TSTP Solution File: GRP063-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP063-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.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 10:34:12 EDT 2022
% Result : Unsatisfiable 1.12s 1.32s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 138
% Syntax : Number of clauses : 518 ( 272 unt; 0 nHn; 225 RR)
% Number of literals : 876 ( 875 equ; 363 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 1142 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = Y ).
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)) ) ).
cnf(refute_0_0,plain,
inverse(inverse(X_5)) = divide(divide(Z,Z),inverse(X_5)),
inference(subst,[],[inverse:[bind(X,$fot(inverse(X_5)))]]) ).
cnf(refute_0_1,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_2,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_3,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( inverse(X) != divide(divide(Z,Z),X)
| divide(divide(Z,Z),X) = inverse(X) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(divide(Z,Z),X)))]]) ).
cnf(refute_0_5,plain,
divide(divide(Z,Z),X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(Z,Z),X)) )],[inverse,refute_0_4]) ).
cnf(refute_0_6,plain,
divide(divide(Z,Z),Y) = inverse(Y),
inference(subst,[],[refute_0_5:[bind(X,$fot(Y))]]) ).
cnf(refute_0_7,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,divide(divide(Z,Z),Y)),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_8,plain,
( divide(X,divide(divide(Z,Z),Y)) != divide(X,divide(divide(Z,Z),Y))
| divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_9,plain,
( divide(divide(Z,Z),Y) != inverse(Y)
| divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,divide(divide(Z,Z),Y))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(X,divide(divide(Z,Z),Y)) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),Y),inverse(Y)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| divide(X,divide(divide(Z,Z),Y)) != divide(X,inverse(Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),divide(X,inverse(Y))) ),[0],$fot(divide(X,divide(divide(Z,Z),Y)))]]) ).
cnf(refute_0_12,plain,
( multiply(X,Y) != divide(X,divide(divide(Z,Z),Y))
| multiply(X,Y) = divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(Z,Z),Y)),divide(X,inverse(Y))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,divide(divide(Z,Z),Y))) )],[multiply,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(divide(Z,Z),X_5) = divide(divide(Z,Z),inverse(X_5)),
inference(subst,[],[refute_0_13:[bind(X,$fot(divide(Z,Z))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_15,plain,
( multiply(divide(Z,Z),X_5) != divide(divide(Z,Z),inverse(X_5))
| divide(divide(Z,Z),inverse(X_5)) = multiply(divide(Z,Z),X_5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(divide(Z,Z),X_5))),bind(Y0,$fot(divide(divide(Z,Z),inverse(X_5))))]]) ).
cnf(refute_0_16,plain,
divide(divide(Z,Z),inverse(X_5)) = multiply(divide(Z,Z),X_5),
inference(resolve,[$cnf( $equal(multiply(divide(Z,Z),X_5),divide(divide(Z,Z),inverse(X_5))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( divide(divide(Z,Z),inverse(X_5)) != multiply(divide(Z,Z),X_5)
| inverse(inverse(X_5)) != divide(divide(Z,Z),inverse(X_5))
| inverse(inverse(X_5)) = multiply(divide(Z,Z),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_5)),divide(divide(Z,Z),inverse(X_5))) ),[1],$fot(multiply(divide(Z,Z),X_5))]]) ).
cnf(refute_0_18,plain,
( inverse(inverse(X_5)) != divide(divide(Z,Z),inverse(X_5))
| inverse(inverse(X_5)) = multiply(divide(Z,Z),X_5) ),
inference(resolve,[$cnf( $equal(divide(divide(Z,Z),inverse(X_5)),multiply(divide(Z,Z),X_5)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(inverse(X_5)) = multiply(divide(Z,Z),X_5),
inference(resolve,[$cnf( $equal(inverse(inverse(X_5)),divide(divide(Z,Z),inverse(X_5))) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
inverse(inverse(X_7)) = multiply(divide(inverse(Y),inverse(Y)),X_7),
inference(subst,[],[refute_0_19:[bind(Z,$fot(inverse(Y))),bind(X_5,$fot(X_7))]]) ).
cnf(refute_0_21,plain,
multiply(inverse(Y),Y) = divide(inverse(Y),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_22,plain,
( multiply(inverse(Y),Y) != divide(inverse(Y),inverse(Y))
| divide(inverse(Y),inverse(Y)) = multiply(inverse(Y),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(Y),Y))),bind(Y0,$fot(divide(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_23,plain,
divide(inverse(Y),inverse(Y)) = multiply(inverse(Y),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),divide(inverse(Y),inverse(Y))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( divide(inverse(Y),inverse(Y)) != multiply(inverse(Y),Y)
| inverse(inverse(X_7)) != multiply(divide(inverse(Y),inverse(Y)),X_7)
| inverse(inverse(X_7)) = multiply(multiply(inverse(Y),Y),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_7)),multiply(divide(inverse(Y),inverse(Y)),X_7)) ),[1,0],$fot(multiply(inverse(Y),Y))]]) ).
cnf(refute_0_25,plain,
( inverse(inverse(X_7)) != multiply(divide(inverse(Y),inverse(Y)),X_7)
| inverse(inverse(X_7)) = multiply(multiply(inverse(Y),Y),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),inverse(Y)),multiply(inverse(Y),Y)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
inverse(inverse(X_7)) = multiply(multiply(inverse(Y),Y),X_7),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),multiply(divide(inverse(Y),inverse(Y)),X_7)) )],[refute_0_20,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(divide(X,X),X) = inverse(X),
inference(subst,[],[refute_0_5:[bind(Z,$fot(X))]]) ).
cnf(refute_0_28,plain,
divide(divide(divide(X,X),X),Z) = divide(divide(divide(X,X),X),Z),
introduced(tautology,[refl,[$fot(divide(divide(divide(X,X),X),Z))]]) ).
cnf(refute_0_29,plain,
( divide(divide(X,X),X) != inverse(X)
| divide(divide(divide(X,X),X),Z) != divide(divide(divide(X,X),X),Z)
| divide(divide(divide(X,X),X),Z) = divide(inverse(X),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,X),X),Z),divide(divide(divide(X,X),X),Z)) ),[1,0],$fot(inverse(X))]]) ).
cnf(refute_0_30,plain,
( divide(divide(X,X),X) != inverse(X)
| divide(divide(divide(X,X),X),Z) = divide(inverse(X),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),X),Z),divide(divide(divide(X,X),X),Z)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(divide(divide(X,X),X),Z) = divide(inverse(X),Z),
inference(resolve,[$cnf( $equal(divide(divide(X,X),X),inverse(X)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)))]]) ).
cnf(refute_0_33,plain,
( divide(divide(divide(X,X),X),Z) != divide(inverse(X),Z)
| divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z))
| divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(inverse(X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z))) ),[1,1],$fot(divide(inverse(X),Z))]]) ).
cnf(refute_0_34,plain,
( divide(divide(divide(X,X),X),Z) != divide(inverse(X),Z)
| divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(inverse(X),Z)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),X),Z),divide(inverse(X),Z)) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(divide(X,X),Y) = inverse(Y),
inference(subst,[],[refute_0_5:[bind(X,$fot(Y)),bind(Z,$fot(X))]]) ).
cnf(refute_0_37,plain,
divide(divide(divide(X,X),Y),Z) = divide(divide(divide(X,X),Y),Z),
introduced(tautology,[refl,[$fot(divide(divide(divide(X,X),Y),Z))]]) ).
cnf(refute_0_38,plain,
( divide(divide(X,X),Y) != inverse(Y)
| divide(divide(divide(X,X),Y),Z) != divide(divide(divide(X,X),Y),Z)
| divide(divide(divide(X,X),Y),Z) = divide(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),Y),Z)) ),[1,0],$fot(inverse(Y))]]) ).
cnf(refute_0_39,plain,
( divide(divide(X,X),Y) != inverse(Y)
| divide(divide(divide(X,X),Y),Z) = divide(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),Y),Z)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(divide(divide(X,X),Y),Z) = divide(inverse(Y),Z),
inference(resolve,[$cnf( $equal(divide(divide(X,X),Y),inverse(Y)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)))]]) ).
cnf(refute_0_42,plain,
( divide(divide(divide(X,X),Y),Z) != divide(inverse(Y),Z)
| divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))
| divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) ),[1,0],$fot(divide(inverse(Y),Z))]]) ).
cnf(refute_0_43,plain,
( divide(divide(divide(X,X),Y),Z) != divide(inverse(Y),Z)
| divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)),
inference(resolve,[$cnf( $equal(divide(divide(divide(X,X),Y),Z),divide(inverse(Y),Z)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_46,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_45]) ).
cnf(refute_0_47,plain,
( divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z))
| divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(inverse(Y),Z),divide(inverse(X),Z))
| divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(inverse(X),Z)) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)))),bind(Y0,$fot(divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)))),bind(Z0,$fot(divide(divide(inverse(Y),Z),divide(inverse(X),Z))))]]) ).
cnf(refute_0_48,plain,
( divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(inverse(Y),Z),divide(inverse(X),Z))
| divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(inverse(X),Z)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) = divide(divide(inverse(Y),Z),divide(inverse(X),Z)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(inverse(Y),Z),divide(inverse(X),Z))) )],[refute_0_35,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))),
introduced(tautology,[refl,[$fot(divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))))]]) ).
cnf(refute_0_51,plain,
( divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) != divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)))
| divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(inverse(Y),Z),divide(inverse(X),Z))
| divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))),divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)))) ),[1,1],$fot(divide(divide(inverse(Y),Z),divide(inverse(X),Z)))]]) ).
cnf(refute_0_52,plain,
( divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)) != divide(divide(inverse(Y),Z),divide(inverse(X),Z))
| divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))) ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))),divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) = divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z)),divide(divide(inverse(Y),Z),divide(inverse(X),Z))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) != Y
| divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) != divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z)))
| divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))),Y) ),[0],$fot(divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))))]]) ).
cnf(refute_0_55,plain,
( divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))) != Y
| divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))) = Y ),
inference(resolve,[$cnf( $equal(divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))),divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z)))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
divide(X,divide(divide(inverse(Y),Z),divide(inverse(X),Z))) = Y,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(divide(divide(X,X),Y),Z),divide(divide(divide(X,X),X),Z))),Y) )],[single_axiom,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(X_24,divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))) = X_25,
inference(subst,[],[refute_0_56:[bind(X,$fot(X_24)),bind(Y,$fot(X_25)),bind(Z,$fot(inverse(X_25)))]]) ).
cnf(refute_0_58,plain,
inverse(divide(inverse(X_24),inverse(X_25))) = divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25))),
inference(subst,[],[inverse:[bind(X,$fot(divide(inverse(X_24),inverse(X_25)))),bind(Z,$fot(inverse(X_25)))]]) ).
cnf(refute_0_59,plain,
( inverse(divide(inverse(X_24),inverse(X_25))) != divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))
| divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25))) = inverse(divide(inverse(X_24),inverse(X_25))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(divide(inverse(X_24),inverse(X_25))))),bind(Y0,$fot(divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))))]]) ).
cnf(refute_0_60,plain,
divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25))) = inverse(divide(inverse(X_24),inverse(X_25))),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_24),inverse(X_25))),divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))) != X_25
| divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25))) != inverse(divide(inverse(X_24),inverse(X_25)))
| divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))),X_25) ),[0,1],$fot(inverse(divide(inverse(X_24),inverse(X_25))))]]) ).
cnf(refute_0_62,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))) != X_25
| divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = X_25 ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25))),inverse(divide(inverse(X_24),inverse(X_25)))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = X_25,
inference(resolve,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(X_25)),divide(inverse(X_24),inverse(X_25)))),X_25) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_65,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[refute_0_13,refute_0_64]) ).
cnf(refute_0_66,plain,
divide(inverse(X_24),inverse(X_25)) = multiply(inverse(X_24),X_25),
inference(subst,[],[refute_0_65:[bind(X,$fot(inverse(X_24))),bind(Y,$fot(X_25))]]) ).
cnf(refute_0_67,plain,
multiply(X_24,divide(inverse(X_24),inverse(X_25))) = multiply(X_24,divide(inverse(X_24),inverse(X_25))),
introduced(tautology,[refl,[$fot(multiply(X_24,divide(inverse(X_24),inverse(X_25))))]]) ).
cnf(refute_0_68,plain,
( multiply(X_24,divide(inverse(X_24),inverse(X_25))) != multiply(X_24,divide(inverse(X_24),inverse(X_25)))
| divide(inverse(X_24),inverse(X_25)) != multiply(inverse(X_24),X_25)
| multiply(X_24,divide(inverse(X_24),inverse(X_25))) = multiply(X_24,multiply(inverse(X_24),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,divide(inverse(X_24),inverse(X_25))),multiply(X_24,divide(inverse(X_24),inverse(X_25)))) ),[1,1],$fot(multiply(inverse(X_24),X_25))]]) ).
cnf(refute_0_69,plain,
( divide(inverse(X_24),inverse(X_25)) != multiply(inverse(X_24),X_25)
| multiply(X_24,divide(inverse(X_24),inverse(X_25))) = multiply(X_24,multiply(inverse(X_24),X_25)) ),
inference(resolve,[$cnf( $equal(multiply(X_24,divide(inverse(X_24),inverse(X_25))),multiply(X_24,divide(inverse(X_24),inverse(X_25)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(X_24,divide(inverse(X_24),inverse(X_25))) = multiply(X_24,multiply(inverse(X_24),X_25)),
inference(resolve,[$cnf( $equal(divide(inverse(X_24),inverse(X_25)),multiply(inverse(X_24),X_25)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = multiply(X_24,divide(inverse(X_24),inverse(X_25))),
inference(subst,[],[refute_0_65:[bind(X,$fot(X_24)),bind(Y,$fot(divide(inverse(X_24),inverse(X_25))))]]) ).
