TSTP Solution File: BOO024-1 by Metis---2.4

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : BOO024-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 23:45:46 EDT 2022

% Result   : Unsatisfiable 0.68s 0.87s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  172
%            Number of leaves      :  310
% Syntax   : Number of clauses     : 1220 ( 598 unt;   0 nHn; 633 RR)
%            Number of literals    : 2119 (2118 equ; 902 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   : 1667 ( 242 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(multiply_add,axiom,
    multiply(add(X,Y),Y) = Y ).

cnf(multiply_add_property,axiom,
    multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X)) ).

cnf(additive_inverse,axiom,
    add(X,inverse(X)) = n1 ).

cnf(pixley_defn,axiom,
    pixley(X,Y,Z) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) ).

cnf(pixley1,axiom,
    pixley(X,X,Y) = Y ).

cnf(pixley2,axiom,
    pixley(X,Y,Y) = X ).

cnf(pixley3,axiom,
    pixley(X,Y,X) = X ).

cnf(prove_add_multiply,negated_conjecture,
    add(multiply(a,b),b) != b ).

cnf(refute_0_0,plain,
    multiply(X,add(Y,X)) = add(multiply(Y,X),multiply(X,X)),
    inference(subst,[],[multiply_add_property:[bind(Z,$fot(X))]]) ).

cnf(refute_0_1,plain,
    multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)) = multiply(X_24,X_22),
    inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_23,X_22))),bind(Y,$fot(multiply(X_24,X_22)))]]) ).

cnf(refute_0_2,plain,
    multiply(X_22,add(X_23,X_24)) = add(multiply(X_23,X_22),multiply(X_24,X_22)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).

cnf(refute_0_3,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_4,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_5,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_3,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( multiply(X_22,add(X_23,X_24)) != add(multiply(X_23,X_22),multiply(X_24,X_22))
    | add(multiply(X_23,X_22),multiply(X_24,X_22)) = multiply(X_22,add(X_23,X_24)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_22,add(X_23,X_24)))),bind(Y0,$fot(add(multiply(X_23,X_22),multiply(X_24,X_22))))]]) ).

cnf(refute_0_7,plain,
    add(multiply(X_23,X_22),multiply(X_24,X_22)) = multiply(X_22,add(X_23,X_24)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X_23,X_24)),add(multiply(X_23,X_22),multiply(X_24,X_22))) )],[refute_0_2,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)) != multiply(X_24,X_22)
    | add(multiply(X_23,X_22),multiply(X_24,X_22)) != multiply(X_22,add(X_23,X_24))
    | multiply(multiply(X_22,add(X_23,X_24)),multiply(X_24,X_22)) = multiply(X_24,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)),multiply(X_24,X_22)) ),[0,0],$fot(multiply(X_22,add(X_23,X_24)))]]) ).

cnf(refute_0_9,plain,
    ( multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)) != multiply(X_24,X_22)
    | multiply(multiply(X_22,add(X_23,X_24)),multiply(X_24,X_22)) = multiply(X_24,X_22) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_22,add(X_23,X_24))) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    multiply(multiply(X_22,add(X_23,X_24)),multiply(X_24,X_22)) = multiply(X_24,X_22),
    inference(resolve,[$cnf( $equal(multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)),multiply(X_24,X_22)) )],[refute_0_1,refute_0_9]) ).

cnf(refute_0_11,plain,
    multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(n1,add(inverse(n1),X_107))) = multiply(n1,add(inverse(n1),X_107)),
    inference(subst,[],[refute_0_10:[bind(X_22,$fot(add(inverse(n1),X_107))),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_12,plain,
    multiply(n1,add(inverse(n1),Z)) = add(multiply(inverse(n1),n1),multiply(Z,n1)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(n1)),bind(Y,$fot(inverse(n1)))]]) ).

cnf(refute_0_13,plain,
    ( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
    | add(multiply(Y,X),multiply(Z,X)) = multiply(X,add(Y,Z)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,X),multiply(Z,X))))]]) ).

cnf(refute_0_14,plain,
    add(multiply(Y,X),multiply(Z,X)) = multiply(X,add(Y,Z)),
    inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) )],[multiply_add_property,refute_0_13]) ).

cnf(refute_0_15,plain,
    add(multiply(X,Z),multiply(inverse(Y),Z)) = multiply(Z,add(X,inverse(Y))),
    inference(subst,[],[refute_0_14:[bind(X,$fot(Z)),bind(Y,$fot(X)),bind(Z,$fot(inverse(Y)))]]) ).

cnf(refute_0_16,plain,
    add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),
    introduced(tautology,[refl,[$fot(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))))]]) ).

cnf(refute_0_17,plain,
    ( add(multiply(X,Z),multiply(inverse(Y),Z)) != multiply(Z,add(X,inverse(Y)))
    | add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
    | add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) ),[1,1],$fot(multiply(Z,add(X,inverse(Y))))]]) ).

cnf(refute_0_18,plain,
    ( add(multiply(X,Z),multiply(inverse(Y),Z)) != multiply(Z,add(X,inverse(Y)))
    | add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),
    inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(inverse(Y),Z)),multiply(Z,add(X,inverse(Y)))) )],[refute_0_15,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) != add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))
    | pixley(X,Y,Z) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
    | pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(X,Y,Z),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) ),[1],$fot(add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))))]]) ).

cnf(refute_0_21,plain,
    ( pixley(X,Y,Z) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
    | pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),
    inference(resolve,[$cnf( $equal(pixley(X,Y,Z),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) )],[pixley_defn,refute_0_21]) ).

cnf(refute_0_23,plain,
    pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11)))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(X_11)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_24,plain,
    add(X_11,inverse(X_11)) = n1,
    inference(subst,[],[additive_inverse:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_25,plain,
    ( add(X_11,inverse(X_11)) != n1
    | pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))
    | pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))) ),[1,1,1],$fot(n1)]]) ).

cnf(refute_0_26,plain,
    ( pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))
    | pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
    inference(resolve,[$cnf( $equal(add(X_11,inverse(X_11)),n1) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),
    inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))) )],[refute_0_23,refute_0_26]) ).

cnf(refute_0_28,plain,
    pixley(X_11,X_11,X_12) = X_12,
    inference(subst,[],[pixley1:[bind(X,$fot(X_11)),bind(Y,$fot(X_12))]]) ).

cnf(refute_0_29,plain,
    ( pixley(X_11,X_11,X_12) != X_12
    | pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
    | X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) ),[0],$fot(X_12)]]) ).

cnf(refute_0_30,plain,
    ( pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
    | X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
    inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),X_12) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),
    inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) )],[refute_0_27,refute_0_30]) ).

cnf(refute_0_32,plain,
    multiply(inverse(n1),n1) = add(multiply(X_11,inverse(X_11)),multiply(multiply(inverse(n1),n1),n1)),
    inference(subst,[],[refute_0_31:[bind(X_12,$fot(multiply(inverse(n1),n1)))]]) ).

cnf(refute_0_33,plain,
    multiply(X_22,add(add(X,X_22),X_24)) = add(multiply(add(X,X_22),X_22),multiply(X_24,X_22)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(add(X,X_22))),bind(Z,$fot(X_24))]]) ).

cnf(refute_0_34,plain,
    multiply(add(X,X_22),X_22) = X_22,
    inference(subst,[],[multiply_add:[bind(Y,$fot(X_22))]]) ).

cnf(refute_0_35,plain,
    ( multiply(X_22,add(add(X,X_22),X_24)) != add(multiply(add(X,X_22),X_22),multiply(X_24,X_22))
    | multiply(add(X,X_22),X_22) != X_22
    | multiply(X_22,add(add(X,X_22),X_24)) = add(X_22,multiply(X_24,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,add(add(X,X_22),X_24)),add(multiply(add(X,X_22),X_22),multiply(X_24,X_22))) ),[1,0],$fot(X_22)]]) ).

cnf(refute_0_36,plain,
    ( multiply(X_22,add(add(X,X_22),X_24)) != add(multiply(add(X,X_22),X_22),multiply(X_24,X_22))
    | multiply(X_22,add(add(X,X_22),X_24)) = add(X_22,multiply(X_24,X_22)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,X_22),X_22),X_22) )],[refute_0_34,refute_0_35]) ).

cnf(refute_0_37,plain,
    multiply(X_22,add(add(X,X_22),X_24)) = add(X_22,multiply(X_24,X_22)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(add(X,X_22),X_24)),add(multiply(add(X,X_22),X_22),multiply(X_24,X_22))) )],[refute_0_33,refute_0_36]) ).

cnf(refute_0_38,plain,
    multiply(X_31,add(add(X_30,X_31),inverse(add(X_30,X_31)))) = add(X_31,multiply(inverse(add(X_30,X_31)),X_31)),
    inference(subst,[],[refute_0_37:[bind(X,$fot(X_30)),bind(X_22,$fot(X_31)),bind(X_24,$fot(inverse(add(X_30,X_31))))]]) ).

cnf(refute_0_39,plain,
    add(add(X_30,X_31),inverse(add(X_30,X_31))) = n1,
    inference(subst,[],[additive_inverse:[bind(X,$fot(add(X_30,X_31)))]]) ).

cnf(refute_0_40,plain,
    ( multiply(X_31,add(add(X_30,X_31),inverse(add(X_30,X_31)))) != add(X_31,multiply(inverse(add(X_30,X_31)),X_31))
    | add(add(X_30,X_31),inverse(add(X_30,X_31))) != n1
    | multiply(X_31,n1) = add(X_31,multiply(inverse(add(X_30,X_31)),X_31)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,add(add(X_30,X_31),inverse(add(X_30,X_31)))),add(X_31,multiply(inverse(add(X_30,X_31)),X_31))) ),[0,1],$fot(n1)]]) ).

cnf(refute_0_41,plain,
    ( multiply(X_31,add(add(X_30,X_31),inverse(add(X_30,X_31)))) != add(X_31,multiply(inverse(add(X_30,X_31)),X_31))
    | multiply(X_31,n1) = add(X_31,multiply(inverse(add(X_30,X_31)),X_31)) ),
    inference(resolve,[$cnf( $equal(add(add(X_30,X_31),inverse(add(X_30,X_31))),n1) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    multiply(X_31,n1) = add(X_31,multiply(inverse(add(X_30,X_31)),X_31)),
    inference(resolve,[$cnf( $equal(multiply(X_31,add(add(X_30,X_31),inverse(add(X_30,X_31)))),add(X_31,multiply(inverse(add(X_30,X_31)),X_31))) )],[refute_0_38,refute_0_41]) ).

cnf(refute_0_43,plain,
    multiply(multiply(X_54,n1),n1) = add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))),
    inference(subst,[],[refute_0_42:[bind(X_31,$fot(multiply(X_54,n1)))]]) ).

cnf(refute_0_44,plain,
    multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_23,n1))),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).

cnf(refute_0_45,plain,
    multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)) = multiply(X_15,n1),
    inference(subst,[],[multiply_add:[bind(X,$fot(inverse(n1))),bind(Y,$fot(multiply(X_15,n1)))]]) ).

cnf(refute_0_46,plain,
    pixley(n1,X_11,X_12) = add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11)))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(n1)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_47,plain,
    multiply(add(X,inverse(X)),inverse(X)) = inverse(X),
    inference(subst,[],[multiply_add:[bind(Y,$fot(inverse(X)))]]) ).

cnf(refute_0_48,plain,
    ( multiply(add(X,inverse(X)),inverse(X)) != inverse(X)
    | add(X,inverse(X)) != n1
    | multiply(n1,inverse(X)) = inverse(X) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,inverse(X)),inverse(X)),inverse(X)) ),[0,0],$fot(n1)]]) ).

cnf(refute_0_49,plain,
    ( multiply(add(X,inverse(X)),inverse(X)) != inverse(X)
    | multiply(n1,inverse(X)) = inverse(X) ),
    inference(resolve,[$cnf( $equal(add(X,inverse(X)),n1) )],[additive_inverse,refute_0_48]) ).

cnf(refute_0_50,plain,
    multiply(n1,inverse(X)) = inverse(X),
    inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X)),inverse(X)),inverse(X)) )],[refute_0_47,refute_0_49]) ).

cnf(refute_0_51,plain,
    multiply(n1,inverse(X_11)) = inverse(X_11),
    inference(subst,[],[refute_0_50:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_52,plain,
    ( multiply(n1,inverse(X_11)) != inverse(X_11)
    | pixley(n1,X_11,X_12) != add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))
    | pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,X_11,X_12),add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_53,plain,
    ( pixley(n1,X_11,X_12) != add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))
    | pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_11)),inverse(X_11)) )],[refute_0_51,refute_0_52]) ).

cnf(refute_0_54,plain,
    pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))),
    inference(resolve,[$cnf( $equal(pixley(n1,X_11,X_12),add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))) )],[refute_0_46,refute_0_53]) ).

cnf(refute_0_55,plain,
    pixley(n1,n1,X_14) = add(inverse(n1),multiply(X_14,add(n1,inverse(n1)))),
    inference(subst,[],[refute_0_54:[bind(X_11,$fot(n1)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_56,plain,
    add(n1,inverse(n1)) = n1,
    inference(subst,[],[additive_inverse:[bind(X,$fot(n1))]]) ).

cnf(refute_0_57,plain,
    ( add(n1,inverse(n1)) != n1
    | pixley(n1,n1,X_14) != add(inverse(n1),multiply(X_14,add(n1,inverse(n1))))
    | pixley(n1,n1,X_14) = add(inverse(n1),multiply(X_14,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,add(n1,inverse(n1))))) ),[1,1,1],$fot(n1)]]) ).

cnf(refute_0_58,plain,
    ( pixley(n1,n1,X_14) != add(inverse(n1),multiply(X_14,add(n1,inverse(n1))))
    | pixley(n1,n1,X_14) = add(inverse(n1),multiply(X_14,n1)) ),
    inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    pixley(n1,n1,X_14) = add(inverse(n1),multiply(X_14,n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,add(n1,inverse(n1))))) )],[refute_0_55,refute_0_58]) ).

cnf(refute_0_60,plain,
    pixley(n1,n1,X_14) = X_14,
    inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(X_14))]]) ).

cnf(refute_0_61,plain,
    ( pixley(n1,n1,X_14) != X_14
    | pixley(n1,n1,X_14) != add(inverse(n1),multiply(X_14,n1))
    | X_14 = add(inverse(n1),multiply(X_14,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,n1))) ),[0],$fot(X_14)]]) ).

cnf(refute_0_62,plain,
    ( pixley(n1,n1,X_14) != add(inverse(n1),multiply(X_14,n1))
    | X_14 = add(inverse(n1),multiply(X_14,n1)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,n1,X_14),X_14) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    X_14 = add(inverse(n1),multiply(X_14,n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,n1))) )],[refute_0_59,refute_0_62]) ).

cnf(refute_0_64,plain,
    X_15 = add(inverse(n1),multiply(X_15,n1)),
    inference(subst,[],[refute_0_63:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_65,plain,
    ( X_15 != add(inverse(n1),multiply(X_15,n1))
    | add(inverse(n1),multiply(X_15,n1)) = X_15 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(X_15)),bind(Y0,$fot(add(inverse(n1),multiply(X_15,n1))))]]) ).

cnf(refute_0_66,plain,
    add(inverse(n1),multiply(X_15,n1)) = X_15,
    inference(resolve,[$cnf( $equal(X_15,add(inverse(n1),multiply(X_15,n1))) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)) != multiply(X_15,n1)
    | add(inverse(n1),multiply(X_15,n1)) != X_15
    | multiply(X_15,multiply(X_15,n1)) = multiply(X_15,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)),multiply(X_15,n1)) ),[0,0],$fot(X_15)]]) ).

cnf(refute_0_68,plain,
    ( multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)) != multiply(X_15,n1)
    | multiply(X_15,multiply(X_15,n1)) = multiply(X_15,n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_15,n1)),X_15) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    multiply(X_15,multiply(X_15,n1)) = multiply(X_15,n1),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)),multiply(X_15,n1)) )],[refute_0_45,refute_0_68]) ).

cnf(refute_0_70,plain,
    multiply(X_23,multiply(X_23,n1)) = multiply(X_23,n1),
    inference(subst,[],[refute_0_69:[bind(X_15,$fot(X_23))]]) ).

cnf(refute_0_71,plain,
    ( multiply(X_23,multiply(X_23,n1)) != multiply(X_23,n1)
    | multiply(multiply(X_23,n1),add(X_23,X_24)) != add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1)))
    | multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_23,X_24)),add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1)))) ),[1,0],$fot(multiply(X_23,n1))]]) ).

cnf(refute_0_72,plain,
    ( multiply(multiply(X_23,n1),add(X_23,X_24)) != add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1)))
    | multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(X_23,multiply(X_23,n1)),multiply(X_23,n1)) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_23,X_24)),add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1)))) )],[refute_0_44,refute_0_72]) ).

cnf(refute_0_74,plain,
    multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))) = add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))),
    inference(subst,[],[refute_0_73:[bind(X_23,$fot(X_54)),bind(X_24,$fot(inverse(add(X_30,multiply(X_54,n1)))))]]) ).

cnf(refute_0_75,plain,
    ( multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))) != add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1)))
    | add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))) = multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))))),bind(Y0,$fot(add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1)))))]]) ).

cnf(refute_0_76,plain,
    add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))) = multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))),add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1)))) )],[refute_0_74,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( multiply(multiply(X_54,n1),n1) != add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1)))
    | add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))) != multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1)))))
    | multiply(multiply(X_54,n1),n1) = multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_54,n1),n1),multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1)))))) ),[0],$fot(add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))))]]) ).

cnf(refute_0_78,plain,
    ( multiply(multiply(X_54,n1),n1) != add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1)))
    | multiply(multiply(X_54,n1),n1) = multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1))),multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1)))))) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    multiply(multiply(X_54,n1),n1) = multiply(multiply(X_54,n1),add(X_54,inverse(add(X_30,multiply(X_54,n1))))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_54,n1),n1),add(multiply(X_54,n1),multiply(inverse(add(X_30,multiply(X_54,n1))),multiply(X_54,n1)))) )],[refute_0_43,refute_0_78]) ).

cnf(refute_0_80,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(add(n1,multiply(inverse(add(X_30,n1)),n1))))),
    inference(subst,[],[refute_0_79:[bind(X_30,$fot(n1)),bind(X_54,$fot(inverse(add(X_30,n1))))]]) ).

cnf(refute_0_81,plain,
    multiply(n1,n1) = add(n1,multiply(inverse(add(X_30,n1)),n1)),
    inference(subst,[],[refute_0_42:[bind(X_31,$fot(n1))]]) ).

cnf(refute_0_82,plain,
    ( multiply(n1,n1) != add(n1,multiply(inverse(add(X_30,n1)),n1))
    | add(n1,multiply(inverse(add(X_30,n1)),n1)) = multiply(n1,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,n1))),bind(Y0,$fot(add(n1,multiply(inverse(add(X_30,n1)),n1))))]]) ).

cnf(refute_0_83,plain,
    add(n1,multiply(inverse(add(X_30,n1)),n1)) = multiply(n1,n1),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),add(n1,multiply(inverse(add(X_30,n1)),n1))) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(add(n1,multiply(inverse(add(X_30,n1)),n1)))))
    | add(n1,multiply(inverse(add(X_30,n1)),n1)) != multiply(n1,n1)
    | multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(add(n1,multiply(inverse(add(X_30,n1)),n1)))))) ),[1,1,1,0],$fot(multiply(n1,n1))]]) ).

cnf(refute_0_85,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(add(n1,multiply(inverse(add(X_30,n1)),n1)))))
    | multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),
    inference(resolve,[$cnf( $equal(add(n1,multiply(inverse(add(X_30,n1)),n1)),multiply(n1,n1)) )],[refute_0_83,refute_0_84]) ).

cnf(refute_0_86,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(add(n1,multiply(inverse(add(X_30,n1)),n1)))))) )],[refute_0_80,refute_0_85]) ).

cnf(refute_0_87,plain,
    multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)) = add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))),
    inference(subst,[],[refute_0_37:[bind(X_22,$fot(add(X_43,add(X_44,n1)))),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_88,plain,
    multiply(add(X,add(X_27,n1)),add(X_27,n1)) = add(X_27,n1),
    inference(subst,[],[multiply_add:[bind(Y,$fot(add(X_27,n1)))]]) ).

cnf(refute_0_89,plain,
    multiply(X_22,add(X_23,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(n1))]]) ).

cnf(refute_0_90,plain,
    add(X,n1) = add(inverse(n1),multiply(add(X,n1),n1)),
    inference(subst,[],[refute_0_63:[bind(X_14,$fot(add(X,n1)))]]) ).

cnf(refute_0_91,plain,
    multiply(add(X,n1),n1) = n1,
    inference(subst,[],[multiply_add:[bind(Y,$fot(n1))]]) ).

cnf(refute_0_92,plain,
    ( multiply(add(X,n1),n1) != n1
    | add(X,n1) != add(inverse(n1),multiply(add(X,n1),n1))
    | add(X,n1) = add(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X,n1),add(inverse(n1),multiply(add(X,n1),n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_93,plain,
    ( add(X,n1) != add(inverse(n1),multiply(add(X,n1),n1))
    | add(X,n1) = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,n1),n1),n1) )],[refute_0_91,refute_0_92]) ).

cnf(refute_0_94,plain,
    add(X,n1) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),multiply(add(X,n1),n1))) )],[refute_0_90,refute_0_93]) ).

cnf(refute_0_95,plain,
    add(X_16,n1) = add(inverse(n1),n1),
    inference(subst,[],[refute_0_94:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_96,plain,
    ( add(X_16,n1) != add(inverse(n1),n1)
    | add(inverse(n1),n1) = add(X_16,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(X_16,n1))),bind(Y0,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_97,plain,
    add(inverse(n1),n1) = add(X_16,n1),
    inference(resolve,[$cnf( $equal(add(X_16,n1),add(inverse(n1),n1)) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( add(X,n1) != add(inverse(n1),n1)
    | add(inverse(n1),n1) != add(X_16,n1)
    | add(X,n1) = add(X_16,n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X,n1),add(X_16,n1)) ),[0],$fot(add(inverse(n1),n1))]]) ).

cnf(refute_0_99,plain,
    ( add(X,n1) != add(inverse(n1),n1)
    | add(X,n1) = add(X_16,n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X_16,n1)) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    add(X,n1) = add(X_16,n1),
    inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),n1)) )],[refute_0_94,refute_0_99]) ).

cnf(refute_0_101,plain,
    add(X,n1) = add(X_23,n1),
    inference(subst,[],[refute_0_100:[bind(X_16,$fot(X_23))]]) ).

cnf(refute_0_102,plain,
    ( add(X,n1) != add(X_23,n1)
    | add(X_23,n1) = add(X,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(X_23,n1)))]]) ).

cnf(refute_0_103,plain,
    add(X_23,n1) = add(X,n1),
    inference(resolve,[$cnf( $equal(add(X,n1),add(X_23,n1)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    ( multiply(X_22,add(X_23,n1)) != add(multiply(X_23,X_22),multiply(n1,X_22))
    | add(X_23,n1) != add(X,n1)
    | multiply(X_22,add(X,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,add(X_23,n1)),add(multiply(X_23,X_22),multiply(n1,X_22))) ),[0,1],$fot(add(X,n1))]]) ).

cnf(refute_0_105,plain,
    ( multiply(X_22,add(X_23,n1)) != add(multiply(X_23,X_22),multiply(n1,X_22))
    | multiply(X_22,add(X,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)) ),
    inference(resolve,[$cnf( $equal(add(X_23,n1),add(X,n1)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    multiply(X_22,add(X,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X_23,n1)),add(multiply(X_23,X_22),multiply(n1,X_22))) )],[refute_0_89,refute_0_105]) ).

cnf(refute_0_107,plain,
    add(multiply(X_23,X_22),multiply(n1,X_22)) = multiply(X_22,add(X_23,n1)),
    inference(subst,[],[refute_0_14:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(n1))]]) ).

cnf(refute_0_108,plain,
    ( multiply(X_22,add(X,n1)) != add(multiply(X_23,X_22),multiply(n1,X_22))
    | add(multiply(X_23,X_22),multiply(n1,X_22)) != multiply(X_22,add(X_23,n1))
    | multiply(X_22,add(X,n1)) = multiply(X_22,add(X_23,n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,add(X,n1)),multiply(X_22,add(X_23,n1))) ),[0],$fot(add(multiply(X_23,X_22),multiply(n1,X_22)))]]) ).

cnf(refute_0_109,plain,
    ( multiply(X_22,add(X,n1)) != add(multiply(X_23,X_22),multiply(n1,X_22))
    | multiply(X_22,add(X,n1)) = multiply(X_22,add(X_23,n1)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_23,X_22),multiply(n1,X_22)),multiply(X_22,add(X_23,n1))) )],[refute_0_107,refute_0_108]) ).

cnf(refute_0_110,plain,
    multiply(X_22,add(X,n1)) = multiply(X_22,add(X_23,n1)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(multiply(X_23,X_22),multiply(n1,X_22))) )],[refute_0_106,refute_0_109]) ).

cnf(refute_0_111,plain,
    multiply(add(X,add(X_27,n1)),add(X_27,n1)) = multiply(add(X,add(X_27,n1)),add(X_29,n1)),
    inference(subst,[],[refute_0_110:[bind(X,$fot(X_27)),bind(X_22,$fot(add(X,add(X_27,n1)))),bind(X_23,$fot(X_29))]]) ).

cnf(refute_0_112,plain,
    ( multiply(add(X,add(X_27,n1)),add(X_27,n1)) != multiply(add(X,add(X_27,n1)),add(X_29,n1))
    | multiply(add(X,add(X_27,n1)),add(X_27,n1)) != add(X_27,n1)
    | multiply(add(X,add(X_27,n1)),add(X_29,n1)) = add(X_27,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,add(X_27,n1)),add(X_27,n1)),add(X_27,n1)) ),[0],$fot(multiply(add(X,add(X_27,n1)),add(X_29,n1)))]]) ).

cnf(refute_0_113,plain,
    ( multiply(add(X,add(X_27,n1)),add(X_27,n1)) != add(X_27,n1)
    | multiply(add(X,add(X_27,n1)),add(X_29,n1)) = add(X_27,n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,add(X_27,n1)),add(X_27,n1)),multiply(add(X,add(X_27,n1)),add(X_29,n1))) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    multiply(add(X,add(X_27,n1)),add(X_29,n1)) = add(X_27,n1),
    inference(resolve,[$cnf( $equal(multiply(add(X,add(X_27,n1)),add(X_27,n1)),add(X_27,n1)) )],[refute_0_88,refute_0_113]) ).

cnf(refute_0_115,plain,
    multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)) = add(X_44,n1),
    inference(subst,[],[refute_0_114:[bind(X,$fot(X_43)),bind(X_27,$fot(X_44)),bind(X_29,$fot(add(X,add(X_43,add(X_44,n1)))))]]) ).

cnf(refute_0_116,plain,
    ( multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)) != add(X_44,n1)
    | multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)) != add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))
    | add(X_44,n1) = add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)),add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))) ),[0],$fot(add(X_44,n1))]]) ).

cnf(refute_0_117,plain,
    ( multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)) != add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))
    | add(X_44,n1) = add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)),add(X_44,n1)) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    add(X_44,n1) = add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))),
    inference(resolve,[$cnf( $equal(multiply(add(X_43,add(X_44,n1)),add(add(X,add(X_43,add(X_44,n1))),n1)),add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))) )],[refute_0_87,refute_0_117]) ).

cnf(refute_0_119,plain,
    add(multiply(X_43,n1),n1) = add(inverse(n1),n1),
    inference(subst,[],[refute_0_94:[bind(X,$fot(multiply(X_43,n1)))]]) ).

cnf(refute_0_120,plain,
    multiply(X_22,add(X_23,add(X,X_22))) = add(multiply(X_23,X_22),multiply(add(X,X_22),X_22)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(add(X,X_22)))]]) ).

cnf(refute_0_121,plain,
    ( multiply(X_22,add(X_23,add(X,X_22))) != add(multiply(X_23,X_22),multiply(add(X,X_22),X_22))
    | multiply(add(X,X_22),X_22) != X_22
    | multiply(X_22,add(X_23,add(X,X_22))) = add(multiply(X_23,X_22),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,add(X_23,add(X,X_22))),add(multiply(X_23,X_22),multiply(add(X,X_22),X_22))) ),[1,1],$fot(X_22)]]) ).

cnf(refute_0_122,plain,
    ( multiply(X_22,add(X_23,add(X,X_22))) != add(multiply(X_23,X_22),multiply(add(X,X_22),X_22))
    | multiply(X_22,add(X_23,add(X,X_22))) = add(multiply(X_23,X_22),X_22) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,X_22),X_22),X_22) )],[refute_0_34,refute_0_121]) ).

cnf(refute_0_123,plain,
    multiply(X_22,add(X_23,add(X,X_22))) = add(multiply(X_23,X_22),X_22),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X_23,add(X,X_22))),add(multiply(X_23,X_22),multiply(add(X,X_22),X_22))) )],[refute_0_120,refute_0_122]) ).

cnf(refute_0_124,plain,
    multiply(n1,add(X_43,add(X_44,n1))) = add(multiply(X_43,n1),n1),
    inference(subst,[],[refute_0_123:[bind(X,$fot(X_44)),bind(X_22,$fot(n1)),bind(X_23,$fot(X_43))]]) ).

cnf(refute_0_125,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_126,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_5,refute_0_125]) ).

cnf(refute_0_127,plain,
    ( multiply(n1,add(X_43,add(X_44,n1))) != add(multiply(X_43,n1),n1)
    | add(multiply(X_43,n1),n1) != add(inverse(n1),n1)
    | multiply(n1,add(X_43,add(X_44,n1))) = add(inverse(n1),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(n1,add(X_43,add(X_44,n1))))),bind(Y0,$fot(add(multiply(X_43,n1),n1))),bind(Z0,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_128,plain,
    ( add(multiply(X_43,n1),n1) != add(inverse(n1),n1)
    | multiply(n1,add(X_43,add(X_44,n1))) = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X_43,add(X_44,n1))),add(multiply(X_43,n1),n1)) )],[refute_0_124,refute_0_127]) ).

cnf(refute_0_129,plain,
    multiply(n1,add(X_43,add(X_44,n1))) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(multiply(X_43,n1),n1),add(inverse(n1),n1)) )],[refute_0_119,refute_0_128]) ).

cnf(refute_0_130,plain,
    add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) = add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))),
    introduced(tautology,[refl,[$fot(add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))))]]) ).

cnf(refute_0_131,plain,
    ( multiply(n1,add(X_43,add(X_44,n1))) != add(inverse(n1),n1)
    | add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) != add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))
    | add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))),add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))) ),[1,1],$fot(add(inverse(n1),n1))]]) ).

cnf(refute_0_132,plain,
    ( multiply(n1,add(X_43,add(X_44,n1))) != add(inverse(n1),n1)
    | add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) ),
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))),add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X_43,add(X_44,n1))),add(inverse(n1),n1)) )],[refute_0_129,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( add(X_44,n1) != add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))
    | add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))) != add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))
    | add(X_44,n1) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X_44,n1),add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))) ),[0],$fot(add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))))]]) ).

cnf(refute_0_135,plain,
    ( add(X_44,n1) != add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))
    | add(X_44,n1) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) ),
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1)))),add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    add(X_44,n1) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),
    inference(resolve,[$cnf( $equal(add(X_44,n1),add(add(X_43,add(X_44,n1)),multiply(n1,add(X_43,add(X_44,n1))))) )],[refute_0_118,refute_0_135]) ).

cnf(refute_0_137,plain,
    pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1)))))),
    inference(subst,[],[refute_0_54:[bind(X_11,$fot(add(X_56,multiply(n1,n1)))),bind(X_12,$fot(multiply(n1,n1)))]]) ).

cnf(refute_0_138,plain,
    multiply(multiply(n1,n1),n1) = multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))),
    inference(subst,[],[refute_0_79:[bind(X_30,$fot(X_56)),bind(X_54,$fot(n1))]]) ).

cnf(refute_0_139,plain,
    ( multiply(multiply(n1,n1),n1) != multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1)))))
    | multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))) = multiply(multiply(n1,n1),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(multiply(n1,n1),n1))),bind(Y0,$fot(multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1)))))))]]) ).

cnf(refute_0_140,plain,
    multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))) = multiply(multiply(n1,n1),n1),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),n1),multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1)))))) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    ( multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))) != multiply(multiply(n1,n1),n1)
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))))
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))))) ),[1,1],$fot(multiply(multiply(n1,n1),n1))]]) ).

cnf(refute_0_142,plain,
    ( pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))))
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))),multiply(multiply(n1,n1),n1)) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),add(n1,inverse(add(X_56,multiply(n1,n1))))))) )],[refute_0_137,refute_0_142]) ).

cnf(refute_0_144,plain,
    pixley(n1,add(X_56,n1),n1) = n1,
    inference(subst,[],[pixley3:[bind(X,$fot(n1)),bind(Y,$fot(add(X_56,n1)))]]) ).

cnf(refute_0_145,plain,
    multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))),
    inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_10,inverse(X_11)))),bind(Y,$fot(multiply(X_12,add(X_10,inverse(X_11)))))]]) ).

cnf(refute_0_146,plain,
    pixley(X_10,X_11,X_12) = add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_147,plain,
    ( pixley(X_10,X_11,X_12) != add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))
    | add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) = pixley(X_10,X_11,X_12) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(pixley(X_10,X_11,X_12))),bind(Y0,$fot(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))))]]) ).

cnf(refute_0_148,plain,
    add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) = pixley(X_10,X_11,X_12),
    inference(resolve,[$cnf( $equal(pixley(X_10,X_11,X_12),add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))) )],[refute_0_146,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) != multiply(X_12,add(X_10,inverse(X_11)))
    | add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) != pixley(X_10,X_11,X_12)
    | multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) ),[0,0],$fot(pixley(X_10,X_11,X_12))]]) ).

cnf(refute_0_150,plain,
    ( multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) != multiply(X_12,add(X_10,inverse(X_11)))
    | multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),pixley(X_10,X_11,X_12)) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))),
    inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) )],[refute_0_145,refute_0_150]) ).

cnf(refute_0_152,plain,
    multiply(pixley(X_60,X_62,X_62),multiply(X_62,add(X_60,inverse(X_62)))) = multiply(X_62,add(X_60,inverse(X_62))),
    inference(subst,[],[refute_0_151:[bind(X_10,$fot(X_60)),bind(X_11,$fot(X_62)),bind(X_12,$fot(X_62))]]) ).

cnf(refute_0_153,plain,
    pixley(X_60,X_62,X_62) = X_60,
    inference(subst,[],[pixley2:[bind(X,$fot(X_60)),bind(Y,$fot(X_62))]]) ).

cnf(refute_0_154,plain,
    ( multiply(pixley(X_60,X_62,X_62),multiply(X_62,add(X_60,inverse(X_62)))) != multiply(X_62,add(X_60,inverse(X_62)))
    | pixley(X_60,X_62,X_62) != X_60
    | multiply(X_60,multiply(X_62,add(X_60,inverse(X_62)))) = multiply(X_62,add(X_60,inverse(X_62))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_60,X_62,X_62),multiply(X_62,add(X_60,inverse(X_62)))),multiply(X_62,add(X_60,inverse(X_62)))) ),[0,0],$fot(X_60)]]) ).

cnf(refute_0_155,plain,
    ( multiply(pixley(X_60,X_62,X_62),multiply(X_62,add(X_60,inverse(X_62)))) != multiply(X_62,add(X_60,inverse(X_62)))
    | multiply(X_60,multiply(X_62,add(X_60,inverse(X_62)))) = multiply(X_62,add(X_60,inverse(X_62))) ),
    inference(resolve,[$cnf( $equal(pixley(X_60,X_62,X_62),X_60) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    multiply(X_60,multiply(X_62,add(X_60,inverse(X_62)))) = multiply(X_62,add(X_60,inverse(X_62))),
    inference(resolve,[$cnf( $equal(multiply(pixley(X_60,X_62,X_62),multiply(X_62,add(X_60,inverse(X_62)))),multiply(X_62,add(X_60,inverse(X_62)))) )],[refute_0_152,refute_0_155]) ).

cnf(refute_0_157,plain,
    multiply(n1,multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) = multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))),
    inference(subst,[],[refute_0_156:[bind(X_60,$fot(n1)),bind(X_62,$fot(add(n1,n1)))]]) ).

cnf(refute_0_158,plain,
    multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(add(X_75,n1),add(n1,n1))),add(n1,n1))),
    inference(subst,[],[refute_0_42:[bind(X_30,$fot(add(X_75,n1))),bind(X_31,$fot(add(n1,n1)))]]) ).

