TSTP Solution File: GRP591-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 10:42:41 EDT 2022
% Result : Unsatisfiable 2.13s 2.29s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 130
% Number of leaves : 251
% Syntax : Number of clauses : 973 ( 506 unt; 0 nHn; 423 RR)
% Number of literals : 1659 (1658 equ; 689 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 2716 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C ).
cnf(multiply,axiom,
multiply(A,B) = inverse(double_divide(B,A)) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A)),
inference(subst,[],[multiply:[bind(B,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_5,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(double_divide(A,inverse(C))) = multiply(inverse(C),A),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(C))),bind(B,$fot(A))]]) ).
cnf(refute_0_7,plain,
multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)))]]) ).
cnf(refute_0_8,plain,
( multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) != multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))
| inverse(double_divide(A,inverse(C))) != multiply(inverse(C),A)
| multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))) ),[1,0],$fot(multiply(inverse(C),A))]]) ).
cnf(refute_0_9,plain,
( inverse(double_divide(A,inverse(C))) != multiply(inverse(C),A)
| multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) = multiply(multiply(inverse(C),A),double_divide(A,B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,inverse(C))),multiply(inverse(C),A)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(double_divide(A,inverse(C))))),bind(B,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_12,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) != multiply(multiply(inverse(C),A),double_divide(A,B))
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) != multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))))),bind(Y,$fot(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)))),bind(Z,$fot(multiply(multiply(inverse(C),A),double_divide(A,B))))]]) ).
cnf(refute_0_15,plain,
( multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)) != multiply(multiply(inverse(C),A),double_divide(A,B))
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(multiply(inverse(C),A),double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) = multiply(multiply(inverse(C),A),double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(A,inverse(C))),double_divide(A,B)),multiply(multiply(inverse(C),A),double_divide(A,B))) )],[refute_0_10,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B))]]) ).
cnf(refute_0_18,plain,
( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B)
| inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) != multiply(multiply(inverse(C),A),double_divide(A,B))
| double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B)) ),[1,0],$fot(multiply(multiply(inverse(C),A),double_divide(A,B)))]]) ).
cnf(refute_0_19,plain,
( inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))) != multiply(multiply(inverse(C),A),double_divide(A,B))
| double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),multiply(multiply(inverse(C),A),double_divide(A,B))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != C
| double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B)
| double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),C) ),[0],$fot(double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B))]]) ).
cnf(refute_0_22,plain,
( double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) != C
| double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(multiply(multiply(inverse(C),A),double_divide(A,B)),B) = C,
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B),C) )],[single_axiom,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A) = X_4,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(A)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_25,plain,
( multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) != inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))
| double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A) != X_4
| multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))),inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_26,plain,
( multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) != inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))
| multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A),X_4) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A))),inverse(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,A)),A))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5))) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_5)),bind(X_2,$fot(multiply(multiply(inverse(C),A),double_divide(A,X_5)))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_29,plain,
double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5) = C,
inference(subst,[],[refute_0_23:[bind(B,$fot(X_5))]]) ).
cnf(refute_0_30,plain,
( multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5))) != inverse(X_7)
| double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5) != C
| multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),C)) = inverse(X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5))),inverse(X_7)) ),[0,1,1],$fot(C)]]) ).
cnf(refute_0_31,plain,
( multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5))) != inverse(X_7)
| multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),C)) = inverse(X_7) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5),C) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),C)) = inverse(X_7),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(inverse(X_7),multiply(multiply(inverse(C),A),double_divide(A,X_5))),double_divide(multiply(multiply(inverse(C),A),double_divide(A,X_5)),X_5))),inverse(X_7)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_13)))),X_25)) = inverse(X_27),
inference(subst,[],[refute_0_32:[bind(A,$fot(multiply(inverse(X_15),X_15))),bind(C,$fot(X_25)),bind(X_5,$fot(inverse(X_13))),bind(X_7,$fot(X_27))]]) ).
cnf(refute_0_34,plain,
double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))))]]) ).
cnf(refute_0_35,plain,
double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B) = X_4,
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(C,$fot(X_4))]]) ).
cnf(refute_0_36,plain,
( double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B) != C
| double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B) != X_4
| double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B),C) ),[0,0,1],$fot(X_4)]]) ).
cnf(refute_0_37,plain,
( double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B) != C
| double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B),X_4) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),double_divide(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),B)),B),C) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) = X_13,
inference(subst,[],[refute_0_38:[bind(B,$fot(inverse(X_13))),bind(C,$fot(X_13)),bind(X_2,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_40,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))) = inverse(X_15),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(X_13))),bind(X_2,$fot(X_14)),bind(X_4,$fot(X_15))]]) ).
cnf(refute_0_41,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))) != inverse(X_15)
| double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)),X_13) ),[0,0,0],$fot(inverse(X_15))]]) ).
cnf(refute_0_42,plain,
( double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),inverse(X_15)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_13),multiply(multiply(inverse(X_15),X_14),double_divide(X_14,inverse(X_13)))),X_15),inverse(X_13)),X_13) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_13)))),X_25)) != inverse(X_27)
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) != X_13
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = inverse(X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_13)))),X_25)),inverse(X_27)) ),[0,1,0,1,1],$fot(X_13)]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_13)))),X_25)) != inverse(X_27)
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_13)),X_13) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_13)))),X_25)),inverse(X_27)) )],[refute_0_33,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_16))),bind(B,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_48,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_49,plain,
( multiply(inverse(X_16),multiply(inverse(X_17),X_17)) != inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_17),X_17)),inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_50,plain,
( multiply(inverse(X_16),multiply(inverse(X_17),X_17)) != inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))
| multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(inverse(X_16),multiply(inverse(X_17),X_17)) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(X_17),X_17)),inverse(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(inverse(X_25),multiply(inverse(X_15),X_15)) = inverse(X_25),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(X_25)),bind(X_17,$fot(X_15))]]) ).
cnf(refute_0_53,plain,
multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) = multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13))]]) ).
cnf(refute_0_54,plain,
( multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) != multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)
| multiply(inverse(X_25),multiply(inverse(X_15),X_15)) != inverse(X_25)
| multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) = multiply(inverse(X_25),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) ),[1,0],$fot(inverse(X_25))]]) ).
cnf(refute_0_55,plain,
( multiply(inverse(X_25),multiply(inverse(X_15),X_15)) != inverse(X_25)
| multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) = multiply(inverse(X_25),X_13) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) = multiply(inverse(X_25),X_13),
inference(resolve,[$cnf( $equal(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),inverse(X_25)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) = multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)))]]) ).
cnf(refute_0_58,plain,
( multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) != multiply(inverse(X_25),X_13)
| multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) != multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13))
| multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) = multiply(inverse(X_27),multiply(inverse(X_25),X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13))) ),[1,1],$fot(multiply(inverse(X_25),X_13))]]) ).
cnf(refute_0_59,plain,
( multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13) != multiply(inverse(X_25),X_13)
| multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) = multiply(inverse(X_27),multiply(inverse(X_25),X_13)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) = multiply(inverse(X_27),multiply(inverse(X_25),X_13)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13),multiply(inverse(X_25),X_13)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) = multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25))]]) ).
cnf(refute_0_62,plain,
( multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) != multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)
| multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) != multiply(inverse(X_27),multiply(inverse(X_25),X_13))
| multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) = multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) ),[1,0],$fot(multiply(inverse(X_27),multiply(inverse(X_25),X_13)))]]) ).
cnf(refute_0_63,plain,
( multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)) != multiply(inverse(X_27),multiply(inverse(X_25),X_13))
| multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) = multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) = multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25),
inference(resolve,[$cnf( $equal(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),multiply(inverse(X_27),multiply(inverse(X_25),X_13))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)))]]) ).
cnf(refute_0_66,plain,
( multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) != multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) != multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25))
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)),multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25))) ),[1,1],$fot(multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25))]]) ).
cnf(refute_0_67,plain,
( multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25) != multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)),multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) = multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) != multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25))
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) != inverse(X_27)
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)) = inverse(X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)),inverse(X_27)) ),[0],$fot(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)))]]) ).
cnf(refute_0_70,plain,
( multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)) != inverse(X_27)
| multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)) = inverse(X_27) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)),multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(inverse(X_25),X_13)),X_25)) = inverse(X_27),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(multiply(inverse(X_27),multiply(multiply(inverse(X_25),multiply(inverse(X_15),X_15)),X_13)),X_25)),inverse(X_27)) )],[refute_0_46,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(inverse(X_107),multiply(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),X_108)) = inverse(multiply(inverse(X_108),X_107)),
inference(subst,[],[refute_0_71:[bind(X_13,$fot(X_107)),bind(X_25,$fot(X_108)),bind(X_27,$fot(multiply(inverse(X_108),X_107)))]]) ).
cnf(refute_0_73,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(inverse(X_17),X_17))),bind(B,$fot(inverse(X_16)))]]) ).
cnf(refute_0_74,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != C
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),C) ),[0,0,1],$fot(X_16)]]) ).
cnf(refute_0_75,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != C
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_48,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),C) )],[refute_0_73,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(inverse(C),multiply(inverse(X_17),X_17)) = inverse(C),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(C))]]) ).
cnf(refute_0_78,plain,
multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16))]]) ).
cnf(refute_0_79,plain,
( multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16)
| multiply(inverse(C),multiply(inverse(X_17),X_17)) != inverse(C)
| multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(C),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16)) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_80,plain,
( multiply(inverse(C),multiply(inverse(X_17),X_17)) != inverse(C)
| multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(C),X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(C),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(inverse(X_17),X_17)),inverse(C)) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)))]]) ).
cnf(refute_0_83,plain,
( multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(C),X_16)
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(C),X_16),inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) ),[1,0],$fot(multiply(inverse(C),X_16))]]) ).
cnf(refute_0_84,plain,
( multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(C),X_16)
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(C),X_16),inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(inverse(C),X_16),inverse(X_16)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),multiply(inverse(C),X_16)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != C
| double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(inverse(C),X_16),inverse(X_16))
| double_divide(multiply(inverse(C),X_16),inverse(X_16)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),C) ),[0],$fot(double_divide(multiply(inverse(C),X_16),inverse(X_16)))]]) ).
cnf(refute_0_87,plain,
( double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != C
| double_divide(multiply(inverse(C),X_16),inverse(X_16)) = C ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(inverse(C),X_16),inverse(X_16))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(multiply(inverse(C),X_16),inverse(X_16)) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),C) )],[refute_0_76,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))) = X_53,
inference(subst,[],[refute_0_88:[bind(C,$fot(X_53)),bind(X_16,$fot(inverse(multiply(inverse(X_19),X_19))))]]) ).
cnf(refute_0_90,plain,
multiply(inverse(X_16),multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19))) = inverse(X_16),
inference(subst,[],[refute_0_51:[bind(X_17,$fot(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_91,plain,
multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)) = inverse(multiply(inverse(X_19),X_19)),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(multiply(inverse(X_19),X_19))),bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_92,plain,
( multiply(inverse(X_16),multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19))) != inverse(X_16)
| multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)) != inverse(multiply(inverse(X_19),X_19))
| multiply(inverse(X_16),inverse(multiply(inverse(X_19),X_19))) = inverse(X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19))),inverse(X_16)) ),[0,1],$fot(inverse(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_93,plain,
( multiply(inverse(X_16),multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19))) != inverse(X_16)
| multiply(inverse(X_16),inverse(multiply(inverse(X_19),X_19))) = inverse(X_16) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_19),X_19))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(inverse(X_16),inverse(multiply(inverse(X_19),X_19))) = inverse(X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19))),inverse(X_16)) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))) = inverse(X_53),
inference(subst,[],[refute_0_94:[bind(X_16,$fot(X_53))]]) ).
cnf(refute_0_96,plain,
( multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))) != inverse(X_53)
| double_divide(multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))) != X_53
| double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))),X_53) ),[0,0],$fot(inverse(X_53))]]) ).
cnf(refute_0_97,plain,
( double_divide(multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))) != X_53
| double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))),inverse(X_53)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = X_53,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_53),inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))),X_53) )],[refute_0_89,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(X_13)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_100,plain,
( multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)) != inverse(multiply(inverse(X_19),X_19))
| double_divide(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(X_13)) != X_13
| double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(X_13)),X_13) ),[0,0],$fot(inverse(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_101,plain,
( double_divide(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(X_13)) != X_13
| double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_19),X_19))) )],[refute_0_91,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)),inverse(X_13)),X_13) )],[refute_0_99,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))) = inverse(multiply(inverse(X_57),X_57)),
inference(subst,[],[refute_0_102:[bind(X_13,$fot(inverse(multiply(inverse(X_57),X_57))))]]) ).
cnf(refute_0_104,plain,
double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))) = multiply(inverse(X_19),X_19),
inference(subst,[],[refute_0_98:[bind(X_19,$fot(X_57)),bind(X_53,$fot(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_105,plain,
( double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))) != multiply(inverse(X_19),X_19)
| double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))) != inverse(multiply(inverse(X_57),X_57))
| multiply(inverse(X_19),X_19) = inverse(multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))),inverse(multiply(inverse(X_57),X_57))) ),[0],$fot(multiply(inverse(X_19),X_19))]]) ).
cnf(refute_0_106,plain,
( double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))) != inverse(multiply(inverse(X_57),X_57))
| multiply(inverse(X_19),X_19) = inverse(multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))),multiply(inverse(X_19),X_19)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(inverse(X_19),X_19) = inverse(multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(inverse(multiply(inverse(X_57),X_57)))),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
( multiply(inverse(X_19),X_19) != inverse(multiply(inverse(X_57),X_57))
| inverse(multiply(inverse(X_57),X_57)) = multiply(inverse(X_19),X_19) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_19),X_19))),bind(Y,$fot(inverse(multiply(inverse(X_57),X_57))))]]) ).
cnf(refute_0_109,plain,
inverse(multiply(inverse(X_57),X_57)) = multiply(inverse(X_19),X_19),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),X_19),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
inverse(multiply(inverse(X_19),X_19)) = multiply(inverse(X_19),X_19),
inference(subst,[],[refute_0_109:[bind(X_57,$fot(X_19))]]) ).
cnf(refute_0_111,plain,
inverse(inverse(multiply(inverse(X_19),X_19))) = inverse(inverse(multiply(inverse(X_19),X_19))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(inverse(X_19),X_19))))]]) ).
cnf(refute_0_112,plain,
( inverse(multiply(inverse(X_19),X_19)) != multiply(inverse(X_19),X_19)
| inverse(inverse(multiply(inverse(X_19),X_19))) != inverse(inverse(multiply(inverse(X_19),X_19)))
| inverse(inverse(multiply(inverse(X_19),X_19))) = inverse(multiply(inverse(X_19),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))) ),[1,0],$fot(multiply(inverse(X_19),X_19))]]) ).
cnf(refute_0_113,plain,
( inverse(multiply(inverse(X_19),X_19)) != multiply(inverse(X_19),X_19)
| inverse(inverse(multiply(inverse(X_19),X_19))) = inverse(multiply(inverse(X_19),X_19)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_19),X_19))),inverse(inverse(multiply(inverse(X_19),X_19)))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
inverse(inverse(multiply(inverse(X_19),X_19))) = inverse(multiply(inverse(X_19),X_19)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( inverse(multiply(inverse(X_19),X_19)) != multiply(inverse(X_19),X_19)
| inverse(inverse(multiply(inverse(X_19),X_19))) != inverse(multiply(inverse(X_19),X_19))
| inverse(inverse(multiply(inverse(X_19),X_19))) = multiply(inverse(X_19),X_19) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(inverse(multiply(inverse(X_19),X_19))))),bind(Y,$fot(inverse(multiply(inverse(X_19),X_19)))),bind(Z,$fot(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_116,plain,
( inverse(multiply(inverse(X_19),X_19)) != multiply(inverse(X_19),X_19)
| inverse(inverse(multiply(inverse(X_19),X_19))) = multiply(inverse(X_19),X_19) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_19),X_19))),inverse(multiply(inverse(X_19),X_19))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
inverse(inverse(multiply(inverse(X_19),X_19))) = multiply(inverse(X_19),X_19),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_19),X_19)),multiply(inverse(X_19),X_19)) )],[refute_0_110,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))))]]) ).
cnf(refute_0_119,plain,
( double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) != double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19))))
| inverse(inverse(multiply(inverse(X_19),X_19))) != multiply(inverse(X_19),X_19)
| double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = double_divide(inverse(X_53),multiply(inverse(X_19),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))),double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19))))) ),[1,1],$fot(multiply(inverse(X_19),X_19))]]) ).
cnf(refute_0_120,plain,
( inverse(inverse(multiply(inverse(X_19),X_19))) != multiply(inverse(X_19),X_19)
| double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = double_divide(inverse(X_53),multiply(inverse(X_19),X_19)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))),double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) = double_divide(inverse(X_53),multiply(inverse(X_19),X_19)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_19),X_19))),multiply(inverse(X_19),X_19)) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) != X_53
| double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) != double_divide(inverse(X_53),multiply(inverse(X_19),X_19))
| double_divide(inverse(X_53),multiply(inverse(X_19),X_19)) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))),X_53) ),[0],$fot(double_divide(inverse(X_53),multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_123,plain,
( double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))) != X_53
| double_divide(inverse(X_53),multiply(inverse(X_19),X_19)) = X_53 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))),double_divide(inverse(X_53),multiply(inverse(X_19),X_19))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(inverse(X_53),multiply(inverse(X_19),X_19)) = X_53,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_53),inverse(inverse(multiply(inverse(X_19),X_19)))),X_53) )],[refute_0_98,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_19),X_19)) = multiply(inverse(X_67),X_67),
inference(subst,[],[refute_0_124:[bind(X_53,$fot(multiply(inverse(X_67),X_67)))]]) ).
cnf(refute_0_126,plain,
double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_32)) = X_32,
inference(subst,[],[refute_0_102:[bind(X_13,$fot(X_32)),bind(X_19,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_127,plain,
multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_32)) != X_32
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_32)),X_32) ),[0,0,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_129,plain,
( double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_32)) != X_32
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = X_32,
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17))),inverse(X_32)),X_32) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))) = multiply(inverse(X_55),X_55),
inference(subst,[],[refute_0_130:[bind(X_32,$fot(multiply(inverse(X_55),X_55)))]]) ).
cnf(refute_0_132,plain,
double_divide(multiply(inverse(X_53),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) = X_53,
inference(subst,[],[refute_0_88:[bind(C,$fot(X_53)),bind(X_16,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_133,plain,
multiply(inverse(X_53),multiply(inverse(X_17),X_17)) = inverse(X_53),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(X_53))]]) ).
cnf(refute_0_134,plain,
( multiply(inverse(X_53),multiply(inverse(X_17),X_17)) != inverse(X_53)
| double_divide(multiply(inverse(X_53),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) != X_53
| double_divide(inverse(X_53),inverse(multiply(inverse(X_17),X_17))) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_53),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))),X_53) ),[0,0],$fot(inverse(X_53))]]) ).
cnf(refute_0_135,plain,
( double_divide(multiply(inverse(X_53),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) != X_53
| double_divide(inverse(X_53),inverse(multiply(inverse(X_17),X_17))) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_53),multiply(inverse(X_17),X_17)),inverse(X_53)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(inverse(X_53),inverse(multiply(inverse(X_17),X_17))) = X_53,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_53),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))),X_53) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_136:[bind(X_17,$fot(X_55)),bind(X_53,$fot(inverse(multiply(inverse(X_17),X_17))))]]) ).
cnf(refute_0_138,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_55),X_55)
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))) != inverse(multiply(inverse(X_17),X_17))
| inverse(multiply(inverse(X_17),X_17)) = multiply(inverse(X_55),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_55),X_55)) ),[0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_139,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_55),X_55)
| inverse(multiply(inverse(X_17),X_17)) = multiply(inverse(X_55),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(multiply(inverse(X_17),X_17)) = multiply(inverse(X_55),X_55),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_55),X_55)) )],[refute_0_131,refute_0_139]) ).
cnf(refute_0_141,plain,
inverse(multiply(inverse(X_67),X_67)) = multiply(inverse(X_68),X_68),
inference(subst,[],[refute_0_140:[bind(X_17,$fot(X_67)),bind(X_55,$fot(X_68))]]) ).
cnf(refute_0_142,plain,
( double_divide(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_19),X_19)) != multiply(inverse(X_67),X_67)
| inverse(multiply(inverse(X_67),X_67)) != multiply(inverse(X_68),X_68)
| double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) = multiply(inverse(X_67),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_19),X_19)),multiply(inverse(X_67),X_67)) ),[0,0],$fot(multiply(inverse(X_68),X_68))]]) ).
cnf(refute_0_143,plain,
( double_divide(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_19),X_19)) != multiply(inverse(X_67),X_67)
| double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) = multiply(inverse(X_67),X_67) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_68),X_68)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) = multiply(inverse(X_67),X_67),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_19),X_19)),multiply(inverse(X_67),X_67)) )],[refute_0_125,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(inverse(double_divide(B,A)),inverse(multiply(inverse(X_55),X_55))) = double_divide(B,A),
inference(subst,[],[refute_0_136:[bind(X_17,$fot(X_55)),bind(X_53,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_146,plain,
( double_divide(inverse(double_divide(B,A)),inverse(multiply(inverse(X_55),X_55))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(multiply(inverse(X_55),X_55))),double_divide(B,A)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_147,plain,
( double_divide(inverse(double_divide(B,A)),inverse(multiply(inverse(X_55),X_55))) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_146]) ).
cnf(refute_0_148,plain,
double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(multiply(inverse(X_55),X_55))),double_divide(B,A)) )],[refute_0_145,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(multiply(inverse(X_55),X_55)) = multiply(inverse(X_55),X_55),
inference(subst,[],[refute_0_140:[bind(X_17,$fot(X_55))]]) ).
cnf(refute_0_150,plain,
double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))),
introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))))]]) ).
cnf(refute_0_151,plain,
( double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) != double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55)))
| inverse(multiply(inverse(X_55),X_55)) != multiply(inverse(X_55),X_55)
| double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(multiply(A,B),multiply(inverse(X_55),X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55)))) ),[1,1],$fot(multiply(inverse(X_55),X_55))]]) ).
cnf(refute_0_152,plain,
( inverse(multiply(inverse(X_55),X_55)) != multiply(inverse(X_55),X_55)
| double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(multiply(A,B),multiply(inverse(X_55),X_55)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) = double_divide(multiply(A,B),multiply(inverse(X_55),X_55)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_55),X_55)),multiply(inverse(X_55),X_55)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) != double_divide(multiply(A,B),multiply(inverse(X_55),X_55))
| double_divide(multiply(A,B),multiply(inverse(X_55),X_55)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))),double_divide(B,A)) ),[0],$fot(double_divide(multiply(A,B),multiply(inverse(X_55),X_55)))]]) ).
cnf(refute_0_155,plain,
( double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))) != double_divide(B,A)
| double_divide(multiply(A,B),multiply(inverse(X_55),X_55)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))),double_divide(multiply(A,B),multiply(inverse(X_55),X_55))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
double_divide(multiply(A,B),multiply(inverse(X_55),X_55)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(multiply(inverse(X_55),X_55))),double_divide(B,A)) )],[refute_0_148,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) = double_divide(X_68,inverse(X_68)),
inference(subst,[],[refute_0_156:[bind(A,$fot(inverse(X_68))),bind(B,$fot(X_68)),bind(X_55,$fot(X_19))]]) ).
cnf(refute_0_158,plain,
( double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) != multiply(inverse(X_67),X_67)
| double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) != double_divide(X_68,inverse(X_68))
| double_divide(X_68,inverse(X_68)) = multiply(inverse(X_67),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)),multiply(inverse(X_67),X_67)) ),[0],$fot(double_divide(X_68,inverse(X_68)))]]) ).
cnf(refute_0_159,plain,
( double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)) != multiply(inverse(X_67),X_67)
| double_divide(X_68,inverse(X_68)) = multiply(inverse(X_67),X_67) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)),double_divide(X_68,inverse(X_68))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
double_divide(X_68,inverse(X_68)) = multiply(inverse(X_67),X_67),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_68),X_68),multiply(inverse(X_19),X_19)),multiply(inverse(X_67),X_67)) )],[refute_0_144,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(A,inverse(X_97)) = inverse(double_divide(inverse(X_97),A)),
inference(subst,[],[multiply:[bind(B,$fot(inverse(X_97)))]]) ).
cnf(refute_0_162,plain,
double_divide(multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)),inverse(inverse(X_96))) = multiply(inverse(X_96),X_95),
inference(subst,[],[refute_0_88:[bind(C,$fot(multiply(inverse(X_96),X_95))),bind(X_16,$fot(inverse(X_96)))]]) ).
cnf(refute_0_163,plain,
multiply(A,multiply(multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(X_2,$fot(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))))]]) ).
cnf(refute_0_164,plain,
multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(X_4))),bind(X_2,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_165,plain,
( multiply(A,multiply(multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))) != inverse(X_4)
| multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))) != inverse(X_7)
| multiply(A,multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))),inverse(X_4)) ),[0,1,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_166,plain,
( multiply(A,multiply(multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))) != inverse(X_4)
| multiply(A,multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))),inverse(X_7)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(A,multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_4),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(X_4))),A))),inverse(X_4)) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28))) = inverse(X_29),
inference(subst,[],[refute_0_167:[bind(A,$fot(X_28)),bind(X_4,$fot(X_29)),bind(X_6,$fot(multiply(inverse(X_15),X_15))),bind(X_7,$fot(X_31))]]) ).
