TSTP Solution File: GRP088-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP088-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 : Sat Jul 16 10:34:38 EDT 2022
% Result : Unsatisfiable 0.40s 0.62s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 104
% Syntax : Number of clauses : 440 ( 232 unt; 0 nHn; 221 RR)
% Number of literals : 748 ( 747 equ; 316 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 997 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,divide(Y,divide(Z,divide(X,Y)))) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Z,Z),X) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
divide(Y,divide(Y,divide(Z,divide(Y,Y)))) = Z,
inference(subst,[],[single_axiom:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1,plain,
divide(X_4,divide(X_5,divide(divide(Z,Z),divide(X_4,X_5)))) = divide(Z,Z),
inference(subst,[],[single_axiom:[bind(X,$fot(X_4)),bind(Y,$fot(X_5)),bind(Z,$fot(divide(Z,Z)))]]) ).
cnf(refute_0_2,plain,
inverse(divide(X_4,X_5)) = divide(divide(Z,Z),divide(X_4,X_5)),
inference(subst,[],[inverse:[bind(X,$fot(divide(X_4,X_5)))]]) ).
cnf(refute_0_3,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_4,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_5,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( inverse(divide(X_4,X_5)) != divide(divide(Z,Z),divide(X_4,X_5))
| divide(divide(Z,Z),divide(X_4,X_5)) = inverse(divide(X_4,X_5)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(divide(X_4,X_5)))),bind(Y0,$fot(divide(divide(Z,Z),divide(X_4,X_5))))]]) ).
cnf(refute_0_7,plain,
divide(divide(Z,Z),divide(X_4,X_5)) = inverse(divide(X_4,X_5)),
inference(resolve,[$cnf( $equal(inverse(divide(X_4,X_5)),divide(divide(Z,Z),divide(X_4,X_5))) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( divide(X_4,divide(X_5,divide(divide(Z,Z),divide(X_4,X_5)))) != divide(Z,Z)
| divide(divide(Z,Z),divide(X_4,X_5)) != inverse(divide(X_4,X_5))
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(Z,Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(X_5,divide(divide(Z,Z),divide(X_4,X_5)))),divide(Z,Z)) ),[0,1,1],$fot(inverse(divide(X_4,X_5)))]]) ).
cnf(refute_0_9,plain,
( divide(X_4,divide(X_5,divide(divide(Z,Z),divide(X_4,X_5)))) != divide(Z,Z)
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(Z,Z) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),divide(X_4,X_5)),inverse(divide(X_4,X_5))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(Z,Z),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,divide(divide(Z,Z),divide(X_4,X_5)))),divide(Z,Z)) )],[refute_0_1,refute_0_9]) ).
cnf(refute_0_11,plain,
( inverse(X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = inverse(X) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(divide(Z,Z),X)))]]) ).
cnf(refute_0_12,plain,
divide(divide(Z,Z),X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(divide(Z,Z),Y) = inverse(Y),
inference(subst,[],[refute_0_12:[bind(X,$fot(Y))]]) ).
cnf(refute_0_14,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,divide(divide(Z,Z),Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_15,plain,
( divide(X,divide(divide(Z,Z),Y)) != divide(X,divide(divide(Z,Z),Y))
| divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_16,plain,
( divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),Y),inverse(Y)) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| divide(X,divide(divide(Z,Z),Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_19,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,inverse(Y))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(divide(Z,Z),Y))) )],[multiply,refute_0_19]) ).
cnf(refute_0_21,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_22,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(X_5,inverse(divide(X_4,X_5))) = multiply(X_5,divide(X_4,X_5)),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_5)),bind(Y,$fot(divide(X_4,X_5)))]]) ).
cnf(refute_0_24,plain,
divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),
introduced(tautology,[refl,[$fot(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))))]]) ).
cnf(refute_0_25,plain,
( divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(X_4,divide(X_5,inverse(divide(X_4,X_5))))
| divide(X_5,inverse(divide(X_4,X_5))) != multiply(X_5,divide(X_4,X_5))
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,multiply(X_5,divide(X_4,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(X_4,divide(X_5,inverse(divide(X_4,X_5))))) ),[1,1],$fot(multiply(X_5,divide(X_4,X_5)))]]) ).
cnf(refute_0_26,plain,
( divide(X_5,inverse(divide(X_4,X_5))) != multiply(X_5,divide(X_4,X_5))
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,multiply(X_5,divide(X_4,X_5))) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(X_4,divide(X_5,inverse(divide(X_4,X_5))))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) = divide(X_4,multiply(X_5,divide(X_4,X_5))),
inference(resolve,[$cnf( $equal(divide(X_5,inverse(divide(X_4,X_5))),multiply(X_5,divide(X_4,X_5))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
( divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(Z,Z)
| divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(X_4,multiply(X_5,divide(X_4,X_5)))
| divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(Z,Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(Z,Z)) ),[0],$fot(divide(X_4,multiply(X_5,divide(X_4,X_5))))]]) ).
cnf(refute_0_29,plain,
( divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))) != divide(Z,Z)
| divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(Z,Z) ),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(X_4,multiply(X_5,divide(X_4,X_5)))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(Z,Z),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_5,inverse(divide(X_4,X_5)))),divide(Z,Z)) )],[refute_0_10,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(X,divide(divide(X_6,divide(Z,X)),divide(Z,divide(X,divide(X_6,divide(Z,X)))))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(divide(X_6,divide(Z,X))))]]) ).
cnf(refute_0_32,plain,
divide(Z,divide(X,divide(X_6,divide(Z,X)))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(Z)),bind(Y,$fot(X)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_33,plain,
( divide(X,divide(divide(X_6,divide(Z,X)),divide(Z,divide(X,divide(X_6,divide(Z,X)))))) != Z
| divide(Z,divide(X,divide(X_6,divide(Z,X)))) != X_6
| divide(X,divide(divide(X_6,divide(Z,X)),X_6)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X_6,divide(Z,X)),divide(Z,divide(X,divide(X_6,divide(Z,X)))))),Z) ),[0,1,1],$fot(X_6)]]) ).
cnf(refute_0_34,plain,
( divide(X,divide(divide(X_6,divide(Z,X)),divide(Z,divide(X,divide(X_6,divide(Z,X)))))) != Z
| divide(X,divide(divide(X_6,divide(Z,X)),X_6)) = Z ),
inference(resolve,[$cnf( $equal(divide(Z,divide(X,divide(X_6,divide(Z,X)))),X_6) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(X,divide(divide(X_6,divide(Z,X)),X_6)) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X_6,divide(Z,X)),divide(Z,divide(X,divide(X_6,divide(Z,X)))))),Z) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(X_29,divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))) = X_30,
inference(subst,[],[refute_0_35:[bind(X,$fot(X_29)),bind(Z,$fot(X_30)),bind(X_6,$fot(divide(X_30,X_29)))]]) ).
cnf(refute_0_37,plain,
inverse(divide(X_30,X_29)) = divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29)),
inference(subst,[],[inverse:[bind(X,$fot(divide(X_30,X_29))),bind(Z,$fot(divide(X_30,X_29)))]]) ).
cnf(refute_0_38,plain,
( inverse(divide(X_30,X_29)) != divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))
| divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29)) = inverse(divide(X_30,X_29)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(divide(X_30,X_29)))),bind(Y0,$fot(divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))))]]) ).
cnf(refute_0_39,plain,
divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29)) = inverse(divide(X_30,X_29)),
inference(resolve,[$cnf( $equal(inverse(divide(X_30,X_29)),divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(X_29,divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))) != X_30
| divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29)) != inverse(divide(X_30,X_29))
| divide(X_29,inverse(divide(X_30,X_29))) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_29,divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))),X_30) ),[0,1],$fot(inverse(divide(X_30,X_29)))]]) ).
cnf(refute_0_41,plain,
( divide(X_29,divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))) != X_30
| divide(X_29,inverse(divide(X_30,X_29))) = X_30 ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29)),inverse(divide(X_30,X_29))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(X_29,inverse(divide(X_30,X_29))) = X_30,
inference(resolve,[$cnf( $equal(divide(X_29,divide(divide(divide(X_30,X_29),divide(X_30,X_29)),divide(X_30,X_29))),X_30) )],[refute_0_36,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(X_29,inverse(divide(X_30,X_29))) = multiply(X_29,divide(X_30,X_29)),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_29)),bind(Y,$fot(divide(X_30,X_29)))]]) ).
cnf(refute_0_44,plain,
( divide(X_29,inverse(divide(X_30,X_29))) != X_30
| divide(X_29,inverse(divide(X_30,X_29))) != multiply(X_29,divide(X_30,X_29))
| multiply(X_29,divide(X_30,X_29)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_29,inverse(divide(X_30,X_29))),X_30) ),[0],$fot(multiply(X_29,divide(X_30,X_29)))]]) ).
cnf(refute_0_45,plain,
( divide(X_29,inverse(divide(X_30,X_29))) != X_30
| multiply(X_29,divide(X_30,X_29)) = X_30 ),
inference(resolve,[$cnf( $equal(divide(X_29,inverse(divide(X_30,X_29))),multiply(X_29,divide(X_30,X_29))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(X_29,divide(X_30,X_29)) = X_30,
inference(resolve,[$cnf( $equal(divide(X_29,inverse(divide(X_30,X_29))),X_30) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(X_5,divide(X_4,X_5)) = X_4,
inference(subst,[],[refute_0_46:[bind(X_29,$fot(X_5)),bind(X_30,$fot(X_4))]]) ).
cnf(refute_0_48,plain,
divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(X_4,multiply(X_5,divide(X_4,X_5))),
introduced(tautology,[refl,[$fot(divide(X_4,multiply(X_5,divide(X_4,X_5))))]]) ).
cnf(refute_0_49,plain,
( multiply(X_5,divide(X_4,X_5)) != X_4
| divide(X_4,multiply(X_5,divide(X_4,X_5))) != divide(X_4,multiply(X_5,divide(X_4,X_5)))
| divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(X_4,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,multiply(X_5,divide(X_4,X_5))),divide(X_4,multiply(X_5,divide(X_4,X_5)))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_50,plain,
( multiply(X_5,divide(X_4,X_5)) != X_4
| divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(X_4,X_4) ),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(X_5,divide(X_4,X_5))),divide(X_4,multiply(X_5,divide(X_4,X_5)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
divide(X_4,multiply(X_5,divide(X_4,X_5))) = divide(X_4,X_4),
inference(resolve,[$cnf( $equal(multiply(X_5,divide(X_4,X_5)),X_4) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( divide(X_4,multiply(X_5,divide(X_4,X_5))) != divide(Z,Z)
| divide(X_4,multiply(X_5,divide(X_4,X_5))) != divide(X_4,X_4)
| divide(X_4,X_4) = divide(Z,Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,multiply(X_5,divide(X_4,X_5))),divide(Z,Z)) ),[0],$fot(divide(X_4,X_4))]]) ).
cnf(refute_0_53,plain,
( divide(X_4,multiply(X_5,divide(X_4,X_5))) != divide(Z,Z)
| divide(X_4,X_4) = divide(Z,Z) ),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(X_5,divide(X_4,X_5))),divide(X_4,X_4)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(X_4,X_4) = divide(Z,Z),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(X_5,divide(X_4,X_5))),divide(Z,Z)) )],[refute_0_30,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(Y,Y) = divide(X_39,X_39),
inference(subst,[],[refute_0_54:[bind(Z,$fot(X_39)),bind(X_4,$fot(Y))]]) ).