cnf(refute_0_159,plain,
    multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1),
    inference(subst,[],[refute_0_123:[bind(X_22,$fot(n1)),bind(X_23,$fot(multiply(inverse(inverse(n1)),add(X,n1))))]]) ).

cnf(refute_0_160,plain,
    multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),
    inference(subst,[],[refute_0_123:[bind(X,$fot(X_40)),bind(X_22,$fot(add(X,n1))),bind(X_23,$fot(inverse(inverse(n1))))]]) ).

cnf(refute_0_161,plain,
    multiply(X_22,add(inverse(n1),n1)) = add(multiply(inverse(n1),X_22),multiply(n1,X_22)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(inverse(n1))),bind(Z,$fot(n1))]]) ).

cnf(refute_0_162,plain,
    ( add(X,n1) != add(inverse(n1),n1)
    | add(inverse(n1),n1) = add(X,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_163,plain,
    add(inverse(n1),n1) = add(X,n1),
    inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),n1)) )],[refute_0_94,refute_0_162]) ).

cnf(refute_0_164,plain,
    ( multiply(X_22,add(inverse(n1),n1)) != add(multiply(inverse(n1),X_22),multiply(n1,X_22))
    | add(inverse(n1),n1) != add(X,n1)
    | multiply(X_22,add(X,n1)) = add(multiply(inverse(n1),X_22),multiply(n1,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,add(inverse(n1),n1)),add(multiply(inverse(n1),X_22),multiply(n1,X_22))) ),[0,1],$fot(add(X,n1))]]) ).

cnf(refute_0_165,plain,
    ( multiply(X_22,add(inverse(n1),n1)) != add(multiply(inverse(n1),X_22),multiply(n1,X_22))
    | multiply(X_22,add(X,n1)) = add(multiply(inverse(n1),X_22),multiply(n1,X_22)) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    multiply(X_22,add(X,n1)) = add(multiply(inverse(n1),X_22),multiply(n1,X_22)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(inverse(n1),n1)),add(multiply(inverse(n1),X_22),multiply(n1,X_22))) )],[refute_0_161,refute_0_165]) ).

cnf(refute_0_167,plain,
    add(multiply(inverse(n1),X_22),multiply(n1,X_22)) = multiply(X_22,add(inverse(n1),n1)),
    inference(subst,[],[refute_0_14:[bind(X,$fot(X_22)),bind(Y,$fot(inverse(n1))),bind(Z,$fot(n1))]]) ).

cnf(refute_0_168,plain,
    ( multiply(X_22,add(X,n1)) != add(multiply(inverse(n1),X_22),multiply(n1,X_22))
    | add(multiply(inverse(n1),X_22),multiply(n1,X_22)) != multiply(X_22,add(inverse(n1),n1))
    | multiply(X_22,add(X,n1)) = multiply(X_22,add(inverse(n1),n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,add(X,n1)),multiply(X_22,add(inverse(n1),n1))) ),[0],$fot(add(multiply(inverse(n1),X_22),multiply(n1,X_22)))]]) ).

cnf(refute_0_169,plain,
    ( multiply(X_22,add(X,n1)) != add(multiply(inverse(n1),X_22),multiply(n1,X_22))
    | multiply(X_22,add(X,n1)) = multiply(X_22,add(inverse(n1),n1)) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),X_22),multiply(n1,X_22)),multiply(X_22,add(inverse(n1),n1))) )],[refute_0_167,refute_0_168]) ).

cnf(refute_0_170,plain,
    multiply(X_22,add(X,n1)) = multiply(X_22,add(inverse(n1),n1)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(multiply(inverse(n1),X_22),multiply(n1,X_22))) )],[refute_0_166,refute_0_169]) ).

cnf(refute_0_171,plain,
    multiply(inverse(inverse(n1)),add(X,n1)) = multiply(inverse(inverse(n1)),add(inverse(n1),n1)),
    inference(subst,[],[refute_0_170:[bind(X_22,$fot(inverse(inverse(n1))))]]) ).

cnf(refute_0_172,plain,
    multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = add(inverse(X),multiply(n1,inverse(X))),
    inference(subst,[],[refute_0_37:[bind(X,$fot(X_30)),bind(X_22,$fot(inverse(X))),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_173,plain,
    ( multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != add(inverse(X),multiply(n1,inverse(X)))
    | multiply(n1,inverse(X)) != inverse(X)
    | multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = add(inverse(X),inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),multiply(n1,inverse(X)))) ),[1,1],$fot(inverse(X))]]) ).

cnf(refute_0_174,plain,
    ( multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != add(inverse(X),multiply(n1,inverse(X)))
    | multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = add(inverse(X),inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_50,refute_0_173]) ).

cnf(refute_0_175,plain,
    multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = add(inverse(X),inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),multiply(n1,inverse(X)))) )],[refute_0_172,refute_0_174]) ).

cnf(refute_0_176,plain,
    multiply(X_22,add(X,n1)) = multiply(X_22,add(add(X_30,X_22),n1)),
    inference(subst,[],[refute_0_110:[bind(X_23,$fot(add(X_30,X_22)))]]) ).

cnf(refute_0_177,plain,
    multiply(X_22,add(add(X_30,X_22),n1)) = add(X_22,multiply(n1,X_22)),
    inference(subst,[],[refute_0_37:[bind(X,$fot(X_30)),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_178,plain,
    ( multiply(X_22,add(X,n1)) != multiply(X_22,add(add(X_30,X_22),n1))
    | multiply(X_22,add(add(X_30,X_22),n1)) != add(X_22,multiply(n1,X_22))
    | multiply(X_22,add(X,n1)) = add(X_22,multiply(n1,X_22)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,add(X,n1)),add(X_22,multiply(n1,X_22))) ),[0],$fot(multiply(X_22,add(add(X_30,X_22),n1)))]]) ).

cnf(refute_0_179,plain,
    ( multiply(X_22,add(X,n1)) != multiply(X_22,add(add(X_30,X_22),n1))
    | multiply(X_22,add(X,n1)) = add(X_22,multiply(n1,X_22)) ),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(add(X_30,X_22),n1)),add(X_22,multiply(n1,X_22))) )],[refute_0_177,refute_0_178]) ).

cnf(refute_0_180,plain,
    multiply(X_22,add(X,n1)) = add(X_22,multiply(n1,X_22)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),multiply(X_22,add(add(X_30,X_22),n1))) )],[refute_0_176,refute_0_179]) ).

cnf(refute_0_181,plain,
    ( multiply(X_22,add(X,n1)) != add(X_22,multiply(n1,X_22))
    | add(X_22,multiply(n1,X_22)) = multiply(X_22,add(X,n1)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_22,add(X,n1)))),bind(Y0,$fot(add(X_22,multiply(n1,X_22))))]]) ).

cnf(refute_0_182,plain,
    add(X_22,multiply(n1,X_22)) = multiply(X_22,add(X,n1)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(X_22,multiply(n1,X_22))) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    add(inverse(X),multiply(n1,inverse(X))) = multiply(inverse(X),add(X,n1)),
    inference(subst,[],[refute_0_182:[bind(X_22,$fot(inverse(X)))]]) ).

cnf(refute_0_184,plain,
    ( multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != add(inverse(X),multiply(n1,inverse(X)))
    | add(inverse(X),multiply(n1,inverse(X))) != multiply(inverse(X),add(X,n1))
    | multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = multiply(inverse(X),add(X,n1)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(X),add(add(X_30,inverse(X)),n1)))),bind(Y0,$fot(add(inverse(X),multiply(n1,inverse(X))))),bind(Z0,$fot(multiply(inverse(X),add(X,n1))))]]) ).

cnf(refute_0_185,plain,
    ( add(inverse(X),multiply(n1,inverse(X))) != multiply(inverse(X),add(X,n1))
    | multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = multiply(inverse(X),add(X,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),multiply(n1,inverse(X)))) )],[refute_0_172,refute_0_184]) ).

cnf(refute_0_186,plain,
    multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = multiply(inverse(X),add(X,n1)),
    inference(resolve,[$cnf( $equal(add(inverse(X),multiply(n1,inverse(X))),multiply(inverse(X),add(X,n1))) )],[refute_0_183,refute_0_185]) ).

cnf(refute_0_187,plain,
    ( multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != multiply(inverse(X),add(X,n1))
    | multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != add(inverse(X),inverse(X))
    | multiply(inverse(X),add(X,n1)) = add(inverse(X),inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),inverse(X))) ),[0],$fot(multiply(inverse(X),add(X,n1)))]]) ).

cnf(refute_0_188,plain,
    ( multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != add(inverse(X),inverse(X))
    | multiply(inverse(X),add(X,n1)) = add(inverse(X),inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),multiply(inverse(X),add(X,n1))) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    multiply(inverse(X),add(X,n1)) = add(inverse(X),inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),inverse(X))) )],[refute_0_175,refute_0_188]) ).

cnf(refute_0_190,plain,
    multiply(inverse(inverse(n1)),add(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))),
    inference(subst,[],[refute_0_189:[bind(X,$fot(inverse(n1)))]]) ).

cnf(refute_0_191,plain,
    ( multiply(inverse(inverse(n1)),add(X,n1)) != multiply(inverse(inverse(n1)),add(inverse(n1),n1))
    | multiply(inverse(inverse(n1)),add(inverse(n1),n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
    | multiply(inverse(inverse(n1)),add(X,n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(n1)),add(X,n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) ),[0],$fot(multiply(inverse(inverse(n1)),add(inverse(n1),n1)))]]) ).

cnf(refute_0_192,plain,
    ( multiply(inverse(inverse(n1)),add(X,n1)) != multiply(inverse(inverse(n1)),add(inverse(n1),n1))
    | multiply(inverse(inverse(n1)),add(X,n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(inverse(n1),n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    multiply(inverse(inverse(n1)),add(X,n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X,n1)),multiply(inverse(inverse(n1)),add(inverse(n1),n1))) )],[refute_0_171,refute_0_192]) ).

cnf(refute_0_194,plain,
    ( multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))
    | multiply(inverse(inverse(n1)),add(X,n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
    | multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) ),[1,0],$fot(add(inverse(inverse(n1)),inverse(inverse(n1))))]]) ).

cnf(refute_0_195,plain,
    ( multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))
    | multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X,n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_193,refute_0_194]) ).

cnf(refute_0_196,plain,
    multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),
    inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) )],[refute_0_160,refute_0_195]) ).

cnf(refute_0_197,plain,
    ( multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))
    | multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
    | add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) ),[0],$fot(add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)))]]) ).

cnf(refute_0_198,plain,
    ( multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
    | add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) )],[refute_0_160,refute_0_197]) ).

cnf(refute_0_199,plain,
    add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),
    inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) )],[refute_0_196,refute_0_198]) ).

cnf(refute_0_200,plain,
    multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = add(multiply(n1,inverse(X)),inverse(X)),
    inference(subst,[],[refute_0_123:[bind(X,$fot(X_40)),bind(X_22,$fot(inverse(X))),bind(X_23,$fot(n1))]]) ).

cnf(refute_0_201,plain,
    ( multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != add(multiply(n1,inverse(X)),inverse(X))
    | multiply(n1,inverse(X)) != inverse(X)
    | multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = add(inverse(X),inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) ),[1,0],$fot(inverse(X))]]) ).

cnf(refute_0_202,plain,
    ( multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != add(multiply(n1,inverse(X)),inverse(X))
    | multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = add(inverse(X),inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_50,refute_0_201]) ).

cnf(refute_0_203,plain,
    multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = add(inverse(X),inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) )],[refute_0_200,refute_0_202]) ).

cnf(refute_0_204,plain,
    multiply(inverse(X),add(X_23,n1)) = add(multiply(X_23,inverse(X)),multiply(n1,inverse(X))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_23)),bind(Z,$fot(n1))]]) ).

cnf(refute_0_205,plain,
    ( multiply(inverse(X),add(X_23,n1)) != add(multiply(X_23,inverse(X)),multiply(n1,inverse(X)))
    | multiply(n1,inverse(X)) != inverse(X)
    | multiply(inverse(X),add(X_23,n1)) = add(multiply(X_23,inverse(X)),inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),multiply(n1,inverse(X)))) ),[1,1],$fot(inverse(X))]]) ).

cnf(refute_0_206,plain,
    ( multiply(inverse(X),add(X_23,n1)) != add(multiply(X_23,inverse(X)),multiply(n1,inverse(X)))
    | multiply(inverse(X),add(X_23,n1)) = add(multiply(X_23,inverse(X)),inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_50,refute_0_205]) ).

cnf(refute_0_207,plain,
    multiply(inverse(X),add(X_23,n1)) = add(multiply(X_23,inverse(X)),inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),multiply(n1,inverse(X)))) )],[refute_0_204,refute_0_206]) ).

cnf(refute_0_208,plain,
    ( multiply(inverse(X),add(X_23,n1)) != add(multiply(X_23,inverse(X)),inverse(X))
    | add(multiply(X_23,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_23,n1)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X),add(X_23,n1)))),bind(Y0,$fot(add(multiply(X_23,inverse(X)),inverse(X))))]]) ).

cnf(refute_0_209,plain,
    add(multiply(X_23,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_23,n1)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),inverse(X))) )],[refute_0_207,refute_0_208]) ).

cnf(refute_0_210,plain,
    add(multiply(n1,inverse(X)),inverse(X)) = multiply(inverse(X),add(n1,n1)),
    inference(subst,[],[refute_0_209:[bind(X_23,$fot(n1))]]) ).

cnf(refute_0_211,plain,
    ( multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != add(multiply(n1,inverse(X)),inverse(X))
    | add(multiply(n1,inverse(X)),inverse(X)) != multiply(inverse(X),add(n1,n1))
    | multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = multiply(inverse(X),add(n1,n1)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(X),add(n1,add(X_40,inverse(X)))))),bind(Y0,$fot(add(multiply(n1,inverse(X)),inverse(X)))),bind(Z0,$fot(multiply(inverse(X),add(n1,n1))))]]) ).

cnf(refute_0_212,plain,
    ( add(multiply(n1,inverse(X)),inverse(X)) != multiply(inverse(X),add(n1,n1))
    | multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = multiply(inverse(X),add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) )],[refute_0_200,refute_0_211]) ).

cnf(refute_0_213,plain,
    multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = multiply(inverse(X),add(n1,n1)),
    inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(X)),inverse(X)),multiply(inverse(X),add(n1,n1))) )],[refute_0_210,refute_0_212]) ).

cnf(refute_0_214,plain,
    ( multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != multiply(inverse(X),add(n1,n1))
    | multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != add(inverse(X),inverse(X))
    | multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(inverse(X),inverse(X))) ),[0],$fot(multiply(inverse(X),add(n1,n1)))]]) ).

cnf(refute_0_215,plain,
    ( multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != add(inverse(X),inverse(X))
    | multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),multiply(inverse(X),add(n1,n1))) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(inverse(X),inverse(X))) )],[refute_0_203,refute_0_215]) ).

cnf(refute_0_217,plain,
    ( multiply(inverse(X),add(n1,n1)) != add(inverse(X),inverse(X))
    | add(inverse(X),inverse(X)) = multiply(inverse(X),add(n1,n1)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X),add(n1,n1)))),bind(Y0,$fot(add(inverse(X),inverse(X))))]]) ).

cnf(refute_0_218,plain,
    add(inverse(X),inverse(X)) = multiply(inverse(X),add(n1,n1)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,n1)),add(inverse(X),inverse(X))) )],[refute_0_216,refute_0_217]) ).

cnf(refute_0_219,plain,
    add(inverse(inverse(n1)),inverse(inverse(n1))) = multiply(inverse(inverse(n1)),add(n1,n1)),
    inference(subst,[],[refute_0_218:[bind(X,$fot(inverse(n1)))]]) ).

cnf(refute_0_220,plain,
    add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),
    introduced(tautology,[refl,[$fot(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)))]]) ).

cnf(refute_0_221,plain,
    ( add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
    | add(inverse(inverse(n1)),inverse(inverse(n1))) != multiply(inverse(inverse(n1)),add(n1,n1))
    | add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) ),[1,0],$fot(multiply(inverse(inverse(n1)),add(n1,n1)))]]) ).

cnf(refute_0_222,plain,
    ( add(inverse(inverse(n1)),inverse(inverse(n1))) != multiply(inverse(inverse(n1)),add(n1,n1))
    | add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(inverse(n1))),multiply(inverse(inverse(n1)),add(n1,n1))) )],[refute_0_219,refute_0_222]) ).

cnf(refute_0_224,plain,
    ( add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
    | add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) != add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))
    | add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) ),[0],$fot(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)))]]) ).

cnf(refute_0_225,plain,
    ( add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
    | add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) )],[refute_0_223,refute_0_224]) ).

cnf(refute_0_226,plain,
    add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) )],[refute_0_199,refute_0_225]) ).

cnf(refute_0_227,plain,
    ( multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) != add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))
    | multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) ),[0,1],$fot(add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)))]]) ).

cnf(refute_0_228,plain,
    ( multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1),
    inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) )],[refute_0_159,refute_0_228]) ).

cnf(refute_0_230,plain,
    add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1) = add(inverse(n1),n1),
    inference(subst,[],[refute_0_94:[bind(X,$fot(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1)))]]) ).

cnf(refute_0_231,plain,
    multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1),
    inference(subst,[],[refute_0_123:[bind(X_22,$fot(n1)),bind(X_23,$fot(multiply(inverse(inverse(n1)),add(n1,n1))))]]) ).

cnf(refute_0_232,plain,
    ( multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1)
    | add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1) != add(inverse(n1),n1)
    | multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(inverse(n1),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))))),bind(Y0,$fot(add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1))),bind(Z0,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_233,plain,
    ( add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1) != add(inverse(n1),n1)
    | multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1)) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1),add(inverse(n1),n1)) )],[refute_0_230,refute_0_233]) ).

cnf(refute_0_235,plain,
    ( multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(inverse(n1),n1)
    | add(inverse(n1),n1) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) ),[0],$fot(add(inverse(n1),n1))]]) ).

cnf(refute_0_236,plain,
    ( multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | add(inverse(n1),n1) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(inverse(n1),n1)) )],[refute_0_234,refute_0_235]) ).

cnf(refute_0_237,plain,
    multiply(add(inverse(n1),n1),add(X_58,n1)) = add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1))),
    inference(subst,[],[refute_0_180:[bind(X,$fot(X_58)),bind(X_22,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_238,plain,
    multiply(n1,add(X,n1)) = multiply(n1,add(inverse(n1),n1)),
    inference(subst,[],[refute_0_170:[bind(X_22,$fot(n1))]]) ).

cnf(refute_0_239,plain,
    ( multiply(n1,add(X,n1)) != multiply(n1,add(inverse(n1),n1))
    | multiply(n1,add(inverse(n1),n1)) = multiply(n1,add(X,n1)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,add(X,n1)))),bind(Y0,$fot(multiply(n1,add(inverse(n1),n1))))]]) ).

cnf(refute_0_240,plain,
    multiply(n1,add(inverse(n1),n1)) = multiply(n1,add(X,n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),multiply(n1,add(inverse(n1),n1))) )],[refute_0_238,refute_0_239]) ).

cnf(refute_0_241,plain,
    ( multiply(add(inverse(n1),n1),add(X_58,n1)) != add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))
    | multiply(n1,add(inverse(n1),n1)) != multiply(n1,add(X,n1))
    | multiply(add(inverse(n1),n1),add(X_58,n1)) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_58,n1)),add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))) ),[1,1],$fot(multiply(n1,add(X,n1)))]]) ).

cnf(refute_0_242,plain,
    ( multiply(add(inverse(n1),n1),add(X_58,n1)) != add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))
    | multiply(add(inverse(n1),n1),add(X_58,n1)) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),n1)),multiply(n1,add(X,n1))) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    multiply(add(inverse(n1),n1),add(X_58,n1)) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_58,n1)),add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))) )],[refute_0_237,refute_0_242]) ).

cnf(refute_0_244,plain,
    multiply(multiply(add(X,add(X_27,n1)),add(X_66,n1)),multiply(n1,add(X,add(X_27,n1)))) = multiply(n1,add(X,add(X_27,n1))),
    inference(subst,[],[refute_0_10:[bind(X_22,$fot(add(X,add(X_27,n1)))),bind(X_23,$fot(X_66)),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_245,plain,
    multiply(add(X,add(X_27,n1)),add(X_66,n1)) = add(X_27,n1),
    inference(subst,[],[refute_0_114:[bind(X_29,$fot(X_66))]]) ).

cnf(refute_0_246,plain,
    ( multiply(multiply(add(X,add(X_27,n1)),add(X_66,n1)),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(add(X,add(X_27,n1)),add(X_66,n1)) != add(X_27,n1)
    | multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(n1,add(X,add(X_27,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X,add(X_27,n1)),add(X_66,n1)),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) ),[0,0],$fot(add(X_27,n1))]]) ).

cnf(refute_0_247,plain,
    ( multiply(multiply(add(X,add(X_27,n1)),add(X_66,n1)),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(n1,add(X,add(X_27,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,add(X_27,n1)),add(X_66,n1)),add(X_27,n1)) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(n1,add(X,add(X_27,n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(X,add(X_27,n1)),add(X_66,n1)),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) )],[refute_0_244,refute_0_247]) ).

cnf(refute_0_249,plain,
    ( add(X,n1) != add(X_16,n1)
    | add(X_16,n1) = add(X,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(X_16,n1)))]]) ).

cnf(refute_0_250,plain,
    add(X_16,n1) = add(X,n1),
    inference(resolve,[$cnf( $equal(add(X,n1),add(X_16,n1)) )],[refute_0_100,refute_0_249]) ).

cnf(refute_0_251,plain,
    add(multiply(X,n1),n1) = add(X,n1),
    inference(subst,[],[refute_0_250:[bind(X_16,$fot(multiply(X,n1)))]]) ).

cnf(refute_0_252,plain,
    multiply(n1,add(X,add(X_27,n1))) = add(multiply(X,n1),n1),
    inference(subst,[],[refute_0_123:[bind(X,$fot(X_27)),bind(X_22,$fot(n1)),bind(X_23,$fot(X))]]) ).

cnf(refute_0_253,plain,
    ( multiply(n1,add(X,add(X_27,n1))) != add(multiply(X,n1),n1)
    | add(multiply(X,n1),n1) != add(X,n1)
    | multiply(n1,add(X,add(X_27,n1))) = add(X,n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(n1,add(X,add(X_27,n1))))),bind(Y0,$fot(add(multiply(X,n1),n1))),bind(Z0,$fot(add(X,n1)))]]) ).

cnf(refute_0_254,plain,
    ( add(multiply(X,n1),n1) != add(X,n1)
    | multiply(n1,add(X,add(X_27,n1))) = add(X,n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X,add(X_27,n1))),add(multiply(X,n1),n1)) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    multiply(n1,add(X,add(X_27,n1))) = add(X,n1),
    inference(resolve,[$cnf( $equal(add(multiply(X,n1),n1),add(X,n1)) )],[refute_0_251,refute_0_254]) ).

cnf(refute_0_256,plain,
    multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),
    introduced(tautology,[refl,[$fot(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))))]]) ).

cnf(refute_0_257,plain,
    ( multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1))))
    | multiply(n1,add(X,add(X_27,n1))) != add(X,n1)
    | multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(add(X_27,n1),add(X,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1))))) ),[1,1],$fot(add(X,n1))]]) ).

cnf(refute_0_258,plain,
    ( multiply(n1,add(X,add(X_27,n1))) != add(X,n1)
    | multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(add(X_27,n1),add(X,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1))))) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(add(X_27,n1),add(X,n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X,add(X_27,n1))),add(X,n1)) )],[refute_0_255,refute_0_258]) ).

cnf(refute_0_260,plain,
    ( multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(add(X_27,n1),add(X,n1))
    | multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(add(X_27,n1),add(X,n1)) = multiply(n1,add(X,add(X_27,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) ),[0],$fot(multiply(add(X_27,n1),add(X,n1)))]]) ).

cnf(refute_0_261,plain,
    ( multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(add(X_27,n1),add(X,n1)) = multiply(n1,add(X,add(X_27,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(add(X_27,n1),add(X,n1))) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    ( multiply(add(X_27,n1),add(X,n1)) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(n1,add(X,add(X_27,n1))) != add(X,n1)
    | multiply(add(X_27,n1),add(X,n1)) = add(X,n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_27,n1),add(X,n1)),add(X,n1)) ),[0],$fot(multiply(n1,add(X,add(X_27,n1))))]]) ).

cnf(refute_0_263,plain,
    ( multiply(add(X_27,n1),add(X,n1)) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(add(X_27,n1),add(X,n1)) = add(X,n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X,add(X_27,n1))),add(X,n1)) )],[refute_0_255,refute_0_262]) ).

cnf(refute_0_264,plain,
    ( multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
    | multiply(add(X_27,n1),add(X,n1)) = add(X,n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(X,n1)),multiply(n1,add(X,add(X_27,n1)))) )],[refute_0_261,refute_0_263]) ).

cnf(refute_0_265,plain,
    multiply(add(X_27,n1),add(X,n1)) = add(X,n1),
    inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) )],[refute_0_248,refute_0_264]) ).

cnf(refute_0_266,plain,
    multiply(add(inverse(n1),n1),add(X_58,n1)) = add(X_58,n1),
    inference(subst,[],[refute_0_265:[bind(X,$fot(X_58)),bind(X_27,$fot(inverse(n1)))]]) ).

cnf(refute_0_267,plain,
    ( multiply(add(inverse(n1),n1),add(X_58,n1)) != add(X_58,n1)
    | multiply(add(inverse(n1),n1),add(X_58,n1)) != add(add(inverse(n1),n1),multiply(n1,add(X,n1)))
    | add(X_58,n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_58,n1)),add(add(inverse(n1),n1),multiply(n1,add(X,n1)))) ),[0],$fot(add(X_58,n1))]]) ).

cnf(refute_0_268,plain,
    ( multiply(add(inverse(n1),n1),add(X_58,n1)) != add(add(inverse(n1),n1),multiply(n1,add(X,n1)))
    | add(X_58,n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_58,n1)),add(X_58,n1)) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    add(X_58,n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_58,n1)),add(add(inverse(n1),n1),multiply(n1,add(X,n1)))) )],[refute_0_243,refute_0_268]) ).

cnf(refute_0_270,plain,
    add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
    inference(subst,[],[refute_0_269:[bind(X_58,$fot(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1)))]]) ).

cnf(refute_0_271,plain,
    ( add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(X,n1)))
    | add(inverse(n1),n1) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),n1),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) ),[1],$fot(add(add(inverse(n1),n1),multiply(n1,add(X,n1))))]]) ).

cnf(refute_0_272,plain,
    ( add(inverse(n1),n1) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1),add(add(inverse(n1),n1),multiply(n1,add(X,n1)))) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
    | add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) )],[refute_0_236,refute_0_272]) ).

cnf(refute_0_274,plain,
    add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
    inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) )],[refute_0_229,refute_0_273]) ).

cnf(refute_0_275,plain,
    add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1))),
    inference(subst,[],[refute_0_274:[bind(X,$fot(add(X,n1)))]]) ).

cnf(refute_0_276,plain,
    multiply(n1,add(add(X,n1),n1)) = add(n1,multiply(n1,n1)),
    inference(subst,[],[refute_0_37:[bind(X_22,$fot(n1)),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_277,plain,
    ( multiply(n1,add(add(X,n1),n1)) != add(n1,multiply(n1,n1))
    | add(inverse(n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1)))
    | add(inverse(n1),n1) = add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1)))) ),[1,1],$fot(add(n1,multiply(n1,n1)))]]) ).

cnf(refute_0_278,plain,
    ( add(inverse(n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1)))
    | add(inverse(n1),n1) = add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(add(X,n1),n1)),add(n1,multiply(n1,n1))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    add(inverse(n1),n1) = add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1)))) )],[refute_0_275,refute_0_278]) ).

cnf(refute_0_280,plain,
    ( add(inverse(n1),n1) != add(X_16,n1)
    | add(inverse(n1),n1) != add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))
    | add(inverse(n1),n1) = add(add(X_16,n1),add(n1,multiply(n1,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))) ),[1,0],$fot(add(X_16,n1))]]) ).

cnf(refute_0_281,plain,
    ( add(inverse(n1),n1) != add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))
    | add(inverse(n1),n1) = add(add(X_16,n1),add(n1,multiply(n1,n1))) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X_16,n1)) )],[refute_0_97,refute_0_280]) ).

cnf(refute_0_282,plain,
    add(inverse(n1),n1) = add(add(X_16,n1),add(n1,multiply(n1,n1))),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))) )],[refute_0_279,refute_0_281]) ).

cnf(refute_0_283,plain,
    multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)),
    inference(subst,[],[multiply_add:[bind(X,$fot(add(inverse(n1),n1))),bind(Y,$fot(add(n1,multiply(n1,n1))))]]) ).

cnf(refute_0_284,plain,
    ( add(inverse(n1),n1) != add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))
    | add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(inverse(n1),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(inverse(n1),n1))),bind(Y0,$fot(add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))))]]) ).

cnf(refute_0_285,plain,
    add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))) )],[refute_0_279,refute_0_284]) ).

cnf(refute_0_286,plain,
    ( multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) != add(n1,multiply(n1,n1))
    | add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(inverse(n1),n1)
    | multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) ),[0,0],$fot(add(inverse(n1),n1))]]) ).

cnf(refute_0_287,plain,
    ( multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) != add(n1,multiply(n1,n1))
    | multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(inverse(n1),n1)) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)),
    inference(resolve,[$cnf( $equal(multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) )],[refute_0_283,refute_0_287]) ).

cnf(refute_0_289,plain,
    multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_37,n1))),bind(Z,$fot(multiply(n1,n1)))]]) ).

cnf(refute_0_290,plain,
    multiply(multiply(n1,n1),add(X,n1)) = multiply(multiply(n1,n1),add(n1,n1)),
    inference(subst,[],[refute_0_110:[bind(X_22,$fot(multiply(n1,n1))),bind(X_23,$fot(n1))]]) ).

cnf(refute_0_291,plain,
    multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))),
    inference(subst,[],[refute_0_37:[bind(X,$fot(X_30)),bind(X_22,$fot(multiply(X_32,n1))),bind(X_24,$fot(X_32))]]) ).

cnf(refute_0_292,plain,
    multiply(X_32,multiply(X_32,n1)) = multiply(X_32,n1),
    inference(subst,[],[refute_0_69:[bind(X_15,$fot(X_32))]]) ).

cnf(refute_0_293,plain,
    ( multiply(X_32,multiply(X_32,n1)) != multiply(X_32,n1)
    | multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))
    | multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))) ),[1,1],$fot(multiply(X_32,n1))]]) ).

cnf(refute_0_294,plain,
    ( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))
    | multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(X_32,multiply(X_32,n1)),multiply(X_32,n1)) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))) )],[refute_0_291,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( multiply(multiply(X_23,n1),add(X_23,X_24)) != add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1)))
    | add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) = multiply(multiply(X_23,n1),add(X_23,X_24)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(multiply(X_23,n1),add(X_23,X_24)))),bind(Y0,$fot(add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1)))))]]) ).

cnf(refute_0_297,plain,
    add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) = multiply(multiply(X_23,n1),add(X_23,X_24)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_23,X_24)),add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1)))) )],[refute_0_73,refute_0_296]) ).

cnf(refute_0_298,plain,
    add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))) = multiply(multiply(X_32,n1),add(X_32,X_32)),
    inference(subst,[],[refute_0_297:[bind(X_23,$fot(X_32)),bind(X_24,$fot(X_32))]]) ).

cnf(refute_0_299,plain,
    ( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))
    | add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))) != multiply(multiply(X_32,n1),add(X_32,X_32))
    | multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = multiply(multiply(X_32,n1),add(X_32,X_32)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)))),bind(Y0,$fot(add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))))),bind(Z0,$fot(multiply(multiply(X_32,n1),add(X_32,X_32))))]]) ).

cnf(refute_0_300,plain,
    ( add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))) != multiply(multiply(X_32,n1),add(X_32,X_32))
    | multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = multiply(multiply(X_32,n1),add(X_32,X_32)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))) )],[refute_0_291,refute_0_299]) ).

cnf(refute_0_301,plain,
    multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = multiply(multiply(X_32,n1),add(X_32,X_32)),
    inference(resolve,[$cnf( $equal(add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))),multiply(multiply(X_32,n1),add(X_32,X_32))) )],[refute_0_298,refute_0_300]) ).

cnf(refute_0_302,plain,
    ( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != multiply(multiply(X_32,n1),add(X_32,X_32))
    | multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
    | multiply(multiply(X_32,n1),add(X_32,X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,n1))) ),[0],$fot(multiply(multiply(X_32,n1),add(X_32,X_32)))]]) ).

cnf(refute_0_303,plain,
    ( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
    | multiply(multiply(X_32,n1),add(X_32,X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),multiply(multiply(X_32,n1),add(X_32,X_32))) )],[refute_0_301,refute_0_302]) ).

cnf(refute_0_304,plain,
    add(multiply(X_32,n1),multiply(X_32,n1)) = multiply(n1,add(X_32,X_32)),
    inference(subst,[],[refute_0_14:[bind(X,$fot(n1)),bind(Y,$fot(X_32)),bind(Z,$fot(X_32))]]) ).

cnf(refute_0_305,plain,
    ( multiply(multiply(X_32,n1),add(X_32,X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
    | add(multiply(X_32,n1),multiply(X_32,n1)) != multiply(n1,add(X_32,X_32))
    | multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(X_32,X_32)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(X_32,X_32))) ),[0],$fot(add(multiply(X_32,n1),multiply(X_32,n1)))]]) ).

cnf(refute_0_306,plain,
    ( multiply(multiply(X_32,n1),add(X_32,X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
    | multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(X_32,X_32)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_32,n1),multiply(X_32,n1)),multiply(n1,add(X_32,X_32))) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
    | multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(X_32,X_32)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),add(multiply(X_32,n1),multiply(X_32,n1))) )],[refute_0_303,refute_0_306]) ).

cnf(refute_0_308,plain,
    multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(X_32,X_32)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,n1))) )],[refute_0_295,refute_0_307]) ).

cnf(refute_0_309,plain,
    multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(n1,n1)),
    inference(subst,[],[refute_0_308:[bind(X_32,$fot(n1))]]) ).

cnf(refute_0_310,plain,
    ( multiply(multiply(n1,n1),add(X,n1)) != multiply(multiply(n1,n1),add(n1,n1))
    | multiply(multiply(n1,n1),add(n1,n1)) != multiply(n1,add(n1,n1))
    | multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(n1,n1),add(X,n1)),multiply(n1,add(n1,n1))) ),[0],$fot(multiply(multiply(n1,n1),add(n1,n1)))]]) ).

cnf(refute_0_311,plain,
    ( multiply(multiply(n1,n1),add(X,n1)) != multiply(multiply(n1,n1),add(n1,n1))
    | multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(X,n1)),multiply(multiply(n1,n1),add(n1,n1))) )],[refute_0_290,refute_0_311]) ).

cnf(refute_0_313,plain,
    multiply(multiply(n1,n1),add(X_37,n1)) = multiply(n1,add(n1,n1)),
    inference(subst,[],[refute_0_312:[bind(X,$fot(X_37))]]) ).

cnf(refute_0_314,plain,
    ( multiply(multiply(n1,n1),add(X_37,n1)) != multiply(n1,add(n1,n1))
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1)))
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1)))) ),[1,1],$fot(multiply(n1,add(n1,n1)))]]) ).

cnf(refute_0_315,plain,
    ( multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1)))
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(X_37,n1)),multiply(n1,add(n1,n1))) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1)))) )],[refute_0_289,refute_0_315]) ).

cnf(refute_0_317,plain,
    multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_27,n1)))]]) ).

cnf(refute_0_318,plain,
    multiply(Y,add(X_27,n1)) = multiply(Y,add(X_29,n1)),
    inference(subst,[],[refute_0_110:[bind(X,$fot(X_27)),bind(X_22,$fot(Y)),bind(X_23,$fot(X_29))]]) ).

cnf(refute_0_319,plain,
    ( multiply(Y,add(X_27,n1)) != multiply(Y,add(X_29,n1))
    | multiply(add(X_27,n1),add(Y,Z)) != add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1)))
    | multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_27,n1),add(Y,Z)),add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1)))) ),[1,0],$fot(multiply(Y,add(X_29,n1)))]]) ).