cnf(refute_0_169,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_29)) = X_29,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_29))]]) ).
cnf(refute_0_170,plain,
( multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28))) != inverse(X_29)
| double_divide(multiply(inverse(X_15),X_15),inverse(X_29)) != X_29
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = inverse(X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28))),inverse(X_29)) ),[0,1,1,0,1],$fot(X_29)]]) ).
cnf(refute_0_171,plain,
( multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28))) != inverse(X_29)
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = inverse(X_29) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_29)),X_29) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = inverse(X_29),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),double_divide(multiply(inverse(X_15),X_15),inverse(X_29))),X_28))),inverse(X_29)) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(inverse(X_31),multiply(inverse(X_15),X_15)) = inverse(X_31),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(X_31)),bind(X_17,$fot(X_15))]]) ).
cnf(refute_0_174,plain,
multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29))]]) ).
cnf(refute_0_175,plain,
( multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) != multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29)
| multiply(inverse(X_31),multiply(inverse(X_15),X_15)) != inverse(X_31)
| multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(inverse(X_31),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29)) ),[1,0],$fot(inverse(X_31))]]) ).
cnf(refute_0_176,plain,
( multiply(inverse(X_31),multiply(inverse(X_15),X_15)) != inverse(X_31)
| multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(inverse(X_31),X_29) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) = multiply(inverse(X_31),X_29),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),inverse(X_31)) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))]]) ).
cnf(refute_0_179,plain,
( multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) != multiply(inverse(X_31),X_29)
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) != double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(inverse(X_31),X_29),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) ),[1,0],$fot(multiply(inverse(X_31),X_29))]]) ).
cnf(refute_0_180,plain,
( multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29) != multiply(inverse(X_31),X_29)
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(inverse(X_31),X_29),X_28) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) = double_divide(multiply(inverse(X_31),X_29),X_28),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),multiply(inverse(X_31),X_29)) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)))]]) ).
cnf(refute_0_183,plain,
( multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) != multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))
| double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) != double_divide(multiply(inverse(X_31),X_29),X_28)
| multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) ),[1,1],$fot(double_divide(multiply(inverse(X_31),X_29),X_28))]]) ).
cnf(refute_0_184,plain,
( double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28) != double_divide(multiply(inverse(X_31),X_29),X_28)
| multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) = multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28),double_divide(multiply(inverse(X_31),X_29),X_28)) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))),
introduced(tautology,[refl,[$fot(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))))]]) ).
cnf(refute_0_187,plain,
( multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) != multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)))
| multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) != multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))),multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)))) ),[1,1],$fot(multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)))]]) ).
cnf(refute_0_188,plain,
( multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)) != multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) ),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))),multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) = multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28)),multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) != multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)))
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) != inverse(X_29)
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) = inverse(X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))),inverse(X_29)) ),[0],$fot(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))))]]) ).
cnf(refute_0_191,plain,
( multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))) != inverse(X_29)
| multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) = inverse(X_29) ),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))),multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28)))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(X_28,multiply(inverse(X_31),double_divide(multiply(inverse(X_31),X_29),X_28))) = inverse(X_29),
inference(resolve,[$cnf( $equal(multiply(X_28,multiply(inverse(X_31),double_divide(multiply(multiply(inverse(X_31),multiply(inverse(X_15),X_15)),X_29),X_28))),inverse(X_29)) )],[refute_0_172,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))))) = inverse(X_89),
inference(subst,[],[refute_0_192:[bind(X_28,$fot(inverse(multiply(inverse(X_90),X_89)))),bind(X_29,$fot(X_89)),bind(X_31,$fot(X_90))]]) ).
cnf(refute_0_194,plain,
double_divide(inverse(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)))),inverse(X_35)) = X_35,
inference(subst,[],[refute_0_130:[bind(X_17,$fot(multiply(inverse(X_17),X_17))),bind(X_32,$fot(X_35))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)))),inverse(X_35)) != X_35
| double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(X_35)) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)))),inverse(X_35)),X_35) ),[0,0,0,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_196,plain,
( double_divide(inverse(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)))),inverse(X_35)) != X_35
| double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(X_35)) = X_35 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_127,refute_0_195]) ).
cnf(refute_0_197,plain,
double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(X_35)) = X_35,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_17),X_17)))),inverse(X_35)),X_35) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))) = inverse(multiply(inverse(X_57),X_57)),
inference(subst,[],[refute_0_197:[bind(X_35,$fot(inverse(multiply(inverse(X_57),X_57))))]]) ).
cnf(refute_0_199,plain,
double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))) = inverse(inverse(multiply(inverse(X_17),X_17))),
inference(subst,[],[refute_0_98:[bind(X_19,$fot(X_57)),bind(X_53,$fot(inverse(inverse(multiply(inverse(X_17),X_17)))))]]) ).
cnf(refute_0_200,plain,
( double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))) != inverse(multiply(inverse(X_57),X_57))
| double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))) != inverse(inverse(multiply(inverse(X_17),X_17)))
| inverse(inverse(multiply(inverse(X_17),X_17))) = inverse(multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))),inverse(multiply(inverse(X_57),X_57))) ),[0],$fot(inverse(inverse(multiply(inverse(X_17),X_17))))]]) ).
cnf(refute_0_201,plain,
( double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))) != inverse(multiply(inverse(X_57),X_57))
| inverse(inverse(multiply(inverse(X_17),X_17))) = inverse(multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))),inverse(inverse(multiply(inverse(X_17),X_17)))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
inverse(inverse(multiply(inverse(X_17),X_17))) = inverse(multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(multiply(inverse(X_17),X_17)))),inverse(inverse(multiply(inverse(X_57),X_57)))),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))) = inverse(inverse(multiply(inverse(X_63),X_63))),
inference(subst,[],[refute_0_130:[bind(X_32,$fot(inverse(inverse(multiply(inverse(X_63),X_63)))))]]) ).
cnf(refute_0_204,plain,
double_divide(multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))) = X_53,
inference(subst,[],[refute_0_88:[bind(C,$fot(X_53)),bind(X_16,$fot(inverse(inverse(multiply(inverse(X_34),X_34)))))]]) ).
cnf(refute_0_205,plain,
multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))) = inverse(double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_35))),bind(B,$fot(inverse(inverse(multiply(inverse(X_34),X_34)))))]]) ).
cnf(refute_0_206,plain,
double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)) = X_35,
inference(subst,[],[refute_0_130:[bind(X_17,$fot(X_34)),bind(X_32,$fot(X_35))]]) ).
cnf(refute_0_207,plain,
( multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))) != inverse(double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)))
| double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)) != X_35
| multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))) = inverse(X_35) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)))) ),[1,0],$fot(X_35)]]) ).
cnf(refute_0_208,plain,
( multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))) != inverse(double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)))
| multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))) = inverse(X_35) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)),X_35) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))) = inverse(X_35),
inference(resolve,[$cnf( $equal(multiply(inverse(X_35),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(double_divide(inverse(inverse(multiply(inverse(X_34),X_34))),inverse(X_35)))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))) = inverse(X_53),
inference(subst,[],[refute_0_209:[bind(X_35,$fot(X_53))]]) ).
cnf(refute_0_211,plain,
( multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))) != inverse(X_53)
| double_divide(multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))) != X_53
| double_divide(inverse(X_53),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))),X_53) ),[0,0],$fot(inverse(X_53))]]) ).
cnf(refute_0_212,plain,
( double_divide(multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))) != X_53
| double_divide(inverse(X_53),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(X_53)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
double_divide(inverse(X_53),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))) = X_53,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_53),inverse(inverse(multiply(inverse(X_34),X_34)))),inverse(inverse(inverse(multiply(inverse(X_34),X_34))))),X_53) )],[refute_0_204,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_213:[bind(X_34,$fot(X_63)),bind(X_53,$fot(inverse(multiply(inverse(X_17),X_17))))]]) ).
cnf(refute_0_215,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))) != inverse(inverse(multiply(inverse(X_63),X_63)))
| inverse(multiply(inverse(X_17),X_17)) = inverse(inverse(multiply(inverse(X_63),X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))),inverse(inverse(multiply(inverse(X_63),X_63)))) ),[0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_216,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))) != inverse(inverse(multiply(inverse(X_63),X_63)))
| inverse(multiply(inverse(X_17),X_17)) = inverse(inverse(multiply(inverse(X_63),X_63))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
inverse(multiply(inverse(X_17),X_17)) = inverse(inverse(multiply(inverse(X_63),X_63))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(inverse(inverse(multiply(inverse(X_63),X_63))))),inverse(inverse(multiply(inverse(X_63),X_63)))) )],[refute_0_203,refute_0_216]) ).
cnf(refute_0_218,plain,
( inverse(multiply(inverse(X_17),X_17)) != inverse(inverse(multiply(inverse(X_63),X_63)))
| inverse(inverse(multiply(inverse(X_63),X_63))) = inverse(multiply(inverse(X_17),X_17)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(multiply(inverse(X_17),X_17)))),bind(Y,$fot(inverse(inverse(multiply(inverse(X_63),X_63)))))]]) ).
cnf(refute_0_219,plain,
inverse(inverse(multiply(inverse(X_63),X_63))) = inverse(multiply(inverse(X_17),X_17)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),inverse(inverse(multiply(inverse(X_63),X_63)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
inverse(inverse(multiply(inverse(X_17),X_17))) = inverse(multiply(inverse(X_17),X_17)),
inference(subst,[],[refute_0_219:[bind(X_63,$fot(X_17))]]) ).
cnf(refute_0_221,plain,
( inverse(inverse(multiply(inverse(X_17),X_17))) != inverse(multiply(inverse(X_17),X_17))
| inverse(inverse(multiply(inverse(X_17),X_17))) != inverse(multiply(inverse(X_57),X_57))
| inverse(multiply(inverse(X_17),X_17)) = inverse(multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_57),X_57))) ),[0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_222,plain,
( inverse(inverse(multiply(inverse(X_17),X_17))) != inverse(multiply(inverse(X_57),X_57))
| inverse(multiply(inverse(X_17),X_17)) = inverse(multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(multiply(inverse(X_17),X_17)) = inverse(multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_202,refute_0_222]) ).
cnf(refute_0_224,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))) = double_divide(B,A),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(double_divide(B,A))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_225,plain,
( double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_17),X_17),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))),double_divide(B,A)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_226,plain,
( double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))) != double_divide(B,A)
| double_divide(multiply(inverse(X_17),X_17),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_225]) ).
cnf(refute_0_227,plain,
double_divide(multiply(inverse(X_17),X_17),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(double_divide(B,A))),double_divide(B,A)) )],[refute_0_224,refute_0_226]) ).
cnf(refute_0_228,plain,
double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)) = double_divide(B,inverse(B)),
inference(subst,[],[refute_0_227:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_229,plain,
inverse(multiply(inverse(X_67),X_67)) = multiply(inverse(B),B),
inference(subst,[],[refute_0_140:[bind(X_17,$fot(X_67)),bind(X_55,$fot(B))]]) ).
cnf(refute_0_230,plain,
( inverse(multiply(inverse(X_67),X_67)) != multiply(inverse(B),B)
| multiply(inverse(B),B) = inverse(multiply(inverse(X_67),X_67)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(multiply(inverse(X_67),X_67)))),bind(Y,$fot(multiply(inverse(B),B)))]]) ).
cnf(refute_0_231,plain,
multiply(inverse(B),B) = inverse(multiply(inverse(X_67),X_67)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(B),B)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiply(inverse(B),B) != inverse(multiply(inverse(X_67),X_67))
| double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)) != double_divide(B,inverse(B))
| double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) = double_divide(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)),double_divide(B,inverse(B))) ),[0,1],$fot(inverse(multiply(inverse(X_67),X_67)))]]) ).
cnf(refute_0_233,plain,
( double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)) != double_divide(B,inverse(B))
| double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) = double_divide(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(multiply(inverse(X_67),X_67))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) = double_divide(B,inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),multiply(inverse(B),B)),double_divide(B,inverse(B))) )],[refute_0_228,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(inverse(double_divide(B,A)),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(B,A),
inference(subst,[],[refute_0_98:[bind(X_19,$fot(X_57)),bind(X_53,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_236,plain,
( double_divide(inverse(double_divide(B,A)),inverse(inverse(multiply(inverse(X_57),X_57)))) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(B,A)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_237,plain,
( double_divide(inverse(double_divide(B,A)),inverse(inverse(multiply(inverse(X_57),X_57)))) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_236]) ).
cnf(refute_0_238,plain,
double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(B,A)) )],[refute_0_235,refute_0_237]) ).
cnf(refute_0_239,plain,
inverse(inverse(multiply(inverse(X_57),X_57))) = inverse(multiply(inverse(X_57),X_57)),
inference(subst,[],[refute_0_202:[bind(X_17,$fot(X_57))]]) ).
cnf(refute_0_240,plain,
double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))),
introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))))]]) ).
cnf(refute_0_241,plain,
( double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) != double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57))))
| inverse(inverse(multiply(inverse(X_57),X_57))) != inverse(multiply(inverse(X_57),X_57))
| double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57))))) ),[1,1],$fot(inverse(multiply(inverse(X_57),X_57)))]]) ).
cnf(refute_0_242,plain,
( inverse(inverse(multiply(inverse(X_57),X_57))) != inverse(multiply(inverse(X_57),X_57))
| double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57))))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) = double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_57),X_57))),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) != double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57)))
| double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(B,A)) ),[0],$fot(double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))))]]) ).
cnf(refute_0_245,plain,
( double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(multiply(A,B),inverse(multiply(inverse(X_57),X_57))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(inverse(multiply(inverse(X_57),X_57)))),double_divide(B,A)) )],[refute_0_238,refute_0_245]) ).
cnf(refute_0_247,plain,
double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) = double_divide(X_17,inverse(X_17)),
inference(subst,[],[refute_0_246:[bind(A,$fot(inverse(X_17))),bind(B,$fot(X_17)),bind(X_57,$fot(X_67))]]) ).
cnf(refute_0_248,plain,
( double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) != double_divide(B,inverse(B))
| double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) != double_divide(X_17,inverse(X_17))
| double_divide(X_17,inverse(X_17)) = double_divide(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))),double_divide(B,inverse(B))) ),[0],$fot(double_divide(X_17,inverse(X_17)))]]) ).
cnf(refute_0_249,plain,
( double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))) != double_divide(B,inverse(B))
| double_divide(X_17,inverse(X_17)) = double_divide(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))),double_divide(X_17,inverse(X_17))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(X_17,inverse(X_17)) = double_divide(B,inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(multiply(inverse(X_67),X_67))),double_divide(B,inverse(B))) )],[refute_0_234,refute_0_249]) ).
cnf(refute_0_251,plain,
double_divide(X_17,inverse(X_17)) = double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),inverse(inverse(inverse(multiply(inverse(X_77),X_77))))),
inference(subst,[],[refute_0_250:[bind(B,$fot(inverse(inverse(multiply(inverse(X_77),X_77)))))]]) ).
cnf(refute_0_252,plain,
double_divide(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)) = X_32,
inference(subst,[],[refute_0_130:[bind(X_17,$fot(inverse(multiply(inverse(X_46),X_46))))]]) ).
cnf(refute_0_253,plain,
multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))) = inverse(inverse(multiply(inverse(X_46),X_46))),
inference(subst,[],[refute_0_94:[bind(X_16,$fot(inverse(multiply(inverse(X_46),X_46)))),bind(X_19,$fot(X_46))]]) ).
cnf(refute_0_254,plain,
( multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))) != inverse(inverse(multiply(inverse(X_46),X_46)))
| double_divide(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)) != X_32
| double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)),X_32) ),[0,0,0,0],$fot(inverse(inverse(multiply(inverse(X_46),X_46))))]]) ).
cnf(refute_0_255,plain,
( double_divide(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)) != X_32
| double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))),inverse(inverse(multiply(inverse(X_46),X_46)))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)) = X_32,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X_46),X_46))),inverse(multiply(inverse(X_46),X_46))))),inverse(X_32)),X_32) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))) = multiply(inverse(X_55),X_55),
inference(subst,[],[refute_0_256:[bind(X_32,$fot(multiply(inverse(X_55),X_55)))]]) ).
cnf(refute_0_258,plain,
double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))) = inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),
inference(subst,[],[refute_0_136:[bind(X_17,$fot(X_55)),bind(X_53,$fot(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))))]]) ).
cnf(refute_0_259,plain,
( double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_55),X_55)
| double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))) != inverse(inverse(inverse(multiply(inverse(X_46),X_46))))
| inverse(inverse(inverse(multiply(inverse(X_46),X_46)))) = multiply(inverse(X_55),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_55),X_55)) ),[0],$fot(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))))]]) ).
cnf(refute_0_260,plain,
( double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_55),X_55)
| inverse(inverse(inverse(multiply(inverse(X_46),X_46)))) = multiply(inverse(X_55),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))),inverse(inverse(inverse(multiply(inverse(X_46),X_46))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(inverse(inverse(multiply(inverse(X_46),X_46)))) = multiply(inverse(X_55),X_55),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(inverse(multiply(inverse(X_46),X_46))))),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_55),X_55)) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(inverse(inverse(multiply(inverse(X_77),X_77)))) = multiply(inverse(X_78),X_78),
inference(subst,[],[refute_0_261:[bind(X_46,$fot(X_77)),bind(X_55,$fot(X_78))]]) ).
cnf(refute_0_263,plain,
( double_divide(X_17,inverse(X_17)) != double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),inverse(inverse(inverse(multiply(inverse(X_77),X_77)))))
| inverse(inverse(inverse(multiply(inverse(X_77),X_77)))) != multiply(inverse(X_78),X_78)
| double_divide(X_17,inverse(X_17)) = double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,inverse(X_17)),double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),inverse(inverse(inverse(multiply(inverse(X_77),X_77)))))) ),[1,1],$fot(multiply(inverse(X_78),X_78))]]) ).
cnf(refute_0_264,plain,
( double_divide(X_17,inverse(X_17)) != double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),inverse(inverse(inverse(multiply(inverse(X_77),X_77)))))
| double_divide(X_17,inverse(X_17)) = double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(inverse(X_77),X_77)))),multiply(inverse(X_78),X_78)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
double_divide(X_17,inverse(X_17)) = double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),inverse(inverse(inverse(multiply(inverse(X_77),X_77)))))) )],[refute_0_251,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)) = inverse(multiply(inverse(X_77),X_77)),
inference(subst,[],[refute_0_124:[bind(X_19,$fot(X_78)),bind(X_53,$fot(inverse(multiply(inverse(X_77),X_77))))]]) ).
cnf(refute_0_267,plain,
( double_divide(X_17,inverse(X_17)) != double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78))
| double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)) != inverse(multiply(inverse(X_77),X_77))
| double_divide(X_17,inverse(X_17)) = inverse(multiply(inverse(X_77),X_77)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_17,inverse(X_17)),inverse(multiply(inverse(X_77),X_77))) ),[0],$fot(double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)))]]) ).
cnf(refute_0_268,plain,
( double_divide(X_17,inverse(X_17)) != double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78))
| double_divide(X_17,inverse(X_17)) = inverse(multiply(inverse(X_77),X_77)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78)),inverse(multiply(inverse(X_77),X_77))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
double_divide(X_17,inverse(X_17)) = inverse(multiply(inverse(X_77),X_77)),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),double_divide(inverse(inverse(multiply(inverse(X_77),X_77))),multiply(inverse(X_78),X_78))) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
( double_divide(X_17,inverse(X_17)) != inverse(multiply(inverse(X_77),X_77))
| inverse(multiply(inverse(X_77),X_77)) = double_divide(X_17,inverse(X_17)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_17,inverse(X_17)))),bind(Y,$fot(inverse(multiply(inverse(X_77),X_77))))]]) ).
cnf(refute_0_271,plain,
inverse(multiply(inverse(X_77),X_77)) = double_divide(X_17,inverse(X_17)),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),inverse(multiply(inverse(X_77),X_77))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
inverse(multiply(inverse(X_17),X_17)) = double_divide(X_17,inverse(X_17)),
inference(subst,[],[refute_0_271:[bind(X_77,$fot(X_17))]]) ).
cnf(refute_0_273,plain,
( inverse(multiply(inverse(X_17),X_17)) != double_divide(X_17,inverse(X_17))
| inverse(multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_57),X_57))
| double_divide(X_17,inverse(X_17)) = inverse(multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_57),X_57))) ),[0],$fot(double_divide(X_17,inverse(X_17)))]]) ).
cnf(refute_0_274,plain,
( inverse(multiply(inverse(X_17),X_17)) != inverse(multiply(inverse(X_57),X_57))
| double_divide(X_17,inverse(X_17)) = inverse(multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),double_divide(X_17,inverse(X_17))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
double_divide(X_17,inverse(X_17)) = inverse(multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_223,refute_0_274]) ).
cnf(refute_0_276,plain,
double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))) = inverse(multiply(inverse(X_57),X_57)),
inference(subst,[],[refute_0_275:[bind(X_17,$fot(multiply(inverse(X_90),X_89)))]]) ).
cnf(refute_0_277,plain,
( multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))))) != inverse(X_89)
| double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))) != inverse(multiply(inverse(X_57),X_57))
| multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = inverse(X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))))),inverse(X_89)) ),[0,1,1],$fot(inverse(multiply(inverse(X_57),X_57)))]]) ).
cnf(refute_0_278,plain,
( multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))))) != inverse(X_89)
| multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = inverse(X_89) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = inverse(X_89),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),double_divide(multiply(inverse(X_90),X_89),inverse(multiply(inverse(X_90),X_89))))),inverse(X_89)) )],[refute_0_193,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))) = inverse(double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66))),
inference(subst,[],[multiply:[bind(A,$fot(inverse(X_66))),bind(B,$fot(inverse(multiply(inverse(X_65),X_65))))]]) ).
cnf(refute_0_281,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)))]]) ).
cnf(refute_0_282,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) != double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32))
| inverse(inverse(multiply(inverse(X_17),X_17))) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)),double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32))) ),[1,0],$fot(inverse(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_283,plain,
( inverse(inverse(multiply(inverse(X_17),X_17))) != inverse(multiply(inverse(X_17),X_17))
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)),double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) = double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(multiply(inverse(X_17),X_17))) )],[refute_0_220,refute_0_283]) ).
cnf(refute_0_285,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) != X_32
| double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) != double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32))
| double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)),X_32) ),[0],$fot(double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)))]]) ).
cnf(refute_0_286,plain,
( double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)) != X_32
| double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)),double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
double_divide(inverse(multiply(inverse(X_17),X_17)),inverse(X_32)) = X_32,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(inverse(X_17),X_17))),inverse(X_32)),X_32) )],[refute_0_130,refute_0_286]) ).
cnf(refute_0_288,plain,
double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)) = X_66,
inference(subst,[],[refute_0_287:[bind(X_17,$fot(X_65)),bind(X_32,$fot(X_66))]]) ).
cnf(refute_0_289,plain,
( multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))) != inverse(double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)))
| double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)) != X_66
| multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))) = inverse(X_66) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))),inverse(double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)))) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_290,plain,
( multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))) != inverse(double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)))
| multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))) = inverse(X_66) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)),X_66) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))) = inverse(X_66),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),inverse(multiply(inverse(X_65),X_65))),inverse(double_divide(inverse(multiply(inverse(X_65),X_65)),inverse(X_66)))) )],[refute_0_280,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))) = inverse(X_90),
inference(subst,[],[refute_0_291:[bind(X_65,$fot(X_57)),bind(X_66,$fot(X_90))]]) ).
cnf(refute_0_293,plain,
multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))))]]) ).
cnf(refute_0_294,plain,
( multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))) != inverse(X_90)
| multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) != multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))))
| multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))),multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))))) ),[1,1],$fot(inverse(X_90))]]) ).
cnf(refute_0_295,plain,
( multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))) != inverse(X_90)
| multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))),multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) = multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57))),inverse(X_90)) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
( multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) != multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90))
| multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) != inverse(X_89)
| multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)) = inverse(X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))),inverse(X_89)) ),[0],$fot(multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)))]]) ).
cnf(refute_0_298,plain,
( multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))) != inverse(X_89)
| multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)) = inverse(X_89) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))),multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(inverse(multiply(inverse(X_90),X_89)),inverse(X_90)) = inverse(X_89),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_90),X_89)),multiply(inverse(X_90),inverse(multiply(inverse(X_57),X_57)))),inverse(X_89)) )],[refute_0_279,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)) = inverse(X_95),
inference(subst,[],[refute_0_299:[bind(X_89,$fot(X_95)),bind(X_90,$fot(X_96))]]) ).
cnf(refute_0_301,plain,
( multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)) != inverse(X_95)
| double_divide(multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)),inverse(inverse(X_96))) != multiply(inverse(X_96),X_95)
| double_divide(inverse(X_95),inverse(inverse(X_96))) = multiply(inverse(X_96),X_95) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)),inverse(inverse(X_96))),multiply(inverse(X_96),X_95)) ),[0,0],$fot(inverse(X_95))]]) ).
cnf(refute_0_302,plain,
( double_divide(multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)),inverse(inverse(X_96))) != multiply(inverse(X_96),X_95)
| double_divide(inverse(X_95),inverse(inverse(X_96))) = multiply(inverse(X_96),X_95) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)),inverse(X_95)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
double_divide(inverse(X_95),inverse(inverse(X_96))) = multiply(inverse(X_96),X_95),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(inverse(X_96),X_95)),inverse(X_96)),inverse(inverse(X_96))),multiply(inverse(X_96),X_95)) )],[refute_0_162,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(inverse(multiply(inverse(X_57),X_57)),X_89),X_88))) = inverse(X_89),
inference(subst,[],[refute_0_192:[bind(X_28,$fot(X_88)),bind(X_29,$fot(X_89)),bind(X_31,$fot(multiply(inverse(X_57),X_57)))]]) ).