cnf(refute_0_56,plain,
( divide(Y,Y) != divide(X_39,X_39)
| divide(Y,divide(Y,divide(Z,divide(Y,Y)))) != Z
| divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(Y,Y)))),Z) ),[0,1,1,1],$fot(divide(X_39,X_39))]]) ).
cnf(refute_0_57,plain,
( divide(Y,divide(Y,divide(Z,divide(Y,Y)))) != Z
| divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = Z ),
inference(resolve,[$cnf( $equal(divide(Y,Y),divide(X_39,X_39)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = Z,
inference(resolve,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(Y,Y)))),Z) )],[refute_0_0,refute_0_57]) ).
cnf(refute_0_59,plain,
inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) = divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),
inference(subst,[],[inverse:[bind(X,$fot(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)))]]) ).
cnf(refute_0_60,plain,
divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) = X_30,
inference(subst,[],[refute_0_35:[bind(X,$fot(divide(Z,Z))),bind(Z,$fot(X_30)),bind(X_6,$fot(X_31))]]) ).
cnf(refute_0_61,plain,
( divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) != X_30
| inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) != divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31))
| inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31))) ),[1],$fot(X_30)]]) ).
cnf(refute_0_62,plain,
( inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) != divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31))
| inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) = X_30 ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),X_30) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) = X_30,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),divide(divide(Z,Z),divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),
inference(subst,[],[inverse:[bind(X,$fot(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))))]]) ).
cnf(refute_0_65,plain,
divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = X_6,
inference(subst,[],[single_axiom:[bind(X,$fot(divide(Z,Z))),bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_66,plain,
( divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != X_6
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))) ),[1],$fot(X_6)]]) ).
cnf(refute_0_67,plain,
( inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = X_6 ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),X_6) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),divide(divide(Z,Z),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(X_6,inverse(X_5)) = multiply(X_6,X_5),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_6)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_70,plain,
divide(divide(Z,Z),X_5) = inverse(X_5),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_5))]]) ).
cnf(refute_0_71,plain,
divide(X_6,divide(divide(Z,Z),X_5)) = divide(X_6,divide(divide(Z,Z),X_5)),
introduced(tautology,[refl,[$fot(divide(X_6,divide(divide(Z,Z),X_5)))]]) ).
cnf(refute_0_72,plain,
( divide(X_6,divide(divide(Z,Z),X_5)) != divide(X_6,divide(divide(Z,Z),X_5))
| divide(divide(Z,Z),X_5) != inverse(X_5)
| divide(X_6,divide(divide(Z,Z),X_5)) = divide(X_6,inverse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_6,divide(divide(Z,Z),X_5)),divide(X_6,divide(divide(Z,Z),X_5))) ),[1,1],$fot(inverse(X_5))]]) ).
cnf(refute_0_73,plain,
( divide(divide(Z,Z),X_5) != inverse(X_5)
| divide(X_6,divide(divide(Z,Z),X_5)) = divide(X_6,inverse(X_5)) ),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(Z,Z),X_5)),divide(X_6,divide(divide(Z,Z),X_5))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(X_6,divide(divide(Z,Z),X_5)) = divide(X_6,inverse(X_5)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),X_5),inverse(X_5)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_76,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_5,refute_0_75]) ).
cnf(refute_0_77,plain,
( divide(X_6,divide(divide(Z,Z),X_5)) != divide(X_6,inverse(X_5))
| divide(X_6,inverse(X_5)) != multiply(X_6,X_5)
| divide(X_6,divide(divide(Z,Z),X_5)) = multiply(X_6,X_5) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(X_6,divide(divide(Z,Z),X_5)))),bind(Y0,$fot(divide(X_6,inverse(X_5)))),bind(Z0,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_78,plain,
( divide(X_6,inverse(X_5)) != multiply(X_6,X_5)
| divide(X_6,divide(divide(Z,Z),X_5)) = multiply(X_6,X_5) ),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(Z,Z),X_5)),divide(X_6,inverse(X_5))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(X_6,divide(divide(Z,Z),X_5)) = multiply(X_6,X_5),
inference(resolve,[$cnf( $equal(divide(X_6,inverse(X_5)),multiply(X_6,X_5)) )],[refute_0_69,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) = divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))),
introduced(tautology,[refl,[$fot(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))]]) ).
cnf(refute_0_81,plain,
( divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) != divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))
| divide(X_6,divide(divide(Z,Z),X_5)) != multiply(X_6,X_5)
| divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) = divide(X_5,multiply(X_6,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) ),[1,1],$fot(multiply(X_6,X_5))]]) ).
cnf(refute_0_82,plain,
( divide(X_6,divide(divide(Z,Z),X_5)) != multiply(X_6,X_5)
| divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) = divide(X_5,multiply(X_6,X_5)) ),
inference(resolve,[$cnf( $equal(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))),divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) = divide(X_5,multiply(X_6,X_5)),
inference(resolve,[$cnf( $equal(divide(X_6,divide(divide(Z,Z),X_5)),multiply(X_6,X_5)) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),
introduced(tautology,[refl,[$fot(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))))]]) ).
cnf(refute_0_85,plain,
( divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) != divide(X_5,multiply(X_6,X_5))
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = inverse(divide(X_5,multiply(X_6,X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))) ),[1,0],$fot(divide(X_5,multiply(X_6,X_5)))]]) ).
cnf(refute_0_86,plain,
( divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))) != divide(X_5,multiply(X_6,X_5))
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = inverse(divide(X_5,multiply(X_6,X_5))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) = inverse(divide(X_5,multiply(X_6,X_5))),
inference(resolve,[$cnf( $equal(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5))),divide(X_5,multiply(X_6,X_5))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != X_6
| inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != inverse(divide(X_5,multiply(X_6,X_5)))
| inverse(divide(X_5,multiply(X_6,X_5))) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),X_6) ),[0],$fot(inverse(divide(X_5,multiply(X_6,X_5))))]]) ).
cnf(refute_0_89,plain,
( inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))) != X_6
| inverse(divide(X_5,multiply(X_6,X_5))) = X_6 ),
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),inverse(divide(X_5,multiply(X_6,X_5)))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
inverse(divide(X_5,multiply(X_6,X_5))) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(X_5,divide(X_6,divide(divide(Z,Z),X_5)))),X_6) )],[refute_0_68,refute_0_89]) ).
cnf(refute_0_91,plain,
inverse(divide(divide(X_33,X_6),multiply(X_6,divide(X_33,X_6)))) = X_6,
inference(subst,[],[refute_0_90:[bind(X_5,$fot(divide(X_33,X_6)))]]) ).
cnf(refute_0_92,plain,
multiply(X_6,divide(X_33,X_6)) = X_33,
inference(subst,[],[refute_0_46:[bind(X_29,$fot(X_6)),bind(X_30,$fot(X_33))]]) ).
cnf(refute_0_93,plain,
( multiply(X_6,divide(X_33,X_6)) != X_33
| inverse(divide(divide(X_33,X_6),multiply(X_6,divide(X_33,X_6)))) != X_6
| inverse(divide(divide(X_33,X_6),X_33)) = X_6 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_33,X_6),multiply(X_6,divide(X_33,X_6)))),X_6) ),[0,0,1],$fot(X_33)]]) ).
cnf(refute_0_94,plain,
( inverse(divide(divide(X_33,X_6),multiply(X_6,divide(X_33,X_6)))) != X_6
| inverse(divide(divide(X_33,X_6),X_33)) = X_6 ),
inference(resolve,[$cnf( $equal(multiply(X_6,divide(X_33,X_6)),X_33) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
inverse(divide(divide(X_33,X_6),X_33)) = X_6,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_33,X_6),multiply(X_6,divide(X_33,X_6)))),X_6) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) = divide(X_30,divide(Z,Z)),
inference(subst,[],[refute_0_95:[bind(X_33,$fot(X_31)),bind(X_6,$fot(divide(X_30,divide(Z,Z))))]]) ).
cnf(refute_0_97,plain,
( inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) != X_30
| inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) != divide(X_30,divide(Z,Z))
| divide(X_30,divide(Z,Z)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),X_30) ),[0],$fot(divide(X_30,divide(Z,Z)))]]) ).
cnf(refute_0_98,plain,
( inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)) != X_30
| divide(X_30,divide(Z,Z)) = X_30 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),divide(X_30,divide(Z,Z))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(X_30,divide(Z,Z)) = X_30,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,divide(Z,Z))),X_31)),X_30) )],[refute_0_63,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(Z,divide(X_39,X_39)) = Z,
inference(subst,[],[refute_0_99:[bind(Z,$fot(X_39)),bind(X_30,$fot(Z))]]) ).
cnf(refute_0_101,plain,
divide(Y,divide(Z,divide(X_39,X_39))) = divide(Y,divide(Z,divide(X_39,X_39))),
introduced(tautology,[refl,[$fot(divide(Y,divide(Z,divide(X_39,X_39))))]]) ).
cnf(refute_0_102,plain,
( divide(Y,divide(Z,divide(X_39,X_39))) != divide(Y,divide(Z,divide(X_39,X_39)))
| divide(Z,divide(X_39,X_39)) != Z
| divide(Y,divide(Z,divide(X_39,X_39))) = divide(Y,Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(Z,divide(X_39,X_39))),divide(Y,divide(Z,divide(X_39,X_39)))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_103,plain,
( divide(Z,divide(X_39,X_39)) != Z
| divide(Y,divide(Z,divide(X_39,X_39))) = divide(Y,Z) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(Z,divide(X_39,X_39))),divide(Y,divide(Z,divide(X_39,X_39)))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(Y,divide(Z,divide(X_39,X_39))) = divide(Y,Z),
inference(resolve,[$cnf( $equal(divide(Z,divide(X_39,X_39)),Z) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))),
introduced(tautology,[refl,[$fot(divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))))]]) ).
cnf(refute_0_106,plain,
( divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) != divide(Y,divide(Y,divide(Z,divide(X_39,X_39))))
| divide(Y,divide(Z,divide(X_39,X_39))) != divide(Y,Z)
| divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = divide(Y,divide(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))),divide(Y,divide(Y,divide(Z,divide(X_39,X_39))))) ),[1,1],$fot(divide(Y,Z))]]) ).
cnf(refute_0_107,plain,
( divide(Y,divide(Z,divide(X_39,X_39))) != divide(Y,Z)
| divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = divide(Y,divide(Y,Z)) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))),divide(Y,divide(Y,divide(Z,divide(X_39,X_39))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) = divide(Y,divide(Y,Z)),
inference(resolve,[$cnf( $equal(divide(Y,divide(Z,divide(X_39,X_39))),divide(Y,Z)) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) != Z
| divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) != divide(Y,divide(Y,Z))
| divide(Y,divide(Y,Z)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))),Z) ),[0],$fot(divide(Y,divide(Y,Z)))]]) ).
cnf(refute_0_110,plain,
( divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))) != Z
| divide(Y,divide(Y,Z)) = Z ),
inference(resolve,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))),divide(Y,divide(Y,Z))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
divide(Y,divide(Y,Z)) = Z,
inference(resolve,[$cnf( $equal(divide(Y,divide(Y,divide(Z,divide(X_39,X_39)))),Z) )],[refute_0_58,refute_0_110]) ).
cnf(refute_0_112,plain,
divide(multiply(X_56,Z),divide(multiply(X_56,Z),Z)) = Z,
inference(subst,[],[refute_0_111:[bind(Y,$fot(multiply(X_56,Z)))]]) ).
cnf(refute_0_113,plain,
multiply(divide(X_30,X_42),divide(X_30,divide(X_30,X_42))) = X_30,
inference(subst,[],[refute_0_46:[bind(X_29,$fot(divide(X_30,X_42)))]]) ).
