TSTP Solution File: GRP527-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n012.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 10:42:09 EDT 2022

% Result   : Unsatisfiable 0.47s 0.71s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   67
%            Number of leaves      :   78
% Syntax   : Number of clauses     :  325 ( 176 unt;   0 nHn; 150 RR)
%            Number of literals    :  538 ( 537 equ; 216 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  755 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    divide(A,divide(divide(A,B),divide(C,B))) = C ).

cnf(multiply,axiom,
    multiply(A,B) = divide(A,divide(divide(C,C),B)) ).

cnf(inverse,axiom,
    inverse(A) = divide(divide(B,B),A) ).

cnf(prove_these_axioms_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).

cnf(refute_0_0,plain,
    divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))) = X_6,
    inference(subst,[],[single_axiom:[bind(A,$fot(X_5)),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).

cnf(refute_0_1,plain,
    inverse(divide(X_6,X_5)) = divide(divide(X_5,X_5),divide(X_6,X_5)),
    inference(subst,[],[inverse:[bind(A,$fot(divide(X_6,X_5))),bind(B,$fot(X_5))]]) ).

cnf(refute_0_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( inverse(divide(X_6,X_5)) != divide(divide(X_5,X_5),divide(X_6,X_5))
    | divide(divide(X_5,X_5),divide(X_6,X_5)) = inverse(divide(X_6,X_5)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_6,X_5)))),bind(Y,$fot(divide(divide(X_5,X_5),divide(X_6,X_5))))]]) ).

cnf(refute_0_6,plain,
    divide(divide(X_5,X_5),divide(X_6,X_5)) = inverse(divide(X_6,X_5)),
    inference(resolve,[$cnf( $equal(inverse(divide(X_6,X_5)),divide(divide(X_5,X_5),divide(X_6,X_5))) )],[refute_0_1,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))) != X_6
    | divide(divide(X_5,X_5),divide(X_6,X_5)) != inverse(divide(X_6,X_5))
    | divide(X_5,inverse(divide(X_6,X_5))) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))),X_6) ),[0,1],$fot(inverse(divide(X_6,X_5)))]]) ).

cnf(refute_0_8,plain,
    ( divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))) != X_6
    | divide(X_5,inverse(divide(X_6,X_5))) = X_6 ),
    inference(resolve,[$cnf( $equal(divide(divide(X_5,X_5),divide(X_6,X_5)),inverse(divide(X_6,X_5))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    divide(X_5,inverse(divide(X_6,X_5))) = X_6,
    inference(resolve,[$cnf( $equal(divide(X_5,divide(divide(X_5,X_5),divide(X_6,X_5))),X_6) )],[refute_0_0,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( inverse(A) != divide(divide(B,B),A)
    | divide(divide(B,B),A) = inverse(A) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).

cnf(refute_0_11,plain,
    divide(divide(B,B),A) = inverse(A),
    inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_10]) ).

cnf(refute_0_12,plain,
    divide(divide(C,C),B) = inverse(B),
    inference(subst,[],[refute_0_11:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).

cnf(refute_0_13,plain,
    divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
    introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).

cnf(refute_0_14,plain,
    ( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
    | divide(divide(C,C),B) != inverse(B)
    | divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).

cnf(refute_0_15,plain,
    ( divide(divide(C,C),B) != inverse(B)
    | divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
    inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
    inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_12,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( multiply(A,B) != divide(A,divide(divide(C,C),B))
    | divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
    | multiply(A,B) = divide(A,inverse(B)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).

cnf(refute_0_18,plain,
    ( multiply(A,B) != divide(A,divide(divide(C,C),B))
    | multiply(A,B) = divide(A,inverse(B)) ),
    inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    multiply(A,B) = divide(A,inverse(B)),
    inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( multiply(A,B) != divide(A,inverse(B))
    | divide(A,inverse(B)) = multiply(A,B) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).

cnf(refute_0_21,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    divide(X_5,inverse(divide(X_6,X_5))) = multiply(X_5,divide(X_6,X_5)),
    inference(subst,[],[refute_0_21:[bind(A,$fot(X_5)),bind(B,$fot(divide(X_6,X_5)))]]) ).

cnf(refute_0_23,plain,
    ( divide(X_5,inverse(divide(X_6,X_5))) != X_6
    | divide(X_5,inverse(divide(X_6,X_5))) != multiply(X_5,divide(X_6,X_5))
    | multiply(X_5,divide(X_6,X_5)) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_5,inverse(divide(X_6,X_5))),X_6) ),[0],$fot(multiply(X_5,divide(X_6,X_5)))]]) ).

cnf(refute_0_24,plain,
    ( divide(X_5,inverse(divide(X_6,X_5))) != X_6
    | multiply(X_5,divide(X_6,X_5)) = X_6 ),
    inference(resolve,[$cnf( $equal(divide(X_5,inverse(divide(X_6,X_5))),multiply(X_5,divide(X_6,X_5))) )],[refute_0_22,refute_0_23]) ).

cnf(refute_0_25,plain,
    multiply(X_5,divide(X_6,X_5)) = X_6,
    inference(resolve,[$cnf( $equal(divide(X_5,inverse(divide(X_6,X_5))),X_6) )],[refute_0_9,refute_0_24]) ).

cnf(refute_0_26,plain,
    multiply(X_5,divide(multiply(X_40,X_5),X_5)) = multiply(X_40,X_5),
    inference(subst,[],[refute_0_25:[bind(X_6,$fot(multiply(X_40,X_5)))]]) ).

cnf(refute_0_27,plain,
    multiply(multiply(X_6,X_38),divide(X_6,multiply(X_6,X_38))) = X_6,
    inference(subst,[],[refute_0_25:[bind(X_5,$fot(multiply(X_6,X_38)))]]) ).

cnf(refute_0_28,plain,
    divide(A,divide(divide(A,inverse(X_10)),divide(C,inverse(X_10)))) = C,
    inference(subst,[],[single_axiom:[bind(B,$fot(inverse(X_10)))]]) ).

cnf(refute_0_29,plain,
    multiply(A,X_10) = divide(A,inverse(X_10)),
    inference(subst,[],[refute_0_19:[bind(B,$fot(X_10))]]) ).

cnf(refute_0_30,plain,
    ( multiply(A,X_10) != divide(A,inverse(X_10))
    | divide(A,inverse(X_10)) = multiply(A,X_10) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,X_10))),bind(Y,$fot(divide(A,inverse(X_10))))]]) ).

cnf(refute_0_31,plain,
    divide(A,inverse(X_10)) = multiply(A,X_10),
    inference(resolve,[$cnf( $equal(multiply(A,X_10),divide(A,inverse(X_10))) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( divide(A,divide(divide(A,inverse(X_10)),divide(C,inverse(X_10)))) != C
    | divide(A,inverse(X_10)) != multiply(A,X_10)
    | divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,inverse(X_10)),divide(C,inverse(X_10)))),C) ),[0,1,0],$fot(multiply(A,X_10))]]) ).

cnf(refute_0_33,plain,
    ( divide(A,divide(divide(A,inverse(X_10)),divide(C,inverse(X_10)))) != C
    | divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = C ),
    inference(resolve,[$cnf( $equal(divide(A,inverse(X_10)),multiply(A,X_10)) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = C,
    inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,inverse(X_10)),divide(C,inverse(X_10)))),C) )],[refute_0_28,refute_0_33]) ).

cnf(refute_0_35,plain,
    divide(C,inverse(X_10)) = multiply(C,X_10),
    inference(subst,[],[refute_0_21:[bind(A,$fot(C)),bind(B,$fot(X_10))]]) ).

cnf(refute_0_36,plain,
    divide(multiply(A,X_10),divide(C,inverse(X_10))) = divide(multiply(A,X_10),divide(C,inverse(X_10))),
    introduced(tautology,[refl,[$fot(divide(multiply(A,X_10),divide(C,inverse(X_10))))]]) ).

cnf(refute_0_37,plain,
    ( divide(C,inverse(X_10)) != multiply(C,X_10)
    | divide(multiply(A,X_10),divide(C,inverse(X_10))) != divide(multiply(A,X_10),divide(C,inverse(X_10)))
    | divide(multiply(A,X_10),divide(C,inverse(X_10))) = divide(multiply(A,X_10),multiply(C,X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,X_10),divide(C,inverse(X_10))),divide(multiply(A,X_10),divide(C,inverse(X_10)))) ),[1,1],$fot(multiply(C,X_10))]]) ).

cnf(refute_0_38,plain,
    ( divide(C,inverse(X_10)) != multiply(C,X_10)
    | divide(multiply(A,X_10),divide(C,inverse(X_10))) = divide(multiply(A,X_10),multiply(C,X_10)) ),
    inference(resolve,[$cnf( $equal(divide(multiply(A,X_10),divide(C,inverse(X_10))),divide(multiply(A,X_10),divide(C,inverse(X_10)))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    divide(multiply(A,X_10),divide(C,inverse(X_10))) = divide(multiply(A,X_10),multiply(C,X_10)),
    inference(resolve,[$cnf( $equal(divide(C,inverse(X_10)),multiply(C,X_10)) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))),
    introduced(tautology,[refl,[$fot(divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))))]]) ).

cnf(refute_0_41,plain,
    ( divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) != divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10))))
    | divide(multiply(A,X_10),divide(C,inverse(X_10))) != divide(multiply(A,X_10),multiply(C,X_10))
    | divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = divide(A,divide(multiply(A,X_10),multiply(C,X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))),divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10))))) ),[1,1],$fot(divide(multiply(A,X_10),multiply(C,X_10)))]]) ).

cnf(refute_0_42,plain,
    ( divide(multiply(A,X_10),divide(C,inverse(X_10))) != divide(multiply(A,X_10),multiply(C,X_10))
    | divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = divide(A,divide(multiply(A,X_10),multiply(C,X_10))) ),
    inference(resolve,[$cnf( $equal(divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))),divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10))))) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) = divide(A,divide(multiply(A,X_10),multiply(C,X_10))),
    inference(resolve,[$cnf( $equal(divide(multiply(A,X_10),divide(C,inverse(X_10))),divide(multiply(A,X_10),multiply(C,X_10))) )],[refute_0_39,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) != C
    | divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) != divide(A,divide(multiply(A,X_10),multiply(C,X_10)))
    | divide(A,divide(multiply(A,X_10),multiply(C,X_10))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))),C) ),[0],$fot(divide(A,divide(multiply(A,X_10),multiply(C,X_10))))]]) ).

cnf(refute_0_45,plain,
    ( divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))) != C
    | divide(A,divide(multiply(A,X_10),multiply(C,X_10))) = C ),
    inference(resolve,[$cnf( $equal(divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))),divide(A,divide(multiply(A,X_10),multiply(C,X_10)))) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    divide(A,divide(multiply(A,X_10),multiply(C,X_10))) = C,
    inference(resolve,[$cnf( $equal(divide(A,divide(multiply(A,X_10),divide(C,inverse(X_10)))),C) )],[refute_0_34,refute_0_45]) ).

cnf(refute_0_47,plain,
    divide(X_34,divide(multiply(X_34,X_36),multiply(inverse(X_36),X_36))) = inverse(X_36),
    inference(subst,[],[refute_0_46:[bind(A,$fot(X_34)),bind(C,$fot(inverse(X_36))),bind(X_10,$fot(X_36))]]) ).

