TSTP Solution File: GRP465-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 10:40:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 99
% Syntax : Number of clauses : 348 ( 181 unt; 0 nHn; 163 RR)
% Number of literals : 591 ( 590 equ; 245 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 689 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(identity,B)) ).
cnf(inverse,axiom,
inverse(A) = divide(identity,A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
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( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_4,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(identity,A),C) = divide(divide(identity,A),C),
introduced(tautology,[refl,[$fot(divide(divide(identity,A),C))]]) ).
cnf(refute_0_6,plain,
( divide(divide(identity,A),C) != divide(divide(identity,A),C)
| divide(identity,A) != inverse(A)
| divide(divide(identity,A),C) = divide(inverse(A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,A),C),divide(divide(identity,A),C)) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_7,plain,
( divide(identity,A) != inverse(A)
| divide(divide(identity,A),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,A),C),divide(divide(identity,A),C)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
divide(divide(identity,A),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(identity,A),inverse(A)) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(divide(inverse(B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(divide(identity,A),C)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(B),C),divide(divide(identity,A),C)))]]) ).
cnf(refute_0_10,plain,
( divide(divide(identity,A),C) != divide(inverse(A),C)
| divide(divide(inverse(B),C),divide(divide(identity,A),C)) != divide(divide(inverse(B),C),divide(divide(identity,A),C))
| divide(divide(inverse(B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(identity,A),C)),divide(divide(inverse(B),C),divide(divide(identity,A),C))) ),[1,1],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_11,plain,
( divide(divide(identity,A),C) != divide(inverse(A),C)
| divide(divide(inverse(B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(identity,A),C)),divide(divide(inverse(B),C),divide(divide(identity,A),C))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(divide(inverse(B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(identity,A),C),divide(inverse(A),C)) )],[refute_0_8,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(identity,B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_14,plain,
( identity != divide(A,A)
| divide(A,A) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_15,plain,
divide(A,A) = identity,
inference(resolve,[$cnf( $equal(identity,divide(A,A)) )],[identity,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(divide(A,A),B) = divide(divide(A,A),B),
introduced(tautology,[refl,[$fot(divide(divide(A,A),B))]]) ).
cnf(refute_0_17,plain,
( divide(A,A) != identity
| divide(divide(A,A),B) != divide(divide(A,A),B)
| divide(divide(A,A),B) = divide(identity,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),B),divide(divide(A,A),B)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_18,plain,
( divide(A,A) != identity
| divide(divide(A,A),B) = divide(identity,B) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),B),divide(divide(A,A),B)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
divide(divide(A,A),B) = divide(identity,B),
inference(resolve,[$cnf( $equal(divide(A,A),identity) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_20]) ).
cnf(refute_0_22,plain,
( divide(divide(A,A),B) != divide(identity,B)
| divide(identity,B) != inverse(B)
| divide(divide(A,A),B) = inverse(B) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(divide(A,A),B))),bind(Y,$fot(divide(identity,B))),bind(Z,$fot(inverse(B)))]]) ).
cnf(refute_0_23,plain,
( divide(identity,B) != inverse(B)
| divide(divide(A,A),B) = inverse(B) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),B),divide(identity,B)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(divide(A,A),B) = inverse(B),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_13,refute_0_23]) ).
cnf(refute_0_25,plain,
divide(divide(divide(A,A),B),C) = divide(divide(divide(A,A),B),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),B),C))]]) ).
cnf(refute_0_26,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_27,plain,
( divide(divide(A,A),B) != inverse(B)
| divide(divide(divide(A,A),B),C) = divide(inverse(B),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),B),C),divide(divide(divide(A,A),B),C)) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(divide(divide(A,A),B),C) = divide(inverse(B),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),B),inverse(B)) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)))]]) ).
cnf(refute_0_30,plain,
( divide(divide(divide(A,A),B),C) != divide(inverse(B),C)
| divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) != divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))
| divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(divide(identity,A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)),divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) ),[1,0],$fot(divide(inverse(B),C))]]) ).
cnf(refute_0_31,plain,
( divide(divide(divide(A,A),B),C) != divide(inverse(B),C)
| divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(divide(identity,A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)),divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(divide(identity,A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),B),C),divide(inverse(B),C)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) != divide(divide(inverse(B),C),divide(divide(identity,A),C))
| divide(divide(inverse(B),C),divide(divide(identity,A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)))),bind(Y,$fot(divide(divide(inverse(B),C),divide(divide(identity,A),C)))),bind(Z,$fot(divide(divide(inverse(B),C),divide(inverse(A),C))))]]) ).
cnf(refute_0_34,plain,
( divide(divide(inverse(B),C),divide(divide(identity,A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)),divide(divide(inverse(B),C),divide(divide(identity,A),C))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(identity,A),C)),divide(divide(inverse(B),C),divide(inverse(A),C))) )],[refute_0_12,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))))]]) ).
cnf(refute_0_37,plain,
( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) != divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)))
| divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))),divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)))) ),[1,1],$fot(divide(divide(inverse(B),C),divide(inverse(A),C)))]]) ).
cnf(refute_0_38,plain,
( divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))),divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C)),divide(divide(inverse(B),C),divide(inverse(A),C))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) != B
| divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) != divide(A,divide(divide(inverse(B),C),divide(inverse(A),C)))
| divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))),B) ),[0],$fot(divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))))]]) ).
cnf(refute_0_41,plain,
( divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))) != B
| divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))),divide(A,divide(divide(inverse(B),C),divide(inverse(A),C)))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B,
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(A,A),B),C),divide(divide(identity,A),C))),B) )],[single_axiom,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(X_7,divide(divide(inverse(X_8),inverse(X_8)),divide(inverse(X_7),inverse(X_8)))) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(X_8)))]]) ).
cnf(refute_0_44,plain,
identity = divide(inverse(X_8),inverse(X_8)),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_8)))]]) ).
cnf(refute_0_45,plain,
( identity != divide(inverse(X_8),inverse(X_8))
| divide(inverse(X_8),inverse(X_8)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(inverse(X_8),inverse(X_8))))]]) ).
cnf(refute_0_46,plain,
divide(inverse(X_8),inverse(X_8)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_8),inverse(X_8))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(X_8)),divide(inverse(X_7),inverse(X_8)))) != X_8
| divide(inverse(X_8),inverse(X_8)) != identity
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(X_8)),divide(inverse(X_7),inverse(X_8)))),X_8) ),[0,1,0],$fot(identity)]]) ).
cnf(refute_0_48,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(X_8)),divide(inverse(X_7),inverse(X_8)))) != X_8
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),inverse(X_8)),identity) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = X_8,
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(X_8)),divide(inverse(X_7),inverse(X_8)))),X_8) )],[refute_0_43,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(A,divide(identity,B)) = divide(A,divide(identity,B)),
introduced(tautology,[refl,[$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_51,plain,
( divide(A,divide(identity,B)) != divide(A,divide(identity,B))
| divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_52,plain,
( divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
divide(A,divide(identity,B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_13,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| divide(A,divide(identity,B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_55,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,inverse(B))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(identity,B))) )],[multiply,refute_0_55]) ).
cnf(refute_0_57,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_58,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
divide(X_7,inverse(multiply(inverse(X_7),X_8))) = multiply(X_7,multiply(inverse(X_7),X_8)),
inference(subst,[],[refute_0_58:[bind(A,$fot(X_7)),bind(B,$fot(multiply(inverse(X_7),X_8)))]]) ).
cnf(refute_0_60,plain,
divide(inverse(X_7),inverse(X_8)) = multiply(inverse(X_7),X_8),
inference(subst,[],[refute_0_58:[bind(A,$fot(inverse(X_7))),bind(B,$fot(X_8))]]) ).
cnf(refute_0_61,plain,
inverse(divide(inverse(X_7),inverse(X_8))) = inverse(divide(inverse(X_7),inverse(X_8))),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_7),inverse(X_8))))]]) ).
cnf(refute_0_62,plain,
( divide(inverse(X_7),inverse(X_8)) != multiply(inverse(X_7),X_8)
| inverse(divide(inverse(X_7),inverse(X_8))) != inverse(divide(inverse(X_7),inverse(X_8)))
| inverse(divide(inverse(X_7),inverse(X_8))) = inverse(multiply(inverse(X_7),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_7),inverse(X_8))),inverse(divide(inverse(X_7),inverse(X_8)))) ),[1,0],$fot(multiply(inverse(X_7),X_8))]]) ).
