X_783,add(X_312,inverse(add(X_783,X_784)))) = multiply(X_783,multiply(add(X_783,X_784),X_312)),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(add(X_783,X_784),X_312)),multiply(X_783,add(X_312,inverse(add(X_783,X_784))))) )],[refute_0_4031,refute_0_4032]) ).
cnf(refute_0_4034,plain,
multiply(X_783,add(X_785,inverse(add(X_783,X_784)))) = multiply(X_783,multiply(add(X_783,X_784),X_785)),
inference(subst,[],[refute_0_4033:[bind(X_312,$fot(X_785))]]) ).
cnf(refute_0_4035,plain,
( multiply(X_783,X_785) != multiply(X_783,add(X_785,inverse(add(X_783,X_784))))
| multiply(X_783,add(X_785,inverse(add(X_783,X_784)))) != multiply(X_783,multiply(add(X_783,X_784),X_785))
| multiply(X_783,X_785) = multiply(X_783,multiply(add(X_783,X_784),X_785)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_783,X_785),multiply(X_783,multiply(add(X_783,X_784),X_785))) ),[0],$fot(multiply(X_783,add(X_785,inverse(add(X_783,X_784)))))]]) ).
cnf(refute_0_4036,plain,
( multiply(X_783,X_785) != multiply(X_783,add(X_785,inverse(add(X_783,X_784))))
| multiply(X_783,X_785) = multiply(X_783,multiply(add(X_783,X_784),X_785)) ),
inference(resolve,[$cnf( $equal(multiply(X_783,add(X_785,inverse(add(X_783,X_784)))),multiply(X_783,multiply(add(X_783,X_784),X_785))) )],[refute_0_4034,refute_0_4035]) ).
cnf(refute_0_4037,plain,
multiply(X_783,X_785) = multiply(X_783,multiply(add(X_783,X_784),X_785)),
inference(resolve,[$cnf( $equal(multiply(X_783,X_785),multiply(X_783,add(X_785,inverse(add(X_783,X_784))))) )],[refute_0_4012,refute_0_4036]) ).
cnf(refute_0_4038,plain,
( multiply(X_783,X_785) != multiply(X_783,multiply(add(X_783,X_784),X_785))
| multiply(X_783,multiply(add(X_783,X_784),X_785)) = multiply(X_783,X_785) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_783,X_785))),bind(Y0,$fot(multiply(X_783,multiply(add(X_783,X_784),X_785))))]]) ).
cnf(refute_0_4039,plain,
multiply(X_783,multiply(add(X_783,X_784),X_785)) = multiply(X_783,X_785),
inference(resolve,[$cnf( $equal(multiply(X_783,X_785),multiply(X_783,multiply(add(X_783,X_784),X_785))) )],[refute_0_4037,refute_0_4038]) ).
cnf(refute_0_4040,plain,
multiply(X_783,multiply(add(X_783,X_784),X_281)) = multiply(X_783,X_281),
inference(subst,[],[refute_0_4039:[bind(X_785,$fot(X_281))]]) ).
cnf(refute_0_4041,plain,
multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) = multiply(X_783,multiply(add(X_783,X_784),X_281)),
inference(subst,[],[refute_0_4033:[bind(X_312,$fot(X_281))]]) ).
cnf(refute_0_4042,plain,
( multiply(X_783,multiply(add(X_783,X_784),X_281)) != multiply(X_783,X_281)
| multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) != multiply(X_783,multiply(add(X_783,X_784),X_281))
| multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) = multiply(X_783,X_281) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_783,add(X_281,inverse(add(X_783,X_784)))))),bind(Y0,$fot(multiply(X_783,multiply(add(X_783,X_784),X_281)))),bind(Z0,$fot(multiply(X_783,X_281)))]]) ).
cnf(refute_0_4043,plain,
( multiply(X_783,multiply(add(X_783,X_784),X_281)) != multiply(X_783,X_281)
| multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) = multiply(X_783,X_281) ),
inference(resolve,[$cnf( $equal(multiply(X_783,add(X_281,inverse(add(X_783,X_784)))),multiply(X_783,multiply(add(X_783,X_784),X_281))) )],[refute_0_4041,refute_0_4042]) ).
cnf(refute_0_4044,plain,
multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) = multiply(X_783,X_281),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(add(X_783,X_784),X_281)),multiply(X_783,X_281)) )],[refute_0_4040,refute_0_4043]) ).
cnf(refute_0_4045,plain,
( multiply(X_783,multiply(X_281,add(X_783,X_784))) != multiply(X_783,add(X_281,inverse(add(X_783,X_784))))
| multiply(X_783,add(X_281,inverse(add(X_783,X_784)))) != multiply(X_783,X_281)
| multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,X_281) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_783,multiply(X_281,add(X_783,X_784))),multiply(X_783,X_281)) ),[0],$fot(multiply(X_783,add(X_281,inverse(add(X_783,X_784)))))]]) ).
cnf(refute_0_4046,plain,
( multiply(X_783,multiply(X_281,add(X_783,X_784))) != multiply(X_783,add(X_281,inverse(add(X_783,X_784))))
| multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,X_281) ),
inference(resolve,[$cnf( $equal(multiply(X_783,add(X_281,inverse(add(X_783,X_784)))),multiply(X_783,X_281)) )],[refute_0_4044,refute_0_4045]) ).
cnf(refute_0_4047,plain,
multiply(X_783,multiply(X_281,add(X_783,X_784))) = multiply(X_783,X_281),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(X_281,add(X_783,X_784))),multiply(X_783,add(X_281,inverse(add(X_783,X_784))))) )],[refute_0_4005,refute_0_4046]) ).
cnf(refute_0_4048,plain,
multiply(inverse(add(X_933,X_780)),multiply(X_933,add(inverse(add(X_933,X_780)),X_935))) = multiply(inverse(add(X_933,X_780)),X_933),
inference(subst,[],[refute_0_4047:[bind(X_281,$fot(X_933)),bind(X_783,$fot(inverse(add(X_933,X_780)))),bind(X_784,$fot(X_935))]]) ).
cnf(refute_0_4049,plain,
multiply(X_933,X_935) = multiply(X_933,add(inverse(add(X_933,X_780)),X_935)),
inference(subst,[],[refute_0_3982:[bind(Y,$fot(X_933)),bind(X_782,$fot(X_935))]]) ).
cnf(refute_0_4050,plain,
( multiply(X_933,X_935) != multiply(X_933,add(inverse(add(X_933,X_780)),X_935))
| multiply(X_933,add(inverse(add(X_933,X_780)),X_935)) = multiply(X_933,X_935) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_933,X_935))),bind(Y0,$fot(multiply(X_933,add(inverse(add(X_933,X_780)),X_935))))]]) ).
cnf(refute_0_4051,plain,
multiply(X_933,add(inverse(add(X_933,X_780)),X_935)) = multiply(X_933,X_935),
inference(resolve,[$cnf( $equal(multiply(X_933,X_935),multiply(X_933,add(inverse(add(X_933,X_780)),X_935))) )],[refute_0_4049,refute_0_4050]) ).
cnf(refute_0_4052,plain,
( multiply(X_933,add(inverse(add(X_933,X_780)),X_935)) != multiply(X_933,X_935)
| multiply(inverse(add(X_933,X_780)),multiply(X_933,add(inverse(add(X_933,X_780)),X_935))) != multiply(inverse(add(X_933,X_780)),X_933)
| multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) = multiply(inverse(add(X_933,X_780)),X_933) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_933,X_780)),multiply(X_933,add(inverse(add(X_933,X_780)),X_935))),multiply(inverse(add(X_933,X_780)),X_933)) ),[0,1],$fot(multiply(X_933,X_935))]]) ).
cnf(refute_0_4053,plain,
( multiply(inverse(add(X_933,X_780)),multiply(X_933,add(inverse(add(X_933,X_780)),X_935))) != multiply(inverse(add(X_933,X_780)),X_933)
| multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) = multiply(inverse(add(X_933,X_780)),X_933) ),
inference(resolve,[$cnf( $equal(multiply(X_933,add(inverse(add(X_933,X_780)),X_935)),multiply(X_933,X_935)) )],[refute_0_4051,refute_0_4052]) ).
cnf(refute_0_4054,plain,
multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) = multiply(inverse(add(X_933,X_780)),X_933),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_933,X_780)),multiply(X_933,add(inverse(add(X_933,X_780)),X_935))),multiply(inverse(add(X_933,X_780)),X_933)) )],[refute_0_4048,refute_0_4053]) ).
cnf(refute_0_4055,plain,
multiply(X_933,inverse(add(X_933,X_780))) = inverse(n1),
inference(subst,[],[refute_0_3956:[bind(X_661,$fot(X_780)),bind(X_662,$fot(X_933))]]) ).
cnf(refute_0_4056,plain,
multiply(inverse(add(X_933,X_780)),X_933) = multiply(X_933,inverse(add(X_933,X_780))),
inference(subst,[],[refute_0_3915:[bind(X_570,$fot(add(X_933,X_780))),bind(X_571,$fot(X_933))]]) ).
cnf(refute_0_4057,plain,
( multiply(X_933,inverse(add(X_933,X_780))) != inverse(n1)
| multiply(inverse(add(X_933,X_780)),X_933) != multiply(X_933,inverse(add(X_933,X_780)))
| multiply(inverse(add(X_933,X_780)),X_933) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(add(X_933,X_780)),X_933))),bind(Y0,$fot(multiply(X_933,inverse(add(X_933,X_780))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_4058,plain,
( multiply(X_933,inverse(add(X_933,X_780))) != inverse(n1)
| multiply(inverse(add(X_933,X_780)),X_933) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_933,X_780)),X_933),multiply(X_933,inverse(add(X_933,X_780)))) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
multiply(inverse(add(X_933,X_780)),X_933) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_933,inverse(add(X_933,X_780))),inverse(n1)) )],[refute_0_4055,refute_0_4058]) ).
cnf(refute_0_4060,plain,
( multiply(inverse(add(X_933,X_780)),X_933) != inverse(n1)
| multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) != multiply(inverse(add(X_933,X_780)),X_933)
| multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)),multiply(inverse(add(X_933,X_780)),X_933)) ),[1],$fot(inverse(n1))]]) ).
cnf(refute_0_4061,plain,
( multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) != multiply(inverse(add(X_933,X_780)),X_933)
| multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_933,X_780)),X_933),inverse(n1)) )],[refute_0_4059,refute_0_4060]) ).
cnf(refute_0_4062,plain,
multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_933,X_780)),multiply(X_933,X_935)),multiply(inverse(add(X_933,X_780)),X_933)) )],[refute_0_4054,refute_0_4061]) ).
cnf(refute_0_4063,plain,
multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))) = inverse(n1),
inference(subst,[],[refute_0_4062:[bind(X_780,$fot(X_1151)),bind(X_933,$fot(X_1150)),bind(X_935,$fot(add(inverse(X_1151),Z)))]]) ).
cnf(refute_0_4064,plain,
( multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) != multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z)))
| multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))) != inverse(n1)
| multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)),inverse(n1)) ),[0],$fot(multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))))]]) ).
cnf(refute_0_4065,plain,
( multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) != multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z)))
| multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z))),inverse(n1)) )],[refute_0_4063,refute_0_4064]) ).
cnf(refute_0_4066,plain,
multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),multiply(Z,X_1150)),multiply(inverse(add(X_1150,X_1151)),multiply(X_1150,add(inverse(X_1151),Z)))) )],[refute_0_3948,refute_0_4065]) ).
cnf(refute_0_4067,plain,
multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)) = inverse(n1),
inference(subst,[],[refute_0_4066:[bind(Z,$fot(X_1157)),bind(X_1150,$fot(X_1158)),bind(X_1151,$fot(X_1159))]]) ).
cnf(refute_0_4068,plain,
( multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)) != inverse(n1)
| add(multiply(X_1157,X_1158),add(X_1158,X_1159)) != add(add(X_1158,X_1159),multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(add(X_1158,X_1159),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1157,X_1158),add(X_1158,X_1159)),add(add(X_1158,X_1159),multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_4069,plain,
( add(multiply(X_1157,X_1158),add(X_1158,X_1159)) != add(add(X_1158,X_1159),multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(add(X_1158,X_1159),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),inverse(n1)) )],[refute_0_4067,refute_0_4068]) ).
cnf(refute_0_4070,plain,
add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(add(X_1158,X_1159),inverse(n1)),
inference(resolve,[$cnf( $equal(add(multiply(X_1157,X_1158),add(X_1158,X_1159)),add(add(X_1158,X_1159),multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) )],[refute_0_3719,refute_0_4069]) ).
cnf(refute_0_4071,plain,
add(inverse(n1),add(X_1158,X_1159)) = add(X_1158,X_1159),
inference(subst,[],[refute_0_2011:[bind(X,$fot(add(X_1158,X_1159)))]]) ).
cnf(refute_0_4072,plain,
pixley(X_589,inverse(X_591),add(X_589,X_591)) = add(multiply(X_589,X_591),multiply(add(X_589,X_591),add(X_589,X_591))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(X_589)),bind(Z,$fot(add(X_589,X_591))),bind(X_262,$fot(X_591))]]) ).
cnf(refute_0_4073,plain,
multiply(add(X_589,X_591),add(X_589,X_591)) = add(X_589,X_591),
inference(subst,[],[refute_0_1333:[bind(X_179,$fot(add(X_589,X_591)))]]) ).
cnf(refute_0_4074,plain,
( multiply(add(X_589,X_591),add(X_589,X_591)) != add(X_589,X_591)
| pixley(X_589,inverse(X_591),add(X_589,X_591)) != add(multiply(X_589,X_591),multiply(add(X_589,X_591),add(X_589,X_591)))
| pixley(X_589,inverse(X_591),add(X_589,X_591)) = add(multiply(X_589,X_591),add(X_589,X_591)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(X_591),add(X_589,X_591)),add(multiply(X_589,X_591),multiply(add(X_589,X_591),add(X_589,X_591)))) ),[1,1],$fot(add(X_589,X_591))]]) ).
cnf(refute_0_4075,plain,
( pixley(X_589,inverse(X_591),add(X_589,X_591)) != add(multiply(X_589,X_591),multiply(add(X_589,X_591),add(X_589,X_591)))
| pixley(X_589,inverse(X_591),add(X_589,X_591)) = add(multiply(X_589,X_591),add(X_589,X_591)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_589,X_591),add(X_589,X_591)),add(X_589,X_591)) )],[refute_0_4073,refute_0_4074]) ).
cnf(refute_0_4076,plain,
pixley(X_589,inverse(X_591),add(X_589,X_591)) = add(multiply(X_589,X_591),add(X_589,X_591)),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),add(X_589,X_591)),add(multiply(X_589,X_591),multiply(add(X_589,X_591),add(X_589,X_591)))) )],[refute_0_4072,refute_0_4075]) ).
cnf(refute_0_4077,plain,
( pixley(X_589,inverse(X_591),n1) != add(multiply(X_589,X_591),add(X_589,X_591))
| add(multiply(X_589,X_591),add(X_589,X_591)) = pixley(X_589,inverse(X_591),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_589,inverse(X_591),n1))),bind(Y0,$fot(add(multiply(X_589,X_591),add(X_589,X_591))))]]) ).
cnf(refute_0_4078,plain,
add(multiply(X_589,X_591),add(X_589,X_591)) = pixley(X_589,inverse(X_591),n1),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),n1),add(multiply(X_589,X_591),add(X_589,X_591))) )],[refute_0_2229,refute_0_4077]) ).
cnf(refute_0_4079,plain,
( add(multiply(X_589,X_591),add(X_589,X_591)) != pixley(X_589,inverse(X_591),n1)
| pixley(X_589,inverse(X_591),add(X_589,X_591)) != add(multiply(X_589,X_591),add(X_589,X_591))
| pixley(X_589,inverse(X_591),add(X_589,X_591)) = pixley(X_589,inverse(X_591),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(X_591),add(X_589,X_591)),add(multiply(X_589,X_591),add(X_589,X_591))) ),[1],$fot(pixley(X_589,inverse(X_591),n1))]]) ).
cnf(refute_0_4080,plain,
( pixley(X_589,inverse(X_591),add(X_589,X_591)) != add(multiply(X_589,X_591),add(X_589,X_591))
| pixley(X_589,inverse(X_591),add(X_589,X_591)) = pixley(X_589,inverse(X_591),n1) ),
inference(resolve,[$cnf( $equal(add(multiply(X_589,X_591),add(X_589,X_591)),pixley(X_589,inverse(X_591),n1)) )],[refute_0_4078,refute_0_4079]) ).
cnf(refute_0_4081,plain,
pixley(X_589,inverse(X_591),add(X_589,X_591)) = pixley(X_589,inverse(X_591),n1),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_591),add(X_589,X_591)),add(multiply(X_589,X_591),add(X_589,X_591))) )],[refute_0_4076,refute_0_4080]) ).
cnf(refute_0_4082,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1),
inference(subst,[],[refute_0_4081:[bind(X_589,$fot(add(X_1038,X_1037))),bind(X_591,$fot(multiply(X_1037,inverse(X_1038))))]]) ).
cnf(refute_0_4083,plain,
add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) = add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))),
inference(subst,[],[refute_0_3411:[bind(Y,$fot(multiply(X_312,inverse(X_424)))),bind(X_603,$fot(add(X_312,X_424)))]]) ).
cnf(refute_0_4084,plain,
( add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(X_312,X_424)
| add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))
| add(X_312,X_424) = add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))) ),[0],$fot(add(X_312,X_424))]]) ).
cnf(refute_0_4085,plain,
( add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))
| add(X_312,X_424) = add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(X_312,X_424)) )],[refute_0_3899,refute_0_4084]) ).
cnf(refute_0_4086,plain,
add(X_312,X_424) = add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))) )],[refute_0_4083,refute_0_4085]) ).
cnf(refute_0_4087,plain,
add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(multiply(X_312,inverse(X_424)))),bind(X_605,$fot(add(X_312,X_424)))]]) ).
cnf(refute_0_4088,plain,
add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) = add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(multiply(X_312,inverse(X_424)))),bind(X_412,$fot(add(X_312,X_424)))]]) ).
cnf(refute_0_4089,plain,
( add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) != add(multiply(X_312,inverse(X_424)),add(X_312,X_424))
| add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))),bind(Y0,$fot(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)))),bind(Z0,$fot(add(add(X_312,X_424),multiply(X_312,inverse(X_424)))))]]) ).
cnf(refute_0_4090,plain,
( add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) )],[refute_0_4088,refute_0_4089]) ).
cnf(refute_0_4091,plain,
add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(add(X_312,X_424),multiply(X_312,inverse(X_424)))) )],[refute_0_4087,refute_0_4090]) ).
cnf(refute_0_4092,plain,
add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) = add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)))),bind(X_605,$fot(multiply(X_312,inverse(X_424))))]]) ).
cnf(refute_0_4093,plain,
( add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) != add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424)))
| add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))))),bind(Y0,$fot(add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))),bind(Z0,$fot(add(add(X_312,X_424),multiply(X_312,inverse(X_424)))))]]) ).
cnf(refute_0_4094,plain,
( add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))),add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424)))) )],[refute_0_4092,refute_0_4093]) ).
cnf(refute_0_4095,plain,
add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(multiply(X_312,inverse(X_424)),add(X_312,X_424))),add(add(X_312,X_424),multiply(X_312,inverse(X_424)))) )],[refute_0_4091,refute_0_4094]) ).
cnf(refute_0_4096,plain,
( add(X_312,X_424) != add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))
| add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(X_312,X_424) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_312,X_424),add(add(X_312,X_424),multiply(X_312,inverse(X_424)))) ),[0],$fot(add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))))]]) ).
cnf(refute_0_4097,plain,
( add(X_312,X_424) != add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))
| add(X_312,X_424) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424))),add(add(X_312,X_424),multiply(X_312,inverse(X_424)))) )],[refute_0_4095,refute_0_4096]) ).
cnf(refute_0_4098,plain,
add(X_312,X_424) = add(add(X_312,X_424),multiply(X_312,inverse(X_424))),
inference(resolve,[$cnf( $equal(add(X_312,X_424),add(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),multiply(X_312,inverse(X_424)))) )],[refute_0_4086,refute_0_4097]) ).
cnf(refute_0_4099,plain,
add(X_312,X_424) = add(X_424,X_312),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_424)),bind(X_605,$fot(X_312))]]) ).
cnf(refute_0_4100,plain,
( add(X_312,X_424) != add(X_424,X_312)
| add(X_312,X_424) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(X_312,X_424) = add(add(X_424,X_312),multiply(X_312,inverse(X_424))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_312,X_424),add(add(X_312,X_424),multiply(X_312,inverse(X_424)))) ),[1,0],$fot(add(X_424,X_312))]]) ).
cnf(refute_0_4101,plain,
( add(X_312,X_424) != add(add(X_312,X_424),multiply(X_312,inverse(X_424)))
| add(X_312,X_424) = add(add(X_424,X_312),multiply(X_312,inverse(X_424))) ),
inference(resolve,[$cnf( $equal(add(X_312,X_424),add(X_424,X_312)) )],[refute_0_4099,refute_0_4100]) ).
cnf(refute_0_4102,plain,
add(X_312,X_424) = add(add(X_424,X_312),multiply(X_312,inverse(X_424))),
inference(resolve,[$cnf( $equal(add(X_312,X_424),add(add(X_312,X_424),multiply(X_312,inverse(X_424)))) )],[refute_0_4098,refute_0_4101]) ).
cnf(refute_0_4103,plain,
add(X_1037,X_1038) = add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),
inference(subst,[],[refute_0_4102:[bind(X_312,$fot(X_1037)),bind(X_424,$fot(X_1038))]]) ).
cnf(refute_0_4104,plain,
( add(X_1037,X_1038) != add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))
| add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = add(X_1037,X_1038) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_1037,X_1038))),bind(Y0,$fot(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))))]]) ).
cnf(refute_0_4105,plain,
add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = add(X_1037,X_1038),
inference(resolve,[$cnf( $equal(add(X_1037,X_1038),add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))) )],[refute_0_4103,refute_0_4104]) ).
cnf(refute_0_4106,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(X_1037,X_1038)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))) != pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))),pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)) ),[0,2],$fot(add(X_1037,X_1038))]]) ).
cnf(refute_0_4107,plain,
( pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))) != pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) ),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) )],[refute_0_4105,refute_0_4106]) ).
cnf(refute_0_4108,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))),pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)) )],[refute_0_4082,refute_0_4107]) ).
cnf(refute_0_4109,plain,
add(multiply(X_605,Y),X_605) = add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)),
inference(subst,[],[refute_0_3411:[bind(Y,$fot(multiply(X_605,Y))),bind(X_603,$fot(X_605))]]) ).
cnf(refute_0_4110,plain,
X_605 = add(multiply(X_605,Y),X_605),
inference(subst,[],[refute_0_3247:[bind(X_305,$fot(X_605))]]) ).
cnf(refute_0_4111,plain,
( X_605 != add(multiply(X_605,Y),X_605)
| add(multiply(X_605,Y),X_605) = X_605 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_605)),bind(Y0,$fot(add(multiply(X_605,Y),X_605)))]]) ).
cnf(refute_0_4112,plain,
add(multiply(X_605,Y),X_605) = X_605,
inference(resolve,[$cnf( $equal(X_605,add(multiply(X_605,Y),X_605)) )],[refute_0_4110,refute_0_4111]) ).
cnf(refute_0_4113,plain,
( add(multiply(X_605,Y),X_605) != X_605
| add(multiply(X_605,Y),X_605) != add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))
| X_605 = add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_605,Y),X_605),add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))) ),[0],$fot(X_605)]]) ).
cnf(refute_0_4114,plain,
( add(multiply(X_605,Y),X_605) != add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))
| X_605 = add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_605,Y),X_605),X_605) )],[refute_0_4112,refute_0_4113]) ).
cnf(refute_0_4115,plain,
X_605 = add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)),
inference(resolve,[$cnf( $equal(add(multiply(X_605,Y),X_605),add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))) )],[refute_0_4109,refute_0_4114]) ).
cnf(refute_0_4116,plain,
add(multiply(X_605,Y),X_605) = add(X_605,multiply(X_605,Y)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(multiply(X_605,Y)))]]) ).
cnf(refute_0_4117,plain,
add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) = add(multiply(X_605,Y),X_605),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(multiply(X_605,Y))),bind(X_412,$fot(X_605))]]) ).
cnf(refute_0_4118,plain,
( add(multiply(X_605,Y),X_605) != add(X_605,multiply(X_605,Y))
| add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) != add(multiply(X_605,Y),X_605)
| add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) = add(X_605,multiply(X_605,Y)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)))),bind(Y0,$fot(add(multiply(X_605,Y),X_605))),bind(Z0,$fot(add(X_605,multiply(X_605,Y))))]]) ).
cnf(refute_0_4119,plain,
( add(multiply(X_605,Y),X_605) != add(X_605,multiply(X_605,Y))
| add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) = add(X_605,multiply(X_605,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)),add(multiply(X_605,Y),X_605)) )],[refute_0_4117,refute_0_4118]) ).
cnf(refute_0_4120,plain,
add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) = add(X_605,multiply(X_605,Y)),
inference(resolve,[$cnf( $equal(add(multiply(X_605,Y),X_605),add(X_605,multiply(X_605,Y))) )],[refute_0_4116,refute_0_4119]) ).
cnf(refute_0_4121,plain,
add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) = add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(add(multiply(X_605,Y),X_605))),bind(X_605,$fot(multiply(X_605,Y)))]]) ).
cnf(refute_0_4122,plain,
( add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) != add(X_605,multiply(X_605,Y))
| add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) != add(multiply(X_605,Y),add(multiply(X_605,Y),X_605))
| add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) = add(X_605,multiply(X_605,Y)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)))),bind(Y0,$fot(add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)))),bind(Z0,$fot(add(X_605,multiply(X_605,Y))))]]) ).
cnf(refute_0_4123,plain,
( add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)) != add(X_605,multiply(X_605,Y))
| add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) = add(X_605,multiply(X_605,Y)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)),add(multiply(X_605,Y),add(multiply(X_605,Y),X_605))) )],[refute_0_4121,refute_0_4122]) ).
cnf(refute_0_4124,plain,
add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) = add(X_605,multiply(X_605,Y)),
inference(resolve,[$cnf( $equal(add(multiply(X_605,Y),add(multiply(X_605,Y),X_605)),add(X_605,multiply(X_605,Y))) )],[refute_0_4120,refute_0_4123]) ).
cnf(refute_0_4125,plain,
( X_605 != add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))
| add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)) != add(X_605,multiply(X_605,Y))
| X_605 = add(X_605,multiply(X_605,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_605,add(X_605,multiply(X_605,Y))) ),[0],$fot(add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)))]]) ).
cnf(refute_0_4126,plain,
( X_605 != add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))
| X_605 = add(X_605,multiply(X_605,Y)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_605,Y),X_605),multiply(X_605,Y)),add(X_605,multiply(X_605,Y))) )],[refute_0_4124,refute_0_4125]) ).
cnf(refute_0_4127,plain,
X_605 = add(X_605,multiply(X_605,Y)),
inference(resolve,[$cnf( $equal(X_605,add(add(multiply(X_605,Y),X_605),multiply(X_605,Y))) )],[refute_0_4115,refute_0_4126]) ).
cnf(refute_0_4128,plain,
add(X_808,X_809) = add(add(X_808,X_809),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))),
inference(subst,[],[refute_0_4127:[bind(Y,$fot(add(X_808,inverse(X_810)))),bind(X_605,$fot(add(X_808,X_809)))]]) ).
cnf(refute_0_4129,plain,
multiply(add(Y,X_407),add(Y,inverse(X_786))) = add(Y,multiply(inverse(X_786),add(Y,X_407))),
inference(subst,[],[refute_0_3277:[bind(Z,$fot(inverse(X_786)))]]) ).
cnf(refute_0_4130,plain,
multiply(inverse(X_786),add(Y,X_407)) = multiply(inverse(X_786),add(X_407,Y)),
inference(subst,[],[refute_0_3559:[bind(X_774,$fot(X_786)),bind(X_775,$fot(X_407)),bind(X_776,$fot(Y))]]) ).
cnf(refute_0_4131,plain,
( multiply(add(Y,X_407),add(Y,inverse(X_786))) != add(Y,multiply(inverse(X_786),add(Y,X_407)))
| multiply(inverse(X_786),add(Y,X_407)) != multiply(inverse(X_786),add(X_407,Y))
| multiply(add(Y,X_407),add(Y,inverse(X_786))) = add(Y,multiply(inverse(X_786),add(X_407,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Y,X_407),add(Y,inverse(X_786))),add(Y,multiply(inverse(X_786),add(Y,X_407)))) ),[1,1],$fot(multiply(inverse(X_786),add(X_407,Y)))]]) ).
cnf(refute_0_4132,plain,
( multiply(add(Y,X_407),add(Y,inverse(X_786))) != add(Y,multiply(inverse(X_786),add(Y,X_407)))
| multiply(add(Y,X_407),add(Y,inverse(X_786))) = add(Y,multiply(inverse(X_786),add(X_407,Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_786),add(Y,X_407)),multiply(inverse(X_786),add(X_407,Y))) )],[refute_0_4130,refute_0_4131]) ).
cnf(refute_0_4133,plain,
multiply(add(Y,X_407),add(Y,inverse(X_786))) = add(Y,multiply(inverse(X_786),add(X_407,Y))),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_407),add(Y,inverse(X_786))),add(Y,multiply(inverse(X_786),add(Y,X_407)))) )],[refute_0_4129,refute_0_4132]) ).
cnf(refute_0_4134,plain,
add(inverse(X_301),X_302) = add(X_302,inverse(X_301)),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_302)),bind(X_605,$fot(inverse(X_301)))]]) ).
cnf(refute_0_4135,plain,
( add(inverse(X_301),X_302) != add(X_302,inverse(X_301))
| pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_303,X_302),add(X_302,inverse(X_301))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(inverse(X_301),X_302))) ),[1,1],$fot(add(X_302,inverse(X_301)))]]) ).
cnf(refute_0_4136,plain,
( pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_303,X_302),add(X_302,inverse(X_301))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_301),X_302),add(X_302,inverse(X_301))) )],[refute_0_4134,refute_0_4135]) ).
cnf(refute_0_4137,plain,
pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_303,X_302),add(X_302,inverse(X_301))),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(inverse(X_301),X_302))) )],[refute_0_3488,refute_0_4136]) ).
cnf(refute_0_4138,plain,
( pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(X_302,inverse(X_301)))
| multiply(add(X_303,X_302),add(X_302,inverse(X_301))) = pixley(add(X_303,X_302),X_301,X_302) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_303,X_302),X_301,X_302))),bind(Y0,$fot(multiply(add(X_303,X_302),add(X_302,inverse(X_301)))))]]) ).
cnf(refute_0_4139,plain,
multiply(add(X_303,X_302),add(X_302,inverse(X_301))) = pixley(add(X_303,X_302),X_301,X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(X_302,inverse(X_301)))) )],[refute_0_4137,refute_0_4138]) ).
cnf(refute_0_4140,plain,
multiply(add(X_407,Y),add(Y,inverse(X_786))) = pixley(add(X_407,Y),X_786,Y),
inference(subst,[],[refute_0_4139:[bind(X_301,$fot(X_786)),bind(X_302,$fot(Y)),bind(X_303,$fot(X_407))]]) ).
cnf(refute_0_4141,plain,
add(Y,multiply(inverse(X_786),add(X_407,Y))) = multiply(add(X_407,Y),add(Y,inverse(X_786))),
inference(subst,[],[refute_0_2757:[bind(Z,$fot(inverse(X_786))),bind(X_250,$fot(X_407))]]) ).
cnf(refute_0_4142,plain,
( multiply(add(X_407,Y),add(Y,inverse(X_786))) != pixley(add(X_407,Y),X_786,Y)
| add(Y,multiply(inverse(X_786),add(X_407,Y))) != multiply(add(X_407,Y),add(Y,inverse(X_786)))
| add(Y,multiply(inverse(X_786),add(X_407,Y))) = pixley(add(X_407,Y),X_786,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(Y,multiply(inverse(X_786),add(X_407,Y))))),bind(Y0,$fot(multiply(add(X_407,Y),add(Y,inverse(X_786))))),bind(Z0,$fot(pixley(add(X_407,Y),X_786,Y)))]]) ).
cnf(refute_0_4143,plain,
( multiply(add(X_407,Y),add(Y,inverse(X_786))) != pixley(add(X_407,Y),X_786,Y)
| add(Y,multiply(inverse(X_786),add(X_407,Y))) = pixley(add(X_407,Y),X_786,Y) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(inverse(X_786),add(X_407,Y))),multiply(add(X_407,Y),add(Y,inverse(X_786)))) )],[refute_0_4141,refute_0_4142]) ).
cnf(refute_0_4144,plain,
add(Y,multiply(inverse(X_786),add(X_407,Y))) = pixley(add(X_407,Y),X_786,Y),
inference(resolve,[$cnf( $equal(multiply(add(X_407,Y),add(Y,inverse(X_786))),pixley(add(X_407,Y),X_786,Y)) )],[refute_0_4140,refute_0_4143]) ).
cnf(refute_0_4145,plain,
( multiply(add(Y,X_407),add(Y,inverse(X_786))) != add(Y,multiply(inverse(X_786),add(X_407,Y)))
| add(Y,multiply(inverse(X_786),add(X_407,Y))) != pixley(add(X_407,Y),X_786,Y)
| multiply(add(Y,X_407),add(Y,inverse(X_786))) = pixley(add(X_407,Y),X_786,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(Y,X_407),add(Y,inverse(X_786))),pixley(add(X_407,Y),X_786,Y)) ),[0],$fot(add(Y,multiply(inverse(X_786),add(X_407,Y))))]]) ).
cnf(refute_0_4146,plain,
( multiply(add(Y,X_407),add(Y,inverse(X_786))) != add(Y,multiply(inverse(X_786),add(X_407,Y)))
| multiply(add(Y,X_407),add(Y,inverse(X_786))) = pixley(add(X_407,Y),X_786,Y) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(inverse(X_786),add(X_407,Y))),pixley(add(X_407,Y),X_786,Y)) )],[refute_0_4144,refute_0_4145]) ).
cnf(refute_0_4147,plain,
multiply(add(Y,X_407),add(Y,inverse(X_786))) = pixley(add(X_407,Y),X_786,Y),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_407),add(Y,inverse(X_786))),add(Y,multiply(inverse(X_786),add(X_407,Y)))) )],[refute_0_4133,refute_0_4146]) ).
cnf(refute_0_4148,plain,
multiply(add(X_808,X_809),add(X_808,inverse(X_810))) = pixley(add(X_809,X_808),X_810,X_808),
inference(subst,[],[refute_0_4147:[bind(Y,$fot(X_808)),bind(X_407,$fot(X_809)),bind(X_786,$fot(X_810))]]) ).
cnf(refute_0_4149,plain,
( multiply(add(X_808,X_809),add(X_808,inverse(X_810))) != pixley(add(X_809,X_808),X_810,X_808)
| add(X_808,X_809) != add(add(X_808,X_809),multiply(add(X_808,X_809),add(X_808,inverse(X_810))))
| add(X_808,X_809) = add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_808,X_809),add(add(X_808,X_809),multiply(add(X_808,X_809),add(X_808,inverse(X_810))))) ),[1,1],$fot(pixley(add(X_809,X_808),X_810,X_808))]]) ).
cnf(refute_0_4150,plain,
( add(X_808,X_809) != add(add(X_808,X_809),multiply(add(X_808,X_809),add(X_808,inverse(X_810))))
| add(X_808,X_809) = add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),pixley(add(X_809,X_808),X_810,X_808)) )],[refute_0_4148,refute_0_4149]) ).
cnf(refute_0_4151,plain,
add(X_808,X_809) = add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)),
inference(resolve,[$cnf( $equal(add(X_808,X_809),add(add(X_808,X_809),multiply(add(X_808,X_809),add(X_808,inverse(X_810))))) )],[refute_0_4128,refute_0_4150]) ).
cnf(refute_0_4152,plain,
add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = add(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))),
inference(subst,[],[refute_0_4151:[bind(X_808,$fot(add(X_1038,X_1037))),bind(X_809,$fot(multiply(X_1037,inverse(X_1038))))]]) ).
cnf(refute_0_4153,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(X_1037,X_1038)
| add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))) ),[1,0],$fot(add(X_1037,X_1038))]]) ).
cnf(refute_0_4154,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) ),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) )],[refute_0_4105,refute_0_4153]) ).
cnf(refute_0_4155,plain,
add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))) )],[refute_0_4152,refute_0_4154]) ).
cnf(refute_0_4156,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(X_1037,X_1038)
| add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(X_1037,X_1038) = add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))) ),[0],$fot(add(X_1037,X_1038))]]) ).
cnf(refute_0_4157,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(X_1037,X_1038) = add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) ),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) )],[refute_0_4105,refute_0_4156]) ).
cnf(refute_0_4158,plain,
pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) = pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)),
introduced(tautology,[refl,[$fot(pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)))]]) ).
cnf(refute_0_4159,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(X_1037,X_1038)
| pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) != pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))
| pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)),pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))) ),[1,0],$fot(add(X_1037,X_1038))]]) ).
cnf(refute_0_4160,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(X_1037,X_1038)
| pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
inference(resolve,[$cnf( $equal(pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)),pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))) )],[refute_0_4158,refute_0_4159]) ).
cnf(refute_0_4161,plain,
pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) )],[refute_0_4105,refute_0_4160]) ).
cnf(refute_0_4162,plain,
multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = add(Y,multiply(add(Y,X_809),add(Y,inverse(X_810)))),
inference(subst,[],[refute_0_3277:[bind(Z,$fot(add(Y,X_809))),bind(X_407,$fot(inverse(X_810)))]]) ).
cnf(refute_0_4163,plain,
multiply(add(Y,X_809),add(Y,inverse(X_810))) = pixley(add(X_809,Y),X_810,Y),
inference(subst,[],[refute_0_4147:[bind(X_407,$fot(X_809)),bind(X_786,$fot(X_810))]]) ).
cnf(refute_0_4164,plain,
( multiply(add(Y,X_809),add(Y,inverse(X_810))) != pixley(add(X_809,Y),X_810,Y)
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != add(Y,multiply(add(Y,X_809),add(Y,inverse(X_810))))
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = add(Y,pixley(add(X_809,Y),X_810,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),add(Y,multiply(add(Y,X_809),add(Y,inverse(X_810))))) ),[1,1],$fot(pixley(add(X_809,Y),X_810,Y))]]) ).
cnf(refute_0_4165,plain,
( multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != add(Y,multiply(add(Y,X_809),add(Y,inverse(X_810))))
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = add(Y,pixley(add(X_809,Y),X_810,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_809),add(Y,inverse(X_810))),pixley(add(X_809,Y),X_810,Y)) )],[refute_0_4163,refute_0_4164]) ).
cnf(refute_0_4166,plain,
multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = add(Y,pixley(add(X_809,Y),X_810,Y)),
inference(resolve,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),add(Y,multiply(add(Y,X_809),add(Y,inverse(X_810))))) )],[refute_0_4162,refute_0_4165]) ).
cnf(refute_0_4167,plain,
add(Y,add(Y,X_809)) = add(Y,X_809),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(Y)),bind(X_412,$fot(X_809))]]) ).
cnf(refute_0_4168,plain,
pixley(add(Y,add(Y,X_809)),X_810,Y) = pixley(add(Y,add(Y,X_809)),X_810,Y),
introduced(tautology,[refl,[$fot(pixley(add(Y,add(Y,X_809)),X_810,Y))]]) ).
cnf(refute_0_4169,plain,
( add(Y,add(Y,X_809)) != add(Y,X_809)
| pixley(add(Y,add(Y,X_809)),X_810,Y) != pixley(add(Y,add(Y,X_809)),X_810,Y)
| pixley(add(Y,add(Y,X_809)),X_810,Y) = pixley(add(Y,X_809),X_810,Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(Y,add(Y,X_809)),X_810,Y),pixley(add(Y,add(Y,X_809)),X_810,Y)) ),[1,0],$fot(add(Y,X_809))]]) ).
cnf(refute_0_4170,plain,
( add(Y,add(Y,X_809)) != add(Y,X_809)
| pixley(add(Y,add(Y,X_809)),X_810,Y) = pixley(add(Y,X_809),X_810,Y) ),
inference(resolve,[$cnf( $equal(pixley(add(Y,add(Y,X_809)),X_810,Y),pixley(add(Y,add(Y,X_809)),X_810,Y)) )],[refute_0_4168,refute_0_4169]) ).
cnf(refute_0_4171,plain,
pixley(add(Y,add(Y,X_809)),X_810,Y) = pixley(add(Y,X_809),X_810,Y),
inference(resolve,[$cnf( $equal(add(Y,add(Y,X_809)),add(Y,X_809)) )],[refute_0_4167,refute_0_4170]) ).
cnf(refute_0_4172,plain,
add(X_303,X_302) = add(X_302,X_303),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_302)),bind(X_605,$fot(X_303))]]) ).
cnf(refute_0_4173,plain,
( add(X_303,X_302) != add(X_302,X_303)
| pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_302,X_303),add(inverse(X_301),X_302)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(inverse(X_301),X_302))) ),[1,0],$fot(add(X_302,X_303))]]) ).
cnf(refute_0_4174,plain,
( pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_302,X_303),add(inverse(X_301),X_302)) ),
inference(resolve,[$cnf( $equal(add(X_303,X_302),add(X_302,X_303)) )],[refute_0_4172,refute_0_4173]) ).
cnf(refute_0_4175,plain,
pixley(add(X_303,X_302),X_301,X_302) = multiply(add(X_302,X_303),add(inverse(X_301),X_302)),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(inverse(X_301),X_302))) )],[refute_0_3488,refute_0_4174]) ).
cnf(refute_0_4176,plain,
multiply(add(X_302,X_303),add(inverse(X_301),X_302)) = pixley(add(X_302,X_303),X_301,X_302),
inference(subst,[],[refute_0_3504:[bind(X_605,$fot(X_303))]]) ).
cnf(refute_0_4177,plain,
( multiply(add(X_302,X_303),add(inverse(X_301),X_302)) != pixley(add(X_302,X_303),X_301,X_302)
| pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_302,X_303),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) = pixley(add(X_302,X_303),X_301,X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_302,X_303),add(inverse(X_301),X_302))) ),[1],$fot(pixley(add(X_302,X_303),X_301,X_302))]]) ).
cnf(refute_0_4178,plain,
( pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_302,X_303),add(inverse(X_301),X_302))
| pixley(add(X_303,X_302),X_301,X_302) = pixley(add(X_302,X_303),X_301,X_302) ),
inference(resolve,[$cnf( $equal(multiply(add(X_302,X_303),add(inverse(X_301),X_302)),pixley(add(X_302,X_303),X_301,X_302)) )],[refute_0_4176,refute_0_4177]) ).
cnf(refute_0_4179,plain,
pixley(add(X_303,X_302),X_301,X_302) = pixley(add(X_302,X_303),X_301,X_302),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_302,X_303),add(inverse(X_301),X_302))) )],[refute_0_4175,refute_0_4178]) ).
cnf(refute_0_4180,plain,
pixley(add(add(Y,X_809),Y),X_810,Y) = pixley(add(Y,add(Y,X_809)),X_810,Y),
inference(subst,[],[refute_0_4179:[bind(X_301,$fot(X_810)),bind(X_302,$fot(Y)),bind(X_303,$fot(add(Y,X_809)))]]) ).
cnf(refute_0_4181,plain,
pixley(multiply(X_336,multiply(X_336,X_281)),inverse(multiply(X_336,X_281)),n1) = multiply(X_336,X_281),
inference(subst,[],[refute_0_3200:[bind(Y,$fot(multiply(X_336,X_281))),bind(X_334,$fot(X_336))]]) ).
cnf(refute_0_4182,plain,
multiply(X_336,multiply(X_336,X_281)) = multiply(X_281,X_336),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_336))]]) ).
cnf(refute_0_4183,plain,
( multiply(X_336,multiply(X_336,X_281)) != multiply(X_281,X_336)
| pixley(multiply(X_336,multiply(X_336,X_281)),inverse(multiply(X_336,X_281)),n1) != multiply(X_336,X_281)
| pixley(multiply(X_281,X_336),inverse(multiply(X_336,X_281)),n1) = multiply(X_336,X_281) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_336,multiply(X_336,X_281)),inverse(multiply(X_336,X_281)),n1),multiply(X_336,X_281)) ),[0,0],$fot(multiply(X_281,X_336))]]) ).
cnf(refute_0_4184,plain,
( pixley(multiply(X_336,multiply(X_336,X_281)),inverse(multiply(X_336,X_281)),n1) != multiply(X_336,X_281)
| pixley(multiply(X_281,X_336),inverse(multiply(X_336,X_281)),n1) = multiply(X_336,X_281) ),
inference(resolve,[$cnf( $equal(multiply(X_336,multiply(X_336,X_281)),multiply(X_281,X_336)) )],[refute_0_4182,refute_0_4183]) ).
cnf(refute_0_4185,plain,
pixley(multiply(X_281,X_336),inverse(multiply(X_336,X_281)),n1) = multiply(X_336,X_281),
inference(resolve,[$cnf( $equal(pixley(multiply(X_336,multiply(X_336,X_281)),inverse(multiply(X_336,X_281)),n1),multiply(X_336,X_281)) )],[refute_0_4181,refute_0_4184]) ).
cnf(refute_0_4186,plain,
pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(multiply(add(X_808,X_809),add(X_808,inverse(X_810)))),n1) = multiply(add(X_808,X_809),add(X_808,inverse(X_810))),
inference(subst,[],[refute_0_4185:[bind(X_281,$fot(add(X_808,inverse(X_810)))),bind(X_336,$fot(add(X_808,X_809)))]]) ).
cnf(refute_0_4187,plain,
( multiply(add(X_808,X_809),add(X_808,inverse(X_810))) != pixley(add(X_809,X_808),X_810,X_808)
| pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(multiply(add(X_808,X_809),add(X_808,inverse(X_810)))),n1) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = multiply(add(X_808,X_809),add(X_808,inverse(X_810))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(multiply(add(X_808,X_809),add(X_808,inverse(X_810)))),n1),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))) ),[0,1,0],$fot(pixley(add(X_809,X_808),X_810,X_808))]]) ).
cnf(refute_0_4188,plain,
( pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(multiply(add(X_808,X_809),add(X_808,inverse(X_810)))),n1) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = multiply(add(X_808,X_809),add(X_808,inverse(X_810))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),pixley(add(X_809,X_808),X_810,X_808)) )],[refute_0_4148,refute_0_4187]) ).
cnf(refute_0_4189,plain,
pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = multiply(add(X_808,X_809),add(X_808,inverse(X_810))),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(multiply(add(X_808,X_809),add(X_808,inverse(X_810)))),n1),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))) )],[refute_0_4186,refute_0_4188]) ).
cnf(refute_0_4190,plain,
pixley(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),
inference(subst,[],[refute_0_4185:[bind(X_281,$fot(add(X_808,X_809))),bind(X_336,$fot(add(X_808,inverse(X_810))))]]) ).
cnf(refute_0_4191,plain,
( multiply(add(X_808,X_809),add(X_808,inverse(X_810))) != pixley(add(X_809,X_808),X_810,X_808)
| pixley(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) != multiply(add(X_808,inverse(X_810)),add(X_808,X_809))
| pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1),multiply(add(X_808,inverse(X_810)),add(X_808,X_809))) ),[0,0],$fot(pixley(add(X_809,X_808),X_810,X_808))]]) ).
cnf(refute_0_4192,plain,
( pixley(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) != multiply(add(X_808,inverse(X_810)),add(X_808,X_809))
| pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),pixley(add(X_809,X_808),X_810,X_808)) )],[refute_0_4148,refute_0_4191]) ).
cnf(refute_0_4193,plain,
pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1),multiply(add(X_808,inverse(X_810)),add(X_808,X_809))) )],[refute_0_4190,refute_0_4192]) ).
cnf(refute_0_4194,plain,
pixley(X_792,inverse(X_793),inverse(inverse(Y))) = pixley(X_793,inverse(X_792),inverse(inverse(Y))),
inference(subst,[],[refute_0_3567:[bind(X,$fot(X_792)),bind(X_262,$fot(X_793)),bind(X_786,$fot(inverse(Y)))]]) ).
cnf(refute_0_4195,plain,
( inverse(inverse(Y)) != Y
| pixley(X_792,inverse(X_793),inverse(inverse(Y))) != pixley(X_793,inverse(X_792),inverse(inverse(Y)))
| pixley(X_792,inverse(X_793),Y) = pixley(X_793,inverse(X_792),inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_792,inverse(X_793),inverse(inverse(Y))),pixley(X_793,inverse(X_792),inverse(inverse(Y)))) ),[0,2],$fot(Y)]]) ).
cnf(refute_0_4196,plain,
( pixley(X_792,inverse(X_793),inverse(inverse(Y))) != pixley(X_793,inverse(X_792),inverse(inverse(Y)))
| pixley(X_792,inverse(X_793),Y) = pixley(X_793,inverse(X_792),inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4195]) ).
cnf(refute_0_4197,plain,
pixley(X_792,inverse(X_793),Y) = pixley(X_793,inverse(X_792),inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(pixley(X_792,inverse(X_793),inverse(inverse(Y))),pixley(X_793,inverse(X_792),inverse(inverse(Y)))) )],[refute_0_4194,refute_0_4196]) ).
cnf(refute_0_4198,plain,
pixley(X_793,inverse(X_792),inverse(inverse(Y))) = pixley(X_793,inverse(X_792),inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(pixley(X_793,inverse(X_792),inverse(inverse(Y))))]]) ).
cnf(refute_0_4199,plain,
( inverse(inverse(Y)) != Y
| pixley(X_793,inverse(X_792),inverse(inverse(Y))) != pixley(X_793,inverse(X_792),inverse(inverse(Y)))
| pixley(X_793,inverse(X_792),inverse(inverse(Y))) = pixley(X_793,inverse(X_792),Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_793,inverse(X_792),inverse(inverse(Y))),pixley(X_793,inverse(X_792),inverse(inverse(Y)))) ),[1,2],$fot(Y)]]) ).
cnf(refute_0_4200,plain,
( inverse(inverse(Y)) != Y
| pixley(X_793,inverse(X_792),inverse(inverse(Y))) = pixley(X_793,inverse(X_792),Y) ),
inference(resolve,[$cnf( $equal(pixley(X_793,inverse(X_792),inverse(inverse(Y))),pixley(X_793,inverse(X_792),inverse(inverse(Y)))) )],[refute_0_4198,refute_0_4199]) ).
cnf(refute_0_4201,plain,
pixley(X_793,inverse(X_792),inverse(inverse(Y))) = pixley(X_793,inverse(X_792),Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4200]) ).
cnf(refute_0_4202,plain,
( pixley(X_792,inverse(X_793),Y) != pixley(X_793,inverse(X_792),inverse(inverse(Y)))
| pixley(X_793,inverse(X_792),inverse(inverse(Y))) != pixley(X_793,inverse(X_792),Y)
| pixley(X_792,inverse(X_793),Y) = pixley(X_793,inverse(X_792),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(pixley(X_792,inverse(X_793),Y),pixley(X_793,inverse(X_792),Y)) ),[0],$fot(pixley(X_793,inverse(X_792),inverse(inverse(Y))))]]) ).
cnf(refute_0_4203,plain,
( pixley(X_792,inverse(X_793),Y) != pixley(X_793,inverse(X_792),inverse(inverse(Y)))
| pixley(X_792,inverse(X_793),Y) = pixley(X_793,inverse(X_792),Y) ),
inference(resolve,[$cnf( $equal(pixley(X_793,inverse(X_792),inverse(inverse(Y))),pixley(X_793,inverse(X_792),Y)) )],[refute_0_4201,refute_0_4202]) ).
cnf(refute_0_4204,plain,
pixley(X_792,inverse(X_793),Y) = pixley(X_793,inverse(X_792),Y),
inference(resolve,[$cnf( $equal(pixley(X_792,inverse(X_793),Y),pixley(X_793,inverse(X_792),inverse(inverse(Y)))) )],[refute_0_4197,refute_0_4203]) ).
cnf(refute_0_4205,plain,
( pixley(X_792,inverse(X_793),Y) != pixley(X_793,inverse(X_792),Y)
| pixley(X_793,inverse(X_792),Y) = pixley(X_792,inverse(X_793),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_792,inverse(X_793),Y))),bind(Y0,$fot(pixley(X_793,inverse(X_792),Y)))]]) ).
cnf(refute_0_4206,plain,
pixley(X_793,inverse(X_792),Y) = pixley(X_792,inverse(X_793),Y),
inference(resolve,[$cnf( $equal(pixley(X_792,inverse(X_793),Y),pixley(X_793,inverse(X_792),Y)) )],[refute_0_4204,refute_0_4205]) ).
cnf(refute_0_4207,plain,
pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1),
inference(subst,[],[refute_0_4206:[bind(Y,$fot(n1)),bind(X_792,$fot(pixley(add(X_809,X_808),X_810,X_808))),bind(X_793,$fot(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))))]]) ).
cnf(refute_0_4208,plain,
( pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) != pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1)
| pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) != multiply(add(X_808,inverse(X_810)),add(X_808,X_809))
| pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1))),bind(Y0,$fot(pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1))),bind(Z0,$fot(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))))]]) ).
cnf(refute_0_4209,plain,
( pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1) != multiply(add(X_808,inverse(X_810)),add(X_808,X_809))
| pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1),pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1)) )],[refute_0_4207,refute_0_4208]) ).
cnf(refute_0_4210,plain,
pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) = multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),
inference(resolve,[$cnf( $equal(pixley(pixley(add(X_809,X_808),X_810,X_808),inverse(multiply(add(X_808,inverse(X_810)),add(X_808,X_809))),n1),multiply(add(X_808,inverse(X_810)),add(X_808,X_809))) )],[refute_0_4193,refute_0_4209]) ).
cnf(refute_0_4211,plain,
( pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) != multiply(add(X_808,inverse(X_810)),add(X_808,X_809))
| multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) = multiply(add(X_808,X_809),add(X_808,inverse(X_810))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))) ),[0],$fot(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)))]]) ).
cnf(refute_0_4212,plain,
( pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) = multiply(add(X_808,X_809),add(X_808,inverse(X_810))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1),multiply(add(X_808,inverse(X_810)),add(X_808,X_809))) )],[refute_0_4210,refute_0_4211]) ).
cnf(refute_0_4213,plain,
( multiply(add(X_808,X_809),add(X_808,inverse(X_810))) != pixley(add(X_809,X_808),X_810,X_808)
| multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) = pixley(add(X_809,X_808),X_810,X_808) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))) ),[1],$fot(pixley(add(X_809,X_808),X_810,X_808))]]) ).
cnf(refute_0_4214,plain,
( multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) = pixley(add(X_809,X_808),X_810,X_808) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),add(X_808,inverse(X_810))),pixley(add(X_809,X_808),X_810,X_808)) )],[refute_0_4148,refute_0_4213]) ).
cnf(refute_0_4215,plain,
( pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1) != multiply(add(X_808,X_809),add(X_808,inverse(X_810)))
| multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) = pixley(add(X_809,X_808),X_810,X_808) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))) )],[refute_0_4212,refute_0_4214]) ).
cnf(refute_0_4216,plain,
multiply(add(X_808,inverse(X_810)),add(X_808,X_809)) = pixley(add(X_809,X_808),X_810,X_808),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_808,inverse(X_810)),add(X_808,X_809)),inverse(pixley(add(X_809,X_808),X_810,X_808)),n1),multiply(add(X_808,X_809),add(X_808,inverse(X_810)))) )],[refute_0_4189,refute_0_4215]) ).
cnf(refute_0_4217,plain,
multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(add(Y,X_809),Y),X_810,Y),
inference(subst,[],[refute_0_4216:[bind(X_808,$fot(Y)),bind(X_809,$fot(add(Y,X_809)))]]) ).
cnf(refute_0_4218,plain,
( multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != pixley(add(add(Y,X_809),Y),X_810,Y)
| pixley(add(add(Y,X_809),Y),X_810,Y) != pixley(add(Y,add(Y,X_809)),X_810,Y)
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(Y,add(Y,X_809)),X_810,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))))),bind(Y0,$fot(pixley(add(add(Y,X_809),Y),X_810,Y))),bind(Z0,$fot(pixley(add(Y,add(Y,X_809)),X_810,Y)))]]) ).
cnf(refute_0_4219,plain,
( pixley(add(add(Y,X_809),Y),X_810,Y) != pixley(add(Y,add(Y,X_809)),X_810,Y)
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(Y,add(Y,X_809)),X_810,Y) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),pixley(add(add(Y,X_809),Y),X_810,Y)) )],[refute_0_4217,refute_0_4218]) ).
cnf(refute_0_4220,plain,
multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(Y,add(Y,X_809)),X_810,Y),
inference(resolve,[$cnf( $equal(pixley(add(add(Y,X_809),Y),X_810,Y),pixley(add(Y,add(Y,X_809)),X_810,Y)) )],[refute_0_4180,refute_0_4219]) ).
cnf(refute_0_4221,plain,
( multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != pixley(add(Y,add(Y,X_809)),X_810,Y)
| pixley(add(Y,add(Y,X_809)),X_810,Y) != pixley(add(Y,X_809),X_810,Y)
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(Y,X_809),X_810,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))))),bind(Y0,$fot(pixley(add(Y,add(Y,X_809)),X_810,Y))),bind(Z0,$fot(pixley(add(Y,X_809),X_810,Y)))]]) ).
cnf(refute_0_4222,plain,
( pixley(add(Y,add(Y,X_809)),X_810,Y) != pixley(add(Y,X_809),X_810,Y)
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(Y,X_809),X_810,Y) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),pixley(add(Y,add(Y,X_809)),X_810,Y)) )],[refute_0_4220,refute_0_4221]) ).
cnf(refute_0_4223,plain,
multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) = pixley(add(Y,X_809),X_810,Y),
inference(resolve,[$cnf( $equal(pixley(add(Y,add(Y,X_809)),X_810,Y),pixley(add(Y,X_809),X_810,Y)) )],[refute_0_4171,refute_0_4222]) ).
cnf(refute_0_4224,plain,
( multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != add(Y,pixley(add(X_809,Y),X_810,Y))
| multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != pixley(add(Y,X_809),X_810,Y)
| pixley(add(Y,X_809),X_810,Y) = add(Y,pixley(add(X_809,Y),X_810,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),add(Y,pixley(add(X_809,Y),X_810,Y))) ),[0],$fot(pixley(add(Y,X_809),X_810,Y))]]) ).
cnf(refute_0_4225,plain,
( multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != add(Y,pixley(add(X_809,Y),X_810,Y))
| pixley(add(Y,X_809),X_810,Y) = add(Y,pixley(add(X_809,Y),X_810,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),pixley(add(Y,X_809),X_810,Y)) )],[refute_0_4223,refute_0_4224]) ).
cnf(refute_0_4226,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) = add(X_288,multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288))),
inference(subst,[],[refute_0_2959:[bind(Y,$fot(X_288)),bind(Z,$fot(pixley(add(X_290,X_288),X_291,X_288))),bind(X_269,$fot(X_290)),bind(X_270,$fot(X_291))]]) ).
cnf(refute_0_4227,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)) = pixley(add(X_290,X_288),X_291,X_288),
inference(subst,[],[refute_0_1333:[bind(X_179,$fot(pixley(add(X_290,X_288),X_291,X_288)))]]) ).
cnf(refute_0_4228,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) != add(X_288,multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)))
| multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)) != pixley(add(X_290,X_288),X_291,X_288)
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) = add(X_288,pixley(add(X_290,X_288),X_291,X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))),add(X_288,multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)))) ),[1,1],$fot(pixley(add(X_290,X_288),X_291,X_288))]]) ).
cnf(refute_0_4229,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) != add(X_288,multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)))
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) = add(X_288,pixley(add(X_290,X_288),X_291,X_288)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)),pixley(add(X_290,X_288),X_291,X_288)) )],[refute_0_4227,refute_0_4228]) ).
cnf(refute_0_4230,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) = add(X_288,pixley(add(X_290,X_288),X_291,X_288)),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))),add(X_288,multiply(pixley(add(X_290,X_288),X_291,X_288),pixley(add(X_290,X_288),X_291,X_288)))) )],[refute_0_4226,refute_0_4229]) ).
cnf(refute_0_4231,plain,
multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) = pixley(add(X_290,X_288),X_291,X_288),
inference(subst,[],[refute_0_1549:[bind(X,$fot(X_288)),bind(Y,$fot(pixley(add(X_290,X_288),X_291,X_288)))]]) ).
cnf(refute_0_4232,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) != add(X_288,pixley(add(X_290,X_288),X_291,X_288))
| multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) != pixley(add(X_290,X_288),X_291,X_288)
| pixley(add(X_290,X_288),X_291,X_288) = add(X_288,pixley(add(X_290,X_288),X_291,X_288)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) ),[0],$fot(pixley(add(X_290,X_288),X_291,X_288))]]) ).
cnf(refute_0_4233,plain,
( multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) != add(X_288,pixley(add(X_290,X_288),X_291,X_288))
| pixley(add(X_290,X_288),X_291,X_288) = add(X_288,pixley(add(X_290,X_288),X_291,X_288)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))),pixley(add(X_290,X_288),X_291,X_288)) )],[refute_0_4231,refute_0_4232]) ).
cnf(refute_0_4234,plain,
pixley(add(X_290,X_288),X_291,X_288) = add(X_288,pixley(add(X_290,X_288),X_291,X_288)),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) )],[refute_0_4230,refute_0_4233]) ).
cnf(refute_0_4235,plain,
( pixley(add(X_290,X_288),X_291,X_288) != add(X_288,pixley(add(X_290,X_288),X_291,X_288))
| add(X_288,pixley(add(X_290,X_288),X_291,X_288)) = pixley(add(X_290,X_288),X_291,X_288) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_290,X_288),X_291,X_288))),bind(Y0,$fot(add(X_288,pixley(add(X_290,X_288),X_291,X_288))))]]) ).
cnf(refute_0_4236,plain,
add(X_288,pixley(add(X_290,X_288),X_291,X_288)) = pixley(add(X_290,X_288),X_291,X_288),
inference(resolve,[$cnf( $equal(pixley(add(X_290,X_288),X_291,X_288),add(X_288,pixley(add(X_290,X_288),X_291,X_288))) )],[refute_0_4234,refute_0_4235]) ).
cnf(refute_0_4237,plain,
add(Y,pixley(add(X_809,Y),X_810,Y)) = pixley(add(X_809,Y),X_810,Y),
inference(subst,[],[refute_0_4236:[bind(X_288,$fot(Y)),bind(X_290,$fot(X_809)),bind(X_291,$fot(X_810))]]) ).
cnf(refute_0_4238,plain,
( add(Y,pixley(add(X_809,Y),X_810,Y)) != pixley(add(X_809,Y),X_810,Y)
| pixley(add(Y,X_809),X_810,Y) != add(Y,pixley(add(X_809,Y),X_810,Y))
| pixley(add(Y,X_809),X_810,Y) = pixley(add(X_809,Y),X_810,Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(Y,X_809),X_810,Y),add(Y,pixley(add(X_809,Y),X_810,Y))) ),[1],$fot(pixley(add(X_809,Y),X_810,Y))]]) ).
cnf(refute_0_4239,plain,
( pixley(add(Y,X_809),X_810,Y) != add(Y,pixley(add(X_809,Y),X_810,Y))
| pixley(add(Y,X_809),X_810,Y) = pixley(add(X_809,Y),X_810,Y) ),
inference(resolve,[$cnf( $equal(add(Y,pixley(add(X_809,Y),X_810,Y)),pixley(add(X_809,Y),X_810,Y)) )],[refute_0_4237,refute_0_4238]) ).
cnf(refute_0_4240,plain,
( multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))) != add(Y,pixley(add(X_809,Y),X_810,Y))
| pixley(add(Y,X_809),X_810,Y) = pixley(add(X_809,Y),X_810,Y) ),
inference(resolve,[$cnf( $equal(pixley(add(Y,X_809),X_810,Y),add(Y,pixley(add(X_809,Y),X_810,Y))) )],[refute_0_4225,refute_0_4239]) ).
cnf(refute_0_4241,plain,
pixley(add(Y,X_809),X_810,Y) = pixley(add(X_809,Y),X_810,Y),
inference(resolve,[$cnf( $equal(multiply(add(Y,inverse(X_810)),add(Y,add(Y,X_809))),add(Y,pixley(add(X_809,Y),X_810,Y))) )],[refute_0_4166,refute_0_4240]) ).
cnf(refute_0_4242,plain,
( pixley(add(Y,X_809),X_810,Y) != pixley(add(X_809,Y),X_810,Y)
| pixley(add(X_809,Y),X_810,Y) = pixley(add(Y,X_809),X_810,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(Y,X_809),X_810,Y))),bind(Y0,$fot(pixley(add(X_809,Y),X_810,Y)))]]) ).
cnf(refute_0_4243,plain,
pixley(add(X_809,Y),X_810,Y) = pixley(add(Y,X_809),X_810,Y),
inference(resolve,[$cnf( $equal(pixley(add(Y,X_809),X_810,Y),pixley(add(X_809,Y),X_810,Y)) )],[refute_0_4241,refute_0_4242]) ).