cnf(refute_0_114,plain,
divide(X_30,divide(X_30,X_42)) = X_42,
inference(subst,[],[refute_0_111:[bind(Y,$fot(X_30)),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_115,plain,
( multiply(divide(X_30,X_42),divide(X_30,divide(X_30,X_42))) != X_30
| divide(X_30,divide(X_30,X_42)) != X_42
| multiply(divide(X_30,X_42),X_42) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_30,X_42),divide(X_30,divide(X_30,X_42))),X_30) ),[0,1],$fot(X_42)]]) ).
cnf(refute_0_116,plain,
( multiply(divide(X_30,X_42),divide(X_30,divide(X_30,X_42))) != X_30
| multiply(divide(X_30,X_42),X_42) = X_30 ),
inference(resolve,[$cnf( $equal(divide(X_30,divide(X_30,X_42)),X_42) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(divide(X_30,X_42),X_42) = X_30,
inference(resolve,[$cnf( $equal(multiply(divide(X_30,X_42),divide(X_30,divide(X_30,X_42))),X_30) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(divide(X_53,inverse(Y)),inverse(Y)) = X_53,
inference(subst,[],[refute_0_117:[bind(X_30,$fot(X_53)),bind(X_42,$fot(inverse(Y)))]]) ).
cnf(refute_0_119,plain,
multiply(X_53,Y) = divide(X_53,inverse(Y)),
inference(subst,[],[refute_0_20:[bind(X,$fot(X_53))]]) ).
cnf(refute_0_120,plain,
( multiply(X_53,Y) != divide(X_53,inverse(Y))
| divide(X_53,inverse(Y)) = multiply(X_53,Y) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_53,Y))),bind(Y0,$fot(divide(X_53,inverse(Y))))]]) ).
cnf(refute_0_121,plain,
divide(X_53,inverse(Y)) = multiply(X_53,Y),
inference(resolve,[$cnf( $equal(multiply(X_53,Y),divide(X_53,inverse(Y))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(divide(X_53,inverse(Y)),inverse(Y)) != X_53
| divide(X_53,inverse(Y)) != multiply(X_53,Y)
| multiply(multiply(X_53,Y),inverse(Y)) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_53,inverse(Y)),inverse(Y)),X_53) ),[0,0],$fot(multiply(X_53,Y))]]) ).
cnf(refute_0_123,plain,
( multiply(divide(X_53,inverse(Y)),inverse(Y)) != X_53
| multiply(multiply(X_53,Y),inverse(Y)) = X_53 ),
inference(resolve,[$cnf( $equal(divide(X_53,inverse(Y)),multiply(X_53,Y)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(multiply(X_53,Y),inverse(Y)) = X_53,
inference(resolve,[$cnf( $equal(multiply(divide(X_53,inverse(Y)),inverse(Y)),X_53) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = divide(X_17,inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1)))))),
inference(subst,[],[refute_0_20:[bind(X,$fot(X_17)),bind(Y,$fot(inverse(multiply(X_8,inverse(divide(X_1,X_1))))))]]) ).
cnf(refute_0_126,plain,
inverse(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))) = X_8,
inference(subst,[],[refute_0_90:[bind(X_5,$fot(inverse(divide(X_1,X_1)))),bind(X_6,$fot(X_8))]]) ).
cnf(refute_0_127,plain,
inverse(X) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X),
inference(subst,[],[inverse:[bind(Z,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_128,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(X,$fot(divide(X_1,X_1))),bind(Z,$fot(X_1))]]) ).
cnf(refute_0_129,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(divide(X_1,X_1)))),bind(Y0,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_130,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(X) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)
| inverse(X) = divide(inverse(divide(X_1,X_1)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).
cnf(refute_0_132,plain,
( inverse(X) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)
| inverse(X) = divide(inverse(divide(X_1,X_1)),X) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
inverse(X) = divide(inverse(divide(X_1,X_1)),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)) )],[refute_0_127,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(multiply(X_8,inverse(divide(X_1,X_1)))) = divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1)))),
inference(subst,[],[refute_0_133:[bind(X,$fot(multiply(X_8,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_135,plain,
( inverse(multiply(X_8,inverse(divide(X_1,X_1)))) != divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))
| divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1)))) = inverse(multiply(X_8,inverse(divide(X_1,X_1)))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(multiply(X_8,inverse(divide(X_1,X_1)))))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))))]]) ).
cnf(refute_0_136,plain,
divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1)))) = inverse(multiply(X_8,inverse(divide(X_1,X_1)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_8,inverse(divide(X_1,X_1)))),divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1)))) != inverse(multiply(X_8,inverse(divide(X_1,X_1))))
| inverse(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))) != X_8
| inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))),X_8) ),[0,0],$fot(inverse(multiply(X_8,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_138,plain,
( inverse(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))) != X_8
| inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1)))),inverse(multiply(X_8,inverse(divide(X_1,X_1))))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = X_8,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(X_1,X_1)),multiply(X_8,inverse(divide(X_1,X_1))))),X_8) )],[refute_0_126,refute_0_138]) ).
cnf(refute_0_140,plain,
( multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != divide(X_17,inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))))
| inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != X_8
| multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = divide(X_17,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),divide(X_17,inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))))) ),[1,1],$fot(X_8)]]) ).
cnf(refute_0_141,plain,
( multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != divide(X_17,inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))))
| multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = divide(X_17,X_8) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))),X_8) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = divide(X_17,X_8),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),divide(X_17,inverse(inverse(multiply(X_8,inverse(divide(X_1,X_1))))))) )],[refute_0_125,refute_0_141]) ).
cnf(refute_0_143,plain,
inverse(X) = divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X),
inference(subst,[],[inverse:[bind(Z,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_144,plain,
inverse(inverse(divide(X_3,X_3))) = divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_133:[bind(X,$fot(inverse(divide(X_3,X_3)))),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_145,plain,
( inverse(inverse(divide(X_3,X_3))) != divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))
| divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(inverse(divide(X_3,X_3))))),bind(Y0,$fot(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_146,plain,
divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_3,X_3))),divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(X) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)
| inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)) ),[1,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_148,plain,
( inverse(X) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)
| inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)) )],[refute_0_143,refute_0_148]) ).
cnf(refute_0_150,plain,
inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),
inference(subst,[],[refute_0_149:[bind(X,$fot(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)))]]) ).
cnf(refute_0_151,plain,
divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = X_30,
inference(subst,[],[refute_0_35:[bind(X,$fot(inverse(inverse(divide(X_3,X_3))))),bind(Z,$fot(X_30)),bind(X_6,$fot(X_31))]]) ).
cnf(refute_0_152,plain,
( divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != X_30
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))) ),[1],$fot(X_30)]]) ).
cnf(refute_0_153,plain,
( inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = X_30 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),X_30) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = X_30,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),divide(inverse(inverse(divide(X_3,X_3))),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(X_30,inverse(inverse(divide(X_3,X_3)))) = multiply(X_30,inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_30)),bind(Y,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_156,plain,
divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) = divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),
introduced(tautology,[refl,[$fot(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))))]]) ).
cnf(refute_0_157,plain,
( divide(X_30,inverse(inverse(divide(X_3,X_3)))) != multiply(X_30,inverse(divide(X_3,X_3)))
| divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) != divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3)))))
| divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) = divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3)))))) ),[1,1],$fot(multiply(X_30,inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_158,plain,
( divide(X_30,inverse(inverse(divide(X_3,X_3)))) != multiply(X_30,inverse(divide(X_3,X_3)))
| divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) = divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))) ),
inference(resolve,[$cnf( $equal(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3)))))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) = divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),
inference(resolve,[$cnf( $equal(divide(X_30,inverse(inverse(divide(X_3,X_3)))),multiply(X_30,inverse(divide(X_3,X_3)))) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) = divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31),
introduced(tautology,[refl,[$fot(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))]]) ).
cnf(refute_0_161,plain,
( divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) != divide(X_31,multiply(X_30,inverse(divide(X_3,X_3))))
| divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) != divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)
| divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) = divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) ),[1,0],$fot(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_162,plain,
( divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))) != divide(X_31,multiply(X_30,inverse(divide(X_3,X_3))))
| divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) = divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31) ),
inference(resolve,[$cnf( $equal(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31),divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) = divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31),
inference(resolve,[$cnf( $equal(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),divide(X_31,multiply(X_30,inverse(divide(X_3,X_3))))) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),
introduced(tautology,[refl,[$fot(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)))]]) ).
cnf(refute_0_165,plain,
( divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) != divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))) ),[1,0],$fot(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31))]]) ).
cnf(refute_0_166,plain,
( divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31) != divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) = inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)),
inference(resolve,[$cnf( $equal(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31),divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
( inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != X_30
| inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31))
| inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),X_30) ),[0],$fot(inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)))]]) ).
cnf(refute_0_169,plain,
( inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)) != X_30
| inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) = X_30 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) = X_30,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,divide(X_30,inverse(inverse(divide(X_3,X_3))))),X_31)),X_30) )],[refute_0_154,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) = multiply(X_30,inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_95:[bind(X_33,$fot(X_31)),bind(X_6,$fot(multiply(X_30,inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_172,plain,
( inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) != X_30
| inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) != multiply(X_30,inverse(divide(X_3,X_3)))
| multiply(X_30,inverse(divide(X_3,X_3))) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)),X_30) ),[0],$fot(multiply(X_30,inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_173,plain,
( inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)) != X_30
| multiply(X_30,inverse(divide(X_3,X_3))) = X_30 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)),multiply(X_30,inverse(divide(X_3,X_3)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(X_30,inverse(divide(X_3,X_3))) = X_30,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_31,multiply(X_30,inverse(divide(X_3,X_3)))),X_31)),X_30) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(X_8,inverse(divide(X_1,X_1))) = X_8,
inference(subst,[],[refute_0_174:[bind(X_3,$fot(X_1)),bind(X_30,$fot(X_8))]]) ).
cnf(refute_0_176,plain,
inverse(multiply(X_8,inverse(divide(X_1,X_1)))) = inverse(multiply(X_8,inverse(divide(X_1,X_1)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_8,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_177,plain,
( multiply(X_8,inverse(divide(X_1,X_1))) != X_8
| inverse(multiply(X_8,inverse(divide(X_1,X_1)))) != inverse(multiply(X_8,inverse(divide(X_1,X_1))))
| inverse(multiply(X_8,inverse(divide(X_1,X_1)))) = inverse(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_8,inverse(divide(X_1,X_1)))),inverse(multiply(X_8,inverse(divide(X_1,X_1))))) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_178,plain,
( multiply(X_8,inverse(divide(X_1,X_1))) != X_8
| inverse(multiply(X_8,inverse(divide(X_1,X_1)))) = inverse(X_8) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_8,inverse(divide(X_1,X_1)))),inverse(multiply(X_8,inverse(divide(X_1,X_1))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(multiply(X_8,inverse(divide(X_1,X_1)))) = inverse(X_8),
inference(resolve,[$cnf( $equal(multiply(X_8,inverse(divide(X_1,X_1))),X_8) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),
introduced(tautology,[refl,[$fot(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))))]]) ).
cnf(refute_0_181,plain,
( multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1)))))
| inverse(multiply(X_8,inverse(divide(X_1,X_1)))) != inverse(X_8)
| multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = multiply(X_17,inverse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1)))))) ),[1,1],$fot(inverse(X_8))]]) ).