cnf(refute_0_320,plain,
    ( multiply(add(X_27,n1),add(Y,Z)) != add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1)))
    | multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(Y,add(X_27,n1)),multiply(Y,add(X_29,n1))) )],[refute_0_318,refute_0_319]) ).

cnf(refute_0_321,plain,
    multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(Y,Z)),add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1)))) )],[refute_0_317,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( multiply(add(X_27,n1),add(Y,Z)) != add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1)))
    | add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) = multiply(add(X_27,n1),add(Y,Z)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(add(X_27,n1),add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1)))))]]) ).

cnf(refute_0_323,plain,
    add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) = multiply(add(X_27,n1),add(Y,Z)),
    inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(Y,Z)),add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1)))) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))) = multiply(add(n1,n1),add(Y,n1)),
    inference(subst,[],[refute_0_323:[bind(Z,$fot(n1)),bind(X_27,$fot(n1)),bind(X_29,$fot(X_37))]]) ).

cnf(refute_0_325,plain,
    ( multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1)))
    | add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))) != multiply(add(n1,n1),add(Y,n1))
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = multiply(add(n1,n1),add(Y,n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),multiply(add(n1,n1),add(Y,n1))) ),[0],$fot(add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))))]]) ).

cnf(refute_0_326,plain,
    ( multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1)))
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = multiply(add(n1,n1),add(Y,n1)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))),multiply(add(n1,n1),add(Y,n1))) )],[refute_0_324,refute_0_325]) ).

cnf(refute_0_327,plain,
    multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = multiply(add(n1,n1),add(Y,n1)),
    inference(resolve,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1)))) )],[refute_0_316,refute_0_326]) ).

cnf(refute_0_328,plain,
    multiply(add(n1,n1),add(Y,n1)) = add(Y,n1),
    inference(subst,[],[refute_0_265:[bind(X,$fot(Y)),bind(X_27,$fot(n1))]]) ).

cnf(refute_0_329,plain,
    ( multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != multiply(add(n1,n1),add(Y,n1))
    | multiply(add(n1,n1),add(Y,n1)) != add(Y,n1)
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(Y,n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),add(Y,n1)) ),[0],$fot(multiply(add(n1,n1),add(Y,n1)))]]) ).

cnf(refute_0_330,plain,
    ( multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != multiply(add(n1,n1),add(Y,n1))
    | multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(Y,n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(Y,n1)),add(Y,n1)) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(Y,n1),
    inference(resolve,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),multiply(add(n1,n1),add(Y,n1))) )],[refute_0_327,refute_0_330]) ).

cnf(refute_0_332,plain,
    multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,n1),
    inference(subst,[],[refute_0_331:[bind(Y,$fot(n1)),bind(X_37,$fot(inverse(n1)))]]) ).

cnf(refute_0_333,plain,
    ( multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(n1,multiply(n1,n1))
    | multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(n1,n1)
    | add(n1,n1) = add(n1,multiply(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) ),[0],$fot(add(n1,n1))]]) ).

cnf(refute_0_334,plain,
    ( multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(n1,multiply(n1,n1))
    | add(n1,n1) = add(n1,multiply(n1,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,n1)) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    add(n1,n1) = add(n1,multiply(n1,n1)),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) )],[refute_0_288,refute_0_334]) ).

cnf(refute_0_336,plain,
    ( add(n1,n1) != add(n1,multiply(n1,n1))
    | add(n1,multiply(n1,n1)) = add(n1,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(n1,n1))),bind(Y0,$fot(add(n1,multiply(n1,n1))))]]) ).

cnf(refute_0_337,plain,
    add(n1,multiply(n1,n1)) = add(n1,n1),
    inference(resolve,[$cnf( $equal(add(n1,n1),add(n1,multiply(n1,n1))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    add(add(X_16,n1),add(n1,multiply(n1,n1))) = add(add(X_16,n1),add(n1,multiply(n1,n1))),
    introduced(tautology,[refl,[$fot(add(add(X_16,n1),add(n1,multiply(n1,n1))))]]) ).

cnf(refute_0_339,plain,
    ( add(add(X_16,n1),add(n1,multiply(n1,n1))) != add(add(X_16,n1),add(n1,multiply(n1,n1)))
    | add(n1,multiply(n1,n1)) != add(n1,n1)
    | add(add(X_16,n1),add(n1,multiply(n1,n1))) = add(add(X_16,n1),add(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_16,n1),add(n1,multiply(n1,n1))),add(add(X_16,n1),add(n1,multiply(n1,n1)))) ),[1,1],$fot(add(n1,n1))]]) ).

cnf(refute_0_340,plain,
    ( add(n1,multiply(n1,n1)) != add(n1,n1)
    | add(add(X_16,n1),add(n1,multiply(n1,n1))) = add(add(X_16,n1),add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(add(add(X_16,n1),add(n1,multiply(n1,n1))),add(add(X_16,n1),add(n1,multiply(n1,n1)))) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    add(add(X_16,n1),add(n1,multiply(n1,n1))) = add(add(X_16,n1),add(n1,n1)),
    inference(resolve,[$cnf( $equal(add(n1,multiply(n1,n1)),add(n1,n1)) )],[refute_0_337,refute_0_340]) ).

cnf(refute_0_342,plain,
    ( add(add(X_16,n1),add(n1,multiply(n1,n1))) != add(add(X_16,n1),add(n1,n1))
    | add(inverse(n1),n1) != add(add(X_16,n1),add(n1,multiply(n1,n1)))
    | add(inverse(n1),n1) = add(add(X_16,n1),add(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),n1),add(add(X_16,n1),add(n1,multiply(n1,n1)))) ),[1],$fot(add(add(X_16,n1),add(n1,n1)))]]) ).

cnf(refute_0_343,plain,
    ( add(inverse(n1),n1) != add(add(X_16,n1),add(n1,multiply(n1,n1)))
    | add(inverse(n1),n1) = add(add(X_16,n1),add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(add(add(X_16,n1),add(n1,multiply(n1,n1))),add(add(X_16,n1),add(n1,n1))) )],[refute_0_341,refute_0_342]) ).

cnf(refute_0_344,plain,
    add(inverse(n1),n1) = add(add(X_16,n1),add(n1,n1)),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(X_16,n1),add(n1,multiply(n1,n1)))) )],[refute_0_282,refute_0_343]) ).

cnf(refute_0_345,plain,
    add(inverse(n1),n1) = add(add(X_75,n1),add(n1,n1)),
    inference(subst,[],[refute_0_344:[bind(X_16,$fot(X_75))]]) ).

cnf(refute_0_346,plain,
    ( add(inverse(n1),n1) != add(add(X_75,n1),add(n1,n1))
    | add(add(X_75,n1),add(n1,n1)) = add(inverse(n1),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(inverse(n1),n1))),bind(Y0,$fot(add(add(X_75,n1),add(n1,n1))))]]) ).

cnf(refute_0_347,plain,
    add(add(X_75,n1),add(n1,n1)) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(X_75,n1),add(n1,n1))) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    ( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(add(X_75,n1),add(n1,n1))),add(n1,n1)))
    | add(add(X_75,n1),add(n1,n1)) != add(inverse(n1),n1)
    | multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(add(X_75,n1),add(n1,n1))),add(n1,n1)))) ),[1,1,0,0],$fot(add(inverse(n1),n1))]]) ).

cnf(refute_0_349,plain,
    ( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(add(X_75,n1),add(n1,n1))),add(n1,n1)))
    | multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) ),
    inference(resolve,[$cnf( $equal(add(add(X_75,n1),add(n1,n1)),add(inverse(n1),n1)) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(add(X_75,n1),add(n1,n1))),add(n1,n1)))) )],[refute_0_158,refute_0_349]) ).

cnf(refute_0_351,plain,
    multiply(add(n1,n1),n1) = n1,
    inference(subst,[],[multiply_add:[bind(X,$fot(n1)),bind(Y,$fot(n1))]]) ).

cnf(refute_0_352,plain,
    ( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
    | multiply(add(n1,n1),n1) != n1
    | n1 = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))) ),[0],$fot(n1)]]) ).

cnf(refute_0_353,plain,
    ( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
    | n1 = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),n1),n1) )],[refute_0_351,refute_0_352]) ).

cnf(refute_0_354,plain,
    multiply(add(X_74,n1),add(n1,Z)) = add(multiply(n1,add(X_74,n1)),multiply(Z,add(X_74,n1))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_74,n1))),bind(Y,$fot(n1))]]) ).

cnf(refute_0_355,plain,
    multiply(n1,add(X,n1)) = add(n1,multiply(n1,n1)),
    inference(subst,[],[refute_0_180:[bind(X_22,$fot(n1))]]) ).

cnf(refute_0_356,plain,
    ( multiply(n1,add(X,n1)) != add(n1,multiply(n1,n1))
    | add(n1,multiply(n1,n1)) != add(n1,n1)
    | multiply(n1,add(X,n1)) = add(n1,n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(X,n1)),add(n1,n1)) ),[0],$fot(add(n1,multiply(n1,n1)))]]) ).

cnf(refute_0_357,plain,
    ( multiply(n1,add(X,n1)) != add(n1,multiply(n1,n1))
    | multiply(n1,add(X,n1)) = add(n1,n1) ),
    inference(resolve,[$cnf( $equal(add(n1,multiply(n1,n1)),add(n1,n1)) )],[refute_0_337,refute_0_356]) ).

cnf(refute_0_358,plain,
    multiply(n1,add(X,n1)) = add(n1,n1),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),add(n1,multiply(n1,n1))) )],[refute_0_355,refute_0_357]) ).

cnf(refute_0_359,plain,
    multiply(n1,add(X_74,n1)) = add(n1,n1),
    inference(subst,[],[refute_0_358:[bind(X,$fot(X_74))]]) ).

cnf(refute_0_360,plain,
    ( multiply(add(X_74,n1),add(n1,Z)) != add(multiply(n1,add(X_74,n1)),multiply(Z,add(X_74,n1)))
    | multiply(n1,add(X_74,n1)) != add(n1,n1)
    | multiply(add(X_74,n1),add(n1,Z)) = add(add(n1,n1),multiply(Z,add(X_74,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_74,n1),add(n1,Z)),add(multiply(n1,add(X_74,n1)),multiply(Z,add(X_74,n1)))) ),[1,0],$fot(add(n1,n1))]]) ).

cnf(refute_0_361,plain,
    ( multiply(add(X_74,n1),add(n1,Z)) != add(multiply(n1,add(X_74,n1)),multiply(Z,add(X_74,n1)))
    | multiply(add(X_74,n1),add(n1,Z)) = add(add(n1,n1),multiply(Z,add(X_74,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X_74,n1)),add(n1,n1)) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    multiply(add(X_74,n1),add(n1,Z)) = add(add(n1,n1),multiply(Z,add(X_74,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(X_74,n1),add(n1,Z)),add(multiply(n1,add(X_74,n1)),multiply(Z,add(X_74,n1)))) )],[refute_0_354,refute_0_361]) ).

cnf(refute_0_363,plain,
    ( multiply(add(X_74,n1),add(n1,Z)) != add(add(n1,n1),multiply(Z,add(X_74,n1)))
    | add(add(n1,n1),multiply(Z,add(X_74,n1))) = multiply(add(X_74,n1),add(n1,Z)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(add(X_74,n1),add(n1,Z)))),bind(Y0,$fot(add(add(n1,n1),multiply(Z,add(X_74,n1)))))]]) ).

cnf(refute_0_364,plain,
    add(add(n1,n1),multiply(Z,add(X_74,n1))) = multiply(add(X_74,n1),add(n1,Z)),
    inference(resolve,[$cnf( $equal(multiply(add(X_74,n1),add(n1,Z)),add(add(n1,n1),multiply(Z,add(X_74,n1)))) )],[refute_0_362,refute_0_363]) ).

cnf(refute_0_365,plain,
    add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))),
    inference(subst,[],[refute_0_364:[bind(Z,$fot(inverse(add(inverse(n1),n1)))),bind(X_74,$fot(n1))]]) ).

cnf(refute_0_366,plain,
    ( add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) != multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))
    | n1 != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
    | n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))) ),[1],$fot(multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))))]]) ).

cnf(refute_0_367,plain,
    ( n1 != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
    | n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) ),
    inference(resolve,[$cnf( $equal(add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    ( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
    | n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) ),
    inference(resolve,[$cnf( $equal(n1,add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))) )],[refute_0_353,refute_0_367]) ).

cnf(refute_0_369,plain,
    n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))) )],[refute_0_350,refute_0_368]) ).

cnf(refute_0_370,plain,
    ( add(inverse(n1),n1) != add(X,n1)
    | n1 != multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))
    | n1 = multiply(add(n1,n1),add(n1,inverse(add(X,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))) ),[1,1,1,0],$fot(add(X,n1))]]) ).

cnf(refute_0_371,plain,
    ( n1 != multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))
    | n1 = multiply(add(n1,n1),add(n1,inverse(add(X,n1)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_163,refute_0_370]) ).

cnf(refute_0_372,plain,
    n1 = multiply(add(n1,n1),add(n1,inverse(add(X,n1)))),
    inference(resolve,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))) )],[refute_0_369,refute_0_371]) ).

cnf(refute_0_373,plain,
    n1 = multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))),
    inference(subst,[],[refute_0_372:[bind(X,$fot(n1))]]) ).

cnf(refute_0_374,plain,
    ( n1 != multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))
    | multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))) = n1 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))))]]) ).

cnf(refute_0_375,plain,
    multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))) = n1,
    inference(resolve,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) )],[refute_0_373,refute_0_374]) ).

cnf(refute_0_376,plain,
    ( multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))) != n1
    | multiply(n1,multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) != multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))
    | multiply(n1,n1) = multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))),multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) ),[0,1],$fot(n1)]]) ).

cnf(refute_0_377,plain,
    ( multiply(n1,multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) != multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))
    | multiply(n1,n1) = multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))) ),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))),n1) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    multiply(n1,n1) = multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))),multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) )],[refute_0_157,refute_0_377]) ).

cnf(refute_0_379,plain,
    ( multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))) != n1
    | multiply(n1,n1) != multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))
    | multiply(n1,n1) = n1 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,n1),multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) ),[1],$fot(n1)]]) ).

cnf(refute_0_380,plain,
    ( multiply(n1,n1) != multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))
    | multiply(n1,n1) = n1 ),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,inverse(add(n1,n1)))),n1) )],[refute_0_375,refute_0_379]) ).

cnf(refute_0_381,plain,
    multiply(n1,n1) = n1,
    inference(resolve,[$cnf( $equal(multiply(n1,n1),multiply(add(n1,n1),add(n1,inverse(add(n1,n1))))) )],[refute_0_378,refute_0_380]) ).

cnf(refute_0_382,plain,
    pixley(n1,add(X_56,n1),multiply(n1,n1)) = pixley(n1,add(X_56,n1),multiply(n1,n1)),
    introduced(tautology,[refl,[$fot(pixley(n1,add(X_56,n1),multiply(n1,n1)))]]) ).

cnf(refute_0_383,plain,
    ( multiply(n1,n1) != n1
    | pixley(n1,add(X_56,n1),multiply(n1,n1)) != pixley(n1,add(X_56,n1),multiply(n1,n1))
    | pixley(n1,add(X_56,n1),multiply(n1,n1)) = pixley(n1,add(X_56,n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_56,n1),multiply(n1,n1)),pixley(n1,add(X_56,n1),multiply(n1,n1))) ),[1,2],$fot(n1)]]) ).

cnf(refute_0_384,plain,
    ( multiply(n1,n1) != n1
    | pixley(n1,add(X_56,n1),multiply(n1,n1)) = pixley(n1,add(X_56,n1),n1) ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,n1),multiply(n1,n1)),pixley(n1,add(X_56,n1),multiply(n1,n1))) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    pixley(n1,add(X_56,n1),multiply(n1,n1)) = pixley(n1,add(X_56,n1),n1),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_381,refute_0_384]) ).

cnf(refute_0_386,plain,
    add(X_56,multiply(n1,n1)) = add(X_56,multiply(n1,n1)),
    introduced(tautology,[refl,[$fot(add(X_56,multiply(n1,n1)))]]) ).

cnf(refute_0_387,plain,
    ( multiply(n1,n1) != n1
    | add(X_56,multiply(n1,n1)) != add(X_56,multiply(n1,n1))
    | add(X_56,multiply(n1,n1)) = add(X_56,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_56,multiply(n1,n1)),add(X_56,multiply(n1,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_388,plain,
    ( multiply(n1,n1) != n1
    | add(X_56,multiply(n1,n1)) = add(X_56,n1) ),
    inference(resolve,[$cnf( $equal(add(X_56,multiply(n1,n1)),add(X_56,multiply(n1,n1))) )],[refute_0_386,refute_0_387]) ).

cnf(refute_0_389,plain,
    add(X_56,multiply(n1,n1)) = add(X_56,n1),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_381,refute_0_388]) ).

cnf(refute_0_390,plain,
    pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),
    introduced(tautology,[refl,[$fot(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)))]]) ).

cnf(refute_0_391,plain,
    ( add(X_56,multiply(n1,n1)) != add(X_56,n1)
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1))
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,n1),multiply(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1))) ),[1,1],$fot(add(X_56,n1))]]) ).

cnf(refute_0_392,plain,
    ( add(X_56,multiply(n1,n1)) != add(X_56,n1)
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,n1),multiply(n1,n1)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1))) )],[refute_0_390,refute_0_391]) ).

cnf(refute_0_393,plain,
    pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,n1),multiply(n1,n1)),
    inference(resolve,[$cnf( $equal(add(X_56,multiply(n1,n1)),add(X_56,n1)) )],[refute_0_389,refute_0_392]) ).

cnf(refute_0_394,plain,
    ( pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != pixley(n1,add(X_56,n1),multiply(n1,n1))
    | pixley(n1,add(X_56,n1),multiply(n1,n1)) != pixley(n1,add(X_56,n1),n1)
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,n1),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)))),bind(Y0,$fot(pixley(n1,add(X_56,n1),multiply(n1,n1)))),bind(Z0,$fot(pixley(n1,add(X_56,n1),n1)))]]) ).

cnf(refute_0_395,plain,
    ( pixley(n1,add(X_56,n1),multiply(n1,n1)) != pixley(n1,add(X_56,n1),n1)
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,n1),n1) ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),pixley(n1,add(X_56,n1),multiply(n1,n1))) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = pixley(n1,add(X_56,n1),n1),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,n1),multiply(n1,n1)),pixley(n1,add(X_56,n1),n1)) )],[refute_0_385,refute_0_395]) ).

cnf(refute_0_397,plain,
    ( pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != pixley(n1,add(X_56,n1),n1)
    | pixley(n1,add(X_56,n1),n1) != n1
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = n1 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)))),bind(Y0,$fot(pixley(n1,add(X_56,n1),n1))),bind(Z0,$fot(n1))]]) ).

cnf(refute_0_398,plain,
    ( pixley(n1,add(X_56,n1),n1) != n1
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = n1 ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),pixley(n1,add(X_56,n1),n1)) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) = n1,
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,n1),n1),n1) )],[refute_0_144,refute_0_398]) ).

cnf(refute_0_400,plain,
    ( pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))
    | pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != n1
    | n1 = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))) ),[0],$fot(n1)]]) ).

cnf(refute_0_401,plain,
    ( pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))
    | n1 = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),n1) )],[refute_0_399,refute_0_400]) ).

cnf(refute_0_402,plain,
    multiply(add(X_23,n1),add(X_58,n1)) = add(add(X_23,n1),multiply(n1,add(X_23,n1))),
    inference(subst,[],[refute_0_180:[bind(X,$fot(X_58)),bind(X_22,$fot(add(X_23,n1)))]]) ).

cnf(refute_0_403,plain,
    multiply(n1,add(X,n1)) = multiply(n1,add(X_23,n1)),
    inference(subst,[],[refute_0_110:[bind(X_22,$fot(n1))]]) ).

cnf(refute_0_404,plain,
    ( multiply(n1,add(X,n1)) != multiply(n1,add(X_23,n1))
    | multiply(n1,add(X_23,n1)) = multiply(n1,add(X,n1)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,add(X,n1)))),bind(Y0,$fot(multiply(n1,add(X_23,n1))))]]) ).

cnf(refute_0_405,plain,
    multiply(n1,add(X_23,n1)) = multiply(n1,add(X,n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),multiply(n1,add(X_23,n1))) )],[refute_0_403,refute_0_404]) ).

cnf(refute_0_406,plain,
    ( multiply(add(X_23,n1),add(X_58,n1)) != add(add(X_23,n1),multiply(n1,add(X_23,n1)))
    | multiply(n1,add(X_23,n1)) != multiply(n1,add(X,n1))
    | multiply(add(X_23,n1),add(X_58,n1)) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_23,n1),add(X_58,n1)),add(add(X_23,n1),multiply(n1,add(X_23,n1)))) ),[1,1],$fot(multiply(n1,add(X,n1)))]]) ).

cnf(refute_0_407,plain,
    ( multiply(add(X_23,n1),add(X_58,n1)) != add(add(X_23,n1),multiply(n1,add(X_23,n1)))
    | multiply(add(X_23,n1),add(X_58,n1)) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X_23,n1)),multiply(n1,add(X,n1))) )],[refute_0_405,refute_0_406]) ).

cnf(refute_0_408,plain,
    multiply(add(X_23,n1),add(X_58,n1)) = add(add(X_23,n1),multiply(n1,add(X,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(X_23,n1),add(X_58,n1)),add(add(X_23,n1),multiply(n1,add(X_23,n1)))) )],[refute_0_402,refute_0_407]) ).

cnf(refute_0_409,plain,
    multiply(add(X_23,n1),add(X_58,n1)) = add(X_58,n1),
    inference(subst,[],[refute_0_265:[bind(X,$fot(X_58)),bind(X_27,$fot(X_23))]]) ).

cnf(refute_0_410,plain,
    ( multiply(add(X_23,n1),add(X_58,n1)) != add(X_58,n1)
    | multiply(add(X_23,n1),add(X_58,n1)) != add(add(X_23,n1),multiply(n1,add(X,n1)))
    | add(X_58,n1) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_23,n1),add(X_58,n1)),add(add(X_23,n1),multiply(n1,add(X,n1)))) ),[0],$fot(add(X_58,n1))]]) ).

cnf(refute_0_411,plain,
    ( multiply(add(X_23,n1),add(X_58,n1)) != add(add(X_23,n1),multiply(n1,add(X,n1)))
    | add(X_58,n1) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_23,n1),add(X_58,n1)),add(X_58,n1)) )],[refute_0_409,refute_0_410]) ).

cnf(refute_0_412,plain,
    add(X_58,n1) = add(add(X_23,n1),multiply(n1,add(X,n1))),
    inference(resolve,[$cnf( $equal(multiply(add(X_23,n1),add(X_58,n1)),add(add(X_23,n1),multiply(n1,add(X,n1)))) )],[refute_0_408,refute_0_411]) ).

cnf(refute_0_413,plain,
    add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X_73,n1))),
    inference(subst,[],[refute_0_274:[bind(X,$fot(X_73))]]) ).

cnf(refute_0_414,plain,
    ( add(inverse(n1),n1) != add(X,n1)
    | add(inverse(n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(X_73,n1)))
    | add(inverse(n1),n1) = add(add(X,n1),multiply(n1,add(X_73,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(X_73,n1)))) ),[1,0],$fot(add(X,n1))]]) ).

cnf(refute_0_415,plain,
    ( add(inverse(n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(X_73,n1)))
    | add(inverse(n1),n1) = add(add(X,n1),multiply(n1,add(X_73,n1))) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_163,refute_0_414]) ).

cnf(refute_0_416,plain,
    add(inverse(n1),n1) = add(add(X,n1),multiply(n1,add(X_73,n1))),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(X_73,n1)))) )],[refute_0_413,refute_0_415]) ).

cnf(refute_0_417,plain,
    ( add(inverse(n1),n1) != add(add(X,n1),multiply(n1,add(X_73,n1)))
    | add(add(X,n1),multiply(n1,add(X_73,n1))) = add(inverse(n1),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(add(inverse(n1),n1))),bind(Y0,$fot(add(add(X,n1),multiply(n1,add(X_73,n1)))))]]) ).

cnf(refute_0_418,plain,
    add(add(X,n1),multiply(n1,add(X_73,n1))) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(X,n1),multiply(n1,add(X_73,n1)))) )],[refute_0_416,refute_0_417]) ).

cnf(refute_0_419,plain,
    add(add(X_23,n1),multiply(n1,add(X,n1))) = add(inverse(n1),n1),
    inference(subst,[],[refute_0_418:[bind(X,$fot(X_23)),bind(X_73,$fot(X))]]) ).

cnf(refute_0_420,plain,
    ( add(X_58,n1) != add(add(X_23,n1),multiply(n1,add(X,n1)))
    | add(add(X_23,n1),multiply(n1,add(X,n1))) != add(inverse(n1),n1)
    | add(X_58,n1) = add(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X_58,n1),add(inverse(n1),n1)) ),[0],$fot(add(add(X_23,n1),multiply(n1,add(X,n1))))]]) ).

cnf(refute_0_421,plain,
    ( add(X_58,n1) != add(add(X_23,n1),multiply(n1,add(X,n1)))
    | add(X_58,n1) = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(add(add(X_23,n1),multiply(n1,add(X,n1))),add(inverse(n1),n1)) )],[refute_0_419,refute_0_420]) ).

cnf(refute_0_422,plain,
    add(X_58,n1) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(X_58,n1),add(add(X_23,n1),multiply(n1,add(X,n1)))) )],[refute_0_412,refute_0_421]) ).

cnf(refute_0_423,plain,
    add(inverse(add(X_56,n1)),n1) = add(inverse(n1),n1),
    inference(subst,[],[refute_0_422:[bind(X_58,$fot(inverse(add(X_56,n1))))]]) ).

cnf(refute_0_424,plain,
    multiply(multiply(n1,n1),n1) = multiply(multiply(n1,n1),n1),
    introduced(tautology,[refl,[$fot(multiply(multiply(n1,n1),n1))]]) ).

cnf(refute_0_425,plain,
    ( multiply(multiply(n1,n1),n1) != multiply(multiply(n1,n1),n1)
    | multiply(n1,n1) != n1
    | multiply(multiply(n1,n1),n1) = multiply(n1,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(n1,n1),n1),multiply(multiply(n1,n1),n1)) ),[1,0],$fot(n1)]]) ).

cnf(refute_0_426,plain,
    ( multiply(n1,n1) != n1
    | multiply(multiply(n1,n1),n1) = multiply(n1,n1) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),n1),multiply(multiply(n1,n1),n1)) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    multiply(multiply(n1,n1),n1) = multiply(n1,n1),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_381,refute_0_426]) ).

cnf(refute_0_428,plain,
    ( multiply(multiply(n1,n1),n1) != multiply(n1,n1)
    | multiply(n1,n1) != n1
    | multiply(multiply(n1,n1),n1) = n1 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(n1,n1),n1))),bind(Y0,$fot(multiply(n1,n1))),bind(Z0,$fot(n1))]]) ).

cnf(refute_0_429,plain,
    ( multiply(n1,n1) != n1
    | multiply(multiply(n1,n1),n1) = n1 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),n1),multiply(n1,n1)) )],[refute_0_427,refute_0_428]) ).

cnf(refute_0_430,plain,
    multiply(multiply(n1,n1),n1) = n1,
    inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_381,refute_0_429]) ).

cnf(refute_0_431,plain,
    add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)),
    introduced(tautology,[refl,[$fot(add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)))]]) ).

cnf(refute_0_432,plain,
    ( multiply(multiply(n1,n1),n1) != n1
    | add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) != add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1))
    | add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_433,plain,
    ( multiply(multiply(n1,n1),n1) != n1
    | add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1))) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),n1),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),n1),n1) )],[refute_0_430,refute_0_433]) ).

cnf(refute_0_435,plain,
    inverse(add(X_56,multiply(n1,n1))) = inverse(add(X_56,multiply(n1,n1))),
    introduced(tautology,[refl,[$fot(inverse(add(X_56,multiply(n1,n1))))]]) ).

cnf(refute_0_436,plain,
    ( add(X_56,multiply(n1,n1)) != add(X_56,n1)
    | inverse(add(X_56,multiply(n1,n1))) != inverse(add(X_56,multiply(n1,n1)))
    | inverse(add(X_56,multiply(n1,n1))) = inverse(add(X_56,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_56,multiply(n1,n1))),inverse(add(X_56,multiply(n1,n1)))) ),[1,0],$fot(add(X_56,n1))]]) ).

cnf(refute_0_437,plain,
    ( add(X_56,multiply(n1,n1)) != add(X_56,n1)
    | inverse(add(X_56,multiply(n1,n1))) = inverse(add(X_56,n1)) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_56,multiply(n1,n1))),inverse(add(X_56,multiply(n1,n1)))) )],[refute_0_435,refute_0_436]) ).

cnf(refute_0_438,plain,
    inverse(add(X_56,multiply(n1,n1))) = inverse(add(X_56,n1)),
    inference(resolve,[$cnf( $equal(add(X_56,multiply(n1,n1)),add(X_56,n1)) )],[refute_0_389,refute_0_437]) ).

cnf(refute_0_439,plain,
    add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),
    introduced(tautology,[refl,[$fot(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)))]]) ).

cnf(refute_0_440,plain,
    ( add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))
    | inverse(add(X_56,multiply(n1,n1))) != inverse(add(X_56,n1))
    | add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))) ),[1,0],$fot(inverse(add(X_56,n1)))]]) ).

cnf(refute_0_441,plain,
    ( inverse(add(X_56,multiply(n1,n1))) != inverse(add(X_56,n1))
    | add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))) )],[refute_0_439,refute_0_440]) ).

cnf(refute_0_442,plain,
    add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)),
    inference(resolve,[$cnf( $equal(inverse(add(X_56,multiply(n1,n1))),inverse(add(X_56,n1))) )],[refute_0_438,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) != add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1))
    | add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) != add(inverse(add(X_56,n1)),n1)
    | add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)))),bind(Y0,$fot(add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)))),bind(Z0,$fot(add(inverse(add(X_56,n1)),n1)))]]) ).

cnf(refute_0_444,plain,
    ( add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)) != add(inverse(add(X_56,n1)),n1)
    | add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1))) )],[refute_0_442,refute_0_443]) ).

cnf(refute_0_445,plain,
    add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(add(X_56,n1)),n1),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,n1)),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,n1)),n1)) )],[refute_0_434,refute_0_444]) ).

cnf(refute_0_446,plain,
    ( add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) != add(inverse(add(X_56,n1)),n1)
    | add(inverse(add(X_56,n1)),n1) != add(inverse(n1),n1)
    | add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(n1),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)))),bind(Y0,$fot(add(inverse(add(X_56,n1)),n1))),bind(Z0,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_447,plain,
    ( add(inverse(add(X_56,n1)),n1) != add(inverse(n1),n1)
    | add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),add(inverse(add(X_56,n1)),n1)) )],[refute_0_445,refute_0_446]) ).

cnf(refute_0_448,plain,
    add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,n1)),n1),add(inverse(n1),n1)) )],[refute_0_423,refute_0_447]) ).

cnf(refute_0_449,plain,
    ( add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)) != add(inverse(n1),n1)
    | n1 != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))
    | n1 = add(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))) ),[1],$fot(add(inverse(n1),n1))]]) ).

cnf(refute_0_450,plain,
    ( n1 != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))
    | n1 = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1)),add(inverse(n1),n1)) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    ( pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)) != add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))
    | n1 = add(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(n1,add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))) )],[refute_0_401,refute_0_450]) ).

cnf(refute_0_452,plain,
    n1 = add(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_56,multiply(n1,n1)),multiply(n1,n1)),add(inverse(add(X_56,multiply(n1,n1))),multiply(multiply(n1,n1),n1))) )],[refute_0_143,refute_0_451]) ).

cnf(refute_0_453,plain,
    ( n1 != add(inverse(n1),n1)
    | add(inverse(n1),n1) = n1 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(n1),n1)))]]) ).

cnf(refute_0_454,plain,
    add(inverse(n1),n1) = n1,
    inference(resolve,[$cnf( $equal(n1,add(inverse(n1),n1)) )],[refute_0_452,refute_0_453]) ).

cnf(refute_0_455,plain,
    add(add(X_43,add(X_44,n1)),n1) = add(inverse(n1),n1),
    inference(subst,[],[refute_0_422:[bind(X_58,$fot(add(X_43,add(X_44,n1))))]]) ).

cnf(refute_0_456,plain,
    ( add(add(X_43,add(X_44,n1)),n1) != add(inverse(n1),n1)
    | add(inverse(n1),n1) != n1
    | add(add(X_43,add(X_44,n1)),n1) = n1 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(add(X_43,add(X_44,n1)),n1))),bind(Y0,$fot(add(inverse(n1),n1))),bind(Z0,$fot(n1))]]) ).

cnf(refute_0_457,plain,
    ( add(inverse(n1),n1) != n1
    | add(add(X_43,add(X_44,n1)),n1) = n1 ),
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),n1),add(inverse(n1),n1)) )],[refute_0_455,refute_0_456]) ).

cnf(refute_0_458,plain,
    add(add(X_43,add(X_44,n1)),n1) = n1,
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_454,refute_0_457]) ).

cnf(refute_0_459,plain,
    add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),
    introduced(tautology,[refl,[$fot(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)))]]) ).

cnf(refute_0_460,plain,
    ( add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) != add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))
    | add(inverse(n1),n1) != n1
    | add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = add(add(X_43,add(X_44,n1)),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_461,plain,
    ( add(inverse(n1),n1) != n1
    | add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = add(add(X_43,add(X_44,n1)),n1) ),
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))) )],[refute_0_459,refute_0_460]) ).

cnf(refute_0_462,plain,
    add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = add(add(X_43,add(X_44,n1)),n1),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_454,refute_0_461]) ).

cnf(refute_0_463,plain,
    ( add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) != add(add(X_43,add(X_44,n1)),n1)
    | add(add(X_43,add(X_44,n1)),n1) != n1
    | add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = n1 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)))),bind(Y0,$fot(add(add(X_43,add(X_44,n1)),n1))),bind(Z0,$fot(n1))]]) ).

cnf(refute_0_464,plain,
    ( add(add(X_43,add(X_44,n1)),n1) != n1
    | add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = n1 ),
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),add(add(X_43,add(X_44,n1)),n1)) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) = n1,
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),n1),n1) )],[refute_0_458,refute_0_464]) ).

cnf(refute_0_466,plain,
    ( add(X_44,n1) != add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))
    | add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)) != n1
    | add(X_44,n1) = n1 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X_44,n1),n1) ),[0],$fot(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)))]]) ).

cnf(refute_0_467,plain,
    ( add(X_44,n1) != add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))
    | add(X_44,n1) = n1 ),
    inference(resolve,[$cnf( $equal(add(add(X_43,add(X_44,n1)),add(inverse(n1),n1)),n1) )],[refute_0_465,refute_0_466]) ).

cnf(refute_0_468,plain,
    add(X_44,n1) = n1,
    inference(resolve,[$cnf( $equal(add(X_44,n1),add(add(X_43,add(X_44,n1)),add(inverse(n1),n1))) )],[refute_0_136,refute_0_467]) ).

cnf(refute_0_469,plain,
    add(X_30,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(X_30))]]) ).

cnf(refute_0_470,plain,
    inverse(add(X_30,n1)) = inverse(add(X_30,n1)),
    introduced(tautology,[refl,[$fot(inverse(add(X_30,n1)))]]) ).

cnf(refute_0_471,plain,
    ( add(X_30,n1) != n1
    | inverse(add(X_30,n1)) != inverse(add(X_30,n1))
    | inverse(add(X_30,n1)) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_30,n1)),inverse(add(X_30,n1))) ),[1,0],$fot(n1)]]) ).

cnf(refute_0_472,plain,
    ( add(X_30,n1) != n1
    | inverse(add(X_30,n1)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_30,n1)),inverse(add(X_30,n1))) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    inverse(add(X_30,n1)) = inverse(n1),
    inference(resolve,[$cnf( $equal(add(X_30,n1),n1) )],[refute_0_469,refute_0_472]) ).

cnf(refute_0_474,plain,
    multiply(inverse(add(X_30,n1)),n1) = multiply(inverse(add(X_30,n1)),n1),
    introduced(tautology,[refl,[$fot(multiply(inverse(add(X_30,n1)),n1))]]) ).