cnf(refute_0_4244,plain,
pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)) = pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)),
inference(subst,[],[refute_0_4243:[bind(Y,$fot(add(X_1038,X_1037))),bind(X_809,$fot(multiply(X_1037,inverse(X_1038))))]]) ).
cnf(refute_0_4245,plain,
pixley(multiply(X_308,X_310),inverse(add(multiply(X_308,X_310),inverse(X_308))),n1) = add(multiply(X_308,X_310),inverse(X_308)),
inference(subst,[],[refute_0_3678:[bind(X_334,$fot(multiply(X_308,X_310))),bind(X_407,$fot(inverse(X_308)))]]) ).
cnf(refute_0_4246,plain,
( add(multiply(X_308,X_310),inverse(X_308)) != add(X_310,inverse(X_308))
| pixley(multiply(X_308,X_310),inverse(add(multiply(X_308,X_310),inverse(X_308))),n1) != add(multiply(X_308,X_310),inverse(X_308))
| pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) = add(multiply(X_308,X_310),inverse(X_308)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_308,X_310),inverse(add(multiply(X_308,X_310),inverse(X_308))),n1),add(multiply(X_308,X_310),inverse(X_308))) ),[0,1,0],$fot(add(X_310,inverse(X_308)))]]) ).
cnf(refute_0_4247,plain,
( pixley(multiply(X_308,X_310),inverse(add(multiply(X_308,X_310),inverse(X_308))),n1) != add(multiply(X_308,X_310),inverse(X_308))
| pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) = add(multiply(X_308,X_310),inverse(X_308)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_308,X_310),inverse(X_308)),add(X_310,inverse(X_308))) )],[refute_0_3043,refute_0_4246]) ).
cnf(refute_0_4248,plain,
pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) = add(multiply(X_308,X_310),inverse(X_308)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_308,X_310),inverse(add(multiply(X_308,X_310),inverse(X_308))),n1),add(multiply(X_308,X_310),inverse(X_308))) )],[refute_0_4245,refute_0_4247]) ).
cnf(refute_0_4249,plain,
( add(multiply(X_308,X_310),inverse(X_308)) != add(X_310,inverse(X_308))
| pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) != add(multiply(X_308,X_310),inverse(X_308))
| pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) = add(X_310,inverse(X_308)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1),add(multiply(X_308,X_310),inverse(X_308))) ),[1],$fot(add(X_310,inverse(X_308)))]]) ).
cnf(refute_0_4250,plain,
( pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) != add(multiply(X_308,X_310),inverse(X_308))
| pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) = add(X_310,inverse(X_308)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_308,X_310),inverse(X_308)),add(X_310,inverse(X_308))) )],[refute_0_3043,refute_0_4249]) ).
cnf(refute_0_4251,plain,
pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1) = add(X_310,inverse(X_308)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_308,X_310),inverse(add(X_310,inverse(X_308))),n1),add(multiply(X_308,X_310),inverse(X_308))) )],[refute_0_4248,refute_0_4250]) ).
cnf(refute_0_4252,plain,
pixley(multiply(inverse(X_786),add(X_788,X_787)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = add(add(X_788,X_787),inverse(inverse(X_786))),
inference(subst,[],[refute_0_4251:[bind(X_308,$fot(inverse(X_786))),bind(X_310,$fot(add(X_788,X_787)))]]) ).
cnf(refute_0_4253,plain,
multiply(inverse(X_786),add(X_788,X_787)) = multiply(inverse(X_786),add(X_787,X_788)),
inference(subst,[],[refute_0_3559:[bind(X_774,$fot(X_786)),bind(X_775,$fot(X_787)),bind(X_776,$fot(X_788))]]) ).
cnf(refute_0_4254,plain,
( multiply(inverse(X_786),add(X_788,X_787)) != multiply(inverse(X_786),add(X_787,X_788))
| pixley(multiply(inverse(X_786),add(X_788,X_787)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = add(add(X_788,X_787),inverse(inverse(X_786))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_788,X_787)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),add(add(X_788,X_787),inverse(inverse(X_786)))) ),[0,0],$fot(multiply(inverse(X_786),add(X_787,X_788)))]]) ).
cnf(refute_0_4255,plain,
( pixley(multiply(inverse(X_786),add(X_788,X_787)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = add(add(X_788,X_787),inverse(inverse(X_786))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_786),add(X_788,X_787)),multiply(inverse(X_786),add(X_787,X_788))) )],[refute_0_4253,refute_0_4254]) ).
cnf(refute_0_4256,plain,
pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = add(add(X_788,X_787),inverse(inverse(X_786))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_788,X_787)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),add(add(X_788,X_787),inverse(inverse(X_786)))) )],[refute_0_4252,refute_0_4255]) ).
cnf(refute_0_4257,plain,
pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1) = pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1),
inference(subst,[],[refute_0_3536:[bind(X,$fot(add(add(X_788,X_787),X_786))),bind(Z,$fot(n1)),bind(X_262,$fot(multiply(inverse(X_786),add(X_787,X_788))))]]) ).
cnf(refute_0_4258,plain,
inverse(inverse(X_786)) = X_786,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_786))]]) ).
cnf(refute_0_4259,plain,
add(add(X_788,X_787),inverse(inverse(X_786))) = add(add(X_788,X_787),inverse(inverse(X_786))),
introduced(tautology,[refl,[$fot(add(add(X_788,X_787),inverse(inverse(X_786))))]]) ).
cnf(refute_0_4260,plain,
( add(add(X_788,X_787),inverse(inverse(X_786))) != add(add(X_788,X_787),inverse(inverse(X_786)))
| inverse(inverse(X_786)) != X_786
| add(add(X_788,X_787),inverse(inverse(X_786))) = add(add(X_788,X_787),X_786) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_788,X_787),inverse(inverse(X_786))),add(add(X_788,X_787),inverse(inverse(X_786)))) ),[1,1],$fot(X_786)]]) ).
cnf(refute_0_4261,plain,
( inverse(inverse(X_786)) != X_786
| add(add(X_788,X_787),inverse(inverse(X_786))) = add(add(X_788,X_787),X_786) ),
inference(resolve,[$cnf( $equal(add(add(X_788,X_787),inverse(inverse(X_786))),add(add(X_788,X_787),inverse(inverse(X_786)))) )],[refute_0_4259,refute_0_4260]) ).
cnf(refute_0_4262,plain,
add(add(X_788,X_787),inverse(inverse(X_786))) = add(add(X_788,X_787),X_786),
inference(resolve,[$cnf( $equal(inverse(inverse(X_786)),X_786) )],[refute_0_4258,refute_0_4261]) ).
cnf(refute_0_4263,plain,
inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) = inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),
introduced(tautology,[refl,[$fot(inverse(add(add(X_788,X_787),inverse(inverse(X_786)))))]]) ).
cnf(refute_0_4264,plain,
( add(add(X_788,X_787),inverse(inverse(X_786))) != add(add(X_788,X_787),X_786)
| inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) != inverse(add(add(X_788,X_787),inverse(inverse(X_786))))
| inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) = inverse(add(add(X_788,X_787),X_786)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),inverse(add(add(X_788,X_787),inverse(inverse(X_786))))) ),[1,0],$fot(add(add(X_788,X_787),X_786))]]) ).
cnf(refute_0_4265,plain,
( add(add(X_788,X_787),inverse(inverse(X_786))) != add(add(X_788,X_787),X_786)
| inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) = inverse(add(add(X_788,X_787),X_786)) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),inverse(add(add(X_788,X_787),inverse(inverse(X_786))))) )],[refute_0_4263,refute_0_4264]) ).
cnf(refute_0_4266,plain,
inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) = inverse(add(add(X_788,X_787),X_786)),
inference(resolve,[$cnf( $equal(add(add(X_788,X_787),inverse(inverse(X_786))),add(add(X_788,X_787),X_786)) )],[refute_0_4262,refute_0_4265]) ).
cnf(refute_0_4267,plain,
pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1))]]) ).
cnf(refute_0_4268,plain,
( inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) != inverse(add(add(X_788,X_787),X_786))
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1)
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1)) ),[1,1],$fot(inverse(add(add(X_788,X_787),X_786)))]]) ).
cnf(refute_0_4269,plain,
( inverse(add(add(X_788,X_787),inverse(inverse(X_786)))) != inverse(add(add(X_788,X_787),X_786))
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1)) )],[refute_0_4267,refute_0_4268]) ).
cnf(refute_0_4270,plain,
pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1),
inference(resolve,[$cnf( $equal(inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),inverse(add(add(X_788,X_787),X_786))) )],[refute_0_4266,refute_0_4269]) ).
cnf(refute_0_4271,plain,
( pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1) != pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1)
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1)
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1))),bind(Y0,$fot(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1))),bind(Z0,$fot(pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1)))]]) ).
cnf(refute_0_4272,plain,
( pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1) != pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1)
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1)) )],[refute_0_4270,refute_0_4271]) ).
cnf(refute_0_4273,plain,
pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) = pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),X_786)),n1),pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1)) )],[refute_0_4257,refute_0_4272]) ).
cnf(refute_0_4274,plain,
( pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1)
| pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) = add(add(X_788,X_787),inverse(inverse(X_786))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),add(add(X_788,X_787),inverse(inverse(X_786)))) ),[0],$fot(pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1))]]) ).
cnf(refute_0_4275,plain,
( pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) = add(add(X_788,X_787),inverse(inverse(X_786))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1)) )],[refute_0_4273,refute_0_4274]) ).
cnf(refute_0_4276,plain,
( add(add(X_788,X_787),inverse(inverse(X_786))) != add(add(X_788,X_787),X_786)
| pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) = add(add(X_788,X_787),X_786) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1),add(add(X_788,X_787),inverse(inverse(X_786)))) ),[1],$fot(add(add(X_788,X_787),X_786))]]) ).
cnf(refute_0_4277,plain,
( pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) = add(add(X_788,X_787),X_786) ),
inference(resolve,[$cnf( $equal(add(add(X_788,X_787),inverse(inverse(X_786))),add(add(X_788,X_787),X_786)) )],[refute_0_4262,refute_0_4276]) ).
cnf(refute_0_4278,plain,
( pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1) != add(add(X_788,X_787),inverse(inverse(X_786)))
| pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) = add(add(X_788,X_787),X_786) ),
inference(resolve,[$cnf( $equal(pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1),add(add(X_788,X_787),inverse(inverse(X_786)))) )],[refute_0_4275,refute_0_4277]) ).
cnf(refute_0_4279,plain,
pixley(add(add(X_788,X_787),X_786),inverse(multiply(inverse(X_786),add(X_787,X_788))),n1) = add(add(X_788,X_787),X_786),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_786),add(X_787,X_788)),inverse(add(add(X_788,X_787),inverse(inverse(X_786)))),n1),add(add(X_788,X_787),inverse(inverse(X_786)))) )],[refute_0_4256,refute_0_4278]) ).
cnf(refute_0_4280,plain,
pixley(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),
inference(subst,[],[refute_0_4279:[bind(X_786,$fot(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))),bind(X_787,$fot(X_1011)),bind(X_788,$fot(X_1012))]]) ).
cnf(refute_0_4281,plain,
pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),
inference(subst,[],[refute_0_4234:[bind(X_288,$fot(add(X_1012,X_1011)))]]) ).
cnf(refute_0_4282,plain,
( pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))),bind(Y0,$fot(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))))]]) ).
cnf(refute_0_4283,plain,
add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),
inference(resolve,[$cnf( $equal(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) )],[refute_0_4281,refute_0_4282]) ).
cnf(refute_0_4284,plain,
( add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) != pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))
| pixley(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1),add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) ),[0,0],$fot(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))]]) ).
cnf(refute_0_4285,plain,
( pixley(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),
inference(resolve,[$cnf( $equal(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) )],[refute_0_4283,refute_0_4284]) ).
cnf(refute_0_4286,plain,
pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),
inference(resolve,[$cnf( $equal(pixley(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1),add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) )],[refute_0_4280,refute_0_4285]) ).
cnf(refute_0_4287,plain,
multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) = add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))))]]) ).
cnf(refute_0_4288,plain,
pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(multiply(inverse(X_591),X_312),X_591))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(multiply(inverse(X_591),X_312))),bind(Z,$fot(X_590)),bind(X_262,$fot(X_591))]]) ).
cnf(refute_0_4289,plain,
add(multiply(inverse(X_591),X_312),X_591) = add(X_312,X_591),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_591))]]) ).
cnf(refute_0_4290,plain,
( add(multiply(inverse(X_591),X_312),X_591) != add(X_312,X_591)
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(multiply(inverse(X_591),X_312),X_591)))
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(multiply(inverse(X_591),X_312),X_591)))) ),[1,1,1],$fot(add(X_312,X_591))]]) ).
cnf(refute_0_4291,plain,
( pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(multiply(inverse(X_591),X_312),X_591)))
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_591),X_312),X_591),add(X_312,X_591)) )],[refute_0_4289,refute_0_4290]) ).
cnf(refute_0_4292,plain,
pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(multiply(inverse(X_591),X_312),X_591)))) )],[refute_0_4288,refute_0_4291]) ).
cnf(refute_0_4293,plain,
multiply(multiply(inverse(X_591),X_312),X_591) = multiply(X_591,multiply(inverse(X_591),X_312)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(X_591)),bind(Y,$fot(multiply(inverse(X_591),X_312)))]]) ).
cnf(refute_0_4294,plain,
add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) = add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))),
introduced(tautology,[refl,[$fot(add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))))]]) ).
cnf(refute_0_4295,plain,
( multiply(multiply(inverse(X_591),X_312),X_591) != multiply(X_591,multiply(inverse(X_591),X_312))
| add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) != add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))
| add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))),add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))) ),[1,0],$fot(multiply(X_591,multiply(inverse(X_591),X_312)))]]) ).
cnf(refute_0_4296,plain,
( multiply(multiply(inverse(X_591),X_312),X_591) != multiply(X_591,multiply(inverse(X_591),X_312))
| add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))),add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4294,refute_0_4295]) ).
cnf(refute_0_4297,plain,
add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_591,multiply(inverse(X_591),X_312))) )],[refute_0_4293,refute_0_4296]) ).
cnf(refute_0_4298,plain,
( add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))) ),[1],$fot(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))))]]) ).
cnf(refute_0_4299,plain,
( pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591))),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4297,refute_0_4298]) ).
cnf(refute_0_4300,plain,
pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(multiply(inverse(X_591),X_312),X_591),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4292,refute_0_4299]) ).
cnf(refute_0_4301,plain,
pixley(X,inverse(multiply(inverse(X),X_612)),Z) = add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X,multiply(inverse(X),X_612)))),
inference(subst,[],[refute_0_2222:[bind(X_262,$fot(multiply(inverse(X),X_612)))]]) ).
cnf(refute_0_4302,plain,
add(X_612,X) = add(X,multiply(inverse(X),X_612)),
inference(subst,[],[refute_0_3718:[bind(X_312,$fot(X_612)),bind(X_605,$fot(X))]]) ).
cnf(refute_0_4303,plain,
( add(X_612,X) != add(X,multiply(inverse(X),X_612))
| add(X,multiply(inverse(X),X_612)) = add(X_612,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_612,X))),bind(Y0,$fot(add(X,multiply(inverse(X),X_612))))]]) ).
cnf(refute_0_4304,plain,
add(X,multiply(inverse(X),X_612)) = add(X_612,X),
inference(resolve,[$cnf( $equal(add(X_612,X),add(X,multiply(inverse(X),X_612))) )],[refute_0_4302,refute_0_4303]) ).
cnf(refute_0_4305,plain,
( add(X,multiply(inverse(X),X_612)) != add(X_612,X)
| pixley(X,inverse(multiply(inverse(X),X_612)),Z) != add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X,multiply(inverse(X),X_612))))
| pixley(X,inverse(multiply(inverse(X),X_612)),Z) = add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(multiply(inverse(X),X_612)),Z),add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X,multiply(inverse(X),X_612))))) ),[1,1,1],$fot(add(X_612,X))]]) ).
cnf(refute_0_4306,plain,
( pixley(X,inverse(multiply(inverse(X),X_612)),Z) != add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X,multiply(inverse(X),X_612))))
| pixley(X,inverse(multiply(inverse(X),X_612)),Z) = add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(X),X_612)),add(X_612,X)) )],[refute_0_4304,refute_0_4305]) ).
cnf(refute_0_4307,plain,
pixley(X,inverse(multiply(inverse(X),X_612)),Z) = add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(multiply(inverse(X),X_612)),Z),add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X,multiply(inverse(X),X_612))))) )],[refute_0_4301,refute_0_4306]) ).
cnf(refute_0_4308,plain,
( pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590))),bind(Y0,$fot(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))))]]) ).
cnf(refute_0_4309,plain,
add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4300,refute_0_4308]) ).
cnf(refute_0_4310,plain,
add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X))) = pixley(multiply(inverse(X),X_612),inverse(X),Z),
inference(subst,[],[refute_0_4309:[bind(X_312,$fot(X_612)),bind(X_590,$fot(Z)),bind(X_591,$fot(X))]]) ).
cnf(refute_0_4311,plain,
( add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X))) != pixley(multiply(inverse(X),X_612),inverse(X),Z)
| pixley(X,inverse(multiply(inverse(X),X_612)),Z) != add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X)))
| pixley(X,inverse(multiply(inverse(X),X_612)),Z) = pixley(multiply(inverse(X),X_612),inverse(X),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(multiply(inverse(X),X_612)),Z),add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X)))) ),[1],$fot(pixley(multiply(inverse(X),X_612),inverse(X),Z))]]) ).
cnf(refute_0_4312,plain,
( pixley(X,inverse(multiply(inverse(X),X_612)),Z) != add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X)))
| pixley(X,inverse(multiply(inverse(X),X_612)),Z) = pixley(multiply(inverse(X),X_612),inverse(X),Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X))),pixley(multiply(inverse(X),X_612),inverse(X),Z)) )],[refute_0_4310,refute_0_4311]) ).
cnf(refute_0_4313,plain,
pixley(X,inverse(multiply(inverse(X),X_612)),Z) = pixley(multiply(inverse(X),X_612),inverse(X),Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(multiply(inverse(X),X_612)),Z),add(multiply(X,multiply(inverse(X),X_612)),multiply(Z,add(X_612,X)))) )],[refute_0_4307,refute_0_4312]) ).
cnf(refute_0_4314,plain,
( pixley(X,inverse(multiply(inverse(X),X_612)),Z) != pixley(multiply(inverse(X),X_612),inverse(X),Z)
| pixley(multiply(inverse(X),X_612),inverse(X),Z) = pixley(X,inverse(multiply(inverse(X),X_612)),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,inverse(multiply(inverse(X),X_612)),Z))),bind(Y0,$fot(pixley(multiply(inverse(X),X_612),inverse(X),Z)))]]) ).
cnf(refute_0_4315,plain,
pixley(multiply(inverse(X),X_612),inverse(X),Z) = pixley(X,inverse(multiply(inverse(X),X_612)),Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(multiply(inverse(X),X_612)),Z),pixley(multiply(inverse(X),X_612),inverse(X),Z)) )],[refute_0_4313,refute_0_4314]) ).
cnf(refute_0_4316,plain,
pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) = pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590),
inference(subst,[],[refute_0_4315:[bind(X,$fot(X_591)),bind(Z,$fot(X_590)),bind(X_612,$fot(X_312))]]) ).
cnf(refute_0_4317,plain,
( pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590)
| pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) ),[0],$fot(pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590))]]) ).
cnf(refute_0_4318,plain,
( pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590)) )],[refute_0_4316,refute_0_4317]) ).
cnf(refute_0_4319,plain,
pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_591),X_312),inverse(X_591),X_590),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4300,refute_0_4318]) ).
cnf(refute_0_4320,plain,
add(inverse(n1),multiply(X_590,add(X_312,X_591))) = multiply(X_590,add(X_312,X_591)),
inference(subst,[],[refute_0_2011:[bind(X,$fot(multiply(X_590,add(X_312,X_591))))]]) ).
cnf(refute_0_4321,plain,
multiply(multiply(multiply(inverse(X_418),Y),X_418),add(multiply(inverse(X_418),Y),inverse(X_418))) = multiply(multiply(inverse(X_418),Y),X_418),
inference(subst,[],[refute_0_3808:[bind(X_281,$fot(multiply(inverse(X_418),Y))),bind(X_311,$fot(X_418))]]) ).
cnf(refute_0_4322,plain,
inverse(X_418) = add(multiply(inverse(X_418),Y),inverse(X_418)),
inference(subst,[],[refute_0_3247:[bind(X_305,$fot(inverse(X_418)))]]) ).
cnf(refute_0_4323,plain,
( inverse(X_418) != add(multiply(inverse(X_418),Y),inverse(X_418))
| add(multiply(inverse(X_418),Y),inverse(X_418)) = inverse(X_418) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_418))),bind(Y0,$fot(add(multiply(inverse(X_418),Y),inverse(X_418))))]]) ).
cnf(refute_0_4324,plain,
add(multiply(inverse(X_418),Y),inverse(X_418)) = inverse(X_418),
inference(resolve,[$cnf( $equal(inverse(X_418),add(multiply(inverse(X_418),Y),inverse(X_418))) )],[refute_0_4322,refute_0_4323]) ).
cnf(refute_0_4325,plain,
( multiply(multiply(multiply(inverse(X_418),Y),X_418),add(multiply(inverse(X_418),Y),inverse(X_418))) != multiply(multiply(inverse(X_418),Y),X_418)
| add(multiply(inverse(X_418),Y),inverse(X_418)) != inverse(X_418)
| multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(multiply(inverse(X_418),Y),X_418) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_418),Y),X_418),add(multiply(inverse(X_418),Y),inverse(X_418))),multiply(multiply(inverse(X_418),Y),X_418)) ),[0,1],$fot(inverse(X_418))]]) ).
cnf(refute_0_4326,plain,
( multiply(multiply(multiply(inverse(X_418),Y),X_418),add(multiply(inverse(X_418),Y),inverse(X_418))) != multiply(multiply(inverse(X_418),Y),X_418)
| multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(multiply(inverse(X_418),Y),X_418) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_418),Y),inverse(X_418)),inverse(X_418)) )],[refute_0_4324,refute_0_4325]) ).
cnf(refute_0_4327,plain,
multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(multiply(inverse(X_418),Y),X_418),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_418),Y),X_418),add(multiply(inverse(X_418),Y),inverse(X_418))),multiply(multiply(inverse(X_418),Y),X_418)) )],[refute_0_4321,refute_0_4326]) ).
cnf(refute_0_4328,plain,
multiply(multiply(inverse(X_418),Y),X_418) = multiply(X_418,multiply(inverse(X_418),Y)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(X_418)),bind(Y,$fot(multiply(inverse(X_418),Y)))]]) ).
cnf(refute_0_4329,plain,
multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) = multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)))]]) ).
cnf(refute_0_4330,plain,
( multiply(multiply(inverse(X_418),Y),X_418) != multiply(X_418,multiply(inverse(X_418),Y))
| multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) != multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418))
| multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) = multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)),multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418))) ),[1,1],$fot(multiply(X_418,multiply(inverse(X_418),Y)))]]) ).
cnf(refute_0_4331,plain,
( multiply(multiply(inverse(X_418),Y),X_418) != multiply(X_418,multiply(inverse(X_418),Y))
| multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) = multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)),multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418))) )],[refute_0_4329,refute_0_4330]) ).
cnf(refute_0_4332,plain,
multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) = multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_418),Y),X_418),multiply(X_418,multiply(inverse(X_418),Y))) )],[refute_0_4328,refute_0_4331]) ).
cnf(refute_0_4333,plain,
multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(inverse(X_418))),bind(Y,$fot(multiply(multiply(inverse(X_418),Y),X_418)))]]) ).
cnf(refute_0_4334,plain,
( multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) != multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418))
| multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) != multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y)))
| multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)))),bind(Y0,$fot(multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)))),bind(Z0,$fot(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y)))))]]) ).
cnf(refute_0_4335,plain,
( multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)) != multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y)))
| multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)),multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418))) )],[refute_0_4333,refute_0_4334]) ).
cnf(refute_0_4336,plain,
multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) = multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_418),multiply(multiply(inverse(X_418),Y),X_418)),multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y)))) )],[refute_0_4332,refute_0_4335]) ).
cnf(refute_0_4337,plain,
( multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) != multiply(multiply(inverse(X_418),Y),X_418)
| multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) != multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y)))
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = multiply(multiply(inverse(X_418),Y),X_418) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)),multiply(multiply(inverse(X_418),Y),X_418)) ),[0],$fot(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))))]]) ).
cnf(refute_0_4338,plain,
( multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) != multiply(multiply(inverse(X_418),Y),X_418)
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = multiply(multiply(inverse(X_418),Y),X_418) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)),multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y)))) )],[refute_0_4336,refute_0_4337]) ).
cnf(refute_0_4339,plain,
( multiply(multiply(inverse(X_418),Y),X_418) != multiply(X_418,multiply(inverse(X_418),Y))
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) != multiply(multiply(inverse(X_418),Y),X_418)
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = multiply(X_418,multiply(inverse(X_418),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),multiply(multiply(inverse(X_418),Y),X_418)) ),[1],$fot(multiply(X_418,multiply(inverse(X_418),Y)))]]) ).
cnf(refute_0_4340,plain,
( multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) != multiply(multiply(inverse(X_418),Y),X_418)
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = multiply(X_418,multiply(inverse(X_418),Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_418),Y),X_418),multiply(X_418,multiply(inverse(X_418),Y))) )],[refute_0_4328,refute_0_4339]) ).
cnf(refute_0_4341,plain,
( multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)) != multiply(multiply(inverse(X_418),Y),X_418)
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = multiply(X_418,multiply(inverse(X_418),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),multiply(multiply(inverse(X_418),Y),X_418)) )],[refute_0_4338,refute_0_4340]) ).
cnf(refute_0_4342,plain,
multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = multiply(X_418,multiply(inverse(X_418),Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_418),Y),X_418),inverse(X_418)),multiply(multiply(inverse(X_418),Y),X_418)) )],[refute_0_4327,refute_0_4341]) ).
cnf(refute_0_4343,plain,
multiply(multiply(X_661,Y),inverse(add(X_661,multiply(X_661,Y)))) = inverse(n1),
inference(subst,[],[refute_0_3923:[bind(X_659,$fot(X_661)),bind(X_660,$fot(multiply(X_661,Y)))]]) ).
cnf(refute_0_4344,plain,
X_661 = add(X_661,multiply(X_661,Y)),
inference(subst,[],[refute_0_4127:[bind(X_605,$fot(X_661))]]) ).
cnf(refute_0_4345,plain,
( X_661 != add(X_661,multiply(X_661,Y))
| add(X_661,multiply(X_661,Y)) = X_661 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_661)),bind(Y0,$fot(add(X_661,multiply(X_661,Y))))]]) ).
cnf(refute_0_4346,plain,
add(X_661,multiply(X_661,Y)) = X_661,
inference(resolve,[$cnf( $equal(X_661,add(X_661,multiply(X_661,Y))) )],[refute_0_4344,refute_0_4345]) ).
cnf(refute_0_4347,plain,
( multiply(multiply(X_661,Y),inverse(add(X_661,multiply(X_661,Y)))) != inverse(n1)
| add(X_661,multiply(X_661,Y)) != X_661
| multiply(multiply(X_661,Y),inverse(X_661)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_661,Y),inverse(add(X_661,multiply(X_661,Y)))),inverse(n1)) ),[0,1,0],$fot(X_661)]]) ).
cnf(refute_0_4348,plain,
( multiply(multiply(X_661,Y),inverse(add(X_661,multiply(X_661,Y)))) != inverse(n1)
| multiply(multiply(X_661,Y),inverse(X_661)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(X_661,multiply(X_661,Y)),X_661) )],[refute_0_4346,refute_0_4347]) ).
cnf(refute_0_4349,plain,
multiply(multiply(X_661,Y),inverse(X_661)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X_661,Y),inverse(add(X_661,multiply(X_661,Y)))),inverse(n1)) )],[refute_0_4343,refute_0_4348]) ).
cnf(refute_0_4350,plain,
multiply(multiply(X_661,Y),inverse(X_661)) = multiply(inverse(X_661),multiply(X_661,Y)),
inference(subst,[],[refute_0_3913:[bind(X_570,$fot(X_661)),bind(X_571,$fot(multiply(X_661,Y)))]]) ).
cnf(refute_0_4351,plain,
( multiply(multiply(X_661,Y),inverse(X_661)) != multiply(inverse(X_661),multiply(X_661,Y))
| multiply(multiply(X_661,Y),inverse(X_661)) != inverse(n1)
| multiply(inverse(X_661),multiply(X_661,Y)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_661,Y),inverse(X_661)),inverse(n1)) ),[0],$fot(multiply(inverse(X_661),multiply(X_661,Y)))]]) ).
cnf(refute_0_4352,plain,
( multiply(multiply(X_661,Y),inverse(X_661)) != inverse(n1)
| multiply(inverse(X_661),multiply(X_661,Y)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_661,Y),inverse(X_661)),multiply(inverse(X_661),multiply(X_661,Y))) )],[refute_0_4350,refute_0_4351]) ).
cnf(refute_0_4353,plain,
multiply(inverse(X_661),multiply(X_661,Y)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X_661,Y),inverse(X_661)),inverse(n1)) )],[refute_0_4349,refute_0_4352]) ).
cnf(refute_0_4354,plain,
multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) = inverse(n1),
inference(subst,[],[refute_0_4353:[bind(Y,$fot(multiply(inverse(X_418),Y))),bind(X_661,$fot(X_418))]]) ).
cnf(refute_0_4355,plain,
( multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) != multiply(X_418,multiply(inverse(X_418),Y))
| multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) != inverse(n1)
| inverse(n1) = multiply(X_418,multiply(inverse(X_418),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),multiply(X_418,multiply(inverse(X_418),Y))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_4356,plain,
( multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))) != multiply(X_418,multiply(inverse(X_418),Y))
| inverse(n1) = multiply(X_418,multiply(inverse(X_418),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),inverse(n1)) )],[refute_0_4354,refute_0_4355]) ).
cnf(refute_0_4357,plain,
inverse(n1) = multiply(X_418,multiply(inverse(X_418),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_418),multiply(X_418,multiply(inverse(X_418),Y))),multiply(X_418,multiply(inverse(X_418),Y))) )],[refute_0_4342,refute_0_4356]) ).
cnf(refute_0_4358,plain,
( inverse(n1) != multiply(X_418,multiply(inverse(X_418),Y))
| multiply(X_418,multiply(inverse(X_418),Y)) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(X_418,multiply(inverse(X_418),Y))))]]) ).
cnf(refute_0_4359,plain,
multiply(X_418,multiply(inverse(X_418),Y)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(X_418,multiply(inverse(X_418),Y))) )],[refute_0_4357,refute_0_4358]) ).
cnf(refute_0_4360,plain,
multiply(X_591,multiply(inverse(X_591),X_312)) = inverse(n1),
inference(subst,[],[refute_0_4359:[bind(Y,$fot(X_312)),bind(X_418,$fot(X_591))]]) ).
cnf(refute_0_4361,plain,
add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),
introduced(tautology,[refl,[$fot(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))))]]) ).
cnf(refute_0_4362,plain,
( multiply(X_591,multiply(inverse(X_591),X_312)) != inverse(n1)
| add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = add(inverse(n1),multiply(X_590,add(X_312,X_591))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_4363,plain,
( multiply(X_591,multiply(inverse(X_591),X_312)) != inverse(n1)
| add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = add(inverse(n1),multiply(X_590,add(X_312,X_591))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4361,refute_0_4362]) ).
cnf(refute_0_4364,plain,
add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = add(inverse(n1),multiply(X_590,add(X_312,X_591))),
inference(resolve,[$cnf( $equal(multiply(X_591,multiply(inverse(X_591),X_312)),inverse(n1)) )],[refute_0_4360,refute_0_4363]) ).
cnf(refute_0_4365,plain,
( add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) != add(inverse(n1),multiply(X_590,add(X_312,X_591)))
| add(inverse(n1),multiply(X_590,add(X_312,X_591))) != multiply(X_590,add(X_312,X_591))
| add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = multiply(X_590,add(X_312,X_591)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))))),bind(Y0,$fot(add(inverse(n1),multiply(X_590,add(X_312,X_591))))),bind(Z0,$fot(multiply(X_590,add(X_312,X_591))))]]) ).
cnf(refute_0_4366,plain,
( add(inverse(n1),multiply(X_590,add(X_312,X_591))) != multiply(X_590,add(X_312,X_591))
| add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = multiply(X_590,add(X_312,X_591)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),add(inverse(n1),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4364,refute_0_4365]) ).
cnf(refute_0_4367,plain,
add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) = multiply(X_590,add(X_312,X_591)),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_590,add(X_312,X_591))),multiply(X_590,add(X_312,X_591))) )],[refute_0_4320,refute_0_4366]) ).
cnf(refute_0_4368,plain,
( add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))) != multiply(X_590,add(X_312,X_591))
| pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) = multiply(X_590,add(X_312,X_591)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) ),[1],$fot(multiply(X_590,add(X_312,X_591)))]]) ).
cnf(refute_0_4369,plain,
( pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) != add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))
| pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) = multiply(X_590,add(X_312,X_591)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591))),multiply(X_590,add(X_312,X_591))) )],[refute_0_4367,refute_0_4368]) ).
cnf(refute_0_4370,plain,
pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590) = multiply(X_590,add(X_312,X_591)),
inference(resolve,[$cnf( $equal(pixley(X_591,inverse(multiply(inverse(X_591),X_312)),X_590),add(multiply(X_591,multiply(inverse(X_591),X_312)),multiply(X_590,add(X_312,X_591)))) )],[refute_0_4319,refute_0_4369]) ).
cnf(refute_0_4371,plain,
pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))),
inference(subst,[],[refute_0_4370:[bind(X_312,$fot(add(X_1011,X_1012))),bind(X_590,$fot(n1)),bind(X_591,$fot(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))))]]) ).
cnf(refute_0_4372,plain,
( multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) != add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))))
| pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1))),bind(Y0,$fot(multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))))),bind(Z0,$fot(add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))))]]) ).
cnf(refute_0_4373,plain,
( multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) != add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),
inference(resolve,[$cnf( $equal(pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1),multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))))) )],[refute_0_4371,refute_0_4372]) ).
cnf(refute_0_4374,plain,
pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) = add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))),add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) )],[refute_0_4287,refute_0_4373]) ).
cnf(refute_0_4375,plain,
( pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1),add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) ),[0],$fot(add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))))]]) ).
cnf(refute_0_4376,plain,
( pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),
inference(resolve,[$cnf( $equal(pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1),add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) )],[refute_0_4374,refute_0_4375]) ).
cnf(refute_0_4377,plain,
( add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) != pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))
| add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) ),[0],$fot(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))))]]) ).
cnf(refute_0_4378,plain,
( add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)) ),
inference(resolve,[$cnf( $equal(add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) )],[refute_0_4283,refute_0_4377]) ).
cnf(refute_0_4379,plain,
( pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1) != add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))
| add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)) ),
inference(resolve,[$cnf( $equal(add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) )],[refute_0_4376,refute_0_4378]) ).
cnf(refute_0_4380,plain,
add(add(X_1011,X_1012),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))) = pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),
inference(resolve,[$cnf( $equal(pixley(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)),inverse(multiply(inverse(pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011))),add(X_1011,X_1012))),n1),add(add(X_1012,X_1011),pixley(add(X_290,add(X_1012,X_1011)),X_291,add(X_1012,X_1011)))) )],[refute_0_4286,refute_0_4379]) ).
cnf(refute_0_4381,plain,
add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)),
inference(subst,[],[refute_0_4380:[bind(X_1011,$fot(X_1037)),bind(X_1012,$fot(X_1038)),bind(X_290,$fot(multiply(X_1037,inverse(X_1038)))),bind(X_291,$fot(X_810))]]) ).
cnf(refute_0_4382,plain,
( add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) != pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))
| pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)) != pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))
| add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))))),bind(Y0,$fot(pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))),bind(Z0,$fot(pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))))]]) ).
cnf(refute_0_4383,plain,
( pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)) != pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))
| add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) ),
inference(resolve,[$cnf( $equal(add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) )],[refute_0_4381,refute_0_4382]) ).
cnf(refute_0_4384,plain,
add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)),pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))) )],[refute_0_4244,refute_0_4383]) ).
cnf(refute_0_4385,plain,
( add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) != pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))
| pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) != pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))
| add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))))),bind(Y0,$fot(pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)))),bind(Z0,$fot(pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))))]]) ).
cnf(refute_0_4386,plain,
( pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)) != pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))
| add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
inference(resolve,[$cnf( $equal(add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))),pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037))) )],[refute_0_4384,refute_0_4385]) ).
cnf(refute_0_4387,plain,
add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)),
inference(resolve,[$cnf( $equal(pixley(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),X_810,add(X_1038,X_1037)),pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))) )],[refute_0_4161,refute_0_4386]) ).
cnf(refute_0_4388,plain,
( add(X_1037,X_1038) != add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))) != pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))
| add(X_1037,X_1038) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_1037,X_1038),pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))) ),[0],$fot(add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))))]]) ).
cnf(refute_0_4389,plain,
( add(X_1037,X_1038) != add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(X_1037,X_1038) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
inference(resolve,[$cnf( $equal(add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037))),pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))) )],[refute_0_4387,refute_0_4388]) ).
cnf(refute_0_4390,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))
| add(X_1037,X_1038) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) ),
inference(resolve,[$cnf( $equal(add(X_1037,X_1038),add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))) )],[refute_0_4157,refute_0_4389]) ).
cnf(refute_0_4391,plain,
add(X_1037,X_1038) = pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(add(X_1037,X_1038),pixley(add(multiply(X_1037,inverse(X_1038)),add(X_1038,X_1037)),X_810,add(X_1038,X_1037)))) )],[refute_0_4155,refute_0_4390]) ).
cnf(refute_0_4392,plain,
( add(X_1037,X_1038) != pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))
| pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) = add(X_1037,X_1038) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_1037,X_1038))),bind(Y0,$fot(pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))))]]) ).
cnf(refute_0_4393,plain,
pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037)) = add(X_1037,X_1038),
inference(resolve,[$cnf( $equal(add(X_1037,X_1038),pixley(add(X_1037,X_1038),X_810,add(X_1038,X_1037))) )],[refute_0_4391,refute_0_4392]) ).
cnf(refute_0_4394,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) = add(X_1038,X_1037),
inference(subst,[],[refute_0_4393:[bind(X_1037,$fot(X_1038)),bind(X_1038,$fot(X_1037)),bind(X_810,$fot(inverse(multiply(X_1037,inverse(X_1038)))))]]) ).
cnf(refute_0_4395,plain,
( pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) != add(X_1038,X_1037)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) != pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)
| add(X_1038,X_1037) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)),pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)) ),[0],$fot(add(X_1038,X_1037))]]) ).
cnf(refute_0_4396,plain,
( pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) != pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)
| add(X_1038,X_1037) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)),add(X_1038,X_1037)) )],[refute_0_4394,refute_0_4395]) ).
cnf(refute_0_4397,plain,
add(X_1038,X_1037) = pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)),pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)) )],[refute_0_4108,refute_0_4396]) ).
cnf(refute_0_4398,plain,
multiply(n1,add(X_1037,X_1038)) = add(X_1037,X_1038),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X_1037,X_1038)))]]) ).
cnf(refute_0_4399,plain,
multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),
inference(subst,[],[refute_0_2456:[bind(Y,$fot(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))),bind(X_279,$fot(add(X_553,X_554)))]]) ).
cnf(refute_0_4400,plain,
multiply(pixley(X_10,X_11,n1),multiply(n1,add(X_10,inverse(X_11)))) = multiply(n1,add(X_10,inverse(X_11))),
inference(subst,[],[refute_0_80:[bind(X_12,$fot(n1))]]) ).
cnf(refute_0_4401,plain,
add(X_10,inverse(X_11)) = multiply(n1,add(X_10,inverse(X_11))),
inference(subst,[],[refute_0_1879:[bind(X_26,$fot(add(X_10,inverse(X_11))))]]) ).
cnf(refute_0_4402,plain,
( add(X_10,inverse(X_11)) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(n1,add(X_10,inverse(X_11))) = add(X_10,inverse(X_11)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_10,inverse(X_11)))),bind(Y0,$fot(multiply(n1,add(X_10,inverse(X_11)))))]]) ).
cnf(refute_0_4403,plain,
multiply(n1,add(X_10,inverse(X_11))) = add(X_10,inverse(X_11)),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_11)),multiply(n1,add(X_10,inverse(X_11)))) )],[refute_0_4401,refute_0_4402]) ).
cnf(refute_0_4404,plain,
( multiply(n1,add(X_10,inverse(X_11))) != add(X_10,inverse(X_11))
| multiply(pixley(X_10,X_11,n1),multiply(n1,add(X_10,inverse(X_11)))) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) = multiply(n1,add(X_10,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,X_11,n1),multiply(n1,add(X_10,inverse(X_11)))),multiply(n1,add(X_10,inverse(X_11)))) ),[0,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_4405,plain,
( multiply(pixley(X_10,X_11,n1),multiply(n1,add(X_10,inverse(X_11)))) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) = multiply(n1,add(X_10,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))) )],[refute_0_4403,refute_0_4404]) ).
cnf(refute_0_4406,plain,
multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) = multiply(n1,add(X_10,inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,X_11,n1),multiply(n1,add(X_10,inverse(X_11)))),multiply(n1,add(X_10,inverse(X_11)))) )],[refute_0_4400,refute_0_4405]) ).
cnf(refute_0_4407,plain,
multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) = multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(add(X_10,inverse(X_11)))),bind(Y,$fot(pixley(X_10,X_11,n1)))]]) ).
cnf(refute_0_4408,plain,
( multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) != multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1))
| multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) = multiply(n1,add(X_10,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))),multiply(n1,add(X_10,inverse(X_11)))) ),[0],$fot(multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)))]]) ).
cnf(refute_0_4409,plain,
( multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) = multiply(n1,add(X_10,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))),multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1))) )],[refute_0_4407,refute_0_4408]) ).
cnf(refute_0_4410,plain,
( multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(n1,add(X_10,inverse(X_11))) != add(X_10,inverse(X_11))
| multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) = add(X_10,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)),add(X_10,inverse(X_11))) ),[0],$fot(multiply(n1,add(X_10,inverse(X_11))))]]) ).
cnf(refute_0_4411,plain,
( multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) = add(X_10,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_10,inverse(X_11))),add(X_10,inverse(X_11))) )],[refute_0_4403,refute_0_4410]) ).
cnf(refute_0_4412,plain,
( multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))) != multiply(n1,add(X_10,inverse(X_11)))
| multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) = add(X_10,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)),multiply(n1,add(X_10,inverse(X_11)))) )],[refute_0_4409,refute_0_4411]) ).
cnf(refute_0_4413,plain,
multiply(add(X_10,inverse(X_11)),pixley(X_10,X_11,n1)) = add(X_10,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,X_11,n1),add(X_10,inverse(X_11))),multiply(n1,add(X_10,inverse(X_11)))) )],[refute_0_4406,refute_0_4412]) ).
cnf(refute_0_4414,plain,
multiply(add(X_513,inverse(inverse(Y))),pixley(X_513,inverse(Y),n1)) = add(X_513,inverse(inverse(Y))),
inference(subst,[],[refute_0_4413:[bind(X_10,$fot(X_513)),bind(X_11,$fot(inverse(Y)))]]) ).
cnf(refute_0_4415,plain,
( multiply(add(X_513,inverse(inverse(Y))),pixley(X_513,inverse(Y),n1)) != add(X_513,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) = add(X_513,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_513,inverse(inverse(Y))),pixley(X_513,inverse(Y),n1)),add(X_513,inverse(inverse(Y)))) ),[0,0,1],$fot(Y)]]) ).
cnf(refute_0_4416,plain,
( multiply(add(X_513,inverse(inverse(Y))),pixley(X_513,inverse(Y),n1)) != add(X_513,inverse(inverse(Y)))
| multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) = add(X_513,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4415]) ).
cnf(refute_0_4417,plain,
multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) = add(X_513,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(add(X_513,inverse(inverse(Y))),pixley(X_513,inverse(Y),n1)),add(X_513,inverse(inverse(Y)))) )],[refute_0_4414,refute_0_4416]) ).
cnf(refute_0_4418,plain,
add(X_513,inverse(inverse(Y))) = add(X_513,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(add(X_513,inverse(inverse(Y))))]]) ).
cnf(refute_0_4419,plain,
( add(X_513,inverse(inverse(Y))) != add(X_513,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| add(X_513,inverse(inverse(Y))) = add(X_513,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_513,inverse(inverse(Y))),add(X_513,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_4420,plain,
( inverse(inverse(Y)) != Y
| add(X_513,inverse(inverse(Y))) = add(X_513,Y) ),
inference(resolve,[$cnf( $equal(add(X_513,inverse(inverse(Y))),add(X_513,inverse(inverse(Y)))) )],[refute_0_4418,refute_0_4419]) ).
cnf(refute_0_4421,plain,
add(X_513,inverse(inverse(Y))) = add(X_513,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4420]) ).
cnf(refute_0_4422,plain,
( multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) != add(X_513,inverse(inverse(Y)))
| add(X_513,inverse(inverse(Y))) != add(X_513,Y)
| multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) = add(X_513,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)),add(X_513,Y)) ),[0],$fot(add(X_513,inverse(inverse(Y))))]]) ).
cnf(refute_0_4423,plain,
( multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) != add(X_513,inverse(inverse(Y)))
| multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) = add(X_513,Y) ),
inference(resolve,[$cnf( $equal(add(X_513,inverse(inverse(Y))),add(X_513,Y)) )],[refute_0_4421,refute_0_4422]) ).
cnf(refute_0_4424,plain,
multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)) = add(X_513,Y),
inference(resolve,[$cnf( $equal(multiply(add(X_513,Y),pixley(X_513,inverse(Y),n1)),add(X_513,inverse(inverse(Y)))) )],[refute_0_4417,refute_0_4423]) ).
cnf(refute_0_4425,plain,
multiply(add(multiply(inverse(X_517),X_312),X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(multiply(inverse(X_517),X_312),X_517),
inference(subst,[],[refute_0_4424:[bind(Y,$fot(X_517)),bind(X_513,$fot(multiply(inverse(X_517),X_312)))]]) ).
cnf(refute_0_4426,plain,
add(multiply(inverse(X_517),X_312),X_517) = add(X_312,X_517),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_517))]]) ).
cnf(refute_0_4427,plain,
( multiply(add(multiply(inverse(X_517),X_312),X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != add(multiply(inverse(X_517),X_312),X_517)
| add(multiply(inverse(X_517),X_312),X_517) != add(X_312,X_517)
| multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(multiply(inverse(X_517),X_312),X_517) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(inverse(X_517),X_312),X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(multiply(inverse(X_517),X_312),X_517)) ),[0,0],$fot(add(X_312,X_517))]]) ).
cnf(refute_0_4428,plain,
( multiply(add(multiply(inverse(X_517),X_312),X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != add(multiply(inverse(X_517),X_312),X_517)
| multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(multiply(inverse(X_517),X_312),X_517) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_517),X_312),X_517),add(X_312,X_517)) )],[refute_0_4426,refute_0_4427]) ).
cnf(refute_0_4429,plain,
multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(multiply(inverse(X_517),X_312),X_517),
inference(resolve,[$cnf( $equal(multiply(add(multiply(inverse(X_517),X_312),X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(multiply(inverse(X_517),X_312),X_517)) )],[refute_0_4425,refute_0_4428]) ).
cnf(refute_0_4430,plain,
( multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != add(multiply(inverse(X_517),X_312),X_517)
| add(multiply(inverse(X_517),X_312),X_517) != add(X_312,X_517)
| multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(X_312,X_517) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(X_312,X_517)) ),[0],$fot(add(multiply(inverse(X_517),X_312),X_517))]]) ).
cnf(refute_0_4431,plain,
( multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != add(multiply(inverse(X_517),X_312),X_517)
| multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(X_312,X_517) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_517),X_312),X_517),add(X_312,X_517)) )],[refute_0_4426,refute_0_4430]) ).
cnf(refute_0_4432,plain,
multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = add(X_312,X_517),
inference(resolve,[$cnf( $equal(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(multiply(inverse(X_517),X_312),X_517)) )],[refute_0_4429,refute_0_4431]) ).
cnf(refute_0_4433,plain,
multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) = add(X_553,X_554),
inference(subst,[],[refute_0_4432:[bind(X_312,$fot(X_553)),bind(X_517,$fot(X_554))]]) ).
cnf(refute_0_4434,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) != add(X_553,X_554)
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) ),[0,1,0],$fot(add(X_553,X_554))]]) ).
cnf(refute_0_4435,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),add(X_553,X_554)) )],[refute_0_4433,refute_0_4434]) ).
cnf(refute_0_4436,plain,
multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) )],[refute_0_4399,refute_0_4435]) ).
cnf(refute_0_4437,plain,
multiply(add(multiply(Y,X),multiply(Z,X)),add(multiply(Z,X),multiply(Z,X))) = add(multiply(Z,X),multiply(Z,X)),
inference(subst,[],[refute_0_1093:[bind(X_166,$fot(multiply(Y,X))),bind(X_167,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_4438,plain,
( multiply(add(multiply(Y,X),multiply(Z,X)),add(multiply(Z,X),multiply(Z,X))) != add(multiply(Z,X),multiply(Z,X))
| add(multiply(Y,X),multiply(Z,X)) != multiply(X,add(Y,Z))
| multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = add(multiply(Z,X),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(Y,X),multiply(Z,X)),add(multiply(Z,X),multiply(Z,X))),add(multiply(Z,X),multiply(Z,X))) ),[0,0],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_4439,plain,
( multiply(add(multiply(Y,X),multiply(Z,X)),add(multiply(Z,X),multiply(Z,X))) != add(multiply(Z,X),multiply(Z,X))
| multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = add(multiply(Z,X),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Z,X)),multiply(X,add(Y,Z))) )],[refute_0_4,refute_0_4438]) ).
cnf(refute_0_4440,plain,
multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = add(multiply(Z,X),multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(Y,X),multiply(Z,X)),add(multiply(Z,X),multiply(Z,X))),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_4437,refute_0_4439]) ).
cnf(refute_0_4441,plain,
add(multiply(Z,X),multiply(Z,X)) = multiply(X,add(Z,Z)),
inference(subst,[],[refute_0_4:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_4442,plain,
multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))),
introduced(tautology,[refl,[$fot(multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))))]]) ).
cnf(refute_0_4443,plain,
( multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) != multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X)))
| add(multiply(Z,X),multiply(Z,X)) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))),multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X)))) ),[1,1],$fot(multiply(X,add(Z,Z)))]]) ).
cnf(refute_0_4444,plain,
( add(multiply(Z,X),multiply(Z,X)) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))),multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X)))) )],[refute_0_4442,refute_0_4443]) ).
cnf(refute_0_4445,plain,
multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) = multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),
inference(resolve,[$cnf( $equal(add(multiply(Z,X),multiply(Z,X)),multiply(X,add(Z,Z))) )],[refute_0_4441,refute_0_4444]) ).
cnf(refute_0_4446,plain,
( multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) != multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z)))
| multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) != add(multiply(Z,X),multiply(Z,X))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = add(multiply(Z,X),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))),add(multiply(Z,X),multiply(Z,X))) ),[0],$fot(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))))]]) ).
cnf(refute_0_4447,plain,
( multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) != add(multiply(Z,X),multiply(Z,X))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = add(multiply(Z,X),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))),multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z)))) )],[refute_0_4445,refute_0_4446]) ).
cnf(refute_0_4448,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != add(multiply(Z,X),multiply(Z,X))
| add(multiply(Z,X),multiply(Z,X)) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(X,add(Z,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),multiply(X,add(Z,Z))) ),[0],$fot(add(multiply(Z,X),multiply(Z,X)))]]) ).
cnf(refute_0_4449,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != add(multiply(Z,X),multiply(Z,X))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(X,add(Z,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(Z,X),multiply(Z,X)),multiply(X,add(Z,Z))) )],[refute_0_4441,refute_0_4448]) ).
cnf(refute_0_4450,plain,
( multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))) != add(multiply(Z,X),multiply(Z,X))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(X,add(Z,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_4447,refute_0_4449]) ).
cnf(refute_0_4451,plain,
multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(X,add(Z,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),add(multiply(Z,X),multiply(Z,X))),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_4440,refute_0_4450]) ).
cnf(refute_0_4452,plain,
multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),
introduced(tautology,[refl,[$fot(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))))]]) ).
cnf(refute_0_4453,plain,
( multiply(X,add(Z,Z)) != multiply(X,Z)
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z)))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(multiply(X,add(Y,Z)),multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z)))) ),[1,1],$fot(multiply(X,Z))]]) ).
cnf(refute_0_4454,plain,
( multiply(X,add(Z,Z)) != multiply(X,Z)
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(multiply(X,add(Y,Z)),multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z)))) )],[refute_0_4452,refute_0_4453]) ).
cnf(refute_0_4455,plain,
multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) = multiply(multiply(X,add(Y,Z)),multiply(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(X,Z)) )],[refute_0_1540,refute_0_4454]) ).
cnf(refute_0_4456,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != multiply(multiply(X,add(Y,Z)),multiply(X,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(X,add(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),multiply(X,add(Z,Z))) ),[0],$fot(multiply(multiply(X,add(Y,Z)),multiply(X,Z)))]]) ).
cnf(refute_0_4457,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(X,add(Z,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),multiply(multiply(X,add(Y,Z)),multiply(X,Z))) )],[refute_0_4455,refute_0_4456]) ).
cnf(refute_0_4458,plain,
( multiply(X,add(Z,Z)) != multiply(X,Z)
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,Z)),multiply(X,add(Z,Z))) ),[1],$fot(multiply(X,Z))]]) ).
cnf(refute_0_4459,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,Z)) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),multiply(X,Z)) )],[refute_0_1540,refute_0_4458]) ).
cnf(refute_0_4460,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))) != multiply(X,add(Z,Z))
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,Z)),multiply(X,add(Z,Z))) )],[refute_0_4457,refute_0_4459]) ).
cnf(refute_0_4461,plain,
multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(X,Z),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,add(Z,Z))),multiply(X,add(Z,Z))) )],[refute_0_4451,refute_0_4460]) ).
cnf(refute_0_4462,plain,
multiply(multiply(X,add(Y,Z)),multiply(X,Z)) = multiply(multiply(X,Z),multiply(X,add(Y,Z))),
inference(subst,[],[refute_0_1545:[bind(X,$fot(multiply(X,Z))),bind(Z,$fot(multiply(X,add(Y,Z))))]]) ).
cnf(refute_0_4463,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,Z)) != multiply(X,Z)
| multiply(multiply(X,add(Y,Z)),multiply(X,Z)) != multiply(multiply(X,Z),multiply(X,add(Y,Z)))
| multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,Z)),multiply(X,Z)) ),[0],$fot(multiply(multiply(X,Z),multiply(X,add(Y,Z))))]]) ).
cnf(refute_0_4464,plain,
( multiply(multiply(X,add(Y,Z)),multiply(X,Z)) != multiply(X,Z)
| multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,Z)),multiply(multiply(X,Z),multiply(X,add(Y,Z)))) )],[refute_0_4462,refute_0_4463]) ).
cnf(refute_0_4465,plain,
multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(X,Z),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(X,Z)),multiply(X,Z)) )],[refute_0_4461,refute_0_4464]) ).
cnf(refute_0_4466,plain,
multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))) = multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),
inference(subst,[],[refute_0_4465:[bind(X,$fot(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))),bind(Y,$fot(add(X_553,X_554))),bind(Z,$fot(X_278))]]) ).
cnf(refute_0_4467,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(add(X_312,X_517))),bind(Z,$fot(X_590)),bind(X_262,$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))]]) ).
cnf(refute_0_4468,plain,
( multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != add(X_312,X_517)
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) != add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590),add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))) ),[1,0],$fot(add(X_312,X_517))]]) ).
cnf(refute_0_4469,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) != add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(X_312,X_517)) )],[refute_0_4432,refute_0_4468]) ).
cnf(refute_0_4470,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))),
inference(resolve,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590),add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))) )],[refute_0_4467,refute_0_4469]) ).
cnf(refute_0_4471,plain,
( multiply(add(Y,X_407),add(Y,Z)) != add(Y,multiply(Z,add(Y,X_407)))
| add(Y,multiply(Z,add(Y,X_407))) = multiply(add(Y,X_407),add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(Y,X_407),add(Y,Z)))),bind(Y0,$fot(add(Y,multiply(Z,add(Y,X_407)))))]]) ).
cnf(refute_0_4472,plain,
add(Y,multiply(Z,add(Y,X_407))) = multiply(add(Y,X_407),add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_407),add(Y,Z)),add(Y,multiply(Z,add(Y,X_407)))) )],[refute_0_3277,refute_0_4471]) ).
cnf(refute_0_4473,plain,
add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) = multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)),
inference(subst,[],[refute_0_4472:[bind(Y,$fot(add(X_312,X_517))),bind(Z,$fot(X_590)),bind(X_407,$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))]]) ).
cnf(refute_0_4474,plain,
( add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) != multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) != add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590),add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))) ),[1],$fot(multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)))]]) ).
cnf(refute_0_4475,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) != add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) ),
inference(resolve,[$cnf( $equal(add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))),multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))) )],[refute_0_4473,refute_0_4474]) ).
cnf(refute_0_4476,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)),
inference(resolve,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590),add(add(X_312,X_517),multiply(X_590,add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))) )],[refute_0_4470,refute_0_4475]) ).
cnf(refute_0_4477,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) = add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))),
inference(subst,[],[refute_0_2229:[bind(X_589,$fot(add(X_312,X_517))),bind(X_591,$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))]]) ).
cnf(refute_0_4478,plain,
( multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != add(X_312,X_517)
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) != add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) = add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1),add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) ),[1,0],$fot(add(X_312,X_517))]]) ).
cnf(refute_0_4479,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) != add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) = add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(X_312,X_517)) )],[refute_0_4432,refute_0_4478]) ).
cnf(refute_0_4480,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) = add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))),
inference(resolve,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1),add(multiply(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) )],[refute_0_4477,refute_0_4479]) ).
cnf(refute_0_4481,plain,
pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1) = pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),
inference(subst,[],[refute_0_3200:[bind(Y,$fot(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))),bind(X_334,$fot(add(X_553,X_554)))]]) ).
cnf(refute_0_4482,plain,
( multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) != add(X_553,X_554)
| pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1) != pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)
| pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1) = pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),[0,0],$fot(add(X_553,X_554))]]) ).
cnf(refute_0_4483,plain,
( pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1) != pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)
| pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1) = pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),add(X_553,X_554)) )],[refute_0_4433,refute_0_4482]) ).
cnf(refute_0_4484,plain,
pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1) = pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_553,X_554),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),n1),pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) )],[refute_0_4481,refute_0_4483]) ).
cnf(refute_0_4485,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) = pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),
inference(subst,[],[refute_0_4484:[bind(X_553,$fot(X_312)),bind(X_554,$fot(X_517))]]) ).
cnf(refute_0_4486,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) != add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) != pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)
| pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) = add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1),add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) ),[0],$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))]]) ).
cnf(refute_0_4487,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) != add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) = add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) ),
inference(resolve,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) )],[refute_0_4485,refute_0_4486]) ).
cnf(refute_0_4488,plain,
add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) = add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(add(X_312,X_517))),bind(X_412,$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))]]) ).
cnf(refute_0_4489,plain,
( add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) != add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))
| pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) != add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) = add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) ),[1],$fot(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))]]) ).
cnf(refute_0_4490,plain,
( pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) != add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) = add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) ),
inference(resolve,[$cnf( $equal(add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) )],[refute_0_4488,refute_0_4489]) ).
cnf(refute_0_4491,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1) != add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))
| pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) = add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) )],[refute_0_4487,refute_0_4490]) ).
cnf(refute_0_4492,plain,
pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) = add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),
inference(resolve,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),n1),add(add(X_312,X_517),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)))) )],[refute_0_4480,refute_0_4491]) ).
cnf(refute_0_4493,plain,
( pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) != add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))
| add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))),bind(Y0,$fot(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))))]]) ).
cnf(refute_0_4494,plain,
add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) = pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))) )],[refute_0_4492,refute_0_4493]) ).
cnf(refute_0_4495,plain,
multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) = multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)),
introduced(tautology,[refl,[$fot(multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)))]]) ).
cnf(refute_0_4496,plain,
( multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) != multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))
| add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)
| multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) = multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)),multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))) ),[1,0],$fot(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1))]]) ).
cnf(refute_0_4497,plain,
( add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) != pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)
| multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) = multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)),multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))) )],[refute_0_4495,refute_0_4496]) ).
cnf(refute_0_4498,plain,
multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) = multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)),
inference(resolve,[$cnf( $equal(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)) )],[refute_0_4494,refute_0_4497]) ).
cnf(refute_0_4499,plain,
( multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)) != multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) != multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590),multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))) ),[1],$fot(multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)))]]) ).
cnf(refute_0_4500,plain,
( pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) != multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))
| pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590)),multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590))) )],[refute_0_4498,refute_0_4499]) ).
cnf(refute_0_4501,plain,
pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590) = multiply(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1),add(add(X_312,X_517),X_590)),
inference(resolve,[$cnf( $equal(pixley(add(X_312,X_517),inverse(pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),X_590),multiply(add(add(X_312,X_517),pixley(multiply(inverse(X_517),X_312),inverse(X_517),n1)),add(add(X_312,X_517),X_590))) )],[refute_0_4476,refute_0_4500]) ).
cnf(refute_0_4502,plain,
pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278) = multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278)),
inference(subst,[],[refute_0_4501:[bind(X_312,$fot(X_553)),bind(X_517,$fot(X_554)),bind(X_590,$fot(X_278))]]) ).
cnf(refute_0_4503,plain,
multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),
introduced(tautology,[refl,[$fot(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)))]]) ).
cnf(refute_0_4504,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278))
| pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278) != multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278))) ),[1,1],$fot(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278)))]]) ).
cnf(refute_0_4505,plain,
( pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278) != multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278))) )],[refute_0_4503,refute_0_4504]) ).
cnf(refute_0_4506,plain,
multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))),
inference(resolve,[$cnf( $equal(pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))) )],[refute_0_4502,refute_0_4505]) ).
cnf(refute_0_4507,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))) != multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278)))
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)))),bind(Y0,$fot(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))))),bind(Z0,$fot(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)))]]) ).
cnf(refute_0_4508,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))) != multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) ),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278)))) )],[refute_0_4506,refute_0_4507]) ).
cnf(refute_0_4509,plain,
multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) = multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),add(add(X_553,X_554),X_278))),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)) )],[refute_0_4466,refute_0_4508]) ).
cnf(refute_0_4510,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)
| multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) ),[0],$fot(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278))]]) ).
cnf(refute_0_4511,plain,
( multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)) )],[refute_0_4509,refute_0_4510]) ).
cnf(refute_0_4512,plain,
multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),pixley(add(X_553,X_554),inverse(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),X_278)),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) )],[refute_0_4436,refute_0_4511]) ).
cnf(refute_0_4513,plain,
pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) = pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),
inference(subst,[],[refute_0_4315:[bind(X,$fot(X_554)),bind(Z,$fot(n1)),bind(X_612,$fot(X_553))]]) ).
cnf(refute_0_4514,plain,
multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),
introduced(tautology,[refl,[$fot(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278))]]) ).
cnf(refute_0_4515,plain,
( multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) != multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)
| pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) != pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)
| multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)) ),[1,0],$fot(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))]]) ).
cnf(refute_0_4516,plain,
( pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) != pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)
| multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278)) )],[refute_0_4514,refute_0_4515]) ).
cnf(refute_0_4517,plain,
multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) = multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) )],[refute_0_4513,refute_0_4516]) ).
cnf(refute_0_4518,plain,
( multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) != multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278)
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) ),[0],$fot(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278))]]) ).
cnf(refute_0_4519,plain,
( multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278)) )],[refute_0_4517,refute_0_4518]) ).
cnf(refute_0_4520,plain,
multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) = multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),
introduced(tautology,[refl,[$fot(multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)))]]) ).
cnf(refute_0_4521,plain,
( multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) != pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)
| multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) ),[1,1],$fot(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))]]) ).
cnf(refute_0_4522,plain,
( pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1) != pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)
| multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) )],[refute_0_4520,refute_0_4521]) ).
cnf(refute_0_4523,plain,
multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) )],[refute_0_4513,refute_0_4522]) ).
cnf(refute_0_4524,plain,
( multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) ),[1],$fot(multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)))]]) ).
cnf(refute_0_4525,plain,
( multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1)),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) )],[refute_0_4523,refute_0_4524]) ).
cnf(refute_0_4526,plain,
( multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278) != multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) )],[refute_0_4519,refute_0_4525]) ).
cnf(refute_0_4527,plain,
multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1),X_278),multiply(X_278,pixley(multiply(inverse(X_554),X_553),inverse(X_554),n1))) )],[refute_0_4512,refute_0_4526]) ).