cnf(refute_0_48,plain,
    multiply(X_5,divide(multiply(inverse(X_25),X_25),X_5)) = multiply(inverse(X_25),X_25),
    inference(subst,[],[refute_0_25:[bind(X_6,$fot(multiply(inverse(X_25),X_25)))]]) ).

cnf(refute_0_49,plain,
    inverse(A) = divide(divide(inverse(X_10),inverse(X_10)),A),
    inference(subst,[],[inverse:[bind(B,$fot(inverse(X_10)))]]) ).

cnf(refute_0_50,plain,
    multiply(inverse(X_10),X_10) = divide(inverse(X_10),inverse(X_10)),
    inference(subst,[],[refute_0_19:[bind(A,$fot(inverse(X_10))),bind(B,$fot(X_10))]]) ).

cnf(refute_0_51,plain,
    ( multiply(inverse(X_10),X_10) != divide(inverse(X_10),inverse(X_10))
    | divide(inverse(X_10),inverse(X_10)) = multiply(inverse(X_10),X_10) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(inverse(X_10),X_10))),bind(Y,$fot(divide(inverse(X_10),inverse(X_10))))]]) ).

cnf(refute_0_52,plain,
    divide(inverse(X_10),inverse(X_10)) = multiply(inverse(X_10),X_10),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),X_10),divide(inverse(X_10),inverse(X_10))) )],[refute_0_50,refute_0_51]) ).

cnf(refute_0_53,plain,
    ( divide(inverse(X_10),inverse(X_10)) != multiply(inverse(X_10),X_10)
    | inverse(A) != divide(divide(inverse(X_10),inverse(X_10)),A)
    | inverse(A) = divide(multiply(inverse(X_10),X_10),A) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_10),inverse(X_10)),A)) ),[1,0],$fot(multiply(inverse(X_10),X_10))]]) ).

cnf(refute_0_54,plain,
    ( inverse(A) != divide(divide(inverse(X_10),inverse(X_10)),A)
    | inverse(A) = divide(multiply(inverse(X_10),X_10),A) ),
    inference(resolve,[$cnf( $equal(divide(inverse(X_10),inverse(X_10)),multiply(inverse(X_10),X_10)) )],[refute_0_52,refute_0_53]) ).

cnf(refute_0_55,plain,
    inverse(A) = divide(multiply(inverse(X_10),X_10),A),
    inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_10),inverse(X_10)),A)) )],[refute_0_49,refute_0_54]) ).

cnf(refute_0_56,plain,
    inverse(X_5) = divide(multiply(inverse(X_25),X_25),X_5),
    inference(subst,[],[refute_0_55:[bind(A,$fot(X_5)),bind(X_10,$fot(X_25))]]) ).

cnf(refute_0_57,plain,
    ( inverse(X_5) != divide(multiply(inverse(X_25),X_25),X_5)
    | divide(multiply(inverse(X_25),X_25),X_5) = inverse(X_5) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_5))),bind(Y,$fot(divide(multiply(inverse(X_25),X_25),X_5)))]]) ).

cnf(refute_0_58,plain,
    divide(multiply(inverse(X_25),X_25),X_5) = inverse(X_5),
    inference(resolve,[$cnf( $equal(inverse(X_5),divide(multiply(inverse(X_25),X_25),X_5)) )],[refute_0_56,refute_0_57]) ).

cnf(refute_0_59,plain,
    ( multiply(X_5,divide(multiply(inverse(X_25),X_25),X_5)) != multiply(inverse(X_25),X_25)
    | divide(multiply(inverse(X_25),X_25),X_5) != inverse(X_5)
    | multiply(X_5,inverse(X_5)) = multiply(inverse(X_25),X_25) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,divide(multiply(inverse(X_25),X_25),X_5)),multiply(inverse(X_25),X_25)) ),[0,1],$fot(inverse(X_5))]]) ).

cnf(refute_0_60,plain,
    ( multiply(X_5,divide(multiply(inverse(X_25),X_25),X_5)) != multiply(inverse(X_25),X_25)
    | multiply(X_5,inverse(X_5)) = multiply(inverse(X_25),X_25) ),
    inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_25),X_25),X_5),inverse(X_5)) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    multiply(X_5,inverse(X_5)) = multiply(inverse(X_25),X_25),
    inference(resolve,[$cnf( $equal(multiply(X_5,divide(multiply(inverse(X_25),X_25),X_5)),multiply(inverse(X_25),X_25)) )],[refute_0_48,refute_0_60]) ).

cnf(refute_0_62,plain,
    multiply(A,inverse(X_23)) = divide(A,inverse(inverse(X_23))),
    inference(subst,[],[refute_0_19:[bind(B,$fot(inverse(X_23)))]]) ).

cnf(refute_0_63,plain,
    inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5))),
    inference(subst,[],[inverse:[bind(A,$fot(divide(divide(divide(B,B),X_5),divide(X_6,X_5))))]]) ).

cnf(refute_0_64,plain,
    divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = X_6,
    inference(subst,[],[single_axiom:[bind(A,$fot(divide(B,B))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).

cnf(refute_0_65,plain,
    ( divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != X_6
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5)))
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5)))) ),[1],$fot(X_6)]]) ).

cnf(refute_0_66,plain,
    ( inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5)))
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = X_6 ),
    inference(resolve,[$cnf( $equal(divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5))),X_6) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = X_6,
    inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),divide(divide(B,B),divide(divide(divide(B,B),X_5),divide(X_6,X_5)))) )],[refute_0_63,refute_0_66]) ).

cnf(refute_0_68,plain,
    divide(divide(B,B),X_5) = inverse(X_5),
    inference(subst,[],[refute_0_11:[bind(A,$fot(X_5))]]) ).

cnf(refute_0_69,plain,
    divide(divide(divide(B,B),X_5),divide(X_6,X_5)) = divide(divide(divide(B,B),X_5),divide(X_6,X_5)),
    introduced(tautology,[refl,[$fot(divide(divide(divide(B,B),X_5),divide(X_6,X_5)))]]) ).

cnf(refute_0_70,plain,
    ( divide(divide(B,B),X_5) != inverse(X_5)
    | divide(divide(divide(B,B),X_5),divide(X_6,X_5)) != divide(divide(divide(B,B),X_5),divide(X_6,X_5))
    | divide(divide(divide(B,B),X_5),divide(X_6,X_5)) = divide(inverse(X_5),divide(X_6,X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,B),X_5),divide(X_6,X_5)),divide(divide(divide(B,B),X_5),divide(X_6,X_5))) ),[1,0],$fot(inverse(X_5))]]) ).

cnf(refute_0_71,plain,
    ( divide(divide(B,B),X_5) != inverse(X_5)
    | divide(divide(divide(B,B),X_5),divide(X_6,X_5)) = divide(inverse(X_5),divide(X_6,X_5)) ),
    inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),X_5),divide(X_6,X_5)),divide(divide(divide(B,B),X_5),divide(X_6,X_5))) )],[refute_0_69,refute_0_70]) ).

cnf(refute_0_72,plain,
    divide(divide(divide(B,B),X_5),divide(X_6,X_5)) = divide(inverse(X_5),divide(X_6,X_5)),
    inference(resolve,[$cnf( $equal(divide(divide(B,B),X_5),inverse(X_5)) )],[refute_0_68,refute_0_71]) ).

cnf(refute_0_73,plain,
    inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),
    introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))))]]) ).

cnf(refute_0_74,plain,
    ( divide(divide(divide(B,B),X_5),divide(X_6,X_5)) != divide(inverse(X_5),divide(X_6,X_5))
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5)))
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = inverse(divide(inverse(X_5),divide(X_6,X_5))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5)))) ),[1,0],$fot(divide(inverse(X_5),divide(X_6,X_5)))]]) ).

cnf(refute_0_75,plain,
    ( divide(divide(divide(B,B),X_5),divide(X_6,X_5)) != divide(inverse(X_5),divide(X_6,X_5))
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = inverse(divide(inverse(X_5),divide(X_6,X_5))) ),
    inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5)))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) = inverse(divide(inverse(X_5),divide(X_6,X_5))),
    inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),X_5),divide(X_6,X_5)),divide(inverse(X_5),divide(X_6,X_5))) )],[refute_0_72,refute_0_75]) ).

cnf(refute_0_77,plain,
    ( inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != X_6
    | inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != inverse(divide(inverse(X_5),divide(X_6,X_5)))
    | inverse(divide(inverse(X_5),divide(X_6,X_5))) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),X_6) ),[0],$fot(inverse(divide(inverse(X_5),divide(X_6,X_5))))]]) ).

cnf(refute_0_78,plain,
    ( inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))) != X_6
    | inverse(divide(inverse(X_5),divide(X_6,X_5))) = X_6 ),
    inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),inverse(divide(inverse(X_5),divide(X_6,X_5)))) )],[refute_0_76,refute_0_77]) ).

cnf(refute_0_79,plain,
    inverse(divide(inverse(X_5),divide(X_6,X_5))) = X_6,
    inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_5),divide(X_6,X_5))),X_6) )],[refute_0_67,refute_0_78]) ).

cnf(refute_0_80,plain,
    inverse(divide(inverse(X_5),divide(X_5,X_5))) = X_5,
    inference(subst,[],[refute_0_79:[bind(X_6,$fot(X_5))]]) ).

cnf(refute_0_81,plain,
    multiply(X_7,divide(divide(B,B),X_7)) = divide(B,B),
    inference(subst,[],[refute_0_25:[bind(X_5,$fot(X_7)),bind(X_6,$fot(divide(B,B)))]]) ).

cnf(refute_0_82,plain,
    inverse(X_7) = divide(divide(B,B),X_7),
    inference(subst,[],[inverse:[bind(A,$fot(X_7))]]) ).

cnf(refute_0_83,plain,
    ( inverse(X_7) != divide(divide(B,B),X_7)
    | divide(divide(B,B),X_7) = inverse(X_7) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_7))),bind(Y,$fot(divide(divide(B,B),X_7)))]]) ).

cnf(refute_0_84,plain,
    divide(divide(B,B),X_7) = inverse(X_7),
    inference(resolve,[$cnf( $equal(inverse(X_7),divide(divide(B,B),X_7)) )],[refute_0_82,refute_0_83]) ).

cnf(refute_0_85,plain,
    ( multiply(X_7,divide(divide(B,B),X_7)) != divide(B,B)
    | divide(divide(B,B),X_7) != inverse(X_7)
    | multiply(X_7,inverse(X_7)) = divide(B,B) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_7,divide(divide(B,B),X_7)),divide(B,B)) ),[0,1],$fot(inverse(X_7))]]) ).

cnf(refute_0_86,plain,
    ( multiply(X_7,divide(divide(B,B),X_7)) != divide(B,B)
    | multiply(X_7,inverse(X_7)) = divide(B,B) ),
    inference(resolve,[$cnf( $equal(divide(divide(B,B),X_7),inverse(X_7)) )],[refute_0_84,refute_0_85]) ).

cnf(refute_0_87,plain,
    multiply(X_7,inverse(X_7)) = divide(B,B),
    inference(resolve,[$cnf( $equal(multiply(X_7,divide(divide(B,B),X_7)),divide(B,B)) )],[refute_0_81,refute_0_86]) ).

