TSTP Solution File: GRP096-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP096-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:42 EDT 2022
% Result : Unsatisfiable 0.62s 0.80s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 118
% Syntax : Number of clauses : 533 ( 274 unt; 0 nHn; 266 RR)
% Number of literals : 911 ( 910 equ; 387 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 1273 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = Y ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(multiply(X_2,divide(X_3,divide(X_2,inverse(Y))))))]]) ).
cnf(refute_0_1,plain,
X0 = X0,
introduced(tautology,[refl,[$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( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_5,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
divide(X,inverse(divide(Y,divide(X,Z)))) = multiply(X,divide(Y,divide(X,Z))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(divide(Y,divide(X,Z))))]]) ).
cnf(refute_0_7,plain,
divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),
introduced(tautology,[refl,[$fot(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z))]]) ).
cnf(refute_0_8,plain,
( divide(X,inverse(divide(Y,divide(X,Z)))) != multiply(X,divide(Y,divide(X,Z)))
| divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) != divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z)
| divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = divide(multiply(X,divide(Y,divide(X,Z))),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z)) ),[1,0],$fot(multiply(X,divide(Y,divide(X,Z))))]]) ).
cnf(refute_0_9,plain,
( divide(X,inverse(divide(Y,divide(X,Z)))) != multiply(X,divide(Y,divide(X,Z)))
| divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = divide(multiply(X,divide(Y,divide(X,Z))),Z) ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) = divide(multiply(X,divide(Y,divide(X,Z))),Z),
inference(resolve,[$cnf( $equal(divide(X,inverse(divide(Y,divide(X,Z)))),multiply(X,divide(Y,divide(X,Z)))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) != Y
| divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) != divide(multiply(X,divide(Y,divide(X,Z))),Z)
| divide(multiply(X,divide(Y,divide(X,Z))),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),Y) ),[0],$fot(divide(multiply(X,divide(Y,divide(X,Z))),Z))]]) ).
cnf(refute_0_12,plain,
( divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z) != Y
| divide(multiply(X,divide(Y,divide(X,Z))),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),divide(multiply(X,divide(Y,divide(X,Z))),Z)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(multiply(X,divide(Y,divide(X,Z))),Z) = Y,
inference(resolve,[$cnf( $equal(divide(divide(X,inverse(divide(Y,divide(X,Z)))),Z),Y) )],[single_axiom,refute_0_12]) ).
cnf(refute_0_14,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y)) = X_3,
inference(subst,[],[refute_0_13:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_15,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) != divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y))
| divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y)) != X_3
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),X_3) ),[0],$fot(divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y)))]]) ).
cnf(refute_0_16,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) != divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y))
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = X_3 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y)),X_3) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),divide(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),inverse(Y))) )],[refute_0_0,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(X_2,inverse(Y)) = multiply(X_2,Y),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_19,plain,
divide(X_3,divide(X_2,inverse(Y))) = divide(X_3,divide(X_2,inverse(Y))),
introduced(tautology,[refl,[$fot(divide(X_3,divide(X_2,inverse(Y))))]]) ).
cnf(refute_0_20,plain,
( divide(X_2,inverse(Y)) != multiply(X_2,Y)
| divide(X_3,divide(X_2,inverse(Y))) != divide(X_3,divide(X_2,inverse(Y)))
| divide(X_3,divide(X_2,inverse(Y))) = divide(X_3,multiply(X_2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,divide(X_2,inverse(Y))),divide(X_3,divide(X_2,inverse(Y)))) ),[1,1],$fot(multiply(X_2,Y))]]) ).
cnf(refute_0_21,plain,
( divide(X_2,inverse(Y)) != multiply(X_2,Y)
| divide(X_3,divide(X_2,inverse(Y))) = divide(X_3,multiply(X_2,Y)) ),
inference(resolve,[$cnf( $equal(divide(X_3,divide(X_2,inverse(Y))),divide(X_3,divide(X_2,inverse(Y)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(X_3,divide(X_2,inverse(Y))) = divide(X_3,multiply(X_2,Y)),
inference(resolve,[$cnf( $equal(divide(X_2,inverse(Y)),multiply(X_2,Y)) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) = multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))))]]) ).
cnf(refute_0_24,plain,
( multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) != multiply(X_2,divide(X_3,divide(X_2,inverse(Y))))
| divide(X_3,divide(X_2,inverse(Y))) != divide(X_3,multiply(X_2,Y))
| multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) = multiply(X_2,divide(X_3,multiply(X_2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),multiply(X_2,divide(X_3,divide(X_2,inverse(Y))))) ),[1,1],$fot(divide(X_3,multiply(X_2,Y)))]]) ).
cnf(refute_0_25,plain,
( divide(X_3,divide(X_2,inverse(Y))) != divide(X_3,multiply(X_2,Y))
| multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) = multiply(X_2,divide(X_3,multiply(X_2,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),multiply(X_2,divide(X_3,divide(X_2,inverse(Y))))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) = multiply(X_2,divide(X_3,multiply(X_2,Y))),
inference(resolve,[$cnf( $equal(divide(X_3,divide(X_2,inverse(Y))),divide(X_3,multiply(X_2,Y))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),
introduced(tautology,[refl,[$fot(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y))]]) ).
cnf(refute_0_28,plain,
( multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) != multiply(X_2,divide(X_3,multiply(X_2,Y)))
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) != multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y)
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y)) ),[1,0],$fot(multiply(X_2,divide(X_3,multiply(X_2,Y))))]]) ).
cnf(refute_0_29,plain,
( multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))) != multiply(X_2,divide(X_3,multiply(X_2,Y)))
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) = multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),multiply(X_2,divide(X_3,multiply(X_2,Y)))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) != X_3
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) != multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y)
| multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),X_3) ),[0],$fot(multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y))]]) ).
cnf(refute_0_32,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y) != X_3
| multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(multiply(X_2,divide(X_3,multiply(X_2,Y))),Y) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(Y)))),Y),X_3) )],[refute_0_17,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y))),Y) = X_3,
inference(subst,[],[refute_0_33:[bind(X_2,$fot(multiply(X_6,divide(X_7,multiply(X_6,Y)))))]]) ).
cnf(refute_0_35,plain,
multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y) = X_7,
inference(subst,[],[refute_0_33:[bind(X_2,$fot(X_6)),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_36,plain,
( multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y) != X_7
| multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y))),Y) != X_3
| multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,X_7)),Y) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y))),Y),X_3) ),[0,0,1,1],$fot(X_7)]]) ).
cnf(refute_0_37,plain,
( multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y))),Y) != X_3
| multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,X_7)),Y) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y),X_7) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,X_7)),Y) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,Y))),Y))),Y),X_3) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)) = X_13,
inference(subst,[],[refute_0_38:[bind(Y,$fot(divide(X_13,X_15))),bind(X_3,$fot(X_13)),bind(X_6,$fot(X_14)),bind(X_7,$fot(X_15))]]) ).
cnf(refute_0_40,plain,
multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)) = X_15,
inference(subst,[],[refute_0_33:[bind(Y,$fot(divide(X_13,X_15))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_41,plain,
( multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)) != X_15
| multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)) != X_13
| multiply(X_15,divide(X_13,X_15)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)),X_13) ),[0,0],$fot(X_15)]]) ).
cnf(refute_0_42,plain,
( multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)) != X_13
| multiply(X_15,divide(X_13,X_15)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),X_15) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(X_15,divide(X_13,X_15)) = X_13,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)),X_13) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(Y),divide(X_16,inverse(Y))) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(inverse(Y)))]]) ).
cnf(refute_0_45,plain,
multiply(X_16,Y) = divide(X_16,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_16))]]) ).
cnf(refute_0_46,plain,
( multiply(X_16,Y) != divide(X_16,inverse(Y))
| divide(X_16,inverse(Y)) = multiply(X_16,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_16,Y))),bind(Y0,$fot(divide(X_16,inverse(Y))))]]) ).
cnf(refute_0_47,plain,
divide(X_16,inverse(Y)) = multiply(X_16,Y),
inference(resolve,[$cnf( $equal(multiply(X_16,Y),divide(X_16,inverse(Y))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( multiply(inverse(Y),divide(X_16,inverse(Y))) != X_16
| divide(X_16,inverse(Y)) != multiply(X_16,Y)
| multiply(inverse(Y),multiply(X_16,Y)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),divide(X_16,inverse(Y))),X_16) ),[0,1],$fot(multiply(X_16,Y))]]) ).
cnf(refute_0_49,plain,
( multiply(inverse(Y),divide(X_16,inverse(Y))) != X_16
| multiply(inverse(Y),multiply(X_16,Y)) = X_16 ),
inference(resolve,[$cnf( $equal(divide(X_16,inverse(Y)),multiply(X_16,Y)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(inverse(Y),multiply(X_16,Y)) = X_16,
inference(resolve,[$cnf( $equal(multiply(inverse(Y),divide(X_16,inverse(Y))),X_16) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(inverse(Y),multiply(inverse(divide(Y,X_29)),Y)) = inverse(divide(Y,X_29)),
inference(subst,[],[refute_0_50:[bind(X_16,$fot(inverse(divide(Y,X_29))))]]) ).
cnf(refute_0_52,plain,
multiply(inverse(divide(X_13,X_21)),multiply(X_21,divide(X_13,X_21))) = X_21,
inference(subst,[],[refute_0_50:[bind(Y,$fot(divide(X_13,X_21))),bind(X_16,$fot(X_21))]]) ).
cnf(refute_0_53,plain,
multiply(X_21,divide(X_13,X_21)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(X_21))]]) ).
cnf(refute_0_54,plain,
( multiply(X_21,divide(X_13,X_21)) != X_13
| multiply(inverse(divide(X_13,X_21)),multiply(X_21,divide(X_13,X_21))) != X_21
| multiply(inverse(divide(X_13,X_21)),X_13) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_13,X_21)),multiply(X_21,divide(X_13,X_21))),X_21) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_55,plain,
( multiply(inverse(divide(X_13,X_21)),multiply(X_21,divide(X_13,X_21))) != X_21
| multiply(inverse(divide(X_13,X_21)),X_13) = X_21 ),
inference(resolve,[$cnf( $equal(multiply(X_21,divide(X_13,X_21)),X_13) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(inverse(divide(X_13,X_21)),X_13) = X_21,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_13,X_21)),multiply(X_21,divide(X_13,X_21))),X_21) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(inverse(divide(Y,X_29)),Y) = X_29,
inference(subst,[],[refute_0_56:[bind(X_13,$fot(Y)),bind(X_21,$fot(X_29))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(Y),multiply(inverse(divide(Y,X_29)),Y)) != inverse(divide(Y,X_29))
| multiply(inverse(divide(Y,X_29)),Y) != X_29
| multiply(inverse(Y),X_29) = inverse(divide(Y,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(divide(Y,X_29)),Y)),inverse(divide(Y,X_29))) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_59,plain,
( multiply(inverse(Y),multiply(inverse(divide(Y,X_29)),Y)) != inverse(divide(Y,X_29))
| multiply(inverse(Y),X_29) = inverse(divide(Y,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_29)),Y),X_29) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(Y),X_29) = inverse(divide(Y,X_29)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(divide(Y,X_29)),Y)),inverse(divide(Y,X_29))) )],[refute_0_51,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(inverse(a1),a1) = inverse(divide(a1,a1)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(a1)),bind(X_29,$fot(a1))]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(a1),a1) != inverse(divide(a1,a1))
| inverse(divide(a1,a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(inverse(divide(a1,a1)))]]) ).
cnf(refute_0_63,plain,
( inverse(divide(a1,a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),inverse(divide(a1,a1))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(inverse(b1),b1) = inverse(divide(b1,b1)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(b1)),bind(X_29,$fot(b1))]]) ).
cnf(refute_0_65,plain,
( multiply(inverse(b1),b1) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(divide(a1,a1)),multiply(inverse(b1),b1)) ),[1],$fot(inverse(divide(b1,b1)))]]) ).
cnf(refute_0_66,plain,
( inverse(divide(a1,a1)) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),inverse(divide(b1,b1))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( inverse(divide(a1,a1)) != inverse(divide(b1,b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(inverse(divide(a1,a1)),multiply(inverse(b1),b1)) )],[refute_0_66,refute_0_63]) ).
cnf(refute_0_68,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| inverse(divide(a1,a1)) != inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_67,prove_these_axioms]) ).
cnf(refute_0_69,plain,
multiply(inverse(divide(Y,X_29)),Y) = divide(inverse(divide(Y,X_29)),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(inverse(divide(Y,X_29))))]]) ).
cnf(refute_0_70,plain,
( multiply(inverse(divide(Y,X_29)),Y) != X_29
| multiply(inverse(divide(Y,X_29)),Y) != divide(inverse(divide(Y,X_29)),inverse(Y))
| X_29 = divide(inverse(divide(Y,X_29)),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(Y,X_29)),Y),divide(inverse(divide(Y,X_29)),inverse(Y))) ),[0],$fot(X_29)]]) ).
cnf(refute_0_71,plain,
( multiply(inverse(divide(Y,X_29)),Y) != divide(inverse(divide(Y,X_29)),inverse(Y))
| X_29 = divide(inverse(divide(Y,X_29)),inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_29)),Y),X_29) )],[refute_0_57,refute_0_70]) ).
cnf(refute_0_72,plain,
X_29 = divide(inverse(divide(Y,X_29)),inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_29)),Y),divide(inverse(divide(Y,X_29)),inverse(Y))) )],[refute_0_69,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(inverse(divide(Y,X_29)),Y) = inverse(divide(divide(Y,X_29),Y)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(divide(Y,X_29))),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_74,plain,
divide(inverse(divide(Y,X_29)),inverse(Y)) = multiply(inverse(divide(Y,X_29)),Y),
inference(subst,[],[refute_0_5:[bind(X,$fot(inverse(divide(Y,X_29))))]]) ).
cnf(refute_0_75,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_76,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_75]) ).
cnf(refute_0_77,plain,
( multiply(inverse(divide(Y,X_29)),Y) != inverse(divide(divide(Y,X_29),Y))
| divide(inverse(divide(Y,X_29)),inverse(Y)) != multiply(inverse(divide(Y,X_29)),Y)
| divide(inverse(divide(Y,X_29)),inverse(Y)) = inverse(divide(divide(Y,X_29),Y)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(inverse(divide(Y,X_29)),inverse(Y)))),bind(Y0,$fot(multiply(inverse(divide(Y,X_29)),Y))),bind(Z0,$fot(inverse(divide(divide(Y,X_29),Y))))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(divide(Y,X_29)),Y) != inverse(divide(divide(Y,X_29),Y))
| divide(inverse(divide(Y,X_29)),inverse(Y)) = inverse(divide(divide(Y,X_29),Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_29)),inverse(Y)),multiply(inverse(divide(Y,X_29)),Y)) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(inverse(divide(Y,X_29)),inverse(Y)) = inverse(divide(divide(Y,X_29),Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_29)),Y),inverse(divide(divide(Y,X_29),Y))) )],[refute_0_73,refute_0_78]) ).
cnf(refute_0_80,plain,
( X_29 != divide(inverse(divide(Y,X_29)),inverse(Y))
| divide(inverse(divide(Y,X_29)),inverse(Y)) != inverse(divide(divide(Y,X_29),Y))
| X_29 = inverse(divide(divide(Y,X_29),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,inverse(divide(divide(Y,X_29),Y))) ),[0],$fot(divide(inverse(divide(Y,X_29)),inverse(Y)))]]) ).
cnf(refute_0_81,plain,
( X_29 != divide(inverse(divide(Y,X_29)),inverse(Y))
| X_29 = inverse(divide(divide(Y,X_29),Y)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_29)),inverse(Y)),inverse(divide(divide(Y,X_29),Y))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_29 = inverse(divide(divide(Y,X_29),Y)),
inference(resolve,[$cnf( $equal(X_29,divide(inverse(divide(Y,X_29)),inverse(Y))) )],[refute_0_72,refute_0_81]) ).
cnf(refute_0_83,plain,
( X_29 != inverse(divide(divide(Y,X_29),Y))
| inverse(divide(divide(Y,X_29),Y)) = X_29 ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_29)),bind(Y0,$fot(inverse(divide(divide(Y,X_29),Y))))]]) ).
cnf(refute_0_84,plain,
inverse(divide(divide(Y,X_29),Y)) = X_29,
inference(resolve,[$cnf( $equal(X_29,inverse(divide(divide(Y,X_29),Y))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
inverse(divide(divide(b2,a2),b2)) = a2,
inference(subst,[],[refute_0_84:[bind(Y,$fot(b2)),bind(X_29,$fot(a2))]]) ).
cnf(refute_0_86,plain,
multiply(inverse(divide(b2,a2)),b2) = inverse(divide(divide(b2,a2),b2)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(divide(b2,a2))),bind(X_29,$fot(b2))]]) ).