cnf(refute_0_4528,plain,
multiply(n1,add(X_553,X_554)) = add(X_553,X_554),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X_553,X_554)))]]) ).
cnf(refute_0_4529,plain,
pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) = multiply(n1,add(X_553,X_554)),
inference(subst,[],[refute_0_4370:[bind(X_312,$fot(X_553)),bind(X_590,$fot(n1)),bind(X_591,$fot(X_554))]]) ).
cnf(refute_0_4530,plain,
( multiply(n1,add(X_553,X_554)) != add(X_553,X_554)
| pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) != multiply(n1,add(X_553,X_554))
| pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) = add(X_553,X_554) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))),bind(Y0,$fot(multiply(n1,add(X_553,X_554)))),bind(Z0,$fot(add(X_553,X_554)))]]) ).
cnf(refute_0_4531,plain,
( multiply(n1,add(X_553,X_554)) != add(X_553,X_554)
| pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) = add(X_553,X_554) ),
inference(resolve,[$cnf( $equal(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),multiply(n1,add(X_553,X_554))) )],[refute_0_4529,refute_0_4530]) ).
cnf(refute_0_4532,plain,
pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) = add(X_553,X_554),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_553,X_554)),add(X_553,X_554)) )],[refute_0_4528,refute_0_4531]) ).
cnf(refute_0_4533,plain,
multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),
introduced(tautology,[refl,[$fot(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278))]]) ).
cnf(refute_0_4534,plain,
( multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278)
| pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) != add(X_553,X_554)
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(add(X_553,X_554),X_278) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278)) ),[1,0],$fot(add(X_553,X_554))]]) ).
cnf(refute_0_4535,plain,
( pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) != add(X_553,X_554)
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(add(X_553,X_554),X_278) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278)) )],[refute_0_4533,refute_0_4534]) ).
cnf(refute_0_4536,plain,
multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) = multiply(add(X_553,X_554),X_278),
inference(resolve,[$cnf( $equal(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),add(X_553,X_554)) )],[refute_0_4532,refute_0_4535]) ).
cnf(refute_0_4537,plain,
( multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(add(X_553,X_554),X_278)
| multiply(add(X_553,X_554),X_278) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) ),[0],$fot(multiply(add(X_553,X_554),X_278))]]) ).
cnf(refute_0_4538,plain,
( multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| multiply(add(X_553,X_554),X_278) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(add(X_553,X_554),X_278)) )],[refute_0_4536,refute_0_4537]) ).
cnf(refute_0_4539,plain,
multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) = multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)),
introduced(tautology,[refl,[$fot(multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)))]]) ).
cnf(refute_0_4540,plain,
( multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) != add(X_553,X_554)
| multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) = multiply(X_278,add(X_553,X_554)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) ),[1,1],$fot(add(X_553,X_554))]]) ).
cnf(refute_0_4541,plain,
( pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1) != add(X_553,X_554)
| multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) = multiply(X_278,add(X_553,X_554)) ),
inference(resolve,[$cnf( $equal(multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) )],[refute_0_4539,refute_0_4540]) ).
cnf(refute_0_4542,plain,
multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) = multiply(X_278,add(X_553,X_554)),
inference(resolve,[$cnf( $equal(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),add(X_553,X_554)) )],[refute_0_4532,refute_0_4541]) ).
cnf(refute_0_4543,plain,
( multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)) != multiply(X_278,add(X_553,X_554))
| multiply(add(X_553,X_554),X_278) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| multiply(add(X_553,X_554),X_278) = multiply(X_278,add(X_553,X_554)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_553,X_554),X_278),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) ),[1],$fot(multiply(X_278,add(X_553,X_554)))]]) ).
cnf(refute_0_4544,plain,
( multiply(add(X_553,X_554),X_278) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| multiply(add(X_553,X_554),X_278) = multiply(X_278,add(X_553,X_554)) ),
inference(resolve,[$cnf( $equal(multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1)),multiply(X_278,add(X_553,X_554))) )],[refute_0_4542,refute_0_4543]) ).
cnf(refute_0_4545,plain,
( multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278) != multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))
| multiply(add(X_553,X_554),X_278) = multiply(X_278,add(X_553,X_554)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_553,X_554),X_278),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) )],[refute_0_4538,refute_0_4544]) ).
cnf(refute_0_4546,plain,
multiply(add(X_553,X_554),X_278) = multiply(X_278,add(X_553,X_554)),
inference(resolve,[$cnf( $equal(multiply(pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1),X_278),multiply(X_278,pixley(X_554,inverse(multiply(inverse(X_554),X_553)),n1))) )],[refute_0_4527,refute_0_4545]) ).
cnf(refute_0_4547,plain,
multiply(add(X_1037,X_1038),n1) = multiply(n1,add(X_1037,X_1038)),
inference(subst,[],[refute_0_4546:[bind(X_278,$fot(n1)),bind(X_553,$fot(X_1037)),bind(X_554,$fot(X_1038))]]) ).
cnf(refute_0_4548,plain,
( multiply(add(X_1037,X_1038),n1) != multiply(n1,add(X_1037,X_1038))
| multiply(n1,add(X_1037,X_1038)) != add(X_1037,X_1038)
| multiply(add(X_1037,X_1038),n1) = add(X_1037,X_1038) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_1037,X_1038),n1))),bind(Y0,$fot(multiply(n1,add(X_1037,X_1038)))),bind(Z0,$fot(add(X_1037,X_1038)))]]) ).
cnf(refute_0_4549,plain,
( multiply(n1,add(X_1037,X_1038)) != add(X_1037,X_1038)
| multiply(add(X_1037,X_1038),n1) = add(X_1037,X_1038) ),
inference(resolve,[$cnf( $equal(multiply(add(X_1037,X_1038),n1),multiply(n1,add(X_1037,X_1038))) )],[refute_0_4547,refute_0_4548]) ).
cnf(refute_0_4550,plain,
multiply(add(X_1037,X_1038),n1) = add(X_1037,X_1038),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_1037,X_1038)),add(X_1037,X_1038)) )],[refute_0_4398,refute_0_4549]) ).
cnf(refute_0_4551,plain,
add(n1,multiply(X_1037,inverse(X_1038))) = n1,
inference(subst,[],[refute_0_2630:[bind(X_211,$fot(multiply(X_1037,inverse(X_1038))))]]) ).
cnf(refute_0_4552,plain,
multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),
introduced(tautology,[refl,[$fot(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))))]]) ).
cnf(refute_0_4553,plain,
( multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) != multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))
| add(n1,multiply(X_1037,inverse(X_1038))) != n1
| multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = multiply(add(X_1037,X_1038),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_4554,plain,
( add(n1,multiply(X_1037,inverse(X_1038))) != n1
| multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = multiply(add(X_1037,X_1038),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))) )],[refute_0_4552,refute_0_4553]) ).
cnf(refute_0_4555,plain,
multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = multiply(add(X_1037,X_1038),n1),
inference(resolve,[$cnf( $equal(add(n1,multiply(X_1037,inverse(X_1038))),n1) )],[refute_0_4551,refute_0_4554]) ).
cnf(refute_0_4556,plain,
( multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) != multiply(add(X_1037,X_1038),n1)
| multiply(add(X_1037,X_1038),n1) != add(X_1037,X_1038)
| multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = add(X_1037,X_1038) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))))),bind(Y0,$fot(multiply(add(X_1037,X_1038),n1))),bind(Z0,$fot(add(X_1037,X_1038)))]]) ).
cnf(refute_0_4557,plain,
( multiply(add(X_1037,X_1038),n1) != add(X_1037,X_1038)
| multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = add(X_1037,X_1038) ),
inference(resolve,[$cnf( $equal(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),multiply(add(X_1037,X_1038),n1)) )],[refute_0_4555,refute_0_4556]) ).
cnf(refute_0_4558,plain,
multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) = add(X_1037,X_1038),
inference(resolve,[$cnf( $equal(multiply(add(X_1037,X_1038),n1),add(X_1037,X_1038)) )],[refute_0_4550,refute_0_4557]) ).
cnf(refute_0_4559,plain,
multiply(inverse(inverse(Y)),add(X_788,X_787)) = multiply(inverse(inverse(Y)),add(X_787,X_788)),
inference(subst,[],[refute_0_3559:[bind(X_774,$fot(inverse(Y))),bind(X_775,$fot(X_787)),bind(X_776,$fot(X_788))]]) ).
cnf(refute_0_4560,plain,
( multiply(inverse(inverse(Y)),add(X_788,X_787)) != multiply(inverse(inverse(Y)),add(X_787,X_788))
| inverse(inverse(Y)) != Y
| multiply(Y,add(X_788,X_787)) = multiply(inverse(inverse(Y)),add(X_787,X_788)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),add(X_788,X_787)),multiply(inverse(inverse(Y)),add(X_787,X_788))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_4561,plain,
( multiply(inverse(inverse(Y)),add(X_788,X_787)) != multiply(inverse(inverse(Y)),add(X_787,X_788))
| multiply(Y,add(X_788,X_787)) = multiply(inverse(inverse(Y)),add(X_787,X_788)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4560]) ).
cnf(refute_0_4562,plain,
multiply(Y,add(X_788,X_787)) = multiply(inverse(inverse(Y)),add(X_787,X_788)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),add(X_788,X_787)),multiply(inverse(inverse(Y)),add(X_787,X_788))) )],[refute_0_4559,refute_0_4561]) ).
cnf(refute_0_4563,plain,
multiply(inverse(inverse(Y)),add(X_787,X_788)) = multiply(inverse(inverse(Y)),add(X_787,X_788)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(Y)),add(X_787,X_788)))]]) ).
cnf(refute_0_4564,plain,
( multiply(inverse(inverse(Y)),add(X_787,X_788)) != multiply(inverse(inverse(Y)),add(X_787,X_788))
| inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),add(X_787,X_788)) = multiply(Y,add(X_787,X_788)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(Y)),add(X_787,X_788)),multiply(inverse(inverse(Y)),add(X_787,X_788))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_4565,plain,
( inverse(inverse(Y)) != Y
| multiply(inverse(inverse(Y)),add(X_787,X_788)) = multiply(Y,add(X_787,X_788)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),add(X_787,X_788)),multiply(inverse(inverse(Y)),add(X_787,X_788))) )],[refute_0_4563,refute_0_4564]) ).
cnf(refute_0_4566,plain,
multiply(inverse(inverse(Y)),add(X_787,X_788)) = multiply(Y,add(X_787,X_788)),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4565]) ).
cnf(refute_0_4567,plain,
( multiply(Y,add(X_788,X_787)) != multiply(inverse(inverse(Y)),add(X_787,X_788))
| multiply(inverse(inverse(Y)),add(X_787,X_788)) != multiply(Y,add(X_787,X_788))
| multiply(Y,add(X_788,X_787)) = multiply(Y,add(X_787,X_788)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,add(X_788,X_787)),multiply(Y,add(X_787,X_788))) ),[0],$fot(multiply(inverse(inverse(Y)),add(X_787,X_788)))]]) ).
cnf(refute_0_4568,plain,
( multiply(Y,add(X_788,X_787)) != multiply(inverse(inverse(Y)),add(X_787,X_788))
| multiply(Y,add(X_788,X_787)) = multiply(Y,add(X_787,X_788)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(Y)),add(X_787,X_788)),multiply(Y,add(X_787,X_788))) )],[refute_0_4566,refute_0_4567]) ).
cnf(refute_0_4569,plain,
multiply(Y,add(X_788,X_787)) = multiply(Y,add(X_787,X_788)),
inference(resolve,[$cnf( $equal(multiply(Y,add(X_788,X_787)),multiply(inverse(inverse(Y)),add(X_787,X_788))) )],[refute_0_4562,refute_0_4568]) ).
cnf(refute_0_4570,plain,
( multiply(Y,add(X_788,X_787)) != multiply(Y,add(X_787,X_788))
| multiply(Y,add(X_787,X_788)) = multiply(Y,add(X_788,X_787)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,add(X_788,X_787)))),bind(Y0,$fot(multiply(Y,add(X_787,X_788))))]]) ).
cnf(refute_0_4571,plain,
multiply(Y,add(X_787,X_788)) = multiply(Y,add(X_788,X_787)),
inference(resolve,[$cnf( $equal(multiply(Y,add(X_788,X_787)),multiply(Y,add(X_787,X_788))) )],[refute_0_4569,refute_0_4570]) ).
cnf(refute_0_4572,plain,
multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1)) = multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),
inference(subst,[],[refute_0_4571:[bind(Y,$fot(add(X_1037,X_1038))),bind(X_787,$fot(multiply(X_1037,inverse(X_1038)))),bind(X_788,$fot(n1))]]) ).
cnf(refute_0_4573,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(add(X_1038,X_1037))),bind(X_262,$fot(multiply(X_1037,inverse(X_1038))))]]) ).
cnf(refute_0_4574,plain,
( add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != add(X_1037,X_1038)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) != add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z),add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))))) ),[1,1,1],$fot(add(X_1037,X_1038))]]) ).
cnf(refute_0_4575,plain,
( pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) != add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) ),
inference(resolve,[$cnf( $equal(add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),add(X_1037,X_1038)) )],[refute_0_4105,refute_0_4574]) ).
cnf(refute_0_4576,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z),add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038)))))) )],[refute_0_4573,refute_0_4575]) ).
cnf(refute_0_4577,plain,
multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(multiply(X_312,inverse(X_424)),add(X_312,X_424)))),
inference(subst,[],[refute_0_3277:[bind(Y,$fot(multiply(X_312,inverse(X_424)))),bind(Z,$fot(X_599)),bind(X_407,$fot(add(X_312,X_424)))]]) ).
cnf(refute_0_4578,plain,
( multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) != add(multiply(X_312,inverse(X_424)),multiply(X_599,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))
| add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(X_312,X_424)
| multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),add(multiply(X_312,inverse(X_424)),multiply(X_599,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))) ),[1,1,1],$fot(add(X_312,X_424))]]) ).
cnf(refute_0_4579,plain,
( multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) != add(multiply(X_312,inverse(X_424)),multiply(X_599,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))
| multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(X_312,X_424)) )],[refute_0_3899,refute_0_4578]) ).
cnf(refute_0_4580,plain,
multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),add(multiply(X_312,inverse(X_424)),multiply(X_599,add(multiply(X_312,inverse(X_424)),add(X_312,X_424))))) )],[refute_0_4577,refute_0_4579]) ).
cnf(refute_0_4581,plain,
multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),
introduced(tautology,[refl,[$fot(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)))]]) ).
cnf(refute_0_4582,plain,
( multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) != multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599))
| add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(X_312,X_424)
| multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599))) ),[1,0],$fot(add(X_312,X_424))]]) ).
cnf(refute_0_4583,plain,
( add(multiply(X_312,inverse(X_424)),add(X_312,X_424)) != add(X_312,X_424)
| multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599))) )],[refute_0_4581,refute_0_4582]) ).
cnf(refute_0_4584,plain,
multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(X_312,X_424)) )],[refute_0_3899,refute_0_4583]) ).
cnf(refute_0_4585,plain,
( multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) != multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599))
| multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) != add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))
| multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))) ),[0],$fot(multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)))]]) ).
cnf(refute_0_4586,plain,
( multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)) != add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))
| multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599))) )],[refute_0_4584,refute_0_4585]) ).
cnf(refute_0_4587,plain,
multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) = add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_312,inverse(X_424)),add(X_312,X_424)),add(multiply(X_312,inverse(X_424)),X_599)),add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))) )],[refute_0_4580,refute_0_4586]) ).
cnf(refute_0_4588,plain,
( multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) != add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))
| add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)))),bind(Y0,$fot(add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))))]]) ).
cnf(refute_0_4589,plain,
add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424))) = multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)),
inference(resolve,[$cnf( $equal(multiply(add(X_312,X_424),add(multiply(X_312,inverse(X_424)),X_599)),add(multiply(X_312,inverse(X_424)),multiply(X_599,add(X_312,X_424)))) )],[refute_0_4587,refute_0_4588]) ).
cnf(refute_0_4590,plain,
add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)),
inference(subst,[],[refute_0_4589:[bind(X_312,$fot(X_1037)),bind(X_424,$fot(X_1038)),bind(X_599,$fot(Z))]]) ).
cnf(refute_0_4591,plain,
add(X_417,Y) = add(Y,X_417),
inference(subst,[],[refute_0_3517:[bind(X_605,$fot(X_417))]]) ).
cnf(refute_0_4592,plain,
( multiply(add(X_417,Y),multiply(X_417,inverse(Y))) != multiply(X_417,inverse(Y))
| add(X_417,Y) != add(Y,X_417)
| multiply(add(Y,X_417),multiply(X_417,inverse(Y))) = multiply(X_417,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_417,Y),multiply(X_417,inverse(Y))),multiply(X_417,inverse(Y))) ),[0,0],$fot(add(Y,X_417))]]) ).
cnf(refute_0_4593,plain,
( multiply(add(X_417,Y),multiply(X_417,inverse(Y))) != multiply(X_417,inverse(Y))
| multiply(add(Y,X_417),multiply(X_417,inverse(Y))) = multiply(X_417,inverse(Y)) ),
inference(resolve,[$cnf( $equal(add(X_417,Y),add(Y,X_417)) )],[refute_0_4591,refute_0_4592]) ).
cnf(refute_0_4594,plain,
multiply(add(Y,X_417),multiply(X_417,inverse(Y))) = multiply(X_417,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(add(X_417,Y),multiply(X_417,inverse(Y))),multiply(X_417,inverse(Y))) )],[refute_0_3816,refute_0_4593]) ).
cnf(refute_0_4595,plain,
multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) = multiply(X_1037,inverse(X_1038)),
inference(subst,[],[refute_0_4594:[bind(Y,$fot(X_1038)),bind(X_417,$fot(X_1037))]]) ).
cnf(refute_0_4596,plain,
add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))),
introduced(tautology,[refl,[$fot(add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))))]]) ).
cnf(refute_0_4597,plain,
( multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != multiply(X_1037,inverse(X_1038))
| add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) != add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))
| add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))),add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))) ),[1,0],$fot(multiply(X_1037,inverse(X_1038)))]]) ).
cnf(refute_0_4598,plain,
( multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))) != multiply(X_1037,inverse(X_1038))
| add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))),add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))) )],[refute_0_4596,refute_0_4597]) ).
cnf(refute_0_4599,plain,
add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))),
inference(resolve,[$cnf( $equal(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(X_1037,inverse(X_1038))) )],[refute_0_4595,refute_0_4598]) ).
cnf(refute_0_4600,plain,
( add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))) != multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z))
| add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) != add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038)))
| add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))))),bind(Y0,$fot(add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))))),bind(Z0,$fot(multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z))))]]) ).
cnf(refute_0_4601,plain,
( add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))) != multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z))
| add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))),add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038)))) )],[refute_0_4599,refute_0_4600]) ).
cnf(refute_0_4602,plain,
add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)),
inference(resolve,[$cnf( $equal(add(multiply(X_1037,inverse(X_1038)),multiply(Z,add(X_1037,X_1038))),multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z))) )],[refute_0_4590,refute_0_4601]) ).
cnf(refute_0_4603,plain,
( add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))) != multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) != add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z),add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))) ),[1],$fot(multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)))]]) ).
cnf(refute_0_4604,plain,
( pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) != add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038))),multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z))) )],[refute_0_4602,refute_0_4603]) ).
cnf(refute_0_4605,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),Z)),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),Z),add(multiply(add(X_1038,X_1037),multiply(X_1037,inverse(X_1038))),multiply(Z,add(X_1037,X_1038)))) )],[refute_0_4576,refute_0_4604]) ).
cnf(refute_0_4606,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1)),
inference(subst,[],[refute_0_4605:[bind(Z,$fot(n1))]]) ).
cnf(refute_0_4607,plain,
( multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1)) != multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) != multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1))),bind(Y0,$fot(multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1)))),bind(Z0,$fot(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))))]]) ).
cnf(refute_0_4608,plain,
( multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1)) != multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1),multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1))) )],[refute_0_4606,refute_0_4607]) ).
cnf(refute_0_4609,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),
inference(resolve,[$cnf( $equal(multiply(add(X_1037,X_1038),add(multiply(X_1037,inverse(X_1038)),n1)),multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))) )],[refute_0_4572,refute_0_4608]) ).
cnf(refute_0_4610,plain,
( multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) != add(X_1037,X_1038)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) != multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = add(X_1037,X_1038) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1))),bind(Y0,$fot(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))))),bind(Z0,$fot(add(X_1037,X_1038)))]]) ).
cnf(refute_0_4611,plain,
( multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))) != add(X_1037,X_1038)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = add(X_1037,X_1038) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1),multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038))))) )],[refute_0_4609,refute_0_4610]) ).
cnf(refute_0_4612,plain,
pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) = add(X_1037,X_1038),
inference(resolve,[$cnf( $equal(multiply(add(X_1037,X_1038),add(n1,multiply(X_1037,inverse(X_1038)))),add(X_1037,X_1038)) )],[refute_0_4558,refute_0_4611]) ).
cnf(refute_0_4613,plain,
( add(X_1038,X_1037) != pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)
| pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1) != add(X_1037,X_1038)
| add(X_1038,X_1037) = add(X_1037,X_1038) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_1038,X_1037),add(X_1037,X_1038)) ),[0],$fot(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1))]]) ).
cnf(refute_0_4614,plain,
( add(X_1038,X_1037) != pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)
| add(X_1038,X_1037) = add(X_1037,X_1038) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1),add(X_1037,X_1038)) )],[refute_0_4612,refute_0_4613]) ).
cnf(refute_0_4615,plain,
add(X_1038,X_1037) = add(X_1037,X_1038),
inference(resolve,[$cnf( $equal(add(X_1038,X_1037),pixley(add(X_1038,X_1037),inverse(multiply(X_1037,inverse(X_1038))),n1)) )],[refute_0_4397,refute_0_4614]) ).
cnf(refute_0_4616,plain,
( add(X_1038,X_1037) != add(X_1037,X_1038)
| add(X_1037,X_1038) = add(X_1038,X_1037) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_1038,X_1037))),bind(Y0,$fot(add(X_1037,X_1038)))]]) ).
cnf(refute_0_4617,plain,
add(X_1037,X_1038) = add(X_1038,X_1037),
inference(resolve,[$cnf( $equal(add(X_1038,X_1037),add(X_1037,X_1038)) )],[refute_0_4615,refute_0_4616]) ).
cnf(refute_0_4618,plain,
add(add(X_1158,X_1159),inverse(n1)) = add(inverse(n1),add(X_1158,X_1159)),
inference(subst,[],[refute_0_4617:[bind(X_1037,$fot(add(X_1158,X_1159))),bind(X_1038,$fot(inverse(n1)))]]) ).
cnf(refute_0_4619,plain,
( add(add(X_1158,X_1159),inverse(n1)) != add(inverse(n1),add(X_1158,X_1159))
| add(inverse(n1),add(X_1158,X_1159)) != add(X_1158,X_1159)
| add(add(X_1158,X_1159),inverse(n1)) = add(X_1158,X_1159) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_1158,X_1159),inverse(n1)))),bind(Y0,$fot(add(inverse(n1),add(X_1158,X_1159)))),bind(Z0,$fot(add(X_1158,X_1159)))]]) ).
cnf(refute_0_4620,plain,
( add(inverse(n1),add(X_1158,X_1159)) != add(X_1158,X_1159)
| add(add(X_1158,X_1159),inverse(n1)) = add(X_1158,X_1159) ),
inference(resolve,[$cnf( $equal(add(add(X_1158,X_1159),inverse(n1)),add(inverse(n1),add(X_1158,X_1159))) )],[refute_0_4618,refute_0_4619]) ).
cnf(refute_0_4621,plain,
add(add(X_1158,X_1159),inverse(n1)) = add(X_1158,X_1159),
inference(resolve,[$cnf( $equal(add(inverse(n1),add(X_1158,X_1159)),add(X_1158,X_1159)) )],[refute_0_4071,refute_0_4620]) ).
cnf(refute_0_4622,plain,
( add(multiply(X_1157,X_1158),add(X_1158,X_1159)) != add(add(X_1158,X_1159),inverse(n1))
| add(add(X_1158,X_1159),inverse(n1)) != add(X_1158,X_1159)
| add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(X_1158,X_1159) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_1157,X_1158),add(X_1158,X_1159)),add(X_1158,X_1159)) ),[0],$fot(add(add(X_1158,X_1159),inverse(n1)))]]) ).
cnf(refute_0_4623,plain,
( add(multiply(X_1157,X_1158),add(X_1158,X_1159)) != add(add(X_1158,X_1159),inverse(n1))
| add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(X_1158,X_1159) ),
inference(resolve,[$cnf( $equal(add(add(X_1158,X_1159),inverse(n1)),add(X_1158,X_1159)) )],[refute_0_4621,refute_0_4622]) ).
cnf(refute_0_4624,plain,
add(multiply(X_1157,X_1158),add(X_1158,X_1159)) = add(X_1158,X_1159),
inference(resolve,[$cnf( $equal(add(multiply(X_1157,X_1158),add(X_1158,X_1159)),add(add(X_1158,X_1159),inverse(n1))) )],[refute_0_4070,refute_0_4623]) ).
cnf(refute_0_4625,plain,
add(multiply(X_593,X_592),add(X_592,X_593)) = add(X_592,X_593),
inference(subst,[],[refute_0_4624:[bind(X_1157,$fot(X_593)),bind(X_1158,$fot(X_592)),bind(X_1159,$fot(X_593))]]) ).
cnf(refute_0_4626,plain,
( add(multiply(X_593,X_592),add(X_592,X_593)) != add(X_592,X_593)
| pixley(X_592,inverse(X_593),n1) != add(multiply(X_593,X_592),add(X_592,X_593))
| pixley(X_592,inverse(X_593),n1) = add(X_592,X_593) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_592,inverse(X_593),n1),add(multiply(X_593,X_592),add(X_592,X_593))) ),[1],$fot(add(X_592,X_593))]]) ).
cnf(refute_0_4627,plain,
( pixley(X_592,inverse(X_593),n1) != add(multiply(X_593,X_592),add(X_592,X_593))
| pixley(X_592,inverse(X_593),n1) = add(X_592,X_593) ),
inference(resolve,[$cnf( $equal(add(multiply(X_593,X_592),add(X_592,X_593)),add(X_592,X_593)) )],[refute_0_4625,refute_0_4626]) ).
cnf(refute_0_4628,plain,
pixley(X_592,inverse(X_593),n1) = add(X_592,X_593),
inference(resolve,[$cnf( $equal(pixley(X_592,inverse(X_593),n1),add(multiply(X_593,X_592),add(X_592,X_593))) )],[refute_0_2281,refute_0_4627]) ).
cnf(refute_0_4629,plain,
pixley(X_1133,inverse(multiply(X_804,X_281)),n1) = add(X_1133,multiply(X_804,X_281)),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(X_1133)),bind(X_593,$fot(multiply(X_804,X_281)))]]) ).
cnf(refute_0_4630,plain,
( pixley(X_1133,inverse(multiply(X_804,X_281)),n1) != add(X_1133,multiply(X_804,X_281))
| pixley(X_1133,inverse(multiply(X_804,X_281)),n1) != pixley(X_1133,inverse(multiply(X_281,X_804)),n1)
| add(X_1133,multiply(X_804,X_281)) = pixley(X_1133,inverse(multiply(X_281,X_804)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_804,X_281)),n1),pixley(X_1133,inverse(multiply(X_281,X_804)),n1)) ),[0],$fot(add(X_1133,multiply(X_804,X_281)))]]) ).
cnf(refute_0_4631,plain,
( pixley(X_1133,inverse(multiply(X_804,X_281)),n1) != pixley(X_1133,inverse(multiply(X_281,X_804)),n1)
| add(X_1133,multiply(X_804,X_281)) = pixley(X_1133,inverse(multiply(X_281,X_804)),n1) ),
inference(resolve,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_804,X_281)),n1),add(X_1133,multiply(X_804,X_281))) )],[refute_0_4629,refute_0_4630]) ).
cnf(refute_0_4632,plain,
pixley(X_1133,inverse(multiply(X_281,X_804)),n1) = add(X_1133,multiply(X_281,X_804)),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(X_1133)),bind(X_593,$fot(multiply(X_281,X_804)))]]) ).
cnf(refute_0_4633,plain,
( add(X_1133,multiply(X_804,X_281)) != pixley(X_1133,inverse(multiply(X_281,X_804)),n1)
| pixley(X_1133,inverse(multiply(X_281,X_804)),n1) != add(X_1133,multiply(X_281,X_804))
| add(X_1133,multiply(X_804,X_281)) = add(X_1133,multiply(X_281,X_804)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_1133,multiply(X_804,X_281)),add(X_1133,multiply(X_281,X_804))) ),[0],$fot(pixley(X_1133,inverse(multiply(X_281,X_804)),n1))]]) ).
cnf(refute_0_4634,plain,
( add(X_1133,multiply(X_804,X_281)) != pixley(X_1133,inverse(multiply(X_281,X_804)),n1)
| add(X_1133,multiply(X_804,X_281)) = add(X_1133,multiply(X_281,X_804)) ),
inference(resolve,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_281,X_804)),n1),add(X_1133,multiply(X_281,X_804))) )],[refute_0_4632,refute_0_4633]) ).
cnf(refute_0_4635,plain,
( pixley(X_1133,inverse(multiply(X_804,X_281)),n1) != pixley(X_1133,inverse(multiply(X_281,X_804)),n1)
| add(X_1133,multiply(X_804,X_281)) = add(X_1133,multiply(X_281,X_804)) ),
inference(resolve,[$cnf( $equal(add(X_1133,multiply(X_804,X_281)),pixley(X_1133,inverse(multiply(X_281,X_804)),n1)) )],[refute_0_4631,refute_0_4634]) ).
cnf(refute_0_4636,plain,
add(X_1133,multiply(X_804,X_281)) = add(X_1133,multiply(X_281,X_804)),
inference(resolve,[$cnf( $equal(pixley(X_1133,inverse(multiply(X_804,X_281)),n1),pixley(X_1133,inverse(multiply(X_281,X_804)),n1)) )],[refute_0_3664,refute_0_4635]) ).
cnf(refute_0_4637,plain,
( add(X_1133,multiply(X_804,X_281)) != add(X_1133,multiply(X_281,X_804))
| add(X_1133,multiply(X_281,X_804)) = add(X_1133,multiply(X_804,X_281)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_1133,multiply(X_804,X_281)))),bind(Y0,$fot(add(X_1133,multiply(X_281,X_804))))]]) ).
cnf(refute_0_4638,plain,
add(X_1133,multiply(X_281,X_804)) = add(X_1133,multiply(X_804,X_281)),
inference(resolve,[$cnf( $equal(add(X_1133,multiply(X_804,X_281)),add(X_1133,multiply(X_281,X_804))) )],[refute_0_4636,refute_0_4637]) ).
cnf(refute_0_4639,plain,
add(a,multiply(c,b)) = add(a,multiply(b,c)),
inference(subst,[],[refute_0_4638:[bind(X_1133,$fot(a)),bind(X_281,$fot(c)),bind(X_804,$fot(b))]]) ).
cnf(refute_0_4640,plain,
add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379))),
inference(subst,[],[refute_0_3718:[bind(X_312,$fot(add(multiply(X_1380,inverse(inverse(X_605))),X_1379)))]]) ).
cnf(refute_0_4641,plain,
multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = add(multiply(X_1359,multiply(X_966,inverse(X_1359))),multiply(X_1361,X_1359)),
inference(subst,[],[refute_0_3293:[bind(X,$fot(X_1359)),bind(Y,$fot(multiply(X_966,inverse(X_1359)))),bind(Z,$fot(X_1361))]]) ).
cnf(refute_0_4642,plain,
multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y))),
inference(subst,[],[refute_0_3982:[bind(Y,$fot(X_783)),bind(X_780,$fot(X_784)),bind(X_782,$fot(multiply(inverse(add(X_783,X_784)),Y)))]]) ).
cnf(refute_0_4643,plain,
inverse(add(X_783,X_784)) = add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)),
inference(subst,[],[refute_0_4127:[bind(X_605,$fot(inverse(add(X_783,X_784))))]]) ).
cnf(refute_0_4644,plain,
( inverse(add(X_783,X_784)) != add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y))
| add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)) = inverse(add(X_783,X_784)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_783,X_784)))),bind(Y0,$fot(add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y))))]]) ).
cnf(refute_0_4645,plain,
add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)) = inverse(add(X_783,X_784)),
inference(resolve,[$cnf( $equal(inverse(add(X_783,X_784)),add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y))) )],[refute_0_4643,refute_0_4644]) ).
cnf(refute_0_4646,plain,
( multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) != multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)))
| add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)) != inverse(add(X_783,X_784))
| multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = multiply(X_783,inverse(add(X_783,X_784))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)),multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)))) ),[1,1],$fot(inverse(add(X_783,X_784)))]]) ).
cnf(refute_0_4647,plain,
( multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) != multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)))
| multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = multiply(X_783,inverse(add(X_783,X_784))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)),inverse(add(X_783,X_784))) )],[refute_0_4645,refute_0_4646]) ).
cnf(refute_0_4648,plain,
multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = multiply(X_783,inverse(add(X_783,X_784))),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)),multiply(X_783,add(inverse(add(X_783,X_784)),multiply(inverse(add(X_783,X_784)),Y)))) )],[refute_0_4642,refute_0_4647]) ).
cnf(refute_0_4649,plain,
multiply(X_783,inverse(add(X_783,X_784))) = inverse(n1),
inference(subst,[],[refute_0_3956:[bind(X_661,$fot(X_784)),bind(X_662,$fot(X_783))]]) ).
cnf(refute_0_4650,plain,
( multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) != multiply(X_783,inverse(add(X_783,X_784)))
| multiply(X_783,inverse(add(X_783,X_784))) != inverse(n1)
| multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)),inverse(n1)) ),[0],$fot(multiply(X_783,inverse(add(X_783,X_784))))]]) ).
cnf(refute_0_4651,plain,
( multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) != multiply(X_783,inverse(add(X_783,X_784)))
| multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X_783,inverse(add(X_783,X_784))),inverse(n1)) )],[refute_0_4649,refute_0_4650]) ).
cnf(refute_0_4652,plain,
multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_783,multiply(inverse(add(X_783,X_784)),Y)),multiply(X_783,inverse(add(X_783,X_784)))) )],[refute_0_4648,refute_0_4651]) ).
cnf(refute_0_4653,plain,
multiply(X_921,multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1)))) = inverse(n1),
inference(subst,[],[refute_0_4652:[bind(Y,$fot(inverse(pixley(X_921,X_514,n1)))),bind(X_783,$fot(X_921)),bind(X_784,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4654,plain,
multiply(X_12,pixley(pixley(X_513,X_514,n1),multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),X_12)) = X_12,
inference(subst,[],[refute_0_3125:[bind(X_10,$fot(pixley(X_513,X_514,n1))),bind(X_379,$fot(add(X_513,inverse(X_514))))]]) ).
cnf(refute_0_4655,plain,
multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)) = add(X_513,inverse(X_514)),
inference(subst,[],[refute_0_4413:[bind(X_10,$fot(X_513)),bind(X_11,$fot(X_514))]]) ).
cnf(refute_0_4656,plain,
( multiply(X_12,pixley(pixley(X_513,X_514,n1),multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),X_12)) != X_12
| multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)) != add(X_513,inverse(X_514))
| multiply(X_12,pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,pixley(pixley(X_513,X_514,n1),multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),X_12)),X_12) ),[0,1,1],$fot(add(X_513,inverse(X_514)))]]) ).
cnf(refute_0_4657,plain,
( multiply(X_12,pixley(pixley(X_513,X_514,n1),multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),X_12)) != X_12
| multiply(X_12,pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),add(X_513,inverse(X_514))) )],[refute_0_4655,refute_0_4656]) ).
cnf(refute_0_4658,plain,
multiply(X_12,pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_12,pixley(pixley(X_513,X_514,n1),multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),X_12)),X_12) )],[refute_0_4654,refute_0_4657]) ).
cnf(refute_0_4659,plain,
multiply(inverse(pixley(X_513,X_514,n1)),pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)))) = inverse(pixley(X_513,X_514,n1)),
inference(subst,[],[refute_0_4658:[bind(X_12,$fot(inverse(pixley(X_513,X_514,n1))))]]) ).
cnf(refute_0_4660,plain,
pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1))) = inverse(add(X_513,inverse(X_514))),
inference(subst,[],[refute_0_3575:[bind(Y,$fot(add(X_513,inverse(X_514)))),bind(X_796,$fot(pixley(X_513,X_514,n1)))]]) ).
cnf(refute_0_4661,plain,
( multiply(inverse(pixley(X_513,X_514,n1)),pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)))) != inverse(pixley(X_513,X_514,n1))
| pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1))) != inverse(add(X_513,inverse(X_514)))
| multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) = inverse(pixley(X_513,X_514,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(pixley(X_513,X_514,n1)),pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)))),inverse(pixley(X_513,X_514,n1))) ),[0,1],$fot(inverse(add(X_513,inverse(X_514))))]]) ).
cnf(refute_0_4662,plain,
( multiply(inverse(pixley(X_513,X_514,n1)),pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)))) != inverse(pixley(X_513,X_514,n1))
| multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) = inverse(pixley(X_513,X_514,n1)) ),
inference(resolve,[$cnf( $equal(pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1))),inverse(add(X_513,inverse(X_514)))) )],[refute_0_4660,refute_0_4661]) ).
cnf(refute_0_4663,plain,
multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) = inverse(pixley(X_513,X_514,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(pixley(X_513,X_514,n1)),pixley(pixley(X_513,X_514,n1),add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)))),inverse(pixley(X_513,X_514,n1))) )],[refute_0_4659,refute_0_4662]) ).
cnf(refute_0_4664,plain,
multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) = multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1))),
inference(subst,[],[refute_0_3913:[bind(X_570,$fot(add(X_513,inverse(X_514)))),bind(X_571,$fot(inverse(pixley(X_513,X_514,n1))))]]) ).
cnf(refute_0_4665,plain,
( multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) != multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1)))
| multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) != inverse(pixley(X_513,X_514,n1))
| multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1))) = inverse(pixley(X_513,X_514,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))),inverse(pixley(X_513,X_514,n1))) ),[0],$fot(multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1))))]]) ).
cnf(refute_0_4666,plain,
( multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))) != inverse(pixley(X_513,X_514,n1))
| multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1))) = inverse(pixley(X_513,X_514,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))),multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1)))) )],[refute_0_4664,refute_0_4665]) ).
cnf(refute_0_4667,plain,
multiply(inverse(add(X_513,inverse(X_514))),inverse(pixley(X_513,X_514,n1))) = inverse(pixley(X_513,X_514,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(pixley(X_513,X_514,n1)),inverse(add(X_513,inverse(X_514)))),inverse(pixley(X_513,X_514,n1))) )],[refute_0_4663,refute_0_4666]) ).
cnf(refute_0_4668,plain,
multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1))) = inverse(pixley(X_921,X_514,n1)),
inference(subst,[],[refute_0_4667:[bind(X_513,$fot(X_921))]]) ).
cnf(refute_0_4669,plain,
( multiply(X_921,multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1)))) != inverse(n1)
| multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1))) != inverse(pixley(X_921,X_514,n1))
| multiply(X_921,inverse(pixley(X_921,X_514,n1))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_921,multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1)))),inverse(n1)) ),[0,1],$fot(inverse(pixley(X_921,X_514,n1)))]]) ).
cnf(refute_0_4670,plain,
( multiply(X_921,multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1)))) != inverse(n1)
| multiply(X_921,inverse(pixley(X_921,X_514,n1))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1))),inverse(pixley(X_921,X_514,n1))) )],[refute_0_4668,refute_0_4669]) ).
cnf(refute_0_4671,plain,
multiply(X_921,inverse(pixley(X_921,X_514,n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_921,multiply(inverse(add(X_921,inverse(X_514))),inverse(pixley(X_921,X_514,n1)))),inverse(n1)) )],[refute_0_4653,refute_0_4670]) ).
cnf(refute_0_4672,plain,
multiply(X_921,inverse(pixley(X_921,multiply(X_966,inverse(X_921)),n1))) = inverse(n1),
inference(subst,[],[refute_0_4671:[bind(X_514,$fot(multiply(X_966,inverse(X_921))))]]) ).
cnf(refute_0_4673,plain,
pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = add(multiply(X_589,inverse(multiply(inverse(X_589),X_802))),add(X_589,inverse(multiply(inverse(X_589),X_802)))),
inference(subst,[],[refute_0_2229:[bind(X_591,$fot(inverse(multiply(inverse(X_589),X_802))))]]) ).
cnf(refute_0_4674,plain,
multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),
inference(subst,[],[refute_0_80:[bind(X_11,$fot(multiply(X_10,X_381)))]]) ).
cnf(refute_0_4675,plain,
n1 = add(multiply(X_379,X_281),inverse(multiply(X_379,multiply(X_379,X_281)))),
inference(subst,[],[refute_0_3097:[bind(Y,$fot(multiply(X_379,X_281))),bind(X_377,$fot(X_379))]]) ).
cnf(refute_0_4676,plain,
multiply(X_379,multiply(X_379,X_281)) = multiply(X_281,X_379),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_379))]]) ).
cnf(refute_0_4677,plain,
( multiply(X_379,multiply(X_379,X_281)) != multiply(X_281,X_379)
| n1 != add(multiply(X_379,X_281),inverse(multiply(X_379,multiply(X_379,X_281))))
| n1 = add(multiply(X_379,X_281),inverse(multiply(X_281,X_379))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(multiply(X_379,X_281),inverse(multiply(X_379,multiply(X_379,X_281))))) ),[1,1,0],$fot(multiply(X_281,X_379))]]) ).
cnf(refute_0_4678,plain,
( n1 != add(multiply(X_379,X_281),inverse(multiply(X_379,multiply(X_379,X_281))))
| n1 = add(multiply(X_379,X_281),inverse(multiply(X_281,X_379))) ),
inference(resolve,[$cnf( $equal(multiply(X_379,multiply(X_379,X_281)),multiply(X_281,X_379)) )],[refute_0_4676,refute_0_4677]) ).
cnf(refute_0_4679,plain,
n1 = add(multiply(X_379,X_281),inverse(multiply(X_281,X_379))),
inference(resolve,[$cnf( $equal(n1,add(multiply(X_379,X_281),inverse(multiply(X_379,multiply(X_379,X_281))))) )],[refute_0_4675,refute_0_4678]) ).
cnf(refute_0_4680,plain,
add(multiply(X_315,multiply(X_315,X_281)),inverse(multiply(X_315,X_281))) = add(X_315,inverse(multiply(X_315,X_281))),
inference(subst,[],[refute_0_3805:[bind(X_281,$fot(X_315)),bind(X_311,$fot(multiply(X_315,X_281)))]]) ).
cnf(refute_0_4681,plain,
multiply(X_315,multiply(X_315,X_281)) = multiply(X_281,X_315),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_315))]]) ).
cnf(refute_0_4682,plain,
( multiply(X_315,multiply(X_315,X_281)) != multiply(X_281,X_315)
| add(multiply(X_315,multiply(X_315,X_281)),inverse(multiply(X_315,X_281))) != add(X_315,inverse(multiply(X_315,X_281)))
| add(multiply(X_281,X_315),inverse(multiply(X_315,X_281))) = add(X_315,inverse(multiply(X_315,X_281))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_315,multiply(X_315,X_281)),inverse(multiply(X_315,X_281))),add(X_315,inverse(multiply(X_315,X_281)))) ),[0,0],$fot(multiply(X_281,X_315))]]) ).
cnf(refute_0_4683,plain,
( add(multiply(X_315,multiply(X_315,X_281)),inverse(multiply(X_315,X_281))) != add(X_315,inverse(multiply(X_315,X_281)))
| add(multiply(X_281,X_315),inverse(multiply(X_315,X_281))) = add(X_315,inverse(multiply(X_315,X_281))) ),
inference(resolve,[$cnf( $equal(multiply(X_315,multiply(X_315,X_281)),multiply(X_281,X_315)) )],[refute_0_4681,refute_0_4682]) ).
cnf(refute_0_4684,plain,
add(multiply(X_281,X_315),inverse(multiply(X_315,X_281))) = add(X_315,inverse(multiply(X_315,X_281))),
inference(resolve,[$cnf( $equal(add(multiply(X_315,multiply(X_315,X_281)),inverse(multiply(X_315,X_281))),add(X_315,inverse(multiply(X_315,X_281)))) )],[refute_0_4680,refute_0_4683]) ).
cnf(refute_0_4685,plain,
add(multiply(X_379,X_281),inverse(multiply(X_281,X_379))) = add(X_281,inverse(multiply(X_281,X_379))),
inference(subst,[],[refute_0_4684:[bind(X_281,$fot(X_379)),bind(X_315,$fot(X_281))]]) ).
cnf(refute_0_4686,plain,
( add(multiply(X_379,X_281),inverse(multiply(X_281,X_379))) != add(X_281,inverse(multiply(X_281,X_379)))
| n1 != add(multiply(X_379,X_281),inverse(multiply(X_281,X_379)))
| n1 = add(X_281,inverse(multiply(X_281,X_379))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(multiply(X_379,X_281),inverse(multiply(X_281,X_379)))) ),[1],$fot(add(X_281,inverse(multiply(X_281,X_379))))]]) ).
cnf(refute_0_4687,plain,
( n1 != add(multiply(X_379,X_281),inverse(multiply(X_281,X_379)))
| n1 = add(X_281,inverse(multiply(X_281,X_379))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_379,X_281),inverse(multiply(X_281,X_379))),add(X_281,inverse(multiply(X_281,X_379)))) )],[refute_0_4685,refute_0_4686]) ).
cnf(refute_0_4688,plain,
n1 = add(X_281,inverse(multiply(X_281,X_379))),
inference(resolve,[$cnf( $equal(n1,add(multiply(X_379,X_281),inverse(multiply(X_281,X_379)))) )],[refute_0_4679,refute_0_4687]) ).
cnf(refute_0_4689,plain,
n1 = add(X_10,inverse(multiply(X_10,X_381))),
inference(subst,[],[refute_0_4688:[bind(X_281,$fot(X_10)),bind(X_379,$fot(X_381))]]) ).
cnf(refute_0_4690,plain,
( n1 != add(X_10,inverse(multiply(X_10,X_381)))
| add(X_10,inverse(multiply(X_10,X_381))) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(X_10,inverse(multiply(X_10,X_381)))))]]) ).
cnf(refute_0_4691,plain,
add(X_10,inverse(multiply(X_10,X_381))) = n1,
inference(resolve,[$cnf( $equal(n1,add(X_10,inverse(multiply(X_10,X_381)))) )],[refute_0_4689,refute_0_4690]) ).
cnf(refute_0_4692,plain,
( multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| add(X_10,inverse(multiply(X_10,X_381))) != n1
| multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_4693,plain,
( multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(X_10,X_381))),n1) )],[refute_0_4691,refute_0_4692]) ).
cnf(refute_0_4694,plain,
multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) )],[refute_0_4674,refute_0_4693]) ).
cnf(refute_0_4695,plain,
multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) = multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)))]]) ).
cnf(refute_0_4696,plain,
( multiply(X_12,n1) != X_12
| multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) != multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12))
| multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) = multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)),multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_4697,plain,
( multiply(X_12,n1) != X_12
| multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) = multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)),multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12))) )],[refute_0_4695,refute_0_4696]) ).
cnf(refute_0_4698,plain,
multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) = multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_12,n1),X_12) )],[refute_0_3104,refute_0_4697]) ).
cnf(refute_0_4699,plain,
multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)),
inference(subst,[],[refute_0_3032:[bind(X,$fot(multiply(X_12,n1))),bind(Y,$fot(pixley(X_10,multiply(X_10,X_381),X_12)))]]) ).
cnf(refute_0_4700,plain,
( multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) != multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12))
| multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) != multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12))
| multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)))),bind(Y0,$fot(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)))),bind(Z0,$fot(multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12))))]]) ).
cnf(refute_0_4701,plain,
( multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)) != multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12))
| multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)),multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12))) )],[refute_0_4699,refute_0_4700]) ).
cnf(refute_0_4702,plain,
multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) = multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),pixley(X_10,multiply(X_10,X_381),X_12)),multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12))) )],[refute_0_4698,refute_0_4701]) ).
cnf(refute_0_4703,plain,
( multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) != multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12))
| multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) ),[0],$fot(multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)))]]) ).
cnf(refute_0_4704,plain,
( multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)),multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12))) )],[refute_0_4702,refute_0_4703]) ).
cnf(refute_0_4705,plain,
multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))))]]) ).
cnf(refute_0_4706,plain,
( multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| add(X_10,inverse(multiply(X_10,X_381))) != n1
| multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_4707,plain,
( add(X_10,inverse(multiply(X_10,X_381))) != n1
| multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) )],[refute_0_4705,refute_0_4706]) ).
cnf(refute_0_4708,plain,
multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(X_10,X_381))),n1) )],[refute_0_4691,refute_0_4707]) ).
cnf(refute_0_4709,plain,
( multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) != multiply(X_12,n1)
| multiply(X_12,n1) != X_12
| multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = X_12 ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))))),bind(Y0,$fot(multiply(X_12,n1))),bind(Z0,$fot(X_12))]]) ).
cnf(refute_0_4710,plain,
( multiply(X_12,n1) != X_12
| multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),multiply(X_12,n1)) )],[refute_0_4708,refute_0_4709]) ).
cnf(refute_0_4711,plain,
multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_12,n1),X_12) )],[refute_0_3104,refute_0_4710]) ).
cnf(refute_0_4712,plain,
( multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))) != X_12
| multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) ),[1],$fot(X_12)]]) ).
cnf(refute_0_4713,plain,
( multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,inverse(multiply(X_10,X_381)))),X_12) )],[refute_0_4711,refute_0_4712]) ).
cnf(refute_0_4714,plain,
( multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)) != multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))
| multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) )],[refute_0_4704,refute_0_4713]) ).
cnf(refute_0_4715,plain,
multiply(X_12,pixley(X_10,multiply(X_10,X_381),X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(pixley(X_10,multiply(X_10,X_381),X_12),multiply(X_12,n1)),multiply(X_12,add(X_10,inverse(multiply(X_10,X_381))))) )],[refute_0_4694,refute_0_4714]) ).
cnf(refute_0_4716,plain,
multiply(X_12,pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12)) = X_12,
inference(subst,[],[refute_0_4715:[bind(X_10,$fot(inverse(X_12)))]]) ).
cnf(refute_0_4717,plain,
pixley(inverse(Y),X_797,inverse(inverse(Y))) = inverse(X_797),
inference(subst,[],[refute_0_3575:[bind(Y,$fot(X_797)),bind(X_796,$fot(inverse(Y)))]]) ).
cnf(refute_0_4718,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(Y),X_797,inverse(inverse(Y))) != inverse(X_797)
| pixley(inverse(Y),X_797,Y) = inverse(X_797) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),X_797,inverse(inverse(Y))),inverse(X_797)) ),[0,2],$fot(Y)]]) ).
cnf(refute_0_4719,plain,
( pixley(inverse(Y),X_797,inverse(inverse(Y))) != inverse(X_797)
| pixley(inverse(Y),X_797,Y) = inverse(X_797) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4718]) ).
cnf(refute_0_4720,plain,
pixley(inverse(Y),X_797,Y) = inverse(X_797),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),X_797,inverse(inverse(Y))),inverse(X_797)) )],[refute_0_4717,refute_0_4719]) ).
cnf(refute_0_4721,plain,
pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12) = inverse(multiply(inverse(X_12),X_381)),
inference(subst,[],[refute_0_4720:[bind(Y,$fot(X_12)),bind(X_797,$fot(multiply(inverse(X_12),X_381)))]]) ).
cnf(refute_0_4722,plain,
( multiply(X_12,pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12)) != X_12
| pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12) != inverse(multiply(inverse(X_12),X_381))
| multiply(X_12,inverse(multiply(inverse(X_12),X_381))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12)),X_12) ),[0,1],$fot(inverse(multiply(inverse(X_12),X_381)))]]) ).
cnf(refute_0_4723,plain,
( multiply(X_12,pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12)) != X_12
| multiply(X_12,inverse(multiply(inverse(X_12),X_381))) = X_12 ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12),inverse(multiply(inverse(X_12),X_381))) )],[refute_0_4721,refute_0_4722]) ).
cnf(refute_0_4724,plain,
multiply(X_12,inverse(multiply(inverse(X_12),X_381))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_12,pixley(inverse(X_12),multiply(inverse(X_12),X_381),X_12)),X_12) )],[refute_0_4716,refute_0_4723]) ).
cnf(refute_0_4725,plain,
multiply(X_589,inverse(multiply(inverse(X_589),X_802))) = X_589,
inference(subst,[],[refute_0_4724:[bind(X_12,$fot(X_589)),bind(X_381,$fot(X_802))]]) ).
cnf(refute_0_4726,plain,
( multiply(X_589,inverse(multiply(inverse(X_589),X_802))) != X_589
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != add(multiply(X_589,inverse(multiply(inverse(X_589),X_802))),add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),add(multiply(X_589,inverse(multiply(inverse(X_589),X_802))),add(X_589,inverse(multiply(inverse(X_589),X_802))))) ),[1,0],$fot(X_589)]]) ).
cnf(refute_0_4727,plain,
( pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != add(multiply(X_589,inverse(multiply(inverse(X_589),X_802))),add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))) ),
inference(resolve,[$cnf( $equal(multiply(X_589,inverse(multiply(inverse(X_589),X_802))),X_589) )],[refute_0_4725,refute_0_4726]) ).
cnf(refute_0_4728,plain,
pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),add(multiply(X_589,inverse(multiply(inverse(X_589),X_802))),add(X_589,inverse(multiply(inverse(X_589),X_802))))) )],[refute_0_4673,refute_0_4727]) ).
cnf(refute_0_4729,plain,
inverse(inverse(multiply(inverse(X_589),X_802))) = multiply(inverse(X_589),X_802),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(multiply(inverse(X_589),X_802)))]]) ).
cnf(refute_0_4730,plain,
pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),
introduced(tautology,[refl,[$fot(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1))]]) ).
cnf(refute_0_4731,plain,
( inverse(inverse(multiply(inverse(X_589),X_802))) != multiply(inverse(X_589),X_802)
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1)
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = pixley(X_589,multiply(inverse(X_589),X_802),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1)) ),[1,1],$fot(multiply(inverse(X_589),X_802))]]) ).
cnf(refute_0_4732,plain,
( inverse(inverse(multiply(inverse(X_589),X_802))) != multiply(inverse(X_589),X_802)
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = pixley(X_589,multiply(inverse(X_589),X_802),n1) ),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1)) )],[refute_0_4730,refute_0_4731]) ).
cnf(refute_0_4733,plain,
pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) = pixley(X_589,multiply(inverse(X_589),X_802),n1),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_589),X_802))),multiply(inverse(X_589),X_802)) )],[refute_0_4729,refute_0_4732]) ).
cnf(refute_0_4734,plain,
( pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != pixley(X_589,multiply(inverse(X_589),X_802),n1)
| pixley(X_589,multiply(inverse(X_589),X_802),n1) = add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))) ),[0],$fot(pixley(X_589,multiply(inverse(X_589),X_802),n1))]]) ).
cnf(refute_0_4735,plain,
( pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,multiply(inverse(X_589),X_802),n1) = add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))) ),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),pixley(X_589,multiply(inverse(X_589),X_802),n1)) )],[refute_0_4733,refute_0_4734]) ).
cnf(refute_0_4736,plain,
add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))) = add(X_589,inverse(multiply(inverse(X_589),X_802))),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(X_589)),bind(X_412,$fot(inverse(multiply(inverse(X_589),X_802))))]]) ).
cnf(refute_0_4737,plain,
( add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))) != add(X_589,inverse(multiply(inverse(X_589),X_802)))
| pixley(X_589,multiply(inverse(X_589),X_802),n1) != add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,multiply(inverse(X_589),X_802),n1) = add(X_589,inverse(multiply(inverse(X_589),X_802))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,multiply(inverse(X_589),X_802),n1),add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))) ),[1],$fot(add(X_589,inverse(multiply(inverse(X_589),X_802))))]]) ).
cnf(refute_0_4738,plain,
( pixley(X_589,multiply(inverse(X_589),X_802),n1) != add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,multiply(inverse(X_589),X_802),n1) = add(X_589,inverse(multiply(inverse(X_589),X_802))) ),
inference(resolve,[$cnf( $equal(add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802)))),add(X_589,inverse(multiply(inverse(X_589),X_802)))) )],[refute_0_4736,refute_0_4737]) ).
cnf(refute_0_4739,plain,
( pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1) != add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))
| pixley(X_589,multiply(inverse(X_589),X_802),n1) = add(X_589,inverse(multiply(inverse(X_589),X_802))) ),
inference(resolve,[$cnf( $equal(pixley(X_589,multiply(inverse(X_589),X_802),n1),add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))) )],[refute_0_4735,refute_0_4738]) ).
cnf(refute_0_4740,plain,
pixley(X_589,multiply(inverse(X_589),X_802),n1) = add(X_589,inverse(multiply(inverse(X_589),X_802))),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(inverse(multiply(inverse(X_589),X_802))),n1),add(X_589,add(X_589,inverse(multiply(inverse(X_589),X_802))))) )],[refute_0_4728,refute_0_4739]) ).
cnf(refute_0_4741,plain,
pixley(X_962,multiply(inverse(X_962),multiply(X_287,inverse(X_962))),n1) = add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))),
inference(subst,[],[refute_0_4740:[bind(X_589,$fot(X_962)),bind(X_802,$fot(multiply(X_287,inverse(X_962))))]]) ).
cnf(refute_0_4742,plain,
multiply(inverse(X_962),multiply(X_287,inverse(X_962))) = multiply(X_287,inverse(X_962)),
inference(subst,[],[refute_0_3317:[bind(X_280,$fot(inverse(X_962)))]]) ).
cnf(refute_0_4743,plain,
( multiply(inverse(X_962),multiply(X_287,inverse(X_962))) != multiply(X_287,inverse(X_962))
| pixley(X_962,multiply(inverse(X_962),multiply(X_287,inverse(X_962))),n1) != add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))
| pixley(X_962,multiply(X_287,inverse(X_962)),n1) = add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_962,multiply(inverse(X_962),multiply(X_287,inverse(X_962))),n1),add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))) ),[0,1],$fot(multiply(X_287,inverse(X_962)))]]) ).
cnf(refute_0_4744,plain,
( pixley(X_962,multiply(inverse(X_962),multiply(X_287,inverse(X_962))),n1) != add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))
| pixley(X_962,multiply(X_287,inverse(X_962)),n1) = add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_962),multiply(X_287,inverse(X_962))),multiply(X_287,inverse(X_962))) )],[refute_0_4742,refute_0_4743]) ).
cnf(refute_0_4745,plain,
pixley(X_962,multiply(X_287,inverse(X_962)),n1) = add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))),
inference(resolve,[$cnf( $equal(pixley(X_962,multiply(inverse(X_962),multiply(X_287,inverse(X_962))),n1),add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))) )],[refute_0_4741,refute_0_4744]) ).
cnf(refute_0_4746,plain,
inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) = inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))]]) ).
cnf(refute_0_4747,plain,
( multiply(inverse(X_962),multiply(X_287,inverse(X_962))) != multiply(X_287,inverse(X_962))
| inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) != inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))
| inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) = inverse(multiply(X_287,inverse(X_962))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))),inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) ),[1,0],$fot(multiply(X_287,inverse(X_962)))]]) ).
cnf(refute_0_4748,plain,
( multiply(inverse(X_962),multiply(X_287,inverse(X_962))) != multiply(X_287,inverse(X_962))
| inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) = inverse(multiply(X_287,inverse(X_962))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))),inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) )],[refute_0_4746,refute_0_4747]) ).
cnf(refute_0_4749,plain,
inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) = inverse(multiply(X_287,inverse(X_962))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_962),multiply(X_287,inverse(X_962))),multiply(X_287,inverse(X_962))) )],[refute_0_4742,refute_0_4748]) ).
cnf(refute_0_4750,plain,
pixley(X_839,multiply(inverse(X_839),X_963),n1) = pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1),
inference(subst,[],[refute_0_3640:[bind(Y,$fot(n1)),bind(X_838,$fot(multiply(inverse(X_839),X_963)))]]) ).
cnf(refute_0_4751,plain,
pixley(X_839,multiply(inverse(X_839),X_963),n1) = add(X_839,inverse(multiply(inverse(X_839),X_963))),
inference(subst,[],[refute_0_4740:[bind(X_589,$fot(X_839)),bind(X_802,$fot(X_963))]]) ).
cnf(refute_0_4752,plain,
( pixley(X_839,multiply(inverse(X_839),X_963),n1) != add(X_839,inverse(multiply(inverse(X_839),X_963)))
| pixley(X_839,multiply(inverse(X_839),X_963),n1) != pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)
| add(X_839,inverse(multiply(inverse(X_839),X_963))) = pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_839,multiply(inverse(X_839),X_963),n1),pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)) ),[0],$fot(add(X_839,inverse(multiply(inverse(X_839),X_963))))]]) ).
cnf(refute_0_4753,plain,
( pixley(X_839,multiply(inverse(X_839),X_963),n1) != pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)
| add(X_839,inverse(multiply(inverse(X_839),X_963))) = pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) ),
inference(resolve,[$cnf( $equal(pixley(X_839,multiply(inverse(X_839),X_963),n1),add(X_839,inverse(multiply(inverse(X_839),X_963)))) )],[refute_0_4751,refute_0_4752]) ).
cnf(refute_0_4754,plain,
add(X_839,inverse(multiply(inverse(X_839),X_963))) = pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1),
inference(resolve,[$cnf( $equal(pixley(X_839,multiply(inverse(X_839),X_963),n1),pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)) )],[refute_0_4750,refute_0_4753]) ).
cnf(refute_0_4755,plain,
pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),add(inverse(X_667),inverse(add(X_668,X_667)))) = pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1),
inference(subst,[],[refute_0_4081:[bind(X_589,$fot(inverse(X_667))),bind(X_591,$fot(inverse(add(X_668,X_667))))]]) ).
cnf(refute_0_4756,plain,
multiply(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),
inference(subst,[],[refute_0_4413:[bind(X_10,$fot(multiply(inverse(inverse(X_514)),X_312))),bind(X_11,$fot(X_514))]]) ).
cnf(refute_0_4757,plain,
add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) = add(X_312,inverse(X_514)),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4758,plain,
( multiply(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) != add(X_312,inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))) ),[0,0],$fot(add(X_312,inverse(X_514)))]]) ).
cnf(refute_0_4759,plain,
( multiply(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),add(X_312,inverse(X_514))) )],[refute_0_4757,refute_0_4758]) ).
cnf(refute_0_4760,plain,
multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),
inference(resolve,[$cnf( $equal(multiply(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))) )],[refute_0_4756,refute_0_4759]) ).
cnf(refute_0_4761,plain,
inverse(inverse(X_514)) = X_514,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_514))]]) ).
cnf(refute_0_4762,plain,
multiply(inverse(inverse(X_514)),X_312) = multiply(inverse(inverse(X_514)),X_312),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_514)),X_312))]]) ).
cnf(refute_0_4763,plain,
( multiply(inverse(inverse(X_514)),X_312) != multiply(inverse(inverse(X_514)),X_312)
| inverse(inverse(X_514)) != X_514
| multiply(inverse(inverse(X_514)),X_312) = multiply(X_514,X_312) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_514)),X_312),multiply(inverse(inverse(X_514)),X_312)) ),[1,0],$fot(X_514)]]) ).
cnf(refute_0_4764,plain,
( inverse(inverse(X_514)) != X_514
| multiply(inverse(inverse(X_514)),X_312) = multiply(X_514,X_312) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_514)),X_312),multiply(inverse(inverse(X_514)),X_312)) )],[refute_0_4762,refute_0_4763]) ).
cnf(refute_0_4765,plain,
multiply(inverse(inverse(X_514)),X_312) = multiply(X_514,X_312),
inference(resolve,[$cnf( $equal(inverse(inverse(X_514)),X_514) )],[refute_0_4761,refute_0_4764]) ).
cnf(refute_0_4766,plain,
pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) = pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1))]]) ).
cnf(refute_0_4767,plain,
( multiply(inverse(inverse(X_514)),X_312) != multiply(X_514,X_312)
| pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) != pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)
| pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) = pixley(multiply(X_514,X_312),X_514,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) ),[1,0],$fot(multiply(X_514,X_312))]]) ).
cnf(refute_0_4768,plain,
( multiply(inverse(inverse(X_514)),X_312) != multiply(X_514,X_312)
| pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) = pixley(multiply(X_514,X_312),X_514,n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) )],[refute_0_4766,refute_0_4767]) ).
cnf(refute_0_4769,plain,
pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) = pixley(multiply(X_514,X_312),X_514,n1),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_514)),X_312),multiply(X_514,X_312)) )],[refute_0_4765,refute_0_4768]) ).
cnf(refute_0_4770,plain,
multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),
introduced(tautology,[refl,[$fot(multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)))]]) ).