cnf(refute_0_88,plain,
    multiply(X_20,inverse(X_20)) = divide(X_5,X_5),
    inference(subst,[],[refute_0_87:[bind(B,$fot(X_5)),bind(X_7,$fot(X_20))]]) ).

cnf(refute_0_89,plain,
    ( multiply(X_20,inverse(X_20)) != divide(X_5,X_5)
    | divide(X_5,X_5) = multiply(X_20,inverse(X_20)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_20,inverse(X_20)))),bind(Y,$fot(divide(X_5,X_5)))]]) ).

cnf(refute_0_90,plain,
    divide(X_5,X_5) = multiply(X_20,inverse(X_20)),
    inference(resolve,[$cnf( $equal(multiply(X_20,inverse(X_20)),divide(X_5,X_5)) )],[refute_0_88,refute_0_89]) ).

cnf(refute_0_91,plain,
    ( divide(X_5,X_5) != multiply(X_20,inverse(X_20))
    | inverse(divide(inverse(X_5),divide(X_5,X_5))) != X_5
    | inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = X_5 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_5),divide(X_5,X_5))),X_5) ),[0,0,1],$fot(multiply(X_20,inverse(X_20)))]]) ).

cnf(refute_0_92,plain,
    ( inverse(divide(inverse(X_5),divide(X_5,X_5))) != X_5
    | inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = X_5 ),
    inference(resolve,[$cnf( $equal(divide(X_5,X_5),multiply(X_20,inverse(X_20))) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = X_5,
    inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_5),divide(X_5,X_5))),X_5) )],[refute_0_80,refute_0_92]) ).

cnf(refute_0_94,plain,
    divide(C,divide(divide(C,B),divide(C,B))) = C,
    inference(subst,[],[single_axiom:[bind(A,$fot(C))]]) ).

cnf(refute_0_95,plain,
    multiply(X_20,inverse(X_20)) = divide(divide(C,B),divide(C,B)),
    inference(subst,[],[refute_0_87:[bind(B,$fot(divide(C,B))),bind(X_7,$fot(X_20))]]) ).

cnf(refute_0_96,plain,
    ( multiply(X_20,inverse(X_20)) != divide(divide(C,B),divide(C,B))
    | divide(divide(C,B),divide(C,B)) = multiply(X_20,inverse(X_20)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_20,inverse(X_20)))),bind(Y,$fot(divide(divide(C,B),divide(C,B))))]]) ).

cnf(refute_0_97,plain,
    divide(divide(C,B),divide(C,B)) = multiply(X_20,inverse(X_20)),
    inference(resolve,[$cnf( $equal(multiply(X_20,inverse(X_20)),divide(divide(C,B),divide(C,B))) )],[refute_0_95,refute_0_96]) ).

cnf(refute_0_98,plain,
    ( divide(C,divide(divide(C,B),divide(C,B))) != C
    | divide(divide(C,B),divide(C,B)) != multiply(X_20,inverse(X_20))
    | divide(C,multiply(X_20,inverse(X_20))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(divide(C,divide(divide(C,B),divide(C,B))),C) ),[0,1],$fot(multiply(X_20,inverse(X_20)))]]) ).

cnf(refute_0_99,plain,
    ( divide(C,divide(divide(C,B),divide(C,B))) != C
    | divide(C,multiply(X_20,inverse(X_20))) = C ),
    inference(resolve,[$cnf( $equal(divide(divide(C,B),divide(C,B)),multiply(X_20,inverse(X_20))) )],[refute_0_97,refute_0_98]) ).

cnf(refute_0_100,plain,
    divide(C,multiply(X_20,inverse(X_20))) = C,
    inference(resolve,[$cnf( $equal(divide(C,divide(divide(C,B),divide(C,B))),C) )],[refute_0_94,refute_0_99]) ).

cnf(refute_0_101,plain,
    divide(inverse(X_5),multiply(X_20,inverse(X_20))) = inverse(X_5),
    inference(subst,[],[refute_0_100:[bind(C,$fot(inverse(X_5)))]]) ).

cnf(refute_0_102,plain,
    inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))),
    introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))))]]) ).

cnf(refute_0_103,plain,
    ( divide(inverse(X_5),multiply(X_20,inverse(X_20))) != inverse(X_5)
    | inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) != inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20))))
    | inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = inverse(inverse(X_5)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))),inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20))))) ),[1,0],$fot(inverse(X_5))]]) ).

cnf(refute_0_104,plain,
    ( divide(inverse(X_5),multiply(X_20,inverse(X_20))) != inverse(X_5)
    | inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = inverse(inverse(X_5)) ),
    inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))),inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20))))) )],[refute_0_102,refute_0_103]) ).

cnf(refute_0_105,plain,
    inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) = inverse(inverse(X_5)),
    inference(resolve,[$cnf( $equal(divide(inverse(X_5),multiply(X_20,inverse(X_20))),inverse(X_5)) )],[refute_0_101,refute_0_104]) ).

cnf(refute_0_106,plain,
    ( inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) != X_5
    | inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) != inverse(inverse(X_5))
    | inverse(inverse(X_5)) = X_5 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))),X_5) ),[0],$fot(inverse(inverse(X_5)))]]) ).

cnf(refute_0_107,plain,
    ( inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))) != X_5
    | inverse(inverse(X_5)) = X_5 ),
    inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))),inverse(inverse(X_5))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    inverse(inverse(X_5)) = X_5,
    inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_5),multiply(X_20,inverse(X_20)))),X_5) )],[refute_0_93,refute_0_107]) ).

cnf(refute_0_109,plain,
    inverse(inverse(X_23)) = X_23,
    inference(subst,[],[refute_0_108:[bind(X_5,$fot(X_23))]]) ).

cnf(refute_0_110,plain,
    ( multiply(A,inverse(X_23)) != divide(A,inverse(inverse(X_23)))
    | inverse(inverse(X_23)) != X_23
    | multiply(A,inverse(X_23)) = divide(A,X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_23)),divide(A,inverse(inverse(X_23)))) ),[1,1],$fot(X_23)]]) ).

cnf(refute_0_111,plain,
    ( multiply(A,inverse(X_23)) != divide(A,inverse(inverse(X_23)))
    | multiply(A,inverse(X_23)) = divide(A,X_23) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),X_23) )],[refute_0_109,refute_0_110]) ).

cnf(refute_0_112,plain,
    multiply(A,inverse(X_23)) = divide(A,X_23),
    inference(resolve,[$cnf( $equal(multiply(A,inverse(X_23)),divide(A,inverse(inverse(X_23)))) )],[refute_0_62,refute_0_111]) ).

cnf(refute_0_113,plain,
    multiply(X_5,inverse(X_5)) = divide(X_5,X_5),
    inference(subst,[],[refute_0_112:[bind(A,$fot(X_5)),bind(X_23,$fot(X_5))]]) ).

cnf(refute_0_114,plain,
    ( multiply(X_5,inverse(X_5)) != multiply(inverse(X_25),X_25)
    | multiply(X_5,inverse(X_5)) != divide(X_5,X_5)
    | divide(X_5,X_5) = multiply(inverse(X_25),X_25) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,inverse(X_5)),multiply(inverse(X_25),X_25)) ),[0],$fot(divide(X_5,X_5))]]) ).

cnf(refute_0_115,plain,
    ( multiply(X_5,inverse(X_5)) != multiply(inverse(X_25),X_25)
    | divide(X_5,X_5) = multiply(inverse(X_25),X_25) ),
    inference(resolve,[$cnf( $equal(multiply(X_5,inverse(X_5)),divide(X_5,X_5)) )],[refute_0_113,refute_0_114]) ).

cnf(refute_0_116,plain,
    divide(X_5,X_5) = multiply(inverse(X_25),X_25),
    inference(resolve,[$cnf( $equal(multiply(X_5,inverse(X_5)),multiply(inverse(X_25),X_25)) )],[refute_0_61,refute_0_115]) ).

cnf(refute_0_117,plain,
    divide(X_5,X_5) = multiply(inverse(X_36),X_36),
    inference(subst,[],[refute_0_116:[bind(X_25,$fot(X_36))]]) ).

cnf(refute_0_118,plain,
    ( divide(X_5,X_5) != multiply(inverse(X_36),X_36)
    | multiply(inverse(X_36),X_36) = divide(X_5,X_5) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_5,X_5))),bind(Y,$fot(multiply(inverse(X_36),X_36)))]]) ).

cnf(refute_0_119,plain,
    multiply(inverse(X_36),X_36) = divide(X_5,X_5),
    inference(resolve,[$cnf( $equal(divide(X_5,X_5),multiply(inverse(X_36),X_36)) )],[refute_0_117,refute_0_118]) ).

cnf(refute_0_120,plain,
    ( multiply(inverse(X_36),X_36) != divide(X_5,X_5)
    | divide(X_34,divide(multiply(X_34,X_36),multiply(inverse(X_36),X_36))) != inverse(X_36)
    | divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = inverse(X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),multiply(inverse(X_36),X_36))),inverse(X_36)) ),[0,1,1],$fot(divide(X_5,X_5))]]) ).

cnf(refute_0_121,plain,
    ( divide(X_34,divide(multiply(X_34,X_36),multiply(inverse(X_36),X_36))) != inverse(X_36)
    | divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = inverse(X_36) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_36),X_36),divide(X_5,X_5)) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = inverse(X_36),
    inference(resolve,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),multiply(inverse(X_36),X_36))),inverse(X_36)) )],[refute_0_47,refute_0_121]) ).

cnf(refute_0_123,plain,
    inverse(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))) = X_12,
    inference(subst,[],[refute_0_79:[bind(X_5,$fot(divide(X_1,X_1))),bind(X_6,$fot(X_12))]]) ).

cnf(refute_0_124,plain,
    inverse(A) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A),
    inference(subst,[],[inverse:[bind(B,$fot(divide(X_1,X_1)))]]) ).

cnf(refute_0_125,plain,
    inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
    inference(subst,[],[inverse:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_1))]]) ).

cnf(refute_0_126,plain,
    ( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
    | divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).

cnf(refute_0_127,plain,
    divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
    inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_125,refute_0_126]) ).

cnf(refute_0_128,plain,
    ( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
    | inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
    | inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).

cnf(refute_0_129,plain,
    ( inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
    | inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
    inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_127,refute_0_128]) ).

cnf(refute_0_130,plain,
    inverse(A) = divide(inverse(divide(X_1,X_1)),A),
    inference(resolve,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) )],[refute_0_124,refute_0_129]) ).

cnf(refute_0_131,plain,
    inverse(divide(X_12,divide(X_1,X_1))) = divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1))),
    inference(subst,[],[refute_0_130:[bind(A,$fot(divide(X_12,divide(X_1,X_1))))]]) ).

cnf(refute_0_132,plain,
    ( inverse(divide(X_12,divide(X_1,X_1))) != divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))
    | divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1))) = inverse(divide(X_12,divide(X_1,X_1))) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_12,divide(X_1,X_1))))),bind(Y,$fot(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))))]]) ).

cnf(refute_0_133,plain,
    divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1))) = inverse(divide(X_12,divide(X_1,X_1))),
    inference(resolve,[$cnf( $equal(inverse(divide(X_12,divide(X_1,X_1))),divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))) )],[refute_0_131,refute_0_132]) ).

