TSTP Solution File: BOO025-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 23:45:55 EDT 2022
% Result : Unsatisfiable 0.75s 0.97s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 169
% Number of leaves : 291
% Syntax : Number of clauses : 1224 ( 606 unt; 0 nHn; 607 RR)
% Number of literals : 2112 (2111 equ; 890 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 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 : 1894 ( 249 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_equal_identity,negated_conjecture,
multiply(b,inverse(b)) != multiply(a,inverse(a)) ).
cnf(refute_0_0,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_1,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_2,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_3,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(X,add(Y,Z)) != add(multiply(Y,X),multiply(Z,X))
| add(multiply(Y,X),multiply(Z,X)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,X),multiply(Z,X))))]]) ).
cnf(refute_0_5,plain,
add(multiply(Y,X),multiply(Z,X)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(Y,X),multiply(Z,X))) )],[multiply_add_property,refute_0_4]) ).
cnf(refute_0_6,plain,
add(multiply(X,Z),multiply(inverse(Y),Z)) = multiply(Z,add(X,inverse(Y))),
inference(subst,[],[refute_0_5:[bind(X,$fot(Z)),bind(Y,$fot(X)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_7,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,[$fot(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))))]]) ).
cnf(refute_0_8,plain,
( add(multiply(X,Z),multiply(inverse(Y),Z)) != multiply(Z,add(X,inverse(Y)))
| add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
| add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
introduced(tautology,[equality,[$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_9,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( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(inverse(Y),Z)),multiply(Z,add(X,inverse(Y)))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))) != add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))
| pixley(X,Y,Z) != add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))
| pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))) ),
introduced(tautology,[equality,[$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_12,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( $equal(add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z))),add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y))))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
pixley(X,Y,Z) = add(multiply(X,inverse(Y)),multiply(Z,add(X,inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(X,Y,Z),add(multiply(X,inverse(Y)),add(multiply(X,Z),multiply(inverse(Y),Z)))) )],[pixley_defn,refute_0_12]) ).
cnf(refute_0_14,plain,
pixley(X_10,X_11,X_12) = add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_15,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_3:[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_16,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( $equal(pixley(X_10,X_11,X_12),add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11))))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) != multiply(X_12,add(X_10,inverse(X_11)))
| add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))) != pixley(X_10,X_11,X_12)
| multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))) ),
introduced(tautology,[equality,[$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_18,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( $equal(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),pixley(X_10,X_11,X_12)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(pixley(X_10,X_11,X_12),multiply(X_12,add(X_10,inverse(X_11)))) = multiply(X_12,add(X_10,inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,inverse(X_11)),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))),multiply(X_12,add(X_10,inverse(X_11)))) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(pixley(X_98,X_100,X_100),multiply(X_100,add(X_98,inverse(X_100)))) = multiply(X_100,add(X_98,inverse(X_100))),
inference(subst,[],[refute_0_19:[bind(X_10,$fot(X_98)),bind(X_11,$fot(X_100)),bind(X_12,$fot(X_100))]]) ).
cnf(refute_0_21,plain,
pixley(X_98,X_100,X_100) = X_98,
inference(subst,[],[pixley2:[bind(X,$fot(X_98)),bind(Y,$fot(X_100))]]) ).
cnf(refute_0_22,plain,
( multiply(pixley(X_98,X_100,X_100),multiply(X_100,add(X_98,inverse(X_100)))) != multiply(X_100,add(X_98,inverse(X_100)))
| pixley(X_98,X_100,X_100) != X_98
| multiply(X_98,multiply(X_100,add(X_98,inverse(X_100)))) = multiply(X_100,add(X_98,inverse(X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_98,X_100,X_100),multiply(X_100,add(X_98,inverse(X_100)))),multiply(X_100,add(X_98,inverse(X_100)))) ),[0,0],$fot(X_98)]]) ).
cnf(refute_0_23,plain,
( multiply(pixley(X_98,X_100,X_100),multiply(X_100,add(X_98,inverse(X_100)))) != multiply(X_100,add(X_98,inverse(X_100)))
| multiply(X_98,multiply(X_100,add(X_98,inverse(X_100)))) = multiply(X_100,add(X_98,inverse(X_100))) ),
inference(resolve,[$cnf( $equal(pixley(X_98,X_100,X_100),X_98) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(X_98,multiply(X_100,add(X_98,inverse(X_100)))) = multiply(X_100,add(X_98,inverse(X_100))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,X_100,X_100),multiply(X_100,add(X_98,inverse(X_100)))),multiply(X_100,add(X_98,inverse(X_100)))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(inverse(n1),multiply(X_146,add(inverse(n1),inverse(X_146)))) = multiply(X_146,add(inverse(n1),inverse(X_146))),
inference(subst,[],[refute_0_24:[bind(X_100,$fot(X_146)),bind(X_98,$fot(inverse(n1)))]]) ).
cnf(refute_0_26,plain,
pixley(n1,X_11,X_12) = add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(n1)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_27,plain,
multiply(add(X,inverse(X)),inverse(X)) = inverse(X),
inference(subst,[],[multiply_add:[bind(Y,$fot(inverse(X)))]]) ).
cnf(refute_0_28,plain,
( multiply(add(X,inverse(X)),inverse(X)) != inverse(X)
| add(X,inverse(X)) != n1
| multiply(n1,inverse(X)) = inverse(X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,inverse(X)),inverse(X)),inverse(X)) ),[0,0],$fot(n1)]]) ).
cnf(refute_0_29,plain,
( multiply(add(X,inverse(X)),inverse(X)) != inverse(X)
| multiply(n1,inverse(X)) = inverse(X) ),
inference(resolve,[$cnf( $equal(add(X,inverse(X)),n1) )],[additive_inverse,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(n1,inverse(X)) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X)),inverse(X)),inverse(X)) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
multiply(n1,inverse(X_11)) = inverse(X_11),
inference(subst,[],[refute_0_30:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_32,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_33,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( $equal(multiply(n1,inverse(X_11)),inverse(X_11)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
pixley(n1,X_11,X_12) = add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))),
inference(resolve,[$cnf( $equal(pixley(n1,X_11,X_12),add(multiply(n1,inverse(X_11)),multiply(X_12,add(n1,inverse(X_11))))) )],[refute_0_26,refute_0_33]) ).
cnf(refute_0_35,plain,
pixley(n1,n1,X_14) = add(inverse(n1),multiply(X_14,add(n1,inverse(n1)))),
inference(subst,[],[refute_0_34:[bind(X_11,$fot(n1)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_36,plain,
add(n1,inverse(n1)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(n1))]]) ).
cnf(refute_0_37,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_38,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( $equal(add(n1,inverse(n1)),n1) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
pixley(n1,n1,X_14) = add(inverse(n1),multiply(X_14,n1)),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,add(n1,inverse(n1))))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
pixley(n1,n1,X_14) = X_14,
inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_41,plain,
( pixley(n1,n1,X_14) != X_14
| pixley(n1,n1,X_14) != add(inverse(n1),multiply(X_14,n1))
| X_14 = add(inverse(n1),multiply(X_14,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,n1))) ),[0],$fot(X_14)]]) ).
cnf(refute_0_42,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( $equal(pixley(n1,n1,X_14),X_14) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
X_14 = add(inverse(n1),multiply(X_14,n1)),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_14),add(inverse(n1),multiply(X_14,n1))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
add(X_125,X_125) = add(inverse(n1),multiply(add(X_125,X_125),n1)),
inference(subst,[],[refute_0_43:[bind(X_14,$fot(add(X_125,X_125)))]]) ).
cnf(refute_0_45,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_46,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,$fot(X_24))]]) ).
cnf(refute_0_47,plain,
multiply(add(X,X_22),X_22) = X_22,
inference(subst,[],[multiply_add:[bind(Y,$fot(X_22))]]) ).
cnf(refute_0_48,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_49,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( $equal(multiply(add(X,X_22),X_22),X_22) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(X_22,add(add(X,X_22),X_24)) = add(X_22,multiply(X_24,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(add(X,X_22),X_24)),add(multiply(add(X,X_22),X_22),multiply(X_24,X_22))) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))),
inference(subst,[],[refute_0_50:[bind(X,$fot(X_30)),bind(X_22,$fot(multiply(X_32,n1))),bind(X_24,$fot(X_32))]]) ).
cnf(refute_0_52,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_53,plain,
X_15 = add(inverse(n1),multiply(X_15,n1)),
inference(subst,[],[refute_0_43:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_54,plain,
( X_15 != add(inverse(n1),multiply(X_15,n1))
| add(inverse(n1),multiply(X_15,n1)) = X_15 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_15)),bind(Y0,$fot(add(inverse(n1),multiply(X_15,n1))))]]) ).
cnf(refute_0_55,plain,
add(inverse(n1),multiply(X_15,n1)) = X_15,
inference(resolve,[$cnf( $equal(X_15,add(inverse(n1),multiply(X_15,n1))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)) != multiply(X_15,n1)
| add(inverse(n1),multiply(X_15,n1)) != X_15
| multiply(X_15,multiply(X_15,n1)) = multiply(X_15,n1) ),
introduced(tautology,[equality,[$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_57,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( $equal(add(inverse(n1),multiply(X_15,n1)),X_15) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(X_15,multiply(X_15,n1)) = multiply(X_15,n1),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_15,n1)),multiply(X_15,n1)),multiply(X_15,n1)) )],[refute_0_52,refute_0_57]) ).
cnf(refute_0_59,plain,
multiply(X_32,multiply(X_32,n1)) = multiply(X_32,n1),
inference(subst,[],[refute_0_58:[bind(X_15,$fot(X_32))]]) ).
cnf(refute_0_60,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_61,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( $equal(multiply(X_32,multiply(X_32,n1)),multiply(X_32,n1)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))) )],[refute_0_51,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_23,n1))),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_64,plain,
multiply(X_23,multiply(X_23,n1)) = multiply(X_23,n1),
inference(subst,[],[refute_0_58:[bind(X_15,$fot(X_23))]]) ).
cnf(refute_0_65,plain,
( multiply(X_23,multiply(X_23,n1)) != multiply(X_23,n1)
| multiply(multiply(X_23,n1),add(X_23,X_24)) != add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1)))
| multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) ),
introduced(tautology,[equality,[$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_66,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( $equal(multiply(X_23,multiply(X_23,n1)),multiply(X_23,n1)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(multiply(X_23,n1),add(X_23,X_24)) = add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_23,X_24)),add(multiply(X_23,multiply(X_23,n1)),multiply(X_24,multiply(X_23,n1)))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( multiply(multiply(X_23,n1),add(X_23,X_24)) != add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1)))
| add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) = multiply(multiply(X_23,n1),add(X_23,X_24)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(multiply(X_23,n1),add(X_23,X_24)))),bind(Y0,$fot(add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1)))))]]) ).
cnf(refute_0_69,plain,
add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1))) = multiply(multiply(X_23,n1),add(X_23,X_24)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_23,n1),add(X_23,X_24)),add(multiply(X_23,n1),multiply(X_24,multiply(X_23,n1)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))) = multiply(multiply(X_32,n1),add(X_32,X_32)),
inference(subst,[],[refute_0_69:[bind(X_23,$fot(X_32)),bind(X_24,$fot(X_32))]]) ).
cnf(refute_0_71,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_72,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_71]) ).
cnf(refute_0_73,plain,
( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))
| add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))) != multiply(multiply(X_32,n1),add(X_32,X_32))
| multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = multiply(multiply(X_32,n1),add(X_32,X_32)) ),
inference(subst,[],[refute_0_72:[bind(X0,$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_74,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( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1)))) )],[refute_0_51,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) = multiply(multiply(X_32,n1),add(X_32,X_32)),
inference(resolve,[$cnf( $equal(add(multiply(X_32,n1),multiply(X_32,multiply(X_32,n1))),multiply(multiply(X_32,n1),add(X_32,X_32))) )],[refute_0_70,refute_0_74]) ).
cnf(refute_0_76,plain,
( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != multiply(multiply(X_32,n1),add(X_32,X_32))
| multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
| multiply(multiply(X_32,n1),add(X_32,X_32)) = add(multiply(X_32,n1),multiply(X_32,n1)) ),
introduced(tautology,[equality,[$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_77,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( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),multiply(multiply(X_32,n1),add(X_32,X_32))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
add(multiply(X_32,n1),multiply(X_32,n1)) = multiply(n1,add(X_32,X_32)),
inference(subst,[],[refute_0_5:[bind(X,$fot(n1)),bind(Y,$fot(X_32)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_79,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_80,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( $equal(add(multiply(X_32,n1),multiply(X_32,n1)),multiply(n1,add(X_32,X_32))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)) != add(multiply(X_32,n1),multiply(X_32,n1))
| multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(X_32,X_32)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),add(multiply(X_32,n1),multiply(X_32,n1))) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(X_32,X_32)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(add(X_30,multiply(X_32,n1)),X_32)),add(multiply(X_32,n1),multiply(X_32,n1))) )],[refute_0_62,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(multiply(X_36,n1),add(X_36,X_36)) = multiply(n1,add(X_36,X_36)),
inference(subst,[],[refute_0_82:[bind(X_32,$fot(X_36))]]) ).
cnf(refute_0_84,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_85,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( $equal(multiply(multiply(X_36,n1),add(X_36,X_36)),multiply(n1,add(X_36,X_36))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))),
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),add(multiply(Y,add(X_36,X_36)),multiply(multiply(X_36,n1),add(X_36,X_36)))) )],[refute_0_45,refute_0_85]) ).
cnf(refute_0_87,plain,
add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))) = multiply(add(X_36,X_36),add(Y,n1)),
inference(subst,[],[refute_0_5:[bind(X,$fot(add(X_36,X_36))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_88,plain,
( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36)))
| add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))) != multiply(add(X_36,X_36),add(Y,n1))
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,n1)) ),
introduced(tautology,[equality,[$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_89,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( $equal(add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36))),multiply(add(X_36,X_36),add(Y,n1))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(add(X_36,X_36),add(Y,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),add(multiply(Y,add(X_36,X_36)),multiply(n1,add(X_36,X_36)))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = multiply(add(X_122,X_122),add(inverse(n1),n1)),
inference(subst,[],[refute_0_90:[bind(Y,$fot(inverse(n1))),bind(X_36,$fot(X_122))]]) ).
cnf(refute_0_92,plain,
add(X,n1) = add(inverse(n1),multiply(add(X,n1),n1)),
inference(subst,[],[refute_0_43:[bind(X_14,$fot(add(X,n1)))]]) ).
cnf(refute_0_93,plain,
multiply(add(X,n1),n1) = n1,
inference(subst,[],[multiply_add:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_94,plain,
( multiply(add(X,n1),n1) != n1
| add(X,n1) != add(inverse(n1),multiply(add(X,n1),n1))
| add(X,n1) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,n1),add(inverse(n1),multiply(add(X,n1),n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_95,plain,
( add(X,n1) != add(inverse(n1),multiply(add(X,n1),n1))
| add(X,n1) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),n1),n1) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
add(X,n1) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),multiply(add(X,n1),n1))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
( add(X,n1) != add(inverse(n1),n1)
| add(inverse(n1),n1) = add(X,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_98,plain,
add(inverse(n1),n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),n1)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(inverse(n1),n1))
| add(inverse(n1),n1) != add(X,n1)
| multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = multiply(add(X_122,X_122),add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(inverse(n1),n1))) ),[1,1],$fot(add(X,n1))]]) ).
cnf(refute_0_100,plain,
( multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(inverse(n1),n1))
| multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = multiply(add(X_122,X_122),add(X,n1)) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = multiply(add(X_122,X_122),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(inverse(n1),n1))) )],[refute_0_91,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))) = multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)),
inference(subst,[],[refute_0_90:[bind(Y,$fot(multiply(X_11,inverse(X_11)))),bind(X_36,$fot(X_122))]]) ).
cnf(refute_0_103,plain,
pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(X_11)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_104,plain,
add(X_11,inverse(X_11)) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_105,plain,
( add(X_11,inverse(X_11)) != n1
| pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))
| pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
introduced(tautology,[equality,[$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_106,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( $equal(add(X_11,inverse(X_11)),n1) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
pixley(X_11,X_11,X_12) = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),
inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,add(X_11,inverse(X_11))))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
pixley(X_11,X_11,X_12) = X_12,
inference(subst,[],[pixley1:[bind(X,$fot(X_11)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_109,plain,
( pixley(X_11,X_11,X_12) != X_12
| pixley(X_11,X_11,X_12) != add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))
| X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)) ),
introduced(tautology,[equality,[$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_110,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( $equal(pixley(X_11,X_11,X_12),X_12) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
X_12 = add(multiply(X_11,inverse(X_11)),multiply(X_12,n1)),
inference(resolve,[$cnf( $equal(pixley(X_11,X_11,X_12),add(multiply(X_11,inverse(X_11)),multiply(X_12,n1))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
X_122 = add(multiply(X_11,inverse(X_11)),multiply(X_122,n1)),
inference(subst,[],[refute_0_111:[bind(X_12,$fot(X_122))]]) ).
cnf(refute_0_113,plain,
( X_122 != add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))
| add(multiply(X_11,inverse(X_11)),multiply(X_122,n1)) = X_122 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_122)),bind(Y0,$fot(add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))))]]) ).
cnf(refute_0_114,plain,
add(multiply(X_11,inverse(X_11)),multiply(X_122,n1)) = X_122,
inference(resolve,[$cnf( $equal(X_122,add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| add(multiply(X_11,inverse(X_11)),multiply(X_122,n1)) != X_122
| multiply(add(X_122,X_122),X_122) = multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))),multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))) ),[0,1],$fot(X_122)]]) ).
cnf(refute_0_116,plain,
( multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| multiply(add(X_122,X_122),X_122) = multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_11,inverse(X_11)),multiply(X_122,n1)),X_122) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(add(X_122,X_122),X_122) = multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),multiply(X_122,n1))),multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))) )],[refute_0_102,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(add(X_122,X_122),X_122) = X_122,
inference(subst,[],[multiply_add:[bind(X,$fot(X_122)),bind(Y,$fot(X_122))]]) ).
cnf(refute_0_119,plain,
( multiply(add(X_122,X_122),X_122) != X_122
| multiply(add(X_122,X_122),X_122) != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| X_122 = multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),X_122),multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))) ),[0],$fot(X_122)]]) ).
cnf(refute_0_120,plain,
( multiply(add(X_122,X_122),X_122) != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| X_122 = multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),X_122),X_122) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(X_22,add(inverse(n1),n1)) = add(multiply(inverse(n1),X_22),multiply(n1,X_22)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(inverse(n1))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_122,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_123,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( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_98,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(X_22,add(X,n1)) = add(multiply(inverse(n1),X_22),multiply(n1,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(inverse(n1),n1)),add(multiply(inverse(n1),X_22),multiply(n1,X_22))) )],[refute_0_121,refute_0_123]) ).
cnf(refute_0_125,plain,
add(multiply(inverse(n1),X_22),multiply(n1,X_22)) = multiply(X_22,add(inverse(n1),n1)),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_22)),bind(Y,$fot(inverse(n1))),bind(Z,$fot(n1))]]) ).
cnf(refute_0_126,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_127,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( $equal(add(multiply(inverse(n1),X_22),multiply(n1,X_22)),multiply(X_22,add(inverse(n1),n1))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(X_22,add(X,n1)) = multiply(X_22,add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(multiply(inverse(n1),X_22),multiply(n1,X_22))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)) = multiply(add(X_122,X_122),add(inverse(n1),n1)),
inference(subst,[],[refute_0_128:[bind(X,$fot(multiply(X_11,inverse(X_11)))),bind(X_22,$fot(add(X_122,X_122)))]]) ).
cnf(refute_0_130,plain,
( X_122 != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)) != multiply(add(X_122,X_122),add(inverse(n1),n1))
| X_122 = multiply(add(X_122,X_122),add(inverse(n1),n1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_122,multiply(add(X_122,X_122),add(inverse(n1),n1))) ),[0],$fot(multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)))]]) ).
cnf(refute_0_131,plain,
( X_122 != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| X_122 = multiply(add(X_122,X_122),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1)),multiply(add(X_122,X_122),add(inverse(n1),n1))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( multiply(add(X_122,X_122),X_122) != multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))
| X_122 = multiply(add(X_122,X_122),add(inverse(n1),n1)) ),
inference(resolve,[$cnf( $equal(X_122,multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))) )],[refute_0_120,refute_0_131]) ).
cnf(refute_0_133,plain,
X_122 = multiply(add(X_122,X_122),add(inverse(n1),n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),X_122),multiply(add(X_122,X_122),add(multiply(X_11,inverse(X_11)),n1))) )],[refute_0_117,refute_0_132]) ).
cnf(refute_0_134,plain,
( X_122 != multiply(add(X_122,X_122),add(inverse(n1),n1))
| multiply(add(X_122,X_122),add(inverse(n1),n1)) = X_122 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_122)),bind(Y0,$fot(multiply(add(X_122,X_122),add(inverse(n1),n1))))]]) ).
cnf(refute_0_135,plain,
multiply(add(X_122,X_122),add(inverse(n1),n1)) = X_122,
inference(resolve,[$cnf( $equal(X_122,multiply(add(X_122,X_122),add(inverse(n1),n1))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(inverse(n1),n1))
| multiply(add(X_122,X_122),add(inverse(n1),n1)) != X_122
| multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = X_122 ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))))),bind(Y0,$fot(multiply(add(X_122,X_122),add(inverse(n1),n1)))),bind(Z0,$fot(X_122))]]) ).
cnf(refute_0_137,plain,
( multiply(add(X_122,X_122),add(inverse(n1),n1)) != X_122
| multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = X_122 ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(inverse(n1),n1))) )],[refute_0_91,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) = X_122,
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),n1)),X_122) )],[refute_0_135,refute_0_137]) ).
cnf(refute_0_139,plain,
( multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) != X_122
| multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(X,n1))
| X_122 = multiply(add(X_122,X_122),add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(X,n1))) ),[0],$fot(X_122)]]) ).
cnf(refute_0_140,plain,
( multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(X,n1))
| X_122 = multiply(add(X_122,X_122),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))),X_122) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
X_122 = multiply(add(X_122,X_122),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(X,n1))) )],[refute_0_101,refute_0_140]) ).
cnf(refute_0_142,plain,
pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(multiply(n1,inverse(add(inverse(n1),n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))),
inference(subst,[],[refute_0_13:[bind(X,$fot(n1)),bind(Y,$fot(add(inverse(n1),n1))),bind(Z,$fot(add(n1,n1)))]]) ).
cnf(refute_0_143,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_50:[bind(X,$fot(X_30)),bind(X_22,$fot(X_31)),bind(X_24,$fot(inverse(add(X_30,X_31))))]]) ).
cnf(refute_0_144,plain,
add(add(X_30,X_31),inverse(add(X_30,X_31))) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(add(X_30,X_31)))]]) ).
cnf(refute_0_145,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_146,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( $equal(add(add(X_30,X_31),inverse(add(X_30,X_31))),n1) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(X_31,n1) = add(X_31,multiply(inverse(add(X_30,X_31)),X_31)),
inference(resolve,[$cnf( $equal(multiply(X_31,add(add(X_30,X_31),inverse(add(X_30,X_31)))),add(X_31,multiply(inverse(add(X_30,X_31)),X_31))) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(add(X_80,n1),add(n1,n1))),add(n1,n1))),
inference(subst,[],[refute_0_147:[bind(X_30,$fot(add(X_80,n1))),bind(X_31,$fot(add(n1,n1)))]]) ).
cnf(refute_0_149,plain,
multiply(X_22,add(X_23,add(X,X_22))) = add(multiply(X_23,X_22),multiply(add(X,X_22),X_22)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(add(X,X_22)))]]) ).
cnf(refute_0_150,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_151,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( $equal(multiply(add(X,X_22),X_22),X_22) )],[refute_0_47,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(X_22,add(X_23,add(X,X_22))) = add(multiply(X_23,X_22),X_22),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X_23,add(X,X_22))),add(multiply(X_23,X_22),multiply(add(X,X_22),X_22))) )],[refute_0_149,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1),
inference(subst,[],[refute_0_152:[bind(X_22,$fot(n1)),bind(X_23,$fot(multiply(inverse(inverse(n1)),add(X,n1))))]]) ).
cnf(refute_0_154,plain,
multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),
inference(subst,[],[refute_0_152:[bind(X,$fot(X_40)),bind(X_22,$fot(add(X,n1))),bind(X_23,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_155,plain,
multiply(inverse(inverse(n1)),add(X,n1)) = multiply(inverse(inverse(n1)),add(inverse(n1),n1)),
inference(subst,[],[refute_0_128:[bind(X_22,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_156,plain,
multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = add(inverse(X),multiply(n1,inverse(X))),
inference(subst,[],[refute_0_50:[bind(X,$fot(X_30)),bind(X_22,$fot(inverse(X))),bind(X_24,$fot(n1))]]) ).
cnf(refute_0_157,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_158,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( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_30,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = add(inverse(X),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),multiply(n1,inverse(X)))) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(X_22,add(X_23,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_161,plain,
add(X_16,n1) = add(inverse(n1),n1),
inference(subst,[],[refute_0_96:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_162,plain,
( add(X_16,n1) != add(inverse(n1),n1)
| add(inverse(n1),n1) = add(X_16,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(X_16,n1))),bind(Y0,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_163,plain,
add(inverse(n1),n1) = add(X_16,n1),
inference(resolve,[$cnf( $equal(add(X_16,n1),add(inverse(n1),n1)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( add(X,n1) != add(inverse(n1),n1)
| add(inverse(n1),n1) != add(X_16,n1)
| add(X,n1) = add(X_16,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,n1),add(X_16,n1)) ),[0],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_165,plain,
( add(X,n1) != add(inverse(n1),n1)
| add(X,n1) = add(X_16,n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X_16,n1)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
add(X,n1) = add(X_16,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),n1)) )],[refute_0_96,refute_0_165]) ).
cnf(refute_0_167,plain,
add(X,n1) = add(X_23,n1),
inference(subst,[],[refute_0_166:[bind(X_16,$fot(X_23))]]) ).
cnf(refute_0_168,plain,
( add(X,n1) != add(X_23,n1)
| add(X_23,n1) = add(X,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(X_23,n1)))]]) ).
cnf(refute_0_169,plain,
add(X_23,n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(X_23,n1)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( multiply(X_22,add(X_23,n1)) != add(multiply(X_23,X_22),multiply(n1,X_22))
| add(X_23,n1) != add(X,n1)
| multiply(X_22,add(X,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)) ),
introduced(tautology,[equality,[$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_171,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( $equal(add(X_23,n1),add(X,n1)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_22,add(X,n1)) = add(multiply(X_23,X_22),multiply(n1,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X_23,n1)),add(multiply(X_23,X_22),multiply(n1,X_22))) )],[refute_0_160,refute_0_171]) ).
cnf(refute_0_173,plain,
add(multiply(X_23,X_22),multiply(n1,X_22)) = multiply(X_22,add(X_23,n1)),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_174,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_175,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( $equal(add(multiply(X_23,X_22),multiply(n1,X_22)),multiply(X_22,add(X_23,n1))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(X_22,add(X,n1)) = multiply(X_22,add(X_23,n1)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(multiply(X_23,X_22),multiply(n1,X_22))) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(X_22,add(X,n1)) = multiply(X_22,add(add(X_30,X_22),n1)),
inference(subst,[],[refute_0_176:[bind(X_23,$fot(add(X_30,X_22)))]]) ).
cnf(refute_0_178,plain,
multiply(X_22,add(add(X_30,X_22),n1)) = add(X_22,multiply(n1,X_22)),
inference(subst,[],[refute_0_50:[bind(X,$fot(X_30)),bind(X_24,$fot(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(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_180,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( $equal(multiply(X_22,add(add(X_30,X_22),n1)),add(X_22,multiply(n1,X_22))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(X_22,add(X,n1)) = add(X_22,multiply(n1,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),multiply(X_22,add(add(X_30,X_22),n1))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(X_22,add(X,n1)) != add(X_22,multiply(n1,X_22))
| add(X_22,multiply(n1,X_22)) = multiply(X_22,add(X,n1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_22,add(X,n1)))),bind(Y0,$fot(add(X_22,multiply(n1,X_22))))]]) ).
cnf(refute_0_183,plain,
add(X_22,multiply(n1,X_22)) = multiply(X_22,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X,n1)),add(X_22,multiply(n1,X_22))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
add(inverse(X),multiply(n1,inverse(X))) = multiply(inverse(X),add(X,n1)),
inference(subst,[],[refute_0_183:[bind(X_22,$fot(inverse(X)))]]) ).
cnf(refute_0_185,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_72:[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,$fot(multiply(inverse(X),add(X,n1))))]]) ).
cnf(refute_0_186,plain,
( add(inverse(X),multiply(n1,inverse(X))) != multiply(inverse(X),add(X,n1))
| multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = multiply(inverse(X),add(X,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),multiply(n1,inverse(X)))) )],[refute_0_156,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(inverse(X),add(add(X_30,inverse(X)),n1)) = multiply(inverse(X),add(X,n1)),
inference(resolve,[$cnf( $equal(add(inverse(X),multiply(n1,inverse(X))),multiply(inverse(X),add(X,n1))) )],[refute_0_184,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != multiply(inverse(X),add(X,n1))
| multiply(inverse(X),add(add(X_30,inverse(X)),n1)) != add(inverse(X),inverse(X))
| multiply(inverse(X),add(X,n1)) = add(inverse(X),inverse(X)) ),
introduced(tautology,[equality,[$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_189,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( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),multiply(inverse(X),add(X,n1))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(inverse(X),add(X,n1)) = add(inverse(X),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(add(X_30,inverse(X)),n1)),add(inverse(X),inverse(X))) )],[refute_0_159,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(inverse(inverse(n1)),add(inverse(n1),n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))),
inference(subst,[],[refute_0_190:[bind(X,$fot(inverse(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(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_193,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( $equal(multiply(inverse(inverse(n1)),add(inverse(n1),n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(inverse(inverse(n1)),add(X,n1)) = add(inverse(inverse(n1)),inverse(inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(n1)),add(X,n1)),multiply(inverse(inverse(n1)),add(inverse(n1),n1))) )],[refute_0_155,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))
| multiply(inverse(inverse(n1)),add(X,n1)) != add(inverse(inverse(n1)),inverse(inverse(n1)))
| multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) ),
introduced(tautology,[equality,[$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_196,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( $equal(multiply(inverse(inverse(n1)),add(X,n1)),add(inverse(inverse(n1)),inverse(inverse(n1)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) )],[refute_0_154,refute_0_196]) ).
cnf(refute_0_198,plain,
( multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))
| multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
| add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) ),
introduced(tautology,[equality,[$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_199,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( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) )],[refute_0_154,refute_0_198]) ).