cnf(refute_0_87,plain,
( multiply(inverse(divide(b2,a2)),b2) != inverse(divide(divide(b2,a2),b2))
| inverse(divide(divide(b2,a2),b2)) != a2
| multiply(inverse(divide(b2,a2)),b2) = a2 ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(inverse(divide(b2,a2)),b2))),bind(Y0,$fot(inverse(divide(divide(b2,a2),b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_88,plain,
( inverse(divide(divide(b2,a2),b2)) != a2
| multiply(inverse(divide(b2,a2)),b2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(b2,a2)),b2),inverse(divide(divide(b2,a2),b2))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(divide(b2,a2)),b2) = a2,
inference(resolve,[$cnf( $equal(inverse(divide(divide(b2,a2),b2)),a2) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(inverse(b2),a2) = inverse(divide(b2,a2)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(b2)),bind(X_29,$fot(a2))]]) ).
cnf(refute_0_91,plain,
multiply(multiply(inverse(b2),a2),b2) = multiply(multiply(inverse(b2),a2),b2),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(b2),a2),b2))]]) ).
cnf(refute_0_92,plain,
( multiply(multiply(inverse(b2),a2),b2) != multiply(multiply(inverse(b2),a2),b2)
| multiply(inverse(b2),a2) != inverse(divide(b2,a2))
| multiply(multiply(inverse(b2),a2),b2) = multiply(inverse(divide(b2,a2)),b2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(b2),a2),b2),multiply(multiply(inverse(b2),a2),b2)) ),[1,0],$fot(inverse(divide(b2,a2)))]]) ).
cnf(refute_0_93,plain,
( multiply(inverse(b2),a2) != inverse(divide(b2,a2))
| multiply(multiply(inverse(b2),a2),b2) = multiply(inverse(divide(b2,a2)),b2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),a2),b2),multiply(multiply(inverse(b2),a2),b2)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(multiply(inverse(b2),a2),b2) = multiply(inverse(divide(b2,a2)),b2),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),a2),inverse(divide(b2,a2))) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
( multiply(multiply(inverse(b2),a2),b2) != multiply(inverse(divide(b2,a2)),b2)
| multiply(inverse(divide(b2,a2)),b2) != a2
| multiply(multiply(inverse(b2),a2),b2) = a2 ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(multiply(inverse(b2),a2),b2))),bind(Y0,$fot(multiply(inverse(divide(b2,a2)),b2))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_96,plain,
( multiply(inverse(divide(b2,a2)),b2) != a2
| multiply(multiply(inverse(b2),a2),b2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),a2),b2),multiply(inverse(divide(b2,a2)),b2)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(multiply(inverse(b2),a2),b2) = a2,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(b2,a2)),b2),a2) )],[refute_0_89,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(multiply(X_6,divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) = multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),
inference(subst,[],[refute_0_33:[bind(Y,$fot(X_5)),bind(X_2,$fot(X_6)),bind(X_3,$fot(multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))))]]) ).
cnf(refute_0_99,plain,
divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5)) = Y,
inference(subst,[],[refute_0_13:[bind(Z,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_100,plain,
( multiply(multiply(X_6,divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) != multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))
| divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5)) != Y
| multiply(multiply(X_6,Y),X_5) = multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5),multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))) ),[0,0,1],$fot(Y)]]) ).
cnf(refute_0_101,plain,
( multiply(multiply(X_6,divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) != multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))
| multiply(multiply(X_6,Y),X_5) = multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5)),Y) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(multiply(X_6,Y),X_5) = multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,divide(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5),multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_17,divide(multiply(X,divide(Y,divide(X,X_17))),X_17)) = multiply(X,divide(Y,divide(X,X_17))),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(multiply(X,divide(Y,divide(X,X_17))))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_104,plain,
divide(multiply(X,divide(Y,divide(X,X_17))),X_17) = Y,
inference(subst,[],[refute_0_13:[bind(Z,$fot(X_17))]]) ).
cnf(refute_0_105,plain,
( multiply(X_17,divide(multiply(X,divide(Y,divide(X,X_17))),X_17)) != multiply(X,divide(Y,divide(X,X_17)))
| divide(multiply(X,divide(Y,divide(X,X_17))),X_17) != Y
| multiply(X_17,Y) = multiply(X,divide(Y,divide(X,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,divide(multiply(X,divide(Y,divide(X,X_17))),X_17)),multiply(X,divide(Y,divide(X,X_17)))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_106,plain,
( multiply(X_17,divide(multiply(X,divide(Y,divide(X,X_17))),X_17)) != multiply(X,divide(Y,divide(X,X_17)))
| multiply(X_17,Y) = multiply(X,divide(Y,divide(X,X_17))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,X_17))),X_17),Y) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(X_17,Y) = multiply(X,divide(Y,divide(X,X_17))),
inference(resolve,[$cnf( $equal(multiply(X_17,divide(multiply(X,divide(Y,divide(X,X_17))),X_17)),multiply(X,divide(Y,divide(X,X_17)))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( multiply(X_17,Y) != multiply(X,divide(Y,divide(X,X_17)))
| multiply(X,divide(Y,divide(X,X_17))) = multiply(X_17,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_17,Y))),bind(Y0,$fot(multiply(X,divide(Y,divide(X,X_17)))))]]) ).
cnf(refute_0_109,plain,
multiply(X,divide(Y,divide(X,X_17))) = multiply(X_17,Y),
inference(resolve,[$cnf( $equal(multiply(X_17,Y),multiply(X,divide(Y,divide(X,X_17)))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))) = multiply(multiply(X_6,X_5),Y),
inference(subst,[],[refute_0_109:[bind(X_17,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_111,plain,
( multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))) != multiply(multiply(X_6,X_5),Y)
| multiply(multiply(X_6,Y),X_5) != multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))
| multiply(multiply(X_6,Y),X_5) = multiply(multiply(X_6,X_5),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,Y),X_5),multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))) ),[1],$fot(multiply(multiply(X_6,X_5),Y))]]) ).
cnf(refute_0_112,plain,
( multiply(multiply(X_6,Y),X_5) != multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))
| multiply(multiply(X_6,Y),X_5) = multiply(multiply(X_6,X_5),Y) ),
inference(resolve,[$cnf( $equal(multiply(X,divide(Y,divide(X,multiply(X_6,X_5)))),multiply(multiply(X_6,X_5),Y)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(multiply(X_6,Y),X_5) = multiply(multiply(X_6,X_5),Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,Y),X_5),multiply(X,divide(Y,divide(X,multiply(X_6,X_5))))) )],[refute_0_102,refute_0_112]) ).
cnf(refute_0_114,plain,
( multiply(multiply(X_6,Y),X_5) != multiply(multiply(X_6,X_5),Y)
| multiply(multiply(X_6,X_5),Y) = multiply(multiply(X_6,Y),X_5) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(multiply(X_6,Y),X_5))),bind(Y0,$fot(multiply(multiply(X_6,X_5),Y)))]]) ).
cnf(refute_0_115,plain,
multiply(multiply(X_6,X_5),Y) = multiply(multiply(X_6,Y),X_5),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,Y),X_5),multiply(multiply(X_6,X_5),Y)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(inverse(b2),a2),b2),
inference(subst,[],[refute_0_115:[bind(Y,$fot(a2)),bind(X_5,$fot(b2)),bind(X_6,$fot(inverse(b2)))]]) ).
cnf(refute_0_117,plain,
( multiply(multiply(inverse(b2),a2),b2) != a2
| multiply(multiply(inverse(b2),b2),a2) != multiply(multiply(inverse(b2),a2),b2)
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(multiply(inverse(b2),a2),b2))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_118,plain,
( multiply(multiply(inverse(b2),a2),b2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(inverse(b2),a2),b2)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),a2),b2),a2) )],[refute_0_97,refute_0_118]) ).
cnf(refute_0_120,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_121,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2
| inverse(divide(a1,a1)) != inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_121,refute_0_68]) ).
cnf(refute_0_123,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_124,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| inverse(divide(a1,a1)) != inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_123,refute_0_122]) ).
cnf(refute_0_125,plain,
multiply(inverse(X_29),X_29) = inverse(divide(X_29,X_29)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(X_29))]]) ).
cnf(refute_0_126,plain,
multiply(inverse(X_20),multiply(divide(Z,Z),X_20)) = divide(Z,Z),
inference(subst,[],[refute_0_50:[bind(Y,$fot(X_20)),bind(X_16,$fot(divide(Z,Z)))]]) ).
cnf(refute_0_127,plain,
multiply(X,divide(Y,divide(X,Z))) = multiply(Z,Y),
inference(subst,[],[refute_0_109:[bind(X_17,$fot(Z))]]) ).
cnf(refute_0_128,plain,
divide(multiply(X,divide(Y,divide(X,Z))),Z) = divide(multiply(X,divide(Y,divide(X,Z))),Z),
introduced(tautology,[refl,[$fot(divide(multiply(X,divide(Y,divide(X,Z))),Z))]]) ).
cnf(refute_0_129,plain,
( multiply(X,divide(Y,divide(X,Z))) != multiply(Z,Y)
| divide(multiply(X,divide(Y,divide(X,Z))),Z) != divide(multiply(X,divide(Y,divide(X,Z))),Z)
| divide(multiply(X,divide(Y,divide(X,Z))),Z) = divide(multiply(Z,Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,Z))),Z),divide(multiply(X,divide(Y,divide(X,Z))),Z)) ),[1,0],$fot(multiply(Z,Y))]]) ).
cnf(refute_0_130,plain,
( multiply(X,divide(Y,divide(X,Z))) != multiply(Z,Y)
| divide(multiply(X,divide(Y,divide(X,Z))),Z) = divide(multiply(Z,Y),Z) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,Z))),Z),divide(multiply(X,divide(Y,divide(X,Z))),Z)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
divide(multiply(X,divide(Y,divide(X,Z))),Z) = divide(multiply(Z,Y),Z),
inference(resolve,[$cnf( $equal(multiply(X,divide(Y,divide(X,Z))),multiply(Z,Y)) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
( divide(multiply(X,divide(Y,divide(X,Z))),Z) != Y
| divide(multiply(X,divide(Y,divide(X,Z))),Z) != divide(multiply(Z,Y),Z)
| divide(multiply(Z,Y),Z) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,Z))),Z),Y) ),[0],$fot(divide(multiply(Z,Y),Z))]]) ).
cnf(refute_0_133,plain,
( divide(multiply(X,divide(Y,divide(X,Z))),Z) != Y
| divide(multiply(Z,Y),Z) = Y ),
inference(resolve,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,Z))),Z),divide(multiply(Z,Y),Z)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(multiply(Z,Y),Z) = Y,
inference(resolve,[$cnf( $equal(divide(multiply(X,divide(Y,divide(X,Z))),Z),Y) )],[refute_0_13,refute_0_133]) ).
cnf(refute_0_135,plain,
divide(multiply(X,divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z))),Z) = multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),
inference(subst,[],[refute_0_13:[bind(Y,$fot(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))))]]) ).
cnf(refute_0_136,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z)) = X_3,
inference(subst,[],[refute_0_13:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(divide(X,Z)))]]) ).
cnf(refute_0_137,plain,
( divide(multiply(X,divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z))),Z) != multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))
| divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z)) != X_3
| divide(multiply(X,X_3),Z) = multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z))),Z),multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))) ),[0,0,1],$fot(X_3)]]) ).
cnf(refute_0_138,plain,
( divide(multiply(X,divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z))),Z) != multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))
| divide(multiply(X,X_3),Z) = multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z)),X_3) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
divide(multiply(X,X_3),Z) = multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),
inference(resolve,[$cnf( $equal(divide(multiply(X,divide(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),divide(X,Z))),Z),multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))) = multiply(divide(X,Z),X_3),
inference(subst,[],[refute_0_109:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(X_17,$fot(divide(X,Z)))]]) ).
cnf(refute_0_141,plain,
( multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))) != multiply(divide(X,Z),X_3)
| divide(multiply(X,X_3),Z) != multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))
| divide(multiply(X,X_3),Z) = multiply(divide(X,Z),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X,X_3),Z),multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))) ),[1],$fot(multiply(divide(X,Z),X_3))]]) ).
cnf(refute_0_142,plain,
( divide(multiply(X,X_3),Z) != multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))
| divide(multiply(X,X_3),Z) = multiply(divide(X,Z),X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,divide(X,Z)))),multiply(divide(X,Z),X_3)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
divide(multiply(X,X_3),Z) = multiply(divide(X,Z),X_3),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_3),Z),multiply(X_2,divide(X_3,divide(X_2,divide(X,Z))))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
divide(multiply(Z,Y),Z) = multiply(divide(Z,Z),Y),
inference(subst,[],[refute_0_143:[bind(X,$fot(Z)),bind(X_3,$fot(Y))]]) ).
cnf(refute_0_145,plain,
( divide(multiply(Z,Y),Z) != Y
| divide(multiply(Z,Y),Z) != multiply(divide(Z,Z),Y)
| multiply(divide(Z,Z),Y) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(Z,Y),Z),Y) ),[0],$fot(multiply(divide(Z,Z),Y))]]) ).
cnf(refute_0_146,plain,
( divide(multiply(Z,Y),Z) != Y
| multiply(divide(Z,Z),Y) = Y ),
inference(resolve,[$cnf( $equal(divide(multiply(Z,Y),Z),multiply(divide(Z,Z),Y)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(divide(Z,Z),Y) = Y,
inference(resolve,[$cnf( $equal(divide(multiply(Z,Y),Z),Y) )],[refute_0_134,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(divide(Z,Z),X_20) = X_20,
inference(subst,[],[refute_0_147:[bind(Y,$fot(X_20))]]) ).
cnf(refute_0_149,plain,
( multiply(divide(Z,Z),X_20) != X_20
| multiply(inverse(X_20),multiply(divide(Z,Z),X_20)) != divide(Z,Z)
| multiply(inverse(X_20),X_20) = divide(Z,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_20),multiply(divide(Z,Z),X_20)),divide(Z,Z)) ),[0,1],$fot(X_20)]]) ).
cnf(refute_0_150,plain,
( multiply(inverse(X_20),multiply(divide(Z,Z),X_20)) != divide(Z,Z)
| multiply(inverse(X_20),X_20) = divide(Z,Z) ),
inference(resolve,[$cnf( $equal(multiply(divide(Z,Z),X_20),X_20) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(inverse(X_20),X_20) = divide(Z,Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),multiply(divide(Z,Z),X_20)),divide(Z,Z)) )],[refute_0_126,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(inverse(X_20),X_20) = divide(X_22,X_22),
inference(subst,[],[refute_0_151:[bind(Z,$fot(X_22))]]) ).
cnf(refute_0_153,plain,
( multiply(inverse(X_20),X_20) != divide(Z,Z)
| multiply(inverse(X_20),X_20) != divide(X_22,X_22)
| divide(X_22,X_22) = divide(Z,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_20),X_20),divide(Z,Z)) ),[0],$fot(divide(X_22,X_22))]]) ).
cnf(refute_0_154,plain,
( multiply(inverse(X_20),X_20) != divide(Z,Z)
| divide(X_22,X_22) = divide(Z,Z) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),X_20),divide(X_22,X_22)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(X_22,X_22) = divide(Z,Z),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),X_20),divide(Z,Z)) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
divide(X_29,X_29) = divide(X_38,X_38),
inference(subst,[],[refute_0_155:[bind(Z,$fot(X_38)),bind(X_22,$fot(X_29))]]) ).
cnf(refute_0_157,plain,
( multiply(inverse(X_29),X_29) != inverse(divide(X_29,X_29))
| divide(X_29,X_29) != divide(X_38,X_38)
| multiply(inverse(X_29),X_29) = inverse(divide(X_38,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_29),X_29),inverse(divide(X_29,X_29))) ),[1,0],$fot(divide(X_38,X_38))]]) ).
cnf(refute_0_158,plain,
( multiply(inverse(X_29),X_29) != inverse(divide(X_29,X_29))
| multiply(inverse(X_29),X_29) = inverse(divide(X_38,X_38)) ),
inference(resolve,[$cnf( $equal(divide(X_29,X_29),divide(X_38,X_38)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(inverse(X_29),X_29) = inverse(divide(X_38,X_38)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),X_29),inverse(divide(X_29,X_29))) )],[refute_0_125,refute_0_158]) ).
cnf(refute_0_160,plain,
( multiply(inverse(X_29),X_29) != inverse(divide(X_29,X_29))
| multiply(inverse(X_29),X_29) != inverse(divide(X_38,X_38))
| inverse(divide(X_29,X_29)) = inverse(divide(X_38,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_29),X_29),inverse(divide(X_38,X_38))) ),[0],$fot(inverse(divide(X_29,X_29)))]]) ).
