TSTP Solution File: GRP446-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 10:40:41 EDT 2022
% Result : Unsatisfiable 0.20s 0.46s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 59
% Syntax : Number of clauses : 233 ( 126 unt; 0 nHn; 108 RR)
% Number of literals : 387 ( 386 equ; 157 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 474 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_4,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_6,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_7,plain,
( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
| divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_8,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_11,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(multiply(inverse(X_11),X_11),B) = divide(multiply(inverse(X_11),X_11),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(multiply(inverse(X_11),X_11)))]]) ).
cnf(refute_0_14,plain,
inverse(A) = divide(divide(inverse(X_9),inverse(X_9)),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(X_9)))]]) ).
cnf(refute_0_15,plain,
multiply(inverse(X_9),X_9) = divide(inverse(X_9),inverse(X_9)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(X_9))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_16,plain,
( multiply(inverse(X_9),X_9) != divide(inverse(X_9),inverse(X_9))
| divide(inverse(X_9),inverse(X_9)) = multiply(inverse(X_9),X_9) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_9),X_9))),bind(Y,$fot(divide(inverse(X_9),inverse(X_9))))]]) ).
cnf(refute_0_17,plain,
divide(inverse(X_9),inverse(X_9)) = multiply(inverse(X_9),X_9),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),X_9),divide(inverse(X_9),inverse(X_9))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( divide(inverse(X_9),inverse(X_9)) != multiply(inverse(X_9),X_9)
| inverse(A) != divide(divide(inverse(X_9),inverse(X_9)),A)
| inverse(A) = divide(multiply(inverse(X_9),X_9),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_9),inverse(X_9)),A)) ),[1,0],$fot(multiply(inverse(X_9),X_9))]]) ).
cnf(refute_0_19,plain,
( inverse(A) != divide(divide(inverse(X_9),inverse(X_9)),A)
| inverse(A) = divide(multiply(inverse(X_9),X_9),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),inverse(X_9)),multiply(inverse(X_9),X_9)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
inverse(A) = divide(multiply(inverse(X_9),X_9),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_9),inverse(X_9)),A)) )],[refute_0_14,refute_0_19]) ).
cnf(refute_0_21,plain,
inverse(inverse(B)) = divide(multiply(inverse(X_11),X_11),inverse(B)),
inference(subst,[],[refute_0_20:[bind(A,$fot(inverse(B))),bind(X_9,$fot(X_11))]]) ).
cnf(refute_0_22,plain,
( inverse(inverse(B)) != divide(multiply(inverse(X_11),X_11),inverse(B))
| divide(multiply(inverse(X_11),X_11),inverse(B)) = inverse(inverse(B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(B)))),bind(Y,$fot(divide(multiply(inverse(X_11),X_11),inverse(B))))]]) ).
cnf(refute_0_23,plain,
divide(multiply(inverse(X_11),X_11),inverse(B)) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),divide(multiply(inverse(X_11),X_11),inverse(B))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( multiply(multiply(inverse(X_11),X_11),B) != divide(multiply(inverse(X_11),X_11),inverse(B))
| divide(multiply(inverse(X_11),X_11),inverse(B)) != inverse(inverse(B))
| multiply(multiply(inverse(X_11),X_11),B) = inverse(inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(X_11),X_11),B),inverse(inverse(B))) ),[0],$fot(divide(multiply(inverse(X_11),X_11),inverse(B)))]]) ).
cnf(refute_0_25,plain,
( multiply(multiply(inverse(X_11),X_11),B) != divide(multiply(inverse(X_11),X_11),inverse(B))
| multiply(multiply(inverse(X_11),X_11),B) = inverse(inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_11),X_11),inverse(B)),inverse(inverse(B))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(multiply(inverse(X_11),X_11),B) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_11),X_11),B),divide(multiply(inverse(X_11),X_11),inverse(B))) )],[refute_0_13,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(inverse(b2),b2),a2) = inverse(inverse(a2)),
inference(subst,[],[refute_0_26:[bind(B,$fot(a2)),bind(X_11,$fot(b2))]]) ).
cnf(refute_0_28,plain,
( multiply(multiply(inverse(b2),b2),a2) != inverse(inverse(a2))
| inverse(inverse(a2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(inverse(inverse(a2)))]]) ).
cnf(refute_0_29,plain,
( inverse(inverse(a2)) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),inverse(inverse(a2))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
inverse(inverse(a2)) != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_29,prove_these_axioms_2]) ).
cnf(refute_0_31,plain,
inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),
inference(subst,[],[refute_0_20:[bind(A,$fot(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))))]]) ).
cnf(refute_0_32,plain,
divide(divide(A,A),A) = inverse(A),
inference(subst,[],[refute_0_4:[bind(B,$fot(A))]]) ).
cnf(refute_0_33,plain,
divide(divide(divide(A,A),A),C) = divide(divide(divide(A,A),A),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),A),C))]]) ).
cnf(refute_0_34,plain,
( divide(divide(A,A),A) != inverse(A)
| divide(divide(divide(A,A),A),C) != divide(divide(divide(A,A),A),C)
| divide(divide(divide(A,A),A),C) = divide(inverse(A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),A),C)) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_35,plain,
( divide(divide(A,A),A) != inverse(A)
| divide(divide(divide(A,A),A),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),A),C)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(divide(divide(A,A),A),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),A),inverse(A)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)))]]) ).
cnf(refute_0_38,plain,
( divide(divide(divide(A,A),A),C) != divide(inverse(A),C)
| divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) != divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C))
| divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)),divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C))) ),[1,1],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_39,plain,
( divide(divide(divide(A,A),A),C) != divide(inverse(A),C)
| divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)),divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(inverse(A),C)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(divide(A,A),B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_42,plain,
divide(divide(divide(A,A),B),C) = divide(divide(divide(A,A),B),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),B),C))]]) ).
cnf(refute_0_43,plain,
( divide(divide(A,A),B) != inverse(B)
| divide(divide(divide(A,A),B),C) != divide(divide(divide(A,A),B),C)
| divide(divide(divide(A,A),B),C) = divide(inverse(B),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),B),C)) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_44,plain,
( divide(divide(A,A),B) != inverse(B)
| divide(divide(divide(A,A),B),C) = divide(inverse(B),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),B),C)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(divide(divide(A,A),B),C) = divide(inverse(B),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),B),inverse(B)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))]]) ).
