TSTP Solution File: GRP448-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP448-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 10:40:42 EDT 2022
% Result : Unsatisfiable 0.17s 0.43s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 55
% Syntax : Number of clauses : 218 ( 117 unt; 0 nHn; 96 RR)
% Number of literals : 363 ( 362 equ; 147 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 464 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(refute_0_0,plain,
inverse(A) = divide(divide(inverse(X_7),inverse(X_7)),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(X_7)))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_5,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_4]) ).
cnf(refute_0_6,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_5:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_7,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_8,plain,
( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
| divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_9,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_12,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(inverse(X_7),X_7) = divide(inverse(X_7),inverse(X_7)),
inference(subst,[],[refute_0_13:[bind(A,$fot(inverse(X_7))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_15,plain,
( multiply(inverse(X_7),X_7) != divide(inverse(X_7),inverse(X_7))
| divide(inverse(X_7),inverse(X_7)) = multiply(inverse(X_7),X_7) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_7),X_7))),bind(Y,$fot(divide(inverse(X_7),inverse(X_7))))]]) ).
cnf(refute_0_16,plain,
divide(inverse(X_7),inverse(X_7)) = multiply(inverse(X_7),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(X_7),X_7),divide(inverse(X_7),inverse(X_7))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( divide(inverse(X_7),inverse(X_7)) != multiply(inverse(X_7),X_7)
| inverse(A) != divide(divide(inverse(X_7),inverse(X_7)),A)
| inverse(A) = divide(multiply(inverse(X_7),X_7),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_7),inverse(X_7)),A)) ),[1,0],$fot(multiply(inverse(X_7),X_7))]]) ).
cnf(refute_0_18,plain,
( inverse(A) != divide(divide(inverse(X_7),inverse(X_7)),A)
| inverse(A) = divide(multiply(inverse(X_7),X_7),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_7)),multiply(inverse(X_7),X_7)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(A) = divide(multiply(inverse(X_7),X_7),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_7),inverse(X_7)),A)) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),
inference(subst,[],[refute_0_19:[bind(A,$fot(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))))]]) ).
cnf(refute_0_21,plain,
divide(divide(divide(B,B),A),C) = divide(divide(divide(B,B),A),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(B,B),A),C))]]) ).
cnf(refute_0_22,plain,
( divide(divide(B,B),A) != inverse(A)
| divide(divide(divide(B,B),A),C) != divide(divide(divide(B,B),A),C)
| divide(divide(divide(B,B),A),C) = divide(inverse(A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,B),A),C),divide(divide(divide(B,B),A),C)) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_23,plain,
( divide(divide(B,B),A) != inverse(A)
| divide(divide(divide(B,B),A),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),A),C),divide(divide(divide(B,B),A),C)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(divide(divide(B,B),A),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(divide(B,B),A),inverse(A)) )],[refute_0_5,refute_0_23]) ).
cnf(refute_0_25,plain,
divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)))]]) ).
cnf(refute_0_26,plain,
( divide(divide(divide(B,B),A),C) != divide(inverse(A),C)
| divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) != divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C))
| divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)),divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C))) ),[1,1],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_27,plain,
( divide(divide(divide(B,B),A),C) != divide(inverse(A),C)
| divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)),divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),A),C),divide(inverse(A),C)) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(divide(B,B),B) = inverse(B),
inference(subst,[],[refute_0_5:[bind(A,$fot(B))]]) ).
cnf(refute_0_30,plain,
divide(divide(divide(B,B),B),C) = divide(divide(divide(B,B),B),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(B,B),B),C))]]) ).
cnf(refute_0_31,plain,
( divide(divide(B,B),B) != inverse(B)
| divide(divide(divide(B,B),B),C) != divide(divide(divide(B,B),B),C)
| divide(divide(divide(B,B),B),C) = divide(inverse(B),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),B),C)) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_32,plain,
( divide(divide(B,B),B) != inverse(B)
| divide(divide(divide(B,B),B),C) = divide(inverse(B),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),B),C)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
divide(divide(divide(B,B),B),C) = divide(inverse(B),C),
inference(resolve,[$cnf( $equal(divide(divide(B,B),B),inverse(B)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)),
introduced(tautology,[refl,[$fot(divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))]]) ).