cnf(refute_0_161,plain,
( multiply(inverse(X_29),X_29) != inverse(divide(X_38,X_38))
| inverse(divide(X_29,X_29)) = inverse(divide(X_38,X_38)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),X_29),inverse(divide(X_29,X_29))) )],[refute_0_125,refute_0_160]) ).
cnf(refute_0_162,plain,
inverse(divide(X_29,X_29)) = inverse(divide(X_38,X_38)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),X_29),inverse(divide(X_38,X_38))) )],[refute_0_159,refute_0_161]) ).
cnf(refute_0_163,plain,
( inverse(divide(X_29,X_29)) != inverse(divide(X_38,X_38))
| inverse(divide(X_38,X_38)) = inverse(divide(X_29,X_29)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(divide(X_29,X_29)))),bind(Y0,$fot(inverse(divide(X_38,X_38))))]]) ).
cnf(refute_0_164,plain,
inverse(divide(X_38,X_38)) = inverse(divide(X_29,X_29)),
inference(resolve,[$cnf( $equal(inverse(divide(X_29,X_29)),inverse(divide(X_38,X_38))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(divide(a1,a1)) = inverse(divide(b1,b1)),
inference(subst,[],[refute_0_164:[bind(X_29,$fot(b1)),bind(X_38,$fot(a1))]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(inverse(divide(a1,a1)),inverse(divide(b1,b1))) )],[refute_0_165,refute_0_124]) ).
cnf(refute_0_167,plain,
X_29 = inverse(divide(divide(multiply(X_45,X_47),X_29),multiply(X_45,X_47))),
inference(subst,[],[refute_0_82:[bind(Y,$fot(multiply(X_45,X_47)))]]) ).
cnf(refute_0_168,plain,
divide(multiply(X_45,X_47),X_29) = multiply(divide(X_45,X_29),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(X_45)),bind(Z,$fot(X_29)),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_169,plain,
( X_29 != inverse(divide(divide(multiply(X_45,X_47),X_29),multiply(X_45,X_47)))
| divide(multiply(X_45,X_47),X_29) != multiply(divide(X_45,X_29),X_47)
| X_29 = inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,inverse(divide(divide(multiply(X_45,X_47),X_29),multiply(X_45,X_47)))) ),[1,0,0],$fot(multiply(divide(X_45,X_29),X_47))]]) ).
cnf(refute_0_170,plain,
( X_29 != inverse(divide(divide(multiply(X_45,X_47),X_29),multiply(X_45,X_47)))
| X_29 = inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_47),X_29),multiply(divide(X_45,X_29),X_47)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
X_29 = inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))),
inference(resolve,[$cnf( $equal(X_29,inverse(divide(divide(multiply(X_45,X_47),X_29),multiply(X_45,X_47)))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)) = multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(divide(X_45,X_29))),bind(Z,$fot(multiply(X_45,X_47))),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_173,plain,
inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) = inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))),
introduced(tautology,[refl,[$fot(inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))))]]) ).
cnf(refute_0_174,plain,
( divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)) != multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)
| inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) != inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)))
| inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) = inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))),inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)))) ),[1,0],$fot(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47))]]) ).
cnf(refute_0_175,plain,
( divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)) != multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)
| inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) = inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))),inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) = inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)),multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( X_29 != inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)))
| inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))) != inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47))
| X_29 = inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47))) ),[0],$fot(inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))))]]) ).
cnf(refute_0_178,plain,
( X_29 != inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)))
| X_29 = inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47))),inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
X_29 = inverse(multiply(divide(divide(X_45,X_29),multiply(X_45,X_47)),X_47)),
inference(resolve,[$cnf( $equal(X_29,inverse(divide(multiply(divide(X_45,X_29),X_47),multiply(X_45,X_47)))) )],[refute_0_171,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(X_45,X_55) = inverse(multiply(divide(divide(X_45,multiply(X_45,X_55)),multiply(X_45,X_47)),X_47)),
inference(subst,[],[refute_0_179:[bind(X_29,$fot(multiply(X_45,X_55)))]]) ).
cnf(refute_0_181,plain,
multiply(divide(inverse(Y),inverse(Y)),X_18) = X_18,
inference(subst,[],[refute_0_147:[bind(Y,$fot(X_18)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_182,plain,
multiply(inverse(Y),Y) = divide(inverse(Y),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_183,plain,
( multiply(inverse(Y),Y) != divide(inverse(Y),inverse(Y))
| divide(inverse(Y),inverse(Y)) = multiply(inverse(Y),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(Y),Y))),bind(Y0,$fot(divide(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_184,plain,
divide(inverse(Y),inverse(Y)) = multiply(inverse(Y),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),divide(inverse(Y),inverse(Y))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( multiply(divide(inverse(Y),inverse(Y)),X_18) != X_18
| divide(inverse(Y),inverse(Y)) != multiply(inverse(Y),Y)
| multiply(multiply(inverse(Y),Y),X_18) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(Y),inverse(Y)),X_18),X_18) ),[0,0],$fot(multiply(inverse(Y),Y))]]) ).
cnf(refute_0_186,plain,
( multiply(divide(inverse(Y),inverse(Y)),X_18) != X_18
| multiply(multiply(inverse(Y),Y),X_18) = X_18 ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),inverse(Y)),multiply(inverse(Y),Y)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(multiply(inverse(Y),Y),X_18) = X_18,
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),inverse(Y)),X_18),X_18) )],[refute_0_181,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(inverse(divide(Y,Y)),X_18) = inverse(divide(divide(Y,Y),X_18)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(divide(Y,Y))),bind(X_29,$fot(X_18))]]) ).
cnf(refute_0_189,plain,
multiply(inverse(Y),Y) = inverse(divide(Y,Y)),
inference(subst,[],[refute_0_60:[bind(X_29,$fot(Y))]]) ).
cnf(refute_0_190,plain,
multiply(multiply(inverse(Y),Y),X_18) = multiply(multiply(inverse(Y),Y),X_18),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(Y),Y),X_18))]]) ).
cnf(refute_0_191,plain,
( multiply(multiply(inverse(Y),Y),X_18) != multiply(multiply(inverse(Y),Y),X_18)
| multiply(inverse(Y),Y) != inverse(divide(Y,Y))
| multiply(multiply(inverse(Y),Y),X_18) = multiply(inverse(divide(Y,Y)),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),Y),X_18),multiply(multiply(inverse(Y),Y),X_18)) ),[1,0],$fot(inverse(divide(Y,Y)))]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(Y),Y) != inverse(divide(Y,Y))
| multiply(multiply(inverse(Y),Y),X_18) = multiply(inverse(divide(Y,Y)),X_18) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),Y),X_18),multiply(multiply(inverse(Y),Y),X_18)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(multiply(inverse(Y),Y),X_18) = multiply(inverse(divide(Y,Y)),X_18),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),inverse(divide(Y,Y))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( multiply(multiply(inverse(Y),Y),X_18) != multiply(inverse(divide(Y,Y)),X_18)
| multiply(inverse(divide(Y,Y)),X_18) != inverse(divide(divide(Y,Y),X_18))
| multiply(multiply(inverse(Y),Y),X_18) = inverse(divide(divide(Y,Y),X_18)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(multiply(inverse(Y),Y),X_18))),bind(Y0,$fot(multiply(inverse(divide(Y,Y)),X_18))),bind(Z0,$fot(inverse(divide(divide(Y,Y),X_18))))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(divide(Y,Y)),X_18) != inverse(divide(divide(Y,Y),X_18))
| multiply(multiply(inverse(Y),Y),X_18) = inverse(divide(divide(Y,Y),X_18)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),Y),X_18),multiply(inverse(divide(Y,Y)),X_18)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(multiply(inverse(Y),Y),X_18) = inverse(divide(divide(Y,Y),X_18)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,Y)),X_18),inverse(divide(divide(Y,Y),X_18))) )],[refute_0_188,refute_0_195]) ).
cnf(refute_0_197,plain,
( multiply(multiply(inverse(Y),Y),X_18) != X_18
| multiply(multiply(inverse(Y),Y),X_18) != inverse(divide(divide(Y,Y),X_18))
| inverse(divide(divide(Y,Y),X_18)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),Y),X_18),X_18) ),[0],$fot(inverse(divide(divide(Y,Y),X_18)))]]) ).
cnf(refute_0_198,plain,
( multiply(multiply(inverse(Y),Y),X_18) != X_18
| inverse(divide(divide(Y,Y),X_18)) = X_18 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),Y),X_18),inverse(divide(divide(Y,Y),X_18))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(divide(divide(Y,Y),X_18)) = X_18,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),Y),X_18),X_18) )],[refute_0_187,refute_0_198]) ).
cnf(refute_0_200,plain,
inverse(divide(divide(multiply(X_45,X_47),multiply(X_45,X_47)),X_18)) = X_18,
inference(subst,[],[refute_0_199:[bind(Y,$fot(multiply(X_45,X_47)))]]) ).
cnf(refute_0_201,plain,
divide(multiply(X_45,X_47),multiply(X_45,X_47)) = multiply(divide(X_45,multiply(X_45,X_47)),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(X_45)),bind(Z,$fot(multiply(X_45,X_47))),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_202,plain,
( divide(multiply(X_45,X_47),multiply(X_45,X_47)) != multiply(divide(X_45,multiply(X_45,X_47)),X_47)
| inverse(divide(divide(multiply(X_45,X_47),multiply(X_45,X_47)),X_18)) != X_18
| inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(multiply(X_45,X_47),multiply(X_45,X_47)),X_18)),X_18) ),[0,0,0],$fot(multiply(divide(X_45,multiply(X_45,X_47)),X_47))]]) ).
cnf(refute_0_203,plain,
( inverse(divide(divide(multiply(X_45,X_47),multiply(X_45,X_47)),X_18)) != X_18
| inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = X_18 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_47),multiply(X_45,X_47)),multiply(divide(X_45,multiply(X_45,X_47)),X_47)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = X_18,
inference(resolve,[$cnf( $equal(inverse(divide(divide(multiply(X_45,X_47),multiply(X_45,X_47)),X_18)),X_18) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18) = multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(divide(X_45,multiply(X_45,X_47)))),bind(Z,$fot(X_18)),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_206,plain,
inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)),
introduced(tautology,[refl,[$fot(inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)))]]) ).
cnf(refute_0_207,plain,
( divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18) != multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)
| inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) != inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18))
| inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)),inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18))) ),[1,0],$fot(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47))]]) ).
cnf(refute_0_208,plain,
( divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18) != multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)
| inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)),inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) = inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18),multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) != X_18
| inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) != inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47))
| inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)),X_18) ),[0],$fot(inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)))]]) ).
cnf(refute_0_211,plain,
( inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)) != X_18
| inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)),inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(multiply(divide(divide(X_45,multiply(X_45,X_47)),X_18),X_47)) = X_18,
inference(resolve,[$cnf( $equal(inverse(divide(multiply(divide(X_45,multiply(X_45,X_47)),X_47),X_18)),X_18) )],[refute_0_204,refute_0_211]) ).
cnf(refute_0_213,plain,
inverse(multiply(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),X_53)) = divide(X_52,multiply(X_52,X_53)),
inference(subst,[],[refute_0_212:[bind(X_18,$fot(divide(X_52,multiply(X_52,X_53)))),bind(X_45,$fot(X_52)),bind(X_47,$fot(X_53))]]) ).
cnf(refute_0_214,plain,
divide(X_22,X_22) = divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),
inference(subst,[],[refute_0_155:[bind(Z,$fot(divide(X_52,multiply(X_52,X_53))))]]) ).
cnf(refute_0_215,plain,
( divide(X_22,X_22) != divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53)))
| divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))) = divide(X_22,X_22) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_22,X_22))),bind(Y0,$fot(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53)))))]]) ).
cnf(refute_0_216,plain,
divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))) = divide(X_22,X_22),
inference(resolve,[$cnf( $equal(divide(X_22,X_22),divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))) != divide(X_22,X_22)
| inverse(multiply(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),X_53)) != divide(X_52,multiply(X_52,X_53))
| inverse(multiply(divide(X_22,X_22),X_53)) = divide(X_52,multiply(X_52,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),X_53)),divide(X_52,multiply(X_52,X_53))) ),[0,0,0],$fot(divide(X_22,X_22))]]) ).
cnf(refute_0_218,plain,
( inverse(multiply(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),X_53)) != divide(X_52,multiply(X_52,X_53))
| inverse(multiply(divide(X_22,X_22),X_53)) = divide(X_52,multiply(X_52,X_53)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),divide(X_22,X_22)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(multiply(divide(X_22,X_22),X_53)) = divide(X_52,multiply(X_52,X_53)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(divide(X_52,multiply(X_52,X_53)),divide(X_52,multiply(X_52,X_53))),X_53)),divide(X_52,multiply(X_52,X_53))) )],[refute_0_213,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(divide(X_22,X_22),X_53) = X_53,
inference(subst,[],[refute_0_147:[bind(Y,$fot(X_53)),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_221,plain,
inverse(multiply(divide(X_22,X_22),X_53)) = inverse(multiply(divide(X_22,X_22),X_53)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(X_22,X_22),X_53)))]]) ).
cnf(refute_0_222,plain,
( multiply(divide(X_22,X_22),X_53) != X_53
| inverse(multiply(divide(X_22,X_22),X_53)) != inverse(multiply(divide(X_22,X_22),X_53))
| inverse(multiply(divide(X_22,X_22),X_53)) = inverse(X_53) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_22,X_22),X_53)),inverse(multiply(divide(X_22,X_22),X_53))) ),[1,0],$fot(X_53)]]) ).
cnf(refute_0_223,plain,
( multiply(divide(X_22,X_22),X_53) != X_53
| inverse(multiply(divide(X_22,X_22),X_53)) = inverse(X_53) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_22,X_22),X_53)),inverse(multiply(divide(X_22,X_22),X_53))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
inverse(multiply(divide(X_22,X_22),X_53)) = inverse(X_53),
inference(resolve,[$cnf( $equal(multiply(divide(X_22,X_22),X_53),X_53) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( inverse(multiply(divide(X_22,X_22),X_53)) != divide(X_52,multiply(X_52,X_53))
| inverse(multiply(divide(X_22,X_22),X_53)) != inverse(X_53)
| inverse(X_53) = divide(X_52,multiply(X_52,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_22,X_22),X_53)),divide(X_52,multiply(X_52,X_53))) ),[0],$fot(inverse(X_53))]]) ).
cnf(refute_0_226,plain,
( inverse(multiply(divide(X_22,X_22),X_53)) != divide(X_52,multiply(X_52,X_53))
| inverse(X_53) = divide(X_52,multiply(X_52,X_53)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_22,X_22),X_53)),inverse(X_53)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
inverse(X_53) = divide(X_52,multiply(X_52,X_53)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_22,X_22),X_53)),divide(X_52,multiply(X_52,X_53))) )],[refute_0_219,refute_0_226]) ).
cnf(refute_0_228,plain,
inverse(X_55) = divide(X_45,multiply(X_45,X_55)),
inference(subst,[],[refute_0_227:[bind(X_52,$fot(X_45)),bind(X_53,$fot(X_55))]]) ).
cnf(refute_0_229,plain,
( inverse(X_55) != divide(X_45,multiply(X_45,X_55))
| divide(X_45,multiply(X_45,X_55)) = inverse(X_55) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_55))),bind(Y0,$fot(divide(X_45,multiply(X_45,X_55))))]]) ).
cnf(refute_0_230,plain,
divide(X_45,multiply(X_45,X_55)) = inverse(X_55),
inference(resolve,[$cnf( $equal(inverse(X_55),divide(X_45,multiply(X_45,X_55))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
( multiply(X_45,X_55) != inverse(multiply(divide(divide(X_45,multiply(X_45,X_55)),multiply(X_45,X_47)),X_47))
| divide(X_45,multiply(X_45,X_55)) != inverse(X_55)
| multiply(X_45,X_55) = inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_45,X_55),inverse(multiply(divide(divide(X_45,multiply(X_45,X_55)),multiply(X_45,X_47)),X_47))) ),[1,0,0,0],$fot(inverse(X_55))]]) ).
cnf(refute_0_232,plain,
( multiply(X_45,X_55) != inverse(multiply(divide(divide(X_45,multiply(X_45,X_55)),multiply(X_45,X_47)),X_47))
| multiply(X_45,X_55) = inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) ),
inference(resolve,[$cnf( $equal(divide(X_45,multiply(X_45,X_55)),inverse(X_55)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_45,X_55) = inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)),
inference(resolve,[$cnf( $equal(multiply(X_45,X_55),inverse(multiply(divide(divide(X_45,multiply(X_45,X_55)),multiply(X_45,X_47)),X_47))) )],[refute_0_180,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_47,divide(X_45,divide(X_47,X_55))) = multiply(X_55,X_45),
inference(subst,[],[refute_0_109:[bind(X,$fot(X_47)),bind(Y,$fot(X_45)),bind(X_17,$fot(X_55))]]) ).