cnf(refute_0_4771,plain,
( multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1))
| pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) != pixley(multiply(X_514,X_312),X_514,n1)
| multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1))) ),[1,1],$fot(pixley(multiply(X_514,X_312),X_514,n1))]]) ).
cnf(refute_0_4772,plain,
( pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1) != pixley(multiply(X_514,X_312),X_514,n1)
| multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1))) )],[refute_0_4770,refute_0_4771]) ).
cnf(refute_0_4773,plain,
multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) = multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1),pixley(multiply(X_514,X_312),X_514,n1)) )],[refute_0_4769,refute_0_4772]) ).
cnf(refute_0_4774,plain,
( multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) = add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))) ),[0],$fot(multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)))]]) ).
cnf(refute_0_4775,plain,
( multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) = add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1))) )],[refute_0_4773,refute_0_4774]) ).
cnf(refute_0_4776,plain,
( multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)) != add(X_312,inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) = add(X_312,inverse(X_514)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)),add(X_312,inverse(X_514))) ),[0],$fot(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)))]]) ).
cnf(refute_0_4777,plain,
( multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) = add(X_312,inverse(X_514)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514)),add(X_312,inverse(X_514))) )],[refute_0_4757,refute_0_4776]) ).
cnf(refute_0_4778,plain,
( multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)) != add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))
| multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) = add(X_312,inverse(X_514)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)),add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))) )],[refute_0_4775,refute_0_4777]) ).
cnf(refute_0_4779,plain,
multiply(add(X_312,inverse(X_514)),pixley(multiply(X_514,X_312),X_514,n1)) = add(X_312,inverse(X_514)),
inference(resolve,[$cnf( $equal(multiply(add(X_312,inverse(X_514)),pixley(multiply(inverse(inverse(X_514)),X_312),X_514,n1)),add(multiply(inverse(inverse(X_514)),X_312),inverse(X_514))) )],[refute_0_4760,refute_0_4778]) ).
cnf(refute_0_4780,plain,
multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(multiply(X_514,inverse(add(X_661,X_514))),X_514,n1)) = add(inverse(add(X_661,X_514)),inverse(X_514)),
inference(subst,[],[refute_0_4779:[bind(X_312,$fot(inverse(add(X_661,X_514))))]]) ).
cnf(refute_0_4781,plain,
multiply(X_514,inverse(add(X_661,X_514))) = inverse(n1),
inference(subst,[],[refute_0_3923:[bind(X_659,$fot(X_661)),bind(X_660,$fot(X_514))]]) ).
cnf(refute_0_4782,plain,
( multiply(X_514,inverse(add(X_661,X_514))) != inverse(n1)
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(multiply(X_514,inverse(add(X_661,X_514))),X_514,n1)) != add(inverse(add(X_661,X_514)),inverse(X_514))
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = add(inverse(add(X_661,X_514)),inverse(X_514)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(multiply(X_514,inverse(add(X_661,X_514))),X_514,n1)),add(inverse(add(X_661,X_514)),inverse(X_514))) ),[0,1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_4783,plain,
( multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(multiply(X_514,inverse(add(X_661,X_514))),X_514,n1)) != add(inverse(add(X_661,X_514)),inverse(X_514))
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = add(inverse(add(X_661,X_514)),inverse(X_514)) ),
inference(resolve,[$cnf( $equal(multiply(X_514,inverse(add(X_661,X_514))),inverse(n1)) )],[refute_0_4781,refute_0_4782]) ).
cnf(refute_0_4784,plain,
multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = add(inverse(add(X_661,X_514)),inverse(X_514)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(multiply(X_514,inverse(add(X_661,X_514))),X_514,n1)),add(inverse(add(X_661,X_514)),inverse(X_514))) )],[refute_0_4780,refute_0_4783]) ).
cnf(refute_0_4785,plain,
multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))) = inverse(X_514),
inference(subst,[],[refute_0_2641:[bind(Z,$fot(inverse(add(X_661,X_514)))),bind(X_26,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4786,plain,
multiply(n1,inverse(X_514)) = inverse(X_514),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4787,plain,
multiply(inverse(X_514),n1) = multiply(n1,inverse(X_514)),
inference(subst,[],[refute_0_3915:[bind(X_570,$fot(X_514)),bind(X_571,$fot(n1))]]) ).
cnf(refute_0_4788,plain,
( multiply(inverse(X_514),n1) != multiply(n1,inverse(X_514))
| multiply(n1,inverse(X_514)) != inverse(X_514)
| multiply(inverse(X_514),n1) = inverse(X_514) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(X_514),n1))),bind(Y0,$fot(multiply(n1,inverse(X_514)))),bind(Z0,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4789,plain,
( multiply(n1,inverse(X_514)) != inverse(X_514)
| multiply(inverse(X_514),n1) = inverse(X_514) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_514),n1),multiply(n1,inverse(X_514))) )],[refute_0_4787,refute_0_4788]) ).
cnf(refute_0_4790,plain,
multiply(inverse(X_514),n1) = inverse(X_514),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_514)),inverse(X_514)) )],[refute_0_4786,refute_0_4789]) ).
cnf(refute_0_4791,plain,
pixley(inverse(n1),X_514,n1) = multiply(inverse(X_514),n1),
inference(subst,[],[refute_0_2170:[bind(Y,$fot(X_514)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_4792,plain,
( multiply(inverse(X_514),n1) != inverse(X_514)
| pixley(inverse(n1),X_514,n1) != multiply(inverse(X_514),n1)
| pixley(inverse(n1),X_514,n1) = inverse(X_514) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(n1),X_514,n1))),bind(Y0,$fot(multiply(inverse(X_514),n1))),bind(Z0,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4793,plain,
( multiply(inverse(X_514),n1) != inverse(X_514)
| pixley(inverse(n1),X_514,n1) = inverse(X_514) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_514,n1),multiply(inverse(X_514),n1)) )],[refute_0_4791,refute_0_4792]) ).
cnf(refute_0_4794,plain,
pixley(inverse(n1),X_514,n1) = inverse(X_514),
inference(resolve,[$cnf( $equal(multiply(inverse(X_514),n1),inverse(X_514)) )],[refute_0_4790,refute_0_4793]) ).
cnf(refute_0_4795,plain,
multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),
introduced(tautology,[refl,[$fot(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))))]]) ).
cnf(refute_0_4796,plain,
( multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) != multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))
| pixley(inverse(n1),X_514,n1) != inverse(X_514)
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))) ),[1,0],$fot(inverse(X_514))]]) ).
cnf(refute_0_4797,plain,
( pixley(inverse(n1),X_514,n1) != inverse(X_514)
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))) )],[refute_0_4795,refute_0_4796]) ).
cnf(refute_0_4798,plain,
multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),X_514,n1),inverse(X_514)) )],[refute_0_4794,refute_0_4797]) ).
cnf(refute_0_4799,plain,
( multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))) != inverse(X_514)
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) != multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514))))
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = inverse(X_514) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))))),bind(Y0,$fot(multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))))),bind(Z0,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4800,plain,
( multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))) != inverse(X_514)
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = inverse(X_514) ),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514))))) )],[refute_0_4798,refute_0_4799]) ).
cnf(refute_0_4801,plain,
multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) = inverse(X_514),
inference(resolve,[$cnf( $equal(multiply(inverse(X_514),add(inverse(X_514),inverse(add(X_661,X_514)))),inverse(X_514)) )],[refute_0_4785,refute_0_4800]) ).
cnf(refute_0_4802,plain,
pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) = multiply(X_658,add(X_659,X_660)),
inference(subst,[],[refute_0_3727:[bind(X_354,$fot(X_658)),bind(X_355,$fot(X_659)),bind(X_356,$fot(X_660))]]) ).
cnf(refute_0_4803,plain,
add(X_660,X_659) = add(X_659,X_660),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_659)),bind(X_605,$fot(X_660))]]) ).
cnf(refute_0_4804,plain,
( add(X_660,X_659) != add(X_659,X_660)
| add(X_659,X_660) = add(X_660,X_659) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_660,X_659))),bind(Y0,$fot(add(X_659,X_660)))]]) ).
cnf(refute_0_4805,plain,
add(X_659,X_660) = add(X_660,X_659),
inference(resolve,[$cnf( $equal(add(X_660,X_659),add(X_659,X_660)) )],[refute_0_4803,refute_0_4804]) ).
cnf(refute_0_4806,plain,
( add(X_659,X_660) != add(X_660,X_659)
| pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) != multiply(X_658,add(X_659,X_660))
| pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) = multiply(X_658,add(X_660,X_659)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1),multiply(X_658,add(X_659,X_660))) ),[1,1],$fot(add(X_660,X_659))]]) ).
cnf(refute_0_4807,plain,
( pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) != multiply(X_658,add(X_659,X_660))
| pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) = multiply(X_658,add(X_660,X_659)) ),
inference(resolve,[$cnf( $equal(add(X_659,X_660),add(X_660,X_659)) )],[refute_0_4805,refute_0_4806]) ).
cnf(refute_0_4808,plain,
pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) = multiply(X_658,add(X_660,X_659)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1),multiply(X_658,add(X_659,X_660))) )],[refute_0_4802,refute_0_4807]) ).
cnf(refute_0_4809,plain,
( pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) != multiply(X_658,add(X_659,X_660))
| pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) != multiply(X_658,add(X_660,X_659))
| multiply(X_658,add(X_659,X_660)) = multiply(X_658,add(X_660,X_659)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1),multiply(X_658,add(X_660,X_659))) ),[0],$fot(multiply(X_658,add(X_659,X_660)))]]) ).
cnf(refute_0_4810,plain,
( pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1) != multiply(X_658,add(X_660,X_659))
| multiply(X_658,add(X_659,X_660)) = multiply(X_658,add(X_660,X_659)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1),multiply(X_658,add(X_659,X_660))) )],[refute_0_4802,refute_0_4809]) ).
cnf(refute_0_4811,plain,
multiply(X_658,add(X_659,X_660)) = multiply(X_658,add(X_660,X_659)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_660,X_658),inverse(multiply(add(X_659,X_660),X_658)),n1),multiply(X_658,add(X_660,X_659))) )],[refute_0_4808,refute_0_4810]) ).
cnf(refute_0_4812,plain,
( multiply(X_658,add(X_659,X_660)) != multiply(X_658,add(X_660,X_659))
| multiply(X_658,add(X_660,X_659)) = multiply(X_658,add(X_659,X_660)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_658,add(X_659,X_660)))),bind(Y0,$fot(multiply(X_658,add(X_660,X_659))))]]) ).
cnf(refute_0_4813,plain,
multiply(X_658,add(X_660,X_659)) = multiply(X_658,add(X_659,X_660)),
inference(resolve,[$cnf( $equal(multiply(X_658,add(X_659,X_660)),multiply(X_658,add(X_660,X_659))) )],[refute_0_4811,refute_0_4812]) ).
cnf(refute_0_4814,plain,
multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514))) = multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),
inference(subst,[],[refute_0_4813:[bind(X_658,$fot(pixley(inverse(n1),X_514,n1))),bind(X_659,$fot(inverse(X_514))),bind(X_660,$fot(inverse(add(X_661,X_514))))]]) ).
cnf(refute_0_4815,plain,
multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(X_278,pixley(X_513,X_514,n1)),
inference(subst,[],[refute_0_2456:[bind(Y,$fot(pixley(X_513,X_514,n1))),bind(X_279,$fot(add(X_513,inverse(X_514))))]]) ).
cnf(refute_0_4816,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(X_278,pixley(X_513,X_514,n1))
| multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)) != add(X_513,inverse(X_514))
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(X_278,pixley(X_513,X_514,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(X_278,pixley(X_513,X_514,n1))) ),[0,1,0],$fot(add(X_513,inverse(X_514)))]]) ).
cnf(refute_0_4817,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(X_278,pixley(X_513,X_514,n1))
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(X_278,pixley(X_513,X_514,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),add(X_513,inverse(X_514))) )],[refute_0_4655,refute_0_4816]) ).
cnf(refute_0_4818,plain,
multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(X_278,pixley(X_513,X_514,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(X_278,pixley(X_513,X_514,n1))) )],[refute_0_4815,refute_0_4817]) ).
cnf(refute_0_4819,plain,
multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))) = multiply(pixley(X_513,X_514,n1),X_278),
inference(subst,[],[refute_0_4465:[bind(X,$fot(pixley(X_513,X_514,n1))),bind(Y,$fot(add(X_513,inverse(X_514)))),bind(Z,$fot(X_278))]]) ).
cnf(refute_0_4820,plain,
pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(add(X_525,inverse(X_526)))),bind(Z,$fot(X_590)),bind(X_262,$fot(pixley(X_525,X_526,n1)))]]) ).
cnf(refute_0_4821,plain,
multiply(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(add(X_525,inverse(X_526)))),bind(X_11,$fot(inverse(pixley(X_525,X_526,n1)))),bind(X_12,$fot(n1))]]) ).
cnf(refute_0_4822,plain,
pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),n1) = pixley(X_513,X_514,n1),
inference(subst,[],[refute_0_3200:[bind(Y,$fot(pixley(X_513,X_514,n1))),bind(X_334,$fot(add(X_513,inverse(X_514))))]]) ).
cnf(refute_0_4823,plain,
( multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)) != add(X_513,inverse(X_514))
| pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),n1) != pixley(X_513,X_514,n1)
| pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),n1) = pixley(X_513,X_514,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),n1),pixley(X_513,X_514,n1)) ),[0,0],$fot(add(X_513,inverse(X_514)))]]) ).
cnf(refute_0_4824,plain,
( pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),n1) != pixley(X_513,X_514,n1)
| pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),n1) = pixley(X_513,X_514,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),add(X_513,inverse(X_514))) )],[refute_0_4655,refute_0_4823]) ).
cnf(refute_0_4825,plain,
pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),n1) = pixley(X_513,X_514,n1),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),inverse(pixley(X_513,X_514,n1)),n1),pixley(X_513,X_514,n1)) )],[refute_0_4822,refute_0_4824]) ).
cnf(refute_0_4826,plain,
pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1) = pixley(X_525,X_526,n1),
inference(subst,[],[refute_0_4825:[bind(X_513,$fot(X_525)),bind(X_514,$fot(X_526))]]) ).
cnf(refute_0_4827,plain,
( multiply(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1) != pixley(X_525,X_526,n1)
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) ),[0,0],$fot(pixley(X_525,X_526,n1))]]) ).
cnf(refute_0_4828,plain,
( multiply(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) ),
inference(resolve,[$cnf( $equal(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1),pixley(X_525,X_526,n1)) )],[refute_0_4826,refute_0_4827]) ).
cnf(refute_0_4829,plain,
multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))),
inference(resolve,[$cnf( $equal(multiply(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) )],[refute_0_4821,refute_0_4828]) ).
cnf(refute_0_4830,plain,
multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) = pixley(X_525,X_526,n1),
inference(subst,[],[refute_0_1549:[bind(X,$fot(add(X_525,inverse(X_526)))),bind(Y,$fot(pixley(X_525,X_526,n1)))]]) ).
cnf(refute_0_4831,plain,
inverse(inverse(pixley(X_525,X_526,n1))) = pixley(X_525,X_526,n1),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(pixley(X_525,X_526,n1)))]]) ).
cnf(refute_0_4832,plain,
add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) = add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))),
introduced(tautology,[refl,[$fot(add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))]]) ).
cnf(refute_0_4833,plain,
( add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) != add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))
| inverse(inverse(pixley(X_525,X_526,n1))) != pixley(X_525,X_526,n1)
| add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))),add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) ),[1,1],$fot(pixley(X_525,X_526,n1))]]) ).
cnf(refute_0_4834,plain,
( inverse(inverse(pixley(X_525,X_526,n1))) != pixley(X_525,X_526,n1)
| add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
inference(resolve,[$cnf( $equal(add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))),add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) )],[refute_0_4832,refute_0_4833]) ).
cnf(refute_0_4835,plain,
add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),
inference(resolve,[$cnf( $equal(inverse(inverse(pixley(X_525,X_526,n1))),pixley(X_525,X_526,n1)) )],[refute_0_4831,refute_0_4834]) ).
cnf(refute_0_4836,plain,
multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) = add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))))]]) ).
cnf(refute_0_4837,plain,
( multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) != add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))
| add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) != add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))
| multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))))),bind(Y0,$fot(add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),bind(Z0,$fot(add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))]]) ).
cnf(refute_0_4838,plain,
( add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))) != add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))
| multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))),add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) )],[refute_0_4836,refute_0_4837]) ).
cnf(refute_0_4839,plain,
multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),
inference(resolve,[$cnf( $equal(add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) )],[refute_0_4835,refute_0_4838]) ).
cnf(refute_0_4840,plain,
multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),
introduced(tautology,[refl,[$fot(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))))]]) ).
cnf(refute_0_4841,plain,
( multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) != add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))))
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))))) ),[1,1],$fot(add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)))]]) ).
cnf(refute_0_4842,plain,
( multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) != add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))))) )],[refute_0_4840,refute_0_4841]) ).
cnf(refute_0_4843,plain,
multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) )],[refute_0_4839,refute_0_4842]) ).
cnf(refute_0_4844,plain,
( multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)))
| multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) != pixley(X_525,X_526,n1)
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = pixley(X_525,X_526,n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))))),bind(Y0,$fot(multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))),bind(Z0,$fot(pixley(X_525,X_526,n1)))]]) ).
cnf(refute_0_4845,plain,
( multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) != pixley(X_525,X_526,n1)
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = pixley(X_525,X_526,n1) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)))) )],[refute_0_4843,refute_0_4844]) ).
cnf(refute_0_4846,plain,
multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) = pixley(X_525,X_526,n1),
inference(resolve,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))),pixley(X_525,X_526,n1)) )],[refute_0_4830,refute_0_4845]) ).
cnf(refute_0_4847,plain,
( multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != pixley(X_525,X_526,n1)
| pixley(X_525,X_526,n1) = multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) ),[0],$fot(pixley(X_525,X_526,n1))]]) ).
cnf(refute_0_4848,plain,
( multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| pixley(X_525,X_526,n1) = multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),pixley(X_525,X_526,n1)) )],[refute_0_4846,refute_0_4847]) ).
cnf(refute_0_4849,plain,
( multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))) != add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))
| pixley(X_525,X_526,n1) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| pixley(X_525,X_526,n1) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) ),[1],$fot(add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)))]]) ).
cnf(refute_0_4850,plain,
( pixley(X_525,X_526,n1) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| pixley(X_525,X_526,n1) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1))))),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) )],[refute_0_4839,refute_0_4849]) ).
cnf(refute_0_4851,plain,
( multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) != multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))
| pixley(X_525,X_526,n1) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) ),
inference(resolve,[$cnf( $equal(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) )],[refute_0_4848,refute_0_4850]) ).
cnf(refute_0_4852,plain,
pixley(X_525,X_526,n1) = add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),
inference(resolve,[$cnf( $equal(multiply(pixley(X_525,X_526,n1),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))),multiply(n1,add(add(X_525,inverse(X_526)),inverse(inverse(pixley(X_525,X_526,n1)))))) )],[refute_0_4829,refute_0_4851]) ).
cnf(refute_0_4853,plain,
( pixley(X_525,X_526,n1) != add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))
| add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) = pixley(X_525,X_526,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_525,X_526,n1))),bind(Y0,$fot(add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))]]) ).
cnf(refute_0_4854,plain,
add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) = pixley(X_525,X_526,n1),
inference(resolve,[$cnf( $equal(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))) )],[refute_0_4852,refute_0_4853]) ).
cnf(refute_0_4855,plain,
( add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)) != pixley(X_525,X_526,n1)
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) != add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590),add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))) ),[1,1,1],$fot(pixley(X_525,X_526,n1))]]) ).
cnf(refute_0_4856,plain,
( pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) != add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1))) ),
inference(resolve,[$cnf( $equal(add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),pixley(X_525,X_526,n1)) )],[refute_0_4854,refute_0_4855]) ).
cnf(refute_0_4857,plain,
pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1))),
inference(resolve,[$cnf( $equal(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590),add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,add(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1))))) )],[refute_0_4820,refute_0_4856]) ).
cnf(refute_0_4858,plain,
add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1))) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590)),
inference(subst,[],[refute_0_4:[bind(X,$fot(pixley(X_525,X_526,n1))),bind(Y,$fot(add(X_525,inverse(X_526)))),bind(Z,$fot(X_590))]]) ).
cnf(refute_0_4859,plain,
( add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1))) != multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590))
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) != add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1)))
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590),add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1)))) ),[1],$fot(multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590)))]]) ).
cnf(refute_0_4860,plain,
( pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) != add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1)))
| pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1))),multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590))) )],[refute_0_4858,refute_0_4859]) ).
cnf(refute_0_4861,plain,
pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590) = multiply(pixley(X_525,X_526,n1),add(add(X_525,inverse(X_526)),X_590)),
inference(resolve,[$cnf( $equal(pixley(add(X_525,inverse(X_526)),inverse(pixley(X_525,X_526,n1)),X_590),add(multiply(add(X_525,inverse(X_526)),pixley(X_525,X_526,n1)),multiply(X_590,pixley(X_525,X_526,n1)))) )],[refute_0_4857,refute_0_4860]) ).
cnf(refute_0_4862,plain,
pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278) = multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278)),
inference(subst,[],[refute_0_4861:[bind(X_525,$fot(X_513)),bind(X_526,$fot(X_514)),bind(X_590,$fot(X_278))]]) ).
cnf(refute_0_4863,plain,
multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),
introduced(tautology,[refl,[$fot(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)))]]) ).
cnf(refute_0_4864,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278))
| pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278) != multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278))) ),[1,1],$fot(multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278)))]]) ).
cnf(refute_0_4865,plain,
( pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278) != multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278))) )],[refute_0_4863,refute_0_4864]) ).
cnf(refute_0_4866,plain,
multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))),
inference(resolve,[$cnf( $equal(pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))) )],[refute_0_4862,refute_0_4865]) ).
cnf(refute_0_4867,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))) != multiply(pixley(X_513,X_514,n1),X_278)
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278)))
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(pixley(X_513,X_514,n1),X_278) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)))),bind(Y0,$fot(multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))))),bind(Z0,$fot(multiply(pixley(X_513,X_514,n1),X_278)))]]) ).
cnf(refute_0_4868,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))) != multiply(pixley(X_513,X_514,n1),X_278)
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(pixley(X_513,X_514,n1),X_278) ),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278)))) )],[refute_0_4866,refute_0_4867]) ).
cnf(refute_0_4869,plain,
multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) = multiply(pixley(X_513,X_514,n1),X_278),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),multiply(pixley(X_513,X_514,n1),add(add(X_513,inverse(X_514)),X_278))),multiply(pixley(X_513,X_514,n1),X_278)) )],[refute_0_4819,refute_0_4868]) ).
cnf(refute_0_4870,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(X_278,pixley(X_513,X_514,n1))
| multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(pixley(X_513,X_514,n1),X_278)
| multiply(pixley(X_513,X_514,n1),X_278) = multiply(X_278,pixley(X_513,X_514,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(X_278,pixley(X_513,X_514,n1))) ),[0],$fot(multiply(pixley(X_513,X_514,n1),X_278))]]) ).
cnf(refute_0_4871,plain,
( multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)) != multiply(X_278,pixley(X_513,X_514,n1))
| multiply(pixley(X_513,X_514,n1),X_278) = multiply(X_278,pixley(X_513,X_514,n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(pixley(X_513,X_514,n1),X_278)) )],[refute_0_4869,refute_0_4870]) ).
cnf(refute_0_4872,plain,
multiply(pixley(X_513,X_514,n1),X_278) = multiply(X_278,pixley(X_513,X_514,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(pixley(X_513,X_514,n1),X_278),pixley(add(X_513,inverse(X_514)),inverse(pixley(X_513,X_514,n1)),X_278)),multiply(X_278,pixley(X_513,X_514,n1))) )],[refute_0_4818,refute_0_4871]) ).
cnf(refute_0_4873,plain,
( multiply(pixley(X_513,X_514,n1),X_278) != multiply(X_278,pixley(X_513,X_514,n1))
| multiply(X_278,pixley(X_513,X_514,n1)) = multiply(pixley(X_513,X_514,n1),X_278) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(pixley(X_513,X_514,n1),X_278))),bind(Y0,$fot(multiply(X_278,pixley(X_513,X_514,n1))))]]) ).
cnf(refute_0_4874,plain,
multiply(X_278,pixley(X_513,X_514,n1)) = multiply(pixley(X_513,X_514,n1),X_278),
inference(resolve,[$cnf( $equal(multiply(pixley(X_513,X_514,n1),X_278),multiply(X_278,pixley(X_513,X_514,n1))) )],[refute_0_4872,refute_0_4873]) ).
cnf(refute_0_4875,plain,
multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514))),
inference(subst,[],[refute_0_4874:[bind(X_278,$fot(add(inverse(add(X_661,X_514)),inverse(X_514)))),bind(X_513,$fot(inverse(n1)))]]) ).
cnf(refute_0_4876,plain,
( multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) != multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514)))
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514))) != multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)))),bind(Y0,$fot(multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514))))),bind(Z0,$fot(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))))]]) ).
cnf(refute_0_4877,plain,
( multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514))) != multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)),multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514)))) )],[refute_0_4875,refute_0_4876]) ).
cnf(refute_0_4878,plain,
multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(n1),X_514,n1),add(inverse(add(X_661,X_514)),inverse(X_514))),multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))) )],[refute_0_4814,refute_0_4877]) ).
cnf(refute_0_4879,plain,
( multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) != multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))
| multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) != inverse(X_514)
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = inverse(X_514) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)))),bind(Y0,$fot(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))))),bind(Z0,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4880,plain,
( multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))) != inverse(X_514)
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = inverse(X_514) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)),multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514))))) )],[refute_0_4878,refute_0_4879]) ).
cnf(refute_0_4881,plain,
multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) = inverse(X_514),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(n1),X_514,n1),add(inverse(X_514),inverse(add(X_661,X_514)))),inverse(X_514)) )],[refute_0_4801,refute_0_4880]) ).
cnf(refute_0_4882,plain,
( multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) != add(inverse(add(X_661,X_514)),inverse(X_514))
| multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) != inverse(X_514)
| inverse(X_514) = add(inverse(add(X_661,X_514)),inverse(X_514)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)),add(inverse(add(X_661,X_514)),inverse(X_514))) ),[0],$fot(inverse(X_514))]]) ).
cnf(refute_0_4883,plain,
( multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) != add(inverse(add(X_661,X_514)),inverse(X_514))
| inverse(X_514) = add(inverse(add(X_661,X_514)),inverse(X_514)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)),inverse(X_514)) )],[refute_0_4881,refute_0_4882]) ).
cnf(refute_0_4884,plain,
add(X_297,X_429) = add(X_429,X_297),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_429)),bind(X_605,$fot(X_297))]]) ).
cnf(refute_0_4885,plain,
add(inverse(add(X_661,X_514)),inverse(X_514)) = add(inverse(X_514),inverse(add(X_661,X_514))),
inference(subst,[],[refute_0_4884:[bind(X_297,$fot(inverse(add(X_661,X_514)))),bind(X_429,$fot(inverse(X_514)))]]) ).
cnf(refute_0_4886,plain,
( add(inverse(add(X_661,X_514)),inverse(X_514)) != add(inverse(X_514),inverse(add(X_661,X_514)))
| inverse(X_514) != add(inverse(add(X_661,X_514)),inverse(X_514))
| inverse(X_514) = add(inverse(X_514),inverse(add(X_661,X_514))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_514),add(inverse(add(X_661,X_514)),inverse(X_514))) ),[1],$fot(add(inverse(X_514),inverse(add(X_661,X_514))))]]) ).
cnf(refute_0_4887,plain,
( inverse(X_514) != add(inverse(add(X_661,X_514)),inverse(X_514))
| inverse(X_514) = add(inverse(X_514),inverse(add(X_661,X_514))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_661,X_514)),inverse(X_514)),add(inverse(X_514),inverse(add(X_661,X_514)))) )],[refute_0_4885,refute_0_4886]) ).
cnf(refute_0_4888,plain,
( multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)) != add(inverse(add(X_661,X_514)),inverse(X_514))
| inverse(X_514) = add(inverse(X_514),inverse(add(X_661,X_514))) ),
inference(resolve,[$cnf( $equal(inverse(X_514),add(inverse(add(X_661,X_514)),inverse(X_514))) )],[refute_0_4883,refute_0_4887]) ).
cnf(refute_0_4889,plain,
inverse(X_514) = add(inverse(X_514),inverse(add(X_661,X_514))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_661,X_514)),inverse(X_514)),pixley(inverse(n1),X_514,n1)),add(inverse(add(X_661,X_514)),inverse(X_514))) )],[refute_0_4784,refute_0_4888]) ).
cnf(refute_0_4890,plain,
inverse(X_667) = add(inverse(X_667),inverse(add(X_668,X_667))),
inference(subst,[],[refute_0_4889:[bind(X_514,$fot(X_667)),bind(X_661,$fot(X_668))]]) ).
cnf(refute_0_4891,plain,
( inverse(X_667) != add(inverse(X_667),inverse(add(X_668,X_667)))
| add(inverse(X_667),inverse(add(X_668,X_667))) = inverse(X_667) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_667))),bind(Y0,$fot(add(inverse(X_667),inverse(add(X_668,X_667)))))]]) ).
cnf(refute_0_4892,plain,
add(inverse(X_667),inverse(add(X_668,X_667))) = inverse(X_667),
inference(resolve,[$cnf( $equal(inverse(X_667),add(inverse(X_667),inverse(add(X_668,X_667)))) )],[refute_0_4890,refute_0_4891]) ).
cnf(refute_0_4893,plain,
( add(inverse(X_667),inverse(add(X_668,X_667))) != inverse(X_667)
| pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),add(inverse(X_667),inverse(add(X_668,X_667)))) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) = pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),add(inverse(X_667),inverse(add(X_668,X_667)))),pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)) ),[0,2],$fot(inverse(X_667))]]) ).
cnf(refute_0_4894,plain,
( pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),add(inverse(X_667),inverse(add(X_668,X_667)))) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) = pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(X_667),inverse(add(X_668,X_667))),inverse(X_667)) )],[refute_0_4892,refute_0_4893]) ).
cnf(refute_0_4895,plain,
pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) = pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1),
inference(resolve,[$cnf( $equal(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),add(inverse(X_667),inverse(add(X_668,X_667)))),pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)) )],[refute_0_4755,refute_0_4894]) ).
cnf(refute_0_4896,plain,
pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) = inverse(X_667),
inference(subst,[],[pixley3:[bind(X,$fot(inverse(X_667))),bind(Y,$fot(inverse(inverse(add(X_668,X_667)))))]]) ).
cnf(refute_0_4897,plain,
( pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) != inverse(X_667)
| pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| inverse(X_667) = pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)),pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)) ),[0],$fot(inverse(X_667))]]) ).
cnf(refute_0_4898,plain,
( pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| inverse(X_667) = pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)),inverse(X_667)) )],[refute_0_4896,refute_0_4897]) ).
cnf(refute_0_4899,plain,
pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1) = pixley(inverse(add(X_668,X_667)),X_667,n1),
inference(subst,[],[refute_0_3753:[bind(Y,$fot(X_667)),bind(X_640,$fot(inverse(add(X_668,X_667))))]]) ).
cnf(refute_0_4900,plain,
( inverse(X_667) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1) != pixley(inverse(add(X_668,X_667)),X_667,n1)
| inverse(X_667) = pixley(inverse(add(X_668,X_667)),X_667,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(X_667),pixley(inverse(add(X_668,X_667)),X_667,n1)) ),[0],$fot(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1))]]) ).
cnf(refute_0_4901,plain,
( inverse(X_667) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| inverse(X_667) = pixley(inverse(add(X_668,X_667)),X_667,n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1),pixley(inverse(add(X_668,X_667)),X_667,n1)) )],[refute_0_4899,refute_0_4900]) ).
cnf(refute_0_4902,plain,
( pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)) != pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)
| inverse(X_667) = pixley(inverse(add(X_668,X_667)),X_667,n1) ),
inference(resolve,[$cnf( $equal(inverse(X_667),pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)) )],[refute_0_4898,refute_0_4901]) ).
cnf(refute_0_4903,plain,
inverse(X_667) = pixley(inverse(add(X_668,X_667)),X_667,n1),
inference(resolve,[$cnf( $equal(pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),inverse(X_667)),pixley(inverse(X_667),inverse(inverse(add(X_668,X_667))),n1)) )],[refute_0_4895,refute_0_4902]) ).
cnf(refute_0_4904,plain,
inverse(multiply(X_676,Y)) = pixley(inverse(add(X_676,multiply(X_676,Y))),multiply(X_676,Y),n1),
inference(subst,[],[refute_0_4903:[bind(X_667,$fot(multiply(X_676,Y))),bind(X_668,$fot(X_676))]]) ).
cnf(refute_0_4905,plain,
X_676 = add(X_676,multiply(X_676,Y)),
inference(subst,[],[refute_0_4127:[bind(X_605,$fot(X_676))]]) ).
cnf(refute_0_4906,plain,
( X_676 != add(X_676,multiply(X_676,Y))
| add(X_676,multiply(X_676,Y)) = X_676 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_676)),bind(Y0,$fot(add(X_676,multiply(X_676,Y))))]]) ).
cnf(refute_0_4907,plain,
add(X_676,multiply(X_676,Y)) = X_676,
inference(resolve,[$cnf( $equal(X_676,add(X_676,multiply(X_676,Y))) )],[refute_0_4905,refute_0_4906]) ).
cnf(refute_0_4908,plain,
( add(X_676,multiply(X_676,Y)) != X_676
| inverse(multiply(X_676,Y)) != pixley(inverse(add(X_676,multiply(X_676,Y))),multiply(X_676,Y),n1)
| inverse(multiply(X_676,Y)) = pixley(inverse(X_676),multiply(X_676,Y),n1) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_676,Y)),pixley(inverse(add(X_676,multiply(X_676,Y))),multiply(X_676,Y),n1)) ),[1,0,0],$fot(X_676)]]) ).
cnf(refute_0_4909,plain,
( inverse(multiply(X_676,Y)) != pixley(inverse(add(X_676,multiply(X_676,Y))),multiply(X_676,Y),n1)
| inverse(multiply(X_676,Y)) = pixley(inverse(X_676),multiply(X_676,Y),n1) ),
inference(resolve,[$cnf( $equal(add(X_676,multiply(X_676,Y)),X_676) )],[refute_0_4907,refute_0_4908]) ).
cnf(refute_0_4910,plain,
inverse(multiply(X_676,Y)) = pixley(inverse(X_676),multiply(X_676,Y),n1),
inference(resolve,[$cnf( $equal(inverse(multiply(X_676,Y)),pixley(inverse(add(X_676,multiply(X_676,Y))),multiply(X_676,Y),n1)) )],[refute_0_4904,refute_0_4909]) ).
cnf(refute_0_4911,plain,
( inverse(multiply(X_676,Y)) != pixley(inverse(X_676),multiply(X_676,Y),n1)
| pixley(inverse(X_676),multiply(X_676,Y),n1) = inverse(multiply(X_676,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_676,Y)))),bind(Y0,$fot(pixley(inverse(X_676),multiply(X_676,Y),n1)))]]) ).
cnf(refute_0_4912,plain,
pixley(inverse(X_676),multiply(X_676,Y),n1) = inverse(multiply(X_676,Y)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_676,Y)),pixley(inverse(X_676),multiply(X_676,Y),n1)) )],[refute_0_4910,refute_0_4911]) ).
cnf(refute_0_4913,plain,
pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1) = inverse(multiply(inverse(X_839),X_963)),
inference(subst,[],[refute_0_4912:[bind(Y,$fot(X_963)),bind(X_676,$fot(inverse(X_839)))]]) ).
cnf(refute_0_4914,plain,
pixley(inverse(Y),X_838,inverse(X_840)) = pixley(inverse(X_838),inverse(inverse(Y)),inverse(X_840)),
inference(subst,[],[refute_0_3629:[bind(Y,$fot(X_838)),bind(X_792,$fot(inverse(Y))),bind(X_794,$fot(X_840))]]) ).
cnf(refute_0_4915,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(Y),X_838,inverse(X_840)) != pixley(inverse(X_838),inverse(inverse(Y)),inverse(X_840))
| pixley(inverse(Y),X_838,inverse(X_840)) = pixley(inverse(X_838),Y,inverse(X_840)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),X_838,inverse(X_840)),pixley(inverse(X_838),inverse(inverse(Y)),inverse(X_840))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_4916,plain,
( pixley(inverse(Y),X_838,inverse(X_840)) != pixley(inverse(X_838),inverse(inverse(Y)),inverse(X_840))
| pixley(inverse(Y),X_838,inverse(X_840)) = pixley(inverse(X_838),Y,inverse(X_840)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4915]) ).
cnf(refute_0_4917,plain,
pixley(inverse(Y),X_838,inverse(X_840)) = pixley(inverse(X_838),Y,inverse(X_840)),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),X_838,inverse(X_840)),pixley(inverse(X_838),inverse(inverse(Y)),inverse(X_840))) )],[refute_0_4914,refute_0_4916]) ).
cnf(refute_0_4918,plain,
pixley(inverse(X_847),X_848,inverse(inverse(Y))) = pixley(inverse(X_848),X_847,inverse(inverse(Y))),
inference(subst,[],[refute_0_4917:[bind(Y,$fot(X_847)),bind(X_838,$fot(X_848)),bind(X_840,$fot(inverse(Y)))]]) ).
cnf(refute_0_4919,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(X_847),X_848,inverse(inverse(Y))) != pixley(inverse(X_848),X_847,inverse(inverse(Y)))
| pixley(inverse(X_847),X_848,Y) = pixley(inverse(X_848),X_847,inverse(inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_847),X_848,inverse(inverse(Y))),pixley(inverse(X_848),X_847,inverse(inverse(Y)))) ),[0,2],$fot(Y)]]) ).
cnf(refute_0_4920,plain,
( pixley(inverse(X_847),X_848,inverse(inverse(Y))) != pixley(inverse(X_848),X_847,inverse(inverse(Y)))
| pixley(inverse(X_847),X_848,Y) = pixley(inverse(X_848),X_847,inverse(inverse(Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4919]) ).
cnf(refute_0_4921,plain,
pixley(inverse(X_847),X_848,Y) = pixley(inverse(X_848),X_847,inverse(inverse(Y))),
inference(resolve,[$cnf( $equal(pixley(inverse(X_847),X_848,inverse(inverse(Y))),pixley(inverse(X_848),X_847,inverse(inverse(Y)))) )],[refute_0_4918,refute_0_4920]) ).
cnf(refute_0_4922,plain,
pixley(inverse(X_848),X_847,inverse(inverse(Y))) = pixley(inverse(X_848),X_847,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(pixley(inverse(X_848),X_847,inverse(inverse(Y))))]]) ).
cnf(refute_0_4923,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(X_848),X_847,inverse(inverse(Y))) != pixley(inverse(X_848),X_847,inverse(inverse(Y)))
| pixley(inverse(X_848),X_847,inverse(inverse(Y))) = pixley(inverse(X_848),X_847,Y) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_848),X_847,inverse(inverse(Y))),pixley(inverse(X_848),X_847,inverse(inverse(Y)))) ),[1,2],$fot(Y)]]) ).
cnf(refute_0_4924,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(X_848),X_847,inverse(inverse(Y))) = pixley(inverse(X_848),X_847,Y) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_848),X_847,inverse(inverse(Y))),pixley(inverse(X_848),X_847,inverse(inverse(Y)))) )],[refute_0_4922,refute_0_4923]) ).
cnf(refute_0_4925,plain,
pixley(inverse(X_848),X_847,inverse(inverse(Y))) = pixley(inverse(X_848),X_847,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_4924]) ).
cnf(refute_0_4926,plain,
( pixley(inverse(X_847),X_848,Y) != pixley(inverse(X_848),X_847,inverse(inverse(Y)))
| pixley(inverse(X_848),X_847,inverse(inverse(Y))) != pixley(inverse(X_848),X_847,Y)
| pixley(inverse(X_847),X_848,Y) = pixley(inverse(X_848),X_847,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(pixley(inverse(X_847),X_848,Y),pixley(inverse(X_848),X_847,Y)) ),[0],$fot(pixley(inverse(X_848),X_847,inverse(inverse(Y))))]]) ).
cnf(refute_0_4927,plain,
( pixley(inverse(X_847),X_848,Y) != pixley(inverse(X_848),X_847,inverse(inverse(Y)))
| pixley(inverse(X_847),X_848,Y) = pixley(inverse(X_848),X_847,Y) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_848),X_847,inverse(inverse(Y))),pixley(inverse(X_848),X_847,Y)) )],[refute_0_4925,refute_0_4926]) ).
cnf(refute_0_4928,plain,
pixley(inverse(X_847),X_848,Y) = pixley(inverse(X_848),X_847,Y),
inference(resolve,[$cnf( $equal(pixley(inverse(X_847),X_848,Y),pixley(inverse(X_848),X_847,inverse(inverse(Y)))) )],[refute_0_4921,refute_0_4927]) ).
cnf(refute_0_4929,plain,
( pixley(inverse(X_847),X_848,Y) != pixley(inverse(X_848),X_847,Y)
| pixley(inverse(X_848),X_847,Y) = pixley(inverse(X_847),X_848,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(X_847),X_848,Y))),bind(Y0,$fot(pixley(inverse(X_848),X_847,Y)))]]) ).
cnf(refute_0_4930,plain,
pixley(inverse(X_848),X_847,Y) = pixley(inverse(X_847),X_848,Y),
inference(resolve,[$cnf( $equal(pixley(inverse(X_847),X_848,Y),pixley(inverse(X_848),X_847,Y)) )],[refute_0_4928,refute_0_4929]) ).
cnf(refute_0_4931,plain,
pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) = pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1),
inference(subst,[],[refute_0_4930:[bind(Y,$fot(n1)),bind(X_847,$fot(inverse(X_839))),bind(X_848,$fot(multiply(inverse(X_839),X_963)))]]) ).
cnf(refute_0_4932,plain,
( pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) != pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1)
| pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1) != inverse(multiply(inverse(X_839),X_963))
| pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) = inverse(multiply(inverse(X_839),X_963)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1))),bind(Y0,$fot(pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1))),bind(Z0,$fot(inverse(multiply(inverse(X_839),X_963))))]]) ).
cnf(refute_0_4933,plain,
( pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1) != inverse(multiply(inverse(X_839),X_963))
| pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) = inverse(multiply(inverse(X_839),X_963)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1),pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1)) )],[refute_0_4931,refute_0_4932]) ).
cnf(refute_0_4934,plain,
pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) = inverse(multiply(inverse(X_839),X_963)),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(X_839)),multiply(inverse(X_839),X_963),n1),inverse(multiply(inverse(X_839),X_963))) )],[refute_0_4913,refute_0_4933]) ).
cnf(refute_0_4935,plain,
( add(X_839,inverse(multiply(inverse(X_839),X_963))) != pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)
| pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1) != inverse(multiply(inverse(X_839),X_963))
| add(X_839,inverse(multiply(inverse(X_839),X_963))) = inverse(multiply(inverse(X_839),X_963)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_839,inverse(multiply(inverse(X_839),X_963))),inverse(multiply(inverse(X_839),X_963))) ),[0],$fot(pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1))]]) ).
cnf(refute_0_4936,plain,
( add(X_839,inverse(multiply(inverse(X_839),X_963))) != pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)
| add(X_839,inverse(multiply(inverse(X_839),X_963))) = inverse(multiply(inverse(X_839),X_963)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1),inverse(multiply(inverse(X_839),X_963))) )],[refute_0_4934,refute_0_4935]) ).
cnf(refute_0_4937,plain,
add(X_839,inverse(multiply(inverse(X_839),X_963))) = inverse(multiply(inverse(X_839),X_963)),
inference(resolve,[$cnf( $equal(add(X_839,inverse(multiply(inverse(X_839),X_963))),pixley(inverse(multiply(inverse(X_839),X_963)),inverse(X_839),n1)) )],[refute_0_4754,refute_0_4936]) ).
cnf(refute_0_4938,plain,
add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) = inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))),
inference(subst,[],[refute_0_4937:[bind(X_839,$fot(X_962)),bind(X_963,$fot(multiply(X_287,inverse(X_962))))]]) ).
cnf(refute_0_4939,plain,
( add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) != inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))
| inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) != inverse(multiply(X_287,inverse(X_962)))
| add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) = inverse(multiply(X_287,inverse(X_962))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))))),bind(Y0,$fot(inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))),bind(Z0,$fot(inverse(multiply(X_287,inverse(X_962)))))]]) ).
cnf(refute_0_4940,plain,
( inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))) != inverse(multiply(X_287,inverse(X_962)))
| add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) = inverse(multiply(X_287,inverse(X_962))) ),
inference(resolve,[$cnf( $equal(add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))),inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) )],[refute_0_4938,refute_0_4939]) ).
cnf(refute_0_4941,plain,
add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) = inverse(multiply(X_287,inverse(X_962))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))),inverse(multiply(X_287,inverse(X_962)))) )],[refute_0_4749,refute_0_4940]) ).
cnf(refute_0_4942,plain,
( add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))) != inverse(multiply(X_287,inverse(X_962)))
| pixley(X_962,multiply(X_287,inverse(X_962)),n1) != add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))
| pixley(X_962,multiply(X_287,inverse(X_962)),n1) = inverse(multiply(X_287,inverse(X_962))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_962,multiply(X_287,inverse(X_962)),n1),add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))) ),[1],$fot(inverse(multiply(X_287,inverse(X_962))))]]) ).
cnf(refute_0_4943,plain,
( pixley(X_962,multiply(X_287,inverse(X_962)),n1) != add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))
| pixley(X_962,multiply(X_287,inverse(X_962)),n1) = inverse(multiply(X_287,inverse(X_962))) ),
inference(resolve,[$cnf( $equal(add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962))))),inverse(multiply(X_287,inverse(X_962)))) )],[refute_0_4941,refute_0_4942]) ).
cnf(refute_0_4944,plain,
pixley(X_962,multiply(X_287,inverse(X_962)),n1) = inverse(multiply(X_287,inverse(X_962))),
inference(resolve,[$cnf( $equal(pixley(X_962,multiply(X_287,inverse(X_962)),n1),add(X_962,inverse(multiply(inverse(X_962),multiply(X_287,inverse(X_962)))))) )],[refute_0_4745,refute_0_4943]) ).
cnf(refute_0_4945,plain,
pixley(X_921,multiply(X_966,inverse(X_921)),n1) = inverse(multiply(X_966,inverse(X_921))),
inference(subst,[],[refute_0_4944:[bind(X_287,$fot(X_966)),bind(X_962,$fot(X_921))]]) ).
cnf(refute_0_4946,plain,
( multiply(X_921,inverse(pixley(X_921,multiply(X_966,inverse(X_921)),n1))) != inverse(n1)
| pixley(X_921,multiply(X_966,inverse(X_921)),n1) != inverse(multiply(X_966,inverse(X_921)))
| multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_921,inverse(pixley(X_921,multiply(X_966,inverse(X_921)),n1))),inverse(n1)) ),[0,1,0],$fot(inverse(multiply(X_966,inverse(X_921))))]]) ).
cnf(refute_0_4947,plain,
( multiply(X_921,inverse(pixley(X_921,multiply(X_966,inverse(X_921)),n1))) != inverse(n1)
| multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(pixley(X_921,multiply(X_966,inverse(X_921)),n1),inverse(multiply(X_966,inverse(X_921)))) )],[refute_0_4945,refute_0_4946]) ).
cnf(refute_0_4948,plain,
multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_921,inverse(pixley(X_921,multiply(X_966,inverse(X_921)),n1))),inverse(n1)) )],[refute_0_4672,refute_0_4947]) ).
cnf(refute_0_4949,plain,
inverse(inverse(multiply(X_966,inverse(X_921)))) = multiply(X_966,inverse(X_921)),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(multiply(X_966,inverse(X_921))))]]) ).
cnf(refute_0_4950,plain,
multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))),
introduced(tautology,[refl,[$fot(multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))))]]) ).
cnf(refute_0_4951,plain,
( multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) != multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921)))))
| inverse(inverse(multiply(X_966,inverse(X_921)))) != multiply(X_966,inverse(X_921))
| multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = multiply(X_921,multiply(X_966,inverse(X_921))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))),multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921)))))) ),[1,1],$fot(multiply(X_966,inverse(X_921)))]]) ).
cnf(refute_0_4952,plain,
( inverse(inverse(multiply(X_966,inverse(X_921)))) != multiply(X_966,inverse(X_921))
| multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = multiply(X_921,multiply(X_966,inverse(X_921))) ),
inference(resolve,[$cnf( $equal(multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))),multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921)))))) )],[refute_0_4950,refute_0_4951]) ).
cnf(refute_0_4953,plain,
multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) = multiply(X_921,multiply(X_966,inverse(X_921))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_966,inverse(X_921)))),multiply(X_966,inverse(X_921))) )],[refute_0_4949,refute_0_4952]) ).
cnf(refute_0_4954,plain,
( multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) != multiply(X_921,multiply(X_966,inverse(X_921)))
| multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) != inverse(n1)
| multiply(X_921,multiply(X_966,inverse(X_921))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))),inverse(n1)) ),[0],$fot(multiply(X_921,multiply(X_966,inverse(X_921))))]]) ).
cnf(refute_0_4955,plain,
( multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))) != inverse(n1)
| multiply(X_921,multiply(X_966,inverse(X_921))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))),multiply(X_921,multiply(X_966,inverse(X_921)))) )],[refute_0_4953,refute_0_4954]) ).
cnf(refute_0_4956,plain,
multiply(X_921,multiply(X_966,inverse(X_921))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_921,inverse(inverse(multiply(X_966,inverse(X_921))))),inverse(n1)) )],[refute_0_4948,refute_0_4955]) ).
cnf(refute_0_4957,plain,
multiply(X_1359,multiply(X_966,inverse(X_1359))) = inverse(n1),
inference(subst,[],[refute_0_4956:[bind(X_921,$fot(X_1359))]]) ).
cnf(refute_0_4958,plain,
( multiply(X_1359,multiply(X_966,inverse(X_1359))) != inverse(n1)
| multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) != add(multiply(X_1359,multiply(X_966,inverse(X_1359))),multiply(X_1361,X_1359))
| multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = add(inverse(n1),multiply(X_1361,X_1359)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)),add(multiply(X_1359,multiply(X_966,inverse(X_1359))),multiply(X_1361,X_1359))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_4959,plain,
( multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) != add(multiply(X_1359,multiply(X_966,inverse(X_1359))),multiply(X_1361,X_1359))
| multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = add(inverse(n1),multiply(X_1361,X_1359)) ),
inference(resolve,[$cnf( $equal(multiply(X_1359,multiply(X_966,inverse(X_1359))),inverse(n1)) )],[refute_0_4957,refute_0_4958]) ).
cnf(refute_0_4960,plain,
multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = add(inverse(n1),multiply(X_1361,X_1359)),
inference(resolve,[$cnf( $equal(multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)),add(multiply(X_1359,multiply(X_966,inverse(X_1359))),multiply(X_1361,X_1359))) )],[refute_0_4641,refute_0_4959]) ).
cnf(refute_0_4961,plain,
add(inverse(n1),multiply(X_1361,X_1359)) = multiply(X_1361,X_1359),
inference(subst,[],[refute_0_2011:[bind(X,$fot(multiply(X_1361,X_1359)))]]) ).
cnf(refute_0_4962,plain,
( multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) != add(inverse(n1),multiply(X_1361,X_1359))
| add(inverse(n1),multiply(X_1361,X_1359)) != multiply(X_1361,X_1359)
| multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = multiply(X_1361,X_1359) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)),multiply(X_1361,X_1359)) ),[0],$fot(add(inverse(n1),multiply(X_1361,X_1359)))]]) ).
cnf(refute_0_4963,plain,
( multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) != add(inverse(n1),multiply(X_1361,X_1359))
| multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = multiply(X_1361,X_1359) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_1361,X_1359)),multiply(X_1361,X_1359)) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)) = multiply(X_1361,X_1359),
inference(resolve,[$cnf( $equal(multiply(X_1359,add(multiply(X_966,inverse(X_1359)),X_1361)),add(inverse(n1),multiply(X_1361,X_1359))) )],[refute_0_4960,refute_0_4963]) ).
cnf(refute_0_4965,plain,
multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)) = multiply(X_1379,inverse(X_605)),
inference(subst,[],[refute_0_4964:[bind(X_1359,$fot(inverse(X_605))),bind(X_1361,$fot(X_1379)),bind(X_966,$fot(X_1380))]]) ).
cnf(refute_0_4966,plain,
( multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)) != multiply(X_1379,inverse(X_605))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,multiply(X_1379,inverse(X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605),add(X_605,multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)))) ),[1,1],$fot(multiply(X_1379,inverse(X_605)))]]) ).
cnf(refute_0_4967,plain,
( add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,multiply(X_1379,inverse(X_605))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)),multiply(X_1379,inverse(X_605))) )],[refute_0_4965,refute_0_4966]) ).
cnf(refute_0_4968,plain,
add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,multiply(X_1379,inverse(X_605))),
inference(resolve,[$cnf( $equal(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605),add(X_605,multiply(inverse(X_605),add(multiply(X_1380,inverse(inverse(X_605))),X_1379)))) )],[refute_0_4640,refute_0_4967]) ).
cnf(refute_0_4969,plain,
inverse(inverse(X_605)) = X_605,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_605))]]) ).
cnf(refute_0_4970,plain,
multiply(X_1380,inverse(inverse(X_605))) = multiply(X_1380,inverse(inverse(X_605))),
introduced(tautology,[refl,[$fot(multiply(X_1380,inverse(inverse(X_605))))]]) ).
cnf(refute_0_4971,plain,
( multiply(X_1380,inverse(inverse(X_605))) != multiply(X_1380,inverse(inverse(X_605)))
| inverse(inverse(X_605)) != X_605
| multiply(X_1380,inverse(inverse(X_605))) = multiply(X_1380,X_605) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1380,inverse(inverse(X_605))),multiply(X_1380,inverse(inverse(X_605)))) ),[1,1],$fot(X_605)]]) ).
cnf(refute_0_4972,plain,
( inverse(inverse(X_605)) != X_605
| multiply(X_1380,inverse(inverse(X_605))) = multiply(X_1380,X_605) ),
inference(resolve,[$cnf( $equal(multiply(X_1380,inverse(inverse(X_605))),multiply(X_1380,inverse(inverse(X_605)))) )],[refute_0_4970,refute_0_4971]) ).
cnf(refute_0_4973,plain,
multiply(X_1380,inverse(inverse(X_605))) = multiply(X_1380,X_605),
inference(resolve,[$cnf( $equal(inverse(inverse(X_605)),X_605) )],[refute_0_4969,refute_0_4972]) ).
cnf(refute_0_4974,plain,
add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) = add(X_1379,multiply(X_1380,inverse(inverse(X_605)))),
introduced(tautology,[refl,[$fot(add(X_1379,multiply(X_1380,inverse(inverse(X_605)))))]]) ).
cnf(refute_0_4975,plain,
( multiply(X_1380,inverse(inverse(X_605))) != multiply(X_1380,X_605)
| add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) != add(X_1379,multiply(X_1380,inverse(inverse(X_605))))
| add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) = add(X_1379,multiply(X_1380,X_605)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_1379,multiply(X_1380,inverse(inverse(X_605)))),add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) ),[1,1],$fot(multiply(X_1380,X_605))]]) ).
cnf(refute_0_4976,plain,
( multiply(X_1380,inverse(inverse(X_605))) != multiply(X_1380,X_605)
| add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) = add(X_1379,multiply(X_1380,X_605)) ),
inference(resolve,[$cnf( $equal(add(X_1379,multiply(X_1380,inverse(inverse(X_605)))),add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) )],[refute_0_4974,refute_0_4975]) ).
cnf(refute_0_4977,plain,
add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) = add(X_1379,multiply(X_1380,X_605)),
inference(resolve,[$cnf( $equal(multiply(X_1380,inverse(inverse(X_605))),multiply(X_1380,X_605)) )],[refute_0_4973,refute_0_4976]) ).
cnf(refute_0_4978,plain,
add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) = add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))),
introduced(tautology,[refl,[$fot(add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))))]]) ).
cnf(refute_0_4979,plain,
( add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) != add(X_1379,multiply(X_1380,X_605))
| add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) != add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605)))))
| add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) = add(X_605,add(X_1379,multiply(X_1380,X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))),add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605)))))) ),[1,1],$fot(add(X_1379,multiply(X_1380,X_605)))]]) ).
cnf(refute_0_4980,plain,
( add(X_1379,multiply(X_1380,inverse(inverse(X_605)))) != add(X_1379,multiply(X_1380,X_605))
| add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) = add(X_605,add(X_1379,multiply(X_1380,X_605))) ),
inference(resolve,[$cnf( $equal(add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))),add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605)))))) )],[refute_0_4978,refute_0_4979]) ).
cnf(refute_0_4981,plain,
add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) = add(X_605,add(X_1379,multiply(X_1380,X_605))),
inference(resolve,[$cnf( $equal(add(X_1379,multiply(X_1380,inverse(inverse(X_605)))),add(X_1379,multiply(X_1380,X_605))) )],[refute_0_4977,refute_0_4980]) ).
cnf(refute_0_4982,plain,
multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) = add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),multiply(X_1361,inverse(multiply(X_379,inverse(X_1361))))),
inference(subst,[],[refute_0_3293:[bind(X,$fot(inverse(multiply(X_379,inverse(X_1361))))),bind(Y,$fot(X_1360)),bind(Z,$fot(X_1361))]]) ).
cnf(refute_0_4983,plain,
multiply(X_12,pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12)) = X_12,
inference(subst,[],[refute_0_3125:[bind(X_10,$fot(inverse(X_12)))]]) ).
cnf(refute_0_4984,plain,
pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12) = inverse(multiply(X_379,inverse(X_12))),
inference(subst,[],[refute_0_4720:[bind(Y,$fot(X_12)),bind(X_797,$fot(multiply(X_379,inverse(X_12))))]]) ).
cnf(refute_0_4985,plain,
( multiply(X_12,pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12)) != X_12
| pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12) != inverse(multiply(X_379,inverse(X_12)))
| multiply(X_12,inverse(multiply(X_379,inverse(X_12)))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12)),X_12) ),[0,1],$fot(inverse(multiply(X_379,inverse(X_12))))]]) ).
cnf(refute_0_4986,plain,
( multiply(X_12,pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12)) != X_12
| multiply(X_12,inverse(multiply(X_379,inverse(X_12)))) = X_12 ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12),inverse(multiply(X_379,inverse(X_12)))) )],[refute_0_4984,refute_0_4985]) ).
cnf(refute_0_4987,plain,
multiply(X_12,inverse(multiply(X_379,inverse(X_12)))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_12,pixley(inverse(X_12),multiply(X_379,inverse(X_12)),X_12)),X_12) )],[refute_0_4983,refute_0_4986]) ).
cnf(refute_0_4988,plain,
multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))) = X_1361,
inference(subst,[],[refute_0_4987:[bind(X_12,$fot(X_1361))]]) ).
cnf(refute_0_4989,plain,
( multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))) != X_1361
| multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))))
| multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) = add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)),add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))))) ),[1,1],$fot(X_1361)]]) ).
cnf(refute_0_4990,plain,
( multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))))
| multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) = add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) ),
inference(resolve,[$cnf( $equal(multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))),X_1361) )],[refute_0_4988,refute_0_4989]) ).
cnf(refute_0_4991,plain,
multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) = add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)),add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),multiply(X_1361,inverse(multiply(X_379,inverse(X_1361)))))) )],[refute_0_4982,refute_0_4990]) ).
cnf(refute_0_4992,plain,
pixley(multiply(Z,inverse(multiply(X_1054,inverse(Z)))),inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)),
inference(subst,[],[refute_0_3223:[bind(X,$fot(inverse(multiply(X_1054,inverse(Z)))))]]) ).
cnf(refute_0_4993,plain,
multiply(Z,inverse(multiply(X_1054,inverse(Z)))) = Z,
inference(subst,[],[refute_0_4987:[bind(X_12,$fot(Z)),bind(X_379,$fot(X_1054))]]) ).
cnf(refute_0_4994,plain,
( multiply(Z,inverse(multiply(X_1054,inverse(Z)))) != Z
| pixley(multiply(Z,inverse(multiply(X_1054,inverse(Z)))),inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) != multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))
| pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(Z,inverse(multiply(X_1054,inverse(Z)))),inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1),multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) ),[0,0],$fot(Z)]]) ).
cnf(refute_0_4995,plain,
( pixley(multiply(Z,inverse(multiply(X_1054,inverse(Z)))),inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) != multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))
| pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(Z,inverse(multiply(X_1054,inverse(Z)))),Z) )],[refute_0_4993,refute_0_4994]) ).
cnf(refute_0_4996,plain,
pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)),
inference(resolve,[$cnf( $equal(pixley(multiply(Z,inverse(multiply(X_1054,inverse(Z)))),inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1),multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) )],[refute_0_4992,refute_0_4995]) ).
cnf(refute_0_4997,plain,
pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = add(multiply(X,inverse(multiply(X_1054,inverse(X)))),multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))),
inference(subst,[],[refute_0_2222:[bind(X_262,$fot(inverse(multiply(X_1054,inverse(X)))))]]) ).
cnf(refute_0_4998,plain,
multiply(X,inverse(multiply(X_1054,inverse(X)))) = X,
inference(subst,[],[refute_0_4987:[bind(X_12,$fot(X)),bind(X_379,$fot(X_1054))]]) ).
cnf(refute_0_4999,plain,
( multiply(X,inverse(multiply(X_1054,inverse(X)))) != X
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != add(multiply(X,inverse(multiply(X_1054,inverse(X)))),multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),add(multiply(X,inverse(multiply(X_1054,inverse(X)))),multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_5000,plain,
( pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != add(multiply(X,inverse(multiply(X_1054,inverse(X)))),multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(X_1054,inverse(X)))),X) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),add(multiply(X,inverse(multiply(X_1054,inverse(X)))),multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))) )],[refute_0_4997,refute_0_5000]) ).
cnf(refute_0_5002,plain,
inverse(inverse(multiply(X_1054,inverse(X)))) = multiply(X_1054,inverse(X)),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(multiply(X_1054,inverse(X))))]]) ).
cnf(refute_0_5003,plain,
pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),
introduced(tautology,[refl,[$fot(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z))]]) ).
cnf(refute_0_5004,plain,
( inverse(inverse(multiply(X_1054,inverse(X)))) != multiply(X_1054,inverse(X))
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z)
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = pixley(X,multiply(X_1054,inverse(X)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z)) ),[1,1],$fot(multiply(X_1054,inverse(X)))]]) ).
cnf(refute_0_5005,plain,
( inverse(inverse(multiply(X_1054,inverse(X)))) != multiply(X_1054,inverse(X))
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = pixley(X,multiply(X_1054,inverse(X)),Z) ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z)) )],[refute_0_5003,refute_0_5004]) ).
cnf(refute_0_5006,plain,
pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) = pixley(X,multiply(X_1054,inverse(X)),Z),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_1054,inverse(X)))),multiply(X_1054,inverse(X))) )],[refute_0_5002,refute_0_5005]) ).
cnf(refute_0_5007,plain,
( pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != pixley(X,multiply(X_1054,inverse(X)),Z)
| pixley(X,multiply(X_1054,inverse(X)),Z) = add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))) ),[0],$fot(pixley(X,multiply(X_1054,inverse(X)),Z))]]) ).
cnf(refute_0_5008,plain,
( pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,multiply(X_1054,inverse(X)),Z) = add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),pixley(X,multiply(X_1054,inverse(X)),Z)) )],[refute_0_5006,refute_0_5007]) ).
cnf(refute_0_5009,plain,
multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z)) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X),
inference(subst,[],[refute_0_4216:[bind(X_808,$fot(X)),bind(X_809,$fot(Z)),bind(X_810,$fot(multiply(X_1054,inverse(X))))]]) ).
cnf(refute_0_5010,plain,
add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) = multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z)),
inference(subst,[],[refute_0_4472:[bind(Y,$fot(X)),bind(X_407,$fot(inverse(multiply(X_1054,inverse(X)))))]]) ).
cnf(refute_0_5011,plain,
( multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z)) != pixley(add(Z,X),multiply(X_1054,inverse(X)),X)
| add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) != multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z))
| add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))))),bind(Y0,$fot(multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z)))),bind(Z0,$fot(pixley(add(Z,X),multiply(X_1054,inverse(X)),X)))]]) ).
cnf(refute_0_5012,plain,
( multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z)) != pixley(add(Z,X),multiply(X_1054,inverse(X)),X)
| add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))),multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z))) )],[refute_0_5010,refute_0_5011]) ).
cnf(refute_0_5013,plain,
add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(multiply(X_1054,inverse(X)))),add(X,Z)),pixley(add(Z,X),multiply(X_1054,inverse(X)),X)) )],[refute_0_5009,refute_0_5012]) ).