cnf(refute_0_72,plain,
( multiply(X_24,divide(inverse(X_24),inverse(X_25))) != multiply(X_24,multiply(inverse(X_24),X_25))
| divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) != multiply(X_24,divide(inverse(X_24),inverse(X_25)))
| divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = multiply(X_24,multiply(inverse(X_24),X_25)) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))))),bind(Y0,$fot(multiply(X_24,divide(inverse(X_24),inverse(X_25))))),bind(Z0,$fot(multiply(X_24,multiply(inverse(X_24),X_25))))]]) ).
cnf(refute_0_73,plain,
( multiply(X_24,divide(inverse(X_24),inverse(X_25))) != multiply(X_24,multiply(inverse(X_24),X_25))
| divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = multiply(X_24,multiply(inverse(X_24),X_25)) ),
inference(resolve,[$cnf( $equal(divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))),multiply(X_24,divide(inverse(X_24),inverse(X_25)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) = multiply(X_24,multiply(inverse(X_24),X_25)),
inference(resolve,[$cnf( $equal(multiply(X_24,divide(inverse(X_24),inverse(X_25))),multiply(X_24,multiply(inverse(X_24),X_25))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) != X_25
| divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) != multiply(X_24,multiply(inverse(X_24),X_25))
| multiply(X_24,multiply(inverse(X_24),X_25)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))),X_25) ),[0],$fot(multiply(X_24,multiply(inverse(X_24),X_25)))]]) ).
cnf(refute_0_76,plain,
( divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))) != X_25
| multiply(X_24,multiply(inverse(X_24),X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))),multiply(X_24,multiply(inverse(X_24),X_25))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(X_24,multiply(inverse(X_24),X_25)) = X_25,
inference(resolve,[$cnf( $equal(divide(X_24,inverse(divide(inverse(X_24),inverse(X_25)))),X_25) )],[refute_0_63,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(X_24,multiply(inverse(X_24),inverse(inverse(X_24)))) = inverse(inverse(X_24)),
inference(subst,[],[refute_0_77:[bind(X_25,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_79,plain,
divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = Y,
inference(subst,[],[refute_0_56:[bind(X,$fot(inverse(inverse(inverse(divide(X_32,X_32))))))]]) ).
cnf(refute_0_80,plain,
inverse(X) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X),
inference(subst,[],[inverse:[bind(Z,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_81,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_82,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_3:[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_83,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(X) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)
| inverse(X) = divide(inverse(divide(X_1,X_1)),X) ),
introduced(tautology,[equality,[$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_85,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( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
inverse(X) = divide(inverse(divide(X_1,X_1)),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),X)) )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
inverse(X) = divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X),
inference(subst,[],[refute_0_86:[bind(X_1,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_88,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_86:[bind(X,$fot(inverse(divide(X_3,X_3)))),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_89,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_3:[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_90,plain,
divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_3,X_3))),divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(X) != divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)
| inverse(X) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)) ),[1,0,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_92,plain,
( inverse(X) != divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)
| inverse(X) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
inverse(X) = divide(inverse(inverse(inverse(divide(X_3,X_3)))),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))),X)) )],[refute_0_87,refute_0_92]) ).
cnf(refute_0_94,plain,
inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),
inference(subst,[],[refute_0_93:[bind(X,$fot(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))),bind(X_3,$fot(X_32))]]) ).
cnf(refute_0_95,plain,
( inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))
| divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))))),bind(Y0,$fot(divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))))]]) ).
cnf(refute_0_96,plain,
divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != Y
| divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))
| inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),Y) ),[0],$fot(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))))]]) ).
cnf(refute_0_98,plain,
( divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != Y
| inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = Y ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = Y,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(divide(X_32,X_32)))),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),Y) )],[refute_0_79,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(divide(inverse(Y),Z),inverse(Z)) = multiply(divide(inverse(Y),Z),Z),
inference(subst,[],[refute_0_65:[bind(X,$fot(divide(inverse(Y),Z))),bind(Y,$fot(Z))]]) ).
cnf(refute_0_101,plain,
divide(divide(X_32,X_32),Z) = inverse(Z),
inference(subst,[],[refute_0_5:[bind(X,$fot(Z)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_102,plain,
inverse(X) = divide(divide(inverse(X_5),inverse(X_5)),X),
inference(subst,[],[inverse:[bind(Z,$fot(inverse(X_5)))]]) ).
cnf(refute_0_103,plain,
multiply(inverse(X_5),X_5) = divide(inverse(X_5),inverse(X_5)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(X_5))),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_104,plain,
( multiply(inverse(X_5),X_5) != divide(inverse(X_5),inverse(X_5))
| divide(inverse(X_5),inverse(X_5)) = multiply(inverse(X_5),X_5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_5),X_5))),bind(Y0,$fot(divide(inverse(X_5),inverse(X_5))))]]) ).
cnf(refute_0_105,plain,
divide(inverse(X_5),inverse(X_5)) = multiply(inverse(X_5),X_5),
inference(resolve,[$cnf( $equal(multiply(inverse(X_5),X_5),divide(inverse(X_5),inverse(X_5))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( divide(inverse(X_5),inverse(X_5)) != multiply(inverse(X_5),X_5)
| inverse(X) != divide(divide(inverse(X_5),inverse(X_5)),X)
| inverse(X) = divide(multiply(inverse(X_5),X_5),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(divide(inverse(X_5),inverse(X_5)),X)) ),[1,0],$fot(multiply(inverse(X_5),X_5))]]) ).
cnf(refute_0_107,plain,
( inverse(X) != divide(divide(inverse(X_5),inverse(X_5)),X)
| inverse(X) = divide(multiply(inverse(X_5),X_5),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_5),inverse(X_5)),multiply(inverse(X_5),X_5)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
inverse(X) = divide(multiply(inverse(X_5),X_5),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(inverse(X_5),inverse(X_5)),X)) )],[refute_0_102,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),
inference(subst,[],[refute_0_108:[bind(X,$fot(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))))]]) ).
cnf(refute_0_110,plain,
divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = X_25,
inference(subst,[],[refute_0_56:[bind(X,$fot(multiply(inverse(X_5),X_5))),bind(Y,$fot(X_25)),bind(Z,$fot(X_26))]]) ).
cnf(refute_0_111,plain,
( divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != X_25
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))) ),[1],$fot(X_25)]]) ).
cnf(refute_0_112,plain,
( inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = X_25 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),X_25) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = X_25,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),divide(multiply(inverse(X_5),X_5),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
divide(divide(inverse(X_25),X_26),inverse(X_26)) = multiply(divide(inverse(X_25),X_26),X_26),
inference(subst,[],[refute_0_65:[bind(X,$fot(divide(inverse(X_25),X_26))),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_115,plain,
inverse(X) = divide(inverse(divide(inverse(X_5),inverse(X_5))),X),
inference(subst,[],[refute_0_86:[bind(X_1,$fot(inverse(X_5)))]]) ).
cnf(refute_0_116,plain,
( divide(inverse(X_5),inverse(X_5)) != multiply(inverse(X_5),X_5)
| inverse(X) != divide(inverse(divide(inverse(X_5),inverse(X_5))),X)
| inverse(X) = divide(inverse(multiply(inverse(X_5),X_5)),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(X_5),inverse(X_5))),X)) ),[1,0,0],$fot(multiply(inverse(X_5),X_5))]]) ).
cnf(refute_0_117,plain,
( inverse(X) != divide(inverse(divide(inverse(X_5),inverse(X_5))),X)
| inverse(X) = divide(inverse(multiply(inverse(X_5),X_5)),X) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_5),inverse(X_5)),multiply(inverse(X_5),X_5)) )],[refute_0_105,refute_0_116]) ).
cnf(refute_0_118,plain,
inverse(X) = divide(inverse(multiply(inverse(X_5),X_5)),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(inverse(divide(inverse(X_5),inverse(X_5))),X)) )],[refute_0_115,refute_0_117]) ).
cnf(refute_0_119,plain,
( inverse(X) != divide(inverse(multiply(inverse(X_5),X_5)),X)
| divide(inverse(multiply(inverse(X_5),X_5)),X) = inverse(X) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(divide(inverse(multiply(inverse(X_5),X_5)),X)))]]) ).
cnf(refute_0_120,plain,
divide(inverse(multiply(inverse(X_5),X_5)),X) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),divide(inverse(multiply(inverse(X_5),X_5)),X)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(inverse(multiply(inverse(X_5),X_5)),X_26) = inverse(X_26),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_26))]]) ).
cnf(refute_0_122,plain,
divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))]]) ).
cnf(refute_0_123,plain,
( divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) != divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))
| divide(inverse(multiply(inverse(X_5),X_5)),X_26) != inverse(X_26)
| divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = divide(divide(inverse(X_25),X_26),inverse(X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) ),[1,1],$fot(inverse(X_26))]]) ).
cnf(refute_0_124,plain,
( divide(inverse(multiply(inverse(X_5),X_5)),X_26) != inverse(X_26)
| divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = divide(divide(inverse(X_25),X_26),inverse(X_26)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)),divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = divide(divide(inverse(X_25),X_26),inverse(X_26)),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_5),X_5)),X_26),inverse(X_26)) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) != divide(divide(inverse(X_25),X_26),inverse(X_26))
| divide(divide(inverse(X_25),X_26),inverse(X_26)) != multiply(divide(inverse(X_25),X_26),X_26)
| divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = multiply(divide(inverse(X_25),X_26),X_26) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))),bind(Y0,$fot(divide(divide(inverse(X_25),X_26),inverse(X_26)))),bind(Z0,$fot(multiply(divide(inverse(X_25),X_26),X_26)))]]) ).
cnf(refute_0_127,plain,
( divide(divide(inverse(X_25),X_26),inverse(X_26)) != multiply(divide(inverse(X_25),X_26),X_26)
| divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = multiply(divide(inverse(X_25),X_26),X_26) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)),divide(divide(inverse(X_25),X_26),inverse(X_26))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) = multiply(divide(inverse(X_25),X_26),X_26),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),X_26),inverse(X_26)),multiply(divide(inverse(X_25),X_26),X_26)) )],[refute_0_114,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))))]]) ).
cnf(refute_0_130,plain,
( divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) != multiply(divide(inverse(X_25),X_26),X_26)
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = inverse(multiply(divide(inverse(X_25),X_26),X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))) ),[1,0],$fot(multiply(divide(inverse(X_25),X_26),X_26))]]) ).
cnf(refute_0_131,plain,
( divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)) != multiply(divide(inverse(X_25),X_26),X_26)
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = inverse(multiply(divide(inverse(X_25),X_26),X_26)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) = inverse(multiply(divide(inverse(X_25),X_26),X_26)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26)),multiply(divide(inverse(X_25),X_26),X_26)) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != X_25
| inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != inverse(multiply(divide(inverse(X_25),X_26),X_26))
| inverse(multiply(divide(inverse(X_25),X_26),X_26)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),X_25) ),[0],$fot(inverse(multiply(divide(inverse(X_25),X_26),X_26)))]]) ).
cnf(refute_0_134,plain,
( inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))) != X_25
| inverse(multiply(divide(inverse(X_25),X_26),X_26)) = X_25 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),inverse(multiply(divide(inverse(X_25),X_26),X_26))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
inverse(multiply(divide(inverse(X_25),X_26),X_26)) = X_25,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_25),X_26),divide(inverse(multiply(inverse(X_5),X_5)),X_26))),X_25) )],[refute_0_113,refute_0_134]) ).
cnf(refute_0_136,plain,
inverse(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))) = X_27,
inference(subst,[],[refute_0_135:[bind(X_25,$fot(X_27)),bind(X_26,$fot(inverse(X_27)))]]) ).
cnf(refute_0_137,plain,
inverse(inverse(inverse(X_27))) = multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27)),
inference(subst,[],[refute_0_19:[bind(Z,$fot(inverse(X_27))),bind(X_5,$fot(inverse(X_27)))]]) ).
cnf(refute_0_138,plain,
( inverse(inverse(inverse(X_27))) != multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))
| multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27)) = inverse(inverse(inverse(X_27))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(inverse(inverse(X_27))))),bind(Y0,$fot(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))))]]) ).
cnf(refute_0_139,plain,
multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27)) = inverse(inverse(inverse(X_27))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_27))),multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
( multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27)) != inverse(inverse(inverse(X_27)))
| inverse(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))) != X_27
| inverse(inverse(inverse(inverse(X_27)))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))),X_27) ),[0,0],$fot(inverse(inverse(inverse(X_27))))]]) ).
cnf(refute_0_141,plain,
( inverse(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))) != X_27
| inverse(inverse(inverse(inverse(X_27)))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27)),inverse(inverse(inverse(X_27)))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
inverse(inverse(inverse(inverse(X_27)))) = X_27,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_27),inverse(X_27)),inverse(X_27))),X_27) )],[refute_0_136,refute_0_141]) ).