cnf(refute_0_63,plain,
( divide(inverse(X_7),inverse(X_8)) != multiply(inverse(X_7),X_8)
| inverse(divide(inverse(X_7),inverse(X_8))) = inverse(multiply(inverse(X_7),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_7),inverse(X_8))),inverse(divide(inverse(X_7),inverse(X_8)))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(divide(inverse(X_7),inverse(X_8))) = inverse(multiply(inverse(X_7),X_8)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_8)),multiply(inverse(X_7),X_8)) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
divide(identity,divide(inverse(X_7),inverse(X_8))) = inverse(divide(inverse(X_7),inverse(X_8))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(inverse(X_7),inverse(X_8))))]]) ).
cnf(refute_0_66,plain,
( divide(identity,divide(inverse(X_7),inverse(X_8))) != inverse(divide(inverse(X_7),inverse(X_8)))
| inverse(divide(inverse(X_7),inverse(X_8))) != inverse(multiply(inverse(X_7),X_8))
| divide(identity,divide(inverse(X_7),inverse(X_8))) = inverse(multiply(inverse(X_7),X_8)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(identity,divide(inverse(X_7),inverse(X_8))))),bind(Y,$fot(inverse(divide(inverse(X_7),inverse(X_8))))),bind(Z,$fot(inverse(multiply(inverse(X_7),X_8))))]]) ).
cnf(refute_0_67,plain,
( inverse(divide(inverse(X_7),inverse(X_8))) != inverse(multiply(inverse(X_7),X_8))
| divide(identity,divide(inverse(X_7),inverse(X_8))) = inverse(multiply(inverse(X_7),X_8)) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_7),inverse(X_8))),inverse(divide(inverse(X_7),inverse(X_8)))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(identity,divide(inverse(X_7),inverse(X_8))) = inverse(multiply(inverse(X_7),X_8)),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_7),inverse(X_8))),inverse(multiply(inverse(X_7),X_8))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))))]]) ).
cnf(refute_0_70,plain,
( divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) != divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8))))
| divide(identity,divide(inverse(X_7),inverse(X_8))) != inverse(multiply(inverse(X_7),X_8))
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = divide(X_7,inverse(multiply(inverse(X_7),X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8))))) ),[1,1],$fot(inverse(multiply(inverse(X_7),X_8)))]]) ).
cnf(refute_0_71,plain,
( divide(identity,divide(inverse(X_7),inverse(X_8))) != inverse(multiply(inverse(X_7),X_8))
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = divide(X_7,inverse(multiply(inverse(X_7),X_8))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8))))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = divide(X_7,inverse(multiply(inverse(X_7),X_8))),
inference(resolve,[$cnf( $equal(divide(identity,divide(inverse(X_7),inverse(X_8))),inverse(multiply(inverse(X_7),X_8))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) != divide(X_7,inverse(multiply(inverse(X_7),X_8)))
| divide(X_7,inverse(multiply(inverse(X_7),X_8))) != multiply(X_7,multiply(inverse(X_7),X_8))
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = multiply(X_7,multiply(inverse(X_7),X_8)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))))),bind(Y,$fot(divide(X_7,inverse(multiply(inverse(X_7),X_8))))),bind(Z,$fot(multiply(X_7,multiply(inverse(X_7),X_8))))]]) ).
cnf(refute_0_74,plain,
( divide(X_7,inverse(multiply(inverse(X_7),X_8))) != multiply(X_7,multiply(inverse(X_7),X_8))
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = multiply(X_7,multiply(inverse(X_7),X_8)) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),divide(X_7,inverse(multiply(inverse(X_7),X_8)))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) = multiply(X_7,multiply(inverse(X_7),X_8)),
inference(resolve,[$cnf( $equal(divide(X_7,inverse(multiply(inverse(X_7),X_8))),multiply(X_7,multiply(inverse(X_7),X_8))) )],[refute_0_59,refute_0_74]) ).
cnf(refute_0_76,plain,
( divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) != X_8
| divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) != multiply(X_7,multiply(inverse(X_7),X_8))
| multiply(X_7,multiply(inverse(X_7),X_8)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),X_8) ),[0],$fot(multiply(X_7,multiply(inverse(X_7),X_8)))]]) ).
cnf(refute_0_77,plain,
( divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))) != X_8
| multiply(X_7,multiply(inverse(X_7),X_8)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),multiply(X_7,multiply(inverse(X_7),X_8))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(X_7,multiply(inverse(X_7),X_8)) = X_8,
inference(resolve,[$cnf( $equal(divide(X_7,divide(identity,divide(inverse(X_7),inverse(X_8)))),X_8) )],[refute_0_49,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(X_7,multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))) = divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)),
inference(subst,[],[refute_0_78:[bind(X_8,$fot(divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))))]]) ).
cnf(refute_0_80,plain,
divide(X_7,divide(divide(inverse(X_8),inverse(B)),divide(inverse(X_7),inverse(B)))) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_81,plain,
multiply(inverse(X_7),B) = divide(inverse(X_7),inverse(B)),
inference(subst,[],[refute_0_56:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_82,plain,
( multiply(inverse(X_7),B) != divide(inverse(X_7),inverse(B))
| divide(inverse(X_7),inverse(B)) = multiply(inverse(X_7),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_7),B))),bind(Y,$fot(divide(inverse(X_7),inverse(B))))]]) ).
cnf(refute_0_83,plain,
divide(inverse(X_7),inverse(B)) = multiply(inverse(X_7),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),B),divide(inverse(X_7),inverse(B))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(B)),divide(inverse(X_7),inverse(B)))) != X_8
| divide(inverse(X_7),inverse(B)) != multiply(inverse(X_7),B)
| divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),divide(inverse(X_7),inverse(B)))),X_8) ),[0,1,1],$fot(multiply(inverse(X_7),B))]]) ).
cnf(refute_0_85,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(B)),divide(inverse(X_7),inverse(B)))) != X_8
| divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(B)),multiply(inverse(X_7),B)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = X_8,
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),divide(inverse(X_7),inverse(B)))),X_8) )],[refute_0_80,refute_0_85]) ).
cnf(refute_0_87,plain,
divide(inverse(X_8),inverse(B)) = multiply(inverse(X_8),B),
inference(subst,[],[refute_0_58:[bind(A,$fot(inverse(X_8)))]]) ).
cnf(refute_0_88,plain,
divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) = divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)))]]) ).
cnf(refute_0_89,plain,
( divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) != divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))
| divide(inverse(X_8),inverse(B)) != multiply(inverse(X_8),B)
| divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) = divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)),divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) ),[1,0],$fot(multiply(inverse(X_8),B))]]) ).
cnf(refute_0_90,plain,
( divide(inverse(X_8),inverse(B)) != multiply(inverse(X_8),B)
| divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) = divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)),divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) = divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B)),
inference(resolve,[$cnf( $equal(divide(inverse(X_8),inverse(B)),multiply(inverse(X_8),B)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))))]]) ).
cnf(refute_0_93,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) != divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)))
| divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) != divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))
| divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))),divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)))) ),[1,1],$fot(divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B)))]]) ).
cnf(refute_0_94,plain,
( divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)) != divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))
| divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))),divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) = divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B)),divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) != X_8
| divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) != divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B)))
| divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))),X_8) ),[0],$fot(divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))))]]) ).
cnf(refute_0_97,plain,
( divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))) != X_8
| divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))),divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) = X_8,
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_8),inverse(B)),multiply(inverse(X_7),B))),X_8) )],[refute_0_86,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(A,divide(X_39,X_38)) = divide(A,inverse(divide(X_39,X_38))),
inference(subst,[],[refute_0_56:[bind(B,$fot(divide(X_39,X_38)))]]) ).
cnf(refute_0_100,plain,
multiply(inverse(X_12),multiply(inverse(inverse(X_12)),X_27)) = X_27,
inference(subst,[],[refute_0_78:[bind(X_7,$fot(inverse(X_12))),bind(X_8,$fot(X_27))]]) ).
cnf(refute_0_101,plain,
inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),
inference(subst,[],[inverse:[bind(A,$fot(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))))]]) ).