cnf(refute_0_182,plain,
( inverse(multiply(X_8,inverse(divide(X_1,X_1)))) != inverse(X_8)
| multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = multiply(X_17,inverse(X_8)) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1)))))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) = multiply(X_17,inverse(X_8)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_8,inverse(divide(X_1,X_1)))),inverse(X_8)) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != multiply(X_17,inverse(X_8))
| multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != divide(X_17,X_8)
| multiply(X_17,inverse(X_8)) = divide(X_17,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),divide(X_17,X_8)) ),[0],$fot(multiply(X_17,inverse(X_8)))]]) ).
cnf(refute_0_185,plain,
( multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))) != divide(X_17,X_8)
| multiply(X_17,inverse(X_8)) = divide(X_17,X_8) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),multiply(X_17,inverse(X_8))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(X_17,inverse(X_8)) = divide(X_17,X_8),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(multiply(X_8,inverse(divide(X_1,X_1))))),divide(X_17,X_8)) )],[refute_0_142,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(multiply(X_53,Y),inverse(Y)) = divide(multiply(X_53,Y),Y),
inference(subst,[],[refute_0_186:[bind(X_17,$fot(multiply(X_53,Y))),bind(X_8,$fot(Y))]]) ).
cnf(refute_0_188,plain,
( multiply(multiply(X_53,Y),inverse(Y)) != X_53
| multiply(multiply(X_53,Y),inverse(Y)) != divide(multiply(X_53,Y),Y)
| divide(multiply(X_53,Y),Y) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_53,Y),inverse(Y)),X_53) ),[0],$fot(divide(multiply(X_53,Y),Y))]]) ).
cnf(refute_0_189,plain,
( multiply(multiply(X_53,Y),inverse(Y)) != X_53
| divide(multiply(X_53,Y),Y) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,Y),inverse(Y)),divide(multiply(X_53,Y),Y)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
divide(multiply(X_53,Y),Y) = X_53,
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,Y),inverse(Y)),X_53) )],[refute_0_124,refute_0_189]) ).
cnf(refute_0_191,plain,
divide(multiply(X_56,Z),Z) = X_56,
inference(subst,[],[refute_0_190:[bind(Y,$fot(Z)),bind(X_53,$fot(X_56))]]) ).
cnf(refute_0_192,plain,
( divide(multiply(X_56,Z),Z) != X_56
| divide(multiply(X_56,Z),divide(multiply(X_56,Z),Z)) != Z
| divide(multiply(X_56,Z),X_56) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_56,Z),divide(multiply(X_56,Z),Z)),Z) ),[0,1],$fot(X_56)]]) ).
cnf(refute_0_193,plain,
( divide(multiply(X_56,Z),divide(multiply(X_56,Z),Z)) != Z
| divide(multiply(X_56,Z),X_56) = Z ),
inference(resolve,[$cnf( $equal(divide(multiply(X_56,Z),Z),X_56) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
divide(multiply(X_56,Z),X_56) = Z,
inference(resolve,[$cnf( $equal(divide(multiply(X_56,Z),divide(multiply(X_56,Z),Z)),Z) )],[refute_0_112,refute_0_193]) ).
cnf(refute_0_195,plain,
divide(multiply(X_56,multiply(inverse(X_56),X_79)),X_56) = multiply(inverse(X_56),X_79),
inference(subst,[],[refute_0_194:[bind(Z,$fot(multiply(inverse(X_56),X_79)))]]) ).
cnf(refute_0_196,plain,
multiply(multiply(inverse(Y),X_65),Y) = divide(multiply(inverse(Y),X_65),inverse(Y)),
inference(subst,[],[refute_0_20:[bind(X,$fot(multiply(inverse(Y),X_65)))]]) ).
cnf(refute_0_197,plain,
divide(multiply(inverse(Y),X_65),inverse(Y)) = X_65,
inference(subst,[],[refute_0_194:[bind(Z,$fot(X_65)),bind(X_56,$fot(inverse(Y)))]]) ).
cnf(refute_0_198,plain,
( multiply(multiply(inverse(Y),X_65),Y) != divide(multiply(inverse(Y),X_65),inverse(Y))
| divide(multiply(inverse(Y),X_65),inverse(Y)) != X_65
| multiply(multiply(inverse(Y),X_65),Y) = X_65 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(Y),X_65),Y),X_65) ),[0],$fot(divide(multiply(inverse(Y),X_65),inverse(Y)))]]) ).
cnf(refute_0_199,plain,
( multiply(multiply(inverse(Y),X_65),Y) != divide(multiply(inverse(Y),X_65),inverse(Y))
| multiply(multiply(inverse(Y),X_65),Y) = X_65 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),X_65),inverse(Y)),X_65) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(multiply(inverse(Y),X_65),Y) = X_65,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),X_65),Y),divide(multiply(inverse(Y),X_65),inverse(Y))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(X_29,divide(multiply(X_56,X_29),X_29)) = multiply(X_56,X_29),
inference(subst,[],[refute_0_46:[bind(X_30,$fot(multiply(X_56,X_29)))]]) ).
cnf(refute_0_202,plain,
divide(multiply(X_56,X_29),X_29) = X_56,
inference(subst,[],[refute_0_190:[bind(Y,$fot(X_29)),bind(X_53,$fot(X_56))]]) ).
cnf(refute_0_203,plain,
( multiply(X_29,divide(multiply(X_56,X_29),X_29)) != multiply(X_56,X_29)
| divide(multiply(X_56,X_29),X_29) != X_56
| multiply(X_29,X_56) = multiply(X_56,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_29,divide(multiply(X_56,X_29),X_29)),multiply(X_56,X_29)) ),[0,1],$fot(X_56)]]) ).
cnf(refute_0_204,plain,
( multiply(X_29,divide(multiply(X_56,X_29),X_29)) != multiply(X_56,X_29)
| multiply(X_29,X_56) = multiply(X_56,X_29) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_56,X_29),X_29),X_56) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(X_29,X_56) = multiply(X_56,X_29),
inference(resolve,[$cnf( $equal(multiply(X_29,divide(multiply(X_56,X_29),X_29)),multiply(X_56,X_29)) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(X_29,X_56) != multiply(X_56,X_29)
| multiply(X_56,X_29) = multiply(X_29,X_56) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_29,X_56))),bind(Y0,$fot(multiply(X_56,X_29)))]]) ).
cnf(refute_0_207,plain,
multiply(X_56,X_29) = multiply(X_29,X_56),
inference(resolve,[$cnf( $equal(multiply(X_29,X_56),multiply(X_56,X_29)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(multiply(inverse(Y),X_65),Y) = multiply(Y,multiply(inverse(Y),X_65)),
inference(subst,[],[refute_0_207:[bind(X_29,$fot(Y)),bind(X_56,$fot(multiply(inverse(Y),X_65)))]]) ).
cnf(refute_0_209,plain,
( multiply(multiply(inverse(Y),X_65),Y) != X_65
| multiply(multiply(inverse(Y),X_65),Y) != multiply(Y,multiply(inverse(Y),X_65))
| multiply(Y,multiply(inverse(Y),X_65)) = X_65 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),X_65),Y),X_65) ),[0],$fot(multiply(Y,multiply(inverse(Y),X_65)))]]) ).
cnf(refute_0_210,plain,
( multiply(multiply(inverse(Y),X_65),Y) != X_65
| multiply(Y,multiply(inverse(Y),X_65)) = X_65 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),X_65),Y),multiply(Y,multiply(inverse(Y),X_65))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(Y,multiply(inverse(Y),X_65)) = X_65,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),X_65),Y),X_65) )],[refute_0_200,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(X_56,multiply(inverse(X_56),X_79)) = X_79,
inference(subst,[],[refute_0_211:[bind(Y,$fot(X_56)),bind(X_65,$fot(X_79))]]) ).
cnf(refute_0_213,plain,
( multiply(X_56,multiply(inverse(X_56),X_79)) != X_79
| divide(multiply(X_56,multiply(inverse(X_56),X_79)),X_56) != multiply(inverse(X_56),X_79)
| divide(X_79,X_56) = multiply(inverse(X_56),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_56,multiply(inverse(X_56),X_79)),X_56),multiply(inverse(X_56),X_79)) ),[0,0],$fot(X_79)]]) ).
cnf(refute_0_214,plain,
( divide(multiply(X_56,multiply(inverse(X_56),X_79)),X_56) != multiply(inverse(X_56),X_79)
| divide(X_79,X_56) = multiply(inverse(X_56),X_79) ),
inference(resolve,[$cnf( $equal(multiply(X_56,multiply(inverse(X_56),X_79)),X_79) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
divide(X_79,X_56) = multiply(inverse(X_56),X_79),
inference(resolve,[$cnf( $equal(divide(multiply(X_56,multiply(inverse(X_56),X_79)),X_56),multiply(inverse(X_56),X_79)) )],[refute_0_195,refute_0_214]) ).
cnf(refute_0_216,plain,
( divide(X_79,X_56) != multiply(inverse(X_56),X_79)
| multiply(inverse(X_56),X_79) = divide(X_79,X_56) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(divide(X_79,X_56))),bind(Y0,$fot(multiply(inverse(X_56),X_79)))]]) ).
cnf(refute_0_217,plain,
multiply(inverse(X_56),X_79) = divide(X_79,X_56),
inference(resolve,[$cnf( $equal(divide(X_79,X_56),multiply(inverse(X_56),X_79)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(inverse(a1),a1) = divide(a1,a1),
inference(subst,[],[refute_0_217:[bind(X_56,$fot(a1)),bind(X_79,$fot(a1))]]) ).
cnf(refute_0_219,plain,
( multiply(inverse(a1),a1) != divide(a1,a1)
| divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(divide(a1,a1))]]) ).
cnf(refute_0_220,plain,
( divide(a1,a1) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),divide(a1,a1)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(inverse(b1),b1) = divide(b1,b1),
inference(subst,[],[refute_0_217:[bind(X_56,$fot(b1)),bind(X_79,$fot(b1))]]) ).
cnf(refute_0_222,plain,
( multiply(inverse(b1),b1) != divide(b1,b1)
| divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(a1,a1),multiply(inverse(b1),b1)) ),[1],$fot(divide(b1,b1))]]) ).
cnf(refute_0_223,plain,
( divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),divide(b1,b1)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( divide(a1,a1) != divide(b1,b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(divide(a1,a1),multiply(inverse(b1),b1)) )],[refute_0_223,refute_0_220]) ).
cnf(refute_0_225,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_224,prove_these_axioms]) ).
cnf(refute_0_226,plain,
divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,divide(X,divide(X_5,divide(X_6,divide(X,X_5))))))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(divide(X_5,divide(X_6,divide(X,X_5)))))]]) ).
cnf(refute_0_227,plain,
divide(X,divide(X_5,divide(X_6,divide(X,X_5)))) = X_6,
inference(subst,[],[single_axiom:[bind(Y,$fot(X_5)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_228,plain,
( divide(X,divide(X_5,divide(X_6,divide(X,X_5)))) != X_6
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,divide(X,divide(X_5,divide(X_6,divide(X,X_5))))))) != Z
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,divide(X,divide(X_5,divide(X_6,divide(X,X_5))))))),Z) ),[0,1,1,1],$fot(X_6)]]) ).
cnf(refute_0_229,plain,
( divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,divide(X,divide(X_5,divide(X_6,divide(X,X_5))))))) != Z
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,divide(X_5,divide(X_6,divide(X,X_5)))),X_6) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,divide(X,divide(X_5,divide(X_6,divide(X,X_5))))))),Z) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(X,divide(X_63,X_64)) = divide(X,inverse(divide(X_63,X_64))),
inference(subst,[],[refute_0_20:[bind(Y,$fot(divide(X_63,X_64)))]]) ).