cnf(refute_0_47,plain,
( divide(divide(divide(A,A),B),C) != divide(inverse(B),C)
| divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) != divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))
| divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)),divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) ),[1,0],$fot(divide(inverse(B),C))]]) ).
cnf(refute_0_48,plain,
( divide(divide(divide(A,A),B),C) != divide(inverse(B),C)
| divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)),divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),B),C),divide(inverse(B),C)) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_51,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_50]) ).
cnf(refute_0_52,plain,
( divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) != divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C))
| divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))),bind(Y,$fot(divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)))),bind(Z,$fot(divide(divide(inverse(B),C),divide(inverse(A),C))))]]) ).
cnf(refute_0_53,plain,
( divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)),divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(divide(A,A),A),C)),divide(divide(inverse(B),C),divide(inverse(A),C))) )],[refute_0_40,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))))]]) ).
cnf(refute_0_56,plain,
( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) != divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))
| divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))) ),[1,1],$fot(divide(divide(inverse(B),C),divide(inverse(A),C)))]]) ).
cnf(refute_0_57,plain,
( divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C)),divide(divide(inverse(B),C),divide(inverse(A),C))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) != B
| divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) != divide(A,divide(divide(inverse(B),C),divide(inverse(A),C)))
| divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),B) ),[0],$fot(divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))))]]) ).
cnf(refute_0_60,plain,
( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))) != B
| divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),divide(A,divide(divide(inverse(B),C),divide(inverse(A),C)))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B,
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),A),C))),B) )],[single_axiom,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = X_27,
inference(subst,[],[refute_0_61:[bind(A,$fot(multiply(inverse(X_9),X_9))),bind(B,$fot(X_27)),bind(C,$fot(X_28))]]) ).
cnf(refute_0_63,plain,
( divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != X_27
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))) ),[1],$fot(X_27)]]) ).
cnf(refute_0_64,plain,
( inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = X_27 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),X_27) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = X_27,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),divide(multiply(inverse(X_9),X_9),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))) )],[refute_0_31,refute_0_64]) ).
cnf(refute_0_66,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_67,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_12,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(divide(inverse(X_27),X_28),inverse(X_28)) = multiply(divide(inverse(X_27),X_28),X_28),
inference(subst,[],[refute_0_67:[bind(A,$fot(divide(inverse(X_27),X_28))),bind(B,$fot(X_28))]]) ).
cnf(refute_0_69,plain,
inverse(A) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A),
inference(subst,[],[inverse:[bind(B,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_70,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_1))]]) ).
cnf(refute_0_71,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_72,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).
cnf(refute_0_74,plain,
( inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
inverse(A) = divide(inverse(divide(X_1,X_1)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) )],[refute_0_69,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(A) = divide(inverse(divide(inverse(X_9),inverse(X_9))),A),
inference(subst,[],[refute_0_75:[bind(X_1,$fot(inverse(X_9)))]]) ).
cnf(refute_0_77,plain,
( divide(inverse(X_9),inverse(X_9)) != multiply(inverse(X_9),X_9)
| inverse(A) != divide(inverse(divide(inverse(X_9),inverse(X_9))),A)
| inverse(A) = divide(inverse(multiply(inverse(X_9),X_9)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(inverse(divide(inverse(X_9),inverse(X_9))),A)) ),[1,0,0],$fot(multiply(inverse(X_9),X_9))]]) ).
cnf(refute_0_78,plain,
( inverse(A) != divide(inverse(divide(inverse(X_9),inverse(X_9))),A)
| inverse(A) = divide(inverse(multiply(inverse(X_9),X_9)),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),inverse(X_9)),multiply(inverse(X_9),X_9)) )],[refute_0_17,refute_0_77]) ).
cnf(refute_0_79,plain,
inverse(A) = divide(inverse(multiply(inverse(X_9),X_9)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(inverse(divide(inverse(X_9),inverse(X_9))),A)) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
( inverse(A) != divide(inverse(multiply(inverse(X_9),X_9)),A)
| divide(inverse(multiply(inverse(X_9),X_9)),A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(inverse(multiply(inverse(X_9),X_9)),A)))]]) ).
cnf(refute_0_81,plain,
divide(inverse(multiply(inverse(X_9),X_9)),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(inverse(multiply(inverse(X_9),X_9)),A)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
divide(inverse(multiply(inverse(X_9),X_9)),X_28) = inverse(X_28),
inference(subst,[],[refute_0_81:[bind(A,$fot(X_28))]]) ).
cnf(refute_0_83,plain,
divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))]]) ).
cnf(refute_0_84,plain,
( divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) != divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))
| divide(inverse(multiply(inverse(X_9),X_9)),X_28) != inverse(X_28)
| divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = divide(divide(inverse(X_27),X_28),inverse(X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) ),[1,1],$fot(inverse(X_28))]]) ).
cnf(refute_0_85,plain,
( divide(inverse(multiply(inverse(X_9),X_9)),X_28) != inverse(X_28)
| divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = divide(divide(inverse(X_27),X_28),inverse(X_28)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)),divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = divide(divide(inverse(X_27),X_28),inverse(X_28)),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_9),X_9)),X_28),inverse(X_28)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
( divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) != divide(divide(inverse(X_27),X_28),inverse(X_28))
| divide(divide(inverse(X_27),X_28),inverse(X_28)) != multiply(divide(inverse(X_27),X_28),X_28)
| divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = multiply(divide(inverse(X_27),X_28),X_28) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))),bind(Y,$fot(divide(divide(inverse(X_27),X_28),inverse(X_28)))),bind(Z,$fot(multiply(divide(inverse(X_27),X_28),X_28)))]]) ).
cnf(refute_0_88,plain,
( divide(divide(inverse(X_27),X_28),inverse(X_28)) != multiply(divide(inverse(X_27),X_28),X_28)
| divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = multiply(divide(inverse(X_27),X_28),X_28) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)),divide(divide(inverse(X_27),X_28),inverse(X_28))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) = multiply(divide(inverse(X_27),X_28),X_28),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_27),X_28),inverse(X_28)),multiply(divide(inverse(X_27),X_28),X_28)) )],[refute_0_68,refute_0_88]) ).