cnf(refute_0_102,plain,
divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = X_8,
inference(subst,[],[refute_0_42:[bind(A,$fot(identity)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_103,plain,
( divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != X_8
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))) ),[1],$fot(X_8)]]) ).
cnf(refute_0_104,plain,
( inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),X_8) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = X_8,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),divide(identity,divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
divide(divide(inverse(X_8),X_9),inverse(X_9)) = multiply(divide(inverse(X_8),X_9),X_9),
inference(subst,[],[refute_0_58:[bind(A,$fot(divide(inverse(X_8),X_9))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_107,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_108,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_109,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).
cnf(refute_0_110,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_111,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_113,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_108,refute_0_113]) ).
cnf(refute_0_115,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_116,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
divide(inverse(identity),X_9) = divide(inverse(identity),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(identity),X_9))]]) ).
cnf(refute_0_118,plain,
( divide(inverse(identity),X_9) != divide(inverse(identity),X_9)
| inverse(identity) != identity
| divide(inverse(identity),X_9) = divide(identity,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(identity),X_9),divide(inverse(identity),X_9)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_119,plain,
( inverse(identity) != identity
| divide(inverse(identity),X_9) = divide(identity,X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),X_9),divide(inverse(identity),X_9)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
divide(inverse(identity),X_9) = divide(identity,X_9),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(inverse(identity),X_9) != divide(identity,X_9)
| divide(inverse(identity),X_9) = inverse(X_9) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(inverse(identity),X_9))),bind(Y,$fot(divide(identity,X_9))),bind(Z,$fot(inverse(X_9)))]]) ).
cnf(refute_0_122,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(inverse(identity),X_9) = inverse(X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(identity),X_9),divide(identity,X_9)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
divide(inverse(identity),X_9) = inverse(X_9),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_107,refute_0_122]) ).
cnf(refute_0_124,plain,
divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))]]) ).
cnf(refute_0_125,plain,
( divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) != divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))
| divide(inverse(identity),X_9) != inverse(X_9)
| divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = divide(divide(inverse(X_8),X_9),inverse(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)),divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) ),[1,1],$fot(inverse(X_9))]]) ).
cnf(refute_0_126,plain,
( divide(inverse(identity),X_9) != inverse(X_9)
| divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = divide(divide(inverse(X_8),X_9),inverse(X_9)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)),divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = divide(divide(inverse(X_8),X_9),inverse(X_9)),
inference(resolve,[$cnf( $equal(divide(inverse(identity),X_9),inverse(X_9)) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) != divide(divide(inverse(X_8),X_9),inverse(X_9))
| divide(divide(inverse(X_8),X_9),inverse(X_9)) != multiply(divide(inverse(X_8),X_9),X_9)
| divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = multiply(divide(inverse(X_8),X_9),X_9) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))),bind(Y,$fot(divide(divide(inverse(X_8),X_9),inverse(X_9)))),bind(Z,$fot(multiply(divide(inverse(X_8),X_9),X_9)))]]) ).
cnf(refute_0_129,plain,
( divide(divide(inverse(X_8),X_9),inverse(X_9)) != multiply(divide(inverse(X_8),X_9),X_9)
| divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = multiply(divide(inverse(X_8),X_9),X_9) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)),divide(divide(inverse(X_8),X_9),inverse(X_9))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) = multiply(divide(inverse(X_8),X_9),X_9),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_8),X_9),inverse(X_9)),multiply(divide(inverse(X_8),X_9),X_9)) )],[refute_0_106,refute_0_129]) ).
cnf(refute_0_131,plain,
inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))))]]) ).
cnf(refute_0_132,plain,
( divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) != multiply(divide(inverse(X_8),X_9),X_9)
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = inverse(multiply(divide(inverse(X_8),X_9),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))) ),[1,0],$fot(multiply(divide(inverse(X_8),X_9),X_9))]]) ).
cnf(refute_0_133,plain,
( divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)) != multiply(divide(inverse(X_8),X_9),X_9)
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = inverse(multiply(divide(inverse(X_8),X_9),X_9)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) = inverse(multiply(divide(inverse(X_8),X_9),X_9)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9)),multiply(divide(inverse(X_8),X_9),X_9)) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
( inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != X_8
| inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != inverse(multiply(divide(inverse(X_8),X_9),X_9))
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),X_8) ),[0],$fot(inverse(multiply(divide(inverse(X_8),X_9),X_9)))]]) ).
cnf(refute_0_136,plain,
( inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))) != X_8
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),inverse(multiply(divide(inverse(X_8),X_9),X_9))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
inverse(multiply(divide(inverse(X_8),X_9),X_9)) = X_8,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_8),X_9),divide(inverse(identity),X_9))),X_8) )],[refute_0_105,refute_0_136]) ).
cnf(refute_0_138,plain,
inverse(multiply(divide(inverse(X_12),identity),identity)) = X_12,
inference(subst,[],[refute_0_137:[bind(X_8,$fot(X_12)),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_139,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_2)),bind(B,$fot(identity))]]) ).
cnf(refute_0_140,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_141,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_116,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_139,refute_0_141]) ).
cnf(refute_0_143,plain,
divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))) = X_7,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(X_7)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_144,plain,
identity = divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)),
inference(subst,[],[identity:[bind(A,$fot(divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_145,plain,
( identity != divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))
| divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))))]]) ).
cnf(refute_0_146,plain,
divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))) != X_7
| divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)) != identity
| divide(X_7,identity) = X_7 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))),X_7) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_148,plain,
( divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))) != X_7
| divide(X_7,identity) = X_7 ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9)),identity) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
divide(X_7,identity) = X_7,
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(X_7),X_9),divide(inverse(X_7),X_9))),X_7) )],[refute_0_143,refute_0_148]) ).
cnf(refute_0_150,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,identity))),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_151,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_142,refute_0_150]) ).
cnf(refute_0_152,plain,
divide(X_7,identity) = multiply(X_7,identity),
inference(subst,[],[refute_0_151:[bind(X_2,$fot(X_7))]]) ).
cnf(refute_0_153,plain,
( divide(X_7,identity) != X_7
| divide(X_7,identity) != multiply(X_7,identity)
| multiply(X_7,identity) = X_7 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,identity),X_7) ),[0],$fot(multiply(X_7,identity))]]) ).
cnf(refute_0_154,plain,
( divide(X_7,identity) != X_7
| multiply(X_7,identity) = X_7 ),
inference(resolve,[$cnf( $equal(divide(X_7,identity),multiply(X_7,identity)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(X_7,identity) = X_7,
inference(resolve,[$cnf( $equal(divide(X_7,identity),X_7) )],[refute_0_149,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(X_2,identity) = X_2,
inference(subst,[],[refute_0_155:[bind(X_7,$fot(X_2))]]) ).
cnf(refute_0_157,plain,
( multiply(X_2,identity) != X_2
| multiply(X_2,identity) != divide(X_2,identity)
| X_2 = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) ),[0],$fot(X_2)]]) ).
cnf(refute_0_158,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| X_2 = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),X_2) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
X_2 = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_142,refute_0_158]) ).
cnf(refute_0_160,plain,
inverse(X_12) = divide(inverse(X_12),identity),
inference(subst,[],[refute_0_159:[bind(X_2,$fot(inverse(X_12)))]]) ).
cnf(refute_0_161,plain,
( inverse(X_12) != divide(inverse(X_12),identity)
| divide(inverse(X_12),identity) = inverse(X_12) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(divide(inverse(X_12),identity)))]]) ).
cnf(refute_0_162,plain,
divide(inverse(X_12),identity) = inverse(X_12),
inference(resolve,[$cnf( $equal(inverse(X_12),divide(inverse(X_12),identity)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( divide(inverse(X_12),identity) != inverse(X_12)
| inverse(multiply(divide(inverse(X_12),identity),identity)) != X_12
| inverse(multiply(inverse(X_12),identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_12),identity),identity)),X_12) ),[0,0,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_164,plain,
( inverse(multiply(divide(inverse(X_12),identity),identity)) != X_12
| inverse(multiply(inverse(X_12),identity)) = X_12 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_12),identity),inverse(X_12)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(multiply(inverse(X_12),identity)) = X_12,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_12),identity),identity)),X_12) )],[refute_0_138,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(inverse(X_12),identity) = inverse(X_12),
inference(subst,[],[refute_0_155:[bind(X_7,$fot(inverse(X_12)))]]) ).