cnf(refute_0_475,plain,
    ( multiply(inverse(add(X_30,n1)),n1) != multiply(inverse(add(X_30,n1)),n1)
    | inverse(add(X_30,n1)) != inverse(n1)
    | multiply(inverse(add(X_30,n1)),n1) = multiply(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_30,n1)),n1),multiply(inverse(add(X_30,n1)),n1)) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_476,plain,
    ( inverse(add(X_30,n1)) != inverse(n1)
    | multiply(inverse(add(X_30,n1)),n1) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_30,n1)),n1),multiply(inverse(add(X_30,n1)),n1)) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    multiply(inverse(add(X_30,n1)),n1) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(inverse(add(X_30,n1)),inverse(n1)) )],[refute_0_473,refute_0_476]) ).

cnf(refute_0_478,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),n1),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(add(X_30,n1)),n1),n1))]]) ).

cnf(refute_0_479,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),n1)
    | multiply(inverse(add(X_30,n1)),n1) != multiply(inverse(n1),n1)
    | multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(n1),n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),n1)) ),[1,0],$fot(multiply(inverse(n1),n1))]]) ).

cnf(refute_0_480,plain,
    ( multiply(inverse(add(X_30,n1)),n1) != multiply(inverse(n1),n1)
    | multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(n1),n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),n1)) )],[refute_0_478,refute_0_479]) ).

cnf(refute_0_481,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),n1) = multiply(multiply(inverse(n1),n1),n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_30,n1)),n1),multiply(inverse(n1),n1)) )],[refute_0_477,refute_0_480]) ).

cnf(refute_0_482,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(n1),n1),n1)
    | multiply(multiply(inverse(n1),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) ),[0],$fot(multiply(multiply(inverse(n1),n1),n1))]]) ).

cnf(refute_0_483,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(n1),n1),n1) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(n1),n1),n1)) )],[refute_0_481,refute_0_482]) ).

cnf(refute_0_484,plain,
    multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) = multiply(n1,add(inverse(n1),inverse(n1))),
    inference(subst,[],[refute_0_308:[bind(X_32,$fot(inverse(n1)))]]) ).

cnf(refute_0_485,plain,
    inverse(multiply(n1,n1)) = inverse(multiply(n1,n1)),
    introduced(tautology,[refl,[$fot(inverse(multiply(n1,n1)))]]) ).

cnf(refute_0_486,plain,
    ( multiply(n1,n1) != n1
    | inverse(multiply(n1,n1)) != inverse(multiply(n1,n1))
    | inverse(multiply(n1,n1)) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(n1,n1)),inverse(multiply(n1,n1))) ),[1,0],$fot(n1)]]) ).

cnf(refute_0_487,plain,
    ( multiply(n1,n1) != n1
    | inverse(multiply(n1,n1)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(n1,n1)),inverse(multiply(n1,n1))) )],[refute_0_485,refute_0_486]) ).

cnf(refute_0_488,plain,
    inverse(multiply(n1,n1)) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_381,refute_0_487]) ).

cnf(refute_0_489,plain,
    add(inverse(n1),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(multiply(n1,n1))),
    introduced(tautology,[refl,[$fot(add(inverse(n1),inverse(multiply(n1,n1))))]]) ).

cnf(refute_0_490,plain,
    ( add(inverse(n1),inverse(multiply(n1,n1))) != add(inverse(n1),inverse(multiply(n1,n1)))
    | inverse(multiply(n1,n1)) != inverse(n1)
    | add(inverse(n1),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),inverse(multiply(n1,n1))),add(inverse(n1),inverse(multiply(n1,n1)))) ),[1,1],$fot(inverse(n1))]]) ).

cnf(refute_0_491,plain,
    ( inverse(multiply(n1,n1)) != inverse(n1)
    | add(inverse(n1),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(multiply(n1,n1))),add(inverse(n1),inverse(multiply(n1,n1)))) )],[refute_0_489,refute_0_490]) ).

cnf(refute_0_492,plain,
    add(inverse(n1),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(n1)),
    inference(resolve,[$cnf( $equal(inverse(multiply(n1,n1)),inverse(n1)) )],[refute_0_488,refute_0_491]) ).

cnf(refute_0_493,plain,
    add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))),
    introduced(tautology,[refl,[$fot(add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))]]) ).

cnf(refute_0_494,plain,
    ( add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) != add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))
    | inverse(add(X_30,n1)) != inverse(n1)
    | add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(multiply(n1,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_495,plain,
    ( inverse(add(X_30,n1)) != inverse(n1)
    | add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(multiply(n1,n1))) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) )],[refute_0_493,refute_0_494]) ).

cnf(refute_0_496,plain,
    add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(multiply(n1,n1))),
    inference(resolve,[$cnf( $equal(inverse(add(X_30,n1)),inverse(n1)) )],[refute_0_473,refute_0_495]) ).

cnf(refute_0_497,plain,
    ( add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) != add(inverse(n1),inverse(multiply(n1,n1)))
    | add(inverse(n1),inverse(multiply(n1,n1))) != add(inverse(n1),inverse(n1))
    | add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(n1)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))),bind(Y0,$fot(add(inverse(n1),inverse(multiply(n1,n1))))),bind(Z0,$fot(add(inverse(n1),inverse(n1))))]]) ).

cnf(refute_0_498,plain,
    ( add(inverse(n1),inverse(multiply(n1,n1))) != add(inverse(n1),inverse(n1))
    | add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))),add(inverse(n1),inverse(multiply(n1,n1)))) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) = add(inverse(n1),inverse(n1)),
    inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(multiply(n1,n1))),add(inverse(n1),inverse(n1))) )],[refute_0_492,refute_0_498]) ).

cnf(refute_0_500,plain,
    multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))))]]) ).

cnf(refute_0_501,plain,
    ( multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) != add(inverse(n1),inverse(n1))
    | multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) ),[1,1],$fot(add(inverse(n1),inverse(n1)))]]) ).

cnf(refute_0_502,plain,
    ( add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))) != add(inverse(n1),inverse(n1))
    | multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) )],[refute_0_500,refute_0_501]) ).

cnf(refute_0_503,plain,
    multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))),
    inference(resolve,[$cnf( $equal(add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))),add(inverse(n1),inverse(n1))) )],[refute_0_499,refute_0_502]) ).

cnf(refute_0_504,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))))]]) ).

cnf(refute_0_505,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(inverse(add(X_30,n1)),n1) != multiply(inverse(n1),n1)
    | multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) ),[1,0],$fot(multiply(inverse(n1),n1))]]) ).

cnf(refute_0_506,plain,
    ( multiply(inverse(add(X_30,n1)),n1) != multiply(inverse(n1),n1)
    | multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) )],[refute_0_504,refute_0_505]) ).

cnf(refute_0_507,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_30,n1)),n1),multiply(inverse(n1),n1)) )],[refute_0_477,refute_0_506]) ).

cnf(refute_0_508,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))))),bind(Y0,$fot(multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))))),bind(Z0,$fot(multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1)))))]]) ).

cnf(refute_0_509,plain,
    ( multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1)))) )],[refute_0_503,refute_0_509]) ).

cnf(refute_0_511,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) != multiply(n1,add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(n1,add(inverse(n1),inverse(n1))) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))))),bind(Y0,$fot(multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))))),bind(Z0,$fot(multiply(n1,add(inverse(n1),inverse(n1)))))]]) ).

cnf(refute_0_512,plain,
    ( multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))) != multiply(n1,add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(n1,add(inverse(n1),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1)))) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) = multiply(n1,add(inverse(n1),inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),add(inverse(n1),inverse(n1))),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_484,refute_0_512]) ).

cnf(refute_0_514,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))) != multiply(n1,add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(n1),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(n1),n1),n1) = multiply(n1,add(inverse(n1),inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(n1),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) ),[1],$fot(multiply(n1,add(inverse(n1),inverse(n1))))]]) ).

cnf(refute_0_515,plain,
    ( multiply(multiply(inverse(n1),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(n1),n1),n1) = multiply(n1,add(inverse(n1),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1)))),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_513,refute_0_514]) ).

cnf(refute_0_516,plain,
    ( multiply(multiply(inverse(add(X_30,n1)),n1),n1) != multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(n1),n1),n1) = multiply(n1,add(inverse(n1),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) )],[refute_0_483,refute_0_515]) ).

cnf(refute_0_517,plain,
    multiply(multiply(inverse(n1),n1),n1) = multiply(n1,add(inverse(n1),inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_30,n1)),n1),n1),multiply(multiply(inverse(add(X_30,n1)),n1),add(inverse(add(X_30,n1)),inverse(multiply(n1,n1))))) )],[refute_0_86,refute_0_516]) ).

cnf(refute_0_518,plain,
    multiply(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(inverse(add(X_84,n1)),add(n1,n1)),
    inference(subst,[],[refute_0_10:[bind(X_22,$fot(add(n1,n1))),bind(X_23,$fot(n1)),bind(X_24,$fot(inverse(add(X_84,n1))))]]) ).

cnf(refute_0_519,plain,
    n1 = multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),
    inference(subst,[],[refute_0_372:[bind(X,$fot(X_84))]]) ).

cnf(refute_0_520,plain,
    ( n1 != multiply(add(n1,n1),add(n1,inverse(add(X_84,n1))))
    | multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))) = n1 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1))))))]]) ).

cnf(refute_0_521,plain,
    multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))) = n1,
    inference(resolve,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,inverse(add(X_84,n1))))) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    ( multiply(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))) != n1
    | multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(inverse(add(X_84,n1)),add(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(inverse(add(X_84,n1)),add(n1,n1))) ),[0,0],$fot(n1)]]) ).

cnf(refute_0_523,plain,
    ( multiply(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(inverse(add(X_84,n1)),add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),n1) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(inverse(add(X_84,n1)),add(n1,n1)),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(n1,n1),add(n1,inverse(add(X_84,n1)))),multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(inverse(add(X_84,n1)),add(n1,n1))) )],[refute_0_518,refute_0_523]) ).

cnf(refute_0_525,plain,
    add(n1,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(n1))]]) ).

cnf(refute_0_526,plain,
    multiply(inverse(n1),add(n1,n1)) = multiply(inverse(n1),add(n1,n1)),
    introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(n1,n1)))]]) ).

cnf(refute_0_527,plain,
    ( multiply(inverse(n1),add(n1,n1)) != multiply(inverse(n1),add(n1,n1))
    | add(n1,n1) != n1
    | multiply(inverse(n1),add(n1,n1)) = multiply(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(n1,n1)),multiply(inverse(n1),add(n1,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_528,plain,
    ( add(n1,n1) != n1
    | multiply(inverse(n1),add(n1,n1)) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,n1)),multiply(inverse(n1),add(n1,n1))) )],[refute_0_526,refute_0_527]) ).

cnf(refute_0_529,plain,
    multiply(inverse(n1),add(n1,n1)) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_525,refute_0_528]) ).

cnf(refute_0_530,plain,
    add(X_84,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(X_84))]]) ).

cnf(refute_0_531,plain,
    inverse(add(X_84,n1)) = inverse(add(X_84,n1)),
    introduced(tautology,[refl,[$fot(inverse(add(X_84,n1)))]]) ).

cnf(refute_0_532,plain,
    ( add(X_84,n1) != n1
    | inverse(add(X_84,n1)) != inverse(add(X_84,n1))
    | inverse(add(X_84,n1)) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_84,n1)),inverse(add(X_84,n1))) ),[1,0],$fot(n1)]]) ).

cnf(refute_0_533,plain,
    ( add(X_84,n1) != n1
    | inverse(add(X_84,n1)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(inverse(add(X_84,n1)),inverse(add(X_84,n1))) )],[refute_0_531,refute_0_532]) ).

cnf(refute_0_534,plain,
    inverse(add(X_84,n1)) = inverse(n1),
    inference(resolve,[$cnf( $equal(add(X_84,n1),n1) )],[refute_0_530,refute_0_533]) ).

cnf(refute_0_535,plain,
    multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(add(X_84,n1)),add(n1,n1)),
    introduced(tautology,[refl,[$fot(multiply(inverse(add(X_84,n1)),add(n1,n1)))]]) ).

cnf(refute_0_536,plain,
    ( multiply(inverse(add(X_84,n1)),add(n1,n1)) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | inverse(add(X_84,n1)) != inverse(n1)
    | multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(n1),add(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_84,n1)),add(n1,n1)),multiply(inverse(add(X_84,n1)),add(n1,n1))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_537,plain,
    ( inverse(add(X_84,n1)) != inverse(n1)
    | multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(n1),add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_84,n1)),add(n1,n1)),multiply(inverse(add(X_84,n1)),add(n1,n1))) )],[refute_0_535,refute_0_536]) ).

cnf(refute_0_538,plain,
    multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(n1),add(n1,n1)),
    inference(resolve,[$cnf( $equal(inverse(add(X_84,n1)),inverse(n1)) )],[refute_0_534,refute_0_537]) ).

cnf(refute_0_539,plain,
    ( multiply(inverse(add(X_84,n1)),add(n1,n1)) != multiply(inverse(n1),add(n1,n1))
    | multiply(inverse(n1),add(n1,n1)) != multiply(inverse(n1),n1)
    | multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(n1),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(add(X_84,n1)),add(n1,n1)))),bind(Y0,$fot(multiply(inverse(n1),add(n1,n1)))),bind(Z0,$fot(multiply(inverse(n1),n1)))]]) ).

cnf(refute_0_540,plain,
    ( multiply(inverse(n1),add(n1,n1)) != multiply(inverse(n1),n1)
    | multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_84,n1)),add(n1,n1)),multiply(inverse(n1),add(n1,n1))) )],[refute_0_538,refute_0_539]) ).

cnf(refute_0_541,plain,
    multiply(inverse(add(X_84,n1)),add(n1,n1)) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,n1)),multiply(inverse(n1),n1)) )],[refute_0_529,refute_0_540]) ).

cnf(refute_0_542,plain,
    multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))),
    introduced(tautology,[refl,[$fot(multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))))]]) ).

cnf(refute_0_543,plain,
    ( multiply(inverse(add(X_84,n1)),add(n1,n1)) != multiply(inverse(n1),n1)
    | multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1)))
    | multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(n1,multiply(inverse(n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1)))) ),[1,1],$fot(multiply(inverse(n1),n1))]]) ).

cnf(refute_0_544,plain,
    ( multiply(inverse(add(X_84,n1)),add(n1,n1)) != multiply(inverse(n1),n1)
    | multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(n1,multiply(inverse(n1),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1)))) )],[refute_0_542,refute_0_543]) ).

cnf(refute_0_545,plain,
    multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) = multiply(n1,multiply(inverse(n1),n1)),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_84,n1)),add(n1,n1)),multiply(inverse(n1),n1)) )],[refute_0_541,refute_0_544]) ).

cnf(refute_0_546,plain,
    ( multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(n1,multiply(inverse(n1),n1))
    | multiply(n1,multiply(inverse(n1),n1)) = multiply(inverse(add(X_84,n1)),add(n1,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(inverse(add(X_84,n1)),add(n1,n1))) ),[0],$fot(multiply(n1,multiply(inverse(n1),n1)))]]) ).

cnf(refute_0_547,plain,
    ( multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(n1,multiply(inverse(n1),n1)) = multiply(inverse(add(X_84,n1)),add(n1,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(n1,multiply(inverse(n1),n1))) )],[refute_0_545,refute_0_546]) ).

cnf(refute_0_548,plain,
    ( multiply(inverse(add(X_84,n1)),add(n1,n1)) != multiply(inverse(n1),n1)
    | multiply(n1,multiply(inverse(n1),n1)) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(n1,multiply(inverse(n1),n1)) = multiply(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(inverse(n1),n1)),multiply(inverse(add(X_84,n1)),add(n1,n1))) ),[1],$fot(multiply(inverse(n1),n1))]]) ).

cnf(refute_0_549,plain,
    ( multiply(n1,multiply(inverse(n1),n1)) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(n1,multiply(inverse(n1),n1)) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(add(X_84,n1)),add(n1,n1)),multiply(inverse(n1),n1)) )],[refute_0_541,refute_0_548]) ).

cnf(refute_0_550,plain,
    ( multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))) != multiply(inverse(add(X_84,n1)),add(n1,n1))
    | multiply(n1,multiply(inverse(n1),n1)) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(n1),n1)),multiply(inverse(add(X_84,n1)),add(n1,n1))) )],[refute_0_547,refute_0_549]) ).

cnf(refute_0_551,plain,
    multiply(n1,multiply(inverse(n1),n1)) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(add(X_84,n1)),add(n1,n1))),multiply(inverse(add(X_84,n1)),add(n1,n1))) )],[refute_0_524,refute_0_550]) ).

cnf(refute_0_552,plain,
    multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),add(X_23,n1)),
    inference(subst,[],[refute_0_110:[bind(X_22,$fot(inverse(X_23)))]]) ).

cnf(refute_0_553,plain,
    multiply(inverse(X_23),add(X_23,n1)) = add(inverse(X_23),inverse(X_23)),
    inference(subst,[],[refute_0_189:[bind(X,$fot(X_23))]]) ).

cnf(refute_0_554,plain,
    ( multiply(inverse(X_23),add(X,n1)) != multiply(inverse(X_23),add(X_23,n1))
    | multiply(inverse(X_23),add(X_23,n1)) != add(inverse(X_23),inverse(X_23))
    | multiply(inverse(X_23),add(X,n1)) = add(inverse(X_23),inverse(X_23)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_23),add(X,n1)),add(inverse(X_23),inverse(X_23))) ),[0],$fot(multiply(inverse(X_23),add(X_23,n1)))]]) ).

cnf(refute_0_555,plain,
    ( multiply(inverse(X_23),add(X,n1)) != multiply(inverse(X_23),add(X_23,n1))
    | multiply(inverse(X_23),add(X,n1)) = add(inverse(X_23),inverse(X_23)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X_23,n1)),add(inverse(X_23),inverse(X_23))) )],[refute_0_553,refute_0_554]) ).

cnf(refute_0_556,plain,
    multiply(inverse(X_23),add(X,n1)) = add(inverse(X_23),inverse(X_23)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),add(X_23,n1))) )],[refute_0_552,refute_0_555]) ).

cnf(refute_0_557,plain,
    add(X,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(X))]]) ).

cnf(refute_0_558,plain,
    multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),add(X,n1)),
    introduced(tautology,[refl,[$fot(multiply(inverse(X_23),add(X,n1)))]]) ).

cnf(refute_0_559,plain,
    ( multiply(inverse(X_23),add(X,n1)) != multiply(inverse(X_23),add(X,n1))
    | add(X,n1) != n1
    | multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),add(X,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_560,plain,
    ( add(X,n1) != n1
    | multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),add(X,n1))) )],[refute_0_558,refute_0_559]) ).

cnf(refute_0_561,plain,
    multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),n1),
    inference(resolve,[$cnf( $equal(add(X,n1),n1) )],[refute_0_557,refute_0_560]) ).

cnf(refute_0_562,plain,
    ( multiply(inverse(X_23),add(X,n1)) != multiply(inverse(X_23),n1)
    | multiply(inverse(X_23),add(X,n1)) != add(inverse(X_23),inverse(X_23))
    | multiply(inverse(X_23),n1) = add(inverse(X_23),inverse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),add(inverse(X_23),inverse(X_23))) ),[0],$fot(multiply(inverse(X_23),n1))]]) ).

cnf(refute_0_563,plain,
    ( multiply(inverse(X_23),add(X,n1)) != add(inverse(X_23),inverse(X_23))
    | multiply(inverse(X_23),n1) = add(inverse(X_23),inverse(X_23)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),n1)) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    multiply(inverse(X_23),n1) = add(inverse(X_23),inverse(X_23)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),add(inverse(X_23),inverse(X_23))) )],[refute_0_556,refute_0_563]) ).

cnf(refute_0_565,plain,
    ( multiply(inverse(X_23),n1) != add(inverse(X_23),inverse(X_23))
    | add(inverse(X_23),inverse(X_23)) = multiply(inverse(X_23),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X_23),n1))),bind(Y0,$fot(add(inverse(X_23),inverse(X_23))))]]) ).

cnf(refute_0_566,plain,
    add(inverse(X_23),inverse(X_23)) = multiply(inverse(X_23),n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),n1),add(inverse(X_23),inverse(X_23))) )],[refute_0_564,refute_0_565]) ).

cnf(refute_0_567,plain,
    add(inverse(n1),inverse(n1)) = multiply(inverse(n1),n1),
    inference(subst,[],[refute_0_566:[bind(X_23,$fot(n1))]]) ).

cnf(refute_0_568,plain,
    multiply(n1,add(inverse(n1),inverse(n1))) = multiply(n1,add(inverse(n1),inverse(n1))),
    introduced(tautology,[refl,[$fot(multiply(n1,add(inverse(n1),inverse(n1))))]]) ).

cnf(refute_0_569,plain,
    ( multiply(n1,add(inverse(n1),inverse(n1))) != multiply(n1,add(inverse(n1),inverse(n1)))
    | add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
    | multiply(n1,add(inverse(n1),inverse(n1))) = multiply(n1,multiply(inverse(n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),multiply(n1,add(inverse(n1),inverse(n1)))) ),[1,1],$fot(multiply(inverse(n1),n1))]]) ).

cnf(refute_0_570,plain,
    ( add(inverse(n1),inverse(n1)) != multiply(inverse(n1),n1)
    | multiply(n1,add(inverse(n1),inverse(n1))) = multiply(n1,multiply(inverse(n1),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_568,refute_0_569]) ).

cnf(refute_0_571,plain,
    multiply(n1,add(inverse(n1),inverse(n1))) = multiply(n1,multiply(inverse(n1),n1)),
    inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),multiply(inverse(n1),n1)) )],[refute_0_567,refute_0_570]) ).

cnf(refute_0_572,plain,
    ( multiply(n1,multiply(inverse(n1),n1)) != multiply(inverse(n1),n1)
    | multiply(n1,add(inverse(n1),inverse(n1))) != multiply(n1,multiply(inverse(n1),n1))
    | multiply(n1,add(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(n1,add(inverse(n1),inverse(n1))))),bind(Y0,$fot(multiply(n1,multiply(inverse(n1),n1)))),bind(Z0,$fot(multiply(inverse(n1),n1)))]]) ).

cnf(refute_0_573,plain,
    ( multiply(n1,multiply(inverse(n1),n1)) != multiply(inverse(n1),n1)
    | multiply(n1,add(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),multiply(n1,multiply(inverse(n1),n1))) )],[refute_0_571,refute_0_572]) ).

cnf(refute_0_574,plain,
    multiply(n1,add(inverse(n1),inverse(n1))) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(n1),n1)),multiply(inverse(n1),n1)) )],[refute_0_551,refute_0_573]) ).

cnf(refute_0_575,plain,
    ( multiply(multiply(inverse(n1),n1),n1) != multiply(n1,add(inverse(n1),inverse(n1)))
    | multiply(n1,add(inverse(n1),inverse(n1))) != multiply(inverse(n1),n1)
    | multiply(multiply(inverse(n1),n1),n1) = multiply(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(n1),n1),n1),multiply(inverse(n1),n1)) ),[0],$fot(multiply(n1,add(inverse(n1),inverse(n1))))]]) ).

cnf(refute_0_576,plain,
    ( multiply(multiply(inverse(n1),n1),n1) != multiply(n1,add(inverse(n1),inverse(n1)))
    | multiply(multiply(inverse(n1),n1),n1) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(n1))),multiply(inverse(n1),n1)) )],[refute_0_574,refute_0_575]) ).

cnf(refute_0_577,plain,
    multiply(multiply(inverse(n1),n1),n1) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),n1),multiply(n1,add(inverse(n1),inverse(n1)))) )],[refute_0_517,refute_0_576]) ).

cnf(refute_0_578,plain,
    ( multiply(multiply(inverse(n1),n1),n1) != multiply(inverse(n1),n1)
    | multiply(inverse(n1),n1) != add(multiply(X_11,inverse(X_11)),multiply(multiply(inverse(n1),n1),n1))
    | multiply(inverse(n1),n1) = add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),n1),add(multiply(X_11,inverse(X_11)),multiply(multiply(inverse(n1),n1),n1))) ),[1,1],$fot(multiply(inverse(n1),n1))]]) ).

cnf(refute_0_579,plain,
    ( multiply(inverse(n1),n1) != add(multiply(X_11,inverse(X_11)),multiply(multiply(inverse(n1),n1),n1))
    | multiply(inverse(n1),n1) = add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(n1),n1),n1),multiply(inverse(n1),n1)) )],[refute_0_577,refute_0_578]) ).

cnf(refute_0_580,plain,
    multiply(inverse(n1),n1) = add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),add(multiply(X_11,inverse(X_11)),multiply(multiply(inverse(n1),n1),n1))) )],[refute_0_32,refute_0_579]) ).

cnf(refute_0_581,plain,
    ( X_12 != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
    | add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) = X_12 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(X_12)),bind(Y0,$fot(add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))))]]) ).

cnf(refute_0_582,plain,
    add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) = X_12,
    inference(resolve,[$cnf( $equal(X_12,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) )],[refute_0_31,refute_0_581]) ).

cnf(refute_0_583,plain,
    add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)) = inverse(n1),
    inference(subst,[],[refute_0_582:[bind(X_12,$fot(inverse(n1)))]]) ).

cnf(refute_0_584,plain,
    ( multiply(inverse(n1),n1) != add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))
    | add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)) != inverse(n1)
    | multiply(inverse(n1),n1) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(n1),n1),inverse(n1)) ),[0],$fot(add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)))]]) ).

cnf(refute_0_585,plain,
    ( multiply(inverse(n1),n1) != add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))
    | multiply(inverse(n1),n1) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1)),inverse(n1)) )],[refute_0_583,refute_0_584]) ).

cnf(refute_0_586,plain,
    multiply(inverse(n1),n1) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),add(multiply(X_11,inverse(X_11)),multiply(inverse(n1),n1))) )],[refute_0_580,refute_0_585]) ).

cnf(refute_0_587,plain,
    ( multiply(inverse(n1),n1) != inverse(n1)
    | multiply(n1,add(inverse(n1),Z)) != add(multiply(inverse(n1),n1),multiply(Z,n1))
    | multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(multiply(inverse(n1),n1),multiply(Z,n1))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_588,plain,
    ( multiply(n1,add(inverse(n1),Z)) != add(multiply(inverse(n1),n1),multiply(Z,n1))
    | multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_586,refute_0_587]) ).

cnf(refute_0_589,plain,
    multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(multiply(inverse(n1),n1),multiply(Z,n1))) )],[refute_0_12,refute_0_588]) ).

cnf(refute_0_590,plain,
    ( X_14 != add(inverse(n1),multiply(X_14,n1))
    | add(inverse(n1),multiply(X_14,n1)) = X_14 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(X_14)),bind(Y0,$fot(add(inverse(n1),multiply(X_14,n1))))]]) ).

cnf(refute_0_591,plain,
    add(inverse(n1),multiply(X_14,n1)) = X_14,
    inference(resolve,[$cnf( $equal(X_14,add(inverse(n1),multiply(X_14,n1))) )],[refute_0_63,refute_0_590]) ).

cnf(refute_0_592,plain,
    add(inverse(n1),multiply(Z,n1)) = Z,
    inference(subst,[],[refute_0_591:[bind(X_14,$fot(Z))]]) ).

cnf(refute_0_593,plain,
    ( multiply(n1,add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,n1))
    | add(inverse(n1),multiply(Z,n1)) != Z
    | multiply(n1,add(inverse(n1),Z)) = Z ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(inverse(n1),Z)),Z) ),[0],$fot(add(inverse(n1),multiply(Z,n1)))]]) ).

cnf(refute_0_594,plain,
    ( multiply(n1,add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,n1))
    | multiply(n1,add(inverse(n1),Z)) = Z ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,n1)),Z) )],[refute_0_592,refute_0_593]) ).

cnf(refute_0_595,plain,
    multiply(n1,add(inverse(n1),Z)) = Z,
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(inverse(n1),multiply(Z,n1))) )],[refute_0_589,refute_0_594]) ).

cnf(refute_0_596,plain,
    multiply(n1,add(inverse(n1),X_107)) = X_107,
    inference(subst,[],[refute_0_595:[bind(Z,$fot(X_107))]]) ).

cnf(refute_0_597,plain,
    ( multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(n1,add(inverse(n1),X_107))) != multiply(n1,add(inverse(n1),X_107))
    | multiply(n1,add(inverse(n1),X_107)) != X_107
    | multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(n1,add(inverse(n1),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(n1,add(inverse(n1),X_107))),multiply(n1,add(inverse(n1),X_107))) ),[0,1],$fot(X_107)]]) ).

cnf(refute_0_598,plain,
    ( multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(n1,add(inverse(n1),X_107))) != multiply(n1,add(inverse(n1),X_107))
    | multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(n1,add(inverse(n1),X_107)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_107)),X_107) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(n1,add(inverse(n1),X_107)),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(n1,add(inverse(n1),X_107))),multiply(n1,add(inverse(n1),X_107))) )],[refute_0_11,refute_0_598]) ).

cnf(refute_0_600,plain,
    add(X_23,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(X_23))]]) ).

cnf(refute_0_601,plain,
    multiply(add(inverse(n1),X_107),add(X_23,n1)) = multiply(add(inverse(n1),X_107),add(X_23,n1)),
    introduced(tautology,[refl,[$fot(multiply(add(inverse(n1),X_107),add(X_23,n1)))]]) ).

cnf(refute_0_602,plain,
    ( multiply(add(inverse(n1),X_107),add(X_23,n1)) != multiply(add(inverse(n1),X_107),add(X_23,n1))
    | add(X_23,n1) != n1
    | multiply(add(inverse(n1),X_107),add(X_23,n1)) = multiply(add(inverse(n1),X_107),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(add(inverse(n1),X_107),add(X_23,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_603,plain,
    ( add(X_23,n1) != n1
    | multiply(add(inverse(n1),X_107),add(X_23,n1)) = multiply(add(inverse(n1),X_107),n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(add(inverse(n1),X_107),add(X_23,n1))) )],[refute_0_601,refute_0_602]) ).

cnf(refute_0_604,plain,
    multiply(add(inverse(n1),X_107),add(X_23,n1)) = multiply(add(inverse(n1),X_107),n1),
    inference(resolve,[$cnf( $equal(add(X_23,n1),n1) )],[refute_0_600,refute_0_603]) ).

cnf(refute_0_605,plain,
    multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107),
    introduced(tautology,[refl,[$fot(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107))]]) ).

cnf(refute_0_606,plain,
    ( multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) != multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107)
    | multiply(add(inverse(n1),X_107),add(X_23,n1)) != multiply(add(inverse(n1),X_107),n1)
    | multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(multiply(add(inverse(n1),X_107),n1),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107),multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107)) ),[1,0],$fot(multiply(add(inverse(n1),X_107),n1))]]) ).

cnf(refute_0_607,plain,
    ( multiply(add(inverse(n1),X_107),add(X_23,n1)) != multiply(add(inverse(n1),X_107),n1)
    | multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(multiply(add(inverse(n1),X_107),n1),X_107) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107),multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107)) )],[refute_0_605,refute_0_606]) ).

cnf(refute_0_608,plain,
    multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) = multiply(multiply(add(inverse(n1),X_107),n1),X_107),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(X_23,n1)),multiply(add(inverse(n1),X_107),n1)) )],[refute_0_604,refute_0_607]) ).

cnf(refute_0_609,plain,
    ( multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) != multiply(multiply(add(inverse(n1),X_107),n1),X_107)
    | multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) != multiply(n1,add(inverse(n1),X_107))
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = multiply(n1,add(inverse(n1),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107),multiply(n1,add(inverse(n1),X_107))) ),[0],$fot(multiply(multiply(add(inverse(n1),X_107),n1),X_107))]]) ).

cnf(refute_0_610,plain,
    ( multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) != multiply(n1,add(inverse(n1),X_107))
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = multiply(n1,add(inverse(n1),X_107)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107),multiply(multiply(add(inverse(n1),X_107),n1),X_107)) )],[refute_0_608,refute_0_609]) ).

cnf(refute_0_611,plain,
    ( multiply(multiply(add(inverse(n1),X_107),n1),X_107) != multiply(n1,add(inverse(n1),X_107))
    | multiply(n1,add(inverse(n1),X_107)) != X_107
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = X_107 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),X_107) ),[0],$fot(multiply(n1,add(inverse(n1),X_107)))]]) ).

cnf(refute_0_612,plain,
    ( multiply(multiply(add(inverse(n1),X_107),n1),X_107) != multiply(n1,add(inverse(n1),X_107))
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = X_107 ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_107)),X_107) )],[refute_0_596,refute_0_611]) ).

cnf(refute_0_613,plain,
    ( multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107) != multiply(n1,add(inverse(n1),X_107))
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = X_107 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),multiply(n1,add(inverse(n1),X_107))) )],[refute_0_610,refute_0_612]) ).

cnf(refute_0_614,plain,
    multiply(multiply(add(inverse(n1),X_107),n1),X_107) = X_107,
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),add(X_23,n1)),X_107),multiply(n1,add(inverse(n1),X_107))) )],[refute_0_599,refute_0_613]) ).

cnf(refute_0_615,plain,
    multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) = multiply(X_12,add(n1,inverse(n1))),
    inference(subst,[],[refute_0_595:[bind(Z,$fot(multiply(X_12,add(n1,inverse(n1)))))]]) ).

cnf(refute_0_616,plain,
    pixley(n1,n1,X_12) = add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),
    inference(subst,[],[refute_0_54:[bind(X_11,$fot(n1))]]) ).

cnf(refute_0_617,plain,
    ( pixley(n1,n1,X_12) != add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))
    | add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(pixley(n1,n1,X_12))),bind(Y0,$fot(add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))))]]) ).

cnf(refute_0_618,plain,
    add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12),
    inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) )],[refute_0_616,refute_0_617]) ).

cnf(refute_0_619,plain,
    ( multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) != multiply(X_12,add(n1,inverse(n1)))
    | add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
    | multiply(n1,pixley(n1,n1,X_12)) = multiply(X_12,add(n1,inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))),multiply(X_12,add(n1,inverse(n1)))) ),[0,1],$fot(pixley(n1,n1,X_12))]]) ).

cnf(refute_0_620,plain,
    ( multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) != multiply(X_12,add(n1,inverse(n1)))
    | multiply(n1,pixley(n1,n1,X_12)) = multiply(X_12,add(n1,inverse(n1))) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) )],[refute_0_618,refute_0_619]) ).

cnf(refute_0_621,plain,
    multiply(n1,pixley(n1,n1,X_12)) = multiply(X_12,add(n1,inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_615,refute_0_620]) ).

cnf(refute_0_622,plain,
    pixley(n1,n1,X_12) = X_12,
    inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(X_12))]]) ).

cnf(refute_0_623,plain,
    multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,pixley(n1,n1,X_12)),
    introduced(tautology,[refl,[$fot(multiply(n1,pixley(n1,n1,X_12)))]]) ).

cnf(refute_0_624,plain,
    ( multiply(n1,pixley(n1,n1,X_12)) != multiply(n1,pixley(n1,n1,X_12))
    | pixley(n1,n1,X_12) != X_12
    | multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(n1,pixley(n1,n1,X_12))) ),[1,1],$fot(X_12)]]) ).

cnf(refute_0_625,plain,
    ( pixley(n1,n1,X_12) != X_12
    | multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,X_12) ),
    inference(resolve,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(n1,pixley(n1,n1,X_12))) )],[refute_0_623,refute_0_624]) ).

cnf(refute_0_626,plain,
    multiply(n1,pixley(n1,n1,X_12)) = multiply(n1,X_12),
    inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),X_12) )],[refute_0_622,refute_0_625]) ).

cnf(refute_0_627,plain,
    ( multiply(n1,pixley(n1,n1,X_12)) != multiply(X_12,add(n1,inverse(n1)))
    | multiply(n1,pixley(n1,n1,X_12)) != multiply(n1,X_12)
    | multiply(n1,X_12) = multiply(X_12,add(n1,inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(X_12,add(n1,inverse(n1)))) ),[0],$fot(multiply(n1,X_12))]]) ).

cnf(refute_0_628,plain,
    ( multiply(n1,pixley(n1,n1,X_12)) != multiply(X_12,add(n1,inverse(n1)))
    | multiply(n1,X_12) = multiply(X_12,add(n1,inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(n1,X_12)) )],[refute_0_626,refute_0_627]) ).

cnf(refute_0_629,plain,
    multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,add(n1,inverse(n1))),
    introduced(tautology,[refl,[$fot(multiply(X_12,add(n1,inverse(n1))))]]) ).

cnf(refute_0_630,plain,
    ( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,add(n1,inverse(n1)))
    | add(n1,inverse(n1)) != n1
    | multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_631,plain,
    ( add(n1,inverse(n1)) != n1
    | multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_629,refute_0_630]) ).