cnf(refute_0_200,plain,
add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X,n1),add(inverse(inverse(n1)),add(X_40,add(X,n1)))),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) )],[refute_0_197,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = add(multiply(n1,inverse(X)),inverse(X)),
inference(subst,[],[refute_0_152:[bind(X,$fot(X_40)),bind(X_22,$fot(inverse(X))),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_202,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_203,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( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_30,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = add(inverse(X),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) )],[refute_0_201,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(inverse(X),add(X_23,n1)) = add(multiply(X_23,inverse(X)),multiply(n1,inverse(X))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_23)),bind(Z,$fot(n1))]]) ).
cnf(refute_0_206,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_207,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( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_30,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(inverse(X),add(X_23,n1)) = add(multiply(X_23,inverse(X)),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),multiply(n1,inverse(X)))) )],[refute_0_205,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(inverse(X),add(X_23,n1)) != add(multiply(X_23,inverse(X)),inverse(X))
| add(multiply(X_23,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_23,n1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X),add(X_23,n1)))),bind(Y0,$fot(add(multiply(X_23,inverse(X)),inverse(X))))]]) ).
cnf(refute_0_210,plain,
add(multiply(X_23,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_23,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),inverse(X))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
add(multiply(n1,inverse(X)),inverse(X)) = multiply(inverse(X),add(n1,n1)),
inference(subst,[],[refute_0_210:[bind(X_23,$fot(n1))]]) ).
cnf(refute_0_212,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_72:[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,$fot(multiply(inverse(X),add(n1,n1))))]]) ).
cnf(refute_0_213,plain,
( add(multiply(n1,inverse(X)),inverse(X)) != multiply(inverse(X),add(n1,n1))
| multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = multiply(inverse(X),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(multiply(n1,inverse(X)),inverse(X))) )],[refute_0_201,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(inverse(X),add(n1,add(X_40,inverse(X)))) = multiply(inverse(X),add(n1,n1)),
inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(X)),inverse(X)),multiply(inverse(X),add(n1,n1))) )],[refute_0_211,refute_0_213]) ).
cnf(refute_0_215,plain,
( multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != multiply(inverse(X),add(n1,n1))
| multiply(inverse(X),add(n1,add(X_40,inverse(X)))) != add(inverse(X),inverse(X))
| multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)) ),
introduced(tautology,[equality,[$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_216,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( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),multiply(inverse(X),add(n1,n1))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(inverse(X),add(n1,n1)) = add(inverse(X),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,add(X_40,inverse(X)))),add(inverse(X),inverse(X))) )],[refute_0_204,refute_0_216]) ).
cnf(refute_0_218,plain,
( multiply(inverse(X),add(n1,n1)) != add(inverse(X),inverse(X))
| add(inverse(X),inverse(X)) = multiply(inverse(X),add(n1,n1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X),add(n1,n1)))),bind(Y0,$fot(add(inverse(X),inverse(X))))]]) ).
cnf(refute_0_219,plain,
add(inverse(X),inverse(X)) = multiply(inverse(X),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,n1)),add(inverse(X),inverse(X))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
add(inverse(inverse(n1)),inverse(inverse(n1))) = multiply(inverse(inverse(n1)),add(n1,n1)),
inference(subst,[],[refute_0_219:[bind(X,$fot(inverse(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)),
introduced(tautology,[refl,[$fot(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)))]]) ).
cnf(refute_0_222,plain,
( add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
| add(inverse(inverse(n1)),inverse(inverse(n1))) != multiply(inverse(inverse(n1)),add(n1,n1))
| add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)) ),
introduced(tautology,[equality,[$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_223,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( $equal(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(n1)),inverse(inverse(n1))),multiply(inverse(inverse(n1)),add(n1,n1))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) != add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))
| add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)) != add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))
| add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)) ),
introduced(tautology,[equality,[$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_226,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( $equal(add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1)),add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) = add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),add(add(inverse(inverse(n1)),inverse(inverse(n1))),add(X,n1))) )],[refute_0_200,refute_0_226]) ).
cnf(refute_0_228,plain,
( multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
| add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)) != add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))
| multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) ),
introduced(tautology,[equality,[$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_229,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( $equal(add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1)),add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(X,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) )],[refute_0_153,refute_0_229]) ).
cnf(refute_0_231,plain,
add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1) = add(inverse(n1),n1),
inference(subst,[],[refute_0_96:[bind(X,$fot(multiply(multiply(inverse(inverse(n1)),add(n1,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),
inference(subst,[],[refute_0_152:[bind(X_22,$fot(n1)),bind(X_23,$fot(multiply(inverse(inverse(n1)),add(n1,n1))))]]) ).
cnf(refute_0_233,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_72:[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,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_234,plain,
( add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1) != add(inverse(n1),n1)
| multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(multiply(multiply(inverse(inverse(n1)),add(n1,n1)),n1),n1),add(inverse(n1),n1)) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
( multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
| multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(inverse(n1),n1)
| add(inverse(n1),n1) = add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) ),
introduced(tautology,[equality,[$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_237,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( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(inverse(n1),n1)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(add(inverse(n1),n1),add(X_66,n1)) = add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1))),
inference(subst,[],[refute_0_181:[bind(X,$fot(X_66)),bind(X_22,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_239,plain,
multiply(n1,add(X,n1)) = multiply(n1,add(inverse(n1),n1)),
inference(subst,[],[refute_0_128:[bind(X_22,$fot(n1))]]) ).
cnf(refute_0_240,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_3:[bind(X0,$fot(multiply(n1,add(X,n1)))),bind(Y0,$fot(multiply(n1,add(inverse(n1),n1))))]]) ).
cnf(refute_0_241,plain,
multiply(n1,add(inverse(n1),n1)) = multiply(n1,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),multiply(n1,add(inverse(n1),n1))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
( multiply(add(inverse(n1),n1),add(X_66,n1)) != add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))
| multiply(n1,add(inverse(n1),n1)) != multiply(n1,add(X,n1))
| multiply(add(inverse(n1),n1),add(X_66,n1)) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_66,n1)),add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))) ),[1,1],$fot(multiply(n1,add(X,n1)))]]) ).
cnf(refute_0_243,plain,
( multiply(add(inverse(n1),n1),add(X_66,n1)) != add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))
| multiply(add(inverse(n1),n1),add(X_66,n1)) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),n1)),multiply(n1,add(X,n1))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(add(inverse(n1),n1),add(X_66,n1)) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_66,n1)),add(add(inverse(n1),n1),multiply(n1,add(inverse(n1),n1)))) )],[refute_0_238,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)) = multiply(X_24,X_22),
inference(subst,[],[multiply_add:[bind(X,$fot(multiply(X_23,X_22))),bind(Y,$fot(multiply(X_24,X_22)))]]) ).
cnf(refute_0_246,plain,
multiply(X_22,add(X_23,X_24)) = add(multiply(X_23,X_22),multiply(X_24,X_22)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_247,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_3:[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_248,plain,
add(multiply(X_23,X_22),multiply(X_24,X_22)) = multiply(X_22,add(X_23,X_24)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(X_23,X_24)),add(multiply(X_23,X_22),multiply(X_24,X_22))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)) != multiply(X_24,X_22)
| add(multiply(X_23,X_22),multiply(X_24,X_22)) != multiply(X_22,add(X_23,X_24))
| multiply(multiply(X_22,add(X_23,X_24)),multiply(X_24,X_22)) = multiply(X_24,X_22) ),
introduced(tautology,[equality,[$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_250,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( $equal(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_22,add(X_23,X_24))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(multiply(X_22,add(X_23,X_24)),multiply(X_24,X_22)) = multiply(X_24,X_22),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_23,X_22),multiply(X_24,X_22)),multiply(X_24,X_22)),multiply(X_24,X_22)) )],[refute_0_245,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(multiply(add(X,add(X_27,n1)),add(X_69,n1)),multiply(n1,add(X,add(X_27,n1)))) = multiply(n1,add(X,add(X_27,n1))),
inference(subst,[],[refute_0_251:[bind(X_22,$fot(add(X,add(X_27,n1)))),bind(X_23,$fot(X_69)),bind(X_24,$fot(n1))]]) ).
cnf(refute_0_253,plain,
multiply(add(X,add(X_27,n1)),add(X_27,n1)) = add(X_27,n1),
inference(subst,[],[multiply_add:[bind(Y,$fot(add(X_27,n1)))]]) ).
cnf(refute_0_254,plain,
multiply(add(X,add(X_27,n1)),add(X_27,n1)) = multiply(add(X,add(X_27,n1)),add(X_29,n1)),
inference(subst,[],[refute_0_176:[bind(X,$fot(X_27)),bind(X_22,$fot(add(X,add(X_27,n1)))),bind(X_23,$fot(X_29))]]) ).
cnf(refute_0_255,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_256,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( $equal(multiply(add(X,add(X_27,n1)),add(X_27,n1)),multiply(add(X,add(X_27,n1)),add(X_29,n1))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(add(X,add(X_27,n1)),add(X_29,n1)) = add(X_27,n1),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_27,n1)),add(X_27,n1)),add(X_27,n1)) )],[refute_0_253,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(add(X,add(X_27,n1)),add(X_69,n1)) = add(X_27,n1),
inference(subst,[],[refute_0_257:[bind(X_29,$fot(X_69))]]) ).
cnf(refute_0_259,plain,
( multiply(multiply(add(X,add(X_27,n1)),add(X_69,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_69,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( $equal(multiply(multiply(add(X,add(X_27,n1)),add(X_69,n1)),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) ),[0,0],$fot(add(X_27,n1))]]) ).
cnf(refute_0_260,plain,
( multiply(multiply(add(X,add(X_27,n1)),add(X_69,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( $equal(multiply(add(X,add(X_27,n1)),add(X_69,n1)),add(X_27,n1)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(n1,add(X,add(X_27,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,add(X_27,n1)),add(X_69,n1)),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) )],[refute_0_252,refute_0_260]) ).
cnf(refute_0_262,plain,
( add(X,n1) != add(X_16,n1)
| add(X_16,n1) = add(X,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(X_16,n1)))]]) ).
cnf(refute_0_263,plain,
add(X_16,n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(X_16,n1)) )],[refute_0_166,refute_0_262]) ).
cnf(refute_0_264,plain,
add(multiply(X,n1),n1) = add(X,n1),
inference(subst,[],[refute_0_263:[bind(X_16,$fot(multiply(X,n1)))]]) ).
cnf(refute_0_265,plain,
multiply(n1,add(X,add(X_27,n1))) = add(multiply(X,n1),n1),
inference(subst,[],[refute_0_152:[bind(X,$fot(X_27)),bind(X_22,$fot(n1)),bind(X_23,$fot(X))]]) ).
cnf(refute_0_266,plain,
( multiply(n1,add(X,add(X_27,n1))) != add(multiply(X,n1),n1)
| add(multiply(X,n1),n1) != add(X,n1)
| multiply(n1,add(X,add(X_27,n1))) = add(X,n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$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_267,plain,
( add(multiply(X,n1),n1) != add(X,n1)
| multiply(n1,add(X,add(X_27,n1))) = add(X,n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,add(X_27,n1))),add(multiply(X,n1),n1)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(n1,add(X,add(X_27,n1))) = add(X,n1),
inference(resolve,[$cnf( $equal(add(multiply(X,n1),n1),add(X,n1)) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),
introduced(tautology,[refl,[$fot(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))))]]) ).
cnf(refute_0_270,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_271,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( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1))))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) = multiply(add(X_27,n1),add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,add(X_27,n1))),add(X,n1)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
( multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(add(X_27,n1),add(X,n1))
| multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
| multiply(add(X_27,n1),add(X,n1)) = multiply(n1,add(X,add(X_27,n1))) ),
introduced(tautology,[equality,[$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_274,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( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(add(X_27,n1),add(X,n1))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
( multiply(add(X_27,n1),add(X,n1)) != multiply(n1,add(X,add(X_27,n1)))
| multiply(n1,add(X,add(X_27,n1))) != add(X,n1)
| multiply(add(X_27,n1),add(X,n1)) = add(X,n1) ),
introduced(tautology,[equality,[$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_276,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( $equal(multiply(n1,add(X,add(X_27,n1))),add(X,n1)) )],[refute_0_268,refute_0_275]) ).
cnf(refute_0_277,plain,
( multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))) != multiply(n1,add(X,add(X_27,n1)))
| multiply(add(X_27,n1),add(X,n1)) = add(X,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(X,n1)),multiply(n1,add(X,add(X_27,n1)))) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(add(X_27,n1),add(X,n1)) = add(X,n1),
inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),multiply(n1,add(X,add(X_27,n1)))),multiply(n1,add(X,add(X_27,n1)))) )],[refute_0_261,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(add(inverse(n1),n1),add(X_66,n1)) = add(X_66,n1),
inference(subst,[],[refute_0_278:[bind(X,$fot(X_66)),bind(X_27,$fot(inverse(n1)))]]) ).
cnf(refute_0_280,plain,
( multiply(add(inverse(n1),n1),add(X_66,n1)) != add(X_66,n1)
| multiply(add(inverse(n1),n1),add(X_66,n1)) != add(add(inverse(n1),n1),multiply(n1,add(X,n1)))
| add(X_66,n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_66,n1)),add(add(inverse(n1),n1),multiply(n1,add(X,n1)))) ),[0],$fot(add(X_66,n1))]]) ).
cnf(refute_0_281,plain,
( multiply(add(inverse(n1),n1),add(X_66,n1)) != add(add(inverse(n1),n1),multiply(n1,add(X,n1)))
| add(X_66,n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_66,n1)),add(X_66,n1)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
add(X_66,n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(X_66,n1)),add(add(inverse(n1),n1),multiply(n1,add(X,n1)))) )],[refute_0_244,refute_0_281]) ).
cnf(refute_0_283,plain,
add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
inference(subst,[],[refute_0_282:[bind(X_66,$fot(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1)))]]) ).
cnf(refute_0_284,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_285,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( $equal(add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1),add(add(inverse(n1),n1),multiply(n1,add(X,n1)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))) != add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)
| add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) )],[refute_0_237,refute_0_285]) ).
cnf(refute_0_287,plain,
add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(n1,add(multiply(inverse(inverse(n1)),add(n1,n1)),add(X,n1))),add(multiply(multiply(inverse(inverse(n1)),add(X,n1)),n1),n1)) )],[refute_0_230,refute_0_286]) ).
cnf(refute_0_288,plain,
add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1))),
inference(subst,[],[refute_0_287:[bind(X,$fot(add(X,n1)))]]) ).
cnf(refute_0_289,plain,
multiply(n1,add(add(X,n1),n1)) = add(n1,multiply(n1,n1)),
inference(subst,[],[refute_0_50:[bind(X_22,$fot(n1)),bind(X_24,$fot(n1))]]) ).
cnf(refute_0_290,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_291,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( $equal(multiply(n1,add(add(X,n1),n1)),add(n1,multiply(n1,n1))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
add(inverse(n1),n1) = add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(add(X,n1),n1)))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
( add(inverse(n1),n1) != add(X_16,n1)
| add(inverse(n1),n1) != add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))
| add(inverse(n1),n1) = add(add(X_16,n1),add(n1,multiply(n1,n1))) ),
introduced(tautology,[equality,[$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_294,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( $equal(add(inverse(n1),n1),add(X_16,n1)) )],[refute_0_163,refute_0_293]) ).
cnf(refute_0_295,plain,
add(inverse(n1),n1) = add(add(X_16,n1),add(n1,multiply(n1,n1))),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))) )],[refute_0_292,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)),
inference(subst,[],[multiply_add:[bind(X,$fot(add(inverse(n1),n1))),bind(Y,$fot(add(n1,multiply(n1,n1))))]]) ).
cnf(refute_0_297,plain,
( add(inverse(n1),n1) != add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))
| add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(inverse(n1),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(inverse(n1),n1))),bind(Y0,$fot(add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))))]]) ).
cnf(refute_0_298,plain,
add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),add(n1,multiply(n1,n1)))) )],[refute_0_292,refute_0_297]) ).
cnf(refute_0_299,plain,
( multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) != add(n1,multiply(n1,n1))
| add(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(inverse(n1),n1)
| multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)) ),
introduced(tautology,[equality,[$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_300,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( $equal(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(inverse(n1),n1)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,multiply(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) )],[refute_0_296,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_37,n1))),bind(Z,$fot(multiply(n1,n1)))]]) ).
cnf(refute_0_303,plain,
multiply(multiply(n1,n1),add(X,n1)) = multiply(multiply(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_176:[bind(X_22,$fot(multiply(n1,n1))),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_304,plain,
multiply(multiply(n1,n1),add(n1,n1)) = multiply(n1,add(n1,n1)),
inference(subst,[],[refute_0_82:[bind(X_32,$fot(n1))]]) ).
cnf(refute_0_305,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_306,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( $equal(multiply(multiply(n1,n1),add(n1,n1)),multiply(n1,add(n1,n1))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(multiply(n1,n1),add(X,n1)) = multiply(n1,add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(n1,n1),add(X,n1)),multiply(multiply(n1,n1),add(n1,n1))) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(multiply(n1,n1),add(X_37,n1)) = multiply(n1,add(n1,n1)),
inference(subst,[],[refute_0_307:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_309,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_310,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( $equal(multiply(multiply(n1,n1),add(X_37,n1)),multiply(n1,add(n1,n1))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_37,n1)),multiply(multiply(n1,n1),add(X_37,n1)))) )],[refute_0_302,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_27,n1)))]]) ).
cnf(refute_0_313,plain,
multiply(Y,add(X_27,n1)) = multiply(Y,add(X_29,n1)),
inference(subst,[],[refute_0_176:[bind(X,$fot(X_27)),bind(X_22,$fot(Y)),bind(X_23,$fot(X_29))]]) ).
cnf(refute_0_314,plain,
( multiply(Y,add(X_27,n1)) != multiply(Y,add(X_29,n1))
| multiply(add(X_27,n1),add(Y,Z)) != add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1)))
| multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) ),
introduced(tautology,[equality,[$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_315,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( $equal(multiply(Y,add(X_27,n1)),multiply(Y,add(X_29,n1))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(add(X_27,n1),add(Y,Z)) = add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(Y,Z)),add(multiply(Y,add(X_27,n1)),multiply(Z,add(X_27,n1)))) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
( multiply(add(X_27,n1),add(Y,Z)) != add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1)))
| add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) = multiply(add(X_27,n1),add(Y,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(add(X_27,n1),add(Y,Z)))),bind(Y0,$fot(add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1)))))]]) ).
cnf(refute_0_318,plain,
add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1))) = multiply(add(X_27,n1),add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_27,n1),add(Y,Z)),add(multiply(Y,add(X_29,n1)),multiply(Z,add(X_27,n1)))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))) = multiply(add(n1,n1),add(Y,n1)),
inference(subst,[],[refute_0_318:[bind(Z,$fot(n1)),bind(X_27,$fot(n1)),bind(X_29,$fot(X_37))]]) ).
cnf(refute_0_320,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_321,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( $equal(add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1))),multiply(add(n1,n1),add(Y,n1))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = multiply(add(n1,n1),add(Y,n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),add(multiply(Y,add(X_37,n1)),multiply(n1,add(n1,n1)))) )],[refute_0_311,refute_0_321]) ).
cnf(refute_0_323,plain,
multiply(add(n1,n1),add(Y,n1)) = add(Y,n1),
inference(subst,[],[refute_0_278:[bind(X,$fot(Y)),bind(X_27,$fot(n1))]]) ).
cnf(refute_0_324,plain,
( multiply(add(X_37,n1),add(Y,multiply(n1,n1))) != multiply(add(n1,n1),add(Y,n1))
| multiply(add(n1,n1),add(Y,n1)) != add(Y,n1)
| multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(Y,n1) ),
introduced(tautology,[equality,[$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_325,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( $equal(multiply(add(n1,n1),add(Y,n1)),add(Y,n1)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(add(X_37,n1),add(Y,multiply(n1,n1))) = add(Y,n1),
inference(resolve,[$cnf( $equal(multiply(add(X_37,n1),add(Y,multiply(n1,n1))),multiply(add(n1,n1),add(Y,n1))) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) = add(n1,n1),
inference(subst,[],[refute_0_326:[bind(Y,$fot(n1)),bind(X_37,$fot(inverse(n1)))]]) ).
cnf(refute_0_328,plain,
( multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(n1,multiply(n1,n1))
| multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))) != add(n1,n1)
| add(n1,n1) = add(n1,multiply(n1,n1)) ),
introduced(tautology,[equality,[$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_329,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( $equal(multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,n1)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
add(n1,n1) = add(n1,multiply(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),n1),add(n1,multiply(n1,n1))),add(n1,multiply(n1,n1))) )],[refute_0_301,refute_0_329]) ).
cnf(refute_0_331,plain,
( add(n1,n1) != add(n1,multiply(n1,n1))
| add(n1,multiply(n1,n1)) = add(n1,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(n1,n1))),bind(Y0,$fot(add(n1,multiply(n1,n1))))]]) ).
cnf(refute_0_332,plain,
add(n1,multiply(n1,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(add(n1,n1),add(n1,multiply(n1,n1))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
add(add(X_16,n1),add(n1,multiply(n1,n1))) = add(add(X_16,n1),add(n1,multiply(n1,n1))),
introduced(tautology,[refl,[$fot(add(add(X_16,n1),add(n1,multiply(n1,n1))))]]) ).
cnf(refute_0_334,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_335,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( $equal(add(add(X_16,n1),add(n1,multiply(n1,n1))),add(add(X_16,n1),add(n1,multiply(n1,n1)))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
add(add(X_16,n1),add(n1,multiply(n1,n1))) = add(add(X_16,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(add(n1,multiply(n1,n1)),add(n1,n1)) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
( add(add(X_16,n1),add(n1,multiply(n1,n1))) != add(add(X_16,n1),add(n1,n1))
| add(inverse(n1),n1) != add(add(X_16,n1),add(n1,multiply(n1,n1)))
| add(inverse(n1),n1) = add(add(X_16,n1),add(n1,n1)) ),
introduced(tautology,[equality,[$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_338,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( $equal(add(add(X_16,n1),add(n1,multiply(n1,n1))),add(add(X_16,n1),add(n1,n1))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
add(inverse(n1),n1) = add(add(X_16,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(X_16,n1),add(n1,multiply(n1,n1)))) )],[refute_0_295,refute_0_338]) ).
cnf(refute_0_340,plain,
add(inverse(n1),n1) = add(add(X_80,n1),add(n1,n1)),
inference(subst,[],[refute_0_339:[bind(X_16,$fot(X_80))]]) ).
cnf(refute_0_341,plain,
( add(inverse(n1),n1) != add(add(X_80,n1),add(n1,n1))
| add(add(X_80,n1),add(n1,n1)) = add(inverse(n1),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(inverse(n1),n1))),bind(Y0,$fot(add(add(X_80,n1),add(n1,n1))))]]) ).
cnf(refute_0_342,plain,
add(add(X_80,n1),add(n1,n1)) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(X_80,n1),add(n1,n1))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(add(X_80,n1),add(n1,n1))),add(n1,n1)))
| add(add(X_80,n1),add(n1,n1)) != add(inverse(n1),n1)
| multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(add(X_80,n1),add(n1,n1))),add(n1,n1)))) ),[1,1,0,0],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_344,plain,
( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(add(X_80,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( $equal(add(add(X_80,n1),add(n1,n1)),add(inverse(n1),n1)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(add(n1,n1),n1) = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(add(X_80,n1),add(n1,n1))),add(n1,n1)))) )],[refute_0_148,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(add(n1,n1),n1) = n1,
inference(subst,[],[multiply_add:[bind(X,$fot(n1)),bind(Y,$fot(n1))]]) ).
cnf(refute_0_347,plain,
( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
| multiply(add(n1,n1),n1) != n1
| n1 = add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) ),
introduced(tautology,[equality,[$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_348,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( $equal(multiply(add(n1,n1),n1),n1) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(add(X_79,n1),add(n1,Z)) = add(multiply(n1,add(X_79,n1)),multiply(Z,add(X_79,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(add(X_79,n1))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_350,plain,
multiply(n1,add(X,n1)) = add(n1,multiply(n1,n1)),
inference(subst,[],[refute_0_181:[bind(X_22,$fot(n1))]]) ).
cnf(refute_0_351,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_352,plain,
( multiply(n1,add(X,n1)) != add(n1,multiply(n1,n1))
| multiply(n1,add(X,n1)) = add(n1,n1) ),
inference(resolve,[$cnf( $equal(add(n1,multiply(n1,n1)),add(n1,n1)) )],[refute_0_332,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(n1,add(X,n1)) = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),add(n1,multiply(n1,n1))) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(n1,add(X_79,n1)) = add(n1,n1),
inference(subst,[],[refute_0_353:[bind(X,$fot(X_79))]]) ).
cnf(refute_0_355,plain,
( multiply(add(X_79,n1),add(n1,Z)) != add(multiply(n1,add(X_79,n1)),multiply(Z,add(X_79,n1)))
| multiply(n1,add(X_79,n1)) != add(n1,n1)
| multiply(add(X_79,n1),add(n1,Z)) = add(add(n1,n1),multiply(Z,add(X_79,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_79,n1),add(n1,Z)),add(multiply(n1,add(X_79,n1)),multiply(Z,add(X_79,n1)))) ),[1,0],$fot(add(n1,n1))]]) ).
cnf(refute_0_356,plain,
( multiply(add(X_79,n1),add(n1,Z)) != add(multiply(n1,add(X_79,n1)),multiply(Z,add(X_79,n1)))
| multiply(add(X_79,n1),add(n1,Z)) = add(add(n1,n1),multiply(Z,add(X_79,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_79,n1)),add(n1,n1)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(add(X_79,n1),add(n1,Z)) = add(add(n1,n1),multiply(Z,add(X_79,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_79,n1),add(n1,Z)),add(multiply(n1,add(X_79,n1)),multiply(Z,add(X_79,n1)))) )],[refute_0_349,refute_0_356]) ).
cnf(refute_0_358,plain,
( multiply(add(X_79,n1),add(n1,Z)) != add(add(n1,n1),multiply(Z,add(X_79,n1)))
| add(add(n1,n1),multiply(Z,add(X_79,n1))) = multiply(add(X_79,n1),add(n1,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(add(X_79,n1),add(n1,Z)))),bind(Y0,$fot(add(add(n1,n1),multiply(Z,add(X_79,n1)))))]]) ).
cnf(refute_0_359,plain,
add(add(n1,n1),multiply(Z,add(X_79,n1))) = multiply(add(X_79,n1),add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_79,n1),add(n1,Z)),add(add(n1,n1),multiply(Z,add(X_79,n1)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))),
inference(subst,[],[refute_0_359:[bind(Z,$fot(inverse(add(inverse(n1),n1)))),bind(X_79,$fot(n1))]]) ).
cnf(refute_0_361,plain,
( add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))) != multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))
| n1 != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
| n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) ),
introduced(tautology,[equality,[$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_362,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( $equal(add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( multiply(add(n1,n1),n1) != add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))
| n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) ),
inference(resolve,[$cnf( $equal(n1,add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))) )],[refute_0_348,refute_0_362]) ).
cnf(refute_0_364,plain,
n1 = multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),n1),add(add(n1,n1),multiply(inverse(add(inverse(n1),n1)),add(n1,n1)))) )],[refute_0_345,refute_0_363]) ).
cnf(refute_0_365,plain,
( n1 != multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))
| multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) = n1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(n1)),bind(Y0,$fot(multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))))]]) ).
cnf(refute_0_366,plain,
multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) = n1,
inference(resolve,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1))))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
( multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))) != n1
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(multiply(n1,inverse(add(inverse(n1),n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))))
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(multiply(n1,inverse(add(inverse(n1),n1))),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(multiply(n1,inverse(add(inverse(n1),n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_368,plain,
( pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(multiply(n1,inverse(add(inverse(n1),n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))))
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(multiply(n1,inverse(add(inverse(n1),n1))),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))),n1) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(multiply(n1,inverse(add(inverse(n1),n1))),n1),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(multiply(n1,inverse(add(inverse(n1),n1))),multiply(add(n1,n1),add(n1,inverse(add(inverse(n1),n1)))))) )],[refute_0_142,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(add(X_23,n1),add(X_66,n1)) = add(add(X_23,n1),multiply(n1,add(X_23,n1))),
inference(subst,[],[refute_0_181:[bind(X,$fot(X_66)),bind(X_22,$fot(add(X_23,n1)))]]) ).
cnf(refute_0_371,plain,
multiply(n1,add(X,n1)) = multiply(n1,add(X_23,n1)),
inference(subst,[],[refute_0_176:[bind(X_22,$fot(n1))]]) ).
cnf(refute_0_372,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_3:[bind(X0,$fot(multiply(n1,add(X,n1)))),bind(Y0,$fot(multiply(n1,add(X_23,n1))))]]) ).
cnf(refute_0_373,plain,
multiply(n1,add(X_23,n1)) = multiply(n1,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),multiply(n1,add(X_23,n1))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( multiply(add(X_23,n1),add(X_66,n1)) != add(add(X_23,n1),multiply(n1,add(X_23,n1)))
| multiply(n1,add(X_23,n1)) != multiply(n1,add(X,n1))
| multiply(add(X_23,n1),add(X_66,n1)) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_23,n1),add(X_66,n1)),add(add(X_23,n1),multiply(n1,add(X_23,n1)))) ),[1,1],$fot(multiply(n1,add(X,n1)))]]) ).
cnf(refute_0_375,plain,
( multiply(add(X_23,n1),add(X_66,n1)) != add(add(X_23,n1),multiply(n1,add(X_23,n1)))
| multiply(add(X_23,n1),add(X_66,n1)) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_23,n1)),multiply(n1,add(X,n1))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
multiply(add(X_23,n1),add(X_66,n1)) = add(add(X_23,n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_23,n1),add(X_66,n1)),add(add(X_23,n1),multiply(n1,add(X_23,n1)))) )],[refute_0_370,refute_0_375]) ).
cnf(refute_0_377,plain,
multiply(add(X_23,n1),add(X_66,n1)) = add(X_66,n1),
inference(subst,[],[refute_0_278:[bind(X,$fot(X_66)),bind(X_27,$fot(X_23))]]) ).
cnf(refute_0_378,plain,
( multiply(add(X_23,n1),add(X_66,n1)) != add(X_66,n1)
| multiply(add(X_23,n1),add(X_66,n1)) != add(add(X_23,n1),multiply(n1,add(X,n1)))
| add(X_66,n1) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_23,n1),add(X_66,n1)),add(add(X_23,n1),multiply(n1,add(X,n1)))) ),[0],$fot(add(X_66,n1))]]) ).