cnf(refute_0_167,plain,
inverse(multiply(inverse(X_12),identity)) = inverse(multiply(inverse(X_12),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_12),identity)))]]) ).
cnf(refute_0_168,plain,
( multiply(inverse(X_12),identity) != inverse(X_12)
| inverse(multiply(inverse(X_12),identity)) != inverse(multiply(inverse(X_12),identity))
| inverse(multiply(inverse(X_12),identity)) = inverse(inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_12),identity)),inverse(multiply(inverse(X_12),identity))) ),[1,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_169,plain,
( multiply(inverse(X_12),identity) != inverse(X_12)
| inverse(multiply(inverse(X_12),identity)) = inverse(inverse(X_12)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_12),identity)),inverse(multiply(inverse(X_12),identity))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
inverse(multiply(inverse(X_12),identity)) = inverse(inverse(X_12)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),identity),inverse(X_12)) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( inverse(multiply(inverse(X_12),identity)) != X_12
| inverse(multiply(inverse(X_12),identity)) != inverse(inverse(X_12))
| inverse(inverse(X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_12),identity)),X_12) ),[0],$fot(inverse(inverse(X_12)))]]) ).
cnf(refute_0_172,plain,
( inverse(multiply(inverse(X_12),identity)) != X_12
| inverse(inverse(X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_12),identity)),inverse(inverse(X_12))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
inverse(inverse(X_12)) = X_12,
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_12),identity)),X_12) )],[refute_0_165,refute_0_172]) ).
cnf(refute_0_174,plain,
( multiply(inverse(X_12),multiply(inverse(inverse(X_12)),X_27)) != X_27
| inverse(inverse(X_12)) != X_12
| multiply(inverse(X_12),multiply(X_12,X_27)) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_12),multiply(inverse(inverse(X_12)),X_27)),X_27) ),[0,1,0],$fot(X_12)]]) ).
cnf(refute_0_175,plain,
( multiply(inverse(X_12),multiply(inverse(inverse(X_12)),X_27)) != X_27
| multiply(inverse(X_12),multiply(X_12,X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_12)),X_12) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(inverse(X_12),multiply(X_12,X_27)) = X_27,
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),multiply(inverse(inverse(X_12)),X_27)),X_27) )],[refute_0_100,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(inverse(divide(X_8,X_22)),multiply(divide(X_8,X_22),divide(X_22,X_8))) = divide(X_22,X_8),
inference(subst,[],[refute_0_176:[bind(X_12,$fot(divide(X_8,X_22))),bind(X_27,$fot(divide(X_22,X_8)))]]) ).
cnf(refute_0_178,plain,
divide(X_7,divide(divide(inverse(identity),X_9),divide(inverse(X_7),X_9))) = identity,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_7)),bind(B,$fot(identity)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_179,plain,
( divide(X_7,divide(divide(inverse(identity),X_9),divide(inverse(X_7),X_9))) != identity
| inverse(identity) != identity
| divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(inverse(identity),X_9),divide(inverse(X_7),X_9))),identity) ),[0,1,0,0],$fot(identity)]]) ).
cnf(refute_0_180,plain,
( divide(X_7,divide(divide(inverse(identity),X_9),divide(inverse(X_7),X_9))) != identity
| divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_116,refute_0_179]) ).
cnf(refute_0_181,plain,
divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = identity,
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(inverse(identity),X_9),divide(inverse(X_7),X_9))),identity) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
divide(divide(identity,X_9),divide(inverse(X_7),X_9)) = divide(divide(identity,X_9),divide(inverse(X_7),X_9)),
introduced(tautology,[refl,[$fot(divide(divide(identity,X_9),divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_183,plain,
( divide(divide(identity,X_9),divide(inverse(X_7),X_9)) != divide(divide(identity,X_9),divide(inverse(X_7),X_9))
| divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),divide(inverse(X_7),X_9)) = divide(inverse(X_9),divide(inverse(X_7),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,X_9),divide(inverse(X_7),X_9)),divide(divide(identity,X_9),divide(inverse(X_7),X_9))) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_184,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(divide(identity,X_9),divide(inverse(X_7),X_9)) = divide(inverse(X_9),divide(inverse(X_7),X_9)) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),divide(inverse(X_7),X_9)),divide(divide(identity,X_9),divide(inverse(X_7),X_9))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
divide(divide(identity,X_9),divide(inverse(X_7),X_9)) = divide(inverse(X_9),divide(inverse(X_7),X_9)),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_107,refute_0_184]) ).
cnf(refute_0_186,plain,
divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))))]]) ).
cnf(refute_0_187,plain,
( divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) != divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9)))
| divide(divide(identity,X_9),divide(inverse(X_7),X_9)) != divide(inverse(X_9),divide(inverse(X_7),X_9))
| divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))),divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9)))) ),[1,1],$fot(divide(inverse(X_9),divide(inverse(X_7),X_9)))]]) ).
cnf(refute_0_188,plain,
( divide(divide(identity,X_9),divide(inverse(X_7),X_9)) != divide(inverse(X_9),divide(inverse(X_7),X_9))
| divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))),divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) = divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))),
inference(resolve,[$cnf( $equal(divide(divide(identity,X_9),divide(inverse(X_7),X_9)),divide(inverse(X_9),divide(inverse(X_7),X_9))) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
( divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) != divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9)))
| divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) != identity
| divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))),identity) ),[0],$fot(divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))))]]) ).
cnf(refute_0_191,plain,
( divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))) != identity
| divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))) = identity ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))),divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9)))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
divide(X_7,divide(inverse(X_9),divide(inverse(X_7),X_9))) = identity,
inference(resolve,[$cnf( $equal(divide(X_7,divide(divide(identity,X_9),divide(inverse(X_7),X_9))),identity) )],[refute_0_181,refute_0_191]) ).
cnf(refute_0_193,plain,
divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))) = identity,
inference(subst,[],[refute_0_192:[bind(X_9,$fot(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))]]) ).
cnf(refute_0_194,plain,
divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) = identity,
inference(subst,[],[refute_0_192:[bind(X_7,$fot(inverse(X_7))),bind(X_9,$fot(X_17))]]) ).
cnf(refute_0_195,plain,
( divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))) != identity
| divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) != identity
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))),identity) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_196,plain,
( divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))) != identity
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = identity ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = identity,
inference(resolve,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),divide(inverse(X_7),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))),identity) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))) = multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))),
inference(subst,[],[refute_0_58:[bind(A,$fot(X_7)),bind(B,$fot(divide(inverse(X_17),divide(X_7,X_17))))]]) ).
cnf(refute_0_199,plain,
inverse(inverse(X_7)) = X_7,
inference(subst,[],[refute_0_173:[bind(X_12,$fot(X_7))]]) ).
cnf(refute_0_200,plain,
divide(inverse(inverse(X_7)),X_17) = divide(inverse(inverse(X_7)),X_17),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_7)),X_17))]]) ).
cnf(refute_0_201,plain,
( divide(inverse(inverse(X_7)),X_17) != divide(inverse(inverse(X_7)),X_17)
| inverse(inverse(X_7)) != X_7
| divide(inverse(inverse(X_7)),X_17) = divide(X_7,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_7)),X_17),divide(inverse(inverse(X_7)),X_17)) ),[1,0],$fot(X_7)]]) ).
cnf(refute_0_202,plain,
( inverse(inverse(X_7)) != X_7
| divide(inverse(inverse(X_7)),X_17) = divide(X_7,X_17) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),X_17),divide(inverse(inverse(X_7)),X_17)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
divide(inverse(inverse(X_7)),X_17) = divide(X_7,X_17),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),X_7) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) = divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)),
introduced(tautology,[refl,[$fot(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))]]) ).
cnf(refute_0_205,plain,
( divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) != divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))
| divide(inverse(inverse(X_7)),X_17) != divide(X_7,X_17)
| divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) = divide(inverse(X_17),divide(X_7,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) ),[1,1],$fot(divide(X_7,X_17))]]) ).
cnf(refute_0_206,plain,
( divide(inverse(inverse(X_7)),X_17) != divide(X_7,X_17)
| divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) = divide(inverse(X_17),divide(X_7,X_17)) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)),divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) = divide(inverse(X_17),divide(X_7,X_17)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_7)),X_17),divide(X_7,X_17)) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) = inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))]]) ).