cnf(refute_0_235,plain,
multiply(inverse(divide(divide(Y,Y),X_18)),X_35) = inverse(divide(divide(divide(Y,Y),X_18),X_35)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(divide(divide(Y,Y),X_18))),bind(X_29,$fot(X_35))]]) ).
cnf(refute_0_236,plain,
( multiply(inverse(divide(divide(Y,Y),X_18)),X_35) != inverse(divide(divide(divide(Y,Y),X_18),X_35))
| inverse(divide(divide(Y,Y),X_18)) != X_18
| multiply(X_18,X_35) = inverse(divide(divide(divide(Y,Y),X_18),X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(divide(Y,Y),X_18)),X_35),inverse(divide(divide(divide(Y,Y),X_18),X_35))) ),[0,0],$fot(X_18)]]) ).
cnf(refute_0_237,plain,
( multiply(inverse(divide(divide(Y,Y),X_18)),X_35) != inverse(divide(divide(divide(Y,Y),X_18),X_35))
| multiply(X_18,X_35) = inverse(divide(divide(divide(Y,Y),X_18),X_35)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(Y,Y),X_18)),X_18) )],[refute_0_199,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(X_18,X_35) = inverse(divide(divide(divide(Y,Y),X_18),X_35)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(Y,Y),X_18)),X_35),inverse(divide(divide(divide(Y,Y),X_18),X_35))) )],[refute_0_235,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(X_35,inverse(X_18)) = multiply(X_35,X_18),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_35)),bind(Y,$fot(X_18))]]) ).
cnf(refute_0_240,plain,
inverse(X_55) = divide(divide(Z,Z),multiply(divide(Z,Z),X_55)),
inference(subst,[],[refute_0_227:[bind(X_52,$fot(divide(Z,Z))),bind(X_53,$fot(X_55))]]) ).
cnf(refute_0_241,plain,
multiply(divide(Z,Z),X_55) = X_55,
inference(subst,[],[refute_0_147:[bind(Y,$fot(X_55))]]) ).
cnf(refute_0_242,plain,
( multiply(divide(Z,Z),X_55) != X_55
| inverse(X_55) != divide(divide(Z,Z),multiply(divide(Z,Z),X_55))
| inverse(X_55) = divide(divide(Z,Z),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_55),divide(divide(Z,Z),multiply(divide(Z,Z),X_55))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_243,plain,
( inverse(X_55) != divide(divide(Z,Z),multiply(divide(Z,Z),X_55))
| inverse(X_55) = divide(divide(Z,Z),X_55) ),
inference(resolve,[$cnf( $equal(multiply(divide(Z,Z),X_55),X_55) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
inverse(X_55) = divide(divide(Z,Z),X_55),
inference(resolve,[$cnf( $equal(inverse(X_55),divide(divide(Z,Z),multiply(divide(Z,Z),X_55))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( inverse(X_55) != divide(divide(Z,Z),X_55)
| divide(divide(Z,Z),X_55) = inverse(X_55) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_55))),bind(Y0,$fot(divide(divide(Z,Z),X_55)))]]) ).
cnf(refute_0_246,plain,
divide(divide(Z,Z),X_55) = inverse(X_55),
inference(resolve,[$cnf( $equal(inverse(X_55),divide(divide(Z,Z),X_55)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
divide(divide(Y,Y),X_18) = inverse(X_18),
inference(subst,[],[refute_0_246:[bind(Z,$fot(Y)),bind(X_55,$fot(X_18))]]) ).
cnf(refute_0_248,plain,
divide(X_35,divide(divide(Y,Y),X_18)) = divide(X_35,divide(divide(Y,Y),X_18)),
introduced(tautology,[refl,[$fot(divide(X_35,divide(divide(Y,Y),X_18)))]]) ).
cnf(refute_0_249,plain,
( divide(X_35,divide(divide(Y,Y),X_18)) != divide(X_35,divide(divide(Y,Y),X_18))
| divide(divide(Y,Y),X_18) != inverse(X_18)
| divide(X_35,divide(divide(Y,Y),X_18)) = divide(X_35,inverse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_35,divide(divide(Y,Y),X_18)),divide(X_35,divide(divide(Y,Y),X_18))) ),[1,1],$fot(inverse(X_18))]]) ).
cnf(refute_0_250,plain,
( divide(divide(Y,Y),X_18) != inverse(X_18)
| divide(X_35,divide(divide(Y,Y),X_18)) = divide(X_35,inverse(X_18)) ),
inference(resolve,[$cnf( $equal(divide(X_35,divide(divide(Y,Y),X_18)),divide(X_35,divide(divide(Y,Y),X_18))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
divide(X_35,divide(divide(Y,Y),X_18)) = divide(X_35,inverse(X_18)),
inference(resolve,[$cnf( $equal(divide(divide(Y,Y),X_18),inverse(X_18)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( divide(X_35,divide(divide(Y,Y),X_18)) != divide(X_35,inverse(X_18))
| divide(X_35,inverse(X_18)) != multiply(X_35,X_18)
| divide(X_35,divide(divide(Y,Y),X_18)) = multiply(X_35,X_18) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(X_35,divide(divide(Y,Y),X_18)))),bind(Y0,$fot(divide(X_35,inverse(X_18)))),bind(Z0,$fot(multiply(X_35,X_18)))]]) ).
cnf(refute_0_253,plain,
( divide(X_35,inverse(X_18)) != multiply(X_35,X_18)
| divide(X_35,divide(divide(Y,Y),X_18)) = multiply(X_35,X_18) ),
inference(resolve,[$cnf( $equal(divide(X_35,divide(divide(Y,Y),X_18)),divide(X_35,inverse(X_18))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
divide(X_35,divide(divide(Y,Y),X_18)) = multiply(X_35,X_18),
inference(resolve,[$cnf( $equal(divide(X_35,inverse(X_18)),multiply(X_35,X_18)) )],[refute_0_239,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(inverse(divide(X_29,X_29)),X_29) = X_29,
inference(subst,[],[refute_0_56:[bind(X_13,$fot(X_29)),bind(X_21,$fot(X_29))]]) ).
cnf(refute_0_256,plain,
multiply(inverse(X_20),X_20) = divide(X_29,X_29),
inference(subst,[],[refute_0_151:[bind(Z,$fot(X_29))]]) ).
cnf(refute_0_257,plain,
( multiply(inverse(X_20),X_20) != divide(X_29,X_29)
| divide(X_29,X_29) = multiply(inverse(X_20),X_20) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_20),X_20))),bind(Y0,$fot(divide(X_29,X_29)))]]) ).
cnf(refute_0_258,plain,
divide(X_29,X_29) = multiply(inverse(X_20),X_20),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),X_20),divide(X_29,X_29)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
( multiply(inverse(divide(X_29,X_29)),X_29) != X_29
| divide(X_29,X_29) != multiply(inverse(X_20),X_20)
| multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_29,X_29)),X_29),X_29) ),[0,0,0],$fot(multiply(inverse(X_20),X_20))]]) ).
cnf(refute_0_260,plain,
( multiply(inverse(divide(X_29,X_29)),X_29) != X_29
| multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = X_29 ),
inference(resolve,[$cnf( $equal(divide(X_29,X_29),multiply(inverse(X_20),X_20)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = X_29,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_29,X_29)),X_29),X_29) )],[refute_0_255,refute_0_260]) ).
cnf(refute_0_262,plain,
divide(multiply(inverse(X_20),X_20),X_29) = multiply(divide(inverse(X_20),X_29),X_20),
inference(subst,[],[refute_0_143:[bind(X,$fot(inverse(X_20))),bind(Z,$fot(X_29)),bind(X_3,$fot(X_20))]]) ).
cnf(refute_0_263,plain,
inverse(divide(multiply(inverse(X_20),X_20),X_29)) = inverse(divide(multiply(inverse(X_20),X_20),X_29)),
introduced(tautology,[refl,[$fot(inverse(divide(multiply(inverse(X_20),X_20),X_29)))]]) ).
cnf(refute_0_264,plain,
( divide(multiply(inverse(X_20),X_20),X_29) != multiply(divide(inverse(X_20),X_29),X_20)
| inverse(divide(multiply(inverse(X_20),X_20),X_29)) != inverse(divide(multiply(inverse(X_20),X_20),X_29))
| inverse(divide(multiply(inverse(X_20),X_20),X_29)) = inverse(multiply(divide(inverse(X_20),X_29),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(inverse(X_20),X_20),X_29)),inverse(divide(multiply(inverse(X_20),X_20),X_29))) ),[1,0],$fot(multiply(divide(inverse(X_20),X_29),X_20))]]) ).
cnf(refute_0_265,plain,
( divide(multiply(inverse(X_20),X_20),X_29) != multiply(divide(inverse(X_20),X_29),X_20)
| inverse(divide(multiply(inverse(X_20),X_20),X_29)) = inverse(multiply(divide(inverse(X_20),X_29),X_20)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(inverse(X_20),X_20),X_29)),inverse(divide(multiply(inverse(X_20),X_20),X_29))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
inverse(divide(multiply(inverse(X_20),X_20),X_29)) = inverse(multiply(divide(inverse(X_20),X_29),X_20)),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_20),X_20),X_29),multiply(divide(inverse(X_20),X_29),X_20)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = inverse(divide(multiply(inverse(X_20),X_20),X_29)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(multiply(inverse(X_20),X_20)))]]) ).
cnf(refute_0_268,plain,
( multiply(inverse(multiply(inverse(X_20),X_20)),X_29) != inverse(divide(multiply(inverse(X_20),X_20),X_29))
| inverse(divide(multiply(inverse(X_20),X_20),X_29)) != inverse(multiply(divide(inverse(X_20),X_29),X_20))
| multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = inverse(multiply(divide(inverse(X_20),X_29),X_20)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_20),X_20)),X_29))),bind(Y0,$fot(inverse(divide(multiply(inverse(X_20),X_20),X_29)))),bind(Z0,$fot(inverse(multiply(divide(inverse(X_20),X_29),X_20))))]]) ).
cnf(refute_0_269,plain,
( inverse(divide(multiply(inverse(X_20),X_20),X_29)) != inverse(multiply(divide(inverse(X_20),X_29),X_20))
| multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = inverse(multiply(divide(inverse(X_20),X_29),X_20)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_20),X_20)),X_29),inverse(divide(multiply(inverse(X_20),X_20),X_29))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(inverse(multiply(inverse(X_20),X_20)),X_29) = inverse(multiply(divide(inverse(X_20),X_29),X_20)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(inverse(X_20),X_20),X_29)),inverse(multiply(divide(inverse(X_20),X_29),X_20))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiply(inverse(multiply(inverse(X_20),X_20)),X_29) != X_29
| multiply(inverse(multiply(inverse(X_20),X_20)),X_29) != inverse(multiply(divide(inverse(X_20),X_29),X_20))
| inverse(multiply(divide(inverse(X_20),X_29),X_20)) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_20),X_20)),X_29),X_29) ),[0],$fot(inverse(multiply(divide(inverse(X_20),X_29),X_20)))]]) ).
cnf(refute_0_272,plain,
( multiply(inverse(multiply(inverse(X_20),X_20)),X_29) != X_29
| inverse(multiply(divide(inverse(X_20),X_29),X_20)) = X_29 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_20),X_20)),X_29),inverse(multiply(divide(inverse(X_20),X_29),X_20))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
inverse(multiply(divide(inverse(X_20),X_29),X_20)) = X_29,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_20),X_20)),X_29),X_29) )],[refute_0_261,refute_0_272]) ).
cnf(refute_0_274,plain,
inverse(multiply(divide(inverse(X_20),multiply(inverse(X_20),X_55)),X_20)) = multiply(inverse(X_20),X_55),
inference(subst,[],[refute_0_273:[bind(X_29,$fot(multiply(inverse(X_20),X_55)))]]) ).
cnf(refute_0_275,plain,
inverse(X_55) = divide(inverse(X_20),multiply(inverse(X_20),X_55)),
inference(subst,[],[refute_0_227:[bind(X_52,$fot(inverse(X_20))),bind(X_53,$fot(X_55))]]) ).
cnf(refute_0_276,plain,
( inverse(X_55) != divide(inverse(X_20),multiply(inverse(X_20),X_55))
| divide(inverse(X_20),multiply(inverse(X_20),X_55)) = inverse(X_55) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_55))),bind(Y0,$fot(divide(inverse(X_20),multiply(inverse(X_20),X_55))))]]) ).
cnf(refute_0_277,plain,
divide(inverse(X_20),multiply(inverse(X_20),X_55)) = inverse(X_55),
inference(resolve,[$cnf( $equal(inverse(X_55),divide(inverse(X_20),multiply(inverse(X_20),X_55))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( divide(inverse(X_20),multiply(inverse(X_20),X_55)) != inverse(X_55)
| inverse(multiply(divide(inverse(X_20),multiply(inverse(X_20),X_55)),X_20)) != multiply(inverse(X_20),X_55)
| inverse(multiply(inverse(X_55),X_20)) = multiply(inverse(X_20),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_20),multiply(inverse(X_20),X_55)),X_20)),multiply(inverse(X_20),X_55)) ),[0,0,0],$fot(inverse(X_55))]]) ).
cnf(refute_0_279,plain,
( inverse(multiply(divide(inverse(X_20),multiply(inverse(X_20),X_55)),X_20)) != multiply(inverse(X_20),X_55)
| inverse(multiply(inverse(X_55),X_20)) = multiply(inverse(X_20),X_55) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_20),multiply(inverse(X_20),X_55)),inverse(X_55)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
inverse(multiply(inverse(X_55),X_20)) = multiply(inverse(X_20),X_55),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_20),multiply(inverse(X_20),X_55)),X_20)),multiply(inverse(X_20),X_55)) )],[refute_0_274,refute_0_279]) ).
cnf(refute_0_281,plain,
inverse(divide(divide(Y,Y),multiply(divide(Y,Y),X_55))) = multiply(divide(Y,Y),X_55),
inference(subst,[],[refute_0_199:[bind(X_18,$fot(multiply(divide(Y,Y),X_55)))]]) ).
cnf(refute_0_282,plain,
inverse(X_55) = divide(divide(Y,Y),multiply(divide(Y,Y),X_55)),
inference(subst,[],[refute_0_227:[bind(X_52,$fot(divide(Y,Y))),bind(X_53,$fot(X_55))]]) ).
cnf(refute_0_283,plain,
( inverse(X_55) != divide(divide(Y,Y),multiply(divide(Y,Y),X_55))
| divide(divide(Y,Y),multiply(divide(Y,Y),X_55)) = inverse(X_55) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_55))),bind(Y0,$fot(divide(divide(Y,Y),multiply(divide(Y,Y),X_55))))]]) ).
cnf(refute_0_284,plain,
divide(divide(Y,Y),multiply(divide(Y,Y),X_55)) = inverse(X_55),
inference(resolve,[$cnf( $equal(inverse(X_55),divide(divide(Y,Y),multiply(divide(Y,Y),X_55))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( divide(divide(Y,Y),multiply(divide(Y,Y),X_55)) != inverse(X_55)
| inverse(divide(divide(Y,Y),multiply(divide(Y,Y),X_55))) != multiply(divide(Y,Y),X_55)
| inverse(inverse(X_55)) = multiply(divide(Y,Y),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(Y,Y),multiply(divide(Y,Y),X_55))),multiply(divide(Y,Y),X_55)) ),[0,0],$fot(inverse(X_55))]]) ).
cnf(refute_0_286,plain,
( inverse(divide(divide(Y,Y),multiply(divide(Y,Y),X_55))) != multiply(divide(Y,Y),X_55)
| inverse(inverse(X_55)) = multiply(divide(Y,Y),X_55) ),
inference(resolve,[$cnf( $equal(divide(divide(Y,Y),multiply(divide(Y,Y),X_55)),inverse(X_55)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
inverse(inverse(X_55)) = multiply(divide(Y,Y),X_55),
inference(resolve,[$cnf( $equal(inverse(divide(divide(Y,Y),multiply(divide(Y,Y),X_55))),multiply(divide(Y,Y),X_55)) )],[refute_0_281,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(divide(Y,Y),X_55) = X_55,
inference(subst,[],[refute_0_147:[bind(Y,$fot(X_55)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_289,plain,
( multiply(divide(Y,Y),X_55) != X_55
| inverse(inverse(X_55)) != multiply(divide(Y,Y),X_55)
| inverse(inverse(X_55)) = X_55 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_55)),multiply(divide(Y,Y),X_55)) ),[1],$fot(X_55)]]) ).