cnf(refute_0_5014,plain,
( add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))) != pixley(add(Z,X),multiply(X_1054,inverse(X)),X)
| pixley(X,multiply(X_1054,inverse(X)),Z) != add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,multiply(X_1054,inverse(X)),Z) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(X_1054,inverse(X)),Z),add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))) ),[1],$fot(pixley(add(Z,X),multiply(X_1054,inverse(X)),X))]]) ).
cnf(refute_0_5015,plain,
( pixley(X,multiply(X_1054,inverse(X)),Z) != add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,multiply(X_1054,inverse(X)),Z) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X)))))),pixley(add(Z,X),multiply(X_1054,inverse(X)),X)) )],[refute_0_5013,refute_0_5014]) ).
cnf(refute_0_5016,plain,
( pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z) != add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))
| pixley(X,multiply(X_1054,inverse(X)),Z) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(X_1054,inverse(X)),Z),add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))) )],[refute_0_5008,refute_0_5015]) ).
cnf(refute_0_5017,plain,
pixley(X,multiply(X_1054,inverse(X)),Z) = pixley(add(Z,X),multiply(X_1054,inverse(X)),X),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1054,inverse(X)))),Z),add(X,multiply(Z,add(X,inverse(multiply(X_1054,inverse(X))))))) )],[refute_0_5001,refute_0_5016]) ).
cnf(refute_0_5018,plain,
( pixley(X,multiply(X_1054,inverse(X)),Z) != pixley(add(Z,X),multiply(X_1054,inverse(X)),X)
| pixley(add(Z,X),multiply(X_1054,inverse(X)),X) = pixley(X,multiply(X_1054,inverse(X)),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,multiply(X_1054,inverse(X)),Z))),bind(Y0,$fot(pixley(add(Z,X),multiply(X_1054,inverse(X)),X)))]]) ).
cnf(refute_0_5019,plain,
pixley(add(Z,X),multiply(X_1054,inverse(X)),X) = pixley(X,multiply(X_1054,inverse(X)),Z),
inference(resolve,[$cnf( $equal(pixley(X,multiply(X_1054,inverse(X)),Z),pixley(add(Z,X),multiply(X_1054,inverse(X)),X)) )],[refute_0_5017,refute_0_5018]) ).
cnf(refute_0_5020,plain,
pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z) = pixley(Z,multiply(X_1054,inverse(Z)),Y),
inference(subst,[],[refute_0_5019:[bind(X,$fot(Z)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_5021,plain,
multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) = pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z),
inference(subst,[],[refute_0_4139:[bind(X_301,$fot(multiply(X_1054,inverse(Z)))),bind(X_302,$fot(Z)),bind(X_303,$fot(Y))]]) ).
cnf(refute_0_5022,plain,
( multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) != pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z)
| pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))))),bind(Y0,$fot(pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z))),bind(Z0,$fot(pixley(Z,multiply(X_1054,inverse(Z)),Y)))]]) ).
cnf(refute_0_5023,plain,
( pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))),pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z)) )],[refute_0_5021,refute_0_5022]) ).
cnf(refute_0_5024,plain,
multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) = pixley(Z,multiply(X_1054,inverse(Z)),Y),
inference(resolve,[$cnf( $equal(pixley(add(Y,Z),multiply(X_1054,inverse(Z)),Z),pixley(Z,multiply(X_1054,inverse(Z)),Y)) )],[refute_0_5020,refute_0_5023]) ).
cnf(refute_0_5025,plain,
add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) = multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))),
inference(subst,[],[refute_0_2757:[bind(Y,$fot(Z)),bind(Z,$fot(inverse(multiply(X_1054,inverse(Z))))),bind(X_250,$fot(Y))]]) ).
cnf(refute_0_5026,plain,
( multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) != multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z)))))
| add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))))),bind(Y0,$fot(multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))))),bind(Z0,$fot(pixley(Z,multiply(X_1054,inverse(Z)),Y)))]]) ).
cnf(refute_0_5027,plain,
( multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(resolve,[$cnf( $equal(add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z)))))) )],[refute_0_5025,refute_0_5026]) ).
cnf(refute_0_5028,plain,
add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) = pixley(Z,multiply(X_1054,inverse(Z)),Y),
inference(resolve,[$cnf( $equal(multiply(add(Y,Z),add(Z,inverse(multiply(X_1054,inverse(Z))))),pixley(Z,multiply(X_1054,inverse(Z)),Y)) )],[refute_0_5024,refute_0_5027]) ).
cnf(refute_0_5029,plain,
pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(Z)),bind(X_593,$fot(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))))]]) ).
cnf(refute_0_5030,plain,
( add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) != add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)))
| pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1))),bind(Y0,$fot(add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))))),bind(Z0,$fot(pixley(Z,multiply(X_1054,inverse(Z)),Y)))]]) ).
cnf(refute_0_5031,plain,
( add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(resolve,[$cnf( $equal(pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1),add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)))) )],[refute_0_5029,refute_0_5030]) ).
cnf(refute_0_5032,plain,
pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) = pixley(Z,multiply(X_1054,inverse(Z)),Y),
inference(resolve,[$cnf( $equal(add(Z,multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),pixley(Z,multiply(X_1054,inverse(Z)),Y)) )],[refute_0_5028,refute_0_5031]) ).
cnf(refute_0_5033,plain,
( pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) != multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))
| pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) != pixley(Z,multiply(X_1054,inverse(Z)),Y)
| pixley(Z,multiply(X_1054,inverse(Z)),Y) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1),multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) ),[0],$fot(pixley(Z,multiply(X_1054,inverse(Z)),Y))]]) ).
cnf(refute_0_5034,plain,
( pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1) != multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))
| pixley(Z,multiply(X_1054,inverse(Z)),Y) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)) ),
inference(resolve,[$cnf( $equal(pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1),pixley(Z,multiply(X_1054,inverse(Z)),Y)) )],[refute_0_5032,refute_0_5033]) ).
cnf(refute_0_5035,plain,
pixley(Z,multiply(X_1054,inverse(Z)),Y) = multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)),
inference(resolve,[$cnf( $equal(pixley(Z,inverse(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))),n1),multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) )],[refute_0_4996,refute_0_5034]) ).
cnf(refute_0_5036,plain,
( pixley(Z,multiply(X_1054,inverse(Z)),Y) != multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))
| multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)) = pixley(Z,multiply(X_1054,inverse(Z)),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(Z,multiply(X_1054,inverse(Z)),Y))),bind(Y0,$fot(multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))))]]) ).
cnf(refute_0_5037,plain,
multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z)) = pixley(Z,multiply(X_1054,inverse(Z)),Y),
inference(resolve,[$cnf( $equal(pixley(Z,multiply(X_1054,inverse(Z)),Y),multiply(inverse(multiply(X_1054,inverse(Z))),add(Y,Z))) )],[refute_0_5035,refute_0_5036]) ).
cnf(refute_0_5038,plain,
multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) = pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360),
inference(subst,[],[refute_0_5037:[bind(Y,$fot(X_1360)),bind(Z,$fot(X_1361)),bind(X_1054,$fot(X_379))]]) ).
cnf(refute_0_5039,plain,
( multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)
| multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) != pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360)
| pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) = add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)),add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)) ),[0],$fot(pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360))]]) ).
cnf(refute_0_5040,plain,
( multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)
| pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) = add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)),pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360)) )],[refute_0_5038,refute_0_5039]) ).
cnf(refute_0_5041,plain,
pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z)))))),
inference(subst,[],[refute_0_2222:[bind(X_262,$fot(inverse(multiply(X_1256,inverse(Z)))))]]) ).
cnf(refute_0_5042,plain,
multiply(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))),
inference(subst,[],[refute_0_80:[bind(X_10,$fot(multiply(X_699,X_701))),bind(X_11,$fot(inverse(multiply(X_699,add(X_700,X_701))))),bind(X_12,$fot(n1))]]) ).
cnf(refute_0_5043,plain,
multiply(X_354,X_356) = multiply(X_356,X_354),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_356)),bind(X_58,$fot(X_354))]]) ).
cnf(refute_0_5044,plain,
( multiply(X_354,X_356) != multiply(X_356,X_354)
| multiply(X_356,X_354) = multiply(X_354,X_356) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_354,X_356))),bind(Y0,$fot(multiply(X_356,X_354)))]]) ).
cnf(refute_0_5045,plain,
multiply(X_356,X_354) = multiply(X_354,X_356),
inference(resolve,[$cnf( $equal(multiply(X_354,X_356),multiply(X_356,X_354)) )],[refute_0_5043,refute_0_5044]) ).
cnf(refute_0_5046,plain,
( multiply(X_356,X_354) != multiply(X_354,X_356)
| pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1) != multiply(X_354,add(X_355,X_356))
| pixley(multiply(X_354,X_356),inverse(multiply(X_354,add(X_355,X_356))),n1) = multiply(X_354,add(X_355,X_356)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1),multiply(X_354,add(X_355,X_356))) ),[0,0],$fot(multiply(X_354,X_356))]]) ).
cnf(refute_0_5047,plain,
( pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1) != multiply(X_354,add(X_355,X_356))
| pixley(multiply(X_354,X_356),inverse(multiply(X_354,add(X_355,X_356))),n1) = multiply(X_354,add(X_355,X_356)) ),
inference(resolve,[$cnf( $equal(multiply(X_356,X_354),multiply(X_354,X_356)) )],[refute_0_5045,refute_0_5046]) ).
cnf(refute_0_5048,plain,
pixley(multiply(X_354,X_356),inverse(multiply(X_354,add(X_355,X_356))),n1) = multiply(X_354,add(X_355,X_356)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_356,X_354),inverse(multiply(X_354,add(X_355,X_356))),n1),multiply(X_354,add(X_355,X_356))) )],[refute_0_3721,refute_0_5047]) ).
cnf(refute_0_5049,plain,
pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) = multiply(X_699,add(X_700,X_701)),
inference(subst,[],[refute_0_5048:[bind(X_354,$fot(X_699)),bind(X_355,$fot(X_700)),bind(X_356,$fot(X_701))]]) ).
cnf(refute_0_5050,plain,
( multiply(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) != multiply(X_699,add(X_700,X_701))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) ),[0,0],$fot(multiply(X_699,add(X_700,X_701)))]]) ).
cnf(refute_0_5051,plain,
( multiply(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(X_699,add(X_700,X_701))) )],[refute_0_5049,refute_0_5050]) ).
cnf(refute_0_5052,plain,
multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))),
inference(resolve,[$cnf( $equal(multiply(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) )],[refute_0_5042,refute_0_5051]) ).
cnf(refute_0_5053,plain,
multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) = multiply(X_699,add(X_700,X_701)),
inference(subst,[],[refute_0_1549:[bind(X,$fot(multiply(X_699,X_701))),bind(Y,$fot(multiply(X_699,add(X_700,X_701))))]]) ).
cnf(refute_0_5054,plain,
inverse(inverse(multiply(X_699,add(X_700,X_701)))) = multiply(X_699,add(X_700,X_701)),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(multiply(X_699,add(X_700,X_701))))]]) ).
cnf(refute_0_5055,plain,
add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) = add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))),
introduced(tautology,[refl,[$fot(add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))]]) ).
cnf(refute_0_5056,plain,
( add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) != add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))
| inverse(inverse(multiply(X_699,add(X_700,X_701)))) != multiply(X_699,add(X_700,X_701))
| add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))),add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) ),[1,1],$fot(multiply(X_699,add(X_700,X_701)))]]) ).
cnf(refute_0_5057,plain,
( inverse(inverse(multiply(X_699,add(X_700,X_701)))) != multiply(X_699,add(X_700,X_701))
| add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))),add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) )],[refute_0_5055,refute_0_5056]) ).
cnf(refute_0_5058,plain,
add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_699,add(X_700,X_701)))),multiply(X_699,add(X_700,X_701))) )],[refute_0_5054,refute_0_5057]) ).
cnf(refute_0_5059,plain,
multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) = add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))))]]) ).
cnf(refute_0_5060,plain,
( multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) != add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))
| add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) != add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))
| multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))))),bind(Y0,$fot(add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),bind(Z0,$fot(add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))))]]) ).
cnf(refute_0_5061,plain,
( add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))) != add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))
| multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))),add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) )],[refute_0_5059,refute_0_5060]) ).
cnf(refute_0_5062,plain,
multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))),
inference(resolve,[$cnf( $equal(add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) )],[refute_0_5058,refute_0_5061]) ).
cnf(refute_0_5063,plain,
multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))))]]) ).
cnf(refute_0_5064,plain,
( multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))))
| multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) != add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))))) ),[1,1],$fot(add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))))]]) ).
cnf(refute_0_5065,plain,
( multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) != add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))))) )],[refute_0_5063,refute_0_5064]) ).
cnf(refute_0_5066,plain,
multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) )],[refute_0_5062,refute_0_5065]) ).
cnf(refute_0_5067,plain,
( multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))))
| multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) != multiply(X_699,add(X_700,X_701))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(X_699,add(X_700,X_701)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))))),bind(Y0,$fot(multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))))),bind(Z0,$fot(multiply(X_699,add(X_700,X_701))))]]) ).
cnf(refute_0_5068,plain,
( multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) != multiply(X_699,add(X_700,X_701))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(X_699,add(X_700,X_701)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))))) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) = multiply(X_699,add(X_700,X_701)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))),multiply(X_699,add(X_700,X_701))) )],[refute_0_5053,refute_0_5068]) ).
cnf(refute_0_5070,plain,
( multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(X_699,add(X_700,X_701))
| multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| multiply(X_699,add(X_700,X_701)) = multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) ),[0],$fot(multiply(X_699,add(X_700,X_701)))]]) ).
cnf(refute_0_5071,plain,
( multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| multiply(X_699,add(X_700,X_701)) = multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(X_699,add(X_700,X_701))) )],[refute_0_5069,refute_0_5070]) ).
cnf(refute_0_5072,plain,
( multiply(X_699,add(X_700,X_701)) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))) != add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))
| multiply(X_699,add(X_700,X_701)) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_699,add(X_700,X_701)),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) ),[0],$fot(multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))))]]) ).
cnf(refute_0_5073,plain,
( multiply(X_699,add(X_700,X_701)) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| multiply(X_699,add(X_700,X_701)) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701)))))),add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701)))) )],[refute_0_5062,refute_0_5072]) ).
cnf(refute_0_5074,plain,
( multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) != multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))
| multiply(X_699,add(X_700,X_701)) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))) ),
inference(resolve,[$cnf( $equal(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) )],[refute_0_5071,refute_0_5073]) ).
cnf(refute_0_5075,plain,
multiply(X_699,add(X_700,X_701)) = add(multiply(X_699,X_701),multiply(X_699,add(X_700,X_701))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_699,add(X_700,X_701)),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))),multiply(n1,add(multiply(X_699,X_701),inverse(inverse(multiply(X_699,add(X_700,X_701))))))) )],[refute_0_5052,refute_0_5074]) ).
cnf(refute_0_5076,plain,
multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = add(multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))),multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))),
inference(subst,[],[refute_0_5075:[bind(X_699,$fot(X_1248)),bind(X_700,$fot(X_1249)),bind(X_701,$fot(inverse(multiply(X_379,inverse(X_1248)))))]]) ).
cnf(refute_0_5077,plain,
multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))) = X_1248,
inference(subst,[],[refute_0_4987:[bind(X_12,$fot(X_1248))]]) ).
cnf(refute_0_5078,plain,
( multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) != add(multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))),multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))
| multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))) != X_1248
| multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))),add(multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))),multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))) ),[1,0],$fot(X_1248)]]) ).
cnf(refute_0_5079,plain,
( multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) != add(multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))),multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))
| multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))) ),
inference(resolve,[$cnf( $equal(multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))),X_1248) )],[refute_0_5077,refute_0_5078]) ).
cnf(refute_0_5080,plain,
multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))),
inference(resolve,[$cnf( $equal(multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))),add(multiply(X_1248,inverse(multiply(X_379,inverse(X_1248)))),multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))) )],[refute_0_5076,refute_0_5079]) ).
cnf(refute_0_5081,plain,
( X_605 != add(X_605,multiply(X_605,Y))
| add(X_605,multiply(X_605,Y)) = X_605 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_605)),bind(Y0,$fot(add(X_605,multiply(X_605,Y))))]]) ).
cnf(refute_0_5082,plain,
add(X_605,multiply(X_605,Y)) = X_605,
inference(resolve,[$cnf( $equal(X_605,add(X_605,multiply(X_605,Y))) )],[refute_0_4127,refute_0_5081]) ).
cnf(refute_0_5083,plain,
add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))) = X_1248,
inference(subst,[],[refute_0_5082:[bind(Y,$fot(add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))),bind(X_605,$fot(X_1248))]]) ).
cnf(refute_0_5084,plain,
( multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) != add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))
| add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))) != X_1248
| multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = X_1248 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))),X_1248) ),[0],$fot(add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))))]]) ).
cnf(refute_0_5085,plain,
( multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) != add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))
| multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = X_1248 ),
inference(resolve,[$cnf( $equal(add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248)))))),X_1248) )],[refute_0_5083,refute_0_5084]) ).
cnf(refute_0_5086,plain,
multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))) = X_1248,
inference(resolve,[$cnf( $equal(multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))),add(X_1248,multiply(X_1248,add(X_1249,inverse(multiply(X_379,inverse(X_1248))))))) )],[refute_0_5080,refute_0_5085]) ).
cnf(refute_0_5087,plain,
multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))) = Z,
inference(subst,[],[refute_0_5086:[bind(X_1248,$fot(Z)),bind(X_1249,$fot(X)),bind(X_379,$fot(X_1256))]]) ).
cnf(refute_0_5088,plain,
( multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))) != Z
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))))
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_5089,plain,
( pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))))
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))),Z) )],[refute_0_5087,refute_0_5088]) ).
cnf(refute_0_5090,plain,
pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),multiply(Z,add(X,inverse(multiply(X_1256,inverse(Z))))))) )],[refute_0_5041,refute_0_5089]) ).
cnf(refute_0_5091,plain,
inverse(inverse(multiply(X_1256,inverse(Z)))) = multiply(X_1256,inverse(Z)),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(multiply(X_1256,inverse(Z))))]]) ).
cnf(refute_0_5092,plain,
pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),
introduced(tautology,[refl,[$fot(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z))]]) ).
cnf(refute_0_5093,plain,
( inverse(inverse(multiply(X_1256,inverse(Z)))) != multiply(X_1256,inverse(Z))
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z)
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = pixley(X,multiply(X_1256,inverse(Z)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z)) ),[1,1],$fot(multiply(X_1256,inverse(Z)))]]) ).
cnf(refute_0_5094,plain,
( inverse(inverse(multiply(X_1256,inverse(Z)))) != multiply(X_1256,inverse(Z))
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = pixley(X,multiply(X_1256,inverse(Z)),Z) ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z)) )],[refute_0_5092,refute_0_5093]) ).
cnf(refute_0_5095,plain,
pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) = pixley(X,multiply(X_1256,inverse(Z)),Z),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_1256,inverse(Z)))),multiply(X_1256,inverse(Z))) )],[refute_0_5091,refute_0_5094]) ).
cnf(refute_0_5096,plain,
( pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)
| pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != pixley(X,multiply(X_1256,inverse(Z)),Z)
| pixley(X,multiply(X_1256,inverse(Z)),Z) = add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)) ),[0],$fot(pixley(X,multiply(X_1256,inverse(Z)),Z))]]) ).
cnf(refute_0_5097,plain,
( pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)
| pixley(X,multiply(X_1256,inverse(Z)),Z) = add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z) ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),pixley(X,multiply(X_1256,inverse(Z)),Z)) )],[refute_0_5095,refute_0_5096]) ).
cnf(refute_0_5098,plain,
pixley(X_1168,inverse(multiply(X_281,X_804)),n1) = add(X_1168,multiply(X_281,X_804)),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(X_1168)),bind(X_593,$fot(multiply(X_281,X_804)))]]) ).
cnf(refute_0_5099,plain,
( inverse(multiply(X_281,X_804)) != inverse(multiply(X_804,X_281))
| pixley(X_1168,inverse(multiply(X_281,X_804)),n1) != add(X_1168,multiply(X_281,X_804))
| pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(X_1168,multiply(X_281,X_804)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1168,inverse(multiply(X_281,X_804)),n1),add(X_1168,multiply(X_281,X_804))) ),[0,1],$fot(inverse(multiply(X_804,X_281)))]]) ).
cnf(refute_0_5100,plain,
( pixley(X_1168,inverse(multiply(X_281,X_804)),n1) != add(X_1168,multiply(X_281,X_804))
| pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(X_1168,multiply(X_281,X_804)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_281,X_804)),inverse(multiply(X_804,X_281))) )],[refute_0_3655,refute_0_5099]) ).
cnf(refute_0_5101,plain,
pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(X_1168,multiply(X_281,X_804)),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(multiply(X_281,X_804)),n1),add(X_1168,multiply(X_281,X_804))) )],[refute_0_5098,refute_0_5100]) ).
cnf(refute_0_5102,plain,
inverse(inverse(multiply(X_804,X_281))) = multiply(X_804,X_281),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(multiply(X_804,X_281)))]]) ).
cnf(refute_0_5103,plain,
add(inverse(inverse(multiply(X_804,X_281))),X_1168) = add(inverse(inverse(multiply(X_804,X_281))),X_1168),
introduced(tautology,[refl,[$fot(add(inverse(inverse(multiply(X_804,X_281))),X_1168))]]) ).
cnf(refute_0_5104,plain,
( add(inverse(inverse(multiply(X_804,X_281))),X_1168) != add(inverse(inverse(multiply(X_804,X_281))),X_1168)
| inverse(inverse(multiply(X_804,X_281))) != multiply(X_804,X_281)
| add(inverse(inverse(multiply(X_804,X_281))),X_1168) = add(multiply(X_804,X_281),X_1168) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(multiply(X_804,X_281))),X_1168),add(inverse(inverse(multiply(X_804,X_281))),X_1168)) ),[1,0],$fot(multiply(X_804,X_281))]]) ).
cnf(refute_0_5105,plain,
( inverse(inverse(multiply(X_804,X_281))) != multiply(X_804,X_281)
| add(inverse(inverse(multiply(X_804,X_281))),X_1168) = add(multiply(X_804,X_281),X_1168) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(multiply(X_804,X_281))),X_1168),add(inverse(inverse(multiply(X_804,X_281))),X_1168)) )],[refute_0_5103,refute_0_5104]) ).
cnf(refute_0_5106,plain,
add(inverse(inverse(multiply(X_804,X_281))),X_1168) = add(multiply(X_804,X_281),X_1168),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_804,X_281))),multiply(X_804,X_281)) )],[refute_0_5102,refute_0_5105]) ).
cnf(refute_0_5107,plain,
pixley(inverse(inverse(X_1169)),X_848,n1) = pixley(inverse(X_848),inverse(X_1169),n1),
inference(subst,[],[refute_0_4928:[bind(Y,$fot(n1)),bind(X_847,$fot(inverse(X_1169)))]]) ).
cnf(refute_0_5108,plain,
pixley(inverse(X_848),inverse(X_1169),n1) = add(inverse(X_848),X_1169),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(inverse(X_848))),bind(X_593,$fot(X_1169))]]) ).
cnf(refute_0_5109,plain,
( pixley(inverse(X_848),inverse(X_1169),n1) != add(inverse(X_848),X_1169)
| pixley(inverse(inverse(X_1169)),X_848,n1) != pixley(inverse(X_848),inverse(X_1169),n1)
| pixley(inverse(inverse(X_1169)),X_848,n1) = add(inverse(X_848),X_1169) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),pixley(inverse(X_848),inverse(X_1169),n1)) ),[1],$fot(add(inverse(X_848),X_1169))]]) ).
cnf(refute_0_5110,plain,
( pixley(inverse(inverse(X_1169)),X_848,n1) != pixley(inverse(X_848),inverse(X_1169),n1)
| pixley(inverse(inverse(X_1169)),X_848,n1) = add(inverse(X_848),X_1169) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_848),inverse(X_1169),n1),add(inverse(X_848),X_1169)) )],[refute_0_5108,refute_0_5109]) ).
cnf(refute_0_5111,plain,
pixley(inverse(inverse(X_1169)),X_848,n1) = add(inverse(X_848),X_1169),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),pixley(inverse(X_848),inverse(X_1169),n1)) )],[refute_0_5107,refute_0_5110]) ).
cnf(refute_0_5112,plain,
inverse(inverse(X_1169)) = X_1169,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_1169))]]) ).
cnf(refute_0_5113,plain,
pixley(inverse(inverse(X_1169)),X_848,n1) = pixley(inverse(inverse(X_1169)),X_848,n1),
introduced(tautology,[refl,[$fot(pixley(inverse(inverse(X_1169)),X_848,n1))]]) ).
cnf(refute_0_5114,plain,
( inverse(inverse(X_1169)) != X_1169
| pixley(inverse(inverse(X_1169)),X_848,n1) != pixley(inverse(inverse(X_1169)),X_848,n1)
| pixley(inverse(inverse(X_1169)),X_848,n1) = pixley(X_1169,X_848,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),pixley(inverse(inverse(X_1169)),X_848,n1)) ),[1,0],$fot(X_1169)]]) ).
cnf(refute_0_5115,plain,
( inverse(inverse(X_1169)) != X_1169
| pixley(inverse(inverse(X_1169)),X_848,n1) = pixley(X_1169,X_848,n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),pixley(inverse(inverse(X_1169)),X_848,n1)) )],[refute_0_5113,refute_0_5114]) ).
cnf(refute_0_5116,plain,
pixley(inverse(inverse(X_1169)),X_848,n1) = pixley(X_1169,X_848,n1),
inference(resolve,[$cnf( $equal(inverse(inverse(X_1169)),X_1169) )],[refute_0_5112,refute_0_5115]) ).
cnf(refute_0_5117,plain,
( pixley(inverse(inverse(X_1169)),X_848,n1) != add(inverse(X_848),X_1169)
| pixley(inverse(inverse(X_1169)),X_848,n1) != pixley(X_1169,X_848,n1)
| pixley(X_1169,X_848,n1) = add(inverse(X_848),X_1169) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),add(inverse(X_848),X_1169)) ),[0],$fot(pixley(X_1169,X_848,n1))]]) ).
cnf(refute_0_5118,plain,
( pixley(inverse(inverse(X_1169)),X_848,n1) != add(inverse(X_848),X_1169)
| pixley(X_1169,X_848,n1) = add(inverse(X_848),X_1169) ),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),pixley(X_1169,X_848,n1)) )],[refute_0_5116,refute_0_5117]) ).
cnf(refute_0_5119,plain,
pixley(X_1169,X_848,n1) = add(inverse(X_848),X_1169),
inference(resolve,[$cnf( $equal(pixley(inverse(inverse(X_1169)),X_848,n1),add(inverse(X_848),X_1169)) )],[refute_0_5111,refute_0_5118]) ).
cnf(refute_0_5120,plain,
pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(inverse(inverse(multiply(X_804,X_281))),X_1168),
inference(subst,[],[refute_0_5119:[bind(X_1169,$fot(X_1168)),bind(X_848,$fot(inverse(multiply(X_804,X_281))))]]) ).
cnf(refute_0_5121,plain,
( add(inverse(inverse(multiply(X_804,X_281))),X_1168) != add(multiply(X_804,X_281),X_1168)
| pixley(X_1168,inverse(multiply(X_804,X_281)),n1) != add(inverse(inverse(multiply(X_804,X_281))),X_1168)
| pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(multiply(X_804,X_281),X_1168) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X_1168,inverse(multiply(X_804,X_281)),n1))),bind(Y0,$fot(add(inverse(inverse(multiply(X_804,X_281))),X_1168))),bind(Z0,$fot(add(multiply(X_804,X_281),X_1168)))]]) ).
cnf(refute_0_5122,plain,
( add(inverse(inverse(multiply(X_804,X_281))),X_1168) != add(multiply(X_804,X_281),X_1168)
| pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(multiply(X_804,X_281),X_1168) ),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(multiply(X_804,X_281)),n1),add(inverse(inverse(multiply(X_804,X_281))),X_1168)) )],[refute_0_5120,refute_0_5121]) ).
cnf(refute_0_5123,plain,
pixley(X_1168,inverse(multiply(X_804,X_281)),n1) = add(multiply(X_804,X_281),X_1168),
inference(resolve,[$cnf( $equal(add(inverse(inverse(multiply(X_804,X_281))),X_1168),add(multiply(X_804,X_281),X_1168)) )],[refute_0_5106,refute_0_5122]) ).
cnf(refute_0_5124,plain,
( pixley(X_1168,inverse(multiply(X_804,X_281)),n1) != add(X_1168,multiply(X_281,X_804))
| pixley(X_1168,inverse(multiply(X_804,X_281)),n1) != add(multiply(X_804,X_281),X_1168)
| add(multiply(X_804,X_281),X_1168) = add(X_1168,multiply(X_281,X_804)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1168,inverse(multiply(X_804,X_281)),n1),add(X_1168,multiply(X_281,X_804))) ),[0],$fot(add(multiply(X_804,X_281),X_1168))]]) ).
cnf(refute_0_5125,plain,
( pixley(X_1168,inverse(multiply(X_804,X_281)),n1) != add(X_1168,multiply(X_281,X_804))
| add(multiply(X_804,X_281),X_1168) = add(X_1168,multiply(X_281,X_804)) ),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(multiply(X_804,X_281)),n1),add(multiply(X_804,X_281),X_1168)) )],[refute_0_5123,refute_0_5124]) ).
cnf(refute_0_5126,plain,
add(multiply(X_804,X_281),X_1168) = add(X_1168,multiply(X_281,X_804)),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(multiply(X_804,X_281)),n1),add(X_1168,multiply(X_281,X_804))) )],[refute_0_5101,refute_0_5125]) ).
cnf(refute_0_5127,plain,
add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z) = add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)),
inference(subst,[],[refute_0_5126:[bind(X_1168,$fot(Z)),bind(X_281,$fot(inverse(multiply(X_1256,inverse(Z))))),bind(X_804,$fot(X))]]) ).
cnf(refute_0_5128,plain,
( add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z) != add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X))
| pixley(X,multiply(X_1256,inverse(Z)),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)
| pixley(X,multiply(X_1256,inverse(Z)),Z) = add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(X_1256,inverse(Z)),Z),add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)) ),[1],$fot(add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)))]]) ).
cnf(refute_0_5129,plain,
( pixley(X,multiply(X_1256,inverse(Z)),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)
| pixley(X,multiply(X_1256,inverse(Z)),Z) = add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z),add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X))) )],[refute_0_5127,refute_0_5128]) ).
cnf(refute_0_5130,plain,
( pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z) != add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)
| pixley(X,multiply(X_1256,inverse(Z)),Z) = add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(X_1256,inverse(Z)),Z),add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)) )],[refute_0_5097,refute_0_5129]) ).
cnf(refute_0_5131,plain,
pixley(X,multiply(X_1256,inverse(Z)),Z) = add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(multiply(X_1256,inverse(Z)))),Z),add(multiply(X,inverse(multiply(X_1256,inverse(Z)))),Z)) )],[refute_0_5090,refute_0_5130]) ).
cnf(refute_0_5132,plain,
( pixley(X,multiply(X_1256,inverse(Z)),Z) != add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X))
| add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)) = pixley(X,multiply(X_1256,inverse(Z)),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,multiply(X_1256,inverse(Z)),Z))),bind(Y0,$fot(add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X))))]]) ).
cnf(refute_0_5133,plain,
add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X)) = pixley(X,multiply(X_1256,inverse(Z)),Z),
inference(resolve,[$cnf( $equal(pixley(X,multiply(X_1256,inverse(Z)),Z),add(Z,multiply(inverse(multiply(X_1256,inverse(Z))),X))) )],[refute_0_5131,refute_0_5132]) ).
cnf(refute_0_5134,plain,
add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361),
inference(subst,[],[refute_0_5133:[bind(X,$fot(X_1360)),bind(Z,$fot(X_1361)),bind(X_1256,$fot(X_379))]]) ).
cnf(refute_0_5135,plain,
add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) = add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)),
inference(subst,[],[refute_0_3553:[bind(X_775,$fot(X_1361)),bind(X_776,$fot(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)))]]) ).
cnf(refute_0_5136,plain,
( add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)) != pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361)
| add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) != add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360))
| add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361))),bind(Y0,$fot(add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)))),bind(Z0,$fot(pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361)))]]) ).
cnf(refute_0_5137,plain,
( add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)) != pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361)
| add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361),add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360))) )],[refute_0_5135,refute_0_5136]) ).
cnf(refute_0_5138,plain,
add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361),
inference(resolve,[$cnf( $equal(add(X_1361,multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360)),pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361)) )],[refute_0_5134,refute_0_5137]) ).
cnf(refute_0_5139,plain,
( add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361) != pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361)
| pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)
| pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360),add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)) ),[1],$fot(pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361))]]) ).
cnf(refute_0_5140,plain,
( pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)
| pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361),pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361)) )],[refute_0_5138,refute_0_5139]) ).
cnf(refute_0_5141,plain,
( multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)) != add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)
| pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361) ),
inference(resolve,[$cnf( $equal(pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360),add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)) )],[refute_0_5040,refute_0_5140]) ).
cnf(refute_0_5142,plain,
pixley(X_1361,multiply(X_379,inverse(X_1361)),X_1360) = pixley(X_1360,multiply(X_379,inverse(X_1361)),X_1361),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_379,inverse(X_1361))),add(X_1360,X_1361)),add(multiply(inverse(multiply(X_379,inverse(X_1361))),X_1360),X_1361)) )],[refute_0_4991,refute_0_5141]) ).
cnf(refute_0_5143,plain,
pixley(add(X_1158,X_1159),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),X_1371) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),
inference(subst,[],[refute_0_5142:[bind(X_1360,$fot(X_1371)),bind(X_1361,$fot(add(X_1158,X_1159))),bind(X_379,$fot(multiply(X_1157,X_1158)))]]) ).
cnf(refute_0_5144,plain,
pixley(multiply(X_1112,X_1111),inverse(multiply(X_1112,X_1111)),Z) = multiply(X_1112,X_1111),
inference(subst,[],[refute_0_2670:[bind(X,$fot(multiply(X_1112,X_1111)))]]) ).
cnf(refute_0_5145,plain,
inverse(multiply(X_1112,X_1111)) = inverse(multiply(X_1111,X_1112)),
inference(subst,[],[refute_0_3653:[bind(X_281,$fot(X_1111)),bind(X_804,$fot(X_1112))]]) ).
cnf(refute_0_5146,plain,
( inverse(multiply(X_1112,X_1111)) != inverse(multiply(X_1111,X_1112))
| pixley(multiply(X_1112,X_1111),inverse(multiply(X_1112,X_1111)),Z) != multiply(X_1112,X_1111)
| pixley(multiply(X_1112,X_1111),inverse(multiply(X_1111,X_1112)),Z) = multiply(X_1112,X_1111) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_1112,X_1111),inverse(multiply(X_1112,X_1111)),Z),multiply(X_1112,X_1111)) ),[0,1],$fot(inverse(multiply(X_1111,X_1112)))]]) ).
cnf(refute_0_5147,plain,
( pixley(multiply(X_1112,X_1111),inverse(multiply(X_1112,X_1111)),Z) != multiply(X_1112,X_1111)
| pixley(multiply(X_1112,X_1111),inverse(multiply(X_1111,X_1112)),Z) = multiply(X_1112,X_1111) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_1112,X_1111)),inverse(multiply(X_1111,X_1112))) )],[refute_0_5145,refute_0_5146]) ).
cnf(refute_0_5148,plain,
pixley(multiply(X_1112,X_1111),inverse(multiply(X_1111,X_1112)),Z) = multiply(X_1112,X_1111),
inference(resolve,[$cnf( $equal(pixley(multiply(X_1112,X_1111),inverse(multiply(X_1112,X_1111)),Z),multiply(X_1112,X_1111)) )],[refute_0_5144,refute_0_5147]) ).
cnf(refute_0_5149,plain,
pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),
inference(subst,[],[refute_0_5148:[bind(X_1111,$fot(inverse(add(X_1158,X_1159)))),bind(X_1112,$fot(multiply(X_1157,X_1158)))]]) ).
cnf(refute_0_5150,plain,
( multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)) != inverse(n1)
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) != multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))) ),[0,1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_5151,plain,
( pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) != multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),inverse(n1)) )],[refute_0_4067,refute_0_5150]) ).
cnf(refute_0_5152,plain,
pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),
inference(resolve,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))) )],[refute_0_5149,refute_0_5151]) ).
cnf(refute_0_5153,plain,
multiply(Z,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_1943:[bind(X_53,$fot(Z))]]) ).
cnf(refute_0_5154,plain,
multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))))]]) ).
cnf(refute_0_5155,plain,
( multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) != multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)) != inverse(n1)
| multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = multiply(Z,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_5156,plain,
( multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)) != inverse(n1)
| multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = multiply(Z,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) )],[refute_0_5154,refute_0_5155]) ).
cnf(refute_0_5157,plain,
multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = multiply(Z,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),inverse(n1)) )],[refute_0_4067,refute_0_5156]) ).
cnf(refute_0_5158,plain,
( multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) != multiply(Z,inverse(n1))
| multiply(Z,inverse(n1)) != inverse(n1)
| multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))))),bind(Y0,$fot(multiply(Z,inverse(n1)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_5159,plain,
( multiply(Z,inverse(n1)) != inverse(n1)
| multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),multiply(Z,inverse(n1))) )],[refute_0_5157,refute_0_5158]) ).
cnf(refute_0_5160,plain,
multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(Z,inverse(n1)),inverse(n1)) )],[refute_0_5153,refute_0_5159]) ).
cnf(refute_0_5161,plain,
pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),
inference(subst,[],[refute_0_3008:[bind(X,$fot(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))))]]) ).
cnf(refute_0_5162,plain,
pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) = pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z),
inference(subst,[],[refute_0_3642:[bind(Y,$fot(Z)),bind(X_838,$fot(n1)),bind(X_839,$fot(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))))]]) ).
cnf(refute_0_5163,plain,
( pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z) != multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) != pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z)
| pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z))),bind(Y0,$fot(pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z))),bind(Z0,$fot(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))))]]) ).
cnf(refute_0_5164,plain,
( pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z) != multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z),pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z)) )],[refute_0_5162,refute_0_5163]) ).
cnf(refute_0_5165,plain,
pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)),n1,Z),multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) )],[refute_0_5161,refute_0_5164]) ).
cnf(refute_0_5166,plain,
pixley(X_843,inverse(Y),X_841) = pixley(inverse(inverse(Y)),inverse(X_843),X_841),
inference(subst,[],[refute_0_3640:[bind(Y,$fot(X_841)),bind(X_838,$fot(inverse(Y))),bind(X_839,$fot(X_843))]]) ).
cnf(refute_0_5167,plain,
( inverse(inverse(Y)) != Y
| pixley(X_843,inverse(Y),X_841) != pixley(inverse(inverse(Y)),inverse(X_843),X_841)
| pixley(X_843,inverse(Y),X_841) = pixley(Y,inverse(X_843),X_841) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_843,inverse(Y),X_841),pixley(inverse(inverse(Y)),inverse(X_843),X_841)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_5168,plain,
( pixley(X_843,inverse(Y),X_841) != pixley(inverse(inverse(Y)),inverse(X_843),X_841)
| pixley(X_843,inverse(Y),X_841) = pixley(Y,inverse(X_843),X_841) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_5167]) ).
cnf(refute_0_5169,plain,
pixley(X_843,inverse(Y),X_841) = pixley(Y,inverse(X_843),X_841),
inference(resolve,[$cnf( $equal(pixley(X_843,inverse(Y),X_841),pixley(inverse(inverse(Y)),inverse(X_843),X_841)) )],[refute_0_5166,refute_0_5168]) ).
cnf(refute_0_5170,plain,
pixley(multiply(X_1112,X_1111),inverse(Y),X_841) = pixley(Y,inverse(multiply(X_1112,X_1111)),X_841),
inference(subst,[],[refute_0_5169:[bind(X_843,$fot(multiply(X_1112,X_1111)))]]) ).
cnf(refute_0_5171,plain,
( inverse(multiply(X_1112,X_1111)) != inverse(multiply(X_1111,X_1112))
| pixley(multiply(X_1112,X_1111),inverse(Y),X_841) != pixley(Y,inverse(multiply(X_1112,X_1111)),X_841)
| pixley(multiply(X_1112,X_1111),inverse(Y),X_841) = pixley(Y,inverse(multiply(X_1111,X_1112)),X_841) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_1112,X_1111),inverse(Y),X_841),pixley(Y,inverse(multiply(X_1112,X_1111)),X_841)) ),[1,1],$fot(inverse(multiply(X_1111,X_1112)))]]) ).
cnf(refute_0_5172,plain,
( pixley(multiply(X_1112,X_1111),inverse(Y),X_841) != pixley(Y,inverse(multiply(X_1112,X_1111)),X_841)
| pixley(multiply(X_1112,X_1111),inverse(Y),X_841) = pixley(Y,inverse(multiply(X_1111,X_1112)),X_841) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_1112,X_1111)),inverse(multiply(X_1111,X_1112))) )],[refute_0_5145,refute_0_5171]) ).
cnf(refute_0_5173,plain,
pixley(multiply(X_1112,X_1111),inverse(Y),X_841) = pixley(Y,inverse(multiply(X_1111,X_1112)),X_841),
inference(resolve,[$cnf( $equal(pixley(multiply(X_1112,X_1111),inverse(Y),X_841),pixley(Y,inverse(multiply(X_1112,X_1111)),X_841)) )],[refute_0_5170,refute_0_5172]) ).
cnf(refute_0_5174,plain,
pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z),
inference(subst,[],[refute_0_5173:[bind(Y,$fot(inverse(n1))),bind(X_1111,$fot(inverse(add(X_1158,X_1159)))),bind(X_1112,$fot(multiply(X_1157,X_1158))),bind(X_841,$fot(Z))]]) ).
cnf(refute_0_5175,plain,
( pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) != pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z)
| pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) != multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z))),bind(Y0,$fot(pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z))),bind(Z0,$fot(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))))]]) ).
cnf(refute_0_5176,plain,
( pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z) != multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z),pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z)) )],[refute_0_5174,refute_0_5175]) ).
cnf(refute_0_5177,plain,
pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),inverse(multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),Z),multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) )],[refute_0_5165,refute_0_5176]) ).
cnf(refute_0_5178,plain,
( multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) != inverse(n1)
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) != multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = inverse(n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z))),bind(Y0,$fot(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_5179,plain,
( multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))) != inverse(n1)
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = inverse(n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z),multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158)))) )],[refute_0_5177,refute_0_5178]) ).
cnf(refute_0_5180,plain,
pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(add(X_1158,X_1159)),multiply(X_1157,X_1158))),inverse(n1)) )],[refute_0_5160,refute_0_5179]) ).
cnf(refute_0_5181,plain,
( pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) != multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))
| pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) != inverse(n1)
| inverse(n1) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_5182,plain,
( pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z) != multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))
| inverse(n1) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z),inverse(n1)) )],[refute_0_5180,refute_0_5181]) ).
cnf(refute_0_5183,plain,
inverse(n1) = multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),
inference(resolve,[$cnf( $equal(pixley(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(inverse(n1)),Z),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))) )],[refute_0_5152,refute_0_5182]) ).
cnf(refute_0_5184,plain,
( inverse(n1) != multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))
| multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))))]]) ).
cnf(refute_0_5185,plain,
multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159)))) )],[refute_0_5183,refute_0_5184]) ).
cnf(refute_0_5186,plain,
( multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) != inverse(n1)
| pixley(add(X_1158,X_1159),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1158,X_1159),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),X_1371),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) ),[0,1],$fot(inverse(n1))]]) ).
cnf(refute_0_5187,plain,
( pixley(add(X_1158,X_1159),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(n1)) )],[refute_0_5185,refute_0_5186]) ).
cnf(refute_0_5188,plain,
pixley(add(X_1158,X_1159),inverse(n1),X_1371) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),
inference(resolve,[$cnf( $equal(pixley(add(X_1158,X_1159),multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),X_1371),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) )],[refute_0_5143,refute_0_5187]) ).
cnf(refute_0_5189,plain,
inverse(inverse(add(X_1159,X_1158))) = add(X_1159,X_1158),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(X_1159,X_1158)))]]) ).
cnf(refute_0_5190,plain,
add(inverse(inverse(add(X_1159,X_1158))),X_1371) = add(inverse(inverse(add(X_1159,X_1158))),X_1371),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_1159,X_1158))),X_1371))]]) ).
cnf(refute_0_5191,plain,
( add(inverse(inverse(add(X_1159,X_1158))),X_1371) != add(inverse(inverse(add(X_1159,X_1158))),X_1371)
| inverse(inverse(add(X_1159,X_1158))) != add(X_1159,X_1158)
| add(inverse(inverse(add(X_1159,X_1158))),X_1371) = add(add(X_1159,X_1158),X_1371) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_1159,X_1158))),X_1371),add(inverse(inverse(add(X_1159,X_1158))),X_1371)) ),[1,0],$fot(add(X_1159,X_1158))]]) ).
cnf(refute_0_5192,plain,
( inverse(inverse(add(X_1159,X_1158))) != add(X_1159,X_1158)
| add(inverse(inverse(add(X_1159,X_1158))),X_1371) = add(add(X_1159,X_1158),X_1371) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_1159,X_1158))),X_1371),add(inverse(inverse(add(X_1159,X_1158))),X_1371)) )],[refute_0_5190,refute_0_5191]) ).
cnf(refute_0_5193,plain,
add(inverse(inverse(add(X_1159,X_1158))),X_1371) = add(add(X_1159,X_1158),X_1371),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_1159,X_1158))),add(X_1159,X_1158)) )],[refute_0_5189,refute_0_5192]) ).
cnf(refute_0_5194,plain,
multiply(n1,add(inverse(Y),Z)) = add(inverse(Y),Z),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(inverse(Y),Z)))]]) ).
cnf(refute_0_5195,plain,
( multiply(n1,add(inverse(Y),Z)) != add(inverse(Y),Z)
| pixley(n1,Y,Z) != multiply(n1,add(inverse(Y),Z))
| pixley(n1,Y,Z) = add(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,Y,Z),multiply(n1,add(inverse(Y),Z))) ),[1],$fot(add(inverse(Y),Z))]]) ).
cnf(refute_0_5196,plain,
( pixley(n1,Y,Z) != multiply(n1,add(inverse(Y),Z))
| pixley(n1,Y,Z) = add(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(Y),Z)),add(inverse(Y),Z)) )],[refute_0_5194,refute_0_5195]) ).
cnf(refute_0_5197,plain,
pixley(n1,Y,Z) = add(inverse(Y),Z),
inference(resolve,[$cnf( $equal(pixley(n1,Y,Z),multiply(n1,add(inverse(Y),Z))) )],[refute_0_1804,refute_0_5196]) ).
cnf(refute_0_5198,plain,
pixley(n1,inverse(add(X_1159,X_1158)),X_1371) = add(inverse(inverse(add(X_1159,X_1158))),X_1371),
inference(subst,[],[refute_0_5197:[bind(Y,$fot(inverse(add(X_1159,X_1158)))),bind(Z,$fot(X_1371))]]) ).
cnf(refute_0_5199,plain,
pixley(add(X_1098,X_1099),inverse(Y),X_841) = pixley(Y,inverse(add(X_1098,X_1099)),X_841),
inference(subst,[],[refute_0_5169:[bind(X_843,$fot(add(X_1098,X_1099)))]]) ).
cnf(refute_0_5200,plain,
pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))) = inverse(add(X_825,X_824)),
inference(subst,[],[refute_0_3575:[bind(Y,$fot(add(X_825,X_824))),bind(X_796,$fot(add(X_824,X_825)))]]) ).
cnf(refute_0_5201,plain,
pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = add(multiply(add(X_821,X_822),inverse(add(X_822,X_821))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(add(X_821,X_822))),bind(X_262,$fot(inverse(add(X_822,X_821))))]]) ).
cnf(refute_0_5202,plain,
multiply(inverse(add(X_683,X_684)),multiply(inverse(X_684),X_683)) = inverse(n1),
inference(subst,[],[refute_0_3934:[bind(X_312,$fot(X_683)),bind(X_661,$fot(X_684))]]) ).
cnf(refute_0_5203,plain,
add(X_684,X_683) = add(X_683,X_684),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_683)),bind(X_605,$fot(X_684))]]) ).
cnf(refute_0_5204,plain,
( add(X_684,X_683) != add(X_683,X_684)
| add(X_683,X_684) = add(X_684,X_683) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_684,X_683))),bind(Y0,$fot(add(X_683,X_684)))]]) ).
cnf(refute_0_5205,plain,
add(X_683,X_684) = add(X_684,X_683),
inference(resolve,[$cnf( $equal(add(X_684,X_683),add(X_683,X_684)) )],[refute_0_5203,refute_0_5204]) ).
cnf(refute_0_5206,plain,
( multiply(inverse(add(X_683,X_684)),multiply(inverse(X_684),X_683)) != inverse(n1)
| add(X_683,X_684) != add(X_684,X_683)
| multiply(inverse(add(X_684,X_683)),multiply(inverse(X_684),X_683)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_683,X_684)),multiply(inverse(X_684),X_683)),inverse(n1)) ),[0,0,0],$fot(add(X_684,X_683))]]) ).
cnf(refute_0_5207,plain,
( multiply(inverse(add(X_683,X_684)),multiply(inverse(X_684),X_683)) != inverse(n1)
| multiply(inverse(add(X_684,X_683)),multiply(inverse(X_684),X_683)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(X_683,X_684),add(X_684,X_683)) )],[refute_0_5205,refute_0_5206]) ).
cnf(refute_0_5208,plain,
multiply(inverse(add(X_684,X_683)),multiply(inverse(X_684),X_683)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_683,X_684)),multiply(inverse(X_684),X_683)),inverse(n1)) )],[refute_0_5202,refute_0_5207]) ).
cnf(refute_0_5209,plain,
multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_788,X_787))) = inverse(n1),
inference(subst,[],[refute_0_5208:[bind(X_683,$fot(add(X_788,X_787)))]]) ).
cnf(refute_0_5210,plain,
multiply(inverse(X_684),add(X_788,X_787)) = multiply(inverse(X_684),add(X_787,X_788)),
inference(subst,[],[refute_0_3559:[bind(X_774,$fot(X_684)),bind(X_775,$fot(X_787)),bind(X_776,$fot(X_788))]]) ).
cnf(refute_0_5211,plain,
( multiply(inverse(X_684),add(X_788,X_787)) != multiply(inverse(X_684),add(X_787,X_788))
| multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_788,X_787))) != inverse(n1)
| multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_787,X_788))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_788,X_787))),inverse(n1)) ),[0,1],$fot(multiply(inverse(X_684),add(X_787,X_788)))]]) ).
cnf(refute_0_5212,plain,
( multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_788,X_787))) != inverse(n1)
| multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_787,X_788))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_684),add(X_788,X_787)),multiply(inverse(X_684),add(X_787,X_788))) )],[refute_0_5210,refute_0_5211]) ).
cnf(refute_0_5213,plain,
multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_787,X_788))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_684,add(X_788,X_787))),multiply(inverse(X_684),add(X_788,X_787))),inverse(n1)) )],[refute_0_5209,refute_0_5212]) ).
cnf(refute_0_5214,plain,
multiply(inverse(add(add(X_820,X_819),add(X_820,X_819))),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) = inverse(n1),
inference(subst,[],[refute_0_5213:[bind(X_684,$fot(add(X_820,X_819))),bind(X_787,$fot(X_819)),bind(X_788,$fot(X_820))]]) ).
cnf(refute_0_5215,plain,
add(X_820,X_819) = add(add(X_820,X_819),add(X_820,X_819)),
inference(subst,[],[refute_0_1528:[bind(Z,$fot(add(X_820,X_819)))]]) ).
cnf(refute_0_5216,plain,
( add(X_820,X_819) != add(add(X_820,X_819),add(X_820,X_819))
| add(add(X_820,X_819),add(X_820,X_819)) = add(X_820,X_819) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_820,X_819))),bind(Y0,$fot(add(add(X_820,X_819),add(X_820,X_819))))]]) ).
cnf(refute_0_5217,plain,
add(add(X_820,X_819),add(X_820,X_819)) = add(X_820,X_819),
inference(resolve,[$cnf( $equal(add(X_820,X_819),add(add(X_820,X_819),add(X_820,X_819))) )],[refute_0_5215,refute_0_5216]) ).
cnf(refute_0_5218,plain,
( multiply(inverse(add(add(X_820,X_819),add(X_820,X_819))),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) != inverse(n1)
| add(add(X_820,X_819),add(X_820,X_819)) != add(X_820,X_819)
| multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(add(X_820,X_819),add(X_820,X_819))),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))),inverse(n1)) ),[0,0,0],$fot(add(X_820,X_819))]]) ).
cnf(refute_0_5219,plain,
( multiply(inverse(add(add(X_820,X_819),add(X_820,X_819))),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) != inverse(n1)
| multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(add(X_820,X_819),add(X_820,X_819)),add(X_820,X_819)) )],[refute_0_5217,refute_0_5218]) ).
cnf(refute_0_5220,plain,
multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(add(add(X_820,X_819),add(X_820,X_819))),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))),inverse(n1)) )],[refute_0_5214,refute_0_5219]) ).
cnf(refute_0_5221,plain,
multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) = multiply(add(X_819,X_820),inverse(add(X_820,X_819))),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(inverse(add(X_820,X_819)))),bind(X_281,$fot(add(X_819,X_820)))]]) ).
cnf(refute_0_5222,plain,
( multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) != multiply(add(X_819,X_820),inverse(add(X_820,X_819)))
| multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) != inverse(n1)
| multiply(add(X_819,X_820),inverse(add(X_820,X_819))) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))),inverse(n1)) ),[0],$fot(multiply(add(X_819,X_820),inverse(add(X_820,X_819))))]]) ).
cnf(refute_0_5223,plain,
( multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))) != inverse(n1)
| multiply(add(X_819,X_820),inverse(add(X_820,X_819))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))),multiply(add(X_819,X_820),inverse(add(X_820,X_819)))) )],[refute_0_5221,refute_0_5222]) ).
cnf(refute_0_5224,plain,
multiply(add(X_819,X_820),inverse(add(X_820,X_819))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_820,X_819)),multiply(inverse(add(X_820,X_819)),add(X_819,X_820))),inverse(n1)) )],[refute_0_5220,refute_0_5223]) ).
cnf(refute_0_5225,plain,
multiply(add(X_821,X_822),inverse(add(X_822,X_821))) = inverse(n1),
inference(subst,[],[refute_0_5224:[bind(X_819,$fot(X_821)),bind(X_820,$fot(X_822))]]) ).
cnf(refute_0_5226,plain,
( multiply(add(X_821,X_822),inverse(add(X_822,X_821))) != inverse(n1)
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != add(multiply(add(X_821,X_822),inverse(add(X_822,X_821))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),add(multiply(add(X_821,X_822),inverse(add(X_822,X_821))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_5227,plain,
( pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != add(multiply(add(X_821,X_822),inverse(add(X_822,X_821))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_821,X_822),inverse(add(X_822,X_821))),inverse(n1)) )],[refute_0_5225,refute_0_5226]) ).
cnf(refute_0_5228,plain,
pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))),
inference(resolve,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),add(multiply(add(X_821,X_822),inverse(add(X_822,X_821))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))) )],[refute_0_5201,refute_0_5227]) ).
cnf(refute_0_5229,plain,
inverse(inverse(add(X_822,X_821))) = add(X_822,X_821),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(X_822,X_821)))]]) ).
cnf(refute_0_5230,plain,
pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),
introduced(tautology,[refl,[$fot(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z))]]) ).
cnf(refute_0_5231,plain,
( inverse(inverse(add(X_822,X_821))) != add(X_822,X_821)
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z)
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = pixley(add(X_821,X_822),add(X_822,X_821),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z)) ),[1,1],$fot(add(X_822,X_821))]]) ).
cnf(refute_0_5232,plain,
( inverse(inverse(add(X_822,X_821))) != add(X_822,X_821)
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = pixley(add(X_821,X_822),add(X_822,X_821),Z) ),
inference(resolve,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z)) )],[refute_0_5230,refute_0_5231]) ).
cnf(refute_0_5233,plain,
pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) = pixley(add(X_821,X_822),add(X_822,X_821),Z),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_822,X_821))),add(X_822,X_821)) )],[refute_0_5229,refute_0_5232]) ).
cnf(refute_0_5234,plain,
( pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != pixley(add(X_821,X_822),add(X_822,X_821),Z)
| pixley(add(X_821,X_822),add(X_822,X_821),Z) = add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))) ),[0],$fot(pixley(add(X_821,X_822),add(X_822,X_821),Z))]]) ).
cnf(refute_0_5235,plain,
( pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),add(X_822,X_821),Z) = add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) ),
inference(resolve,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),pixley(add(X_821,X_822),add(X_822,X_821),Z)) )],[refute_0_5233,refute_0_5234]) ).
cnf(refute_0_5236,plain,
n1 = add(add(multiply(X_308,X_310),inverse(X_308)),inverse(multiply(X_308,X_310))),
inference(subst,[],[refute_0_3424:[bind(X_377,$fot(multiply(X_308,X_310))),bind(X_407,$fot(inverse(X_308)))]]) ).
cnf(refute_0_5237,plain,
( add(multiply(X_308,X_310),inverse(X_308)) != add(X_310,inverse(X_308))
| n1 != add(add(multiply(X_308,X_310),inverse(X_308)),inverse(multiply(X_308,X_310)))
| n1 = add(add(X_310,inverse(X_308)),inverse(multiply(X_308,X_310))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(add(multiply(X_308,X_310),inverse(X_308)),inverse(multiply(X_308,X_310)))) ),[1,0],$fot(add(X_310,inverse(X_308)))]]) ).
cnf(refute_0_5238,plain,
( n1 != add(add(multiply(X_308,X_310),inverse(X_308)),inverse(multiply(X_308,X_310)))
| n1 = add(add(X_310,inverse(X_308)),inverse(multiply(X_308,X_310))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_308,X_310),inverse(X_308)),add(X_310,inverse(X_308))) )],[refute_0_3043,refute_0_5237]) ).
cnf(refute_0_5239,plain,
n1 = add(add(X_310,inverse(X_308)),inverse(multiply(X_308,X_310))),
inference(resolve,[$cnf( $equal(n1,add(add(multiply(X_308,X_310),inverse(X_308)),inverse(multiply(X_308,X_310)))) )],[refute_0_5236,refute_0_5238]) ).
cnf(refute_0_5240,plain,
n1 = add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)))),
inference(subst,[],[refute_0_5239:[bind(X_308,$fot(add(X_513,inverse(X_514)))),bind(X_310,$fot(pixley(X_513,X_514,n1)))]]) ).
cnf(refute_0_5241,plain,
( multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)) != add(X_513,inverse(X_514))
| n1 != add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1))))
| n1 = add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514)))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1))))) ),[1,1,0],$fot(add(X_513,inverse(X_514)))]]) ).
cnf(refute_0_5242,plain,
( n1 != add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1))))
| n1 = add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1)),add(X_513,inverse(X_514))) )],[refute_0_4655,refute_0_5241]) ).
cnf(refute_0_5243,plain,
n1 = add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514)))),
inference(resolve,[$cnf( $equal(n1,add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(multiply(add(X_513,inverse(X_514)),pixley(X_513,X_514,n1))))) )],[refute_0_5240,refute_0_5242]) ).
cnf(refute_0_5244,plain,
pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309),
inference(subst,[],[refute_0_2713:[bind(Y,$fot(add(X_310,X_309))),bind(X_302,$fot(X_309)),bind(X_303,$fot(X_310))]]) ).
cnf(refute_0_5245,plain,
multiply(add(X_310,X_309),add(X_310,X_309)) = add(X_310,X_309),
inference(subst,[],[refute_0_1333:[bind(X_179,$fot(add(X_310,X_309)))]]) ).
cnf(refute_0_5246,plain,
( multiply(add(X_310,X_309),add(X_310,X_309)) != add(X_310,X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) != add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(add(X_310,X_309),X_309) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309),add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309)) ),[1,0],$fot(add(X_310,X_309))]]) ).
cnf(refute_0_5247,plain,
( pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) != add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(add(X_310,X_309),X_309) ),
inference(resolve,[$cnf( $equal(multiply(add(X_310,X_309),add(X_310,X_309)),add(X_310,X_309)) )],[refute_0_5245,refute_0_5246]) ).
cnf(refute_0_5248,plain,
pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(add(X_310,X_309),X_309),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309),add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309)) )],[refute_0_5244,refute_0_5247]) ).
cnf(refute_0_5249,plain,
multiply(add(X_310,X_309),add(add(X_310,X_309),X_309)) = add(X_310,X_309),
inference(subst,[],[refute_0_2641:[bind(Z,$fot(X_309)),bind(X_26,$fot(add(X_310,X_309)))]]) ).
cnf(refute_0_5250,plain,
pixley(add(X_310,X_309),inverse(X_308),X_309) = add(multiply(add(X_310,X_309),X_308),X_309),
inference(subst,[],[refute_0_2713:[bind(Y,$fot(X_308)),bind(X_302,$fot(X_309)),bind(X_303,$fot(X_310))]]) ).
cnf(refute_0_5251,plain,
multiply(X_308,add(X_310,X_309)) = multiply(add(X_310,X_309),X_308),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(add(X_310,X_309))),bind(X_58,$fot(X_308))]]) ).
cnf(refute_0_5252,plain,
( multiply(X_308,add(X_310,X_309)) != multiply(add(X_310,X_309),X_308)
| multiply(add(X_310,X_309),X_308) = multiply(X_308,add(X_310,X_309)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_308,add(X_310,X_309)))),bind(Y0,$fot(multiply(add(X_310,X_309),X_308)))]]) ).
cnf(refute_0_5253,plain,
multiply(add(X_310,X_309),X_308) = multiply(X_308,add(X_310,X_309)),
inference(resolve,[$cnf( $equal(multiply(X_308,add(X_310,X_309)),multiply(add(X_310,X_309),X_308)) )],[refute_0_5251,refute_0_5252]) ).
cnf(refute_0_5254,plain,
( multiply(add(X_310,X_309),X_308) != multiply(X_308,add(X_310,X_309))
| pixley(add(X_310,X_309),inverse(X_308),X_309) != add(multiply(add(X_310,X_309),X_308),X_309)
| pixley(add(X_310,X_309),inverse(X_308),X_309) = add(multiply(X_308,add(X_310,X_309)),X_309) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_310,X_309),inverse(X_308),X_309),add(multiply(add(X_310,X_309),X_308),X_309)) ),[1,0],$fot(multiply(X_308,add(X_310,X_309)))]]) ).
cnf(refute_0_5255,plain,
( pixley(add(X_310,X_309),inverse(X_308),X_309) != add(multiply(add(X_310,X_309),X_308),X_309)
| pixley(add(X_310,X_309),inverse(X_308),X_309) = add(multiply(X_308,add(X_310,X_309)),X_309) ),
inference(resolve,[$cnf( $equal(multiply(add(X_310,X_309),X_308),multiply(X_308,add(X_310,X_309))) )],[refute_0_5253,refute_0_5254]) ).
cnf(refute_0_5256,plain,
pixley(add(X_310,X_309),inverse(X_308),X_309) = add(multiply(X_308,add(X_310,X_309)),X_309),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(X_308),X_309),add(multiply(add(X_310,X_309),X_308),X_309)) )],[refute_0_5250,refute_0_5255]) ).
cnf(refute_0_5257,plain,
( pixley(add(X_310,X_309),inverse(X_308),X_309) != add(multiply(X_308,add(X_310,X_309)),X_309)
| pixley(add(X_310,X_309),inverse(X_308),X_309) != add(multiply(add(X_310,X_309),X_308),X_309)
| add(multiply(add(X_310,X_309),X_308),X_309) = add(multiply(X_308,add(X_310,X_309)),X_309) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_310,X_309),inverse(X_308),X_309),add(multiply(X_308,add(X_310,X_309)),X_309)) ),[0],$fot(add(multiply(add(X_310,X_309),X_308),X_309))]]) ).
cnf(refute_0_5258,plain,
( pixley(add(X_310,X_309),inverse(X_308),X_309) != add(multiply(X_308,add(X_310,X_309)),X_309)
| add(multiply(add(X_310,X_309),X_308),X_309) = add(multiply(X_308,add(X_310,X_309)),X_309) ),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(X_308),X_309),add(multiply(add(X_310,X_309),X_308),X_309)) )],[refute_0_5250,refute_0_5257]) ).
cnf(refute_0_5259,plain,
add(multiply(X_308,add(X_310,X_309)),X_309) = multiply(add(X_310,X_309),add(X_308,X_309)),
inference(subst,[],[refute_0_2741:[bind(Y,$fot(X_308)),bind(Z,$fot(X_309)),bind(X_250,$fot(X_310))]]) ).
cnf(refute_0_5260,plain,
( add(multiply(X_308,add(X_310,X_309)),X_309) != multiply(add(X_310,X_309),add(X_308,X_309))
| add(multiply(add(X_310,X_309),X_308),X_309) != add(multiply(X_308,add(X_310,X_309)),X_309)
| add(multiply(add(X_310,X_309),X_308),X_309) = multiply(add(X_310,X_309),add(X_308,X_309)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_310,X_309),X_308),X_309),add(multiply(X_308,add(X_310,X_309)),X_309)) ),[1],$fot(multiply(add(X_310,X_309),add(X_308,X_309)))]]) ).