cnf(refute_0_209,plain,
( divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) != divide(inverse(X_17),divide(X_7,X_17))
| inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) != inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))
| inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) = inverse(divide(inverse(X_17),divide(X_7,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))) ),[1,0],$fot(divide(inverse(X_17),divide(X_7,X_17)))]]) ).
cnf(refute_0_210,plain,
( divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)) != divide(inverse(X_17),divide(X_7,X_17))
| inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) = inverse(divide(inverse(X_17),divide(X_7,X_17))) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) = inverse(divide(inverse(X_17),divide(X_7,X_17))),
inference(resolve,[$cnf( $equal(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)),divide(inverse(X_17),divide(X_7,X_17))) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
( X_2 != divide(X_2,identity)
| divide(X_2,identity) = X_2 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_2)),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_213,plain,
divide(X_2,identity) = X_2,
inference(resolve,[$cnf( $equal(X_2,divide(X_2,identity)) )],[refute_0_159,refute_0_212]) ).
cnf(refute_0_214,plain,
divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) = inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),
inference(subst,[],[refute_0_213:[bind(X_2,$fot(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))))]]) ).
cnf(refute_0_215,plain,
( divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) != inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))
| inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) != inverse(divide(inverse(X_17),divide(X_7,X_17)))
| divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) = inverse(divide(inverse(X_17),divide(X_7,X_17))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity))),bind(Y,$fot(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))))),bind(Z,$fot(inverse(divide(inverse(X_17),divide(X_7,X_17)))))]]) ).
cnf(refute_0_216,plain,
( inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))) != inverse(divide(inverse(X_17),divide(X_7,X_17)))
| divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) = inverse(divide(inverse(X_17),divide(X_7,X_17))) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity),inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) = inverse(divide(inverse(X_17),divide(X_7,X_17))),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),inverse(divide(inverse(X_17),divide(X_7,X_17)))) )],[refute_0_211,refute_0_216]) ).
cnf(refute_0_218,plain,
divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),
introduced(tautology,[refl,[$fot(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)))]]) ).
cnf(refute_0_219,plain,
( divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) != divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity))
| divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) != inverse(divide(inverse(X_17),divide(X_7,X_17)))
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity))) ),[1,1],$fot(inverse(divide(inverse(X_17),divide(X_7,X_17))))]]) ).
cnf(refute_0_220,plain,
( divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity) != inverse(divide(inverse(X_17),divide(X_7,X_17)))
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))),
inference(resolve,[$cnf( $equal(divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity),inverse(divide(inverse(X_17),divide(X_7,X_17)))) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) != divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17))))
| divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))) != multiply(X_7,divide(inverse(X_17),divide(X_7,X_17)))
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)))),bind(Y,$fot(divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))))),bind(Z,$fot(multiply(X_7,divide(inverse(X_17),divide(X_7,X_17)))))]]) ).
cnf(refute_0_223,plain,
( divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))) != multiply(X_7,divide(inverse(X_17),divide(X_7,X_17)))
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) = multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))),
inference(resolve,[$cnf( $equal(divide(X_7,inverse(divide(inverse(X_17),divide(X_7,X_17)))),multiply(X_7,divide(inverse(X_17),divide(X_7,X_17)))) )],[refute_0_198,refute_0_223]) ).
cnf(refute_0_225,plain,
( divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) != multiply(X_7,divide(inverse(X_17),divide(X_7,X_17)))
| divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) != identity
| multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),identity) ),[0],$fot(multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))))]]) ).
cnf(refute_0_226,plain,
( divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)) != identity
| multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))) = identity ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),multiply(X_7,divide(inverse(X_17),divide(X_7,X_17)))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(X_7,divide(inverse(X_17),divide(X_7,X_17))) = identity,
inference(resolve,[$cnf( $equal(divide(X_7,divide(inverse(divide(inverse(X_17),divide(inverse(inverse(X_7)),X_17))),identity)),identity) )],[refute_0_197,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(X_21,divide(inverse(inverse(B)),divide(X_21,inverse(B)))) = identity,
inference(subst,[],[refute_0_227:[bind(X_17,$fot(inverse(B))),bind(X_7,$fot(X_21))]]) ).
cnf(refute_0_229,plain,
multiply(X_21,B) = divide(X_21,inverse(B)),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_21))]]) ).
cnf(refute_0_230,plain,
( multiply(X_21,B) != divide(X_21,inverse(B))
| divide(X_21,inverse(B)) = multiply(X_21,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_21,B))),bind(Y,$fot(divide(X_21,inverse(B))))]]) ).
cnf(refute_0_231,plain,
divide(X_21,inverse(B)) = multiply(X_21,B),
inference(resolve,[$cnf( $equal(multiply(X_21,B),divide(X_21,inverse(B))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiply(X_21,divide(inverse(inverse(B)),divide(X_21,inverse(B)))) != identity
| divide(X_21,inverse(B)) != multiply(X_21,B)
| multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),divide(X_21,inverse(B)))),identity) ),[0,1,1],$fot(multiply(X_21,B))]]) ).
cnf(refute_0_233,plain,
( multiply(X_21,divide(inverse(inverse(B)),divide(X_21,inverse(B)))) != identity
| multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = identity ),
inference(resolve,[$cnf( $equal(divide(X_21,inverse(B)),multiply(X_21,B)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),divide(X_21,inverse(B)))),identity) )],[refute_0_228,refute_0_233]) ).
cnf(refute_0_235,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_173:[bind(X_12,$fot(B))]]) ).
cnf(refute_0_236,plain,
divide(inverse(inverse(B)),multiply(X_21,B)) = divide(inverse(inverse(B)),multiply(X_21,B)),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(B)),multiply(X_21,B)))]]) ).
cnf(refute_0_237,plain,
( divide(inverse(inverse(B)),multiply(X_21,B)) != divide(inverse(inverse(B)),multiply(X_21,B))
| inverse(inverse(B)) != B
| divide(inverse(inverse(B)),multiply(X_21,B)) = divide(B,multiply(X_21,B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(B)),multiply(X_21,B)),divide(inverse(inverse(B)),multiply(X_21,B))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_238,plain,
( inverse(inverse(B)) != B
| divide(inverse(inverse(B)),multiply(X_21,B)) = divide(B,multiply(X_21,B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(B)),multiply(X_21,B)),divide(inverse(inverse(B)),multiply(X_21,B))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
divide(inverse(inverse(B)),multiply(X_21,B)) = divide(B,multiply(X_21,B)),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))),
introduced(tautology,[refl,[$fot(multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))))]]) ).
cnf(refute_0_241,plain,
( multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) != multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B)))
| divide(inverse(inverse(B)),multiply(X_21,B)) != divide(B,multiply(X_21,B))
| multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = multiply(X_21,divide(B,multiply(X_21,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))),multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B)))) ),[1,1],$fot(divide(B,multiply(X_21,B)))]]) ).
cnf(refute_0_242,plain,
( divide(inverse(inverse(B)),multiply(X_21,B)) != divide(B,multiply(X_21,B))
| multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = multiply(X_21,divide(B,multiply(X_21,B))) ),
inference(resolve,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))),multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) = multiply(X_21,divide(B,multiply(X_21,B))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(B)),multiply(X_21,B)),divide(B,multiply(X_21,B))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) != multiply(X_21,divide(B,multiply(X_21,B)))
| multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) != identity
| multiply(X_21,divide(B,multiply(X_21,B))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))),identity) ),[0],$fot(multiply(X_21,divide(B,multiply(X_21,B))))]]) ).
cnf(refute_0_245,plain,
( multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))) != identity
| multiply(X_21,divide(B,multiply(X_21,B))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))),multiply(X_21,divide(B,multiply(X_21,B)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(X_21,divide(B,multiply(X_21,B))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_21,divide(inverse(inverse(B)),multiply(X_21,B))),identity) )],[refute_0_234,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(divide(X_8,X_22),divide(X_22,multiply(divide(X_8,X_22),X_22))) = identity,
inference(subst,[],[refute_0_246:[bind(B,$fot(X_22)),bind(X_21,$fot(divide(X_8,X_22)))]]) ).