cnf(refute_0_305,plain,
double_divide(inverse(multiply(inverse(X_84),X_84)),inverse(inverse(multiply(inverse(X_84),X_84)))) = inverse(multiply(inverse(X_57),X_57)),
inference(subst,[],[refute_0_275:[bind(X_17,$fot(inverse(multiply(inverse(X_84),X_84))))]]) ).
cnf(refute_0_306,plain,
double_divide(multiply(inverse(X_53),double_divide(B,A)),inverse(double_divide(B,A))) = X_53,
inference(subst,[],[refute_0_88:[bind(C,$fot(X_53)),bind(X_16,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_307,plain,
( double_divide(multiply(inverse(X_53),double_divide(B,A)),inverse(double_divide(B,A))) != X_53
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(inverse(X_53),double_divide(B,A)),multiply(A,B)) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_53),double_divide(B,A)),inverse(double_divide(B,A))),X_53) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_308,plain,
( double_divide(multiply(inverse(X_53),double_divide(B,A)),inverse(double_divide(B,A))) != X_53
| double_divide(multiply(inverse(X_53),double_divide(B,A)),multiply(A,B)) = X_53 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_307]) ).
cnf(refute_0_309,plain,
double_divide(multiply(inverse(X_53),double_divide(B,A)),multiply(A,B)) = X_53,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_53),double_divide(B,A)),inverse(double_divide(B,A))),X_53) )],[refute_0_306,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(multiply(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),double_divide(X_82,X_81)),multiply(X_81,X_82)) = inverse(inverse(multiply(inverse(X_46),X_46))),
inference(subst,[],[refute_0_309:[bind(A,$fot(X_81)),bind(B,$fot(X_82)),bind(X_53,$fot(inverse(inverse(multiply(inverse(X_46),X_46)))))]]) ).
cnf(refute_0_311,plain,
( double_divide(multiply(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),double_divide(X_82,X_81)),multiply(X_81,X_82)) != inverse(inverse(multiply(inverse(X_46),X_46)))
| inverse(inverse(inverse(multiply(inverse(X_46),X_46)))) != multiply(inverse(X_55),X_55)
| double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = inverse(inverse(multiply(inverse(X_46),X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),double_divide(X_82,X_81)),multiply(X_81,X_82)),inverse(inverse(multiply(inverse(X_46),X_46)))) ),[0,0,0],$fot(multiply(inverse(X_55),X_55))]]) ).
cnf(refute_0_312,plain,
( double_divide(multiply(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),double_divide(X_82,X_81)),multiply(X_81,X_82)) != inverse(inverse(multiply(inverse(X_46),X_46)))
| double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = inverse(inverse(multiply(inverse(X_46),X_46))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),multiply(inverse(X_55),X_55)) )],[refute_0_261,refute_0_311]) ).
cnf(refute_0_313,plain,
double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = inverse(inverse(multiply(inverse(X_46),X_46))),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(inverse(multiply(inverse(X_46),X_46)))),double_divide(X_82,X_81)),multiply(X_81,X_82)),inverse(inverse(multiply(inverse(X_46),X_46)))) )],[refute_0_310,refute_0_312]) ).
cnf(refute_0_314,plain,
( inverse(multiply(inverse(X_17),X_17)) != multiply(inverse(X_55),X_55)
| inverse(multiply(inverse(X_17),X_17)) != double_divide(X_17,inverse(X_17))
| double_divide(X_17,inverse(X_17)) = multiply(inverse(X_55),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_55),X_55)) ),[0],$fot(double_divide(X_17,inverse(X_17)))]]) ).
cnf(refute_0_315,plain,
( inverse(multiply(inverse(X_17),X_17)) != multiply(inverse(X_55),X_55)
| double_divide(X_17,inverse(X_17)) = multiply(inverse(X_55),X_55) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),double_divide(X_17,inverse(X_17))) )],[refute_0_272,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(X_17,inverse(X_17)) = multiply(inverse(X_55),X_55),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_17),X_17)),multiply(inverse(X_55),X_55)) )],[refute_0_140,refute_0_315]) ).
cnf(refute_0_317,plain,
double_divide(X_55,inverse(X_55)) = multiply(inverse(X_55),X_55),
inference(subst,[],[refute_0_316:[bind(X_17,$fot(X_55))]]) ).
cnf(refute_0_318,plain,
double_divide(multiply(multiply(inverse(double_divide(B,A)),X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,A),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_319,plain,
( double_divide(multiply(multiply(inverse(double_divide(B,A)),X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(multiply(multiply(A,B),X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(double_divide(B,A)),X_2),double_divide(X_2,X_3)),X_3),double_divide(B,A)) ),[0,0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_320,plain,
( double_divide(multiply(multiply(inverse(double_divide(B,A)),X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_319]) ).
cnf(refute_0_321,plain,
double_divide(multiply(multiply(multiply(A,B),X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(double_divide(B,A)),X_2),double_divide(X_2,X_3)),X_3),double_divide(B,A)) )],[refute_0_318,refute_0_320]) ).
cnf(refute_0_322,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37))),multiply(X_36,X_37)) = double_divide(B,A),
inference(subst,[],[refute_0_321:[bind(X_2,$fot(multiply(inverse(X_38),X_38))),bind(X_3,$fot(multiply(X_36,X_37)))]]) ).
cnf(refute_0_323,plain,
double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37)) = double_divide(X_37,X_36),
inference(subst,[],[refute_0_227:[bind(A,$fot(X_36)),bind(B,$fot(X_37)),bind(X_17,$fot(X_38))]]) ).
cnf(refute_0_324,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37))),multiply(X_36,X_37)) != double_divide(B,A)
| double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37)) != double_divide(X_37,X_36)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37))),multiply(X_36,X_37)),double_divide(B,A)) ),[0,0,1],$fot(double_divide(X_37,X_36))]]) ).
cnf(refute_0_325,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37))),multiply(X_36,X_37)) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37)),double_divide(X_37,X_36)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(multiply(inverse(X_38),X_38),multiply(X_36,X_37))),multiply(X_36,X_37)),double_divide(B,A)) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(inverse(double_divide(B,A)),multiply(inverse(X_19),X_19)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(double_divide(B,A))),bind(X_17,$fot(X_19))]]) ).
cnf(refute_0_328,plain,
( multiply(inverse(double_divide(B,A)),multiply(inverse(X_19),X_19)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),multiply(inverse(X_19),X_19)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),multiply(inverse(X_19),X_19)),inverse(double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_329,plain,
( multiply(inverse(double_divide(B,A)),multiply(inverse(X_19),X_19)) != inverse(double_divide(B,A))
| multiply(multiply(A,B),multiply(inverse(X_19),X_19)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(multiply(A,B),multiply(inverse(X_19),X_19)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),multiply(inverse(X_19),X_19)),inverse(double_divide(B,A))) )],[refute_0_327,refute_0_329]) ).
cnf(refute_0_331,plain,
( multiply(multiply(A,B),multiply(inverse(X_19),X_19)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),multiply(inverse(X_19),X_19)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),multiply(inverse(X_19),X_19)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_332,plain,
( multiply(multiply(A,B),multiply(inverse(X_19),X_19)) != inverse(double_divide(B,A))
| multiply(multiply(A,B),multiply(inverse(X_19),X_19)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(multiply(A,B),multiply(inverse(X_19),X_19)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_19),X_19)),inverse(double_divide(B,A))) )],[refute_0_330,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(multiply(A,B),multiply(inverse(X_38),X_38)) = multiply(A,B),
inference(subst,[],[refute_0_333:[bind(X_19,$fot(X_38))]]) ).
cnf(refute_0_335,plain,
multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) = multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)))]]) ).
cnf(refute_0_336,plain,
( multiply(multiply(A,B),multiply(inverse(X_38),X_38)) != multiply(A,B)
| multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) != multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36))
| multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) = multiply(multiply(A,B),double_divide(X_37,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36))) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_337,plain,
( multiply(multiply(A,B),multiply(inverse(X_38),X_38)) != multiply(A,B)
| multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) = multiply(multiply(A,B),double_divide(X_37,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) = multiply(multiply(A,B),double_divide(X_37,X_36)),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),multiply(A,B)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)))]]) ).
cnf(refute_0_340,plain,
( multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) != multiply(multiply(A,B),double_divide(X_37,X_36))
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) != double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37))
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)),double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37))) ),[1,0],$fot(multiply(multiply(A,B),double_divide(X_37,X_36)))]]) ).
cnf(refute_0_341,plain,
( multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)) != multiply(multiply(A,B),double_divide(X_37,X_36))
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)),double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(multiply(A,B),double_divide(X_37,X_36))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) != double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37))
| double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)),double_divide(B,A)) ),[0],$fot(double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)))]]) ).
cnf(refute_0_344,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)) != double_divide(B,A)
| double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)),double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(multiply(multiply(A,B),double_divide(X_37,X_36)),multiply(X_36,X_37)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_38),X_38)),double_divide(X_37,X_36)),multiply(X_36,X_37)),double_divide(B,A)) )],[refute_0_326,refute_0_344]) ).
cnf(refute_0_346,plain,
double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = double_divide(X_55,inverse(X_55)),
inference(subst,[],[refute_0_345:[bind(A,$fot(inverse(X_55))),bind(B,$fot(X_55)),bind(X_36,$fot(X_81)),bind(X_37,$fot(X_82))]]) ).
cnf(refute_0_347,plain,
( double_divide(X_55,inverse(X_55)) != multiply(inverse(X_55),X_55)
| double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) != double_divide(X_55,inverse(X_55))
| double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = multiply(inverse(X_55),X_55) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)))),bind(Y,$fot(double_divide(X_55,inverse(X_55)))),bind(Z,$fot(multiply(inverse(X_55),X_55)))]]) ).
cnf(refute_0_348,plain,
( double_divide(X_55,inverse(X_55)) != multiply(inverse(X_55),X_55)
| double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = multiply(inverse(X_55),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)),double_divide(X_55,inverse(X_55))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) = multiply(inverse(X_55),X_55),
inference(resolve,[$cnf( $equal(double_divide(X_55,inverse(X_55)),multiply(inverse(X_55),X_55)) )],[refute_0_317,refute_0_348]) ).
cnf(refute_0_350,plain,
( double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) != multiply(inverse(X_55),X_55)
| double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) != inverse(inverse(multiply(inverse(X_46),X_46)))
| multiply(inverse(X_55),X_55) = inverse(inverse(multiply(inverse(X_46),X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)),inverse(inverse(multiply(inverse(X_46),X_46)))) ),[0],$fot(multiply(inverse(X_55),X_55))]]) ).
cnf(refute_0_351,plain,
( double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)) != inverse(inverse(multiply(inverse(X_46),X_46)))
| multiply(inverse(X_55),X_55) = inverse(inverse(multiply(inverse(X_46),X_46))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)),multiply(inverse(X_55),X_55)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(inverse(X_55),X_55) = inverse(inverse(multiply(inverse(X_46),X_46))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_55),X_55),double_divide(X_82,X_81)),multiply(X_81,X_82)),inverse(inverse(multiply(inverse(X_46),X_46)))) )],[refute_0_313,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(inverse(X_85),X_85) = inverse(inverse(multiply(inverse(X_84),X_84))),
inference(subst,[],[refute_0_352:[bind(X_46,$fot(X_84)),bind(X_55,$fot(X_85))]]) ).
cnf(refute_0_354,plain,
( multiply(inverse(X_85),X_85) != inverse(inverse(multiply(inverse(X_84),X_84)))
| inverse(inverse(multiply(inverse(X_84),X_84))) = multiply(inverse(X_85),X_85) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_85),X_85))),bind(Y,$fot(inverse(inverse(multiply(inverse(X_84),X_84)))))]]) ).
cnf(refute_0_355,plain,
inverse(inverse(multiply(inverse(X_84),X_84))) = multiply(inverse(X_85),X_85),
inference(resolve,[$cnf( $equal(multiply(inverse(X_85),X_85),inverse(inverse(multiply(inverse(X_84),X_84)))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
( double_divide(inverse(multiply(inverse(X_84),X_84)),inverse(inverse(multiply(inverse(X_84),X_84)))) != inverse(multiply(inverse(X_57),X_57))
| inverse(inverse(multiply(inverse(X_84),X_84))) != multiply(inverse(X_85),X_85)
| double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) = inverse(multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_84),X_84)),inverse(inverse(multiply(inverse(X_84),X_84)))),inverse(multiply(inverse(X_57),X_57))) ),[0,1],$fot(multiply(inverse(X_85),X_85))]]) ).
cnf(refute_0_357,plain,
( double_divide(inverse(multiply(inverse(X_84),X_84)),inverse(inverse(multiply(inverse(X_84),X_84)))) != inverse(multiply(inverse(X_57),X_57))
| double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) = inverse(multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_84),X_84))),multiply(inverse(X_85),X_85)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) = inverse(multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_84),X_84)),inverse(inverse(multiply(inverse(X_84),X_84)))),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_305,refute_0_357]) ).
cnf(refute_0_359,plain,
double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) = multiply(inverse(X_84),X_84),
inference(subst,[],[refute_0_124:[bind(X_19,$fot(X_85)),bind(X_53,$fot(multiply(inverse(X_84),X_84)))]]) ).
cnf(refute_0_360,plain,
( double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) != multiply(inverse(X_84),X_84)
| double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) != inverse(multiply(inverse(X_57),X_57))
| multiply(inverse(X_84),X_84) = inverse(multiply(inverse(X_57),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)),inverse(multiply(inverse(X_57),X_57))) ),[0],$fot(multiply(inverse(X_84),X_84))]]) ).
cnf(refute_0_361,plain,
( double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)) != inverse(multiply(inverse(X_57),X_57))
| multiply(inverse(X_84),X_84) = inverse(multiply(inverse(X_57),X_57)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)),multiply(inverse(X_84),X_84)) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(inverse(X_84),X_84) = inverse(multiply(inverse(X_57),X_57)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_84),X_84)),multiply(inverse(X_85),X_85)),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( multiply(inverse(X_84),X_84) != inverse(multiply(inverse(X_57),X_57))
| inverse(multiply(inverse(X_57),X_57)) = multiply(inverse(X_84),X_84) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_84),X_84))),bind(Y,$fot(inverse(multiply(inverse(X_57),X_57))))]]) ).
cnf(refute_0_364,plain,
inverse(multiply(inverse(X_57),X_57)) = multiply(inverse(X_84),X_84),
inference(resolve,[$cnf( $equal(multiply(inverse(X_84),X_84),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(inverse(multiply(inverse(X_57),X_57)),X_89),X_88))) != inverse(X_89)
| inverse(multiply(inverse(X_57),X_57)) != multiply(inverse(X_84),X_84)
| multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) = inverse(X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(inverse(multiply(inverse(X_57),X_57)),X_89),X_88))),inverse(X_89)) ),[0,1,1,0,0],$fot(multiply(inverse(X_84),X_84))]]) ).
cnf(refute_0_366,plain,
( multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(inverse(multiply(inverse(X_57),X_57)),X_89),X_88))) != inverse(X_89)
| multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) = inverse(X_89) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_57),X_57)),multiply(inverse(X_84),X_84)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) = inverse(X_89),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(inverse(multiply(inverse(X_57),X_57)),X_89),X_88))),inverse(X_89)) )],[refute_0_304,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(A,multiply(multiply(inverse(X_2),X_2),double_divide(X_2,A))) = inverse(X_2),
inference(subst,[],[refute_0_27:[bind(X_4,$fot(X_2))]]) ).
cnf(refute_0_369,plain,
inverse(multiply(inverse(X_67),X_67)) = multiply(inverse(X_2),X_2),
inference(subst,[],[refute_0_140:[bind(X_17,$fot(X_67)),bind(X_55,$fot(X_2))]]) ).
cnf(refute_0_370,plain,
( inverse(multiply(inverse(X_67),X_67)) != multiply(inverse(X_2),X_2)
| multiply(inverse(X_2),X_2) = inverse(multiply(inverse(X_67),X_67)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(multiply(inverse(X_67),X_67)))),bind(Y,$fot(multiply(inverse(X_2),X_2)))]]) ).
cnf(refute_0_371,plain,
multiply(inverse(X_2),X_2) = inverse(multiply(inverse(X_67),X_67)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_67),X_67)),multiply(inverse(X_2),X_2)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( multiply(A,multiply(multiply(inverse(X_2),X_2),double_divide(X_2,A))) != inverse(X_2)
| multiply(inverse(X_2),X_2) != inverse(multiply(inverse(X_67),X_67))
| multiply(A,multiply(inverse(multiply(inverse(X_67),X_67)),double_divide(X_2,A))) = inverse(X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_2),X_2),double_divide(X_2,A))),inverse(X_2)) ),[0,1,0],$fot(inverse(multiply(inverse(X_67),X_67)))]]) ).
cnf(refute_0_373,plain,
( multiply(A,multiply(multiply(inverse(X_2),X_2),double_divide(X_2,A))) != inverse(X_2)
| multiply(A,multiply(inverse(multiply(inverse(X_67),X_67)),double_divide(X_2,A))) = inverse(X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_2),X_2),inverse(multiply(inverse(X_67),X_67))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(A,multiply(inverse(multiply(inverse(X_67),X_67)),double_divide(X_2,A))) = inverse(X_2),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(inverse(X_2),X_2),double_divide(X_2,A))),inverse(X_2)) )],[refute_0_368,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) = inverse(multiply(multiply(inverse(X_84),X_84),X_89)),
inference(subst,[],[refute_0_374:[bind(A,$fot(X_88)),bind(X_2,$fot(multiply(multiply(inverse(X_84),X_84),X_89))),bind(X_67,$fot(X_57))]]) ).
cnf(refute_0_376,plain,
( multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) != inverse(X_89)
| multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) != inverse(multiply(multiply(inverse(X_84),X_84),X_89))
| inverse(multiply(multiply(inverse(X_84),X_84),X_89)) = inverse(X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))),inverse(X_89)) ),[0],$fot(inverse(multiply(multiply(inverse(X_84),X_84),X_89)))]]) ).
cnf(refute_0_377,plain,
( multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))) != inverse(X_89)
| inverse(multiply(multiply(inverse(X_84),X_84),X_89)) = inverse(X_89) ),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))),inverse(multiply(multiply(inverse(X_84),X_84),X_89))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
inverse(multiply(multiply(inverse(X_84),X_84),X_89)) = inverse(X_89),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(multiply(inverse(X_57),X_57)),double_divide(multiply(multiply(inverse(X_84),X_84),X_89),X_88))),inverse(X_89)) )],[refute_0_367,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) = inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),
inference(subst,[],[refute_0_378:[bind(X_84,$fot(X_91)),bind(X_89,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))))]]) ).
cnf(refute_0_380,plain,
multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(A,$fot(multiply(inverse(X_91),X_91)))]]) ).
cnf(refute_0_381,plain,
( multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) != inverse(X_4)
| inverse(multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) != inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))
| inverse(inverse(X_4)) = inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))),inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) ),[0,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_382,plain,
( inverse(multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) != inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))
| inverse(inverse(X_4)) = inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),inverse(X_4)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
inverse(inverse(X_4)) = inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_91),X_91),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))),inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
double_divide(multiply(inverse(multiply(multiply(inverse(X_91),X_91),X_92)),double_divide(B,A)),multiply(A,B)) = multiply(multiply(inverse(X_91),X_91),X_92),
inference(subst,[],[refute_0_309:[bind(X_53,$fot(multiply(multiply(inverse(X_91),X_91),X_92)))]]) ).
cnf(refute_0_385,plain,
inverse(multiply(multiply(inverse(X_91),X_91),X_92)) = inverse(X_92),
inference(subst,[],[refute_0_378:[bind(X_84,$fot(X_91)),bind(X_89,$fot(X_92))]]) ).
cnf(refute_0_386,plain,
( double_divide(multiply(inverse(multiply(multiply(inverse(X_91),X_91),X_92)),double_divide(B,A)),multiply(A,B)) != multiply(multiply(inverse(X_91),X_91),X_92)
| inverse(multiply(multiply(inverse(X_91),X_91),X_92)) != inverse(X_92)
| double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) = multiply(multiply(inverse(X_91),X_91),X_92) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(multiply(multiply(inverse(X_91),X_91),X_92)),double_divide(B,A)),multiply(A,B)),multiply(multiply(inverse(X_91),X_91),X_92)) ),[0,0,0],$fot(inverse(X_92))]]) ).
cnf(refute_0_387,plain,
( double_divide(multiply(inverse(multiply(multiply(inverse(X_91),X_91),X_92)),double_divide(B,A)),multiply(A,B)) != multiply(multiply(inverse(X_91),X_91),X_92)
| double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) = multiply(multiply(inverse(X_91),X_91),X_92) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_91),X_91),X_92)),inverse(X_92)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) = multiply(multiply(inverse(X_91),X_91),X_92),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(multiply(multiply(inverse(X_91),X_91),X_92)),double_divide(B,A)),multiply(A,B)),multiply(multiply(inverse(X_91),X_91),X_92)) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) = X_92,
inference(subst,[],[refute_0_309:[bind(X_53,$fot(X_92))]]) ).
cnf(refute_0_390,plain,
( double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) != X_92
| double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) != multiply(multiply(inverse(X_91),X_91),X_92)
| X_92 = multiply(multiply(inverse(X_91),X_91),X_92) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)),multiply(multiply(inverse(X_91),X_91),X_92)) ),[0],$fot(X_92)]]) ).
cnf(refute_0_391,plain,
( double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)) != multiply(multiply(inverse(X_91),X_91),X_92)
| X_92 = multiply(multiply(inverse(X_91),X_91),X_92) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)),X_92) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
X_92 = multiply(multiply(inverse(X_91),X_91),X_92),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_92),double_divide(B,A)),multiply(A,B)),multiply(multiply(inverse(X_91),X_91),X_92)) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
( X_92 != multiply(multiply(inverse(X_91),X_91),X_92)
| multiply(multiply(inverse(X_91),X_91),X_92) = X_92 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_92)),bind(Y,$fot(multiply(multiply(inverse(X_91),X_91),X_92)))]]) ).
cnf(refute_0_394,plain,
multiply(multiply(inverse(X_91),X_91),X_92) = X_92,
inference(resolve,[$cnf( $equal(X_92,multiply(multiply(inverse(X_91),X_91),X_92)) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(multiply(inverse(X_91),X_91),X_4) = X_4,
inference(subst,[],[refute_0_394:[bind(X_92,$fot(X_4))]]) ).
cnf(refute_0_396,plain,
inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) = multiply(multiply(inverse(X_91),X_91),X_4),
inference(subst,[],[refute_0_5:[bind(A,$fot(multiply(inverse(X_91),X_91))),bind(B,$fot(X_4))]]) ).
cnf(refute_0_397,plain,
( multiply(multiply(inverse(X_91),X_91),X_4) != X_4
| inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) != multiply(multiply(inverse(X_91),X_91),X_4)
| inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) = X_4 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(double_divide(X_4,multiply(inverse(X_91),X_91))))),bind(Y,$fot(multiply(multiply(inverse(X_91),X_91),X_4))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_398,plain,
( multiply(multiply(inverse(X_91),X_91),X_4) != X_4
| inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) = X_4 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_4,multiply(inverse(X_91),X_91))),multiply(multiply(inverse(X_91),X_91),X_4)) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) = X_4,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_91),X_91),X_4),X_4) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
double_divide(multiply(multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),
inference(subst,[],[refute_0_38:[bind(C,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))))]]) ).
cnf(refute_0_401,plain,
double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))) = multiply(inverse(X_55),X_55),
inference(subst,[],[refute_0_102:[bind(X_13,$fot(multiply(inverse(X_55),X_55)))]]) ).
cnf(refute_0_402,plain,
double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))) = multiply(inverse(X_19),X_19),
inference(subst,[],[refute_0_136:[bind(X_17,$fot(X_55)),bind(X_53,$fot(multiply(inverse(X_19),X_19)))]]) ).
cnf(refute_0_403,plain,
( double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_19),X_19)
| double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_55),X_55)
| multiply(inverse(X_19),X_19) = multiply(inverse(X_55),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_55),X_55)) ),[0],$fot(multiply(inverse(X_19),X_19))]]) ).
cnf(refute_0_404,plain,
( double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))) != multiply(inverse(X_55),X_55)
| multiply(inverse(X_19),X_19) = multiply(inverse(X_55),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_19),X_19)) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(inverse(X_19),X_19) = multiply(inverse(X_55),X_55),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_19),X_19)),inverse(multiply(inverse(X_55),X_55))),multiply(inverse(X_55),X_55)) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) = multiply(inverse(X_60),X_60),
inference(subst,[],[refute_0_405:[bind(X_19,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)))),bind(X_55,$fot(X_60))]]) ).
cnf(refute_0_407,plain,
( multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) != multiply(inverse(X_60),X_60)
| double_divide(multiply(multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) != multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))
| double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) ),[0,0,0],$fot(multiply(inverse(X_60),X_60))]]) ).
cnf(refute_0_408,plain,
( double_divide(multiply(multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B) != multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))
| double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(inverse(X_60),X_60)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))),X_4),B),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) )],[refute_0_400,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(multiply(inverse(X_60),X_60),X_4) = X_4,
inference(subst,[],[refute_0_394:[bind(X_91,$fot(X_60)),bind(X_92,$fot(X_4))]]) ).