cnf(refute_0_632,plain,
    multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1),
    inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_56,refute_0_631]) ).

cnf(refute_0_633,plain,
    ( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,n1)
    | multiply(n1,X_12) != multiply(X_12,add(n1,inverse(n1)))
    | multiply(n1,X_12) = multiply(X_12,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,X_12),multiply(X_12,add(n1,inverse(n1)))) ),[1],$fot(multiply(X_12,n1))]]) ).

cnf(refute_0_634,plain,
    ( multiply(n1,X_12) != multiply(X_12,add(n1,inverse(n1)))
    | multiply(n1,X_12) = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,n1)) )],[refute_0_632,refute_0_633]) ).

cnf(refute_0_635,plain,
    ( multiply(n1,pixley(n1,n1,X_12)) != multiply(X_12,add(n1,inverse(n1)))
    | multiply(n1,X_12) = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,X_12),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_628,refute_0_634]) ).

cnf(refute_0_636,plain,
    multiply(n1,X_12) = multiply(X_12,n1),
    inference(resolve,[$cnf( $equal(multiply(n1,pixley(n1,n1,X_12)),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_621,refute_0_635]) ).

cnf(refute_0_637,plain,
    ( multiply(n1,X_12) != multiply(X_12,n1)
    | multiply(X_12,n1) = multiply(n1,X_12) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,X_12))),bind(Y0,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_638,plain,
    multiply(X_12,n1) = multiply(n1,X_12),
    inference(resolve,[$cnf( $equal(multiply(n1,X_12),multiply(X_12,n1)) )],[refute_0_636,refute_0_637]) ).

cnf(refute_0_639,plain,
    multiply(add(inverse(n1),X_107),n1) = multiply(n1,add(inverse(n1),X_107)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(add(inverse(n1),X_107)))]]) ).

cnf(refute_0_640,plain,
    ( multiply(add(inverse(n1),X_107),n1) != multiply(n1,add(inverse(n1),X_107))
    | multiply(n1,add(inverse(n1),X_107)) != X_107
    | multiply(add(inverse(n1),X_107),n1) = X_107 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(add(inverse(n1),X_107),n1))),bind(Y0,$fot(multiply(n1,add(inverse(n1),X_107)))),bind(Z0,$fot(X_107))]]) ).

cnf(refute_0_641,plain,
    ( multiply(n1,add(inverse(n1),X_107)) != X_107
    | multiply(add(inverse(n1),X_107),n1) = X_107 ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),n1),multiply(n1,add(inverse(n1),X_107))) )],[refute_0_639,refute_0_640]) ).

cnf(refute_0_642,plain,
    multiply(add(inverse(n1),X_107),n1) = X_107,
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_107)),X_107) )],[refute_0_596,refute_0_641]) ).

cnf(refute_0_643,plain,
    multiply(multiply(add(inverse(n1),X_107),n1),X_107) = multiply(multiply(add(inverse(n1),X_107),n1),X_107),
    introduced(tautology,[refl,[$fot(multiply(multiply(add(inverse(n1),X_107),n1),X_107))]]) ).

cnf(refute_0_644,plain,
    ( multiply(multiply(add(inverse(n1),X_107),n1),X_107) != multiply(multiply(add(inverse(n1),X_107),n1),X_107)
    | multiply(add(inverse(n1),X_107),n1) != X_107
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = multiply(X_107,X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),multiply(multiply(add(inverse(n1),X_107),n1),X_107)) ),[1,0],$fot(X_107)]]) ).

cnf(refute_0_645,plain,
    ( multiply(add(inverse(n1),X_107),n1) != X_107
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) = multiply(X_107,X_107) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),multiply(multiply(add(inverse(n1),X_107),n1),X_107)) )],[refute_0_643,refute_0_644]) ).

cnf(refute_0_646,plain,
    multiply(multiply(add(inverse(n1),X_107),n1),X_107) = multiply(X_107,X_107),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),n1),X_107) )],[refute_0_642,refute_0_645]) ).

cnf(refute_0_647,plain,
    ( multiply(multiply(add(inverse(n1),X_107),n1),X_107) != X_107
    | multiply(multiply(add(inverse(n1),X_107),n1),X_107) != multiply(X_107,X_107)
    | multiply(X_107,X_107) = X_107 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),X_107) ),[0],$fot(multiply(X_107,X_107))]]) ).

cnf(refute_0_648,plain,
    ( multiply(multiply(add(inverse(n1),X_107),n1),X_107) != X_107
    | multiply(X_107,X_107) = X_107 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),multiply(X_107,X_107)) )],[refute_0_646,refute_0_647]) ).

cnf(refute_0_649,plain,
    multiply(X_107,X_107) = X_107,
    inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(n1),X_107),n1),X_107),X_107) )],[refute_0_614,refute_0_648]) ).

cnf(refute_0_650,plain,
    multiply(X,X) = X,
    inference(subst,[],[refute_0_649:[bind(X_107,$fot(X))]]) ).

cnf(refute_0_651,plain,
    ( multiply(X,X) != X
    | multiply(X,add(Y,X)) != add(multiply(Y,X),multiply(X,X))
    | multiply(X,add(Y,X)) = add(multiply(Y,X),X) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),multiply(X,X))) ),[1,1],$fot(X)]]) ).

cnf(refute_0_652,plain,
    ( multiply(X,add(Y,X)) != add(multiply(Y,X),multiply(X,X))
    | multiply(X,add(Y,X)) = add(multiply(Y,X),X) ),
    inference(resolve,[$cnf( $equal(multiply(X,X),X) )],[refute_0_650,refute_0_651]) ).

cnf(refute_0_653,plain,
    multiply(X,add(Y,X)) = add(multiply(Y,X),X),
    inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),multiply(X,X))) )],[refute_0_0,refute_0_652]) ).

cnf(refute_0_654,plain,
    ( multiply(X,add(Y,X)) != add(multiply(Y,X),X)
    | add(multiply(Y,X),X) = multiply(X,add(Y,X)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,add(Y,X)))),bind(Y0,$fot(add(multiply(Y,X),X)))]]) ).

cnf(refute_0_655,plain,
    add(multiply(Y,X),X) = multiply(X,add(Y,X)),
    inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),X)) )],[refute_0_653,refute_0_654]) ).

cnf(refute_0_656,plain,
    add(multiply(a,b),b) = multiply(b,add(a,b)),
    inference(subst,[],[refute_0_655:[bind(X,$fot(b)),bind(Y,$fot(a))]]) ).

cnf(refute_0_657,plain,
    ( multiply(b,add(a,b)) != b
    | add(multiply(a,b),b) != multiply(b,add(a,b))
    | add(multiply(a,b),b) = b ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,b),b),multiply(b,add(a,b))) ),[1],$fot(b)]]) ).

cnf(refute_0_658,plain,
    ( multiply(b,add(a,b)) != b
    | add(multiply(a,b),b) = b ),
    inference(resolve,[$cnf( $equal(add(multiply(a,b),b),multiply(b,add(a,b))) )],[refute_0_656,refute_0_657]) ).

cnf(refute_0_659,plain,
    multiply(b,add(a,b)) != b,
    inference(resolve,[$cnf( $equal(add(multiply(a,b),b),b) )],[refute_0_658,prove_add_multiply]) ).

cnf(refute_0_660,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = add(multiply(Y,add(X_36,X_36)),multiply(multiply(X_36,n1),add(X_36,X_36))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_36,X_36))),bind(Z,$fot(multiply(X_36,n1)))]]) ).

cnf(refute_0_661,plain,
    multiply(multiply(X_36,n1),add(X_36,X_36)) = multiply(n1,add(X_36,X_36)),
    inference(subst,[],[refute_0_308:[bind(X_32,$fot(X_36))]]) ).

cnf(refute_0_662,plain,
    ( multiply(multiply(X_36,n1),add(X_36,X_36)) != multiply(n1,add(X_36,X_36))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != add(multiply(Y,add(X_36,X_36)),multiply(multiply(X_36,n1),add(X_36,X_36)))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),add(multiply(Y,add(X_36,X_36)),multiply(multiply(X_36,n1),add(X_36,X_36)))) ),[1,1],$fot(multiply(n1,add(X_36,X_36)))]]) ).

cnf(refute_0_663,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != add(multiply(Y,add(X_36,X_36)),multiply(multiply(X_36,n1),add(X_36,X_36)))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_36,n1),add(X_36,X_36)),multiply(n1,add(X_36,X_36))) )],[refute_0_661,refute_0_662]) ).

cnf(refute_0_664,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),add(multiply(Y,add(X_36,X_36)),multiply(multiply(X_36,n1),add(X_36,X_36)))) )],[refute_0_660,refute_0_663]) ).

cnf(refute_0_665,plain,
    add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))) = multiply(add(X_36,X_36),add(Y,n1)),
    inference(subst,[],[refute_0_14:[bind(X,$fot(add(X_36,X_36))),bind(Z,$fot(n1))]]) ).

cnf(refute_0_666,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36)))
    | add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))) != multiply(add(X_36,X_36),add(Y,n1))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,n1)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,n1))) ),[0],$fot(add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))))]]) ).

cnf(refute_0_667,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36)))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,n1)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))),multiply(add(X_36,X_36),add(Y,n1))) )],[refute_0_665,refute_0_666]) ).

cnf(refute_0_668,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,n1)),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36)))) )],[refute_0_664,refute_0_667]) ).

cnf(refute_0_669,plain,
    add(Y,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(Y))]]) ).

cnf(refute_0_670,plain,
    multiply(add(X_36,X_36),add(Y,n1)) = multiply(add(X_36,X_36),add(Y,n1)),
    introduced(tautology,[refl,[$fot(multiply(add(X_36,X_36),add(Y,n1)))]]) ).

cnf(refute_0_671,plain,
    ( multiply(add(X_36,X_36),add(Y,n1)) != multiply(add(X_36,X_36),add(Y,n1))
    | add(Y,n1) != n1
    | multiply(add(X_36,X_36),add(Y,n1)) = multiply(add(X_36,X_36),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,n1)),multiply(add(X_36,X_36),add(Y,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_672,plain,
    ( add(Y,n1) != n1
    | multiply(add(X_36,X_36),add(Y,n1)) = multiply(add(X_36,X_36),n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,n1)),multiply(add(X_36,X_36),add(Y,n1))) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    multiply(add(X_36,X_36),add(Y,n1)) = multiply(add(X_36,X_36),n1),
    inference(resolve,[$cnf( $equal(add(Y,n1),n1) )],[refute_0_669,refute_0_672]) ).

cnf(refute_0_674,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),add(Y,n1))
    | multiply(add(X_36,X_36),add(Y,n1)) != multiply(add(X_36,X_36),n1)
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),n1)) ),[0],$fot(multiply(add(X_36,X_36),add(Y,n1)))]]) ).

cnf(refute_0_675,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),add(Y,n1))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,n1)),multiply(add(X_36,X_36),n1)) )],[refute_0_673,refute_0_674]) ).

cnf(refute_0_676,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),n1),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,n1))) )],[refute_0_668,refute_0_675]) ).

cnf(refute_0_677,plain,
    multiply(add(X_36,X_36),n1) = multiply(n1,add(X_36,X_36)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(add(X_36,X_36)))]]) ).

cnf(refute_0_678,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),n1)
    | multiply(add(X_36,X_36),n1) != multiply(n1,add(X_36,X_36))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(n1,add(X_36,X_36)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(n1,add(X_36,X_36))) ),[0],$fot(multiply(add(X_36,X_36),n1))]]) ).

cnf(refute_0_679,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),n1)
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(n1,add(X_36,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),n1),multiply(n1,add(X_36,X_36))) )],[refute_0_677,refute_0_678]) ).

cnf(refute_0_680,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(n1,add(X_36,X_36)),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),n1)) )],[refute_0_676,refute_0_679]) ).

cnf(refute_0_681,plain,
    ( X_12 != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
    | multiply(X_12,n1) != multiply(n1,X_12)
    | X_12 = add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_12,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) ),[1,1],$fot(multiply(n1,X_12))]]) ).

cnf(refute_0_682,plain,
    ( X_12 != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
    | X_12 = add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,n1),multiply(n1,X_12)) )],[refute_0_638,refute_0_681]) ).

cnf(refute_0_683,plain,
    X_12 = add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)),
    inference(resolve,[$cnf( $equal(X_12,add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) )],[refute_0_31,refute_0_682]) ).

cnf(refute_0_684,plain,
    multiply(X_12,add(inverse(n1),n1)) = multiply(X_12,add(inverse(n1),n1)),
    introduced(tautology,[refl,[$fot(multiply(X_12,add(inverse(n1),n1)))]]) ).

cnf(refute_0_685,plain,
    ( multiply(X_12,add(inverse(n1),n1)) != multiply(X_12,add(inverse(n1),n1))
    | add(inverse(n1),n1) != n1
    | multiply(X_12,add(inverse(n1),n1)) = multiply(X_12,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(inverse(n1),n1)),multiply(X_12,add(inverse(n1),n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_686,plain,
    ( add(inverse(n1),n1) != n1
    | multiply(X_12,add(inverse(n1),n1)) = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(n1),n1)),multiply(X_12,add(inverse(n1),n1))) )],[refute_0_684,refute_0_685]) ).

cnf(refute_0_687,plain,
    multiply(X_12,add(inverse(n1),n1)) = multiply(X_12,n1),
    inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_454,refute_0_686]) ).

cnf(refute_0_688,plain,
    multiply(X,add(inverse(n1),Z)) = add(multiply(inverse(n1),X),multiply(Z,X)),
    inference(subst,[],[multiply_add_property:[bind(Y,$fot(inverse(n1)))]]) ).

cnf(refute_0_689,plain,
    multiply(inverse(n1),add(Y,Z)) = add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(n1)))]]) ).

cnf(refute_0_690,plain,
    multiply(X_60,multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),
    inference(subst,[],[refute_0_156:[bind(X_62,$fot(inverse(n1)))]]) ).

cnf(refute_0_691,plain,
    multiply(n1,add(inverse(n1),inverse(inverse(n1)))) = inverse(inverse(n1)),
    inference(subst,[],[refute_0_595:[bind(Z,$fot(inverse(inverse(n1))))]]) ).

cnf(refute_0_692,plain,
    add(inverse(n1),inverse(inverse(n1))) = n1,
    inference(subst,[],[additive_inverse:[bind(X,$fot(inverse(n1)))]]) ).

cnf(refute_0_693,plain,
    ( multiply(n1,add(inverse(n1),inverse(inverse(n1)))) != inverse(inverse(n1))
    | add(inverse(n1),inverse(inverse(n1))) != n1
    | multiply(n1,n1) = inverse(inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(inverse(n1)))),inverse(inverse(n1))) ),[0,1],$fot(n1)]]) ).

cnf(refute_0_694,plain,
    ( multiply(n1,add(inverse(n1),inverse(inverse(n1)))) != inverse(inverse(n1))
    | multiply(n1,n1) = inverse(inverse(n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(inverse(n1))),n1) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    multiply(n1,n1) = inverse(inverse(n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),inverse(inverse(n1)))),inverse(inverse(n1))) )],[refute_0_691,refute_0_694]) ).

cnf(refute_0_696,plain,
    ( multiply(n1,n1) != inverse(inverse(n1))
    | multiply(n1,n1) != n1
    | n1 = inverse(inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,n1),inverse(inverse(n1))) ),[0],$fot(n1)]]) ).

cnf(refute_0_697,plain,
    ( multiply(n1,n1) != inverse(inverse(n1))
    | n1 = inverse(inverse(n1)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_381,refute_0_696]) ).

cnf(refute_0_698,plain,
    n1 = inverse(inverse(n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,n1),inverse(inverse(n1))) )],[refute_0_695,refute_0_697]) ).

cnf(refute_0_699,plain,
    ( n1 != inverse(inverse(n1))
    | inverse(inverse(n1)) = n1 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(inverse(inverse(n1))))]]) ).

cnf(refute_0_700,plain,
    inverse(inverse(n1)) = n1,
    inference(resolve,[$cnf( $equal(n1,inverse(inverse(n1))) )],[refute_0_698,refute_0_699]) ).

cnf(refute_0_701,plain,
    ( multiply(X_60,multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | inverse(inverse(n1)) != n1
    | multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,inverse(inverse(n1))))),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) ),[0,1,1,1],$fot(n1)]]) ).

cnf(refute_0_702,plain,
    ( multiply(X_60,multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_700,refute_0_701]) ).

cnf(refute_0_703,plain,
    multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),
    inference(resolve,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,inverse(inverse(n1))))),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) )],[refute_0_690,refute_0_702]) ).

cnf(refute_0_704,plain,
    add(X_60,n1) = n1,
    inference(subst,[],[refute_0_468:[bind(X_44,$fot(X_60))]]) ).

cnf(refute_0_705,plain,
    multiply(inverse(n1),add(X_60,n1)) = multiply(inverse(n1),add(X_60,n1)),
    introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(X_60,n1)))]]) ).

cnf(refute_0_706,plain,
    ( multiply(inverse(n1),add(X_60,n1)) != multiply(inverse(n1),add(X_60,n1))
    | add(X_60,n1) != n1
    | multiply(inverse(n1),add(X_60,n1)) = multiply(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(X_60,n1)),multiply(inverse(n1),add(X_60,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_707,plain,
    ( add(X_60,n1) != n1
    | multiply(inverse(n1),add(X_60,n1)) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_60,n1)),multiply(inverse(n1),add(X_60,n1))) )],[refute_0_705,refute_0_706]) ).

cnf(refute_0_708,plain,
    multiply(inverse(n1),add(X_60,n1)) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(X_60,n1),n1) )],[refute_0_704,refute_0_707]) ).

cnf(refute_0_709,plain,
    ( multiply(inverse(n1),add(X_60,n1)) != multiply(inverse(n1),n1)
    | multiply(inverse(n1),n1) != inverse(n1)
    | multiply(inverse(n1),add(X_60,n1)) = inverse(n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(n1),add(X_60,n1)))),bind(Y0,$fot(multiply(inverse(n1),n1))),bind(Z0,$fot(inverse(n1)))]]) ).

cnf(refute_0_710,plain,
    ( multiply(inverse(n1),n1) != inverse(n1)
    | multiply(inverse(n1),add(X_60,n1)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_60,n1)),multiply(inverse(n1),n1)) )],[refute_0_708,refute_0_709]) ).

cnf(refute_0_711,plain,
    multiply(inverse(n1),add(X_60,n1)) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_586,refute_0_710]) ).

cnf(refute_0_712,plain,
    multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(X_60,multiply(inverse(n1),add(X_60,n1))),
    introduced(tautology,[refl,[$fot(multiply(X_60,multiply(inverse(n1),add(X_60,n1))))]]) ).

cnf(refute_0_713,plain,
    ( multiply(X_60,multiply(inverse(n1),add(X_60,n1))) != multiply(X_60,multiply(inverse(n1),add(X_60,n1)))
    | multiply(inverse(n1),add(X_60,n1)) != inverse(n1)
    | multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(X_60,inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,n1))),multiply(X_60,multiply(inverse(n1),add(X_60,n1)))) ),[1,1],$fot(inverse(n1))]]) ).

cnf(refute_0_714,plain,
    ( multiply(inverse(n1),add(X_60,n1)) != inverse(n1)
    | multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(X_60,inverse(n1)) ),
    inference(resolve,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,n1))),multiply(X_60,multiply(inverse(n1),add(X_60,n1)))) )],[refute_0_712,refute_0_713]) ).

cnf(refute_0_715,plain,
    multiply(X_60,multiply(inverse(n1),add(X_60,n1))) = multiply(X_60,inverse(n1)),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_60,n1)),inverse(n1)) )],[refute_0_711,refute_0_714]) ).

cnf(refute_0_716,plain,
    ( multiply(X_60,multiply(inverse(n1),add(X_60,n1))) != multiply(X_60,inverse(n1))
    | multiply(X_60,multiply(inverse(n1),add(X_60,n1))) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | multiply(X_60,inverse(n1)) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,n1))),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) ),[0],$fot(multiply(X_60,inverse(n1)))]]) ).

cnf(refute_0_717,plain,
    ( multiply(X_60,multiply(inverse(n1),add(X_60,n1))) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | multiply(X_60,inverse(n1)) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) ),
    inference(resolve,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,n1))),multiply(X_60,inverse(n1))) )],[refute_0_715,refute_0_716]) ).

cnf(refute_0_718,plain,
    add(X_60,inverse(inverse(n1))) = add(X_60,inverse(inverse(n1))),
    introduced(tautology,[refl,[$fot(add(X_60,inverse(inverse(n1))))]]) ).

cnf(refute_0_719,plain,
    ( add(X_60,inverse(inverse(n1))) != add(X_60,inverse(inverse(n1)))
    | inverse(inverse(n1)) != n1
    | add(X_60,inverse(inverse(n1))) = add(X_60,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_60,inverse(inverse(n1))),add(X_60,inverse(inverse(n1)))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_720,plain,
    ( inverse(inverse(n1)) != n1
    | add(X_60,inverse(inverse(n1))) = add(X_60,n1) ),
    inference(resolve,[$cnf( $equal(add(X_60,inverse(inverse(n1))),add(X_60,inverse(inverse(n1)))) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    add(X_60,inverse(inverse(n1))) = add(X_60,n1),
    inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_700,refute_0_720]) ).

cnf(refute_0_722,plain,
    ( add(X_60,inverse(inverse(n1))) != add(X_60,n1)
    | add(X_60,n1) != n1
    | add(X_60,inverse(inverse(n1))) = n1 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(X_60,inverse(inverse(n1))))),bind(Y0,$fot(add(X_60,n1))),bind(Z0,$fot(n1))]]) ).

cnf(refute_0_723,plain,
    ( add(X_60,n1) != n1
    | add(X_60,inverse(inverse(n1))) = n1 ),
    inference(resolve,[$cnf( $equal(add(X_60,inverse(inverse(n1))),add(X_60,n1)) )],[refute_0_721,refute_0_722]) ).

cnf(refute_0_724,plain,
    add(X_60,inverse(inverse(n1))) = n1,
    inference(resolve,[$cnf( $equal(add(X_60,n1),n1) )],[refute_0_704,refute_0_723]) ).

cnf(refute_0_725,plain,
    multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),
    introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))))]]) ).

cnf(refute_0_726,plain,
    ( multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | add(X_60,inverse(inverse(n1))) != n1
    | multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = multiply(inverse(n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_727,plain,
    ( add(X_60,inverse(inverse(n1))) != n1
    | multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = multiply(inverse(n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) )],[refute_0_725,refute_0_726]) ).

cnf(refute_0_728,plain,
    multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = multiply(inverse(n1),n1),
    inference(resolve,[$cnf( $equal(add(X_60,inverse(inverse(n1))),n1) )],[refute_0_724,refute_0_727]) ).

cnf(refute_0_729,plain,
    ( multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) != multiply(inverse(n1),n1)
    | multiply(inverse(n1),n1) != inverse(n1)
    | multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = inverse(n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))))),bind(Y0,$fot(multiply(inverse(n1),n1))),bind(Z0,$fot(inverse(n1)))]]) ).

cnf(refute_0_730,plain,
    ( multiply(inverse(n1),n1) != inverse(n1)
    | multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),multiply(inverse(n1),n1)) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_586,refute_0_730]) ).

cnf(refute_0_732,plain,
    ( multiply(X_60,inverse(n1)) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | multiply(inverse(n1),add(X_60,inverse(inverse(n1)))) != inverse(n1)
    | multiply(X_60,inverse(n1)) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_60,inverse(n1)),inverse(n1)) ),[0],$fot(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))))]]) ).

cnf(refute_0_733,plain,
    ( multiply(X_60,inverse(n1)) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | multiply(X_60,inverse(n1)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_60,inverse(inverse(n1)))),inverse(n1)) )],[refute_0_731,refute_0_732]) ).

cnf(refute_0_734,plain,
    ( multiply(X_60,multiply(inverse(n1),add(X_60,n1))) != multiply(inverse(n1),add(X_60,inverse(inverse(n1))))
    | multiply(X_60,inverse(n1)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_60,inverse(n1)),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) )],[refute_0_717,refute_0_733]) ).

cnf(refute_0_735,plain,
    multiply(X_60,inverse(n1)) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(X_60,multiply(inverse(n1),add(X_60,n1))),multiply(inverse(n1),add(X_60,inverse(inverse(n1))))) )],[refute_0_703,refute_0_734]) ).

cnf(refute_0_736,plain,
    multiply(Y,inverse(n1)) = inverse(n1),
    inference(subst,[],[refute_0_735:[bind(X_60,$fot(Y))]]) ).

cnf(refute_0_737,plain,
    ( multiply(Y,inverse(n1)) != inverse(n1)
    | multiply(inverse(n1),add(Y,Z)) != add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))
    | multiply(inverse(n1),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_738,plain,
    ( multiply(inverse(n1),add(Y,Z)) != add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))
    | multiply(inverse(n1),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(Y,inverse(n1)),inverse(n1)) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    multiply(inverse(n1),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))) )],[refute_0_689,refute_0_738]) ).

cnf(refute_0_740,plain,
    multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = add(inverse(n1),multiply(X_24,inverse(n1))),
    inference(subst,[],[refute_0_37:[bind(X_22,$fot(inverse(n1)))]]) ).

cnf(refute_0_741,plain,
    multiply(X_24,inverse(n1)) = inverse(n1),
    inference(subst,[],[refute_0_735:[bind(X_60,$fot(X_24))]]) ).

cnf(refute_0_742,plain,
    ( multiply(X_24,inverse(n1)) != inverse(n1)
    | multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != add(inverse(n1),multiply(X_24,inverse(n1)))
    | multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = add(inverse(n1),inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)),add(inverse(n1),multiply(X_24,inverse(n1)))) ),[1,1],$fot(inverse(n1))]]) ).

cnf(refute_0_743,plain,
    ( multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != add(inverse(n1),multiply(X_24,inverse(n1)))
    | multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = add(inverse(n1),inverse(n1)) ),
    inference(resolve,[$cnf( $equal(multiply(X_24,inverse(n1)),inverse(n1)) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = add(inverse(n1),inverse(n1)),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)),add(inverse(n1),multiply(X_24,inverse(n1)))) )],[refute_0_740,refute_0_743]) ).

cnf(refute_0_745,plain,
    pixley(add(X,inverse(X_11)),X_11,X_12) = add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(add(X,inverse(X_11)))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_746,plain,
    multiply(add(X,inverse(X_11)),inverse(X_11)) = inverse(X_11),
    inference(subst,[],[multiply_add:[bind(Y,$fot(inverse(X_11)))]]) ).

cnf(refute_0_747,plain,
    ( multiply(add(X,inverse(X_11)),inverse(X_11)) != inverse(X_11)
    | pixley(add(X,inverse(X_11)),X_11,X_12) != add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))
    | pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(add(X,inverse(X_11)),X_11,X_12),add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_748,plain,
    ( pixley(add(X,inverse(X_11)),X_11,X_12) != add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))
    | pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_11)),inverse(X_11)),inverse(X_11)) )],[refute_0_746,refute_0_747]) ).

cnf(refute_0_749,plain,
    pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))),
    inference(resolve,[$cnf( $equal(pixley(add(X,inverse(X_11)),X_11,X_12),add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))) )],[refute_0_745,refute_0_748]) ).

cnf(refute_0_750,plain,
    pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(inverse(X_11),inverse(X_11)),inverse(X_11)))),
    inference(subst,[],[refute_0_749:[bind(X,$fot(inverse(X_11)))]]) ).

cnf(refute_0_751,plain,
    multiply(n1,inverse(X_23)) = inverse(X_23),
    inference(subst,[],[refute_0_50:[bind(X,$fot(X_23))]]) ).

cnf(refute_0_752,plain,
    multiply(inverse(X_23),n1) = multiply(n1,inverse(X_23)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(inverse(X_23)))]]) ).

cnf(refute_0_753,plain,
    ( multiply(inverse(X_23),n1) != multiply(n1,inverse(X_23))
    | multiply(n1,inverse(X_23)) != inverse(X_23)
    | multiply(inverse(X_23),n1) = inverse(X_23) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(X_23),n1))),bind(Y0,$fot(multiply(n1,inverse(X_23)))),bind(Z0,$fot(inverse(X_23)))]]) ).

cnf(refute_0_754,plain,
    ( multiply(n1,inverse(X_23)) != inverse(X_23)
    | multiply(inverse(X_23),n1) = inverse(X_23) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),n1),multiply(n1,inverse(X_23))) )],[refute_0_752,refute_0_753]) ).

cnf(refute_0_755,plain,
    multiply(inverse(X_23),n1) = inverse(X_23),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_23)),inverse(X_23)) )],[refute_0_751,refute_0_754]) ).

cnf(refute_0_756,plain,
    ( multiply(inverse(X_23),n1) != add(inverse(X_23),inverse(X_23))
    | multiply(inverse(X_23),n1) != inverse(X_23)
    | inverse(X_23) = add(inverse(X_23),inverse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_23),n1),add(inverse(X_23),inverse(X_23))) ),[0],$fot(inverse(X_23))]]) ).

cnf(refute_0_757,plain,
    ( multiply(inverse(X_23),n1) != add(inverse(X_23),inverse(X_23))
    | inverse(X_23) = add(inverse(X_23),inverse(X_23)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),n1),inverse(X_23)) )],[refute_0_755,refute_0_756]) ).

cnf(refute_0_758,plain,
    inverse(X_23) = add(inverse(X_23),inverse(X_23)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_23),n1),add(inverse(X_23),inverse(X_23))) )],[refute_0_564,refute_0_757]) ).

cnf(refute_0_759,plain,
    inverse(X_11) = add(inverse(X_11),inverse(X_11)),
    inference(subst,[],[refute_0_758:[bind(X_23,$fot(X_11))]]) ).

cnf(refute_0_760,plain,
    ( inverse(X_11) != add(inverse(X_11),inverse(X_11))
    | add(inverse(X_11),inverse(X_11)) = inverse(X_11) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(X_11))),bind(Y0,$fot(add(inverse(X_11),inverse(X_11))))]]) ).

cnf(refute_0_761,plain,
    add(inverse(X_11),inverse(X_11)) = inverse(X_11),
    inference(resolve,[$cnf( $equal(inverse(X_11),add(inverse(X_11),inverse(X_11))) )],[refute_0_759,refute_0_760]) ).

cnf(refute_0_762,plain,
    ( add(inverse(X_11),inverse(X_11)) != inverse(X_11)
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(add(inverse(X_11),inverse(X_11)),inverse(X_11))))
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),add(inverse(X_11),multiply(X_12,add(add(inverse(X_11),inverse(X_11)),inverse(X_11))))) ),[1,1,1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_763,plain,
    ( pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(add(inverse(X_11),inverse(X_11)),inverse(X_11))))
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),inverse(X_11)),inverse(X_11)) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))),
    inference(resolve,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),add(inverse(X_11),multiply(X_12,add(add(inverse(X_11),inverse(X_11)),inverse(X_11))))) )],[refute_0_750,refute_0_763]) ).

cnf(refute_0_765,plain,
    pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),
    introduced(tautology,[refl,[$fot(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12))]]) ).

cnf(refute_0_766,plain,
    ( add(inverse(X_11),inverse(X_11)) != inverse(X_11)
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12)
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = pixley(inverse(X_11),X_11,X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12)) ),[1,0],$fot(inverse(X_11))]]) ).

cnf(refute_0_767,plain,
    ( add(inverse(X_11),inverse(X_11)) != inverse(X_11)
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = pixley(inverse(X_11),X_11,X_12) ),
    inference(resolve,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12)) )],[refute_0_765,refute_0_766]) ).

cnf(refute_0_768,plain,
    pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) = pixley(inverse(X_11),X_11,X_12),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),inverse(X_11)),inverse(X_11)) )],[refute_0_761,refute_0_767]) ).

cnf(refute_0_769,plain,
    ( pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))
    | pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != pixley(inverse(X_11),X_11,X_12)
    | pixley(inverse(X_11),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))) ),[0],$fot(pixley(inverse(X_11),X_11,X_12))]]) ).

cnf(refute_0_770,plain,
    ( pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))
    | pixley(inverse(X_11),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) ),
    inference(resolve,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),pixley(inverse(X_11),X_11,X_12)) )],[refute_0_768,refute_0_769]) ).

cnf(refute_0_771,plain,
    multiply(inverse(X),add(n1,X_24)) = add(multiply(n1,inverse(X)),multiply(X_24,inverse(X))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X))),bind(Y,$fot(n1)),bind(Z,$fot(X_24))]]) ).

cnf(refute_0_772,plain,
    ( multiply(inverse(X),add(n1,X_24)) != add(multiply(n1,inverse(X)),multiply(X_24,inverse(X)))
    | multiply(n1,inverse(X)) != inverse(X)
    | multiply(inverse(X),add(n1,X_24)) = add(inverse(X),multiply(X_24,inverse(X))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),add(multiply(n1,inverse(X)),multiply(X_24,inverse(X)))) ),[1,0],$fot(inverse(X))]]) ).

cnf(refute_0_773,plain,
    ( multiply(inverse(X),add(n1,X_24)) != add(multiply(n1,inverse(X)),multiply(X_24,inverse(X)))
    | multiply(inverse(X),add(n1,X_24)) = add(inverse(X),multiply(X_24,inverse(X))) ),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_50,refute_0_772]) ).

cnf(refute_0_774,plain,
    multiply(inverse(X),add(n1,X_24)) = add(inverse(X),multiply(X_24,inverse(X))),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),add(multiply(n1,inverse(X)),multiply(X_24,inverse(X)))) )],[refute_0_771,refute_0_773]) ).

cnf(refute_0_775,plain,
    ( multiply(inverse(X),add(n1,X_24)) != add(inverse(X),multiply(X_24,inverse(X)))
    | add(inverse(X),multiply(X_24,inverse(X))) = multiply(inverse(X),add(n1,X_24)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X),add(n1,X_24)))),bind(Y0,$fot(add(inverse(X),multiply(X_24,inverse(X)))))]]) ).

cnf(refute_0_776,plain,
    add(inverse(X),multiply(X_24,inverse(X))) = multiply(inverse(X),add(n1,X_24)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),add(inverse(X),multiply(X_24,inverse(X)))) )],[refute_0_774,refute_0_775]) ).

cnf(refute_0_777,plain,
    add(inverse(X_11),multiply(X_12,inverse(X_11))) = multiply(inverse(X_11),add(n1,X_12)),
    inference(subst,[],[refute_0_776:[bind(X,$fot(X_11)),bind(X_24,$fot(X_12))]]) ).

cnf(refute_0_778,plain,
    multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,add(inverse(X_11),inverse(X_11))),
    introduced(tautology,[refl,[$fot(multiply(X_12,add(inverse(X_11),inverse(X_11))))]]) ).

cnf(refute_0_779,plain,
    ( multiply(X_12,add(inverse(X_11),inverse(X_11))) != multiply(X_12,add(inverse(X_11),inverse(X_11)))
    | add(inverse(X_11),inverse(X_11)) != inverse(X_11)
    | multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(inverse(X_11),inverse(X_11))),multiply(X_12,add(inverse(X_11),inverse(X_11)))) ),[1,1],$fot(inverse(X_11))]]) ).

cnf(refute_0_780,plain,
    ( add(inverse(X_11),inverse(X_11)) != inverse(X_11)
    | multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(X_11),inverse(X_11))),multiply(X_12,add(inverse(X_11),inverse(X_11)))) )],[refute_0_778,refute_0_779]) ).

cnf(refute_0_781,plain,
    multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,inverse(X_11)),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),inverse(X_11)),inverse(X_11)) )],[refute_0_761,refute_0_780]) ).

cnf(refute_0_782,plain,
    add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))),
    introduced(tautology,[refl,[$fot(add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))))]]) ).

cnf(refute_0_783,plain,
    ( multiply(X_12,add(inverse(X_11),inverse(X_11))) != multiply(X_12,inverse(X_11))
    | add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))
    | add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = add(inverse(X_11),multiply(X_12,inverse(X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))),add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))) ),[1,1],$fot(multiply(X_12,inverse(X_11)))]]) ).

cnf(refute_0_784,plain,
    ( multiply(X_12,add(inverse(X_11),inverse(X_11))) != multiply(X_12,inverse(X_11))
    | add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = add(inverse(X_11),multiply(X_12,inverse(X_11))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))),add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))) )],[refute_0_782,refute_0_783]) ).

cnf(refute_0_785,plain,
    add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = add(inverse(X_11),multiply(X_12,inverse(X_11))),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(X_11),inverse(X_11))),multiply(X_12,inverse(X_11))) )],[refute_0_781,refute_0_784]) ).