cnf(refute_0_143,plain,
inverse(inverse(inverse(inverse(divide(X_32,X_32))))) = divide(X_32,X_32),
inference(subst,[],[refute_0_142:[bind(X_27,$fot(divide(X_32,X_32)))]]) ).
cnf(refute_0_144,plain,
divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))]]) ).
cnf(refute_0_145,plain,
( divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) != divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)
| inverse(inverse(inverse(inverse(divide(X_32,X_32))))) != divide(X_32,X_32)
| divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = divide(divide(X_32,X_32),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) ),[1,0],$fot(divide(X_32,X_32))]]) ).
cnf(refute_0_146,plain,
( inverse(inverse(inverse(inverse(divide(X_32,X_32))))) != divide(X_32,X_32)
| divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = divide(divide(X_32,X_32),Z) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = divide(divide(X_32,X_32),Z),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),divide(X_32,X_32)) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
( divide(divide(X_32,X_32),Z) != inverse(Z)
| divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) != divide(divide(X_32,X_32),Z)
| divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = inverse(Z) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),bind(Y0,$fot(divide(divide(X_32,X_32),Z))),bind(Z0,$fot(inverse(Z)))]]) ).
cnf(refute_0_149,plain,
( divide(divide(X_32,X_32),Z) != inverse(Z)
| divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = inverse(Z) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z),divide(divide(X_32,X_32),Z)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) = inverse(Z),
inference(resolve,[$cnf( $equal(divide(divide(X_32,X_32),Z),inverse(Z)) )],[refute_0_101,refute_0_149]) ).
cnf(refute_0_151,plain,
divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))]]) ).
cnf(refute_0_152,plain,
( divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) != divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))
| divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) != inverse(Z)
| divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = divide(divide(inverse(Y),Z),inverse(Z)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) ),[1,1],$fot(inverse(Z))]]) ).
cnf(refute_0_153,plain,
( divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z) != inverse(Z)
| divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = divide(divide(inverse(Y),Z),inverse(Z)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)),divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = divide(divide(inverse(Y),Z),inverse(Z)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z),inverse(Z)) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) != divide(divide(inverse(Y),Z),inverse(Z))
| divide(divide(inverse(Y),Z),inverse(Z)) != multiply(divide(inverse(Y),Z),Z)
| divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = multiply(divide(inverse(Y),Z),Z) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))),bind(Y0,$fot(divide(divide(inverse(Y),Z),inverse(Z)))),bind(Z0,$fot(multiply(divide(inverse(Y),Z),Z)))]]) ).
cnf(refute_0_156,plain,
( divide(divide(inverse(Y),Z),inverse(Z)) != multiply(divide(inverse(Y),Z),Z)
| divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = multiply(divide(inverse(Y),Z),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)),divide(divide(inverse(Y),Z),inverse(Z))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) = multiply(divide(inverse(Y),Z),Z),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),Z),inverse(Z)),multiply(divide(inverse(Y),Z),Z)) )],[refute_0_100,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))))]]) ).
cnf(refute_0_159,plain,
( divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) != multiply(divide(inverse(Y),Z),Z)
| inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))
| inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = inverse(multiply(divide(inverse(Y),Z),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))) ),[1,0],$fot(multiply(divide(inverse(Y),Z),Z))]]) ).
cnf(refute_0_160,plain,
( divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)) != multiply(divide(inverse(Y),Z),Z)
| inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = inverse(multiply(divide(inverse(Y),Z),Z)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) = inverse(multiply(divide(inverse(Y),Z),Z)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z)),multiply(divide(inverse(Y),Z),Z)) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
( inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != Y
| inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != inverse(multiply(divide(inverse(Y),Z),Z))
| inverse(multiply(divide(inverse(Y),Z),Z)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),Y) ),[0],$fot(inverse(multiply(divide(inverse(Y),Z),Z)))]]) ).
cnf(refute_0_163,plain,
( inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))) != Y
| inverse(multiply(divide(inverse(Y),Z),Z)) = Y ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),inverse(multiply(divide(inverse(Y),Z),Z))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(multiply(divide(inverse(Y),Z),Z)) = Y,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(Y),Z),divide(inverse(inverse(inverse(inverse(divide(X_32,X_32))))),Z))),Y) )],[refute_0_99,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(multiply(divide(inverse(divide(X_1,X_1)),X_34),X_34)) = divide(X_1,X_1),
inference(subst,[],[refute_0_164:[bind(Y,$fot(divide(X_1,X_1))),bind(Z,$fot(X_34))]]) ).
cnf(refute_0_166,plain,
inverse(X_34) = divide(inverse(divide(X_1,X_1)),X_34),
inference(subst,[],[refute_0_86:[bind(X,$fot(X_34))]]) ).
cnf(refute_0_167,plain,
( inverse(X_34) != divide(inverse(divide(X_1,X_1)),X_34)
| divide(inverse(divide(X_1,X_1)),X_34) = inverse(X_34) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_34))),bind(Y0,$fot(divide(inverse(divide(X_1,X_1)),X_34)))]]) ).
cnf(refute_0_168,plain,
divide(inverse(divide(X_1,X_1)),X_34) = inverse(X_34),
inference(resolve,[$cnf( $equal(inverse(X_34),divide(inverse(divide(X_1,X_1)),X_34)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( divide(inverse(divide(X_1,X_1)),X_34) != inverse(X_34)
| inverse(multiply(divide(inverse(divide(X_1,X_1)),X_34),X_34)) != divide(X_1,X_1)
| inverse(multiply(inverse(X_34),X_34)) = divide(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(divide(X_1,X_1)),X_34),X_34)),divide(X_1,X_1)) ),[0,0,0],$fot(inverse(X_34))]]) ).
cnf(refute_0_170,plain,
( inverse(multiply(divide(inverse(divide(X_1,X_1)),X_34),X_34)) != divide(X_1,X_1)
| inverse(multiply(inverse(X_34),X_34)) = divide(X_1,X_1) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),X_34),inverse(X_34)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(multiply(inverse(X_34),X_34)) = divide(X_1,X_1),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(divide(X_1,X_1)),X_34),X_34)),divide(X_1,X_1)) )],[refute_0_165,refute_0_170]) ).
cnf(refute_0_172,plain,
inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))) = divide(X_1,X_1),
inference(subst,[],[refute_0_171:[bind(X_34,$fot(multiply(inverse(X_43),X_43)))]]) ).
cnf(refute_0_173,plain,
inverse(multiply(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),X_34)) = inverse(inverse(multiply(inverse(X_13),X_13))),
inference(subst,[],[refute_0_164:[bind(Y,$fot(inverse(inverse(multiply(inverse(X_13),X_13))))),bind(Z,$fot(X_34))]]) ).
cnf(refute_0_174,plain,
inverse(X) = divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X),
inference(subst,[],[inverse:[bind(Z,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_175,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(X) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)
| inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X) ),
introduced(tautology,[equality,[$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_176,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( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_90,refute_0_175]) ).
cnf(refute_0_177,plain,
inverse(X) = divide(inverse(inverse(divide(X_3,X_3))),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),X)) )],[refute_0_174,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(X) = divide(inverse(inverse(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)))),X),
inference(subst,[],[refute_0_177:[bind(X_3,$fot(multiply(inverse(X_13),X_13)))]]) ).
cnf(refute_0_179,plain,
inverse(multiply(inverse(X_13),X_13)) = divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)),
inference(subst,[],[refute_0_108:[bind(X,$fot(multiply(inverse(X_13),X_13))),bind(X_5,$fot(X_13))]]) ).
cnf(refute_0_180,plain,
( inverse(multiply(inverse(X_13),X_13)) != divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13))
| divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)) = inverse(multiply(inverse(X_13),X_13)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(multiply(inverse(X_13),X_13)))),bind(Y0,$fot(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13))))]]) ).
cnf(refute_0_181,plain,
divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)) = inverse(multiply(inverse(X_13),X_13)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_13),X_13)),divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)) != inverse(multiply(inverse(X_13),X_13))
| inverse(X) != divide(inverse(inverse(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)))),X)
| inverse(X) = divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X),divide(inverse(inverse(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)))),X)) ),[1,0,0,0],$fot(inverse(multiply(inverse(X_13),X_13)))]]) ).
cnf(refute_0_183,plain,
( inverse(X) != divide(inverse(inverse(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)))),X)
| inverse(X) = divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)),inverse(multiply(inverse(X_13),X_13))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
inverse(X) = divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X),
inference(resolve,[$cnf( $equal(inverse(X),divide(inverse(inverse(divide(multiply(inverse(X_13),X_13),multiply(inverse(X_13),X_13)))),X)) )],[refute_0_178,refute_0_183]) ).
cnf(refute_0_185,plain,
inverse(X_34) = divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),
inference(subst,[],[refute_0_184:[bind(X,$fot(X_34))]]) ).
cnf(refute_0_186,plain,
( inverse(X_34) != divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34)
| divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34) = inverse(X_34) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_34))),bind(Y0,$fot(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34)))]]) ).
cnf(refute_0_187,plain,
divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34) = inverse(X_34),
inference(resolve,[$cnf( $equal(inverse(X_34),divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34) != inverse(X_34)
| inverse(multiply(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),X_34)) != inverse(inverse(multiply(inverse(X_13),X_13)))
| inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(X_13),X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),X_34)),inverse(inverse(multiply(inverse(X_13),X_13)))) ),[0,0,0],$fot(inverse(X_34))]]) ).
cnf(refute_0_189,plain,
( inverse(multiply(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),X_34)) != inverse(inverse(multiply(inverse(X_13),X_13)))
| inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(X_13),X_13))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),inverse(X_34)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(X_13),X_13))),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(inverse(inverse(multiply(inverse(X_13),X_13)))),X_34),X_34)),inverse(inverse(multiply(inverse(X_13),X_13)))) )],[refute_0_173,refute_0_189]) ).
cnf(refute_0_191,plain,
inverse(multiply(inverse(X_43),X_43)) = inverse(inverse(multiply(inverse(X_42),X_42))),
inference(subst,[],[refute_0_190:[bind(X_13,$fot(X_42)),bind(X_34,$fot(X_43))]]) ).
cnf(refute_0_192,plain,
( inverse(multiply(inverse(X_43),X_43)) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))) != divide(X_1,X_1)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = divide(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))),divide(X_1,X_1)) ),[0,0,0],$fot(inverse(inverse(multiply(inverse(X_42),X_42))))]]) ).
cnf(refute_0_193,plain,
( inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))) != divide(X_1,X_1)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = divide(X_1,X_1) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_43),X_43)),inverse(inverse(multiply(inverse(X_42),X_42)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = divide(X_1,X_1),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))),divide(X_1,X_1)) )],[refute_0_172,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43)))),
inference(subst,[],[refute_0_190:[bind(X_13,$fot(multiply(inverse(X_43),X_43)))]]) ).
cnf(refute_0_196,plain,
( inverse(multiply(inverse(X_34),X_34)) != inverse(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))))
| inverse(multiply(inverse(X_43),X_43)) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_34),X_34)),inverse(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))))) ),[1,0,0,0],$fot(inverse(inverse(multiply(inverse(X_42),X_42))))]]) ).
cnf(refute_0_197,plain,
( inverse(multiply(inverse(X_34),X_34)) != inverse(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))))
| inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_43),X_43)),inverse(inverse(multiply(inverse(X_42),X_42)))) )],[refute_0_191,refute_0_196]) ).
cnf(refute_0_198,plain,
inverse(multiply(inverse(X_34),X_34)) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_34),X_34)),inverse(inverse(multiply(inverse(multiply(inverse(X_43),X_43)),multiply(inverse(X_43),X_43))))) )],[refute_0_195,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))) = multiply(inverse(X_42),X_42),
inference(subst,[],[refute_0_142:[bind(X_27,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_200,plain,
divide(X,divide(divide(inverse(X),Z),divide(inverse(X),Z))) = X,
inference(subst,[],[refute_0_56:[bind(Y,$fot(X))]]) ).
cnf(refute_0_201,plain,
inverse(multiply(inverse(X_36),X_36)) = divide(divide(inverse(X),Z),divide(inverse(X),Z)),
inference(subst,[],[refute_0_171:[bind(X_1,$fot(divide(inverse(X),Z))),bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_202,plain,
( inverse(multiply(inverse(X_36),X_36)) != divide(divide(inverse(X),Z),divide(inverse(X),Z))
| divide(divide(inverse(X),Z),divide(inverse(X),Z)) = inverse(multiply(inverse(X_36),X_36)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(multiply(inverse(X_36),X_36)))),bind(Y0,$fot(divide(divide(inverse(X),Z),divide(inverse(X),Z))))]]) ).
cnf(refute_0_203,plain,
divide(divide(inverse(X),Z),divide(inverse(X),Z)) = inverse(multiply(inverse(X_36),X_36)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_36),X_36)),divide(divide(inverse(X),Z),divide(inverse(X),Z))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
( divide(X,divide(divide(inverse(X),Z),divide(inverse(X),Z))) != X
| divide(divide(inverse(X),Z),divide(inverse(X),Z)) != inverse(multiply(inverse(X_36),X_36))
| divide(X,inverse(multiply(inverse(X_36),X_36))) = X ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,divide(divide(inverse(X),Z),divide(inverse(X),Z))),X) ),[0,1],$fot(inverse(multiply(inverse(X_36),X_36)))]]) ).