cnf(refute_0_248,plain,
inverse(inverse(multiply(divide(X_8,X_9),X_9))) = multiply(divide(X_8,X_9),X_9),
inference(subst,[],[refute_0_173:[bind(X_12,$fot(multiply(divide(X_8,X_9),X_9)))]]) ).
cnf(refute_0_249,plain,
inverse(multiply(divide(inverse(multiply(divide(inverse(X_12),X_13),X_13)),X_9),X_9)) = multiply(divide(inverse(X_12),X_13),X_13),
inference(subst,[],[refute_0_137:[bind(X_8,$fot(multiply(divide(inverse(X_12),X_13),X_13)))]]) ).
cnf(refute_0_250,plain,
inverse(multiply(divide(inverse(X_12),X_13),X_13)) = X_12,
inference(subst,[],[refute_0_137:[bind(X_8,$fot(X_12)),bind(X_9,$fot(X_13))]]) ).
cnf(refute_0_251,plain,
( inverse(multiply(divide(inverse(X_12),X_13),X_13)) != X_12
| inverse(multiply(divide(inverse(multiply(divide(inverse(X_12),X_13),X_13)),X_9),X_9)) != multiply(divide(inverse(X_12),X_13),X_13)
| inverse(multiply(divide(X_12,X_9),X_9)) = multiply(divide(inverse(X_12),X_13),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(multiply(divide(inverse(X_12),X_13),X_13)),X_9),X_9)),multiply(divide(inverse(X_12),X_13),X_13)) ),[0,0,0,0],$fot(X_12)]]) ).
cnf(refute_0_252,plain,
( inverse(multiply(divide(inverse(multiply(divide(inverse(X_12),X_13),X_13)),X_9),X_9)) != multiply(divide(inverse(X_12),X_13),X_13)
| inverse(multiply(divide(X_12,X_9),X_9)) = multiply(divide(inverse(X_12),X_13),X_13) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_12),X_13),X_13)),X_12) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(multiply(divide(X_12,X_9),X_9)) = multiply(divide(inverse(X_12),X_13),X_13),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(multiply(divide(inverse(X_12),X_13),X_13)),X_9),X_9)),multiply(divide(inverse(X_12),X_13),X_13)) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
( inverse(multiply(divide(X_12,X_9),X_9)) != multiply(divide(inverse(X_12),X_13),X_13)
| multiply(divide(inverse(X_12),X_13),X_13) = inverse(multiply(divide(X_12,X_9),X_9)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(divide(X_12,X_9),X_9)))),bind(Y,$fot(multiply(divide(inverse(X_12),X_13),X_13)))]]) ).
cnf(refute_0_255,plain,
multiply(divide(inverse(X_12),X_13),X_13) = inverse(multiply(divide(X_12,X_9),X_9)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(X_12,X_9),X_9)),multiply(divide(inverse(X_12),X_13),X_13)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(divide(inverse(X_8),X_9),X_9) = inverse(multiply(divide(X_8,X_9),X_9)),
inference(subst,[],[refute_0_255:[bind(X_12,$fot(X_8)),bind(X_13,$fot(X_9))]]) ).
cnf(refute_0_257,plain,
inverse(multiply(divide(inverse(X_8),X_9),X_9)) = inverse(multiply(divide(inverse(X_8),X_9),X_9)),
introduced(tautology,[refl,[$fot(inverse(multiply(divide(inverse(X_8),X_9),X_9)))]]) ).
cnf(refute_0_258,plain,
( multiply(divide(inverse(X_8),X_9),X_9) != inverse(multiply(divide(X_8,X_9),X_9))
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) != inverse(multiply(divide(inverse(X_8),X_9),X_9))
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) = inverse(inverse(multiply(divide(X_8,X_9),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_8),X_9),X_9)),inverse(multiply(divide(inverse(X_8),X_9),X_9))) ),[1,0],$fot(inverse(multiply(divide(X_8,X_9),X_9)))]]) ).
cnf(refute_0_259,plain,
( multiply(divide(inverse(X_8),X_9),X_9) != inverse(multiply(divide(X_8,X_9),X_9))
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) = inverse(inverse(multiply(divide(X_8,X_9),X_9))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_8),X_9),X_9)),inverse(multiply(divide(inverse(X_8),X_9),X_9))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
inverse(multiply(divide(inverse(X_8),X_9),X_9)) = inverse(inverse(multiply(divide(X_8,X_9),X_9))),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_8),X_9),X_9),inverse(multiply(divide(X_8,X_9),X_9))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( inverse(multiply(divide(inverse(X_8),X_9),X_9)) != inverse(inverse(multiply(divide(X_8,X_9),X_9)))
| inverse(inverse(multiply(divide(X_8,X_9),X_9))) != multiply(divide(X_8,X_9),X_9)
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) = multiply(divide(X_8,X_9),X_9) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(inverse(multiply(divide(inverse(X_8),X_9),X_9)))),bind(Y,$fot(inverse(inverse(multiply(divide(X_8,X_9),X_9))))),bind(Z,$fot(multiply(divide(X_8,X_9),X_9)))]]) ).
cnf(refute_0_262,plain,
( inverse(inverse(multiply(divide(X_8,X_9),X_9))) != multiply(divide(X_8,X_9),X_9)
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) = multiply(divide(X_8,X_9),X_9) ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_8),X_9),X_9)),inverse(inverse(multiply(divide(X_8,X_9),X_9)))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
inverse(multiply(divide(inverse(X_8),X_9),X_9)) = multiply(divide(X_8,X_9),X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(divide(X_8,X_9),X_9))),multiply(divide(X_8,X_9),X_9)) )],[refute_0_248,refute_0_262]) ).
cnf(refute_0_264,plain,
( inverse(multiply(divide(inverse(X_8),X_9),X_9)) != X_8
| inverse(multiply(divide(inverse(X_8),X_9),X_9)) != multiply(divide(X_8,X_9),X_9)
| multiply(divide(X_8,X_9),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_8),X_9),X_9)),X_8) ),[0],$fot(multiply(divide(X_8,X_9),X_9))]]) ).
cnf(refute_0_265,plain,
( inverse(multiply(divide(inverse(X_8),X_9),X_9)) != X_8
| multiply(divide(X_8,X_9),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_8),X_9),X_9)),multiply(divide(X_8,X_9),X_9)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(divide(X_8,X_9),X_9) = X_8,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_8),X_9),X_9)),X_8) )],[refute_0_137,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(divide(X_8,X_22),X_22) = X_8,
inference(subst,[],[refute_0_266:[bind(X_9,$fot(X_22))]]) ).
cnf(refute_0_268,plain,
( multiply(divide(X_8,X_22),X_22) != X_8
| multiply(divide(X_8,X_22),divide(X_22,multiply(divide(X_8,X_22),X_22))) != identity
| multiply(divide(X_8,X_22),divide(X_22,X_8)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_8,X_22),divide(X_22,multiply(divide(X_8,X_22),X_22))),identity) ),[0,1,1],$fot(X_8)]]) ).
cnf(refute_0_269,plain,
( multiply(divide(X_8,X_22),divide(X_22,multiply(divide(X_8,X_22),X_22))) != identity
| multiply(divide(X_8,X_22),divide(X_22,X_8)) = identity ),
inference(resolve,[$cnf( $equal(multiply(divide(X_8,X_22),X_22),X_8) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(divide(X_8,X_22),divide(X_22,X_8)) = identity,
inference(resolve,[$cnf( $equal(multiply(divide(X_8,X_22),divide(X_22,multiply(divide(X_8,X_22),X_22))),identity) )],[refute_0_247,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiply(divide(X_8,X_22),divide(X_22,X_8)) != identity
| multiply(inverse(divide(X_8,X_22)),multiply(divide(X_8,X_22),divide(X_22,X_8))) != divide(X_22,X_8)
| multiply(inverse(divide(X_8,X_22)),identity) = divide(X_22,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_8,X_22)),multiply(divide(X_8,X_22),divide(X_22,X_8))),divide(X_22,X_8)) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_272,plain,
( multiply(inverse(divide(X_8,X_22)),multiply(divide(X_8,X_22),divide(X_22,X_8))) != divide(X_22,X_8)
| multiply(inverse(divide(X_8,X_22)),identity) = divide(X_22,X_8) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_8,X_22),divide(X_22,X_8)),identity) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(inverse(divide(X_8,X_22)),identity) = divide(X_22,X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_8,X_22)),multiply(divide(X_8,X_22),divide(X_22,X_8))),divide(X_22,X_8)) )],[refute_0_177,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(inverse(divide(X_8,X_22)),identity) = inverse(divide(X_8,X_22)),
inference(subst,[],[refute_0_155:[bind(X_7,$fot(inverse(divide(X_8,X_22))))]]) ).