cnf(refute_0_786,plain,
    ( add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != add(inverse(X_11),multiply(X_12,inverse(X_11)))
    | add(inverse(X_11),multiply(X_12,inverse(X_11))) != multiply(inverse(X_11),add(n1,X_12))
    | add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(inverse(X_11),add(n1,X_12)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))))),bind(Y0,$fot(add(inverse(X_11),multiply(X_12,inverse(X_11))))),bind(Z0,$fot(multiply(inverse(X_11),add(n1,X_12))))]]) ).

cnf(refute_0_787,plain,
    ( add(inverse(X_11),multiply(X_12,inverse(X_11))) != multiply(inverse(X_11),add(n1,X_12))
    | add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(inverse(X_11),add(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))),add(inverse(X_11),multiply(X_12,inverse(X_11)))) )],[refute_0_785,refute_0_786]) ).

cnf(refute_0_788,plain,
    add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(inverse(X_11),add(n1,X_12)),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_12,inverse(X_11))),multiply(inverse(X_11),add(n1,X_12))) )],[refute_0_777,refute_0_787]) ).

cnf(refute_0_789,plain,
    ( add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(inverse(X_11),add(n1,X_12))
    | pixley(inverse(X_11),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))
    | pixley(inverse(X_11),X_11,X_12) = multiply(inverse(X_11),add(n1,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_11),X_11,X_12),add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))) ),[1],$fot(multiply(inverse(X_11),add(n1,X_12)))]]) ).

cnf(refute_0_790,plain,
    ( pixley(inverse(X_11),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))
    | pixley(inverse(X_11),X_11,X_12) = multiply(inverse(X_11),add(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(inverse(X_11),add(n1,X_12))) )],[refute_0_788,refute_0_789]) ).

cnf(refute_0_791,plain,
    ( pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12) != add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))
    | pixley(inverse(X_11),X_11,X_12) = multiply(inverse(X_11),add(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_11),X_11,X_12),add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))) )],[refute_0_770,refute_0_790]) ).

cnf(refute_0_792,plain,
    pixley(inverse(X_11),X_11,X_12) = multiply(inverse(X_11),add(n1,X_12)),
    inference(resolve,[$cnf( $equal(pixley(add(inverse(X_11),inverse(X_11)),X_11,X_12),add(inverse(X_11),multiply(X_12,add(inverse(X_11),inverse(X_11))))) )],[refute_0_764,refute_0_791]) ).

cnf(refute_0_793,plain,
    ( pixley(inverse(X_11),X_11,X_12) != multiply(inverse(X_11),add(n1,X_12))
    | multiply(inverse(X_11),add(n1,X_12)) = pixley(inverse(X_11),X_11,X_12) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(pixley(inverse(X_11),X_11,X_12))),bind(Y0,$fot(multiply(inverse(X_11),add(n1,X_12))))]]) ).

cnf(refute_0_794,plain,
    multiply(inverse(X_11),add(n1,X_12)) = pixley(inverse(X_11),X_11,X_12),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_11),X_11,X_12),multiply(inverse(X_11),add(n1,X_12))) )],[refute_0_792,refute_0_793]) ).

cnf(refute_0_795,plain,
    multiply(inverse(n1),add(n1,X_24)) = pixley(inverse(n1),n1,X_24),
    inference(subst,[],[refute_0_794:[bind(X_11,$fot(n1)),bind(X_12,$fot(X_24))]]) ).

cnf(refute_0_796,plain,
    add(inverse(n1),multiply(X_24,inverse(n1))) = multiply(inverse(n1),add(n1,X_24)),
    inference(subst,[],[refute_0_776:[bind(X,$fot(n1))]]) ).

cnf(refute_0_797,plain,
    ( multiply(inverse(n1),add(n1,X_24)) != pixley(inverse(n1),n1,X_24)
    | add(inverse(n1),multiply(X_24,inverse(n1))) != multiply(inverse(n1),add(n1,X_24))
    | add(inverse(n1),multiply(X_24,inverse(n1))) = pixley(inverse(n1),n1,X_24) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(n1),multiply(X_24,inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,X_24)))),bind(Z0,$fot(pixley(inverse(n1),n1,X_24)))]]) ).

cnf(refute_0_798,plain,
    ( multiply(inverse(n1),add(n1,X_24)) != pixley(inverse(n1),n1,X_24)
    | add(inverse(n1),multiply(X_24,inverse(n1))) = pixley(inverse(n1),n1,X_24) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_24,inverse(n1))),multiply(inverse(n1),add(n1,X_24))) )],[refute_0_796,refute_0_797]) ).

cnf(refute_0_799,plain,
    add(inverse(n1),multiply(X_24,inverse(n1))) = pixley(inverse(n1),n1,X_24),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,X_24)),pixley(inverse(n1),n1,X_24)) )],[refute_0_795,refute_0_798]) ).

cnf(refute_0_800,plain,
    ( multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != add(inverse(n1),multiply(X_24,inverse(n1)))
    | add(inverse(n1),multiply(X_24,inverse(n1))) != pixley(inverse(n1),n1,X_24)
    | multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = pixley(inverse(n1),n1,X_24) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)))),bind(Y0,$fot(add(inverse(n1),multiply(X_24,inverse(n1))))),bind(Z0,$fot(pixley(inverse(n1),n1,X_24)))]]) ).

cnf(refute_0_801,plain,
    ( add(inverse(n1),multiply(X_24,inverse(n1))) != pixley(inverse(n1),n1,X_24)
    | multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = pixley(inverse(n1),n1,X_24) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)),add(inverse(n1),multiply(X_24,inverse(n1)))) )],[refute_0_740,refute_0_800]) ).

cnf(refute_0_802,plain,
    multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) = pixley(inverse(n1),n1,X_24),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_24,inverse(n1))),pixley(inverse(n1),n1,X_24)) )],[refute_0_799,refute_0_801]) ).

cnf(refute_0_803,plain,
    ( multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != add(inverse(n1),inverse(n1))
    | multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != pixley(inverse(n1),n1,X_24)
    | pixley(inverse(n1),n1,X_24) = add(inverse(n1),inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)),add(inverse(n1),inverse(n1))) ),[0],$fot(pixley(inverse(n1),n1,X_24))]]) ).

cnf(refute_0_804,plain,
    ( multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != add(inverse(n1),inverse(n1))
    | pixley(inverse(n1),n1,X_24) = add(inverse(n1),inverse(n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)),pixley(inverse(n1),n1,X_24)) )],[refute_0_802,refute_0_803]) ).

cnf(refute_0_805,plain,
    pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1)))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(inverse(X_104))),bind(Y,$fot(n1)),bind(Z,$fot(multiply(inverse(X_104),n1)))]]) ).

cnf(refute_0_806,plain,
    multiply(multiply(X_57,n1),n1) = multiply(multiply(X_57,n1),add(X_57,inverse(add(multiply(Y,n1),multiply(X_57,n1))))),
    inference(subst,[],[refute_0_79:[bind(X_30,$fot(multiply(Y,n1))),bind(X_54,$fot(X_57))]]) ).

cnf(refute_0_807,plain,
    multiply(n1,add(Y,X_57)) = add(multiply(Y,n1),multiply(X_57,n1)),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(n1)),bind(Z,$fot(X_57))]]) ).

cnf(refute_0_808,plain,
    ( multiply(n1,add(Y,X_57)) != add(multiply(Y,n1),multiply(X_57,n1))
    | add(multiply(Y,n1),multiply(X_57,n1)) = multiply(n1,add(Y,X_57)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,add(Y,X_57)))),bind(Y0,$fot(add(multiply(Y,n1),multiply(X_57,n1))))]]) ).

cnf(refute_0_809,plain,
    add(multiply(Y,n1),multiply(X_57,n1)) = multiply(n1,add(Y,X_57)),
    inference(resolve,[$cnf( $equal(multiply(n1,add(Y,X_57)),add(multiply(Y,n1),multiply(X_57,n1))) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    ( multiply(multiply(X_57,n1),n1) != multiply(multiply(X_57,n1),add(X_57,inverse(add(multiply(Y,n1),multiply(X_57,n1)))))
    | add(multiply(Y,n1),multiply(X_57,n1)) != multiply(n1,add(Y,X_57))
    | multiply(multiply(X_57,n1),n1) = multiply(multiply(X_57,n1),add(X_57,inverse(multiply(n1,add(Y,X_57))))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_57,n1),n1),multiply(multiply(X_57,n1),add(X_57,inverse(add(multiply(Y,n1),multiply(X_57,n1)))))) ),[1,1,1,0],$fot(multiply(n1,add(Y,X_57)))]]) ).

cnf(refute_0_811,plain,
    ( multiply(multiply(X_57,n1),n1) != multiply(multiply(X_57,n1),add(X_57,inverse(add(multiply(Y,n1),multiply(X_57,n1)))))
    | multiply(multiply(X_57,n1),n1) = multiply(multiply(X_57,n1),add(X_57,inverse(multiply(n1,add(Y,X_57))))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,n1),multiply(X_57,n1)),multiply(n1,add(Y,X_57))) )],[refute_0_809,refute_0_810]) ).

cnf(refute_0_812,plain,
    multiply(multiply(X_57,n1),n1) = multiply(multiply(X_57,n1),add(X_57,inverse(multiply(n1,add(Y,X_57))))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_57,n1),n1),multiply(multiply(X_57,n1),add(X_57,inverse(add(multiply(Y,n1),multiply(X_57,n1)))))) )],[refute_0_806,refute_0_811]) ).

cnf(refute_0_813,plain,
    multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,add(X_102,inverse(X_102)))))),
    inference(subst,[],[refute_0_812:[bind(Y,$fot(X_102)),bind(X_57,$fot(inverse(X_102)))]]) ).

cnf(refute_0_814,plain,
    add(X_102,inverse(X_102)) = n1,
    inference(subst,[],[additive_inverse:[bind(X,$fot(X_102))]]) ).

cnf(refute_0_815,plain,
    ( multiply(multiply(inverse(X_102),n1),n1) != multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,add(X_102,inverse(X_102))))))
    | add(X_102,inverse(X_102)) != n1
    | multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),n1),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,add(X_102,inverse(X_102))))))) ),[1,1,1,0,1],$fot(n1)]]) ).

cnf(refute_0_816,plain,
    ( multiply(multiply(inverse(X_102),n1),n1) != multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,add(X_102,inverse(X_102))))))
    | multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) ),
    inference(resolve,[$cnf( $equal(add(X_102,inverse(X_102)),n1) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),n1),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,add(X_102,inverse(X_102))))))) )],[refute_0_813,refute_0_816]) ).

cnf(refute_0_818,plain,
    add(inverse(X_102),inverse(multiply(n1,n1))) = add(inverse(X_102),inverse(multiply(n1,n1))),
    introduced(tautology,[refl,[$fot(add(inverse(X_102),inverse(multiply(n1,n1))))]]) ).

cnf(refute_0_819,plain,
    ( add(inverse(X_102),inverse(multiply(n1,n1))) != add(inverse(X_102),inverse(multiply(n1,n1)))
    | inverse(multiply(n1,n1)) != inverse(n1)
    | add(inverse(X_102),inverse(multiply(n1,n1))) = add(inverse(X_102),inverse(n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_102),inverse(multiply(n1,n1))),add(inverse(X_102),inverse(multiply(n1,n1)))) ),[1,1],$fot(inverse(n1))]]) ).

cnf(refute_0_820,plain,
    ( inverse(multiply(n1,n1)) != inverse(n1)
    | add(inverse(X_102),inverse(multiply(n1,n1))) = add(inverse(X_102),inverse(n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_102),inverse(multiply(n1,n1))),add(inverse(X_102),inverse(multiply(n1,n1)))) )],[refute_0_818,refute_0_819]) ).

cnf(refute_0_821,plain,
    add(inverse(X_102),inverse(multiply(n1,n1))) = add(inverse(X_102),inverse(n1)),
    inference(resolve,[$cnf( $equal(inverse(multiply(n1,n1)),inverse(n1)) )],[refute_0_488,refute_0_820]) ).

cnf(refute_0_822,plain,
    multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))),
    introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))))]]) ).

cnf(refute_0_823,plain,
    ( multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))
    | add(inverse(X_102),inverse(multiply(n1,n1))) != add(inverse(X_102),inverse(n1))
    | multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))) ),[1,1],$fot(add(inverse(X_102),inverse(n1)))]]) ).

cnf(refute_0_824,plain,
    ( add(inverse(X_102),inverse(multiply(n1,n1))) != add(inverse(X_102),inverse(n1))
    | multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))) )],[refute_0_822,refute_0_823]) ).

cnf(refute_0_825,plain,
    multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))),
    inference(resolve,[$cnf( $equal(add(inverse(X_102),inverse(multiply(n1,n1))),add(inverse(X_102),inverse(n1))) )],[refute_0_821,refute_0_824]) ).

cnf(refute_0_826,plain,
    ( multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))) != multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1)))
    | multiply(multiply(inverse(X_102),n1),n1) != multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),n1),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))) ),[1],$fot(multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))))]]) ).

cnf(refute_0_827,plain,
    ( multiply(multiply(inverse(X_102),n1),n1) != multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))
    | multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1)))),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1)))) )],[refute_0_825,refute_0_826]) ).

cnf(refute_0_828,plain,
    multiply(multiply(inverse(X_102),n1),n1) = multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_102),n1),n1),multiply(multiply(inverse(X_102),n1),add(inverse(X_102),inverse(multiply(n1,n1))))) )],[refute_0_817,refute_0_827]) ).

cnf(refute_0_829,plain,
    multiply(multiply(inverse(X_104),n1),n1) = multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))),
    inference(subst,[],[refute_0_828:[bind(X_102,$fot(X_104))]]) ).

cnf(refute_0_830,plain,
    ( multiply(multiply(inverse(X_104),n1),n1) != multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1)))
    | multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))) = multiply(multiply(inverse(X_104),n1),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(multiply(inverse(X_104),n1),n1))),bind(Y0,$fot(multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1)))))]]) ).

cnf(refute_0_831,plain,
    multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))) = multiply(multiply(inverse(X_104),n1),n1),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_104),n1),n1),multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1)))) )],[refute_0_829,refute_0_830]) ).

cnf(refute_0_832,plain,
    ( multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))) != multiply(multiply(inverse(X_104),n1),n1)
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))))
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))))) ),[1,1],$fot(multiply(multiply(inverse(X_104),n1),n1))]]) ).

cnf(refute_0_833,plain,
    ( pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))))
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))),multiply(multiply(inverse(X_104),n1),n1)) )],[refute_0_831,refute_0_832]) ).

cnf(refute_0_834,plain,
    pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),add(inverse(X_104),inverse(n1))))) )],[refute_0_805,refute_0_833]) ).

cnf(refute_0_835,plain,
    pixley(inverse(X_104),n1,inverse(X_104)) = inverse(X_104),
    inference(subst,[],[pixley3:[bind(X,$fot(inverse(X_104))),bind(Y,$fot(n1))]]) ).

cnf(refute_0_836,plain,
    multiply(n1,inverse(X_104)) = inverse(X_104),
    inference(subst,[],[refute_0_50:[bind(X,$fot(X_104))]]) ).

cnf(refute_0_837,plain,
    multiply(inverse(X_104),n1) = multiply(n1,inverse(X_104)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(inverse(X_104)))]]) ).

cnf(refute_0_838,plain,
    ( multiply(inverse(X_104),n1) != multiply(n1,inverse(X_104))
    | multiply(n1,inverse(X_104)) != inverse(X_104)
    | multiply(inverse(X_104),n1) = inverse(X_104) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(X_104),n1))),bind(Y0,$fot(multiply(n1,inverse(X_104)))),bind(Z0,$fot(inverse(X_104)))]]) ).

cnf(refute_0_839,plain,
    ( multiply(n1,inverse(X_104)) != inverse(X_104)
    | multiply(inverse(X_104),n1) = inverse(X_104) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),n1),multiply(n1,inverse(X_104))) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    multiply(inverse(X_104),n1) = inverse(X_104),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_104)),inverse(X_104)) )],[refute_0_836,refute_0_839]) ).

cnf(refute_0_841,plain,
    pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),
    introduced(tautology,[refl,[$fot(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)))]]) ).

cnf(refute_0_842,plain,
    ( multiply(inverse(X_104),n1) != inverse(X_104)
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != pixley(inverse(X_104),n1,multiply(inverse(X_104),n1))
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = pixley(inverse(X_104),n1,inverse(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),pixley(inverse(X_104),n1,multiply(inverse(X_104),n1))) ),[1,2],$fot(inverse(X_104))]]) ).

cnf(refute_0_843,plain,
    ( multiply(inverse(X_104),n1) != inverse(X_104)
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = pixley(inverse(X_104),n1,inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),pixley(inverse(X_104),n1,multiply(inverse(X_104),n1))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = pixley(inverse(X_104),n1,inverse(X_104)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),n1),inverse(X_104)) )],[refute_0_840,refute_0_843]) ).

cnf(refute_0_845,plain,
    ( pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != pixley(inverse(X_104),n1,inverse(X_104))
    | pixley(inverse(X_104),n1,inverse(X_104)) != inverse(X_104)
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = inverse(X_104) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)))),bind(Y0,$fot(pixley(inverse(X_104),n1,inverse(X_104)))),bind(Z0,$fot(inverse(X_104)))]]) ).

cnf(refute_0_846,plain,
    ( pixley(inverse(X_104),n1,inverse(X_104)) != inverse(X_104)
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = inverse(X_104) ),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),pixley(inverse(X_104),n1,inverse(X_104))) )],[refute_0_844,refute_0_845]) ).

cnf(refute_0_847,plain,
    pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) = inverse(X_104),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_104),n1,inverse(X_104)),inverse(X_104)) )],[refute_0_835,refute_0_846]) ).

cnf(refute_0_848,plain,
    ( pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))
    | pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != inverse(X_104)
    | inverse(X_104) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))) ),[0],$fot(inverse(X_104))]]) ).

cnf(refute_0_849,plain,
    ( pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))
    | inverse(X_104) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) ),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),inverse(X_104)) )],[refute_0_847,refute_0_848]) ).

cnf(refute_0_850,plain,
    multiply(n1,multiply(inverse(X_104),n1)) = multiply(n1,multiply(inverse(X_104),n1)),
    introduced(tautology,[refl,[$fot(multiply(n1,multiply(inverse(X_104),n1)))]]) ).

cnf(refute_0_851,plain,
    ( multiply(inverse(X_104),n1) != inverse(X_104)
    | multiply(n1,multiply(inverse(X_104),n1)) != multiply(n1,multiply(inverse(X_104),n1))
    | multiply(n1,multiply(inverse(X_104),n1)) = multiply(n1,inverse(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(inverse(X_104),n1)),multiply(n1,multiply(inverse(X_104),n1))) ),[1,1],$fot(inverse(X_104))]]) ).

cnf(refute_0_852,plain,
    ( multiply(inverse(X_104),n1) != inverse(X_104)
    | multiply(n1,multiply(inverse(X_104),n1)) = multiply(n1,inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(X_104),n1)),multiply(n1,multiply(inverse(X_104),n1))) )],[refute_0_850,refute_0_851]) ).

cnf(refute_0_853,plain,
    multiply(n1,multiply(inverse(X_104),n1)) = multiply(n1,inverse(X_104)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),n1),inverse(X_104)) )],[refute_0_840,refute_0_852]) ).

cnf(refute_0_854,plain,
    ( multiply(n1,multiply(inverse(X_104),n1)) != multiply(n1,inverse(X_104))
    | multiply(n1,inverse(X_104)) != inverse(X_104)
    | multiply(n1,multiply(inverse(X_104),n1)) = inverse(X_104) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(n1,multiply(inverse(X_104),n1)))),bind(Y0,$fot(multiply(n1,inverse(X_104)))),bind(Z0,$fot(inverse(X_104)))]]) ).

cnf(refute_0_855,plain,
    ( multiply(n1,inverse(X_104)) != inverse(X_104)
    | multiply(n1,multiply(inverse(X_104),n1)) = inverse(X_104) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(X_104),n1)),multiply(n1,inverse(X_104))) )],[refute_0_853,refute_0_854]) ).

cnf(refute_0_856,plain,
    multiply(n1,multiply(inverse(X_104),n1)) = inverse(X_104),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_104)),inverse(X_104)) )],[refute_0_836,refute_0_855]) ).

cnf(refute_0_857,plain,
    multiply(multiply(inverse(X_104),n1),n1) = multiply(n1,multiply(inverse(X_104),n1)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(multiply(inverse(X_104),n1)))]]) ).

cnf(refute_0_858,plain,
    ( multiply(multiply(inverse(X_104),n1),n1) != multiply(n1,multiply(inverse(X_104),n1))
    | multiply(n1,multiply(inverse(X_104),n1)) != inverse(X_104)
    | multiply(multiply(inverse(X_104),n1),n1) = inverse(X_104) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(inverse(X_104),n1),n1))),bind(Y0,$fot(multiply(n1,multiply(inverse(X_104),n1)))),bind(Z0,$fot(inverse(X_104)))]]) ).

cnf(refute_0_859,plain,
    ( multiply(n1,multiply(inverse(X_104),n1)) != inverse(X_104)
    | multiply(multiply(inverse(X_104),n1),n1) = inverse(X_104) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_104),n1),n1),multiply(n1,multiply(inverse(X_104),n1))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    multiply(multiply(inverse(X_104),n1),n1) = inverse(X_104),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(inverse(X_104),n1)),inverse(X_104)) )],[refute_0_856,refute_0_859]) ).

cnf(refute_0_861,plain,
    add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) = add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)),
    introduced(tautology,[refl,[$fot(add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)))]]) ).

cnf(refute_0_862,plain,
    ( multiply(multiply(inverse(X_104),n1),n1) != inverse(X_104)
    | add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))
    | add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))) ),[1,1],$fot(inverse(X_104))]]) ).

cnf(refute_0_863,plain,
    ( multiply(multiply(inverse(X_104),n1),n1) != inverse(X_104)
    | add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))) )],[refute_0_861,refute_0_862]) ).

cnf(refute_0_864,plain,
    add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)),
    inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_104),n1),n1),inverse(X_104)) )],[refute_0_860,refute_0_863]) ).

cnf(refute_0_865,plain,
    ( add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)) != add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))
    | inverse(X_104) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))
    | inverse(X_104) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_104),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))) ),[1],$fot(add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)))]]) ).

cnf(refute_0_866,plain,
    ( inverse(X_104) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))
    | inverse(X_104) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1)),add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))) )],[refute_0_864,refute_0_865]) ).

cnf(refute_0_867,plain,
    ( pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)) != add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))
    | inverse(X_104) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(inverse(X_104),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))) )],[refute_0_849,refute_0_866]) ).

cnf(refute_0_868,plain,
    inverse(X_104) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)),
    inference(resolve,[$cnf( $equal(pixley(inverse(X_104),n1,multiply(inverse(X_104),n1)),add(multiply(inverse(X_104),inverse(n1)),multiply(multiply(inverse(X_104),n1),n1))) )],[refute_0_834,refute_0_867]) ).

cnf(refute_0_869,plain,
    multiply(inverse(X_104),inverse(n1)) = inverse(n1),
    inference(subst,[],[refute_0_735:[bind(X_60,$fot(inverse(X_104)))]]) ).

cnf(refute_0_870,plain,
    add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) = add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)),
    introduced(tautology,[refl,[$fot(add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)))]]) ).

cnf(refute_0_871,plain,
    ( multiply(inverse(X_104),inverse(n1)) != inverse(n1)
    | add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) != add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))
    | add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) = add(inverse(n1),inverse(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)),add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_872,plain,
    ( multiply(inverse(X_104),inverse(n1)) != inverse(n1)
    | add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) = add(inverse(n1),inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)),add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))) )],[refute_0_870,refute_0_871]) ).

cnf(refute_0_873,plain,
    add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) = add(inverse(n1),inverse(X_104)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_104),inverse(n1)),inverse(n1)) )],[refute_0_869,refute_0_872]) ).

cnf(refute_0_874,plain,
    ( add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)) != add(inverse(n1),inverse(X_104))
    | inverse(X_104) != add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))
    | inverse(X_104) = add(inverse(n1),inverse(X_104)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(X_104),add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))) ),[1],$fot(add(inverse(n1),inverse(X_104)))]]) ).

cnf(refute_0_875,plain,
    ( inverse(X_104) != add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))
    | inverse(X_104) = add(inverse(n1),inverse(X_104)) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(X_104),inverse(n1)),inverse(X_104)),add(inverse(n1),inverse(X_104))) )],[refute_0_873,refute_0_874]) ).

cnf(refute_0_876,plain,
    inverse(X_104) = add(inverse(n1),inverse(X_104)),
    inference(resolve,[$cnf( $equal(inverse(X_104),add(multiply(inverse(X_104),inverse(n1)),inverse(X_104))) )],[refute_0_868,refute_0_875]) ).

cnf(refute_0_877,plain,
    ( inverse(X_104) != add(inverse(n1),inverse(X_104))
    | add(inverse(n1),inverse(X_104)) = inverse(X_104) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(X_104))),bind(Y0,$fot(add(inverse(n1),inverse(X_104))))]]) ).

cnf(refute_0_878,plain,
    add(inverse(n1),inverse(X_104)) = inverse(X_104),
    inference(resolve,[$cnf( $equal(inverse(X_104),add(inverse(n1),inverse(X_104))) )],[refute_0_876,refute_0_877]) ).

cnf(refute_0_879,plain,
    add(inverse(n1),inverse(n1)) = inverse(n1),
    inference(subst,[],[refute_0_878:[bind(X_104,$fot(n1))]]) ).

cnf(refute_0_880,plain,
    ( add(inverse(n1),inverse(n1)) != inverse(n1)
    | pixley(inverse(n1),n1,X_24) != add(inverse(n1),inverse(n1))
    | pixley(inverse(n1),n1,X_24) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),n1,X_24),add(inverse(n1),inverse(n1))) ),[1],$fot(inverse(n1))]]) ).

cnf(refute_0_881,plain,
    ( pixley(inverse(n1),n1,X_24) != add(inverse(n1),inverse(n1))
    | pixley(inverse(n1),n1,X_24) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(n1)),inverse(n1)) )],[refute_0_879,refute_0_880]) ).

cnf(refute_0_882,plain,
    ( multiply(inverse(n1),add(add(X,inverse(n1)),X_24)) != add(inverse(n1),inverse(n1))
    | pixley(inverse(n1),n1,X_24) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,X_24),add(inverse(n1),inverse(n1))) )],[refute_0_804,refute_0_881]) ).

cnf(refute_0_883,plain,
    pixley(inverse(n1),n1,X_24) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(add(X,inverse(n1)),X_24)),add(inverse(n1),inverse(n1))) )],[refute_0_744,refute_0_882]) ).

cnf(refute_0_884,plain,
    pixley(inverse(n1),n1,Z) = inverse(n1),
    inference(subst,[],[refute_0_883:[bind(X_24,$fot(Z))]]) ).

cnf(refute_0_885,plain,
    multiply(inverse(n1),add(n1,Z)) = pixley(inverse(n1),n1,Z),
    inference(subst,[],[refute_0_794:[bind(X_11,$fot(n1)),bind(X_12,$fot(Z))]]) ).

cnf(refute_0_886,plain,
    ( multiply(inverse(n1),add(n1,Z)) != pixley(inverse(n1),n1,Z)
    | pixley(inverse(n1),n1,Z) != inverse(n1)
    | multiply(inverse(n1),add(n1,Z)) = inverse(n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(n1),add(n1,Z)))),bind(Y0,$fot(pixley(inverse(n1),n1,Z))),bind(Z0,$fot(inverse(n1)))]]) ).

cnf(refute_0_887,plain,
    ( pixley(inverse(n1),n1,Z) != inverse(n1)
    | multiply(inverse(n1),add(n1,Z)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,Z)),pixley(inverse(n1),n1,Z)) )],[refute_0_885,refute_0_886]) ).

cnf(refute_0_888,plain,
    multiply(inverse(n1),add(n1,Z)) = inverse(n1),
    inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,Z),inverse(n1)) )],[refute_0_884,refute_0_887]) ).

cnf(refute_0_889,plain,
    add(inverse(n1),multiply(Z,inverse(n1))) = multiply(inverse(n1),add(n1,Z)),
    inference(subst,[],[refute_0_776:[bind(X,$fot(n1)),bind(X_24,$fot(Z))]]) ).

cnf(refute_0_890,plain,
    ( multiply(inverse(n1),add(n1,Z)) != inverse(n1)
    | add(inverse(n1),multiply(Z,inverse(n1))) != multiply(inverse(n1),add(n1,Z))
    | add(inverse(n1),multiply(Z,inverse(n1))) = inverse(n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(n1),multiply(Z,inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(n1,Z)))),bind(Z0,$fot(inverse(n1)))]]) ).

cnf(refute_0_891,plain,
    ( multiply(inverse(n1),add(n1,Z)) != inverse(n1)
    | add(inverse(n1),multiply(Z,inverse(n1))) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,inverse(n1))),multiply(inverse(n1),add(n1,Z))) )],[refute_0_889,refute_0_890]) ).

cnf(refute_0_892,plain,
    add(inverse(n1),multiply(Z,inverse(n1))) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(n1,Z)),inverse(n1)) )],[refute_0_888,refute_0_891]) ).

cnf(refute_0_893,plain,
    ( multiply(inverse(n1),add(Y,Z)) != add(inverse(n1),multiply(Z,inverse(n1)))
    | add(inverse(n1),multiply(Z,inverse(n1))) != inverse(n1)
    | multiply(inverse(n1),add(Y,Z)) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(n1),add(Y,Z)),inverse(n1)) ),[0],$fot(add(inverse(n1),multiply(Z,inverse(n1))))]]) ).

cnf(refute_0_894,plain,
    ( multiply(inverse(n1),add(Y,Z)) != add(inverse(n1),multiply(Z,inverse(n1)))
    | multiply(inverse(n1),add(Y,Z)) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,inverse(n1))),inverse(n1)) )],[refute_0_892,refute_0_893]) ).

cnf(refute_0_895,plain,
    multiply(inverse(n1),add(Y,Z)) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(inverse(n1),multiply(Z,inverse(n1)))) )],[refute_0_739,refute_0_894]) ).

cnf(refute_0_896,plain,
    multiply(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) = inverse(n1),
    inference(subst,[],[refute_0_895:[bind(Y,$fot(multiply(X_11,inverse(X_11)))),bind(Z,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_897,plain,
    ( multiply(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) != inverse(n1)
    | add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) != X_12
    | multiply(inverse(n1),X_12) = inverse(n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),inverse(n1)) ),[0,1],$fot(X_12)]]) ).

cnf(refute_0_898,plain,
    ( multiply(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) != inverse(n1)
    | multiply(inverse(n1),X_12) = inverse(n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),X_12) )],[refute_0_582,refute_0_897]) ).

cnf(refute_0_899,plain,
    multiply(inverse(n1),X_12) = inverse(n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),inverse(n1)) )],[refute_0_896,refute_0_898]) ).

cnf(refute_0_900,plain,
    multiply(inverse(n1),X) = inverse(n1),
    inference(subst,[],[refute_0_899:[bind(X_12,$fot(X))]]) ).

cnf(refute_0_901,plain,
    ( multiply(X,add(inverse(n1),Z)) != add(multiply(inverse(n1),X),multiply(Z,X))
    | multiply(inverse(n1),X) != inverse(n1)
    | multiply(X,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,X)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(inverse(n1),Z)),add(multiply(inverse(n1),X),multiply(Z,X))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_902,plain,
    ( multiply(X,add(inverse(n1),Z)) != add(multiply(inverse(n1),X),multiply(Z,X))
    | multiply(X,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,X)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),X),inverse(n1)) )],[refute_0_900,refute_0_901]) ).

cnf(refute_0_903,plain,
    multiply(X,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,X)),
    inference(resolve,[$cnf( $equal(multiply(X,add(inverse(n1),Z)),add(multiply(inverse(n1),X),multiply(Z,X))) )],[refute_0_688,refute_0_902]) ).

cnf(refute_0_904,plain,
    ( multiply(X,add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,X))
    | add(inverse(n1),multiply(Z,X)) = multiply(X,add(inverse(n1),Z)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X,add(inverse(n1),Z)))),bind(Y0,$fot(add(inverse(n1),multiply(Z,X))))]]) ).

cnf(refute_0_905,plain,
    add(inverse(n1),multiply(Z,X)) = multiply(X,add(inverse(n1),Z)),
    inference(resolve,[$cnf( $equal(multiply(X,add(inverse(n1),Z)),add(inverse(n1),multiply(Z,X))) )],[refute_0_903,refute_0_904]) ).

cnf(refute_0_906,plain,
    add(inverse(n1),multiply(n1,X_12)) = multiply(X_12,add(inverse(n1),n1)),
    inference(subst,[],[refute_0_905:[bind(X,$fot(X_12)),bind(Z,$fot(n1))]]) ).

cnf(refute_0_907,plain,
    ( multiply(X_12,add(inverse(n1),n1)) != multiply(X_12,n1)
    | add(inverse(n1),multiply(n1,X_12)) != multiply(X_12,add(inverse(n1),n1))
    | add(inverse(n1),multiply(n1,X_12)) = multiply(X_12,n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(n1),multiply(n1,X_12)))),bind(Y0,$fot(multiply(X_12,add(inverse(n1),n1)))),bind(Z0,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_908,plain,
    ( multiply(X_12,add(inverse(n1),n1)) != multiply(X_12,n1)
    | add(inverse(n1),multiply(n1,X_12)) = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(n1,X_12)),multiply(X_12,add(inverse(n1),n1))) )],[refute_0_906,refute_0_907]) ).

cnf(refute_0_909,plain,
    add(inverse(n1),multiply(n1,X_12)) = multiply(X_12,n1),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(n1),n1)),multiply(X_12,n1)) )],[refute_0_687,refute_0_908]) ).

cnf(refute_0_910,plain,
    multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) = multiply(X_62,add(inverse(n1),inverse(X_62))),
    inference(subst,[],[refute_0_156:[bind(X_60,$fot(inverse(n1)))]]) ).

cnf(refute_0_911,plain,
    multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) = inverse(n1),
    inference(subst,[],[refute_0_899:[bind(X_12,$fot(multiply(X_62,add(inverse(n1),inverse(X_62)))))]]) ).

cnf(refute_0_912,plain,
    ( multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) != multiply(X_62,add(inverse(n1),inverse(X_62)))
    | multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) != inverse(n1)
    | inverse(n1) = multiply(X_62,add(inverse(n1),inverse(X_62))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))),multiply(X_62,add(inverse(n1),inverse(X_62)))) ),[0],$fot(inverse(n1))]]) ).

cnf(refute_0_913,plain,
    ( multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) != multiply(X_62,add(inverse(n1),inverse(X_62)))
    | inverse(n1) = multiply(X_62,add(inverse(n1),inverse(X_62))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))),inverse(n1)) )],[refute_0_911,refute_0_912]) ).

cnf(refute_0_914,plain,
    inverse(n1) = multiply(X_62,add(inverse(n1),inverse(X_62))),
    inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))),multiply(X_62,add(inverse(n1),inverse(X_62)))) )],[refute_0_910,refute_0_913]) ).

cnf(refute_0_915,plain,
    add(inverse(n1),inverse(X_62)) = inverse(X_62),
    inference(subst,[],[refute_0_878:[bind(X_104,$fot(X_62))]]) ).

cnf(refute_0_916,plain,
    multiply(X_62,add(inverse(n1),inverse(X_62))) = multiply(X_62,add(inverse(n1),inverse(X_62))),
    introduced(tautology,[refl,[$fot(multiply(X_62,add(inverse(n1),inverse(X_62))))]]) ).

cnf(refute_0_917,plain,
    ( multiply(X_62,add(inverse(n1),inverse(X_62))) != multiply(X_62,add(inverse(n1),inverse(X_62)))
    | add(inverse(n1),inverse(X_62)) != inverse(X_62)
    | multiply(X_62,add(inverse(n1),inverse(X_62))) = multiply(X_62,inverse(X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,add(inverse(n1),inverse(X_62))),multiply(X_62,add(inverse(n1),inverse(X_62)))) ),[1,1],$fot(inverse(X_62))]]) ).

cnf(refute_0_918,plain,
    ( add(inverse(n1),inverse(X_62)) != inverse(X_62)
    | multiply(X_62,add(inverse(n1),inverse(X_62))) = multiply(X_62,inverse(X_62)) ),
    inference(resolve,[$cnf( $equal(multiply(X_62,add(inverse(n1),inverse(X_62))),multiply(X_62,add(inverse(n1),inverse(X_62)))) )],[refute_0_916,refute_0_917]) ).