cnf(refute_0_205,plain,
( divide(X,divide(divide(inverse(X),Z),divide(inverse(X),Z))) != X
| divide(X,inverse(multiply(inverse(X_36),X_36))) = X ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X),Z),divide(inverse(X),Z)),inverse(multiply(inverse(X_36),X_36))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(X,inverse(multiply(inverse(X_36),X_36))) = X,
inference(resolve,[$cnf( $equal(divide(X,divide(divide(inverse(X),Z),divide(inverse(X),Z))),X) )],[refute_0_200,refute_0_205]) ).
cnf(refute_0_207,plain,
divide(X,inverse(multiply(inverse(X_36),X_36))) = multiply(X,multiply(inverse(X_36),X_36)),
inference(subst,[],[refute_0_65:[bind(Y,$fot(multiply(inverse(X_36),X_36)))]]) ).
cnf(refute_0_208,plain,
( divide(X,inverse(multiply(inverse(X_36),X_36))) != X
| divide(X,inverse(multiply(inverse(X_36),X_36))) != multiply(X,multiply(inverse(X_36),X_36))
| multiply(X,multiply(inverse(X_36),X_36)) = X ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,inverse(multiply(inverse(X_36),X_36))),X) ),[0],$fot(multiply(X,multiply(inverse(X_36),X_36)))]]) ).
cnf(refute_0_209,plain,
( divide(X,inverse(multiply(inverse(X_36),X_36))) != X
| multiply(X,multiply(inverse(X_36),X_36)) = X ),
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(inverse(X_36),X_36))),multiply(X,multiply(inverse(X_36),X_36))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(X,multiply(inverse(X_36),X_36)) = X,
inference(resolve,[$cnf( $equal(divide(X,inverse(multiply(inverse(X_36),X_36))),X) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) = inverse(inverse(multiply(inverse(X_42),X_42))),
inference(subst,[],[refute_0_210:[bind(X,$fot(inverse(inverse(multiply(inverse(X_42),X_42))))),bind(X_36,$fot(X_43))]]) ).
cnf(refute_0_212,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))]]) ).
cnf(refute_0_213,plain,
( multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(inverse(inverse(multiply(inverse(X_42),X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) ),[1,0],$fot(inverse(inverse(multiply(inverse(X_42),X_42))))]]) ).
cnf(refute_0_214,plain,
( multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(inverse(inverse(multiply(inverse(X_42),X_42)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(inverse(inverse(multiply(inverse(X_42),X_42)))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)),inverse(inverse(multiply(inverse(X_42),X_42)))) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))))]]) ).
cnf(refute_0_217,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != inverse(inverse(inverse(multiply(inverse(X_42),X_42))))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) != inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))) ),[1,0],$fot(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))]]) ).
cnf(refute_0_218,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != inverse(inverse(inverse(multiply(inverse(X_42),X_42))))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),inverse(inverse(inverse(multiply(inverse(X_42),X_42))))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) != inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))
| inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))) != multiply(inverse(X_42),X_42)
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = multiply(inverse(X_42),X_42) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))))),bind(Y0,$fot(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))))),bind(Z0,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_221,plain,
( inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))) != multiply(inverse(X_42),X_42)
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = multiply(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42))))),multiply(inverse(X_42),X_42)) )],[refute_0_199,refute_0_221]) ).
cnf(refute_0_223,plain,
( inverse(multiply(inverse(X_34),X_34)) != inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) != multiply(inverse(X_42),X_42)
| inverse(multiply(inverse(X_34),X_34)) = multiply(inverse(X_42),X_42) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(inverse(X_34),X_34)),multiply(inverse(X_42),X_42)) ),[0],$fot(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))))]]) ).
cnf(refute_0_224,plain,
( inverse(multiply(inverse(X_34),X_34)) != inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))
| inverse(multiply(inverse(X_34),X_34)) = multiply(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),multiply(inverse(X_42),X_42)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
inverse(multiply(inverse(X_34),X_34)) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_34),X_34)),inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))) )],[refute_0_198,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(multiply(inverse(X_42),X_42)) = multiply(inverse(X_42),X_42),
inference(subst,[],[refute_0_225:[bind(X_34,$fot(X_42))]]) ).
cnf(refute_0_227,plain,
inverse(inverse(multiply(inverse(X_42),X_42))) = inverse(inverse(multiply(inverse(X_42),X_42))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(inverse(X_42),X_42))))]]) ).
cnf(refute_0_228,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(inverse(multiply(inverse(X_42),X_42))) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(inverse(multiply(inverse(X_42),X_42))) = inverse(multiply(inverse(X_42),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_42),X_42))),inverse(inverse(multiply(inverse(X_42),X_42)))) ),[1,0],$fot(multiply(inverse(X_42),X_42))]]) ).
cnf(refute_0_229,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(inverse(multiply(inverse(X_42),X_42))) = inverse(multiply(inverse(X_42),X_42)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_42),X_42))),inverse(inverse(multiply(inverse(X_42),X_42)))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
inverse(inverse(multiply(inverse(X_42),X_42))) = inverse(multiply(inverse(X_42),X_42)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_42),X_42)),multiply(inverse(X_42),X_42)) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(inverse(multiply(inverse(X_42),X_42))) != inverse(multiply(inverse(X_42),X_42))
| inverse(inverse(multiply(inverse(X_42),X_42))) = multiply(inverse(X_42),X_42) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(inverse(inverse(multiply(inverse(X_42),X_42))))),bind(Y0,$fot(inverse(multiply(inverse(X_42),X_42)))),bind(Z0,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_232,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(inverse(multiply(inverse(X_42),X_42))) = multiply(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_42),X_42))),inverse(multiply(inverse(X_42),X_42))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
inverse(inverse(multiply(inverse(X_42),X_42))) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_42),X_42)),multiply(inverse(X_42),X_42)) )],[refute_0_226,refute_0_232]) ).
cnf(refute_0_234,plain,
( multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(inverse(multiply(inverse(X_42),X_42))) != multiply(inverse(X_42),X_42)
| multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) = multiply(inverse(X_42),X_42) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))),bind(Y0,$fot(inverse(inverse(multiply(inverse(X_42),X_42))))),bind(Z0,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_235,plain,
( inverse(inverse(multiply(inverse(X_42),X_42))) != multiply(inverse(X_42),X_42)
| multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) = multiply(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)),inverse(inverse(multiply(inverse(X_42),X_42)))) )],[refute_0_211,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_42),X_42)) )],[refute_0_233,refute_0_235]) ).
cnf(refute_0_237,plain,
( multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) != multiply(inverse(X_42),X_42)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(multiply(inverse(X_42),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) ),[1,0],$fot(multiply(inverse(X_42),X_42))]]) ).
cnf(refute_0_238,plain,
( multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)) != multiply(inverse(X_42),X_42)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(multiply(inverse(X_42),X_42)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)))) )],[refute_0_212,refute_0_237]) ).
cnf(refute_0_239,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = inverse(multiply(inverse(X_42),X_42)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43)),multiply(inverse(X_42),X_42)) )],[refute_0_236,refute_0_238]) ).
cnf(refute_0_240,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != inverse(multiply(inverse(X_42),X_42))
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = multiply(inverse(X_42),X_42) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))))),bind(Y0,$fot(inverse(multiply(inverse(X_42),X_42)))),bind(Z0,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_241,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = multiply(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),inverse(multiply(inverse(X_42),X_42))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_42),X_42)),multiply(inverse(X_42),X_42)) )],[refute_0_226,refute_0_241]) ).
cnf(refute_0_243,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != multiply(inverse(X_42),X_42)
| inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != divide(X_1,X_1)
| multiply(inverse(X_42),X_42) = divide(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),divide(X_1,X_1)) ),[0],$fot(multiply(inverse(X_42),X_42))]]) ).
cnf(refute_0_244,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))) != divide(X_1,X_1)
| multiply(inverse(X_42),X_42) = divide(X_1,X_1) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),multiply(inverse(X_42),X_42)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(inverse(X_42),X_42) = divide(X_1,X_1),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_42),X_42))),multiply(inverse(X_43),X_43))),divide(X_1,X_1)) )],[refute_0_194,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(inverse(inverse(X_58)),inverse(X_58)) = divide(X_1,X_1),
inference(subst,[],[refute_0_245:[bind(X_42,$fot(inverse(X_58)))]]) ).
cnf(refute_0_247,plain,
multiply(X_24,multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30))) = multiply(inverse(inverse(X_24)),X_30),
inference(subst,[],[refute_0_77:[bind(X_25,$fot(multiply(inverse(inverse(X_24)),X_30)))]]) ).
cnf(refute_0_248,plain,
multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30)) = X_30,
inference(subst,[],[refute_0_77:[bind(X_24,$fot(inverse(X_24))),bind(X_25,$fot(X_30))]]) ).
cnf(refute_0_249,plain,
( multiply(X_24,multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30))) != multiply(inverse(inverse(X_24)),X_30)
| multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30)) != X_30
| multiply(X_24,X_30) = multiply(inverse(inverse(X_24)),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30))),multiply(inverse(inverse(X_24)),X_30)) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_250,plain,
( multiply(X_24,multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30))) != multiply(inverse(inverse(X_24)),X_30)
| multiply(X_24,X_30) = multiply(inverse(inverse(X_24)),X_30) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30)),X_30) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(X_24,X_30) = multiply(inverse(inverse(X_24)),X_30),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(inverse(X_24),multiply(inverse(inverse(X_24)),X_30))),multiply(inverse(inverse(X_24)),X_30)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(X_58,inverse(X_58)) = multiply(inverse(inverse(X_58)),inverse(X_58)),
inference(subst,[],[refute_0_251:[bind(X_24,$fot(X_58)),bind(X_30,$fot(inverse(X_58)))]]) ).
cnf(refute_0_253,plain,
( multiply(X_58,inverse(X_58)) != multiply(inverse(inverse(X_58)),inverse(X_58))
| multiply(inverse(inverse(X_58)),inverse(X_58)) = multiply(X_58,inverse(X_58)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_58,inverse(X_58)))),bind(Y0,$fot(multiply(inverse(inverse(X_58)),inverse(X_58))))]]) ).
cnf(refute_0_254,plain,
multiply(inverse(inverse(X_58)),inverse(X_58)) = multiply(X_58,inverse(X_58)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_58)),multiply(inverse(inverse(X_58)),inverse(X_58))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( multiply(inverse(inverse(X_58)),inverse(X_58)) != multiply(X_58,inverse(X_58))
| multiply(inverse(inverse(X_58)),inverse(X_58)) != divide(X_1,X_1)
| multiply(X_58,inverse(X_58)) = divide(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(X_58)),divide(X_1,X_1)) ),[0],$fot(multiply(X_58,inverse(X_58)))]]) ).
cnf(refute_0_256,plain,
( multiply(inverse(inverse(X_58)),inverse(X_58)) != divide(X_1,X_1)
| multiply(X_58,inverse(X_58)) = divide(X_1,X_1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(X_58)),multiply(X_58,inverse(X_58))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(X_58,inverse(X_58)) = divide(X_1,X_1),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(X_58)),divide(X_1,X_1)) )],[refute_0_246,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(inverse(X_24),inverse(inverse(X_24))) = divide(X_60,X_60),
inference(subst,[],[refute_0_257:[bind(X_1,$fot(X_60)),bind(X_58,$fot(inverse(X_24)))]]) ).
cnf(refute_0_259,plain,
( multiply(X_24,multiply(inverse(X_24),inverse(inverse(X_24)))) != inverse(inverse(X_24))
| multiply(inverse(X_24),inverse(inverse(X_24))) != divide(X_60,X_60)
| multiply(X_24,divide(X_60,X_60)) = inverse(inverse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,multiply(inverse(X_24),inverse(inverse(X_24)))),inverse(inverse(X_24))) ),[0,1],$fot(divide(X_60,X_60))]]) ).
cnf(refute_0_260,plain,
( multiply(X_24,multiply(inverse(X_24),inverse(inverse(X_24)))) != inverse(inverse(X_24))
| multiply(X_24,divide(X_60,X_60)) = inverse(inverse(X_24)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),inverse(inverse(X_24))),divide(X_60,X_60)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(X_24,divide(X_60,X_60)) = inverse(inverse(X_24)),
inference(resolve,[$cnf( $equal(multiply(X_24,multiply(inverse(X_24),inverse(inverse(X_24)))),inverse(inverse(X_24))) )],[refute_0_78,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(X_25,multiply(inverse(X_25),X_25)) = X_25,
inference(subst,[],[refute_0_77:[bind(X_24,$fot(X_25))]]) ).
cnf(refute_0_263,plain,
multiply(inverse(X_25),X_25) = divide(X_44,X_44),
inference(subst,[],[refute_0_245:[bind(X_1,$fot(X_44)),bind(X_42,$fot(X_25))]]) ).
cnf(refute_0_264,plain,
( multiply(X_25,multiply(inverse(X_25),X_25)) != X_25
| multiply(inverse(X_25),X_25) != divide(X_44,X_44)
| multiply(X_25,divide(X_44,X_44)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_25,multiply(inverse(X_25),X_25)),X_25) ),[0,1],$fot(divide(X_44,X_44))]]) ).