cnf(refute_0_5261,plain,
( add(multiply(add(X_310,X_309),X_308),X_309) != add(multiply(X_308,add(X_310,X_309)),X_309)
| add(multiply(add(X_310,X_309),X_308),X_309) = multiply(add(X_310,X_309),add(X_308,X_309)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_308,add(X_310,X_309)),X_309),multiply(add(X_310,X_309),add(X_308,X_309))) )],[refute_0_5259,refute_0_5260]) ).
cnf(refute_0_5262,plain,
( pixley(add(X_310,X_309),inverse(X_308),X_309) != add(multiply(X_308,add(X_310,X_309)),X_309)
| add(multiply(add(X_310,X_309),X_308),X_309) = multiply(add(X_310,X_309),add(X_308,X_309)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,X_309),X_308),X_309),add(multiply(X_308,add(X_310,X_309)),X_309)) )],[refute_0_5258,refute_0_5261]) ).
cnf(refute_0_5263,plain,
add(multiply(add(X_310,X_309),X_308),X_309) = multiply(add(X_310,X_309),add(X_308,X_309)),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(X_308),X_309),add(multiply(X_308,add(X_310,X_309)),X_309)) )],[refute_0_5256,refute_0_5262]) ).
cnf(refute_0_5264,plain,
add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) = multiply(add(X_310,X_309),add(add(X_310,X_309),X_309)),
inference(subst,[],[refute_0_5263:[bind(X_308,$fot(add(X_310,X_309)))]]) ).
cnf(refute_0_5265,plain,
( multiply(add(X_310,X_309),add(add(X_310,X_309),X_309)) != add(X_310,X_309)
| add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) != multiply(add(X_310,X_309),add(add(X_310,X_309),X_309))
| add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) = add(X_310,X_309) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309))),bind(Y0,$fot(multiply(add(X_310,X_309),add(add(X_310,X_309),X_309)))),bind(Z0,$fot(add(X_310,X_309)))]]) ).
cnf(refute_0_5266,plain,
( multiply(add(X_310,X_309),add(add(X_310,X_309),X_309)) != add(X_310,X_309)
| add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) = add(X_310,X_309) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309),multiply(add(X_310,X_309),add(add(X_310,X_309),X_309))) )],[refute_0_5264,refute_0_5265]) ).
cnf(refute_0_5267,plain,
add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) = add(X_310,X_309),
inference(resolve,[$cnf( $equal(multiply(add(X_310,X_309),add(add(X_310,X_309),X_309)),add(X_310,X_309)) )],[refute_0_5249,refute_0_5266]) ).
cnf(refute_0_5268,plain,
( add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) != add(X_310,X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) != add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(X_310,X_309) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309))),bind(Y0,$fot(add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309))),bind(Z0,$fot(add(X_310,X_309)))]]) ).
cnf(refute_0_5269,plain,
( add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309) != add(X_310,X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(X_310,X_309) ),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309),add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309)) )],[refute_0_5244,refute_0_5268]) ).
cnf(refute_0_5270,plain,
pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) = add(X_310,X_309),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,X_309),add(X_310,X_309)),X_309),add(X_310,X_309)) )],[refute_0_5267,refute_0_5269]) ).
cnf(refute_0_5271,plain,
( pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) != add(X_310,X_309)
| pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) != add(add(X_310,X_309),X_309)
| add(X_310,X_309) = add(add(X_310,X_309),X_309) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309),add(add(X_310,X_309),X_309)) ),[0],$fot(add(X_310,X_309))]]) ).
cnf(refute_0_5272,plain,
( pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309) != add(add(X_310,X_309),X_309)
| add(X_310,X_309) = add(add(X_310,X_309),X_309) ),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309),add(X_310,X_309)) )],[refute_0_5270,refute_0_5271]) ).
cnf(refute_0_5273,plain,
add(X_310,X_309) = add(add(X_310,X_309),X_309),
inference(resolve,[$cnf( $equal(pixley(add(X_310,X_309),inverse(add(X_310,X_309)),X_309),add(add(X_310,X_309),X_309)) )],[refute_0_5248,refute_0_5272]) ).
cnf(refute_0_5274,plain,
( add(X_310,X_309) != add(add(X_310,X_309),X_309)
| add(add(X_310,X_309),X_309) = add(X_310,X_309) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_310,X_309))),bind(Y0,$fot(add(add(X_310,X_309),X_309)))]]) ).
cnf(refute_0_5275,plain,
add(add(X_310,X_309),X_309) = add(X_310,X_309),
inference(resolve,[$cnf( $equal(add(X_310,X_309),add(add(X_310,X_309),X_309)) )],[refute_0_5273,refute_0_5274]) ).
cnf(refute_0_5276,plain,
add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514)))) = add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),
inference(subst,[],[refute_0_5275:[bind(X_309,$fot(inverse(add(X_513,inverse(X_514))))),bind(X_310,$fot(pixley(X_513,X_514,n1)))]]) ).
cnf(refute_0_5277,plain,
( add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514)))) != add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514))))
| n1 != add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514))))
| n1 = add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514))))) ),[1],$fot(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))))]]) ).
cnf(refute_0_5278,plain,
( n1 != add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514))))
| n1 = add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))) ),
inference(resolve,[$cnf( $equal(add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514)))),add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514))))) )],[refute_0_5276,refute_0_5277]) ).
cnf(refute_0_5279,plain,
n1 = add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),
inference(resolve,[$cnf( $equal(n1,add(add(pixley(X_513,X_514,n1),inverse(add(X_513,inverse(X_514)))),inverse(add(X_513,inverse(X_514))))) )],[refute_0_5243,refute_0_5278]) ).
cnf(refute_0_5280,plain,
n1 = add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(multiply(X_281,X_516),inverse(X_516)))),
inference(subst,[],[refute_0_5279:[bind(X_513,$fot(multiply(X_281,X_516))),bind(X_514,$fot(X_516))]]) ).
cnf(refute_0_5281,plain,
add(multiply(X_281,X_516),inverse(X_516)) = add(X_281,inverse(X_516)),
inference(subst,[],[refute_0_3805:[bind(X_311,$fot(X_516))]]) ).
cnf(refute_0_5282,plain,
( add(multiply(X_281,X_516),inverse(X_516)) != add(X_281,inverse(X_516))
| n1 != add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(multiply(X_281,X_516),inverse(X_516))))
| n1 = add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(X_281,inverse(X_516)))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(multiply(X_281,X_516),inverse(X_516))))) ),[1,1,0],$fot(add(X_281,inverse(X_516)))]]) ).
cnf(refute_0_5283,plain,
( n1 != add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(multiply(X_281,X_516),inverse(X_516))))
| n1 = add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(X_281,inverse(X_516)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_516),inverse(X_516)),add(X_281,inverse(X_516))) )],[refute_0_5281,refute_0_5282]) ).
cnf(refute_0_5284,plain,
n1 = add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(X_281,inverse(X_516)))),
inference(resolve,[$cnf( $equal(n1,add(pixley(multiply(X_281,X_516),X_516,n1),inverse(add(multiply(X_281,X_516),inverse(X_516))))) )],[refute_0_5280,refute_0_5283]) ).
cnf(refute_0_5285,plain,
n1 = add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,inverse(inverse(Y))))),
inference(subst,[],[refute_0_5284:[bind(X_281,$fot(X_523)),bind(X_516,$fot(inverse(Y)))]]) ).
cnf(refute_0_5286,plain,
( inverse(inverse(Y)) != Y
| n1 != add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,inverse(inverse(Y)))))
| n1 = add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,inverse(inverse(Y)))))) ),[1,1,0,1],$fot(Y)]]) ).
cnf(refute_0_5287,plain,
( n1 != add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,inverse(inverse(Y)))))
| n1 = add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,Y))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_5286]) ).
cnf(refute_0_5288,plain,
n1 = add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,Y))),
inference(resolve,[$cnf( $equal(n1,add(pixley(multiply(X_523,inverse(Y)),inverse(Y),n1),inverse(add(X_523,inverse(inverse(Y)))))) )],[refute_0_5285,refute_0_5287]) ).
cnf(refute_0_5289,plain,
n1 = add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(add(Y,X_605),Y))),
inference(subst,[],[refute_0_5288:[bind(X_523,$fot(add(Y,X_605)))]]) ).
cnf(refute_0_5290,plain,
( add(add(Y,X_605),Y) != add(Y,X_605)
| n1 != add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(add(Y,X_605),Y)))
| n1 = add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(add(Y,X_605),Y)))) ),[1,1,0],$fot(add(Y,X_605))]]) ).
cnf(refute_0_5291,plain,
( n1 != add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(add(Y,X_605),Y)))
| n1 = add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_605),Y),add(Y,X_605)) )],[refute_0_3414,refute_0_5290]) ).
cnf(refute_0_5292,plain,
n1 = add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))),
inference(resolve,[$cnf( $equal(n1,add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(add(Y,X_605),Y)))) )],[refute_0_5289,refute_0_5291]) ).
cnf(refute_0_5293,plain,
multiply(inverse(Y),add(Y,X_605)) = multiply(inverse(Y),X_605),
inference(subst,[],[refute_0_3457:[bind(Z,$fot(X_605))]]) ).
cnf(refute_0_5294,plain,
pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) = pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1))]]) ).
cnf(refute_0_5295,plain,
( multiply(inverse(Y),add(Y,X_605)) != multiply(inverse(Y),X_605)
| pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) != pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1)
| pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) = pixley(multiply(inverse(Y),X_605),inverse(Y),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1),pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1)) ),[1,0],$fot(multiply(inverse(Y),X_605))]]) ).
cnf(refute_0_5296,plain,
( multiply(inverse(Y),add(Y,X_605)) != multiply(inverse(Y),X_605)
| pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) = pixley(multiply(inverse(Y),X_605),inverse(Y),n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1),pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1)) )],[refute_0_5294,refute_0_5295]) ).
cnf(refute_0_5297,plain,
pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) = pixley(multiply(inverse(Y),X_605),inverse(Y),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(Y,X_605)),multiply(inverse(Y),X_605)) )],[refute_0_5293,refute_0_5296]) ).
cnf(refute_0_5298,plain,
pixley(add(multiply(X_281,X_526),inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1) = pixley(multiply(X_281,X_526),X_526,n1),
inference(subst,[],[refute_0_4825:[bind(X_513,$fot(multiply(X_281,X_526))),bind(X_514,$fot(X_526))]]) ).
cnf(refute_0_5299,plain,
add(multiply(X_281,X_526),inverse(X_526)) = add(X_281,inverse(X_526)),
inference(subst,[],[refute_0_3805:[bind(X_311,$fot(X_526))]]) ).
cnf(refute_0_5300,plain,
( add(multiply(X_281,X_526),inverse(X_526)) != add(X_281,inverse(X_526))
| pixley(add(multiply(X_281,X_526),inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1) != pixley(multiply(X_281,X_526),X_526,n1)
| pixley(add(X_281,inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1) = pixley(multiply(X_281,X_526),X_526,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(X_281,X_526),inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1),pixley(multiply(X_281,X_526),X_526,n1)) ),[0,0],$fot(add(X_281,inverse(X_526)))]]) ).
cnf(refute_0_5301,plain,
( pixley(add(multiply(X_281,X_526),inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1) != pixley(multiply(X_281,X_526),X_526,n1)
| pixley(add(X_281,inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1) = pixley(multiply(X_281,X_526),X_526,n1) ),
inference(resolve,[$cnf( $equal(add(multiply(X_281,X_526),inverse(X_526)),add(X_281,inverse(X_526))) )],[refute_0_5299,refute_0_5300]) ).
cnf(refute_0_5302,plain,
pixley(add(X_281,inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1) = pixley(multiply(X_281,X_526),X_526,n1),
inference(resolve,[$cnf( $equal(pixley(add(multiply(X_281,X_526),inverse(X_526)),inverse(pixley(multiply(X_281,X_526),X_526,n1)),n1),pixley(multiply(X_281,X_526),X_526,n1)) )],[refute_0_5298,refute_0_5301]) ).
cnf(refute_0_5303,plain,
pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_563,X_564),X_564,n1)),n1) = pixley(multiply(X_563,X_564),X_564,n1),
inference(subst,[],[refute_0_5302:[bind(X_281,$fot(X_563)),bind(X_526,$fot(X_564))]]) ).
cnf(refute_0_5304,plain,
multiply(X_564,X_563) = multiply(X_563,X_564),
inference(subst,[],[refute_0_2275:[bind(X_23,$fot(X_563)),bind(X_58,$fot(X_564))]]) ).
cnf(refute_0_5305,plain,
( multiply(X_564,X_563) != multiply(X_563,X_564)
| multiply(X_563,X_564) = multiply(X_564,X_563) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_564,X_563))),bind(Y0,$fot(multiply(X_563,X_564)))]]) ).
cnf(refute_0_5306,plain,
multiply(X_563,X_564) = multiply(X_564,X_563),
inference(resolve,[$cnf( $equal(multiply(X_564,X_563),multiply(X_563,X_564)) )],[refute_0_5304,refute_0_5305]) ).
cnf(refute_0_5307,plain,
( multiply(X_563,X_564) != multiply(X_564,X_563)
| pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_563,X_564),X_564,n1)),n1) != pixley(multiply(X_563,X_564),X_564,n1)
| pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) = pixley(multiply(X_563,X_564),X_564,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_563,X_564),X_564,n1)),n1),pixley(multiply(X_563,X_564),X_564,n1)) ),[0,1,0,0],$fot(multiply(X_564,X_563))]]) ).
cnf(refute_0_5308,plain,
( pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_563,X_564),X_564,n1)),n1) != pixley(multiply(X_563,X_564),X_564,n1)
| pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) = pixley(multiply(X_563,X_564),X_564,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_563,X_564),multiply(X_564,X_563)) )],[refute_0_5306,refute_0_5307]) ).
cnf(refute_0_5309,plain,
pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) = pixley(multiply(X_563,X_564),X_564,n1),
inference(resolve,[$cnf( $equal(pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_563,X_564),X_564,n1)),n1),pixley(multiply(X_563,X_564),X_564,n1)) )],[refute_0_5303,refute_0_5308]) ).
cnf(refute_0_5310,plain,
pixley(add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),
inference(subst,[],[refute_0_4825:[bind(X_513,$fot(multiply(inverse(inverse(X_526)),X_312))),bind(X_514,$fot(X_526))]]) ).
cnf(refute_0_5311,plain,
add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)) = add(X_312,inverse(X_526)),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(inverse(X_526)))]]) ).
cnf(refute_0_5312,plain,
( add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)) != add(X_312,inverse(X_526))
| pixley(add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) ),[0,0],$fot(add(X_312,inverse(X_526)))]]) ).
cnf(refute_0_5313,plain,
( pixley(add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)),add(X_312,inverse(X_526))) )],[refute_0_5311,refute_0_5312]) ).
cnf(refute_0_5314,plain,
pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),
inference(resolve,[$cnf( $equal(pixley(add(multiply(inverse(inverse(X_526)),X_312),inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) )],[refute_0_5310,refute_0_5313]) ).
cnf(refute_0_5315,plain,
inverse(inverse(X_526)) = X_526,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_526))]]) ).
cnf(refute_0_5316,plain,
multiply(inverse(inverse(X_526)),X_312) = multiply(inverse(inverse(X_526)),X_312),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_526)),X_312))]]) ).
cnf(refute_0_5317,plain,
( multiply(inverse(inverse(X_526)),X_312) != multiply(inverse(inverse(X_526)),X_312)
| inverse(inverse(X_526)) != X_526
| multiply(inverse(inverse(X_526)),X_312) = multiply(X_526,X_312) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_526)),X_312),multiply(inverse(inverse(X_526)),X_312)) ),[1,0],$fot(X_526)]]) ).
cnf(refute_0_5318,plain,
( inverse(inverse(X_526)) != X_526
| multiply(inverse(inverse(X_526)),X_312) = multiply(X_526,X_312) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_526)),X_312),multiply(inverse(inverse(X_526)),X_312)) )],[refute_0_5316,refute_0_5317]) ).
cnf(refute_0_5319,plain,
multiply(inverse(inverse(X_526)),X_312) = multiply(X_526,X_312),
inference(resolve,[$cnf( $equal(inverse(inverse(X_526)),X_526) )],[refute_0_5315,refute_0_5318]) ).
cnf(refute_0_5320,plain,
pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1))]]) ).
cnf(refute_0_5321,plain,
( multiply(inverse(inverse(X_526)),X_312) != multiply(X_526,X_312)
| pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) = pixley(multiply(X_526,X_312),X_526,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) ),[1,0],$fot(multiply(X_526,X_312))]]) ).
cnf(refute_0_5322,plain,
( multiply(inverse(inverse(X_526)),X_312) != multiply(X_526,X_312)
| pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) = pixley(multiply(X_526,X_312),X_526,n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) )],[refute_0_5320,refute_0_5321]) ).
cnf(refute_0_5323,plain,
pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) = pixley(multiply(X_526,X_312),X_526,n1),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_526)),X_312),multiply(X_526,X_312)) )],[refute_0_5319,refute_0_5322]) ).
cnf(refute_0_5324,plain,
inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) = inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),
introduced(tautology,[refl,[$fot(inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)))]]) ).
cnf(refute_0_5325,plain,
( inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) != inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1))
| pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) != pixley(multiply(X_526,X_312),X_526,n1)
| inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) = inverse(pixley(multiply(X_526,X_312),X_526,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1))) ),[1,0],$fot(pixley(multiply(X_526,X_312),X_526,n1))]]) ).
cnf(refute_0_5326,plain,
( pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) != pixley(multiply(X_526,X_312),X_526,n1)
| inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) = inverse(pixley(multiply(X_526,X_312),X_526,n1)) ),
inference(resolve,[$cnf( $equal(inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1))) )],[refute_0_5324,refute_0_5325]) ).
cnf(refute_0_5327,plain,
inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) = inverse(pixley(multiply(X_526,X_312),X_526,n1)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),pixley(multiply(X_526,X_312),X_526,n1)) )],[refute_0_5323,refute_0_5326]) ).
cnf(refute_0_5328,plain,
pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),
introduced(tautology,[refl,[$fot(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1))]]) ).
cnf(refute_0_5329,plain,
( inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) != inverse(pixley(multiply(X_526,X_312),X_526,n1))
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1)) ),[1,1],$fot(inverse(pixley(multiply(X_526,X_312),X_526,n1)))]]) ).
cnf(refute_0_5330,plain,
( inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) != inverse(pixley(multiply(X_526,X_312),X_526,n1))
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) ),
inference(resolve,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1)) )],[refute_0_5328,refute_0_5329]) ).
cnf(refute_0_5331,plain,
pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) = pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1),
inference(resolve,[$cnf( $equal(inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),inverse(pixley(multiply(X_526,X_312),X_526,n1))) )],[refute_0_5327,refute_0_5330]) ).
cnf(refute_0_5332,plain,
( pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) ),[0],$fot(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1))]]) ).
cnf(refute_0_5333,plain,
( pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) = pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) ),
inference(resolve,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1)) )],[refute_0_5331,refute_0_5332]) ).
cnf(refute_0_5334,plain,
( pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1) != pixley(multiply(X_526,X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) = pixley(multiply(X_526,X_312),X_526,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) ),[1],$fot(pixley(multiply(X_526,X_312),X_526,n1))]]) ).
cnf(refute_0_5335,plain,
( pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) = pixley(multiply(X_526,X_312),X_526,n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1),pixley(multiply(X_526,X_312),X_526,n1)) )],[refute_0_5323,refute_0_5334]) ).
cnf(refute_0_5336,plain,
( pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1) != pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)
| pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) = pixley(multiply(X_526,X_312),X_526,n1) ),
inference(resolve,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) )],[refute_0_5333,refute_0_5335]) ).
cnf(refute_0_5337,plain,
pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(X_526,X_312),X_526,n1)),n1) = pixley(multiply(X_526,X_312),X_526,n1),
inference(resolve,[$cnf( $equal(pixley(add(X_312,inverse(X_526)),inverse(pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)),n1),pixley(multiply(inverse(inverse(X_526)),X_312),X_526,n1)) )],[refute_0_5314,refute_0_5336]) ).
cnf(refute_0_5338,plain,
pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) = pixley(multiply(X_564,X_563),X_564,n1),
inference(subst,[],[refute_0_5337:[bind(X_312,$fot(X_563)),bind(X_526,$fot(X_564))]]) ).
cnf(refute_0_5339,plain,
( pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) != pixley(multiply(X_563,X_564),X_564,n1)
| pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) != pixley(multiply(X_564,X_563),X_564,n1)
| pixley(multiply(X_564,X_563),X_564,n1) = pixley(multiply(X_563,X_564),X_564,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1),pixley(multiply(X_563,X_564),X_564,n1)) ),[0],$fot(pixley(multiply(X_564,X_563),X_564,n1))]]) ).
cnf(refute_0_5340,plain,
( pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1) != pixley(multiply(X_563,X_564),X_564,n1)
| pixley(multiply(X_564,X_563),X_564,n1) = pixley(multiply(X_563,X_564),X_564,n1) ),
inference(resolve,[$cnf( $equal(pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1),pixley(multiply(X_564,X_563),X_564,n1)) )],[refute_0_5338,refute_0_5339]) ).
cnf(refute_0_5341,plain,
pixley(multiply(X_564,X_563),X_564,n1) = pixley(multiply(X_563,X_564),X_564,n1),
inference(resolve,[$cnf( $equal(pixley(add(X_563,inverse(X_564)),inverse(pixley(multiply(X_564,X_563),X_564,n1)),n1),pixley(multiply(X_563,X_564),X_564,n1)) )],[refute_0_5309,refute_0_5340]) ).
cnf(refute_0_5342,plain,
( pixley(multiply(X_564,X_563),X_564,n1) != pixley(multiply(X_563,X_564),X_564,n1)
| pixley(multiply(X_563,X_564),X_564,n1) = pixley(multiply(X_564,X_563),X_564,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(multiply(X_564,X_563),X_564,n1))),bind(Y0,$fot(pixley(multiply(X_563,X_564),X_564,n1)))]]) ).
cnf(refute_0_5343,plain,
pixley(multiply(X_563,X_564),X_564,n1) = pixley(multiply(X_564,X_563),X_564,n1),
inference(resolve,[$cnf( $equal(pixley(multiply(X_564,X_563),X_564,n1),pixley(multiply(X_563,X_564),X_564,n1)) )],[refute_0_5341,refute_0_5342]) ).
cnf(refute_0_5344,plain,
pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) = pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1),
inference(subst,[],[refute_0_5343:[bind(X_563,$fot(add(Y,X_605))),bind(X_564,$fot(inverse(Y)))]]) ).
cnf(refute_0_5345,plain,
( pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) != pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1)
| pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) != pixley(multiply(inverse(Y),X_605),inverse(Y),n1)
| pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) = pixley(multiply(inverse(Y),X_605),inverse(Y),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1))),bind(Y0,$fot(pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1))),bind(Z0,$fot(pixley(multiply(inverse(Y),X_605),inverse(Y),n1)))]]) ).
cnf(refute_0_5346,plain,
( pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1) != pixley(multiply(inverse(Y),X_605),inverse(Y),n1)
| pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) = pixley(multiply(inverse(Y),X_605),inverse(Y),n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1)) )],[refute_0_5344,refute_0_5345]) ).
cnf(refute_0_5347,plain,
pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) = pixley(multiply(inverse(Y),X_605),inverse(Y),n1),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(Y),add(Y,X_605)),inverse(Y),n1),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) )],[refute_0_5297,refute_0_5346]) ).
cnf(refute_0_5348,plain,
add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) = add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))),
introduced(tautology,[refl,[$fot(add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))))]]) ).
cnf(refute_0_5349,plain,
( add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) != add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))
| pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) != pixley(multiply(inverse(Y),X_605),inverse(Y),n1)
| add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) = add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))),add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))) ),[1,0],$fot(pixley(multiply(inverse(Y),X_605),inverse(Y),n1))]]) ).
cnf(refute_0_5350,plain,
( pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1) != pixley(multiply(inverse(Y),X_605),inverse(Y),n1)
| add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) = add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))) ),
inference(resolve,[$cnf( $equal(add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))),add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))) )],[refute_0_5348,refute_0_5349]) ).
cnf(refute_0_5351,plain,
add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) = add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))),
inference(resolve,[$cnf( $equal(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) )],[refute_0_5347,refute_0_5350]) ).
cnf(refute_0_5352,plain,
( add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))) != add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605)))
| n1 != add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))
| n1 = add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))) ),[1],$fot(add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))))]]) ).
cnf(refute_0_5353,plain,
( n1 != add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))
| n1 = add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))) ),
inference(resolve,[$cnf( $equal(add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605))),add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605)))) )],[refute_0_5351,refute_0_5352]) ).
cnf(refute_0_5354,plain,
n1 = add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))),
inference(resolve,[$cnf( $equal(n1,add(pixley(multiply(add(Y,X_605),inverse(Y)),inverse(Y),n1),inverse(add(Y,X_605)))) )],[refute_0_5292,refute_0_5353]) ).
cnf(refute_0_5355,plain,
add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))) = add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(pixley(multiply(inverse(Y),X_605),inverse(Y),n1))),bind(X_605,$fot(inverse(add(Y,X_605))))]]) ).
cnf(refute_0_5356,plain,
( add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))) != add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))
| n1 != add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605)))
| n1 = add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605)))) ),[1],$fot(add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)))]]) ).
cnf(refute_0_5357,plain,
( n1 != add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605)))
| n1 = add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) ),
inference(resolve,[$cnf( $equal(add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605))),add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))) )],[refute_0_5355,refute_0_5356]) ).
cnf(refute_0_5358,plain,
n1 = add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)),
inference(resolve,[$cnf( $equal(n1,add(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),inverse(add(Y,X_605)))) )],[refute_0_5354,refute_0_5357]) ).
cnf(refute_0_5359,plain,
pixley(multiply(inverse(Y),X_605),inverse(Y),n1) = pixley(Y,inverse(multiply(inverse(Y),X_605)),n1),
inference(subst,[],[refute_0_4315:[bind(X,$fot(Y)),bind(Z,$fot(n1)),bind(X_612,$fot(X_605))]]) ).
cnf(refute_0_5360,plain,
add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) = add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)),
introduced(tautology,[refl,[$fot(add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)))]]) ).
cnf(refute_0_5361,plain,
( add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) != add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))
| pixley(multiply(inverse(Y),X_605),inverse(Y),n1) != pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)
| add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)),add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))) ),[1,1],$fot(pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))]]) ).
cnf(refute_0_5362,plain,
( pixley(multiply(inverse(Y),X_605),inverse(Y),n1) != pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)
| add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)),add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))) )],[refute_0_5360,refute_0_5361]) ).
cnf(refute_0_5363,plain,
add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(Y),X_605),inverse(Y),n1),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) )],[refute_0_5359,refute_0_5362]) ).
cnf(refute_0_5364,plain,
( add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)) != add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))
| n1 != add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))
| n1 = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))) ),[1],$fot(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)))]]) ).
cnf(refute_0_5365,plain,
( n1 != add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))
| n1 = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1)),add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))) )],[refute_0_5363,refute_0_5364]) ).
cnf(refute_0_5366,plain,
n1 = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),
inference(resolve,[$cnf( $equal(n1,add(inverse(add(Y,X_605)),pixley(multiply(inverse(Y),X_605),inverse(Y),n1))) )],[refute_0_5358,refute_0_5365]) ).
cnf(refute_0_5367,plain,
add(inverse(add(Y,X_605)),add(X_605,Y)) = add(add(X_605,Y),inverse(add(Y,X_605))),
inference(subst,[],[refute_0_4884:[bind(X_297,$fot(inverse(add(Y,X_605)))),bind(X_429,$fot(add(X_605,Y)))]]) ).
cnf(refute_0_5368,plain,
multiply(n1,add(X_605,Y)) = add(X_605,Y),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X_605,Y)))]]) ).
cnf(refute_0_5369,plain,
pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) = multiply(n1,add(X_605,Y)),
inference(subst,[],[refute_0_4370:[bind(X_312,$fot(X_605)),bind(X_590,$fot(n1)),bind(X_591,$fot(Y))]]) ).
cnf(refute_0_5370,plain,
( multiply(n1,add(X_605,Y)) != add(X_605,Y)
| pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) != multiply(n1,add(X_605,Y))
| pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) = add(X_605,Y) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))),bind(Y0,$fot(multiply(n1,add(X_605,Y)))),bind(Z0,$fot(add(X_605,Y)))]]) ).
cnf(refute_0_5371,plain,
( multiply(n1,add(X_605,Y)) != add(X_605,Y)
| pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) = add(X_605,Y) ),
inference(resolve,[$cnf( $equal(pixley(Y,inverse(multiply(inverse(Y),X_605)),n1),multiply(n1,add(X_605,Y))) )],[refute_0_5369,refute_0_5370]) ).
cnf(refute_0_5372,plain,
pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) = add(X_605,Y),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_605,Y)),add(X_605,Y)) )],[refute_0_5368,refute_0_5371]) ).
cnf(refute_0_5373,plain,
add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),
introduced(tautology,[refl,[$fot(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)))]]) ).
cnf(refute_0_5374,plain,
( add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) != add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))
| pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) != add(X_605,Y)
| add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(inverse(add(Y,X_605)),add(X_605,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))) ),[1,1],$fot(add(X_605,Y))]]) ).
cnf(refute_0_5375,plain,
( pixley(Y,inverse(multiply(inverse(Y),X_605)),n1) != add(X_605,Y)
| add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(inverse(add(Y,X_605)),add(X_605,Y)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))) )],[refute_0_5373,refute_0_5374]) ).
cnf(refute_0_5376,plain,
add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(inverse(add(Y,X_605)),add(X_605,Y)),
inference(resolve,[$cnf( $equal(pixley(Y,inverse(multiply(inverse(Y),X_605)),n1),add(X_605,Y)) )],[refute_0_5372,refute_0_5375]) ).
cnf(refute_0_5377,plain,
( add(inverse(add(Y,X_605)),add(X_605,Y)) != add(add(X_605,Y),inverse(add(Y,X_605)))
| add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) != add(inverse(add(Y,X_605)),add(X_605,Y))
| add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(add(X_605,Y),inverse(add(Y,X_605))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)))),bind(Y0,$fot(add(inverse(add(Y,X_605)),add(X_605,Y)))),bind(Z0,$fot(add(add(X_605,Y),inverse(add(Y,X_605)))))]]) ).
cnf(refute_0_5378,plain,
( add(inverse(add(Y,X_605)),add(X_605,Y)) != add(add(X_605,Y),inverse(add(Y,X_605)))
| add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(add(X_605,Y),inverse(add(Y,X_605))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),add(inverse(add(Y,X_605)),add(X_605,Y))) )],[refute_0_5376,refute_0_5377]) ).
cnf(refute_0_5379,plain,
add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) = add(add(X_605,Y),inverse(add(Y,X_605))),
inference(resolve,[$cnf( $equal(add(inverse(add(Y,X_605)),add(X_605,Y)),add(add(X_605,Y),inverse(add(Y,X_605)))) )],[refute_0_5367,refute_0_5378]) ).
cnf(refute_0_5380,plain,
( add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)) != add(add(X_605,Y),inverse(add(Y,X_605)))
| n1 != add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))
| n1 = add(add(X_605,Y),inverse(add(Y,X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))) ),[1],$fot(add(add(X_605,Y),inverse(add(Y,X_605))))]]) ).
cnf(refute_0_5381,plain,
( n1 != add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))
| n1 = add(add(X_605,Y),inverse(add(Y,X_605))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1)),add(add(X_605,Y),inverse(add(Y,X_605)))) )],[refute_0_5379,refute_0_5380]) ).
cnf(refute_0_5382,plain,
n1 = add(add(X_605,Y),inverse(add(Y,X_605))),
inference(resolve,[$cnf( $equal(n1,add(inverse(add(Y,X_605)),pixley(Y,inverse(multiply(inverse(Y),X_605)),n1))) )],[refute_0_5366,refute_0_5381]) ).
cnf(refute_0_5383,plain,
( n1 != add(add(X_605,Y),inverse(add(Y,X_605)))
| add(add(X_605,Y),inverse(add(Y,X_605))) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(add(X_605,Y),inverse(add(Y,X_605)))))]]) ).
cnf(refute_0_5384,plain,
add(add(X_605,Y),inverse(add(Y,X_605))) = n1,
inference(resolve,[$cnf( $equal(n1,add(add(X_605,Y),inverse(add(Y,X_605)))) )],[refute_0_5382,refute_0_5383]) ).
cnf(refute_0_5385,plain,
add(add(X_821,X_822),inverse(add(X_822,X_821))) = n1,
inference(subst,[],[refute_0_5384:[bind(Y,$fot(X_822)),bind(X_605,$fot(X_821))]]) ).
cnf(refute_0_5386,plain,
multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))),
introduced(tautology,[refl,[$fot(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))]]) ).
cnf(refute_0_5387,plain,
( multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) != multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))
| add(add(X_821,X_822),inverse(add(X_822,X_821))) != n1
| multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = multiply(Z,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_5388,plain,
( add(add(X_821,X_822),inverse(add(X_822,X_821))) != n1
| multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = multiply(Z,n1) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) )],[refute_0_5386,refute_0_5387]) ).
cnf(refute_0_5389,plain,
multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = multiply(Z,n1),
inference(resolve,[$cnf( $equal(add(add(X_821,X_822),inverse(add(X_822,X_821))),n1) )],[refute_0_5385,refute_0_5388]) ).
cnf(refute_0_5390,plain,
( multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) != multiply(Z,n1)
| multiply(Z,n1) != Z
| multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = Z ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))),bind(Y0,$fot(multiply(Z,n1))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_5391,plain,
( multiply(Z,n1) != Z
| multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))),multiply(Z,n1)) )],[refute_0_5389,refute_0_5390]) ).
cnf(refute_0_5392,plain,
multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) = Z,
inference(resolve,[$cnf( $equal(multiply(Z,n1),Z) )],[refute_0_2013,refute_0_5391]) ).
cnf(refute_0_5393,plain,
add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) = multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))),
inference(subst,[],[refute_0_2011:[bind(X,$fot(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))))]]) ).
cnf(refute_0_5394,plain,
( multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) != Z
| add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) != multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))
| add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) = Z ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))))),bind(Y0,$fot(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_5395,plain,
( multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))) != Z
| add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) = Z ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) )],[refute_0_5393,refute_0_5394]) ).
cnf(refute_0_5396,plain,
add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) = Z,
inference(resolve,[$cnf( $equal(multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))),Z) )],[refute_0_5392,refute_0_5395]) ).
cnf(refute_0_5397,plain,
( add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))) != Z
| pixley(add(X_821,X_822),add(X_822,X_821),Z) != add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),add(X_822,X_821),Z) = Z ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_821,X_822),add(X_822,X_821),Z),add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))) ),[1],$fot(Z)]]) ).
cnf(refute_0_5398,plain,
( pixley(add(X_821,X_822),add(X_822,X_821),Z) != add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),add(X_822,X_821),Z) = Z ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821))))),Z) )],[refute_0_5396,refute_0_5397]) ).
cnf(refute_0_5399,plain,
( pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z) != add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))
| pixley(add(X_821,X_822),add(X_822,X_821),Z) = Z ),
inference(resolve,[$cnf( $equal(pixley(add(X_821,X_822),add(X_822,X_821),Z),add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))) )],[refute_0_5235,refute_0_5398]) ).
cnf(refute_0_5400,plain,
pixley(add(X_821,X_822),add(X_822,X_821),Z) = Z,
inference(resolve,[$cnf( $equal(pixley(add(X_821,X_822),inverse(inverse(add(X_822,X_821))),Z),add(inverse(n1),multiply(Z,add(add(X_821,X_822),inverse(add(X_822,X_821)))))) )],[refute_0_5228,refute_0_5399]) ).
cnf(refute_0_5401,plain,
pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))) = inverse(add(X_824,X_825)),
inference(subst,[],[refute_0_5400:[bind(Z,$fot(inverse(add(X_824,X_825)))),bind(X_821,$fot(X_824)),bind(X_822,$fot(X_825))]]) ).
cnf(refute_0_5402,plain,
( pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))) != inverse(add(X_824,X_825))
| pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))) != inverse(add(X_825,X_824))
| inverse(add(X_824,X_825)) = inverse(add(X_825,X_824)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))),inverse(add(X_825,X_824))) ),[0],$fot(inverse(add(X_824,X_825)))]]) ).
cnf(refute_0_5403,plain,
( pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))) != inverse(add(X_825,X_824))
| inverse(add(X_824,X_825)) = inverse(add(X_825,X_824)) ),
inference(resolve,[$cnf( $equal(pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))),inverse(add(X_824,X_825))) )],[refute_0_5401,refute_0_5402]) ).
cnf(refute_0_5404,plain,
inverse(add(X_824,X_825)) = inverse(add(X_825,X_824)),
inference(resolve,[$cnf( $equal(pixley(add(X_824,X_825),add(X_825,X_824),inverse(add(X_824,X_825))),inverse(add(X_825,X_824))) )],[refute_0_5200,refute_0_5403]) ).
cnf(refute_0_5405,plain,
inverse(add(X_1098,X_1099)) = inverse(add(X_1099,X_1098)),
inference(subst,[],[refute_0_5404:[bind(X_824,$fot(X_1098)),bind(X_825,$fot(X_1099))]]) ).
cnf(refute_0_5406,plain,
( inverse(add(X_1098,X_1099)) != inverse(add(X_1099,X_1098))
| pixley(add(X_1098,X_1099),inverse(Y),X_841) != pixley(Y,inverse(add(X_1098,X_1099)),X_841)
| pixley(add(X_1098,X_1099),inverse(Y),X_841) = pixley(Y,inverse(add(X_1099,X_1098)),X_841) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1098,X_1099),inverse(Y),X_841),pixley(Y,inverse(add(X_1098,X_1099)),X_841)) ),[1,1],$fot(inverse(add(X_1099,X_1098)))]]) ).
cnf(refute_0_5407,plain,
( pixley(add(X_1098,X_1099),inverse(Y),X_841) != pixley(Y,inverse(add(X_1098,X_1099)),X_841)
| pixley(add(X_1098,X_1099),inverse(Y),X_841) = pixley(Y,inverse(add(X_1099,X_1098)),X_841) ),
inference(resolve,[$cnf( $equal(inverse(add(X_1098,X_1099)),inverse(add(X_1099,X_1098))) )],[refute_0_5405,refute_0_5406]) ).
cnf(refute_0_5408,plain,
pixley(add(X_1098,X_1099),inverse(Y),X_841) = pixley(Y,inverse(add(X_1099,X_1098)),X_841),
inference(resolve,[$cnf( $equal(pixley(add(X_1098,X_1099),inverse(Y),X_841),pixley(Y,inverse(add(X_1098,X_1099)),X_841)) )],[refute_0_5199,refute_0_5407]) ).
cnf(refute_0_5409,plain,
pixley(add(X_1158,X_1159),inverse(n1),X_1371) = pixley(n1,inverse(add(X_1159,X_1158)),X_1371),
inference(subst,[],[refute_0_5408:[bind(Y,$fot(n1)),bind(X_1098,$fot(X_1158)),bind(X_1099,$fot(X_1159)),bind(X_841,$fot(X_1371))]]) ).
cnf(refute_0_5410,plain,
( pixley(add(X_1158,X_1159),inverse(n1),X_1371) != pixley(n1,inverse(add(X_1159,X_1158)),X_1371)
| pixley(n1,inverse(add(X_1159,X_1158)),X_1371) != add(inverse(inverse(add(X_1159,X_1158))),X_1371)
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) = add(inverse(inverse(add(X_1159,X_1158))),X_1371) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_1158,X_1159),inverse(n1),X_1371))),bind(Y0,$fot(pixley(n1,inverse(add(X_1159,X_1158)),X_1371))),bind(Z0,$fot(add(inverse(inverse(add(X_1159,X_1158))),X_1371)))]]) ).
cnf(refute_0_5411,plain,
( pixley(n1,inverse(add(X_1159,X_1158)),X_1371) != add(inverse(inverse(add(X_1159,X_1158))),X_1371)
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) = add(inverse(inverse(add(X_1159,X_1158))),X_1371) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1158,X_1159),inverse(n1),X_1371),pixley(n1,inverse(add(X_1159,X_1158)),X_1371)) )],[refute_0_5409,refute_0_5410]) ).
cnf(refute_0_5412,plain,
pixley(add(X_1158,X_1159),inverse(n1),X_1371) = add(inverse(inverse(add(X_1159,X_1158))),X_1371),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(add(X_1159,X_1158)),X_1371),add(inverse(inverse(add(X_1159,X_1158))),X_1371)) )],[refute_0_5198,refute_0_5411]) ).
cnf(refute_0_5413,plain,
( add(inverse(inverse(add(X_1159,X_1158))),X_1371) != add(add(X_1159,X_1158),X_1371)
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) != add(inverse(inverse(add(X_1159,X_1158))),X_1371)
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) = add(add(X_1159,X_1158),X_1371) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_1158,X_1159),inverse(n1),X_1371))),bind(Y0,$fot(add(inverse(inverse(add(X_1159,X_1158))),X_1371))),bind(Z0,$fot(add(add(X_1159,X_1158),X_1371)))]]) ).
cnf(refute_0_5414,plain,
( add(inverse(inverse(add(X_1159,X_1158))),X_1371) != add(add(X_1159,X_1158),X_1371)
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) = add(add(X_1159,X_1158),X_1371) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1158,X_1159),inverse(n1),X_1371),add(inverse(inverse(add(X_1159,X_1158))),X_1371)) )],[refute_0_5412,refute_0_5413]) ).
cnf(refute_0_5415,plain,
pixley(add(X_1158,X_1159),inverse(n1),X_1371) = add(add(X_1159,X_1158),X_1371),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_1159,X_1158))),X_1371),add(add(X_1159,X_1158),X_1371)) )],[refute_0_5193,refute_0_5414]) ).
cnf(refute_0_5416,plain,
( pixley(add(X_1158,X_1159),inverse(n1),X_1371) != add(add(X_1159,X_1158),X_1371)
| pixley(add(X_1158,X_1159),inverse(n1),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| add(add(X_1159,X_1158),X_1371) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_1158,X_1159),inverse(n1),X_1371),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) ),[0],$fot(add(add(X_1159,X_1158),X_1371))]]) ).
cnf(refute_0_5417,plain,
( pixley(add(X_1158,X_1159),inverse(n1),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| add(add(X_1159,X_1158),X_1371) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) ),
inference(resolve,[$cnf( $equal(pixley(add(X_1158,X_1159),inverse(n1),X_1371),add(add(X_1159,X_1158),X_1371)) )],[refute_0_5415,refute_0_5416]) ).
cnf(refute_0_5418,plain,
pixley(X,inverse(n1),Z) = add(multiply(X,inverse(inverse(n1))),multiply(Z,add(X,inverse(inverse(n1))))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_5419,plain,
( inverse(inverse(n1)) != n1
| pixley(X,inverse(n1),Z) != add(multiply(X,inverse(inverse(n1))),multiply(Z,add(X,inverse(inverse(n1)))))
| pixley(X,inverse(n1),Z) = add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(n1),Z),add(multiply(X,inverse(inverse(n1))),multiply(Z,add(X,inverse(inverse(n1)))))) ),[1,0,1],$fot(n1)]]) ).
cnf(refute_0_5420,plain,
( pixley(X,inverse(n1),Z) != add(multiply(X,inverse(inverse(n1))),multiply(Z,add(X,inverse(inverse(n1)))))
| pixley(X,inverse(n1),Z) = add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_695,refute_0_5419]) ).
cnf(refute_0_5421,plain,
pixley(X,inverse(n1),Z) = add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(n1),Z),add(multiply(X,inverse(inverse(n1))),multiply(Z,add(X,inverse(inverse(n1)))))) )],[refute_0_5418,refute_0_5420]) ).
cnf(refute_0_5422,plain,
multiply(Z,add(X,inverse(inverse(n1)))) = multiply(Z,add(X,inverse(inverse(n1)))),
introduced(tautology,[refl,[$fot(multiply(Z,add(X,inverse(inverse(n1)))))]]) ).
cnf(refute_0_5423,plain,
( multiply(Z,add(X,inverse(inverse(n1)))) != multiply(Z,add(X,inverse(inverse(n1))))
| add(X,inverse(inverse(n1))) != add(X,n1)
| multiply(Z,add(X,inverse(inverse(n1)))) = multiply(Z,add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(n1)))),multiply(Z,add(X,inverse(inverse(n1))))) ),[1,1],$fot(add(X,n1))]]) ).
cnf(refute_0_5424,plain,
( add(X,inverse(inverse(n1))) != add(X,n1)
| multiply(Z,add(X,inverse(inverse(n1)))) = multiply(Z,add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(n1)))),multiply(Z,add(X,inverse(inverse(n1))))) )],[refute_0_5422,refute_0_5423]) ).
cnf(refute_0_5425,plain,
multiply(Z,add(X,inverse(inverse(n1)))) = multiply(Z,add(X,n1)),
inference(resolve,[$cnf( $equal(add(X,inverse(inverse(n1))),add(X,n1)) )],[refute_0_989,refute_0_5424]) ).
cnf(refute_0_5426,plain,
add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) = add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))),
introduced(tautology,[refl,[$fot(add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))))]]) ).
cnf(refute_0_5427,plain,
( multiply(Z,add(X,inverse(inverse(n1)))) != multiply(Z,add(X,n1))
| add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) != add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))
| add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) = add(multiply(X,n1),multiply(Z,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))),add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))) ),[1,1],$fot(multiply(Z,add(X,n1)))]]) ).
cnf(refute_0_5428,plain,
( multiply(Z,add(X,inverse(inverse(n1)))) != multiply(Z,add(X,n1))
| add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) = add(multiply(X,n1),multiply(Z,add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))),add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))) )],[refute_0_5426,refute_0_5427]) ).
cnf(refute_0_5429,plain,
add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) = add(multiply(X,n1),multiply(Z,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,inverse(inverse(n1)))),multiply(Z,add(X,n1))) )],[refute_0_5425,refute_0_5428]) ).
cnf(refute_0_5430,plain,
( add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))) != add(multiply(X,n1),multiply(Z,add(X,n1)))
| pixley(X,inverse(n1),Z) != add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))
| pixley(X,inverse(n1),Z) = add(multiply(X,n1),multiply(Z,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(n1),Z),add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))) ),[1],$fot(add(multiply(X,n1),multiply(Z,add(X,n1))))]]) ).
cnf(refute_0_5431,plain,
( pixley(X,inverse(n1),Z) != add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))
| pixley(X,inverse(n1),Z) = add(multiply(X,n1),multiply(Z,add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1))))),add(multiply(X,n1),multiply(Z,add(X,n1)))) )],[refute_0_5429,refute_0_5430]) ).
cnf(refute_0_5432,plain,
pixley(X,inverse(n1),Z) = add(multiply(X,n1),multiply(Z,add(X,n1))),
inference(resolve,[$cnf( $equal(pixley(X,inverse(n1),Z),add(multiply(X,n1),multiply(Z,add(X,inverse(inverse(n1)))))) )],[refute_0_5421,refute_0_5431]) ).
cnf(refute_0_5433,plain,
add(multiply(X,n1),multiply(Z,n1)) = multiply(n1,add(X,Z)),
inference(subst,[],[refute_0_4:[bind(X,$fot(n1)),bind(Y,$fot(X))]]) ).
cnf(refute_0_5434,plain,
multiply(Z,add(X,n1)) = multiply(Z,add(X,n1)),
introduced(tautology,[refl,[$fot(multiply(Z,add(X,n1)))]]) ).
cnf(refute_0_5435,plain,
( multiply(Z,add(X,n1)) != multiply(Z,add(X,n1))
| add(X,n1) != n1
| multiply(Z,add(X,n1)) = multiply(Z,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(X,n1)),multiply(Z,add(X,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_5436,plain,
( add(X,n1) != n1
| multiply(Z,add(X,n1)) = multiply(Z,n1) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,n1)),multiply(Z,add(X,n1))) )],[refute_0_5434,refute_0_5435]) ).
cnf(refute_0_5437,plain,
multiply(Z,add(X,n1)) = multiply(Z,n1),
inference(resolve,[$cnf( $equal(add(X,n1),n1) )],[refute_0_1307,refute_0_5436]) ).
cnf(refute_0_5438,plain,
add(multiply(X,n1),multiply(Z,add(X,n1))) = add(multiply(X,n1),multiply(Z,add(X,n1))),
introduced(tautology,[refl,[$fot(add(multiply(X,n1),multiply(Z,add(X,n1))))]]) ).
cnf(refute_0_5439,plain,
( multiply(Z,add(X,n1)) != multiply(Z,n1)
| add(multiply(X,n1),multiply(Z,add(X,n1))) != add(multiply(X,n1),multiply(Z,add(X,n1)))
| add(multiply(X,n1),multiply(Z,add(X,n1))) = add(multiply(X,n1),multiply(Z,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,n1))),add(multiply(X,n1),multiply(Z,add(X,n1)))) ),[1,1],$fot(multiply(Z,n1))]]) ).
cnf(refute_0_5440,plain,
( multiply(Z,add(X,n1)) != multiply(Z,n1)
| add(multiply(X,n1),multiply(Z,add(X,n1))) = add(multiply(X,n1),multiply(Z,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,n1))),add(multiply(X,n1),multiply(Z,add(X,n1)))) )],[refute_0_5438,refute_0_5439]) ).
cnf(refute_0_5441,plain,
add(multiply(X,n1),multiply(Z,add(X,n1))) = add(multiply(X,n1),multiply(Z,n1)),
inference(resolve,[$cnf( $equal(multiply(Z,add(X,n1)),multiply(Z,n1)) )],[refute_0_5437,refute_0_5440]) ).
cnf(refute_0_5442,plain,
( add(multiply(X,n1),multiply(Z,add(X,n1))) != add(multiply(X,n1),multiply(Z,n1))
| add(multiply(X,n1),multiply(Z,n1)) != multiply(n1,add(X,Z))
| add(multiply(X,n1),multiply(Z,add(X,n1))) = multiply(n1,add(X,Z)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X,n1),multiply(Z,add(X,n1))))),bind(Y0,$fot(add(multiply(X,n1),multiply(Z,n1)))),bind(Z0,$fot(multiply(n1,add(X,Z))))]]) ).
cnf(refute_0_5443,plain,
( add(multiply(X,n1),multiply(Z,n1)) != multiply(n1,add(X,Z))
| add(multiply(X,n1),multiply(Z,add(X,n1))) = multiply(n1,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,n1))),add(multiply(X,n1),multiply(Z,n1))) )],[refute_0_5441,refute_0_5442]) ).
cnf(refute_0_5444,plain,
add(multiply(X,n1),multiply(Z,add(X,n1))) = multiply(n1,add(X,Z)),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,n1)),multiply(n1,add(X,Z))) )],[refute_0_5433,refute_0_5443]) ).
cnf(refute_0_5445,plain,
( add(multiply(X,n1),multiply(Z,add(X,n1))) != multiply(n1,add(X,Z))
| pixley(X,inverse(n1),Z) != add(multiply(X,n1),multiply(Z,add(X,n1)))
| pixley(X,inverse(n1),Z) = multiply(n1,add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(n1),Z),add(multiply(X,n1),multiply(Z,add(X,n1)))) ),[1],$fot(multiply(n1,add(X,Z)))]]) ).
cnf(refute_0_5446,plain,
( pixley(X,inverse(n1),Z) != add(multiply(X,n1),multiply(Z,add(X,n1)))
| pixley(X,inverse(n1),Z) = multiply(n1,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),multiply(Z,add(X,n1))),multiply(n1,add(X,Z))) )],[refute_0_5444,refute_0_5445]) ).
cnf(refute_0_5447,plain,
pixley(X,inverse(n1),Z) = multiply(n1,add(X,Z)),
inference(resolve,[$cnf( $equal(pixley(X,inverse(n1),Z),add(multiply(X,n1),multiply(Z,add(X,n1)))) )],[refute_0_5432,refute_0_5446]) ).
cnf(refute_0_5448,plain,
multiply(n1,add(X,Z)) = add(X,Z),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X,Z)))]]) ).
cnf(refute_0_5449,plain,
( multiply(n1,add(X,Z)) != add(X,Z)
| pixley(X,inverse(n1),Z) != multiply(n1,add(X,Z))
| pixley(X,inverse(n1),Z) = add(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(n1),Z),multiply(n1,add(X,Z))) ),[1],$fot(add(X,Z))]]) ).
cnf(refute_0_5450,plain,
( pixley(X,inverse(n1),Z) != multiply(n1,add(X,Z))
| pixley(X,inverse(n1),Z) = add(X,Z) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,Z)),add(X,Z)) )],[refute_0_5448,refute_0_5449]) ).
cnf(refute_0_5451,plain,
pixley(X,inverse(n1),Z) = add(X,Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(n1),Z),multiply(n1,add(X,Z))) )],[refute_0_5447,refute_0_5450]) ).
cnf(refute_0_5452,plain,
pixley(X_1371,inverse(n1),add(X_1158,X_1159)) = add(X_1371,add(X_1158,X_1159)),
inference(subst,[],[refute_0_5451:[bind(X,$fot(X_1371)),bind(Z,$fot(add(X_1158,X_1159)))]]) ).
cnf(refute_0_5453,plain,
pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),
introduced(tautology,[refl,[$fot(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)))]]) ).
cnf(refute_0_5454,plain,
( multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) != inverse(n1)
| pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = pixley(X_1371,inverse(n1),add(X_1158,X_1159)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_5455,plain,
( multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))) != inverse(n1)
| pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = pixley(X_1371,inverse(n1),add(X_1158,X_1159)) ),
inference(resolve,[$cnf( $equal(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) )],[refute_0_5453,refute_0_5454]) ).
cnf(refute_0_5456,plain,
pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = pixley(X_1371,inverse(n1),add(X_1158,X_1159)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),inverse(n1)) )],[refute_0_5185,refute_0_5455]) ).
cnf(refute_0_5457,plain,
( pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) != pixley(X_1371,inverse(n1),add(X_1158,X_1159))
| pixley(X_1371,inverse(n1),add(X_1158,X_1159)) != add(X_1371,add(X_1158,X_1159))
| pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = add(X_1371,add(X_1158,X_1159)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)))),bind(Y0,$fot(pixley(X_1371,inverse(n1),add(X_1158,X_1159)))),bind(Z0,$fot(add(X_1371,add(X_1158,X_1159))))]]) ).
cnf(refute_0_5458,plain,
( pixley(X_1371,inverse(n1),add(X_1158,X_1159)) != add(X_1371,add(X_1158,X_1159))
| pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = add(X_1371,add(X_1158,X_1159)) ),
inference(resolve,[$cnf( $equal(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),pixley(X_1371,inverse(n1),add(X_1158,X_1159))) )],[refute_0_5456,refute_0_5457]) ).
cnf(refute_0_5459,plain,
pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) = add(X_1371,add(X_1158,X_1159)),
inference(resolve,[$cnf( $equal(pixley(X_1371,inverse(n1),add(X_1158,X_1159)),add(X_1371,add(X_1158,X_1159))) )],[refute_0_5452,refute_0_5458]) ).
cnf(refute_0_5460,plain,
( add(add(X_1159,X_1158),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)) != add(X_1371,add(X_1158,X_1159))
| add(add(X_1159,X_1158),X_1371) = add(X_1371,add(X_1158,X_1159)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_1159,X_1158),X_1371),add(X_1371,add(X_1158,X_1159))) ),[0],$fot(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)))]]) ).
cnf(refute_0_5461,plain,
( add(add(X_1159,X_1158),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| add(add(X_1159,X_1158),X_1371) = add(X_1371,add(X_1158,X_1159)) ),
inference(resolve,[$cnf( $equal(pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159)),add(X_1371,add(X_1158,X_1159))) )],[refute_0_5459,refute_0_5460]) ).
cnf(refute_0_5462,plain,
( pixley(add(X_1158,X_1159),inverse(n1),X_1371) != pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))
| add(add(X_1159,X_1158),X_1371) = add(X_1371,add(X_1158,X_1159)) ),
inference(resolve,[$cnf( $equal(add(add(X_1159,X_1158),X_1371),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) )],[refute_0_5417,refute_0_5461]) ).
cnf(refute_0_5463,plain,
add(add(X_1159,X_1158),X_1371) = add(X_1371,add(X_1158,X_1159)),
inference(resolve,[$cnf( $equal(pixley(add(X_1158,X_1159),inverse(n1),X_1371),pixley(X_1371,multiply(multiply(X_1157,X_1158),inverse(add(X_1158,X_1159))),add(X_1158,X_1159))) )],[refute_0_5188,refute_0_5462]) ).
cnf(refute_0_5464,plain,
add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))),
inference(subst,[],[refute_0_5463:[bind(X_1158,$fot(X_1379)),bind(X_1159,$fot(multiply(X_1380,inverse(inverse(X_605))))),bind(X_1371,$fot(X_605))]]) ).
cnf(refute_0_5465,plain,
( add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) != add(X_605,add(X_1379,multiply(X_1380,X_605)))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605)))))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,add(X_1379,multiply(X_1380,X_605))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605))),bind(Y0,$fot(add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))))),bind(Z0,$fot(add(X_605,add(X_1379,multiply(X_1380,X_605)))))]]) ).
cnf(refute_0_5466,plain,
( add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))) != add(X_605,add(X_1379,multiply(X_1380,X_605)))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,add(X_1379,multiply(X_1380,X_605))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605),add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605)))))) )],[refute_0_5464,refute_0_5465]) ).
cnf(refute_0_5467,plain,
add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) = add(X_605,add(X_1379,multiply(X_1380,X_605))),
inference(resolve,[$cnf( $equal(add(X_605,add(X_1379,multiply(X_1380,inverse(inverse(X_605))))),add(X_605,add(X_1379,multiply(X_1380,X_605)))) )],[refute_0_4981,refute_0_5466]) ).
cnf(refute_0_5468,plain,
( add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,multiply(X_1379,inverse(X_605)))
| add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,add(X_1379,multiply(X_1380,X_605)))
| add(X_605,add(X_1379,multiply(X_1380,X_605))) = add(X_605,multiply(X_1379,inverse(X_605))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605),add(X_605,multiply(X_1379,inverse(X_605)))) ),[0],$fot(add(X_605,add(X_1379,multiply(X_1380,X_605))))]]) ).
cnf(refute_0_5469,plain,
( add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,multiply(X_1379,inverse(X_605)))
| add(X_605,add(X_1379,multiply(X_1380,X_605))) = add(X_605,multiply(X_1379,inverse(X_605))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605),add(X_605,add(X_1379,multiply(X_1380,X_605)))) )],[refute_0_5467,refute_0_5468]) ).
cnf(refute_0_5470,plain,
add(multiply(inverse(X_313),multiply(inverse(X_313),X_281)),X_313) = add(multiply(inverse(X_313),X_281),X_313),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_313)),bind(X_312,$fot(multiply(inverse(X_313),X_281)))]]) ).
cnf(refute_0_5471,plain,
multiply(inverse(X_313),multiply(inverse(X_313),X_281)) = multiply(X_281,inverse(X_313)),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(inverse(X_313)))]]) ).
cnf(refute_0_5472,plain,
( multiply(inverse(X_313),multiply(inverse(X_313),X_281)) != multiply(X_281,inverse(X_313))
| add(multiply(inverse(X_313),multiply(inverse(X_313),X_281)),X_313) != add(multiply(inverse(X_313),X_281),X_313)
| add(multiply(X_281,inverse(X_313)),X_313) = add(multiply(inverse(X_313),X_281),X_313) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_313),multiply(inverse(X_313),X_281)),X_313),add(multiply(inverse(X_313),X_281),X_313)) ),[0,0],$fot(multiply(X_281,inverse(X_313)))]]) ).
cnf(refute_0_5473,plain,
( add(multiply(inverse(X_313),multiply(inverse(X_313),X_281)),X_313) != add(multiply(inverse(X_313),X_281),X_313)
| add(multiply(X_281,inverse(X_313)),X_313) = add(multiply(inverse(X_313),X_281),X_313) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_313),multiply(inverse(X_313),X_281)),multiply(X_281,inverse(X_313))) )],[refute_0_5471,refute_0_5472]) ).
cnf(refute_0_5474,plain,
add(multiply(X_281,inverse(X_313)),X_313) = add(multiply(inverse(X_313),X_281),X_313),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_313),multiply(inverse(X_313),X_281)),X_313),add(multiply(inverse(X_313),X_281),X_313)) )],[refute_0_5470,refute_0_5473]) ).
cnf(refute_0_5475,plain,
add(multiply(inverse(X_313),X_281),X_313) = add(X_281,X_313),
inference(subst,[],[refute_0_3174:[bind(Y,$fot(X_313)),bind(X_312,$fot(X_281))]]) ).
cnf(refute_0_5476,plain,
( add(multiply(X_281,inverse(X_313)),X_313) != add(multiply(inverse(X_313),X_281),X_313)
| add(multiply(inverse(X_313),X_281),X_313) != add(X_281,X_313)
| add(multiply(X_281,inverse(X_313)),X_313) = add(X_281,X_313) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_281,inverse(X_313)),X_313),add(X_281,X_313)) ),[0],$fot(add(multiply(inverse(X_313),X_281),X_313))]]) ).
cnf(refute_0_5477,plain,
( add(multiply(X_281,inverse(X_313)),X_313) != add(multiply(inverse(X_313),X_281),X_313)
| add(multiply(X_281,inverse(X_313)),X_313) = add(X_281,X_313) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_313),X_281),X_313),add(X_281,X_313)) )],[refute_0_5475,refute_0_5476]) ).
cnf(refute_0_5478,plain,
add(multiply(X_281,inverse(X_313)),X_313) = add(X_281,X_313),
inference(resolve,[$cnf( $equal(add(multiply(X_281,inverse(X_313)),X_313),add(multiply(inverse(X_313),X_281),X_313)) )],[refute_0_5474,refute_0_5477]) ).
cnf(refute_0_5479,plain,
add(multiply(X_281,inverse(X_313)),X_313) = add(X_313,multiply(X_281,inverse(X_313))),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(multiply(X_281,inverse(X_313)))),bind(X_605,$fot(X_313))]]) ).
cnf(refute_0_5480,plain,
( add(multiply(X_281,inverse(X_313)),X_313) != add(X_281,X_313)
| add(multiply(X_281,inverse(X_313)),X_313) != add(X_313,multiply(X_281,inverse(X_313)))
| add(X_313,multiply(X_281,inverse(X_313))) = add(X_281,X_313) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_281,inverse(X_313)),X_313),add(X_281,X_313)) ),[0],$fot(add(X_313,multiply(X_281,inverse(X_313))))]]) ).
cnf(refute_0_5481,plain,
( add(multiply(X_281,inverse(X_313)),X_313) != add(X_281,X_313)
| add(X_313,multiply(X_281,inverse(X_313))) = add(X_281,X_313) ),
inference(resolve,[$cnf( $equal(add(multiply(X_281,inverse(X_313)),X_313),add(X_313,multiply(X_281,inverse(X_313)))) )],[refute_0_5479,refute_0_5480]) ).
cnf(refute_0_5482,plain,
add(X_313,multiply(X_281,inverse(X_313))) = add(X_281,X_313),
inference(resolve,[$cnf( $equal(add(multiply(X_281,inverse(X_313)),X_313),add(X_281,X_313)) )],[refute_0_5478,refute_0_5481]) ).
cnf(refute_0_5483,plain,
add(X_605,multiply(X_1379,inverse(X_605))) = add(X_1379,X_605),
inference(subst,[],[refute_0_5482:[bind(X_281,$fot(X_1379)),bind(X_313,$fot(X_605))]]) ).
cnf(refute_0_5484,plain,
( add(X_605,multiply(X_1379,inverse(X_605))) != add(X_1379,X_605)
| add(X_605,add(X_1379,multiply(X_1380,X_605))) != add(X_605,multiply(X_1379,inverse(X_605)))
| add(X_605,add(X_1379,multiply(X_1380,X_605))) = add(X_1379,X_605) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_605,add(X_1379,multiply(X_1380,X_605))),add(X_605,multiply(X_1379,inverse(X_605)))) ),[1],$fot(add(X_1379,X_605))]]) ).
cnf(refute_0_5485,plain,
( add(X_605,add(X_1379,multiply(X_1380,X_605))) != add(X_605,multiply(X_1379,inverse(X_605)))
| add(X_605,add(X_1379,multiply(X_1380,X_605))) = add(X_1379,X_605) ),
inference(resolve,[$cnf( $equal(add(X_605,multiply(X_1379,inverse(X_605))),add(X_1379,X_605)) )],[refute_0_5483,refute_0_5484]) ).
cnf(refute_0_5486,plain,
( add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605) != add(X_605,multiply(X_1379,inverse(X_605)))
| add(X_605,add(X_1379,multiply(X_1380,X_605))) = add(X_1379,X_605) ),
inference(resolve,[$cnf( $equal(add(X_605,add(X_1379,multiply(X_1380,X_605))),add(X_605,multiply(X_1379,inverse(X_605)))) )],[refute_0_5469,refute_0_5485]) ).