cnf(refute_0_134,plain,
    ( divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1))) != inverse(divide(X_12,divide(X_1,X_1)))
    | inverse(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))) != X_12
    | inverse(inverse(divide(X_12,divide(X_1,X_1)))) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))),X_12) ),[0,0],$fot(inverse(divide(X_12,divide(X_1,X_1))))]]) ).

cnf(refute_0_135,plain,
    ( inverse(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))) != X_12
    | inverse(inverse(divide(X_12,divide(X_1,X_1)))) = X_12 ),
    inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1))),inverse(divide(X_12,divide(X_1,X_1)))) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    inverse(inverse(divide(X_12,divide(X_1,X_1)))) = X_12,
    inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(X_1,X_1)),divide(X_12,divide(X_1,X_1)))),X_12) )],[refute_0_123,refute_0_135]) ).

cnf(refute_0_137,plain,
    inverse(inverse(divide(X_12,divide(X_1,X_1)))) = divide(X_12,divide(X_1,X_1)),
    inference(subst,[],[refute_0_108:[bind(X_5,$fot(divide(X_12,divide(X_1,X_1))))]]) ).

cnf(refute_0_138,plain,
    ( inverse(inverse(divide(X_12,divide(X_1,X_1)))) != X_12
    | inverse(inverse(divide(X_12,divide(X_1,X_1)))) != divide(X_12,divide(X_1,X_1))
    | divide(X_12,divide(X_1,X_1)) = X_12 ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_12,divide(X_1,X_1)))),X_12) ),[0],$fot(divide(X_12,divide(X_1,X_1)))]]) ).

cnf(refute_0_139,plain,
    ( inverse(inverse(divide(X_12,divide(X_1,X_1)))) != X_12
    | divide(X_12,divide(X_1,X_1)) = X_12 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_12,divide(X_1,X_1)))),divide(X_12,divide(X_1,X_1))) )],[refute_0_137,refute_0_138]) ).

cnf(refute_0_140,plain,
    divide(X_12,divide(X_1,X_1)) = X_12,
    inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_12,divide(X_1,X_1)))),X_12) )],[refute_0_136,refute_0_139]) ).

cnf(refute_0_141,plain,
    divide(multiply(X_34,X_36),divide(X_5,X_5)) = multiply(X_34,X_36),
    inference(subst,[],[refute_0_140:[bind(X_1,$fot(X_5)),bind(X_12,$fot(multiply(X_34,X_36)))]]) ).

cnf(refute_0_142,plain,
    divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))),
    introduced(tautology,[refl,[$fot(divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))))]]) ).

cnf(refute_0_143,plain,
    ( divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) != divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5)))
    | divide(multiply(X_34,X_36),divide(X_5,X_5)) != multiply(X_34,X_36)
    | divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = divide(X_34,multiply(X_34,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))),divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5)))) ),[1,1],$fot(multiply(X_34,X_36))]]) ).

cnf(refute_0_144,plain,
    ( divide(multiply(X_34,X_36),divide(X_5,X_5)) != multiply(X_34,X_36)
    | divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = divide(X_34,multiply(X_34,X_36)) ),
    inference(resolve,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))),divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5)))) )],[refute_0_142,refute_0_143]) ).

cnf(refute_0_145,plain,
    divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) = divide(X_34,multiply(X_34,X_36)),
    inference(resolve,[$cnf( $equal(divide(multiply(X_34,X_36),divide(X_5,X_5)),multiply(X_34,X_36)) )],[refute_0_141,refute_0_144]) ).

cnf(refute_0_146,plain,
    ( divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) != divide(X_34,multiply(X_34,X_36))
    | divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) != inverse(X_36)
    | divide(X_34,multiply(X_34,X_36)) = inverse(X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))),inverse(X_36)) ),[0],$fot(divide(X_34,multiply(X_34,X_36)))]]) ).

cnf(refute_0_147,plain,
    ( divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))) != inverse(X_36)
    | divide(X_34,multiply(X_34,X_36)) = inverse(X_36) ),
    inference(resolve,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))),divide(X_34,multiply(X_34,X_36))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    divide(X_34,multiply(X_34,X_36)) = inverse(X_36),
    inference(resolve,[$cnf( $equal(divide(X_34,divide(multiply(X_34,X_36),divide(X_5,X_5))),inverse(X_36)) )],[refute_0_122,refute_0_147]) ).

cnf(refute_0_149,plain,
    divide(X_6,multiply(X_6,X_38)) = inverse(X_38),
    inference(subst,[],[refute_0_148:[bind(X_34,$fot(X_6)),bind(X_36,$fot(X_38))]]) ).

cnf(refute_0_150,plain,
    ( multiply(multiply(X_6,X_38),divide(X_6,multiply(X_6,X_38))) != X_6
    | divide(X_6,multiply(X_6,X_38)) != inverse(X_38)
    | multiply(multiply(X_6,X_38),inverse(X_38)) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,X_38),divide(X_6,multiply(X_6,X_38))),X_6) ),[0,1],$fot(inverse(X_38))]]) ).

cnf(refute_0_151,plain,
    ( multiply(multiply(X_6,X_38),divide(X_6,multiply(X_6,X_38))) != X_6
    | multiply(multiply(X_6,X_38),inverse(X_38)) = X_6 ),
    inference(resolve,[$cnf( $equal(divide(X_6,multiply(X_6,X_38)),inverse(X_38)) )],[refute_0_149,refute_0_150]) ).

cnf(refute_0_152,plain,
    multiply(multiply(X_6,X_38),inverse(X_38)) = X_6,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_6,X_38),divide(X_6,multiply(X_6,X_38))),X_6) )],[refute_0_27,refute_0_151]) ).

cnf(refute_0_153,plain,
    multiply(multiply(X_6,X_38),inverse(X_38)) = divide(multiply(X_6,X_38),X_38),
    inference(subst,[],[refute_0_112:[bind(A,$fot(multiply(X_6,X_38))),bind(X_23,$fot(X_38))]]) ).

cnf(refute_0_154,plain,
    ( multiply(multiply(X_6,X_38),inverse(X_38)) != X_6
    | multiply(multiply(X_6,X_38),inverse(X_38)) != divide(multiply(X_6,X_38),X_38)
    | divide(multiply(X_6,X_38),X_38) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,X_38),inverse(X_38)),X_6) ),[0],$fot(divide(multiply(X_6,X_38),X_38))]]) ).

cnf(refute_0_155,plain,
    ( multiply(multiply(X_6,X_38),inverse(X_38)) != X_6
    | divide(multiply(X_6,X_38),X_38) = X_6 ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_6,X_38),inverse(X_38)),divide(multiply(X_6,X_38),X_38)) )],[refute_0_153,refute_0_154]) ).

cnf(refute_0_156,plain,
    divide(multiply(X_6,X_38),X_38) = X_6,
    inference(resolve,[$cnf( $equal(multiply(multiply(X_6,X_38),inverse(X_38)),X_6) )],[refute_0_152,refute_0_155]) ).

cnf(refute_0_157,plain,
    divide(multiply(X_40,X_5),X_5) = X_40,
    inference(subst,[],[refute_0_156:[bind(X_38,$fot(X_5)),bind(X_6,$fot(X_40))]]) ).

cnf(refute_0_158,plain,
    ( multiply(X_5,divide(multiply(X_40,X_5),X_5)) != multiply(X_40,X_5)
    | divide(multiply(X_40,X_5),X_5) != X_40
    | multiply(X_5,X_40) = multiply(X_40,X_5) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,divide(multiply(X_40,X_5),X_5)),multiply(X_40,X_5)) ),[0,1],$fot(X_40)]]) ).

cnf(refute_0_159,plain,
    ( multiply(X_5,divide(multiply(X_40,X_5),X_5)) != multiply(X_40,X_5)
    | multiply(X_5,X_40) = multiply(X_40,X_5) ),
    inference(resolve,[$cnf( $equal(divide(multiply(X_40,X_5),X_5),X_40) )],[refute_0_157,refute_0_158]) ).

cnf(refute_0_160,plain,
    multiply(X_5,X_40) = multiply(X_40,X_5),
    inference(resolve,[$cnf( $equal(multiply(X_5,divide(multiply(X_40,X_5),X_5)),multiply(X_40,X_5)) )],[refute_0_26,refute_0_159]) ).

cnf(refute_0_161,plain,
    ( multiply(X_5,X_40) != multiply(X_40,X_5)
    | multiply(X_40,X_5) = multiply(X_5,X_40) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_5,X_40))),bind(Y,$fot(multiply(X_40,X_5)))]]) ).

cnf(refute_0_162,plain,
    multiply(X_40,X_5) = multiply(X_5,X_40),
    inference(resolve,[$cnf( $equal(multiply(X_5,X_40),multiply(X_40,X_5)) )],[refute_0_160,refute_0_161]) ).

cnf(refute_0_163,plain,
    multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
    inference(subst,[],[refute_0_162:[bind(X_40,$fot(multiply(a3,b3))),bind(X_5,$fot(c3))]]) ).

cnf(refute_0_164,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_165,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_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    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_165,prove_these_axioms_3]) ).

cnf(refute_0_167,plain,
    multiply(A,multiply(X_85,X_84)) = divide(A,inverse(multiply(X_85,X_84))),
    inference(subst,[],[refute_0_19:[bind(B,$fot(multiply(X_85,X_84)))]]) ).

cnf(refute_0_168,plain,
    divide(inverse(X_43),multiply(inverse(X_43),multiply(X_44,X_43))) = inverse(multiply(X_44,X_43)),
    inference(subst,[],[refute_0_148:[bind(X_34,$fot(inverse(X_43))),bind(X_36,$fot(multiply(X_44,X_43)))]]) ).

cnf(refute_0_169,plain,
    multiply(inverse(X_10),divide(X_6,inverse(X_10))) = X_6,
    inference(subst,[],[refute_0_25:[bind(X_5,$fot(inverse(X_10)))]]) ).

cnf(refute_0_170,plain,
    multiply(X_6,X_10) = divide(X_6,inverse(X_10)),
    inference(subst,[],[refute_0_19:[bind(A,$fot(X_6)),bind(B,$fot(X_10))]]) ).

cnf(refute_0_171,plain,
    ( multiply(X_6,X_10) != divide(X_6,inverse(X_10))
    | divide(X_6,inverse(X_10)) = multiply(X_6,X_10) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_6,X_10))),bind(Y,$fot(divide(X_6,inverse(X_10))))]]) ).

cnf(refute_0_172,plain,
    divide(X_6,inverse(X_10)) = multiply(X_6,X_10),
    inference(resolve,[$cnf( $equal(multiply(X_6,X_10),divide(X_6,inverse(X_10))) )],[refute_0_170,refute_0_171]) ).

cnf(refute_0_173,plain,
    ( multiply(inverse(X_10),divide(X_6,inverse(X_10))) != X_6
    | divide(X_6,inverse(X_10)) != multiply(X_6,X_10)
    | multiply(inverse(X_10),multiply(X_6,X_10)) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),divide(X_6,inverse(X_10))),X_6) ),[0,1],$fot(multiply(X_6,X_10))]]) ).