cnf(refute_0_379,plain,
( multiply(add(X_23,n1),add(X_66,n1)) != add(add(X_23,n1),multiply(n1,add(X,n1)))
| add(X_66,n1) = add(add(X_23,n1),multiply(n1,add(X,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_23,n1),add(X_66,n1)),add(X_66,n1)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
add(X_66,n1) = add(add(X_23,n1),multiply(n1,add(X,n1))),
inference(resolve,[$cnf( $equal(multiply(add(X_23,n1),add(X_66,n1)),add(add(X_23,n1),multiply(n1,add(X,n1)))) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
add(inverse(n1),n1) = add(add(inverse(n1),n1),multiply(n1,add(X_78,n1))),
inference(subst,[],[refute_0_287:[bind(X,$fot(X_78))]]) ).
cnf(refute_0_382,plain,
( add(inverse(n1),n1) != add(X,n1)
| add(inverse(n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(X_78,n1)))
| add(inverse(n1),n1) = add(add(X,n1),multiply(n1,add(X_78,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(X_78,n1)))) ),[1,0],$fot(add(X,n1))]]) ).
cnf(refute_0_383,plain,
( add(inverse(n1),n1) != add(add(inverse(n1),n1),multiply(n1,add(X_78,n1)))
| add(inverse(n1),n1) = add(add(X,n1),multiply(n1,add(X_78,n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_98,refute_0_382]) ).
cnf(refute_0_384,plain,
add(inverse(n1),n1) = add(add(X,n1),multiply(n1,add(X_78,n1))),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(inverse(n1),n1),multiply(n1,add(X_78,n1)))) )],[refute_0_381,refute_0_383]) ).
cnf(refute_0_385,plain,
( add(inverse(n1),n1) != add(add(X,n1),multiply(n1,add(X_78,n1)))
| add(add(X,n1),multiply(n1,add(X_78,n1))) = add(inverse(n1),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(inverse(n1),n1))),bind(Y0,$fot(add(add(X,n1),multiply(n1,add(X_78,n1)))))]]) ).
cnf(refute_0_386,plain,
add(add(X,n1),multiply(n1,add(X_78,n1))) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(add(X,n1),multiply(n1,add(X_78,n1)))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
add(add(X_23,n1),multiply(n1,add(X,n1))) = add(inverse(n1),n1),
inference(subst,[],[refute_0_386:[bind(X,$fot(X_23)),bind(X_78,$fot(X))]]) ).
cnf(refute_0_388,plain,
( add(X_66,n1) != add(add(X_23,n1),multiply(n1,add(X,n1)))
| add(add(X_23,n1),multiply(n1,add(X,n1))) != add(inverse(n1),n1)
| add(X_66,n1) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_66,n1),add(inverse(n1),n1)) ),[0],$fot(add(add(X_23,n1),multiply(n1,add(X,n1))))]]) ).
cnf(refute_0_389,plain,
( add(X_66,n1) != add(add(X_23,n1),multiply(n1,add(X,n1)))
| add(X_66,n1) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(add(X_23,n1),multiply(n1,add(X,n1))),add(inverse(n1),n1)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
add(X_66,n1) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(X_66,n1),add(add(X_23,n1),multiply(n1,add(X,n1)))) )],[refute_0_380,refute_0_389]) ).
cnf(refute_0_391,plain,
add(multiply(n1,inverse(add(inverse(n1),n1))),n1) = add(inverse(n1),n1),
inference(subst,[],[refute_0_390:[bind(X_66,$fot(multiply(n1,inverse(add(inverse(n1),n1)))))]]) ).
cnf(refute_0_392,plain,
( add(multiply(n1,inverse(add(inverse(n1),n1))),n1) != add(inverse(n1),n1)
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(multiply(n1,inverse(add(inverse(n1),n1))),n1)
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(multiply(n1,inverse(add(inverse(n1),n1))),n1)) ),[1],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_393,plain,
( pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(multiply(n1,inverse(add(inverse(n1),n1))),n1)
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(multiply(n1,inverse(add(inverse(n1),n1))),n1),add(inverse(n1),n1)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
pixley(n1,add(inverse(n1),n1),add(n1,n1)) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(multiply(n1,inverse(add(inverse(n1),n1))),n1)) )],[refute_0_369,refute_0_393]) ).
cnf(refute_0_395,plain,
add(X,n1) = add(n1,n1),
inference(subst,[],[refute_0_166:[bind(X_16,$fot(n1))]]) ).
cnf(refute_0_396,plain,
( add(X,n1) != add(n1,n1)
| add(n1,n1) = add(X,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(X,n1))),bind(Y0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_397,plain,
add(n1,n1) = add(X,n1),
inference(resolve,[$cnf( $equal(add(X,n1),add(n1,n1)) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
( add(n1,n1) != add(X,n1)
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(inverse(n1),n1)
| pixley(n1,add(inverse(n1),n1),add(X,n1)) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(inverse(n1),n1)) ),[0,2],$fot(add(X,n1))]]) ).
cnf(refute_0_399,plain,
( pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(inverse(n1),n1)
| pixley(n1,add(inverse(n1),n1),add(X,n1)) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(n1,n1),add(X,n1)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
pixley(n1,add(inverse(n1),n1),add(X,n1)) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(inverse(n1),n1)) )],[refute_0_394,refute_0_399]) ).
cnf(refute_0_401,plain,
pixley(n1,n1,add(X,n1)) = add(X,n1),
inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(add(X,n1)))]]) ).
cnf(refute_0_402,plain,
( add(inverse(n1),n1) != add(X,n1)
| pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(inverse(n1),n1)
| pixley(n1,add(X,n1),add(n1,n1)) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(inverse(n1),n1)) ),[0,1],$fot(add(X,n1))]]) ).
cnf(refute_0_403,plain,
( pixley(n1,add(inverse(n1),n1),add(n1,n1)) != add(inverse(n1),n1)
| pixley(n1,add(X,n1),add(n1,n1)) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),add(X,n1)) )],[refute_0_98,refute_0_402]) ).
cnf(refute_0_404,plain,
pixley(n1,add(X,n1),add(n1,n1)) = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(n1,n1)),add(inverse(n1),n1)) )],[refute_0_394,refute_0_403]) ).
cnf(refute_0_405,plain,
pixley(n1,add(X,n1),n1) = n1,
inference(subst,[],[pixley3:[bind(X,$fot(n1)),bind(Y,$fot(add(X,n1)))]]) ).
cnf(refute_0_406,plain,
multiply(add(n1,n1),add(n1,multiply(n1,n1))) = multiply(add(n1,n1),add(n1,n1)),
inference(subst,[],[refute_0_90:[bind(Y,$fot(n1)),bind(X_36,$fot(n1))]]) ).
cnf(refute_0_407,plain,
( multiply(n1,add(X,n1)) != add(n1,multiply(n1,n1))
| add(n1,multiply(n1,n1)) = multiply(n1,add(X,n1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(n1,add(X,n1)))),bind(Y0,$fot(add(n1,multiply(n1,n1))))]]) ).
cnf(refute_0_408,plain,
add(n1,multiply(n1,n1)) = multiply(n1,add(X,n1)),
inference(resolve,[$cnf( $equal(multiply(n1,add(X,n1)),add(n1,multiply(n1,n1))) )],[refute_0_350,refute_0_407]) ).
cnf(refute_0_409,plain,
( multiply(add(n1,n1),add(n1,multiply(n1,n1))) != multiply(add(n1,n1),add(n1,n1))
| add(n1,multiply(n1,n1)) != multiply(n1,add(X,n1))
| multiply(add(n1,n1),multiply(n1,add(X,n1))) = multiply(add(n1,n1),add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),add(n1,multiply(n1,n1))),multiply(add(n1,n1),add(n1,n1))) ),[0,1],$fot(multiply(n1,add(X,n1)))]]) ).
cnf(refute_0_410,plain,
( multiply(add(n1,n1),add(n1,multiply(n1,n1))) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),multiply(n1,add(X,n1))) = multiply(add(n1,n1),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(add(n1,multiply(n1,n1)),multiply(n1,add(X,n1))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(add(n1,n1),multiply(n1,add(X,n1))) = multiply(add(n1,n1),add(n1,n1)),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,multiply(n1,n1))),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_406,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(add(X_122,X_122),add(multiply(Y,n1),multiply(X_122,n1))) = multiply(add(X_122,X_122),add(multiply(Y,n1),n1)),
inference(subst,[],[refute_0_90:[bind(Y,$fot(multiply(Y,n1))),bind(X_36,$fot(X_122))]]) ).
cnf(refute_0_413,plain,
multiply(n1,add(Y,X_122)) = add(multiply(Y,n1),multiply(X_122,n1)),
inference(subst,[],[multiply_add_property:[bind(X,$fot(n1)),bind(Z,$fot(X_122))]]) ).
cnf(refute_0_414,plain,
( multiply(n1,add(Y,X_122)) != add(multiply(Y,n1),multiply(X_122,n1))
| add(multiply(Y,n1),multiply(X_122,n1)) = multiply(n1,add(Y,X_122)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(n1,add(Y,X_122)))),bind(Y0,$fot(add(multiply(Y,n1),multiply(X_122,n1))))]]) ).
cnf(refute_0_415,plain,
add(multiply(Y,n1),multiply(X_122,n1)) = multiply(n1,add(Y,X_122)),
inference(resolve,[$cnf( $equal(multiply(n1,add(Y,X_122)),add(multiply(Y,n1),multiply(X_122,n1))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
( multiply(add(X_122,X_122),add(multiply(Y,n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(multiply(Y,n1),n1))
| add(multiply(Y,n1),multiply(X_122,n1)) != multiply(n1,add(Y,X_122))
| multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) = multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(Y,n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(multiply(Y,n1),n1))) ),[0,1],$fot(multiply(n1,add(Y,X_122)))]]) ).
cnf(refute_0_417,plain,
( multiply(add(X_122,X_122),add(multiply(Y,n1),multiply(X_122,n1))) != multiply(add(X_122,X_122),add(multiply(Y,n1),n1))
| multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) = multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,n1),multiply(X_122,n1)),multiply(n1,add(Y,X_122))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) = multiply(add(X_122,X_122),add(multiply(Y,n1),n1)),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(Y,n1),multiply(X_122,n1))),multiply(add(X_122,X_122),add(multiply(Y,n1),n1))) )],[refute_0_412,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) = multiply(add(X_122,X_122),add(inverse(n1),n1)),
inference(subst,[],[refute_0_128:[bind(X,$fot(multiply(Y,n1))),bind(X_22,$fot(add(X_122,X_122)))]]) ).
cnf(refute_0_420,plain,
( multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) != multiply(add(X_122,X_122),add(inverse(n1),n1))
| multiply(add(X_122,X_122),add(inverse(n1),n1)) != X_122
| multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) = X_122 ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(add(X_122,X_122),add(multiply(Y,n1),n1)))),bind(Y0,$fot(multiply(add(X_122,X_122),add(inverse(n1),n1)))),bind(Z0,$fot(X_122))]]) ).
cnf(refute_0_421,plain,
( multiply(add(X_122,X_122),add(inverse(n1),n1)) != X_122
| multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) = X_122 ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(Y,n1),n1)),multiply(add(X_122,X_122),add(inverse(n1),n1))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) = X_122,
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(inverse(n1),n1)),X_122) )],[refute_0_135,refute_0_421]) ).
cnf(refute_0_423,plain,
( multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) != multiply(add(X_122,X_122),add(multiply(Y,n1),n1))
| multiply(add(X_122,X_122),add(multiply(Y,n1),n1)) != X_122
| multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) = X_122 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))),X_122) ),[0],$fot(multiply(add(X_122,X_122),add(multiply(Y,n1),n1)))]]) ).
cnf(refute_0_424,plain,
( multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) != multiply(add(X_122,X_122),add(multiply(Y,n1),n1))
| multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) = X_122 ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(multiply(Y,n1),n1)),X_122) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))) = X_122,
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),multiply(n1,add(Y,X_122))),multiply(add(X_122,X_122),add(multiply(Y,n1),n1))) )],[refute_0_418,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(add(n1,n1),multiply(n1,add(X,n1))) = n1,
inference(subst,[],[refute_0_425:[bind(Y,$fot(X)),bind(X_122,$fot(n1))]]) ).
cnf(refute_0_427,plain,
( multiply(add(n1,n1),multiply(n1,add(X,n1))) != multiply(add(n1,n1),add(n1,n1))
| multiply(add(n1,n1),multiply(n1,add(X,n1))) != n1
| n1 = multiply(add(n1,n1),add(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(X,n1))),multiply(add(n1,n1),add(n1,n1))) ),[0],$fot(n1)]]) ).
cnf(refute_0_428,plain,
( multiply(add(n1,n1),multiply(n1,add(X,n1))) != multiply(add(n1,n1),add(n1,n1))
| n1 = multiply(add(n1,n1),add(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(X,n1))),n1) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(add(n1,n1),add(n1,n1)) = add(n1,n1),
inference(subst,[],[refute_0_278:[bind(X,$fot(n1)),bind(X_27,$fot(n1))]]) ).
cnf(refute_0_430,plain,
( multiply(add(n1,n1),add(n1,n1)) != add(n1,n1)
| n1 != multiply(add(n1,n1),add(n1,n1))
| n1 = add(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,n1))) ),[1],$fot(add(n1,n1))]]) ).
cnf(refute_0_431,plain,
( n1 != multiply(add(n1,n1),add(n1,n1))
| n1 = add(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),add(n1,n1)),add(n1,n1)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( multiply(add(n1,n1),multiply(n1,add(X,n1))) != multiply(add(n1,n1),add(n1,n1))
| n1 = add(n1,n1) ),
inference(resolve,[$cnf( $equal(n1,multiply(add(n1,n1),add(n1,n1))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
n1 = add(n1,n1),
inference(resolve,[$cnf( $equal(multiply(add(n1,n1),multiply(n1,add(X,n1))),multiply(add(n1,n1),add(n1,n1))) )],[refute_0_411,refute_0_432]) ).
cnf(refute_0_434,plain,
( n1 != add(n1,n1)
| add(n1,n1) = n1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(n1)),bind(Y0,$fot(add(n1,n1)))]]) ).
cnf(refute_0_435,plain,
add(n1,n1) = n1,
inference(resolve,[$cnf( $equal(n1,add(n1,n1)) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
pixley(n1,add(X,n1),add(n1,n1)) = pixley(n1,add(X,n1),add(n1,n1)),
introduced(tautology,[refl,[$fot(pixley(n1,add(X,n1),add(n1,n1)))]]) ).
cnf(refute_0_437,plain,
( add(n1,n1) != n1
| pixley(n1,add(X,n1),add(n1,n1)) != pixley(n1,add(X,n1),add(n1,n1))
| pixley(n1,add(X,n1),add(n1,n1)) = pixley(n1,add(X,n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X,n1),add(n1,n1)),pixley(n1,add(X,n1),add(n1,n1))) ),[1,2],$fot(n1)]]) ).
cnf(refute_0_438,plain,
( add(n1,n1) != n1
| pixley(n1,add(X,n1),add(n1,n1)) = pixley(n1,add(X,n1),n1) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(X,n1),add(n1,n1)),pixley(n1,add(X,n1),add(n1,n1))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
pixley(n1,add(X,n1),add(n1,n1)) = pixley(n1,add(X,n1),n1),
inference(resolve,[$cnf( $equal(add(n1,n1),n1) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( pixley(n1,add(X,n1),add(n1,n1)) != pixley(n1,add(X,n1),n1)
| pixley(n1,add(X,n1),n1) != n1
| pixley(n1,add(X,n1),add(n1,n1)) = n1 ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(pixley(n1,add(X,n1),add(n1,n1)))),bind(Y0,$fot(pixley(n1,add(X,n1),n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_441,plain,
( pixley(n1,add(X,n1),n1) != n1
| pixley(n1,add(X,n1),add(n1,n1)) = n1 ),
inference(resolve,[$cnf( $equal(pixley(n1,add(X,n1),add(n1,n1)),pixley(n1,add(X,n1),n1)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
pixley(n1,add(X,n1),add(n1,n1)) = n1,
inference(resolve,[$cnf( $equal(pixley(n1,add(X,n1),n1),n1) )],[refute_0_405,refute_0_441]) ).
cnf(refute_0_443,plain,
( pixley(n1,add(X,n1),add(n1,n1)) != add(inverse(n1),n1)
| pixley(n1,add(X,n1),add(n1,n1)) != n1
| n1 = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(X,n1),add(n1,n1)),add(inverse(n1),n1)) ),[0],$fot(n1)]]) ).
cnf(refute_0_444,plain,
( pixley(n1,add(X,n1),add(n1,n1)) != add(inverse(n1),n1)
| n1 = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(X,n1),add(n1,n1)),n1) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
n1 = add(inverse(n1),n1),
inference(resolve,[$cnf( $equal(pixley(n1,add(X,n1),add(n1,n1)),add(inverse(n1),n1)) )],[refute_0_404,refute_0_444]) ).
cnf(refute_0_446,plain,
( n1 != add(inverse(n1),n1)
| add(inverse(n1),n1) = n1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(n1)),bind(Y0,$fot(add(inverse(n1),n1)))]]) ).
cnf(refute_0_447,plain,
add(inverse(n1),n1) = n1,
inference(resolve,[$cnf( $equal(n1,add(inverse(n1),n1)) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
pixley(n1,add(inverse(n1),n1),add(X,n1)) = pixley(n1,add(inverse(n1),n1),add(X,n1)),
introduced(tautology,[refl,[$fot(pixley(n1,add(inverse(n1),n1),add(X,n1)))]]) ).
cnf(refute_0_449,plain,
( add(inverse(n1),n1) != n1
| pixley(n1,add(inverse(n1),n1),add(X,n1)) != pixley(n1,add(inverse(n1),n1),add(X,n1))
| pixley(n1,add(inverse(n1),n1),add(X,n1)) = pixley(n1,n1,add(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(X,n1)),pixley(n1,add(inverse(n1),n1),add(X,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_450,plain,
( add(inverse(n1),n1) != n1
| pixley(n1,add(inverse(n1),n1),add(X,n1)) = pixley(n1,n1,add(X,n1)) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(X,n1)),pixley(n1,add(inverse(n1),n1),add(X,n1))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
pixley(n1,add(inverse(n1),n1),add(X,n1)) = pixley(n1,n1,add(X,n1)),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
( pixley(n1,add(inverse(n1),n1),add(X,n1)) != pixley(n1,n1,add(X,n1))
| pixley(n1,n1,add(X,n1)) != add(X,n1)
| pixley(n1,add(inverse(n1),n1),add(X,n1)) = add(X,n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(pixley(n1,add(inverse(n1),n1),add(X,n1)))),bind(Y0,$fot(pixley(n1,n1,add(X,n1)))),bind(Z0,$fot(add(X,n1)))]]) ).
cnf(refute_0_453,plain,
( pixley(n1,n1,add(X,n1)) != add(X,n1)
| pixley(n1,add(inverse(n1),n1),add(X,n1)) = add(X,n1) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(X,n1)),pixley(n1,n1,add(X,n1))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
pixley(n1,add(inverse(n1),n1),add(X,n1)) = add(X,n1),
inference(resolve,[$cnf( $equal(pixley(n1,n1,add(X,n1)),add(X,n1)) )],[refute_0_401,refute_0_453]) ).
cnf(refute_0_455,plain,
( pixley(n1,add(inverse(n1),n1),add(X,n1)) != add(X,n1)
| pixley(n1,add(inverse(n1),n1),add(X,n1)) != add(inverse(n1),n1)
| add(X,n1) = add(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(X,n1)),add(inverse(n1),n1)) ),[0],$fot(add(X,n1))]]) ).
cnf(refute_0_456,plain,
( pixley(n1,add(inverse(n1),n1),add(X,n1)) != add(inverse(n1),n1)
| add(X,n1) = add(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(X,n1)),add(X,n1)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( add(X,n1) != add(inverse(n1),n1)
| add(inverse(n1),n1) != n1
| add(X,n1) = n1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,n1),n1) ),[0],$fot(add(inverse(n1),n1))]]) ).
cnf(refute_0_458,plain,
( add(X,n1) != add(inverse(n1),n1)
| add(X,n1) = n1 ),
inference(resolve,[$cnf( $equal(add(inverse(n1),n1),n1) )],[refute_0_447,refute_0_457]) ).
cnf(refute_0_459,plain,
( pixley(n1,add(inverse(n1),n1),add(X,n1)) != add(inverse(n1),n1)
| add(X,n1) = n1 ),
inference(resolve,[$cnf( $equal(add(X,n1),add(inverse(n1),n1)) )],[refute_0_456,refute_0_458]) ).
cnf(refute_0_460,plain,
add(X,n1) = n1,
inference(resolve,[$cnf( $equal(pixley(n1,add(inverse(n1),n1),add(X,n1)),add(inverse(n1),n1)) )],[refute_0_400,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(add(X_122,X_122),add(X,n1)) = multiply(add(X_122,X_122),add(X,n1)),
introduced(tautology,[refl,[$fot(multiply(add(X_122,X_122),add(X,n1)))]]) ).
cnf(refute_0_462,plain,
( multiply(add(X_122,X_122),add(X,n1)) != multiply(add(X_122,X_122),add(X,n1))
| add(X,n1) != n1
| multiply(add(X_122,X_122),add(X,n1)) = multiply(add(X_122,X_122),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),add(X,n1)),multiply(add(X_122,X_122),add(X,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_463,plain,
( add(X,n1) != n1
| multiply(add(X_122,X_122),add(X,n1)) = multiply(add(X_122,X_122),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(X,n1)),multiply(add(X_122,X_122),add(X,n1))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(add(X_122,X_122),add(X,n1)) = multiply(add(X_122,X_122),n1),
inference(resolve,[$cnf( $equal(add(X,n1),n1) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( X_122 != multiply(add(X_122,X_122),add(X,n1))
| multiply(add(X_122,X_122),add(X,n1)) != multiply(add(X_122,X_122),n1)
| X_122 = multiply(add(X_122,X_122),n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_122,multiply(add(X_122,X_122),n1)) ),[0],$fot(multiply(add(X_122,X_122),add(X,n1)))]]) ).
cnf(refute_0_466,plain,
( X_122 != multiply(add(X_122,X_122),add(X,n1))
| X_122 = multiply(add(X_122,X_122),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(X,n1)),multiply(add(X_122,X_122),n1)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
X_122 = multiply(add(X_122,X_122),n1),
inference(resolve,[$cnf( $equal(X_122,multiply(add(X_122,X_122),add(X,n1))) )],[refute_0_141,refute_0_466]) ).
cnf(refute_0_468,plain,
X_125 = multiply(add(X_125,X_125),n1),
inference(subst,[],[refute_0_467:[bind(X_122,$fot(X_125))]]) ).
cnf(refute_0_469,plain,
( X_125 != multiply(add(X_125,X_125),n1)
| multiply(add(X_125,X_125),n1) = X_125 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_125)),bind(Y0,$fot(multiply(add(X_125,X_125),n1)))]]) ).
cnf(refute_0_470,plain,
multiply(add(X_125,X_125),n1) = X_125,
inference(resolve,[$cnf( $equal(X_125,multiply(add(X_125,X_125),n1)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
( multiply(add(X_125,X_125),n1) != X_125
| add(X_125,X_125) != add(inverse(n1),multiply(add(X_125,X_125),n1))
| add(X_125,X_125) = add(inverse(n1),X_125) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_125,X_125),add(inverse(n1),multiply(add(X_125,X_125),n1))) ),[1,1],$fot(X_125)]]) ).
cnf(refute_0_472,plain,
( add(X_125,X_125) != add(inverse(n1),multiply(add(X_125,X_125),n1))
| add(X_125,X_125) = add(inverse(n1),X_125) ),
inference(resolve,[$cnf( $equal(multiply(add(X_125,X_125),n1),X_125) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
add(X_125,X_125) = add(inverse(n1),X_125),
inference(resolve,[$cnf( $equal(add(X_125,X_125),add(inverse(n1),multiply(add(X_125,X_125),n1))) )],[refute_0_44,refute_0_472]) ).
cnf(refute_0_474,plain,
add(inverse(X_146),inverse(X_146)) = add(inverse(n1),inverse(X_146)),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(inverse(X_146)))]]) ).
cnf(refute_0_475,plain,
( add(inverse(X_146),inverse(X_146)) != add(inverse(n1),inverse(X_146))
| add(inverse(n1),inverse(X_146)) = add(inverse(X_146),inverse(X_146)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(inverse(X_146),inverse(X_146)))),bind(Y0,$fot(add(inverse(n1),inverse(X_146))))]]) ).
cnf(refute_0_476,plain,
add(inverse(n1),inverse(X_146)) = add(inverse(X_146),inverse(X_146)),
inference(resolve,[$cnf( $equal(add(inverse(X_146),inverse(X_146)),add(inverse(n1),inverse(X_146))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( multiply(inverse(n1),multiply(X_146,add(inverse(n1),inverse(X_146)))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| add(inverse(n1),inverse(X_146)) != add(inverse(X_146),inverse(X_146))
| multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(X_146,add(inverse(n1),inverse(X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(n1),inverse(X_146)))),multiply(X_146,add(inverse(n1),inverse(X_146)))) ),[0,1,1],$fot(add(inverse(X_146),inverse(X_146)))]]) ).
cnf(refute_0_478,plain,
( multiply(inverse(n1),multiply(X_146,add(inverse(n1),inverse(X_146)))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(X_146,add(inverse(n1),inverse(X_146))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(X_146)),add(inverse(X_146),inverse(X_146))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(X_146,add(inverse(n1),inverse(X_146))),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(n1),inverse(X_146)))),multiply(X_146,add(inverse(n1),inverse(X_146)))) )],[refute_0_25,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),add(X_23,n1)),
inference(subst,[],[refute_0_176:[bind(X_22,$fot(inverse(X_23)))]]) ).
cnf(refute_0_481,plain,
multiply(inverse(X_23),add(X_23,n1)) = add(inverse(X_23),inverse(X_23)),
inference(subst,[],[refute_0_190:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_482,plain,
( multiply(inverse(X_23),add(X,n1)) != multiply(inverse(X_23),add(X_23,n1))
| multiply(inverse(X_23),add(X_23,n1)) != add(inverse(X_23),inverse(X_23))
| multiply(inverse(X_23),add(X,n1)) = add(inverse(X_23),inverse(X_23)) ),
introduced(tautology,[equality,[$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_483,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( $equal(multiply(inverse(X_23),add(X_23,n1)),add(inverse(X_23),inverse(X_23))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(inverse(X_23),add(X,n1)) = add(inverse(X_23),inverse(X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),add(X_23,n1))) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),add(X,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_23),add(X,n1)))]]) ).
cnf(refute_0_486,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_487,plain,
( add(X,n1) != n1
| multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),add(X,n1))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(inverse(X_23),add(X,n1)) = multiply(inverse(X_23),n1),
inference(resolve,[$cnf( $equal(add(X,n1),n1) )],[refute_0_460,refute_0_487]) ).
cnf(refute_0_489,plain,
( multiply(inverse(X_23),add(X,n1)) != multiply(inverse(X_23),n1)
| multiply(inverse(X_23),add(X,n1)) != add(inverse(X_23),inverse(X_23))
| multiply(inverse(X_23),n1) = add(inverse(X_23),inverse(X_23)) ),
introduced(tautology,[equality,[$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_490,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( $equal(multiply(inverse(X_23),add(X,n1)),multiply(inverse(X_23),n1)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(inverse(X_23),n1) = add(inverse(X_23),inverse(X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),add(X,n1)),add(inverse(X_23),inverse(X_23))) )],[refute_0_484,refute_0_490]) ).
cnf(refute_0_492,plain,
pixley(add(X,inverse(X_11)),X_11,X_12) = add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(add(X,inverse(X_11)))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_493,plain,
multiply(add(X,inverse(X_11)),inverse(X_11)) = inverse(X_11),
inference(subst,[],[multiply_add:[bind(Y,$fot(inverse(X_11)))]]) ).
cnf(refute_0_494,plain,
( multiply(add(X,inverse(X_11)),inverse(X_11)) != inverse(X_11)
| pixley(add(X,inverse(X_11)),X_11,X_12) != add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))
| pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))) ),
introduced(tautology,[equality,[$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_495,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( $equal(multiply(add(X,inverse(X_11)),inverse(X_11)),inverse(X_11)) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
pixley(add(X,inverse(X_11)),X_11,X_12) = add(inverse(X_11),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11)))),
inference(resolve,[$cnf( $equal(pixley(add(X,inverse(X_11)),X_11,X_12),add(multiply(add(X,inverse(X_11)),inverse(X_11)),multiply(X_12,add(add(X,inverse(X_11)),inverse(X_11))))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = add(inverse(X_51),multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51)))),
inference(subst,[],[refute_0_496:[bind(X,$fot(X_50)),bind(X_11,$fot(X_51)),bind(X_12,$fot(inverse(X_51)))]]) ).
cnf(refute_0_498,plain,
multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))) = add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))),
inference(subst,[],[refute_0_50:[bind(X,$fot(X_50)),bind(X_22,$fot(inverse(X_51))),bind(X_24,$fot(inverse(X_51)))]]) ).
cnf(refute_0_499,plain,
( multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))) != add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))
| pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) != add(inverse(X_51),multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))))
| pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)),add(inverse(X_51),multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))))) ),[1,1],$fot(add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))]]) ).
cnf(refute_0_500,plain,
( pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) != add(inverse(X_51),multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))))
| pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))),
inference(resolve,[$cnf( $equal(pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)),add(inverse(X_51),multiply(inverse(X_51),add(add(X_50,inverse(X_51)),inverse(X_51))))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
( pixley(n1,X_11,X_12) != add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11))))
| add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))) = pixley(n1,X_11,X_12) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(pixley(n1,X_11,X_12))),bind(Y0,$fot(add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11))))))]]) ).
cnf(refute_0_503,plain,
add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11)))) = pixley(n1,X_11,X_12),
inference(resolve,[$cnf( $equal(pixley(n1,X_11,X_12),add(inverse(X_11),multiply(X_12,add(n1,inverse(X_11))))) )],[refute_0_34,refute_0_502]) ).
cnf(refute_0_504,plain,
add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))) = pixley(n1,X_51,inverse(X_51)),
inference(subst,[],[refute_0_503:[bind(X_11,$fot(X_51)),bind(X_12,$fot(inverse(X_51)))]]) ).
cnf(refute_0_505,plain,
multiply(inverse(X),add(n1,X_24)) = add(multiply(n1,inverse(X)),multiply(X_24,inverse(X))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(X))),bind(Y,$fot(n1)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_506,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_507,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( $equal(multiply(n1,inverse(X)),inverse(X)) )],[refute_0_30,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(inverse(X),add(n1,X_24)) = add(inverse(X),multiply(X_24,inverse(X))),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),add(multiply(n1,inverse(X)),multiply(X_24,inverse(X)))) )],[refute_0_505,refute_0_507]) ).