cnf(refute_0_290,plain,
( inverse(inverse(X_55)) != multiply(divide(Y,Y),X_55)
| inverse(inverse(X_55)) = X_55 ),
inference(resolve,[$cnf( $equal(multiply(divide(Y,Y),X_55),X_55) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
inverse(inverse(X_55)) = X_55,
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),multiply(divide(Y,Y),X_55)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
inverse(inverse(divide(X_55,X_20))) = divide(X_55,X_20),
inference(subst,[],[refute_0_291:[bind(X_55,$fot(divide(X_55,X_20)))]]) ).
cnf(refute_0_293,plain,
multiply(inverse(X_55),X_20) = inverse(divide(X_55,X_20)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(X_55)),bind(X_29,$fot(X_20))]]) ).
cnf(refute_0_294,plain,
inverse(multiply(inverse(X_55),X_20)) = inverse(multiply(inverse(X_55),X_20)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_55),X_20)))]]) ).
cnf(refute_0_295,plain,
( multiply(inverse(X_55),X_20) != inverse(divide(X_55,X_20))
| inverse(multiply(inverse(X_55),X_20)) != inverse(multiply(inverse(X_55),X_20))
| inverse(multiply(inverse(X_55),X_20)) = inverse(inverse(divide(X_55,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_55),X_20)),inverse(multiply(inverse(X_55),X_20))) ),[1,0],$fot(inverse(divide(X_55,X_20)))]]) ).
cnf(refute_0_296,plain,
( multiply(inverse(X_55),X_20) != inverse(divide(X_55,X_20))
| inverse(multiply(inverse(X_55),X_20)) = inverse(inverse(divide(X_55,X_20))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_55),X_20)),inverse(multiply(inverse(X_55),X_20))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
inverse(multiply(inverse(X_55),X_20)) = inverse(inverse(divide(X_55,X_20))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_55),X_20),inverse(divide(X_55,X_20))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
( inverse(multiply(inverse(X_55),X_20)) != inverse(inverse(divide(X_55,X_20)))
| inverse(inverse(divide(X_55,X_20))) != divide(X_55,X_20)
| inverse(multiply(inverse(X_55),X_20)) = divide(X_55,X_20) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(inverse(multiply(inverse(X_55),X_20)))),bind(Y0,$fot(inverse(inverse(divide(X_55,X_20))))),bind(Z0,$fot(divide(X_55,X_20)))]]) ).
cnf(refute_0_299,plain,
( inverse(inverse(divide(X_55,X_20))) != divide(X_55,X_20)
| inverse(multiply(inverse(X_55),X_20)) = divide(X_55,X_20) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_55),X_20)),inverse(inverse(divide(X_55,X_20)))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
inverse(multiply(inverse(X_55),X_20)) = divide(X_55,X_20),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_55,X_20))),divide(X_55,X_20)) )],[refute_0_292,refute_0_299]) ).
cnf(refute_0_301,plain,
( inverse(multiply(inverse(X_55),X_20)) != multiply(inverse(X_20),X_55)
| inverse(multiply(inverse(X_55),X_20)) != divide(X_55,X_20)
| divide(X_55,X_20) = multiply(inverse(X_20),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_55),X_20)),multiply(inverse(X_20),X_55)) ),[0],$fot(divide(X_55,X_20))]]) ).
cnf(refute_0_302,plain,
( inverse(multiply(inverse(X_55),X_20)) != multiply(inverse(X_20),X_55)
| divide(X_55,X_20) = multiply(inverse(X_20),X_55) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_55),X_20)),divide(X_55,X_20)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(inverse(X_20),X_55) = inverse(divide(X_20,X_55)),
inference(subst,[],[refute_0_60:[bind(Y,$fot(X_20)),bind(X_29,$fot(X_55))]]) ).
cnf(refute_0_304,plain,
( multiply(inverse(X_20),X_55) != inverse(divide(X_20,X_55))
| divide(X_55,X_20) != multiply(inverse(X_20),X_55)
| divide(X_55,X_20) = inverse(divide(X_20,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_55,X_20),multiply(inverse(X_20),X_55)) ),[1],$fot(inverse(divide(X_20,X_55)))]]) ).
cnf(refute_0_305,plain,
( divide(X_55,X_20) != multiply(inverse(X_20),X_55)
| divide(X_55,X_20) = inverse(divide(X_20,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_20),X_55),inverse(divide(X_20,X_55))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
( inverse(multiply(inverse(X_55),X_20)) != multiply(inverse(X_20),X_55)
| divide(X_55,X_20) = inverse(divide(X_20,X_55)) ),
inference(resolve,[$cnf( $equal(divide(X_55,X_20),multiply(inverse(X_20),X_55)) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
divide(X_55,X_20) = inverse(divide(X_20,X_55)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_55),X_20)),multiply(inverse(X_20),X_55)) )],[refute_0_280,refute_0_306]) ).
cnf(refute_0_308,plain,
( divide(X_55,X_20) != inverse(divide(X_20,X_55))
| inverse(divide(X_20,X_55)) = divide(X_55,X_20) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_55,X_20))),bind(Y0,$fot(inverse(divide(X_20,X_55))))]]) ).
cnf(refute_0_309,plain,
inverse(divide(X_20,X_55)) = divide(X_55,X_20),
inference(resolve,[$cnf( $equal(divide(X_55,X_20),inverse(divide(X_20,X_55))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
inverse(divide(divide(divide(Y,Y),X_18),X_35)) = divide(X_35,divide(divide(Y,Y),X_18)),
inference(subst,[],[refute_0_309:[bind(X_20,$fot(divide(divide(Y,Y),X_18))),bind(X_55,$fot(X_35))]]) ).
cnf(refute_0_311,plain,
( divide(X_35,divide(divide(Y,Y),X_18)) != multiply(X_35,X_18)
| inverse(divide(divide(divide(Y,Y),X_18),X_35)) != divide(X_35,divide(divide(Y,Y),X_18))
| inverse(divide(divide(divide(Y,Y),X_18),X_35)) = multiply(X_35,X_18) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(inverse(divide(divide(divide(Y,Y),X_18),X_35)))),bind(Y0,$fot(divide(X_35,divide(divide(Y,Y),X_18)))),bind(Z0,$fot(multiply(X_35,X_18)))]]) ).
cnf(refute_0_312,plain,
( divide(X_35,divide(divide(Y,Y),X_18)) != multiply(X_35,X_18)
| inverse(divide(divide(divide(Y,Y),X_18),X_35)) = multiply(X_35,X_18) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(Y,Y),X_18),X_35)),divide(X_35,divide(divide(Y,Y),X_18))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(divide(divide(divide(Y,Y),X_18),X_35)) = multiply(X_35,X_18),
inference(resolve,[$cnf( $equal(divide(X_35,divide(divide(Y,Y),X_18)),multiply(X_35,X_18)) )],[refute_0_254,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(X_18,X_35) != inverse(divide(divide(divide(Y,Y),X_18),X_35))
| inverse(divide(divide(divide(Y,Y),X_18),X_35)) != multiply(X_35,X_18)
| multiply(X_18,X_35) = multiply(X_35,X_18) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_18,X_35),multiply(X_35,X_18)) ),[0],$fot(inverse(divide(divide(divide(Y,Y),X_18),X_35)))]]) ).
cnf(refute_0_315,plain,
( multiply(X_18,X_35) != inverse(divide(divide(divide(Y,Y),X_18),X_35))
| multiply(X_18,X_35) = multiply(X_35,X_18) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(Y,Y),X_18),X_35)),multiply(X_35,X_18)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(X_18,X_35) = multiply(X_35,X_18),
inference(resolve,[$cnf( $equal(multiply(X_18,X_35),inverse(divide(divide(divide(Y,Y),X_18),X_35))) )],[refute_0_238,refute_0_315]) ).
cnf(refute_0_317,plain,
( multiply(X_18,X_35) != multiply(X_35,X_18)
| multiply(X_35,X_18) = multiply(X_18,X_35) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_18,X_35))),bind(Y0,$fot(multiply(X_35,X_18)))]]) ).
cnf(refute_0_318,plain,
multiply(X_35,X_18) = multiply(X_18,X_35),
inference(resolve,[$cnf( $equal(multiply(X_18,X_35),multiply(X_35,X_18)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(divide(X_45,divide(X_47,X_55)),X_47) = multiply(X_47,divide(X_45,divide(X_47,X_55))),
inference(subst,[],[refute_0_318:[bind(X_18,$fot(X_47)),bind(X_35,$fot(divide(X_45,divide(X_47,X_55))))]]) ).
cnf(refute_0_320,plain,
( multiply(X_47,divide(X_45,divide(X_47,X_55))) != multiply(X_55,X_45)
| multiply(divide(X_45,divide(X_47,X_55)),X_47) != multiply(X_47,divide(X_45,divide(X_47,X_55)))
| multiply(divide(X_45,divide(X_47,X_55)),X_47) = multiply(X_55,X_45) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(divide(X_45,divide(X_47,X_55)),X_47))),bind(Y0,$fot(multiply(X_47,divide(X_45,divide(X_47,X_55))))),bind(Z0,$fot(multiply(X_55,X_45)))]]) ).
cnf(refute_0_321,plain,
( multiply(X_47,divide(X_45,divide(X_47,X_55))) != multiply(X_55,X_45)
| multiply(divide(X_45,divide(X_47,X_55)),X_47) = multiply(X_55,X_45) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,divide(X_47,X_55)),X_47),multiply(X_47,divide(X_45,divide(X_47,X_55)))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
multiply(divide(X_45,divide(X_47,X_55)),X_47) = multiply(X_55,X_45),
inference(resolve,[$cnf( $equal(multiply(X_47,divide(X_45,divide(X_47,X_55))),multiply(X_55,X_45)) )],[refute_0_234,refute_0_321]) ).
cnf(refute_0_323,plain,
divide(multiply(X_45,X_47),divide(X_47,X_55)) = multiply(divide(X_45,divide(X_47,X_55)),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(X_45)),bind(Z,$fot(divide(X_47,X_55))),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_324,plain,
( multiply(divide(X_45,divide(X_47,X_55)),X_47) != multiply(X_55,X_45)
| divide(multiply(X_45,X_47),divide(X_47,X_55)) != multiply(divide(X_45,divide(X_47,X_55)),X_47)
| divide(multiply(X_45,X_47),divide(X_47,X_55)) = multiply(X_55,X_45) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(multiply(X_45,X_47),divide(X_47,X_55)))),bind(Y0,$fot(multiply(divide(X_45,divide(X_47,X_55)),X_47))),bind(Z0,$fot(multiply(X_55,X_45)))]]) ).
cnf(refute_0_325,plain,
( multiply(divide(X_45,divide(X_47,X_55)),X_47) != multiply(X_55,X_45)
| divide(multiply(X_45,X_47),divide(X_47,X_55)) = multiply(X_55,X_45) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_47),divide(X_47,X_55)),multiply(divide(X_45,divide(X_47,X_55)),X_47)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
divide(multiply(X_45,X_47),divide(X_47,X_55)) = multiply(X_55,X_45),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,divide(X_47,X_55)),X_47),multiply(X_55,X_45)) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) = divide(multiply(X_45,X_47),divide(X_47,X_55)),
inference(subst,[],[refute_0_309:[bind(X_20,$fot(divide(X_47,X_55))),bind(X_55,$fot(multiply(X_45,X_47)))]]) ).
cnf(refute_0_328,plain,
( divide(multiply(X_45,X_47),divide(X_47,X_55)) != multiply(X_55,X_45)
| inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) != divide(multiply(X_45,X_47),divide(X_47,X_55))
| inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) = multiply(X_55,X_45) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))))),bind(Y0,$fot(divide(multiply(X_45,X_47),divide(X_47,X_55)))),bind(Z0,$fot(multiply(X_55,X_45)))]]) ).
cnf(refute_0_329,plain,
( divide(multiply(X_45,X_47),divide(X_47,X_55)) != multiply(X_55,X_45)
| inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) = multiply(X_55,X_45) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))),divide(multiply(X_45,X_47),divide(X_47,X_55))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) = multiply(X_55,X_45),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_47),divide(X_47,X_55)),multiply(X_55,X_45)) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
divide(multiply(inverse(Y),X_47),X_46) = multiply(divide(inverse(Y),X_46),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(inverse(Y))),bind(Z,$fot(X_46)),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_332,plain,
multiply(inverse(Y),X_47) = inverse(divide(Y,X_47)),
inference(subst,[],[refute_0_60:[bind(X_29,$fot(X_47))]]) ).
cnf(refute_0_333,plain,
( multiply(inverse(Y),X_47) != inverse(divide(Y,X_47))
| divide(multiply(inverse(Y),X_47),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| divide(inverse(divide(Y,X_47)),X_46) = multiply(divide(inverse(Y),X_46),X_47) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),X_47),X_46),multiply(divide(inverse(Y),X_46),X_47)) ),[0,0],$fot(inverse(divide(Y,X_47)))]]) ).
cnf(refute_0_334,plain,
( divide(multiply(inverse(Y),X_47),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| divide(inverse(divide(Y,X_47)),X_46) = multiply(divide(inverse(Y),X_46),X_47) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),X_47),inverse(divide(Y,X_47))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
divide(inverse(divide(Y,X_47)),X_46) = multiply(divide(inverse(Y),X_46),X_47),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),X_47),X_46),multiply(divide(inverse(Y),X_46),X_47)) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
inverse(divide(Y,X_47)) = divide(X_47,Y),
inference(subst,[],[refute_0_309:[bind(X_20,$fot(Y)),bind(X_55,$fot(X_47))]]) ).
cnf(refute_0_337,plain,
divide(inverse(divide(Y,X_47)),X_46) = divide(inverse(divide(Y,X_47)),X_46),
introduced(tautology,[refl,[$fot(divide(inverse(divide(Y,X_47)),X_46))]]) ).
cnf(refute_0_338,plain,
( divide(inverse(divide(Y,X_47)),X_46) != divide(inverse(divide(Y,X_47)),X_46)
| inverse(divide(Y,X_47)) != divide(X_47,Y)
| divide(inverse(divide(Y,X_47)),X_46) = divide(divide(X_47,Y),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(Y,X_47)),X_46),divide(inverse(divide(Y,X_47)),X_46)) ),[1,0],$fot(divide(X_47,Y))]]) ).
cnf(refute_0_339,plain,
( inverse(divide(Y,X_47)) != divide(X_47,Y)
| divide(inverse(divide(Y,X_47)),X_46) = divide(divide(X_47,Y),X_46) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_47)),X_46),divide(inverse(divide(Y,X_47)),X_46)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
divide(inverse(divide(Y,X_47)),X_46) = divide(divide(X_47,Y),X_46),
inference(resolve,[$cnf( $equal(inverse(divide(Y,X_47)),divide(X_47,Y)) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
( divide(inverse(divide(Y,X_47)),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| divide(inverse(divide(Y,X_47)),X_46) != divide(divide(X_47,Y),X_46)
| divide(divide(X_47,Y),X_46) = multiply(divide(inverse(Y),X_46),X_47) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(Y,X_47)),X_46),multiply(divide(inverse(Y),X_46),X_47)) ),[0],$fot(divide(divide(X_47,Y),X_46))]]) ).
cnf(refute_0_342,plain,
( divide(inverse(divide(Y,X_47)),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| divide(divide(X_47,Y),X_46) = multiply(divide(inverse(Y),X_46),X_47) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_47)),X_46),divide(divide(X_47,Y),X_46)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
divide(divide(X_47,Y),X_46) = multiply(divide(inverse(Y),X_46),X_47),
inference(resolve,[$cnf( $equal(divide(inverse(divide(Y,X_47)),X_46),multiply(divide(inverse(Y),X_46),X_47)) )],[refute_0_335,refute_0_342]) ).
cnf(refute_0_344,plain,
( divide(divide(X_47,Y),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| multiply(divide(inverse(Y),X_46),X_47) = divide(divide(X_47,Y),X_46) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(divide(X_47,Y),X_46))),bind(Y0,$fot(multiply(divide(inverse(Y),X_46),X_47)))]]) ).
cnf(refute_0_345,plain,
multiply(divide(inverse(Y),X_46),X_47) = divide(divide(X_47,Y),X_46),
inference(resolve,[$cnf( $equal(divide(divide(X_47,Y),X_46),multiply(divide(inverse(Y),X_46),X_47)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47) = divide(divide(X_47,X_55),multiply(X_45,X_47)),
inference(subst,[],[refute_0_345:[bind(Y,$fot(X_55)),bind(X_46,$fot(multiply(X_45,X_47)))]]) ).
cnf(refute_0_347,plain,
inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)))]]) ).
cnf(refute_0_348,plain,
( multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47) != divide(divide(X_47,X_55),multiply(X_45,X_47))
| inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) != inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47))
| inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)),inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47))) ),[1,0],$fot(divide(divide(X_47,X_55),multiply(X_45,X_47)))]]) ).