cnf(refute_0_90,plain,
inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))))]]) ).
cnf(refute_0_91,plain,
( divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) != multiply(divide(inverse(X_27),X_28),X_28)
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = inverse(multiply(divide(inverse(X_27),X_28),X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))) ),[1,0],$fot(multiply(divide(inverse(X_27),X_28),X_28))]]) ).
cnf(refute_0_92,plain,
( divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)) != multiply(divide(inverse(X_27),X_28),X_28)
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = inverse(multiply(divide(inverse(X_27),X_28),X_28)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) = inverse(multiply(divide(inverse(X_27),X_28),X_28)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28)),multiply(divide(inverse(X_27),X_28),X_28)) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != X_27
| inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != inverse(multiply(divide(inverse(X_27),X_28),X_28))
| inverse(multiply(divide(inverse(X_27),X_28),X_28)) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),X_27) ),[0],$fot(inverse(multiply(divide(inverse(X_27),X_28),X_28)))]]) ).
cnf(refute_0_95,plain,
( inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))) != X_27
| inverse(multiply(divide(inverse(X_27),X_28),X_28)) = X_27 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),inverse(multiply(divide(inverse(X_27),X_28),X_28))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(multiply(divide(inverse(X_27),X_28),X_28)) = X_27,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_27),X_28),divide(inverse(multiply(inverse(X_9),X_9)),X_28))),X_27) )],[refute_0_65,refute_0_95]) ).
cnf(refute_0_97,plain,
inverse(multiply(divide(inverse(X_29),inverse(B)),inverse(B))) = X_29,
inference(subst,[],[refute_0_96:[bind(X_27,$fot(X_29)),bind(X_28,$fot(inverse(B)))]]) ).
cnf(refute_0_98,plain,
multiply(inverse(X_29),B) = divide(inverse(X_29),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(X_29)))]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(X_29),B) != divide(inverse(X_29),inverse(B))
| divide(inverse(X_29),inverse(B)) = multiply(inverse(X_29),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_29),B))),bind(Y,$fot(divide(inverse(X_29),inverse(B))))]]) ).
cnf(refute_0_100,plain,
divide(inverse(X_29),inverse(B)) = multiply(inverse(X_29),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),B),divide(inverse(X_29),inverse(B))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( divide(inverse(X_29),inverse(B)) != multiply(inverse(X_29),B)
| inverse(multiply(divide(inverse(X_29),inverse(B)),inverse(B))) != X_29
| inverse(multiply(multiply(inverse(X_29),B),inverse(B))) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_29),inverse(B)),inverse(B))),X_29) ),[0,0,0],$fot(multiply(inverse(X_29),B))]]) ).
cnf(refute_0_102,plain,
( inverse(multiply(divide(inverse(X_29),inverse(B)),inverse(B))) != X_29
| inverse(multiply(multiply(inverse(X_29),B),inverse(B))) = X_29 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_29),inverse(B)),multiply(inverse(X_29),B)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
inverse(multiply(multiply(inverse(X_29),B),inverse(B))) = X_29,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_29),inverse(B)),inverse(B))),X_29) )],[refute_0_97,refute_0_102]) ).
cnf(refute_0_104,plain,
inverse(multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53))))) = X_53,
inference(subst,[],[refute_0_103:[bind(B,$fot(inverse(inverse(X_53)))),bind(X_29,$fot(X_53))]]) ).
cnf(refute_0_105,plain,
divide(X_26,divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))) = X_27,
inference(subst,[],[refute_0_61:[bind(A,$fot(X_26)),bind(B,$fot(X_27)),bind(C,$fot(inverse(X_27)))]]) ).
cnf(refute_0_106,plain,
inverse(divide(inverse(X_26),inverse(X_27))) = divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27))),
inference(subst,[],[inverse:[bind(A,$fot(divide(inverse(X_26),inverse(X_27)))),bind(B,$fot(inverse(X_27)))]]) ).
cnf(refute_0_107,plain,
( inverse(divide(inverse(X_26),inverse(X_27))) != divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))
| divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27))) = inverse(divide(inverse(X_26),inverse(X_27))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(divide(inverse(X_26),inverse(X_27))))),bind(Y,$fot(divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))))]]) ).
cnf(refute_0_108,plain,
divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27))) = inverse(divide(inverse(X_26),inverse(X_27))),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_26),inverse(X_27))),divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( divide(X_26,divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))) != X_27
| divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27))) != inverse(divide(inverse(X_26),inverse(X_27)))
| divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_26,divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))),X_27) ),[0,1],$fot(inverse(divide(inverse(X_26),inverse(X_27))))]]) ).
cnf(refute_0_110,plain,
( divide(X_26,divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))) != X_27
| divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = X_27 ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27))),inverse(divide(inverse(X_26),inverse(X_27)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = X_27,
inference(resolve,[$cnf( $equal(divide(X_26,divide(divide(inverse(X_27),inverse(X_27)),divide(inverse(X_26),inverse(X_27)))),X_27) )],[refute_0_105,refute_0_110]) ).
cnf(refute_0_112,plain,
divide(inverse(X_26),inverse(X_27)) = multiply(inverse(X_26),X_27),
inference(subst,[],[refute_0_67:[bind(A,$fot(inverse(X_26))),bind(B,$fot(X_27))]]) ).
cnf(refute_0_113,plain,
multiply(X_26,divide(inverse(X_26),inverse(X_27))) = multiply(X_26,divide(inverse(X_26),inverse(X_27))),
introduced(tautology,[refl,[$fot(multiply(X_26,divide(inverse(X_26),inverse(X_27))))]]) ).
cnf(refute_0_114,plain,
( multiply(X_26,divide(inverse(X_26),inverse(X_27))) != multiply(X_26,divide(inverse(X_26),inverse(X_27)))
| divide(inverse(X_26),inverse(X_27)) != multiply(inverse(X_26),X_27)
| multiply(X_26,divide(inverse(X_26),inverse(X_27))) = multiply(X_26,multiply(inverse(X_26),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,divide(inverse(X_26),inverse(X_27))),multiply(X_26,divide(inverse(X_26),inverse(X_27)))) ),[1,1],$fot(multiply(inverse(X_26),X_27))]]) ).