cnf(refute_0_509,plain,
( multiply(inverse(X),add(n1,X_24)) != add(inverse(X),multiply(X_24,inverse(X)))
| add(inverse(X),multiply(X_24,inverse(X))) = multiply(inverse(X),add(n1,X_24)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X),add(n1,X_24)))),bind(Y0,$fot(add(inverse(X),multiply(X_24,inverse(X)))))]]) ).
cnf(refute_0_510,plain,
add(inverse(X),multiply(X_24,inverse(X))) = multiply(inverse(X),add(n1,X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),add(inverse(X),multiply(X_24,inverse(X)))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))) = multiply(inverse(X_51),add(n1,inverse(X_51))),
inference(subst,[],[refute_0_510:[bind(X,$fot(X_51)),bind(X_24,$fot(inverse(X_51)))]]) ).
cnf(refute_0_512,plain,
add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))),
introduced(tautology,[refl,[$fot(add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))))]]) ).
cnf(refute_0_513,plain,
( add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))) != multiply(inverse(X_51),add(n1,inverse(X_51)))
| add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) != add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))
| add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))),add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))) ),[1,1],$fot(multiply(inverse(X_51),add(n1,inverse(X_51))))]]) ).
cnf(refute_0_514,plain,
( add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))) != multiply(inverse(X_51),add(n1,inverse(X_51)))
| add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))),add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))),
inference(resolve,[$cnf( $equal(add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))),multiply(inverse(X_51),add(n1,inverse(X_51)))) )],[refute_0_511,refute_0_514]) ).
cnf(refute_0_516,plain,
( add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))) != pixley(n1,X_51,inverse(X_51))
| add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) != add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51))))
| add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = pixley(n1,X_51,inverse(X_51)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))))),bind(Y0,$fot(add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))))),bind(Z0,$fot(pixley(n1,X_51,inverse(X_51))))]]) ).
cnf(refute_0_517,plain,
( add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))) != pixley(n1,X_51,inverse(X_51))
| add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))),add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51))))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) = pixley(n1,X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(add(inverse(X_51),multiply(inverse(X_51),add(n1,inverse(X_51)))),pixley(n1,X_51,inverse(X_51))) )],[refute_0_504,refute_0_517]) ).
cnf(refute_0_519,plain,
( add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))) != pixley(n1,X_51,inverse(X_51))
| pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) != add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))
| pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)),add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))) ),[1],$fot(pixley(n1,X_51,inverse(X_51)))]]) ).
cnf(refute_0_520,plain,
( pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) != add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))
| pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51)))),pixley(n1,X_51,inverse(X_51))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(pixley(add(X_50,inverse(X_51)),X_51,inverse(X_51)),add(inverse(X_51),add(inverse(X_51),multiply(inverse(X_51),inverse(X_51))))) )],[refute_0_501,refute_0_520]) ).
cnf(refute_0_522,plain,
pixley(add(inverse(X_51),inverse(X_51)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)),
inference(subst,[],[refute_0_521:[bind(X_50,$fot(inverse(X_51)))]]) ).
cnf(refute_0_523,plain,
multiply(inverse(X_55),add(X,n1)) = multiply(inverse(X_55),add(n1,n1)),
inference(subst,[],[refute_0_176:[bind(X_22,$fot(inverse(X_55))),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_524,plain,
multiply(inverse(X_55),add(n1,n1)) = add(inverse(X_55),inverse(X_55)),
inference(subst,[],[refute_0_217:[bind(X,$fot(X_55))]]) ).
cnf(refute_0_525,plain,
( multiply(inverse(X_55),add(X,n1)) != multiply(inverse(X_55),add(n1,n1))
| multiply(inverse(X_55),add(n1,n1)) != add(inverse(X_55),inverse(X_55))
| multiply(inverse(X_55),add(X,n1)) = add(inverse(X_55),inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_55),add(X,n1)),add(inverse(X_55),inverse(X_55))) ),[0],$fot(multiply(inverse(X_55),add(n1,n1)))]]) ).
cnf(refute_0_526,plain,
( multiply(inverse(X_55),add(X,n1)) != multiply(inverse(X_55),add(n1,n1))
| multiply(inverse(X_55),add(X,n1)) = add(inverse(X_55),inverse(X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),add(n1,n1)),add(inverse(X_55),inverse(X_55))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(inverse(X_55),add(X,n1)) = add(inverse(X_55),inverse(X_55)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),add(X,n1)),multiply(inverse(X_55),add(n1,n1))) )],[refute_0_523,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(inverse(X_51),add(X_75,n1)) = add(inverse(X_51),inverse(X_51)),
inference(subst,[],[refute_0_527:[bind(X,$fot(X_75)),bind(X_55,$fot(X_51))]]) ).
cnf(refute_0_529,plain,
( multiply(inverse(X_51),add(X_75,n1)) != add(inverse(X_51),inverse(X_51))
| add(inverse(X_51),inverse(X_51)) = multiply(inverse(X_51),add(X_75,n1)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_51),add(X_75,n1)))),bind(Y0,$fot(add(inverse(X_51),inverse(X_51))))]]) ).
cnf(refute_0_530,plain,
add(inverse(X_51),inverse(X_51)) = multiply(inverse(X_51),add(X_75,n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),add(X_75,n1)),add(inverse(X_51),inverse(X_51))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
( add(inverse(X_51),inverse(X_51)) != multiply(inverse(X_51),add(X_75,n1))
| pixley(add(inverse(X_51),inverse(X_51)),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(X_51),inverse(X_51)),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) ),[0,0],$fot(multiply(inverse(X_51),add(X_75,n1)))]]) ).
cnf(refute_0_532,plain,
( pixley(add(inverse(X_51),inverse(X_51)),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_51),inverse(X_51)),multiply(inverse(X_51),add(X_75,n1))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(pixley(add(inverse(X_51),inverse(X_51)),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) )],[refute_0_522,refute_0_532]) ).
cnf(refute_0_534,plain,
add(X_75,n1) = n1,
inference(subst,[],[refute_0_460:[bind(X,$fot(X_75))]]) ).
cnf(refute_0_535,plain,
multiply(inverse(X_51),add(X_75,n1)) = multiply(inverse(X_51),add(X_75,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_51),add(X_75,n1)))]]) ).
cnf(refute_0_536,plain,
( multiply(inverse(X_51),add(X_75,n1)) != multiply(inverse(X_51),add(X_75,n1))
| add(X_75,n1) != n1
| multiply(inverse(X_51),add(X_75,n1)) = multiply(inverse(X_51),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_51),add(X_75,n1)),multiply(inverse(X_51),add(X_75,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_537,plain,
( add(X_75,n1) != n1
| multiply(inverse(X_51),add(X_75,n1)) = multiply(inverse(X_51),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),add(X_75,n1)),multiply(inverse(X_51),add(X_75,n1))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
multiply(inverse(X_51),add(X_75,n1)) = multiply(inverse(X_51),n1),
inference(resolve,[$cnf( $equal(add(X_75,n1),n1) )],[refute_0_534,refute_0_537]) ).
cnf(refute_0_539,plain,
pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)),
introduced(tautology,[refl,[$fot(pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)))]]) ).
cnf(refute_0_540,plain,
( multiply(inverse(X_51),add(X_75,n1)) != multiply(inverse(X_51),n1)
| pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) != pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51))
| pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)),pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51))) ),[1,0],$fot(multiply(inverse(X_51),n1))]]) ).
cnf(refute_0_541,plain,
( multiply(inverse(X_51),add(X_75,n1)) != multiply(inverse(X_51),n1)
| pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)),pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) = pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),add(X_75,n1)),multiply(inverse(X_51),n1)) )],[refute_0_538,refute_0_541]) ).
cnf(refute_0_543,plain,
( pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) != pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51))
| pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) ),[0],$fot(pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)))]]) ).
cnf(refute_0_544,plain,
( pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)),pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_51),add(X_75,n1)),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) )],[refute_0_533,refute_0_544]) ).
cnf(refute_0_546,plain,
add(X_23,n1) = n1,
inference(subst,[],[refute_0_460:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_547,plain,
multiply(inverse(X),add(X_23,n1)) = multiply(inverse(X),add(X_23,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(X),add(X_23,n1)))]]) ).
cnf(refute_0_548,plain,
( multiply(inverse(X),add(X_23,n1)) != multiply(inverse(X),add(X_23,n1))
| add(X_23,n1) != n1
| multiply(inverse(X),add(X_23,n1)) = multiply(inverse(X),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),multiply(inverse(X),add(X_23,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_549,plain,
( add(X_23,n1) != n1
| multiply(inverse(X),add(X_23,n1)) = multiply(inverse(X),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),multiply(inverse(X),add(X_23,n1))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(inverse(X),add(X_23,n1)) = multiply(inverse(X),n1),
inference(resolve,[$cnf( $equal(add(X_23,n1),n1) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
( multiply(inverse(X),add(X_23,n1)) != multiply(inverse(X),n1)
| multiply(inverse(X),add(X_23,n1)) != add(multiply(X_23,inverse(X)),inverse(X))
| multiply(inverse(X),n1) = add(multiply(X_23,inverse(X)),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),inverse(X))) ),[0],$fot(multiply(inverse(X),n1))]]) ).
cnf(refute_0_552,plain,
( multiply(inverse(X),add(X_23,n1)) != add(multiply(X_23,inverse(X)),inverse(X))
| multiply(inverse(X),n1) = add(multiply(X_23,inverse(X)),inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),multiply(inverse(X),n1)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(inverse(X),n1) = add(multiply(X_23,inverse(X)),inverse(X)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(X_23,n1)),add(multiply(X_23,inverse(X)),inverse(X))) )],[refute_0_208,refute_0_552]) ).
cnf(refute_0_554,plain,
multiply(X,add(Y,X)) = add(multiply(Y,X),multiply(X,X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(X))]]) ).
cnf(refute_0_555,plain,
multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),multiply(multiply(X_127,n1),add(X_127,X_127))) = multiply(multiply(X_127,n1),add(X_127,X_127)),
inference(subst,[],[refute_0_251:[bind(X_22,$fot(add(X_127,X_127))),bind(X_24,$fot(multiply(X_127,n1)))]]) ).
cnf(refute_0_556,plain,
add(X_32,X_32) = add(inverse(n1),X_32),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(X_32))]]) ).
cnf(refute_0_557,plain,
( multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(X_32,X_32))
| add(X_32,X_32) != add(inverse(n1),X_32)
| multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(inverse(n1),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(X_32,X_32))) ),[1,1],$fot(add(inverse(n1),X_32))]]) ).
cnf(refute_0_558,plain,
( multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(X_32,X_32))
| multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(inverse(n1),X_32)) ),
inference(resolve,[$cnf( $equal(add(X_32,X_32),add(inverse(n1),X_32)) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(multiply(X_32,n1),add(X_32,X_32)) = multiply(n1,add(inverse(n1),X_32)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(X_32,X_32))) )],[refute_0_82,refute_0_558]) ).
cnf(refute_0_560,plain,
( multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(X_32,X_32))
| multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(inverse(n1),X_32))
| multiply(n1,add(X_32,X_32)) = multiply(n1,add(inverse(n1),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(inverse(n1),X_32))) ),[0],$fot(multiply(n1,add(X_32,X_32)))]]) ).
cnf(refute_0_561,plain,
( multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(inverse(n1),X_32))
| multiply(n1,add(X_32,X_32)) = multiply(n1,add(inverse(n1),X_32)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(X_32,X_32))) )],[refute_0_82,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(n1,add(X_32,X_32)) = multiply(n1,add(inverse(n1),X_32)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(inverse(n1),X_32))) )],[refute_0_559,refute_0_561]) ).
cnf(refute_0_563,plain,
add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(multiply(X_12,add(n1,inverse(n1)))))]]) ).
cnf(refute_0_564,plain,
pixley(n1,n1,X_12) = add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),
inference(subst,[],[refute_0_34:[bind(X_11,$fot(n1))]]) ).
cnf(refute_0_565,plain,
( pixley(n1,n1,X_12) != add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(pixley(n1,n1,X_12))),bind(Y0,$fot(add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))))]]) ).
cnf(refute_0_566,plain,
add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
( add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) ),[0],$fot(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))))]]) ).
cnf(refute_0_568,plain,
( add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = pixley(n1,n1,X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) )],[refute_0_563,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) = multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)),
introduced(tautology,[refl,[$fot(multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)))]]) ).
cnf(refute_0_571,plain,
( multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) != multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))
| add(n1,inverse(n1)) != n1
| multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) = multiply(n1,add(inverse(n1),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)),multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_572,plain,
( add(n1,inverse(n1)) != n1
| multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) = multiply(n1,add(inverse(n1),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)),multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) = multiply(n1,add(inverse(n1),X_12)),
inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_36,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X,add(Z,Z)) = add(multiply(Z,X),multiply(Z,X)),
inference(subst,[],[multiply_add_property:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_575,plain,
add(Z,Z) = add(inverse(n1),Z),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(Z))]]) ).
cnf(refute_0_576,plain,
( multiply(X,add(Z,Z)) != add(multiply(Z,X),multiply(Z,X))
| add(Z,Z) != add(inverse(n1),Z)
| multiply(X,add(inverse(n1),Z)) = add(multiply(Z,X),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Z,Z)),add(multiply(Z,X),multiply(Z,X))) ),[0,1],$fot(add(inverse(n1),Z))]]) ).
cnf(refute_0_577,plain,
( multiply(X,add(Z,Z)) != add(multiply(Z,X),multiply(Z,X))
| multiply(X,add(inverse(n1),Z)) = add(multiply(Z,X),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(add(Z,Z),add(inverse(n1),Z)) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
multiply(X,add(inverse(n1),Z)) = add(multiply(Z,X),multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(Z,Z)),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
add(multiply(Z,X),multiply(Z,X)) = add(inverse(n1),multiply(Z,X)),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_580,plain,
( multiply(X,add(inverse(n1),Z)) != add(multiply(Z,X),multiply(Z,X))
| add(multiply(Z,X),multiply(Z,X)) != add(inverse(n1),multiply(Z,X))
| multiply(X,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(inverse(n1),Z)),add(inverse(n1),multiply(Z,X))) ),[0],$fot(add(multiply(Z,X),multiply(Z,X)))]]) ).
cnf(refute_0_581,plain,
( multiply(X,add(inverse(n1),Z)) != add(multiply(Z,X),multiply(Z,X))
| multiply(X,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(Z,X),multiply(Z,X)),add(inverse(n1),multiply(Z,X))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(X,add(inverse(n1),Z)) = add(inverse(n1),multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(inverse(n1),Z)),add(multiply(Z,X),multiply(Z,X))) )],[refute_0_578,refute_0_581]) ).
cnf(refute_0_583,plain,
( multiply(X,add(inverse(n1),Z)) != add(inverse(n1),multiply(Z,X))
| add(inverse(n1),multiply(Z,X)) = multiply(X,add(inverse(n1),Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,add(inverse(n1),Z)))),bind(Y0,$fot(add(inverse(n1),multiply(Z,X))))]]) ).
cnf(refute_0_584,plain,
add(inverse(n1),multiply(Z,X)) = multiply(X,add(inverse(n1),Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(inverse(n1),Z)),add(inverse(n1),multiply(Z,X))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) = multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)),
inference(subst,[],[refute_0_584:[bind(X,$fot(add(n1,inverse(n1)))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_586,plain,
( add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))))),bind(Y0,$fot(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))))),bind(Z0,$fot(multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))))]]) ).
cnf(refute_0_587,plain,
( add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),add(inverse(n1),multiply(X_12,add(n1,inverse(n1))))) )],[refute_0_563,refute_0_586]) ).
cnf(refute_0_588,plain,
add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))) )],[refute_0_585,refute_0_587]) ).
cnf(refute_0_589,plain,
( multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) != multiply(n1,add(inverse(n1),X_12))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = multiply(n1,add(inverse(n1),X_12)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))))),bind(Y0,$fot(multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)))),bind(Z0,$fot(multiply(n1,add(inverse(n1),X_12))))]]) ).
cnf(refute_0_590,plain,
( multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)) != multiply(n1,add(inverse(n1),X_12))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = multiply(n1,add(inverse(n1),X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),multiply(add(n1,inverse(n1)),add(inverse(n1),X_12))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) = multiply(n1,add(inverse(n1),X_12)),
inference(resolve,[$cnf( $equal(multiply(add(n1,inverse(n1)),add(inverse(n1),X_12)),multiply(n1,add(inverse(n1),X_12))) )],[refute_0_573,refute_0_590]) ).
cnf(refute_0_592,plain,
( add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != multiply(n1,add(inverse(n1),X_12))
| add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| multiply(n1,add(inverse(n1),X_12)) = pixley(n1,n1,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) ),[0],$fot(multiply(n1,add(inverse(n1),X_12)))]]) ).
cnf(refute_0_593,plain,
( add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| multiply(n1,add(inverse(n1),X_12)) = pixley(n1,n1,X_12) ),
inference(resolve,[$cnf( $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),multiply(n1,add(inverse(n1),X_12))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
pixley(n1,n1,X_12) = X_12,
inference(subst,[],[pixley1:[bind(X,$fot(n1)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_595,plain,
( multiply(n1,add(inverse(n1),X_12)) != pixley(n1,n1,X_12)
| pixley(n1,n1,X_12) != X_12
| multiply(n1,add(inverse(n1),X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(inverse(n1),X_12)),X_12) ),[0],$fot(pixley(n1,n1,X_12))]]) ).
cnf(refute_0_596,plain,
( multiply(n1,add(inverse(n1),X_12)) != pixley(n1,n1,X_12)
| multiply(n1,add(inverse(n1),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),X_12) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
( add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| multiply(n1,add(inverse(n1),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_12)),pixley(n1,n1,X_12)) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(n1,add(inverse(n1),X_12)) = X_12,
inference(resolve,[$cnf( $equal(add(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) )],[refute_0_569,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(n1,add(inverse(n1),X_32)) = X_32,
inference(subst,[],[refute_0_598:[bind(X_12,$fot(X_32))]]) ).
cnf(refute_0_600,plain,
( multiply(n1,add(X_32,X_32)) != multiply(n1,add(inverse(n1),X_32))
| multiply(n1,add(inverse(n1),X_32)) != X_32
| multiply(n1,add(X_32,X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(n1,add(X_32,X_32)),X_32) ),[0],$fot(multiply(n1,add(inverse(n1),X_32)))]]) ).
cnf(refute_0_601,plain,
( multiply(n1,add(X_32,X_32)) != multiply(n1,add(inverse(n1),X_32))
| multiply(n1,add(X_32,X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(n1,add(inverse(n1),X_32)),X_32) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(n1,add(X_32,X_32)) = X_32,
inference(resolve,[$cnf( $equal(multiply(n1,add(X_32,X_32)),multiply(n1,add(inverse(n1),X_32))) )],[refute_0_562,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(X_32,X_32))
| multiply(n1,add(X_32,X_32)) != X_32
| multiply(multiply(X_32,n1),add(X_32,X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),X_32) ),[0],$fot(multiply(n1,add(X_32,X_32)))]]) ).
cnf(refute_0_604,plain,
( multiply(multiply(X_32,n1),add(X_32,X_32)) != multiply(n1,add(X_32,X_32))
| multiply(multiply(X_32,n1),add(X_32,X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(n1,add(X_32,X_32)),X_32) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(multiply(X_32,n1),add(X_32,X_32)) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(X_32,n1),add(X_32,X_32)),multiply(n1,add(X_32,X_32))) )],[refute_0_82,refute_0_604]) ).
cnf(refute_0_606,plain,
multiply(multiply(X_127,n1),add(X_127,X_127)) = X_127,
inference(subst,[],[refute_0_605:[bind(X_32,$fot(X_127))]]) ).
cnf(refute_0_607,plain,
( multiply(multiply(X_127,n1),add(X_127,X_127)) != X_127
| multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),multiply(multiply(X_127,n1),add(X_127,X_127))) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(multiply(X_127,n1),add(X_127,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),multiply(multiply(X_127,n1),add(X_127,X_127))),multiply(multiply(X_127,n1),add(X_127,X_127))) ),[0,1],$fot(X_127)]]) ).
cnf(refute_0_608,plain,
( multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),multiply(multiply(X_127,n1),add(X_127,X_127))) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(multiply(X_127,n1),add(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,n1),add(X_127,X_127)),X_127) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(multiply(X_127,n1),add(X_127,X_127)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),multiply(multiply(X_127,n1),add(X_127,X_127))),multiply(multiply(X_127,n1),add(X_127,X_127))) )],[refute_0_555,refute_0_608]) ).
cnf(refute_0_610,plain,
( X_122 != multiply(add(X_122,X_122),add(X,n1))
| multiply(add(X_122,X_122),add(X,n1)) = X_122 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_122)),bind(Y0,$fot(multiply(add(X_122,X_122),add(X,n1))))]]) ).
cnf(refute_0_611,plain,
multiply(add(X_122,X_122),add(X,n1)) = X_122,
inference(resolve,[$cnf( $equal(X_122,multiply(add(X_122,X_122),add(X,n1))) )],[refute_0_141,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(add(X_36,X_36),add(Y,n1)) = X_36,
inference(subst,[],[refute_0_611:[bind(X,$fot(Y)),bind(X_122,$fot(X_36))]]) ).
cnf(refute_0_613,plain,
( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),add(Y,n1))
| multiply(add(X_36,X_36),add(Y,n1)) != X_36
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = X_36 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),X_36) ),[0],$fot(multiply(add(X_36,X_36),add(Y,n1)))]]) ).
cnf(refute_0_614,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))) = X_36 ),
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,n1)),X_36) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = X_36,
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,n1))) )],[refute_0_90,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))) = X_127,
inference(subst,[],[refute_0_615:[bind(Y,$fot(X_23)),bind(X_36,$fot(X_127))]]) ).
cnf(refute_0_617,plain,
multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127))]]) ).
cnf(refute_0_618,plain,
( multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) != multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127)
| multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))) != X_127
| multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(X_127,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127),multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127)) ),[1,0],$fot(X_127)]]) ).
cnf(refute_0_619,plain,
( multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))) != X_127
| multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(X_127,X_127) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127),multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127)) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) = multiply(X_127,X_127),
inference(resolve,[$cnf( $equal(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
( multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) != multiply(X_127,X_127)
| multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(X_127,X_127) = multiply(multiply(X_127,n1),add(X_127,X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127),multiply(multiply(X_127,n1),add(X_127,X_127))) ),[0],$fot(multiply(X_127,X_127))]]) ).
cnf(refute_0_622,plain,
( multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(X_127,X_127) = multiply(multiply(X_127,n1),add(X_127,X_127)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127),multiply(X_127,X_127)) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
( multiply(X_127,X_127) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(multiply(X_127,n1),add(X_127,X_127)) != X_127
| multiply(X_127,X_127) = X_127 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_127,X_127),X_127) ),[0],$fot(multiply(multiply(X_127,n1),add(X_127,X_127)))]]) ).
cnf(refute_0_624,plain,
( multiply(X_127,X_127) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(X_127,X_127) = X_127 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,n1),add(X_127,X_127)),X_127) )],[refute_0_606,refute_0_623]) ).
cnf(refute_0_625,plain,
( multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127) != multiply(multiply(X_127,n1),add(X_127,X_127))
| multiply(X_127,X_127) = X_127 ),
inference(resolve,[$cnf( $equal(multiply(X_127,X_127),multiply(multiply(X_127,n1),add(X_127,X_127))) )],[refute_0_622,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(X_127,X_127) = X_127,
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_127,X_127),add(X_23,multiply(X_127,n1))),X_127),multiply(multiply(X_127,n1),add(X_127,X_127))) )],[refute_0_609,refute_0_625]) ).
cnf(refute_0_627,plain,
multiply(X,X) = X,
inference(subst,[],[refute_0_626:[bind(X_127,$fot(X))]]) ).
cnf(refute_0_628,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_629,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( $equal(multiply(X,X),X) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
multiply(X,add(Y,X)) = add(multiply(Y,X),X),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),multiply(X,X))) )],[refute_0_554,refute_0_629]) ).
cnf(refute_0_631,plain,
( multiply(X,add(Y,X)) != add(multiply(Y,X),X)
| add(multiply(Y,X),X) = multiply(X,add(Y,X)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,add(Y,X)))),bind(Y0,$fot(add(multiply(Y,X),X)))]]) ).
cnf(refute_0_632,plain,
add(multiply(Y,X),X) = multiply(X,add(Y,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,X)),add(multiply(Y,X),X)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
add(multiply(X_23,inverse(X)),inverse(X)) = multiply(inverse(X),add(X_23,inverse(X))),
inference(subst,[],[refute_0_632:[bind(X,$fot(inverse(X))),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_634,plain,
( multiply(inverse(X),n1) != add(multiply(X_23,inverse(X)),inverse(X))
| add(multiply(X_23,inverse(X)),inverse(X)) != multiply(inverse(X),add(X_23,inverse(X)))
| multiply(inverse(X),n1) = multiply(inverse(X),add(X_23,inverse(X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X),n1),multiply(inverse(X),add(X_23,inverse(X)))) ),[0],$fot(add(multiply(X_23,inverse(X)),inverse(X)))]]) ).
cnf(refute_0_635,plain,
( multiply(inverse(X),n1) != add(multiply(X_23,inverse(X)),inverse(X))
| multiply(inverse(X),n1) = multiply(inverse(X),add(X_23,inverse(X))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_23,inverse(X)),inverse(X)),multiply(inverse(X),add(X_23,inverse(X)))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
multiply(inverse(X),n1) = multiply(inverse(X),add(X_23,inverse(X))),
inference(resolve,[$cnf( $equal(multiply(inverse(X),n1),add(multiply(X_23,inverse(X)),inverse(X))) )],[refute_0_553,refute_0_635]) ).
cnf(refute_0_637,plain,
( multiply(inverse(X),n1) != multiply(inverse(X),add(X_23,inverse(X)))
| multiply(inverse(X),add(X_23,inverse(X))) = multiply(inverse(X),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X),n1))),bind(Y0,$fot(multiply(inverse(X),add(X_23,inverse(X)))))]]) ).
cnf(refute_0_638,plain,
multiply(inverse(X),add(X_23,inverse(X))) = multiply(inverse(X),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(X),n1),multiply(inverse(X),add(X_23,inverse(X)))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
multiply(inverse(X_51),add(n1,inverse(X_51))) = multiply(inverse(X_51),n1),
inference(subst,[],[refute_0_638:[bind(X,$fot(X_51)),bind(X_23,$fot(n1))]]) ).
cnf(refute_0_640,plain,
pixley(add(inverse(Y),inverse(Y)),Y,Z) = add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,add(add(inverse(Y),inverse(Y)),inverse(Y)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_641,plain,
multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) = add(add(X_127,X_127),multiply(multiply(X_127,n1),add(X_127,X_127))),
inference(subst,[],[refute_0_50:[bind(X_22,$fot(add(X_127,X_127))),bind(X_24,$fot(multiply(X_127,n1)))]]) ).
cnf(refute_0_642,plain,
( multiply(multiply(X_127,n1),add(X_127,X_127)) != X_127
| multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) != add(add(X_127,X_127),multiply(multiply(X_127,n1),add(X_127,X_127)))
| multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) = add(add(X_127,X_127),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))),add(add(X_127,X_127),multiply(multiply(X_127,n1),add(X_127,X_127)))) ),[1,1],$fot(X_127)]]) ).
cnf(refute_0_643,plain,
( multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) != add(add(X_127,X_127),multiply(multiply(X_127,n1),add(X_127,X_127)))
| multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) = add(add(X_127,X_127),X_127) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,n1),add(X_127,X_127)),X_127) )],[refute_0_606,refute_0_642]) ).
cnf(refute_0_644,plain,
multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) = add(add(X_127,X_127),X_127),
inference(resolve,[$cnf( $equal(multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))),add(add(X_127,X_127),multiply(multiply(X_127,n1),add(X_127,X_127)))) )],[refute_0_641,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) = X_127,
inference(subst,[],[refute_0_615:[bind(Y,$fot(add(X,add(X_127,X_127)))),bind(X_36,$fot(X_127))]]) ).
cnf(refute_0_646,plain,
( multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) != X_127
| multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) != add(add(X_127,X_127),X_127)
| X_127 = add(add(X_127,X_127),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))),add(add(X_127,X_127),X_127)) ),[0],$fot(X_127)]]) ).
cnf(refute_0_647,plain,
( multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))) != add(add(X_127,X_127),X_127)
| X_127 = add(add(X_127,X_127),X_127) ),
inference(resolve,[$cnf( $equal(multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))),X_127) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
X_127 = add(add(X_127,X_127),X_127),
inference(resolve,[$cnf( $equal(multiply(add(X_127,X_127),add(add(X,add(X_127,X_127)),multiply(X_127,n1))),add(add(X_127,X_127),X_127)) )],[refute_0_644,refute_0_647]) ).
cnf(refute_0_649,plain,
inverse(Y) = add(add(inverse(Y),inverse(Y)),inverse(Y)),
inference(subst,[],[refute_0_648:[bind(X_127,$fot(inverse(Y)))]]) ).
cnf(refute_0_650,plain,
( inverse(Y) != add(add(inverse(Y),inverse(Y)),inverse(Y))
| add(add(inverse(Y),inverse(Y)),inverse(Y)) = inverse(Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(Y))),bind(Y0,$fot(add(add(inverse(Y),inverse(Y)),inverse(Y))))]]) ).
cnf(refute_0_651,plain,
add(add(inverse(Y),inverse(Y)),inverse(Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(inverse(Y),add(add(inverse(Y),inverse(Y)),inverse(Y))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
( add(add(inverse(Y),inverse(Y)),inverse(Y)) != inverse(Y)
| pixley(add(inverse(Y),inverse(Y)),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,add(add(inverse(Y),inverse(Y)),inverse(Y))))
| pixley(add(inverse(Y),inverse(Y)),Y,Z) = add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,add(add(inverse(Y),inverse(Y)),inverse(Y))))) ),[1,1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_653,plain,
( pixley(add(inverse(Y),inverse(Y)),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,add(add(inverse(Y),inverse(Y)),inverse(Y))))
| pixley(add(inverse(Y),inverse(Y)),Y,Z) = add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(Y),inverse(Y)),inverse(Y)),inverse(Y)) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
pixley(add(inverse(Y),inverse(Y)),Y,Z) = add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))),
inference(resolve,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,add(add(inverse(Y),inverse(Y)),inverse(Y))))) )],[refute_0_640,refute_0_653]) ).