cnf(refute_0_411,plain,
double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B))]]) ).
cnf(refute_0_412,plain,
( multiply(multiply(inverse(X_60),X_60),X_4) != X_4
| double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) != double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B)
| double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = double_divide(X_4,B) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B),double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B)) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_413,plain,
( multiply(multiply(inverse(X_60),X_60),X_4) != X_4
| double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = double_divide(X_4,B) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B),double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) = double_divide(X_4,B),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_60),X_60),X_4),X_4) )],[refute_0_410,refute_0_413]) ).
cnf(refute_0_415,plain,
( double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) != multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))
| double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) != double_divide(X_4,B)
| double_divide(X_4,B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) ),[0],$fot(double_divide(X_4,B))]]) ).
cnf(refute_0_416,plain,
( double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B) != multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))
| double_divide(X_4,B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B),double_divide(X_4,B)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
double_divide(X_4,B) = multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_60),X_60),X_4),B),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) )],[refute_0_409,refute_0_416]) ).
cnf(refute_0_418,plain,
( double_divide(X_4,B) != multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))
| multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)) = double_divide(X_4,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_4,B))),bind(Y,$fot(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))))]]) ).
cnf(refute_0_419,plain,
multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B)) = double_divide(X_4,B),
inference(resolve,[$cnf( $equal(double_divide(X_4,B),multiply(multiply(inverse(X_4),X_2),double_divide(X_2,B))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))) = double_divide(X_4,multiply(inverse(X_91),X_91)),
inference(subst,[],[refute_0_419:[bind(B,$fot(multiply(inverse(X_91),X_91)))]]) ).
cnf(refute_0_421,plain,
inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))))]]) ).
cnf(refute_0_422,plain,
( multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))) != double_divide(X_4,multiply(inverse(X_91),X_91))
| inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) != inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))
| inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) ),[1,0],$fot(double_divide(X_4,multiply(inverse(X_91),X_91)))]]) ).
cnf(refute_0_423,plain,
( multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))) != double_divide(X_4,multiply(inverse(X_91),X_91))
| inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = inverse(double_divide(X_4,multiply(inverse(X_91),X_91))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))),double_divide(X_4,multiply(inverse(X_91),X_91))) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) != inverse(double_divide(X_4,multiply(inverse(X_91),X_91)))
| inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) != X_4
| inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = X_4 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))))),bind(Y,$fot(inverse(double_divide(X_4,multiply(inverse(X_91),X_91))))),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_426,plain,
( inverse(double_divide(X_4,multiply(inverse(X_91),X_91))) != X_4
| inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = X_4 ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),inverse(double_divide(X_4,multiply(inverse(X_91),X_91)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) = X_4,
inference(resolve,[$cnf( $equal(inverse(double_divide(X_4,multiply(inverse(X_91),X_91))),X_4) )],[refute_0_399,refute_0_426]) ).
cnf(refute_0_428,plain,
( inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))) != X_4
| inverse(inverse(X_4)) != inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))
| inverse(inverse(X_4)) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_4)),inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) ),[1],$fot(X_4)]]) ).
cnf(refute_0_429,plain,
( inverse(inverse(X_4)) != inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))
| inverse(inverse(X_4)) = X_4 ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91)))),X_4) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
inverse(inverse(X_4)) = X_4,
inference(resolve,[$cnf( $equal(inverse(inverse(X_4)),inverse(multiply(multiply(inverse(X_4),X_2),double_divide(X_2,multiply(inverse(X_91),X_91))))) )],[refute_0_383,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(inverse(X_96)) = X_96,
inference(subst,[],[refute_0_430:[bind(X_4,$fot(X_96))]]) ).
cnf(refute_0_432,plain,
double_divide(inverse(X_95),inverse(inverse(X_96))) = double_divide(inverse(X_95),inverse(inverse(X_96))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_95),inverse(inverse(X_96))))]]) ).
cnf(refute_0_433,plain,
( double_divide(inverse(X_95),inverse(inverse(X_96))) != double_divide(inverse(X_95),inverse(inverse(X_96)))
| inverse(inverse(X_96)) != X_96
| double_divide(inverse(X_95),inverse(inverse(X_96))) = double_divide(inverse(X_95),X_96) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_95),inverse(inverse(X_96))),double_divide(inverse(X_95),inverse(inverse(X_96)))) ),[1,1],$fot(X_96)]]) ).
cnf(refute_0_434,plain,
( inverse(inverse(X_96)) != X_96
| double_divide(inverse(X_95),inverse(inverse(X_96))) = double_divide(inverse(X_95),X_96) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_95),inverse(inverse(X_96))),double_divide(inverse(X_95),inverse(inverse(X_96)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(inverse(X_95),inverse(inverse(X_96))) = double_divide(inverse(X_95),X_96),
inference(resolve,[$cnf( $equal(inverse(inverse(X_96)),X_96) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( double_divide(inverse(X_95),inverse(inverse(X_96))) != multiply(inverse(X_96),X_95)
| double_divide(inverse(X_95),inverse(inverse(X_96))) != double_divide(inverse(X_95),X_96)
| double_divide(inverse(X_95),X_96) = multiply(inverse(X_96),X_95) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_95),inverse(inverse(X_96))),multiply(inverse(X_96),X_95)) ),[0],$fot(double_divide(inverse(X_95),X_96))]]) ).
cnf(refute_0_437,plain,
( double_divide(inverse(X_95),inverse(inverse(X_96))) != multiply(inverse(X_96),X_95)
| double_divide(inverse(X_95),X_96) = multiply(inverse(X_96),X_95) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_95),inverse(inverse(X_96))),double_divide(inverse(X_95),X_96)) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
double_divide(inverse(X_95),X_96) = multiply(inverse(X_96),X_95),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_95),inverse(inverse(X_96))),multiply(inverse(X_96),X_95)) )],[refute_0_303,refute_0_437]) ).
cnf(refute_0_439,plain,
double_divide(inverse(X_97),A) = multiply(inverse(A),X_97),
inference(subst,[],[refute_0_438:[bind(X_95,$fot(X_97)),bind(X_96,$fot(A))]]) ).
cnf(refute_0_440,plain,
( multiply(A,inverse(X_97)) != inverse(double_divide(inverse(X_97),A))
| double_divide(inverse(X_97),A) != multiply(inverse(A),X_97)
| multiply(A,inverse(X_97)) = inverse(multiply(inverse(A),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_97)),inverse(double_divide(inverse(X_97),A))) ),[1,0],$fot(multiply(inverse(A),X_97))]]) ).
cnf(refute_0_441,plain,
( multiply(A,inverse(X_97)) != inverse(double_divide(inverse(X_97),A))
| multiply(A,inverse(X_97)) = inverse(multiply(inverse(A),X_97)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_97),A),multiply(inverse(A),X_97)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(A,inverse(X_97)) = inverse(multiply(inverse(A),X_97)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_97)),inverse(double_divide(inverse(X_97),A))) )],[refute_0_161,refute_0_441]) ).
cnf(refute_0_443,plain,
double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32))),inverse(X_32)) = double_divide(B,A),
inference(subst,[],[refute_0_321:[bind(X_2,$fot(inverse(multiply(inverse(X_33),X_33)))),bind(X_3,$fot(inverse(X_32)))]]) ).
cnf(refute_0_444,plain,
double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32)) = X_32,
inference(subst,[],[refute_0_102:[bind(X_13,$fot(X_32)),bind(X_19,$fot(X_33))]]) ).
cnf(refute_0_445,plain,
( double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32))),inverse(X_32)) != double_divide(B,A)
| double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32)) != X_32
| double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32))),inverse(X_32)),double_divide(B,A)) ),[0,0,1],$fot(X_32)]]) ).
cnf(refute_0_446,plain,
( double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32))),inverse(X_32)) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32)),X_32) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),double_divide(inverse(multiply(inverse(X_33),X_33)),inverse(X_32))),inverse(X_32)),double_divide(B,A)) )],[refute_0_443,refute_0_446]) ).
cnf(refute_0_448,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) = double_divide(B,A),
inference(subst,[],[refute_0_321:[bind(X_2,$fot(multiply(inverse(X_17),X_17))),bind(X_3,$fot(inverse(X_16)))]]) ).
cnf(refute_0_449,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != double_divide(B,A)
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),double_divide(B,A)) ),[0,0,1],$fot(X_16)]]) ).
cnf(refute_0_450,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_48,refute_0_449]) ).
cnf(refute_0_451,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16))),inverse(X_16)),double_divide(B,A)) )],[refute_0_448,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(multiply(A,B),multiply(inverse(X_17),X_17)) = multiply(A,B),
inference(subst,[],[refute_0_333:[bind(X_19,$fot(X_17))]]) ).
cnf(refute_0_453,plain,
multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16))]]) ).
cnf(refute_0_454,plain,
( multiply(multiply(A,B),multiply(inverse(X_17),X_17)) != multiply(A,B)
| multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16)
| multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(A,B),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_455,plain,
( multiply(multiply(A,B),multiply(inverse(X_17),X_17)) != multiply(A,B)
| multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(A,B),X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(A,B),X_16),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),multiply(A,B)) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),
introduced(tautology,[refl,[$fot(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)))]]) ).
cnf(refute_0_458,plain,
( multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(A,B),X_16)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(A,B),X_16),inverse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) ),[1,0],$fot(multiply(multiply(A,B),X_16))]]) ).
cnf(refute_0_459,plain,
( multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(A,B),X_16)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(A,B),X_16),inverse(X_16)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) = double_divide(multiply(multiply(A,B),X_16),inverse(X_16)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(A,B),X_16)) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(multiply(multiply(A,B),X_16),inverse(X_16))
| double_divide(multiply(multiply(A,B),X_16),inverse(X_16)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(B,A)) ),[0],$fot(double_divide(multiply(multiply(A,B),X_16),inverse(X_16)))]]) ).
cnf(refute_0_462,plain,
( double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)) != double_divide(B,A)
| double_divide(multiply(multiply(A,B),X_16),inverse(X_16)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(multiply(multiply(A,B),X_16),inverse(X_16))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
double_divide(multiply(multiply(A,B),X_16),inverse(X_16)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),multiply(inverse(X_17),X_17)),X_16),inverse(X_16)),double_divide(B,A)) )],[refute_0_451,refute_0_462]) ).
cnf(refute_0_464,plain,
double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) = double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)),
inference(subst,[],[refute_0_463:[bind(A,$fot(multiply(A,B))),bind(B,$fot(inverse(multiply(inverse(X_33),X_33)))),bind(X_16,$fot(X_32))]]) ).
cnf(refute_0_465,plain,
( double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) != double_divide(B,A)
| double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) != double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B))
| double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)),double_divide(B,A)) ),[0],$fot(double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)))]]) ).
cnf(refute_0_466,plain,
( double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)) != double_divide(B,A)
| double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)),double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(A,B),inverse(multiply(inverse(X_33),X_33))),X_32),inverse(X_32)),double_divide(B,A)) )],[refute_0_447,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(multiply(multiply(inverse(X_93),X_93),B),multiply(inverse(X_19),X_19)) = multiply(multiply(inverse(X_93),X_93),B),
inference(subst,[],[refute_0_333:[bind(A,$fot(multiply(inverse(X_93),X_93)))]]) ).
cnf(refute_0_469,plain,
B = multiply(multiply(inverse(X_93),X_93),B),
inference(subst,[],[refute_0_392:[bind(X_91,$fot(X_93)),bind(X_92,$fot(B))]]) ).
cnf(refute_0_470,plain,
( B != multiply(multiply(inverse(X_93),X_93),B)
| multiply(multiply(inverse(X_93),X_93),B) = B ),
inference(subst,[],[refute_0_3:[bind(X,$fot(B)),bind(Y,$fot(multiply(multiply(inverse(X_93),X_93),B)))]]) ).
cnf(refute_0_471,plain,
multiply(multiply(inverse(X_93),X_93),B) = B,
inference(resolve,[$cnf( $equal(B,multiply(multiply(inverse(X_93),X_93),B)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( multiply(multiply(multiply(inverse(X_93),X_93),B),multiply(inverse(X_19),X_19)) != multiply(multiply(inverse(X_93),X_93),B)
| multiply(multiply(inverse(X_93),X_93),B) != B
| multiply(B,multiply(inverse(X_19),X_19)) = multiply(multiply(inverse(X_93),X_93),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_93),X_93),B),multiply(inverse(X_19),X_19)),multiply(multiply(inverse(X_93),X_93),B)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_473,plain,
( multiply(multiply(multiply(inverse(X_93),X_93),B),multiply(inverse(X_19),X_19)) != multiply(multiply(inverse(X_93),X_93),B)
| multiply(B,multiply(inverse(X_19),X_19)) = multiply(multiply(inverse(X_93),X_93),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_93),X_93),B),B) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(B,multiply(inverse(X_19),X_19)) = multiply(multiply(inverse(X_93),X_93),B),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_93),X_93),B),multiply(inverse(X_19),X_19)),multiply(multiply(inverse(X_93),X_93),B)) )],[refute_0_468,refute_0_473]) ).
cnf(refute_0_475,plain,
( multiply(B,multiply(inverse(X_19),X_19)) != multiply(multiply(inverse(X_93),X_93),B)
| multiply(multiply(inverse(X_93),X_93),B) != B
| multiply(B,multiply(inverse(X_19),X_19)) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,multiply(inverse(X_19),X_19)),B) ),[0],$fot(multiply(multiply(inverse(X_93),X_93),B))]]) ).
cnf(refute_0_476,plain,
( multiply(B,multiply(inverse(X_19),X_19)) != multiply(multiply(inverse(X_93),X_93),B)
| multiply(B,multiply(inverse(X_19),X_19)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_93),X_93),B),B) )],[refute_0_471,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(B,multiply(inverse(X_19),X_19)) = B,
inference(resolve,[$cnf( $equal(multiply(B,multiply(inverse(X_19),X_19)),multiply(multiply(inverse(X_93),X_93),B)) )],[refute_0_474,refute_0_476]) ).
cnf(refute_0_478,plain,
multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_477:[bind(B,$fot(inverse(multiply(A,B)))),bind(X_19,$fot(X_33))]]) ).
cnf(refute_0_479,plain,
double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33)),
inference(subst,[],[refute_0_438:[bind(X_95,$fot(multiply(inverse(X_33),X_33))),bind(X_96,$fot(multiply(A,B)))]]) ).
cnf(refute_0_480,plain,
( multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33)) != inverse(multiply(A,B))
| double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) != multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33))
| double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = inverse(multiply(A,B)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)))),bind(Y,$fot(multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33)))),bind(Z,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_481,plain,
( multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33)) != inverse(multiply(A,B))
| double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = inverse(multiply(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)),multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) = inverse(multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,B)),multiply(inverse(X_33),X_33)),inverse(multiply(A,B))) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
( double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) != double_divide(B,A)
| double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_484,plain,
( double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)),inverse(multiply(A,B))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_33),X_33)),multiply(A,B)),double_divide(B,A)) )],[refute_0_467,refute_0_484]) ).
cnf(refute_0_486,plain,
inverse(multiply(inverse(A),X_97)) = double_divide(X_97,inverse(A)),
inference(subst,[],[refute_0_485:[bind(A,$fot(inverse(A))),bind(B,$fot(X_97))]]) ).
cnf(refute_0_487,plain,
( multiply(A,inverse(X_97)) != inverse(multiply(inverse(A),X_97))
| inverse(multiply(inverse(A),X_97)) != double_divide(X_97,inverse(A))
| multiply(A,inverse(X_97)) = double_divide(X_97,inverse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,inverse(X_97)),double_divide(X_97,inverse(A))) ),[0],$fot(inverse(multiply(inverse(A),X_97)))]]) ).
cnf(refute_0_488,plain,
( multiply(A,inverse(X_97)) != inverse(multiply(inverse(A),X_97))
| multiply(A,inverse(X_97)) = double_divide(X_97,inverse(A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(A),X_97)),double_divide(X_97,inverse(A))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(A,inverse(X_97)) = double_divide(X_97,inverse(A)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_97)),inverse(multiply(inverse(A),X_97))) )],[refute_0_442,refute_0_488]) ).
cnf(refute_0_490,plain,
( multiply(A,inverse(X_97)) != double_divide(X_97,inverse(A))
| double_divide(X_97,inverse(A)) = multiply(A,inverse(X_97)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,inverse(X_97)))),bind(Y,$fot(double_divide(X_97,inverse(A))))]]) ).
cnf(refute_0_491,plain,
double_divide(X_97,inverse(A)) = multiply(A,inverse(X_97)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_97)),double_divide(X_97,inverse(A))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
double_divide(X_68,inverse(X_68)) = multiply(X_68,inverse(X_68)),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_68)),bind(X_97,$fot(X_68))]]) ).
cnf(refute_0_493,plain,
( double_divide(X_68,inverse(X_68)) != multiply(X_68,inverse(X_68))
| double_divide(X_68,inverse(X_68)) != multiply(inverse(X_67),X_67)
| multiply(X_68,inverse(X_68)) = multiply(inverse(X_67),X_67) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_68,inverse(X_68)),multiply(inverse(X_67),X_67)) ),[0],$fot(multiply(X_68,inverse(X_68)))]]) ).
cnf(refute_0_494,plain,
( double_divide(X_68,inverse(X_68)) != multiply(inverse(X_67),X_67)
| multiply(X_68,inverse(X_68)) = multiply(inverse(X_67),X_67) ),
inference(resolve,[$cnf( $equal(double_divide(X_68,inverse(X_68)),multiply(X_68,inverse(X_68))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
multiply(X_68,inverse(X_68)) = multiply(inverse(X_67),X_67),
inference(resolve,[$cnf( $equal(double_divide(X_68,inverse(X_68)),multiply(inverse(X_67),X_67)) )],[refute_0_160,refute_0_494]) ).
cnf(refute_0_496,plain,
multiply(X_68,inverse(X_68)) = multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),
inference(subst,[],[refute_0_495:[bind(X_67,$fot(multiply(inverse(X_108),X_107)))]]) ).
cnf(refute_0_497,plain,
( multiply(X_68,inverse(X_68)) != multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107))
| multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)) = multiply(X_68,inverse(X_68)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_68,inverse(X_68)))),bind(Y,$fot(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107))))]]) ).
cnf(refute_0_498,plain,
multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)) = multiply(X_68,inverse(X_68)),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(X_68)),multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( multiply(inverse(X_107),multiply(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),X_108)) != inverse(multiply(inverse(X_108),X_107))
| multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)) != multiply(X_68,inverse(X_68))
| multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = inverse(multiply(inverse(X_108),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),X_108)),inverse(multiply(inverse(X_108),X_107))) ),[0,1,0],$fot(multiply(X_68,inverse(X_68)))]]) ).
cnf(refute_0_500,plain,
( multiply(inverse(X_107),multiply(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),X_108)) != inverse(multiply(inverse(X_108),X_107))
| multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = inverse(multiply(inverse(X_108),X_107)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),multiply(X_68,inverse(X_68))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = inverse(multiply(inverse(X_108),X_107)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(inverse(multiply(inverse(X_108),X_107)),multiply(inverse(X_108),X_107)),X_108)),inverse(multiply(inverse(X_108),X_107))) )],[refute_0_72,refute_0_500]) ).
cnf(refute_0_502,plain,
X_94 = multiply(multiply(inverse(multiply(inverse(X_57),X_57)),multiply(inverse(X_57),X_57)),X_94),
inference(subst,[],[refute_0_392:[bind(X_91,$fot(multiply(inverse(X_57),X_57))),bind(X_92,$fot(X_94))]]) ).
cnf(refute_0_503,plain,
( double_divide(X_17,inverse(X_17)) != inverse(multiply(inverse(X_57),X_57))
| inverse(multiply(inverse(X_57),X_57)) = double_divide(X_17,inverse(X_17)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_17,inverse(X_17)))),bind(Y,$fot(inverse(multiply(inverse(X_57),X_57))))]]) ).
cnf(refute_0_504,plain,
inverse(multiply(inverse(X_57),X_57)) = double_divide(X_17,inverse(X_17)),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),inverse(multiply(inverse(X_57),X_57))) )],[refute_0_275,refute_0_503]) ).
cnf(refute_0_505,plain,
( X_94 != multiply(multiply(inverse(multiply(inverse(X_57),X_57)),multiply(inverse(X_57),X_57)),X_94)
| inverse(multiply(inverse(X_57),X_57)) != double_divide(X_17,inverse(X_17))
| X_94 = multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(X_94,multiply(multiply(inverse(multiply(inverse(X_57),X_57)),multiply(inverse(X_57),X_57)),X_94)) ),[1,0,0],$fot(double_divide(X_17,inverse(X_17)))]]) ).
cnf(refute_0_506,plain,
( X_94 != multiply(multiply(inverse(multiply(inverse(X_57),X_57)),multiply(inverse(X_57),X_57)),X_94)
| X_94 = multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_57),X_57)),double_divide(X_17,inverse(X_17))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
X_94 = multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94),
inference(resolve,[$cnf( $equal(X_94,multiply(multiply(inverse(multiply(inverse(X_57),X_57)),multiply(inverse(X_57),X_57)),X_94)) )],[refute_0_502,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)) = double_divide(X_17,inverse(X_17)),
inference(subst,[],[refute_0_477:[bind(B,$fot(double_divide(X_17,inverse(X_17)))),bind(X_19,$fot(X_57))]]) ).
cnf(refute_0_509,plain,
multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) = multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94))]]) ).
cnf(refute_0_510,plain,
( multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) != multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94)
| multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)) != double_divide(X_17,inverse(X_17))
| multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) = multiply(double_divide(X_17,inverse(X_17)),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94),multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94)) ),[1,0],$fot(double_divide(X_17,inverse(X_17)))]]) ).
cnf(refute_0_511,plain,
( multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)) != double_divide(X_17,inverse(X_17))
| multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) = multiply(double_divide(X_17,inverse(X_17)),X_94) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94),multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) = multiply(double_divide(X_17,inverse(X_17)),X_94),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),double_divide(X_17,inverse(X_17))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( X_94 != multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94)
| multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94) != multiply(double_divide(X_17,inverse(X_17)),X_94)
| X_94 = multiply(double_divide(X_17,inverse(X_17)),X_94) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_94,multiply(double_divide(X_17,inverse(X_17)),X_94)) ),[0],$fot(multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94))]]) ).
cnf(refute_0_514,plain,
( X_94 != multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94)
| X_94 = multiply(double_divide(X_17,inverse(X_17)),X_94) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94),multiply(double_divide(X_17,inverse(X_17)),X_94)) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
X_94 = multiply(double_divide(X_17,inverse(X_17)),X_94),
inference(resolve,[$cnf( $equal(X_94,multiply(multiply(double_divide(X_17,inverse(X_17)),multiply(inverse(X_57),X_57)),X_94)) )],[refute_0_507,refute_0_514]) ).
cnf(refute_0_516,plain,
double_divide(X_17,inverse(X_17)) = multiply(X_17,inverse(X_17)),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_17)),bind(X_97,$fot(X_17))]]) ).
cnf(refute_0_517,plain,
multiply(double_divide(X_17,inverse(X_17)),X_94) = multiply(double_divide(X_17,inverse(X_17)),X_94),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_17,inverse(X_17)),X_94))]]) ).
cnf(refute_0_518,plain,
( multiply(double_divide(X_17,inverse(X_17)),X_94) != multiply(double_divide(X_17,inverse(X_17)),X_94)
| double_divide(X_17,inverse(X_17)) != multiply(X_17,inverse(X_17))
| multiply(double_divide(X_17,inverse(X_17)),X_94) = multiply(multiply(X_17,inverse(X_17)),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_17,inverse(X_17)),X_94),multiply(double_divide(X_17,inverse(X_17)),X_94)) ),[1,0],$fot(multiply(X_17,inverse(X_17)))]]) ).
cnf(refute_0_519,plain,
( double_divide(X_17,inverse(X_17)) != multiply(X_17,inverse(X_17))
| multiply(double_divide(X_17,inverse(X_17)),X_94) = multiply(multiply(X_17,inverse(X_17)),X_94) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_17,inverse(X_17)),X_94),multiply(double_divide(X_17,inverse(X_17)),X_94)) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(double_divide(X_17,inverse(X_17)),X_94) = multiply(multiply(X_17,inverse(X_17)),X_94),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),multiply(X_17,inverse(X_17))) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
( X_94 != multiply(double_divide(X_17,inverse(X_17)),X_94)
| multiply(double_divide(X_17,inverse(X_17)),X_94) != multiply(multiply(X_17,inverse(X_17)),X_94)
| X_94 = multiply(multiply(X_17,inverse(X_17)),X_94) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_94,multiply(multiply(X_17,inverse(X_17)),X_94)) ),[0],$fot(multiply(double_divide(X_17,inverse(X_17)),X_94))]]) ).
cnf(refute_0_522,plain,
( X_94 != multiply(double_divide(X_17,inverse(X_17)),X_94)
| X_94 = multiply(multiply(X_17,inverse(X_17)),X_94) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_17,inverse(X_17)),X_94),multiply(multiply(X_17,inverse(X_17)),X_94)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
X_94 = multiply(multiply(X_17,inverse(X_17)),X_94),
inference(resolve,[$cnf( $equal(X_94,multiply(double_divide(X_17,inverse(X_17)),X_94)) )],[refute_0_515,refute_0_522]) ).
cnf(refute_0_524,plain,
( X_94 != multiply(multiply(X_17,inverse(X_17)),X_94)
| multiply(multiply(X_17,inverse(X_17)),X_94) = X_94 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_94)),bind(Y,$fot(multiply(multiply(X_17,inverse(X_17)),X_94)))]]) ).