cnf(refute_0_349,plain,
( multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47) != divide(divide(X_47,X_55),multiply(X_45,X_47))
| inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)),inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47),divide(divide(X_47,X_55),multiply(X_45,X_47))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) != inverse(divide(divide(X_47,X_55),multiply(X_45,X_47)))
| inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) != multiply(X_55,X_45)
| inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = multiply(X_55,X_45) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)))),bind(Y0,$fot(inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))))),bind(Z0,$fot(multiply(X_55,X_45)))]]) ).
cnf(refute_0_352,plain,
( inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))) != multiply(X_55,X_45)
| inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = multiply(X_55,X_45) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)),inverse(divide(divide(X_47,X_55),multiply(X_45,X_47)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) = multiply(X_55,X_45),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_47,X_55),multiply(X_45,X_47))),multiply(X_55,X_45)) )],[refute_0_330,refute_0_352]) ).
cnf(refute_0_354,plain,
( multiply(X_45,X_55) != inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47))
| inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)) != multiply(X_55,X_45)
| multiply(X_45,X_55) = multiply(X_55,X_45) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_45,X_55),multiply(X_55,X_45)) ),[0],$fot(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)))]]) ).
cnf(refute_0_355,plain,
( multiply(X_45,X_55) != inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47))
| multiply(X_45,X_55) = multiply(X_55,X_45) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47)),multiply(X_55,X_45)) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(X_45,X_55) = multiply(X_55,X_45),
inference(resolve,[$cnf( $equal(multiply(X_45,X_55),inverse(multiply(divide(inverse(X_55),multiply(X_45,X_47)),X_47))) )],[refute_0_233,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiply(X_45,X_55) != multiply(X_55,X_45)
| multiply(X_55,X_45) = multiply(X_45,X_55) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_45,X_55))),bind(Y0,$fot(multiply(X_55,X_45)))]]) ).
cnf(refute_0_358,plain,
multiply(X_55,X_45) = multiply(X_45,X_55),
inference(resolve,[$cnf( $equal(multiply(X_45,X_55),multiply(X_55,X_45)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_358:[bind(X_45,$fot(a4)),bind(X_55,$fot(b4))]]) ).
cnf(refute_0_360,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_361,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_361,refute_0_166]) ).
cnf(refute_0_363,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_358:[bind(X_45,$fot(c3)),bind(X_55,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_364,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_365,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_365,refute_0_362]) ).
cnf(refute_0_367,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_368,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_367,refute_0_366]) ).
cnf(refute_0_369,plain,
multiply(multiply(X_45,X_47),Y) = divide(multiply(X_45,X_47),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(multiply(X_45,X_47)))]]) ).
cnf(refute_0_370,plain,
divide(multiply(X_45,X_47),inverse(Y)) = multiply(divide(X_45,inverse(Y)),X_47),
inference(subst,[],[refute_0_143:[bind(X,$fot(X_45)),bind(Z,$fot(inverse(Y))),bind(X_3,$fot(X_47))]]) ).
cnf(refute_0_371,plain,
( multiply(multiply(X_45,X_47),Y) != divide(multiply(X_45,X_47),inverse(Y))
| divide(multiply(X_45,X_47),inverse(Y)) != multiply(divide(X_45,inverse(Y)),X_47)
| multiply(multiply(X_45,X_47),Y) = multiply(divide(X_45,inverse(Y)),X_47) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_45,X_47),Y),multiply(divide(X_45,inverse(Y)),X_47)) ),[0],$fot(divide(multiply(X_45,X_47),inverse(Y)))]]) ).
cnf(refute_0_372,plain,
( multiply(multiply(X_45,X_47),Y) != divide(multiply(X_45,X_47),inverse(Y))
| multiply(multiply(X_45,X_47),Y) = multiply(divide(X_45,inverse(Y)),X_47) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_47),inverse(Y)),multiply(divide(X_45,inverse(Y)),X_47)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(multiply(X_45,X_47),Y) = multiply(divide(X_45,inverse(Y)),X_47),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,X_47),Y),divide(multiply(X_45,X_47),inverse(Y))) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
divide(X_45,inverse(Y)) = multiply(X_45,Y),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_45))]]) ).
cnf(refute_0_375,plain,
multiply(divide(X_45,inverse(Y)),X_47) = multiply(divide(X_45,inverse(Y)),X_47),
introduced(tautology,[refl,[$fot(multiply(divide(X_45,inverse(Y)),X_47))]]) ).
cnf(refute_0_376,plain,
( multiply(divide(X_45,inverse(Y)),X_47) != multiply(divide(X_45,inverse(Y)),X_47)
| divide(X_45,inverse(Y)) != multiply(X_45,Y)
| multiply(divide(X_45,inverse(Y)),X_47) = multiply(multiply(X_45,Y),X_47) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_45,inverse(Y)),X_47),multiply(divide(X_45,inverse(Y)),X_47)) ),[1,0],$fot(multiply(X_45,Y))]]) ).
cnf(refute_0_377,plain,
( divide(X_45,inverse(Y)) != multiply(X_45,Y)
| multiply(divide(X_45,inverse(Y)),X_47) = multiply(multiply(X_45,Y),X_47) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,inverse(Y)),X_47),multiply(divide(X_45,inverse(Y)),X_47)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(divide(X_45,inverse(Y)),X_47) = multiply(multiply(X_45,Y),X_47),
inference(resolve,[$cnf( $equal(divide(X_45,inverse(Y)),multiply(X_45,Y)) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( multiply(multiply(X_45,X_47),Y) != multiply(divide(X_45,inverse(Y)),X_47)
| multiply(divide(X_45,inverse(Y)),X_47) != multiply(multiply(X_45,Y),X_47)
| multiply(multiply(X_45,X_47),Y) = multiply(multiply(X_45,Y),X_47) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_45,X_47),Y),multiply(multiply(X_45,Y),X_47)) ),[0],$fot(multiply(divide(X_45,inverse(Y)),X_47))]]) ).
cnf(refute_0_380,plain,
( multiply(multiply(X_45,X_47),Y) != multiply(divide(X_45,inverse(Y)),X_47)
| multiply(multiply(X_45,X_47),Y) = multiply(multiply(X_45,Y),X_47) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_45,inverse(Y)),X_47),multiply(multiply(X_45,Y),X_47)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(multiply(X_45,X_47),Y) = multiply(multiply(X_45,Y),X_47),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,X_47),Y),multiply(divide(X_45,inverse(Y)),X_47)) )],[refute_0_373,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(multiply(X_86,X_87),X_85) = multiply(multiply(X_86,X_85),X_87),
inference(subst,[],[refute_0_381:[bind(Y,$fot(X_85)),bind(X_45,$fot(X_86)),bind(X_47,$fot(X_87))]]) ).
cnf(refute_0_383,plain,
divide(inverse(Y),X_59) = inverse(divide(X_59,inverse(Y))),
inference(subst,[],[refute_0_307:[bind(X_20,$fot(X_59)),bind(X_55,$fot(inverse(Y)))]]) ).
cnf(refute_0_384,plain,
multiply(X_59,Y) = divide(X_59,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_385,plain,
( multiply(X_59,Y) != divide(X_59,inverse(Y))
| divide(X_59,inverse(Y)) = multiply(X_59,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_59,Y))),bind(Y0,$fot(divide(X_59,inverse(Y))))]]) ).
cnf(refute_0_386,plain,
divide(X_59,inverse(Y)) = multiply(X_59,Y),
inference(resolve,[$cnf( $equal(multiply(X_59,Y),divide(X_59,inverse(Y))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( divide(X_59,inverse(Y)) != multiply(X_59,Y)
| divide(inverse(Y),X_59) != inverse(divide(X_59,inverse(Y)))
| divide(inverse(Y),X_59) = inverse(multiply(X_59,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(Y),X_59),inverse(divide(X_59,inverse(Y)))) ),[1,0],$fot(multiply(X_59,Y))]]) ).
cnf(refute_0_388,plain,
( divide(inverse(Y),X_59) != inverse(divide(X_59,inverse(Y)))
| divide(inverse(Y),X_59) = inverse(multiply(X_59,Y)) ),
inference(resolve,[$cnf( $equal(divide(X_59,inverse(Y)),multiply(X_59,Y)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
divide(inverse(Y),X_59) = inverse(multiply(X_59,Y)),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_59),inverse(divide(X_59,inverse(Y)))) )],[refute_0_383,refute_0_388]) ).
cnf(refute_0_390,plain,
divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = inverse(multiply(divide(X_75,X_76),divide(X_74,X_75))),
inference(subst,[],[refute_0_389:[bind(Y,$fot(divide(X_74,X_75))),bind(X_59,$fot(divide(X_75,X_76)))]]) ).
cnf(refute_0_391,plain,
divide(multiply(X_45,divide(X_13,X_45)),X_46) = multiply(divide(X_45,X_46),divide(X_13,X_45)),
inference(subst,[],[refute_0_143:[bind(X,$fot(X_45)),bind(Z,$fot(X_46)),bind(X_3,$fot(divide(X_13,X_45)))]]) ).
cnf(refute_0_392,plain,
multiply(X_45,divide(X_13,X_45)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(X_45))]]) ).
cnf(refute_0_393,plain,
( multiply(X_45,divide(X_13,X_45)) != X_13
| divide(multiply(X_45,divide(X_13,X_45)),X_46) != multiply(divide(X_45,X_46),divide(X_13,X_45))
| divide(X_13,X_46) = multiply(divide(X_45,X_46),divide(X_13,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_45,divide(X_13,X_45)),X_46),multiply(divide(X_45,X_46),divide(X_13,X_45))) ),[0,0],$fot(X_13)]]) ).
cnf(refute_0_394,plain,
( divide(multiply(X_45,divide(X_13,X_45)),X_46) != multiply(divide(X_45,X_46),divide(X_13,X_45))
| divide(X_13,X_46) = multiply(divide(X_45,X_46),divide(X_13,X_45)) ),
inference(resolve,[$cnf( $equal(multiply(X_45,divide(X_13,X_45)),X_13) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
divide(X_13,X_46) = multiply(divide(X_45,X_46),divide(X_13,X_45)),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,divide(X_13,X_45)),X_46),multiply(divide(X_45,X_46),divide(X_13,X_45))) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
divide(X_74,X_76) = multiply(divide(X_75,X_76),divide(X_74,X_75)),
inference(subst,[],[refute_0_395:[bind(X_13,$fot(X_74)),bind(X_45,$fot(X_75)),bind(X_46,$fot(X_76))]]) ).
cnf(refute_0_397,plain,
( divide(X_74,X_76) != multiply(divide(X_75,X_76),divide(X_74,X_75))
| multiply(divide(X_75,X_76),divide(X_74,X_75)) = divide(X_74,X_76) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_74,X_76))),bind(Y0,$fot(multiply(divide(X_75,X_76),divide(X_74,X_75))))]]) ).
cnf(refute_0_398,plain,
multiply(divide(X_75,X_76),divide(X_74,X_75)) = divide(X_74,X_76),
inference(resolve,[$cnf( $equal(divide(X_74,X_76),multiply(divide(X_75,X_76),divide(X_74,X_75))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
( multiply(divide(X_75,X_76),divide(X_74,X_75)) != divide(X_74,X_76)
| divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != inverse(multiply(divide(X_75,X_76),divide(X_74,X_75)))
| divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = inverse(divide(X_74,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)),inverse(multiply(divide(X_75,X_76),divide(X_74,X_75)))) ),[1,0],$fot(divide(X_74,X_76))]]) ).
cnf(refute_0_400,plain,
( divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != inverse(multiply(divide(X_75,X_76),divide(X_74,X_75)))
| divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = inverse(divide(X_74,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_75,X_76),divide(X_74,X_75)),divide(X_74,X_76)) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = inverse(divide(X_74,X_76)),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)),inverse(multiply(divide(X_75,X_76),divide(X_74,X_75)))) )],[refute_0_390,refute_0_400]) ).
cnf(refute_0_402,plain,
divide(inverse(divide(X_20,X_55)),X_64) = inverse(multiply(X_64,divide(X_20,X_55))),
inference(subst,[],[refute_0_389:[bind(Y,$fot(divide(X_20,X_55))),bind(X_59,$fot(X_64))]]) ).
cnf(refute_0_403,plain,
( divide(inverse(divide(X_20,X_55)),X_64) != inverse(multiply(X_64,divide(X_20,X_55)))
| inverse(divide(X_20,X_55)) != divide(X_55,X_20)
| divide(divide(X_55,X_20),X_64) = inverse(multiply(X_64,divide(X_20,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_20,X_55)),X_64),inverse(multiply(X_64,divide(X_20,X_55)))) ),[0,0],$fot(divide(X_55,X_20))]]) ).
cnf(refute_0_404,plain,
( divide(inverse(divide(X_20,X_55)),X_64) != inverse(multiply(X_64,divide(X_20,X_55)))
| divide(divide(X_55,X_20),X_64) = inverse(multiply(X_64,divide(X_20,X_55))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_20,X_55)),divide(X_55,X_20)) )],[refute_0_309,refute_0_403]) ).
cnf(refute_0_405,plain,
divide(divide(X_55,X_20),X_64) = inverse(multiply(X_64,divide(X_20,X_55))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_20,X_55)),X_64),inverse(multiply(X_64,divide(X_20,X_55)))) )],[refute_0_402,refute_0_404]) ).
cnf(refute_0_406,plain,
inverse(divide(Y,X_29)) = divide(X_29,Y),
inference(subst,[],[refute_0_309:[bind(X_20,$fot(Y)),bind(X_55,$fot(X_29))]]) ).
cnf(refute_0_407,plain,
( multiply(inverse(Y),X_29) != inverse(divide(Y,X_29))
| inverse(divide(Y,X_29)) != divide(X_29,Y)
| multiply(inverse(Y),X_29) = divide(X_29,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),X_29),divide(X_29,Y)) ),[0],$fot(inverse(divide(Y,X_29)))]]) ).
cnf(refute_0_408,plain,
( multiply(inverse(Y),X_29) != inverse(divide(Y,X_29))
| multiply(inverse(Y),X_29) = divide(X_29,Y) ),
inference(resolve,[$cnf( $equal(inverse(divide(Y,X_29)),divide(X_29,Y)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(inverse(Y),X_29) = divide(X_29,Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),X_29),inverse(divide(Y,X_29))) )],[refute_0_60,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(inverse(multiply(X_46,Y)),X_47) = divide(X_47,multiply(X_46,Y)),
inference(subst,[],[refute_0_409:[bind(Y,$fot(multiply(X_46,Y))),bind(X_29,$fot(X_47))]]) ).
cnf(refute_0_411,plain,
divide(inverse(Y),X_46) = inverse(multiply(X_46,Y)),
inference(subst,[],[refute_0_389:[bind(X_59,$fot(X_46))]]) ).
cnf(refute_0_412,plain,
multiply(divide(inverse(Y),X_46),X_47) = multiply(divide(inverse(Y),X_46),X_47),
introduced(tautology,[refl,[$fot(multiply(divide(inverse(Y),X_46),X_47))]]) ).
cnf(refute_0_413,plain,
( multiply(divide(inverse(Y),X_46),X_47) != multiply(divide(inverse(Y),X_46),X_47)
| divide(inverse(Y),X_46) != inverse(multiply(X_46,Y))
| multiply(divide(inverse(Y),X_46),X_47) = multiply(inverse(multiply(X_46,Y)),X_47) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(Y),X_46),X_47),multiply(divide(inverse(Y),X_46),X_47)) ),[1,0],$fot(inverse(multiply(X_46,Y)))]]) ).
cnf(refute_0_414,plain,
( divide(inverse(Y),X_46) != inverse(multiply(X_46,Y))
| multiply(divide(inverse(Y),X_46),X_47) = multiply(inverse(multiply(X_46,Y)),X_47) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_46),X_47),multiply(divide(inverse(Y),X_46),X_47)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(divide(inverse(Y),X_46),X_47) = multiply(inverse(multiply(X_46,Y)),X_47),
inference(resolve,[$cnf( $equal(divide(inverse(Y),X_46),inverse(multiply(X_46,Y))) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
( multiply(divide(inverse(Y),X_46),X_47) != multiply(inverse(multiply(X_46,Y)),X_47)
| multiply(inverse(multiply(X_46,Y)),X_47) != divide(X_47,multiply(X_46,Y))
| multiply(divide(inverse(Y),X_46),X_47) = divide(X_47,multiply(X_46,Y)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(multiply(divide(inverse(Y),X_46),X_47))),bind(Y0,$fot(multiply(inverse(multiply(X_46,Y)),X_47))),bind(Z0,$fot(divide(X_47,multiply(X_46,Y))))]]) ).