cnf(refute_0_655,plain,
( multiply(inverse(X_23),n1) != add(inverse(X_23),inverse(X_23))
| add(inverse(X_23),inverse(X_23)) = multiply(inverse(X_23),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_23),n1))),bind(Y0,$fot(add(inverse(X_23),inverse(X_23))))]]) ).
cnf(refute_0_656,plain,
add(inverse(X_23),inverse(X_23)) = multiply(inverse(X_23),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),n1),add(inverse(X_23),inverse(X_23))) )],[refute_0_491,refute_0_655]) ).
cnf(refute_0_657,plain,
add(inverse(Y),inverse(Y)) = multiply(inverse(Y),n1),
inference(subst,[],[refute_0_656:[bind(X_23,$fot(Y))]]) ).
cnf(refute_0_658,plain,
pixley(add(inverse(Y),inverse(Y)),Y,Z) = pixley(add(inverse(Y),inverse(Y)),Y,Z),
introduced(tautology,[refl,[$fot(pixley(add(inverse(Y),inverse(Y)),Y,Z))]]) ).
cnf(refute_0_659,plain,
( add(inverse(Y),inverse(Y)) != multiply(inverse(Y),n1)
| pixley(add(inverse(Y),inverse(Y)),Y,Z) != pixley(add(inverse(Y),inverse(Y)),Y,Z)
| pixley(add(inverse(Y),inverse(Y)),Y,Z) = pixley(multiply(inverse(Y),n1),Y,Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),pixley(add(inverse(Y),inverse(Y)),Y,Z)) ),[1,0],$fot(multiply(inverse(Y),n1))]]) ).
cnf(refute_0_660,plain,
( add(inverse(Y),inverse(Y)) != multiply(inverse(Y),n1)
| pixley(add(inverse(Y),inverse(Y)),Y,Z) = pixley(multiply(inverse(Y),n1),Y,Z) ),
inference(resolve,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),pixley(add(inverse(Y),inverse(Y)),Y,Z)) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
pixley(add(inverse(Y),inverse(Y)),Y,Z) = pixley(multiply(inverse(Y),n1),Y,Z),
inference(resolve,[$cnf( $equal(add(inverse(Y),inverse(Y)),multiply(inverse(Y),n1)) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
( pixley(add(inverse(Y),inverse(Y)),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(add(inverse(Y),inverse(Y)),Y,Z) != pixley(multiply(inverse(Y),n1),Y,Z)
| pixley(multiply(inverse(Y),n1),Y,Z) = add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))) ),[0],$fot(pixley(multiply(inverse(Y),n1),Y,Z))]]) ).
cnf(refute_0_663,plain,
( pixley(add(inverse(Y),inverse(Y)),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(multiply(inverse(Y),n1),Y,Z) = add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),pixley(multiply(inverse(Y),n1),Y,Z)) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
multiply(X,add(X,Z)) = add(multiply(X,X),multiply(Z,X)),
inference(subst,[],[multiply_add_property:[bind(Y,$fot(X))]]) ).
cnf(refute_0_665,plain,
( multiply(X,X) != X
| multiply(X,add(X,Z)) != add(multiply(X,X),multiply(Z,X))
| multiply(X,add(X,Z)) = add(X,multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(X,Z)),add(multiply(X,X),multiply(Z,X))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_666,plain,
( multiply(X,add(X,Z)) != add(multiply(X,X),multiply(Z,X))
| multiply(X,add(X,Z)) = add(X,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(X,X),X) )],[refute_0_627,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(X,add(X,Z)) = add(X,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),add(multiply(X,X),multiply(Z,X))) )],[refute_0_664,refute_0_666]) ).
cnf(refute_0_668,plain,
( multiply(X,add(X,Z)) != add(X,multiply(Z,X))
| add(X,multiply(Z,X)) = multiply(X,add(X,Z)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,add(X,Z)))),bind(Y0,$fot(add(X,multiply(Z,X))))]]) ).
cnf(refute_0_669,plain,
add(X,multiply(Z,X)) = multiply(X,add(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),add(X,multiply(Z,X))) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
add(inverse(X),multiply(X_24,inverse(X))) = multiply(inverse(X),add(inverse(X),X_24)),
inference(subst,[],[refute_0_669:[bind(X,$fot(inverse(X))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_671,plain,
( multiply(inverse(X),add(n1,X_24)) != add(inverse(X),multiply(X_24,inverse(X)))
| add(inverse(X),multiply(X_24,inverse(X))) != multiply(inverse(X),add(inverse(X),X_24))
| multiply(inverse(X),add(n1,X_24)) = multiply(inverse(X),add(inverse(X),X_24)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X),add(n1,X_24)),multiply(inverse(X),add(inverse(X),X_24))) ),[0],$fot(add(inverse(X),multiply(X_24,inverse(X))))]]) ).
cnf(refute_0_672,plain,
( multiply(inverse(X),add(n1,X_24)) != add(inverse(X),multiply(X_24,inverse(X)))
| multiply(inverse(X),add(n1,X_24)) = multiply(inverse(X),add(inverse(X),X_24)) ),
inference(resolve,[$cnf( $equal(add(inverse(X),multiply(X_24,inverse(X))),multiply(inverse(X),add(inverse(X),X_24))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
multiply(inverse(X),add(n1,X_24)) = multiply(inverse(X),add(inverse(X),X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),add(inverse(X),multiply(X_24,inverse(X)))) )],[refute_0_508,refute_0_672]) ).
cnf(refute_0_674,plain,
( multiply(inverse(X),add(n1,X_24)) != multiply(inverse(X),add(inverse(X),X_24))
| multiply(inverse(X),add(inverse(X),X_24)) = multiply(inverse(X),add(n1,X_24)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X),add(n1,X_24)))),bind(Y0,$fot(multiply(inverse(X),add(inverse(X),X_24))))]]) ).
cnf(refute_0_675,plain,
multiply(inverse(X),add(inverse(X),X_24)) = multiply(inverse(X),add(n1,X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(X),add(n1,X_24)),multiply(inverse(X),add(inverse(X),X_24))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
multiply(inverse(Y),add(inverse(Y),Z)) = multiply(inverse(Y),add(n1,Z)),
inference(subst,[],[refute_0_675:[bind(X,$fot(Y)),bind(X_24,$fot(Z))]]) ).
cnf(refute_0_677,plain,
add(X_22,multiply(X_24,X_22)) = multiply(X_22,add(X_22,X_24)),
inference(subst,[],[refute_0_669:[bind(X,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_678,plain,
( multiply(X_22,add(add(X,X_22),X_24)) != add(X_22,multiply(X_24,X_22))
| add(X_22,multiply(X_24,X_22)) != multiply(X_22,add(X_22,X_24))
| multiply(X_22,add(add(X,X_22),X_24)) = multiply(X_22,add(X_22,X_24)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,add(add(X,X_22),X_24)),multiply(X_22,add(X_22,X_24))) ),[0],$fot(add(X_22,multiply(X_24,X_22)))]]) ).
cnf(refute_0_679,plain,
( multiply(X_22,add(add(X,X_22),X_24)) != add(X_22,multiply(X_24,X_22))
| multiply(X_22,add(add(X,X_22),X_24)) = multiply(X_22,add(X_22,X_24)) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_24,X_22)),multiply(X_22,add(X_22,X_24))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(X_22,add(add(X,X_22),X_24)) = multiply(X_22,add(X_22,X_24)),
inference(resolve,[$cnf( $equal(multiply(X_22,add(add(X,X_22),X_24)),add(X_22,multiply(X_24,X_22))) )],[refute_0_50,refute_0_679]) ).
cnf(refute_0_681,plain,
multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) = multiply(inverse(Y),add(inverse(Y),Z)),
inference(subst,[],[refute_0_680:[bind(X,$fot(inverse(Y))),bind(X_22,$fot(inverse(Y))),bind(X_24,$fot(Z))]]) ).
cnf(refute_0_682,plain,
( multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) != multiply(inverse(Y),add(inverse(Y),Z))
| multiply(inverse(Y),add(inverse(Y),Z)) != multiply(inverse(Y),add(n1,Z))
| multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) = multiply(inverse(Y),add(n1,Z)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)))),bind(Y0,$fot(multiply(inverse(Y),add(inverse(Y),Z)))),bind(Z0,$fot(multiply(inverse(Y),add(n1,Z))))]]) ).
cnf(refute_0_683,plain,
( multiply(inverse(Y),add(inverse(Y),Z)) != multiply(inverse(Y),add(n1,Z))
| multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)),multiply(inverse(Y),add(inverse(Y),Z))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) = multiply(inverse(Y),add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(inverse(Y),Z)),multiply(inverse(Y),add(n1,Z))) )],[refute_0_676,refute_0_683]) ).
cnf(refute_0_685,plain,
add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)),
inference(subst,[],[refute_0_5:[bind(X,$fot(inverse(Y))),bind(Y,$fot(add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_686,plain,
( multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) != multiply(inverse(Y),add(n1,Z))
| add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z))
| add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(n1,Z)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))))),bind(Y0,$fot(multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)))),bind(Z0,$fot(multiply(inverse(Y),add(n1,Z))))]]) ).
cnf(refute_0_687,plain,
( multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)) != multiply(inverse(Y),add(n1,Z))
| add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))),multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(n1,Z)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(add(inverse(Y),inverse(Y)),Z)),multiply(inverse(Y),add(n1,Z))) )],[refute_0_684,refute_0_687]) ).
cnf(refute_0_689,plain,
( add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(n1,Z))
| pixley(multiply(inverse(Y),n1),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(multiply(inverse(Y),n1),Y,Z) = multiply(inverse(Y),add(n1,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(Y),n1),Y,Z),add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))) ),[1],$fot(multiply(inverse(Y),add(n1,Z)))]]) ).
cnf(refute_0_690,plain,
( pixley(multiply(inverse(Y),n1),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(multiply(inverse(Y),n1),Y,Z) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y))),multiply(inverse(Y),add(n1,Z))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
( pixley(add(inverse(Y),inverse(Y)),Y,Z) != add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))
| pixley(multiply(inverse(Y),n1),Y,Z) = multiply(inverse(Y),add(n1,Z)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(Y),n1),Y,Z),add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))) )],[refute_0_663,refute_0_690]) ).
cnf(refute_0_692,plain,
pixley(multiply(inverse(Y),n1),Y,Z) = multiply(inverse(Y),add(n1,Z)),
inference(resolve,[$cnf( $equal(pixley(add(inverse(Y),inverse(Y)),Y,Z),add(multiply(add(inverse(Y),inverse(Y)),inverse(Y)),multiply(Z,inverse(Y)))) )],[refute_0_654,refute_0_691]) ).
cnf(refute_0_693,plain,
pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = multiply(inverse(X_51),add(n1,inverse(X_51))),
inference(subst,[],[refute_0_692:[bind(Y,$fot(X_51)),bind(Z,$fot(inverse(X_51)))]]) ).
cnf(refute_0_694,plain,
( multiply(inverse(X_51),add(n1,inverse(X_51))) != multiply(inverse(X_51),n1)
| pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) != multiply(inverse(X_51),add(n1,inverse(X_51)))
| pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = multiply(inverse(X_51),n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)))),bind(Y0,$fot(multiply(inverse(X_51),add(n1,inverse(X_51))))),bind(Z0,$fot(multiply(inverse(X_51),n1)))]]) ).
cnf(refute_0_695,plain,
( multiply(inverse(X_51),add(n1,inverse(X_51))) != multiply(inverse(X_51),n1)
| pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = multiply(inverse(X_51),n1) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)),multiply(inverse(X_51),add(n1,inverse(X_51)))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) = multiply(inverse(X_51),n1),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),add(n1,inverse(X_51))),multiply(inverse(X_51),n1)) )],[refute_0_639,refute_0_695]) ).
cnf(refute_0_697,plain,
( pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) != multiply(inverse(X_51),n1)
| pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| multiply(inverse(X_51),n1) = pixley(n1,X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) ),[0],$fot(multiply(inverse(X_51),n1))]]) ).
cnf(refute_0_698,plain,
( pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| multiply(inverse(X_51),n1) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)),multiply(inverse(X_51),n1)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
pixley(add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)),
inference(subst,[],[refute_0_521:[bind(X_50,$fot(add(inverse(X_51),inverse(X_51))))]]) ).
cnf(refute_0_700,plain,
inverse(X_51) = add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),
inference(subst,[],[refute_0_648:[bind(X_127,$fot(inverse(X_51)))]]) ).
cnf(refute_0_701,plain,
( inverse(X_51) != add(add(inverse(X_51),inverse(X_51)),inverse(X_51))
| add(add(inverse(X_51),inverse(X_51)),inverse(X_51)) = inverse(X_51) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_51))),bind(Y0,$fot(add(add(inverse(X_51),inverse(X_51)),inverse(X_51))))]]) ).
cnf(refute_0_702,plain,
add(add(inverse(X_51),inverse(X_51)),inverse(X_51)) = inverse(X_51),
inference(resolve,[$cnf( $equal(inverse(X_51),add(add(inverse(X_51),inverse(X_51)),inverse(X_51))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
( add(add(inverse(X_51),inverse(X_51)),inverse(X_51)) != inverse(X_51)
| pixley(add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| pixley(inverse(X_51),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) ),[0,0],$fot(inverse(X_51))]]) ).
cnf(refute_0_704,plain,
( pixley(add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| pixley(inverse(X_51),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),inverse(X_51)) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
pixley(inverse(X_51),X_51,inverse(X_51)) = pixley(n1,X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(pixley(add(add(inverse(X_51),inverse(X_51)),inverse(X_51)),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) )],[refute_0_699,refute_0_704]) ).
cnf(refute_0_706,plain,
pixley(inverse(X_51),X_51,inverse(X_51)) = inverse(X_51),
inference(subst,[],[pixley3:[bind(X,$fot(inverse(X_51))),bind(Y,$fot(X_51))]]) ).
cnf(refute_0_707,plain,
( pixley(inverse(X_51),X_51,inverse(X_51)) != inverse(X_51)
| pixley(inverse(X_51),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| inverse(X_51) = pixley(n1,X_51,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(X_51),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) ),[0],$fot(inverse(X_51))]]) ).
cnf(refute_0_708,plain,
( pixley(inverse(X_51),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| inverse(X_51) = pixley(n1,X_51,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(pixley(inverse(X_51),X_51,inverse(X_51)),inverse(X_51)) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
inverse(X_51) = pixley(n1,X_51,inverse(X_51)),
inference(resolve,[$cnf( $equal(pixley(inverse(X_51),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) )],[refute_0_705,refute_0_708]) ).
cnf(refute_0_710,plain,
( inverse(X_51) != pixley(n1,X_51,inverse(X_51))
| pixley(n1,X_51,inverse(X_51)) = inverse(X_51) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_51))),bind(Y0,$fot(pixley(n1,X_51,inverse(X_51))))]]) ).
cnf(refute_0_711,plain,
pixley(n1,X_51,inverse(X_51)) = inverse(X_51),
inference(resolve,[$cnf( $equal(inverse(X_51),pixley(n1,X_51,inverse(X_51))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
( multiply(inverse(X_51),n1) != pixley(n1,X_51,inverse(X_51))
| pixley(n1,X_51,inverse(X_51)) != inverse(X_51)
| multiply(inverse(X_51),n1) = inverse(X_51) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_51),n1),inverse(X_51)) ),[0],$fot(pixley(n1,X_51,inverse(X_51)))]]) ).
cnf(refute_0_713,plain,
( multiply(inverse(X_51),n1) != pixley(n1,X_51,inverse(X_51))
| multiply(inverse(X_51),n1) = inverse(X_51) ),
inference(resolve,[$cnf( $equal(pixley(n1,X_51,inverse(X_51)),inverse(X_51)) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
( pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)) != pixley(n1,X_51,inverse(X_51))
| multiply(inverse(X_51),n1) = inverse(X_51) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),n1),pixley(n1,X_51,inverse(X_51))) )],[refute_0_698,refute_0_713]) ).
cnf(refute_0_715,plain,
multiply(inverse(X_51),n1) = inverse(X_51),
inference(resolve,[$cnf( $equal(pixley(multiply(inverse(X_51),n1),X_51,inverse(X_51)),pixley(n1,X_51,inverse(X_51))) )],[refute_0_545,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(inverse(X_23),n1) = inverse(X_23),
inference(subst,[],[refute_0_715:[bind(X_51,$fot(X_23))]]) ).
cnf(refute_0_717,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_718,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( $equal(multiply(inverse(X_23),n1),inverse(X_23)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
inverse(X_23) = add(inverse(X_23),inverse(X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),n1),add(inverse(X_23),inverse(X_23))) )],[refute_0_491,refute_0_718]) ).
cnf(refute_0_720,plain,
( inverse(X_23) != add(inverse(X_23),inverse(X_23))
| add(inverse(X_23),inverse(X_23)) = inverse(X_23) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_23))),bind(Y0,$fot(add(inverse(X_23),inverse(X_23))))]]) ).
cnf(refute_0_721,plain,
add(inverse(X_23),inverse(X_23)) = inverse(X_23),
inference(resolve,[$cnf( $equal(inverse(X_23),add(inverse(X_23),inverse(X_23))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
add(inverse(X_146),inverse(X_146)) = inverse(X_146),
inference(subst,[],[refute_0_721:[bind(X_23,$fot(X_146))]]) ).
cnf(refute_0_723,plain,
multiply(X_146,add(inverse(X_146),inverse(X_146))) = multiply(X_146,add(inverse(X_146),inverse(X_146))),
introduced(tautology,[refl,[$fot(multiply(X_146,add(inverse(X_146),inverse(X_146))))]]) ).
cnf(refute_0_724,plain,
( multiply(X_146,add(inverse(X_146),inverse(X_146))) != multiply(X_146,add(inverse(X_146),inverse(X_146)))
| add(inverse(X_146),inverse(X_146)) != inverse(X_146)
| multiply(X_146,add(inverse(X_146),inverse(X_146))) = multiply(X_146,inverse(X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_146,add(inverse(X_146),inverse(X_146))),multiply(X_146,add(inverse(X_146),inverse(X_146)))) ),[1,1],$fot(inverse(X_146))]]) ).
cnf(refute_0_725,plain,
( add(inverse(X_146),inverse(X_146)) != inverse(X_146)
| multiply(X_146,add(inverse(X_146),inverse(X_146))) = multiply(X_146,inverse(X_146)) ),
inference(resolve,[$cnf( $equal(multiply(X_146,add(inverse(X_146),inverse(X_146))),multiply(X_146,add(inverse(X_146),inverse(X_146)))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(X_146,add(inverse(X_146),inverse(X_146))) = multiply(X_146,inverse(X_146)),
inference(resolve,[$cnf( $equal(add(inverse(X_146),inverse(X_146)),inverse(X_146)) )],[refute_0_722,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))),
introduced(tautology,[refl,[$fot(multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))))]]) ).
cnf(refute_0_728,plain,
( multiply(X_146,add(inverse(X_146),inverse(X_146))) != multiply(X_146,inverse(X_146))
| multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) != multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146))))
| multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(inverse(n1),multiply(X_146,inverse(X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))),multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146))))) ),[1,1],$fot(multiply(X_146,inverse(X_146)))]]) ).
cnf(refute_0_729,plain,
( multiply(X_146,add(inverse(X_146),inverse(X_146))) != multiply(X_146,inverse(X_146))
| multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(inverse(n1),multiply(X_146,inverse(X_146))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))),multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146))))) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) = multiply(inverse(n1),multiply(X_146,inverse(X_146))),
inference(resolve,[$cnf( $equal(multiply(X_146,add(inverse(X_146),inverse(X_146))),multiply(X_146,inverse(X_146))) )],[refute_0_726,refute_0_729]) ).
cnf(refute_0_731,plain,
( multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) != multiply(inverse(n1),multiply(X_146,inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) = multiply(X_146,add(inverse(n1),inverse(X_146))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))),multiply(X_146,add(inverse(n1),inverse(X_146)))) ),[0],$fot(multiply(inverse(n1),multiply(X_146,inverse(X_146))))]]) ).
cnf(refute_0_732,plain,
( multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) = multiply(X_146,add(inverse(n1),inverse(X_146))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))),multiply(inverse(n1),multiply(X_146,inverse(X_146)))) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,add(inverse(X_11),inverse(X_11))),
inference(subst,[],[refute_0_19:[bind(X_10,$fot(inverse(X_11)))]]) ).
cnf(refute_0_734,plain,
add(inverse(X_11),inverse(X_11)) = add(inverse(n1),inverse(X_11)),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(inverse(X_11)))]]) ).
cnf(refute_0_735,plain,
( multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(X_12,add(inverse(X_11),inverse(X_11)))
| add(inverse(X_11),inverse(X_11)) != add(inverse(n1),inverse(X_11))
| multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,add(inverse(n1),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(X_12,add(inverse(X_11),inverse(X_11)))) ),[1,1],$fot(add(inverse(n1),inverse(X_11)))]]) ).
cnf(refute_0_736,plain,
( multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(X_12,add(inverse(X_11),inverse(X_11)))
| multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,add(inverse(n1),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),inverse(X_11)),add(inverse(n1),inverse(X_11))) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,add(inverse(n1),inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(X_12,add(inverse(X_11),inverse(X_11)))) )],[refute_0_733,refute_0_736]) ).
cnf(refute_0_738,plain,
add(inverse(X_11),inverse(X_11)) = multiply(inverse(X_11),n1),
inference(subst,[],[refute_0_656:[bind(X_23,$fot(X_11))]]) ).
cnf(refute_0_739,plain,
multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,add(inverse(X_11),inverse(X_11))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(inverse(X_11),inverse(X_11))))]]) ).
cnf(refute_0_740,plain,
( multiply(X_12,add(inverse(X_11),inverse(X_11))) != multiply(X_12,add(inverse(X_11),inverse(X_11)))
| add(inverse(X_11),inverse(X_11)) != multiply(inverse(X_11),n1)
| multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
introduced(tautology,[equality,[$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(multiply(inverse(X_11),n1))]]) ).
cnf(refute_0_741,plain,
( add(inverse(X_11),inverse(X_11)) != multiply(inverse(X_11),n1)
| multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(X_11),inverse(X_11))),multiply(X_12,add(inverse(X_11),inverse(X_11)))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
multiply(X_12,add(inverse(X_11),inverse(X_11))) = multiply(X_12,multiply(inverse(X_11),n1)),
inference(resolve,[$cnf( $equal(add(inverse(X_11),inverse(X_11)),multiply(inverse(X_11),n1)) )],[refute_0_738,refute_0_741]) ).
cnf(refute_0_743,plain,
( multiply(X_12,add(inverse(X_11),inverse(X_11))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(X_12,add(inverse(X_11),inverse(X_11)))
| multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))))),bind(Y0,$fot(multiply(X_12,add(inverse(X_11),inverse(X_11))))),bind(Z0,$fot(multiply(X_12,multiply(inverse(X_11),n1))))]]) ).
cnf(refute_0_744,plain,
( multiply(X_12,add(inverse(X_11),inverse(X_11))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,multiply(inverse(X_11),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(X_12,add(inverse(X_11),inverse(X_11)))) )],[refute_0_733,refute_0_743]) ).
cnf(refute_0_745,plain,
multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) = multiply(X_12,multiply(inverse(X_11),n1)),
inference(resolve,[$cnf( $equal(multiply(X_12,add(inverse(X_11),inverse(X_11))),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_742,refute_0_744]) ).
cnf(refute_0_746,plain,
( multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(X_12,add(inverse(n1),inverse(X_11)))
| multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,add(inverse(n1),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(X_12,add(inverse(n1),inverse(X_11)))) ),[0],$fot(multiply(X_12,multiply(inverse(X_11),n1)))]]) ).
cnf(refute_0_747,plain,
( multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))) != multiply(X_12,add(inverse(n1),inverse(X_11)))
| multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,add(inverse(n1),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,add(inverse(n1),inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(pixley(inverse(X_11),X_11,X_12),multiply(X_12,add(inverse(X_11),inverse(X_11)))),multiply(X_12,add(inverse(n1),inverse(X_11)))) )],[refute_0_737,refute_0_747]) ).
cnf(refute_0_749,plain,
multiply(inverse(X_11),n1) = inverse(X_11),
inference(subst,[],[refute_0_715:[bind(X_51,$fot(X_11))]]) ).
cnf(refute_0_750,plain,
multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,multiply(inverse(X_11),n1)),
introduced(tautology,[refl,[$fot(multiply(X_12,multiply(inverse(X_11),n1)))]]) ).
cnf(refute_0_751,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,multiply(inverse(X_11),n1))
| multiply(inverse(X_11),n1) != inverse(X_11)
| multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,multiply(inverse(X_11),n1))) ),[1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_752,plain,
( multiply(inverse(X_11),n1) != inverse(X_11)
| multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,multiply(inverse(X_11),n1))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
multiply(X_12,multiply(inverse(X_11),n1)) = multiply(X_12,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),n1),inverse(X_11)) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,add(inverse(n1),inverse(X_11)))
| multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,inverse(X_11))
| multiply(X_12,inverse(X_11)) = multiply(X_12,add(inverse(n1),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,add(inverse(n1),inverse(X_11)))) ),[0],$fot(multiply(X_12,inverse(X_11)))]]) ).
cnf(refute_0_755,plain,
( multiply(X_12,multiply(inverse(X_11),n1)) != multiply(X_12,add(inverse(n1),inverse(X_11)))
| multiply(X_12,inverse(X_11)) = multiply(X_12,add(inverse(n1),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,inverse(X_11))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
multiply(X_12,inverse(X_11)) = multiply(X_12,add(inverse(n1),inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(inverse(X_11),n1)),multiply(X_12,add(inverse(n1),inverse(X_11)))) )],[refute_0_748,refute_0_755]) ).
cnf(refute_0_757,plain,
( multiply(X_12,inverse(X_11)) != multiply(X_12,add(inverse(n1),inverse(X_11)))
| multiply(X_12,add(inverse(n1),inverse(X_11))) = multiply(X_12,inverse(X_11)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_12,inverse(X_11)))),bind(Y0,$fot(multiply(X_12,add(inverse(n1),inverse(X_11)))))]]) ).
cnf(refute_0_758,plain,
multiply(X_12,add(inverse(n1),inverse(X_11))) = multiply(X_12,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(X_11)),multiply(X_12,add(inverse(n1),inverse(X_11)))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiply(X_146,add(inverse(n1),inverse(X_146))) = multiply(X_146,inverse(X_146)),
inference(subst,[],[refute_0_758:[bind(X_11,$fot(X_146)),bind(X_12,$fot(X_146))]]) ).
cnf(refute_0_760,plain,
( multiply(X_146,add(inverse(n1),inverse(X_146))) != multiply(X_146,inverse(X_146))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) = multiply(X_146,inverse(X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,inverse(X_146))),multiply(X_146,add(inverse(n1),inverse(X_146)))) ),[1],$fot(multiply(X_146,inverse(X_146)))]]) ).
cnf(refute_0_761,plain,
( multiply(inverse(n1),multiply(X_146,inverse(X_146))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) = multiply(X_146,inverse(X_146)) ),
inference(resolve,[$cnf( $equal(multiply(X_146,add(inverse(n1),inverse(X_146))),multiply(X_146,inverse(X_146))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
( multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))) != multiply(X_146,add(inverse(n1),inverse(X_146)))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) = multiply(X_146,inverse(X_146)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,inverse(X_146))),multiply(X_146,add(inverse(n1),inverse(X_146)))) )],[refute_0_732,refute_0_761]) ).
cnf(refute_0_763,plain,
multiply(inverse(n1),multiply(X_146,inverse(X_146))) = multiply(X_146,inverse(X_146)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,add(inverse(X_146),inverse(X_146)))),multiply(X_146,add(inverse(n1),inverse(X_146)))) )],[refute_0_479,refute_0_762]) ).
cnf(refute_0_764,plain,
multiply(inverse(n1),add(Y,Z)) = add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_765,plain,
multiply(X_147,multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),
inference(subst,[],[refute_0_24:[bind(X_100,$fot(inverse(n1))),bind(X_98,$fot(X_147))]]) ).
cnf(refute_0_766,plain,
multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))))) = inverse(multiply(X_144,inverse(X_144))),
inference(subst,[],[refute_0_425:[bind(Y,$fot(inverse(n1))),bind(X_122,$fot(inverse(multiply(X_144,inverse(X_144)))))]]) ).
cnf(refute_0_767,plain,
add(X_125,X_125) = add(multiply(X_11,inverse(X_11)),multiply(add(X_125,X_125),n1)),
inference(subst,[],[refute_0_111:[bind(X_12,$fot(add(X_125,X_125)))]]) ).
cnf(refute_0_768,plain,
( multiply(add(X_125,X_125),n1) != X_125
| add(X_125,X_125) != add(multiply(X_11,inverse(X_11)),multiply(add(X_125,X_125),n1))
| add(X_125,X_125) = add(multiply(X_11,inverse(X_11)),X_125) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_125,X_125),add(multiply(X_11,inverse(X_11)),multiply(add(X_125,X_125),n1))) ),[1,1],$fot(X_125)]]) ).
cnf(refute_0_769,plain,
( add(X_125,X_125) != add(multiply(X_11,inverse(X_11)),multiply(add(X_125,X_125),n1))
| add(X_125,X_125) = add(multiply(X_11,inverse(X_11)),X_125) ),
inference(resolve,[$cnf( $equal(multiply(add(X_125,X_125),n1),X_125) )],[refute_0_470,refute_0_768]) ).
cnf(refute_0_770,plain,
add(X_125,X_125) = add(multiply(X_11,inverse(X_11)),X_125),
inference(resolve,[$cnf( $equal(add(X_125,X_125),add(multiply(X_11,inverse(X_11)),multiply(add(X_125,X_125),n1))) )],[refute_0_767,refute_0_769]) ).
cnf(refute_0_771,plain,
add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) = add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142)))),
inference(subst,[],[refute_0_770:[bind(X_11,$fot(X_142)),bind(X_125,$fot(inverse(multiply(X_142,inverse(X_142)))))]]) ).
cnf(refute_0_772,plain,
add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142)))) = n1,
inference(subst,[],[additive_inverse:[bind(X,$fot(multiply(X_142,inverse(X_142))))]]) ).
cnf(refute_0_773,plain,
( add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142)))) != n1
| add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) != add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142))))
| add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))),add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142))))) ),[1],$fot(n1)]]) ).
cnf(refute_0_774,plain,
( add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) != add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142))))
| add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) = n1 ),
inference(resolve,[$cnf( $equal(add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142)))),n1) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) = n1,
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))),add(multiply(X_142,inverse(X_142)),inverse(multiply(X_142,inverse(X_142))))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) = add(inverse(n1),inverse(multiply(X_142,inverse(X_142)))),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(inverse(multiply(X_142,inverse(X_142)))))]]) ).