cnf(refute_0_525,plain,
multiply(multiply(X_17,inverse(X_17)),X_94) = X_94,
inference(resolve,[$cnf( $equal(X_94,multiply(multiply(X_17,inverse(X_17)),X_94)) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
multiply(multiply(X_68,inverse(X_68)),X_108) = X_108,
inference(subst,[],[refute_0_525:[bind(X_17,$fot(X_68)),bind(X_94,$fot(X_108))]]) ).
cnf(refute_0_527,plain,
multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)))]]) ).
cnf(refute_0_528,plain,
( multiply(multiply(X_68,inverse(X_68)),X_108) != X_108
| multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) != multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108))
| multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = multiply(inverse(X_107),X_108) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)),multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108))) ),[1,1],$fot(X_108)]]) ).
cnf(refute_0_529,plain,
( multiply(multiply(X_68,inverse(X_68)),X_108) != X_108
| multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = multiply(inverse(X_107),X_108) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)),multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) = multiply(inverse(X_107),X_108),
inference(resolve,[$cnf( $equal(multiply(multiply(X_68,inverse(X_68)),X_108),X_108) )],[refute_0_526,refute_0_529]) ).
cnf(refute_0_531,plain,
( multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) != multiply(inverse(X_107),X_108)
| multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) != inverse(multiply(inverse(X_108),X_107))
| multiply(inverse(X_107),X_108) = inverse(multiply(inverse(X_108),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)),inverse(multiply(inverse(X_108),X_107))) ),[0],$fot(multiply(inverse(X_107),X_108))]]) ).
cnf(refute_0_532,plain,
( multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) != inverse(multiply(inverse(X_108),X_107))
| multiply(inverse(X_107),X_108) = inverse(multiply(inverse(X_108),X_107)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)),multiply(inverse(X_107),X_108)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
double_divide(X_107,inverse(X_108)) = multiply(X_108,inverse(X_107)),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_108)),bind(X_97,$fot(X_107))]]) ).
cnf(refute_0_534,plain,
inverse(multiply(inverse(X_108),X_107)) = double_divide(X_107,inverse(X_108)),
inference(subst,[],[refute_0_485:[bind(A,$fot(inverse(X_108))),bind(B,$fot(X_107))]]) ).
cnf(refute_0_535,plain,
( double_divide(X_107,inverse(X_108)) != multiply(X_108,inverse(X_107))
| inverse(multiply(inverse(X_108),X_107)) != double_divide(X_107,inverse(X_108))
| inverse(multiply(inverse(X_108),X_107)) = multiply(X_108,inverse(X_107)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(inverse(X_108),X_107)))),bind(Y,$fot(double_divide(X_107,inverse(X_108)))),bind(Z,$fot(multiply(X_108,inverse(X_107))))]]) ).
cnf(refute_0_536,plain,
( double_divide(X_107,inverse(X_108)) != multiply(X_108,inverse(X_107))
| inverse(multiply(inverse(X_108),X_107)) = multiply(X_108,inverse(X_107)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_108),X_107)),double_divide(X_107,inverse(X_108))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
inverse(multiply(inverse(X_108),X_107)) = multiply(X_108,inverse(X_107)),
inference(resolve,[$cnf( $equal(double_divide(X_107,inverse(X_108)),multiply(X_108,inverse(X_107))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
( multiply(inverse(X_107),X_108) != inverse(multiply(inverse(X_108),X_107))
| inverse(multiply(inverse(X_108),X_107)) != multiply(X_108,inverse(X_107))
| multiply(inverse(X_107),X_108) = multiply(X_108,inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_107),X_108),multiply(X_108,inverse(X_107))) ),[0],$fot(inverse(multiply(inverse(X_108),X_107)))]]) ).
cnf(refute_0_539,plain,
( multiply(inverse(X_107),X_108) != inverse(multiply(inverse(X_108),X_107))
| multiply(inverse(X_107),X_108) = multiply(X_108,inverse(X_107)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_108),X_107)),multiply(X_108,inverse(X_107))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
( multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)) != inverse(multiply(inverse(X_108),X_107))
| multiply(inverse(X_107),X_108) = multiply(X_108,inverse(X_107)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),X_108),inverse(multiply(inverse(X_108),X_107))) )],[refute_0_532,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(inverse(X_107),X_108) = multiply(X_108,inverse(X_107)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),multiply(multiply(X_68,inverse(X_68)),X_108)),inverse(multiply(inverse(X_108),X_107))) )],[refute_0_501,refute_0_540]) ).
cnf(refute_0_542,plain,
multiply(inverse(double_divide(B,A)),X_111) = multiply(X_111,inverse(double_divide(B,A))),
inference(subst,[],[refute_0_541:[bind(X_107,$fot(double_divide(B,A))),bind(X_108,$fot(X_111))]]) ).
cnf(refute_0_543,plain,
( multiply(inverse(double_divide(B,A)),X_111) != multiply(X_111,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),X_111) = multiply(X_111,inverse(double_divide(B,A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_111),multiply(X_111,inverse(double_divide(B,A)))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_544,plain,
( multiply(inverse(double_divide(B,A)),X_111) != multiply(X_111,inverse(double_divide(B,A)))
| multiply(multiply(A,B),X_111) = multiply(X_111,inverse(double_divide(B,A))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(multiply(A,B),X_111) = multiply(X_111,inverse(double_divide(B,A))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),X_111),multiply(X_111,inverse(double_divide(B,A)))) )],[refute_0_542,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(X_111,inverse(double_divide(B,A))) = multiply(X_111,inverse(double_divide(B,A))),
introduced(tautology,[refl,[$fot(multiply(X_111,inverse(double_divide(B,A))))]]) ).
cnf(refute_0_547,plain,
( multiply(X_111,inverse(double_divide(B,A))) != multiply(X_111,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_111,inverse(double_divide(B,A))) = multiply(X_111,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_111,inverse(double_divide(B,A))),multiply(X_111,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_548,plain,
( inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_111,inverse(double_divide(B,A))) = multiply(X_111,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_111,inverse(double_divide(B,A))),multiply(X_111,inverse(double_divide(B,A)))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(X_111,inverse(double_divide(B,A))) = multiply(X_111,multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiply(X_111,inverse(double_divide(B,A))) != multiply(X_111,multiply(A,B))
| multiply(multiply(A,B),X_111) != multiply(X_111,inverse(double_divide(B,A)))
| multiply(multiply(A,B),X_111) = multiply(X_111,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,B),X_111),multiply(X_111,inverse(double_divide(B,A)))) ),[1],$fot(multiply(X_111,multiply(A,B)))]]) ).
cnf(refute_0_551,plain,
( multiply(multiply(A,B),X_111) != multiply(X_111,inverse(double_divide(B,A)))
| multiply(multiply(A,B),X_111) = multiply(X_111,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_111,inverse(double_divide(B,A))),multiply(X_111,multiply(A,B))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiply(multiply(A,B),X_111) = multiply(X_111,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),X_111),multiply(X_111,inverse(double_divide(B,A)))) )],[refute_0_545,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_552:[bind(A,$fot(a3)),bind(B,$fot(b3)),bind(X_111,$fot(c3))]]) ).
cnf(refute_0_554,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_555,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_555,prove_these_axioms_3]) ).
cnf(refute_0_557,plain,
multiply(X_5,multiply(multiply(inverse(double_divide(B,A)),X_6),double_divide(X_6,X_5))) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_5)),bind(X_2,$fot(X_6)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_558,plain,
( multiply(X_5,multiply(multiply(inverse(double_divide(B,A)),X_6),double_divide(X_6,X_5))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_5,multiply(multiply(inverse(double_divide(B,A)),X_6),double_divide(X_6,X_5))),inverse(double_divide(B,A))) ),[0,1,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_559,plain,
( multiply(X_5,multiply(multiply(inverse(double_divide(B,A)),X_6),double_divide(X_6,X_5))) != inverse(double_divide(B,A))
| multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_558]) ).
cnf(refute_0_560,plain,
multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(inverse(double_divide(B,A)),X_6),double_divide(X_6,X_5))),inverse(double_divide(B,A))) )],[refute_0_557,refute_0_559]) ).
cnf(refute_0_561,plain,
( multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_562,plain,
( multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) != inverse(double_divide(B,A))
| multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(X_5,multiply(multiply(multiply(A,B),X_6),double_divide(X_6,X_5))),inverse(double_divide(B,A))) )],[refute_0_560,refute_0_562]) ).
cnf(refute_0_564,plain,
multiply(X_150,multiply(multiply(multiply(multiply(X_17,inverse(X_17)),X_149),X_151),double_divide(X_151,X_150))) = multiply(multiply(X_17,inverse(X_17)),X_149),
inference(subst,[],[refute_0_563:[bind(A,$fot(multiply(X_17,inverse(X_17)))),bind(B,$fot(X_149)),bind(X_5,$fot(X_150)),bind(X_6,$fot(X_151))]]) ).
cnf(refute_0_565,plain,
X_149 = multiply(multiply(X_17,inverse(X_17)),X_149),
inference(subst,[],[refute_0_523:[bind(X_94,$fot(X_149))]]) ).
cnf(refute_0_566,plain,
( X_149 != multiply(multiply(X_17,inverse(X_17)),X_149)
| multiply(multiply(X_17,inverse(X_17)),X_149) = X_149 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_149)),bind(Y,$fot(multiply(multiply(X_17,inverse(X_17)),X_149)))]]) ).
cnf(refute_0_567,plain,
multiply(multiply(X_17,inverse(X_17)),X_149) = X_149,
inference(resolve,[$cnf( $equal(X_149,multiply(multiply(X_17,inverse(X_17)),X_149)) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiply(X_150,multiply(multiply(multiply(multiply(X_17,inverse(X_17)),X_149),X_151),double_divide(X_151,X_150))) != multiply(multiply(X_17,inverse(X_17)),X_149)
| multiply(multiply(X_17,inverse(X_17)),X_149) != X_149
| multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) = multiply(multiply(X_17,inverse(X_17)),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_150,multiply(multiply(multiply(multiply(X_17,inverse(X_17)),X_149),X_151),double_divide(X_151,X_150))),multiply(multiply(X_17,inverse(X_17)),X_149)) ),[0,1,0,0],$fot(X_149)]]) ).
cnf(refute_0_569,plain,
( multiply(X_150,multiply(multiply(multiply(multiply(X_17,inverse(X_17)),X_149),X_151),double_divide(X_151,X_150))) != multiply(multiply(X_17,inverse(X_17)),X_149)
| multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) = multiply(multiply(X_17,inverse(X_17)),X_149) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_17)),X_149),X_149) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) = multiply(multiply(X_17,inverse(X_17)),X_149),
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(multiply(multiply(multiply(X_17,inverse(X_17)),X_149),X_151),double_divide(X_151,X_150))),multiply(multiply(X_17,inverse(X_17)),X_149)) )],[refute_0_564,refute_0_569]) ).
cnf(refute_0_571,plain,
( multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) != multiply(multiply(X_17,inverse(X_17)),X_149)
| multiply(multiply(X_17,inverse(X_17)),X_149) != X_149
| multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) = X_149 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))),X_149) ),[0],$fot(multiply(multiply(X_17,inverse(X_17)),X_149))]]) ).
cnf(refute_0_572,plain,
( multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) != multiply(multiply(X_17,inverse(X_17)),X_149)
| multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) = X_149 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_17,inverse(X_17)),X_149),X_149) )],[refute_0_567,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))) = X_149,
inference(resolve,[$cnf( $equal(multiply(X_150,multiply(multiply(X_149,X_151),double_divide(X_151,X_150))),multiply(multiply(X_17,inverse(X_17)),X_149)) )],[refute_0_570,refute_0_572]) ).
cnf(refute_0_574,plain,
multiply(X_153,multiply(multiply(X_152,inverse(X_107)),double_divide(inverse(X_107),X_153))) = X_152,
inference(subst,[],[refute_0_573:[bind(X_149,$fot(X_152)),bind(X_150,$fot(X_153)),bind(X_151,$fot(inverse(X_107)))]]) ).
cnf(refute_0_575,plain,
multiply(inverse(X_107),X_152) = multiply(X_152,inverse(X_107)),
inference(subst,[],[refute_0_541:[bind(X_108,$fot(X_152))]]) ).
cnf(refute_0_576,plain,
( multiply(inverse(X_107),X_152) != multiply(X_152,inverse(X_107))
| multiply(X_152,inverse(X_107)) = multiply(inverse(X_107),X_152) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_107),X_152))),bind(Y,$fot(multiply(X_152,inverse(X_107))))]]) ).
cnf(refute_0_577,plain,
multiply(X_152,inverse(X_107)) = multiply(inverse(X_107),X_152),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),X_152),multiply(X_152,inverse(X_107))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
( multiply(X_152,inverse(X_107)) != multiply(inverse(X_107),X_152)
| multiply(X_153,multiply(multiply(X_152,inverse(X_107)),double_divide(inverse(X_107),X_153))) != X_152
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = X_152 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(multiply(X_152,inverse(X_107)),double_divide(inverse(X_107),X_153))),X_152) ),[0,1,0],$fot(multiply(inverse(X_107),X_152))]]) ).
cnf(refute_0_579,plain,
( multiply(X_153,multiply(multiply(X_152,inverse(X_107)),double_divide(inverse(X_107),X_153))) != X_152
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = X_152 ),
inference(resolve,[$cnf( $equal(multiply(X_152,inverse(X_107)),multiply(inverse(X_107),X_152)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = X_152,
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(X_152,inverse(X_107)),double_divide(inverse(X_107),X_153))),X_152) )],[refute_0_574,refute_0_579]) ).
cnf(refute_0_581,plain,
double_divide(inverse(X_107),X_153) = multiply(inverse(X_153),X_107),
inference(subst,[],[refute_0_438:[bind(X_95,$fot(X_107)),bind(X_96,$fot(X_153))]]) ).
cnf(refute_0_582,plain,
multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) = multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)))]]) ).
cnf(refute_0_583,plain,
( multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) != multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))
| double_divide(inverse(X_107),X_153) != multiply(inverse(X_153),X_107)
| multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) = multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)),multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) ),[1,1],$fot(multiply(inverse(X_153),X_107))]]) ).
cnf(refute_0_584,plain,
( double_divide(inverse(X_107),X_153) != multiply(inverse(X_153),X_107)
| multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) = multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)),multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) = multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_107),X_153),multiply(inverse(X_153),X_107)) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))),
introduced(tautology,[refl,[$fot(multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))))]]) ).
cnf(refute_0_587,plain,
( multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) != multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)))
| multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) != multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))),multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)))) ),[1,1],$fot(multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107)))]]) ).
cnf(refute_0_588,plain,
( multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)) != multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))) ),
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))),multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) = multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153)),multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
( multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) != X_152
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) != multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107)))
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))) = X_152 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))),X_152) ),[0],$fot(multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))))]]) ).
cnf(refute_0_591,plain,
( multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))) != X_152
| multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))) = X_152 ),
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))),multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107)))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(X_153,multiply(multiply(inverse(X_107),X_152),multiply(inverse(X_153),X_107))) = X_152,
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(X_107),X_152),double_divide(inverse(X_107),X_153))),X_152) )],[refute_0_580,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))) = X_152,
inference(subst,[],[refute_0_592:[bind(X_107,$fot(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))]]) ).
cnf(refute_0_594,plain,
multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) = X_168,
inference(subst,[],[refute_0_592:[bind(X_107,$fot(X_167)),bind(X_152,$fot(X_168)),bind(X_153,$fot(inverse(X_153)))]]) ).
cnf(refute_0_595,plain,
( multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))) != X_152
| multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) != X_168
| multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = X_152 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))),X_152) ),[0,1,1],$fot(X_168)]]) ).
cnf(refute_0_596,plain,
( multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))) != X_152
| multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = X_152 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_168) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = X_152,
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(X_153),multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))),X_152) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
inverse(multiply(multiply(A,B),multiply(X_117,double_divide(B,A)))) = double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B)),
inference(subst,[],[refute_0_485:[bind(A,$fot(multiply(A,B))),bind(B,$fot(multiply(X_117,double_divide(B,A))))]]) ).
cnf(refute_0_599,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) = inverse(X_4),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(X_16))),bind(X_2,$fot(multiply(inverse(X_17),X_17)))]]) ).
cnf(refute_0_600,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) != inverse(X_4)
| double_divide(multiply(inverse(X_17),X_17),inverse(X_16)) != X_16
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))),inverse(X_4)) ),[0,1,1],$fot(X_16)]]) ).
cnf(refute_0_601,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))) != inverse(X_4)
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_17),X_17),inverse(X_16)),X_16) )],[refute_0_48,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),double_divide(multiply(inverse(X_17),X_17),inverse(X_16)))),inverse(X_4)) )],[refute_0_599,refute_0_601]) ).
cnf(refute_0_603,plain,
multiply(inverse(X_4),multiply(inverse(X_17),X_17)) = inverse(X_4),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(X_4))]]) ).
cnf(refute_0_604,plain,
multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))]]) ).
cnf(refute_0_605,plain,
( multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) != multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)
| multiply(inverse(X_4),multiply(inverse(X_17),X_17)) != inverse(X_4)
| multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(X_4),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) ),[1,0],$fot(inverse(X_4))]]) ).
cnf(refute_0_606,plain,
( multiply(inverse(X_4),multiply(inverse(X_17),X_17)) != inverse(X_4)
| multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(X_4),X_16) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) = multiply(inverse(X_4),X_16),
inference(resolve,[$cnf( $equal(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),inverse(X_4)) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)))]]) ).
cnf(refute_0_609,plain,
( multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(X_4),X_16)
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(inverse(X_4),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))) ),[1,1],$fot(multiply(inverse(X_4),X_16))]]) ).
cnf(refute_0_610,plain,
( multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16) != multiply(inverse(X_4),X_16)
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(inverse(X_4),X_16)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) = multiply(inverse(X_16),multiply(inverse(X_4),X_16)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16),multiply(inverse(X_4),X_16)) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != multiply(inverse(X_16),multiply(inverse(X_4),X_16))
| multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != inverse(X_4)
| multiply(inverse(X_16),multiply(inverse(X_4),X_16)) = inverse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),inverse(X_4)) ),[0],$fot(multiply(inverse(X_16),multiply(inverse(X_4),X_16)))]]) ).
cnf(refute_0_613,plain,
( multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)) != inverse(X_4)
| multiply(inverse(X_16),multiply(inverse(X_4),X_16)) = inverse(X_4) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),multiply(inverse(X_16),multiply(inverse(X_4),X_16))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
multiply(inverse(X_16),multiply(inverse(X_4),X_16)) = inverse(X_4),
inference(resolve,[$cnf( $equal(multiply(inverse(X_16),multiply(multiply(inverse(X_4),multiply(inverse(X_17),X_17)),X_16)),inverse(X_4)) )],[refute_0_602,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(inverse(X_112),multiply(inverse(double_divide(B,A)),X_112)) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_614:[bind(X_16,$fot(X_112)),bind(X_4,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_616,plain,
( multiply(inverse(X_112),multiply(inverse(double_divide(B,A)),X_112)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_112),multiply(multiply(A,B),X_112)) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_112),multiply(inverse(double_divide(B,A)),X_112)),inverse(double_divide(B,A))) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_617,plain,
( multiply(inverse(X_112),multiply(inverse(double_divide(B,A)),X_112)) != inverse(double_divide(B,A))
| multiply(inverse(X_112),multiply(multiply(A,B),X_112)) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(inverse(X_112),multiply(multiply(A,B),X_112)) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_112),multiply(inverse(double_divide(B,A)),X_112)),inverse(double_divide(B,A))) )],[refute_0_615,refute_0_617]) ).
cnf(refute_0_619,plain,
( multiply(inverse(X_112),multiply(multiply(A,B),X_112)) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_112),multiply(multiply(A,B),X_112)) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_112),multiply(multiply(A,B),X_112)),multiply(A,B)) ),[0],$fot(inverse(double_divide(B,A)))]]) ).
cnf(refute_0_620,plain,
( multiply(inverse(X_112),multiply(multiply(A,B),X_112)) != inverse(double_divide(B,A))
| multiply(inverse(X_112),multiply(multiply(A,B),X_112)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(inverse(X_112),multiply(multiply(A,B),X_112)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_112),multiply(multiply(A,B),X_112)),inverse(double_divide(B,A))) )],[refute_0_618,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(inverse(X_116),multiply(multiply(X_114,multiply(X_15,inverse(X_15))),X_116)) = multiply(X_114,multiply(X_15,inverse(X_15))),
inference(subst,[],[refute_0_621:[bind(A,$fot(X_114)),bind(B,$fot(multiply(X_15,inverse(X_15)))),bind(X_112,$fot(X_116))]]) ).
cnf(refute_0_623,plain,
double_divide(X_15,inverse(X_15)) = multiply(X_15,inverse(X_15)),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_15)),bind(X_97,$fot(X_15))]]) ).
cnf(refute_0_624,plain,
inverse(multiply(inverse(X_15),X_15)) = double_divide(X_15,inverse(X_15)),
inference(subst,[],[refute_0_485:[bind(A,$fot(inverse(X_15))),bind(B,$fot(X_15))]]) ).
cnf(refute_0_625,plain,
( double_divide(X_15,inverse(X_15)) != multiply(X_15,inverse(X_15))
| inverse(multiply(inverse(X_15),X_15)) != double_divide(X_15,inverse(X_15))
| inverse(multiply(inverse(X_15),X_15)) = multiply(X_15,inverse(X_15)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(inverse(X_15),X_15)))),bind(Y,$fot(double_divide(X_15,inverse(X_15)))),bind(Z,$fot(multiply(X_15,inverse(X_15))))]]) ).
cnf(refute_0_626,plain,
( double_divide(X_15,inverse(X_15)) != multiply(X_15,inverse(X_15))
| inverse(multiply(inverse(X_15),X_15)) = multiply(X_15,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_15),X_15)),double_divide(X_15,inverse(X_15))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
inverse(multiply(inverse(X_15),X_15)) = multiply(X_15,inverse(X_15)),
inference(resolve,[$cnf( $equal(double_divide(X_15,inverse(X_15)),multiply(X_15,inverse(X_15))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(X_13,inverse(multiply(inverse(X_15),X_15))) = multiply(X_13,inverse(multiply(inverse(X_15),X_15))),
introduced(tautology,[refl,[$fot(multiply(X_13,inverse(multiply(inverse(X_15),X_15))))]]) ).
cnf(refute_0_629,plain,
( multiply(X_13,inverse(multiply(inverse(X_15),X_15))) != multiply(X_13,inverse(multiply(inverse(X_15),X_15)))
| inverse(multiply(inverse(X_15),X_15)) != multiply(X_15,inverse(X_15))
| multiply(X_13,inverse(multiply(inverse(X_15),X_15))) = multiply(X_13,multiply(X_15,inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(X_15),X_15))),multiply(X_13,inverse(multiply(inverse(X_15),X_15)))) ),[1,1],$fot(multiply(X_15,inverse(X_15)))]]) ).
cnf(refute_0_630,plain,
( inverse(multiply(inverse(X_15),X_15)) != multiply(X_15,inverse(X_15))
| multiply(X_13,inverse(multiply(inverse(X_15),X_15))) = multiply(X_13,multiply(X_15,inverse(X_15))) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(X_15),X_15))),multiply(X_13,inverse(multiply(inverse(X_15),X_15)))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
multiply(X_13,inverse(multiply(inverse(X_15),X_15))) = multiply(X_13,multiply(X_15,inverse(X_15))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_15),X_15)),multiply(X_15,inverse(X_15))) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = multiply(X_13,inverse(multiply(inverse(X_15),X_15))),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_13)),bind(X_97,$fot(multiply(inverse(X_15),X_15)))]]) ).
cnf(refute_0_633,plain,
( multiply(X_13,inverse(multiply(inverse(X_15),X_15))) != multiply(X_13,multiply(X_15,inverse(X_15)))
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) != multiply(X_13,inverse(multiply(inverse(X_15),X_15)))
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = multiply(X_13,multiply(X_15,inverse(X_15))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(inverse(X_15),X_15),inverse(X_13)))),bind(Y,$fot(multiply(X_13,inverse(multiply(inverse(X_15),X_15))))),bind(Z,$fot(multiply(X_13,multiply(X_15,inverse(X_15)))))]]) ).
cnf(refute_0_634,plain,
( multiply(X_13,inverse(multiply(inverse(X_15),X_15))) != multiply(X_13,multiply(X_15,inverse(X_15)))
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = multiply(X_13,multiply(X_15,inverse(X_15))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_13)),multiply(X_13,inverse(multiply(inverse(X_15),X_15)))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) = multiply(X_13,multiply(X_15,inverse(X_15))),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(X_15),X_15))),multiply(X_13,multiply(X_15,inverse(X_15)))) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
( double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) != X_13
| double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) != multiply(X_13,multiply(X_15,inverse(X_15)))
| multiply(X_13,multiply(X_15,inverse(X_15))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_13)),X_13) ),[0],$fot(multiply(X_13,multiply(X_15,inverse(X_15))))]]) ).
cnf(refute_0_637,plain,
( double_divide(multiply(inverse(X_15),X_15),inverse(X_13)) != X_13
| multiply(X_13,multiply(X_15,inverse(X_15))) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_13)),multiply(X_13,multiply(X_15,inverse(X_15)))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(X_13,multiply(X_15,inverse(X_15))) = X_13,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_15),X_15),inverse(X_13)),X_13) )],[refute_0_43,refute_0_637]) ).