cnf(refute_0_174,plain,
    ( multiply(inverse(X_10),divide(X_6,inverse(X_10))) != X_6
    | multiply(inverse(X_10),multiply(X_6,X_10)) = X_6 ),
    inference(resolve,[$cnf( $equal(divide(X_6,inverse(X_10)),multiply(X_6,X_10)) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    multiply(inverse(X_10),multiply(X_6,X_10)) = X_6,
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),divide(X_6,inverse(X_10))),X_6) )],[refute_0_169,refute_0_174]) ).

cnf(refute_0_176,plain,
    multiply(inverse(X_43),multiply(X_44,X_43)) = X_44,
    inference(subst,[],[refute_0_175:[bind(X_10,$fot(X_43)),bind(X_6,$fot(X_44))]]) ).

cnf(refute_0_177,plain,
    ( multiply(inverse(X_43),multiply(X_44,X_43)) != X_44
    | divide(inverse(X_43),multiply(inverse(X_43),multiply(X_44,X_43))) != inverse(multiply(X_44,X_43))
    | divide(inverse(X_43),X_44) = inverse(multiply(X_44,X_43)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_43),multiply(inverse(X_43),multiply(X_44,X_43))),inverse(multiply(X_44,X_43))) ),[0,1],$fot(X_44)]]) ).

cnf(refute_0_178,plain,
    ( divide(inverse(X_43),multiply(inverse(X_43),multiply(X_44,X_43))) != inverse(multiply(X_44,X_43))
    | divide(inverse(X_43),X_44) = inverse(multiply(X_44,X_43)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_43),multiply(X_44,X_43)),X_44) )],[refute_0_176,refute_0_177]) ).

cnf(refute_0_179,plain,
    divide(inverse(X_43),X_44) = inverse(multiply(X_44,X_43)),
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),multiply(inverse(X_43),multiply(X_44,X_43))),inverse(multiply(X_44,X_43))) )],[refute_0_168,refute_0_178]) ).

cnf(refute_0_180,plain,
    divide(X_37,multiply(X_37,divide(X_6,X_37))) = inverse(divide(X_6,X_37)),
    inference(subst,[],[refute_0_148:[bind(X_34,$fot(X_37)),bind(X_36,$fot(divide(X_6,X_37)))]]) ).

cnf(refute_0_181,plain,
    multiply(X_37,divide(X_6,X_37)) = X_6,
    inference(subst,[],[refute_0_25:[bind(X_5,$fot(X_37))]]) ).

cnf(refute_0_182,plain,
    ( multiply(X_37,divide(X_6,X_37)) != X_6
    | divide(X_37,multiply(X_37,divide(X_6,X_37))) != inverse(divide(X_6,X_37))
    | divide(X_37,X_6) = inverse(divide(X_6,X_37)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_37,multiply(X_37,divide(X_6,X_37))),inverse(divide(X_6,X_37))) ),[0,1],$fot(X_6)]]) ).

cnf(refute_0_183,plain,
    ( divide(X_37,multiply(X_37,divide(X_6,X_37))) != inverse(divide(X_6,X_37))
    | divide(X_37,X_6) = inverse(divide(X_6,X_37)) ),
    inference(resolve,[$cnf( $equal(multiply(X_37,divide(X_6,X_37)),X_6) )],[refute_0_181,refute_0_182]) ).

cnf(refute_0_184,plain,
    divide(X_37,X_6) = inverse(divide(X_6,X_37)),
    inference(resolve,[$cnf( $equal(divide(X_37,multiply(X_37,divide(X_6,X_37))),inverse(divide(X_6,X_37))) )],[refute_0_180,refute_0_183]) ).

cnf(refute_0_185,plain,
    divide(multiply(X_46,X_36),X_46) = inverse(divide(X_46,multiply(X_46,X_36))),
    inference(subst,[],[refute_0_184:[bind(X_37,$fot(multiply(X_46,X_36))),bind(X_6,$fot(X_46))]]) ).

cnf(refute_0_186,plain,
    divide(X_46,multiply(X_46,X_36)) = inverse(X_36),
    inference(subst,[],[refute_0_148:[bind(X_34,$fot(X_46))]]) ).

cnf(refute_0_187,plain,
    ( divide(X_46,multiply(X_46,X_36)) != inverse(X_36)
    | divide(multiply(X_46,X_36),X_46) != inverse(divide(X_46,multiply(X_46,X_36)))
    | divide(multiply(X_46,X_36),X_46) = inverse(inverse(X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_46,X_36),X_46),inverse(divide(X_46,multiply(X_46,X_36)))) ),[1,0],$fot(inverse(X_36))]]) ).

cnf(refute_0_188,plain,
    ( divide(multiply(X_46,X_36),X_46) != inverse(divide(X_46,multiply(X_46,X_36)))
    | divide(multiply(X_46,X_36),X_46) = inverse(inverse(X_36)) ),
    inference(resolve,[$cnf( $equal(divide(X_46,multiply(X_46,X_36)),inverse(X_36)) )],[refute_0_186,refute_0_187]) ).

cnf(refute_0_189,plain,
    divide(multiply(X_46,X_36),X_46) = inverse(inverse(X_36)),
    inference(resolve,[$cnf( $equal(divide(multiply(X_46,X_36),X_46),inverse(divide(X_46,multiply(X_46,X_36)))) )],[refute_0_185,refute_0_188]) ).

cnf(refute_0_190,plain,
    inverse(inverse(X_36)) = X_36,
    inference(subst,[],[refute_0_108:[bind(X_5,$fot(X_36))]]) ).

cnf(refute_0_191,plain,
    ( divide(multiply(X_46,X_36),X_46) != inverse(inverse(X_36))
    | inverse(inverse(X_36)) != X_36
    | divide(multiply(X_46,X_36),X_46) = X_36 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(multiply(X_46,X_36),X_46),X_36) ),[0],$fot(inverse(inverse(X_36)))]]) ).

cnf(refute_0_192,plain,
    ( divide(multiply(X_46,X_36),X_46) != inverse(inverse(X_36))
    | divide(multiply(X_46,X_36),X_46) = X_36 ),
    inference(resolve,[$cnf( $equal(inverse(inverse(X_36)),X_36) )],[refute_0_190,refute_0_191]) ).

cnf(refute_0_193,plain,
    divide(multiply(X_46,X_36),X_46) = X_36,
    inference(resolve,[$cnf( $equal(divide(multiply(X_46,X_36),X_46),inverse(inverse(X_36))) )],[refute_0_189,refute_0_192]) ).

cnf(refute_0_194,plain,
    divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)) = multiply(X_74,X_73),
    inference(subst,[],[refute_0_193:[bind(X_36,$fot(multiply(X_74,X_73))),bind(X_46,$fot(multiply(X_73,X_74)))]]) ).

cnf(refute_0_195,plain,
    divide(inverse(X_43),divide(multiply(inverse(X_43),multiply(X_44,X_43)),multiply(C,multiply(X_44,X_43)))) = C,
    inference(subst,[],[refute_0_46:[bind(A,$fot(inverse(X_43))),bind(X_10,$fot(multiply(X_44,X_43)))]]) ).

cnf(refute_0_196,plain,
    ( multiply(inverse(X_43),multiply(X_44,X_43)) != X_44
    | divide(inverse(X_43),divide(multiply(inverse(X_43),multiply(X_44,X_43)),multiply(C,multiply(X_44,X_43)))) != C
    | divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_43),divide(multiply(inverse(X_43),multiply(X_44,X_43)),multiply(C,multiply(X_44,X_43)))),C) ),[0,1,0],$fot(X_44)]]) ).

cnf(refute_0_197,plain,
    ( divide(inverse(X_43),divide(multiply(inverse(X_43),multiply(X_44,X_43)),multiply(C,multiply(X_44,X_43)))) != C
    | divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = C ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_43),multiply(X_44,X_43)),X_44) )],[refute_0_176,refute_0_196]) ).

cnf(refute_0_198,plain,
    divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = C,
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),divide(multiply(inverse(X_43),multiply(X_44,X_43)),multiply(C,multiply(X_44,X_43)))),C) )],[refute_0_195,refute_0_197]) ).

cnf(refute_0_199,plain,
    multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43) = multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))),
    inference(subst,[],[refute_0_162:[bind(X_40,$fot(divide(X_44,multiply(C,multiply(X_44,X_43))))),bind(X_5,$fot(X_43))]]) ).

cnf(refute_0_200,plain,
    inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) = inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)),
    introduced(tautology,[refl,[$fot(inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)))]]) ).

cnf(refute_0_201,plain,
    ( multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43) != multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))
    | inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) != inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43))
    | inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) = inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)),inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43))) ),[1,0],$fot(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))]]) ).

cnf(refute_0_202,plain,
    ( multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43) != multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))
    | inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) = inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)),inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) = inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))),
    inference(resolve,[$cnf( $equal(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43),multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) )],[refute_0_199,refute_0_202]) ).

cnf(refute_0_204,plain,
    divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)),
    inference(subst,[],[refute_0_179:[bind(X_44,$fot(divide(X_44,multiply(C,multiply(X_44,X_43)))))]]) ).

cnf(refute_0_205,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_206,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_205]) ).

cnf(refute_0_207,plain,
    ( divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) != inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43))
    | inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) != inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))
    | divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) ),
    inference(subst,[],[refute_0_206:[bind(X,$fot(divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))))),bind(Y,$fot(inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)))),bind(Z,$fot(inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))))]]) ).

cnf(refute_0_208,plain,
    ( inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)) != inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))
    | divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) ),
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))),inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43))) )],[refute_0_204,refute_0_207]) ).

cnf(refute_0_209,plain,
    divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) = inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))),
    inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_44,multiply(C,multiply(X_44,X_43))),X_43)),inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))) )],[refute_0_203,refute_0_208]) ).

cnf(refute_0_210,plain,
    ( divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) != C
    | divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) != inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))
    | inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) = C ),
    introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))),C) ),[0],$fot(inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))))]]) ).

cnf(refute_0_211,plain,
    ( divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))) != C
    | inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) = C ),
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))),inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43)))))) )],[refute_0_209,refute_0_210]) ).

cnf(refute_0_212,plain,
    inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) = C,
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),divide(X_44,multiply(C,multiply(X_44,X_43)))),C) )],[refute_0_198,refute_0_211]) ).

cnf(refute_0_213,plain,
    divide(inverse(divide(X_6,X_37)),X_52) = inverse(multiply(X_52,divide(X_6,X_37))),
    inference(subst,[],[refute_0_179:[bind(X_43,$fot(divide(X_6,X_37))),bind(X_44,$fot(X_52))]]) ).

cnf(refute_0_214,plain,
    ( divide(X_37,X_6) != inverse(divide(X_6,X_37))
    | inverse(divide(X_6,X_37)) = divide(X_37,X_6) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_37,X_6))),bind(Y,$fot(inverse(divide(X_6,X_37))))]]) ).

cnf(refute_0_215,plain,
    inverse(divide(X_6,X_37)) = divide(X_37,X_6),
    inference(resolve,[$cnf( $equal(divide(X_37,X_6),inverse(divide(X_6,X_37))) )],[refute_0_184,refute_0_214]) ).