cnf(refute_0_232,plain,
divide(X_41,divide(X_41,inverse(Y))) = inverse(Y),
inference(subst,[],[refute_0_111:[bind(Y,$fot(X_41)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_233,plain,
multiply(X_41,Y) = divide(X_41,inverse(Y)),
inference(subst,[],[refute_0_20:[bind(X,$fot(X_41))]]) ).
cnf(refute_0_234,plain,
( multiply(X_41,Y) != divide(X_41,inverse(Y))
| divide(X_41,inverse(Y)) = multiply(X_41,Y) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_41,Y))),bind(Y0,$fot(divide(X_41,inverse(Y))))]]) ).
cnf(refute_0_235,plain,
divide(X_41,inverse(Y)) = multiply(X_41,Y),
inference(resolve,[$cnf( $equal(multiply(X_41,Y),divide(X_41,inverse(Y))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( divide(X_41,divide(X_41,inverse(Y))) != inverse(Y)
| divide(X_41,inverse(Y)) != multiply(X_41,Y)
| divide(X_41,multiply(X_41,Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_41,divide(X_41,inverse(Y))),inverse(Y)) ),[0,1],$fot(multiply(X_41,Y))]]) ).
cnf(refute_0_237,plain,
( divide(X_41,divide(X_41,inverse(Y))) != inverse(Y)
| divide(X_41,multiply(X_41,Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_41,inverse(Y)),multiply(X_41,Y)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
divide(X_41,multiply(X_41,Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(divide(X_41,divide(X_41,inverse(Y))),inverse(Y)) )],[refute_0_232,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(X_62,multiply(X_62,divide(X_30,X_62))) = inverse(divide(X_30,X_62)),
inference(subst,[],[refute_0_238:[bind(Y,$fot(divide(X_30,X_62))),bind(X_41,$fot(X_62))]]) ).
cnf(refute_0_240,plain,
multiply(X_62,divide(X_30,X_62)) = X_30,
inference(subst,[],[refute_0_46:[bind(X_29,$fot(X_62))]]) ).
cnf(refute_0_241,plain,
( multiply(X_62,divide(X_30,X_62)) != X_30
| divide(X_62,multiply(X_62,divide(X_30,X_62))) != inverse(divide(X_30,X_62))
| divide(X_62,X_30) = inverse(divide(X_30,X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_62,multiply(X_62,divide(X_30,X_62))),inverse(divide(X_30,X_62))) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_242,plain,
( divide(X_62,multiply(X_62,divide(X_30,X_62))) != inverse(divide(X_30,X_62))
| divide(X_62,X_30) = inverse(divide(X_30,X_62)) ),
inference(resolve,[$cnf( $equal(multiply(X_62,divide(X_30,X_62)),X_30) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
divide(X_62,X_30) = inverse(divide(X_30,X_62)),
inference(resolve,[$cnf( $equal(divide(X_62,multiply(X_62,divide(X_30,X_62))),inverse(divide(X_30,X_62))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
divide(X_64,X_63) = inverse(divide(X_63,X_64)),
inference(subst,[],[refute_0_243:[bind(X_30,$fot(X_63)),bind(X_62,$fot(X_64))]]) ).
cnf(refute_0_245,plain,
( divide(X_64,X_63) != inverse(divide(X_63,X_64))
| inverse(divide(X_63,X_64)) = divide(X_64,X_63) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(divide(X_64,X_63))),bind(Y0,$fot(inverse(divide(X_63,X_64))))]]) ).
cnf(refute_0_246,plain,
inverse(divide(X_63,X_64)) = divide(X_64,X_63),
inference(resolve,[$cnf( $equal(divide(X_64,X_63),inverse(divide(X_63,X_64))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( multiply(X,divide(X_63,X_64)) != divide(X,inverse(divide(X_63,X_64)))
| inverse(divide(X_63,X_64)) != divide(X_64,X_63)
| multiply(X,divide(X_63,X_64)) = divide(X,divide(X_64,X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,divide(X_63,X_64)),divide(X,inverse(divide(X_63,X_64)))) ),[1,1],$fot(divide(X_64,X_63))]]) ).
cnf(refute_0_248,plain,
( multiply(X,divide(X_63,X_64)) != divide(X,inverse(divide(X_63,X_64)))
| multiply(X,divide(X_63,X_64)) = divide(X,divide(X_64,X_63)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_63,X_64)),divide(X_64,X_63)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(X,divide(X_63,X_64)) = divide(X,divide(X_64,X_63)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_63,X_64)),divide(X,inverse(divide(X_63,X_64)))) )],[refute_0_231,refute_0_248]) ).
cnf(refute_0_250,plain,
( multiply(X,divide(X_63,X_64)) != divide(X,divide(X_64,X_63))
| divide(X,divide(X_64,X_63)) = multiply(X,divide(X_63,X_64)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,divide(X_63,X_64)))),bind(Y0,$fot(divide(X,divide(X_64,X_63))))]]) ).
cnf(refute_0_251,plain,
divide(X,divide(X_64,X_63)) = multiply(X,divide(X_63,X_64)),
inference(resolve,[$cnf( $equal(multiply(X,divide(X_63,X_64)),divide(X,divide(X_64,X_63))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
divide(X_6,divide(X,X_5)) = multiply(X_6,divide(X_5,X)),
inference(subst,[],[refute_0_251:[bind(X,$fot(X_6)),bind(X_63,$fot(X_5)),bind(X_64,$fot(X))]]) ).
cnf(refute_0_253,plain,
divide(divide(X_6,divide(X,X_5)),X_5) = divide(divide(X_6,divide(X,X_5)),X_5),
introduced(tautology,[refl,[$fot(divide(divide(X_6,divide(X,X_5)),X_5))]]) ).
cnf(refute_0_254,plain,
( divide(X_6,divide(X,X_5)) != multiply(X_6,divide(X_5,X))
| divide(divide(X_6,divide(X,X_5)),X_5) != divide(divide(X_6,divide(X,X_5)),X_5)
| divide(divide(X_6,divide(X,X_5)),X_5) = divide(multiply(X_6,divide(X_5,X)),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_6,divide(X,X_5)),X_5),divide(divide(X_6,divide(X,X_5)),X_5)) ),[1,0],$fot(multiply(X_6,divide(X_5,X)))]]) ).
cnf(refute_0_255,plain,
( divide(X_6,divide(X,X_5)) != multiply(X_6,divide(X_5,X))
| divide(divide(X_6,divide(X,X_5)),X_5) = divide(multiply(X_6,divide(X_5,X)),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(X_6,divide(X,X_5)),X_5),divide(divide(X_6,divide(X,X_5)),X_5)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(divide(X_6,divide(X,X_5)),X_5) = divide(multiply(X_6,divide(X_5,X)),X_5),
inference(resolve,[$cnf( $equal(divide(X_6,divide(X,X_5)),multiply(X_6,divide(X_5,X))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) = multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)),
introduced(tautology,[refl,[$fot(multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)))]]) ).
cnf(refute_0_258,plain,
( multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) != multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5))
| divide(divide(X_6,divide(X,X_5)),X_5) != divide(multiply(X_6,divide(X_5,X)),X_5)
| multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) = multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)),multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5))) ),[1,1],$fot(divide(multiply(X_6,divide(X_5,X)),X_5))]]) ).
cnf(refute_0_259,plain,
( divide(divide(X_6,divide(X,X_5)),X_5) != divide(multiply(X_6,divide(X_5,X)),X_5)
| multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) = multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)) ),
inference(resolve,[$cnf( $equal(multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)),multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) = multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)),
inference(resolve,[$cnf( $equal(divide(divide(X_6,divide(X,X_5)),X_5),divide(multiply(X_6,divide(X_5,X)),X_5)) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) = multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)),
inference(subst,[],[refute_0_251:[bind(X,$fot(divide(Z,X_6))),bind(X_63,$fot(divide(X_6,divide(X,X_5)))),bind(X_64,$fot(X_5))]]) ).
cnf(refute_0_262,plain,
( multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) != multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))
| divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) != multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5))
| divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) = multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))))),bind(Y0,$fot(multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)))),bind(Z0,$fot(multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))))]]) ).
cnf(refute_0_263,plain,
( multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)) != multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))
| divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) = multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))),multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) = multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)),
inference(resolve,[$cnf( $equal(multiply(divide(Z,X_6),divide(divide(X_6,divide(X,X_5)),X_5)),multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) = multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))),
introduced(tautology,[refl,[$fot(multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))))]]) ).
cnf(refute_0_266,plain,
( multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) != multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))))
| divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) != multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))
| multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) = multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))),multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))))) ),[1,1],$fot(multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))]]) ).
cnf(refute_0_267,plain,
( divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))) != multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))
| multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) = multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) ),
inference(resolve,[$cnf( $equal(multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))),multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) = multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))),
inference(resolve,[$cnf( $equal(divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))),multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))),
inference(subst,[],[refute_0_251:[bind(X_63,$fot(divide(Z,X_6))),bind(X_64,$fot(divide(X_5,divide(X_6,divide(X,X_5)))))]]) ).
cnf(refute_0_270,plain,
( multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) != multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) != multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))))
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))))),bind(Y0,$fot(multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))))),bind(Z0,$fot(multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))))]]) ).
cnf(refute_0_271,plain,
( multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))) != multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))),multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5)))))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) = multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))),
inference(resolve,[$cnf( $equal(multiply(X,divide(divide(Z,X_6),divide(X_5,divide(X_6,divide(X,X_5))))),multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
( divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) != Z
| divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) != multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))
| multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))),Z) ),[0],$fot(multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))))]]) ).
cnf(refute_0_274,plain,
( divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))) != Z
| multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))),multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5)))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(X,multiply(divide(Z,X_6),divide(multiply(X_6,divide(X_5,X)),X_5))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(X_5,divide(X_6,divide(X,X_5))),divide(Z,X_6))),Z) )],[refute_0_230,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(X_67,multiply(divide(multiply(X_53,X_70),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_53,X_70),
inference(subst,[],[refute_0_275:[bind(X,$fot(X_67)),bind(Z,$fot(multiply(X_53,X_70))),bind(X_5,$fot(X_69)),bind(X_6,$fot(X_70))]]) ).
cnf(refute_0_277,plain,
divide(multiply(X_53,X_70),X_70) = X_53,
inference(subst,[],[refute_0_190:[bind(Y,$fot(X_70))]]) ).
cnf(refute_0_278,plain,
( multiply(X_67,multiply(divide(multiply(X_53,X_70),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_53,X_70)
| divide(multiply(X_53,X_70),X_70) != X_53
| multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_53,X_70) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_67,multiply(divide(multiply(X_53,X_70),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_53,X_70)) ),[0,1,0],$fot(X_53)]]) ).
cnf(refute_0_279,plain,
( multiply(X_67,multiply(divide(multiply(X_53,X_70),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_53,X_70)
| multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_53,X_70) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_53,X_70),X_70),X_53) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_53,X_70),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(divide(multiply(X_53,X_70),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_53,X_70)) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X_67,multiply(divide(multiply(X_70,Z),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_70,Z),
inference(subst,[],[refute_0_275:[bind(X,$fot(X_67)),bind(Z,$fot(multiply(X_70,Z))),bind(X_5,$fot(X_69)),bind(X_6,$fot(X_70))]]) ).
cnf(refute_0_282,plain,
divide(multiply(X_70,Z),X_70) = Z,
inference(subst,[],[refute_0_194:[bind(X_56,$fot(X_70))]]) ).