cnf(refute_0_639,plain,
multiply(X_114,multiply(X_15,inverse(X_15))) = X_114,
inference(subst,[],[refute_0_638:[bind(X_13,$fot(X_114))]]) ).
cnf(refute_0_640,plain,
( multiply(X_114,multiply(X_15,inverse(X_15))) != X_114
| multiply(inverse(X_116),multiply(multiply(X_114,multiply(X_15,inverse(X_15))),X_116)) != multiply(X_114,multiply(X_15,inverse(X_15)))
| multiply(inverse(X_116),multiply(X_114,X_116)) = multiply(X_114,multiply(X_15,inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_116),multiply(multiply(X_114,multiply(X_15,inverse(X_15))),X_116)),multiply(X_114,multiply(X_15,inverse(X_15)))) ),[0,1,0],$fot(X_114)]]) ).
cnf(refute_0_641,plain,
( multiply(inverse(X_116),multiply(multiply(X_114,multiply(X_15,inverse(X_15))),X_116)) != multiply(X_114,multiply(X_15,inverse(X_15)))
| multiply(inverse(X_116),multiply(X_114,X_116)) = multiply(X_114,multiply(X_15,inverse(X_15))) ),
inference(resolve,[$cnf( $equal(multiply(X_114,multiply(X_15,inverse(X_15))),X_114) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(inverse(X_116),multiply(X_114,X_116)) = multiply(X_114,multiply(X_15,inverse(X_15))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_116),multiply(multiply(X_114,multiply(X_15,inverse(X_15))),X_116)),multiply(X_114,multiply(X_15,inverse(X_15)))) )],[refute_0_622,refute_0_641]) ).
cnf(refute_0_643,plain,
( multiply(X_114,multiply(X_15,inverse(X_15))) != X_114
| multiply(inverse(X_116),multiply(X_114,X_116)) != multiply(X_114,multiply(X_15,inverse(X_15)))
| multiply(inverse(X_116),multiply(X_114,X_116)) = X_114 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_116),multiply(X_114,X_116)),multiply(X_114,multiply(X_15,inverse(X_15)))) ),[1],$fot(X_114)]]) ).
cnf(refute_0_644,plain,
( multiply(inverse(X_116),multiply(X_114,X_116)) != multiply(X_114,multiply(X_15,inverse(X_15)))
| multiply(inverse(X_116),multiply(X_114,X_116)) = X_114 ),
inference(resolve,[$cnf( $equal(multiply(X_114,multiply(X_15,inverse(X_15))),X_114) )],[refute_0_639,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(inverse(X_116),multiply(X_114,X_116)) = X_114,
inference(resolve,[$cnf( $equal(multiply(inverse(X_116),multiply(X_114,X_116)),multiply(X_114,multiply(X_15,inverse(X_15)))) )],[refute_0_642,refute_0_644]) ).
cnf(refute_0_646,plain,
multiply(inverse(double_divide(B,A)),multiply(X_117,double_divide(B,A))) = X_117,
inference(subst,[],[refute_0_645:[bind(X_114,$fot(X_117)),bind(X_116,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_647,plain,
( multiply(inverse(double_divide(B,A)),multiply(X_117,double_divide(B,A))) != X_117
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),multiply(X_117,double_divide(B,A))) = X_117 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),multiply(X_117,double_divide(B,A))),X_117) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_648,plain,
( multiply(inverse(double_divide(B,A)),multiply(X_117,double_divide(B,A))) != X_117
| multiply(multiply(A,B),multiply(X_117,double_divide(B,A))) = X_117 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_647]) ).
cnf(refute_0_649,plain,
multiply(multiply(A,B),multiply(X_117,double_divide(B,A))) = X_117,
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),multiply(X_117,double_divide(B,A))),X_117) )],[refute_0_646,refute_0_648]) ).
cnf(refute_0_650,plain,
( multiply(multiply(A,B),multiply(X_117,double_divide(B,A))) != X_117
| inverse(multiply(multiply(A,B),multiply(X_117,double_divide(B,A)))) != double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B))
| inverse(X_117) = double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(A,B),multiply(X_117,double_divide(B,A)))),double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B))) ),[0,0],$fot(X_117)]]) ).
cnf(refute_0_651,plain,
( inverse(multiply(multiply(A,B),multiply(X_117,double_divide(B,A)))) != double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B))
| inverse(X_117) = double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),multiply(X_117,double_divide(B,A))),X_117) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
inverse(X_117) = double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(A,B),multiply(X_117,double_divide(B,A)))),double_divide(multiply(X_117,double_divide(B,A)),multiply(A,B))) )],[refute_0_598,refute_0_651]) ).
cnf(refute_0_653,plain,
inverse(X_117) = double_divide(multiply(X_117,double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))),
inference(subst,[],[refute_0_652:[bind(A,$fot(multiply(X_138,X_139))),bind(B,$fot(multiply(X_140,double_divide(X_139,X_138))))]]) ).
cnf(refute_0_654,plain,
inverse(X_140) = double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139)),
inference(subst,[],[refute_0_652:[bind(A,$fot(X_138)),bind(B,$fot(X_139)),bind(X_117,$fot(X_140))]]) ).
cnf(refute_0_655,plain,
( inverse(X_140) != double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))
| double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139)) = inverse(X_140) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(X_140))),bind(Y,$fot(double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))))]]) ).
cnf(refute_0_656,plain,
double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139)) = inverse(X_140),
inference(resolve,[$cnf( $equal(inverse(X_140),double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
( double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139)) != inverse(X_140)
| inverse(X_117) != double_divide(multiply(X_117,double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))
| inverse(X_117) = double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_117),double_divide(multiply(X_117,double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))) ),[1,0,1],$fot(inverse(X_140))]]) ).
cnf(refute_0_658,plain,
( inverse(X_117) != double_divide(multiply(X_117,double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))
| inverse(X_117) = double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139)),inverse(X_140)) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
inverse(X_117) = double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))),
inference(resolve,[$cnf( $equal(inverse(X_117),double_divide(multiply(X_117,double_divide(multiply(X_140,double_divide(X_139,X_138)),multiply(X_138,X_139))),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))) )],[refute_0_653,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))) = X_140,
inference(subst,[],[refute_0_649:[bind(A,$fot(X_138)),bind(B,$fot(X_139)),bind(X_117,$fot(X_140))]]) ).
cnf(refute_0_661,plain,
double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) = double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))))]]) ).
cnf(refute_0_662,plain,
( multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))) != X_140
| double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) != double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))
| double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) = double_divide(multiply(X_117,inverse(X_140)),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))),double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))) ),[1,1],$fot(X_140)]]) ).
cnf(refute_0_663,plain,
( multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))) != X_140
| double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) = double_divide(multiply(X_117,inverse(X_140)),X_140) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))),double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) = double_divide(multiply(X_117,inverse(X_140)),X_140),
inference(resolve,[$cnf( $equal(multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))),X_140) )],[refute_0_660,refute_0_663]) ).
cnf(refute_0_665,plain,
( double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))) != double_divide(multiply(X_117,inverse(X_140)),X_140)
| inverse(X_117) != double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))
| inverse(X_117) = double_divide(multiply(X_117,inverse(X_140)),X_140) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_117),double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))) ),[1],$fot(double_divide(multiply(X_117,inverse(X_140)),X_140))]]) ).
cnf(refute_0_666,plain,
( inverse(X_117) != double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))
| inverse(X_117) = double_divide(multiply(X_117,inverse(X_140)),X_140) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138)))),double_divide(multiply(X_117,inverse(X_140)),X_140)) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
inverse(X_117) = double_divide(multiply(X_117,inverse(X_140)),X_140),
inference(resolve,[$cnf( $equal(inverse(X_117),double_divide(multiply(X_117,inverse(X_140)),multiply(multiply(X_138,X_139),multiply(X_140,double_divide(X_139,X_138))))) )],[refute_0_659,refute_0_666]) ).
cnf(refute_0_668,plain,
inverse(X_141) = double_divide(multiply(X_141,inverse(X_142)),X_142),
inference(subst,[],[refute_0_667:[bind(X_117,$fot(X_141)),bind(X_140,$fot(X_142))]]) ).
cnf(refute_0_669,plain,
multiply(inverse(X_142),X_141) = multiply(X_141,inverse(X_142)),
inference(subst,[],[refute_0_541:[bind(X_107,$fot(X_142)),bind(X_108,$fot(X_141))]]) ).
cnf(refute_0_670,plain,
( multiply(inverse(X_142),X_141) != multiply(X_141,inverse(X_142))
| multiply(X_141,inverse(X_142)) = multiply(inverse(X_142),X_141) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_142),X_141))),bind(Y,$fot(multiply(X_141,inverse(X_142))))]]) ).
cnf(refute_0_671,plain,
multiply(X_141,inverse(X_142)) = multiply(inverse(X_142),X_141),
inference(resolve,[$cnf( $equal(multiply(inverse(X_142),X_141),multiply(X_141,inverse(X_142))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
( multiply(X_141,inverse(X_142)) != multiply(inverse(X_142),X_141)
| inverse(X_141) != double_divide(multiply(X_141,inverse(X_142)),X_142)
| inverse(X_141) = double_divide(multiply(inverse(X_142),X_141),X_142) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_141),double_divide(multiply(X_141,inverse(X_142)),X_142)) ),[1,0],$fot(multiply(inverse(X_142),X_141))]]) ).
cnf(refute_0_673,plain,
( inverse(X_141) != double_divide(multiply(X_141,inverse(X_142)),X_142)
| inverse(X_141) = double_divide(multiply(inverse(X_142),X_141),X_142) ),
inference(resolve,[$cnf( $equal(multiply(X_141,inverse(X_142)),multiply(inverse(X_142),X_141)) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
inverse(X_141) = double_divide(multiply(inverse(X_142),X_141),X_142),
inference(resolve,[$cnf( $equal(inverse(X_141),double_divide(multiply(X_141,inverse(X_142)),X_142)) )],[refute_0_668,refute_0_673]) ).
cnf(refute_0_675,plain,
inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),X_142),
inference(subst,[],[refute_0_674:[bind(X_141,$fot(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))))]]) ).
cnf(refute_0_676,plain,
multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = X_152,
inference(subst,[],[refute_0_573:[bind(X_149,$fot(X_152)),bind(X_150,$fot(inverse(X_142))),bind(X_151,$fot(X_154))]]) ).
cnf(refute_0_677,plain,
( multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != X_152
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != double_divide(multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),X_142)
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(X_152,X_142) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),double_divide(multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),X_142)) ),[1,0],$fot(X_152)]]) ).
cnf(refute_0_678,plain,
( inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != double_divide(multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),X_142)
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(X_152,X_142) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),X_152) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(X_152,X_142),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),double_divide(multiply(inverse(X_142),multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),X_142)) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
double_divide(X_154,inverse(X_142)) = multiply(X_142,inverse(X_154)),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_142)),bind(X_97,$fot(X_154))]]) ).
cnf(refute_0_681,plain,
double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) = double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)))]]) ).
cnf(refute_0_682,plain,
( double_divide(X_154,inverse(X_142)) != multiply(X_142,inverse(X_154))
| double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) != double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154))
| double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) = double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)),double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154))) ),[1,0],$fot(multiply(X_142,inverse(X_154)))]]) ).
cnf(refute_0_683,plain,
( double_divide(X_154,inverse(X_142)) != multiply(X_142,inverse(X_154))
| double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) = double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)),double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) = double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)),
inference(resolve,[$cnf( $equal(double_divide(X_154,inverse(X_142)),multiply(X_142,inverse(X_154))) )],[refute_0_680,refute_0_683]) ).
cnf(refute_0_685,plain,
inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)),
inference(subst,[],[refute_0_485:[bind(A,$fot(multiply(X_152,X_154))),bind(B,$fot(double_divide(X_154,inverse(X_142))))]]) ).
cnf(refute_0_686,plain,
( double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) != double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154))
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154))
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))))),bind(Y,$fot(double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)))),bind(Z,$fot(double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154))))]]) ).
cnf(refute_0_687,plain,
( double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)) != double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154))
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) = double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_154,inverse(X_142)),multiply(X_152,X_154)),double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154))) )],[refute_0_684,refute_0_687]) ).
cnf(refute_0_689,plain,
( inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != double_divide(X_152,X_142)
| inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154))
| double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) = double_divide(X_152,X_142) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),double_divide(X_152,X_142)) ),[0],$fot(double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)))]]) ).
cnf(refute_0_690,plain,
( inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))) != double_divide(X_152,X_142)
| double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) = double_divide(X_152,X_142) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
double_divide(multiply(X_142,inverse(X_154)),multiply(X_152,X_154)) = double_divide(X_152,X_142),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_152,X_154),double_divide(X_154,inverse(X_142)))),double_divide(X_152,X_142)) )],[refute_0_679,refute_0_690]) ).
cnf(refute_0_692,plain,
double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_156,inverse(X_156))) = double_divide(X_156,X_155),
inference(subst,[],[refute_0_691:[bind(X_142,$fot(X_155)),bind(X_152,$fot(X_156)),bind(X_154,$fot(inverse(X_156)))]]) ).
cnf(refute_0_693,plain,
( double_divide(X_17,inverse(X_17)) != multiply(X_17,inverse(X_17))
| double_divide(X_17,inverse(X_17)) != double_divide(B,inverse(B))
| multiply(X_17,inverse(X_17)) = double_divide(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,inverse(X_17)),double_divide(B,inverse(B))) ),[0],$fot(multiply(X_17,inverse(X_17)))]]) ).
cnf(refute_0_694,plain,
( double_divide(X_17,inverse(X_17)) != double_divide(B,inverse(B))
| multiply(X_17,inverse(X_17)) = double_divide(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),multiply(X_17,inverse(X_17))) )],[refute_0_516,refute_0_693]) ).
cnf(refute_0_695,plain,
double_divide(B,inverse(B)) = multiply(B,inverse(B)),
inference(subst,[],[refute_0_491:[bind(A,$fot(B)),bind(X_97,$fot(B))]]) ).
cnf(refute_0_696,plain,
( multiply(X_17,inverse(X_17)) != double_divide(B,inverse(B))
| double_divide(B,inverse(B)) != multiply(B,inverse(B))
| multiply(X_17,inverse(X_17)) = multiply(B,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_17,inverse(X_17)),multiply(B,inverse(B))) ),[0],$fot(double_divide(B,inverse(B)))]]) ).
cnf(refute_0_697,plain,
( multiply(X_17,inverse(X_17)) != double_divide(B,inverse(B))
| multiply(X_17,inverse(X_17)) = multiply(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(B)),multiply(B,inverse(B))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
( double_divide(X_17,inverse(X_17)) != double_divide(B,inverse(B))
| multiply(X_17,inverse(X_17)) = multiply(B,inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(X_17)),double_divide(B,inverse(B))) )],[refute_0_694,refute_0_697]) ).
cnf(refute_0_699,plain,
multiply(X_17,inverse(X_17)) = multiply(B,inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),double_divide(B,inverse(B))) )],[refute_0_250,refute_0_698]) ).
cnf(refute_0_700,plain,
multiply(X_17,inverse(X_17)) = multiply(X_156,inverse(X_156)),
inference(subst,[],[refute_0_699:[bind(B,$fot(X_156))]]) ).
cnf(refute_0_701,plain,
( multiply(X_17,inverse(X_17)) != multiply(X_156,inverse(X_156))
| multiply(X_156,inverse(X_156)) = multiply(X_17,inverse(X_17)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_17,inverse(X_17)))),bind(Y,$fot(multiply(X_156,inverse(X_156))))]]) ).
cnf(refute_0_702,plain,
multiply(X_156,inverse(X_156)) = multiply(X_17,inverse(X_17)),
inference(resolve,[$cnf( $equal(multiply(X_17,inverse(X_17)),multiply(X_156,inverse(X_156))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
( multiply(X_156,inverse(X_156)) != multiply(X_17,inverse(X_17))
| double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_156,inverse(X_156))) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = double_divide(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_156,inverse(X_156))),double_divide(X_156,X_155)) ),[0,1],$fot(multiply(X_17,inverse(X_17)))]]) ).
cnf(refute_0_704,plain,
( double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_156,inverse(X_156))) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = double_divide(X_156,X_155) ),
inference(resolve,[$cnf( $equal(multiply(X_156,inverse(X_156)),multiply(X_17,inverse(X_17))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = double_divide(X_156,X_155),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_156,inverse(X_156))),double_divide(X_156,X_155)) )],[refute_0_692,refute_0_704]) ).
cnf(refute_0_706,plain,
double_divide(inverse(inverse(X_156)),X_155) = multiply(inverse(X_155),inverse(X_156)),
inference(subst,[],[refute_0_438:[bind(X_95,$fot(inverse(X_156))),bind(X_96,$fot(X_155))]]) ).
cnf(refute_0_707,plain,
inverse(multiply(X_155,inverse(inverse(X_156)))) = double_divide(inverse(inverse(X_156)),X_155),
inference(subst,[],[refute_0_485:[bind(A,$fot(X_155)),bind(B,$fot(inverse(inverse(X_156))))]]) ).
cnf(refute_0_708,plain,
( double_divide(inverse(inverse(X_156)),X_155) != multiply(inverse(X_155),inverse(X_156))
| inverse(multiply(X_155,inverse(inverse(X_156)))) != double_divide(inverse(inverse(X_156)),X_155)
| inverse(multiply(X_155,inverse(inverse(X_156)))) = multiply(inverse(X_155),inverse(X_156)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(X_155,inverse(inverse(X_156)))))),bind(Y,$fot(double_divide(inverse(inverse(X_156)),X_155))),bind(Z,$fot(multiply(inverse(X_155),inverse(X_156))))]]) ).
cnf(refute_0_709,plain,
( double_divide(inverse(inverse(X_156)),X_155) != multiply(inverse(X_155),inverse(X_156))
| inverse(multiply(X_155,inverse(inverse(X_156)))) = multiply(inverse(X_155),inverse(X_156)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_155,inverse(inverse(X_156)))),double_divide(inverse(inverse(X_156)),X_155)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
inverse(multiply(X_155,inverse(inverse(X_156)))) = multiply(inverse(X_155),inverse(X_156)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_156)),X_155),multiply(inverse(X_155),inverse(X_156))) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
double_divide(multiply(multiply(multiply(multiply(inverse(X_93),X_93),B),X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(inverse(X_93),X_93)),
inference(subst,[],[refute_0_321:[bind(A,$fot(multiply(inverse(X_93),X_93)))]]) ).
cnf(refute_0_712,plain,
( multiply(multiply(inverse(X_93),X_93),B) != B
| double_divide(multiply(multiply(multiply(multiply(inverse(X_93),X_93),B),X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,multiply(inverse(X_93),X_93))
| double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(inverse(X_93),X_93)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(multiply(inverse(X_93),X_93),B),X_2),double_divide(X_2,X_3)),X_3),double_divide(B,multiply(inverse(X_93),X_93))) ),[0,0,0,0],$fot(B)]]) ).
cnf(refute_0_713,plain,
( double_divide(multiply(multiply(multiply(multiply(inverse(X_93),X_93),B),X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,multiply(inverse(X_93),X_93))
| double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(inverse(X_93),X_93)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_93),X_93),B),B) )],[refute_0_471,refute_0_712]) ).
cnf(refute_0_714,plain,
double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(inverse(X_93),X_93)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(multiply(inverse(X_93),X_93),B),X_2),double_divide(X_2,X_3)),X_3),double_divide(B,multiply(inverse(X_93),X_93))) )],[refute_0_711,refute_0_713]) ).
cnf(refute_0_715,plain,
multiply(inverse(X_93),X_93) = multiply(X_93,inverse(X_93)),
inference(subst,[],[refute_0_541:[bind(X_107,$fot(X_93)),bind(X_108,$fot(X_93))]]) ).
cnf(refute_0_716,plain,
double_divide(B,multiply(inverse(X_93),X_93)) = double_divide(B,multiply(inverse(X_93),X_93)),
introduced(tautology,[refl,[$fot(double_divide(B,multiply(inverse(X_93),X_93)))]]) ).
cnf(refute_0_717,plain,
( multiply(inverse(X_93),X_93) != multiply(X_93,inverse(X_93))
| double_divide(B,multiply(inverse(X_93),X_93)) != double_divide(B,multiply(inverse(X_93),X_93))
| double_divide(B,multiply(inverse(X_93),X_93)) = double_divide(B,multiply(X_93,inverse(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(B,multiply(inverse(X_93),X_93)),double_divide(B,multiply(inverse(X_93),X_93))) ),[1,1],$fot(multiply(X_93,inverse(X_93)))]]) ).
cnf(refute_0_718,plain,
( multiply(inverse(X_93),X_93) != multiply(X_93,inverse(X_93))
| double_divide(B,multiply(inverse(X_93),X_93)) = double_divide(B,multiply(X_93,inverse(X_93))) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(inverse(X_93),X_93)),double_divide(B,multiply(inverse(X_93),X_93))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
double_divide(B,multiply(inverse(X_93),X_93)) = double_divide(B,multiply(X_93,inverse(X_93))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_93),X_93),multiply(X_93,inverse(X_93))) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
( double_divide(B,multiply(inverse(X_93),X_93)) != double_divide(B,multiply(X_93,inverse(X_93)))
| double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,multiply(inverse(X_93),X_93))
| double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(X_93,inverse(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3),double_divide(B,multiply(inverse(X_93),X_93))) ),[1],$fot(double_divide(B,multiply(X_93,inverse(X_93))))]]) ).
cnf(refute_0_721,plain,
( double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,multiply(inverse(X_93),X_93))
| double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(X_93,inverse(X_93))) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(inverse(X_93),X_93)),double_divide(B,multiply(X_93,inverse(X_93)))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = double_divide(B,multiply(X_93,inverse(X_93))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3),double_divide(B,multiply(inverse(X_93),X_93))) )],[refute_0_714,refute_0_721]) ).
cnf(refute_0_723,plain,
double_divide(multiply(multiply(multiply(inverse(X_118),multiply(X_117,X_118)),X_2),double_divide(X_2,X_3)),X_3) = double_divide(multiply(X_117,X_118),inverse(X_118)),
inference(subst,[],[refute_0_321:[bind(A,$fot(inverse(X_118))),bind(B,$fot(multiply(X_117,X_118)))]]) ).
cnf(refute_0_724,plain,
multiply(inverse(X_118),multiply(X_117,X_118)) = X_117,
inference(subst,[],[refute_0_645:[bind(X_114,$fot(X_117)),bind(X_116,$fot(X_118))]]) ).
cnf(refute_0_725,plain,
( multiply(inverse(X_118),multiply(X_117,X_118)) != X_117
| double_divide(multiply(multiply(multiply(inverse(X_118),multiply(X_117,X_118)),X_2),double_divide(X_2,X_3)),X_3) != double_divide(multiply(X_117,X_118),inverse(X_118))
| double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) = double_divide(multiply(X_117,X_118),inverse(X_118)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(multiply(inverse(X_118),multiply(X_117,X_118)),X_2),double_divide(X_2,X_3)),X_3),double_divide(multiply(X_117,X_118),inverse(X_118))) ),[0,0,0,0],$fot(X_117)]]) ).
cnf(refute_0_726,plain,
( double_divide(multiply(multiply(multiply(inverse(X_118),multiply(X_117,X_118)),X_2),double_divide(X_2,X_3)),X_3) != double_divide(multiply(X_117,X_118),inverse(X_118))
| double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) = double_divide(multiply(X_117,X_118),inverse(X_118)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_118),multiply(X_117,X_118)),X_117) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) = double_divide(multiply(X_117,X_118),inverse(X_118)),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(multiply(inverse(X_118),multiply(X_117,X_118)),X_2),double_divide(X_2,X_3)),X_3),double_divide(multiply(X_117,X_118),inverse(X_118))) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
multiply(X_88,multiply(inverse(X_89),double_divide(multiply(inverse(X_89),X_89),X_88))) = inverse(X_89),
inference(subst,[],[refute_0_192:[bind(X_28,$fot(X_88)),bind(X_29,$fot(X_89)),bind(X_31,$fot(X_89))]]) ).
cnf(refute_0_729,plain,
double_divide(X_68,inverse(X_68)) = multiply(inverse(X_89),X_89),
inference(subst,[],[refute_0_160:[bind(X_67,$fot(X_89))]]) ).
cnf(refute_0_730,plain,
( double_divide(X_68,inverse(X_68)) != multiply(inverse(X_89),X_89)
| multiply(inverse(X_89),X_89) = double_divide(X_68,inverse(X_68)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(X_68,inverse(X_68)))),bind(Y,$fot(multiply(inverse(X_89),X_89)))]]) ).
cnf(refute_0_731,plain,
multiply(inverse(X_89),X_89) = double_divide(X_68,inverse(X_68)),
inference(resolve,[$cnf( $equal(double_divide(X_68,inverse(X_68)),multiply(inverse(X_89),X_89)) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
( multiply(X_88,multiply(inverse(X_89),double_divide(multiply(inverse(X_89),X_89),X_88))) != inverse(X_89)
| multiply(inverse(X_89),X_89) != double_divide(X_68,inverse(X_68))
| multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = inverse(X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(multiply(inverse(X_89),X_89),X_88))),inverse(X_89)) ),[0,1,1,0],$fot(double_divide(X_68,inverse(X_68)))]]) ).
cnf(refute_0_733,plain,
( multiply(X_88,multiply(inverse(X_89),double_divide(multiply(inverse(X_89),X_89),X_88))) != inverse(X_89)
| multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = inverse(X_89) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_89),X_89),double_divide(X_68,inverse(X_68))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = inverse(X_89),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(multiply(inverse(X_89),X_89),X_88))),inverse(X_89)) )],[refute_0_728,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(X_88,multiply(inverse(X_68),X_68)) = X_88,
inference(subst,[],[refute_0_477:[bind(B,$fot(X_88)),bind(X_19,$fot(X_68))]]) ).