cnf(refute_0_115,plain,
( divide(inverse(X_26),inverse(X_27)) != multiply(inverse(X_26),X_27)
| multiply(X_26,divide(inverse(X_26),inverse(X_27))) = multiply(X_26,multiply(inverse(X_26),X_27)) ),
inference(resolve,[$cnf( $equal(multiply(X_26,divide(inverse(X_26),inverse(X_27))),multiply(X_26,divide(inverse(X_26),inverse(X_27)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(X_26,divide(inverse(X_26),inverse(X_27))) = multiply(X_26,multiply(inverse(X_26),X_27)),
inference(resolve,[$cnf( $equal(divide(inverse(X_26),inverse(X_27)),multiply(inverse(X_26),X_27)) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = multiply(X_26,divide(inverse(X_26),inverse(X_27))),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_26)),bind(B,$fot(divide(inverse(X_26),inverse(X_27))))]]) ).
cnf(refute_0_118,plain,
( multiply(X_26,divide(inverse(X_26),inverse(X_27))) != multiply(X_26,multiply(inverse(X_26),X_27))
| divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) != multiply(X_26,divide(inverse(X_26),inverse(X_27)))
| divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = multiply(X_26,multiply(inverse(X_26),X_27)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))))),bind(Y,$fot(multiply(X_26,divide(inverse(X_26),inverse(X_27))))),bind(Z,$fot(multiply(X_26,multiply(inverse(X_26),X_27))))]]) ).
cnf(refute_0_119,plain,
( multiply(X_26,divide(inverse(X_26),inverse(X_27))) != multiply(X_26,multiply(inverse(X_26),X_27))
| divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = multiply(X_26,multiply(inverse(X_26),X_27)) ),
inference(resolve,[$cnf( $equal(divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))),multiply(X_26,divide(inverse(X_26),inverse(X_27)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) = multiply(X_26,multiply(inverse(X_26),X_27)),
inference(resolve,[$cnf( $equal(multiply(X_26,divide(inverse(X_26),inverse(X_27))),multiply(X_26,multiply(inverse(X_26),X_27))) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) != X_27
| divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) != multiply(X_26,multiply(inverse(X_26),X_27))
| multiply(X_26,multiply(inverse(X_26),X_27)) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))),X_27) ),[0],$fot(multiply(X_26,multiply(inverse(X_26),X_27)))]]) ).
cnf(refute_0_122,plain,
( divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))) != X_27
| multiply(X_26,multiply(inverse(X_26),X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))),multiply(X_26,multiply(inverse(X_26),X_27))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(X_26,multiply(inverse(X_26),X_27)) = X_27,
inference(resolve,[$cnf( $equal(divide(X_26,inverse(divide(inverse(X_26),inverse(X_27)))),X_27) )],[refute_0_111,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(multiply(X_45,inverse(X_45)),multiply(inverse(multiply(X_45,inverse(X_45))),X_27)) = X_27,
inference(subst,[],[refute_0_123:[bind(X_26,$fot(multiply(X_45,inverse(X_45))))]]) ).
cnf(refute_0_125,plain,
multiply(inverse(multiply(inverse(X_15),X_15)),B) = divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(multiply(inverse(X_15),X_15))))]]) ).
cnf(refute_0_126,plain,
inverse(inverse(B)) = divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)),
inference(subst,[],[refute_0_79:[bind(A,$fot(inverse(B))),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_127,plain,
( inverse(inverse(B)) != divide(inverse(multiply(inverse(X_15),X_15)),inverse(B))
| divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)) = inverse(inverse(B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(B)))),bind(Y,$fot(divide(inverse(multiply(inverse(X_15),X_15)),inverse(B))))]]) ).
cnf(refute_0_128,plain,
divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),divide(inverse(multiply(inverse(X_15),X_15)),inverse(B))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
( multiply(inverse(multiply(inverse(X_15),X_15)),B) != divide(inverse(multiply(inverse(X_15),X_15)),inverse(B))
| divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)) != inverse(inverse(B))
| multiply(inverse(multiply(inverse(X_15),X_15)),B) = inverse(inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(inverse(X_15),X_15)),B),inverse(inverse(B))) ),[0],$fot(divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)))]]) ).
cnf(refute_0_130,plain,
( multiply(inverse(multiply(inverse(X_15),X_15)),B) != divide(inverse(multiply(inverse(X_15),X_15)),inverse(B))
| multiply(inverse(multiply(inverse(X_15),X_15)),B) = inverse(inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_15),X_15)),inverse(B)),inverse(inverse(B))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(inverse(multiply(inverse(X_15),X_15)),B) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_15),X_15)),B),divide(inverse(multiply(inverse(X_15),X_15)),inverse(B))) )],[refute_0_125,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(inverse(multiply(inverse(inverse(X_38)),inverse(X_38))),B) = inverse(inverse(B)),
inference(subst,[],[refute_0_131:[bind(X_15,$fot(inverse(X_38)))]]) ).
cnf(refute_0_133,plain,
multiply(X_26,multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36))) = multiply(inverse(inverse(X_26)),X_36),
inference(subst,[],[refute_0_123:[bind(X_27,$fot(multiply(inverse(inverse(X_26)),X_36)))]]) ).
cnf(refute_0_134,plain,
multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36)) = X_36,
inference(subst,[],[refute_0_123:[bind(X_26,$fot(inverse(X_26))),bind(X_27,$fot(X_36))]]) ).
cnf(refute_0_135,plain,
( multiply(X_26,multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36))) != multiply(inverse(inverse(X_26)),X_36)
| multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36)) != X_36
| multiply(X_26,X_36) = multiply(inverse(inverse(X_26)),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_26,multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36))),multiply(inverse(inverse(X_26)),X_36)) ),[0,1],$fot(X_36)]]) ).