cnf(refute_0_283,plain,
( multiply(X_67,multiply(divide(multiply(X_70,Z),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_70,Z)
| divide(multiply(X_70,Z),X_70) != Z
| multiply(X_67,multiply(Z,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_70,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_67,multiply(divide(multiply(X_70,Z),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_70,Z)) ),[0,1,0],$fot(Z)]]) ).
cnf(refute_0_284,plain,
( multiply(X_67,multiply(divide(multiply(X_70,Z),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_70,Z)
| multiply(X_67,multiply(Z,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_70,Z) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_70,Z),X_70),Z) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(X_67,multiply(Z,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_70,Z),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(divide(multiply(X_70,Z),X_70),divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_70,Z)) )],[refute_0_281,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) = multiply(X_70,X_53),
inference(subst,[],[refute_0_285:[bind(Z,$fot(X_53))]]) ).
cnf(refute_0_287,plain,
( multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_53,X_70)
| multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_70,X_53)
| multiply(X_70,X_53) = multiply(X_53,X_70) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_53,X_70)) ),[0],$fot(multiply(X_70,X_53))]]) ).
cnf(refute_0_288,plain,
( multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))) != multiply(X_53,X_70)
| multiply(X_70,X_53) = multiply(X_53,X_70) ),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_70,X_53)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(X_70,X_53) = multiply(X_53,X_70),
inference(resolve,[$cnf( $equal(multiply(X_67,multiply(X_53,divide(multiply(X_70,divide(X_69,X_67)),X_69))),multiply(X_53,X_70)) )],[refute_0_280,refute_0_288]) ).
cnf(refute_0_290,plain,
( multiply(X_70,X_53) != multiply(X_53,X_70)
| multiply(X_53,X_70) = multiply(X_70,X_53) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_70,X_53))),bind(Y0,$fot(multiply(X_53,X_70)))]]) ).
cnf(refute_0_291,plain,
multiply(X_53,X_70) = multiply(X_70,X_53),
inference(resolve,[$cnf( $equal(multiply(X_70,X_53),multiply(X_53,X_70)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_291:[bind(X_53,$fot(b4)),bind(X_70,$fot(a4))]]) ).
cnf(refute_0_293,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_294,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_294,refute_0_225]) ).
cnf(refute_0_296,plain,
multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))) = X_33,
inference(subst,[],[refute_0_46:[bind(X_29,$fot(inverse(divide(X_1,X_1)))),bind(X_30,$fot(X_33))]]) ).
cnf(refute_0_297,plain,
inverse(inverse(X_18)) = divide(inverse(divide(X_1,X_1)),inverse(X_18)),
inference(subst,[],[refute_0_133:[bind(X,$fot(inverse(X_18)))]]) ).
cnf(refute_0_298,plain,
multiply(inverse(divide(X_1,X_1)),X_18) = divide(inverse(divide(X_1,X_1)),inverse(X_18)),
inference(subst,[],[refute_0_20:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(X_18))]]) ).
cnf(refute_0_299,plain,
( multiply(inverse(divide(X_1,X_1)),X_18) != divide(inverse(divide(X_1,X_1)),inverse(X_18))
| divide(inverse(divide(X_1,X_1)),inverse(X_18)) = multiply(inverse(divide(X_1,X_1)),X_18) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(divide(X_1,X_1)),X_18))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),inverse(X_18))))]]) ).
cnf(refute_0_300,plain,
divide(inverse(divide(X_1,X_1)),inverse(X_18)) = multiply(inverse(divide(X_1,X_1)),X_18),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),X_18),divide(inverse(divide(X_1,X_1)),inverse(X_18))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( divide(inverse(divide(X_1,X_1)),inverse(X_18)) != multiply(inverse(divide(X_1,X_1)),X_18)
| inverse(inverse(X_18)) != divide(inverse(divide(X_1,X_1)),inverse(X_18))
| inverse(inverse(X_18)) = multiply(inverse(divide(X_1,X_1)),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_18)),divide(inverse(divide(X_1,X_1)),inverse(X_18))) ),[1],$fot(multiply(inverse(divide(X_1,X_1)),X_18))]]) ).
cnf(refute_0_302,plain,
( inverse(inverse(X_18)) != divide(inverse(divide(X_1,X_1)),inverse(X_18))
| inverse(inverse(X_18)) = multiply(inverse(divide(X_1,X_1)),X_18) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),inverse(X_18)),multiply(inverse(divide(X_1,X_1)),X_18)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(inverse(X_18)) = multiply(inverse(divide(X_1,X_1)),X_18),
inference(resolve,[$cnf( $equal(inverse(inverse(X_18)),divide(inverse(divide(X_1,X_1)),inverse(X_18))) )],[refute_0_297,refute_0_302]) ).
cnf(refute_0_304,plain,
inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))),
inference(subst,[],[refute_0_303:[bind(X_18,$fot(divide(X_33,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_305,plain,
( inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) != multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1))))
| multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))) = inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))))),bind(Y0,$fot(multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1))))))]]) ).
cnf(refute_0_306,plain,
multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))) = inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))),multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1))))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))) != X_33
| multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))) != inverse(inverse(divide(X_33,inverse(divide(X_1,X_1)))))
| inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))),X_33) ),[0],$fot(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))) != X_33
| inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))),inverse(inverse(divide(X_33,inverse(divide(X_1,X_1)))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),divide(X_33,inverse(divide(X_1,X_1)))),X_33) )],[refute_0_296,refute_0_308]) ).
cnf(refute_0_310,plain,
divide(X_33,inverse(divide(X_1,X_1))) = multiply(X_33,divide(X_1,X_1)),
inference(subst,[],[refute_0_22:[bind(X,$fot(X_33)),bind(Y,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_311,plain,
inverse(divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))) = X_8,
inference(subst,[],[refute_0_90:[bind(X_5,$fot(divide(Z,Z))),bind(X_6,$fot(X_8))]]) ).
cnf(refute_0_312,plain,
inverse(multiply(X_8,divide(Z,Z))) = divide(divide(Z,Z),multiply(X_8,divide(Z,Z))),
inference(subst,[],[inverse:[bind(X,$fot(multiply(X_8,divide(Z,Z))))]]) ).
cnf(refute_0_313,plain,
( inverse(multiply(X_8,divide(Z,Z))) != divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))
| divide(divide(Z,Z),multiply(X_8,divide(Z,Z))) = inverse(multiply(X_8,divide(Z,Z))) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(multiply(X_8,divide(Z,Z))))),bind(Y0,$fot(divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))))]]) ).
cnf(refute_0_314,plain,
divide(divide(Z,Z),multiply(X_8,divide(Z,Z))) = inverse(multiply(X_8,divide(Z,Z))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_8,divide(Z,Z))),divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( divide(divide(Z,Z),multiply(X_8,divide(Z,Z))) != inverse(multiply(X_8,divide(Z,Z)))
| inverse(divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))) != X_8
| inverse(inverse(multiply(X_8,divide(Z,Z)))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))),X_8) ),[0,0],$fot(inverse(multiply(X_8,divide(Z,Z))))]]) ).
cnf(refute_0_316,plain,
( inverse(divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))) != X_8
| inverse(inverse(multiply(X_8,divide(Z,Z)))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),multiply(X_8,divide(Z,Z))),inverse(multiply(X_8,divide(Z,Z)))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(inverse(multiply(X_8,divide(Z,Z)))) = X_8,
inference(resolve,[$cnf( $equal(inverse(divide(divide(Z,Z),multiply(X_8,divide(Z,Z)))),X_8) )],[refute_0_311,refute_0_316]) ).
cnf(refute_0_318,plain,
inverse(inverse(multiply(Z,divide(Z,Z)))) = Z,
inference(subst,[],[refute_0_317:[bind(X_8,$fot(Z))]]) ).
cnf(refute_0_319,plain,
multiply(Z,divide(Z,Z)) = Z,
inference(subst,[],[refute_0_46:[bind(X_29,$fot(Z)),bind(X_30,$fot(Z))]]) ).
cnf(refute_0_320,plain,
( multiply(Z,divide(Z,Z)) != Z
| inverse(inverse(multiply(Z,divide(Z,Z)))) != Z
| inverse(inverse(Z)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(Z,divide(Z,Z)))),Z) ),[0,0,0],$fot(Z)]]) ).
cnf(refute_0_321,plain,
( inverse(inverse(multiply(Z,divide(Z,Z)))) != Z
| inverse(inverse(Z)) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,divide(Z,Z)),Z) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
inverse(inverse(Z)) = Z,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(Z,divide(Z,Z)))),Z) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = divide(X_33,inverse(divide(X_1,X_1))),
inference(subst,[],[refute_0_322:[bind(Z,$fot(divide(X_33,inverse(divide(X_1,X_1)))))]]) ).
cnf(refute_0_324,plain,
( divide(X_33,inverse(divide(X_1,X_1))) != multiply(X_33,divide(X_1,X_1))
| inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) != divide(X_33,inverse(divide(X_1,X_1)))
| inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = multiply(X_33,divide(X_1,X_1)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))))),bind(Y0,$fot(divide(X_33,inverse(divide(X_1,X_1))))),bind(Z0,$fot(multiply(X_33,divide(X_1,X_1))))]]) ).
cnf(refute_0_325,plain,
( divide(X_33,inverse(divide(X_1,X_1))) != multiply(X_33,divide(X_1,X_1))
| inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = multiply(X_33,divide(X_1,X_1)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))),divide(X_33,inverse(divide(X_1,X_1)))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) = multiply(X_33,divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(divide(X_33,inverse(divide(X_1,X_1))),multiply(X_33,divide(X_1,X_1))) )],[refute_0_310,refute_0_325]) ).
cnf(refute_0_327,plain,
( inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) != X_33
| inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) != multiply(X_33,divide(X_1,X_1))
| multiply(X_33,divide(X_1,X_1)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))),X_33) ),[0],$fot(multiply(X_33,divide(X_1,X_1)))]]) ).
cnf(refute_0_328,plain,
( inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))) != X_33
| multiply(X_33,divide(X_1,X_1)) = X_33 ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))),multiply(X_33,divide(X_1,X_1))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
multiply(X_33,divide(X_1,X_1)) = X_33,
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_33,inverse(divide(X_1,X_1))))),X_33) )],[refute_0_309,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(a2,divide(b2,b2)) = a2,
inference(subst,[],[refute_0_329:[bind(X_1,$fot(b2)),bind(X_33,$fot(a2))]]) ).
cnf(refute_0_331,plain,
multiply(b2,inverse(b2)) = divide(b2,b2),
inference(subst,[],[refute_0_186:[bind(X_17,$fot(b2)),bind(X_8,$fot(b2))]]) ).
cnf(refute_0_332,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,multiply(b2,inverse(b2))),
introduced(tautology,[refl,[$fot(multiply(a2,multiply(b2,inverse(b2))))]]) ).
cnf(refute_0_333,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(b2,inverse(b2)) != divide(b2,b2)
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,divide(b2,b2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) ),[1,1],$fot(divide(b2,b2))]]) ).
cnf(refute_0_334,plain,
( multiply(b2,inverse(b2)) != divide(b2,b2)
| multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,divide(b2,b2)) ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(a2,multiply(b2,inverse(b2))) = multiply(a2,divide(b2,b2)),
inference(resolve,[$cnf( $equal(multiply(b2,inverse(b2)),divide(b2,b2)) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
( multiply(a2,multiply(b2,inverse(b2))) != multiply(a2,divide(b2,b2))
| multiply(a2,divide(b2,b2)) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Y0,$fot(multiply(a2,divide(b2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_337,plain,
( multiply(a2,divide(b2,b2)) != a2
| multiply(a2,multiply(b2,inverse(b2))) = a2 ),
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),multiply(a2,divide(b2,b2))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(a2,multiply(b2,inverse(b2))) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,divide(b2,b2)),a2) )],[refute_0_330,refute_0_337]) ).