cnf(refute_0_777,plain,
( add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) != add(inverse(n1),inverse(multiply(X_142,inverse(X_142))))
| add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) != n1
| add(inverse(n1),inverse(multiply(X_142,inverse(X_142)))) = n1 ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))),n1) ),[0],$fot(add(inverse(n1),inverse(multiply(X_142,inverse(X_142)))))]]) ).
cnf(refute_0_778,plain,
( add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))) != n1
| add(inverse(n1),inverse(multiply(X_142,inverse(X_142)))) = n1 ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))),add(inverse(n1),inverse(multiply(X_142,inverse(X_142))))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
add(inverse(n1),inverse(multiply(X_142,inverse(X_142)))) = n1,
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_142,inverse(X_142))),inverse(multiply(X_142,inverse(X_142)))),n1) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))) = n1,
inference(subst,[],[refute_0_779:[bind(X_142,$fot(X_144))]]) ).
cnf(refute_0_781,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))))) != inverse(multiply(X_144,inverse(X_144)))
| add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))) != n1
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = inverse(multiply(X_144,inverse(X_144))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))))),inverse(multiply(X_144,inverse(X_144)))) ),[0,1,1],$fot(n1)]]) ).
cnf(refute_0_782,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))))) != inverse(multiply(X_144,inverse(X_144)))
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = inverse(multiply(X_144,inverse(X_144))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))),n1) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = inverse(multiply(X_144,inverse(X_144))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))))),inverse(multiply(X_144,inverse(X_144)))) )],[refute_0_766,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(n1,n1) = n1,
inference(subst,[],[refute_0_626:[bind(X_127,$fot(n1))]]) ).
cnf(refute_0_785,plain,
multiply(n1,multiply(n1,n1)) = multiply(n1,multiply(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(n1,multiply(n1,n1)))]]) ).
cnf(refute_0_786,plain,
( multiply(n1,multiply(n1,n1)) != multiply(n1,multiply(n1,n1))
| multiply(n1,n1) != n1
| multiply(n1,multiply(n1,n1)) = multiply(n1,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(n1,multiply(n1,n1)),multiply(n1,multiply(n1,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_787,plain,
( multiply(n1,n1) != n1
| multiply(n1,multiply(n1,n1)) = multiply(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(n1,n1)),multiply(n1,multiply(n1,n1))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
multiply(n1,multiply(n1,n1)) = multiply(n1,n1),
inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_784,refute_0_787]) ).
cnf(refute_0_789,plain,
add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) = add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(inverse(multiply(X_144,inverse(X_144)))))]]) ).
cnf(refute_0_790,plain,
( add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) != add(inverse(n1),inverse(multiply(X_144,inverse(X_144))))
| add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))) != n1
| add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) = n1 ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))))),bind(Y0,$fot(add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_791,plain,
( add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))) != n1
| add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) = n1 ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),add(inverse(n1),inverse(multiply(X_144,inverse(X_144))))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) = n1,
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(multiply(X_144,inverse(X_144)))),n1) )],[refute_0_780,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),
introduced(tautology,[refl,[$fot(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)))]]) ).
cnf(refute_0_794,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) != multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1))
| add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) != n1
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(n1,multiply(n1,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1))) ),[1,0],$fot(n1)]]) ).
cnf(refute_0_795,plain,
( add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))) != n1
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(n1,multiply(n1,n1)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(n1,multiply(n1,n1)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),n1) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) != multiply(n1,multiply(n1,n1))
| multiply(n1,multiply(n1,n1)) != multiply(n1,n1)
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(n1,n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)))),bind(Y0,$fot(multiply(n1,multiply(n1,n1)))),bind(Z0,$fot(multiply(n1,n1)))]]) ).
cnf(refute_0_798,plain,
( multiply(n1,multiply(n1,n1)) != multiply(n1,n1)
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(n1,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),multiply(n1,multiply(n1,n1))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = multiply(n1,n1),
inference(resolve,[$cnf( $equal(multiply(n1,multiply(n1,n1)),multiply(n1,n1)) )],[refute_0_788,refute_0_798]) ).
cnf(refute_0_800,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) != multiply(n1,n1)
| multiply(n1,n1) != n1
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = n1 ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)))),bind(Y0,$fot(multiply(n1,n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_801,plain,
( multiply(n1,n1) != n1
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = n1 ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),multiply(n1,n1)) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) = n1,
inference(resolve,[$cnf( $equal(multiply(n1,n1),n1) )],[refute_0_784,refute_0_801]) ).
cnf(refute_0_803,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) != inverse(multiply(X_144,inverse(X_144)))
| multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) != n1
| n1 = inverse(multiply(X_144,inverse(X_144))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),inverse(multiply(X_144,inverse(X_144)))) ),[0],$fot(n1)]]) ).
cnf(refute_0_804,plain,
( multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)) != inverse(multiply(X_144,inverse(X_144)))
| n1 = inverse(multiply(X_144,inverse(X_144))) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),n1) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
n1 = inverse(multiply(X_144,inverse(X_144))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(multiply(X_144,inverse(X_144))),inverse(multiply(X_144,inverse(X_144)))),multiply(n1,n1)),inverse(multiply(X_144,inverse(X_144)))) )],[refute_0_783,refute_0_804]) ).
cnf(refute_0_806,plain,
n1 = inverse(multiply(n1,inverse(n1))),
inference(subst,[],[refute_0_805:[bind(X_144,$fot(n1))]]) ).
cnf(refute_0_807,plain,
multiply(n1,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_30:[bind(X,$fot(n1))]]) ).
cnf(refute_0_808,plain,
( multiply(n1,inverse(n1)) != inverse(n1)
| n1 != inverse(multiply(n1,inverse(n1)))
| n1 = inverse(inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(n1,inverse(multiply(n1,inverse(n1)))) ),[1,0],$fot(inverse(n1))]]) ).
cnf(refute_0_809,plain,
( n1 != inverse(multiply(n1,inverse(n1)))
| n1 = inverse(inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(n1,inverse(n1)),inverse(n1)) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
n1 = inverse(inverse(n1)),
inference(resolve,[$cnf( $equal(n1,inverse(multiply(n1,inverse(n1)))) )],[refute_0_806,refute_0_809]) ).
cnf(refute_0_811,plain,
( n1 != inverse(inverse(n1))
| inverse(inverse(n1)) = n1 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(n1)),bind(Y0,$fot(inverse(inverse(n1))))]]) ).
cnf(refute_0_812,plain,
inverse(inverse(n1)) = n1,
inference(resolve,[$cnf( $equal(n1,inverse(inverse(n1))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
( multiply(X_147,multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| inverse(inverse(n1)) != n1
| multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,inverse(inverse(n1))))),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) ),[0,1,1,1],$fot(n1)]]) ).
cnf(refute_0_814,plain,
( multiply(X_147,multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),
inference(resolve,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,inverse(inverse(n1))))),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) )],[refute_0_765,refute_0_814]) ).
cnf(refute_0_816,plain,
multiply(inverse(n1),n1) = inverse(n1),
inference(subst,[],[refute_0_715:[bind(X_51,$fot(n1))]]) ).
cnf(refute_0_817,plain,
add(X_147,n1) = n1,
inference(subst,[],[refute_0_460:[bind(X,$fot(X_147))]]) ).
cnf(refute_0_818,plain,
multiply(inverse(n1),add(X_147,n1)) = multiply(inverse(n1),add(X_147,n1)),
introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(X_147,n1)))]]) ).
cnf(refute_0_819,plain,
( multiply(inverse(n1),add(X_147,n1)) != multiply(inverse(n1),add(X_147,n1))
| add(X_147,n1) != n1
| multiply(inverse(n1),add(X_147,n1)) = multiply(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(X_147,n1)),multiply(inverse(n1),add(X_147,n1))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_820,plain,
( add(X_147,n1) != n1
| multiply(inverse(n1),add(X_147,n1)) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_147,n1)),multiply(inverse(n1),add(X_147,n1))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
multiply(inverse(n1),add(X_147,n1)) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(X_147,n1),n1) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
( multiply(inverse(n1),add(X_147,n1)) != multiply(inverse(n1),n1)
| multiply(inverse(n1),n1) != inverse(n1)
| multiply(inverse(n1),add(X_147,n1)) = inverse(n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(inverse(n1),add(X_147,n1)))),bind(Y0,$fot(multiply(inverse(n1),n1))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_823,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| multiply(inverse(n1),add(X_147,n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_147,n1)),multiply(inverse(n1),n1)) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
multiply(inverse(n1),add(X_147,n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_816,refute_0_823]) ).
cnf(refute_0_825,plain,
multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(X_147,multiply(inverse(n1),add(X_147,n1))),
introduced(tautology,[refl,[$fot(multiply(X_147,multiply(inverse(n1),add(X_147,n1))))]]) ).
cnf(refute_0_826,plain,
( multiply(X_147,multiply(inverse(n1),add(X_147,n1))) != multiply(X_147,multiply(inverse(n1),add(X_147,n1)))
| multiply(inverse(n1),add(X_147,n1)) != inverse(n1)
| multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(X_147,inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,n1))),multiply(X_147,multiply(inverse(n1),add(X_147,n1)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_827,plain,
( multiply(inverse(n1),add(X_147,n1)) != inverse(n1)
| multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(X_147,inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,n1))),multiply(X_147,multiply(inverse(n1),add(X_147,n1)))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
multiply(X_147,multiply(inverse(n1),add(X_147,n1))) = multiply(X_147,inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_147,n1)),inverse(n1)) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
( multiply(X_147,multiply(inverse(n1),add(X_147,n1))) != multiply(X_147,inverse(n1))
| multiply(X_147,multiply(inverse(n1),add(X_147,n1))) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| multiply(X_147,inverse(n1)) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,n1))),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) ),[0],$fot(multiply(X_147,inverse(n1)))]]) ).
cnf(refute_0_830,plain,
( multiply(X_147,multiply(inverse(n1),add(X_147,n1))) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| multiply(X_147,inverse(n1)) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) ),
inference(resolve,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,n1))),multiply(X_147,inverse(n1))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
add(X_147,inverse(inverse(n1))) = add(X_147,inverse(inverse(n1))),
introduced(tautology,[refl,[$fot(add(X_147,inverse(inverse(n1))))]]) ).
cnf(refute_0_832,plain,
( add(X_147,inverse(inverse(n1))) != add(X_147,inverse(inverse(n1)))
| inverse(inverse(n1)) != n1
| add(X_147,inverse(inverse(n1))) = add(X_147,n1) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_147,inverse(inverse(n1))),add(X_147,inverse(inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_833,plain,
( inverse(inverse(n1)) != n1
| add(X_147,inverse(inverse(n1))) = add(X_147,n1) ),
inference(resolve,[$cnf( $equal(add(X_147,inverse(inverse(n1))),add(X_147,inverse(inverse(n1)))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
add(X_147,inverse(inverse(n1))) = add(X_147,n1),
inference(resolve,[$cnf( $equal(inverse(inverse(n1)),n1) )],[refute_0_812,refute_0_833]) ).
cnf(refute_0_835,plain,
( add(X_147,inverse(inverse(n1))) != add(X_147,n1)
| add(X_147,n1) != n1
| add(X_147,inverse(inverse(n1))) = n1 ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(X_147,inverse(inverse(n1))))),bind(Y0,$fot(add(X_147,n1))),bind(Z0,$fot(n1))]]) ).
cnf(refute_0_836,plain,
( add(X_147,n1) != n1
| add(X_147,inverse(inverse(n1))) = n1 ),
inference(resolve,[$cnf( $equal(add(X_147,inverse(inverse(n1))),add(X_147,n1)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
add(X_147,inverse(inverse(n1))) = n1,
inference(resolve,[$cnf( $equal(add(X_147,n1),n1) )],[refute_0_817,refute_0_836]) ).
cnf(refute_0_838,plain,
multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),
introduced(tautology,[refl,[$fot(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))))]]) ).
cnf(refute_0_839,plain,
( multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| add(X_147,inverse(inverse(n1))) != n1
| multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = multiply(inverse(n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_840,plain,
( add(X_147,inverse(inverse(n1))) != n1
| multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = multiply(inverse(n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = multiply(inverse(n1),n1),
inference(resolve,[$cnf( $equal(add(X_147,inverse(inverse(n1))),n1) )],[refute_0_837,refute_0_840]) ).
cnf(refute_0_842,plain,
( multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) != multiply(inverse(n1),n1)
| multiply(inverse(n1),n1) != inverse(n1)
| multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = inverse(n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))))),bind(Y0,$fot(multiply(inverse(n1),n1))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_843,plain,
( multiply(inverse(n1),n1) != inverse(n1)
| multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),multiply(inverse(n1),n1)) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),n1),inverse(n1)) )],[refute_0_816,refute_0_843]) ).
cnf(refute_0_845,plain,
( multiply(X_147,inverse(n1)) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| multiply(inverse(n1),add(X_147,inverse(inverse(n1)))) != inverse(n1)
| multiply(X_147,inverse(n1)) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_147,inverse(n1)),inverse(n1)) ),[0],$fot(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))))]]) ).
cnf(refute_0_846,plain,
( multiply(X_147,inverse(n1)) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| multiply(X_147,inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(X_147,inverse(inverse(n1)))),inverse(n1)) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
( multiply(X_147,multiply(inverse(n1),add(X_147,n1))) != multiply(inverse(n1),add(X_147,inverse(inverse(n1))))
| multiply(X_147,inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(X_147,inverse(n1)),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) )],[refute_0_830,refute_0_846]) ).
cnf(refute_0_848,plain,
multiply(X_147,inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(X_147,multiply(inverse(n1),add(X_147,n1))),multiply(inverse(n1),add(X_147,inverse(inverse(n1))))) )],[refute_0_815,refute_0_847]) ).
cnf(refute_0_849,plain,
multiply(Z,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_848:[bind(X_147,$fot(Z))]]) ).
cnf(refute_0_850,plain,
( multiply(Z,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(multiply(Y,inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))) ),[1,1],$fot(inverse(n1))]]) ).
cnf(refute_0_851,plain,
( multiply(inverse(n1),add(Y,Z)) != add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))
| multiply(inverse(n1),add(Y,Z)) = add(multiply(Y,inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(Z,inverse(n1)),inverse(n1)) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
multiply(inverse(n1),add(Y,Z)) = add(multiply(Y,inverse(n1)),inverse(n1)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))) )],[refute_0_764,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(Y,inverse(n1)) = inverse(n1),
inference(subst,[],[refute_0_848:[bind(X_147,$fot(Y))]]) ).
cnf(refute_0_854,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_855,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( $equal(multiply(Y,inverse(n1)),inverse(n1)) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
multiply(inverse(n1),add(Y,Z)) = add(inverse(n1),multiply(Z,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),multiply(Z,inverse(n1)))) )],[refute_0_764,refute_0_855]) ).
cnf(refute_0_857,plain,
pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y)))),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_858,plain,
add(inverse(Y),inverse(Y)) = add(inverse(n1),inverse(Y)),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(inverse(Y)))]]) ).
cnf(refute_0_859,plain,
( add(inverse(Y),inverse(Y)) != add(inverse(n1),inverse(Y))
| add(inverse(n1),inverse(Y)) = add(inverse(Y),inverse(Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(add(inverse(Y),inverse(Y)))),bind(Y0,$fot(add(inverse(n1),inverse(Y))))]]) ).
cnf(refute_0_860,plain,
add(inverse(n1),inverse(Y)) = add(inverse(Y),inverse(Y)),
inference(resolve,[$cnf( $equal(add(inverse(Y),inverse(Y)),add(inverse(n1),inverse(Y))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
( add(inverse(n1),inverse(Y)) != add(inverse(Y),inverse(Y))
| pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))
| pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))) ),[1,1,1],$fot(add(inverse(Y),inverse(Y)))]]) ).
cnf(refute_0_862,plain,
( pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))
| pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),inverse(Y)),add(inverse(Y),inverse(Y))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(n1),inverse(Y))))) )],[refute_0_857,refute_0_862]) ).
cnf(refute_0_864,plain,
multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,add(inverse(Y),inverse(Y))),
introduced(tautology,[refl,[$fot(multiply(Z,add(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_865,plain,
( multiply(Z,add(inverse(Y),inverse(Y))) != multiply(Z,add(inverse(Y),inverse(Y)))
| add(inverse(Y),inverse(Y)) != multiply(inverse(Y),n1)
| multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,multiply(inverse(Y),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,add(inverse(Y),inverse(Y))),multiply(Z,add(inverse(Y),inverse(Y)))) ),[1,1],$fot(multiply(inverse(Y),n1))]]) ).
cnf(refute_0_866,plain,
( add(inverse(Y),inverse(Y)) != multiply(inverse(Y),n1)
| multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,multiply(inverse(Y),n1)) ),
inference(resolve,[$cnf( $equal(multiply(Z,add(inverse(Y),inverse(Y))),multiply(Z,add(inverse(Y),inverse(Y)))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
multiply(Z,add(inverse(Y),inverse(Y))) = multiply(Z,multiply(inverse(Y),n1)),
inference(resolve,[$cnf( $equal(add(inverse(Y),inverse(Y)),multiply(inverse(Y),n1)) )],[refute_0_657,refute_0_866]) ).
cnf(refute_0_868,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))),
introduced(tautology,[refl,[$fot(add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))))]]) ).
cnf(refute_0_869,plain,
( multiply(Z,add(inverse(Y),inverse(Y))) != multiply(Z,multiply(inverse(Y),n1))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))) ),[1,1],$fot(multiply(Z,multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_870,plain,
( multiply(Z,add(inverse(Y),inverse(Y))) != multiply(Z,multiply(inverse(Y),n1))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),
inference(resolve,[$cnf( $equal(multiply(Z,add(inverse(Y),inverse(Y))),multiply(Z,multiply(inverse(Y),n1))) )],[refute_0_867,refute_0_870]) ).
cnf(refute_0_872,plain,
( add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))
| pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))) ),[1],$fot(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))))]]) ).
cnf(refute_0_873,plain,
( pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))
| pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y)))),add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
pixley(inverse(n1),Y,Z) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,add(inverse(Y),inverse(Y))))) )],[refute_0_863,refute_0_873]) ).
cnf(refute_0_875,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) = multiply(inverse(Y),add(inverse(n1),Z)),
inference(subst,[],[refute_0_5:[bind(X,$fot(inverse(Y))),bind(Y,$fot(inverse(n1)))]]) ).
cnf(refute_0_876,plain,
multiply(inverse(Y),n1) = inverse(Y),
inference(subst,[],[refute_0_715:[bind(X_51,$fot(Y))]]) ).
cnf(refute_0_877,plain,
multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,multiply(inverse(Y),n1)),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(inverse(Y),n1)))]]) ).
cnf(refute_0_878,plain,
( multiply(Z,multiply(inverse(Y),n1)) != multiply(Z,multiply(inverse(Y),n1))
| multiply(inverse(Y),n1) != inverse(Y)
| multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(inverse(Y),n1)),multiply(Z,multiply(inverse(Y),n1))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_879,plain,
( multiply(inverse(Y),n1) != inverse(Y)
| multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(Y),n1)),multiply(Z,multiply(inverse(Y),n1))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
multiply(Z,multiply(inverse(Y),n1)) = multiply(Z,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),n1),inverse(Y)) )],[refute_0_876,refute_0_879]) ).
cnf(refute_0_881,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),
introduced(tautology,[refl,[$fot(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))))]]) ).
cnf(refute_0_882,plain,
( multiply(Z,multiply(inverse(Y),n1)) != multiply(Z,inverse(Y))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) ),[1,1],$fot(multiply(Z,inverse(Y)))]]) ).
cnf(refute_0_883,plain,
( multiply(Z,multiply(inverse(Y),n1)) != multiply(Z,inverse(Y))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(inverse(Y),n1)),multiply(Z,inverse(Y))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
( add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y)))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(inverse(n1),Z))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = multiply(inverse(Y),add(inverse(n1),Z)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))))),bind(Y0,$fot(add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))))),bind(Z0,$fot(multiply(inverse(Y),add(inverse(n1),Z))))]]) ).
cnf(refute_0_886,plain,
( add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))) != multiply(inverse(Y),add(inverse(n1),Z))
| add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = multiply(inverse(Y),add(inverse(n1),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y)))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) = multiply(inverse(Y),add(inverse(n1),Z)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,inverse(Y))),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_875,refute_0_886]) ).
cnf(refute_0_888,plain,
( add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))) != multiply(inverse(Y),add(inverse(n1),Z))
| pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),add(inverse(n1),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) ),[1],$fot(multiply(inverse(Y),add(inverse(n1),Z)))]]) ).
cnf(refute_0_889,plain,
( pixley(inverse(n1),Y,Z) != add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),add(inverse(n1),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1))),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
pixley(inverse(n1),Y,Z) = multiply(inverse(Y),add(inverse(n1),Z)),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),add(multiply(inverse(n1),inverse(Y)),multiply(Z,multiply(inverse(Y),n1)))) )],[refute_0_874,refute_0_889]) ).
cnf(refute_0_891,plain,
( pixley(inverse(n1),Y,Z) != multiply(inverse(Y),add(inverse(n1),Z))
| multiply(inverse(Y),add(inverse(n1),Z)) = pixley(inverse(n1),Y,Z) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(pixley(inverse(n1),Y,Z))),bind(Y0,$fot(multiply(inverse(Y),add(inverse(n1),Z))))]]) ).
cnf(refute_0_892,plain,
multiply(inverse(Y),add(inverse(n1),Z)) = pixley(inverse(n1),Y,Z),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
multiply(inverse(n1),add(inverse(n1),Z)) = pixley(inverse(n1),n1,Z),
inference(subst,[],[refute_0_892:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_894,plain,
add(inverse(n1),multiply(Z,inverse(n1))) = multiply(inverse(n1),add(inverse(n1),Z)),
inference(subst,[],[refute_0_669:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_895,plain,
( multiply(inverse(n1),add(inverse(n1),Z)) != pixley(inverse(n1),n1,Z)
| add(inverse(n1),multiply(Z,inverse(n1))) != multiply(inverse(n1),add(inverse(n1),Z))
| add(inverse(n1),multiply(Z,inverse(n1))) = pixley(inverse(n1),n1,Z) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(inverse(n1),multiply(Z,inverse(n1))))),bind(Y0,$fot(multiply(inverse(n1),add(inverse(n1),Z)))),bind(Z0,$fot(pixley(inverse(n1),n1,Z)))]]) ).
cnf(refute_0_896,plain,
( multiply(inverse(n1),add(inverse(n1),Z)) != pixley(inverse(n1),n1,Z)
| add(inverse(n1),multiply(Z,inverse(n1))) = pixley(inverse(n1),n1,Z) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,inverse(n1))),multiply(inverse(n1),add(inverse(n1),Z))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
add(inverse(n1),multiply(Z,inverse(n1))) = pixley(inverse(n1),n1,Z),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(inverse(n1),Z)),pixley(inverse(n1),n1,Z)) )],[refute_0_893,refute_0_896]) ).
cnf(refute_0_898,plain,
( multiply(inverse(n1),add(Y,Z)) != add(inverse(n1),multiply(Z,inverse(n1)))
| add(inverse(n1),multiply(Z,inverse(n1))) != pixley(inverse(n1),n1,Z)
| multiply(inverse(n1),add(Y,Z)) = pixley(inverse(n1),n1,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(n1),add(Y,Z)),pixley(inverse(n1),n1,Z)) ),[0],$fot(add(inverse(n1),multiply(Z,inverse(n1))))]]) ).
cnf(refute_0_899,plain,
( multiply(inverse(n1),add(Y,Z)) != add(inverse(n1),multiply(Z,inverse(n1)))
| multiply(inverse(n1),add(Y,Z)) = pixley(inverse(n1),n1,Z) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(Z,inverse(n1))),pixley(inverse(n1),n1,Z)) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
multiply(inverse(n1),add(Y,Z)) = pixley(inverse(n1),n1,Z),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(inverse(n1),multiply(Z,inverse(n1)))) )],[refute_0_856,refute_0_899]) ).
cnf(refute_0_901,plain,
( multiply(inverse(n1),add(Y,Z)) != add(multiply(Y,inverse(n1)),inverse(n1))
| multiply(inverse(n1),add(Y,Z)) != pixley(inverse(n1),n1,Z)
| pixley(inverse(n1),n1,Z) = add(multiply(Y,inverse(n1)),inverse(n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),inverse(n1))) ),[0],$fot(pixley(inverse(n1),n1,Z))]]) ).
cnf(refute_0_902,plain,
( multiply(inverse(n1),add(Y,Z)) != add(multiply(Y,inverse(n1)),inverse(n1))
| pixley(inverse(n1),n1,Z) = add(multiply(Y,inverse(n1)),inverse(n1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),pixley(inverse(n1),n1,Z)) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
pixley(inverse(n1),n1,inverse(n1)) = inverse(n1),
inference(subst,[],[pixley3:[bind(X,$fot(inverse(n1))),bind(Y,$fot(n1))]]) ).
cnf(refute_0_904,plain,
multiply(inverse(n1),add(Y,inverse(n1))) = pixley(inverse(n1),n1,inverse(n1)),
inference(subst,[],[refute_0_900:[bind(Z,$fot(inverse(n1)))]]) ).
cnf(refute_0_905,plain,
( multiply(inverse(n1),add(Y,inverse(n1))) != pixley(inverse(n1),n1,inverse(n1))
| pixley(inverse(n1),n1,inverse(n1)) != inverse(n1)
| multiply(inverse(n1),add(Y,inverse(n1))) = inverse(n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(inverse(n1),add(Y,inverse(n1))))),bind(Y0,$fot(pixley(inverse(n1),n1,inverse(n1)))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_906,plain,
( pixley(inverse(n1),n1,inverse(n1)) != inverse(n1)
| multiply(inverse(n1),add(Y,inverse(n1))) = inverse(n1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,inverse(n1))),pixley(inverse(n1),n1,inverse(n1))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
multiply(inverse(n1),add(Y,inverse(n1))) = inverse(n1),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,inverse(n1)),inverse(n1)) )],[refute_0_903,refute_0_906]) ).
cnf(refute_0_908,plain,
add(multiply(Y,inverse(n1)),inverse(n1)) = multiply(inverse(n1),add(Y,inverse(n1))),
inference(subst,[],[refute_0_632:[bind(X,$fot(inverse(n1)))]]) ).
cnf(refute_0_909,plain,
( multiply(inverse(n1),add(Y,inverse(n1))) != inverse(n1)
| add(multiply(Y,inverse(n1)),inverse(n1)) != multiply(inverse(n1),add(Y,inverse(n1)))
| add(multiply(Y,inverse(n1)),inverse(n1)) = inverse(n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(Y,inverse(n1)),inverse(n1)))),bind(Y0,$fot(multiply(inverse(n1),add(Y,inverse(n1))))),bind(Z0,$fot(inverse(n1)))]]) ).
cnf(refute_0_910,plain,
( multiply(inverse(n1),add(Y,inverse(n1))) != inverse(n1)
| add(multiply(Y,inverse(n1)),inverse(n1)) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,inverse(n1)),inverse(n1)),multiply(inverse(n1),add(Y,inverse(n1)))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
add(multiply(Y,inverse(n1)),inverse(n1)) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,inverse(n1))),inverse(n1)) )],[refute_0_907,refute_0_910]) ).
cnf(refute_0_912,plain,
( add(multiply(Y,inverse(n1)),inverse(n1)) != inverse(n1)
| pixley(inverse(n1),n1,Z) != add(multiply(Y,inverse(n1)),inverse(n1))
| pixley(inverse(n1),n1,Z) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),n1,Z),add(multiply(Y,inverse(n1)),inverse(n1))) ),[1],$fot(inverse(n1))]]) ).
cnf(refute_0_913,plain,
( pixley(inverse(n1),n1,Z) != add(multiply(Y,inverse(n1)),inverse(n1))
| pixley(inverse(n1),n1,Z) = inverse(n1) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,inverse(n1)),inverse(n1)),inverse(n1)) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
( multiply(inverse(n1),add(Y,Z)) != add(multiply(Y,inverse(n1)),inverse(n1))
| pixley(inverse(n1),n1,Z) = inverse(n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,Z),add(multiply(Y,inverse(n1)),inverse(n1))) )],[refute_0_902,refute_0_913]) ).
cnf(refute_0_915,plain,
pixley(inverse(n1),n1,Z) = inverse(n1),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),add(Y,Z)),add(multiply(Y,inverse(n1)),inverse(n1))) )],[refute_0_852,refute_0_914]) ).
cnf(refute_0_916,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X)))))),
inference(subst,[],[refute_0_13:[bind(Y,$fot(multiply(multiply(X,n1),add(X_73,X)))),bind(Z,$fot(multiply(X,n1)))]]) ).
cnf(refute_0_917,plain,
multiply(multiply(X_58,n1),n1) = add(multiply(X_58,n1),multiply(inverse(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))),multiply(X_58,n1))),
inference(subst,[],[refute_0_147:[bind(X_30,$fot(multiply(X_57,multiply(X_58,n1)))),bind(X_31,$fot(multiply(X_58,n1)))]]) ).
cnf(refute_0_918,plain,
multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1))),
inference(subst,[],[multiply_add_property:[bind(X,$fot(multiply(X_24,n1))),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_919,plain,
multiply(X_24,multiply(X_24,n1)) = multiply(X_24,n1),
inference(subst,[],[refute_0_58:[bind(X_15,$fot(X_24))]]) ).
cnf(refute_0_920,plain,
( multiply(X_24,multiply(X_24,n1)) != multiply(X_24,n1)
| multiply(multiply(X_24,n1),add(X_23,X_24)) != add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1)))
| multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,n1)) ),
introduced(tautology,[equality,[$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_921,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( $equal(multiply(X_24,multiply(X_24,n1)),multiply(X_24,n1)) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
multiply(multiply(X_24,n1),add(X_23,X_24)) = add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_24,n1),add(X_23,X_24)),add(multiply(X_23,multiply(X_24,n1)),multiply(X_24,multiply(X_24,n1)))) )],[refute_0_918,refute_0_921]) ).
cnf(refute_0_923,plain,
multiply(multiply(X_58,n1),add(X_57,X_58)) = add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1)),
inference(subst,[],[refute_0_922:[bind(X_23,$fot(X_57)),bind(X_24,$fot(X_58))]]) ).
cnf(refute_0_924,plain,
( multiply(multiply(X_58,n1),add(X_57,X_58)) != add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))
| add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1)) = multiply(multiply(X_58,n1),add(X_57,X_58)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(multiply(X_58,n1),add(X_57,X_58)))),bind(Y0,$fot(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))))]]) ).