cnf(refute_0_136,plain,
( multiply(X_26,multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36))) != multiply(inverse(inverse(X_26)),X_36)
| multiply(X_26,X_36) = multiply(inverse(inverse(X_26)),X_36) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36)),X_36) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(X_26,X_36) = multiply(inverse(inverse(X_26)),X_36),
inference(resolve,[$cnf( $equal(multiply(X_26,multiply(inverse(X_26),multiply(inverse(inverse(X_26)),X_36))),multiply(inverse(inverse(X_26)),X_36)) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(X_38,inverse(X_38)) = multiply(inverse(inverse(X_38)),inverse(X_38)),
inference(subst,[],[refute_0_137:[bind(X_26,$fot(X_38)),bind(X_36,$fot(inverse(X_38)))]]) ).
cnf(refute_0_139,plain,
( multiply(X_38,inverse(X_38)) != multiply(inverse(inverse(X_38)),inverse(X_38))
| multiply(inverse(inverse(X_38)),inverse(X_38)) = multiply(X_38,inverse(X_38)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_38,inverse(X_38)))),bind(Y,$fot(multiply(inverse(inverse(X_38)),inverse(X_38))))]]) ).
cnf(refute_0_140,plain,
multiply(inverse(inverse(X_38)),inverse(X_38)) = multiply(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(multiply(X_38,inverse(X_38)),multiply(inverse(inverse(X_38)),inverse(X_38))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( multiply(inverse(multiply(inverse(inverse(X_38)),inverse(X_38))),B) != inverse(inverse(B))
| multiply(inverse(inverse(X_38)),inverse(X_38)) != multiply(X_38,inverse(X_38))
| multiply(inverse(multiply(X_38,inverse(X_38))),B) = inverse(inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(X_38)),inverse(X_38))),B),inverse(inverse(B))) ),[0,0,0],$fot(multiply(X_38,inverse(X_38)))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(multiply(inverse(inverse(X_38)),inverse(X_38))),B) != inverse(inverse(B))
| multiply(inverse(multiply(X_38,inverse(X_38))),B) = inverse(inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_38)),inverse(X_38)),multiply(X_38,inverse(X_38))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(inverse(multiply(X_38,inverse(X_38))),B) = inverse(inverse(B)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(inverse(X_38)),inverse(X_38))),B),inverse(inverse(B))) )],[refute_0_132,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(multiply(X_45,inverse(X_45))),X_27) = inverse(inverse(X_27)),
inference(subst,[],[refute_0_143:[bind(B,$fot(X_27)),bind(X_38,$fot(X_45))]]) ).
cnf(refute_0_145,plain,
( multiply(multiply(X_45,inverse(X_45)),multiply(inverse(multiply(X_45,inverse(X_45))),X_27)) != X_27
| multiply(inverse(multiply(X_45,inverse(X_45))),X_27) != inverse(inverse(X_27))
| multiply(multiply(X_45,inverse(X_45)),inverse(inverse(X_27))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_45,inverse(X_45)),multiply(inverse(multiply(X_45,inverse(X_45))),X_27)),X_27) ),[0,1],$fot(inverse(inverse(X_27)))]]) ).
cnf(refute_0_146,plain,
( multiply(multiply(X_45,inverse(X_45)),multiply(inverse(multiply(X_45,inverse(X_45))),X_27)) != X_27
| multiply(multiply(X_45,inverse(X_45)),inverse(inverse(X_27))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_45,inverse(X_45))),X_27),inverse(inverse(X_27))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(multiply(X_45,inverse(X_45)),inverse(inverse(X_27))) = X_27,
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,inverse(X_45)),multiply(inverse(multiply(X_45,inverse(X_45))),X_27)),X_27) )],[refute_0_124,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(multiply(X_47,inverse(X_47)),inverse(inverse(inverse(inverse(X_36))))) = inverse(inverse(X_36)),
inference(subst,[],[refute_0_147:[bind(X_27,$fot(inverse(inverse(X_36)))),bind(X_45,$fot(X_47))]]) ).
cnf(refute_0_149,plain,
inverse(inverse(X_9)) = divide(divide(B,B),inverse(X_9)),
inference(subst,[],[inverse:[bind(A,$fot(inverse(X_9)))]]) ).
cnf(refute_0_150,plain,
multiply(divide(B,B),X_9) = divide(divide(B,B),inverse(X_9)),
inference(subst,[],[refute_0_12:[bind(A,$fot(divide(B,B))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_151,plain,
( multiply(divide(B,B),X_9) != divide(divide(B,B),inverse(X_9))
| divide(divide(B,B),inverse(X_9)) = multiply(divide(B,B),X_9) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(B,B),X_9))),bind(Y,$fot(divide(divide(B,B),inverse(X_9))))]]) ).
cnf(refute_0_152,plain,
divide(divide(B,B),inverse(X_9)) = multiply(divide(B,B),X_9),
inference(resolve,[$cnf( $equal(multiply(divide(B,B),X_9),divide(divide(B,B),inverse(X_9))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( divide(divide(B,B),inverse(X_9)) != multiply(divide(B,B),X_9)
| inverse(inverse(X_9)) != divide(divide(B,B),inverse(X_9))
| inverse(inverse(X_9)) = multiply(divide(B,B),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_9)),divide(divide(B,B),inverse(X_9))) ),[1],$fot(multiply(divide(B,B),X_9))]]) ).
cnf(refute_0_154,plain,
( inverse(inverse(X_9)) != divide(divide(B,B),inverse(X_9))
| inverse(inverse(X_9)) = multiply(divide(B,B),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),inverse(X_9)),multiply(divide(B,B),X_9)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
inverse(inverse(X_9)) = multiply(divide(B,B),X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(X_9)),divide(divide(B,B),inverse(X_9))) )],[refute_0_149,refute_0_154]) ).
cnf(refute_0_156,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36)),
inference(subst,[],[refute_0_155:[bind(X_9,$fot(multiply(inverse(divide(B,B)),X_36)))]]) ).
cnf(refute_0_157,plain,
multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36)) = X_36,
inference(subst,[],[refute_0_123:[bind(X_26,$fot(divide(B,B))),bind(X_27,$fot(X_36))]]) ).
cnf(refute_0_158,plain,
( multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36)) != X_36
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) != multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36))
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = X_36 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36))) ),[1],$fot(X_36)]]) ).