cnf(refute_0_275,plain,
( multiply(inverse(divide(X_8,X_22)),identity) != divide(X_22,X_8)
| multiply(inverse(divide(X_8,X_22)),identity) != inverse(divide(X_8,X_22))
| inverse(divide(X_8,X_22)) = divide(X_22,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_8,X_22)),identity),divide(X_22,X_8)) ),[0],$fot(inverse(divide(X_8,X_22)))]]) ).
cnf(refute_0_276,plain,
( multiply(inverse(divide(X_8,X_22)),identity) != divide(X_22,X_8)
| inverse(divide(X_8,X_22)) = divide(X_22,X_8) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_8,X_22)),identity),inverse(divide(X_8,X_22))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
inverse(divide(X_8,X_22)) = divide(X_22,X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_8,X_22)),identity),divide(X_22,X_8)) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
inverse(divide(X_39,X_38)) = divide(X_38,X_39),
inference(subst,[],[refute_0_277:[bind(X_22,$fot(X_38)),bind(X_8,$fot(X_39))]]) ).
cnf(refute_0_279,plain,
( multiply(A,divide(X_39,X_38)) != divide(A,inverse(divide(X_39,X_38)))
| inverse(divide(X_39,X_38)) != divide(X_38,X_39)
| multiply(A,divide(X_39,X_38)) = divide(A,divide(X_38,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(X_39,X_38)),divide(A,inverse(divide(X_39,X_38)))) ),[1,1],$fot(divide(X_38,X_39))]]) ).
cnf(refute_0_280,plain,
( multiply(A,divide(X_39,X_38)) != divide(A,inverse(divide(X_39,X_38)))
| multiply(A,divide(X_39,X_38)) = divide(A,divide(X_38,X_39)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_39,X_38)),divide(X_38,X_39)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(A,divide(X_39,X_38)) = divide(A,divide(X_38,X_39)),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_39,X_38)),divide(A,inverse(divide(X_39,X_38)))) )],[refute_0_99,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(A,divide(X_39,X_38)) != divide(A,divide(X_38,X_39))
| divide(A,divide(X_38,X_39)) = multiply(A,divide(X_39,X_38)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,divide(X_39,X_38)))),bind(Y,$fot(divide(A,divide(X_38,X_39))))]]) ).
cnf(refute_0_283,plain,
divide(A,divide(X_38,X_39)) = multiply(A,divide(X_39,X_38)),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_39,X_38)),divide(A,divide(X_38,X_39))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) = multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B))),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_7)),bind(X_38,$fot(multiply(inverse(X_8),B))),bind(X_39,$fot(multiply(inverse(X_7),B)))]]) ).
cnf(refute_0_285,plain,
( divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) != X_8
| divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) != multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B)))
| multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))),X_8) ),[0],$fot(multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B))))]]) ).
cnf(refute_0_286,plain,
( divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))) != X_8
| multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B))) = X_8 ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))),multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B)))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(X_7,divide(multiply(inverse(X_7),B),multiply(inverse(X_8),B))) = X_8,
inference(resolve,[$cnf( $equal(divide(X_7,divide(multiply(inverse(X_8),B),multiply(inverse(X_7),B))),X_8) )],[refute_0_98,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) = X_52,
inference(subst,[],[refute_0_287:[bind(B,$fot(X_50)),bind(X_7,$fot(inverse(X_7))),bind(X_8,$fot(X_52))]]) ).
cnf(refute_0_289,plain,
( multiply(X_7,multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))) != divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))
| multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) != X_52
| multiply(X_7,X_52) = divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_7,multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) ),[0,1],$fot(X_52)]]) ).
cnf(refute_0_290,plain,
( multiply(X_7,multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))) != divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))
| multiply(X_7,X_52) = divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))),X_52) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(X_7,X_52) = divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)),
inference(resolve,[$cnf( $equal(multiply(X_7,multiply(inverse(X_7),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) )],[refute_0_79,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(inverse(inverse(X_7)),X_50) = multiply(inverse(inverse(X_7)),X_50),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_7)),X_50))]]) ).
cnf(refute_0_293,plain,
( multiply(inverse(inverse(X_7)),X_50) != multiply(inverse(inverse(X_7)),X_50)
| inverse(inverse(X_7)) != X_7
| multiply(inverse(inverse(X_7)),X_50) = multiply(X_7,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(inverse(X_7)),X_50)) ),[1,0],$fot(X_7)]]) ).
cnf(refute_0_294,plain,
( inverse(inverse(X_7)) != X_7
| multiply(inverse(inverse(X_7)),X_50) = multiply(X_7,X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(inverse(X_7)),X_50)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(inverse(inverse(X_7)),X_50) = multiply(X_7,X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),X_7) )],[refute_0_199,refute_0_294]) ).
cnf(refute_0_296,plain,
divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) = divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))]]) ).
cnf(refute_0_297,plain,
( multiply(inverse(inverse(X_7)),X_50) != multiply(X_7,X_50)
| divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) != divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))
| divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) = divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) ),[1,0],$fot(multiply(X_7,X_50))]]) ).
cnf(refute_0_298,plain,
( multiply(inverse(inverse(X_7)),X_50) != multiply(X_7,X_50)
| divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) = divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50)) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) = divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_7)),X_50),multiply(X_7,X_50)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( multiply(X_7,X_52) != divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))
| divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)) != divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50))
| multiply(X_7,X_52) = divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_7,X_52),divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50))) ),[0],$fot(divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)))]]) ).
cnf(refute_0_301,plain,
( multiply(X_7,X_52) != divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))
| multiply(X_7,X_52) = divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50)) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50)),divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(X_7,X_52) = divide(multiply(X_7,X_50),multiply(inverse(X_52),X_50)),
inference(resolve,[$cnf( $equal(multiply(X_7,X_52),divide(multiply(inverse(inverse(X_7)),X_50),multiply(inverse(X_52),X_50))) )],[refute_0_291,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(X_63,multiply(X_61,X_42)) = divide(multiply(X_63,X_61),multiply(inverse(multiply(X_61,X_42)),X_61)),
inference(subst,[],[refute_0_302:[bind(X_50,$fot(X_61)),bind(X_52,$fot(multiply(X_61,X_42))),bind(X_7,$fot(X_63))]]) ).
cnf(refute_0_304,plain,
multiply(divide(inverse(X_42),X_9),X_9) = inverse(X_42),
inference(subst,[],[refute_0_266:[bind(X_8,$fot(inverse(X_42)))]]) ).
cnf(refute_0_305,plain,
multiply(inverse(multiply(X_37,X_36)),multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37))) = divide(inverse(X_36),X_37),
inference(subst,[],[refute_0_176:[bind(X_12,$fot(multiply(X_37,X_36))),bind(X_27,$fot(divide(inverse(X_36),X_37)))]]) ).
cnf(refute_0_306,plain,
multiply(divide(X_25,inverse(B)),divide(inverse(B),X_25)) = identity,
inference(subst,[],[refute_0_270:[bind(X_22,$fot(inverse(B))),bind(X_8,$fot(X_25))]]) ).
cnf(refute_0_307,plain,
multiply(X_25,B) = divide(X_25,inverse(B)),
inference(subst,[],[refute_0_56:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_308,plain,
( multiply(X_25,B) != divide(X_25,inverse(B))
| divide(X_25,inverse(B)) = multiply(X_25,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_25,B))),bind(Y,$fot(divide(X_25,inverse(B))))]]) ).
cnf(refute_0_309,plain,
divide(X_25,inverse(B)) = multiply(X_25,B),
inference(resolve,[$cnf( $equal(multiply(X_25,B),divide(X_25,inverse(B))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( multiply(divide(X_25,inverse(B)),divide(inverse(B),X_25)) != identity
| divide(X_25,inverse(B)) != multiply(X_25,B)
| multiply(multiply(X_25,B),divide(inverse(B),X_25)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_25,inverse(B)),divide(inverse(B),X_25)),identity) ),[0,0],$fot(multiply(X_25,B))]]) ).