cnf(refute_0_265,plain,
( multiply(X_25,multiply(inverse(X_25),X_25)) != X_25
| multiply(X_25,divide(X_44,X_44)) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),X_25),divide(X_44,X_44)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(X_25,divide(X_44,X_44)) = X_25,
inference(resolve,[$cnf( $equal(multiply(X_25,multiply(inverse(X_25),X_25)),X_25) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(X_24,divide(X_60,X_60)) = X_24,
inference(subst,[],[refute_0_266:[bind(X_25,$fot(X_24)),bind(X_44,$fot(X_60))]]) ).
cnf(refute_0_268,plain,
( multiply(X_24,divide(X_60,X_60)) != X_24
| multiply(X_24,divide(X_60,X_60)) != inverse(inverse(X_24))
| X_24 = inverse(inverse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_24,divide(X_60,X_60)),inverse(inverse(X_24))) ),[0],$fot(X_24)]]) ).
cnf(refute_0_269,plain,
( multiply(X_24,divide(X_60,X_60)) != inverse(inverse(X_24))
| X_24 = inverse(inverse(X_24)) ),
inference(resolve,[$cnf( $equal(multiply(X_24,divide(X_60,X_60)),X_24) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
X_24 = inverse(inverse(X_24)),
inference(resolve,[$cnf( $equal(multiply(X_24,divide(X_60,X_60)),inverse(inverse(X_24))) )],[refute_0_261,refute_0_269]) ).
cnf(refute_0_271,plain,
( X_24 != inverse(inverse(X_24))
| inverse(inverse(X_24)) = X_24 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_24)),bind(Y0,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_272,plain,
inverse(inverse(X_24)) = X_24,
inference(resolve,[$cnf( $equal(X_24,inverse(inverse(X_24))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(inverse(X_7)) = X_7,
inference(subst,[],[refute_0_272:[bind(X_24,$fot(X_7))]]) ).
cnf(refute_0_274,plain,
( inverse(inverse(X_7)) != X_7
| inverse(inverse(X_7)) != multiply(multiply(inverse(Y),Y),X_7)
| X_7 = multiply(multiply(inverse(Y),Y),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_7)),multiply(multiply(inverse(Y),Y),X_7)) ),[0],$fot(X_7)]]) ).
cnf(refute_0_275,plain,
( inverse(inverse(X_7)) != multiply(multiply(inverse(Y),Y),X_7)
| X_7 = multiply(multiply(inverse(Y),Y),X_7) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),X_7) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
X_7 = multiply(multiply(inverse(Y),Y),X_7),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),multiply(multiply(inverse(Y),Y),X_7)) )],[refute_0_26,refute_0_275]) ).
cnf(refute_0_277,plain,
( X_7 != multiply(multiply(inverse(Y),Y),X_7)
| multiply(multiply(inverse(Y),Y),X_7) = X_7 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_7)),bind(Y0,$fot(multiply(multiply(inverse(Y),Y),X_7)))]]) ).
cnf(refute_0_278,plain,
multiply(multiply(inverse(Y),Y),X_7) = X_7,
inference(resolve,[$cnf( $equal(X_7,multiply(multiply(inverse(Y),Y),X_7)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(subst,[],[refute_0_278:[bind(Y,$fot(b2)),bind(X_7,$fot(a2))]]) ).
cnf(refute_0_280,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_281,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_281,prove_these_axioms]) ).
cnf(refute_0_283,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_284,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_283,refute_0_282]) ).
cnf(refute_0_285,plain,
inverse(divide(X_64,X_64)) = divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)),
inference(subst,[],[refute_0_108:[bind(X,$fot(divide(X_64,X_64)))]]) ).
cnf(refute_0_286,plain,
divide(X_24,divide(divide(inverse(X_25),inverse(Y)),divide(inverse(X_24),inverse(Y)))) = X_25,
inference(subst,[],[refute_0_56:[bind(X,$fot(X_24)),bind(Y,$fot(X_25)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_287,plain,
multiply(inverse(X_24),Y) = divide(inverse(X_24),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(X_24)))]]) ).
cnf(refute_0_288,plain,
( multiply(inverse(X_24),Y) != divide(inverse(X_24),inverse(Y))
| divide(inverse(X_24),inverse(Y)) = multiply(inverse(X_24),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_24),Y))),bind(Y0,$fot(divide(inverse(X_24),inverse(Y))))]]) ).
cnf(refute_0_289,plain,
divide(inverse(X_24),inverse(Y)) = multiply(inverse(X_24),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),Y),divide(inverse(X_24),inverse(Y))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(Y)),divide(inverse(X_24),inverse(Y)))) != X_25
| divide(inverse(X_24),inverse(Y)) != multiply(inverse(X_24),Y)
| divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),divide(inverse(X_24),inverse(Y)))),X_25) ),[0,1,1],$fot(multiply(inverse(X_24),Y))]]) ).
cnf(refute_0_291,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(Y)),divide(inverse(X_24),inverse(Y)))) != X_25
| divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = X_25 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_24),inverse(Y)),multiply(inverse(X_24),Y)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = X_25,
inference(resolve,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),divide(inverse(X_24),inverse(Y)))),X_25) )],[refute_0_286,refute_0_291]) ).
cnf(refute_0_293,plain,
divide(inverse(X_25),inverse(Y)) = multiply(inverse(X_25),Y),
inference(subst,[],[refute_0_65:[bind(X,$fot(inverse(X_25)))]]) ).
cnf(refute_0_294,plain,
divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) = divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)))]]) ).
cnf(refute_0_295,plain,
( divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) != divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))
| divide(inverse(X_25),inverse(Y)) != multiply(inverse(X_25),Y)
| divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) = divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)),divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) ),[1,0],$fot(multiply(inverse(X_25),Y))]]) ).
cnf(refute_0_296,plain,
( divide(inverse(X_25),inverse(Y)) != multiply(inverse(X_25),Y)
| divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) = divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)),divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) = divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y)),
inference(resolve,[$cnf( $equal(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_25),Y)) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))),
introduced(tautology,[refl,[$fot(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))))]]) ).
cnf(refute_0_299,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) != divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)))
| divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) != divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))
| divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))),divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)))) ),[1,1],$fot(divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y)))]]) ).
cnf(refute_0_300,plain,
( divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)) != divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))
| divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))) ),
inference(resolve,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))),divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) = divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y)),divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) != X_25
| divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) != divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y)))
| divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))),X_25) ),[0],$fot(divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))))]]) ).
cnf(refute_0_303,plain,
( divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))) != X_25
| divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))) = X_25 ),
inference(resolve,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))),divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y)))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
divide(X_24,divide(multiply(inverse(X_25),Y),multiply(inverse(X_24),Y))) = X_25,
inference(resolve,[$cnf( $equal(divide(X_24,divide(divide(inverse(X_25),inverse(Y)),multiply(inverse(X_24),Y))),X_25) )],[refute_0_292,refute_0_303]) ).
cnf(refute_0_305,plain,
divide(X_47,divide(multiply(inverse(multiply(inverse(X_34),X_34)),X_46),multiply(inverse(X_47),X_46))) = multiply(inverse(X_34),X_34),
inference(subst,[],[refute_0_304:[bind(Y,$fot(X_46)),bind(X_24,$fot(X_47)),bind(X_25,$fot(multiply(inverse(X_34),X_34)))]]) ).
cnf(refute_0_306,plain,
( divide(X_47,divide(multiply(inverse(multiply(inverse(X_34),X_34)),X_46),multiply(inverse(X_47),X_46))) != multiply(inverse(X_34),X_34)
| inverse(multiply(inverse(X_34),X_34)) != inverse(inverse(multiply(inverse(X_13),X_13)))
| divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) = multiply(inverse(X_34),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(multiply(inverse(multiply(inverse(X_34),X_34)),X_46),multiply(inverse(X_47),X_46))),multiply(inverse(X_34),X_34)) ),[0,1,0,0],$fot(inverse(inverse(multiply(inverse(X_13),X_13))))]]) ).
cnf(refute_0_307,plain,
( divide(X_47,divide(multiply(inverse(multiply(inverse(X_34),X_34)),X_46),multiply(inverse(X_47),X_46))) != multiply(inverse(X_34),X_34)
| divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) = multiply(inverse(X_34),X_34) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_34),X_34)),inverse(inverse(multiply(inverse(X_13),X_13)))) )],[refute_0_190,refute_0_306]) ).
cnf(refute_0_308,plain,
divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) = multiply(inverse(X_34),X_34),
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(multiply(inverse(X_34),X_34)),X_46),multiply(inverse(X_47),X_46))),multiply(inverse(X_34),X_34)) )],[refute_0_305,refute_0_307]) ).
cnf(refute_0_309,plain,
divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) = inverse(multiply(inverse(X_13),X_13)),
inference(subst,[],[refute_0_304:[bind(Y,$fot(X_46)),bind(X_24,$fot(X_47)),bind(X_25,$fot(inverse(multiply(inverse(X_13),X_13))))]]) ).
cnf(refute_0_310,plain,
( divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) != multiply(inverse(X_34),X_34)
| divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) != inverse(multiply(inverse(X_13),X_13))
| inverse(multiply(inverse(X_13),X_13)) = multiply(inverse(X_34),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))),multiply(inverse(X_34),X_34)) ),[0],$fot(inverse(multiply(inverse(X_13),X_13)))]]) ).
cnf(refute_0_311,plain,
( divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))) != multiply(inverse(X_34),X_34)
| inverse(multiply(inverse(X_13),X_13)) = multiply(inverse(X_34),X_34) ),
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))),inverse(multiply(inverse(X_13),X_13))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
inverse(multiply(inverse(X_13),X_13)) = multiply(inverse(X_34),X_34),
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(inverse(multiply(inverse(X_13),X_13))),X_46),multiply(inverse(X_47),X_46))),multiply(inverse(X_34),X_34)) )],[refute_0_308,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(multiply(inverse(inverse(X_58)),inverse(X_58))) = multiply(inverse(X_34),X_34),
inference(subst,[],[refute_0_312:[bind(X_13,$fot(inverse(X_58)))]]) ).
cnf(refute_0_314,plain,
( multiply(inverse(inverse(X_58)),inverse(X_58)) != multiply(X_58,inverse(X_58))
| inverse(multiply(inverse(inverse(X_58)),inverse(X_58))) != multiply(inverse(X_34),X_34)
| inverse(multiply(X_58,inverse(X_58))) = multiply(inverse(X_34),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(X_58)),inverse(X_58))),multiply(inverse(X_34),X_34)) ),[0,0],$fot(multiply(X_58,inverse(X_58)))]]) ).
cnf(refute_0_315,plain,
( inverse(multiply(inverse(inverse(X_58)),inverse(X_58))) != multiply(inverse(X_34),X_34)
| inverse(multiply(X_58,inverse(X_58))) = multiply(inverse(X_34),X_34) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_58)),inverse(X_58)),multiply(X_58,inverse(X_58))) )],[refute_0_254,refute_0_314]) ).
cnf(refute_0_316,plain,
inverse(multiply(X_58,inverse(X_58))) = multiply(inverse(X_34),X_34),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_58)),inverse(X_58))),multiply(inverse(X_34),X_34)) )],[refute_0_313,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(X,inverse(inverse(inverse(X_37)))) = divide(X,inverse(inverse(inverse(inverse(X_37))))),
inference(subst,[],[refute_0_13:[bind(Y,$fot(inverse(inverse(inverse(X_37)))))]]) ).
cnf(refute_0_318,plain,
inverse(inverse(inverse(inverse(X_37)))) = X_37,
inference(subst,[],[refute_0_142:[bind(X_27,$fot(X_37))]]) ).
cnf(refute_0_319,plain,
( multiply(X,inverse(inverse(inverse(X_37)))) != divide(X,inverse(inverse(inverse(inverse(X_37)))))
| inverse(inverse(inverse(inverse(X_37)))) != X_37
| multiply(X,inverse(inverse(inverse(X_37)))) = divide(X,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),divide(X,inverse(inverse(inverse(inverse(X_37)))))) ),[1,1],$fot(X_37)]]) ).
cnf(refute_0_320,plain,
( multiply(X,inverse(inverse(inverse(X_37)))) != divide(X,inverse(inverse(inverse(inverse(X_37)))))
| multiply(X,inverse(inverse(inverse(X_37)))) = divide(X,X_37) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_37)))),X_37) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(X,inverse(inverse(inverse(X_37)))) = divide(X,X_37),
inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),divide(X,inverse(inverse(inverse(inverse(X_37)))))) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
inverse(inverse(inverse(X_37))) = inverse(X_37),
inference(subst,[],[refute_0_272:[bind(X_24,$fot(inverse(X_37)))]]) ).
cnf(refute_0_323,plain,
multiply(X,inverse(inverse(inverse(X_37)))) = multiply(X,inverse(inverse(inverse(X_37)))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(inverse(inverse(X_37)))))]]) ).
cnf(refute_0_324,plain,
( multiply(X,inverse(inverse(inverse(X_37)))) != multiply(X,inverse(inverse(inverse(X_37))))
| inverse(inverse(inverse(X_37))) != inverse(X_37)
| multiply(X,inverse(inverse(inverse(X_37)))) = multiply(X,inverse(X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),multiply(X,inverse(inverse(inverse(X_37))))) ),[1,1],$fot(inverse(X_37))]]) ).