cnf(refute_0_417,plain,
( multiply(inverse(multiply(X_46,Y)),X_47) != divide(X_47,multiply(X_46,Y))
| multiply(divide(inverse(Y),X_46),X_47) = divide(X_47,multiply(X_46,Y)) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_46),X_47),multiply(inverse(multiply(X_46,Y)),X_47)) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
multiply(divide(inverse(Y),X_46),X_47) = divide(X_47,multiply(X_46,Y)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_46,Y)),X_47),divide(X_47,multiply(X_46,Y))) )],[refute_0_410,refute_0_417]) ).
cnf(refute_0_419,plain,
( multiply(divide(inverse(Y),X_46),X_47) != divide(X_47,multiply(X_46,Y))
| divide(divide(X_47,Y),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| divide(divide(X_47,Y),X_46) = divide(X_47,multiply(X_46,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_47,Y),X_46),multiply(divide(inverse(Y),X_46),X_47)) ),[1],$fot(divide(X_47,multiply(X_46,Y)))]]) ).
cnf(refute_0_420,plain,
( divide(divide(X_47,Y),X_46) != multiply(divide(inverse(Y),X_46),X_47)
| divide(divide(X_47,Y),X_46) = divide(X_47,multiply(X_46,Y)) ),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(Y),X_46),X_47),divide(X_47,multiply(X_46,Y))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
divide(divide(X_47,Y),X_46) = divide(X_47,multiply(X_46,Y)),
inference(resolve,[$cnf( $equal(divide(divide(X_47,Y),X_46),multiply(divide(inverse(Y),X_46),X_47)) )],[refute_0_343,refute_0_420]) ).
cnf(refute_0_422,plain,
divide(divide(X_55,X_20),X_64) = divide(X_55,multiply(X_64,X_20)),
inference(subst,[],[refute_0_421:[bind(Y,$fot(X_20)),bind(X_46,$fot(X_64)),bind(X_47,$fot(X_55))]]) ).
cnf(refute_0_423,plain,
( divide(divide(X_55,X_20),X_64) != divide(X_55,multiply(X_64,X_20))
| divide(divide(X_55,X_20),X_64) != inverse(multiply(X_64,divide(X_20,X_55)))
| divide(X_55,multiply(X_64,X_20)) = inverse(multiply(X_64,divide(X_20,X_55))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_55,X_20),X_64),inverse(multiply(X_64,divide(X_20,X_55)))) ),[0],$fot(divide(X_55,multiply(X_64,X_20)))]]) ).
cnf(refute_0_424,plain,
( divide(divide(X_55,X_20),X_64) != inverse(multiply(X_64,divide(X_20,X_55)))
| divide(X_55,multiply(X_64,X_20)) = inverse(multiply(X_64,divide(X_20,X_55))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_55,X_20),X_64),divide(X_55,multiply(X_64,X_20))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
divide(X_55,multiply(X_64,X_20)) = inverse(multiply(X_64,divide(X_20,X_55))),
inference(resolve,[$cnf( $equal(divide(divide(X_55,X_20),X_64),inverse(multiply(X_64,divide(X_20,X_55)))) )],[refute_0_405,refute_0_424]) ).
cnf(refute_0_426,plain,
( divide(X_55,multiply(X_64,X_20)) != inverse(multiply(X_64,divide(X_20,X_55)))
| inverse(multiply(X_64,divide(X_20,X_55))) = divide(X_55,multiply(X_64,X_20)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_55,multiply(X_64,X_20)))),bind(Y0,$fot(inverse(multiply(X_64,divide(X_20,X_55)))))]]) ).
cnf(refute_0_427,plain,
inverse(multiply(X_64,divide(X_20,X_55))) = divide(X_55,multiply(X_64,X_20)),
inference(resolve,[$cnf( $equal(divide(X_55,multiply(X_64,X_20)),inverse(multiply(X_64,divide(X_20,X_55)))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
inverse(multiply(divide(X_75,X_76),divide(X_74,X_75))) = divide(X_75,multiply(divide(X_75,X_76),X_74)),
inference(subst,[],[refute_0_427:[bind(X_20,$fot(X_74)),bind(X_55,$fot(X_75)),bind(X_64,$fot(divide(X_75,X_76)))]]) ).
cnf(refute_0_429,plain,
( divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != inverse(multiply(divide(X_75,X_76),divide(X_74,X_75)))
| inverse(multiply(divide(X_75,X_76),divide(X_74,X_75))) != divide(X_75,multiply(divide(X_75,X_76),X_74))
| divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = divide(X_75,multiply(divide(X_75,X_76),X_74)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)))),bind(Y0,$fot(inverse(multiply(divide(X_75,X_76),divide(X_74,X_75))))),bind(Z0,$fot(divide(X_75,multiply(divide(X_75,X_76),X_74))))]]) ).
cnf(refute_0_430,plain,
( inverse(multiply(divide(X_75,X_76),divide(X_74,X_75))) != divide(X_75,multiply(divide(X_75,X_76),X_74))
| divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = divide(X_75,multiply(divide(X_75,X_76),X_74)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)),inverse(multiply(divide(X_75,X_76),divide(X_74,X_75)))) )],[refute_0_390,refute_0_429]) ).
cnf(refute_0_431,plain,
divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) = divide(X_75,multiply(divide(X_75,X_76),X_74)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_75,X_76),divide(X_74,X_75))),divide(X_75,multiply(divide(X_75,X_76),X_74))) )],[refute_0_428,refute_0_430]) ).
cnf(refute_0_432,plain,
( divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != divide(X_75,multiply(divide(X_75,X_76),X_74))
| divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != inverse(divide(X_74,X_76))
| divide(X_75,multiply(divide(X_75,X_76),X_74)) = inverse(divide(X_74,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)),inverse(divide(X_74,X_76))) ),[0],$fot(divide(X_75,multiply(divide(X_75,X_76),X_74)))]]) ).
cnf(refute_0_433,plain,
( divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != inverse(divide(X_74,X_76))
| divide(X_75,multiply(divide(X_75,X_76),X_74)) = inverse(divide(X_74,X_76)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)),divide(X_75,multiply(divide(X_75,X_76),X_74))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
inverse(divide(X_74,X_76)) = divide(X_76,X_74),
inference(subst,[],[refute_0_309:[bind(X_20,$fot(X_74)),bind(X_55,$fot(X_76))]]) ).
cnf(refute_0_435,plain,
( divide(X_75,multiply(divide(X_75,X_76),X_74)) != inverse(divide(X_74,X_76))
| inverse(divide(X_74,X_76)) != divide(X_76,X_74)
| divide(X_75,multiply(divide(X_75,X_76),X_74)) = divide(X_76,X_74) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_75,multiply(divide(X_75,X_76),X_74)),divide(X_76,X_74)) ),[0],$fot(inverse(divide(X_74,X_76)))]]) ).
cnf(refute_0_436,plain,
( divide(X_75,multiply(divide(X_75,X_76),X_74)) != inverse(divide(X_74,X_76))
| divide(X_75,multiply(divide(X_75,X_76),X_74)) = divide(X_76,X_74) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_74,X_76)),divide(X_76,X_74)) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
( divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)) != inverse(divide(X_74,X_76))
| divide(X_75,multiply(divide(X_75,X_76),X_74)) = divide(X_76,X_74) ),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(divide(X_75,X_76),X_74)),inverse(divide(X_74,X_76))) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
divide(X_75,multiply(divide(X_75,X_76),X_74)) = divide(X_76,X_74),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_74,X_75)),divide(X_75,X_76)),inverse(divide(X_74,X_76))) )],[refute_0_401,refute_0_437]) ).
cnf(refute_0_439,plain,
divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = divide(X_82,inverse(Y)),
inference(subst,[],[refute_0_438:[bind(X_74,$fot(inverse(Y))),bind(X_75,$fot(X_81)),bind(X_76,$fot(X_82))]]) ).
cnf(refute_0_440,plain,
multiply(X_82,Y) = divide(X_82,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_82))]]) ).
cnf(refute_0_441,plain,
( multiply(X_82,Y) != divide(X_82,inverse(Y))
| divide(X_82,inverse(Y)) = multiply(X_82,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_82,Y))),bind(Y0,$fot(divide(X_82,inverse(Y))))]]) ).
cnf(refute_0_442,plain,
divide(X_82,inverse(Y)) = multiply(X_82,Y),
inference(resolve,[$cnf( $equal(multiply(X_82,Y),divide(X_82,inverse(Y))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) != divide(X_82,inverse(Y))
| divide(X_82,inverse(Y)) != multiply(X_82,Y)
| divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(X_82,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))),multiply(X_82,Y)) ),[0],$fot(divide(X_82,inverse(Y)))]]) ).
cnf(refute_0_444,plain,
( divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) != divide(X_82,inverse(Y))
| divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(X_82,Y) ),
inference(resolve,[$cnf( $equal(divide(X_82,inverse(Y)),multiply(X_82,Y)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(X_82,Y),
inference(resolve,[$cnf( $equal(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))),divide(X_82,inverse(Y))) )],[refute_0_439,refute_0_444]) ).
cnf(refute_0_446,plain,
inverse(inverse(Y)) = Y,
inference(subst,[],[refute_0_291:[bind(X_55,$fot(Y))]]) ).
cnf(refute_0_447,plain,
inverse(X_53) = divide(inverse(X_57),multiply(inverse(X_57),X_53)),
inference(subst,[],[refute_0_227:[bind(X_52,$fot(inverse(X_57)))]]) ).
cnf(refute_0_448,plain,
multiply(inverse(X_57),X_53) = divide(X_53,X_57),
inference(subst,[],[refute_0_409:[bind(Y,$fot(X_57)),bind(X_29,$fot(X_53))]]) ).
cnf(refute_0_449,plain,
( multiply(inverse(X_57),X_53) != divide(X_53,X_57)
| inverse(X_53) != divide(inverse(X_57),multiply(inverse(X_57),X_53))
| inverse(X_53) = divide(inverse(X_57),divide(X_53,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_53),divide(inverse(X_57),multiply(inverse(X_57),X_53))) ),[1,1],$fot(divide(X_53,X_57))]]) ).
cnf(refute_0_450,plain,
( inverse(X_53) != divide(inverse(X_57),multiply(inverse(X_57),X_53))
| inverse(X_53) = divide(inverse(X_57),divide(X_53,X_57)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_57),X_53),divide(X_53,X_57)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
inverse(X_53) = divide(inverse(X_57),divide(X_53,X_57)),
inference(resolve,[$cnf( $equal(inverse(X_53),divide(inverse(X_57),multiply(inverse(X_57),X_53))) )],[refute_0_447,refute_0_450]) ).
cnf(refute_0_452,plain,
divide(X_60,multiply(X,X_3)) = inverse(divide(multiply(X,X_3),X_60)),
inference(subst,[],[refute_0_307:[bind(X_20,$fot(multiply(X,X_3))),bind(X_55,$fot(X_60))]]) ).
cnf(refute_0_453,plain,
divide(multiply(X,X_3),X_60) = multiply(divide(X,X_60),X_3),
inference(subst,[],[refute_0_143:[bind(Z,$fot(X_60))]]) ).
cnf(refute_0_454,plain,
( divide(X_60,multiply(X,X_3)) != inverse(divide(multiply(X,X_3),X_60))
| divide(multiply(X,X_3),X_60) != multiply(divide(X,X_60),X_3)
| divide(X_60,multiply(X,X_3)) = inverse(multiply(divide(X,X_60),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_60,multiply(X,X_3)),inverse(divide(multiply(X,X_3),X_60))) ),[1,0],$fot(multiply(divide(X,X_60),X_3))]]) ).
cnf(refute_0_455,plain,
( divide(X_60,multiply(X,X_3)) != inverse(divide(multiply(X,X_3),X_60))
| divide(X_60,multiply(X,X_3)) = inverse(multiply(divide(X,X_60),X_3)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X,X_3),X_60),multiply(divide(X,X_60),X_3)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
divide(X_60,multiply(X,X_3)) = inverse(multiply(divide(X,X_60),X_3)),
inference(resolve,[$cnf( $equal(divide(X_60,multiply(X,X_3)),inverse(divide(multiply(X,X_3),X_60))) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
( divide(X_60,multiply(X,X_3)) != inverse(multiply(divide(X,X_60),X_3))
| inverse(multiply(divide(X,X_60),X_3)) = divide(X_60,multiply(X,X_3)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_60,multiply(X,X_3)))),bind(Y0,$fot(inverse(multiply(divide(X,X_60),X_3))))]]) ).
cnf(refute_0_458,plain,
inverse(multiply(divide(X,X_60),X_3)) = divide(X_60,multiply(X,X_3)),
inference(resolve,[$cnf( $equal(divide(X_60,multiply(X,X_3)),inverse(multiply(divide(X,X_60),X_3))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
inverse(multiply(divide(X_53,X_57),X_57)) = divide(X_57,multiply(X_53,X_57)),
inference(subst,[],[refute_0_458:[bind(X,$fot(X_53)),bind(X_3,$fot(X_57)),bind(X_60,$fot(X_57))]]) ).
cnf(refute_0_460,plain,
divide(inverse(X_57),divide(X_53,X_57)) = inverse(multiply(divide(X_53,X_57),X_57)),
inference(subst,[],[refute_0_389:[bind(Y,$fot(X_57)),bind(X_59,$fot(divide(X_53,X_57)))]]) ).
cnf(refute_0_461,plain,
( divide(inverse(X_57),divide(X_53,X_57)) != inverse(multiply(divide(X_53,X_57),X_57))
| inverse(multiply(divide(X_53,X_57),X_57)) != divide(X_57,multiply(X_53,X_57))
| divide(inverse(X_57),divide(X_53,X_57)) = divide(X_57,multiply(X_53,X_57)) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(inverse(X_57),divide(X_53,X_57)))),bind(Y0,$fot(inverse(multiply(divide(X_53,X_57),X_57)))),bind(Z0,$fot(divide(X_57,multiply(X_53,X_57))))]]) ).
cnf(refute_0_462,plain,
( inverse(multiply(divide(X_53,X_57),X_57)) != divide(X_57,multiply(X_53,X_57))
| divide(inverse(X_57),divide(X_53,X_57)) = divide(X_57,multiply(X_53,X_57)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_57),divide(X_53,X_57)),inverse(multiply(divide(X_53,X_57),X_57))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
divide(inverse(X_57),divide(X_53,X_57)) = divide(X_57,multiply(X_53,X_57)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_53,X_57),X_57)),divide(X_57,multiply(X_53,X_57))) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( divide(inverse(X_57),divide(X_53,X_57)) != divide(X_57,multiply(X_53,X_57))
| inverse(X_53) != divide(inverse(X_57),divide(X_53,X_57))
| inverse(X_53) = divide(X_57,multiply(X_53,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_53),divide(inverse(X_57),divide(X_53,X_57))) ),[1],$fot(divide(X_57,multiply(X_53,X_57)))]]) ).
cnf(refute_0_465,plain,
( inverse(X_53) != divide(inverse(X_57),divide(X_53,X_57))
| inverse(X_53) = divide(X_57,multiply(X_53,X_57)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_57),divide(X_53,X_57)),divide(X_57,multiply(X_53,X_57))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
inverse(X_53) = divide(X_57,multiply(X_53,X_57)),
inference(resolve,[$cnf( $equal(inverse(X_53),divide(inverse(X_57),divide(X_53,X_57))) )],[refute_0_451,refute_0_465]) ).
cnf(refute_0_467,plain,
( inverse(X_53) != divide(X_57,multiply(X_53,X_57))
| divide(X_57,multiply(X_53,X_57)) = inverse(X_53) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(inverse(X_53))),bind(Y0,$fot(divide(X_57,multiply(X_53,X_57))))]]) ).
cnf(refute_0_468,plain,
divide(X_57,multiply(X_53,X_57)) = inverse(X_53),
inference(resolve,[$cnf( $equal(inverse(X_53),divide(X_57,multiply(X_53,X_57))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
divide(X_81,multiply(inverse(Y),X_81)) = inverse(inverse(Y)),
inference(subst,[],[refute_0_468:[bind(X_53,$fot(inverse(Y))),bind(X_57,$fot(X_81))]]) ).
cnf(refute_0_470,plain,
( divide(X_81,multiply(inverse(Y),X_81)) != inverse(inverse(Y))
| inverse(inverse(Y)) != Y
| divide(X_81,multiply(inverse(Y),X_81)) = Y ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(X_81,multiply(inverse(Y),X_81)))),bind(Y0,$fot(inverse(inverse(Y)))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_471,plain,
( inverse(inverse(Y)) != Y
| divide(X_81,multiply(inverse(Y),X_81)) = Y ),
inference(resolve,[$cnf( $equal(divide(X_81,multiply(inverse(Y),X_81)),inverse(inverse(Y))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
divide(X_81,multiply(inverse(Y),X_81)) = Y,
inference(resolve,[$cnf( $equal(inverse(inverse(Y)),Y) )],[refute_0_446,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) = multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82),
introduced(tautology,[refl,[$fot(multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82))]]) ).