cnf(refute_0_919,plain,
    multiply(X_62,add(inverse(n1),inverse(X_62))) = multiply(X_62,inverse(X_62)),
    inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(X_62)),inverse(X_62)) )],[refute_0_915,refute_0_918]) ).

cnf(refute_0_920,plain,
    ( multiply(X_62,add(inverse(n1),inverse(X_62))) != multiply(X_62,inverse(X_62))
    | inverse(n1) != multiply(X_62,add(inverse(n1),inverse(X_62)))
    | inverse(n1) = multiply(X_62,inverse(X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) ),[1],$fot(multiply(X_62,inverse(X_62)))]]) ).

cnf(refute_0_921,plain,
    ( inverse(n1) != multiply(X_62,add(inverse(n1),inverse(X_62)))
    | inverse(n1) = multiply(X_62,inverse(X_62)) ),
    inference(resolve,[$cnf( $equal(multiply(X_62,add(inverse(n1),inverse(X_62))),multiply(X_62,inverse(X_62))) )],[refute_0_919,refute_0_920]) ).

cnf(refute_0_922,plain,
    inverse(n1) = multiply(X_62,inverse(X_62)),
    inference(resolve,[$cnf( $equal(inverse(n1),multiply(X_62,add(inverse(n1),inverse(X_62)))) )],[refute_0_914,refute_0_921]) ).

cnf(refute_0_923,plain,
    ( inverse(n1) != multiply(X_62,inverse(X_62))
    | multiply(X_62,inverse(X_62)) = inverse(n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(X_62,inverse(X_62))))]]) ).

cnf(refute_0_924,plain,
    multiply(X_62,inverse(X_62)) = inverse(n1),
    inference(resolve,[$cnf( $equal(inverse(n1),multiply(X_62,inverse(X_62))) )],[refute_0_922,refute_0_923]) ).

cnf(refute_0_925,plain,
    multiply(X_11,inverse(X_11)) = inverse(n1),
    inference(subst,[],[refute_0_924:[bind(X_62,$fot(X_11))]]) ).

cnf(refute_0_926,plain,
    add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)),
    introduced(tautology,[refl,[$fot(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)))]]) ).

cnf(refute_0_927,plain,
    ( multiply(X_11,inverse(X_11)) != inverse(n1)
    | add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) != add(multiply(X_11,inverse(X_11)),multiply(n1,X_12))
    | add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = add(inverse(n1),multiply(n1,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)),add(multiply(X_11,inverse(X_11)),multiply(n1,X_12))) ),[1,0],$fot(inverse(n1))]]) ).

cnf(refute_0_928,plain,
    ( multiply(X_11,inverse(X_11)) != inverse(n1)
    | add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = add(inverse(n1),multiply(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)),add(multiply(X_11,inverse(X_11)),multiply(n1,X_12))) )],[refute_0_926,refute_0_927]) ).

cnf(refute_0_929,plain,
    add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = add(inverse(n1),multiply(n1,X_12)),
    inference(resolve,[$cnf( $equal(multiply(X_11,inverse(X_11)),inverse(n1)) )],[refute_0_925,refute_0_928]) ).

cnf(refute_0_930,plain,
    ( add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) != add(inverse(n1),multiply(n1,X_12))
    | add(inverse(n1),multiply(n1,X_12)) != multiply(X_12,n1)
    | add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = multiply(X_12,n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)))),bind(Y0,$fot(add(inverse(n1),multiply(n1,X_12)))),bind(Z0,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_931,plain,
    ( add(inverse(n1),multiply(n1,X_12)) != multiply(X_12,n1)
    | add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)),add(inverse(n1),multiply(n1,X_12))) )],[refute_0_929,refute_0_930]) ).

cnf(refute_0_932,plain,
    add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) = multiply(X_12,n1),
    inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(n1,X_12)),multiply(X_12,n1)) )],[refute_0_909,refute_0_931]) ).

cnf(refute_0_933,plain,
    ( X_12 != add(multiply(X_11,inverse(X_11)),multiply(n1,X_12))
    | add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)) != multiply(X_12,n1)
    | X_12 = multiply(X_12,n1) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_12,multiply(X_12,n1)) ),[0],$fot(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)))]]) ).

cnf(refute_0_934,plain,
    ( X_12 != add(multiply(X_11,inverse(X_11)),multiply(n1,X_12))
    | X_12 = multiply(X_12,n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(n1,X_12)),multiply(X_12,n1)) )],[refute_0_932,refute_0_933]) ).

cnf(refute_0_935,plain,
    X_12 = multiply(X_12,n1),
    inference(resolve,[$cnf( $equal(X_12,add(multiply(X_11,inverse(X_11)),multiply(n1,X_12))) )],[refute_0_683,refute_0_934]) ).

cnf(refute_0_936,plain,
    ( X_12 != multiply(X_12,n1)
    | multiply(X_12,n1) = X_12 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(X_12)),bind(Y0,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_937,plain,
    multiply(X_12,n1) = X_12,
    inference(resolve,[$cnf( $equal(X_12,multiply(X_12,n1)) )],[refute_0_935,refute_0_936]) ).

cnf(refute_0_938,plain,
    multiply(X_36,n1) = X_36,
    inference(subst,[],[refute_0_937:[bind(X_12,$fot(X_36))]]) ).

cnf(refute_0_939,plain,
    add(Y,multiply(X_36,n1)) = add(Y,multiply(X_36,n1)),
    introduced(tautology,[refl,[$fot(add(Y,multiply(X_36,n1)))]]) ).

cnf(refute_0_940,plain,
    ( multiply(X_36,n1) != X_36
    | add(Y,multiply(X_36,n1)) != add(Y,multiply(X_36,n1))
    | add(Y,multiply(X_36,n1)) = add(Y,X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(X_36,n1)),add(Y,multiply(X_36,n1))) ),[1,1],$fot(X_36)]]) ).

cnf(refute_0_941,plain,
    ( multiply(X_36,n1) != X_36
    | add(Y,multiply(X_36,n1)) = add(Y,X_36) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(X_36,n1)),add(Y,multiply(X_36,n1))) )],[refute_0_939,refute_0_940]) ).

cnf(refute_0_942,plain,
    add(Y,multiply(X_36,n1)) = add(Y,X_36),
    inference(resolve,[$cnf( $equal(multiply(X_36,n1),X_36) )],[refute_0_938,refute_0_941]) ).

cnf(refute_0_943,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),
    introduced(tautology,[refl,[$fot(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))))]]) ).

cnf(refute_0_944,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),add(Y,multiply(X_36,n1)))
    | add(Y,multiply(X_36,n1)) != add(Y,X_36)
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,multiply(X_36,n1)))) ),[1,1],$fot(add(Y,X_36))]]) ).

cnf(refute_0_945,plain,
    ( add(Y,multiply(X_36,n1)) != add(Y,X_36)
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,multiply(X_36,n1)))) )],[refute_0_943,refute_0_944]) ).

cnf(refute_0_946,plain,
    multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,X_36)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(X_36,n1)),add(Y,X_36)) )],[refute_0_942,refute_0_945]) ).

cnf(refute_0_947,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),add(Y,X_36))
    | multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(n1,add(X_36,X_36))
    | multiply(add(X_36,X_36),add(Y,X_36)) = multiply(n1,add(X_36,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(n1,add(X_36,X_36))) ),[0],$fot(multiply(add(X_36,X_36),add(Y,X_36)))]]) ).

cnf(refute_0_948,plain,
    ( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(n1,add(X_36,X_36))
    | multiply(add(X_36,X_36),add(Y,X_36)) = multiply(n1,add(X_36,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,X_36))) )],[refute_0_946,refute_0_947]) ).

cnf(refute_0_949,plain,
    multiply(add(X_36,X_36),add(Y,X_36)) = multiply(n1,add(X_36,X_36)),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(n1,add(X_36,X_36))) )],[refute_0_680,refute_0_948]) ).

cnf(refute_0_950,plain,
    multiply(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)) = multiply(X_50,n1),
    inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_49,multiply(X_50,n1)))),bind(Y,$fot(multiply(X_50,n1)))]]) ).

cnf(refute_0_951,plain,
    multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1))),
    inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_24,n1))),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).

cnf(refute_0_952,plain,
    multiply(X_24,multiply(X_24,n1)) = multiply(X_24,n1),
    inference(subst,[],[refute_0_69:[bind(X_15,$fot(X_24))]]) ).

cnf(refute_0_953,plain,
    ( multiply(X_24,multiply(X_24,n1)) != multiply(X_24,n1)
    | multiply(multiply(X_24,n1),add(X_23,X_24)) != add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1)))
    | multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_23,X_24)),add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1)))) ),[1,1],$fot(multiply(X_24,n1))]]) ).

cnf(refute_0_954,plain,
    ( multiply(multiply(X_24,n1),add(X_23,X_24)) != add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1)))
    | multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)) )],[refute_0_952,refute_0_953]) ).

cnf(refute_0_955,plain,
    multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,n1)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_23,X_24)),add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1)))) )],[refute_0_951,refute_0_954]) ).

cnf(refute_0_956,plain,
    multiply(multiply(X_50,n1),add(X_49,X_50)) = add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),
    inference(subst,[],[refute_0_955:[bind(X_23,$fot(X_49)),bind(X_24,$fot(X_50))]]) ).

cnf(refute_0_957,plain,
    ( multiply(multiply(X_50,n1),add(X_49,X_50)) != add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1))
    | add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)) = multiply(multiply(X_50,n1),add(X_49,X_50)) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(multiply(X_50,n1),add(X_49,X_50)))),bind(Y0,$fot(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1))))]]) ).

cnf(refute_0_958,plain,
    add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)) = multiply(multiply(X_50,n1),add(X_49,X_50)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_50,n1),add(X_49,X_50)),add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1))) )],[refute_0_956,refute_0_957]) ).

cnf(refute_0_959,plain,
    ( multiply(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)) != multiply(X_50,n1)
    | add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)) != multiply(multiply(X_50,n1),add(X_49,X_50))
    | multiply(multiply(multiply(X_50,n1),add(X_49,X_50)),multiply(X_50,n1)) = multiply(X_50,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)) ),[0,0],$fot(multiply(multiply(X_50,n1),add(X_49,X_50)))]]) ).

cnf(refute_0_960,plain,
    ( multiply(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)) != multiply(X_50,n1)
    | multiply(multiply(multiply(X_50,n1),add(X_49,X_50)),multiply(X_50,n1)) = multiply(X_50,n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),multiply(multiply(X_50,n1),add(X_49,X_50))) )],[refute_0_958,refute_0_959]) ).

cnf(refute_0_961,plain,
    multiply(multiply(multiply(X_50,n1),add(X_49,X_50)),multiply(X_50,n1)) = multiply(X_50,n1),
    inference(resolve,[$cnf( $equal(multiply(add(multiply(X_49,multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)),multiply(X_50,n1)) )],[refute_0_950,refute_0_960]) ).

cnf(refute_0_962,plain,
    multiply(multiply(multiply(multiply(X_12,n1),n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)) = multiply(multiply(X_12,n1),n1),
    inference(subst,[],[refute_0_961:[bind(X_49,$fot(multiply(X_11,inverse(X_11)))),bind(X_50,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_963,plain,
    ( multiply(multiply(multiply(multiply(X_12,n1),n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
    | add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) != X_12
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(X_12,n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)),multiply(multiply(X_12,n1),n1)) ),[0,0,1],$fot(X_12)]]) ).

cnf(refute_0_964,plain,
    ( multiply(multiply(multiply(multiply(X_12,n1),n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(X_12,n1),n1) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),X_12) )],[refute_0_582,refute_0_963]) ).

cnf(refute_0_965,plain,
    multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(X_12,n1),n1),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)),multiply(multiply(X_12,n1),n1)) )],[refute_0_962,refute_0_964]) ).

cnf(refute_0_966,plain,
    multiply(multiply(X_12,n1),n1) = multiply(n1,multiply(X_12,n1)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(multiply(X_12,n1)))]]) ).

cnf(refute_0_967,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)),
    introduced(tautology,[refl,[$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)))]]) ).

cnf(refute_0_968,plain,
    ( multiply(multiply(X_12,n1),n1) != multiply(n1,multiply(X_12,n1))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1))) ),[1,1],$fot(multiply(n1,multiply(X_12,n1)))]]) ).

cnf(refute_0_969,plain,
    ( multiply(multiply(X_12,n1),n1) != multiply(n1,multiply(X_12,n1))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1))) )],[refute_0_967,refute_0_968]) ).

cnf(refute_0_970,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),n1),multiply(n1,multiply(X_12,n1))) )],[refute_0_966,refute_0_969]) ).

cnf(refute_0_971,plain,
    multiply(multiply(multiply(X_12,n1),n1),X_12) = multiply(multiply(multiply(X_12,n1),n1),X_12),
    introduced(tautology,[refl,[$fot(multiply(multiply(multiply(X_12,n1),n1),X_12))]]) ).

cnf(refute_0_972,plain,
    ( multiply(multiply(X_12,n1),n1) != multiply(n1,multiply(X_12,n1))
    | multiply(multiply(multiply(X_12,n1),n1),X_12) != multiply(multiply(multiply(X_12,n1),n1),X_12)
    | multiply(multiply(multiply(X_12,n1),n1),X_12) = multiply(multiply(n1,multiply(X_12,n1)),X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(multiply(X_12,n1),n1),X_12)) ),[1,0],$fot(multiply(n1,multiply(X_12,n1)))]]) ).

cnf(refute_0_973,plain,
    ( multiply(multiply(X_12,n1),n1) != multiply(n1,multiply(X_12,n1))
    | multiply(multiply(multiply(X_12,n1),n1),X_12) = multiply(multiply(n1,multiply(X_12,n1)),X_12) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(multiply(X_12,n1),n1),X_12)) )],[refute_0_971,refute_0_972]) ).

cnf(refute_0_974,plain,
    multiply(multiply(multiply(X_12,n1),n1),X_12) = multiply(multiply(n1,multiply(X_12,n1)),X_12),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),n1),multiply(n1,multiply(X_12,n1))) )],[refute_0_966,refute_0_973]) ).

cnf(refute_0_975,plain,
    multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),
    introduced(tautology,[refl,[$fot(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)))]]) ).

cnf(refute_0_976,plain,
    ( multiply(multiply(multiply(X_12,n1),n1),X_12) != multiply(multiply(n1,multiply(X_12,n1)),X_12)
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1))
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1))) ),[1,0],$fot(multiply(multiply(n1,multiply(X_12,n1)),X_12))]]) ).

cnf(refute_0_977,plain,
    ( multiply(multiply(multiply(X_12,n1),n1),X_12) != multiply(multiply(n1,multiply(X_12,n1)),X_12)
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1))) )],[refute_0_975,refute_0_976]) ).

cnf(refute_0_978,plain,
    multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(n1,multiply(X_12,n1)),X_12)) )],[refute_0_974,refute_0_977]) ).

cnf(refute_0_979,plain,
    ( multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)))),bind(Y0,$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)))),bind(Z0,$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))))]]) ).

cnf(refute_0_980,plain,
    ( multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1))) )],[refute_0_978,refute_0_979]) ).

cnf(refute_0_981,plain,
    multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))) )],[refute_0_970,refute_0_980]) ).

cnf(refute_0_982,plain,
    ( multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
    | multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(multiply(X_12,n1),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(X_12,n1),n1)) ),[0],$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))))]]) ).

cnf(refute_0_983,plain,
    ( multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(multiply(X_12,n1),n1) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))) )],[refute_0_981,refute_0_982]) ).

cnf(refute_0_984,plain,
    ( multiply(multiply(X_12,n1),n1) != multiply(n1,multiply(X_12,n1))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(multiply(X_12,n1),n1)
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(n1,multiply(X_12,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)) ),[1],$fot(multiply(n1,multiply(X_12,n1)))]]) ).

cnf(refute_0_985,plain,
    ( multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(multiply(X_12,n1),n1)
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(n1,multiply(X_12,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),n1),multiply(n1,multiply(X_12,n1))) )],[refute_0_966,refute_0_984]) ).

cnf(refute_0_986,plain,
    ( multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(n1,multiply(X_12,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(multiply(X_12,n1),n1)) )],[refute_0_983,refute_0_985]) ).

cnf(refute_0_987,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(n1,multiply(X_12,n1)),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(multiply(X_12,n1),n1),X_12),multiply(multiply(X_12,n1),n1)),multiply(multiply(X_12,n1),n1)) )],[refute_0_965,refute_0_986]) ).

cnf(refute_0_988,plain,
    multiply(n1,X_15) = multiply(X_15,n1),
    inference(subst,[],[refute_0_636:[bind(X_12,$fot(X_15))]]) ).

cnf(refute_0_989,plain,
    ( multiply(n1,X_15) != multiply(X_15,n1)
    | multiply(X_15,n1) = multiply(n1,X_15) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,X_15))),bind(Y0,$fot(multiply(X_15,n1)))]]) ).

cnf(refute_0_990,plain,
    multiply(X_15,n1) = multiply(n1,X_15),
    inference(resolve,[$cnf( $equal(multiply(n1,X_15),multiply(X_15,n1)) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    ( multiply(X_15,multiply(X_15,n1)) != multiply(X_15,n1)
    | multiply(X_15,n1) != multiply(n1,X_15)
    | multiply(X_15,multiply(n1,X_15)) = multiply(X_15,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,multiply(X_15,n1)),multiply(X_15,n1)) ),[0,1],$fot(multiply(n1,X_15))]]) ).

cnf(refute_0_992,plain,
    ( multiply(X_15,multiply(X_15,n1)) != multiply(X_15,n1)
    | multiply(X_15,multiply(n1,X_15)) = multiply(X_15,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_15,n1),multiply(n1,X_15)) )],[refute_0_990,refute_0_991]) ).

cnf(refute_0_993,plain,
    multiply(X_15,multiply(n1,X_15)) = multiply(X_15,n1),
    inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_15,n1)),multiply(X_15,n1)) )],[refute_0_69,refute_0_992]) ).

cnf(refute_0_994,plain,
    multiply(X_12,multiply(n1,X_12)) = multiply(X_12,n1),
    inference(subst,[],[refute_0_993:[bind(X_15,$fot(X_12))]]) ).

cnf(refute_0_995,plain,
    ( multiply(X_12,multiply(n1,X_12)) != multiply(X_12,n1)
    | multiply(X_12,n1) != X_12
    | multiply(X_12,multiply(n1,X_12)) = X_12 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(X_12,multiply(n1,X_12)))),bind(Y0,$fot(multiply(X_12,n1))),bind(Z0,$fot(X_12))]]) ).

cnf(refute_0_996,plain,
    ( multiply(X_12,n1) != X_12
    | multiply(X_12,multiply(n1,X_12)) = X_12 ),
    inference(resolve,[$cnf( $equal(multiply(X_12,multiply(n1,X_12)),multiply(X_12,n1)) )],[refute_0_994,refute_0_995]) ).

cnf(refute_0_997,plain,
    multiply(X_12,multiply(n1,X_12)) = X_12,
    inference(resolve,[$cnf( $equal(multiply(X_12,n1),X_12) )],[refute_0_937,refute_0_996]) ).

cnf(refute_0_998,plain,
    multiply(n1,multiply(X_12,n1)) = multiply(n1,multiply(X_12,n1)),
    introduced(tautology,[refl,[$fot(multiply(n1,multiply(X_12,n1)))]]) ).

cnf(refute_0_999,plain,
    ( multiply(X_12,n1) != X_12
    | multiply(n1,multiply(X_12,n1)) != multiply(n1,multiply(X_12,n1))
    | multiply(n1,multiply(X_12,n1)) = multiply(n1,X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(X_12,n1)),multiply(n1,multiply(X_12,n1))) ),[1,1],$fot(X_12)]]) ).

cnf(refute_0_1000,plain,
    ( multiply(X_12,n1) != X_12
    | multiply(n1,multiply(X_12,n1)) = multiply(n1,X_12) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_12,n1)),multiply(n1,multiply(X_12,n1))) )],[refute_0_998,refute_0_999]) ).

cnf(refute_0_1001,plain,
    multiply(n1,multiply(X_12,n1)) = multiply(n1,X_12),
    inference(resolve,[$cnf( $equal(multiply(X_12,n1),X_12) )],[refute_0_937,refute_0_1000]) ).

cnf(refute_0_1002,plain,
    multiply(X_12,multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,multiply(X_12,n1))),
    introduced(tautology,[refl,[$fot(multiply(X_12,multiply(n1,multiply(X_12,n1))))]]) ).

cnf(refute_0_1003,plain,
    ( multiply(X_12,multiply(n1,multiply(X_12,n1))) != multiply(X_12,multiply(n1,multiply(X_12,n1)))
    | multiply(n1,multiply(X_12,n1)) != multiply(n1,X_12)
    | multiply(X_12,multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,multiply(n1,multiply(X_12,n1))),multiply(X_12,multiply(n1,multiply(X_12,n1)))) ),[1,1],$fot(multiply(n1,X_12))]]) ).

cnf(refute_0_1004,plain,
    ( multiply(n1,multiply(X_12,n1)) != multiply(n1,X_12)
    | multiply(X_12,multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,multiply(n1,multiply(X_12,n1))),multiply(X_12,multiply(n1,multiply(X_12,n1)))) )],[refute_0_1002,refute_0_1003]) ).

cnf(refute_0_1005,plain,
    multiply(X_12,multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,X_12)),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_12,n1)),multiply(n1,X_12)) )],[refute_0_1001,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    multiply(multiply(X_65,add(X_66,inverse(X_66))),multiply(inverse(X_66),X_65)) = multiply(inverse(X_66),X_65),
    inference(subst,[],[refute_0_10:[bind(X_22,$fot(X_65)),bind(X_23,$fot(X_66)),bind(X_24,$fot(inverse(X_66)))]]) ).

cnf(refute_0_1007,plain,
    add(X_66,inverse(X_66)) = n1,
    inference(subst,[],[additive_inverse:[bind(X,$fot(X_66))]]) ).

cnf(refute_0_1008,plain,
    ( multiply(multiply(X_65,add(X_66,inverse(X_66))),multiply(inverse(X_66),X_65)) != multiply(inverse(X_66),X_65)
    | add(X_66,inverse(X_66)) != n1
    | multiply(multiply(X_65,n1),multiply(inverse(X_66),X_65)) = multiply(inverse(X_66),X_65) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_65,add(X_66,inverse(X_66))),multiply(inverse(X_66),X_65)),multiply(inverse(X_66),X_65)) ),[0,0,1],$fot(n1)]]) ).

cnf(refute_0_1009,plain,
    ( multiply(multiply(X_65,add(X_66,inverse(X_66))),multiply(inverse(X_66),X_65)) != multiply(inverse(X_66),X_65)
    | multiply(multiply(X_65,n1),multiply(inverse(X_66),X_65)) = multiply(inverse(X_66),X_65) ),
    inference(resolve,[$cnf( $equal(add(X_66,inverse(X_66)),n1) )],[refute_0_1007,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    multiply(multiply(X_65,n1),multiply(inverse(X_66),X_65)) = multiply(inverse(X_66),X_65),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_65,add(X_66,inverse(X_66))),multiply(inverse(X_66),X_65)),multiply(inverse(X_66),X_65)) )],[refute_0_1006,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    multiply(multiply(X_65,n1),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)) = multiply(inverse(inverse(add(inverse(n1),X_65))),X_65),
    inference(subst,[],[refute_0_1010:[bind(X_66,$fot(inverse(add(inverse(n1),X_65))))]]) ).

cnf(refute_0_1012,plain,
    multiply(inverse(inverse(X_62)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) = multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))),
    inference(subst,[],[refute_0_156:[bind(X_60,$fot(inverse(inverse(X_62))))]]) ).

cnf(refute_0_1013,plain,
    pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99)))))),
    inference(subst,[],[refute_0_22:[bind(X,$fot(n1)),bind(Y,$fot(add(X_98,inverse(X_99)))),bind(Z,$fot(inverse(X_99)))]]) ).

cnf(refute_0_1014,plain,
    multiply(inverse(X_78),n1) = add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))),
    inference(subst,[],[refute_0_42:[bind(X_31,$fot(inverse(X_78)))]]) ).

cnf(refute_0_1015,plain,
    multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))) = add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))),
    inference(subst,[],[refute_0_774:[bind(X,$fot(X_78)),bind(X_24,$fot(inverse(add(X_30,inverse(X_78)))))]]) ).

cnf(refute_0_1016,plain,
    ( multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))) != add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78)))
    | add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))) = multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))))),bind(Y0,$fot(add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78)))))]]) ).

cnf(refute_0_1017,plain,
    add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))) = multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))),add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78)))) )],[refute_0_1015,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    ( multiply(inverse(X_78),n1) != add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78)))
    | add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))) != multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78)))))
    | multiply(inverse(X_78),n1) = multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_78),n1),multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78)))))) ),[0],$fot(add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))))]]) ).

cnf(refute_0_1019,plain,
    ( multiply(inverse(X_78),n1) != add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78)))
    | multiply(inverse(X_78),n1) = multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78))),multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78)))))) )],[refute_0_1017,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    multiply(inverse(X_78),n1) = multiply(inverse(X_78),add(n1,inverse(add(X_30,inverse(X_78))))),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_78),n1),add(inverse(X_78),multiply(inverse(add(X_30,inverse(X_78))),inverse(X_78)))) )],[refute_0_1014,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    multiply(inverse(X_99),n1) = multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))),
    inference(subst,[],[refute_0_1020:[bind(X_30,$fot(X_98)),bind(X_78,$fot(X_99))]]) ).

cnf(refute_0_1022,plain,
    ( multiply(inverse(X_99),n1) != multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99)))))
    | multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))) = multiply(inverse(X_99),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X_99),n1))),bind(Y0,$fot(multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99)))))))]]) ).

cnf(refute_0_1023,plain,
    multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))) = multiply(inverse(X_99),n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_99),n1),multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99)))))) )],[refute_0_1021,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    ( multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))) != multiply(inverse(X_99),n1)
    | pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) != add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))))
    | pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)),add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))))) ),[1,1],$fot(multiply(inverse(X_99),n1))]]) ).

cnf(refute_0_1025,plain,
    ( pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) != add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))))
    | pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))),multiply(inverse(X_99),n1)) )],[refute_0_1023,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)),add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),add(n1,inverse(add(X_98,inverse(X_99))))))) )],[refute_0_1013,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    multiply(n1,inverse(add(X_98,inverse(X_99)))) = inverse(add(X_98,inverse(X_99))),
    inference(subst,[],[refute_0_50:[bind(X,$fot(add(X_98,inverse(X_99))))]]) ).

cnf(refute_0_1028,plain,
    add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) = add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)),
    introduced(tautology,[refl,[$fot(add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)))]]) ).

cnf(refute_0_1029,plain,
    ( multiply(n1,inverse(add(X_98,inverse(X_99)))) != inverse(add(X_98,inverse(X_99)))
    | add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) != add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))
    | add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) = add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)),add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))) ),[1,0],$fot(inverse(add(X_98,inverse(X_99))))]]) ).

cnf(refute_0_1030,plain,
    ( multiply(n1,inverse(add(X_98,inverse(X_99)))) != inverse(add(X_98,inverse(X_99)))
    | add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) = add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)) ),
    inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)),add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))) )],[refute_0_1028,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) = add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(add(X_98,inverse(X_99)))),inverse(add(X_98,inverse(X_99)))) )],[refute_0_1027,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    ( add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)) != add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1))
    | pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) != add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))
    | pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)),add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))) ),[1],$fot(add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)))]]) ).

cnf(refute_0_1033,plain,
    ( pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) != add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))
    | pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)) ),
    inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1)),add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1))) )],[refute_0_1031,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)) = add(inverse(add(X_98,inverse(X_99))),multiply(inverse(X_99),n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,add(X_98,inverse(X_99)),inverse(X_99)),add(multiply(n1,inverse(add(X_98,inverse(X_99)))),multiply(inverse(X_99),n1))) )],[refute_0_1026,refute_0_1033]) ).

cnf(refute_0_1035,plain,
    pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = add(inverse(add(inverse(X_101),inverse(X_101))),multiply(inverse(X_101),n1)),
    inference(subst,[],[refute_0_1034:[bind(X_98,$fot(inverse(X_101))),bind(X_99,$fot(X_101))]]) ).

cnf(refute_0_1036,plain,
    multiply(inverse(X_101),n1) = add(inverse(X_101),inverse(X_101)),
    inference(subst,[],[refute_0_564:[bind(X_23,$fot(X_101))]]) ).

cnf(refute_0_1037,plain,
    ( multiply(inverse(X_101),n1) != add(inverse(X_101),inverse(X_101))
    | add(inverse(X_101),inverse(X_101)) = multiply(inverse(X_101),n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(inverse(X_101),n1))),bind(Y0,$fot(add(inverse(X_101),inverse(X_101))))]]) ).

cnf(refute_0_1038,plain,
    add(inverse(X_101),inverse(X_101)) = multiply(inverse(X_101),n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_101),n1),add(inverse(X_101),inverse(X_101))) )],[refute_0_1036,refute_0_1037]) ).

cnf(refute_0_1039,plain,
    ( add(inverse(X_101),inverse(X_101)) != multiply(inverse(X_101),n1)
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) != add(inverse(add(inverse(X_101),inverse(X_101))),multiply(inverse(X_101),n1))
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),add(inverse(add(inverse(X_101),inverse(X_101))),multiply(inverse(X_101),n1))) ),[1,0,0],$fot(multiply(inverse(X_101),n1))]]) ).

cnf(refute_0_1040,plain,
    ( pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) != add(inverse(add(inverse(X_101),inverse(X_101))),multiply(inverse(X_101),n1))
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_101),inverse(X_101)),multiply(inverse(X_101),n1)) )],[refute_0_1038,refute_0_1039]) ).

cnf(refute_0_1041,plain,
    pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),add(inverse(add(inverse(X_101),inverse(X_101))),multiply(inverse(X_101),n1))) )],[refute_0_1035,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),
    introduced(tautology,[refl,[$fot(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)))]]) ).

cnf(refute_0_1043,plain,
    ( add(inverse(X_101),inverse(X_101)) != multiply(inverse(X_101),n1)
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) != pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101))
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101))) ),[1,1],$fot(multiply(inverse(X_101),n1))]]) ).

cnf(refute_0_1044,plain,
    ( add(inverse(X_101),inverse(X_101)) != multiply(inverse(X_101),n1)
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101))) )],[refute_0_1042,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) = pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),
    inference(resolve,[$cnf( $equal(add(inverse(X_101),inverse(X_101)),multiply(inverse(X_101),n1)) )],[refute_0_1038,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    ( pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) != pixley(n1,multiply(inverse(X_101),n1),inverse(X_101))
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) ),[0],$fot(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)))]]) ).

cnf(refute_0_1047,plain,
    ( pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)) != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),pixley(n1,multiply(inverse(X_101),n1),inverse(X_101))) )],[refute_0_1045,refute_0_1046]) ).

cnf(refute_0_1048,plain,
    pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),
    inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(X_101),inverse(X_101)),inverse(X_101)),add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) )],[refute_0_1041,refute_0_1047]) ).

cnf(refute_0_1049,plain,
    pixley(n1,inverse(X_101),inverse(X_101)) = n1,
    inference(subst,[],[pixley2:[bind(X,$fot(n1)),bind(Y,$fot(inverse(X_101)))]]) ).

cnf(refute_0_1050,plain,
    multiply(n1,inverse(X_101)) = inverse(X_101),
    inference(subst,[],[refute_0_50:[bind(X,$fot(X_101))]]) ).

cnf(refute_0_1051,plain,
    multiply(inverse(X_101),n1) = multiply(n1,inverse(X_101)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(inverse(X_101)))]]) ).

cnf(refute_0_1052,plain,
    ( multiply(inverse(X_101),n1) != multiply(n1,inverse(X_101))
    | multiply(n1,inverse(X_101)) != inverse(X_101)
    | multiply(inverse(X_101),n1) = inverse(X_101) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(inverse(X_101),n1))),bind(Y0,$fot(multiply(n1,inverse(X_101)))),bind(Z0,$fot(inverse(X_101)))]]) ).

cnf(refute_0_1053,plain,
    ( multiply(n1,inverse(X_101)) != inverse(X_101)
    | multiply(inverse(X_101),n1) = inverse(X_101) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_101),n1),multiply(n1,inverse(X_101))) )],[refute_0_1051,refute_0_1052]) ).

cnf(refute_0_1054,plain,
    multiply(inverse(X_101),n1) = inverse(X_101),
    inference(resolve,[$cnf( $equal(multiply(n1,inverse(X_101)),inverse(X_101)) )],[refute_0_1050,refute_0_1053]) ).

cnf(refute_0_1055,plain,
    pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),
    introduced(tautology,[refl,[$fot(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)))]]) ).

cnf(refute_0_1056,plain,
    ( multiply(inverse(X_101),n1) != inverse(X_101)
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) != pixley(n1,multiply(inverse(X_101),n1),inverse(X_101))
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = pixley(n1,inverse(X_101),inverse(X_101)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),pixley(n1,multiply(inverse(X_101),n1),inverse(X_101))) ),[1,1],$fot(inverse(X_101))]]) ).

cnf(refute_0_1057,plain,
    ( multiply(inverse(X_101),n1) != inverse(X_101)
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = pixley(n1,inverse(X_101),inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),pixley(n1,multiply(inverse(X_101),n1),inverse(X_101))) )],[refute_0_1055,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = pixley(n1,inverse(X_101),inverse(X_101)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_101),n1),inverse(X_101)) )],[refute_0_1054,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    ( pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) != pixley(n1,inverse(X_101),inverse(X_101))
    | pixley(n1,inverse(X_101),inverse(X_101)) != n1
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = n1 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)))),bind(Y0,$fot(pixley(n1,inverse(X_101),inverse(X_101)))),bind(Z0,$fot(n1))]]) ).

cnf(refute_0_1060,plain,
    ( pixley(n1,inverse(X_101),inverse(X_101)) != n1
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = n1 ),
    inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),pixley(n1,inverse(X_101),inverse(X_101))) )],[refute_0_1058,refute_0_1059]) ).

cnf(refute_0_1061,plain,
    pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) = n1,
    inference(resolve,[$cnf( $equal(pixley(n1,inverse(X_101),inverse(X_101)),n1) )],[refute_0_1049,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    ( pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) != n1
    | n1 = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) ),[0],$fot(n1)]]) ).

cnf(refute_0_1063,plain,
    ( pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | n1 = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) ),
    inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),n1) )],[refute_0_1061,refute_0_1062]) ).

cnf(refute_0_1064,plain,
    add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)),
    introduced(tautology,[refl,[$fot(add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)))]]) ).

cnf(refute_0_1065,plain,
    ( multiply(inverse(X_101),n1) != inverse(X_101)
    | add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) != add(inverse(inverse(X_101)),multiply(inverse(X_101),n1))
    | add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),inverse(X_101)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)),add(inverse(inverse(X_101)),multiply(inverse(X_101),n1))) ),[1,1],$fot(inverse(X_101))]]) ).

cnf(refute_0_1066,plain,
    ( multiply(inverse(X_101),n1) != inverse(X_101)
    | add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)),add(inverse(inverse(X_101)),multiply(inverse(X_101),n1))) )],[refute_0_1064,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),inverse(X_101)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_101),n1),inverse(X_101)) )],[refute_0_1054,refute_0_1066]) ).

cnf(refute_0_1068,plain,
    inverse(multiply(inverse(X_101),n1)) = inverse(multiply(inverse(X_101),n1)),
    introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_101),n1)))]]) ).

cnf(refute_0_1069,plain,
    ( multiply(inverse(X_101),n1) != inverse(X_101)
    | inverse(multiply(inverse(X_101),n1)) != inverse(multiply(inverse(X_101),n1))
    | inverse(multiply(inverse(X_101),n1)) = inverse(inverse(X_101)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_101),n1)),inverse(multiply(inverse(X_101),n1))) ),[1,0],$fot(inverse(X_101))]]) ).

cnf(refute_0_1070,plain,
    ( multiply(inverse(X_101),n1) != inverse(X_101)
    | inverse(multiply(inverse(X_101),n1)) = inverse(inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_101),n1)),inverse(multiply(inverse(X_101),n1))) )],[refute_0_1068,refute_0_1069]) ).

cnf(refute_0_1071,plain,
    inverse(multiply(inverse(X_101),n1)) = inverse(inverse(X_101)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_101),n1),inverse(X_101)) )],[refute_0_1054,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),
    introduced(tautology,[refl,[$fot(add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)))]]) ).