cnf(refute_0_325,plain,
( inverse(inverse(inverse(X_37))) != inverse(X_37)
| multiply(X,inverse(inverse(inverse(X_37)))) = multiply(X,inverse(X_37)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),multiply(X,inverse(inverse(inverse(X_37))))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(X,inverse(inverse(inverse(X_37)))) = multiply(X,inverse(X_37)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_37))),inverse(X_37)) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
( multiply(X,inverse(inverse(inverse(X_37)))) != multiply(X,inverse(X_37))
| multiply(X,inverse(inverse(inverse(X_37)))) != divide(X,X_37)
| multiply(X,inverse(X_37)) = divide(X,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),divide(X,X_37)) ),[0],$fot(multiply(X,inverse(X_37)))]]) ).
cnf(refute_0_328,plain,
( multiply(X,inverse(inverse(inverse(X_37)))) != divide(X,X_37)
| multiply(X,inverse(X_37)) = divide(X,X_37) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),multiply(X,inverse(X_37))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
multiply(X,inverse(X_37)) = divide(X,X_37),
inference(resolve,[$cnf( $equal(multiply(X,inverse(inverse(inverse(X_37)))),divide(X,X_37)) )],[refute_0_321,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(X_58,inverse(X_58)) = divide(X_58,X_58),
inference(subst,[],[refute_0_329:[bind(X,$fot(X_58)),bind(X_37,$fot(X_58))]]) ).
cnf(refute_0_331,plain,
inverse(multiply(X_58,inverse(X_58))) = inverse(multiply(X_58,inverse(X_58))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_58,inverse(X_58))))]]) ).
cnf(refute_0_332,plain,
( multiply(X_58,inverse(X_58)) != divide(X_58,X_58)
| inverse(multiply(X_58,inverse(X_58))) != inverse(multiply(X_58,inverse(X_58)))
| inverse(multiply(X_58,inverse(X_58))) = inverse(divide(X_58,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,inverse(X_58))),inverse(multiply(X_58,inverse(X_58)))) ),[1,0],$fot(divide(X_58,X_58))]]) ).
cnf(refute_0_333,plain,
( multiply(X_58,inverse(X_58)) != divide(X_58,X_58)
| inverse(multiply(X_58,inverse(X_58))) = inverse(divide(X_58,X_58)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,inverse(X_58))),inverse(multiply(X_58,inverse(X_58)))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
inverse(multiply(X_58,inverse(X_58))) = inverse(divide(X_58,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(X_58)),divide(X_58,X_58)) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
( inverse(multiply(X_58,inverse(X_58))) != multiply(inverse(X_34),X_34)
| inverse(multiply(X_58,inverse(X_58))) != inverse(divide(X_58,X_58))
| inverse(divide(X_58,X_58)) = multiply(inverse(X_34),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_58,inverse(X_58))),multiply(inverse(X_34),X_34)) ),[0],$fot(inverse(divide(X_58,X_58)))]]) ).
cnf(refute_0_336,plain,
( inverse(multiply(X_58,inverse(X_58))) != multiply(inverse(X_34),X_34)
| inverse(divide(X_58,X_58)) = multiply(inverse(X_34),X_34) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,inverse(X_58))),inverse(divide(X_58,X_58))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
inverse(divide(X_58,X_58)) = multiply(inverse(X_34),X_34),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,inverse(X_58))),multiply(inverse(X_34),X_34)) )],[refute_0_316,refute_0_336]) ).
cnf(refute_0_338,plain,
inverse(divide(X_64,X_64)) = multiply(inverse(X_63),X_63),
inference(subst,[],[refute_0_337:[bind(X_34,$fot(X_63)),bind(X_58,$fot(X_64))]]) ).
cnf(refute_0_339,plain,
( inverse(divide(X_64,X_64)) != multiply(inverse(X_63),X_63)
| inverse(divide(X_64,X_64)) != divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))
| multiply(inverse(X_63),X_63) = divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_64,X_64)),divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))) ),[0],$fot(multiply(inverse(X_63),X_63))]]) ).
cnf(refute_0_340,plain,
( inverse(divide(X_64,X_64)) != divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))
| multiply(inverse(X_63),X_63) = divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_64,X_64)),multiply(inverse(X_63),X_63)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(inverse(X_63),X_63) = divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)),
inference(resolve,[$cnf( $equal(inverse(divide(X_64,X_64)),divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))) )],[refute_0_285,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(X,multiply(inverse(X_36),X_36)) = divide(X,inverse(multiply(inverse(X_36),X_36))),
inference(subst,[],[refute_0_13:[bind(Y,$fot(multiply(inverse(X_36),X_36)))]]) ).
cnf(refute_0_343,plain,
inverse(multiply(inverse(X_36),X_36)) = divide(X_35,X_35),
inference(subst,[],[refute_0_171:[bind(X_1,$fot(X_35)),bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_344,plain,
( multiply(X,multiply(inverse(X_36),X_36)) != divide(X,inverse(multiply(inverse(X_36),X_36)))
| inverse(multiply(inverse(X_36),X_36)) != divide(X_35,X_35)
| multiply(X,multiply(inverse(X_36),X_36)) = divide(X,divide(X_35,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(inverse(X_36),X_36)),divide(X,inverse(multiply(inverse(X_36),X_36)))) ),[1,1],$fot(divide(X_35,X_35))]]) ).
cnf(refute_0_345,plain,
( multiply(X,multiply(inverse(X_36),X_36)) != divide(X,inverse(multiply(inverse(X_36),X_36)))
| multiply(X,multiply(inverse(X_36),X_36)) = divide(X,divide(X_35,X_35)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_36),X_36)),divide(X_35,X_35)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(X,multiply(inverse(X_36),X_36)) = divide(X,divide(X_35,X_35)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_36),X_36)),divide(X,inverse(multiply(inverse(X_36),X_36)))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( multiply(X,multiply(inverse(X_36),X_36)) != X
| multiply(X,multiply(inverse(X_36),X_36)) != divide(X,divide(X_35,X_35))
| X = divide(X,divide(X_35,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(inverse(X_36),X_36)),divide(X,divide(X_35,X_35))) ),[0],$fot(X)]]) ).
cnf(refute_0_348,plain,
( multiply(X,multiply(inverse(X_36),X_36)) != divide(X,divide(X_35,X_35))
| X = divide(X,divide(X_35,X_35)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_36),X_36)),X) )],[refute_0_210,refute_0_347]) ).
cnf(refute_0_349,plain,
X = divide(X,divide(X_35,X_35)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X_36),X_36)),divide(X,divide(X_35,X_35))) )],[refute_0_346,refute_0_348]) ).
cnf(refute_0_350,plain,
( X != divide(X,divide(X_35,X_35))
| divide(X,divide(X_35,X_35)) = X ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X)),bind(Y0,$fot(divide(X,divide(X_35,X_35))))]]) ).
cnf(refute_0_351,plain,
divide(X,divide(X_35,X_35)) = X,
inference(resolve,[$cnf( $equal(X,divide(X,divide(X_35,X_35))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)) = multiply(inverse(X_5),X_5),
inference(subst,[],[refute_0_351:[bind(X,$fot(multiply(inverse(X_5),X_5))),bind(X_35,$fot(X_64))]]) ).
cnf(refute_0_353,plain,
( multiply(inverse(X_63),X_63) != divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))
| divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)) != multiply(inverse(X_5),X_5)
| multiply(inverse(X_63),X_63) = multiply(inverse(X_5),X_5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_63),X_63),multiply(inverse(X_5),X_5)) ),[0],$fot(divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)))]]) ).
cnf(refute_0_354,plain,
( multiply(inverse(X_63),X_63) != divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))
| multiply(inverse(X_63),X_63) = multiply(inverse(X_5),X_5) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_5),X_5),divide(X_64,X_64)),multiply(inverse(X_5),X_5)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(inverse(X_63),X_63) = multiply(inverse(X_5),X_5),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),X_63),divide(multiply(inverse(X_5),X_5),divide(X_64,X_64))) )],[refute_0_341,refute_0_354]) ).
cnf(refute_0_356,plain,
( multiply(inverse(X_63),X_63) != multiply(inverse(X_5),X_5)
| multiply(inverse(X_5),X_5) = multiply(inverse(X_63),X_63) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_63),X_63))),bind(Y0,$fot(multiply(inverse(X_5),X_5)))]]) ).
cnf(refute_0_357,plain,
multiply(inverse(X_5),X_5) = multiply(inverse(X_63),X_63),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),X_63),multiply(inverse(X_5),X_5)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_357:[bind(X_5,$fot(a1)),bind(X_63,$fot(b1))]]) ).
cnf(refute_0_359,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_358,refute_0_284]) ).
cnf(refute_0_360,plain,
multiply(inverse(inverse(inverse(X_37))),multiply(inverse(inverse(inverse(inverse(X_37)))),X_25)) = X_25,
inference(subst,[],[refute_0_77:[bind(X_24,$fot(inverse(inverse(inverse(X_37)))))]]) ).
cnf(refute_0_361,plain,
( multiply(inverse(inverse(inverse(X_37))),multiply(inverse(inverse(inverse(inverse(X_37)))),X_25)) != X_25
| inverse(inverse(inverse(inverse(X_37)))) != X_37
| multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_37))),multiply(inverse(inverse(inverse(inverse(X_37)))),X_25)),X_25) ),[0,1,0],$fot(X_37)]]) ).
cnf(refute_0_362,plain,
( multiply(inverse(inverse(inverse(X_37))),multiply(inverse(inverse(inverse(inverse(X_37)))),X_25)) != X_25
| multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_37)))),X_37) )],[refute_0_318,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) = X_25,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_37))),multiply(inverse(inverse(inverse(inverse(X_37)))),X_25)),X_25) )],[refute_0_360,refute_0_362]) ).
cnf(refute_0_364,plain,
( multiply(X_24,X_30) != multiply(inverse(inverse(X_24)),X_30)
| multiply(inverse(inverse(X_24)),X_30) = multiply(X_24,X_30) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_24,X_30))),bind(Y0,$fot(multiply(inverse(inverse(X_24)),X_30)))]]) ).
cnf(refute_0_365,plain,
multiply(inverse(inverse(X_24)),X_30) = multiply(X_24,X_30),
inference(resolve,[$cnf( $equal(multiply(X_24,X_30),multiply(inverse(inverse(X_24)),X_30)) )],[refute_0_251,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) = multiply(inverse(X_37),multiply(X_37,X_25)),
inference(subst,[],[refute_0_365:[bind(X_24,$fot(inverse(X_37))),bind(X_30,$fot(multiply(X_37,X_25)))]]) ).
cnf(refute_0_367,plain,
( multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) != X_25
| multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) != multiply(inverse(X_37),multiply(X_37,X_25))
| multiply(inverse(X_37),multiply(X_37,X_25)) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)),X_25) ),[0],$fot(multiply(inverse(X_37),multiply(X_37,X_25)))]]) ).
cnf(refute_0_368,plain,
( multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)) != X_25
| multiply(inverse(X_37),multiply(X_37,X_25)) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)),multiply(inverse(X_37),multiply(X_37,X_25))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(inverse(X_37),multiply(X_37,X_25)) = X_25,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_37))),multiply(X_37,X_25)),X_25) )],[refute_0_363,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(inverse(inverse(divide(X_25,X_94))),multiply(inverse(divide(X_25,X_94)),X_25)) = X_25,
inference(subst,[],[refute_0_369:[bind(X_37,$fot(inverse(divide(X_25,X_94))))]]) ).
cnf(refute_0_371,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(divide(inverse(inverse(Y)),X_91))))]]) ).
cnf(refute_0_372,plain,
divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)))) = X_48,
inference(subst,[],[refute_0_304:[bind(Y,$fot(multiply(inverse(inverse(X_47)),X_25))),bind(X_24,$fot(X_47)),bind(X_25,$fot(X_48))]]) ).
cnf(refute_0_373,plain,
multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)) = X_25,
inference(subst,[],[refute_0_77:[bind(X_24,$fot(inverse(X_47)))]]) ).
cnf(refute_0_374,plain,
( multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)) != X_25
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)))) != X_48
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = X_48 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)))),X_48) ),[0,1,1],$fot(X_25)]]) ).
cnf(refute_0_375,plain,
( divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)))) != X_48
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = X_48 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)),X_25) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = X_48,
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_47)),X_25)))),X_48) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(inverse(inverse(X_47)),X_25) = multiply(X_47,X_25),
inference(subst,[],[refute_0_365:[bind(X_24,$fot(X_47)),bind(X_30,$fot(X_25))]]) ).
cnf(refute_0_378,plain,
multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) = multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)))]]) ).
cnf(refute_0_379,plain,
( multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) != multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25))
| multiply(inverse(inverse(X_47)),X_25) != multiply(X_47,X_25)
| multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) = multiply(inverse(X_48),multiply(X_47,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25))) ),[1,1],$fot(multiply(X_47,X_25))]]) ).
cnf(refute_0_380,plain,
( multiply(inverse(inverse(X_47)),X_25) != multiply(X_47,X_25)
| multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) = multiply(inverse(X_48),multiply(X_47,X_25)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) = multiply(inverse(X_48),multiply(X_47,X_25)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_47)),X_25),multiply(X_47,X_25)) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) = divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25))]]) ).
cnf(refute_0_383,plain,
( multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) != multiply(inverse(X_48),multiply(X_47,X_25))
| divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) != divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)
| divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) = divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25),divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) ),[1,0],$fot(multiply(inverse(X_48),multiply(X_47,X_25)))]]) ).