cnf(refute_0_339,plain,
divide(X,divide(inverse(X_18),divide(Z,divide(X,inverse(X_18))))) = Z,
inference(subst,[],[single_axiom:[bind(Y,$fot(inverse(X_18)))]]) ).
cnf(refute_0_340,plain,
multiply(X,X_18) = divide(X,inverse(X_18)),
inference(subst,[],[refute_0_20:[bind(Y,$fot(X_18))]]) ).
cnf(refute_0_341,plain,
( multiply(X,X_18) != divide(X,inverse(X_18))
| divide(X,inverse(X_18)) = multiply(X,X_18) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,X_18))),bind(Y0,$fot(divide(X,inverse(X_18))))]]) ).
cnf(refute_0_342,plain,
divide(X,inverse(X_18)) = multiply(X,X_18),
inference(resolve,[$cnf( $equal(multiply(X,X_18),divide(X,inverse(X_18))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( divide(X,divide(inverse(X_18),divide(Z,divide(X,inverse(X_18))))) != Z
| divide(X,inverse(X_18)) != multiply(X,X_18)
| divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(inverse(X_18),divide(Z,divide(X,inverse(X_18))))),Z) ),[0,1,1,1],$fot(multiply(X,X_18))]]) ).
cnf(refute_0_344,plain,
( divide(X,divide(inverse(X_18),divide(Z,divide(X,inverse(X_18))))) != Z
| divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,inverse(X_18)),multiply(X,X_18)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(inverse(X_18),divide(Z,divide(X,inverse(X_18))))),Z) )],[refute_0_339,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(divide(Z,multiply(X,X_18)),X_18) = multiply(X_18,divide(Z,multiply(X,X_18))),
inference(subst,[],[refute_0_207:[bind(X_29,$fot(X_18)),bind(X_56,$fot(divide(Z,multiply(X,X_18))))]]) ).
cnf(refute_0_347,plain,
divide(divide(Z,multiply(X,X_18)),inverse(X_18)) = multiply(divide(Z,multiply(X,X_18)),X_18),
inference(subst,[],[refute_0_22:[bind(X,$fot(divide(Z,multiply(X,X_18)))),bind(Y,$fot(X_18))]]) ).
cnf(refute_0_348,plain,
( multiply(divide(Z,multiply(X,X_18)),X_18) != multiply(X_18,divide(Z,multiply(X,X_18)))
| divide(divide(Z,multiply(X,X_18)),inverse(X_18)) != multiply(divide(Z,multiply(X,X_18)),X_18)
| divide(divide(Z,multiply(X,X_18)),inverse(X_18)) = multiply(X_18,divide(Z,multiply(X,X_18))) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(divide(Z,multiply(X,X_18)),inverse(X_18)))),bind(Y0,$fot(multiply(divide(Z,multiply(X,X_18)),X_18))),bind(Z0,$fot(multiply(X_18,divide(Z,multiply(X,X_18)))))]]) ).
cnf(refute_0_349,plain,
( multiply(divide(Z,multiply(X,X_18)),X_18) != multiply(X_18,divide(Z,multiply(X,X_18)))
| divide(divide(Z,multiply(X,X_18)),inverse(X_18)) = multiply(X_18,divide(Z,multiply(X,X_18))) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,multiply(X,X_18)),inverse(X_18)),multiply(divide(Z,multiply(X,X_18)),X_18)) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
divide(divide(Z,multiply(X,X_18)),inverse(X_18)) = multiply(X_18,divide(Z,multiply(X,X_18))),
inference(resolve,[$cnf( $equal(multiply(divide(Z,multiply(X,X_18)),X_18),multiply(X_18,divide(Z,multiply(X,X_18)))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) = multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))),
introduced(tautology,[refl,[$fot(multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))))]]) ).
cnf(refute_0_352,plain,
( multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) != multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18)))
| divide(divide(Z,multiply(X,X_18)),inverse(X_18)) != multiply(X_18,divide(Z,multiply(X,X_18)))
| multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) = multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))),multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18)))) ),[1,1],$fot(multiply(X_18,divide(Z,multiply(X,X_18))))]]) ).
cnf(refute_0_353,plain,
( divide(divide(Z,multiply(X,X_18)),inverse(X_18)) != multiply(X_18,divide(Z,multiply(X,X_18)))
| multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) = multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) ),
inference(resolve,[$cnf( $equal(multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))),multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18)))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) = multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))),
inference(resolve,[$cnf( $equal(divide(divide(Z,multiply(X,X_18)),inverse(X_18)),multiply(X_18,divide(Z,multiply(X,X_18)))) )],[refute_0_350,refute_0_353]) ).
cnf(refute_0_355,plain,
divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))),
inference(subst,[],[refute_0_251:[bind(X_63,$fot(divide(Z,multiply(X,X_18)))),bind(X_64,$fot(inverse(X_18)))]]) ).
cnf(refute_0_356,plain,
( multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) != multiply(X,multiply(X_18,divide(Z,multiply(X,X_18))))
| divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) != multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18)))
| divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))))),bind(Y0,$fot(multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))))),bind(Z0,$fot(multiply(X,multiply(X_18,divide(Z,multiply(X,X_18))))))]]) ).
cnf(refute_0_357,plain,
( multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))) != multiply(X,multiply(X_18,divide(Z,multiply(X,X_18))))
| divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))),multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18)))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) = multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))),
inference(resolve,[$cnf( $equal(multiply(X,divide(divide(Z,multiply(X,X_18)),inverse(X_18))),multiply(X,multiply(X_18,divide(Z,multiply(X,X_18))))) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) != Z
| divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) != multiply(X,multiply(X_18,divide(Z,multiply(X,X_18))))
| multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))),Z) ),[0],$fot(multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))))]]) ).
cnf(refute_0_360,plain,
( divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))) != Z
| multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) = Z ),
inference(resolve,[$cnf( $equal(divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))),multiply(X,multiply(X_18,divide(Z,multiply(X,X_18))))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(X,multiply(X_18,divide(Z,multiply(X,X_18)))) = Z,
inference(resolve,[$cnf( $equal(divide(X,divide(inverse(X_18),divide(Z,multiply(X,X_18)))),Z) )],[refute_0_345,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(X_80,multiply(X_82,divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)))) = multiply(X_53,multiply(X_80,X_82)),
inference(subst,[],[refute_0_361:[bind(X,$fot(X_80)),bind(Z,$fot(multiply(X_53,multiply(X_80,X_82)))),bind(X_18,$fot(X_82))]]) ).
cnf(refute_0_363,plain,
divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)) = X_53,
inference(subst,[],[refute_0_190:[bind(Y,$fot(multiply(X_80,X_82)))]]) ).
cnf(refute_0_364,plain,
( multiply(X_80,multiply(X_82,divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)))) != multiply(X_53,multiply(X_80,X_82))
| divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)) != X_53
| multiply(X_80,multiply(X_82,X_53)) = multiply(X_53,multiply(X_80,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(X_82,divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)))),multiply(X_53,multiply(X_80,X_82))) ),[0,1,1],$fot(X_53)]]) ).
cnf(refute_0_365,plain,
( multiply(X_80,multiply(X_82,divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)))) != multiply(X_53,multiply(X_80,X_82))
| multiply(X_80,multiply(X_82,X_53)) = multiply(X_53,multiply(X_80,X_82)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)),X_53) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(X_80,multiply(X_82,X_53)) = multiply(X_53,multiply(X_80,X_82)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_82,divide(multiply(X_53,multiply(X_80,X_82)),multiply(X_80,X_82)))),multiply(X_53,multiply(X_80,X_82))) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
( multiply(X_80,multiply(X_82,X_53)) != multiply(X_53,multiply(X_80,X_82))
| multiply(X_53,multiply(X_80,X_82)) = multiply(X_80,multiply(X_82,X_53)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_80,multiply(X_82,X_53)))),bind(Y0,$fot(multiply(X_53,multiply(X_80,X_82))))]]) ).
cnf(refute_0_368,plain,
multiply(X_53,multiply(X_80,X_82)) = multiply(X_80,multiply(X_82,X_53)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_82,X_53)),multiply(X_53,multiply(X_80,X_82))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(inverse(b2),multiply(a2,b2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(subst,[],[refute_0_368:[bind(X_53,$fot(inverse(b2))),bind(X_80,$fot(a2)),bind(X_82,$fot(b2))]]) ).
cnf(refute_0_370,plain,
multiply(X,multiply(X_98,X_99)) = divide(X,inverse(multiply(X_98,X_99))),
inference(subst,[],[refute_0_20:[bind(Y,$fot(multiply(X_98,X_99)))]]) ).
cnf(refute_0_371,plain,
divide(inverse(X_97),X_56) = multiply(inverse(X_56),inverse(X_97)),
inference(subst,[],[refute_0_215:[bind(X_79,$fot(inverse(X_97)))]]) ).
cnf(refute_0_372,plain,
multiply(inverse(X_56),inverse(X_97)) = divide(inverse(X_56),X_97),
inference(subst,[],[refute_0_186:[bind(X_17,$fot(inverse(X_56))),bind(X_8,$fot(X_97))]]) ).
cnf(refute_0_373,plain,
( multiply(inverse(X_56),inverse(X_97)) != divide(inverse(X_56),X_97)
| divide(inverse(X_97),X_56) != multiply(inverse(X_56),inverse(X_97))
| divide(inverse(X_97),X_56) = divide(inverse(X_56),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_97),X_56),multiply(inverse(X_56),inverse(X_97))) ),[1],$fot(divide(inverse(X_56),X_97))]]) ).
cnf(refute_0_374,plain,
( divide(inverse(X_97),X_56) != multiply(inverse(X_56),inverse(X_97))
| divide(inverse(X_97),X_56) = divide(inverse(X_56),X_97) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(X_97)),divide(inverse(X_56),X_97)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
divide(inverse(X_97),X_56) = divide(inverse(X_56),X_97),
inference(resolve,[$cnf( $equal(divide(inverse(X_97),X_56),multiply(inverse(X_56),inverse(X_97))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
divide(inverse(Y),X_63) = inverse(divide(X_63,inverse(Y))),
inference(subst,[],[refute_0_243:[bind(X_30,$fot(X_63)),bind(X_62,$fot(inverse(Y)))]]) ).
cnf(refute_0_377,plain,
multiply(X_63,Y) = divide(X_63,inverse(Y)),
inference(subst,[],[refute_0_20:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_378,plain,
( multiply(X_63,Y) != divide(X_63,inverse(Y))
| divide(X_63,inverse(Y)) = multiply(X_63,Y) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_63,Y))),bind(Y0,$fot(divide(X_63,inverse(Y))))]]) ).
cnf(refute_0_379,plain,
divide(X_63,inverse(Y)) = multiply(X_63,Y),
inference(resolve,[$cnf( $equal(multiply(X_63,Y),divide(X_63,inverse(Y))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( divide(X_63,inverse(Y)) != multiply(X_63,Y)
| divide(inverse(Y),X_63) != inverse(divide(X_63,inverse(Y)))
| divide(inverse(Y),X_63) = inverse(multiply(X_63,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(Y),X_63),inverse(divide(X_63,inverse(Y)))) ),[1,0],$fot(multiply(X_63,Y))]]) ).