cnf(refute_0_736,plain,
multiply(X_88,multiply(inverse(X_90),double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88))) = inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),
inference(subst,[],[refute_0_192:[bind(X_28,$fot(X_88)),bind(X_29,$fot(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))),bind(X_31,$fot(X_90))]]) ).
cnf(refute_0_737,plain,
double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B) = C,
inference(subst,[],[refute_0_23:[bind(A,$fot(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))))]]) ).
cnf(refute_0_738,plain,
multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))) = inverse(X_7),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(C))),bind(X_2,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_739,plain,
( multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))) != inverse(X_7)
| double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B) != C
| double_divide(multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B),C) ),[0,0,0],$fot(inverse(X_7))]]) ).
cnf(refute_0_740,plain,
( double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B) != C
| double_divide(multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))),inverse(X_7)) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
double_divide(multiply(inverse(X_7),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B) = C,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(C),multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C)))),double_divide(multiply(multiply(inverse(X_7),X_6),double_divide(X_6,inverse(C))),B)),B),C) )],[refute_0_737,refute_0_740]) ).
cnf(refute_0_742,plain,
double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88) = C,
inference(subst,[],[refute_0_741:[bind(B,$fot(X_88)),bind(X_7,$fot(X_90))]]) ).
cnf(refute_0_743,plain,
( multiply(X_88,multiply(inverse(X_90),double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88))) != inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))
| double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88) != C
| multiply(X_88,multiply(inverse(X_90),C)) = inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(X_90),double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88))),inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))) ),[0,1,1],$fot(C)]]) ).
cnf(refute_0_744,plain,
( multiply(X_88,multiply(inverse(X_90),double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88))) != inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))
| multiply(X_88,multiply(inverse(X_90),C)) = inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88),C) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
multiply(X_88,multiply(inverse(X_90),C)) = inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_90),double_divide(multiply(inverse(X_90),double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),X_88))),inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))) )],[refute_0_736,refute_0_744]) ).
cnf(refute_0_746,plain,
inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)) = multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_88)),bind(B,$fot(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))))]]) ).
cnf(refute_0_747,plain,
( multiply(X_88,multiply(inverse(X_90),C)) != inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))
| inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)) != multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))
| multiply(X_88,multiply(inverse(X_90),C)) = multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_88,multiply(inverse(X_90),C)),multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))) ),[0],$fot(inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)))]]) ).
cnf(refute_0_748,plain,
( multiply(X_88,multiply(inverse(X_90),C)) != inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))
| multiply(X_88,multiply(inverse(X_90),C)) = multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88)),multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
multiply(X_88,multiply(inverse(X_90),C)) = multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_90),C)),inverse(double_divide(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),X_88))) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))) = double_divide(X_90,inverse(C)),
inference(subst,[],[refute_0_419:[bind(B,$fot(inverse(C))),bind(X_2,$fot(X_6)),bind(X_4,$fot(X_90))]]) ).
cnf(refute_0_751,plain,
multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) = multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))),
introduced(tautology,[refl,[$fot(multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))))]]) ).
cnf(refute_0_752,plain,
( multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) != multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))
| multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))) != double_divide(X_90,inverse(C))
| multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) = multiply(X_88,double_divide(X_90,inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))),multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))) ),[1,1],$fot(double_divide(X_90,inverse(C)))]]) ).
cnf(refute_0_753,plain,
( multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))) != double_divide(X_90,inverse(C))
| multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) = multiply(X_88,double_divide(X_90,inverse(C))) ),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))),multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) = multiply(X_88,double_divide(X_90,inverse(C))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))),double_divide(X_90,inverse(C))) )],[refute_0_750,refute_0_753]) ).
cnf(refute_0_755,plain,
( multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))) != multiply(X_88,double_divide(X_90,inverse(C)))
| multiply(X_88,multiply(inverse(X_90),C)) != multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))
| multiply(X_88,multiply(inverse(X_90),C)) = multiply(X_88,double_divide(X_90,inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(X_90),C)),multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))) ),[1],$fot(multiply(X_88,double_divide(X_90,inverse(C))))]]) ).
cnf(refute_0_756,plain,
( multiply(X_88,multiply(inverse(X_90),C)) != multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))
| multiply(X_88,multiply(inverse(X_90),C)) = multiply(X_88,double_divide(X_90,inverse(C))) ),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C)))),multiply(X_88,double_divide(X_90,inverse(C)))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
multiply(X_88,multiply(inverse(X_90),C)) = multiply(X_88,double_divide(X_90,inverse(C))),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_90),C)),multiply(X_88,multiply(multiply(inverse(X_90),X_6),double_divide(X_6,inverse(C))))) )],[refute_0_749,refute_0_756]) ).
cnf(refute_0_758,plain,
( multiply(X_88,multiply(inverse(X_90),C)) != multiply(X_88,double_divide(X_90,inverse(C)))
| multiply(X_88,double_divide(X_90,inverse(C))) = multiply(X_88,multiply(inverse(X_90),C)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_88,multiply(inverse(X_90),C)))),bind(Y,$fot(multiply(X_88,double_divide(X_90,inverse(C)))))]]) ).
cnf(refute_0_759,plain,
multiply(X_88,double_divide(X_90,inverse(C))) = multiply(X_88,multiply(inverse(X_90),C)),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_90),C)),multiply(X_88,double_divide(X_90,inverse(C)))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
multiply(X_88,double_divide(X_68,inverse(X_68))) = multiply(X_88,multiply(inverse(X_68),X_68)),
inference(subst,[],[refute_0_759:[bind(C,$fot(X_68)),bind(X_90,$fot(X_68))]]) ).
cnf(refute_0_761,plain,
( multiply(X_88,multiply(inverse(X_68),X_68)) != X_88
| multiply(X_88,double_divide(X_68,inverse(X_68))) != multiply(X_88,multiply(inverse(X_68),X_68))
| multiply(X_88,double_divide(X_68,inverse(X_68))) = X_88 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(X_88,double_divide(X_68,inverse(X_68))))),bind(Y,$fot(multiply(X_88,multiply(inverse(X_68),X_68)))),bind(Z,$fot(X_88))]]) ).
cnf(refute_0_762,plain,
( multiply(X_88,multiply(inverse(X_68),X_68)) != X_88
| multiply(X_88,double_divide(X_68,inverse(X_68))) = X_88 ),
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_68,inverse(X_68))),multiply(X_88,multiply(inverse(X_68),X_68))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
multiply(X_88,double_divide(X_68,inverse(X_68))) = X_88,
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_68),X_68)),X_88) )],[refute_0_735,refute_0_762]) ).
cnf(refute_0_764,plain,
double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) = double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89))]]) ).
cnf(refute_0_765,plain,
( multiply(X_88,double_divide(X_68,inverse(X_68))) != X_88
| double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) != double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89)
| double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) = double_divide(X_88,X_89) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89),double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89)) ),[1,0],$fot(X_88)]]) ).
cnf(refute_0_766,plain,
( multiply(X_88,double_divide(X_68,inverse(X_68))) != X_88
| double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) = double_divide(X_88,X_89) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89),double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89)) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) = double_divide(X_88,X_89),
inference(resolve,[$cnf( $equal(multiply(X_88,double_divide(X_68,inverse(X_68))),X_88) )],[refute_0_763,refute_0_766]) ).
cnf(refute_0_768,plain,
double_divide(inverse(double_divide(B,A)),X_98) = multiply(inverse(X_98),double_divide(B,A)),
inference(subst,[],[refute_0_438:[bind(X_95,$fot(double_divide(B,A))),bind(X_96,$fot(X_98))]]) ).
cnf(refute_0_769,plain,
( double_divide(inverse(double_divide(B,A)),X_98) != multiply(inverse(X_98),double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),X_98) = multiply(inverse(X_98),double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),X_98),multiply(inverse(X_98),double_divide(B,A))) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_770,plain,
( double_divide(inverse(double_divide(B,A)),X_98) != multiply(inverse(X_98),double_divide(B,A))
| double_divide(multiply(A,B),X_98) = multiply(inverse(X_98),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_769]) ).
cnf(refute_0_771,plain,
double_divide(multiply(A,B),X_98) = multiply(inverse(X_98),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),X_98),multiply(inverse(X_98),double_divide(B,A))) )],[refute_0_768,refute_0_770]) ).
cnf(refute_0_772,plain,
( double_divide(multiply(A,B),X_98) != multiply(inverse(X_98),double_divide(B,A))
| multiply(inverse(X_98),double_divide(B,A)) = double_divide(multiply(A,B),X_98) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(multiply(A,B),X_98))),bind(Y,$fot(multiply(inverse(X_98),double_divide(B,A))))]]) ).
cnf(refute_0_773,plain,
multiply(inverse(X_98),double_divide(B,A)) = double_divide(multiply(A,B),X_98),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),X_98),multiply(inverse(X_98),double_divide(B,A))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) = double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89),
inference(subst,[],[refute_0_773:[bind(A,$fot(X_88)),bind(B,$fot(double_divide(X_68,inverse(X_68)))),bind(X_98,$fot(X_89))]]) ).
cnf(refute_0_775,plain,
( multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) != double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89)
| double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) != double_divide(X_88,X_89)
| multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) = double_divide(X_88,X_89) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)))),bind(Y,$fot(double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89))),bind(Z,$fot(double_divide(X_88,X_89)))]]) ).
cnf(refute_0_776,plain,
( double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89) != double_divide(X_88,X_89)
| multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) = double_divide(X_88,X_89) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)),double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89)) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) = double_divide(X_88,X_89),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_88,double_divide(X_68,inverse(X_68))),X_89),double_divide(X_88,X_89)) )],[refute_0_767,refute_0_776]) ).
cnf(refute_0_778,plain,
multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))),
introduced(tautology,[refl,[$fot(multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))))]]) ).
cnf(refute_0_779,plain,
( multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) != multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)))
| multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) != double_divide(X_88,X_89)
| multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = multiply(X_88,double_divide(X_88,X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))),multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)))) ),[1,1],$fot(double_divide(X_88,X_89))]]) ).
cnf(refute_0_780,plain,
( multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)) != double_divide(X_88,X_89)
| multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = multiply(X_88,double_divide(X_88,X_89)) ),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))),multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) = multiply(X_88,double_divide(X_88,X_89)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88)),double_divide(X_88,X_89)) )],[refute_0_777,refute_0_780]) ).
cnf(refute_0_782,plain,
( multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) != multiply(X_88,double_divide(X_88,X_89))
| multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) != inverse(X_89)
| multiply(X_88,double_divide(X_88,X_89)) = inverse(X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))),inverse(X_89)) ),[0],$fot(multiply(X_88,double_divide(X_88,X_89)))]]) ).
cnf(refute_0_783,plain,
( multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))) != inverse(X_89)
| multiply(X_88,double_divide(X_88,X_89)) = inverse(X_89) ),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))),multiply(X_88,double_divide(X_88,X_89))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(X_88,double_divide(X_88,X_89)) = inverse(X_89),
inference(resolve,[$cnf( $equal(multiply(X_88,multiply(inverse(X_89),double_divide(double_divide(X_68,inverse(X_68)),X_88))),inverse(X_89)) )],[refute_0_734,refute_0_783]) ).
cnf(refute_0_785,plain,
multiply(X_118,double_divide(X_118,X_117)) = inverse(X_117),
inference(subst,[],[refute_0_784:[bind(X_88,$fot(X_118)),bind(X_89,$fot(X_117))]]) ).
cnf(refute_0_786,plain,
inverse(multiply(X_117,X_118)) = double_divide(X_118,X_117),
inference(subst,[],[refute_0_485:[bind(A,$fot(X_117)),bind(B,$fot(X_118))]]) ).
cnf(refute_0_787,plain,
multiply(X_118,inverse(multiply(X_117,X_118))) = multiply(X_118,inverse(multiply(X_117,X_118))),
introduced(tautology,[refl,[$fot(multiply(X_118,inverse(multiply(X_117,X_118))))]]) ).
cnf(refute_0_788,plain,
( multiply(X_118,inverse(multiply(X_117,X_118))) != multiply(X_118,inverse(multiply(X_117,X_118)))
| inverse(multiply(X_117,X_118)) != double_divide(X_118,X_117)
| multiply(X_118,inverse(multiply(X_117,X_118))) = multiply(X_118,double_divide(X_118,X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_118,inverse(multiply(X_117,X_118))),multiply(X_118,inverse(multiply(X_117,X_118)))) ),[1,1],$fot(double_divide(X_118,X_117))]]) ).
cnf(refute_0_789,plain,
( inverse(multiply(X_117,X_118)) != double_divide(X_118,X_117)
| multiply(X_118,inverse(multiply(X_117,X_118))) = multiply(X_118,double_divide(X_118,X_117)) ),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(multiply(X_117,X_118))),multiply(X_118,inverse(multiply(X_117,X_118)))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(X_118,inverse(multiply(X_117,X_118))) = multiply(X_118,double_divide(X_118,X_117)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_117,X_118)),double_divide(X_118,X_117)) )],[refute_0_786,refute_0_789]) ).
cnf(refute_0_791,plain,
( multiply(X_118,double_divide(X_118,X_117)) != inverse(X_117)
| multiply(X_118,inverse(multiply(X_117,X_118))) != multiply(X_118,double_divide(X_118,X_117))
| multiply(X_118,inverse(multiply(X_117,X_118))) = inverse(X_117) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(X_118,inverse(multiply(X_117,X_118))))),bind(Y,$fot(multiply(X_118,double_divide(X_118,X_117)))),bind(Z,$fot(inverse(X_117)))]]) ).
cnf(refute_0_792,plain,
( multiply(X_118,double_divide(X_118,X_117)) != inverse(X_117)
| multiply(X_118,inverse(multiply(X_117,X_118))) = inverse(X_117) ),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(multiply(X_117,X_118))),multiply(X_118,double_divide(X_118,X_117))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(X_118,inverse(multiply(X_117,X_118))) = inverse(X_117),
inference(resolve,[$cnf( $equal(multiply(X_118,double_divide(X_118,X_117)),inverse(X_117)) )],[refute_0_785,refute_0_792]) ).
cnf(refute_0_794,plain,
double_divide(multiply(X_117,X_118),inverse(X_118)) = multiply(X_118,inverse(multiply(X_117,X_118))),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_118)),bind(X_97,$fot(multiply(X_117,X_118)))]]) ).
cnf(refute_0_795,plain,
( multiply(X_118,inverse(multiply(X_117,X_118))) != inverse(X_117)
| double_divide(multiply(X_117,X_118),inverse(X_118)) != multiply(X_118,inverse(multiply(X_117,X_118)))
| double_divide(multiply(X_117,X_118),inverse(X_118)) = inverse(X_117) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_117,X_118),inverse(X_118)))),bind(Y,$fot(multiply(X_118,inverse(multiply(X_117,X_118))))),bind(Z,$fot(inverse(X_117)))]]) ).
cnf(refute_0_796,plain,
( multiply(X_118,inverse(multiply(X_117,X_118))) != inverse(X_117)
| double_divide(multiply(X_117,X_118),inverse(X_118)) = inverse(X_117) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_117,X_118),inverse(X_118)),multiply(X_118,inverse(multiply(X_117,X_118)))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
double_divide(multiply(X_117,X_118),inverse(X_118)) = inverse(X_117),
inference(resolve,[$cnf( $equal(multiply(X_118,inverse(multiply(X_117,X_118))),inverse(X_117)) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
( double_divide(multiply(X_117,X_118),inverse(X_118)) != inverse(X_117)
| double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) != double_divide(multiply(X_117,X_118),inverse(X_118))
| double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) = inverse(X_117) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3),double_divide(multiply(X_117,X_118),inverse(X_118))) ),[1],$fot(inverse(X_117))]]) ).
cnf(refute_0_799,plain,
( double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) != double_divide(multiply(X_117,X_118),inverse(X_118))
| double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) = inverse(X_117) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_117,X_118),inverse(X_118)),inverse(X_117)) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3) = inverse(X_117),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(X_117,X_2),double_divide(X_2,X_3)),X_3),double_divide(multiply(X_117,X_118),inverse(X_118))) )],[refute_0_727,refute_0_799]) ).
cnf(refute_0_801,plain,
double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) = inverse(B),
inference(subst,[],[refute_0_800:[bind(X_117,$fot(B))]]) ).
cnf(refute_0_802,plain,
( double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,multiply(X_93,inverse(X_93)))
| double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) != inverse(B)
| inverse(B) = double_divide(B,multiply(X_93,inverse(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3),double_divide(B,multiply(X_93,inverse(X_93)))) ),[0],$fot(inverse(B))]]) ).
cnf(refute_0_803,plain,
( double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3) != double_divide(B,multiply(X_93,inverse(X_93)))
| inverse(B) = double_divide(B,multiply(X_93,inverse(X_93))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3),inverse(B)) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
inverse(B) = double_divide(B,multiply(X_93,inverse(X_93))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(B,X_2),double_divide(X_2,X_3)),X_3),double_divide(B,multiply(X_93,inverse(X_93)))) )],[refute_0_722,refute_0_803]) ).
cnf(refute_0_805,plain,
( inverse(B) != double_divide(B,multiply(X_93,inverse(X_93)))
| double_divide(B,multiply(X_93,inverse(X_93))) = inverse(B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(B))),bind(Y,$fot(double_divide(B,multiply(X_93,inverse(X_93)))))]]) ).
cnf(refute_0_806,plain,
double_divide(B,multiply(X_93,inverse(X_93))) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(B),double_divide(B,multiply(X_93,inverse(X_93)))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = inverse(multiply(X_155,inverse(inverse(X_156)))),
inference(subst,[],[refute_0_806:[bind(B,$fot(multiply(X_155,inverse(inverse(X_156))))),bind(X_93,$fot(X_17))]]) ).
cnf(refute_0_808,plain,
( double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) != inverse(multiply(X_155,inverse(inverse(X_156))))
| inverse(multiply(X_155,inverse(inverse(X_156)))) != multiply(inverse(X_155),inverse(X_156))
| double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = multiply(inverse(X_155),inverse(X_156)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))))),bind(Y,$fot(inverse(multiply(X_155,inverse(inverse(X_156)))))),bind(Z,$fot(multiply(inverse(X_155),inverse(X_156))))]]) ).
cnf(refute_0_809,plain,
( inverse(multiply(X_155,inverse(inverse(X_156)))) != multiply(inverse(X_155),inverse(X_156))
| double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = multiply(inverse(X_155),inverse(X_156)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))),inverse(multiply(X_155,inverse(inverse(X_156))))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) = multiply(inverse(X_155),inverse(X_156)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_155,inverse(inverse(X_156)))),multiply(inverse(X_155),inverse(X_156))) )],[refute_0_710,refute_0_809]) ).
cnf(refute_0_811,plain,
( double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) != multiply(inverse(X_155),inverse(X_156))
| double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) != double_divide(X_156,X_155)
| multiply(inverse(X_155),inverse(X_156)) = double_divide(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))),double_divide(X_156,X_155)) ),[0],$fot(multiply(inverse(X_155),inverse(X_156)))]]) ).
cnf(refute_0_812,plain,
( double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))) != double_divide(X_156,X_155)
| multiply(inverse(X_155),inverse(X_156)) = double_divide(X_156,X_155) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))),multiply(inverse(X_155),inverse(X_156))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
multiply(inverse(X_155),inverse(X_156)) = double_divide(X_156,X_155),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_156))),multiply(X_17,inverse(X_17))),double_divide(X_156,X_155)) )],[refute_0_705,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(inverse(X_153),inverse(X_168)) = double_divide(X_168,X_153),
inference(subst,[],[refute_0_813:[bind(X_155,$fot(X_153)),bind(X_156,$fot(X_168))]]) ).
cnf(refute_0_815,plain,
double_divide(X_168,inverse(inverse(X_153))) = multiply(inverse(X_153),inverse(X_168)),
inference(subst,[],[refute_0_491:[bind(A,$fot(inverse(X_153))),bind(X_97,$fot(X_168))]]) ).
cnf(refute_0_816,plain,
( multiply(inverse(X_153),inverse(X_168)) != double_divide(X_168,X_153)
| double_divide(X_168,inverse(inverse(X_153))) != multiply(inverse(X_153),inverse(X_168))
| double_divide(X_168,inverse(inverse(X_153))) = double_divide(X_168,X_153) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(X_168,inverse(inverse(X_153))))),bind(Y,$fot(multiply(inverse(X_153),inverse(X_168)))),bind(Z,$fot(double_divide(X_168,X_153)))]]) ).
cnf(refute_0_817,plain,
( multiply(inverse(X_153),inverse(X_168)) != double_divide(X_168,X_153)
| double_divide(X_168,inverse(inverse(X_153))) = double_divide(X_168,X_153) ),
inference(resolve,[$cnf( $equal(double_divide(X_168,inverse(inverse(X_153))),multiply(inverse(X_153),inverse(X_168))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
double_divide(X_168,inverse(inverse(X_153))) = double_divide(X_168,X_153),
inference(resolve,[$cnf( $equal(multiply(inverse(X_153),inverse(X_168)),double_divide(X_168,X_153)) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(X_156,inverse(X_107))) = double_divide(X_156,X_155),
inference(subst,[],[refute_0_691:[bind(X_142,$fot(X_155)),bind(X_152,$fot(X_156)),bind(X_154,$fot(inverse(X_107)))]]) ).
cnf(refute_0_820,plain,
multiply(inverse(X_107),X_156) = multiply(X_156,inverse(X_107)),
inference(subst,[],[refute_0_541:[bind(X_108,$fot(X_156))]]) ).
cnf(refute_0_821,plain,
( multiply(inverse(X_107),X_156) != multiply(X_156,inverse(X_107))
| multiply(X_156,inverse(X_107)) = multiply(inverse(X_107),X_156) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_107),X_156))),bind(Y,$fot(multiply(X_156,inverse(X_107))))]]) ).
cnf(refute_0_822,plain,
multiply(X_156,inverse(X_107)) = multiply(inverse(X_107),X_156),
inference(resolve,[$cnf( $equal(multiply(inverse(X_107),X_156),multiply(X_156,inverse(X_107))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
( multiply(X_156,inverse(X_107)) != multiply(inverse(X_107),X_156)
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(X_156,inverse(X_107))) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(X_156,inverse(X_107))),double_divide(X_156,X_155)) ),[0,1],$fot(multiply(inverse(X_107),X_156))]]) ).
cnf(refute_0_824,plain,
( double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(X_156,inverse(X_107))) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(X_156,X_155) ),
inference(resolve,[$cnf( $equal(multiply(X_156,inverse(X_107)),multiply(inverse(X_107),X_156)) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(X_156,X_155),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(X_156,inverse(X_107))),double_divide(X_156,X_155)) )],[refute_0_819,refute_0_824]) ).
cnf(refute_0_826,plain,
inverse(inverse(X_107)) = X_107,
inference(subst,[],[refute_0_430:[bind(X_4,$fot(X_107))]]) ).
cnf(refute_0_827,plain,
multiply(X_155,inverse(inverse(X_107))) = multiply(X_155,inverse(inverse(X_107))),
introduced(tautology,[refl,[$fot(multiply(X_155,inverse(inverse(X_107))))]]) ).
cnf(refute_0_828,plain,
( multiply(X_155,inverse(inverse(X_107))) != multiply(X_155,inverse(inverse(X_107)))
| inverse(inverse(X_107)) != X_107
| multiply(X_155,inverse(inverse(X_107))) = multiply(X_155,X_107) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_155,inverse(inverse(X_107))),multiply(X_155,inverse(inverse(X_107)))) ),[1,1],$fot(X_107)]]) ).
cnf(refute_0_829,plain,
( inverse(inverse(X_107)) != X_107
| multiply(X_155,inverse(inverse(X_107))) = multiply(X_155,X_107) ),
inference(resolve,[$cnf( $equal(multiply(X_155,inverse(inverse(X_107))),multiply(X_155,inverse(inverse(X_107)))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
multiply(X_155,inverse(inverse(X_107))) = multiply(X_155,X_107),
inference(resolve,[$cnf( $equal(inverse(inverse(X_107)),X_107) )],[refute_0_826,refute_0_829]) ).
cnf(refute_0_831,plain,
double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)))]]) ).
cnf(refute_0_832,plain,
( multiply(X_155,inverse(inverse(X_107))) != multiply(X_155,X_107)
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) != double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156))
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)),double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156))) ),[1,0],$fot(multiply(X_155,X_107))]]) ).
cnf(refute_0_833,plain,
( multiply(X_155,inverse(inverse(X_107))) != multiply(X_155,X_107)
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)),double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) = double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)),
inference(resolve,[$cnf( $equal(multiply(X_155,inverse(inverse(X_107))),multiply(X_155,X_107)) )],[refute_0_830,refute_0_833]) ).
cnf(refute_0_835,plain,
( double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) != double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156))
| double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)) = double_divide(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)),double_divide(X_156,X_155)) ),[0],$fot(double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)))]]) ).
cnf(refute_0_836,plain,
( double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)) = double_divide(X_156,X_155) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)),double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
double_divide(multiply(X_155,X_107),multiply(inverse(X_107),X_156)) = double_divide(X_156,X_155),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(inverse(X_107))),multiply(inverse(X_107),X_156)),double_divide(X_156,X_155)) )],[refute_0_825,refute_0_836]) ).