cnf(refute_0_5487,plain,
add(X_605,add(X_1379,multiply(X_1380,X_605))) = add(X_1379,X_605),
inference(resolve,[$cnf( $equal(add(add(multiply(X_1380,inverse(inverse(X_605))),X_1379),X_605),add(X_605,multiply(X_1379,inverse(X_605)))) )],[refute_0_4968,refute_0_5486]) ).
cnf(refute_0_5488,plain,
add(multiply(X_1382,X_281),add(X_1381,multiply(X_1382,multiply(X_1382,X_281)))) = add(X_1381,multiply(X_1382,X_281)),
inference(subst,[],[refute_0_5487:[bind(X_1379,$fot(X_1381)),bind(X_1380,$fot(X_1382)),bind(X_605,$fot(multiply(X_1382,X_281)))]]) ).
cnf(refute_0_5489,plain,
multiply(X_1382,multiply(X_1382,X_281)) = multiply(X_281,X_1382),
inference(subst,[],[refute_0_2681:[bind(X_280,$fot(X_1382))]]) ).
cnf(refute_0_5490,plain,
( multiply(X_1382,multiply(X_1382,X_281)) != multiply(X_281,X_1382)
| add(multiply(X_1382,X_281),add(X_1381,multiply(X_1382,multiply(X_1382,X_281)))) != add(X_1381,multiply(X_1382,X_281))
| add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) = add(X_1381,multiply(X_1382,X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1382,X_281),add(X_1381,multiply(X_1382,multiply(X_1382,X_281)))),add(X_1381,multiply(X_1382,X_281))) ),[0,1,1],$fot(multiply(X_281,X_1382))]]) ).
cnf(refute_0_5491,plain,
( add(multiply(X_1382,X_281),add(X_1381,multiply(X_1382,multiply(X_1382,X_281)))) != add(X_1381,multiply(X_1382,X_281))
| add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) = add(X_1381,multiply(X_1382,X_281)) ),
inference(resolve,[$cnf( $equal(multiply(X_1382,multiply(X_1382,X_281)),multiply(X_281,X_1382)) )],[refute_0_5489,refute_0_5490]) ).
cnf(refute_0_5492,plain,
add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) = add(X_1381,multiply(X_1382,X_281)),
inference(resolve,[$cnf( $equal(add(multiply(X_1382,X_281),add(X_1381,multiply(X_1382,multiply(X_1382,X_281)))),add(X_1381,multiply(X_1382,X_281))) )],[refute_0_5488,refute_0_5491]) ).
cnf(refute_0_5493,plain,
pixley(inverse(Y),multiply(X_966,inverse(inverse(Y))),n1) = inverse(multiply(X_966,inverse(inverse(Y)))),
inference(subst,[],[refute_0_4944:[bind(X_287,$fot(X_966)),bind(X_962,$fot(inverse(Y)))]]) ).
cnf(refute_0_5494,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(Y),multiply(X_966,inverse(inverse(Y))),n1) != inverse(multiply(X_966,inverse(inverse(Y))))
| pixley(inverse(Y),multiply(X_966,Y),n1) = inverse(multiply(X_966,inverse(inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),multiply(X_966,inverse(inverse(Y))),n1),inverse(multiply(X_966,inverse(inverse(Y))))) ),[0,1,1],$fot(Y)]]) ).
cnf(refute_0_5495,plain,
( pixley(inverse(Y),multiply(X_966,inverse(inverse(Y))),n1) != inverse(multiply(X_966,inverse(inverse(Y))))
| pixley(inverse(Y),multiply(X_966,Y),n1) = inverse(multiply(X_966,inverse(inverse(Y)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_5494]) ).
cnf(refute_0_5496,plain,
pixley(inverse(Y),multiply(X_966,Y),n1) = inverse(multiply(X_966,inverse(inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),multiply(X_966,inverse(inverse(Y))),n1),inverse(multiply(X_966,inverse(inverse(Y))))) )],[refute_0_5493,refute_0_5495]) ).
cnf(refute_0_5497,plain,
pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = add(multiply(inverse(X_803),inverse(multiply(X_804,X_803))),add(inverse(X_803),inverse(multiply(X_804,X_803)))),
inference(subst,[],[refute_0_2229:[bind(X_589,$fot(inverse(X_803))),bind(X_591,$fot(inverse(multiply(X_804,X_803))))]]) ).
cnf(refute_0_5498,plain,
multiply(inverse(X_803),inverse(multiply(X_804,X_803))) = inverse(X_803),
inference(subst,[],[refute_0_3579:[bind(X_10,$fot(X_803)),bind(X_379,$fot(X_804))]]) ).
cnf(refute_0_5499,plain,
( multiply(inverse(X_803),inverse(multiply(X_804,X_803))) != inverse(X_803)
| pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != add(multiply(inverse(X_803),inverse(multiply(X_804,X_803))),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1),add(multiply(inverse(X_803),inverse(multiply(X_804,X_803))),add(inverse(X_803),inverse(multiply(X_804,X_803))))) ),[1,0],$fot(inverse(X_803))]]) ).
cnf(refute_0_5500,plain,
( pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != add(multiply(inverse(X_803),inverse(multiply(X_804,X_803))),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_803),inverse(multiply(X_804,X_803))),inverse(X_803)) )],[refute_0_5498,refute_0_5499]) ).
cnf(refute_0_5501,plain,
pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))),
inference(resolve,[$cnf( $equal(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1),add(multiply(inverse(X_803),inverse(multiply(X_804,X_803))),add(inverse(X_803),inverse(multiply(X_804,X_803))))) )],[refute_0_5497,refute_0_5500]) ).
cnf(refute_0_5502,plain,
pixley(inverse(Y),X_727,n1) = pixley(inverse(X_727),inverse(inverse(Y)),n1),
inference(subst,[],[refute_0_3751:[bind(Y,$fot(X_727)),bind(X_640,$fot(inverse(Y)))]]) ).
cnf(refute_0_5503,plain,
( inverse(inverse(Y)) != Y
| pixley(inverse(Y),X_727,n1) != pixley(inverse(X_727),inverse(inverse(Y)),n1)
| pixley(inverse(Y),X_727,n1) = pixley(inverse(X_727),Y,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),X_727,n1),pixley(inverse(X_727),inverse(inverse(Y)),n1)) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_5504,plain,
( pixley(inverse(Y),X_727,n1) != pixley(inverse(X_727),inverse(inverse(Y)),n1)
| pixley(inverse(Y),X_727,n1) = pixley(inverse(X_727),Y,n1) ),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_5503]) ).
cnf(refute_0_5505,plain,
pixley(inverse(Y),X_727,n1) = pixley(inverse(X_727),Y,n1),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),X_727,n1),pixley(inverse(X_727),inverse(inverse(Y)),n1)) )],[refute_0_5502,refute_0_5504]) ).
cnf(refute_0_5506,plain,
( pixley(inverse(Y),X_727,n1) != pixley(inverse(X_727),Y,n1)
| pixley(inverse(X_727),Y,n1) = pixley(inverse(Y),X_727,n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(inverse(Y),X_727,n1))),bind(Y0,$fot(pixley(inverse(X_727),Y,n1)))]]) ).
cnf(refute_0_5507,plain,
pixley(inverse(X_727),Y,n1) = pixley(inverse(Y),X_727,n1),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),X_727,n1),pixley(inverse(X_727),Y,n1)) )],[refute_0_5505,refute_0_5506]) ).
cnf(refute_0_5508,plain,
pixley(inverse(multiply(X_804,X_803)),X_803,n1) = pixley(inverse(X_803),multiply(X_804,X_803),n1),
inference(subst,[],[refute_0_5507:[bind(Y,$fot(X_803)),bind(X_727,$fot(multiply(X_804,X_803)))]]) ).
cnf(refute_0_5509,plain,
pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = pixley(inverse(multiply(X_804,X_803)),X_803,n1),
inference(subst,[],[refute_0_3753:[bind(Y,$fot(X_803)),bind(X_640,$fot(inverse(multiply(X_804,X_803))))]]) ).
cnf(refute_0_5510,plain,
( pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != pixley(inverse(multiply(X_804,X_803)),X_803,n1)
| pixley(inverse(multiply(X_804,X_803)),X_803,n1) != pixley(inverse(X_803),multiply(X_804,X_803),n1)
| pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = pixley(inverse(X_803),multiply(X_804,X_803),n1) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1))),bind(Y0,$fot(pixley(inverse(multiply(X_804,X_803)),X_803,n1))),bind(Z0,$fot(pixley(inverse(X_803),multiply(X_804,X_803),n1)))]]) ).
cnf(refute_0_5511,plain,
( pixley(inverse(multiply(X_804,X_803)),X_803,n1) != pixley(inverse(X_803),multiply(X_804,X_803),n1)
| pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = pixley(inverse(X_803),multiply(X_804,X_803),n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1),pixley(inverse(multiply(X_804,X_803)),X_803,n1)) )],[refute_0_5509,refute_0_5510]) ).
cnf(refute_0_5512,plain,
pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) = pixley(inverse(X_803),multiply(X_804,X_803),n1),
inference(resolve,[$cnf( $equal(pixley(inverse(multiply(X_804,X_803)),X_803,n1),pixley(inverse(X_803),multiply(X_804,X_803),n1)) )],[refute_0_5508,refute_0_5511]) ).
cnf(refute_0_5513,plain,
( pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != pixley(inverse(X_803),multiply(X_804,X_803),n1)
| pixley(inverse(X_803),multiply(X_804,X_803),n1) = add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1),add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))) ),[0],$fot(pixley(inverse(X_803),multiply(X_804,X_803),n1))]]) ).
cnf(refute_0_5514,plain,
( pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),multiply(X_804,X_803),n1) = add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1),pixley(inverse(X_803),multiply(X_804,X_803),n1)) )],[refute_0_5512,refute_0_5513]) ).
cnf(refute_0_5515,plain,
add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))) = add(inverse(X_803),inverse(multiply(X_804,X_803))),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(inverse(X_803))),bind(X_412,$fot(inverse(multiply(X_804,X_803))))]]) ).
cnf(refute_0_5516,plain,
( add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))) != add(inverse(X_803),inverse(multiply(X_804,X_803)))
| pixley(inverse(X_803),multiply(X_804,X_803),n1) != add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),multiply(X_804,X_803),n1) = add(inverse(X_803),inverse(multiply(X_804,X_803))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_803),multiply(X_804,X_803),n1),add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))) ),[1],$fot(add(inverse(X_803),inverse(multiply(X_804,X_803))))]]) ).
cnf(refute_0_5517,plain,
( pixley(inverse(X_803),multiply(X_804,X_803),n1) != add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),multiply(X_804,X_803),n1) = add(inverse(X_803),inverse(multiply(X_804,X_803))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803)))),add(inverse(X_803),inverse(multiply(X_804,X_803)))) )],[refute_0_5515,refute_0_5516]) ).
cnf(refute_0_5518,plain,
( pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1) != add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))
| pixley(inverse(X_803),multiply(X_804,X_803),n1) = add(inverse(X_803),inverse(multiply(X_804,X_803))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_803),multiply(X_804,X_803),n1),add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))) )],[refute_0_5514,refute_0_5517]) ).
cnf(refute_0_5519,plain,
pixley(inverse(X_803),multiply(X_804,X_803),n1) = add(inverse(X_803),inverse(multiply(X_804,X_803))),
inference(resolve,[$cnf( $equal(pixley(inverse(X_803),inverse(inverse(multiply(X_804,X_803))),n1),add(inverse(X_803),add(inverse(X_803),inverse(multiply(X_804,X_803))))) )],[refute_0_5501,refute_0_5518]) ).
cnf(refute_0_5520,plain,
pixley(inverse(Y),multiply(X_966,Y),n1) = add(inverse(Y),inverse(multiply(X_966,Y))),
inference(subst,[],[refute_0_5519:[bind(X_803,$fot(Y)),bind(X_804,$fot(X_966))]]) ).
cnf(refute_0_5521,plain,
( pixley(inverse(Y),multiply(X_966,Y),n1) != add(inverse(Y),inverse(multiply(X_966,Y)))
| pixley(inverse(Y),multiply(X_966,Y),n1) != inverse(multiply(X_966,inverse(inverse(Y))))
| add(inverse(Y),inverse(multiply(X_966,Y))) = inverse(multiply(X_966,inverse(inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(Y),multiply(X_966,Y),n1),inverse(multiply(X_966,inverse(inverse(Y))))) ),[0],$fot(add(inverse(Y),inverse(multiply(X_966,Y))))]]) ).
cnf(refute_0_5522,plain,
( pixley(inverse(Y),multiply(X_966,Y),n1) != inverse(multiply(X_966,inverse(inverse(Y))))
| add(inverse(Y),inverse(multiply(X_966,Y))) = inverse(multiply(X_966,inverse(inverse(Y)))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),multiply(X_966,Y),n1),add(inverse(Y),inverse(multiply(X_966,Y)))) )],[refute_0_5520,refute_0_5521]) ).
cnf(refute_0_5523,plain,
multiply(X_966,inverse(inverse(Y))) = multiply(X_966,inverse(inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(X_966,inverse(inverse(Y))))]]) ).
cnf(refute_0_5524,plain,
( multiply(X_966,inverse(inverse(Y))) != multiply(X_966,inverse(inverse(Y)))
| inverse(inverse(Y)) != Y
| multiply(X_966,inverse(inverse(Y))) = multiply(X_966,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_966,inverse(inverse(Y))),multiply(X_966,inverse(inverse(Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_5525,plain,
( inverse(inverse(Y)) != Y
| multiply(X_966,inverse(inverse(Y))) = multiply(X_966,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_966,inverse(inverse(Y))),multiply(X_966,inverse(inverse(Y)))) )],[refute_0_5523,refute_0_5524]) ).
cnf(refute_0_5526,plain,
multiply(X_966,inverse(inverse(Y))) = multiply(X_966,Y),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_2358,refute_0_5525]) ).
cnf(refute_0_5527,plain,
inverse(multiply(X_966,inverse(inverse(Y)))) = inverse(multiply(X_966,inverse(inverse(Y)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_966,inverse(inverse(Y)))))]]) ).
cnf(refute_0_5528,plain,
( multiply(X_966,inverse(inverse(Y))) != multiply(X_966,Y)
| inverse(multiply(X_966,inverse(inverse(Y)))) != inverse(multiply(X_966,inverse(inverse(Y))))
| inverse(multiply(X_966,inverse(inverse(Y)))) = inverse(multiply(X_966,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_966,inverse(inverse(Y)))),inverse(multiply(X_966,inverse(inverse(Y))))) ),[1,0],$fot(multiply(X_966,Y))]]) ).
cnf(refute_0_5529,plain,
( multiply(X_966,inverse(inverse(Y))) != multiply(X_966,Y)
| inverse(multiply(X_966,inverse(inverse(Y)))) = inverse(multiply(X_966,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_966,inverse(inverse(Y)))),inverse(multiply(X_966,inverse(inverse(Y))))) )],[refute_0_5527,refute_0_5528]) ).
cnf(refute_0_5530,plain,
inverse(multiply(X_966,inverse(inverse(Y)))) = inverse(multiply(X_966,Y)),
inference(resolve,[$cnf( $equal(multiply(X_966,inverse(inverse(Y))),multiply(X_966,Y)) )],[refute_0_5526,refute_0_5529]) ).
cnf(refute_0_5531,plain,
( add(inverse(Y),inverse(multiply(X_966,Y))) != inverse(multiply(X_966,inverse(inverse(Y))))
| inverse(multiply(X_966,inverse(inverse(Y)))) != inverse(multiply(X_966,Y))
| add(inverse(Y),inverse(multiply(X_966,Y))) = inverse(multiply(X_966,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(Y),inverse(multiply(X_966,Y))),inverse(multiply(X_966,Y))) ),[0],$fot(inverse(multiply(X_966,inverse(inverse(Y)))))]]) ).
cnf(refute_0_5532,plain,
( add(inverse(Y),inverse(multiply(X_966,Y))) != inverse(multiply(X_966,inverse(inverse(Y))))
| add(inverse(Y),inverse(multiply(X_966,Y))) = inverse(multiply(X_966,Y)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_966,inverse(inverse(Y)))),inverse(multiply(X_966,Y))) )],[refute_0_5530,refute_0_5531]) ).
cnf(refute_0_5533,plain,
( pixley(inverse(Y),multiply(X_966,Y),n1) != inverse(multiply(X_966,inverse(inverse(Y))))
| add(inverse(Y),inverse(multiply(X_966,Y))) = inverse(multiply(X_966,Y)) ),
inference(resolve,[$cnf( $equal(add(inverse(Y),inverse(multiply(X_966,Y))),inverse(multiply(X_966,inverse(inverse(Y))))) )],[refute_0_5522,refute_0_5532]) ).
cnf(refute_0_5534,plain,
add(inverse(Y),inverse(multiply(X_966,Y))) = inverse(multiply(X_966,Y)),
inference(resolve,[$cnf( $equal(pixley(inverse(Y),multiply(X_966,Y),n1),inverse(multiply(X_966,inverse(inverse(Y))))) )],[refute_0_5496,refute_0_5533]) ).
cnf(refute_0_5535,plain,
add(inverse(pixley(X_1153,X_1154,n1)),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),
inference(subst,[],[refute_0_5534:[bind(Y,$fot(pixley(X_1153,X_1154,n1))),bind(X_966,$fot(inverse(add(X_1153,X_1154))))]]) ).
cnf(refute_0_5536,plain,
multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) = multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151)))),
inference(subst,[],[refute_0_3941:[bind(X_312,$fot(X_1150)),bind(X_661,$fot(X_1151)),bind(X_778,$fot(add(X_1150,inverse(X_1151))))]]) ).
cnf(refute_0_5537,plain,
pixley(X_1150,inverse(inverse(X_1151)),n1) = add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))),
inference(subst,[],[refute_0_2281:[bind(X_592,$fot(X_1150)),bind(X_593,$fot(inverse(X_1151)))]]) ).
cnf(refute_0_5538,plain,
( pixley(X_1150,inverse(inverse(X_1151)),n1) != add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151)))
| add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))) = pixley(X_1150,inverse(inverse(X_1151)),n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_1150,inverse(inverse(X_1151)),n1))),bind(Y0,$fot(add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151)))))]]) ).
cnf(refute_0_5539,plain,
add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))) = pixley(X_1150,inverse(inverse(X_1151)),n1),
inference(resolve,[$cnf( $equal(pixley(X_1150,inverse(inverse(X_1151)),n1),add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151)))) )],[refute_0_5537,refute_0_5538]) ).
cnf(refute_0_5540,plain,
( multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) != multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))))
| add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))) != pixley(X_1150,inverse(inverse(X_1151)),n1)
| multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))),multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))))) ),[1,1],$fot(pixley(X_1150,inverse(inverse(X_1151)),n1))]]) ).
cnf(refute_0_5541,plain,
( multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) != multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))))
| multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))),pixley(X_1150,inverse(inverse(X_1151)),n1)) )],[refute_0_5539,refute_0_5540]) ).
cnf(refute_0_5542,plain,
multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))),multiply(inverse(add(X_1150,X_1151)),add(multiply(inverse(X_1151),X_1150),add(X_1150,inverse(X_1151))))) )],[refute_0_5536,refute_0_5541]) ).
cnf(refute_0_5543,plain,
pixley(multiply(inverse(X_706),inverse(add(X_707,X_706))),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))),
inference(subst,[],[refute_0_3727:[bind(X_354,$fot(inverse(add(X_707,X_706)))),bind(X_356,$fot(inverse(X_706)))]]) ).
cnf(refute_0_5544,plain,
multiply(inverse(add(X_668,X_667)),add(inverse(X_667),inverse(add(X_668,X_667)))) = inverse(add(X_668,X_667)),
inference(subst,[],[refute_0_1549:[bind(X,$fot(inverse(X_667))),bind(Y,$fot(inverse(add(X_668,X_667))))]]) ).
cnf(refute_0_5545,plain,
( multiply(inverse(add(X_668,X_667)),add(inverse(X_667),inverse(add(X_668,X_667)))) != inverse(add(X_668,X_667))
| add(inverse(X_667),inverse(add(X_668,X_667))) != inverse(X_667)
| multiply(inverse(add(X_668,X_667)),inverse(X_667)) = inverse(add(X_668,X_667)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_668,X_667)),add(inverse(X_667),inverse(add(X_668,X_667)))),inverse(add(X_668,X_667))) ),[0,1],$fot(inverse(X_667))]]) ).
cnf(refute_0_5546,plain,
( multiply(inverse(add(X_668,X_667)),add(inverse(X_667),inverse(add(X_668,X_667)))) != inverse(add(X_668,X_667))
| multiply(inverse(add(X_668,X_667)),inverse(X_667)) = inverse(add(X_668,X_667)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_667),inverse(add(X_668,X_667))),inverse(X_667)) )],[refute_0_4892,refute_0_5545]) ).
cnf(refute_0_5547,plain,
multiply(inverse(add(X_668,X_667)),inverse(X_667)) = inverse(add(X_668,X_667)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_668,X_667)),add(inverse(X_667),inverse(add(X_668,X_667)))),inverse(add(X_668,X_667))) )],[refute_0_5544,refute_0_5546]) ).
cnf(refute_0_5548,plain,
multiply(inverse(add(X_668,X_667)),inverse(X_667)) = multiply(inverse(X_667),inverse(add(X_668,X_667))),
inference(subst,[],[refute_0_3913:[bind(X_570,$fot(X_667)),bind(X_571,$fot(inverse(add(X_668,X_667))))]]) ).
cnf(refute_0_5549,plain,
( multiply(inverse(add(X_668,X_667)),inverse(X_667)) != multiply(inverse(X_667),inverse(add(X_668,X_667)))
| multiply(inverse(add(X_668,X_667)),inverse(X_667)) != inverse(add(X_668,X_667))
| multiply(inverse(X_667),inverse(add(X_668,X_667))) = inverse(add(X_668,X_667)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_668,X_667)),inverse(X_667)),inverse(add(X_668,X_667))) ),[0],$fot(multiply(inverse(X_667),inverse(add(X_668,X_667))))]]) ).
cnf(refute_0_5550,plain,
( multiply(inverse(add(X_668,X_667)),inverse(X_667)) != inverse(add(X_668,X_667))
| multiply(inverse(X_667),inverse(add(X_668,X_667))) = inverse(add(X_668,X_667)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_668,X_667)),inverse(X_667)),multiply(inverse(X_667),inverse(add(X_668,X_667)))) )],[refute_0_5548,refute_0_5549]) ).
cnf(refute_0_5551,plain,
multiply(inverse(X_667),inverse(add(X_668,X_667))) = inverse(add(X_668,X_667)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_668,X_667)),inverse(X_667)),inverse(add(X_668,X_667))) )],[refute_0_5547,refute_0_5550]) ).
cnf(refute_0_5552,plain,
multiply(inverse(X_706),inverse(add(X_707,X_706))) = inverse(add(X_707,X_706)),
inference(subst,[],[refute_0_5551:[bind(X_667,$fot(X_706)),bind(X_668,$fot(X_707))]]) ).
cnf(refute_0_5553,plain,
( multiply(inverse(X_706),inverse(add(X_707,X_706))) != inverse(add(X_707,X_706))
| pixley(multiply(inverse(X_706),inverse(add(X_707,X_706))),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_706),inverse(add(X_707,X_706))),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))) ),[0,0],$fot(inverse(add(X_707,X_706)))]]) ).
cnf(refute_0_5554,plain,
( pixley(multiply(inverse(X_706),inverse(add(X_707,X_706))),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_706),inverse(add(X_707,X_706))),inverse(add(X_707,X_706))) )],[refute_0_5552,refute_0_5553]) ).
cnf(refute_0_5555,plain,
pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_706),inverse(add(X_707,X_706))),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))) )],[refute_0_5543,refute_0_5554]) ).
cnf(refute_0_5556,plain,
multiply(n1,inverse(add(X_707,X_706))) = inverse(add(X_707,X_706)),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(inverse(add(X_707,X_706))))]]) ).
cnf(refute_0_5557,plain,
multiply(inverse(add(X_707,X_706)),n1) = multiply(n1,inverse(add(X_707,X_706))),
inference(subst,[],[refute_0_3915:[bind(X_570,$fot(add(X_707,X_706))),bind(X_571,$fot(n1))]]) ).
cnf(refute_0_5558,plain,
( multiply(inverse(add(X_707,X_706)),n1) != multiply(n1,inverse(add(X_707,X_706)))
| multiply(n1,inverse(add(X_707,X_706))) != inverse(add(X_707,X_706))
| multiply(inverse(add(X_707,X_706)),n1) = inverse(add(X_707,X_706)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(add(X_707,X_706)),n1))),bind(Y0,$fot(multiply(n1,inverse(add(X_707,X_706))))),bind(Z0,$fot(inverse(add(X_707,X_706))))]]) ).
cnf(refute_0_5559,plain,
( multiply(n1,inverse(add(X_707,X_706))) != inverse(add(X_707,X_706))
| multiply(inverse(add(X_707,X_706)),n1) = inverse(add(X_707,X_706)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),n1),multiply(n1,inverse(add(X_707,X_706)))) )],[refute_0_5557,refute_0_5558]) ).
cnf(refute_0_5560,plain,
multiply(inverse(add(X_707,X_706)),n1) = inverse(add(X_707,X_706)),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(add(X_707,X_706))),inverse(add(X_707,X_706))) )],[refute_0_5556,refute_0_5559]) ).
cnf(refute_0_5561,plain,
add(n1,add(X_355,inverse(X_706))) = n1,
inference(subst,[],[refute_0_2630:[bind(X_211,$fot(add(X_355,inverse(X_706))))]]) ).
cnf(refute_0_5562,plain,
multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),
introduced(tautology,[refl,[$fot(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))))]]) ).
cnf(refute_0_5563,plain,
( multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) != multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))
| add(n1,add(X_355,inverse(X_706))) != n1
| multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = multiply(inverse(add(X_707,X_706)),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_5564,plain,
( add(n1,add(X_355,inverse(X_706))) != n1
| multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = multiply(inverse(add(X_707,X_706)),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))) )],[refute_0_5562,refute_0_5563]) ).
cnf(refute_0_5565,plain,
multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = multiply(inverse(add(X_707,X_706)),n1),
inference(resolve,[$cnf( $equal(add(n1,add(X_355,inverse(X_706))),n1) )],[refute_0_5561,refute_0_5564]) ).
cnf(refute_0_5566,plain,
( multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) != multiply(inverse(add(X_707,X_706)),n1)
| multiply(inverse(add(X_707,X_706)),n1) != inverse(add(X_707,X_706))
| multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = inverse(add(X_707,X_706)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))))),bind(Y0,$fot(multiply(inverse(add(X_707,X_706)),n1))),bind(Z0,$fot(inverse(add(X_707,X_706))))]]) ).
cnf(refute_0_5567,plain,
( multiply(inverse(add(X_707,X_706)),n1) != inverse(add(X_707,X_706))
| multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = inverse(add(X_707,X_706)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),multiply(inverse(add(X_707,X_706)),n1)) )],[refute_0_5565,refute_0_5566]) ).
cnf(refute_0_5568,plain,
multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) = inverse(add(X_707,X_706)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),n1),inverse(add(X_707,X_706))) )],[refute_0_5560,refute_0_5567]) ).
cnf(refute_0_5569,plain,
add(X_701,X_700) = add(X_700,X_701),
inference(subst,[],[refute_0_3517:[bind(Y,$fot(X_700)),bind(X_605,$fot(X_701))]]) ).
cnf(refute_0_5570,plain,
( add(X_701,X_700) != add(X_700,X_701)
| add(X_700,X_701) = add(X_701,X_700) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_701,X_700))),bind(Y0,$fot(add(X_700,X_701)))]]) ).
cnf(refute_0_5571,plain,
add(X_700,X_701) = add(X_701,X_700),
inference(resolve,[$cnf( $equal(add(X_701,X_700),add(X_700,X_701)) )],[refute_0_5569,refute_0_5570]) ).
cnf(refute_0_5572,plain,
( add(X_700,X_701) != add(X_701,X_700)
| pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) != multiply(X_699,add(X_700,X_701))
| pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) = multiply(X_699,add(X_701,X_700)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(X_699,add(X_700,X_701))) ),[1,1],$fot(add(X_701,X_700))]]) ).
cnf(refute_0_5573,plain,
( pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) != multiply(X_699,add(X_700,X_701))
| pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) = multiply(X_699,add(X_701,X_700)) ),
inference(resolve,[$cnf( $equal(add(X_700,X_701),add(X_701,X_700)) )],[refute_0_5571,refute_0_5572]) ).
cnf(refute_0_5574,plain,
pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) = multiply(X_699,add(X_701,X_700)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(X_699,add(X_700,X_701))) )],[refute_0_5049,refute_0_5573]) ).
cnf(refute_0_5575,plain,
( pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) != multiply(X_699,add(X_700,X_701))
| pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) != multiply(X_699,add(X_701,X_700))
| multiply(X_699,add(X_700,X_701)) = multiply(X_699,add(X_701,X_700)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(X_699,add(X_701,X_700))) ),[0],$fot(multiply(X_699,add(X_700,X_701)))]]) ).
cnf(refute_0_5576,plain,
( pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1) != multiply(X_699,add(X_701,X_700))
| multiply(X_699,add(X_700,X_701)) = multiply(X_699,add(X_701,X_700)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(X_699,add(X_700,X_701))) )],[refute_0_5049,refute_0_5575]) ).
cnf(refute_0_5577,plain,
multiply(X_699,add(X_700,X_701)) = multiply(X_699,add(X_701,X_700)),
inference(resolve,[$cnf( $equal(pixley(multiply(X_699,X_701),inverse(multiply(X_699,add(X_700,X_701))),n1),multiply(X_699,add(X_701,X_700))) )],[refute_0_5574,refute_0_5576]) ).
cnf(refute_0_5578,plain,
( multiply(X_699,add(X_700,X_701)) != multiply(X_699,add(X_701,X_700))
| multiply(X_699,add(X_701,X_700)) = multiply(X_699,add(X_700,X_701)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_699,add(X_700,X_701)))),bind(Y0,$fot(multiply(X_699,add(X_701,X_700))))]]) ).
cnf(refute_0_5579,plain,
multiply(X_699,add(X_701,X_700)) = multiply(X_699,add(X_700,X_701)),
inference(resolve,[$cnf( $equal(multiply(X_699,add(X_700,X_701)),multiply(X_699,add(X_701,X_700))) )],[refute_0_5577,refute_0_5578]) ).
cnf(refute_0_5580,plain,
multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1)) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),
inference(subst,[],[refute_0_5579:[bind(X_699,$fot(inverse(add(X_707,X_706)))),bind(X_700,$fot(n1)),bind(X_701,$fot(add(X_355,inverse(X_706))))]]) ).
cnf(refute_0_5581,plain,
pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) = multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1)),
inference(subst,[],[refute_0_3549:[bind(Y,$fot(add(X_707,X_706))),bind(Z,$fot(n1)),bind(X_82,$fot(add(X_355,inverse(X_706))))]]) ).
cnf(refute_0_5582,plain,
( multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1)) != multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))
| pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) != multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1))
| pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1))),bind(Y0,$fot(multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1)))),bind(Z0,$fot(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))))]]) ).
cnf(refute_0_5583,plain,
( multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1)) != multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))
| pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) ),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1),multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1))) )],[refute_0_5581,refute_0_5582]) ).
cnf(refute_0_5584,plain,
pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),add(add(X_355,inverse(X_706)),n1)),multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))) )],[refute_0_5580,refute_0_5583]) ).
cnf(refute_0_5585,plain,
pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1),
inference(subst,[],[refute_0_3753:[bind(Y,$fot(add(X_707,X_706))),bind(X_640,$fot(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))))]]) ).
cnf(refute_0_5586,plain,
( pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) != multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1)
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1))),bind(Y0,$fot(pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1))),bind(Z0,$fot(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))))]]) ).
cnf(refute_0_5587,plain,
( pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1) != multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1)) )],[refute_0_5585,refute_0_5586]) ).
cnf(refute_0_5588,plain,
pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),
inference(resolve,[$cnf( $equal(pixley(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706))),add(X_707,X_706),n1),multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))) )],[refute_0_5584,refute_0_5587]) ).
cnf(refute_0_5589,plain,
( multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) != inverse(add(X_707,X_706))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = inverse(add(X_707,X_706)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1))),bind(Y0,$fot(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))))),bind(Z0,$fot(inverse(add(X_707,X_706))))]]) ).
cnf(refute_0_5590,plain,
( multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))) != inverse(add(X_707,X_706))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = inverse(add(X_707,X_706)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706))))) )],[refute_0_5588,refute_0_5589]) ).
cnf(refute_0_5591,plain,
pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) = inverse(add(X_707,X_706)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_707,X_706)),add(n1,add(X_355,inverse(X_706)))),inverse(add(X_707,X_706))) )],[refute_0_5568,refute_0_5590]) ).
cnf(refute_0_5592,plain,
( pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))
| pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != inverse(add(X_707,X_706))
| inverse(add(X_707,X_706)) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))) ),[0],$fot(inverse(add(X_707,X_706)))]]) ).
cnf(refute_0_5593,plain,
( pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1) != multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))
| inverse(add(X_707,X_706)) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))) ),
inference(resolve,[$cnf( $equal(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),inverse(add(X_707,X_706))) )],[refute_0_5591,refute_0_5592]) ).
cnf(refute_0_5594,plain,
inverse(add(X_707,X_706)) = multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))),
inference(resolve,[$cnf( $equal(pixley(inverse(add(X_707,X_706)),inverse(multiply(add(X_355,inverse(X_706)),inverse(add(X_707,X_706)))),n1),multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))) )],[refute_0_5555,refute_0_5593]) ).
cnf(refute_0_5595,plain,
( inverse(add(X_707,X_706)) != multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))
| multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))) = inverse(add(X_707,X_706)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_707,X_706)))),bind(Y0,$fot(multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))))]]) ).
cnf(refute_0_5596,plain,
multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706))) = inverse(add(X_707,X_706)),
inference(resolve,[$cnf( $equal(inverse(add(X_707,X_706)),multiply(inverse(add(X_707,X_706)),add(X_355,inverse(X_706)))) )],[refute_0_5594,refute_0_5595]) ).
cnf(refute_0_5597,plain,
multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) = inverse(add(X_1150,X_1151)),
inference(subst,[],[refute_0_5596:[bind(X_355,$fot(X_1150)),bind(X_706,$fot(X_1151)),bind(X_707,$fot(X_1150))]]) ).
cnf(refute_0_5598,plain,
( multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))
| multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) != inverse(add(X_1150,X_1151))
| inverse(add(X_1150,X_1151)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))) ),[0],$fot(inverse(add(X_1150,X_1151)))]]) ).
cnf(refute_0_5599,plain,
( multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))
| inverse(add(X_1150,X_1151)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))),inverse(add(X_1150,X_1151))) )],[refute_0_5597,refute_0_5598]) ).
cnf(refute_0_5600,plain,
inverse(inverse(X_1151)) = X_1151,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_1151))]]) ).
cnf(refute_0_5601,plain,
pixley(X_1150,inverse(inverse(X_1151)),n1) = pixley(X_1150,inverse(inverse(X_1151)),n1),
introduced(tautology,[refl,[$fot(pixley(X_1150,inverse(inverse(X_1151)),n1))]]) ).
cnf(refute_0_5602,plain,
( inverse(inverse(X_1151)) != X_1151
| pixley(X_1150,inverse(inverse(X_1151)),n1) != pixley(X_1150,inverse(inverse(X_1151)),n1)
| pixley(X_1150,inverse(inverse(X_1151)),n1) = pixley(X_1150,X_1151,n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1150,inverse(inverse(X_1151)),n1),pixley(X_1150,inverse(inverse(X_1151)),n1)) ),[1,1],$fot(X_1151)]]) ).
cnf(refute_0_5603,plain,
( inverse(inverse(X_1151)) != X_1151
| pixley(X_1150,inverse(inverse(X_1151)),n1) = pixley(X_1150,X_1151,n1) ),
inference(resolve,[$cnf( $equal(pixley(X_1150,inverse(inverse(X_1151)),n1),pixley(X_1150,inverse(inverse(X_1151)),n1)) )],[refute_0_5601,refute_0_5602]) ).
cnf(refute_0_5604,plain,
pixley(X_1150,inverse(inverse(X_1151)),n1) = pixley(X_1150,X_1151,n1),
inference(resolve,[$cnf( $equal(inverse(inverse(X_1151)),X_1151) )],[refute_0_5600,refute_0_5603]) ).
cnf(refute_0_5605,plain,
multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)))]]) ).
cnf(refute_0_5606,plain,
( multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))
| pixley(X_1150,inverse(inverse(X_1151)),n1) != pixley(X_1150,X_1151,n1)
| multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))) ),[1,1],$fot(pixley(X_1150,X_1151,n1))]]) ).
cnf(refute_0_5607,plain,
( pixley(X_1150,inverse(inverse(X_1151)),n1) != pixley(X_1150,X_1151,n1)
| multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))) )],[refute_0_5605,refute_0_5606]) ).
cnf(refute_0_5608,plain,
multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)),
inference(resolve,[$cnf( $equal(pixley(X_1150,inverse(inverse(X_1151)),n1),pixley(X_1150,X_1151,n1)) )],[refute_0_5604,refute_0_5607]) ).
cnf(refute_0_5609,plain,
( multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1))
| inverse(add(X_1150,X_1151)) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))
| inverse(add(X_1150,X_1151)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_1150,X_1151)),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))) ),[1],$fot(multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)))]]) ).
cnf(refute_0_5610,plain,
( inverse(add(X_1150,X_1151)) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))
| inverse(add(X_1150,X_1151)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1)),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1))) )],[refute_0_5608,refute_0_5609]) ).
cnf(refute_0_5611,plain,
( multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))) != multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))
| inverse(add(X_1150,X_1151)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_1150,X_1151)),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))) )],[refute_0_5599,refute_0_5610]) ).
cnf(refute_0_5612,plain,
inverse(add(X_1150,X_1151)) = multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,X_1151,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1150,X_1151)),add(X_1150,inverse(X_1151))),multiply(inverse(add(X_1150,X_1151)),pixley(X_1150,inverse(inverse(X_1151)),n1))) )],[refute_0_5542,refute_0_5611]) ).
cnf(refute_0_5613,plain,
inverse(add(X_1153,X_1154)) = multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)),
inference(subst,[],[refute_0_5612:[bind(X_1150,$fot(X_1153)),bind(X_1151,$fot(X_1154))]]) ).
cnf(refute_0_5614,plain,
( inverse(add(X_1153,X_1154)) != multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))
| multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)) = inverse(add(X_1153,X_1154)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_1153,X_1154)))),bind(Y0,$fot(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))))]]) ).
cnf(refute_0_5615,plain,
multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)) = inverse(add(X_1153,X_1154)),
inference(resolve,[$cnf( $equal(inverse(add(X_1153,X_1154)),multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) )],[refute_0_5613,refute_0_5614]) ).
cnf(refute_0_5616,plain,
( multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)) != inverse(add(X_1153,X_1154))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(pixley(X_1153,X_1154,n1)),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) ),[0,1,0],$fot(inverse(add(X_1153,X_1154)))]]) ).
cnf(refute_0_5617,plain,
( add(inverse(pixley(X_1153,X_1154,n1)),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)),inverse(add(X_1153,X_1154))) )],[refute_0_5615,refute_0_5616]) ).
cnf(refute_0_5618,plain,
add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),
inference(resolve,[$cnf( $equal(add(inverse(pixley(X_1153,X_1154,n1)),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) )],[refute_0_5535,refute_0_5617]) ).
cnf(refute_0_5619,plain,
inverse(inverse(add(X_1153,X_1154))) = add(X_1153,X_1154),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(X_1153,X_1154)))]]) ).
cnf(refute_0_5620,plain,
add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) = add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))))]]) ).
cnf(refute_0_5621,plain,
( add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) != add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1)))
| inverse(inverse(add(X_1153,X_1154))) != add(X_1153,X_1154)
| add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))),add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1)))) ),[1,0],$fot(add(X_1153,X_1154))]]) ).
cnf(refute_0_5622,plain,
( inverse(inverse(add(X_1153,X_1154))) != add(X_1153,X_1154)
| add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))),add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1)))) )],[refute_0_5620,refute_0_5621]) ).
cnf(refute_0_5623,plain,
add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_1153,X_1154))),add(X_1153,X_1154)) )],[refute_0_5619,refute_0_5622]) ).
cnf(refute_0_5624,plain,
add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))),
inference(subst,[],[refute_0_4617:[bind(X_1037,$fot(inverse(pixley(X_1153,X_1154,n1)))),bind(X_1038,$fot(inverse(inverse(add(X_1153,X_1154)))))]]) ).
cnf(refute_0_5625,plain,
( add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) != add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) != add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1)))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))))),bind(Y0,$fot(add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))))),bind(Z0,$fot(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))))]]) ).
cnf(refute_0_5626,plain,
( add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))) != add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))),add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1)))) )],[refute_0_5624,refute_0_5625]) ).
cnf(refute_0_5627,plain,
add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_1153,X_1154))),inverse(pixley(X_1153,X_1154,n1))),add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))) )],[refute_0_5623,refute_0_5626]) ).
cnf(refute_0_5628,plain,
( add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) != add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))
| add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) ),[0],$fot(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))))]]) ).
cnf(refute_0_5629,plain,
( add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))),add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))) )],[refute_0_5627,refute_0_5628]) ).
cnf(refute_0_5630,plain,
inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))))]]) ).
cnf(refute_0_5631,plain,
( multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)) != inverse(add(X_1153,X_1154))
| inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = inverse(inverse(add(X_1153,X_1154))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) ),[1,0],$fot(inverse(add(X_1153,X_1154)))]]) ).
cnf(refute_0_5632,plain,
( multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)) != inverse(add(X_1153,X_1154))
| inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = inverse(inverse(add(X_1153,X_1154))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) )],[refute_0_5630,refute_0_5631]) ).
cnf(refute_0_5633,plain,
inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = inverse(inverse(add(X_1153,X_1154))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)),inverse(add(X_1153,X_1154))) )],[refute_0_5615,refute_0_5632]) ).
cnf(refute_0_5634,plain,
( inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) != inverse(inverse(add(X_1153,X_1154)))
| inverse(inverse(add(X_1153,X_1154))) != add(X_1153,X_1154)
| inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))))),bind(Y0,$fot(inverse(inverse(add(X_1153,X_1154))))),bind(Z0,$fot(add(X_1153,X_1154)))]]) ).
cnf(refute_0_5635,plain,
( inverse(inverse(add(X_1153,X_1154))) != add(X_1153,X_1154)
| inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),inverse(inverse(add(X_1153,X_1154)))) )],[refute_0_5633,refute_0_5634]) ).
cnf(refute_0_5636,plain,
inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_1153,X_1154))),add(X_1153,X_1154)) )],[refute_0_5619,refute_0_5635]) ).
cnf(refute_0_5637,plain,
( add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))) != add(X_1153,X_1154)
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),add(X_1153,X_1154)) ),[0],$fot(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))))]]) ).
cnf(refute_0_5638,plain,
( add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1))),add(X_1153,X_1154)) )],[refute_0_5636,refute_0_5637]) ).
cnf(refute_0_5639,plain,
( add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))) != inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154) ),
inference(resolve,[$cnf( $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) )],[refute_0_5629,refute_0_5638]) ).
cnf(refute_0_5640,plain,
add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(X_1153,X_1154),
inference(resolve,[$cnf( $equal(add(inverse(pixley(X_1153,X_1154,n1)),inverse(inverse(add(X_1153,X_1154)))),inverse(multiply(inverse(add(X_1153,X_1154)),pixley(X_1153,X_1154,n1)))) )],[refute_0_5618,refute_0_5639]) ).
cnf(refute_0_5641,plain,
pixley(X_1153,X_1154,n1) = add(inverse(X_1154),X_1153),
inference(subst,[],[refute_0_5119:[bind(X_1169,$fot(X_1153)),bind(X_848,$fot(X_1154))]]) ).
cnf(refute_0_5642,plain,
inverse(pixley(X_1153,X_1154,n1)) = inverse(pixley(X_1153,X_1154,n1)),
introduced(tautology,[refl,[$fot(inverse(pixley(X_1153,X_1154,n1)))]]) ).
cnf(refute_0_5643,plain,
( inverse(pixley(X_1153,X_1154,n1)) != inverse(pixley(X_1153,X_1154,n1))
| pixley(X_1153,X_1154,n1) != add(inverse(X_1154),X_1153)
| inverse(pixley(X_1153,X_1154,n1)) = inverse(add(inverse(X_1154),X_1153)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(pixley(X_1153,X_1154,n1)),inverse(pixley(X_1153,X_1154,n1))) ),[1,0],$fot(add(inverse(X_1154),X_1153))]]) ).
cnf(refute_0_5644,plain,
( pixley(X_1153,X_1154,n1) != add(inverse(X_1154),X_1153)
| inverse(pixley(X_1153,X_1154,n1)) = inverse(add(inverse(X_1154),X_1153)) ),
inference(resolve,[$cnf( $equal(inverse(pixley(X_1153,X_1154,n1)),inverse(pixley(X_1153,X_1154,n1))) )],[refute_0_5642,refute_0_5643]) ).
cnf(refute_0_5645,plain,
inverse(pixley(X_1153,X_1154,n1)) = inverse(add(inverse(X_1154),X_1153)),
inference(resolve,[$cnf( $equal(pixley(X_1153,X_1154,n1),add(inverse(X_1154),X_1153)) )],[refute_0_5641,refute_0_5644]) ).
cnf(refute_0_5646,plain,
add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),
introduced(tautology,[refl,[$fot(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))))]]) ).
cnf(refute_0_5647,plain,
( add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) != add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))
| inverse(pixley(X_1153,X_1154,n1)) != inverse(add(inverse(X_1154),X_1153))
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))) ),[1,1],$fot(inverse(add(inverse(X_1154),X_1153)))]]) ).
cnf(refute_0_5648,plain,
( inverse(pixley(X_1153,X_1154,n1)) != inverse(add(inverse(X_1154),X_1153))
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))) ),
inference(resolve,[$cnf( $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1)))) )],[refute_0_5646,refute_0_5647]) ).
cnf(refute_0_5649,plain,
add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) = add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))),
inference(resolve,[$cnf( $equal(inverse(pixley(X_1153,X_1154,n1)),inverse(add(inverse(X_1154),X_1153))) )],[refute_0_5645,refute_0_5648]) ).
cnf(refute_0_5650,plain,
( add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) != add(X_1153,X_1154)
| add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) != add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153)))
| add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))) = add(X_1153,X_1154) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),add(X_1153,X_1154)) ),[0],$fot(add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))))]]) ).
cnf(refute_0_5651,plain,
( add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))) != add(X_1153,X_1154)
| add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))) = add(X_1153,X_1154) ),
inference(resolve,[$cnf( $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153)))) )],[refute_0_5649,refute_0_5650]) ).
cnf(refute_0_5652,plain,
add(add(X_1153,X_1154),inverse(add(inverse(X_1154),X_1153))) = add(X_1153,X_1154),
inference(resolve,[$cnf( $equal(add(add(X_1153,X_1154),inverse(pixley(X_1153,X_1154,n1))),add(X_1153,X_1154)) )],[refute_0_5640,refute_0_5651]) ).
cnf(refute_0_5653,plain,
add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)))) = add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),
inference(subst,[],[refute_0_5652:[bind(X_1153,$fot(add(multiply(X_1112,X_1111),X_407))),bind(X_1154,$fot(multiply(X_1111,X_1112)))]]) ).
cnf(refute_0_5654,plain,
add(add(X_377,X_407),inverse(X_377)) = add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)),
inference(subst,[],[refute_0_3411:[bind(Y,$fot(add(X_377,X_407))),bind(X_603,$fot(inverse(X_377)))]]) ).
cnf(refute_0_5655,plain,
( add(add(X_377,X_407),inverse(X_377)) != add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))
| add(add(X_377,X_407),inverse(X_377)) != n1
| n1 = add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_377,X_407),inverse(X_377)),add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))) ),[0],$fot(n1)]]) ).
cnf(refute_0_5656,plain,
( add(add(X_377,X_407),inverse(X_377)) != add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))
| n1 = add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) ),
inference(resolve,[$cnf( $equal(add(add(X_377,X_407),inverse(X_377)),n1) )],[refute_0_3426,refute_0_5655]) ).
cnf(refute_0_5657,plain,
n1 = add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)),
inference(resolve,[$cnf( $equal(add(add(X_377,X_407),inverse(X_377)),add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))) )],[refute_0_5654,refute_0_5656]) ).
cnf(refute_0_5658,plain,
add(add(X_377,X_407),inverse(X_377)) = add(inverse(X_377),add(X_377,X_407)),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(add(X_377,X_407))),bind(X_605,$fot(inverse(X_377)))]]) ).
cnf(refute_0_5659,plain,
add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) = add(add(X_377,X_407),inverse(X_377)),
inference(subst,[],[refute_0_3707:[bind(X_10,$fot(add(X_377,X_407))),bind(X_412,$fot(inverse(X_377)))]]) ).
cnf(refute_0_5660,plain,
( add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) != add(add(X_377,X_407),inverse(X_377))
| add(add(X_377,X_407),inverse(X_377)) != add(inverse(X_377),add(X_377,X_407))
| add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) = add(inverse(X_377),add(X_377,X_407)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))))),bind(Y0,$fot(add(add(X_377,X_407),inverse(X_377)))),bind(Z0,$fot(add(inverse(X_377),add(X_377,X_407))))]]) ).
cnf(refute_0_5661,plain,
( add(add(X_377,X_407),inverse(X_377)) != add(inverse(X_377),add(X_377,X_407))
| add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) = add(inverse(X_377),add(X_377,X_407)) ),
inference(resolve,[$cnf( $equal(add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))),add(add(X_377,X_407),inverse(X_377))) )],[refute_0_5659,refute_0_5660]) ).
cnf(refute_0_5662,plain,
add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) = add(inverse(X_377),add(X_377,X_407)),
inference(resolve,[$cnf( $equal(add(add(X_377,X_407),inverse(X_377)),add(inverse(X_377),add(X_377,X_407))) )],[refute_0_5658,refute_0_5661]) ).
cnf(refute_0_5663,plain,
add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) = add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))),
inference(subst,[],[refute_0_3671:[bind(Y,$fot(add(add(X_377,X_407),inverse(X_377)))),bind(X_605,$fot(add(X_377,X_407)))]]) ).
cnf(refute_0_5664,plain,
( add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) != add(inverse(X_377),add(X_377,X_407))
| add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) != add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377)))
| add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) = add(inverse(X_377),add(X_377,X_407)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)))),bind(Y0,$fot(add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))))),bind(Z0,$fot(add(inverse(X_377),add(X_377,X_407))))]]) ).
cnf(refute_0_5665,plain,
( add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))) != add(inverse(X_377),add(X_377,X_407))
| add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) = add(inverse(X_377),add(X_377,X_407)) ),
inference(resolve,[$cnf( $equal(add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)),add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377)))) )],[refute_0_5663,refute_0_5664]) ).
cnf(refute_0_5666,plain,
add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) = add(inverse(X_377),add(X_377,X_407)),
inference(resolve,[$cnf( $equal(add(add(X_377,X_407),add(add(X_377,X_407),inverse(X_377))),add(inverse(X_377),add(X_377,X_407))) )],[refute_0_5662,refute_0_5665]) ).
cnf(refute_0_5667,plain,
( add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)) != add(inverse(X_377),add(X_377,X_407))
| n1 != add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))
| n1 = add(inverse(X_377),add(X_377,X_407)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))) ),[1],$fot(add(inverse(X_377),add(X_377,X_407)))]]) ).
cnf(refute_0_5668,plain,
( n1 != add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))
| n1 = add(inverse(X_377),add(X_377,X_407)) ),
inference(resolve,[$cnf( $equal(add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407)),add(inverse(X_377),add(X_377,X_407))) )],[refute_0_5666,refute_0_5667]) ).
cnf(refute_0_5669,plain,
n1 = add(inverse(X_377),add(X_377,X_407)),
inference(resolve,[$cnf( $equal(n1,add(add(add(X_377,X_407),inverse(X_377)),add(X_377,X_407))) )],[refute_0_5657,refute_0_5668]) ).
cnf(refute_0_5670,plain,
n1 = add(inverse(multiply(X_1112,X_1111)),add(multiply(X_1112,X_1111),X_407)),
inference(subst,[],[refute_0_5669:[bind(X_377,$fot(multiply(X_1112,X_1111)))]]) ).
cnf(refute_0_5671,plain,
( inverse(multiply(X_1112,X_1111)) != inverse(multiply(X_1111,X_1112))
| n1 != add(inverse(multiply(X_1112,X_1111)),add(multiply(X_1112,X_1111),X_407))
| n1 = add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(multiply(X_1112,X_1111)),add(multiply(X_1112,X_1111),X_407))) ),[1,0],$fot(inverse(multiply(X_1111,X_1112)))]]) ).
cnf(refute_0_5672,plain,
( n1 != add(inverse(multiply(X_1112,X_1111)),add(multiply(X_1112,X_1111),X_407))
| n1 = add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_1112,X_1111)),inverse(multiply(X_1111,X_1112))) )],[refute_0_5145,refute_0_5671]) ).
cnf(refute_0_5673,plain,
n1 = add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)),
inference(resolve,[$cnf( $equal(n1,add(inverse(multiply(X_1112,X_1111)),add(multiply(X_1112,X_1111),X_407))) )],[refute_0_5670,refute_0_5672]) ).
cnf(refute_0_5674,plain,
( n1 != add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407))
| add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407))))]]) ).
cnf(refute_0_5675,plain,
add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)) = n1,
inference(resolve,[$cnf( $equal(n1,add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407))) )],[refute_0_5673,refute_0_5674]) ).
cnf(refute_0_5676,plain,
( add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)))) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)) != n1
| add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)))),add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))) ),[0,1,0],$fot(n1)]]) ).
cnf(refute_0_5677,plain,
( add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)))) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)),n1) )],[refute_0_5675,refute_0_5676]) ).
cnf(refute_0_5678,plain,
add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),
inference(resolve,[$cnf( $equal(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(add(inverse(multiply(X_1111,X_1112)),add(multiply(X_1112,X_1111),X_407)))),add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))) )],[refute_0_5653,refute_0_5677]) ).
cnf(refute_0_5679,plain,
add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))) = add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),
inference(subst,[],[refute_0_2011:[bind(X,$fot(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))))]]) ).
cnf(refute_0_5680,plain,
pixley(X_1168,inverse(add(X_825,X_824)),n1) = add(X_1168,add(X_825,X_824)),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(X_1168)),bind(X_593,$fot(add(X_825,X_824)))]]) ).
cnf(refute_0_5681,plain,
( inverse(add(X_824,X_825)) != inverse(add(X_825,X_824))
| inverse(add(X_825,X_824)) = inverse(add(X_824,X_825)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_824,X_825)))),bind(Y0,$fot(inverse(add(X_825,X_824))))]]) ).
cnf(refute_0_5682,plain,
inverse(add(X_825,X_824)) = inverse(add(X_824,X_825)),
inference(resolve,[$cnf( $equal(inverse(add(X_824,X_825)),inverse(add(X_825,X_824))) )],[refute_0_5404,refute_0_5681]) ).
cnf(refute_0_5683,plain,
( inverse(add(X_825,X_824)) != inverse(add(X_824,X_825))
| pixley(X_1168,inverse(add(X_825,X_824)),n1) != add(X_1168,add(X_825,X_824))
| pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(X_1168,add(X_825,X_824)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1168,inverse(add(X_825,X_824)),n1),add(X_1168,add(X_825,X_824))) ),[0,1],$fot(inverse(add(X_824,X_825)))]]) ).
cnf(refute_0_5684,plain,
( pixley(X_1168,inverse(add(X_825,X_824)),n1) != add(X_1168,add(X_825,X_824))
| pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(X_1168,add(X_825,X_824)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_825,X_824)),inverse(add(X_824,X_825))) )],[refute_0_5682,refute_0_5683]) ).
cnf(refute_0_5685,plain,
pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(X_1168,add(X_825,X_824)),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(add(X_825,X_824)),n1),add(X_1168,add(X_825,X_824))) )],[refute_0_5680,refute_0_5684]) ).
cnf(refute_0_5686,plain,
inverse(inverse(add(X_824,X_825))) = add(X_824,X_825),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(X_824,X_825)))]]) ).
cnf(refute_0_5687,plain,
add(inverse(inverse(add(X_824,X_825))),X_1168) = add(inverse(inverse(add(X_824,X_825))),X_1168),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_824,X_825))),X_1168))]]) ).
cnf(refute_0_5688,plain,
( add(inverse(inverse(add(X_824,X_825))),X_1168) != add(inverse(inverse(add(X_824,X_825))),X_1168)
| inverse(inverse(add(X_824,X_825))) != add(X_824,X_825)
| add(inverse(inverse(add(X_824,X_825))),X_1168) = add(add(X_824,X_825),X_1168) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_824,X_825))),X_1168),add(inverse(inverse(add(X_824,X_825))),X_1168)) ),[1,0],$fot(add(X_824,X_825))]]) ).
cnf(refute_0_5689,plain,
( inverse(inverse(add(X_824,X_825))) != add(X_824,X_825)
| add(inverse(inverse(add(X_824,X_825))),X_1168) = add(add(X_824,X_825),X_1168) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_824,X_825))),X_1168),add(inverse(inverse(add(X_824,X_825))),X_1168)) )],[refute_0_5687,refute_0_5688]) ).
cnf(refute_0_5690,plain,
add(inverse(inverse(add(X_824,X_825))),X_1168) = add(add(X_824,X_825),X_1168),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_824,X_825))),add(X_824,X_825)) )],[refute_0_5686,refute_0_5689]) ).
cnf(refute_0_5691,plain,
pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(inverse(inverse(add(X_824,X_825))),X_1168),
inference(subst,[],[refute_0_5119:[bind(X_1169,$fot(X_1168)),bind(X_848,$fot(inverse(add(X_824,X_825))))]]) ).
cnf(refute_0_5692,plain,
( add(inverse(inverse(add(X_824,X_825))),X_1168) != add(add(X_824,X_825),X_1168)
| pixley(X_1168,inverse(add(X_824,X_825)),n1) != add(inverse(inverse(add(X_824,X_825))),X_1168)
| pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(add(X_824,X_825),X_1168) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X_1168,inverse(add(X_824,X_825)),n1))),bind(Y0,$fot(add(inverse(inverse(add(X_824,X_825))),X_1168))),bind(Z0,$fot(add(add(X_824,X_825),X_1168)))]]) ).
cnf(refute_0_5693,plain,
( add(inverse(inverse(add(X_824,X_825))),X_1168) != add(add(X_824,X_825),X_1168)
| pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(add(X_824,X_825),X_1168) ),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(add(X_824,X_825)),n1),add(inverse(inverse(add(X_824,X_825))),X_1168)) )],[refute_0_5691,refute_0_5692]) ).
cnf(refute_0_5694,plain,
pixley(X_1168,inverse(add(X_824,X_825)),n1) = add(add(X_824,X_825),X_1168),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_824,X_825))),X_1168),add(add(X_824,X_825),X_1168)) )],[refute_0_5690,refute_0_5693]) ).
cnf(refute_0_5695,plain,
( pixley(X_1168,inverse(add(X_824,X_825)),n1) != add(X_1168,add(X_825,X_824))
| pixley(X_1168,inverse(add(X_824,X_825)),n1) != add(add(X_824,X_825),X_1168)
| add(add(X_824,X_825),X_1168) = add(X_1168,add(X_825,X_824)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_1168,inverse(add(X_824,X_825)),n1),add(X_1168,add(X_825,X_824))) ),[0],$fot(add(add(X_824,X_825),X_1168))]]) ).
cnf(refute_0_5696,plain,
( pixley(X_1168,inverse(add(X_824,X_825)),n1) != add(X_1168,add(X_825,X_824))
| add(add(X_824,X_825),X_1168) = add(X_1168,add(X_825,X_824)) ),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(add(X_824,X_825)),n1),add(add(X_824,X_825),X_1168)) )],[refute_0_5694,refute_0_5695]) ).
cnf(refute_0_5697,plain,
add(add(X_824,X_825),X_1168) = add(X_1168,add(X_825,X_824)),
inference(resolve,[$cnf( $equal(pixley(X_1168,inverse(add(X_824,X_825)),n1),add(X_1168,add(X_825,X_824))) )],[refute_0_5685,refute_0_5696]) ).
cnf(refute_0_5698,plain,
add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))),
inference(subst,[],[refute_0_5697:[bind(X_1168,$fot(inverse(n1))),bind(X_824,$fot(add(multiply(X_1112,X_1111),X_407))),bind(X_825,$fot(multiply(X_1111,X_1112)))]]) ).
cnf(refute_0_5699,plain,
( add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) != add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)))
| add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))) != add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))
| add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)))),bind(Y0,$fot(add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))))),bind(Z0,$fot(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))))]]) ).
cnf(refute_0_5700,plain,
( add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))) != add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))
| add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) ),
inference(resolve,[$cnf( $equal(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)),add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)))) )],[refute_0_5698,refute_0_5699]) ).
cnf(refute_0_5701,plain,
add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) = add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),
inference(resolve,[$cnf( $equal(add(inverse(n1),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))) )],[refute_0_5679,refute_0_5700]) ).
cnf(refute_0_5702,plain,
( add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) != add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))
| add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)),add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))) ),[0],$fot(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)))]]) ).
cnf(refute_0_5703,plain,
( add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)) ),
inference(resolve,[$cnf( $equal(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)),add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407))) )],[refute_0_5701,refute_0_5702]) ).
cnf(refute_0_5704,plain,
add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))),
inference(subst,[],[refute_0_5697:[bind(X_1168,$fot(multiply(X_1111,X_1112))),bind(X_824,$fot(multiply(X_1112,X_1111))),bind(X_825,$fot(X_407))]]) ).
cnf(refute_0_5705,plain,
( add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)) != add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))
| add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))) ),[0],$fot(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)))]]) ).
cnf(refute_0_5706,plain,
( add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))) )],[refute_0_5704,refute_0_5705]) ).
cnf(refute_0_5707,plain,
( add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)) != add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))
| add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))) )],[refute_0_5703,refute_0_5706]) ).
cnf(refute_0_5708,plain,
add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))),
inference(resolve,[$cnf( $equal(add(add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112)),inverse(n1)),add(add(multiply(X_1112,X_1111),X_407),multiply(X_1111,X_1112))) )],[refute_0_5678,refute_0_5707]) ).
cnf(refute_0_5709,plain,
multiply(add(X_808,X_809),add(X_808,inverse(multiply(X_808,X_379)))) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808),
inference(subst,[],[refute_0_4147:[bind(Y,$fot(X_808)),bind(X_407,$fot(X_809)),bind(X_786,$fot(multiply(X_808,X_379)))]]) ).
cnf(refute_0_5710,plain,
n1 = add(X_808,inverse(multiply(X_808,X_379))),
inference(subst,[],[refute_0_4688:[bind(X_281,$fot(X_808))]]) ).
cnf(refute_0_5711,plain,
( n1 != add(X_808,inverse(multiply(X_808,X_379)))
| add(X_808,inverse(multiply(X_808,X_379))) = n1 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(n1)),bind(Y0,$fot(add(X_808,inverse(multiply(X_808,X_379)))))]]) ).
cnf(refute_0_5712,plain,
add(X_808,inverse(multiply(X_808,X_379))) = n1,
inference(resolve,[$cnf( $equal(n1,add(X_808,inverse(multiply(X_808,X_379)))) )],[refute_0_5710,refute_0_5711]) ).
cnf(refute_0_5713,plain,
( multiply(add(X_808,X_809),add(X_808,inverse(multiply(X_808,X_379)))) != pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)
| add(X_808,inverse(multiply(X_808,X_379))) != n1
| multiply(add(X_808,X_809),n1) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_808,X_809),add(X_808,inverse(multiply(X_808,X_379)))),pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)) ),[0,1],$fot(n1)]]) ).
cnf(refute_0_5714,plain,
( multiply(add(X_808,X_809),add(X_808,inverse(multiply(X_808,X_379)))) != pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)
| multiply(add(X_808,X_809),n1) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808) ),
inference(resolve,[$cnf( $equal(add(X_808,inverse(multiply(X_808,X_379))),n1) )],[refute_0_5712,refute_0_5713]) ).
cnf(refute_0_5715,plain,
multiply(add(X_808,X_809),n1) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),add(X_808,inverse(multiply(X_808,X_379)))),pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)) )],[refute_0_5709,refute_0_5714]) ).
cnf(refute_0_5716,plain,
multiply(n1,add(X_808,X_809)) = add(X_808,X_809),
inference(subst,[],[refute_0_1881:[bind(X_26,$fot(add(X_808,X_809)))]]) ).
cnf(refute_0_5717,plain,
multiply(add(X_808,X_809),n1) = multiply(n1,add(X_808,X_809)),
inference(subst,[],[refute_0_4546:[bind(X_278,$fot(n1)),bind(X_553,$fot(X_808)),bind(X_554,$fot(X_809))]]) ).