cnf(refute_0_925,plain,
add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1)) = multiply(multiply(X_58,n1),add(X_57,X_58)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,n1),add(X_57,X_58)),add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
( multiply(multiply(X_58,n1),n1) != add(multiply(X_58,n1),multiply(inverse(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))),multiply(X_58,n1)))
| add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1)) != multiply(multiply(X_58,n1),add(X_57,X_58))
| multiply(multiply(X_58,n1),n1) = add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_58,n1),n1),add(multiply(X_58,n1),multiply(inverse(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))),multiply(X_58,n1)))) ),[1,1,0,0],$fot(multiply(multiply(X_58,n1),add(X_57,X_58)))]]) ).
cnf(refute_0_927,plain,
( multiply(multiply(X_58,n1),n1) != add(multiply(X_58,n1),multiply(inverse(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))),multiply(X_58,n1)))
| multiply(multiply(X_58,n1),n1) = add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1)),multiply(multiply(X_58,n1),add(X_57,X_58))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
multiply(multiply(X_58,n1),n1) = add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,n1),n1),add(multiply(X_58,n1),multiply(inverse(add(multiply(X_57,multiply(X_58,n1)),multiply(X_58,n1))),multiply(X_58,n1)))) )],[refute_0_917,refute_0_927]) ).
cnf(refute_0_929,plain,
add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))) = multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58))))),
inference(subst,[],[refute_0_69:[bind(X_23,$fot(X_58)),bind(X_24,$fot(inverse(multiply(multiply(X_58,n1),add(X_57,X_58)))))]]) ).
cnf(refute_0_930,plain,
( multiply(multiply(X_58,n1),n1) != add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1)))
| add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))) != multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58)))))
| multiply(multiply(X_58,n1),n1) = multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_58,n1),n1),multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58)))))) ),[0],$fot(add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))))]]) ).
cnf(refute_0_931,plain,
( multiply(multiply(X_58,n1),n1) != add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1)))
| multiply(multiply(X_58,n1),n1) = multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58))))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1))),multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58)))))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
multiply(multiply(X_58,n1),n1) = multiply(multiply(X_58,n1),add(X_58,inverse(multiply(multiply(X_58,n1),add(X_57,X_58))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_58,n1),n1),add(multiply(X_58,n1),multiply(inverse(multiply(multiply(X_58,n1),add(X_57,X_58))),multiply(X_58,n1)))) )],[refute_0_928,refute_0_931]) ).
cnf(refute_0_933,plain,
multiply(multiply(X,n1),n1) = multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))),
inference(subst,[],[refute_0_932:[bind(X_57,$fot(X_73)),bind(X_58,$fot(X))]]) ).
cnf(refute_0_934,plain,
( multiply(multiply(X,n1),n1) != multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X)))))
| multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))) = multiply(multiply(X,n1),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(multiply(X,n1),n1))),bind(Y0,$fot(multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X)))))))]]) ).
cnf(refute_0_935,plain,
multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))) = multiply(multiply(X,n1),n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),n1),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X)))))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
( multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))) != multiply(multiply(X,n1),n1)
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))))) ),[1,1],$fot(multiply(multiply(X,n1),n1))]]) ).
cnf(refute_0_937,plain,
( pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))),multiply(multiply(X,n1),n1)) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),add(X,inverse(multiply(multiply(X,n1),add(X_73,X))))))) )],[refute_0_916,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(add(X_131,X_131),add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))) = X_131,
inference(subst,[],[refute_0_615:[bind(Y,$fot(add(multiply(X_131,n1),multiply(X_131,n1)))),bind(X_36,$fot(X_131))]]) ).
cnf(refute_0_940,plain,
multiply(X_131,n1) = add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1)),
inference(subst,[],[refute_0_648:[bind(X_127,$fot(multiply(X_131,n1)))]]) ).
cnf(refute_0_941,plain,
( multiply(X_131,n1) != add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))
| add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1)) = multiply(X_131,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_131,n1))),bind(Y0,$fot(add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))))]]) ).
cnf(refute_0_942,plain,
add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1)) = multiply(X_131,n1),
inference(resolve,[$cnf( $equal(multiply(X_131,n1),add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
( multiply(add(X_131,X_131),add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))) != X_131
| add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1)) != multiply(X_131,n1)
| multiply(add(X_131,X_131),multiply(X_131,n1)) = X_131 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_131,X_131),add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))),X_131) ),[0,1],$fot(multiply(X_131,n1))]]) ).
cnf(refute_0_944,plain,
( multiply(add(X_131,X_131),add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))) != X_131
| multiply(add(X_131,X_131),multiply(X_131,n1)) = X_131 ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1)),multiply(X_131,n1)) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
multiply(add(X_131,X_131),multiply(X_131,n1)) = X_131,
inference(resolve,[$cnf( $equal(multiply(add(X_131,X_131),add(add(multiply(X_131,n1),multiply(X_131,n1)),multiply(X_131,n1))),X_131) )],[refute_0_939,refute_0_944]) ).
cnf(refute_0_946,plain,
multiply(add(X_132,X_132),multiply(X_132,n1)) = X_132,
inference(subst,[],[refute_0_945:[bind(X_131,$fot(X_132))]]) ).
cnf(refute_0_947,plain,
add(X_132,X_132) = add(inverse(n1),X_132),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(X_132))]]) ).
cnf(refute_0_948,plain,
( multiply(add(X_132,X_132),multiply(X_132,n1)) != X_132
| add(X_132,X_132) != add(inverse(n1),X_132)
| multiply(add(inverse(n1),X_132),multiply(X_132,n1)) = X_132 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_132,X_132),multiply(X_132,n1)),X_132) ),[0,0],$fot(add(inverse(n1),X_132))]]) ).
cnf(refute_0_949,plain,
( multiply(add(X_132,X_132),multiply(X_132,n1)) != X_132
| multiply(add(inverse(n1),X_132),multiply(X_132,n1)) = X_132 ),
inference(resolve,[$cnf( $equal(add(X_132,X_132),add(inverse(n1),X_132)) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
multiply(add(inverse(n1),X_132),multiply(X_132,n1)) = X_132,
inference(resolve,[$cnf( $equal(multiply(add(X_132,X_132),multiply(X_132,n1)),X_132) )],[refute_0_946,refute_0_949]) ).
cnf(refute_0_951,plain,
multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,add(n1,inverse(n1))),
inference(subst,[],[refute_0_950:[bind(X_132,$fot(multiply(X_12,add(n1,inverse(n1)))))]]) ).
cnf(refute_0_952,plain,
( multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,add(n1,inverse(n1)))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,add(n1,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,add(n1,inverse(n1)))) ),[0,0],$fot(pixley(n1,n1,X_12))]]) ).
cnf(refute_0_953,plain,
( multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,add(n1,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) )],[refute_0_566,refute_0_952]) ).
cnf(refute_0_954,plain,
multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,add(n1,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_951,refute_0_953]) ).
cnf(refute_0_955,plain,
multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) = multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))),
inference(subst,[],[refute_0_19:[bind(X_10,$fot(X_98)),bind(X_11,$fot(add(X_30,multiply(X_98,n1)))),bind(X_12,$fot(multiply(X_98,n1)))]]) ).
cnf(refute_0_956,plain,
multiply(multiply(X_62,n1),n1) = add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))),
inference(subst,[],[refute_0_147:[bind(X_31,$fot(multiply(X_62,n1)))]]) ).
cnf(refute_0_957,plain,
multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))) = add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))),
inference(subst,[],[refute_0_67:[bind(X_23,$fot(X_62)),bind(X_24,$fot(inverse(add(X_30,multiply(X_62,n1)))))]]) ).
cnf(refute_0_958,plain,
( multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))) != add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1)))
| add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))) = multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))))),bind(Y0,$fot(add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1)))))]]) ).
cnf(refute_0_959,plain,
add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))) = multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))),add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1)))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
( multiply(multiply(X_62,n1),n1) != add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1)))
| add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))) != multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1)))))
| multiply(multiply(X_62,n1),n1) = multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_62,n1),n1),multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1)))))) ),[0],$fot(add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))))]]) ).
cnf(refute_0_961,plain,
( multiply(multiply(X_62,n1),n1) != add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1)))
| multiply(multiply(X_62,n1),n1) = multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1))),multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1)))))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
multiply(multiply(X_62,n1),n1) = multiply(multiply(X_62,n1),add(X_62,inverse(add(X_30,multiply(X_62,n1))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_62,n1),n1),add(multiply(X_62,n1),multiply(inverse(add(X_30,multiply(X_62,n1))),multiply(X_62,n1)))) )],[refute_0_956,refute_0_961]) ).
cnf(refute_0_963,plain,
multiply(multiply(X_98,n1),n1) = multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))),
inference(subst,[],[refute_0_962:[bind(X_62,$fot(X_98))]]) ).
cnf(refute_0_964,plain,
( multiply(multiply(X_98,n1),n1) != multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))
| multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))) = multiply(multiply(X_98,n1),n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(multiply(X_98,n1),n1))),bind(Y0,$fot(multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))))]]) ).
cnf(refute_0_965,plain,
multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))) = multiply(multiply(X_98,n1),n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,n1),n1),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
( multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))) != multiply(multiply(X_98,n1),n1)
| multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) != multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))
| multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) ),[0,1],$fot(multiply(multiply(X_98,n1),n1))]]) ).
cnf(refute_0_967,plain,
( multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) != multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))
| multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))),multiply(multiply(X_98,n1),n1)) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) )],[refute_0_955,refute_0_967]) ).
cnf(refute_0_969,plain,
( multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))) != multiply(multiply(X_98,n1),n1)
| multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))
| multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) ),[1],$fot(multiply(multiply(X_98,n1),n1))]]) ).
cnf(refute_0_970,plain,
( multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))
| multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1))))),multiply(multiply(X_98,n1),n1)) )],[refute_0_965,refute_0_969]) ).
cnf(refute_0_971,plain,
multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,add(X_30,multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(multiply(X_98,n1),add(X_98,inverse(add(X_30,multiply(X_98,n1)))))) )],[refute_0_968,refute_0_970]) ).
cnf(refute_0_972,plain,
multiply(pixley(X_98,add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1),
inference(subst,[],[refute_0_971:[bind(X_30,$fot(add(multiply(X_98,n1),multiply(X_98,n1))))]]) ).
cnf(refute_0_973,plain,
multiply(X_98,n1) = add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),
inference(subst,[],[refute_0_648:[bind(X_127,$fot(multiply(X_98,n1)))]]) ).
cnf(refute_0_974,plain,
( multiply(X_98,n1) != add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1))
| add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)) = multiply(X_98,n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_98,n1))),bind(Y0,$fot(add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1))))]]) ).
cnf(refute_0_975,plain,
add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)) = multiply(X_98,n1),
inference(resolve,[$cnf( $equal(multiply(X_98,n1),add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
( multiply(pixley(X_98,add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(multiply(X_98,n1),n1)
| add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)) != multiply(X_98,n1)
| multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_98,add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(multiply(X_98,n1),n1)) ),[0,0,1],$fot(multiply(X_98,n1))]]) ).
cnf(refute_0_977,plain,
( multiply(pixley(X_98,add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(multiply(X_98,n1),n1)
| multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),multiply(X_98,n1)) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,add(add(multiply(X_98,n1),multiply(X_98,n1)),multiply(X_98,n1)),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(multiply(X_98,n1),n1)) )],[refute_0_972,refute_0_977]) ).
cnf(refute_0_979,plain,
pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)) = X_98,
inference(subst,[],[pixley2:[bind(X,$fot(X_98)),bind(Y,$fot(multiply(X_98,n1)))]]) ).
cnf(refute_0_980,plain,
multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),
introduced(tautology,[refl,[$fot(multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)))]]) ).
cnf(refute_0_981,plain,
( multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1))
| pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)) != X_98
| multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(X_98,multiply(multiply(X_98,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1))) ),[1,0],$fot(X_98)]]) ).
cnf(refute_0_982,plain,
( pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)) != X_98
| multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(X_98,multiply(multiply(X_98,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) = multiply(X_98,multiply(multiply(X_98,n1),n1)),
inference(resolve,[$cnf( $equal(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),X_98) )],[refute_0_979,refute_0_982]) ).
cnf(refute_0_984,plain,
( multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(X_98,multiply(multiply(X_98,n1),n1))
| multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(multiply(X_98,n1),n1)
| multiply(X_98,multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(multiply(X_98,n1),n1)) ),[0],$fot(multiply(X_98,multiply(multiply(X_98,n1),n1)))]]) ).
cnf(refute_0_985,plain,
( multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)) != multiply(multiply(X_98,n1),n1)
| multiply(X_98,multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(X_98,multiply(multiply(X_98,n1),n1))) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
multiply(X_98,multiply(multiply(X_98,n1),n1)) = multiply(multiply(X_98,n1),n1),
inference(resolve,[$cnf( $equal(multiply(pixley(X_98,multiply(X_98,n1),multiply(X_98,n1)),multiply(multiply(X_98,n1),n1)),multiply(multiply(X_98,n1),n1)) )],[refute_0_978,refute_0_985]) ).
cnf(refute_0_987,plain,
multiply(X_12,multiply(multiply(X_12,n1),n1)) = multiply(multiply(X_12,n1),n1),
inference(subst,[],[refute_0_986:[bind(X_98,$fot(X_12))]]) ).
cnf(refute_0_988,plain,
multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,add(n1,inverse(n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(n1,inverse(n1))))]]) ).
cnf(refute_0_989,plain,
( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,add(n1,inverse(n1)))
| add(n1,inverse(n1)) != n1
| multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) ),[1,1],$fot(n1)]]) ).
cnf(refute_0_990,plain,
( add(n1,inverse(n1)) != n1
| multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
multiply(X_12,add(n1,inverse(n1))) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(add(n1,inverse(n1)),n1) )],[refute_0_36,refute_0_990]) ).
cnf(refute_0_992,plain,
multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(multiply(X_12,add(n1,inverse(n1))),n1),
introduced(tautology,[refl,[$fot(multiply(multiply(X_12,add(n1,inverse(n1))),n1))]]) ).
cnf(refute_0_993,plain,
( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,n1)
| multiply(multiply(X_12,add(n1,inverse(n1))),n1) != multiply(multiply(X_12,add(n1,inverse(n1))),n1)
| multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(multiply(X_12,n1),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_12,add(n1,inverse(n1))),n1),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) ),[1,0],$fot(multiply(X_12,n1))]]) ).
cnf(refute_0_994,plain,
( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,n1)
| multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(multiply(X_12,n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,add(n1,inverse(n1))),n1),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(multiply(X_12,n1),n1),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,n1)) )],[refute_0_991,refute_0_994]) ).
cnf(refute_0_996,plain,
multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),
introduced(tautology,[refl,[$fot(multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))]]) ).
cnf(refute_0_997,plain,
( multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1))
| multiply(multiply(X_12,add(n1,inverse(n1))),n1) != multiply(multiply(X_12,n1),n1)
| multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,n1),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) ),[1,1],$fot(multiply(multiply(X_12,n1),n1))]]) ).
cnf(refute_0_998,plain,
( multiply(multiply(X_12,add(n1,inverse(n1))),n1) != multiply(multiply(X_12,n1),n1)
| multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,n1),n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,add(n1,inverse(n1))),n1),multiply(multiply(X_12,n1),n1)) )],[refute_0_995,refute_0_998]) ).
cnf(refute_0_1000,plain,
multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),
introduced(tautology,[refl,[$fot(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)))]]) ).
cnf(refute_0_1001,plain,
( multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1))
| pixley(n1,n1,X_12) != X_12
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_1002,plain,
( pixley(n1,n1,X_12) != X_12
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),X_12) )],[refute_0_594,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,multiply(multiply(X_12,n1),n1))
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1))
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,n1),n1)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)))),bind(Y0,$fot(multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))),bind(Z0,$fot(multiply(X_12,multiply(multiply(X_12,n1),n1))))]]) ).
cnf(refute_0_1005,plain,
( multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,multiply(multiply(X_12,n1),n1))
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,n1),n1)) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(X_12,multiply(multiply(X_12,n1),n1)),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,multiply(multiply(X_12,n1),n1))) )],[refute_0_999,refute_0_1005]) ).
cnf(refute_0_1007,plain,
( multiply(X_12,multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,multiply(multiply(X_12,n1),n1))
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(multiply(X_12,n1),n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)))),bind(Y0,$fot(multiply(X_12,multiply(multiply(X_12,n1),n1)))),bind(Z0,$fot(multiply(multiply(X_12,n1),n1)))]]) ).
cnf(refute_0_1008,plain,
( multiply(X_12,multiply(multiply(X_12,n1),n1)) != multiply(multiply(X_12,n1),n1)
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(multiply(X_12,n1),n1) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,multiply(multiply(X_12,n1),n1))) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = multiply(multiply(X_12,n1),n1),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(multiply(X_12,n1),n1)),multiply(multiply(X_12,n1),n1)) )],[refute_0_987,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(multiply(X_12,n1),n1)
| multiply(multiply(X_12,n1),n1) = multiply(X_12,add(n1,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,add(n1,inverse(n1)))) ),[0],$fot(multiply(multiply(X_12,n1),n1))]]) ).
cnf(refute_0_1011,plain,
( multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(multiply(X_12,n1),n1) = multiply(X_12,add(n1,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(multiply(X_12,n1),n1)) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
( multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,n1)
| multiply(multiply(X_12,n1),n1) != multiply(X_12,add(n1,inverse(n1)))
| multiply(multiply(X_12,n1),n1) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_12,n1),n1),multiply(X_12,add(n1,inverse(n1)))) ),[1],$fot(multiply(X_12,n1))]]) ).
cnf(refute_0_1013,plain,
( multiply(multiply(X_12,n1),n1) != multiply(X_12,add(n1,inverse(n1)))
| multiply(multiply(X_12,n1),n1) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,n1)) )],[refute_0_991,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != multiply(X_12,add(n1,inverse(n1)))
| multiply(multiply(X_12,n1),n1) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),n1),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1011,refute_0_1013]) ).
cnf(refute_0_1015,plain,
multiply(multiply(X_12,n1),n1) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),multiply(multiply(X_12,add(n1,inverse(n1))),n1)),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_954,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiply(multiply(X,n1),n1) = multiply(X,n1),
inference(subst,[],[refute_0_1015:[bind(X_12,$fot(X))]]) ).
cnf(refute_0_1017,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)))]]) ).
cnf(refute_0_1018,plain,
( multiply(multiply(X,n1),n1) != multiply(X,n1)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))) ),[1,1],$fot(multiply(X,n1))]]) ).
cnf(refute_0_1019,plain,
( multiply(multiply(X,n1),n1) != multiply(X,n1)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),n1),multiply(X,n1)) )],[refute_0_1016,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))) ),[1],$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)))]]) ).
cnf(refute_0_1022,plain,
( pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(multiply(X,n1),n1))) )],[refute_0_938,refute_0_1022]) ).
cnf(refute_0_1024,plain,
pixley(X,X,X) = X,
inference(subst,[],[pixley3:[bind(Y,$fot(X))]]) ).
cnf(refute_0_1025,plain,
multiply(add(X_131,X_131),add(X_130,multiply(X_131,n1))) = X_131,
inference(subst,[],[refute_0_615:[bind(Y,$fot(X_130)),bind(X_36,$fot(X_131))]]) ).
cnf(refute_0_1026,plain,
add(X_131,X_131) = add(inverse(n1),X_131),
inference(subst,[],[refute_0_473:[bind(X_125,$fot(X_131))]]) ).
cnf(refute_0_1027,plain,
( multiply(add(X_131,X_131),add(X_130,multiply(X_131,n1))) != X_131
| add(X_131,X_131) != add(inverse(n1),X_131)
| multiply(add(inverse(n1),X_131),add(X_130,multiply(X_131,n1))) = X_131 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_131,X_131),add(X_130,multiply(X_131,n1))),X_131) ),[0,0],$fot(add(inverse(n1),X_131))]]) ).
cnf(refute_0_1028,plain,
( multiply(add(X_131,X_131),add(X_130,multiply(X_131,n1))) != X_131
| multiply(add(inverse(n1),X_131),add(X_130,multiply(X_131,n1))) = X_131 ),
inference(resolve,[$cnf( $equal(add(X_131,X_131),add(inverse(n1),X_131)) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
multiply(add(inverse(n1),X_131),add(X_130,multiply(X_131,n1))) = X_131,
inference(resolve,[$cnf( $equal(multiply(add(X_131,X_131),add(X_130,multiply(X_131,n1))),X_131) )],[refute_0_1025,refute_0_1028]) ).
cnf(refute_0_1030,plain,
multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(n1,inverse(n1))),
inference(subst,[],[refute_0_1029:[bind(X_130,$fot(X_154)),bind(X_131,$fot(multiply(X_12,add(n1,inverse(n1)))))]]) ).
cnf(refute_0_1031,plain,
( multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(n1,inverse(n1)))
| add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))) != pixley(n1,n1,X_12)
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(n1,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(n1,inverse(n1)))) ),[0,0],$fot(pixley(n1,n1,X_12))]]) ).
cnf(refute_0_1032,plain,
( multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(n1,inverse(n1))) ),
inference(resolve,[$cnf( $equal(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),pixley(n1,n1,X_12)) )],[refute_0_566,refute_0_1031]) ).
cnf(refute_0_1033,plain,
multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(n1,inverse(n1))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(n1),multiply(X_12,add(n1,inverse(n1)))),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1030,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( multiply(multiply(X_12,add(n1,inverse(n1))),n1) != multiply(multiply(X_12,n1),n1)
| multiply(multiply(X_12,n1),n1) != multiply(X_12,n1)
| multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(X_12,n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(multiply(X_12,add(n1,inverse(n1))),n1))),bind(Y0,$fot(multiply(multiply(X_12,n1),n1))),bind(Z0,$fot(multiply(X_12,n1)))]]) ).
cnf(refute_0_1035,plain,
( multiply(multiply(X_12,n1),n1) != multiply(X_12,n1)
| multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,add(n1,inverse(n1))),n1),multiply(multiply(X_12,n1),n1)) )],[refute_0_995,refute_0_1034]) ).
cnf(refute_0_1036,plain,
multiply(multiply(X_12,add(n1,inverse(n1))),n1) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,n1),n1),multiply(X_12,n1)) )],[refute_0_1015,refute_0_1035]) ).
cnf(refute_0_1037,plain,
add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),
introduced(tautology,[refl,[$fot(add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))]]) ).
cnf(refute_0_1038,plain,
( multiply(multiply(X_12,add(n1,inverse(n1))),n1) != multiply(X_12,n1)
| add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))
| add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = add(X_154,multiply(X_12,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) ),[1,1],$fot(multiply(X_12,n1))]]) ).
cnf(refute_0_1039,plain,
( multiply(multiply(X_12,add(n1,inverse(n1))),n1) != multiply(X_12,n1)
| add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = add(X_154,multiply(X_12,n1)) ),
inference(resolve,[$cnf( $equal(add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) = add(X_154,multiply(X_12,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_12,add(n1,inverse(n1))),n1),multiply(X_12,n1)) )],[refute_0_1036,refute_0_1039]) ).
cnf(refute_0_1041,plain,
multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),
introduced(tautology,[refl,[$fot(multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))))]]) ).
cnf(refute_0_1042,plain,
( multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))
| add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != add(X_154,multiply(X_12,n1))
| multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(X_12,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))) ),[1,1],$fot(add(X_154,multiply(X_12,n1)))]]) ).
cnf(refute_0_1043,plain,
( add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)) != add(X_154,multiply(X_12,n1))
| multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(X_12,n1))) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(X_12,n1))),
inference(resolve,[$cnf( $equal(add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)),add(X_154,multiply(X_12,n1))) )],[refute_0_1040,refute_0_1043]) ).
cnf(refute_0_1045,plain,
multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),
introduced(tautology,[refl,[$fot(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))))]]) ).
cnf(refute_0_1046,plain,
( multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))
| pixley(n1,n1,X_12) != X_12
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_1047,plain,
( pixley(n1,n1,X_12) != X_12
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),
inference(resolve,[$cnf( $equal(pixley(n1,n1,X_12),X_12) )],[refute_0_594,refute_0_1047]) ).
cnf(refute_0_1049,plain,
( multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(X_154,multiply(X_12,n1)))
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(X_12,n1))) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))))),bind(Y0,$fot(multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))))),bind(Z0,$fot(multiply(X_12,add(X_154,multiply(X_12,n1)))))]]) ).
cnf(refute_0_1050,plain,
( multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(X_154,multiply(X_12,n1)))
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(X_12,n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1)))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) = multiply(X_12,add(X_154,multiply(X_12,n1))),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(X_154,multiply(X_12,n1)))) )],[refute_0_1044,refute_0_1050]) ).
cnf(refute_0_1052,plain,
( multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(X_154,multiply(X_12,n1)))
| multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(X_12,add(X_154,multiply(X_12,n1))) = multiply(X_12,add(n1,inverse(n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(n1,inverse(n1)))) ),[0],$fot(multiply(X_12,add(X_154,multiply(X_12,n1))))]]) ).
cnf(refute_0_1053,plain,
( multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(X_12,add(X_154,multiply(X_12,n1))) = multiply(X_12,add(n1,inverse(n1))) ),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(X_154,multiply(X_12,n1)))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( multiply(X_12,add(X_154,multiply(X_12,n1))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(X_12,add(n1,inverse(n1))) != multiply(X_12,n1)
| multiply(X_12,add(X_154,multiply(X_12,n1))) = multiply(X_12,n1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,add(X_154,multiply(X_12,n1))),multiply(X_12,n1)) ),[0],$fot(multiply(X_12,add(n1,inverse(n1))))]]) ).
cnf(refute_0_1055,plain,
( multiply(X_12,add(X_154,multiply(X_12,n1))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(X_12,add(X_154,multiply(X_12,n1))) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(n1,inverse(n1))),multiply(X_12,n1)) )],[refute_0_991,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))) != multiply(X_12,add(n1,inverse(n1)))
| multiply(X_12,add(X_154,multiply(X_12,n1))) = multiply(X_12,n1) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_154,multiply(X_12,n1))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1053,refute_0_1055]) ).
cnf(refute_0_1057,plain,
multiply(X_12,add(X_154,multiply(X_12,n1))) = multiply(X_12,n1),
inference(resolve,[$cnf( $equal(multiply(pixley(n1,n1,X_12),add(X_154,multiply(multiply(X_12,add(n1,inverse(n1))),n1))),multiply(X_12,add(n1,inverse(n1)))) )],[refute_0_1033,refute_0_1056]) ).
cnf(refute_0_1058,plain,
multiply(X_36,add(Y,multiply(X_36,n1))) = multiply(X_36,n1),
inference(subst,[],[refute_0_1057:[bind(X_12,$fot(X_36)),bind(X_154,$fot(Y))]]) ).
cnf(refute_0_1059,plain,
multiply(add(X_162,X_162),add(X_162,X_162)) = add(X_162,X_162),
inference(subst,[],[refute_0_626:[bind(X_127,$fot(add(X_162,X_162)))]]) ).
cnf(refute_0_1060,plain,
multiply(add(X_122,X_122),add(X_161,multiply(add(X_122,X_122),n1))) = multiply(add(X_122,X_122),n1),
inference(subst,[],[refute_0_1057:[bind(X_12,$fot(add(X_122,X_122))),bind(X_154,$fot(X_161))]]) ).
cnf(refute_0_1061,plain,
( X_122 != multiply(add(X_122,X_122),n1)
| multiply(add(X_122,X_122),n1) = X_122 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_122)),bind(Y0,$fot(multiply(add(X_122,X_122),n1)))]]) ).
cnf(refute_0_1062,plain,
multiply(add(X_122,X_122),n1) = X_122,
inference(resolve,[$cnf( $equal(X_122,multiply(add(X_122,X_122),n1)) )],[refute_0_467,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( multiply(add(X_122,X_122),add(X_161,multiply(add(X_122,X_122),n1))) != multiply(add(X_122,X_122),n1)
| multiply(add(X_122,X_122),n1) != X_122
| multiply(add(X_122,X_122),add(X_161,X_122)) = multiply(add(X_122,X_122),n1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_122,X_122),add(X_161,multiply(add(X_122,X_122),n1))),multiply(add(X_122,X_122),n1)) ),[0,1,1],$fot(X_122)]]) ).
cnf(refute_0_1064,plain,
( multiply(add(X_122,X_122),add(X_161,multiply(add(X_122,X_122),n1))) != multiply(add(X_122,X_122),n1)
| multiply(add(X_122,X_122),add(X_161,X_122)) = multiply(add(X_122,X_122),n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),n1),X_122) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
multiply(add(X_122,X_122),add(X_161,X_122)) = multiply(add(X_122,X_122),n1),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(X_161,multiply(add(X_122,X_122),n1))),multiply(add(X_122,X_122),n1)) )],[refute_0_1060,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( multiply(add(X_122,X_122),add(X_161,X_122)) != multiply(add(X_122,X_122),n1)
| multiply(add(X_122,X_122),n1) != X_122
| multiply(add(X_122,X_122),add(X_161,X_122)) = X_122 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_122,X_122),add(X_161,X_122)),X_122) ),[0],$fot(multiply(add(X_122,X_122),n1))]]) ).
cnf(refute_0_1067,plain,
( multiply(add(X_122,X_122),add(X_161,X_122)) != multiply(add(X_122,X_122),n1)
| multiply(add(X_122,X_122),add(X_161,X_122)) = X_122 ),
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),n1),X_122) )],[refute_0_1062,refute_0_1066]) ).
cnf(refute_0_1068,plain,
multiply(add(X_122,X_122),add(X_161,X_122)) = X_122,
inference(resolve,[$cnf( $equal(multiply(add(X_122,X_122),add(X_161,X_122)),multiply(add(X_122,X_122),n1)) )],[refute_0_1065,refute_0_1067]) ).
cnf(refute_0_1069,plain,
multiply(add(X_162,X_162),add(X_162,X_162)) = X_162,
inference(subst,[],[refute_0_1068:[bind(X_122,$fot(X_162)),bind(X_161,$fot(X_162))]]) ).
cnf(refute_0_1070,plain,
( multiply(add(X_162,X_162),add(X_162,X_162)) != X_162
| multiply(add(X_162,X_162),add(X_162,X_162)) != add(X_162,X_162)
| X_162 = add(X_162,X_162) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_162,X_162),add(X_162,X_162)),add(X_162,X_162)) ),[0],$fot(X_162)]]) ).