cnf(refute_0_311,plain,
( multiply(divide(X_25,inverse(B)),divide(inverse(B),X_25)) != identity
| multiply(multiply(X_25,B),divide(inverse(B),X_25)) = identity ),
inference(resolve,[$cnf( $equal(divide(X_25,inverse(B)),multiply(X_25,B)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(multiply(X_25,B),divide(inverse(B),X_25)) = identity,
inference(resolve,[$cnf( $equal(multiply(divide(X_25,inverse(B)),divide(inverse(B),X_25)),identity) )],[refute_0_306,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37)) = identity,
inference(subst,[],[refute_0_312:[bind(B,$fot(X_36)),bind(X_25,$fot(X_37))]]) ).
cnf(refute_0_314,plain,
( multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37)) != identity
| multiply(inverse(multiply(X_37,X_36)),multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37))) != divide(inverse(X_36),X_37)
| multiply(inverse(multiply(X_37,X_36)),identity) = divide(inverse(X_36),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_37,X_36)),multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37))),divide(inverse(X_36),X_37)) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_315,plain,
( multiply(inverse(multiply(X_37,X_36)),multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37))) != divide(inverse(X_36),X_37)
| multiply(inverse(multiply(X_37,X_36)),identity) = divide(inverse(X_36),X_37) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37)),identity) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(inverse(multiply(X_37,X_36)),identity) = divide(inverse(X_36),X_37),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_36)),multiply(multiply(X_37,X_36),divide(inverse(X_36),X_37))),divide(inverse(X_36),X_37)) )],[refute_0_305,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(inverse(multiply(X_37,X_36)),identity) = inverse(multiply(X_37,X_36)),
inference(subst,[],[refute_0_155:[bind(X_7,$fot(inverse(multiply(X_37,X_36))))]]) ).
cnf(refute_0_318,plain,
( multiply(inverse(multiply(X_37,X_36)),identity) != divide(inverse(X_36),X_37)
| multiply(inverse(multiply(X_37,X_36)),identity) != inverse(multiply(X_37,X_36))
| inverse(multiply(X_37,X_36)) = divide(inverse(X_36),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_37,X_36)),identity),divide(inverse(X_36),X_37)) ),[0],$fot(inverse(multiply(X_37,X_36)))]]) ).
cnf(refute_0_319,plain,
( multiply(inverse(multiply(X_37,X_36)),identity) != divide(inverse(X_36),X_37)
| inverse(multiply(X_37,X_36)) = divide(inverse(X_36),X_37) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_36)),identity),inverse(multiply(X_37,X_36))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
inverse(multiply(X_37,X_36)) = divide(inverse(X_36),X_37),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_37,X_36)),identity),divide(inverse(X_36),X_37)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
inverse(multiply(X_9,X_42)) = divide(inverse(X_42),X_9),
inference(subst,[],[refute_0_320:[bind(X_36,$fot(X_42)),bind(X_37,$fot(X_9))]]) ).
cnf(refute_0_322,plain,
( inverse(multiply(X_9,X_42)) != divide(inverse(X_42),X_9)
| divide(inverse(X_42),X_9) = inverse(multiply(X_9,X_42)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_9,X_42)))),bind(Y,$fot(divide(inverse(X_42),X_9)))]]) ).
cnf(refute_0_323,plain,
divide(inverse(X_42),X_9) = inverse(multiply(X_9,X_42)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_9,X_42)),divide(inverse(X_42),X_9)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( multiply(divide(inverse(X_42),X_9),X_9) != inverse(X_42)
| divide(inverse(X_42),X_9) != inverse(multiply(X_9,X_42))
| multiply(inverse(multiply(X_9,X_42)),X_9) = inverse(X_42) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(X_42),X_9),X_9),inverse(X_42)) ),[0,0],$fot(inverse(multiply(X_9,X_42)))]]) ).
cnf(refute_0_325,plain,
( multiply(divide(inverse(X_42),X_9),X_9) != inverse(X_42)
| multiply(inverse(multiply(X_9,X_42)),X_9) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_42),X_9),inverse(multiply(X_9,X_42))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(inverse(multiply(X_9,X_42)),X_9) = inverse(X_42),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(X_42),X_9),X_9),inverse(X_42)) )],[refute_0_304,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(inverse(multiply(X_61,X_42)),X_61) = inverse(X_42),
inference(subst,[],[refute_0_326:[bind(X_9,$fot(X_61))]]) ).
cnf(refute_0_328,plain,
( multiply(X_63,multiply(X_61,X_42)) != divide(multiply(X_63,X_61),multiply(inverse(multiply(X_61,X_42)),X_61))
| multiply(inverse(multiply(X_61,X_42)),X_61) != inverse(X_42)
| multiply(X_63,multiply(X_61,X_42)) = divide(multiply(X_63,X_61),inverse(X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_63,multiply(X_61,X_42)),divide(multiply(X_63,X_61),multiply(inverse(multiply(X_61,X_42)),X_61))) ),[1,1],$fot(inverse(X_42))]]) ).
cnf(refute_0_329,plain,
( multiply(X_63,multiply(X_61,X_42)) != divide(multiply(X_63,X_61),multiply(inverse(multiply(X_61,X_42)),X_61))
| multiply(X_63,multiply(X_61,X_42)) = divide(multiply(X_63,X_61),inverse(X_42)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_61,X_42)),X_61),inverse(X_42)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(X_63,multiply(X_61,X_42)) = divide(multiply(X_63,X_61),inverse(X_42)),
inference(resolve,[$cnf( $equal(multiply(X_63,multiply(X_61,X_42)),divide(multiply(X_63,X_61),multiply(inverse(multiply(X_61,X_42)),X_61))) )],[refute_0_303,refute_0_329]) ).
cnf(refute_0_331,plain,
divide(multiply(X_63,X_61),inverse(X_42)) = multiply(multiply(X_63,X_61),X_42),
inference(subst,[],[refute_0_58:[bind(A,$fot(multiply(X_63,X_61))),bind(B,$fot(X_42))]]) ).
cnf(refute_0_332,plain,
( multiply(X_63,multiply(X_61,X_42)) != divide(multiply(X_63,X_61),inverse(X_42))
| divide(multiply(X_63,X_61),inverse(X_42)) != multiply(multiply(X_63,X_61),X_42)
| multiply(X_63,multiply(X_61,X_42)) = multiply(multiply(X_63,X_61),X_42) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_63,multiply(X_61,X_42)),multiply(multiply(X_63,X_61),X_42)) ),[0],$fot(divide(multiply(X_63,X_61),inverse(X_42)))]]) ).
cnf(refute_0_333,plain,
( multiply(X_63,multiply(X_61,X_42)) != divide(multiply(X_63,X_61),inverse(X_42))
| multiply(X_63,multiply(X_61,X_42)) = multiply(multiply(X_63,X_61),X_42) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_63,X_61),inverse(X_42)),multiply(multiply(X_63,X_61),X_42)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(X_63,multiply(X_61,X_42)) = multiply(multiply(X_63,X_61),X_42),
inference(resolve,[$cnf( $equal(multiply(X_63,multiply(X_61,X_42)),divide(multiply(X_63,X_61),inverse(X_42))) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
( multiply(X_63,multiply(X_61,X_42)) != multiply(multiply(X_63,X_61),X_42)
| multiply(multiply(X_63,X_61),X_42) = multiply(X_63,multiply(X_61,X_42)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_63,multiply(X_61,X_42)))),bind(Y,$fot(multiply(multiply(X_63,X_61),X_42)))]]) ).
cnf(refute_0_336,plain,
multiply(multiply(X_63,X_61),X_42) = multiply(X_63,multiply(X_61,X_42)),
inference(resolve,[$cnf( $equal(multiply(X_63,multiply(X_61,X_42)),multiply(multiply(X_63,X_61),X_42)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_336:[bind(X_42,$fot(c3)),bind(X_61,$fot(b3)),bind(X_63,$fot(a3))]]) ).
cnf(refute_0_338,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != 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(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_339,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_339,prove_these_axioms_3]) ).
cnf(refute_0_341,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_342,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_341,refute_0_340]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP465-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 04:44:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.40
% 0.19/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47
%------------------------------------------------------------------------------