cnf(refute_0_384,plain,
( multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)) != multiply(inverse(X_48),multiply(X_47,X_25))
| divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) = divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25),divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) = divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),multiply(inverse(X_48),multiply(X_47,X_25))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)),
introduced(tautology,[refl,[$fot(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)))]]) ).
cnf(refute_0_387,plain,
( divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) != divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25))
| divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) != divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)),divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25))) ),[1,1],$fot(divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25))]]) ).
cnf(refute_0_388,plain,
( divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25) != divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)) ),
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)),divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) = divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25),divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) != X_48
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) != divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25))
| divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)) = X_48 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)),X_48) ),[0],$fot(divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)))]]) ).
cnf(refute_0_391,plain,
( divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)) != X_48
| divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)) = X_48 ),
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)),divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
divide(X_47,divide(multiply(inverse(X_48),multiply(X_47,X_25)),X_25)) = X_48,
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_47)),X_25)),X_25)),X_48) )],[refute_0_376,refute_0_391]) ).
cnf(refute_0_393,plain,
divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_86),X_86)),X_86)) = X_88,
inference(subst,[],[refute_0_392:[bind(X_25,$fot(X_86)),bind(X_47,$fot(inverse(X_86))),bind(X_48,$fot(X_88))]]) ).
cnf(refute_0_394,plain,
inverse(inverse(inverse(inverse(multiply(inverse(X_43),X_43))))) = multiply(inverse(X_43),X_43),
inference(subst,[],[refute_0_142:[bind(X_27,$fot(multiply(inverse(X_43),X_43)))]]) ).
cnf(refute_0_395,plain,
( inverse(multiply(inverse(X_43),X_43)) != inverse(inverse(multiply(inverse(X_42),X_42)))
| inverse(inverse(inverse(inverse(multiply(inverse(X_43),X_43))))) != multiply(inverse(X_43),X_43)
| inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = multiply(inverse(X_43),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(inverse(X_43),X_43))))),multiply(inverse(X_43),X_43)) ),[0,0,0,0],$fot(inverse(inverse(multiply(inverse(X_42),X_42))))]]) ).
cnf(refute_0_396,plain,
( inverse(inverse(inverse(inverse(multiply(inverse(X_43),X_43))))) != multiply(inverse(X_43),X_43)
| inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = multiply(inverse(X_43),X_43) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_43),X_43)),inverse(inverse(multiply(inverse(X_42),X_42)))) )],[refute_0_191,refute_0_395]) ).
cnf(refute_0_397,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = multiply(inverse(X_43),X_43),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(inverse(X_43),X_43))))),multiply(inverse(X_43),X_43)) )],[refute_0_394,refute_0_396]) ).
cnf(refute_0_398,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = inverse(multiply(inverse(X_42),X_42)),
inference(subst,[],[refute_0_142:[bind(X_27,$fot(inverse(multiply(inverse(X_42),X_42))))]]) ).
cnf(refute_0_399,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) != inverse(multiply(inverse(X_42),X_42))
| inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = multiply(inverse(X_42),X_42) ),
inference(subst,[],[refute_0_46:[bind(X0,$fot(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))))),bind(Y0,$fot(inverse(multiply(inverse(X_42),X_42)))),bind(Z0,$fot(multiply(inverse(X_42),X_42)))]]) ).
cnf(refute_0_400,plain,
( inverse(multiply(inverse(X_42),X_42)) != multiply(inverse(X_42),X_42)
| inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = multiply(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))),inverse(multiply(inverse(X_42),X_42))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_42),X_42)),multiply(inverse(X_42),X_42)) )],[refute_0_226,refute_0_400]) ).
cnf(refute_0_402,plain,
( inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) != multiply(inverse(X_42),X_42)
| inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) != multiply(inverse(X_43),X_43)
| multiply(inverse(X_42),X_42) = multiply(inverse(X_43),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))),multiply(inverse(X_43),X_43)) ),[0],$fot(multiply(inverse(X_42),X_42))]]) ).
cnf(refute_0_403,plain,
( inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))) != multiply(inverse(X_43),X_43)
| multiply(inverse(X_42),X_42) = multiply(inverse(X_43),X_43) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))),multiply(inverse(X_42),X_42)) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
multiply(inverse(X_42),X_42) = multiply(inverse(X_43),X_43),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(multiply(inverse(X_42),X_42)))))),multiply(inverse(X_43),X_43)) )],[refute_0_397,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(inverse(X_42),X_42) = multiply(inverse(X_86),X_86),
inference(subst,[],[refute_0_404:[bind(X_43,$fot(X_86))]]) ).
cnf(refute_0_406,plain,
( multiply(inverse(X_42),X_42) != multiply(inverse(X_86),X_86)
| multiply(inverse(X_86),X_86) = multiply(inverse(X_42),X_42) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_42),X_42))),bind(Y0,$fot(multiply(inverse(X_86),X_86)))]]) ).
cnf(refute_0_407,plain,
multiply(inverse(X_86),X_86) = multiply(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(multiply(inverse(X_42),X_42),multiply(inverse(X_86),X_86)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( multiply(inverse(X_86),X_86) != multiply(inverse(X_42),X_42)
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_86),X_86)),X_86)) != X_88
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = X_88 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_86),X_86)),X_86)),X_88) ),[0,1,0,1],$fot(multiply(inverse(X_42),X_42))]]) ).
cnf(refute_0_409,plain,
( divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_86),X_86)),X_86)) != X_88
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = X_88 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_86),X_86),multiply(inverse(X_42),X_42)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = X_88,
inference(resolve,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_86),X_86)),X_86)),X_88) )],[refute_0_393,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(inverse(X_88),multiply(inverse(X_42),X_42)) = inverse(X_88),
inference(subst,[],[refute_0_210:[bind(X,$fot(inverse(X_88))),bind(X_36,$fot(X_42))]]) ).
cnf(refute_0_412,plain,
divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) = divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86))]]) ).
cnf(refute_0_413,plain,
( multiply(inverse(X_88),multiply(inverse(X_42),X_42)) != inverse(X_88)
| divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) != divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)
| divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) = divide(inverse(X_88),X_86) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) ),[1,0],$fot(inverse(X_88))]]) ).
cnf(refute_0_414,plain,
( multiply(inverse(X_88),multiply(inverse(X_42),X_42)) != inverse(X_88)
| divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) = divide(inverse(X_88),X_86) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) = divide(inverse(X_88),X_86),
inference(resolve,[$cnf( $equal(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),inverse(X_88)) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)),
introduced(tautology,[refl,[$fot(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)))]]) ).
cnf(refute_0_417,plain,
( divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) != divide(inverse(X_88),X_86)
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) != divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86))
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = divide(inverse(X_86),divide(inverse(X_88),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)),divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86))) ),[1,1],$fot(divide(inverse(X_88),X_86))]]) ).
cnf(refute_0_418,plain,
( divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86) != divide(inverse(X_88),X_86)
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = divide(inverse(X_86),divide(inverse(X_88),X_86)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)),divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) = divide(inverse(X_86),divide(inverse(X_88),X_86)),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86),divide(inverse(X_88),X_86)) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
( divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) != X_88
| divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) != divide(inverse(X_86),divide(inverse(X_88),X_86))
| divide(inverse(X_86),divide(inverse(X_88),X_86)) = X_88 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)),X_88) ),[0],$fot(divide(inverse(X_86),divide(inverse(X_88),X_86)))]]) ).
cnf(refute_0_421,plain,
( divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)) != X_88
| divide(inverse(X_86),divide(inverse(X_88),X_86)) = X_88 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)),divide(inverse(X_86),divide(inverse(X_88),X_86))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
divide(inverse(X_86),divide(inverse(X_88),X_86)) = X_88,
inference(resolve,[$cnf( $equal(divide(inverse(X_86),divide(multiply(inverse(X_88),multiply(inverse(X_42),X_42)),X_86)),X_88) )],[refute_0_410,refute_0_421]) ).
cnf(refute_0_423,plain,
divide(inverse(divide(inverse(X_90),X_88)),divide(inverse(X_88),divide(inverse(X_90),X_88))) = X_88,
inference(subst,[],[refute_0_422:[bind(X_86,$fot(divide(inverse(X_90),X_88)))]]) ).
cnf(refute_0_424,plain,
divide(inverse(X_88),divide(inverse(X_90),X_88)) = X_90,
inference(subst,[],[refute_0_422:[bind(X_86,$fot(X_88)),bind(X_88,$fot(X_90))]]) ).
cnf(refute_0_425,plain,
( divide(inverse(X_88),divide(inverse(X_90),X_88)) != X_90
| divide(inverse(divide(inverse(X_90),X_88)),divide(inverse(X_88),divide(inverse(X_90),X_88))) != X_88
| divide(inverse(divide(inverse(X_90),X_88)),X_90) = X_88 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(inverse(X_90),X_88)),divide(inverse(X_88),divide(inverse(X_90),X_88))),X_88) ),[0,1],$fot(X_90)]]) ).
cnf(refute_0_426,plain,
( divide(inverse(divide(inverse(X_90),X_88)),divide(inverse(X_88),divide(inverse(X_90),X_88))) != X_88
| divide(inverse(divide(inverse(X_90),X_88)),X_90) = X_88 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_88),divide(inverse(X_90),X_88)),X_90) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
divide(inverse(divide(inverse(X_90),X_88)),X_90) = X_88,
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_90),X_88)),divide(inverse(X_88),divide(inverse(X_90),X_88))),X_88) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y)) = X_91,
inference(subst,[],[refute_0_427:[bind(X_88,$fot(X_91)),bind(X_90,$fot(inverse(Y)))]]) ).
cnf(refute_0_429,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) != divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y))
| divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y)) != X_91
| multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = X_91 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),X_91) ),[0],$fot(divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y)))]]) ).
cnf(refute_0_430,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) != divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y))
| multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = X_91 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y)),X_91) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = X_91,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),divide(inverse(divide(inverse(inverse(Y)),X_91)),inverse(Y))) )],[refute_0_371,refute_0_430]) ).
cnf(refute_0_432,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_272:[bind(X_24,$fot(Y))]]) ).
cnf(refute_0_433,plain,
divide(inverse(inverse(Y)),X_91) = divide(inverse(inverse(Y)),X_91),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(Y)),X_91))]]) ).
cnf(refute_0_434,plain,
( divide(inverse(inverse(Y)),X_91) != divide(inverse(inverse(Y)),X_91)
| inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),X_91) = divide(Y,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(Y)),X_91),divide(inverse(inverse(Y)),X_91)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_435,plain,
( inverse(inverse(Y)) != Y
| divide(inverse(inverse(Y)),X_91) = divide(Y,X_91) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),X_91),divide(inverse(inverse(Y)),X_91)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
divide(inverse(inverse(Y)),X_91) = divide(Y,X_91),
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_432,refute_0_435]) ).
cnf(refute_0_437,plain,
inverse(divide(inverse(inverse(Y)),X_91)) = inverse(divide(inverse(inverse(Y)),X_91)),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(inverse(Y)),X_91)))]]) ).
cnf(refute_0_438,plain,
( divide(inverse(inverse(Y)),X_91) != divide(Y,X_91)
| inverse(divide(inverse(inverse(Y)),X_91)) != inverse(divide(inverse(inverse(Y)),X_91))
| inverse(divide(inverse(inverse(Y)),X_91)) = inverse(divide(Y,X_91)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(inverse(Y)),X_91)),inverse(divide(inverse(inverse(Y)),X_91))) ),[1,0],$fot(divide(Y,X_91))]]) ).
cnf(refute_0_439,plain,
( divide(inverse(inverse(Y)),X_91) != divide(Y,X_91)
| inverse(divide(inverse(inverse(Y)),X_91)) = inverse(divide(Y,X_91)) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(inverse(Y)),X_91)),inverse(divide(inverse(inverse(Y)),X_91))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
inverse(divide(inverse(inverse(Y)),X_91)) = inverse(divide(Y,X_91)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(Y)),X_91),divide(Y,X_91)) )],[refute_0_436,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y))]]) ).
cnf(refute_0_442,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) != multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y)
| inverse(divide(inverse(inverse(Y)),X_91)) != inverse(divide(Y,X_91))
| multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = multiply(inverse(divide(Y,X_91)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y)) ),[1,0],$fot(inverse(divide(Y,X_91)))]]) ).
cnf(refute_0_443,plain,
( inverse(divide(inverse(inverse(Y)),X_91)) != inverse(divide(Y,X_91))
| multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = multiply(inverse(divide(Y,X_91)),Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y)) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) = multiply(inverse(divide(Y,X_91)),Y),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(inverse(Y)),X_91)),inverse(divide(Y,X_91))) )],[refute_0_440,refute_0_443]) ).
cnf(refute_0_445,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) != X_91
| multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) != multiply(inverse(divide(Y,X_91)),Y)
| multiply(inverse(divide(Y,X_91)),Y) = X_91 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),X_91) ),[0],$fot(multiply(inverse(divide(Y,X_91)),Y))]]) ).
cnf(refute_0_446,plain,
( multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y) != X_91
| multiply(inverse(divide(Y,X_91)),Y) = X_91 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),multiply(inverse(divide(Y,X_91)),Y)) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(inverse(divide(Y,X_91)),Y) = X_91,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(inverse(inverse(Y)),X_91)),Y),X_91) )],[refute_0_431,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(inverse(divide(X_25,X_94)),X_25) = X_94,
inference(subst,[],[refute_0_447:[bind(Y,$fot(X_25)),bind(X_91,$fot(X_94))]]) ).