cnf(refute_0_474,plain,
( multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) != multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82)
| divide(X_81,multiply(inverse(Y),X_81)) != Y
| multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) = multiply(Y,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82),multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_475,plain,
( divide(X_81,multiply(inverse(Y),X_81)) != Y
| multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) = multiply(Y,X_82) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82),multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82)) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) = multiply(Y,X_82),
inference(resolve,[$cnf( $equal(divide(X_81,multiply(inverse(Y),X_81)),Y) )],[refute_0_472,refute_0_475]) ).
cnf(refute_0_477,plain,
divide(X_75,multiply(divide(X_75,multiply(divide(X_75,X_82),X_80)),X_74)) = divide(multiply(divide(X_75,X_82),X_80),X_74),
inference(subst,[],[refute_0_438:[bind(X_76,$fot(multiply(divide(X_75,X_82),X_80)))]]) ).
cnf(refute_0_478,plain,
divide(X_75,multiply(divide(X_75,X_82),X_80)) = divide(X_82,X_80),
inference(subst,[],[refute_0_438:[bind(X_74,$fot(X_80)),bind(X_76,$fot(X_82))]]) ).
cnf(refute_0_479,plain,
( divide(X_75,multiply(divide(X_75,X_82),X_80)) != divide(X_82,X_80)
| divide(X_75,multiply(divide(X_75,multiply(divide(X_75,X_82),X_80)),X_74)) != divide(multiply(divide(X_75,X_82),X_80),X_74)
| divide(X_75,multiply(divide(X_82,X_80),X_74)) = divide(multiply(divide(X_75,X_82),X_80),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_75,multiply(divide(X_75,multiply(divide(X_75,X_82),X_80)),X_74)),divide(multiply(divide(X_75,X_82),X_80),X_74)) ),[0,1,0],$fot(divide(X_82,X_80))]]) ).
cnf(refute_0_480,plain,
( divide(X_75,multiply(divide(X_75,multiply(divide(X_75,X_82),X_80)),X_74)) != divide(multiply(divide(X_75,X_82),X_80),X_74)
| divide(X_75,multiply(divide(X_82,X_80),X_74)) = divide(multiply(divide(X_75,X_82),X_80),X_74) ),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(divide(X_75,X_82),X_80)),divide(X_82,X_80)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
divide(X_75,multiply(divide(X_82,X_80),X_74)) = divide(multiply(divide(X_75,X_82),X_80),X_74),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(divide(X_75,multiply(divide(X_75,X_82),X_80)),X_74)),divide(multiply(divide(X_75,X_82),X_80),X_74)) )],[refute_0_477,refute_0_480]) ).
cnf(refute_0_482,plain,
divide(divide(X_75,X_82),X_74) = divide(X_75,multiply(X_74,X_82)),
inference(subst,[],[refute_0_421:[bind(Y,$fot(X_82)),bind(X_46,$fot(X_74)),bind(X_47,$fot(X_75))]]) ).
cnf(refute_0_483,plain,
multiply(divide(divide(X_75,X_82),X_74),X_80) = multiply(divide(divide(X_75,X_82),X_74),X_80),
introduced(tautology,[refl,[$fot(multiply(divide(divide(X_75,X_82),X_74),X_80))]]) ).
cnf(refute_0_484,plain,
( multiply(divide(divide(X_75,X_82),X_74),X_80) != multiply(divide(divide(X_75,X_82),X_74),X_80)
| divide(divide(X_75,X_82),X_74) != divide(X_75,multiply(X_74,X_82))
| multiply(divide(divide(X_75,X_82),X_74),X_80) = multiply(divide(X_75,multiply(X_74,X_82)),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_75,X_82),X_74),X_80),multiply(divide(divide(X_75,X_82),X_74),X_80)) ),[1,0],$fot(divide(X_75,multiply(X_74,X_82)))]]) ).
cnf(refute_0_485,plain,
( divide(divide(X_75,X_82),X_74) != divide(X_75,multiply(X_74,X_82))
| multiply(divide(divide(X_75,X_82),X_74),X_80) = multiply(divide(X_75,multiply(X_74,X_82)),X_80) ),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_75,X_82),X_74),X_80),multiply(divide(divide(X_75,X_82),X_74),X_80)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(divide(divide(X_75,X_82),X_74),X_80) = multiply(divide(X_75,multiply(X_74,X_82)),X_80),
inference(resolve,[$cnf( $equal(divide(divide(X_75,X_82),X_74),divide(X_75,multiply(X_74,X_82))) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
divide(multiply(divide(X_75,X_82),X_80),X_74) = multiply(divide(divide(X_75,X_82),X_74),X_80),
inference(subst,[],[refute_0_143:[bind(X,$fot(divide(X_75,X_82))),bind(Z,$fot(X_74)),bind(X_3,$fot(X_80))]]) ).
cnf(refute_0_488,plain,
( multiply(divide(divide(X_75,X_82),X_74),X_80) != multiply(divide(X_75,multiply(X_74,X_82)),X_80)
| divide(multiply(divide(X_75,X_82),X_80),X_74) != multiply(divide(divide(X_75,X_82),X_74),X_80)
| divide(multiply(divide(X_75,X_82),X_80),X_74) = multiply(divide(X_75,multiply(X_74,X_82)),X_80) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(multiply(divide(X_75,X_82),X_80),X_74))),bind(Y0,$fot(multiply(divide(divide(X_75,X_82),X_74),X_80))),bind(Z0,$fot(multiply(divide(X_75,multiply(X_74,X_82)),X_80)))]]) ).
cnf(refute_0_489,plain,
( multiply(divide(divide(X_75,X_82),X_74),X_80) != multiply(divide(X_75,multiply(X_74,X_82)),X_80)
| divide(multiply(divide(X_75,X_82),X_80),X_74) = multiply(divide(X_75,multiply(X_74,X_82)),X_80) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_75,X_82),X_80),X_74),multiply(divide(divide(X_75,X_82),X_74),X_80)) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
divide(multiply(divide(X_75,X_82),X_80),X_74) = multiply(divide(X_75,multiply(X_74,X_82)),X_80),
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_75,X_82),X_74),X_80),multiply(divide(X_75,multiply(X_74,X_82)),X_80)) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
( divide(X_75,multiply(divide(X_82,X_80),X_74)) != divide(multiply(divide(X_75,X_82),X_80),X_74)
| divide(multiply(divide(X_75,X_82),X_80),X_74) != multiply(divide(X_75,multiply(X_74,X_82)),X_80)
| divide(X_75,multiply(divide(X_82,X_80),X_74)) = multiply(divide(X_75,multiply(X_74,X_82)),X_80) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_75,multiply(divide(X_82,X_80),X_74)),multiply(divide(X_75,multiply(X_74,X_82)),X_80)) ),[0],$fot(divide(multiply(divide(X_75,X_82),X_80),X_74))]]) ).
cnf(refute_0_492,plain,
( divide(X_75,multiply(divide(X_82,X_80),X_74)) != divide(multiply(divide(X_75,X_82),X_80),X_74)
| divide(X_75,multiply(divide(X_82,X_80),X_74)) = multiply(divide(X_75,multiply(X_74,X_82)),X_80) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_75,X_82),X_80),X_74),multiply(divide(X_75,multiply(X_74,X_82)),X_80)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
divide(X_75,multiply(divide(X_82,X_80),X_74)) = multiply(divide(X_75,multiply(X_74,X_82)),X_80),
inference(resolve,[$cnf( $equal(divide(X_75,multiply(divide(X_82,X_80),X_74)),divide(multiply(divide(X_75,X_82),X_80),X_74)) )],[refute_0_481,refute_0_492]) ).
cnf(refute_0_494,plain,
divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82),
inference(subst,[],[refute_0_493:[bind(X_74,$fot(inverse(Y))),bind(X_75,$fot(X_81)),bind(X_80,$fot(X_82)),bind(X_82,$fot(X_81))]]) ).
cnf(refute_0_495,plain,
( multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) != multiply(Y,X_82)
| divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) != multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82)
| divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(Y,X_82) ),
inference(subst,[],[refute_0_76:[bind(X0,$fot(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))))),bind(Y0,$fot(multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82))),bind(Z0,$fot(multiply(Y,X_82)))]]) ).
cnf(refute_0_496,plain,
( multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82) != multiply(Y,X_82)
| divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(Y,X_82) ),
inference(resolve,[$cnf( $equal(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))),multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) = multiply(Y,X_82),
inference(resolve,[$cnf( $equal(multiply(divide(X_81,multiply(inverse(Y),X_81)),X_82),multiply(Y,X_82)) )],[refute_0_476,refute_0_496]) ).
cnf(refute_0_498,plain,
( divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) != multiply(Y,X_82)
| divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) != multiply(X_82,Y)
| multiply(Y,X_82) = multiply(X_82,Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))),multiply(X_82,Y)) ),[0],$fot(multiply(Y,X_82))]]) ).
cnf(refute_0_499,plain,
( divide(X_81,multiply(divide(X_81,X_82),inverse(Y))) != multiply(X_82,Y)
| multiply(Y,X_82) = multiply(X_82,Y) ),
inference(resolve,[$cnf( $equal(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))),multiply(Y,X_82)) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
multiply(Y,X_82) = multiply(X_82,Y),
inference(resolve,[$cnf( $equal(divide(X_81,multiply(divide(X_81,X_82),inverse(Y))),multiply(X_82,Y)) )],[refute_0_445,refute_0_499]) ).
cnf(refute_0_501,plain,
multiply(X_87,X_86) = multiply(X_86,X_87),
inference(subst,[],[refute_0_500:[bind(Y,$fot(X_87)),bind(X_82,$fot(X_86))]]) ).
cnf(refute_0_502,plain,
( multiply(X_87,X_86) != multiply(X_86,X_87)
| multiply(X_86,X_87) = multiply(X_87,X_86) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_87,X_86))),bind(Y0,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_503,plain,
multiply(X_86,X_87) = multiply(X_87,X_86),
inference(resolve,[$cnf( $equal(multiply(X_87,X_86),multiply(X_86,X_87)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
( multiply(X_86,X_87) != multiply(X_87,X_86)
| multiply(multiply(X_86,X_87),X_85) != multiply(multiply(X_86,X_85),X_87)
| multiply(multiply(X_87,X_86),X_85) = multiply(multiply(X_86,X_85),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_86,X_87),X_85),multiply(multiply(X_86,X_85),X_87)) ),[0,0],$fot(multiply(X_87,X_86))]]) ).
cnf(refute_0_505,plain,
( multiply(multiply(X_86,X_87),X_85) != multiply(multiply(X_86,X_85),X_87)
| multiply(multiply(X_87,X_86),X_85) = multiply(multiply(X_86,X_85),X_87) ),
inference(resolve,[$cnf( $equal(multiply(X_86,X_87),multiply(X_87,X_86)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(multiply(X_87,X_86),X_85) = multiply(multiply(X_86,X_85),X_87),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),X_85),multiply(multiply(X_86,X_85),X_87)) )],[refute_0_382,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(Y,multiply(X_86,X_87)) = multiply(multiply(X_86,X_87),Y),
inference(subst,[],[refute_0_500:[bind(X_82,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_508,plain,
multiply(multiply(X_86,X_87),Y) = multiply(multiply(X_86,Y),X_87),
inference(subst,[],[refute_0_381:[bind(X_45,$fot(X_86)),bind(X_47,$fot(X_87))]]) ).
cnf(refute_0_509,plain,
( multiply(Y,multiply(X_86,X_87)) != multiply(multiply(X_86,X_87),Y)
| multiply(multiply(X_86,X_87),Y) != multiply(multiply(X_86,Y),X_87)
| multiply(Y,multiply(X_86,X_87)) = multiply(multiply(X_86,Y),X_87) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,multiply(X_86,X_87)),multiply(multiply(X_86,Y),X_87)) ),[0],$fot(multiply(multiply(X_86,X_87),Y))]]) ).
cnf(refute_0_510,plain,
( multiply(Y,multiply(X_86,X_87)) != multiply(multiply(X_86,X_87),Y)
| multiply(Y,multiply(X_86,X_87)) = multiply(multiply(X_86,Y),X_87) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),Y),multiply(multiply(X_86,Y),X_87)) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(Y,multiply(X_86,X_87)) = multiply(multiply(X_86,Y),X_87),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_86,X_87)),multiply(multiply(X_86,X_87),Y)) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
( multiply(Y,multiply(X_86,X_87)) != multiply(multiply(X_86,Y),X_87)
| multiply(multiply(X_86,Y),X_87) = multiply(Y,multiply(X_86,X_87)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(Y,multiply(X_86,X_87)))),bind(Y0,$fot(multiply(multiply(X_86,Y),X_87)))]]) ).
cnf(refute_0_513,plain,
multiply(multiply(X_86,Y),X_87) = multiply(Y,multiply(X_86,X_87)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_86,X_87)),multiply(multiply(X_86,Y),X_87)) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(multiply(X_87,X_86),X_85) = multiply(X_86,multiply(X_87,X_85)),
inference(subst,[],[refute_0_513:[bind(Y,$fot(X_86)),bind(X_86,$fot(X_87)),bind(X_87,$fot(X_85))]]) ).
cnf(refute_0_515,plain,
( multiply(multiply(X_87,X_86),X_85) != multiply(X_86,multiply(X_87,X_85))
| multiply(multiply(X_87,X_86),X_85) != multiply(multiply(X_86,X_85),X_87)
| multiply(X_86,multiply(X_87,X_85)) = multiply(multiply(X_86,X_85),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_87,X_86),X_85),multiply(multiply(X_86,X_85),X_87)) ),[0],$fot(multiply(X_86,multiply(X_87,X_85)))]]) ).
cnf(refute_0_516,plain,
( multiply(multiply(X_87,X_86),X_85) != multiply(multiply(X_86,X_85),X_87)
| multiply(X_86,multiply(X_87,X_85)) = multiply(multiply(X_86,X_85),X_87) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_87,X_86),X_85),multiply(X_86,multiply(X_87,X_85))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(multiply(X_86,X_85),X_87) = multiply(X_85,multiply(X_86,X_87)),
inference(subst,[],[refute_0_513:[bind(Y,$fot(X_85))]]) ).
cnf(refute_0_518,plain,
( multiply(X_86,multiply(X_87,X_85)) != multiply(multiply(X_86,X_85),X_87)
| multiply(multiply(X_86,X_85),X_87) != multiply(X_85,multiply(X_86,X_87))
| multiply(X_86,multiply(X_87,X_85)) = multiply(X_85,multiply(X_86,X_87)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_86,multiply(X_87,X_85)),multiply(X_85,multiply(X_86,X_87))) ),[0],$fot(multiply(multiply(X_86,X_85),X_87))]]) ).
cnf(refute_0_519,plain,
( multiply(X_86,multiply(X_87,X_85)) != multiply(multiply(X_86,X_85),X_87)
| multiply(X_86,multiply(X_87,X_85)) = multiply(X_85,multiply(X_86,X_87)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_85),X_87),multiply(X_85,multiply(X_86,X_87))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
( multiply(multiply(X_87,X_86),X_85) != multiply(multiply(X_86,X_85),X_87)
| multiply(X_86,multiply(X_87,X_85)) = multiply(X_85,multiply(X_86,X_87)) ),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X_87,X_85)),multiply(multiply(X_86,X_85),X_87)) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(X_86,multiply(X_87,X_85)) = multiply(X_85,multiply(X_86,X_87)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_87,X_86),X_85),multiply(multiply(X_86,X_85),X_87)) )],[refute_0_506,refute_0_520]) ).
cnf(refute_0_522,plain,
( multiply(X_86,multiply(X_87,X_85)) != multiply(X_85,multiply(X_86,X_87))
| multiply(X_85,multiply(X_86,X_87)) = multiply(X_86,multiply(X_87,X_85)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_86,multiply(X_87,X_85)))),bind(Y0,$fot(multiply(X_85,multiply(X_86,X_87))))]]) ).
cnf(refute_0_523,plain,
multiply(X_85,multiply(X_86,X_87)) = multiply(X_86,multiply(X_87,X_85)),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X_87,X_85)),multiply(X_85,multiply(X_86,X_87))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_523:[bind(X_85,$fot(c3)),bind(X_86,$fot(a3)),bind(X_87,$fot(b3))]]) ).
cnf(refute_0_525,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_526,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_526,refute_0_368]) ).
cnf(refute_0_528,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_529,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_528,refute_0_527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP096-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 13 22:17:39 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.62/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.80
% 0.62/0.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.72/0.89
%------------------------------------------------------------------------------