cnf(refute_0_216,plain,
    ( divide(inverse(divide(X_6,X_37)),X_52) != inverse(multiply(X_52,divide(X_6,X_37)))
    | inverse(divide(X_6,X_37)) != divide(X_37,X_6)
    | divide(divide(X_37,X_6),X_52) = inverse(multiply(X_52,divide(X_6,X_37))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_6,X_37)),X_52),inverse(multiply(X_52,divide(X_6,X_37)))) ),[0,0],$fot(divide(X_37,X_6))]]) ).

cnf(refute_0_217,plain,
    ( divide(inverse(divide(X_6,X_37)),X_52) != inverse(multiply(X_52,divide(X_6,X_37)))
    | divide(divide(X_37,X_6),X_52) = inverse(multiply(X_52,divide(X_6,X_37))) ),
    inference(resolve,[$cnf( $equal(inverse(divide(X_6,X_37)),divide(X_37,X_6)) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    divide(divide(X_37,X_6),X_52) = inverse(multiply(X_52,divide(X_6,X_37))),
    inference(resolve,[$cnf( $equal(divide(inverse(divide(X_6,X_37)),X_52),inverse(multiply(X_52,divide(X_6,X_37)))) )],[refute_0_213,refute_0_217]) ).

cnf(refute_0_219,plain,
    ( divide(divide(X_37,X_6),X_52) != inverse(multiply(X_52,divide(X_6,X_37)))
    | inverse(multiply(X_52,divide(X_6,X_37))) = divide(divide(X_37,X_6),X_52) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(divide(X_37,X_6),X_52))),bind(Y,$fot(inverse(multiply(X_52,divide(X_6,X_37)))))]]) ).

cnf(refute_0_220,plain,
    inverse(multiply(X_52,divide(X_6,X_37))) = divide(divide(X_37,X_6),X_52),
    inference(resolve,[$cnf( $equal(divide(divide(X_37,X_6),X_52),inverse(multiply(X_52,divide(X_6,X_37)))) )],[refute_0_218,refute_0_219]) ).

cnf(refute_0_221,plain,
    inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) = divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43),
    inference(subst,[],[refute_0_220:[bind(X_37,$fot(multiply(C,multiply(X_44,X_43)))),bind(X_52,$fot(X_43)),bind(X_6,$fot(X_44))]]) ).

cnf(refute_0_222,plain,
    ( inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) != C
    | inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) != divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43)
    | divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) = C ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))),C) ),[0],$fot(divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43))]]) ).

cnf(refute_0_223,plain,
    ( inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))) != C
    | divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) = C ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))),divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43)) )],[refute_0_221,refute_0_222]) ).

cnf(refute_0_224,plain,
    divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) = C,
    inference(resolve,[$cnf( $equal(inverse(multiply(X_43,divide(X_44,multiply(C,multiply(X_44,X_43))))),C) )],[refute_0_212,refute_0_223]) ).

cnf(refute_0_225,plain,
    divide(A,divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5)))) = divide(divide(A,divide(X_6,X_5)),X_5),
    inference(subst,[],[single_axiom:[bind(B,$fot(divide(X_6,X_5))),bind(C,$fot(divide(divide(A,divide(X_6,X_5)),X_5)))]]) ).

cnf(refute_0_226,plain,
    divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5))) = X_6,
    inference(subst,[],[single_axiom:[bind(A,$fot(divide(A,divide(X_6,X_5)))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).

cnf(refute_0_227,plain,
    ( divide(A,divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5)))) != divide(divide(A,divide(X_6,X_5)),X_5)
    | divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5))) != X_6
    | divide(A,X_6) = divide(divide(A,divide(X_6,X_5)),X_5) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5)))),divide(divide(A,divide(X_6,X_5)),X_5)) ),[0,1],$fot(X_6)]]) ).

cnf(refute_0_228,plain,
    ( divide(A,divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5)))) != divide(divide(A,divide(X_6,X_5)),X_5)
    | divide(A,X_6) = divide(divide(A,divide(X_6,X_5)),X_5) ),
    inference(resolve,[$cnf( $equal(divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5))),X_6) )],[refute_0_226,refute_0_227]) ).

cnf(refute_0_229,plain,
    divide(A,X_6) = divide(divide(A,divide(X_6,X_5)),X_5),
    inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,divide(X_6,X_5)),divide(divide(divide(A,divide(X_6,X_5)),X_5),divide(X_6,X_5)))),divide(divide(A,divide(X_6,X_5)),X_5)) )],[refute_0_225,refute_0_228]) ).

cnf(refute_0_230,plain,
    multiply(A,divide(X_46,X_45)) = divide(A,inverse(divide(X_46,X_45))),
    inference(subst,[],[refute_0_19:[bind(B,$fot(divide(X_46,X_45)))]]) ).

cnf(refute_0_231,plain,
    divide(X_45,X_46) = inverse(divide(X_46,X_45)),
    inference(subst,[],[refute_0_184:[bind(X_37,$fot(X_45)),bind(X_6,$fot(X_46))]]) ).

cnf(refute_0_232,plain,
    ( divide(X_45,X_46) != inverse(divide(X_46,X_45))
    | inverse(divide(X_46,X_45)) = divide(X_45,X_46) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_45,X_46))),bind(Y,$fot(inverse(divide(X_46,X_45))))]]) ).

cnf(refute_0_233,plain,
    inverse(divide(X_46,X_45)) = divide(X_45,X_46),
    inference(resolve,[$cnf( $equal(divide(X_45,X_46),inverse(divide(X_46,X_45))) )],[refute_0_231,refute_0_232]) ).

cnf(refute_0_234,plain,
    ( multiply(A,divide(X_46,X_45)) != divide(A,inverse(divide(X_46,X_45)))
    | inverse(divide(X_46,X_45)) != divide(X_45,X_46)
    | multiply(A,divide(X_46,X_45)) = divide(A,divide(X_45,X_46)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(X_46,X_45)),divide(A,inverse(divide(X_46,X_45)))) ),[1,1],$fot(divide(X_45,X_46))]]) ).

cnf(refute_0_235,plain,
    ( multiply(A,divide(X_46,X_45)) != divide(A,inverse(divide(X_46,X_45)))
    | multiply(A,divide(X_46,X_45)) = divide(A,divide(X_45,X_46)) ),
    inference(resolve,[$cnf( $equal(inverse(divide(X_46,X_45)),divide(X_45,X_46)) )],[refute_0_233,refute_0_234]) ).

cnf(refute_0_236,plain,
    multiply(A,divide(X_46,X_45)) = divide(A,divide(X_45,X_46)),
    inference(resolve,[$cnf( $equal(multiply(A,divide(X_46,X_45)),divide(A,inverse(divide(X_46,X_45)))) )],[refute_0_230,refute_0_235]) ).

cnf(refute_0_237,plain,
    ( multiply(A,divide(X_46,X_45)) != divide(A,divide(X_45,X_46))
    | divide(A,divide(X_45,X_46)) = multiply(A,divide(X_46,X_45)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,divide(X_46,X_45)))),bind(Y,$fot(divide(A,divide(X_45,X_46))))]]) ).

cnf(refute_0_238,plain,
    divide(A,divide(X_45,X_46)) = multiply(A,divide(X_46,X_45)),
    inference(resolve,[$cnf( $equal(multiply(A,divide(X_46,X_45)),divide(A,divide(X_45,X_46))) )],[refute_0_236,refute_0_237]) ).

cnf(refute_0_239,plain,
    divide(A,divide(X_6,X_5)) = multiply(A,divide(X_5,X_6)),
    inference(subst,[],[refute_0_238:[bind(X_45,$fot(X_6)),bind(X_46,$fot(X_5))]]) ).

cnf(refute_0_240,plain,
    divide(divide(A,divide(X_6,X_5)),X_5) = divide(divide(A,divide(X_6,X_5)),X_5),
    introduced(tautology,[refl,[$fot(divide(divide(A,divide(X_6,X_5)),X_5))]]) ).

cnf(refute_0_241,plain,
    ( divide(A,divide(X_6,X_5)) != multiply(A,divide(X_5,X_6))
    | divide(divide(A,divide(X_6,X_5)),X_5) != divide(divide(A,divide(X_6,X_5)),X_5)
    | divide(divide(A,divide(X_6,X_5)),X_5) = divide(multiply(A,divide(X_5,X_6)),X_5) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,divide(X_6,X_5)),X_5),divide(divide(A,divide(X_6,X_5)),X_5)) ),[1,0],$fot(multiply(A,divide(X_5,X_6)))]]) ).

cnf(refute_0_242,plain,
    ( divide(A,divide(X_6,X_5)) != multiply(A,divide(X_5,X_6))
    | divide(divide(A,divide(X_6,X_5)),X_5) = divide(multiply(A,divide(X_5,X_6)),X_5) ),
    inference(resolve,[$cnf( $equal(divide(divide(A,divide(X_6,X_5)),X_5),divide(divide(A,divide(X_6,X_5)),X_5)) )],[refute_0_240,refute_0_241]) ).

cnf(refute_0_243,plain,
    divide(divide(A,divide(X_6,X_5)),X_5) = divide(multiply(A,divide(X_5,X_6)),X_5),
    inference(resolve,[$cnf( $equal(divide(A,divide(X_6,X_5)),multiply(A,divide(X_5,X_6))) )],[refute_0_239,refute_0_242]) ).

cnf(refute_0_244,plain,
    ( divide(A,X_6) != divide(divide(A,divide(X_6,X_5)),X_5)
    | divide(divide(A,divide(X_6,X_5)),X_5) != divide(multiply(A,divide(X_5,X_6)),X_5)
    | divide(A,X_6) = divide(multiply(A,divide(X_5,X_6)),X_5) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(A,X_6),divide(multiply(A,divide(X_5,X_6)),X_5)) ),[0],$fot(divide(divide(A,divide(X_6,X_5)),X_5))]]) ).

cnf(refute_0_245,plain,
    ( divide(A,X_6) != divide(divide(A,divide(X_6,X_5)),X_5)
    | divide(A,X_6) = divide(multiply(A,divide(X_5,X_6)),X_5) ),
    inference(resolve,[$cnf( $equal(divide(divide(A,divide(X_6,X_5)),X_5),divide(multiply(A,divide(X_5,X_6)),X_5)) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    divide(A,X_6) = divide(multiply(A,divide(X_5,X_6)),X_5),
    inference(resolve,[$cnf( $equal(divide(A,X_6),divide(divide(A,divide(X_6,X_5)),X_5)) )],[refute_0_229,refute_0_245]) ).

cnf(refute_0_247,plain,
    divide(X_65,multiply(X_66,X_36)) = divide(multiply(X_65,divide(X_66,multiply(X_66,X_36))),X_66),
    inference(subst,[],[refute_0_246:[bind(A,$fot(X_65)),bind(X_5,$fot(X_66)),bind(X_6,$fot(multiply(X_66,X_36)))]]) ).

cnf(refute_0_248,plain,
    divide(X_66,multiply(X_66,X_36)) = inverse(X_36),
    inference(subst,[],[refute_0_148:[bind(X_34,$fot(X_66))]]) ).