cnf(refute_0_1071,plain,
( multiply(add(X_162,X_162),add(X_162,X_162)) != add(X_162,X_162)
| X_162 = add(X_162,X_162) ),
inference(resolve,[$cnf( $equal(multiply(add(X_162,X_162),add(X_162,X_162)),X_162) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
X_162 = add(X_162,X_162),
inference(resolve,[$cnf( $equal(multiply(add(X_162,X_162),add(X_162,X_162)),add(X_162,X_162)) )],[refute_0_1059,refute_0_1071]) ).
cnf(refute_0_1073,plain,
( X_162 != add(X_162,X_162)
| add(X_162,X_162) = X_162 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_162)),bind(Y0,$fot(add(X_162,X_162)))]]) ).
cnf(refute_0_1074,plain,
add(X_162,X_162) = X_162,
inference(resolve,[$cnf( $equal(X_162,add(X_162,X_162)) )],[refute_0_1072,refute_0_1073]) ).
cnf(refute_0_1075,plain,
add(X_36,X_36) = X_36,
inference(subst,[],[refute_0_1074:[bind(X_162,$fot(X_36))]]) ).
cnf(refute_0_1076,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,[$fot(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))))]]) ).
cnf(refute_0_1077,plain,
( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(add(X_36,X_36),add(Y,multiply(X_36,n1)))
| add(X_36,X_36) != X_36
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(X_36,add(Y,multiply(X_36,n1))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,multiply(X_36,n1)))) ),[1,0],$fot(X_36)]]) ).
cnf(refute_0_1078,plain,
( add(X_36,X_36) != X_36
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(X_36,add(Y,multiply(X_36,n1))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(add(X_36,X_36),add(Y,multiply(X_36,n1)))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(X_36,add(Y,multiply(X_36,n1))),
inference(resolve,[$cnf( $equal(add(X_36,X_36),X_36) )],[refute_0_1075,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( multiply(X_36,add(Y,multiply(X_36,n1))) != multiply(X_36,n1)
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(X_36,add(Y,multiply(X_36,n1)))
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(X_36,n1) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))))),bind(Y0,$fot(multiply(X_36,add(Y,multiply(X_36,n1))))),bind(Z0,$fot(multiply(X_36,n1)))]]) ).
cnf(refute_0_1081,plain,
( multiply(X_36,add(Y,multiply(X_36,n1))) != multiply(X_36,n1)
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(X_36,n1) ),
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(X_36,add(Y,multiply(X_36,n1)))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) = multiply(X_36,n1),
inference(resolve,[$cnf( $equal(multiply(X_36,add(Y,multiply(X_36,n1))),multiply(X_36,n1)) )],[refute_0_1058,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != X_36
| multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != multiply(X_36,n1)
| multiply(X_36,n1) = X_36 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),X_36) ),[0],$fot(multiply(X_36,n1))]]) ).
cnf(refute_0_1084,plain,
( multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))) != X_36
| multiply(X_36,n1) = X_36 ),
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),multiply(X_36,n1)) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
multiply(X_36,n1) = X_36,
inference(resolve,[$cnf( $equal(multiply(add(X_36,X_36),add(Y,multiply(X_36,n1))),X_36) )],[refute_0_615,refute_0_1084]) ).
cnf(refute_0_1086,plain,
multiply(X,n1) = X,
inference(subst,[],[refute_0_1085:[bind(X_36,$fot(X))]]) ).
cnf(refute_0_1087,plain,
pixley(X,X,multiply(X,n1)) = pixley(X,X,multiply(X,n1)),
introduced(tautology,[refl,[$fot(pixley(X,X,multiply(X,n1)))]]) ).
cnf(refute_0_1088,plain,
( multiply(X,n1) != X
| pixley(X,X,multiply(X,n1)) != pixley(X,X,multiply(X,n1))
| pixley(X,X,multiply(X,n1)) = pixley(X,X,X) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,X,multiply(X,n1)),pixley(X,X,multiply(X,n1))) ),[1,2],$fot(X)]]) ).
cnf(refute_0_1089,plain,
( multiply(X,n1) != X
| pixley(X,X,multiply(X,n1)) = pixley(X,X,X) ),
inference(resolve,[$cnf( $equal(pixley(X,X,multiply(X,n1)),pixley(X,X,multiply(X,n1))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
pixley(X,X,multiply(X,n1)) = pixley(X,X,X),
inference(resolve,[$cnf( $equal(multiply(X,n1),X) )],[refute_0_1086,refute_0_1089]) ).
cnf(refute_0_1091,plain,
multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))) = multiply(Y,X),
inference(subst,[],[refute_0_605:[bind(X_32,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_1092,plain,
multiply(X,add(Y,Y)) = add(multiply(Y,X),multiply(Y,X)),
inference(subst,[],[multiply_add_property:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_1093,plain,
( multiply(X,add(Y,Y)) != add(multiply(Y,X),multiply(Y,X))
| add(multiply(Y,X),multiply(Y,X)) = multiply(X,add(Y,Y)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,add(Y,Y)))),bind(Y0,$fot(add(multiply(Y,X),multiply(Y,X))))]]) ).
cnf(refute_0_1094,plain,
add(multiply(Y,X),multiply(Y,X)) = multiply(X,add(Y,Y)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Y)),add(multiply(Y,X),multiply(Y,X))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
( multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))) != multiply(Y,X)
| add(multiply(Y,X),multiply(Y,X)) != multiply(X,add(Y,Y))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))),multiply(Y,X)) ),[0,1],$fot(multiply(X,add(Y,Y)))]]) ).
cnf(refute_0_1096,plain,
( multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))) != multiply(Y,X)
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X),multiply(Y,X)),multiply(X,add(Y,Y))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),add(multiply(Y,X),multiply(Y,X))),multiply(Y,X)) )],[refute_0_1091,refute_0_1096]) ).
cnf(refute_0_1098,plain,
multiply(multiply(X_22,add(add(X_24,X_24),X_24)),multiply(X_24,X_22)) = multiply(X_24,X_22),
inference(subst,[],[refute_0_251:[bind(X_23,$fot(add(X_24,X_24)))]]) ).
cnf(refute_0_1099,plain,
X_24 = add(add(X_24,X_24),X_24),
inference(subst,[],[refute_0_648:[bind(X_127,$fot(X_24))]]) ).
cnf(refute_0_1100,plain,
( X_24 != add(add(X_24,X_24),X_24)
| add(add(X_24,X_24),X_24) = X_24 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_24)),bind(Y0,$fot(add(add(X_24,X_24),X_24)))]]) ).
cnf(refute_0_1101,plain,
add(add(X_24,X_24),X_24) = X_24,
inference(resolve,[$cnf( $equal(X_24,add(add(X_24,X_24),X_24)) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
( multiply(multiply(X_22,add(add(X_24,X_24),X_24)),multiply(X_24,X_22)) != multiply(X_24,X_22)
| add(add(X_24,X_24),X_24) != X_24
| multiply(multiply(X_22,X_24),multiply(X_24,X_22)) = multiply(X_24,X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_22,add(add(X_24,X_24),X_24)),multiply(X_24,X_22)),multiply(X_24,X_22)) ),[0,0,1],$fot(X_24)]]) ).
cnf(refute_0_1103,plain,
( multiply(multiply(X_22,add(add(X_24,X_24),X_24)),multiply(X_24,X_22)) != multiply(X_24,X_22)
| multiply(multiply(X_22,X_24),multiply(X_24,X_22)) = multiply(X_24,X_22) ),
inference(resolve,[$cnf( $equal(add(add(X_24,X_24),X_24),X_24) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
multiply(multiply(X_22,X_24),multiply(X_24,X_22)) = multiply(X_24,X_22),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,add(add(X_24,X_24),X_24)),multiply(X_24,X_22)),multiply(X_24,X_22)) )],[refute_0_1098,refute_0_1103]) ).
cnf(refute_0_1105,plain,
multiply(multiply(Y,X),multiply(X,Y)) = multiply(X,Y),
inference(subst,[],[refute_0_1104:[bind(X_22,$fot(Y)),bind(X_24,$fot(X))]]) ).
cnf(refute_0_1106,plain,
add(Y,Y) = Y,
inference(subst,[],[refute_0_1074:[bind(X_162,$fot(Y))]]) ).
cnf(refute_0_1107,plain,
multiply(X,add(Y,Y)) = multiply(X,add(Y,Y)),
introduced(tautology,[refl,[$fot(multiply(X,add(Y,Y)))]]) ).
cnf(refute_0_1108,plain,
( multiply(X,add(Y,Y)) != multiply(X,add(Y,Y))
| add(Y,Y) != Y
| multiply(X,add(Y,Y)) = multiply(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,Y)),multiply(X,add(Y,Y))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_1109,plain,
( add(Y,Y) != Y
| multiply(X,add(Y,Y)) = multiply(X,Y) ),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Y)),multiply(X,add(Y,Y))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
multiply(X,add(Y,Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(add(Y,Y),Y) )],[refute_0_1106,refute_0_1109]) ).
cnf(refute_0_1111,plain,
multiply(multiply(Y,X),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,add(Y,Y))),
introduced(tautology,[refl,[$fot(multiply(multiply(Y,X),multiply(X,add(Y,Y))))]]) ).
cnf(refute_0_1112,plain,
( multiply(X,add(Y,Y)) != multiply(X,Y)
| multiply(multiply(Y,X),multiply(X,add(Y,Y))) != multiply(multiply(Y,X),multiply(X,add(Y,Y)))
| multiply(multiply(Y,X),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X),multiply(X,add(Y,Y))),multiply(multiply(Y,X),multiply(X,add(Y,Y)))) ),[1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_1113,plain,
( multiply(X,add(Y,Y)) != multiply(X,Y)
| multiply(multiply(Y,X),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),multiply(X,add(Y,Y))),multiply(multiply(Y,X),multiply(X,add(Y,Y)))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
multiply(multiply(Y,X),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Y)),multiply(X,Y)) )],[refute_0_1110,refute_0_1113]) ).
cnf(refute_0_1115,plain,
multiply(multiply(Y,X),n1) = multiply(Y,X),
inference(subst,[],[refute_0_1085:[bind(X_36,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_1116,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))))]]) ).
cnf(refute_0_1117,plain,
( multiply(multiply(Y,X),n1) != multiply(Y,X)
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y)))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,add(Y,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y)))) ),[1,0],$fot(multiply(Y,X))]]) ).
cnf(refute_0_1118,plain,
( multiply(multiply(Y,X),n1) != multiply(Y,X)
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,add(Y,Y))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y)))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,add(Y,Y))),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),n1),multiply(Y,X)) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( multiply(multiply(Y,X),multiply(X,add(Y,Y))) != multiply(multiply(Y,X),multiply(X,Y))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(multiply(Y,X),multiply(X,add(Y,Y)))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,Y)) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))))),bind(Y0,$fot(multiply(multiply(Y,X),multiply(X,add(Y,Y))))),bind(Z0,$fot(multiply(multiply(Y,X),multiply(X,Y))))]]) ).
cnf(refute_0_1121,plain,
( multiply(multiply(Y,X),multiply(X,add(Y,Y))) != multiply(multiply(Y,X),multiply(X,Y))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(multiply(Y,X),multiply(X,add(Y,Y)))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(multiply(Y,X),multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),multiply(X,add(Y,Y))),multiply(multiply(Y,X),multiply(X,Y))) )],[refute_0_1114,refute_0_1121]) ).
cnf(refute_0_1123,plain,
( multiply(multiply(Y,X),multiply(X,Y)) != multiply(X,Y)
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(multiply(Y,X),multiply(X,Y))
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(X,Y) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))))),bind(Y0,$fot(multiply(multiply(Y,X),multiply(X,Y)))),bind(Z0,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_1124,plain,
( multiply(multiply(Y,X),multiply(X,Y)) != multiply(X,Y)
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(X,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(multiply(Y,X),multiply(X,Y))) )],[refute_0_1122,refute_0_1123]) ).
cnf(refute_0_1125,plain,
multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X),multiply(X,Y)),multiply(X,Y)) )],[refute_0_1105,refute_0_1124]) ).
cnf(refute_0_1126,plain,
( multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(X,Y)
| multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(Y,X)) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_1127,plain,
( multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(X,Y)) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X),n1),multiply(X,add(Y,Y))),multiply(Y,X)) )],[refute_0_1097,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_1130,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
multiply(add(X,Y),Y) = multiply(Y,add(X,Y)),
inference(subst,[],[refute_0_1130:[bind(X,$fot(Y)),bind(Y,$fot(add(X,Y)))]]) ).
cnf(refute_0_1132,plain,
( multiply(add(X,Y),Y) != Y
| multiply(add(X,Y),Y) != multiply(Y,add(X,Y))
| multiply(Y,add(X,Y)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),Y),Y) ),[0],$fot(multiply(Y,add(X,Y)))]]) ).
cnf(refute_0_1133,plain,
( multiply(add(X,Y),Y) != Y
| multiply(Y,add(X,Y)) = Y ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Y),multiply(Y,add(X,Y))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
multiply(Y,add(X,Y)) = Y,
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Y),Y) )],[multiply_add,refute_0_1133]) ).
cnf(refute_0_1135,plain,
multiply(X,add(X_73,X)) = X,
inference(subst,[],[refute_0_1134:[bind(X,$fot(X_73)),bind(Y,$fot(X))]]) ).
cnf(refute_0_1136,plain,
multiply(multiply(X,n1),add(X_73,X)) = multiply(multiply(X,n1),add(X_73,X)),
introduced(tautology,[refl,[$fot(multiply(multiply(X,n1),add(X_73,X)))]]) ).
cnf(refute_0_1137,plain,
( multiply(X,n1) != X
| multiply(multiply(X,n1),add(X_73,X)) != multiply(multiply(X,n1),add(X_73,X))
| multiply(multiply(X,n1),add(X_73,X)) = multiply(X,add(X_73,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,n1),add(X_73,X)),multiply(multiply(X,n1),add(X_73,X))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_1138,plain,
( multiply(X,n1) != X
| multiply(multiply(X,n1),add(X_73,X)) = multiply(X,add(X_73,X)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X_73,X)),multiply(multiply(X,n1),add(X_73,X))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
multiply(multiply(X,n1),add(X_73,X)) = multiply(X,add(X_73,X)),
inference(resolve,[$cnf( $equal(multiply(X,n1),X) )],[refute_0_1086,refute_0_1138]) ).
cnf(refute_0_1140,plain,
( multiply(X,add(X_73,X)) != X
| multiply(multiply(X,n1),add(X_73,X)) != multiply(X,add(X_73,X))
| multiply(multiply(X,n1),add(X_73,X)) = X ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(multiply(multiply(X,n1),add(X_73,X)))),bind(Y0,$fot(multiply(X,add(X_73,X)))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_1141,plain,
( multiply(X,add(X_73,X)) != X
| multiply(multiply(X,n1),add(X_73,X)) = X ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X_73,X)),multiply(X,add(X_73,X))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
multiply(multiply(X,n1),add(X_73,X)) = X,
inference(resolve,[$cnf( $equal(multiply(X,add(X_73,X)),X) )],[refute_0_1135,refute_0_1141]) ).
cnf(refute_0_1143,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),
introduced(tautology,[refl,[$fot(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)))]]) ).
cnf(refute_0_1144,plain,
( multiply(multiply(X,n1),add(X_73,X)) != X
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,X,multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_1145,plain,
( multiply(multiply(X,n1),add(X_73,X)) != X
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,X,multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,X,multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X_73,X)),X) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( pixley(X,X,multiply(X,n1)) != pixley(X,X,X)
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != pixley(X,X,multiply(X,n1))
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,X,X) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)))),bind(Y0,$fot(pixley(X,X,multiply(X,n1)))),bind(Z0,$fot(pixley(X,X,X)))]]) ).
cnf(refute_0_1148,plain,
( pixley(X,X,multiply(X,n1)) != pixley(X,X,X)
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,X,X) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),pixley(X,X,multiply(X,n1))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = pixley(X,X,X),
inference(resolve,[$cnf( $equal(pixley(X,X,multiply(X,n1)),pixley(X,X,X)) )],[refute_0_1090,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( pixley(X,X,X) != X
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != pixley(X,X,X)
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = X ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)))),bind(Y0,$fot(pixley(X,X,X))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_1151,plain,
( pixley(X,X,X) != X
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = X ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),pixley(X,X,X)) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) = X,
inference(resolve,[$cnf( $equal(pixley(X,X,X),X) )],[refute_0_1024,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != X
| pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| X = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))) ),[0],$fot(X)]]) ).
cnf(refute_0_1154,plain,
( pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| X = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),X) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
add(X_125,X_125) = add(multiply(X_142,inverse(X_142)),X_125),
inference(subst,[],[refute_0_770:[bind(X_11,$fot(X_142))]]) ).
cnf(refute_0_1156,plain,
( add(X_125,X_125) != add(multiply(X_142,inverse(X_142)),X_125)
| add(X_125,X_125) != add(inverse(n1),X_125)
| add(multiply(X_142,inverse(X_142)),X_125) = add(inverse(n1),X_125) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_125,X_125),add(inverse(n1),X_125)) ),[0],$fot(add(multiply(X_142,inverse(X_142)),X_125))]]) ).
cnf(refute_0_1157,plain,
( add(X_125,X_125) != add(inverse(n1),X_125)
| add(multiply(X_142,inverse(X_142)),X_125) = add(inverse(n1),X_125) ),
inference(resolve,[$cnf( $equal(add(X_125,X_125),add(multiply(X_142,inverse(X_142)),X_125)) )],[refute_0_1155,refute_0_1156]) ).
cnf(refute_0_1158,plain,
add(multiply(X_142,inverse(X_142)),X_125) = add(inverse(n1),X_125),
inference(resolve,[$cnf( $equal(add(X_125,X_125),add(inverse(n1),X_125)) )],[refute_0_473,refute_0_1157]) ).
cnf(refute_0_1159,plain,
add(multiply(X,inverse(X)),X) = add(inverse(n1),X),
inference(subst,[],[refute_0_1158:[bind(X_125,$fot(X)),bind(X_142,$fot(X))]]) ).
cnf(refute_0_1160,plain,
add(multiply(X,inverse(X)),multiply(X,n1)) = add(multiply(X,inverse(X)),multiply(X,n1)),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(X)),multiply(X,n1)))]]) ).
cnf(refute_0_1161,plain,
( multiply(X,n1) != X
| add(multiply(X,inverse(X)),multiply(X,n1)) != add(multiply(X,inverse(X)),multiply(X,n1))
| add(multiply(X,inverse(X)),multiply(X,n1)) = add(multiply(X,inverse(X)),X) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X)),multiply(X,n1)),add(multiply(X,inverse(X)),multiply(X,n1))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_1162,plain,
( multiply(X,n1) != X
| add(multiply(X,inverse(X)),multiply(X,n1)) = add(multiply(X,inverse(X)),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X)),multiply(X,n1)),add(multiply(X,inverse(X)),multiply(X,n1))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
add(multiply(X,inverse(X)),multiply(X,n1)) = add(multiply(X,inverse(X)),X),
inference(resolve,[$cnf( $equal(multiply(X,n1),X) )],[refute_0_1086,refute_0_1162]) ).
cnf(refute_0_1164,plain,
inverse(multiply(multiply(X,n1),add(X_73,X))) = inverse(multiply(multiply(X,n1),add(X_73,X))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X,n1),add(X_73,X))))]]) ).
cnf(refute_0_1165,plain,
( multiply(multiply(X,n1),add(X_73,X)) != X
| inverse(multiply(multiply(X,n1),add(X_73,X))) != inverse(multiply(multiply(X,n1),add(X_73,X)))
| inverse(multiply(multiply(X,n1),add(X_73,X))) = inverse(X) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X,n1),add(X_73,X))),inverse(multiply(multiply(X,n1),add(X_73,X)))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_1166,plain,
( multiply(multiply(X,n1),add(X_73,X)) != X
| inverse(multiply(multiply(X,n1),add(X_73,X))) = inverse(X) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,n1),add(X_73,X))),inverse(multiply(multiply(X,n1),add(X_73,X)))) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
inverse(multiply(multiply(X,n1),add(X_73,X))) = inverse(X),
inference(resolve,[$cnf( $equal(multiply(multiply(X,n1),add(X_73,X)),X) )],[refute_0_1142,refute_0_1166]) ).
cnf(refute_0_1168,plain,
multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) = multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),
introduced(tautology,[refl,[$fot(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))))]]) ).
cnf(refute_0_1169,plain,
( multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) != multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X))))
| inverse(multiply(multiply(X,n1),add(X_73,X))) != inverse(X)
| multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) = multiply(X,inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X))))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_1170,plain,
( inverse(multiply(multiply(X,n1),add(X_73,X))) != inverse(X)
| multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) = multiply(X,inverse(X)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X))))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) = multiply(X,inverse(X)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X,n1),add(X_73,X))),inverse(X)) )],[refute_0_1167,refute_0_1170]) ).
cnf(refute_0_1172,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)))]]) ).
cnf(refute_0_1173,plain,
( multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) != multiply(X,inverse(X))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(X)),multiply(X,n1)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))) ),[1,0],$fot(multiply(X,inverse(X)))]]) ).
cnf(refute_0_1174,plain,
( multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))) != multiply(X,inverse(X))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(X)),multiply(X,n1)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(X)),multiply(X,n1)),
inference(resolve,[$cnf( $equal(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,inverse(X))) )],[refute_0_1171,refute_0_1174]) ).
cnf(refute_0_1176,plain,
( add(multiply(X,inverse(X)),multiply(X,n1)) != add(multiply(X,inverse(X)),X)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) != add(multiply(X,inverse(X)),multiply(X,n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(X)),X) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)))),bind(Y0,$fot(add(multiply(X,inverse(X)),multiply(X,n1)))),bind(Z0,$fot(add(multiply(X,inverse(X)),X)))]]) ).
cnf(refute_0_1177,plain,
( add(multiply(X,inverse(X)),multiply(X,n1)) != add(multiply(X,inverse(X)),X)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(X)),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),add(multiply(X,inverse(X)),multiply(X,n1))) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(multiply(X,inverse(X)),X),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X)),multiply(X,n1)),add(multiply(X,inverse(X)),X)) )],[refute_0_1163,refute_0_1177]) ).
cnf(refute_0_1179,plain,
( add(multiply(X,inverse(X)),X) != add(inverse(n1),X)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) != add(multiply(X,inverse(X)),X)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(inverse(n1),X) ),
inference(subst,[],[refute_0_72:[bind(X0,$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)))),bind(Y0,$fot(add(multiply(X,inverse(X)),X))),bind(Z0,$fot(add(inverse(n1),X)))]]) ).
cnf(refute_0_1180,plain,
( add(multiply(X,inverse(X)),X) != add(inverse(n1),X)
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(inverse(n1),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),add(multiply(X,inverse(X)),X)) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) = add(inverse(n1),X),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X)),X),add(inverse(n1),X)) )],[refute_0_1159,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( X != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)) != add(inverse(n1),X)
| X = add(inverse(n1),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X,add(inverse(n1),X)) ),[0],$fot(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)))]]) ).
cnf(refute_0_1183,plain,
( X != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| X = add(inverse(n1),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1)),add(inverse(n1),X)) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)) != add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))
| X = add(inverse(n1),X) ),
inference(resolve,[$cnf( $equal(X,add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))) )],[refute_0_1154,refute_0_1183]) ).
cnf(refute_0_1185,plain,
X = add(inverse(n1),X),
inference(resolve,[$cnf( $equal(pixley(X,multiply(multiply(X,n1),add(X_73,X)),multiply(X,n1)),add(multiply(X,inverse(multiply(multiply(X,n1),add(X_73,X)))),multiply(X,n1))) )],[refute_0_1023,refute_0_1184]) ).
cnf(refute_0_1186,plain,
( X != add(inverse(n1),X)
| add(inverse(n1),X) = X ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X)),bind(Y0,$fot(add(inverse(n1),X)))]]) ).
cnf(refute_0_1187,plain,
add(inverse(n1),X) = X,
inference(resolve,[$cnf( $equal(X,add(inverse(n1),X)) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
add(inverse(n1),Z) = Z,
inference(subst,[],[refute_0_1187:[bind(X,$fot(Z))]]) ).
cnf(refute_0_1189,plain,
multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),add(inverse(n1),Z)),
introduced(tautology,[refl,[$fot(multiply(inverse(Y),add(inverse(n1),Z)))]]) ).
cnf(refute_0_1190,plain,
( multiply(inverse(Y),add(inverse(n1),Z)) != multiply(inverse(Y),add(inverse(n1),Z))
| add(inverse(n1),Z) != Z
| multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),add(inverse(n1),Z)),multiply(inverse(Y),add(inverse(n1),Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_1191,plain,
( add(inverse(n1),Z) != Z
| multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(inverse(n1),Z)),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
multiply(inverse(Y),add(inverse(n1),Z)) = multiply(inverse(Y),Z),
inference(resolve,[$cnf( $equal(add(inverse(n1),Z),Z) )],[refute_0_1188,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( multiply(inverse(Y),add(inverse(n1),Z)) != multiply(inverse(Y),Z)
| pixley(inverse(n1),Y,Z) != multiply(inverse(Y),add(inverse(n1),Z))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),add(inverse(n1),Z))) ),[1],$fot(multiply(inverse(Y),Z))]]) ).
cnf(refute_0_1194,plain,
( pixley(inverse(n1),Y,Z) != multiply(inverse(Y),add(inverse(n1),Z))
| pixley(inverse(n1),Y,Z) = multiply(inverse(Y),Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),add(inverse(n1),Z)),multiply(inverse(Y),Z)) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
pixley(inverse(n1),Y,Z) = multiply(inverse(Y),Z),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),Y,Z),multiply(inverse(Y),add(inverse(n1),Z))) )],[refute_0_890,refute_0_1194]) ).
cnf(refute_0_1196,plain,
pixley(inverse(n1),n1,Z) = multiply(inverse(n1),Z),
inference(subst,[],[refute_0_1195:[bind(Y,$fot(n1))]]) ).
cnf(refute_0_1197,plain,
( pixley(inverse(n1),n1,Z) != multiply(inverse(n1),Z)
| pixley(inverse(n1),n1,Z) != inverse(n1)
| multiply(inverse(n1),Z) = inverse(n1) ),
introduced(tautology,[equality,[$cnf( $equal(pixley(inverse(n1),n1,Z),inverse(n1)) ),[0],$fot(multiply(inverse(n1),Z))]]) ).
cnf(refute_0_1198,plain,
( pixley(inverse(n1),n1,Z) != inverse(n1)
| multiply(inverse(n1),Z) = inverse(n1) ),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,Z),multiply(inverse(n1),Z)) )],[refute_0_1196,refute_0_1197]) ).
cnf(refute_0_1199,plain,
multiply(inverse(n1),Z) = inverse(n1),
inference(resolve,[$cnf( $equal(pixley(inverse(n1),n1,Z),inverse(n1)) )],[refute_0_915,refute_0_1198]) ).
cnf(refute_0_1200,plain,
multiply(inverse(n1),multiply(X_146,inverse(X_146))) = inverse(n1),
inference(subst,[],[refute_0_1199:[bind(Z,$fot(multiply(X_146,inverse(X_146))))]]) ).
cnf(refute_0_1201,plain,
( multiply(inverse(n1),multiply(X_146,inverse(X_146))) != multiply(X_146,inverse(X_146))
| multiply(inverse(n1),multiply(X_146,inverse(X_146))) != inverse(n1)
| inverse(n1) = multiply(X_146,inverse(X_146)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,inverse(X_146))),multiply(X_146,inverse(X_146))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_1202,plain,
( multiply(inverse(n1),multiply(X_146,inverse(X_146))) != multiply(X_146,inverse(X_146))
| inverse(n1) = multiply(X_146,inverse(X_146)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,inverse(X_146))),inverse(n1)) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
inverse(n1) = multiply(X_146,inverse(X_146)),
inference(resolve,[$cnf( $equal(multiply(inverse(n1),multiply(X_146,inverse(X_146))),multiply(X_146,inverse(X_146))) )],[refute_0_763,refute_0_1202]) ).
cnf(refute_0_1204,plain,
( inverse(n1) != multiply(X_146,inverse(X_146))
| multiply(X_146,inverse(X_146)) = inverse(n1) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(n1))),bind(Y0,$fot(multiply(X_146,inverse(X_146))))]]) ).
cnf(refute_0_1205,plain,
multiply(X_146,inverse(X_146)) = inverse(n1),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(X_146,inverse(X_146))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
multiply(b,inverse(b)) = inverse(n1),
inference(subst,[],[refute_0_1205:[bind(X_146,$fot(b))]]) ).
cnf(refute_0_1207,plain,
( multiply(b,inverse(b)) != inverse(n1)
| inverse(n1) != multiply(a,inverse(a))
| multiply(b,inverse(b)) = multiply(a,inverse(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(b,inverse(b)),multiply(a,inverse(a))) ),[0],$fot(inverse(n1))]]) ).
cnf(refute_0_1208,plain,
( inverse(n1) != multiply(a,inverse(a))
| multiply(b,inverse(b)) = multiply(a,inverse(a)) ),
inference(resolve,[$cnf( $equal(multiply(b,inverse(b)),inverse(n1)) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
multiply(a,inverse(a)) = inverse(n1),
inference(subst,[],[refute_0_1205:[bind(X_146,$fot(a))]]) ).
cnf(refute_0_1210,plain,
( multiply(a,inverse(a)) != inverse(n1)
| inverse(n1) != inverse(n1)
| inverse(n1) = multiply(a,inverse(a)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(n1),multiply(a,inverse(a))) ),[1],$fot(inverse(n1))]]) ).
cnf(refute_0_1211,plain,
( inverse(n1) != inverse(n1)
| inverse(n1) = multiply(a,inverse(a)) ),
inference(resolve,[$cnf( $equal(multiply(a,inverse(a)),inverse(n1)) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
( inverse(n1) != inverse(n1)
| multiply(b,inverse(b)) = multiply(a,inverse(a)) ),
inference(resolve,[$cnf( $equal(inverse(n1),multiply(a,inverse(a))) )],[refute_0_1211,refute_0_1208]) ).
cnf(refute_0_1213,plain,
inverse(n1) != inverse(n1),
inference(resolve,[$cnf( $equal(multiply(b,inverse(b)),multiply(a,inverse(a))) )],[refute_0_1212,prove_equal_identity]) ).
cnf(refute_0_1214,plain,
inverse(n1) = inverse(n1),
introduced(tautology,[refl,[$fot(inverse(n1))]]) ).
cnf(refute_0_1215,plain,
$false,
inference(resolve,[$cnf( $equal(inverse(n1),inverse(n1)) )],[refute_0_1214,refute_0_1213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO025-1 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 16:50:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.75/0.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.75/0.97
% 0.75/0.97 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.96/1.12
%------------------------------------------------------------------------------