cnf(refute_0_1073,plain,
    ( add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | inverse(multiply(inverse(X_101),n1)) != inverse(inverse(X_101))
    | add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) ),[1,0],$fot(inverse(inverse(X_101)))]]) ).

cnf(refute_0_1074,plain,
    ( inverse(multiply(inverse(X_101),n1)) != inverse(inverse(X_101))
    | add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) )],[refute_0_1072,refute_0_1073]) ).

cnf(refute_0_1075,plain,
    add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)),
    inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_101),n1)),inverse(inverse(X_101))) )],[refute_0_1071,refute_0_1074]) ).

cnf(refute_0_1076,plain,
    ( add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) != add(inverse(inverse(X_101)),multiply(inverse(X_101),n1))
    | add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) != add(inverse(inverse(X_101)),inverse(X_101))
    | add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),inverse(X_101)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)))),bind(Y0,$fot(add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)))),bind(Z0,$fot(add(inverse(inverse(X_101)),inverse(X_101))))]]) ).

cnf(refute_0_1077,plain,
    ( add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)) != add(inverse(inverse(X_101)),inverse(X_101))
    | add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),add(inverse(inverse(X_101)),multiply(inverse(X_101),n1))) )],[refute_0_1075,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) = add(inverse(inverse(X_101)),inverse(X_101)),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_101)),multiply(inverse(X_101),n1)),add(inverse(inverse(X_101)),inverse(X_101))) )],[refute_0_1067,refute_0_1077]) ).

cnf(refute_0_1079,plain,
    ( add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)) != add(inverse(inverse(X_101)),inverse(X_101))
    | n1 != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | n1 = add(inverse(inverse(X_101)),inverse(X_101)) ),
    introduced(tautology,[equality,[$cnf( $equal(n1,add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) ),[1],$fot(add(inverse(inverse(X_101)),inverse(X_101)))]]) ).

cnf(refute_0_1080,plain,
    ( n1 != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | n1 = add(inverse(inverse(X_101)),inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1)),add(inverse(inverse(X_101)),inverse(X_101))) )],[refute_0_1078,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    ( pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)) != add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))
    | n1 = add(inverse(inverse(X_101)),inverse(X_101)) ),
    inference(resolve,[$cnf( $equal(n1,add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) )],[refute_0_1063,refute_0_1080]) ).

cnf(refute_0_1082,plain,
    n1 = add(inverse(inverse(X_101)),inverse(X_101)),
    inference(resolve,[$cnf( $equal(pixley(n1,multiply(inverse(X_101),n1),inverse(X_101)),add(inverse(multiply(inverse(X_101),n1)),multiply(inverse(X_101),n1))) )],[refute_0_1048,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    n1 = add(inverse(inverse(X_62)),inverse(X_62)),
    inference(subst,[],[refute_0_1082:[bind(X_101,$fot(X_62))]]) ).

cnf(refute_0_1084,plain,
    ( n1 != add(inverse(inverse(X_62)),inverse(X_62))
    | add(inverse(inverse(X_62)),inverse(X_62)) = n1 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(inverse(X_62)),inverse(X_62))))]]) ).

cnf(refute_0_1085,plain,
    add(inverse(inverse(X_62)),inverse(X_62)) = n1,
    inference(resolve,[$cnf( $equal(n1,add(inverse(inverse(X_62)),inverse(X_62))) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    ( multiply(inverse(inverse(X_62)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) != multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))
    | add(inverse(inverse(X_62)),inverse(X_62)) != n1
    | multiply(inverse(inverse(X_62)),multiply(X_62,n1)) = multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_62)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) ),[0,1,1],$fot(n1)]]) ).

cnf(refute_0_1087,plain,
    ( multiply(inverse(inverse(X_62)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) != multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))
    | multiply(inverse(inverse(X_62)),multiply(X_62,n1)) = multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_62)),inverse(X_62)),n1) )],[refute_0_1085,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    multiply(inverse(inverse(X_62)),multiply(X_62,n1)) = multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_62)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) )],[refute_0_1012,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) = multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))),
    introduced(tautology,[refl,[$fot(multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))))]]) ).

cnf(refute_0_1090,plain,
    ( multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) != multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))
    | add(inverse(inverse(X_62)),inverse(X_62)) != n1
    | multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) = multiply(X_62,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_1091,plain,
    ( add(inverse(inverse(X_62)),inverse(X_62)) != n1
    | multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) = multiply(X_62,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) )],[refute_0_1089,refute_0_1090]) ).

cnf(refute_0_1092,plain,
    multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) = multiply(X_62,n1),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_62)),inverse(X_62)),n1) )],[refute_0_1085,refute_0_1091]) ).

cnf(refute_0_1093,plain,
    ( multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))) != multiply(X_62,n1)
    | multiply(inverse(inverse(X_62)),multiply(X_62,n1)) != multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))
    | multiply(inverse(inverse(X_62)),multiply(X_62,n1)) = multiply(X_62,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_62)),multiply(X_62,n1)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) ),[1],$fot(multiply(X_62,n1))]]) ).

cnf(refute_0_1094,plain,
    ( multiply(inverse(inverse(X_62)),multiply(X_62,n1)) != multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))
    | multiply(inverse(inverse(X_62)),multiply(X_62,n1)) = multiply(X_62,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62))),multiply(X_62,n1)) )],[refute_0_1092,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    multiply(inverse(inverse(X_62)),multiply(X_62,n1)) = multiply(X_62,n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_62)),multiply(X_62,n1)),multiply(X_62,add(inverse(inverse(X_62)),inverse(X_62)))) )],[refute_0_1088,refute_0_1094]) ).

cnf(refute_0_1096,plain,
    multiply(inverse(inverse(X_146)),multiply(X_146,n1)) = multiply(X_146,n1),
    inference(subst,[],[refute_0_1095:[bind(X_62,$fot(X_146))]]) ).

cnf(refute_0_1097,plain,
    multiply(n1,X_146) = multiply(X_146,n1),
    inference(subst,[],[refute_0_636:[bind(X_12,$fot(X_146))]]) ).

cnf(refute_0_1098,plain,
    ( multiply(n1,X_146) != multiply(X_146,n1)
    | multiply(X_146,n1) = multiply(n1,X_146) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,X_146))),bind(Y0,$fot(multiply(X_146,n1)))]]) ).

cnf(refute_0_1099,plain,
    multiply(X_146,n1) = multiply(n1,X_146),
    inference(resolve,[$cnf( $equal(multiply(n1,X_146),multiply(X_146,n1)) )],[refute_0_1097,refute_0_1098]) ).

cnf(refute_0_1100,plain,
    ( multiply(X_146,n1) != multiply(n1,X_146)
    | multiply(inverse(inverse(X_146)),multiply(X_146,n1)) != multiply(X_146,n1)
    | multiply(inverse(inverse(X_146)),multiply(n1,X_146)) = multiply(X_146,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_146)),multiply(X_146,n1)),multiply(X_146,n1)) ),[0,1],$fot(multiply(n1,X_146))]]) ).

cnf(refute_0_1101,plain,
    ( multiply(inverse(inverse(X_146)),multiply(X_146,n1)) != multiply(X_146,n1)
    | multiply(inverse(inverse(X_146)),multiply(n1,X_146)) = multiply(X_146,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_146,n1),multiply(n1,X_146)) )],[refute_0_1099,refute_0_1100]) ).

cnf(refute_0_1102,plain,
    multiply(inverse(inverse(X_146)),multiply(n1,X_146)) = multiply(X_146,n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_146)),multiply(X_146,n1)),multiply(X_146,n1)) )],[refute_0_1096,refute_0_1101]) ).

cnf(refute_0_1103,plain,
    multiply(inverse(inverse(add(inverse(n1),Z))),multiply(n1,add(inverse(n1),Z))) = multiply(add(inverse(n1),Z),n1),
    inference(subst,[],[refute_0_1102:[bind(X_146,$fot(add(inverse(n1),Z)))]]) ).

cnf(refute_0_1104,plain,
    ( multiply(inverse(inverse(add(inverse(n1),Z))),multiply(n1,add(inverse(n1),Z))) != multiply(add(inverse(n1),Z),n1)
    | multiply(n1,add(inverse(n1),Z)) != Z
    | multiply(inverse(inverse(add(inverse(n1),Z))),Z) = multiply(add(inverse(n1),Z),n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(add(inverse(n1),Z))),multiply(n1,add(inverse(n1),Z))),multiply(add(inverse(n1),Z),n1)) ),[0,1],$fot(Z)]]) ).

cnf(refute_0_1105,plain,
    ( multiply(inverse(inverse(add(inverse(n1),Z))),multiply(n1,add(inverse(n1),Z))) != multiply(add(inverse(n1),Z),n1)
    | multiply(inverse(inverse(add(inverse(n1),Z))),Z) = multiply(add(inverse(n1),Z),n1) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),Z) )],[refute_0_595,refute_0_1104]) ).

cnf(refute_0_1106,plain,
    multiply(inverse(inverse(add(inverse(n1),Z))),Z) = multiply(add(inverse(n1),Z),n1),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(add(inverse(n1),Z))),multiply(n1,add(inverse(n1),Z))),multiply(add(inverse(n1),Z),n1)) )],[refute_0_1103,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    multiply(add(inverse(n1),Z),n1) = multiply(n1,add(inverse(n1),Z)),
    inference(subst,[],[refute_0_638:[bind(X_12,$fot(add(inverse(n1),Z)))]]) ).

cnf(refute_0_1108,plain,
    ( multiply(add(inverse(n1),Z),n1) != multiply(n1,add(inverse(n1),Z))
    | multiply(n1,add(inverse(n1),Z)) != Z
    | multiply(add(inverse(n1),Z),n1) = Z ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(add(inverse(n1),Z),n1))),bind(Y0,$fot(multiply(n1,add(inverse(n1),Z)))),bind(Z0,$fot(Z))]]) ).

cnf(refute_0_1109,plain,
    ( multiply(n1,add(inverse(n1),Z)) != Z
    | multiply(add(inverse(n1),Z),n1) = Z ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),multiply(n1,add(inverse(n1),Z))) )],[refute_0_1107,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    multiply(add(inverse(n1),Z),n1) = Z,
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),Z) )],[refute_0_595,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    ( multiply(add(inverse(n1),Z),n1) != Z
    | multiply(inverse(inverse(add(inverse(n1),Z))),Z) != multiply(add(inverse(n1),Z),n1)
    | multiply(inverse(inverse(add(inverse(n1),Z))),Z) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(add(inverse(n1),Z))),Z),multiply(add(inverse(n1),Z),n1)) ),[1],$fot(Z)]]) ).

cnf(refute_0_1112,plain,
    ( multiply(inverse(inverse(add(inverse(n1),Z))),Z) != multiply(add(inverse(n1),Z),n1)
    | multiply(inverse(inverse(add(inverse(n1),Z))),Z) = Z ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),Z),n1),Z) )],[refute_0_1110,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    multiply(inverse(inverse(add(inverse(n1),Z))),Z) = Z,
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(add(inverse(n1),Z))),Z),multiply(add(inverse(n1),Z),n1)) )],[refute_0_1106,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    multiply(inverse(inverse(add(inverse(n1),X_65))),X_65) = X_65,
    inference(subst,[],[refute_0_1113:[bind(Z,$fot(X_65))]]) ).

cnf(refute_0_1115,plain,
    ( multiply(multiply(X_65,n1),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)) != multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)
    | multiply(inverse(inverse(add(inverse(n1),X_65))),X_65) != X_65
    | multiply(multiply(X_65,n1),X_65) = multiply(inverse(inverse(add(inverse(n1),X_65))),X_65) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_65,n1),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)) ),[0,1],$fot(X_65)]]) ).

cnf(refute_0_1116,plain,
    ( multiply(multiply(X_65,n1),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)) != multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)
    | multiply(multiply(X_65,n1),X_65) = multiply(inverse(inverse(add(inverse(n1),X_65))),X_65) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(add(inverse(n1),X_65))),X_65),X_65) )],[refute_0_1114,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    multiply(multiply(X_65,n1),X_65) = multiply(inverse(inverse(add(inverse(n1),X_65))),X_65),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_65,n1),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)) )],[refute_0_1011,refute_0_1116]) ).

cnf(refute_0_1118,plain,
    ( multiply(multiply(X_65,n1),X_65) != multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)
    | multiply(inverse(inverse(add(inverse(n1),X_65))),X_65) != X_65
    | multiply(multiply(X_65,n1),X_65) = X_65 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_65,n1),X_65),X_65) ),[0],$fot(multiply(inverse(inverse(add(inverse(n1),X_65))),X_65))]]) ).

cnf(refute_0_1119,plain,
    ( multiply(multiply(X_65,n1),X_65) != multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)
    | multiply(multiply(X_65,n1),X_65) = X_65 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(add(inverse(n1),X_65))),X_65),X_65) )],[refute_0_1114,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    multiply(multiply(X_65,n1),X_65) = X_65,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_65,n1),X_65),multiply(inverse(inverse(add(inverse(n1),X_65))),X_65)) )],[refute_0_1117,refute_0_1119]) ).

cnf(refute_0_1121,plain,
    multiply(multiply(X_151,n1),X_151) = X_151,
    inference(subst,[],[refute_0_1120:[bind(X_65,$fot(X_151))]]) ).

cnf(refute_0_1122,plain,
    multiply(n1,X_151) = multiply(X_151,n1),
    inference(subst,[],[refute_0_636:[bind(X_12,$fot(X_151))]]) ).

cnf(refute_0_1123,plain,
    ( multiply(n1,X_151) != multiply(X_151,n1)
    | multiply(X_151,n1) = multiply(n1,X_151) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(n1,X_151))),bind(Y0,$fot(multiply(X_151,n1)))]]) ).

cnf(refute_0_1124,plain,
    multiply(X_151,n1) = multiply(n1,X_151),
    inference(resolve,[$cnf( $equal(multiply(n1,X_151),multiply(X_151,n1)) )],[refute_0_1122,refute_0_1123]) ).

cnf(refute_0_1125,plain,
    ( multiply(X_151,n1) != multiply(n1,X_151)
    | multiply(multiply(X_151,n1),X_151) != X_151
    | multiply(multiply(n1,X_151),X_151) = X_151 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_151,n1),X_151),X_151) ),[0,0],$fot(multiply(n1,X_151))]]) ).

cnf(refute_0_1126,plain,
    ( multiply(multiply(X_151,n1),X_151) != X_151
    | multiply(multiply(n1,X_151),X_151) = X_151 ),
    inference(resolve,[$cnf( $equal(multiply(X_151,n1),multiply(n1,X_151)) )],[refute_0_1124,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    multiply(multiply(n1,X_151),X_151) = X_151,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_151,n1),X_151),X_151) )],[refute_0_1121,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    multiply(multiply(n1,X_12),X_12) = X_12,
    inference(subst,[],[refute_0_1127:[bind(X_151,$fot(X_12))]]) ).

cnf(refute_0_1129,plain,
    multiply(multiply(n1,multiply(X_12,n1)),X_12) = multiply(multiply(n1,multiply(X_12,n1)),X_12),
    introduced(tautology,[refl,[$fot(multiply(multiply(n1,multiply(X_12,n1)),X_12))]]) ).

cnf(refute_0_1130,plain,
    ( multiply(multiply(n1,multiply(X_12,n1)),X_12) != multiply(multiply(n1,multiply(X_12,n1)),X_12)
    | multiply(n1,multiply(X_12,n1)) != multiply(n1,X_12)
    | multiply(multiply(n1,multiply(X_12,n1)),X_12) = multiply(multiply(n1,X_12),X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(n1,multiply(X_12,n1)),X_12)) ),[1,0],$fot(multiply(n1,X_12))]]) ).

cnf(refute_0_1131,plain,
    ( multiply(n1,multiply(X_12,n1)) != multiply(n1,X_12)
    | multiply(multiply(n1,multiply(X_12,n1)),X_12) = multiply(multiply(n1,X_12),X_12) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(n1,multiply(X_12,n1)),X_12)) )],[refute_0_1129,refute_0_1130]) ).

cnf(refute_0_1132,plain,
    multiply(multiply(n1,multiply(X_12,n1)),X_12) = multiply(multiply(n1,X_12),X_12),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_12,n1)),multiply(n1,X_12)) )],[refute_0_1001,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    ( multiply(multiply(n1,X_12),X_12) != X_12
    | multiply(multiply(n1,multiply(X_12,n1)),X_12) != multiply(multiply(n1,X_12),X_12)
    | multiply(multiply(n1,multiply(X_12,n1)),X_12) = X_12 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(n1,multiply(X_12,n1)),X_12))),bind(Y0,$fot(multiply(multiply(n1,X_12),X_12))),bind(Z0,$fot(X_12))]]) ).

cnf(refute_0_1134,plain,
    ( multiply(multiply(n1,X_12),X_12) != X_12
    | multiply(multiply(n1,multiply(X_12,n1)),X_12) = X_12 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(multiply(n1,X_12),X_12)) )],[refute_0_1132,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    multiply(multiply(n1,multiply(X_12,n1)),X_12) = X_12,
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,X_12),X_12),X_12) )],[refute_0_1128,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),
    introduced(tautology,[refl,[$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))))]]) ).

cnf(refute_0_1137,plain,
    ( multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))
    | multiply(multiply(n1,multiply(X_12,n1)),X_12) != X_12
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,multiply(X_12,n1))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))) ),[1,0],$fot(X_12)]]) ).

cnf(refute_0_1138,plain,
    ( multiply(multiply(n1,multiply(X_12,n1)),X_12) != X_12
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,multiply(X_12,n1))) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1)))) )],[refute_0_1136,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,multiply(X_12,n1))),
    inference(resolve,[$cnf( $equal(multiply(multiply(n1,multiply(X_12,n1)),X_12),X_12) )],[refute_0_1135,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    ( multiply(X_12,multiply(n1,multiply(X_12,n1))) != multiply(X_12,multiply(n1,X_12))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(X_12,multiply(n1,multiply(X_12,n1)))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,X_12)) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))))),bind(Y0,$fot(multiply(X_12,multiply(n1,multiply(X_12,n1))))),bind(Z0,$fot(multiply(X_12,multiply(n1,X_12))))]]) ).

cnf(refute_0_1141,plain,
    ( multiply(X_12,multiply(n1,multiply(X_12,n1))) != multiply(X_12,multiply(n1,X_12))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,X_12)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(X_12,multiply(n1,multiply(X_12,n1)))) )],[refute_0_1139,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = multiply(X_12,multiply(n1,X_12)),
    inference(resolve,[$cnf( $equal(multiply(X_12,multiply(n1,multiply(X_12,n1))),multiply(X_12,multiply(n1,X_12))) )],[refute_0_1005,refute_0_1141]) ).

cnf(refute_0_1143,plain,
    ( multiply(X_12,multiply(n1,X_12)) != X_12
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(X_12,multiply(n1,X_12))
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = X_12 ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))))),bind(Y0,$fot(multiply(X_12,multiply(n1,X_12)))),bind(Z0,$fot(X_12))]]) ).

cnf(refute_0_1144,plain,
    ( multiply(X_12,multiply(n1,X_12)) != X_12
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = X_12 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(X_12,multiply(n1,X_12))) )],[refute_0_1142,refute_0_1143]) ).

cnf(refute_0_1145,plain,
    multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) = X_12,
    inference(resolve,[$cnf( $equal(multiply(X_12,multiply(n1,X_12)),X_12) )],[refute_0_997,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    ( multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != X_12
    | multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(n1,multiply(X_12,n1))
    | X_12 = multiply(n1,multiply(X_12,n1)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(n1,multiply(X_12,n1))) ),[0],$fot(X_12)]]) ).

cnf(refute_0_1147,plain,
    ( multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(n1,multiply(X_12,n1))
    | X_12 = multiply(n1,multiply(X_12,n1)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),X_12) )],[refute_0_1145,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    ( X_12 != multiply(n1,multiply(X_12,n1))
    | multiply(n1,multiply(X_12,n1)) != multiply(n1,X_12)
    | X_12 = multiply(n1,X_12) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_12,multiply(n1,X_12)) ),[0],$fot(multiply(n1,multiply(X_12,n1)))]]) ).

cnf(refute_0_1149,plain,
    ( X_12 != multiply(n1,multiply(X_12,n1))
    | X_12 = multiply(n1,X_12) ),
    inference(resolve,[$cnf( $equal(multiply(n1,multiply(X_12,n1)),multiply(n1,X_12)) )],[refute_0_1001,refute_0_1148]) ).

cnf(refute_0_1150,plain,
    ( multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))) != multiply(n1,multiply(X_12,n1))
    | X_12 = multiply(n1,X_12) ),
    inference(resolve,[$cnf( $equal(X_12,multiply(n1,multiply(X_12,n1))) )],[refute_0_1147,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    X_12 = multiply(n1,X_12),
    inference(resolve,[$cnf( $equal(multiply(multiply(multiply(n1,multiply(X_12,n1)),X_12),multiply(n1,multiply(X_12,n1))),multiply(n1,multiply(X_12,n1))) )],[refute_0_987,refute_0_1150]) ).

cnf(refute_0_1152,plain,
    ( X_12 != multiply(n1,X_12)
    | multiply(n1,X_12) = X_12 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(X_12)),bind(Y0,$fot(multiply(n1,X_12)))]]) ).

cnf(refute_0_1153,plain,
    multiply(n1,X_12) = X_12,
    inference(resolve,[$cnf( $equal(X_12,multiply(n1,X_12)) )],[refute_0_1151,refute_0_1152]) ).

cnf(refute_0_1154,plain,
    multiply(n1,add(X_36,X_36)) = add(X_36,X_36),
    inference(subst,[],[refute_0_1153:[bind(X_12,$fot(add(X_36,X_36)))]]) ).

cnf(refute_0_1155,plain,
    ( multiply(add(X_36,X_36),add(Y,X_36)) != multiply(n1,add(X_36,X_36))
    | multiply(n1,add(X_36,X_36)) != add(X_36,X_36)
    | multiply(add(X_36,X_36),add(Y,X_36)) = add(X_36,X_36) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_36,X_36),add(Y,X_36)),add(X_36,X_36)) ),[0],$fot(multiply(n1,add(X_36,X_36)))]]) ).

cnf(refute_0_1156,plain,
    ( multiply(add(X_36,X_36),add(Y,X_36)) != multiply(n1,add(X_36,X_36))
    | multiply(add(X_36,X_36),add(Y,X_36)) = add(X_36,X_36) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(X_36,X_36)),add(X_36,X_36)) )],[refute_0_1154,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    multiply(add(X_36,X_36),add(Y,X_36)) = add(X_36,X_36),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,X_36)),multiply(n1,add(X_36,X_36))) )],[refute_0_949,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107))),
    inference(subst,[],[refute_0_37:[bind(X_22,$fot(add(inverse(n1),X_107))),bind(X_24,$fot(n1))]]) ).

cnf(refute_0_1159,plain,
    ( multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) != add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107)))
    | multiply(n1,add(inverse(n1),X_107)) != X_107
    | multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = add(add(inverse(n1),X_107),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)),add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107)))) ),[1,1],$fot(X_107)]]) ).

cnf(refute_0_1160,plain,
    ( multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) != add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107)))
    | multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = add(add(inverse(n1),X_107),X_107) ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_107)),X_107) )],[refute_0_596,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = add(add(inverse(n1),X_107),X_107),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)),add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107)))) )],[refute_0_1158,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    multiply(X_22,add(X,n1)) = multiply(X_22,add(X,n1)),
    introduced(tautology,[refl,[$fot(multiply(X_22,add(X,n1)))]]) ).

cnf(refute_0_1163,plain,
    ( multiply(X_22,add(X,n1)) != multiply(X_22,add(X,n1))
    | add(X,n1) != n1
    | multiply(X_22,add(X,n1)) = multiply(X_22,n1) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,add(X,n1)),multiply(X_22,add(X,n1))) ),[1,1],$fot(n1)]]) ).

cnf(refute_0_1164,plain,
    ( add(X,n1) != n1
    | multiply(X_22,add(X,n1)) = multiply(X_22,n1) ),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),multiply(X_22,add(X,n1))) )],[refute_0_1162,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    multiply(X_22,add(X,n1)) = multiply(X_22,n1),
    inference(resolve,[$cnf( $equal(add(X,n1),n1) )],[refute_0_557,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    ( multiply(X_22,add(X,n1)) != multiply(X_22,n1)
    | multiply(X_22,add(X,n1)) != add(X_22,multiply(n1,X_22))
    | multiply(X_22,n1) = add(X_22,multiply(n1,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,add(X,n1)),add(X_22,multiply(n1,X_22))) ),[0],$fot(multiply(X_22,n1))]]) ).

cnf(refute_0_1167,plain,
    ( multiply(X_22,add(X,n1)) != add(X_22,multiply(n1,X_22))
    | multiply(X_22,n1) = add(X_22,multiply(n1,X_22)) ),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),multiply(X_22,n1)) )],[refute_0_1165,refute_0_1166]) ).

cnf(refute_0_1168,plain,
    multiply(X_22,n1) = add(X_22,multiply(n1,X_22)),
    inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(X_22,multiply(n1,X_22))) )],[refute_0_180,refute_0_1167]) ).

cnf(refute_0_1169,plain,
    ( multiply(X_22,n1) != add(X_22,multiply(n1,X_22))
    | add(X_22,multiply(n1,X_22)) = multiply(X_22,n1) ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(multiply(X_22,n1))),bind(Y0,$fot(add(X_22,multiply(n1,X_22))))]]) ).

cnf(refute_0_1170,plain,
    add(X_22,multiply(n1,X_22)) = multiply(X_22,n1),
    inference(resolve,[$cnf( $equal(multiply(X_22,n1),add(X_22,multiply(n1,X_22))) )],[refute_0_1168,refute_0_1169]) ).

cnf(refute_0_1171,plain,
    add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107))) = multiply(add(inverse(n1),X_107),n1),
    inference(subst,[],[refute_0_1170:[bind(X_22,$fot(add(inverse(n1),X_107)))]]) ).

cnf(refute_0_1172,plain,
    ( multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) != add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107)))
    | add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107))) != multiply(add(inverse(n1),X_107),n1)
    | multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = multiply(add(inverse(n1),X_107),n1) ),
    inference(subst,[],[refute_0_126:[bind(X0,$fot(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)))),bind(Y0,$fot(add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107))))),bind(Z0,$fot(multiply(add(inverse(n1),X_107),n1)))]]) ).

cnf(refute_0_1173,plain,
    ( add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107))) != multiply(add(inverse(n1),X_107),n1)
    | multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = multiply(add(inverse(n1),X_107),n1) ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)),add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107)))) )],[refute_0_1158,refute_0_1172]) ).

cnf(refute_0_1174,plain,
    multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) = multiply(add(inverse(n1),X_107),n1),
    inference(resolve,[$cnf( $equal(add(add(inverse(n1),X_107),multiply(n1,add(inverse(n1),X_107))),multiply(add(inverse(n1),X_107),n1)) )],[refute_0_1171,refute_0_1173]) ).

cnf(refute_0_1175,plain,
    ( multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) != multiply(add(inverse(n1),X_107),n1)
    | multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) != add(add(inverse(n1),X_107),X_107)
    | multiply(add(inverse(n1),X_107),n1) = add(add(inverse(n1),X_107),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)),add(add(inverse(n1),X_107),X_107)) ),[0],$fot(multiply(add(inverse(n1),X_107),n1))]]) ).

cnf(refute_0_1176,plain,
    ( multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)) != add(add(inverse(n1),X_107),X_107)
    | multiply(add(inverse(n1),X_107),n1) = add(add(inverse(n1),X_107),X_107) ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)),multiply(add(inverse(n1),X_107),n1)) )],[refute_0_1174,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    multiply(add(inverse(n1),X_107),n1) = add(add(inverse(n1),X_107),X_107),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),add(add(X,add(inverse(n1),X_107)),n1)),add(add(inverse(n1),X_107),X_107)) )],[refute_0_1161,refute_0_1176]) ).

cnf(refute_0_1178,plain,
    ( multiply(add(inverse(n1),X_107),n1) != X_107
    | multiply(add(inverse(n1),X_107),n1) != add(add(inverse(n1),X_107),X_107)
    | X_107 = add(add(inverse(n1),X_107),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),X_107),n1),add(add(inverse(n1),X_107),X_107)) ),[0],$fot(X_107)]]) ).

cnf(refute_0_1179,plain,
    ( multiply(add(inverse(n1),X_107),n1) != add(add(inverse(n1),X_107),X_107)
    | X_107 = add(add(inverse(n1),X_107),X_107) ),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),n1),X_107) )],[refute_0_642,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    X_107 = add(add(inverse(n1),X_107),X_107),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),X_107),n1),add(add(inverse(n1),X_107),X_107)) )],[refute_0_1177,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    multiply(n1,add(inverse(n1),Z)) = add(inverse(n1),Z),
    inference(subst,[],[refute_0_1153:[bind(X_12,$fot(add(inverse(n1),Z)))]]) ).

cnf(refute_0_1182,plain,
    ( multiply(n1,add(inverse(n1),Z)) != Z
    | multiply(n1,add(inverse(n1),Z)) != add(inverse(n1),Z)
    | add(inverse(n1),Z) = Z ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),Z) ),[0],$fot(add(inverse(n1),Z))]]) ).

cnf(refute_0_1183,plain,
    ( multiply(n1,add(inverse(n1),Z)) != Z
    | add(inverse(n1),Z) = Z ),
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),add(inverse(n1),Z)) )],[refute_0_1181,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    add(inverse(n1),Z) = Z,
    inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),Z)),Z) )],[refute_0_595,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    add(inverse(n1),X_107) = X_107,
    inference(subst,[],[refute_0_1184:[bind(Z,$fot(X_107))]]) ).

cnf(refute_0_1186,plain,
    add(add(inverse(n1),X_107),X_107) = add(add(inverse(n1),X_107),X_107),
    introduced(tautology,[refl,[$fot(add(add(inverse(n1),X_107),X_107))]]) ).

cnf(refute_0_1187,plain,
    ( add(add(inverse(n1),X_107),X_107) != add(add(inverse(n1),X_107),X_107)
    | add(inverse(n1),X_107) != X_107
    | add(add(inverse(n1),X_107),X_107) = add(X_107,X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(n1),X_107),X_107),add(add(inverse(n1),X_107),X_107)) ),[1,0],$fot(X_107)]]) ).

cnf(refute_0_1188,plain,
    ( add(inverse(n1),X_107) != X_107
    | add(add(inverse(n1),X_107),X_107) = add(X_107,X_107) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(n1),X_107),X_107),add(add(inverse(n1),X_107),X_107)) )],[refute_0_1186,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    add(add(inverse(n1),X_107),X_107) = add(X_107,X_107),
    inference(resolve,[$cnf( $equal(add(inverse(n1),X_107),X_107) )],[refute_0_1185,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    ( X_107 != add(add(inverse(n1),X_107),X_107)
    | add(add(inverse(n1),X_107),X_107) != add(X_107,X_107)
    | X_107 = add(X_107,X_107) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_107,add(X_107,X_107)) ),[0],$fot(add(add(inverse(n1),X_107),X_107))]]) ).

cnf(refute_0_1191,plain,
    ( X_107 != add(add(inverse(n1),X_107),X_107)
    | X_107 = add(X_107,X_107) ),
    inference(resolve,[$cnf( $equal(add(add(inverse(n1),X_107),X_107),add(X_107,X_107)) )],[refute_0_1189,refute_0_1190]) ).

cnf(refute_0_1192,plain,
    X_107 = add(X_107,X_107),
    inference(resolve,[$cnf( $equal(X_107,add(add(inverse(n1),X_107),X_107)) )],[refute_0_1180,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    ( X_107 != add(X_107,X_107)
    | add(X_107,X_107) = X_107 ),
    inference(subst,[],[refute_0_5:[bind(X0,$fot(X_107)),bind(Y0,$fot(add(X_107,X_107)))]]) ).

cnf(refute_0_1194,plain,
    add(X_107,X_107) = X_107,
    inference(resolve,[$cnf( $equal(X_107,add(X_107,X_107)) )],[refute_0_1192,refute_0_1193]) ).

cnf(refute_0_1195,plain,
    add(X_36,X_36) = X_36,
    inference(subst,[],[refute_0_1194:[bind(X_107,$fot(X_36))]]) ).

cnf(refute_0_1196,plain,
    multiply(add(X_36,X_36),add(Y,X_36)) = multiply(add(X_36,X_36),add(Y,X_36)),
    introduced(tautology,[refl,[$fot(multiply(add(X_36,X_36),add(Y,X_36)))]]) ).

cnf(refute_0_1197,plain,
    ( multiply(add(X_36,X_36),add(Y,X_36)) != multiply(add(X_36,X_36),add(Y,X_36))
    | add(X_36,X_36) != X_36
    | multiply(add(X_36,X_36),add(Y,X_36)) = multiply(X_36,add(Y,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,X_36)),multiply(add(X_36,X_36),add(Y,X_36))) ),[1,0],$fot(X_36)]]) ).

cnf(refute_0_1198,plain,
    ( add(X_36,X_36) != X_36
    | multiply(add(X_36,X_36),add(Y,X_36)) = multiply(X_36,add(Y,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,X_36)),multiply(add(X_36,X_36),add(Y,X_36))) )],[refute_0_1196,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    multiply(add(X_36,X_36),add(Y,X_36)) = multiply(X_36,add(Y,X_36)),
    inference(resolve,[$cnf( $equal(add(X_36,X_36),X_36) )],[refute_0_1195,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    ( multiply(add(X_36,X_36),add(Y,X_36)) != multiply(X_36,add(Y,X_36))
    | multiply(add(X_36,X_36),add(Y,X_36)) != add(X_36,X_36)
    | multiply(X_36,add(Y,X_36)) = add(X_36,X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,X_36)),add(X_36,X_36)) ),[0],$fot(multiply(X_36,add(Y,X_36)))]]) ).

cnf(refute_0_1201,plain,
    ( multiply(add(X_36,X_36),add(Y,X_36)) != add(X_36,X_36)
    | multiply(X_36,add(Y,X_36)) = add(X_36,X_36) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,X_36)),multiply(X_36,add(Y,X_36))) )],[refute_0_1199,refute_0_1200]) ).

cnf(refute_0_1202,plain,
    ( multiply(X_36,add(Y,X_36)) != add(X_36,X_36)
    | add(X_36,X_36) != X_36
    | multiply(X_36,add(Y,X_36)) = X_36 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,add(Y,X_36)),X_36) ),[0],$fot(add(X_36,X_36))]]) ).

cnf(refute_0_1203,plain,
    ( multiply(X_36,add(Y,X_36)) != add(X_36,X_36)
    | multiply(X_36,add(Y,X_36)) = X_36 ),
    inference(resolve,[$cnf( $equal(add(X_36,X_36),X_36) )],[refute_0_1195,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    ( multiply(add(X_36,X_36),add(Y,X_36)) != add(X_36,X_36)
    | multiply(X_36,add(Y,X_36)) = X_36 ),
    inference(resolve,[$cnf( $equal(multiply(X_36,add(Y,X_36)),add(X_36,X_36)) )],[refute_0_1201,refute_0_1203]) ).

cnf(refute_0_1205,plain,
    multiply(X_36,add(Y,X_36)) = X_36,
    inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,X_36)),add(X_36,X_36)) )],[refute_0_1157,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    multiply(b,add(a,b)) = b,
    inference(subst,[],[refute_0_1205:[bind(Y,$fot(a)),bind(X_36,$fot(b))]]) ).

cnf(refute_0_1207,plain,
    ( multiply(b,add(a,b)) != b
    | b != b
    | multiply(b,add(a,b)) = b ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(b,add(a,b)),b) ),[0],$fot(b)]]) ).

cnf(refute_0_1208,plain,
    ( b != b
    | multiply(b,add(a,b)) = b ),
    inference(resolve,[$cnf( $equal(multiply(b,add(a,b)),b) )],[refute_0_1206,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    b != b,
    inference(resolve,[$cnf( $equal(multiply(b,add(a,b)),b) )],[refute_0_1208,refute_0_659]) ).

cnf(refute_0_1210,plain,
    b = b,
    introduced(tautology,[refl,[$fot(b)]]) ).

cnf(refute_0_1211,plain,
    $false,
    inference(resolve,[$cnf( $equal(b,b) )],[refute_0_1210,refute_0_1209]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO024-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 19:57:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.68/0.87  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.68/0.87  
% 0.68/0.87  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.83/1.01  
%------------------------------------------------------------------------------