cnf(refute_0_159,plain,
( inverse(inverse(multiply(inverse(divide(B,B)),X_36))) != multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36))
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = X_36 ),
inference(resolve,[$cnf( $equal(multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36)),X_36) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = X_36,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),multiply(divide(B,B),multiply(inverse(divide(B,B)),X_36))) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
inverse(inverse(X_9)) = divide(inverse(divide(X_1,X_1)),inverse(X_9)),
inference(subst,[],[refute_0_75:[bind(A,$fot(inverse(X_9)))]]) ).
cnf(refute_0_162,plain,
multiply(inverse(divide(X_1,X_1)),X_9) = divide(inverse(divide(X_1,X_1)),inverse(X_9)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(divide(X_1,X_1)))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_163,plain,
( multiply(inverse(divide(X_1,X_1)),X_9) != divide(inverse(divide(X_1,X_1)),inverse(X_9))
| divide(inverse(divide(X_1,X_1)),inverse(X_9)) = multiply(inverse(divide(X_1,X_1)),X_9) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(divide(X_1,X_1)),X_9))),bind(Y,$fot(divide(inverse(divide(X_1,X_1)),inverse(X_9))))]]) ).
cnf(refute_0_164,plain,
divide(inverse(divide(X_1,X_1)),inverse(X_9)) = multiply(inverse(divide(X_1,X_1)),X_9),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),X_9),divide(inverse(divide(X_1,X_1)),inverse(X_9))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
( divide(inverse(divide(X_1,X_1)),inverse(X_9)) != multiply(inverse(divide(X_1,X_1)),X_9)
| inverse(inverse(X_9)) != divide(inverse(divide(X_1,X_1)),inverse(X_9))
| inverse(inverse(X_9)) = multiply(inverse(divide(X_1,X_1)),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_9)),divide(inverse(divide(X_1,X_1)),inverse(X_9))) ),[1],$fot(multiply(inverse(divide(X_1,X_1)),X_9))]]) ).
cnf(refute_0_166,plain,
( inverse(inverse(X_9)) != divide(inverse(divide(X_1,X_1)),inverse(X_9))
| inverse(inverse(X_9)) = multiply(inverse(divide(X_1,X_1)),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),inverse(X_9)),multiply(inverse(divide(X_1,X_1)),X_9)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(inverse(X_9)) = multiply(inverse(divide(X_1,X_1)),X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(X_9)),divide(inverse(divide(X_1,X_1)),inverse(X_9))) )],[refute_0_161,refute_0_166]) ).
cnf(refute_0_168,plain,
( inverse(inverse(X_9)) != multiply(inverse(divide(X_1,X_1)),X_9)
| multiply(inverse(divide(X_1,X_1)),X_9) = inverse(inverse(X_9)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_9)))),bind(Y,$fot(multiply(inverse(divide(X_1,X_1)),X_9)))]]) ).
cnf(refute_0_169,plain,
multiply(inverse(divide(X_1,X_1)),X_9) = inverse(inverse(X_9)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_9)),multiply(inverse(divide(X_1,X_1)),X_9)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(inverse(divide(B,B)),X_36) = inverse(inverse(X_36)),
inference(subst,[],[refute_0_169:[bind(X_1,$fot(B)),bind(X_9,$fot(X_36))]]) ).
cnf(refute_0_171,plain,
inverse(multiply(inverse(divide(B,B)),X_36)) = inverse(multiply(inverse(divide(B,B)),X_36)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(divide(B,B)),X_36)))]]) ).
cnf(refute_0_172,plain,
( multiply(inverse(divide(B,B)),X_36) != inverse(inverse(X_36))
| inverse(multiply(inverse(divide(B,B)),X_36)) != inverse(multiply(inverse(divide(B,B)),X_36))
| inverse(multiply(inverse(divide(B,B)),X_36)) = inverse(inverse(inverse(X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(divide(B,B)),X_36)),inverse(multiply(inverse(divide(B,B)),X_36))) ),[1,0],$fot(inverse(inverse(X_36)))]]) ).
cnf(refute_0_173,plain,
( multiply(inverse(divide(B,B)),X_36) != inverse(inverse(X_36))
| inverse(multiply(inverse(divide(B,B)),X_36)) = inverse(inverse(inverse(X_36))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(divide(B,B)),X_36)),inverse(multiply(inverse(divide(B,B)),X_36))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(multiply(inverse(divide(B,B)),X_36)) = inverse(inverse(inverse(X_36))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,B)),X_36),inverse(inverse(X_36))) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = inverse(inverse(multiply(inverse(divide(B,B)),X_36))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(inverse(divide(B,B)),X_36))))]]) ).
cnf(refute_0_176,plain,
( inverse(multiply(inverse(divide(B,B)),X_36)) != inverse(inverse(inverse(X_36)))
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) != inverse(inverse(multiply(inverse(divide(B,B)),X_36)))
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = inverse(inverse(inverse(inverse(X_36)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),inverse(inverse(multiply(inverse(divide(B,B)),X_36)))) ),[1,0],$fot(inverse(inverse(inverse(X_36))))]]) ).
cnf(refute_0_177,plain,
( inverse(multiply(inverse(divide(B,B)),X_36)) != inverse(inverse(inverse(X_36)))
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = inverse(inverse(inverse(inverse(X_36)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),inverse(inverse(multiply(inverse(divide(B,B)),X_36)))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_36))) = inverse(inverse(inverse(inverse(X_36)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(divide(B,B)),X_36)),inverse(inverse(inverse(X_36)))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
( inverse(inverse(multiply(inverse(divide(B,B)),X_36))) != X_36
| inverse(inverse(multiply(inverse(divide(B,B)),X_36))) != inverse(inverse(inverse(inverse(X_36))))
| inverse(inverse(inverse(inverse(X_36)))) = X_36 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),X_36) ),[0],$fot(inverse(inverse(inverse(inverse(X_36)))))]]) ).