cnf(refute_0_838,plain,
double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) = double_divide(X_168,inverse(inverse(X_153))),
inference(subst,[],[refute_0_837:[bind(X_107,$fot(X_167)),bind(X_155,$fot(inverse(inverse(X_153)))),bind(X_156,$fot(X_168))]]) ).
cnf(refute_0_839,plain,
( double_divide(X_168,inverse(inverse(X_153))) != double_divide(X_168,X_153)
| double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) != double_divide(X_168,inverse(inverse(X_153)))
| double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) = double_divide(X_168,X_153) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)))),bind(Y,$fot(double_divide(X_168,inverse(inverse(X_153))))),bind(Z,$fot(double_divide(X_168,X_153)))]]) ).
cnf(refute_0_840,plain,
( double_divide(X_168,inverse(inverse(X_153))) != double_divide(X_168,X_153)
| double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) = double_divide(X_168,X_153) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)),double_divide(X_168,inverse(inverse(X_153)))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) = double_divide(X_168,X_153),
inference(resolve,[$cnf( $equal(double_divide(X_168,inverse(inverse(X_153))),double_divide(X_168,X_153)) )],[refute_0_818,refute_0_840]) ).
cnf(refute_0_842,plain,
inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) = double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)),
inference(subst,[],[refute_0_485:[bind(A,$fot(multiply(inverse(X_167),X_168))),bind(B,$fot(multiply(inverse(inverse(X_153)),X_167)))]]) ).
cnf(refute_0_843,plain,
( double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) != double_divide(X_168,X_153)
| inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) != double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168))
| inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) = double_divide(X_168,X_153) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))))),bind(Y,$fot(double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)))),bind(Z,$fot(double_divide(X_168,X_153)))]]) ).
cnf(refute_0_844,plain,
( double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)) != double_divide(X_168,X_153)
| inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) = double_divide(X_168,X_153) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) = double_divide(X_168,X_153),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_153)),X_167),multiply(inverse(X_167),X_168)),double_divide(X_168,X_153)) )],[refute_0_841,refute_0_844]) ).
cnf(refute_0_846,plain,
multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) = multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152))]]) ).
cnf(refute_0_847,plain,
( multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) != multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)
| inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) != double_divide(X_168,X_153)
| multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) = multiply(double_divide(X_168,X_153),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) ),[1,0],$fot(double_divide(X_168,X_153))]]) ).
cnf(refute_0_848,plain,
( inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))) != double_divide(X_168,X_153)
| multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) = multiply(double_divide(X_168,X_153),X_152) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) = multiply(double_divide(X_168,X_153),X_152),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),double_divide(X_168,X_153)) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) = multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)),
introduced(tautology,[refl,[$fot(multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)))]]) ).
cnf(refute_0_851,plain,
( multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) != multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152))
| multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) != multiply(double_divide(X_168,X_153),X_152)
| multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) = multiply(X_168,multiply(double_divide(X_168,X_153),X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)),multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152))) ),[1,1],$fot(multiply(double_divide(X_168,X_153),X_152))]]) ).
cnf(refute_0_852,plain,
( multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152) != multiply(double_divide(X_168,X_153),X_152)
| multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) = multiply(X_168,multiply(double_divide(X_168,X_153),X_152)) ),
inference(resolve,[$cnf( $equal(multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)),multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) = multiply(X_168,multiply(double_divide(X_168,X_153),X_152)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),multiply(double_divide(X_168,X_153),X_152)) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = double_divide(X_156,X_155),
inference(subst,[],[refute_0_691:[bind(X_142,$fot(X_155)),bind(X_152,$fot(X_156)),bind(X_154,$fot(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))))]]) ).
cnf(refute_0_855,plain,
multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A)),
inference(subst,[],[refute_0_489:[bind(X_97,$fot(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))))]]) ).
cnf(refute_0_856,plain,
multiply(inverse(X_18),multiply(inverse(double_divide(B,A)),double_divide(B,A))) = inverse(X_18),
inference(subst,[],[refute_0_51:[bind(X_16,$fot(X_18)),bind(X_17,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_857,plain,
( multiply(inverse(X_18),multiply(inverse(double_divide(B,A)),double_divide(B,A))) != inverse(X_18)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_18),multiply(inverse(double_divide(B,A)),double_divide(B,A))),inverse(X_18)) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_858,plain,
( multiply(inverse(X_18),multiply(inverse(double_divide(B,A)),double_divide(B,A))) != inverse(X_18)
| multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_857]) ).
cnf(refute_0_859,plain,
multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) = inverse(X_18),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),multiply(inverse(double_divide(B,A)),double_divide(B,A))),inverse(X_18)) )],[refute_0_856,refute_0_858]) ).
cnf(refute_0_860,plain,
double_divide(inverse(multiply(X_122,X_123)),X_96) = multiply(inverse(X_96),multiply(X_122,X_123)),
inference(subst,[],[refute_0_438:[bind(X_95,$fot(multiply(X_122,X_123)))]]) ).
cnf(refute_0_861,plain,
inverse(multiply(X_122,X_123)) = double_divide(X_123,X_122),
inference(subst,[],[refute_0_485:[bind(A,$fot(X_122)),bind(B,$fot(X_123))]]) ).
cnf(refute_0_862,plain,
( double_divide(inverse(multiply(X_122,X_123)),X_96) != multiply(inverse(X_96),multiply(X_122,X_123))
| inverse(multiply(X_122,X_123)) != double_divide(X_123,X_122)
| double_divide(double_divide(X_123,X_122),X_96) = multiply(inverse(X_96),multiply(X_122,X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(X_122,X_123)),X_96),multiply(inverse(X_96),multiply(X_122,X_123))) ),[0,0],$fot(double_divide(X_123,X_122))]]) ).
cnf(refute_0_863,plain,
( double_divide(inverse(multiply(X_122,X_123)),X_96) != multiply(inverse(X_96),multiply(X_122,X_123))
| double_divide(double_divide(X_123,X_122),X_96) = multiply(inverse(X_96),multiply(X_122,X_123)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_122,X_123)),double_divide(X_123,X_122)) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
double_divide(double_divide(X_123,X_122),X_96) = multiply(inverse(X_96),multiply(X_122,X_123)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_122,X_123)),X_96),multiply(inverse(X_96),multiply(X_122,X_123))) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
( double_divide(double_divide(X_123,X_122),X_96) != multiply(inverse(X_96),multiply(X_122,X_123))
| multiply(inverse(X_96),multiply(X_122,X_123)) = double_divide(double_divide(X_123,X_122),X_96) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(double_divide(double_divide(X_123,X_122),X_96))),bind(Y,$fot(multiply(inverse(X_96),multiply(X_122,X_123))))]]) ).
cnf(refute_0_866,plain,
multiply(inverse(X_96),multiply(X_122,X_123)) = double_divide(double_divide(X_123,X_122),X_96),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_123,X_122),X_96),multiply(inverse(X_96),multiply(X_122,X_123))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) = double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18),
inference(subst,[],[refute_0_866:[bind(X_122,$fot(multiply(A,B))),bind(X_123,$fot(double_divide(B,A))),bind(X_96,$fot(X_18))]]) ).
cnf(refute_0_868,plain,
( multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) != double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18)
| multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) != inverse(X_18)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))),inverse(X_18)) ),[0],$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18))]]) ).
cnf(refute_0_869,plain,
( multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))) != inverse(X_18)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18)) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_18) = inverse(X_18),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),multiply(multiply(A,B),double_divide(B,A))),inverse(X_18)) )],[refute_0_859,refute_0_869]) ).
cnf(refute_0_871,plain,
double_divide(double_divide(double_divide(inverse(X_95),X_129),multiply(X_129,inverse(X_95))),X_131) = inverse(X_131),
inference(subst,[],[refute_0_870:[bind(A,$fot(X_129)),bind(B,$fot(inverse(X_95))),bind(X_18,$fot(X_131))]]) ).
cnf(refute_0_872,plain,
double_divide(inverse(X_95),X_129) = multiply(inverse(X_129),X_95),
inference(subst,[],[refute_0_438:[bind(X_96,$fot(X_129))]]) ).
cnf(refute_0_873,plain,
( double_divide(double_divide(double_divide(inverse(X_95),X_129),multiply(X_129,inverse(X_95))),X_131) != inverse(X_131)
| double_divide(inverse(X_95),X_129) != multiply(inverse(X_129),X_95)
| double_divide(double_divide(multiply(inverse(X_129),X_95),multiply(X_129,inverse(X_95))),X_131) = inverse(X_131) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_95),X_129),multiply(X_129,inverse(X_95))),X_131),inverse(X_131)) ),[0,0,0],$fot(multiply(inverse(X_129),X_95))]]) ).
cnf(refute_0_874,plain,
( double_divide(double_divide(double_divide(inverse(X_95),X_129),multiply(X_129,inverse(X_95))),X_131) != inverse(X_131)
| double_divide(double_divide(multiply(inverse(X_129),X_95),multiply(X_129,inverse(X_95))),X_131) = inverse(X_131) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_95),X_129),multiply(inverse(X_129),X_95)) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
double_divide(double_divide(multiply(inverse(X_129),X_95),multiply(X_129,inverse(X_95))),X_131) = inverse(X_131),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_95),X_129),multiply(X_129,inverse(X_95))),X_131),inverse(X_131)) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A)) = inverse(inverse(A)),
inference(subst,[],[refute_0_875:[bind(X_129,$fot(X_132)),bind(X_131,$fot(inverse(A))),bind(X_95,$fot(X_134))]]) ).
cnf(refute_0_877,plain,
( multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A))
| double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A)) != inverse(inverse(A))
| multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = inverse(inverse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),inverse(inverse(A))) ),[0],$fot(double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A)))]]) ).
cnf(refute_0_878,plain,
( multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A))
| multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = inverse(inverse(A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A)),inverse(inverse(A))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = inverse(inverse(A)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),double_divide(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),inverse(A))) )],[refute_0_855,refute_0_878]) ).
cnf(refute_0_880,plain,
inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) = multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)),
inference(subst,[],[refute_0_5:[bind(A,$fot(multiply(X_132,inverse(X_134)))),bind(B,$fot(multiply(inverse(X_132),X_134)))]]) ).
cnf(refute_0_881,plain,
multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),
introduced(tautology,[refl,[$fot(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))))]]) ).
cnf(refute_0_882,plain,
( multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))))
| inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) != multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))
| multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))))) ),[1,1],$fot(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))]]) ).
cnf(refute_0_883,plain,
( inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) != multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))
| multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) = multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))),multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
( multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))
| multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != inverse(inverse(A))
| multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = inverse(inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),inverse(inverse(A))) ),[0],$fot(multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))))]]) ).
cnf(refute_0_886,plain,
( multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != inverse(inverse(A))
| multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = inverse(inverse(A)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
inverse(inverse(A)) = A,
inference(subst,[],[refute_0_430:[bind(X_4,$fot(A))]]) ).
cnf(refute_0_888,plain,
( multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) != inverse(inverse(A))
| inverse(inverse(A)) != A
| multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = A ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))),A) ),[0],$fot(inverse(inverse(A)))]]) ).
cnf(refute_0_889,plain,
( multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) != inverse(inverse(A))
| multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = A ),
inference(resolve,[$cnf( $equal(inverse(inverse(A)),A) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
( multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) != inverse(inverse(A))
| multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = A ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))),inverse(inverse(A))) )],[refute_0_886,refute_0_889]) ).
cnf(refute_0_891,plain,
multiply(A,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = A,
inference(resolve,[$cnf( $equal(multiply(A,inverse(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))),inverse(inverse(A))) )],[refute_0_879,refute_0_890]) ).
cnf(refute_0_892,plain,
multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = X_156,
inference(subst,[],[refute_0_891:[bind(A,$fot(X_156))]]) ).
cnf(refute_0_893,plain,
( multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) != X_156
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),double_divide(X_156,X_155)) ),[0,1],$fot(X_156)]]) ).
cnf(refute_0_894,plain,
( double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) != double_divide(X_156,X_155)
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(X_156,X_155) ),
inference(resolve,[$cnf( $equal(multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))),X_156) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(X_156,X_155),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_156,multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),double_divide(X_156,X_155)) )],[refute_0_854,refute_0_894]) ).
cnf(refute_0_896,plain,
double_divide(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(X_16)) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_897,plain,
( double_divide(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(X_16)) != X_16
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(multiply(A,B),double_divide(B,A)),inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(X_16)),X_16) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_898,plain,
( double_divide(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(X_16)) != X_16
| double_divide(multiply(multiply(A,B),double_divide(B,A)),inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_5,refute_0_897]) ).
cnf(refute_0_899,plain,
double_divide(multiply(multiply(A,B),double_divide(B,A)),inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(X_16)),X_16) )],[refute_0_896,refute_0_898]) ).
cnf(refute_0_900,plain,
double_divide(multiply(multiply(A,inverse(X_97)),double_divide(inverse(X_97),A)),inverse(X_16)) = X_16,
inference(subst,[],[refute_0_899:[bind(B,$fot(inverse(X_97)))]]) ).
cnf(refute_0_901,plain,
( double_divide(multiply(multiply(A,inverse(X_97)),double_divide(inverse(X_97),A)),inverse(X_16)) != X_16
| double_divide(inverse(X_97),A) != multiply(inverse(A),X_97)
| double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(A,inverse(X_97)),double_divide(inverse(X_97),A)),inverse(X_16)),X_16) ),[0,0,1],$fot(multiply(inverse(A),X_97))]]) ).
cnf(refute_0_902,plain,
( double_divide(multiply(multiply(A,inverse(X_97)),double_divide(inverse(X_97),A)),inverse(X_16)) != X_16
| double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_97),A),multiply(inverse(A),X_97)) )],[refute_0_439,refute_0_901]) ).
cnf(refute_0_903,plain,
double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,inverse(X_97)),double_divide(inverse(X_97),A)),inverse(X_16)),X_16) )],[refute_0_900,refute_0_902]) ).
cnf(refute_0_904,plain,
inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))) = double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))),
inference(subst,[],[refute_0_485:[bind(A,$fot(multiply(A,inverse(X_97)))),bind(B,$fot(multiply(inverse(A),X_97)))]]) ).
cnf(refute_0_905,plain,
multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) = multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))),
introduced(tautology,[refl,[$fot(multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))))]]) ).
cnf(refute_0_906,plain,
( multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) != multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))))
| inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))) != double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))
| multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) = multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))),multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))))) ),[1,1],$fot(double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))]]) ).
cnf(refute_0_907,plain,
( inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))) != double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))
| multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) = multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) ),
inference(resolve,[$cnf( $equal(multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))),multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) = multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))),double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))),
inference(subst,[],[refute_0_491:[bind(A,$fot(X_16)),bind(X_97,$fot(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))))]]) ).
cnf(refute_0_910,plain,
( multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) != multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))
| double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) != multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))))
| double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)))),bind(Y,$fot(multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))))),bind(Z,$fot(multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))))]]) ).
cnf(refute_0_911,plain,
( multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))) != multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))
| double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)),multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97))))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) = multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))),
inference(resolve,[$cnf( $equal(multiply(X_16,inverse(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)))),multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
( double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) != X_16
| double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) != multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))
| multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)),X_16) ),[0],$fot(multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))))]]) ).
cnf(refute_0_914,plain,
( double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)) != X_16
| multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)),multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97))))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
multiply(X_16,double_divide(multiply(inverse(A),X_97),multiply(A,inverse(X_97)))) = X_16,
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(A,inverse(X_97)),multiply(inverse(A),X_97)),inverse(X_16)),X_16) )],[refute_0_903,refute_0_914]) ).
cnf(refute_0_916,plain,
multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) = X_155,
inference(subst,[],[refute_0_915:[bind(A,$fot(X_132)),bind(X_16,$fot(X_155)),bind(X_97,$fot(X_134))]]) ).
cnf(refute_0_917,plain,
inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) = double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))),
inference(subst,[],[refute_0_485:[bind(A,$fot(multiply(X_132,inverse(X_134)))),bind(B,$fot(multiply(inverse(X_132),X_134)))]]) ).
cnf(refute_0_918,plain,
multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),
introduced(tautology,[refl,[$fot(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))))]]) ).
cnf(refute_0_919,plain,
( multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) != multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))))
| inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) != double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))
| multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))))) ),[1,1],$fot(double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))]]) ).
cnf(refute_0_920,plain,
( inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))) != double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))
| multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) ),
inference(resolve,[$cnf( $equal(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134))),double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) )],[refute_0_917,refute_0_920]) ).
cnf(refute_0_922,plain,
( multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) != X_155
| multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) != multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))
| multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = X_155 ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))))),bind(Y,$fot(multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))))),bind(Z,$fot(X_155))]]) ).
cnf(refute_0_923,plain,
( multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))) != X_155
| multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = X_155 ),
inference(resolve,[$cnf( $equal(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134))))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) = X_155,
inference(resolve,[$cnf( $equal(multiply(X_155,double_divide(multiply(inverse(X_132),X_134),multiply(X_132,inverse(X_134)))),X_155) )],[refute_0_916,refute_0_923]) ).
cnf(refute_0_925,plain,
double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156))]]) ).
cnf(refute_0_926,plain,
( multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) != X_155
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) != double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156)
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(X_155,X_156) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156),double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156)) ),[1,0],$fot(X_155)]]) ).
cnf(refute_0_927,plain,
( multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))) != X_155
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(X_155,X_156) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156),double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156)) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) = double_divide(X_155,X_156),
inference(resolve,[$cnf( $equal(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_155) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
( double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) != double_divide(X_155,X_156)
| double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) != double_divide(X_156,X_155)
| double_divide(X_155,X_156) = double_divide(X_156,X_155) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156),double_divide(X_156,X_155)) ),[0],$fot(double_divide(X_155,X_156))]]) ).
cnf(refute_0_930,plain,
( double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156) != double_divide(X_156,X_155)
| double_divide(X_155,X_156) = double_divide(X_156,X_155) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156),double_divide(X_155,X_156)) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
double_divide(X_155,X_156) = double_divide(X_156,X_155),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_155,inverse(multiply(multiply(X_132,inverse(X_134)),multiply(inverse(X_132),X_134)))),X_156),double_divide(X_156,X_155)) )],[refute_0_895,refute_0_930]) ).
cnf(refute_0_932,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_931:[bind(X_155,$fot(B)),bind(X_156,$fot(A))]]) ).
cnf(refute_0_933,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| double_divide(B,A) != double_divide(A,B)
| multiply(A,B) = inverse(double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) ),[1,0],$fot(double_divide(A,B))]]) ).
cnf(refute_0_934,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
multiply(A,B) = inverse(double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[multiply,refute_0_934]) ).
cnf(refute_0_936,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_937,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| inverse(double_divide(A,B)) != multiply(B,A)
| multiply(A,B) = multiply(B,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(B,A)) ),[0],$fot(inverse(double_divide(A,B)))]]) ).
cnf(refute_0_938,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| multiply(A,B) = multiply(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(A,B))) )],[refute_0_935,refute_0_938]) ).
cnf(refute_0_940,plain,
( multiply(A,B) != multiply(B,A)
| multiply(B,A) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(multiply(B,A)))]]) ).
cnf(refute_0_941,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(B,A)) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) = multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)),
inference(subst,[],[refute_0_941:[bind(A,$fot(X_168)),bind(B,$fot(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)))]]) ).
cnf(refute_0_943,plain,
( multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) != multiply(X_168,multiply(double_divide(X_168,X_153),X_152))
| multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) != multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152))
| multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) = multiply(X_168,multiply(double_divide(X_168,X_153),X_152)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168))),bind(Y,$fot(multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)))),bind(Z,$fot(multiply(X_168,multiply(double_divide(X_168,X_153),X_152))))]]) ).
cnf(refute_0_944,plain,
( multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)) != multiply(X_168,multiply(double_divide(X_168,X_153),X_152))
| multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) = multiply(X_168,multiply(double_divide(X_168,X_153),X_152)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168),multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) = multiply(X_168,multiply(double_divide(X_168,X_153),X_152)),
inference(resolve,[$cnf( $equal(multiply(X_168,multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152)),multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) )],[refute_0_853,refute_0_944]) ).
cnf(refute_0_946,plain,
multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)),
introduced(tautology,[refl,[$fot(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)))]]) ).
cnf(refute_0_947,plain,
( multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) != multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168))
| multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) != multiply(X_168,multiply(double_divide(X_168,X_153),X_152))
| multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)),multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168))) ),[1,1],$fot(multiply(X_168,multiply(double_divide(X_168,X_153),X_152)))]]) ).
cnf(refute_0_948,plain,
( multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168) != multiply(X_168,multiply(double_divide(X_168,X_153),X_152))
| multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) ),
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)),multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) = multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168),multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) )],[refute_0_945,refute_0_948]) ).
cnf(refute_0_950,plain,
( multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) != X_152
| multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) != multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152)))
| multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) = X_152 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)),X_152) ),[0],$fot(multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))))]]) ).
cnf(refute_0_951,plain,
( multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)) != X_152
| multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) = X_152 ),
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)),multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152)))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
multiply(X_153,multiply(X_168,multiply(double_divide(X_168,X_153),X_152))) = X_152,
inference(resolve,[$cnf( $equal(multiply(X_153,multiply(multiply(inverse(multiply(multiply(inverse(X_167),X_168),multiply(inverse(inverse(X_153)),X_167))),X_152),X_168)),X_152) )],[refute_0_597,refute_0_951]) ).
cnf(refute_0_953,plain,
multiply(X_186,multiply(X_187,multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))))) = multiply(X_114,multiply(X_186,X_187)),
inference(subst,[],[refute_0_952:[bind(X_152,$fot(multiply(X_114,multiply(X_186,X_187)))),bind(X_153,$fot(X_186)),bind(X_168,$fot(X_187))]]) ).
cnf(refute_0_954,plain,
multiply(inverse(multiply(X_122,X_123)),multiply(X_114,multiply(X_122,X_123))) = X_114,
inference(subst,[],[refute_0_645:[bind(X_116,$fot(multiply(X_122,X_123)))]]) ).
cnf(refute_0_955,plain,
( multiply(inverse(multiply(X_122,X_123)),multiply(X_114,multiply(X_122,X_123))) != X_114
| inverse(multiply(X_122,X_123)) != double_divide(X_123,X_122)
| multiply(double_divide(X_123,X_122),multiply(X_114,multiply(X_122,X_123))) = X_114 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_122,X_123)),multiply(X_114,multiply(X_122,X_123))),X_114) ),[0,0],$fot(double_divide(X_123,X_122))]]) ).
cnf(refute_0_956,plain,
( multiply(inverse(multiply(X_122,X_123)),multiply(X_114,multiply(X_122,X_123))) != X_114
| multiply(double_divide(X_123,X_122),multiply(X_114,multiply(X_122,X_123))) = X_114 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_122,X_123)),double_divide(X_123,X_122)) )],[refute_0_861,refute_0_955]) ).
cnf(refute_0_957,plain,
multiply(double_divide(X_123,X_122),multiply(X_114,multiply(X_122,X_123))) = X_114,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_122,X_123)),multiply(X_114,multiply(X_122,X_123))),X_114) )],[refute_0_954,refute_0_956]) ).
cnf(refute_0_958,plain,
multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))) = X_114,
inference(subst,[],[refute_0_957:[bind(X_122,$fot(X_186)),bind(X_123,$fot(X_187))]]) ).
cnf(refute_0_959,plain,
( multiply(X_186,multiply(X_187,multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))))) != multiply(X_114,multiply(X_186,X_187))
| multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))) != X_114
| multiply(X_186,multiply(X_187,X_114)) = multiply(X_114,multiply(X_186,X_187)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_186,multiply(X_187,multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))))),multiply(X_114,multiply(X_186,X_187))) ),[0,1,1],$fot(X_114)]]) ).
cnf(refute_0_960,plain,
( multiply(X_186,multiply(X_187,multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))))) != multiply(X_114,multiply(X_186,X_187))
| multiply(X_186,multiply(X_187,X_114)) = multiply(X_114,multiply(X_186,X_187)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))),X_114) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
multiply(X_186,multiply(X_187,X_114)) = multiply(X_114,multiply(X_186,X_187)),
inference(resolve,[$cnf( $equal(multiply(X_186,multiply(X_187,multiply(double_divide(X_187,X_186),multiply(X_114,multiply(X_186,X_187))))),multiply(X_114,multiply(X_186,X_187))) )],[refute_0_953,refute_0_960]) ).
cnf(refute_0_962,plain,
( multiply(X_186,multiply(X_187,X_114)) != multiply(X_114,multiply(X_186,X_187))
| multiply(X_114,multiply(X_186,X_187)) = multiply(X_186,multiply(X_187,X_114)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_186,multiply(X_187,X_114)))),bind(Y,$fot(multiply(X_114,multiply(X_186,X_187))))]]) ).
cnf(refute_0_963,plain,
multiply(X_114,multiply(X_186,X_187)) = multiply(X_186,multiply(X_187,X_114)),
inference(resolve,[$cnf( $equal(multiply(X_186,multiply(X_187,X_114)),multiply(X_114,multiply(X_186,X_187))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_963:[bind(X_114,$fot(c3)),bind(X_186,$fot(a3)),bind(X_187,$fot(b3))]]) ).
cnf(refute_0_965,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_966,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_966,refute_0_556]) ).
cnf(refute_0_968,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_969,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_968,refute_0_967]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 06:09:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.13/2.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.29
% 2.13/2.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.25/2.41
%------------------------------------------------------------------------------