cnf(refute_0_249,plain,
    ( divide(X_65,multiply(X_66,X_36)) != divide(multiply(X_65,divide(X_66,multiply(X_66,X_36))),X_66)
    | divide(X_66,multiply(X_66,X_36)) != inverse(X_36)
    | divide(X_65,multiply(X_66,X_36)) = divide(multiply(X_65,inverse(X_36)),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_65,multiply(X_66,X_36)),divide(multiply(X_65,divide(X_66,multiply(X_66,X_36))),X_66)) ),[1,0,1],$fot(inverse(X_36))]]) ).

cnf(refute_0_250,plain,
    ( divide(X_65,multiply(X_66,X_36)) != divide(multiply(X_65,divide(X_66,multiply(X_66,X_36))),X_66)
    | divide(X_65,multiply(X_66,X_36)) = divide(multiply(X_65,inverse(X_36)),X_66) ),
    inference(resolve,[$cnf( $equal(divide(X_66,multiply(X_66,X_36)),inverse(X_36)) )],[refute_0_248,refute_0_249]) ).

cnf(refute_0_251,plain,
    divide(X_65,multiply(X_66,X_36)) = divide(multiply(X_65,inverse(X_36)),X_66),
    inference(resolve,[$cnf( $equal(divide(X_65,multiply(X_66,X_36)),divide(multiply(X_65,divide(X_66,multiply(X_66,X_36))),X_66)) )],[refute_0_247,refute_0_250]) ).

cnf(refute_0_252,plain,
    multiply(X_65,inverse(X_36)) = divide(X_65,X_36),
    inference(subst,[],[refute_0_112:[bind(A,$fot(X_65)),bind(X_23,$fot(X_36))]]) ).

cnf(refute_0_253,plain,
    divide(multiply(X_65,inverse(X_36)),X_66) = divide(multiply(X_65,inverse(X_36)),X_66),
    introduced(tautology,[refl,[$fot(divide(multiply(X_65,inverse(X_36)),X_66))]]) ).

cnf(refute_0_254,plain,
    ( multiply(X_65,inverse(X_36)) != divide(X_65,X_36)
    | divide(multiply(X_65,inverse(X_36)),X_66) != divide(multiply(X_65,inverse(X_36)),X_66)
    | divide(multiply(X_65,inverse(X_36)),X_66) = divide(divide(X_65,X_36),X_66) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_65,inverse(X_36)),X_66),divide(multiply(X_65,inverse(X_36)),X_66)) ),[1,0],$fot(divide(X_65,X_36))]]) ).

cnf(refute_0_255,plain,
    ( multiply(X_65,inverse(X_36)) != divide(X_65,X_36)
    | divide(multiply(X_65,inverse(X_36)),X_66) = divide(divide(X_65,X_36),X_66) ),
    inference(resolve,[$cnf( $equal(divide(multiply(X_65,inverse(X_36)),X_66),divide(multiply(X_65,inverse(X_36)),X_66)) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    divide(multiply(X_65,inverse(X_36)),X_66) = divide(divide(X_65,X_36),X_66),
    inference(resolve,[$cnf( $equal(multiply(X_65,inverse(X_36)),divide(X_65,X_36)) )],[refute_0_252,refute_0_255]) ).

cnf(refute_0_257,plain,
    ( divide(X_65,multiply(X_66,X_36)) != divide(multiply(X_65,inverse(X_36)),X_66)
    | divide(multiply(X_65,inverse(X_36)),X_66) != divide(divide(X_65,X_36),X_66)
    | divide(X_65,multiply(X_66,X_36)) = divide(divide(X_65,X_36),X_66) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_65,multiply(X_66,X_36)),divide(divide(X_65,X_36),X_66)) ),[0],$fot(divide(multiply(X_65,inverse(X_36)),X_66))]]) ).

cnf(refute_0_258,plain,
    ( divide(X_65,multiply(X_66,X_36)) != divide(multiply(X_65,inverse(X_36)),X_66)
    | divide(X_65,multiply(X_66,X_36)) = divide(divide(X_65,X_36),X_66) ),
    inference(resolve,[$cnf( $equal(divide(multiply(X_65,inverse(X_36)),X_66),divide(divide(X_65,X_36),X_66)) )],[refute_0_256,refute_0_257]) ).

cnf(refute_0_259,plain,
    divide(X_65,multiply(X_66,X_36)) = divide(divide(X_65,X_36),X_66),
    inference(resolve,[$cnf( $equal(divide(X_65,multiply(X_66,X_36)),divide(multiply(X_65,inverse(X_36)),X_66)) )],[refute_0_251,refute_0_258]) ).

cnf(refute_0_260,plain,
    ( divide(X_65,multiply(X_66,X_36)) != divide(divide(X_65,X_36),X_66)
    | divide(divide(X_65,X_36),X_66) = divide(X_65,multiply(X_66,X_36)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_65,multiply(X_66,X_36)))),bind(Y,$fot(divide(divide(X_65,X_36),X_66)))]]) ).

cnf(refute_0_261,plain,
    divide(divide(X_65,X_36),X_66) = divide(X_65,multiply(X_66,X_36)),
    inference(resolve,[$cnf( $equal(divide(X_65,multiply(X_66,X_36)),divide(divide(X_65,X_36),X_66)) )],[refute_0_259,refute_0_260]) ).

cnf(refute_0_262,plain,
    divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) = divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44)),
    inference(subst,[],[refute_0_261:[bind(X_36,$fot(X_44)),bind(X_65,$fot(multiply(C,multiply(X_44,X_43)))),bind(X_66,$fot(X_43))]]) ).

cnf(refute_0_263,plain,
    ( divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) != C
    | divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) != divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44))
    | divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44)) = C ),
    introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43),C) ),[0],$fot(divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44)))]]) ).

cnf(refute_0_264,plain,
    ( divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43) != C
    | divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44)) = C ),
    inference(resolve,[$cnf( $equal(divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43),divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44))) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    divide(multiply(C,multiply(X_44,X_43)),multiply(X_43,X_44)) = C,
    inference(resolve,[$cnf( $equal(divide(divide(multiply(C,multiply(X_44,X_43)),X_44),X_43),C) )],[refute_0_224,refute_0_264]) ).

cnf(refute_0_266,plain,
    divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)) = multiply(X_73,X_74),
    inference(subst,[],[refute_0_265:[bind(C,$fot(multiply(X_73,X_74))),bind(X_43,$fot(X_73)),bind(X_44,$fot(X_74))]]) ).

cnf(refute_0_267,plain,
    ( divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)) != multiply(X_73,X_74)
    | divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)) != multiply(X_74,X_73)
    | multiply(X_73,X_74) = multiply(X_74,X_73) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)),multiply(X_74,X_73)) ),[0],$fot(multiply(X_73,X_74))]]) ).

cnf(refute_0_268,plain,
    ( divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)) != multiply(X_74,X_73)
    | multiply(X_73,X_74) = multiply(X_74,X_73) ),
    inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)),multiply(X_73,X_74)) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    multiply(X_73,X_74) = multiply(X_74,X_73),
    inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_73,X_74),multiply(X_74,X_73)),multiply(X_73,X_74)),multiply(X_74,X_73)) )],[refute_0_194,refute_0_268]) ).

cnf(refute_0_270,plain,
    multiply(X_44,X_43) = multiply(X_43,X_44),
    inference(subst,[],[refute_0_269:[bind(X_73,$fot(X_44)),bind(X_74,$fot(X_43))]]) ).

cnf(refute_0_271,plain,
    ( multiply(X_44,X_43) != multiply(X_43,X_44)
    | divide(inverse(X_43),X_44) != inverse(multiply(X_44,X_43))
    | divide(inverse(X_43),X_44) = inverse(multiply(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_43),X_44),inverse(multiply(X_44,X_43))) ),[1,0],$fot(multiply(X_43,X_44))]]) ).

cnf(refute_0_272,plain,
    ( divide(inverse(X_43),X_44) != inverse(multiply(X_44,X_43))
    | divide(inverse(X_43),X_44) = inverse(multiply(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(multiply(X_44,X_43),multiply(X_43,X_44)) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    divide(inverse(X_43),X_44) = inverse(multiply(X_43,X_44)),
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),X_44),inverse(multiply(X_44,X_43))) )],[refute_0_179,refute_0_272]) ).

cnf(refute_0_274,plain,
    ( divide(inverse(X_43),X_44) != inverse(multiply(X_43,X_44))
    | divide(inverse(X_43),X_44) != inverse(multiply(X_44,X_43))
    | inverse(multiply(X_44,X_43)) = inverse(multiply(X_43,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_43),X_44),inverse(multiply(X_43,X_44))) ),[0],$fot(inverse(multiply(X_44,X_43)))]]) ).

cnf(refute_0_275,plain,
    ( divide(inverse(X_43),X_44) != inverse(multiply(X_43,X_44))
    | inverse(multiply(X_44,X_43)) = inverse(multiply(X_43,X_44)) ),
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),X_44),inverse(multiply(X_44,X_43))) )],[refute_0_179,refute_0_274]) ).

cnf(refute_0_276,plain,
    inverse(multiply(X_44,X_43)) = inverse(multiply(X_43,X_44)),
    inference(resolve,[$cnf( $equal(divide(inverse(X_43),X_44),inverse(multiply(X_43,X_44))) )],[refute_0_273,refute_0_275]) ).

cnf(refute_0_277,plain,
    inverse(multiply(X_85,X_84)) = inverse(multiply(X_84,X_85)),
    inference(subst,[],[refute_0_276:[bind(X_43,$fot(X_84)),bind(X_44,$fot(X_85))]]) ).

cnf(refute_0_278,plain,
    ( multiply(A,multiply(X_85,X_84)) != divide(A,inverse(multiply(X_85,X_84)))
    | inverse(multiply(X_85,X_84)) != inverse(multiply(X_84,X_85))
    | multiply(A,multiply(X_85,X_84)) = divide(A,inverse(multiply(X_84,X_85))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(X_85,X_84)),divide(A,inverse(multiply(X_85,X_84)))) ),[1,1],$fot(inverse(multiply(X_84,X_85)))]]) ).

cnf(refute_0_279,plain,
    ( multiply(A,multiply(X_85,X_84)) != divide(A,inverse(multiply(X_85,X_84)))
    | multiply(A,multiply(X_85,X_84)) = divide(A,inverse(multiply(X_84,X_85))) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_85,X_84)),inverse(multiply(X_84,X_85))) )],[refute_0_277,refute_0_278]) ).

cnf(refute_0_280,plain,
    multiply(A,multiply(X_85,X_84)) = divide(A,inverse(multiply(X_84,X_85))),
    inference(resolve,[$cnf( $equal(multiply(A,multiply(X_85,X_84)),divide(A,inverse(multiply(X_85,X_84)))) )],[refute_0_167,refute_0_279]) ).

cnf(refute_0_281,plain,
    divide(A,inverse(multiply(X_84,X_85))) = multiply(A,multiply(X_84,X_85)),
    inference(subst,[],[refute_0_21:[bind(B,$fot(multiply(X_84,X_85)))]]) ).

cnf(refute_0_282,plain,
    ( multiply(A,multiply(X_85,X_84)) != divide(A,inverse(multiply(X_84,X_85)))
    | divide(A,inverse(multiply(X_84,X_85))) != multiply(A,multiply(X_84,X_85))
    | multiply(A,multiply(X_85,X_84)) = multiply(A,multiply(X_84,X_85)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_85,X_84)),multiply(A,multiply(X_84,X_85))) ),[0],$fot(divide(A,inverse(multiply(X_84,X_85))))]]) ).