cnf(refute_0_180,plain,
( inverse(inverse(multiply(inverse(divide(B,B)),X_36))) != X_36
| inverse(inverse(inverse(inverse(X_36)))) = X_36 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),inverse(inverse(inverse(inverse(X_36))))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
inverse(inverse(inverse(inverse(X_36)))) = X_36,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_36))),X_36) )],[refute_0_160,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(multiply(X_47,inverse(X_47)),inverse(inverse(inverse(inverse(X_36))))) != inverse(inverse(X_36))
| inverse(inverse(inverse(inverse(X_36)))) != X_36
| multiply(multiply(X_47,inverse(X_47)),X_36) = inverse(inverse(X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_47,inverse(X_47)),inverse(inverse(inverse(inverse(X_36))))),inverse(inverse(X_36))) ),[0,1],$fot(X_36)]]) ).
cnf(refute_0_183,plain,
( multiply(multiply(X_47,inverse(X_47)),inverse(inverse(inverse(inverse(X_36))))) != inverse(inverse(X_36))
| multiply(multiply(X_47,inverse(X_47)),X_36) = inverse(inverse(X_36)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_36)))),X_36) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(multiply(X_47,inverse(X_47)),X_36) = inverse(inverse(X_36)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_47,inverse(X_47)),inverse(inverse(inverse(inverse(X_36))))),inverse(inverse(X_36))) )],[refute_0_148,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53)))) = inverse(inverse(inverse(inverse(inverse(X_53))))),
inference(subst,[],[refute_0_184:[bind(X_36,$fot(inverse(inverse(inverse(X_53))))),bind(X_47,$fot(inverse(X_53)))]]) ).
cnf(refute_0_186,plain,
( multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53)))) != inverse(inverse(inverse(inverse(inverse(X_53)))))
| inverse(multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53))))) != X_53
| inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53))))),X_53) ),[0,0],$fot(inverse(inverse(inverse(inverse(inverse(X_53))))))]]) ).
cnf(refute_0_187,plain,
( inverse(multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53))))) != X_53
| inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53)))),inverse(inverse(inverse(inverse(inverse(X_53)))))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = X_53,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_53),inverse(inverse(X_53))),inverse(inverse(inverse(X_53))))),X_53) )],[refute_0_104,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(multiply(multiply(inverse(inverse(X_26)),X_52),inverse(X_52))) = inverse(X_26),
inference(subst,[],[refute_0_103:[bind(B,$fot(X_52)),bind(X_29,$fot(inverse(X_26)))]]) ).
cnf(refute_0_190,plain,
multiply(X_26,X_52) = multiply(inverse(inverse(X_26)),X_52),
inference(subst,[],[refute_0_137:[bind(X_36,$fot(X_52))]]) ).
cnf(refute_0_191,plain,
( multiply(X_26,X_52) != multiply(inverse(inverse(X_26)),X_52)
| multiply(inverse(inverse(X_26)),X_52) = multiply(X_26,X_52) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_26,X_52))),bind(Y,$fot(multiply(inverse(inverse(X_26)),X_52)))]]) ).
cnf(refute_0_192,plain,
multiply(inverse(inverse(X_26)),X_52) = multiply(X_26,X_52),
inference(resolve,[$cnf( $equal(multiply(X_26,X_52),multiply(inverse(inverse(X_26)),X_52)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
( multiply(inverse(inverse(X_26)),X_52) != multiply(X_26,X_52)
| inverse(multiply(multiply(inverse(inverse(X_26)),X_52),inverse(X_52))) != inverse(X_26)
| inverse(multiply(multiply(X_26,X_52),inverse(X_52))) = inverse(X_26) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(X_26)),X_52),inverse(X_52))),inverse(X_26)) ),[0,0,0],$fot(multiply(X_26,X_52))]]) ).
cnf(refute_0_194,plain,
( inverse(multiply(multiply(inverse(inverse(X_26)),X_52),inverse(X_52))) != inverse(X_26)
| inverse(multiply(multiply(X_26,X_52),inverse(X_52))) = inverse(X_26) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_26)),X_52),multiply(X_26,X_52)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(multiply(multiply(X_26,X_52),inverse(X_52))) = inverse(X_26),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(X_26)),X_52),inverse(X_52))),inverse(X_26)) )],[refute_0_189,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_29),B),inverse(B))),X_52),inverse(X_52))) = multiply(multiply(inverse(X_29),B),inverse(B)),
inference(subst,[],[refute_0_103:[bind(B,$fot(X_52)),bind(X_29,$fot(multiply(multiply(inverse(X_29),B),inverse(B))))]]) ).
cnf(refute_0_197,plain,
( inverse(multiply(multiply(inverse(X_29),B),inverse(B))) != X_29
| inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_29),B),inverse(B))),X_52),inverse(X_52))) != multiply(multiply(inverse(X_29),B),inverse(B))
| inverse(multiply(multiply(X_29,X_52),inverse(X_52))) = multiply(multiply(inverse(X_29),B),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_29),B),inverse(B))),X_52),inverse(X_52))),multiply(multiply(inverse(X_29),B),inverse(B))) ),[0,0,0,0],$fot(X_29)]]) ).
cnf(refute_0_198,plain,
( inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_29),B),inverse(B))),X_52),inverse(X_52))) != multiply(multiply(inverse(X_29),B),inverse(B))
| inverse(multiply(multiply(X_29,X_52),inverse(X_52))) = multiply(multiply(inverse(X_29),B),inverse(B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_29),B),inverse(B))),X_29) )],[refute_0_103,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(multiply(multiply(X_29,X_52),inverse(X_52))) = multiply(multiply(inverse(X_29),B),inverse(B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_29),B),inverse(B))),X_52),inverse(X_52))),multiply(multiply(inverse(X_29),B),inverse(B))) )],[refute_0_196,refute_0_198]) ).
cnf(refute_0_200,plain,
inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52)))))) = multiply(multiply(inverse(X_53),X_52),inverse(X_52)),
inference(subst,[],[refute_0_181:[bind(X_36,$fot(multiply(multiply(inverse(X_53),X_52),inverse(X_52))))]]) ).
cnf(refute_0_201,plain,
inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52))) = X_53,
inference(subst,[],[refute_0_103:[bind(B,$fot(X_52)),bind(X_29,$fot(X_53))]]) ).