cnf(refute_0_449,plain,
( multiply(inverse(divide(X_25,X_94)),X_25) != X_94
| multiply(inverse(inverse(divide(X_25,X_94))),multiply(inverse(divide(X_25,X_94)),X_25)) != X_25
| multiply(inverse(inverse(divide(X_25,X_94))),X_94) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),multiply(inverse(divide(X_25,X_94)),X_25)),X_25) ),[0,1],$fot(X_94)]]) ).
cnf(refute_0_450,plain,
( multiply(inverse(inverse(divide(X_25,X_94))),multiply(inverse(divide(X_25,X_94)),X_25)) != X_25
| multiply(inverse(inverse(divide(X_25,X_94))),X_94) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_25,X_94)),X_25),X_94) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
multiply(inverse(inverse(divide(X_25,X_94))),X_94) = X_25,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),multiply(inverse(divide(X_25,X_94)),X_25)),X_25) )],[refute_0_370,refute_0_450]) ).
cnf(refute_0_452,plain,
inverse(inverse(divide(X_25,X_94))) = divide(X_25,X_94),
inference(subst,[],[refute_0_272:[bind(X_24,$fot(divide(X_25,X_94)))]]) ).
cnf(refute_0_453,plain,
multiply(inverse(inverse(divide(X_25,X_94))),X_94) = multiply(inverse(inverse(divide(X_25,X_94))),X_94),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(divide(X_25,X_94))),X_94))]]) ).
cnf(refute_0_454,plain,
( multiply(inverse(inverse(divide(X_25,X_94))),X_94) != multiply(inverse(inverse(divide(X_25,X_94))),X_94)
| inverse(inverse(divide(X_25,X_94))) != divide(X_25,X_94)
| multiply(inverse(inverse(divide(X_25,X_94))),X_94) = multiply(divide(X_25,X_94),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),X_94),multiply(inverse(inverse(divide(X_25,X_94))),X_94)) ),[1,0],$fot(divide(X_25,X_94))]]) ).
cnf(refute_0_455,plain,
( inverse(inverse(divide(X_25,X_94))) != divide(X_25,X_94)
| multiply(inverse(inverse(divide(X_25,X_94))),X_94) = multiply(divide(X_25,X_94),X_94) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),X_94),multiply(inverse(inverse(divide(X_25,X_94))),X_94)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(inverse(inverse(divide(X_25,X_94))),X_94) = multiply(divide(X_25,X_94),X_94),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_25,X_94))),divide(X_25,X_94)) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
( multiply(inverse(inverse(divide(X_25,X_94))),X_94) != X_25
| multiply(inverse(inverse(divide(X_25,X_94))),X_94) != multiply(divide(X_25,X_94),X_94)
| multiply(divide(X_25,X_94),X_94) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),X_94),X_25) ),[0],$fot(multiply(divide(X_25,X_94),X_94))]]) ).
cnf(refute_0_458,plain,
( multiply(inverse(inverse(divide(X_25,X_94))),X_94) != X_25
| multiply(divide(X_25,X_94),X_94) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),X_94),multiply(divide(X_25,X_94),X_94)) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(divide(X_25,X_94),X_94) = X_25,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(divide(X_25,X_94))),X_94),X_25) )],[refute_0_451,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)),multiply(X_130,X_129)) = multiply(multiply(X_131,X_130),X_129),
inference(subst,[],[refute_0_459:[bind(X_25,$fot(multiply(multiply(X_131,X_130),X_129))),bind(X_94,$fot(multiply(X_130,X_129)))]]) ).
cnf(refute_0_461,plain,
divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = X_48,
inference(subst,[],[refute_0_304:[bind(Y,$fot(multiply(inverse(inverse(X_48)),X_25))),bind(X_24,$fot(X_47)),bind(X_25,$fot(X_48))]]) ).
cnf(refute_0_462,plain,
multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)) = X_25,
inference(subst,[],[refute_0_77:[bind(X_24,$fot(inverse(X_48)))]]) ).
cnf(refute_0_463,plain,
( multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)) != X_25
| divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) != X_48
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = X_48 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),X_48) ),[0,1,0],$fot(X_25)]]) ).
cnf(refute_0_464,plain,
( divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) != X_48
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = X_48 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)),X_25) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = X_48,
inference(resolve,[$cnf( $equal(divide(X_47,divide(multiply(inverse(X_48),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),X_48) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
multiply(inverse(inverse(X_48)),X_25) = multiply(X_48,X_25),
inference(subst,[],[refute_0_365:[bind(X_24,$fot(X_48)),bind(X_30,$fot(X_25))]]) ).
cnf(refute_0_467,plain,
multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) = multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))]]) ).
cnf(refute_0_468,plain,
( multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) != multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))
| multiply(inverse(inverse(X_48)),X_25) != multiply(X_48,X_25)
| multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) = multiply(inverse(X_47),multiply(X_48,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) ),[1,1],$fot(multiply(X_48,X_25))]]) ).
cnf(refute_0_469,plain,
( multiply(inverse(inverse(X_48)),X_25) != multiply(X_48,X_25)
| multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) = multiply(inverse(X_47),multiply(X_48,X_25)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) = multiply(inverse(X_47),multiply(X_48,X_25)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),X_25),multiply(X_48,X_25)) )],[refute_0_466,refute_0_469]) ).
cnf(refute_0_471,plain,
divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) = divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))),
introduced(tautology,[refl,[$fot(divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))))]]) ).
cnf(refute_0_472,plain,
( multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) != multiply(inverse(X_47),multiply(X_48,X_25))
| divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) != divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))
| divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) = divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))),divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) ),[1,1],$fot(multiply(inverse(X_47),multiply(X_48,X_25)))]]) ).
cnf(refute_0_473,plain,
( multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)) != multiply(inverse(X_47),multiply(X_48,X_25))
| divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) = divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25))) ),
inference(resolve,[$cnf( $equal(divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))),divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) = divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)),multiply(inverse(X_47),multiply(X_48,X_25))) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),
introduced(tautology,[refl,[$fot(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))))]]) ).
cnf(refute_0_476,plain,
( divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) != divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) != divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))))
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))))) ),[1,1],$fot(divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25))))]]) ).
cnf(refute_0_477,plain,
( divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))) != divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))) ),
inference(resolve,[$cnf( $equal(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) = divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))),
inference(resolve,[$cnf( $equal(divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25))),divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))) )],[refute_0_474,refute_0_477]) ).
cnf(refute_0_479,plain,
( divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) != X_48
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) != divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25))))
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))) = X_48 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),X_48) ),[0],$fot(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))))]]) ).
cnf(refute_0_480,plain,
( divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))) != X_48
| divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))) = X_48 ),
inference(resolve,[$cnf( $equal(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25))))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(X_48,X_25)))) = X_48,
inference(resolve,[$cnf( $equal(divide(X_47,divide(X_25,multiply(inverse(X_47),multiply(inverse(inverse(X_48)),X_25)))),X_48) )],[refute_0_465,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(multiply(multiply(X_105,X_103),Y),divide(X_103,multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)))) = X_105,
inference(subst,[],[refute_0_481:[bind(X_25,$fot(X_103)),bind(X_47,$fot(multiply(multiply(X_105,X_103),Y))),bind(X_48,$fot(X_105))]]) ).
cnf(refute_0_483,plain,
multiply(inverse(divide(X_93,inverse(Y))),X_93) = inverse(Y),
inference(subst,[],[refute_0_447:[bind(Y,$fot(X_93)),bind(X_91,$fot(inverse(Y)))]]) ).
cnf(refute_0_484,plain,
multiply(X_93,Y) = divide(X_93,inverse(Y)),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_93))]]) ).
cnf(refute_0_485,plain,
( multiply(X_93,Y) != divide(X_93,inverse(Y))
| divide(X_93,inverse(Y)) = multiply(X_93,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_93,Y))),bind(Y0,$fot(divide(X_93,inverse(Y))))]]) ).
cnf(refute_0_486,plain,
divide(X_93,inverse(Y)) = multiply(X_93,Y),
inference(resolve,[$cnf( $equal(multiply(X_93,Y),divide(X_93,inverse(Y))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( multiply(inverse(divide(X_93,inverse(Y))),X_93) != inverse(Y)
| divide(X_93,inverse(Y)) != multiply(X_93,Y)
| multiply(inverse(multiply(X_93,Y)),X_93) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_93,inverse(Y))),X_93),inverse(Y)) ),[0,0,0],$fot(multiply(X_93,Y))]]) ).
cnf(refute_0_488,plain,
( multiply(inverse(divide(X_93,inverse(Y))),X_93) != inverse(Y)
| multiply(inverse(multiply(X_93,Y)),X_93) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_93,inverse(Y)),multiply(X_93,Y)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(inverse(multiply(X_93,Y)),X_93) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_93,inverse(Y))),X_93),inverse(Y)) )],[refute_0_483,refute_0_488]) ).
cnf(refute_0_490,plain,
multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)) = inverse(Y),
inference(subst,[],[refute_0_489:[bind(X_93,$fot(multiply(X_105,X_103)))]]) ).
cnf(refute_0_491,plain,
( multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)) != inverse(Y)
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)))) != X_105
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = X_105 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)))),X_105) ),[0,1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_492,plain,
( divide(multiply(multiply(X_105,X_103),Y),divide(X_103,multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)))) != X_105
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = X_105 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)),inverse(Y)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = X_105,
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,multiply(inverse(multiply(multiply(X_105,X_103),Y)),multiply(X_105,X_103)))),X_105) )],[refute_0_482,refute_0_492]) ).
cnf(refute_0_494,plain,
divide(X_103,inverse(Y)) = multiply(X_103,Y),
inference(subst,[],[refute_0_65:[bind(X,$fot(X_103))]]) ).
cnf(refute_0_495,plain,
divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))),
introduced(tautology,[refl,[$fot(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))))]]) ).
cnf(refute_0_496,plain,
( divide(X_103,inverse(Y)) != multiply(X_103,Y)
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) != divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y)))
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))),divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y)))) ),[1,1],$fot(multiply(X_103,Y))]]) ).
cnf(refute_0_497,plain,
( divide(X_103,inverse(Y)) != multiply(X_103,Y)
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))),divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y)))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) = divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)),
inference(resolve,[$cnf( $equal(divide(X_103,inverse(Y)),multiply(X_103,Y)) )],[refute_0_494,refute_0_497]) ).
cnf(refute_0_499,plain,
( divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) != X_105
| divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) != divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y))
| divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)) = X_105 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))),X_105) ),[0],$fot(divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)))]]) ).
cnf(refute_0_500,plain,
( divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))) != X_105
| divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)) = X_105 ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))),divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
divide(multiply(multiply(X_105,X_103),Y),multiply(X_103,Y)) = X_105,
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_105,X_103),Y),divide(X_103,inverse(Y))),X_105) )],[refute_0_493,refute_0_500]) ).
cnf(refute_0_502,plain,
divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)) = X_131,
inference(subst,[],[refute_0_501:[bind(Y,$fot(X_129)),bind(X_103,$fot(X_130)),bind(X_105,$fot(X_131))]]) ).
cnf(refute_0_503,plain,
( multiply(divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)),multiply(X_130,X_129)) != multiply(multiply(X_131,X_130),X_129)
| divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)) != X_131
| multiply(X_131,multiply(X_130,X_129)) = multiply(multiply(X_131,X_130),X_129) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)),multiply(X_130,X_129)),multiply(multiply(X_131,X_130),X_129)) ),[0,0],$fot(X_131)]]) ).
cnf(refute_0_504,plain,
( multiply(divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)),multiply(X_130,X_129)) != multiply(multiply(X_131,X_130),X_129)
| multiply(X_131,multiply(X_130,X_129)) = multiply(multiply(X_131,X_130),X_129) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)),X_131) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(X_131,multiply(X_130,X_129)) = multiply(multiply(X_131,X_130),X_129),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(multiply(X_131,X_130),X_129),multiply(X_130,X_129)),multiply(X_130,X_129)),multiply(multiply(X_131,X_130),X_129)) )],[refute_0_460,refute_0_504]) ).
cnf(refute_0_506,plain,
( multiply(X_131,multiply(X_130,X_129)) != multiply(multiply(X_131,X_130),X_129)
| multiply(multiply(X_131,X_130),X_129) = multiply(X_131,multiply(X_130,X_129)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_131,multiply(X_130,X_129)))),bind(Y0,$fot(multiply(multiply(X_131,X_130),X_129)))]]) ).
cnf(refute_0_507,plain,
multiply(multiply(X_131,X_130),X_129) = multiply(X_131,multiply(X_130,X_129)),
inference(resolve,[$cnf( $equal(multiply(X_131,multiply(X_130,X_129)),multiply(multiply(X_131,X_130),X_129)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_507:[bind(X_129,$fot(c3)),bind(X_130,$fot(b3)),bind(X_131,$fot(a3))]]) ).
cnf(refute_0_509,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_510,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_510,refute_0_359]) ).
cnf(refute_0_512,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_513,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_512,refute_0_511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP063-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 05:46:52 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.12/1.32 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.12/1.32
% 1.12/1.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.22/1.37
%------------------------------------------------------------------------------