cnf(refute_0_381,plain,
( divide(inverse(Y),X_63) != inverse(divide(X_63,inverse(Y)))
| divide(inverse(Y),X_63) = inverse(multiply(X_63,Y)) ),
inference(resolve,[$cnf( $equal(divide(X_63,inverse(Y)),multiply(X_63,Y)) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
divide(inverse(Y),X_63) = inverse(multiply(X_63,Y)),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_63),inverse(divide(X_63,inverse(Y)))) )],[refute_0_376,refute_0_381]) ).
cnf(refute_0_383,plain,
divide(inverse(X_97),X_56) = inverse(multiply(X_56,X_97)),
inference(subst,[],[refute_0_382:[bind(Y,$fot(X_97)),bind(X_63,$fot(X_56))]]) ).
cnf(refute_0_384,plain,
( divide(inverse(X_97),X_56) != divide(inverse(X_56),X_97)
| divide(inverse(X_97),X_56) != inverse(multiply(X_56,X_97))
| inverse(multiply(X_56,X_97)) = divide(inverse(X_56),X_97) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_97),X_56),divide(inverse(X_56),X_97)) ),[0],$fot(inverse(multiply(X_56,X_97)))]]) ).
cnf(refute_0_385,plain,
( divide(inverse(X_97),X_56) != divide(inverse(X_56),X_97)
| inverse(multiply(X_56,X_97)) = divide(inverse(X_56),X_97) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_97),X_56),inverse(multiply(X_56,X_97))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
divide(inverse(X_56),X_97) = inverse(multiply(X_97,X_56)),
inference(subst,[],[refute_0_382:[bind(Y,$fot(X_56)),bind(X_63,$fot(X_97))]]) ).
cnf(refute_0_387,plain,
( divide(inverse(X_56),X_97) != inverse(multiply(X_97,X_56))
| inverse(multiply(X_56,X_97)) != divide(inverse(X_56),X_97)
| inverse(multiply(X_56,X_97)) = inverse(multiply(X_97,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_56,X_97)),divide(inverse(X_56),X_97)) ),[1],$fot(inverse(multiply(X_97,X_56)))]]) ).
cnf(refute_0_388,plain,
( inverse(multiply(X_56,X_97)) != divide(inverse(X_56),X_97)
| inverse(multiply(X_56,X_97)) = inverse(multiply(X_97,X_56)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_56),X_97),inverse(multiply(X_97,X_56))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( divide(inverse(X_97),X_56) != divide(inverse(X_56),X_97)
| inverse(multiply(X_56,X_97)) = inverse(multiply(X_97,X_56)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_56,X_97)),divide(inverse(X_56),X_97)) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
inverse(multiply(X_56,X_97)) = inverse(multiply(X_97,X_56)),
inference(resolve,[$cnf( $equal(divide(inverse(X_97),X_56),divide(inverse(X_56),X_97)) )],[refute_0_375,refute_0_389]) ).
cnf(refute_0_391,plain,
inverse(multiply(X_98,X_99)) = inverse(multiply(X_99,X_98)),
inference(subst,[],[refute_0_390:[bind(X_56,$fot(X_98)),bind(X_97,$fot(X_99))]]) ).
cnf(refute_0_392,plain,
( multiply(X,multiply(X_98,X_99)) != divide(X,inverse(multiply(X_98,X_99)))
| inverse(multiply(X_98,X_99)) != inverse(multiply(X_99,X_98))
| multiply(X,multiply(X_98,X_99)) = divide(X,inverse(multiply(X_99,X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_98,X_99)),divide(X,inverse(multiply(X_98,X_99)))) ),[1,1],$fot(inverse(multiply(X_99,X_98)))]]) ).
cnf(refute_0_393,plain,
( multiply(X,multiply(X_98,X_99)) != divide(X,inverse(multiply(X_98,X_99)))
| multiply(X,multiply(X_98,X_99)) = divide(X,inverse(multiply(X_99,X_98))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_98,X_99)),inverse(multiply(X_99,X_98))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(X,multiply(X_98,X_99)) = divide(X,inverse(multiply(X_99,X_98))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_98,X_99)),divide(X,inverse(multiply(X_98,X_99)))) )],[refute_0_370,refute_0_393]) ).
cnf(refute_0_395,plain,
divide(X,inverse(multiply(X_99,X_98))) = multiply(X,multiply(X_99,X_98)),
inference(subst,[],[refute_0_22:[bind(Y,$fot(multiply(X_99,X_98)))]]) ).
cnf(refute_0_396,plain,
( multiply(X,multiply(X_98,X_99)) != divide(X,inverse(multiply(X_99,X_98)))
| divide(X,inverse(multiply(X_99,X_98))) != multiply(X,multiply(X_99,X_98))
| multiply(X,multiply(X_98,X_99)) = multiply(X,multiply(X_99,X_98)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(X_98,X_99)),multiply(X,multiply(X_99,X_98))) ),[0],$fot(divide(X,inverse(multiply(X_99,X_98))))]]) ).
cnf(refute_0_397,plain,
( multiply(X,multiply(X_98,X_99)) != divide(X,inverse(multiply(X_99,X_98)))
| multiply(X,multiply(X_98,X_99)) = multiply(X,multiply(X_99,X_98)) ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(X_99,X_98))),multiply(X,multiply(X_99,X_98))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(X,multiply(X_98,X_99)) = multiply(X,multiply(X_99,X_98)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_98,X_99)),divide(X,inverse(multiply(X_99,X_98)))) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
( multiply(X,multiply(X_98,X_99)) != multiply(X,multiply(X_99,X_98))
| multiply(X,multiply(X_99,X_98)) = multiply(X,multiply(X_98,X_99)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,multiply(X_98,X_99)))),bind(Y0,$fot(multiply(X,multiply(X_99,X_98))))]]) ).
cnf(refute_0_400,plain,
multiply(X,multiply(X_99,X_98)) = multiply(X,multiply(X_98,X_99)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_98,X_99)),multiply(X,multiply(X_99,X_98))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(inverse(b2),multiply(b2,a2)) = multiply(inverse(b2),multiply(a2,b2)),
inference(subst,[],[refute_0_400:[bind(X,$fot(inverse(b2))),bind(X_98,$fot(a2)),bind(X_99,$fot(b2))]]) ).
cnf(refute_0_402,plain,
( multiply(inverse(b2),multiply(a2,b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(b2),multiply(b2,a2)) != multiply(inverse(b2),multiply(a2,b2))
| multiply(inverse(b2),multiply(b2,a2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(inverse(b2),multiply(b2,a2)))),bind(Y0,$fot(multiply(inverse(b2),multiply(a2,b2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_403,plain,
( multiply(inverse(b2),multiply(a2,b2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(b2),multiply(b2,a2)) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(b2,a2)),multiply(inverse(b2),multiply(a2,b2))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
multiply(inverse(b2),multiply(b2,a2)) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(a2,b2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_369,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(X_80,multiply(X_82,divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)))) = multiply(multiply(X_80,X_82),Z),
inference(subst,[],[refute_0_361:[bind(X,$fot(X_80)),bind(Z,$fot(multiply(multiply(X_80,X_82),Z))),bind(X_18,$fot(X_82))]]) ).
cnf(refute_0_406,plain,
divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)) = Z,
inference(subst,[],[refute_0_194:[bind(X_56,$fot(multiply(X_80,X_82)))]]) ).
cnf(refute_0_407,plain,
( multiply(X_80,multiply(X_82,divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)))) != multiply(multiply(X_80,X_82),Z)
| divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)) != Z
| multiply(X_80,multiply(X_82,Z)) = multiply(multiply(X_80,X_82),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(X_82,divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)))),multiply(multiply(X_80,X_82),Z)) ),[0,1,1],$fot(Z)]]) ).
cnf(refute_0_408,plain,
( multiply(X_80,multiply(X_82,divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)))) != multiply(multiply(X_80,X_82),Z)
| multiply(X_80,multiply(X_82,Z)) = multiply(multiply(X_80,X_82),Z) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)),Z) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(X_80,multiply(X_82,Z)) = multiply(multiply(X_80,X_82),Z),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_82,divide(multiply(multiply(X_80,X_82),Z),multiply(X_80,X_82)))),multiply(multiply(X_80,X_82),Z)) )],[refute_0_405,refute_0_408]) ).
cnf(refute_0_410,plain,
( multiply(X_80,multiply(X_82,Z)) != multiply(multiply(X_80,X_82),Z)
| multiply(multiply(X_80,X_82),Z) = multiply(X_80,multiply(X_82,Z)) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_80,multiply(X_82,Z)))),bind(Y0,$fot(multiply(multiply(X_80,X_82),Z)))]]) ).
cnf(refute_0_411,plain,
multiply(multiply(X_80,X_82),Z) = multiply(X_80,multiply(X_82,Z)),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_82,Z)),multiply(multiply(X_80,X_82),Z)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(b2),multiply(b2,a2)),
inference(subst,[],[refute_0_411:[bind(Z,$fot(a2)),bind(X_80,$fot(inverse(b2))),bind(X_82,$fot(b2))]]) ).
cnf(refute_0_413,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(inverse(b2),multiply(b2,a2))
| multiply(inverse(b2),multiply(b2,a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(inverse(b2),multiply(b2,a2)))),bind(Z0,$fot(multiply(a2,multiply(b2,inverse(b2)))))]]) ).
cnf(refute_0_414,plain,
( multiply(inverse(b2),multiply(b2,a2)) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(inverse(b2),multiply(b2,a2))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(a2,multiply(b2,inverse(b2))),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),multiply(b2,a2)),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_404,refute_0_414]) ).
cnf(refute_0_416,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(a2,multiply(b2,inverse(b2)))
| multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(a2,multiply(b2,inverse(b2))))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_417,plain,
( multiply(a2,multiply(b2,inverse(b2))) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(a2,multiply(b2,inverse(b2)))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,multiply(b2,inverse(b2))),a2) )],[refute_0_338,refute_0_417]) ).
cnf(refute_0_419,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_420,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_420,refute_0_295]) ).
cnf(refute_0_422,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_411:[bind(Z,$fot(c3)),bind(X_80,$fot(a3)),bind(X_82,$fot(b3))]]) ).
cnf(refute_0_423,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_424,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_424,refute_0_421]) ).
cnf(refute_0_426,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_427,plain,
( multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_426,refute_0_425]) ).
cnf(refute_0_428,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_429,plain,
( divide(a1,a1) != divide(b1,b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_428,refute_0_427]) ).
cnf(refute_0_430,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_431,plain,
divide(a1,a1) != divide(b1,b1),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_430,refute_0_429]) ).
cnf(refute_0_432,plain,
( divide(X_4,X_4) != divide(Z,Z)
| divide(Z,Z) = divide(X_4,X_4) ),
inference(subst,[],[refute_0_5:[bind(X0,$fot(divide(X_4,X_4))),bind(Y0,$fot(divide(Z,Z)))]]) ).
cnf(refute_0_433,plain,
divide(Z,Z) = divide(X_4,X_4),
inference(resolve,[$cnf( $equal(divide(X_4,X_4),divide(Z,Z)) )],[refute_0_54,refute_0_432]) ).
cnf(refute_0_434,plain,
divide(a1,a1) = divide(b1,b1),
inference(subst,[],[refute_0_433:[bind(Z,$fot(a1)),bind(X_4,$fot(b1))]]) ).
cnf(refute_0_435,plain,
$false,
inference(resolve,[$cnf( $equal(divide(a1,a1),divide(b1,b1)) )],[refute_0_434,refute_0_431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP088-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 03:53:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.40/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.62
% 0.40/0.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.51/0.68
%------------------------------------------------------------------------------