cnf(refute_0_202,plain,
( inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52))) != X_53
| inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52)))))) != multiply(multiply(inverse(X_53),X_52),inverse(X_52))
| inverse(inverse(inverse(X_53))) = multiply(multiply(inverse(X_53),X_52),inverse(X_52)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52)))))),multiply(multiply(inverse(X_53),X_52),inverse(X_52))) ),[0,0,0,0],$fot(X_53)]]) ).
cnf(refute_0_203,plain,
( inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52)))))) != multiply(multiply(inverse(X_53),X_52),inverse(X_52))
| inverse(inverse(inverse(X_53))) = multiply(multiply(inverse(X_53),X_52),inverse(X_52)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52))),X_53) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(inverse(inverse(X_53))) = multiply(multiply(inverse(X_53),X_52),inverse(X_52)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_53),X_52),inverse(X_52)))))),multiply(multiply(inverse(X_53),X_52),inverse(X_52))) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
( inverse(inverse(inverse(X_53))) != multiply(multiply(inverse(X_53),X_52),inverse(X_52))
| multiply(multiply(inverse(X_53),X_52),inverse(X_52)) = inverse(inverse(inverse(X_53))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(inverse(X_53))))),bind(Y,$fot(multiply(multiply(inverse(X_53),X_52),inverse(X_52))))]]) ).
cnf(refute_0_206,plain,
multiply(multiply(inverse(X_53),X_52),inverse(X_52)) = inverse(inverse(inverse(X_53))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_53))),multiply(multiply(inverse(X_53),X_52),inverse(X_52))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(multiply(inverse(X_29),B),inverse(B)) = inverse(inverse(inverse(X_29))),
inference(subst,[],[refute_0_206:[bind(X_52,$fot(B)),bind(X_53,$fot(X_29))]]) ).
cnf(refute_0_208,plain,
( multiply(multiply(inverse(X_29),B),inverse(B)) != inverse(inverse(inverse(X_29)))
| inverse(multiply(multiply(X_29,X_52),inverse(X_52))) != multiply(multiply(inverse(X_29),B),inverse(B))
| inverse(multiply(multiply(X_29,X_52),inverse(X_52))) = inverse(inverse(inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_29,X_52),inverse(X_52))),multiply(multiply(inverse(X_29),B),inverse(B))) ),[1],$fot(inverse(inverse(inverse(X_29))))]]) ).
cnf(refute_0_209,plain,
( inverse(multiply(multiply(X_29,X_52),inverse(X_52))) != multiply(multiply(inverse(X_29),B),inverse(B))
| inverse(multiply(multiply(X_29,X_52),inverse(X_52))) = inverse(inverse(inverse(X_29))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_29),B),inverse(B)),inverse(inverse(inverse(X_29)))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(multiply(multiply(X_29,X_52),inverse(X_52))) = inverse(inverse(inverse(X_29))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_29,X_52),inverse(X_52))),multiply(multiply(inverse(X_29),B),inverse(B))) )],[refute_0_199,refute_0_209]) ).
cnf(refute_0_211,plain,
inverse(multiply(multiply(X_26,X_52),inverse(X_52))) = inverse(inverse(inverse(X_26))),
inference(subst,[],[refute_0_210:[bind(X_29,$fot(X_26))]]) ).
cnf(refute_0_212,plain,
( inverse(multiply(multiply(X_26,X_52),inverse(X_52))) != inverse(X_26)
| inverse(multiply(multiply(X_26,X_52),inverse(X_52))) != inverse(inverse(inverse(X_26)))
| inverse(inverse(inverse(X_26))) = inverse(X_26) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_26,X_52),inverse(X_52))),inverse(X_26)) ),[0],$fot(inverse(inverse(inverse(X_26))))]]) ).
cnf(refute_0_213,plain,
( inverse(multiply(multiply(X_26,X_52),inverse(X_52))) != inverse(X_26)
| inverse(inverse(inverse(X_26))) = inverse(X_26) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_26,X_52),inverse(X_52))),inverse(inverse(inverse(X_26)))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
inverse(inverse(inverse(X_26))) = inverse(X_26),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_26,X_52),inverse(X_52))),inverse(X_26)) )],[refute_0_195,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(inverse(inverse(inverse(X_53)))) = inverse(inverse(X_53)),
inference(subst,[],[refute_0_214:[bind(X_26,$fot(inverse(X_53)))]]) ).
cnf(refute_0_216,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = inverse(inverse(inverse(inverse(X_53)))),
inference(subst,[],[refute_0_214:[bind(X_26,$fot(inverse(inverse(inverse(X_53)))))]]) ).
cnf(refute_0_217,plain,
( inverse(inverse(inverse(inverse(X_53)))) != inverse(inverse(X_53))
| inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) != inverse(inverse(inverse(inverse(X_53))))
| inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = inverse(inverse(X_53)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))))),bind(Y,$fot(inverse(inverse(inverse(inverse(X_53)))))),bind(Z,$fot(inverse(inverse(X_53))))]]) ).
cnf(refute_0_218,plain,
( inverse(inverse(inverse(inverse(X_53)))) != inverse(inverse(X_53))
| inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = inverse(inverse(X_53)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))),inverse(inverse(inverse(inverse(X_53))))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) = inverse(inverse(X_53)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_53)))),inverse(inverse(X_53))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) != X_53
| inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) != inverse(inverse(X_53))
| inverse(inverse(X_53)) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))),X_53) ),[0],$fot(inverse(inverse(X_53)))]]) ).
cnf(refute_0_221,plain,
( inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))) != X_53
| inverse(inverse(X_53)) = X_53 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))),inverse(inverse(X_53))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
inverse(inverse(X_53)) = X_53,
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_53)))))),X_53) )],[refute_0_188,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(inverse(a2)) = a2,
inference(subst,[],[refute_0_222:[bind(X_53,$fot(a2))]]) ).
cnf(refute_0_224,plain,
( a2 != a2
| inverse(inverse(a2)) != a2
| inverse(inverse(a2)) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).
cnf(refute_0_225,plain,
( a2 != a2
| inverse(inverse(a2)) = a2 ),
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_225,refute_0_30]) ).
cnf(refute_0_227,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_228,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_227,refute_0_226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP446-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 03:28:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46
% 0.20/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.49
%------------------------------------------------------------------------------