cnf(refute_0_5718,plain,
( multiply(add(X_808,X_809),n1) != multiply(n1,add(X_808,X_809))
| multiply(n1,add(X_808,X_809)) != add(X_808,X_809)
| multiply(add(X_808,X_809),n1) = add(X_808,X_809) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(X_808,X_809),n1))),bind(Y0,$fot(multiply(n1,add(X_808,X_809)))),bind(Z0,$fot(add(X_808,X_809)))]]) ).
cnf(refute_0_5719,plain,
( multiply(n1,add(X_808,X_809)) != add(X_808,X_809)
| multiply(add(X_808,X_809),n1) = add(X_808,X_809) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),n1),multiply(n1,add(X_808,X_809))) )],[refute_0_5717,refute_0_5718]) ).
cnf(refute_0_5720,plain,
multiply(add(X_808,X_809),n1) = add(X_808,X_809),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_808,X_809)),add(X_808,X_809)) )],[refute_0_5716,refute_0_5719]) ).
cnf(refute_0_5721,plain,
( multiply(add(X_808,X_809),n1) != add(X_808,X_809)
| multiply(add(X_808,X_809),n1) != pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)
| add(X_808,X_809) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_808,X_809),n1),pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)) ),[0],$fot(add(X_808,X_809))]]) ).
cnf(refute_0_5722,plain,
( multiply(add(X_808,X_809),n1) != pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)
| add(X_808,X_809) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808) ),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),n1),add(X_808,X_809)) )],[refute_0_5720,refute_0_5721]) ).
cnf(refute_0_5723,plain,
add(X_808,X_809) = pixley(add(X_809,X_808),multiply(X_808,X_379),X_808),
inference(resolve,[$cnf( $equal(multiply(add(X_808,X_809),n1),pixley(add(X_809,X_808),multiply(X_808,X_379),X_808)) )],[refute_0_5715,refute_0_5722]) ).
cnf(refute_0_5724,plain,
add(multiply(X_1178,X_1179),X_809) = pixley(add(X_809,multiply(X_1178,X_1179)),multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),multiply(X_1178,X_1179)),
inference(subst,[],[refute_0_5723:[bind(X_379,$fot(inverse(add(X_1179,X_1180)))),bind(X_808,$fot(multiply(X_1178,X_1179)))]]) ).
cnf(refute_0_5725,plain,
inverse(n1) = multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),
inference(subst,[],[refute_0_5183:[bind(X_1157,$fot(X_1178)),bind(X_1158,$fot(X_1179)),bind(X_1159,$fot(X_1180))]]) ).
cnf(refute_0_5726,plain,
( inverse(n1) != multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180)))
| multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))) = inverse(n1) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180)))))]]) ).
cnf(refute_0_5727,plain,
multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180)))) )],[refute_0_5725,refute_0_5726]) ).
cnf(refute_0_5728,plain,
( multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))) != inverse(n1)
| add(multiply(X_1178,X_1179),X_809) != pixley(add(X_809,multiply(X_1178,X_1179)),multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),multiply(X_1178,X_1179))
| add(multiply(X_1178,X_1179),X_809) = pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1178,X_1179),X_809),pixley(add(X_809,multiply(X_1178,X_1179)),multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),multiply(X_1178,X_1179))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_5729,plain,
( add(multiply(X_1178,X_1179),X_809) != pixley(add(X_809,multiply(X_1178,X_1179)),multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),multiply(X_1178,X_1179))
| add(multiply(X_1178,X_1179),X_809) = pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),inverse(n1)) )],[refute_0_5727,refute_0_5728]) ).
cnf(refute_0_5730,plain,
add(multiply(X_1178,X_1179),X_809) = pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)),
inference(resolve,[$cnf( $equal(add(multiply(X_1178,X_1179),X_809),pixley(add(X_809,multiply(X_1178,X_1179)),multiply(multiply(X_1178,X_1179),inverse(add(X_1179,X_1180))),multiply(X_1178,X_1179))) )],[refute_0_5724,refute_0_5729]) ).
cnf(refute_0_5731,plain,
inverse(inverse(add(multiply(X_1178,X_1179),X_809))) = add(multiply(X_1178,X_1179),X_809),
inference(subst,[],[refute_0_2358:[bind(Y,$fot(add(multiply(X_1178,X_1179),X_809)))]]) ).
cnf(refute_0_5732,plain,
add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),
introduced(tautology,[refl,[$fot(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))))]]) ).
cnf(refute_0_5733,plain,
( add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) != add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))
| inverse(inverse(add(multiply(X_1178,X_1179),X_809))) != add(multiply(X_1178,X_1179),X_809)
| add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))) ),[1,1],$fot(add(multiply(X_1178,X_1179),X_809))]]) ).
cnf(refute_0_5734,plain,
( inverse(inverse(add(multiply(X_1178,X_1179),X_809))) != add(multiply(X_1178,X_1179),X_809)
| add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))) )],[refute_0_5732,refute_0_5733]) ).
cnf(refute_0_5735,plain,
add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),add(multiply(X_1178,X_1179),X_809)) )],[refute_0_5731,refute_0_5734]) ).
cnf(refute_0_5736,plain,
( add(multiply(X_804,X_281),X_1168) != add(X_1168,multiply(X_281,X_804))
| add(X_1168,multiply(X_281,X_804)) = add(multiply(X_804,X_281),X_1168) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_804,X_281),X_1168))),bind(Y0,$fot(add(X_1168,multiply(X_281,X_804))))]]) ).
cnf(refute_0_5737,plain,
add(X_1168,multiply(X_281,X_804)) = add(multiply(X_804,X_281),X_1168),
inference(resolve,[$cnf( $equal(add(multiply(X_804,X_281),X_1168),add(X_1168,multiply(X_281,X_804))) )],[refute_0_5126,refute_0_5736]) ).
cnf(refute_0_5738,plain,
add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),
inference(subst,[],[refute_0_5737:[bind(X_1168,$fot(inverse(inverse(add(multiply(X_1178,X_1179),X_809))))),bind(X_281,$fot(X_1178)),bind(X_804,$fot(X_1179))]]) ).
cnf(refute_0_5739,plain,
pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) = add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179)),
inference(subst,[],[refute_0_5197:[bind(Y,$fot(inverse(add(multiply(X_1178,X_1179),X_809)))),bind(Z,$fot(multiply(X_1178,X_1179)))]]) ).
cnf(refute_0_5740,plain,
( add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179)) != add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))
| pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) != add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179))
| pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)))),bind(Y0,$fot(add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179)))),bind(Z0,$fot(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))))]]) ).
cnf(refute_0_5741,plain,
( add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179)) != add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))
| pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) ),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)),add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179))) )],[refute_0_5739,refute_0_5740]) ).
cnf(refute_0_5742,plain,
pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(multiply(X_1178,X_1179),X_809))),multiply(X_1178,X_1179)),add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))) )],[refute_0_5738,refute_0_5741]) ).
cnf(refute_0_5743,plain,
pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)),
inference(subst,[],[refute_0_5408:[bind(Y,$fot(n1)),bind(X_1098,$fot(X_809)),bind(X_1099,$fot(multiply(X_1178,X_1179))),bind(X_841,$fot(multiply(X_1178,X_1179)))]]) ).
cnf(refute_0_5744,plain,
( pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) != pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179))
| pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) != add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))
| pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)))),bind(Y0,$fot(pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)))),bind(Z0,$fot(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))))]]) ).
cnf(refute_0_5745,plain,
( pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)) != add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))
| pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) ),
inference(resolve,[$cnf( $equal(pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)),pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179))) )],[refute_0_5743,refute_0_5744]) ).
cnf(refute_0_5746,plain,
pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),
inference(resolve,[$cnf( $equal(pixley(n1,inverse(add(multiply(X_1178,X_1179),X_809)),multiply(X_1178,X_1179)),add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))) )],[refute_0_5742,refute_0_5745]) ).
cnf(refute_0_5747,plain,
( add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) != add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))
| pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) != add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))
| pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)))),bind(Y0,$fot(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))))),bind(Z0,$fot(add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))))]]) ).
cnf(refute_0_5748,plain,
( add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))) != add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))
| pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) ),
inference(resolve,[$cnf( $equal(pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)),add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809))))) )],[refute_0_5746,refute_0_5747]) ).
cnf(refute_0_5749,plain,
pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)),
inference(resolve,[$cnf( $equal(add(multiply(X_1179,X_1178),inverse(inverse(add(multiply(X_1178,X_1179),X_809)))),add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))) )],[refute_0_5735,refute_0_5748]) ).
cnf(refute_0_5750,plain,
( add(multiply(X_1178,X_1179),X_809) != pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179))
| pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)) != add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))
| add(multiply(X_1178,X_1179),X_809) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_1178,X_1179),X_809),add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))) ),[0],$fot(pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)))]]) ).
cnf(refute_0_5751,plain,
( add(multiply(X_1178,X_1179),X_809) != pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179))
| add(multiply(X_1178,X_1179),X_809) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) ),
inference(resolve,[$cnf( $equal(pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179)),add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))) )],[refute_0_5749,refute_0_5750]) ).
cnf(refute_0_5752,plain,
add(multiply(X_1178,X_1179),X_809) = add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)),
inference(resolve,[$cnf( $equal(add(multiply(X_1178,X_1179),X_809),pixley(add(X_809,multiply(X_1178,X_1179)),inverse(n1),multiply(X_1178,X_1179))) )],[refute_0_5730,refute_0_5751]) ).
cnf(refute_0_5753,plain,
( add(multiply(X_1178,X_1179),X_809) != add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))
| add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) = add(multiply(X_1178,X_1179),X_809) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_1178,X_1179),X_809))),bind(Y0,$fot(add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))))]]) ).
cnf(refute_0_5754,plain,
add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809)) = add(multiply(X_1178,X_1179),X_809),
inference(resolve,[$cnf( $equal(add(multiply(X_1178,X_1179),X_809),add(multiply(X_1179,X_1178),add(multiply(X_1178,X_1179),X_809))) )],[refute_0_5752,refute_0_5753]) ).
cnf(refute_0_5755,plain,
add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) = add(multiply(X_1112,X_1111),X_407),
inference(subst,[],[refute_0_5754:[bind(X_1178,$fot(X_1112)),bind(X_1179,$fot(X_1111)),bind(X_809,$fot(X_407))]]) ).
cnf(refute_0_5756,plain,
( add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) != add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))
| add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) != add(multiply(X_1112,X_1111),X_407)
| add(multiply(X_1112,X_1111),X_407) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))) ),[0],$fot(add(multiply(X_1112,X_1111),X_407))]]) ).
cnf(refute_0_5757,plain,
( add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)) != add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))
| add(multiply(X_1112,X_1111),X_407) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),add(multiply(X_1112,X_1111),X_407)) )],[refute_0_5755,refute_0_5756]) ).
cnf(refute_0_5758,plain,
add(multiply(X_1112,X_1111),X_407) = add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))),
inference(resolve,[$cnf( $equal(add(multiply(X_1111,X_1112),add(multiply(X_1112,X_1111),X_407)),add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))) )],[refute_0_5708,refute_0_5757]) ).
cnf(refute_0_5759,plain,
( add(multiply(X_1112,X_1111),X_407) != add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))
| add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) = add(multiply(X_1112,X_1111),X_407) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_1112,X_1111),X_407))),bind(Y0,$fot(add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))))]]) ).
cnf(refute_0_5760,plain,
add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111))) = add(multiply(X_1112,X_1111),X_407),
inference(resolve,[$cnf( $equal(add(multiply(X_1112,X_1111),X_407),add(multiply(X_1111,X_1112),add(X_407,multiply(X_1112,X_1111)))) )],[refute_0_5758,refute_0_5759]) ).
cnf(refute_0_5761,plain,
add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) = add(multiply(X_281,X_1382),X_1381),
inference(subst,[],[refute_0_5760:[bind(X_1111,$fot(X_1382)),bind(X_1112,$fot(X_281)),bind(X_407,$fot(X_1381))]]) ).
cnf(refute_0_5762,plain,
( add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) != add(X_1381,multiply(X_1382,X_281))
| add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) != add(multiply(X_281,X_1382),X_1381)
| add(multiply(X_281,X_1382),X_1381) = add(X_1381,multiply(X_1382,X_281)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))),add(X_1381,multiply(X_1382,X_281))) ),[0],$fot(add(multiply(X_281,X_1382),X_1381))]]) ).
cnf(refute_0_5763,plain,
( add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))) != add(X_1381,multiply(X_1382,X_281))
| add(multiply(X_281,X_1382),X_1381) = add(X_1381,multiply(X_1382,X_281)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))),add(multiply(X_281,X_1382),X_1381)) )],[refute_0_5761,refute_0_5762]) ).
cnf(refute_0_5764,plain,
add(multiply(X_281,X_1382),X_1381) = add(X_1381,multiply(X_1382,X_281)),
inference(resolve,[$cnf( $equal(add(multiply(X_1382,X_281),add(X_1381,multiply(X_281,X_1382))),add(X_1381,multiply(X_1382,X_281))) )],[refute_0_5492,refute_0_5763]) ).
cnf(refute_0_5765,plain,
add(multiply(b,c),a) = add(a,multiply(c,b)),
inference(subst,[],[refute_0_5764:[bind(X_1381,$fot(a)),bind(X_1382,$fot(c)),bind(X_281,$fot(b))]]) ).
cnf(refute_0_5766,plain,
( add(multiply(b,c),a) != add(a,multiply(c,b))
| add(a,multiply(c,b)) != add(a,multiply(b,c))
| add(multiply(b,c),a) = add(a,multiply(b,c)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(b,c),a))),bind(Y0,$fot(add(a,multiply(c,b)))),bind(Z0,$fot(add(a,multiply(b,c))))]]) ).
cnf(refute_0_5767,plain,
( add(a,multiply(c,b)) != add(a,multiply(b,c))
| add(multiply(b,c),a) = add(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(add(multiply(b,c),a),add(a,multiply(c,b))) )],[refute_0_5765,refute_0_5766]) ).
cnf(refute_0_5768,plain,
add(multiply(b,c),a) = add(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(add(a,multiply(c,b)),add(a,multiply(b,c))) )],[refute_0_4639,refute_0_5767]) ).
cnf(refute_0_5769,plain,
pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = add(multiply(X_589,multiply(X_599,add(X_589,X_600))),add(X_589,multiply(X_599,add(X_589,X_600)))),
inference(subst,[],[refute_0_2229:[bind(X_591,$fot(multiply(X_599,add(X_589,X_600))))]]) ).
cnf(refute_0_5770,plain,
multiply(add(X_589,X_600),add(X_589,X_599)) = add(X_589,multiply(X_599,add(X_589,X_600))),
inference(subst,[],[refute_0_3277:[bind(Y,$fot(X_589)),bind(Z,$fot(X_599)),bind(X_407,$fot(X_600))]]) ).
cnf(refute_0_5771,plain,
( multiply(add(X_589,X_600),add(X_589,X_599)) != add(X_589,multiply(X_599,add(X_589,X_600)))
| add(X_589,multiply(X_599,add(X_589,X_600))) = multiply(add(X_589,X_600),add(X_589,X_599)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_589,X_600),add(X_589,X_599)))),bind(Y0,$fot(add(X_589,multiply(X_599,add(X_589,X_600)))))]]) ).
cnf(refute_0_5772,plain,
add(X_589,multiply(X_599,add(X_589,X_600))) = multiply(add(X_589,X_600),add(X_589,X_599)),
inference(resolve,[$cnf( $equal(multiply(add(X_589,X_600),add(X_589,X_599)),add(X_589,multiply(X_599,add(X_589,X_600)))) )],[refute_0_5770,refute_0_5771]) ).
cnf(refute_0_5773,plain,
( add(X_589,multiply(X_599,add(X_589,X_600))) != multiply(add(X_589,X_600),add(X_589,X_599))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != add(multiply(X_589,multiply(X_599,add(X_589,X_600))),add(X_589,multiply(X_599,add(X_589,X_600))))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),add(multiply(X_589,multiply(X_599,add(X_589,X_600))),add(X_589,multiply(X_599,add(X_589,X_600))))) ),[1,1],$fot(multiply(add(X_589,X_600),add(X_589,X_599)))]]) ).
cnf(refute_0_5774,plain,
( pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != add(multiply(X_589,multiply(X_599,add(X_589,X_600))),add(X_589,multiply(X_599,add(X_589,X_600))))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) ),
inference(resolve,[$cnf( $equal(add(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) )],[refute_0_5772,refute_0_5773]) ).
cnf(refute_0_5775,plain,
pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),add(multiply(X_589,multiply(X_599,add(X_589,X_600))),add(X_589,multiply(X_599,add(X_589,X_600))))) )],[refute_0_5769,refute_0_5774]) ).
cnf(refute_0_5776,plain,
( pixley(X,inverse(X_262),Z) != add(multiply(X,X_262),multiply(Z,add(X,X_262)))
| add(multiply(X,X_262),multiply(Z,add(X,X_262))) = pixley(X,inverse(X_262),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X,inverse(X_262),Z))),bind(Y0,$fot(add(multiply(X,X_262),multiply(Z,add(X,X_262)))))]]) ).
cnf(refute_0_5777,plain,
add(multiply(X,X_262),multiply(Z,add(X,X_262))) = pixley(X,inverse(X_262),Z),
inference(resolve,[$cnf( $equal(pixley(X,inverse(X_262),Z),add(multiply(X,X_262),multiply(Z,add(X,X_262)))) )],[refute_0_2222,refute_0_5776]) ).
cnf(refute_0_5778,plain,
add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))) = pixley(X_589,inverse(X_599),add(X_589,X_600)),
inference(subst,[],[refute_0_5777:[bind(X,$fot(X_589)),bind(Z,$fot(add(X_589,X_600))),bind(X_262,$fot(X_599))]]) ).
cnf(refute_0_5779,plain,
multiply(X_589,multiply(X_599,add(X_589,X_600))) = multiply(X_589,X_599),
inference(subst,[],[refute_0_4047:[bind(X_281,$fot(X_599)),bind(X_783,$fot(X_589)),bind(X_784,$fot(X_600))]]) ).
cnf(refute_0_5780,plain,
add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))),
introduced(tautology,[refl,[$fot(add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))))]]) ).
cnf(refute_0_5781,plain,
( multiply(X_589,multiply(X_599,add(X_589,X_600))) != multiply(X_589,X_599)
| add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) != add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))
| add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))),add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))) ),[1,0],$fot(multiply(X_589,X_599))]]) ).
cnf(refute_0_5782,plain,
( multiply(X_589,multiply(X_599,add(X_589,X_600))) != multiply(X_589,X_599)
| add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))),add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))) )],[refute_0_5780,refute_0_5781]) ).
cnf(refute_0_5783,plain,
add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))),
inference(resolve,[$cnf( $equal(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(X_589,X_599)) )],[refute_0_5779,refute_0_5782]) ).
cnf(refute_0_5784,plain,
( add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) != add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599)))
| add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = pixley(X_589,inverse(X_599),add(X_589,X_600)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))))),bind(Y0,$fot(add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))))),bind(Z0,$fot(pixley(X_589,inverse(X_599),add(X_589,X_600))))]]) ).
cnf(refute_0_5785,plain,
( add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = pixley(X_589,inverse(X_599),add(X_589,X_600)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))),add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599)))) )],[refute_0_5783,refute_0_5784]) ).
cnf(refute_0_5786,plain,
add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) = pixley(X_589,inverse(X_599),add(X_589,X_600)),
inference(resolve,[$cnf( $equal(add(multiply(X_589,X_599),multiply(add(X_589,X_600),add(X_589,X_599))),pixley(X_589,inverse(X_599),add(X_589,X_600))) )],[refute_0_5778,refute_0_5785]) ).
cnf(refute_0_5787,plain,
( add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = pixley(X_589,inverse(X_599),add(X_589,X_600)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))) ),[1],$fot(pixley(X_589,inverse(X_599),add(X_589,X_600)))]]) ).
cnf(refute_0_5788,plain,
( pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = pixley(X_589,inverse(X_599),add(X_589,X_600)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))),pixley(X_589,inverse(X_599),add(X_589,X_600))) )],[refute_0_5786,refute_0_5787]) ).
cnf(refute_0_5789,plain,
pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = pixley(X_589,inverse(X_599),add(X_589,X_600)),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),add(multiply(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599)))) )],[refute_0_5775,refute_0_5788]) ).
cnf(refute_0_5790,plain,
pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = add(X_589,multiply(X_599,add(X_589,X_600))),
inference(subst,[],[refute_0_4628:[bind(X_592,$fot(X_589)),bind(X_593,$fot(multiply(X_599,add(X_589,X_600))))]]) ).
cnf(refute_0_5791,plain,
( add(X_589,multiply(X_599,add(X_589,X_600))) != multiply(add(X_589,X_600),add(X_589,X_599))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != add(X_589,multiply(X_599,add(X_589,X_600)))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = multiply(add(X_589,X_600),add(X_589,X_599)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1))),bind(Y0,$fot(add(X_589,multiply(X_599,add(X_589,X_600))))),bind(Z0,$fot(multiply(add(X_589,X_600),add(X_589,X_599))))]]) ).
cnf(refute_0_5792,plain,
( add(X_589,multiply(X_599,add(X_589,X_600))) != multiply(add(X_589,X_600),add(X_589,X_599))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = multiply(add(X_589,X_600),add(X_589,X_599)) ),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),add(X_589,multiply(X_599,add(X_589,X_600)))) )],[refute_0_5790,refute_0_5791]) ).
cnf(refute_0_5793,plain,
pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) = multiply(add(X_589,X_600),add(X_589,X_599)),
inference(resolve,[$cnf( $equal(add(X_589,multiply(X_599,add(X_589,X_600))),multiply(add(X_589,X_600),add(X_589,X_599))) )],[refute_0_5772,refute_0_5792]) ).
cnf(refute_0_5794,plain,
( pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != multiply(add(X_589,X_600),add(X_589,X_599))
| pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| multiply(add(X_589,X_600),add(X_589,X_599)) = pixley(X_589,inverse(X_599),add(X_589,X_600)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),pixley(X_589,inverse(X_599),add(X_589,X_600))) ),[0],$fot(multiply(add(X_589,X_600),add(X_589,X_599)))]]) ).
cnf(refute_0_5795,plain,
( pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| multiply(add(X_589,X_600),add(X_589,X_599)) = pixley(X_589,inverse(X_599),add(X_589,X_600)) ),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),multiply(add(X_589,X_600),add(X_589,X_599))) )],[refute_0_5793,refute_0_5794]) ).
cnf(refute_0_5796,plain,
multiply(add(X_589,X_600),add(X_589,X_599)) = pixley(X_589,inverse(X_599),add(X_589,X_600)),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(multiply(X_599,add(X_589,X_600))),n1),pixley(X_589,inverse(X_599),add(X_589,X_600))) )],[refute_0_5789,refute_0_5795]) ).
cnf(refute_0_5797,plain,
inverse(inverse(X_599)) = X_599,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_599))]]) ).
cnf(refute_0_5798,plain,
multiply(X_600,inverse(inverse(X_599))) = multiply(X_600,inverse(inverse(X_599))),
introduced(tautology,[refl,[$fot(multiply(X_600,inverse(inverse(X_599))))]]) ).
cnf(refute_0_5799,plain,
( multiply(X_600,inverse(inverse(X_599))) != multiply(X_600,inverse(inverse(X_599)))
| inverse(inverse(X_599)) != X_599
| multiply(X_600,inverse(inverse(X_599))) = multiply(X_600,X_599) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_600,inverse(inverse(X_599))),multiply(X_600,inverse(inverse(X_599)))) ),[1,1],$fot(X_599)]]) ).
cnf(refute_0_5800,plain,
( inverse(inverse(X_599)) != X_599
| multiply(X_600,inverse(inverse(X_599))) = multiply(X_600,X_599) ),
inference(resolve,[$cnf( $equal(multiply(X_600,inverse(inverse(X_599))),multiply(X_600,inverse(inverse(X_599)))) )],[refute_0_5798,refute_0_5799]) ).
cnf(refute_0_5801,plain,
multiply(X_600,inverse(inverse(X_599))) = multiply(X_600,X_599),
inference(resolve,[$cnf( $equal(inverse(inverse(X_599)),X_599) )],[refute_0_5797,refute_0_5800]) ).
cnf(refute_0_5802,plain,
add(multiply(X_600,inverse(inverse(X_599))),X_589) = add(multiply(X_600,inverse(inverse(X_599))),X_589),
introduced(tautology,[refl,[$fot(add(multiply(X_600,inverse(inverse(X_599))),X_589))]]) ).
cnf(refute_0_5803,plain,
( multiply(X_600,inverse(inverse(X_599))) != multiply(X_600,X_599)
| add(multiply(X_600,inverse(inverse(X_599))),X_589) != add(multiply(X_600,inverse(inverse(X_599))),X_589)
| add(multiply(X_600,inverse(inverse(X_599))),X_589) = add(multiply(X_600,X_599),X_589) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_600,inverse(inverse(X_599))),X_589),add(multiply(X_600,inverse(inverse(X_599))),X_589)) ),[1,0],$fot(multiply(X_600,X_599))]]) ).
cnf(refute_0_5804,plain,
( multiply(X_600,inverse(inverse(X_599))) != multiply(X_600,X_599)
| add(multiply(X_600,inverse(inverse(X_599))),X_589) = add(multiply(X_600,X_599),X_589) ),
inference(resolve,[$cnf( $equal(add(multiply(X_600,inverse(inverse(X_599))),X_589),add(multiply(X_600,inverse(inverse(X_599))),X_589)) )],[refute_0_5802,refute_0_5803]) ).
cnf(refute_0_5805,plain,
add(multiply(X_600,inverse(inverse(X_599))),X_589) = add(multiply(X_600,X_599),X_589),
inference(resolve,[$cnf( $equal(multiply(X_600,inverse(inverse(X_599))),multiply(X_600,X_599)) )],[refute_0_5801,refute_0_5804]) ).
cnf(refute_0_5806,plain,
pixley(X,inverse(inverse(X_810)),add(X,X_809)) = add(multiply(X,inverse(X_810)),multiply(add(X,X_809),add(X,inverse(X_810)))),
inference(subst,[],[refute_0_2222:[bind(Z,$fot(add(X,X_809))),bind(X_262,$fot(inverse(X_810)))]]) ).
cnf(refute_0_5807,plain,
multiply(add(X,X_809),add(X,inverse(X_810))) = pixley(add(X_809,X),X_810,X),
inference(subst,[],[refute_0_4147:[bind(Y,$fot(X)),bind(X_407,$fot(X_809)),bind(X_786,$fot(X_810))]]) ).
cnf(refute_0_5808,plain,
( multiply(add(X,X_809),add(X,inverse(X_810))) != pixley(add(X_809,X),X_810,X)
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) != add(multiply(X,inverse(X_810)),multiply(add(X,X_809),add(X,inverse(X_810))))
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),add(multiply(X,inverse(X_810)),multiply(add(X,X_809),add(X,inverse(X_810))))) ),[1,1],$fot(pixley(add(X_809,X),X_810,X))]]) ).
cnf(refute_0_5809,plain,
( pixley(X,inverse(inverse(X_810)),add(X,X_809)) != add(multiply(X,inverse(X_810)),multiply(add(X,X_809),add(X,inverse(X_810))))
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_809),add(X,inverse(X_810))),pixley(add(X_809,X),X_810,X)) )],[refute_0_5807,refute_0_5808]) ).
cnf(refute_0_5810,plain,
pixley(X,inverse(inverse(X_810)),add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),add(multiply(X,inverse(X_810)),multiply(add(X,X_809),add(X,inverse(X_810))))) )],[refute_0_5806,refute_0_5809]) ).
cnf(refute_0_5811,plain,
inverse(inverse(X_810)) = X_810,
inference(subst,[],[refute_0_2358:[bind(Y,$fot(X_810))]]) ).
cnf(refute_0_5812,plain,
pixley(X,inverse(inverse(X_810)),add(X,X_809)) = pixley(X,inverse(inverse(X_810)),add(X,X_809)),
introduced(tautology,[refl,[$fot(pixley(X,inverse(inverse(X_810)),add(X,X_809)))]]) ).
cnf(refute_0_5813,plain,
( inverse(inverse(X_810)) != X_810
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) != pixley(X,inverse(inverse(X_810)),add(X,X_809))
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) = pixley(X,X_810,add(X,X_809)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),pixley(X,inverse(inverse(X_810)),add(X,X_809))) ),[1,1],$fot(X_810)]]) ).
cnf(refute_0_5814,plain,
( inverse(inverse(X_810)) != X_810
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) = pixley(X,X_810,add(X,X_809)) ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),pixley(X,inverse(inverse(X_810)),add(X,X_809))) )],[refute_0_5812,refute_0_5813]) ).
cnf(refute_0_5815,plain,
pixley(X,inverse(inverse(X_810)),add(X,X_809)) = pixley(X,X_810,add(X,X_809)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_810)),X_810) )],[refute_0_5811,refute_0_5814]) ).
cnf(refute_0_5816,plain,
( pixley(X,inverse(inverse(X_810)),add(X,X_809)) != add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))
| pixley(X,inverse(inverse(X_810)),add(X,X_809)) != pixley(X,X_810,add(X,X_809))
| pixley(X,X_810,add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))) ),[0],$fot(pixley(X,X_810,add(X,X_809)))]]) ).
cnf(refute_0_5817,plain,
( pixley(X,inverse(inverse(X_810)),add(X,X_809)) != add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))
| pixley(X,X_810,add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) ),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),pixley(X,X_810,add(X,X_809))) )],[refute_0_5815,refute_0_5816]) ).
cnf(refute_0_5818,plain,
pixley(X,X_810,add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)),
inference(resolve,[$cnf( $equal(pixley(X,inverse(inverse(X_810)),add(X,X_809)),add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))) )],[refute_0_5810,refute_0_5817]) ).
cnf(refute_0_5819,plain,
pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),multiply(add(X_303,X_591),add(inverse(X_301),X_591))),
inference(subst,[],[refute_0_2222:[bind(X,$fot(inverse(X_301))),bind(Z,$fot(add(X_303,X_591))),bind(X_262,$fot(X_591))]]) ).
cnf(refute_0_5820,plain,
pixley(add(X_303,X_591),X_301,X_591) = multiply(add(X_303,X_591),add(inverse(X_301),X_591)),
inference(subst,[],[refute_0_3488:[bind(X_302,$fot(X_591))]]) ).
cnf(refute_0_5821,plain,
( pixley(add(X_303,X_591),X_301,X_591) != multiply(add(X_303,X_591),add(inverse(X_301),X_591))
| multiply(add(X_303,X_591),add(inverse(X_301),X_591)) = pixley(add(X_303,X_591),X_301,X_591) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_303,X_591),X_301,X_591))),bind(Y0,$fot(multiply(add(X_303,X_591),add(inverse(X_301),X_591))))]]) ).
cnf(refute_0_5822,plain,
multiply(add(X_303,X_591),add(inverse(X_301),X_591)) = pixley(add(X_303,X_591),X_301,X_591),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_591),X_301,X_591),multiply(add(X_303,X_591),add(inverse(X_301),X_591))) )],[refute_0_5820,refute_0_5821]) ).
cnf(refute_0_5823,plain,
( multiply(add(X_303,X_591),add(inverse(X_301),X_591)) != pixley(add(X_303,X_591),X_301,X_591)
| pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) != add(multiply(inverse(X_301),X_591),multiply(add(X_303,X_591),add(inverse(X_301),X_591)))
| pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)),add(multiply(inverse(X_301),X_591),multiply(add(X_303,X_591),add(inverse(X_301),X_591)))) ),[1,1],$fot(pixley(add(X_303,X_591),X_301,X_591))]]) ).
cnf(refute_0_5824,plain,
( pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) != add(multiply(inverse(X_301),X_591),multiply(add(X_303,X_591),add(inverse(X_301),X_591)))
| pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_303,X_591),add(inverse(X_301),X_591)),pixley(add(X_303,X_591),X_301,X_591)) )],[refute_0_5822,refute_0_5823]) ).
cnf(refute_0_5825,plain,
pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)),
inference(resolve,[$cnf( $equal(pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)),add(multiply(inverse(X_301),X_591),multiply(add(X_303,X_591),add(inverse(X_301),X_591)))) )],[refute_0_5819,refute_0_5824]) ).
cnf(refute_0_5826,plain,
pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) = pixley(X_591,X_301,add(X_303,X_591)),
inference(subst,[],[refute_0_3642:[bind(Y,$fot(add(X_303,X_591))),bind(X_838,$fot(X_301)),bind(X_839,$fot(X_591))]]) ).
cnf(refute_0_5827,plain,
( pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) != add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))
| pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) != pixley(X_591,X_301,add(X_303,X_591))
| pixley(X_591,X_301,add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)),add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))) ),[0],$fot(pixley(X_591,X_301,add(X_303,X_591)))]]) ).
cnf(refute_0_5828,plain,
( pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)) != add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))
| pixley(X_591,X_301,add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)),pixley(X_591,X_301,add(X_303,X_591))) )],[refute_0_5826,refute_0_5827]) ).
cnf(refute_0_5829,plain,
pixley(X_591,X_301,add(X_303,X_591)) = add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)),
inference(resolve,[$cnf( $equal(pixley(inverse(X_301),inverse(X_591),add(X_303,X_591)),add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))) )],[refute_0_5825,refute_0_5828]) ).
cnf(refute_0_5830,plain,
add(multiply(X_1181,X_1182),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) = add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)),
inference(subst,[],[refute_0_4624:[bind(X_1157,$fot(X_1181)),bind(X_1158,$fot(X_1182)),bind(X_1159,$fot(pixley(add(X_290,X_1182),X_291,X_1182)))]]) ).
cnf(refute_0_5831,plain,
pixley(add(X_290,X_1182),X_291,X_1182) = add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)),
inference(subst,[],[refute_0_4234:[bind(X_288,$fot(X_1182))]]) ).
cnf(refute_0_5832,plain,
( pixley(add(X_290,X_1182),X_291,X_1182) != add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))
| add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)) = pixley(add(X_290,X_1182),X_291,X_1182) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(add(X_290,X_1182),X_291,X_1182))),bind(Y0,$fot(add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))))]]) ).
cnf(refute_0_5833,plain,
add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)) = pixley(add(X_290,X_1182),X_291,X_1182),
inference(resolve,[$cnf( $equal(pixley(add(X_290,X_1182),X_291,X_1182),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) )],[refute_0_5831,refute_0_5832]) ).
cnf(refute_0_5834,plain,
( add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)) != pixley(add(X_290,X_1182),X_291,X_1182)
| add(multiply(X_1181,X_1182),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) != add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))
| add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) = add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1181,X_1182),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) ),[0,1],$fot(pixley(add(X_290,X_1182),X_291,X_1182))]]) ).
cnf(refute_0_5835,plain,
( add(multiply(X_1181,X_1182),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) != add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))
| add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) = add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)) ),
inference(resolve,[$cnf( $equal(add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)),pixley(add(X_290,X_1182),X_291,X_1182)) )],[refute_0_5833,refute_0_5834]) ).
cnf(refute_0_5836,plain,
add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) = add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)),
inference(resolve,[$cnf( $equal(add(multiply(X_1181,X_1182),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) )],[refute_0_5830,refute_0_5835]) ).
cnf(refute_0_5837,plain,
( add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)) != pixley(add(X_290,X_1182),X_291,X_1182)
| add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) != add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))
| add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) = pixley(add(X_290,X_1182),X_291,X_1182) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) ),[1],$fot(pixley(add(X_290,X_1182),X_291,X_1182))]]) ).
cnf(refute_0_5838,plain,
( add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) != add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))
| add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) = pixley(add(X_290,X_1182),X_291,X_1182) ),
inference(resolve,[$cnf( $equal(add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182)),pixley(add(X_290,X_1182),X_291,X_1182)) )],[refute_0_5833,refute_0_5837]) ).
cnf(refute_0_5839,plain,
add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)) = pixley(add(X_290,X_1182),X_291,X_1182),
inference(resolve,[$cnf( $equal(add(multiply(X_1181,X_1182),pixley(add(X_290,X_1182),X_291,X_1182)),add(X_1182,pixley(add(X_290,X_1182),X_291,X_1182))) )],[refute_0_5836,refute_0_5838]) ).
cnf(refute_0_5840,plain,
add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)) = pixley(add(X_303,X_591),X_301,X_591),
inference(subst,[],[refute_0_5839:[bind(X_1181,$fot(inverse(X_301))),bind(X_1182,$fot(X_591)),bind(X_290,$fot(X_303)),bind(X_291,$fot(X_301))]]) ).
cnf(refute_0_5841,plain,
( add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)) != pixley(add(X_303,X_591),X_301,X_591)
| pixley(X_591,X_301,add(X_303,X_591)) != add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))
| pixley(X_591,X_301,add(X_303,X_591)) = pixley(add(X_303,X_591),X_301,X_591) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_591,X_301,add(X_303,X_591)),add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))) ),[1],$fot(pixley(add(X_303,X_591),X_301,X_591))]]) ).
cnf(refute_0_5842,plain,
( pixley(X_591,X_301,add(X_303,X_591)) != add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))
| pixley(X_591,X_301,add(X_303,X_591)) = pixley(add(X_303,X_591),X_301,X_591) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591)),pixley(add(X_303,X_591),X_301,X_591)) )],[refute_0_5840,refute_0_5841]) ).
cnf(refute_0_5843,plain,
pixley(X_591,X_301,add(X_303,X_591)) = pixley(add(X_303,X_591),X_301,X_591),
inference(resolve,[$cnf( $equal(pixley(X_591,X_301,add(X_303,X_591)),add(multiply(inverse(X_301),X_591),pixley(add(X_303,X_591),X_301,X_591))) )],[refute_0_5829,refute_0_5842]) ).
cnf(refute_0_5844,plain,
( pixley(X_591,X_301,add(X_303,X_591)) != pixley(add(X_303,X_591),X_301,X_591)
| pixley(add(X_303,X_591),X_301,X_591) = pixley(X_591,X_301,add(X_303,X_591)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(pixley(X_591,X_301,add(X_303,X_591)))),bind(Y0,$fot(pixley(add(X_303,X_591),X_301,X_591)))]]) ).
cnf(refute_0_5845,plain,
pixley(add(X_303,X_591),X_301,X_591) = pixley(X_591,X_301,add(X_303,X_591)),
inference(resolve,[$cnf( $equal(pixley(X_591,X_301,add(X_303,X_591)),pixley(add(X_303,X_591),X_301,X_591)) )],[refute_0_5843,refute_0_5844]) ).
cnf(refute_0_5846,plain,
pixley(add(X_809,X),X_810,X) = pixley(X,X_810,add(X_809,X)),
inference(subst,[],[refute_0_5845:[bind(X_301,$fot(X_810)),bind(X_303,$fot(X_809)),bind(X_591,$fot(X))]]) ).
cnf(refute_0_5847,plain,
add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) = add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)))]]) ).
cnf(refute_0_5848,plain,
( add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) != add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))
| pixley(add(X_809,X),X_810,X) != pixley(X,X_810,add(X_809,X))
| add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)),add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))) ),[1,1],$fot(pixley(X,X_810,add(X_809,X)))]]) ).
cnf(refute_0_5849,plain,
( pixley(add(X_809,X),X_810,X) != pixley(X,X_810,add(X_809,X))
| add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)),add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))) )],[refute_0_5847,refute_0_5848]) ).
cnf(refute_0_5850,plain,
add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),
inference(resolve,[$cnf( $equal(pixley(add(X_809,X),X_810,X),pixley(X,X_810,add(X_809,X))) )],[refute_0_5846,refute_0_5849]) ).
cnf(refute_0_5851,plain,
( add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)) != add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))
| pixley(X,X_810,add(X,X_809)) != add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))
| pixley(X,X_810,add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,X_810,add(X,X_809)),add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))) ),[1],$fot(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))))]]) ).
cnf(refute_0_5852,plain,
( pixley(X,X_810,add(X,X_809)) != add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))
| pixley(X,X_810,add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X)),add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))) )],[refute_0_5850,refute_0_5851]) ).
cnf(refute_0_5853,plain,
pixley(X,X_810,add(X,X_809)) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),
inference(resolve,[$cnf( $equal(pixley(X,X_810,add(X,X_809)),add(multiply(X,inverse(X_810)),pixley(add(X_809,X),X_810,X))) )],[refute_0_5818,refute_0_5852]) ).
cnf(refute_0_5854,plain,
pixley(add(X_809,X_808),X_810,X_808) = pixley(X_808,X_810,add(X_809,X_808)),
inference(subst,[],[refute_0_5845:[bind(X_301,$fot(X_810)),bind(X_303,$fot(X_809)),bind(X_591,$fot(X_808))]]) ).
cnf(refute_0_5855,plain,
add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) = add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)),
introduced(tautology,[refl,[$fot(add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)))]]) ).
cnf(refute_0_5856,plain,
( add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) != add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808))
| pixley(add(X_809,X_808),X_810,X_808) != pixley(X_808,X_810,add(X_809,X_808))
| add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)),add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808))) ),[1,1],$fot(pixley(X_808,X_810,add(X_809,X_808)))]]) ).
cnf(refute_0_5857,plain,
( pixley(add(X_809,X_808),X_810,X_808) != pixley(X_808,X_810,add(X_809,X_808))
| add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) ),
inference(resolve,[$cnf( $equal(add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)),add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808))) )],[refute_0_5855,refute_0_5856]) ).
cnf(refute_0_5858,plain,
add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),
inference(resolve,[$cnf( $equal(pixley(add(X_809,X_808),X_810,X_808),pixley(X_808,X_810,add(X_809,X_808))) )],[refute_0_5854,refute_0_5857]) ).
cnf(refute_0_5859,plain,
( add(X_808,X_809) != add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808))
| add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)) != add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))
| add(X_808,X_809) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_808,X_809),add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))) ),[0],$fot(add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)))]]) ).
cnf(refute_0_5860,plain,
( add(X_808,X_809) != add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808))
| add(X_808,X_809) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) ),
inference(resolve,[$cnf( $equal(add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808)),add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))) )],[refute_0_5858,refute_0_5859]) ).
cnf(refute_0_5861,plain,
add(X_808,X_809) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),
inference(resolve,[$cnf( $equal(add(X_808,X_809),add(add(X_808,X_809),pixley(add(X_809,X_808),X_810,X_808))) )],[refute_0_4151,refute_0_5860]) ).
cnf(refute_0_5862,plain,
add(add(X_1382,Z),add(X_1381,multiply(X_1382,add(X_1382,Z)))) = add(X_1381,add(X_1382,Z)),
inference(subst,[],[refute_0_5487:[bind(X_1379,$fot(X_1381)),bind(X_1380,$fot(X_1382)),bind(X_605,$fot(add(X_1382,Z)))]]) ).
cnf(refute_0_5863,plain,
multiply(X_1382,add(X_1382,Z)) = X_1382,
inference(subst,[],[refute_0_2641:[bind(X_26,$fot(X_1382))]]) ).
cnf(refute_0_5864,plain,
( multiply(X_1382,add(X_1382,Z)) != X_1382
| add(add(X_1382,Z),add(X_1381,multiply(X_1382,add(X_1382,Z)))) != add(X_1381,add(X_1382,Z))
| add(add(X_1382,Z),add(X_1381,X_1382)) = add(X_1381,add(X_1382,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_1382,Z),add(X_1381,multiply(X_1382,add(X_1382,Z)))),add(X_1381,add(X_1382,Z))) ),[0,1,1],$fot(X_1382)]]) ).
cnf(refute_0_5865,plain,
( add(add(X_1382,Z),add(X_1381,multiply(X_1382,add(X_1382,Z)))) != add(X_1381,add(X_1382,Z))
| add(add(X_1382,Z),add(X_1381,X_1382)) = add(X_1381,add(X_1382,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_1382,add(X_1382,Z)),X_1382) )],[refute_0_5863,refute_0_5864]) ).
cnf(refute_0_5866,plain,
add(add(X_1382,Z),add(X_1381,X_1382)) = add(X_1381,add(X_1382,Z)),
inference(resolve,[$cnf( $equal(add(add(X_1382,Z),add(X_1381,multiply(X_1382,add(X_1382,Z)))),add(X_1381,add(X_1382,Z))) )],[refute_0_5862,refute_0_5865]) ).
cnf(refute_0_5867,plain,
add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)),
inference(subst,[],[refute_0_5866:[bind(Z,$fot(X_809)),bind(X_1381,$fot(multiply(X_809,inverse(X_810)))),bind(X_1382,$fot(X_808))]]) ).
cnf(refute_0_5868,plain,
pixley(add(X_303,X_302),X_301,X_302) = pixley(X_302,X_301,add(X_303,X_302)),
inference(subst,[],[refute_0_5845:[bind(X_591,$fot(X_302))]]) ).
cnf(refute_0_5869,plain,
( pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(X_302,inverse(X_301)))
| pixley(add(X_303,X_302),X_301,X_302) != pixley(X_302,X_301,add(X_303,X_302))
| pixley(X_302,X_301,add(X_303,X_302)) = multiply(add(X_303,X_302),add(X_302,inverse(X_301))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(X_302,inverse(X_301)))) ),[0],$fot(pixley(X_302,X_301,add(X_303,X_302)))]]) ).
cnf(refute_0_5870,plain,
( pixley(add(X_303,X_302),X_301,X_302) != multiply(add(X_303,X_302),add(X_302,inverse(X_301)))
| pixley(X_302,X_301,add(X_303,X_302)) = multiply(add(X_303,X_302),add(X_302,inverse(X_301))) ),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),pixley(X_302,X_301,add(X_303,X_302))) )],[refute_0_5868,refute_0_5869]) ).
cnf(refute_0_5871,plain,
pixley(X_302,X_301,add(X_303,X_302)) = multiply(add(X_303,X_302),add(X_302,inverse(X_301))),
inference(resolve,[$cnf( $equal(pixley(add(X_303,X_302),X_301,X_302),multiply(add(X_303,X_302),add(X_302,inverse(X_301)))) )],[refute_0_4137,refute_0_5870]) ).
cnf(refute_0_5872,plain,
add(X_605,add(multiply(X_1402,X_1380),multiply(X_1380,X_605))) = add(multiply(X_1402,X_1380),X_605),
inference(subst,[],[refute_0_5487:[bind(X_1379,$fot(multiply(X_1402,X_1380)))]]) ).
cnf(refute_0_5873,plain,
multiply(X_1380,add(X_1402,X_605)) = add(multiply(X_1402,X_1380),multiply(X_1380,X_605)),
inference(subst,[],[refute_0_3859:[bind(X,$fot(X_1380)),bind(Y,$fot(X_1402)),bind(Z,$fot(X_605))]]) ).
cnf(refute_0_5874,plain,
( multiply(X_1380,add(X_1402,X_605)) != add(multiply(X_1402,X_1380),multiply(X_1380,X_605))
| add(multiply(X_1402,X_1380),multiply(X_1380,X_605)) = multiply(X_1380,add(X_1402,X_605)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_1380,add(X_1402,X_605)))),bind(Y0,$fot(add(multiply(X_1402,X_1380),multiply(X_1380,X_605))))]]) ).
cnf(refute_0_5875,plain,
add(multiply(X_1402,X_1380),multiply(X_1380,X_605)) = multiply(X_1380,add(X_1402,X_605)),
inference(resolve,[$cnf( $equal(multiply(X_1380,add(X_1402,X_605)),add(multiply(X_1402,X_1380),multiply(X_1380,X_605))) )],[refute_0_5873,refute_0_5874]) ).
cnf(refute_0_5876,plain,
( add(X_605,add(multiply(X_1402,X_1380),multiply(X_1380,X_605))) != add(multiply(X_1402,X_1380),X_605)
| add(multiply(X_1402,X_1380),multiply(X_1380,X_605)) != multiply(X_1380,add(X_1402,X_605))
| add(X_605,multiply(X_1380,add(X_1402,X_605))) = add(multiply(X_1402,X_1380),X_605) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_605,add(multiply(X_1402,X_1380),multiply(X_1380,X_605))),add(multiply(X_1402,X_1380),X_605)) ),[0,1],$fot(multiply(X_1380,add(X_1402,X_605)))]]) ).
cnf(refute_0_5877,plain,
( add(X_605,add(multiply(X_1402,X_1380),multiply(X_1380,X_605))) != add(multiply(X_1402,X_1380),X_605)
| add(X_605,multiply(X_1380,add(X_1402,X_605))) = add(multiply(X_1402,X_1380),X_605) ),
inference(resolve,[$cnf( $equal(add(multiply(X_1402,X_1380),multiply(X_1380,X_605)),multiply(X_1380,add(X_1402,X_605))) )],[refute_0_5875,refute_0_5876]) ).
cnf(refute_0_5878,plain,
add(X_605,multiply(X_1380,add(X_1402,X_605))) = add(multiply(X_1402,X_1380),X_605),
inference(resolve,[$cnf( $equal(add(X_605,add(multiply(X_1402,X_1380),multiply(X_1380,X_605))),add(multiply(X_1402,X_1380),X_605)) )],[refute_0_5872,refute_0_5877]) ).
cnf(refute_0_5879,plain,
add(X_605,multiply(X_1380,add(X_1402,X_605))) = multiply(add(X_1402,X_605),add(X_605,X_1380)),
inference(subst,[],[refute_0_2757:[bind(Y,$fot(X_605)),bind(Z,$fot(X_1380)),bind(X_250,$fot(X_1402))]]) ).
cnf(refute_0_5880,plain,
( add(X_605,multiply(X_1380,add(X_1402,X_605))) != multiply(add(X_1402,X_605),add(X_605,X_1380))
| add(X_605,multiply(X_1380,add(X_1402,X_605))) != add(multiply(X_1402,X_1380),X_605)
| multiply(add(X_1402,X_605),add(X_605,X_1380)) = add(multiply(X_1402,X_1380),X_605) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_605,multiply(X_1380,add(X_1402,X_605))),add(multiply(X_1402,X_1380),X_605)) ),[0],$fot(multiply(add(X_1402,X_605),add(X_605,X_1380)))]]) ).
cnf(refute_0_5881,plain,
( add(X_605,multiply(X_1380,add(X_1402,X_605))) != add(multiply(X_1402,X_1380),X_605)
| multiply(add(X_1402,X_605),add(X_605,X_1380)) = add(multiply(X_1402,X_1380),X_605) ),
inference(resolve,[$cnf( $equal(add(X_605,multiply(X_1380,add(X_1402,X_605))),multiply(add(X_1402,X_605),add(X_605,X_1380))) )],[refute_0_5879,refute_0_5880]) ).
cnf(refute_0_5882,plain,
multiply(add(X_1402,X_605),add(X_605,X_1380)) = add(multiply(X_1402,X_1380),X_605),
inference(resolve,[$cnf( $equal(add(X_605,multiply(X_1380,add(X_1402,X_605))),add(multiply(X_1402,X_1380),X_605)) )],[refute_0_5878,refute_0_5881]) ).
cnf(refute_0_5883,plain,
multiply(add(X_303,X_302),add(X_302,inverse(X_301))) = add(multiply(X_303,inverse(X_301)),X_302),
inference(subst,[],[refute_0_5882:[bind(X_1380,$fot(inverse(X_301))),bind(X_1402,$fot(X_303)),bind(X_605,$fot(X_302))]]) ).
cnf(refute_0_5884,plain,
( multiply(add(X_303,X_302),add(X_302,inverse(X_301))) != add(multiply(X_303,inverse(X_301)),X_302)
| pixley(X_302,X_301,add(X_303,X_302)) != multiply(add(X_303,X_302),add(X_302,inverse(X_301)))
| pixley(X_302,X_301,add(X_303,X_302)) = add(multiply(X_303,inverse(X_301)),X_302) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X_302,X_301,add(X_303,X_302)),multiply(add(X_303,X_302),add(X_302,inverse(X_301)))) ),[1],$fot(add(multiply(X_303,inverse(X_301)),X_302))]]) ).
cnf(refute_0_5885,plain,
( pixley(X_302,X_301,add(X_303,X_302)) != multiply(add(X_303,X_302),add(X_302,inverse(X_301)))
| pixley(X_302,X_301,add(X_303,X_302)) = add(multiply(X_303,inverse(X_301)),X_302) ),
inference(resolve,[$cnf( $equal(multiply(add(X_303,X_302),add(X_302,inverse(X_301))),add(multiply(X_303,inverse(X_301)),X_302)) )],[refute_0_5883,refute_0_5884]) ).
cnf(refute_0_5886,plain,
pixley(X_302,X_301,add(X_303,X_302)) = add(multiply(X_303,inverse(X_301)),X_302),
inference(resolve,[$cnf( $equal(pixley(X_302,X_301,add(X_303,X_302)),multiply(add(X_303,X_302),add(X_302,inverse(X_301)))) )],[refute_0_5871,refute_0_5885]) ).
cnf(refute_0_5887,plain,
pixley(X_808,X_810,add(X_809,X_808)) = add(multiply(X_809,inverse(X_810)),X_808),
inference(subst,[],[refute_0_5886:[bind(X_301,$fot(X_810)),bind(X_302,$fot(X_808)),bind(X_303,$fot(X_809))]]) ).
cnf(refute_0_5888,plain,
add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),
introduced(tautology,[refl,[$fot(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))))]]) ).
cnf(refute_0_5889,plain,
( add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) != add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))
| pixley(X_808,X_810,add(X_809,X_808)) != add(multiply(X_809,inverse(X_810)),X_808)
| add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))) ),[1,1],$fot(add(multiply(X_809,inverse(X_810)),X_808))]]) ).
cnf(refute_0_5890,plain,
( pixley(X_808,X_810,add(X_809,X_808)) != add(multiply(X_809,inverse(X_810)),X_808)
| add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)) ),
inference(resolve,[$cnf( $equal(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))) )],[refute_0_5888,refute_0_5889]) ).
cnf(refute_0_5891,plain,
add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)),
inference(resolve,[$cnf( $equal(pixley(X_808,X_810,add(X_809,X_808)),add(multiply(X_809,inverse(X_810)),X_808)) )],[refute_0_5887,refute_0_5890]) ).
cnf(refute_0_5892,plain,
( add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)) != add(multiply(X_809,inverse(X_810)),add(X_808,X_809))
| add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) != add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808))
| add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))))),bind(Y0,$fot(add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)))),bind(Z0,$fot(add(multiply(X_809,inverse(X_810)),add(X_808,X_809))))]]) ).
cnf(refute_0_5893,plain,
( add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)) != add(multiply(X_809,inverse(X_810)),add(X_808,X_809))
| add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)) ),
inference(resolve,[$cnf( $equal(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808))) )],[refute_0_5891,refute_0_5892]) ).
cnf(refute_0_5894,plain,
add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)),
inference(resolve,[$cnf( $equal(add(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),X_808)),add(multiply(X_809,inverse(X_810)),add(X_808,X_809))) )],[refute_0_5867,refute_0_5893]) ).
cnf(refute_0_5895,plain,
( add(X_808,X_809) != add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))
| add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))) != add(multiply(X_809,inverse(X_810)),add(X_808,X_809))
| add(X_808,X_809) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),add(X_808,X_809))) ),[0],$fot(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))))]]) ).
cnf(refute_0_5896,plain,
( add(X_808,X_809) != add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))
| add(X_808,X_809) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)) ),
inference(resolve,[$cnf( $equal(add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808))),add(multiply(X_809,inverse(X_810)),add(X_808,X_809))) )],[refute_0_5894,refute_0_5895]) ).
cnf(refute_0_5897,plain,
add(X_808,X_809) = add(multiply(X_809,inverse(X_810)),add(X_808,X_809)),
inference(resolve,[$cnf( $equal(add(X_808,X_809),add(add(X_808,X_809),pixley(X_808,X_810,add(X_809,X_808)))) )],[refute_0_5861,refute_0_5896]) ).
cnf(refute_0_5898,plain,
( add(X_808,X_809) != add(multiply(X_809,inverse(X_810)),add(X_808,X_809))
| add(multiply(X_809,inverse(X_810)),add(X_808,X_809)) = add(X_808,X_809) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_808,X_809))),bind(Y0,$fot(add(multiply(X_809,inverse(X_810)),add(X_808,X_809))))]]) ).
cnf(refute_0_5899,plain,
add(multiply(X_809,inverse(X_810)),add(X_808,X_809)) = add(X_808,X_809),
inference(resolve,[$cnf( $equal(add(X_808,X_809),add(multiply(X_809,inverse(X_810)),add(X_808,X_809))) )],[refute_0_5897,refute_0_5898]) ).
cnf(refute_0_5900,plain,
add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)) = add(multiply(X_809,inverse(X_810)),X),
inference(subst,[],[refute_0_5899:[bind(X_808,$fot(multiply(X_809,inverse(X_810)))),bind(X_809,$fot(X))]]) ).
cnf(refute_0_5901,plain,
pixley(X,X_810,add(X_809,X)) = add(multiply(X_809,inverse(X_810)),X),
inference(subst,[],[refute_0_5886:[bind(X_301,$fot(X_810)),bind(X_302,$fot(X)),bind(X_303,$fot(X_809))]]) ).
cnf(refute_0_5902,plain,
add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))))]]) ).
cnf(refute_0_5903,plain,
( add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) != add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))
| pixley(X,X_810,add(X_809,X)) != add(multiply(X_809,inverse(X_810)),X)
| add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))) ),[1,1],$fot(add(multiply(X_809,inverse(X_810)),X))]]) ).
cnf(refute_0_5904,plain,
( pixley(X,X_810,add(X_809,X)) != add(multiply(X_809,inverse(X_810)),X)
| add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))) )],[refute_0_5902,refute_0_5903]) ).
cnf(refute_0_5905,plain,
add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)),
inference(resolve,[$cnf( $equal(pixley(X,X_810,add(X_809,X)),add(multiply(X_809,inverse(X_810)),X)) )],[refute_0_5901,refute_0_5904]) ).
cnf(refute_0_5906,plain,
( add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)) != add(multiply(X_809,inverse(X_810)),X)
| add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) != add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X))
| add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X_809,inverse(X_810)),X) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))))),bind(Y0,$fot(add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)))),bind(Z0,$fot(add(multiply(X_809,inverse(X_810)),X)))]]) ).
cnf(refute_0_5907,plain,
( add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)) != add(multiply(X_809,inverse(X_810)),X)
| add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X_809,inverse(X_810)),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X))) )],[refute_0_5905,refute_0_5906]) ).
cnf(refute_0_5908,plain,
add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) = add(multiply(X_809,inverse(X_810)),X),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_810)),add(multiply(X_809,inverse(X_810)),X)),add(multiply(X_809,inverse(X_810)),X)) )],[refute_0_5900,refute_0_5907]) ).
cnf(refute_0_5909,plain,
( add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))) != add(multiply(X_809,inverse(X_810)),X)
| pixley(X,X_810,add(X,X_809)) != add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))
| pixley(X,X_810,add(X,X_809)) = add(multiply(X_809,inverse(X_810)),X) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,X_810,add(X,X_809)),add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))) ),[1],$fot(add(multiply(X_809,inverse(X_810)),X))]]) ).
cnf(refute_0_5910,plain,
( pixley(X,X_810,add(X,X_809)) != add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))
| pixley(X,X_810,add(X,X_809)) = add(multiply(X_809,inverse(X_810)),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X))),add(multiply(X_809,inverse(X_810)),X)) )],[refute_0_5908,refute_0_5909]) ).
cnf(refute_0_5911,plain,
pixley(X,X_810,add(X,X_809)) = add(multiply(X_809,inverse(X_810)),X),
inference(resolve,[$cnf( $equal(pixley(X,X_810,add(X,X_809)),add(multiply(X,inverse(X_810)),pixley(X,X_810,add(X_809,X)))) )],[refute_0_5853,refute_0_5910]) ).
cnf(refute_0_5912,plain,
pixley(X_589,inverse(X_599),add(X_589,X_600)) = add(multiply(X_600,inverse(inverse(X_599))),X_589),
inference(subst,[],[refute_0_5911:[bind(X,$fot(X_589)),bind(X_809,$fot(X_600)),bind(X_810,$fot(inverse(X_599)))]]) ).
cnf(refute_0_5913,plain,
( add(multiply(X_600,inverse(inverse(X_599))),X_589) != add(multiply(X_600,X_599),X_589)
| pixley(X_589,inverse(X_599),add(X_589,X_600)) != add(multiply(X_600,inverse(inverse(X_599))),X_589)
| pixley(X_589,inverse(X_599),add(X_589,X_600)) = add(multiply(X_600,X_599),X_589) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(pixley(X_589,inverse(X_599),add(X_589,X_600)))),bind(Y0,$fot(add(multiply(X_600,inverse(inverse(X_599))),X_589))),bind(Z0,$fot(add(multiply(X_600,X_599),X_589)))]]) ).
cnf(refute_0_5914,plain,
( add(multiply(X_600,inverse(inverse(X_599))),X_589) != add(multiply(X_600,X_599),X_589)
| pixley(X_589,inverse(X_599),add(X_589,X_600)) = add(multiply(X_600,X_599),X_589) ),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_599),add(X_589,X_600)),add(multiply(X_600,inverse(inverse(X_599))),X_589)) )],[refute_0_5912,refute_0_5913]) ).
cnf(refute_0_5915,plain,
pixley(X_589,inverse(X_599),add(X_589,X_600)) = add(multiply(X_600,X_599),X_589),
inference(resolve,[$cnf( $equal(add(multiply(X_600,inverse(inverse(X_599))),X_589),add(multiply(X_600,X_599),X_589)) )],[refute_0_5805,refute_0_5914]) ).
cnf(refute_0_5916,plain,
( multiply(add(X_589,X_600),add(X_589,X_599)) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| pixley(X_589,inverse(X_599),add(X_589,X_600)) != add(multiply(X_600,X_599),X_589)
| multiply(add(X_589,X_600),add(X_589,X_599)) = add(multiply(X_600,X_599),X_589) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_589,X_600),add(X_589,X_599)),add(multiply(X_600,X_599),X_589)) ),[0],$fot(pixley(X_589,inverse(X_599),add(X_589,X_600)))]]) ).
cnf(refute_0_5917,plain,
( multiply(add(X_589,X_600),add(X_589,X_599)) != pixley(X_589,inverse(X_599),add(X_589,X_600))
| multiply(add(X_589,X_600),add(X_589,X_599)) = add(multiply(X_600,X_599),X_589) ),
inference(resolve,[$cnf( $equal(pixley(X_589,inverse(X_599),add(X_589,X_600)),add(multiply(X_600,X_599),X_589)) )],[refute_0_5915,refute_0_5916]) ).
cnf(refute_0_5918,plain,
multiply(add(X_589,X_600),add(X_589,X_599)) = add(multiply(X_600,X_599),X_589),
inference(resolve,[$cnf( $equal(multiply(add(X_589,X_600),add(X_589,X_599)),pixley(X_589,inverse(X_599),add(X_589,X_600))) )],[refute_0_5796,refute_0_5917]) ).
cnf(refute_0_5919,plain,
multiply(add(a,b),add(a,c)) = add(multiply(b,c),a),
inference(subst,[],[refute_0_5918:[bind(X_589,$fot(a)),bind(X_599,$fot(c)),bind(X_600,$fot(b))]]) ).
cnf(refute_0_5920,plain,
( multiply(add(a,b),add(a,c)) != add(multiply(b,c),a)
| add(multiply(b,c),a) != add(a,multiply(b,c))
| multiply(add(a,b),add(a,c)) = add(a,multiply(b,c)) ),
inference(subst,[],[refute_0_94:[bind(X0,$fot(multiply(add(a,b),add(a,c)))),bind(Y0,$fot(add(multiply(b,c),a))),bind(Z0,$fot(add(a,multiply(b,c))))]]) ).
cnf(refute_0_5921,plain,
( add(multiply(b,c),a) != add(a,multiply(b,c))
| multiply(add(a,b),add(a,c)) = add(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,b),add(a,c)),add(multiply(b,c),a)) )],[refute_0_5919,refute_0_5920]) ).
cnf(refute_0_5922,plain,
multiply(add(a,b),add(a,c)) = add(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(add(multiply(b,c),a),add(a,multiply(b,c))) )],[refute_0_5768,refute_0_5921]) ).
cnf(refute_0_5923,plain,
( multiply(add(a,b),add(a,c)) != add(a,multiply(b,c))
| add(a,multiply(b,c)) != add(a,multiply(b,c))
| add(a,multiply(b,c)) = multiply(add(a,b),add(a,c)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(a,multiply(b,c)),multiply(add(a,b),add(a,c))) ),[1],$fot(add(a,multiply(b,c)))]]) ).
cnf(refute_0_5924,plain,
( add(a,multiply(b,c)) != add(a,multiply(b,c))
| add(a,multiply(b,c)) = multiply(add(a,b),add(a,c)) ),
inference(resolve,[$cnf( $equal(multiply(add(a,b),add(a,c)),add(a,multiply(b,c))) )],[refute_0_5922,refute_0_5923]) ).
cnf(refute_0_5925,plain,
add(a,multiply(b,c)) != add(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(add(a,multiply(b,c)),multiply(add(a,b),add(a,c))) )],[refute_0_5924,prove_add_multiply_property]) ).
cnf(refute_0_5926,plain,
add(a,multiply(b,c)) = add(a,multiply(b,c)),
introduced(tautology,[refl,[$fot(add(a,multiply(b,c)))]]) ).
cnf(refute_0_5927,plain,
$false,
inference(resolve,[$cnf( $equal(add(a,multiply(b,c)),add(a,multiply(b,c))) )],[refute_0_5926,refute_0_5925]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : BOO023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 21:06:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 106.22/106.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 106.22/106.40
% 106.22/106.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 106.99/107.24
%------------------------------------------------------------------------------