cnf(refute_0_283,plain,
    ( multiply(A,multiply(X_85,X_84)) != divide(A,inverse(multiply(X_84,X_85)))
    | multiply(A,multiply(X_85,X_84)) = multiply(A,multiply(X_84,X_85)) ),
    inference(resolve,[$cnf( $equal(divide(A,inverse(multiply(X_84,X_85))),multiply(A,multiply(X_84,X_85))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    multiply(A,multiply(X_85,X_84)) = multiply(A,multiply(X_84,X_85)),
    inference(resolve,[$cnf( $equal(multiply(A,multiply(X_85,X_84)),divide(A,inverse(multiply(X_84,X_85)))) )],[refute_0_280,refute_0_283]) ).

cnf(refute_0_285,plain,
    ( multiply(A,multiply(X_85,X_84)) != multiply(A,multiply(X_84,X_85))
    | multiply(A,multiply(X_84,X_85)) = multiply(A,multiply(X_85,X_84)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,multiply(X_85,X_84)))),bind(Y,$fot(multiply(A,multiply(X_84,X_85))))]]) ).

cnf(refute_0_286,plain,
    multiply(A,multiply(X_84,X_85)) = multiply(A,multiply(X_85,X_84)),
    inference(resolve,[$cnf( $equal(multiply(A,multiply(X_85,X_84)),multiply(A,multiply(X_84,X_85))) )],[refute_0_284,refute_0_285]) ).

cnf(refute_0_287,plain,
    multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
    inference(subst,[],[refute_0_286:[bind(A,$fot(a3)),bind(X_84,$fot(c3)),bind(X_85,$fot(b3))]]) ).

cnf(refute_0_288,plain,
    multiply(X_5,divide(multiply(X_65,divide(X_5,X_67)),X_5)) = multiply(X_65,divide(X_5,X_67)),
    inference(subst,[],[refute_0_25:[bind(X_6,$fot(multiply(X_65,divide(X_5,X_67))))]]) ).

cnf(refute_0_289,plain,
    divide(X_65,X_67) = divide(multiply(X_65,divide(X_5,X_67)),X_5),
    inference(subst,[],[refute_0_246:[bind(A,$fot(X_65)),bind(X_6,$fot(X_67))]]) ).

cnf(refute_0_290,plain,
    ( divide(X_65,X_67) != divide(multiply(X_65,divide(X_5,X_67)),X_5)
    | divide(multiply(X_65,divide(X_5,X_67)),X_5) = divide(X_65,X_67) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_65,X_67))),bind(Y,$fot(divide(multiply(X_65,divide(X_5,X_67)),X_5)))]]) ).

cnf(refute_0_291,plain,
    divide(multiply(X_65,divide(X_5,X_67)),X_5) = divide(X_65,X_67),
    inference(resolve,[$cnf( $equal(divide(X_65,X_67),divide(multiply(X_65,divide(X_5,X_67)),X_5)) )],[refute_0_289,refute_0_290]) ).

cnf(refute_0_292,plain,
    ( multiply(X_5,divide(multiply(X_65,divide(X_5,X_67)),X_5)) != multiply(X_65,divide(X_5,X_67))
    | divide(multiply(X_65,divide(X_5,X_67)),X_5) != divide(X_65,X_67)
    | multiply(X_5,divide(X_65,X_67)) = multiply(X_65,divide(X_5,X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,divide(multiply(X_65,divide(X_5,X_67)),X_5)),multiply(X_65,divide(X_5,X_67))) ),[0,1],$fot(divide(X_65,X_67))]]) ).

cnf(refute_0_293,plain,
    ( multiply(X_5,divide(multiply(X_65,divide(X_5,X_67)),X_5)) != multiply(X_65,divide(X_5,X_67))
    | multiply(X_5,divide(X_65,X_67)) = multiply(X_65,divide(X_5,X_67)) ),
    inference(resolve,[$cnf( $equal(divide(multiply(X_65,divide(X_5,X_67)),X_5),divide(X_65,X_67)) )],[refute_0_291,refute_0_292]) ).

cnf(refute_0_294,plain,
    multiply(X_5,divide(X_65,X_67)) = multiply(X_65,divide(X_5,X_67)),
    inference(resolve,[$cnf( $equal(multiply(X_5,divide(multiply(X_65,divide(X_5,X_67)),X_5)),multiply(X_65,divide(X_5,X_67))) )],[refute_0_288,refute_0_293]) ).

cnf(refute_0_295,plain,
    multiply(X_95,divide(X_96,inverse(B))) = multiply(X_96,divide(X_95,inverse(B))),
    inference(subst,[],[refute_0_294:[bind(X_5,$fot(X_95)),bind(X_65,$fot(X_96)),bind(X_67,$fot(inverse(B)))]]) ).

cnf(refute_0_296,plain,
    multiply(X_96,B) = divide(X_96,inverse(B)),
    inference(subst,[],[refute_0_19:[bind(A,$fot(X_96))]]) ).

cnf(refute_0_297,plain,
    ( multiply(X_96,B) != divide(X_96,inverse(B))
    | divide(X_96,inverse(B)) = multiply(X_96,B) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_96,B))),bind(Y,$fot(divide(X_96,inverse(B))))]]) ).

cnf(refute_0_298,plain,
    divide(X_96,inverse(B)) = multiply(X_96,B),
    inference(resolve,[$cnf( $equal(multiply(X_96,B),divide(X_96,inverse(B))) )],[refute_0_296,refute_0_297]) ).

cnf(refute_0_299,plain,
    ( multiply(X_95,divide(X_96,inverse(B))) != multiply(X_96,divide(X_95,inverse(B)))
    | divide(X_96,inverse(B)) != multiply(X_96,B)
    | multiply(X_95,multiply(X_96,B)) = multiply(X_96,divide(X_95,inverse(B))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,divide(X_96,inverse(B))),multiply(X_96,divide(X_95,inverse(B)))) ),[0,1],$fot(multiply(X_96,B))]]) ).

cnf(refute_0_300,plain,
    ( multiply(X_95,divide(X_96,inverse(B))) != multiply(X_96,divide(X_95,inverse(B)))
    | multiply(X_95,multiply(X_96,B)) = multiply(X_96,divide(X_95,inverse(B))) ),
    inference(resolve,[$cnf( $equal(divide(X_96,inverse(B)),multiply(X_96,B)) )],[refute_0_298,refute_0_299]) ).

cnf(refute_0_301,plain,
    multiply(X_95,multiply(X_96,B)) = multiply(X_96,divide(X_95,inverse(B))),
    inference(resolve,[$cnf( $equal(multiply(X_95,divide(X_96,inverse(B))),multiply(X_96,divide(X_95,inverse(B)))) )],[refute_0_295,refute_0_300]) ).

cnf(refute_0_302,plain,
    divide(X_95,inverse(B)) = multiply(X_95,B),
    inference(subst,[],[refute_0_21:[bind(A,$fot(X_95))]]) ).

cnf(refute_0_303,plain,
    multiply(X_96,divide(X_95,inverse(B))) = multiply(X_96,divide(X_95,inverse(B))),
    introduced(tautology,[refl,[$fot(multiply(X_96,divide(X_95,inverse(B))))]]) ).

cnf(refute_0_304,plain,
    ( multiply(X_96,divide(X_95,inverse(B))) != multiply(X_96,divide(X_95,inverse(B)))
    | divide(X_95,inverse(B)) != multiply(X_95,B)
    | multiply(X_96,divide(X_95,inverse(B))) = multiply(X_96,multiply(X_95,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_96,divide(X_95,inverse(B))),multiply(X_96,divide(X_95,inverse(B)))) ),[1,1],$fot(multiply(X_95,B))]]) ).

cnf(refute_0_305,plain,
    ( divide(X_95,inverse(B)) != multiply(X_95,B)
    | multiply(X_96,divide(X_95,inverse(B))) = multiply(X_96,multiply(X_95,B)) ),
    inference(resolve,[$cnf( $equal(multiply(X_96,divide(X_95,inverse(B))),multiply(X_96,divide(X_95,inverse(B)))) )],[refute_0_303,refute_0_304]) ).

cnf(refute_0_306,plain,
    multiply(X_96,divide(X_95,inverse(B))) = multiply(X_96,multiply(X_95,B)),
    inference(resolve,[$cnf( $equal(divide(X_95,inverse(B)),multiply(X_95,B)) )],[refute_0_302,refute_0_305]) ).

cnf(refute_0_307,plain,
    ( multiply(X_95,multiply(X_96,B)) != multiply(X_96,divide(X_95,inverse(B)))
    | multiply(X_96,divide(X_95,inverse(B))) != multiply(X_96,multiply(X_95,B))
    | multiply(X_95,multiply(X_96,B)) = multiply(X_96,multiply(X_95,B)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_95,multiply(X_96,B)),multiply(X_96,multiply(X_95,B))) ),[0],$fot(multiply(X_96,divide(X_95,inverse(B))))]]) ).

cnf(refute_0_308,plain,
    ( multiply(X_95,multiply(X_96,B)) != multiply(X_96,divide(X_95,inverse(B)))
    | multiply(X_95,multiply(X_96,B)) = multiply(X_96,multiply(X_95,B)) ),
    inference(resolve,[$cnf( $equal(multiply(X_96,divide(X_95,inverse(B))),multiply(X_96,multiply(X_95,B))) )],[refute_0_306,refute_0_307]) ).

cnf(refute_0_309,plain,
    multiply(X_95,multiply(X_96,B)) = multiply(X_96,multiply(X_95,B)),
    inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_96,B)),multiply(X_96,divide(X_95,inverse(B)))) )],[refute_0_301,refute_0_308]) ).

cnf(refute_0_310,plain,
    ( multiply(X_95,multiply(X_96,B)) != multiply(X_96,multiply(X_95,B))
    | multiply(X_96,multiply(X_95,B)) = multiply(X_95,multiply(X_96,B)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_95,multiply(X_96,B)))),bind(Y,$fot(multiply(X_96,multiply(X_95,B))))]]) ).

cnf(refute_0_311,plain,
    multiply(X_96,multiply(X_95,B)) = multiply(X_95,multiply(X_96,B)),
    inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_96,B)),multiply(X_96,multiply(X_95,B))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
    inference(subst,[],[refute_0_311:[bind(B,$fot(b3)),bind(X_95,$fot(a3)),bind(X_96,$fot(c3))]]) ).

cnf(refute_0_313,plain,
    ( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
    | multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
    | multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
    inference(subst,[],[refute_0_206:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(a3,multiply(c3,b3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).

cnf(refute_0_314,plain,
    ( multiply(a3,multiply(c3,b3)) != 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(c3,b3))) )],[refute_0_312,refute_0_313]) ).

cnf(refute_0_315,plain,
    multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_287,refute_0_314]) ).

cnf(refute_0_316,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_317,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_315,refute_0_316]) ).

cnf(refute_0_318,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_317,refute_0_166]) ).

cnf(refute_0_319,plain,
    multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
    introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).

cnf(refute_0_320,plain,
    $false,
    inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_319,refute_0_318]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 11:36:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.71  
% 0.47/0.71  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.54/0.74  
%------------------------------------------------------------------------------