cnf(refute_0_35,plain,
( divide(divide(divide(B,B),B),C) != divide(inverse(B),C)
| divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) != divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))
| divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)),divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) ),[1,0],$fot(divide(inverse(B),C))]]) ).
cnf(refute_0_36,plain,
( divide(divide(divide(B,B),B),C) != divide(inverse(B),C)
| divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)),divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),B),C),divide(inverse(B),C)) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) != divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C))
| divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))),bind(Y,$fot(divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)))),bind(Z,$fot(divide(divide(inverse(B),C),divide(inverse(A),C))))]]) ).
cnf(refute_0_41,plain,
( divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)),divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) = divide(divide(inverse(B),C),divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),C),divide(divide(divide(B,B),A),C)),divide(divide(inverse(B),C),divide(inverse(A),C))) )],[refute_0_28,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))))]]) ).
cnf(refute_0_44,plain,
( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) != divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))
| divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))) ),[1,1],$fot(divide(divide(inverse(B),C),divide(inverse(A),C)))]]) ).
cnf(refute_0_45,plain,
( divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)) != divide(divide(inverse(B),C),divide(inverse(A),C))
| divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) = divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))),
inference(resolve,[$cnf( $equal(divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C)),divide(divide(inverse(B),C),divide(inverse(A),C))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) != B
| divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) != divide(A,divide(divide(inverse(B),C),divide(inverse(A),C)))
| divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),B) ),[0],$fot(divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))))]]) ).
cnf(refute_0_48,plain,
( divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))) != B
| divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),divide(A,divide(divide(inverse(B),C),divide(inverse(A),C)))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(A,divide(divide(inverse(B),C),divide(inverse(A),C))) = B,
inference(resolve,[$cnf( $equal(divide(A,divide(divide(divide(divide(B,B),B),C),divide(divide(divide(B,B),A),C))),B) )],[single_axiom,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = X_19,
inference(subst,[],[refute_0_49:[bind(A,$fot(multiply(inverse(X_7),X_7))),bind(B,$fot(X_19)),bind(C,$fot(X_20))]]) ).
cnf(refute_0_51,plain,
( divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != X_19
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))) ),[1],$fot(X_19)]]) ).
cnf(refute_0_52,plain,
( inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = X_19 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),X_19) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = X_19,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),divide(multiply(inverse(X_7),X_7),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))) )],[refute_0_20,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_55,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_13,refute_0_54]) ).
cnf(refute_0_56,plain,
divide(divide(inverse(X_19),X_20),inverse(X_20)) = multiply(divide(inverse(X_19),X_20),X_20),
inference(subst,[],[refute_0_55:[bind(A,$fot(divide(inverse(X_19),X_20))),bind(B,$fot(X_20))]]) ).
cnf(refute_0_57,plain,
inverse(A) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A),
inference(subst,[],[inverse:[bind(B,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_58,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_1))]]) ).
cnf(refute_0_59,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_60,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).
cnf(refute_0_62,plain,
( inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(A) = divide(inverse(divide(X_1,X_1)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(A) = divide(inverse(divide(inverse(X_7),inverse(X_7))),A),
inference(subst,[],[refute_0_63:[bind(X_1,$fot(inverse(X_7)))]]) ).
cnf(refute_0_65,plain,
( divide(inverse(X_7),inverse(X_7)) != multiply(inverse(X_7),X_7)
| inverse(A) != divide(inverse(divide(inverse(X_7),inverse(X_7))),A)
| inverse(A) = divide(inverse(multiply(inverse(X_7),X_7)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(inverse(divide(inverse(X_7),inverse(X_7))),A)) ),[1,0,0],$fot(multiply(inverse(X_7),X_7))]]) ).
cnf(refute_0_66,plain,
( inverse(A) != divide(inverse(divide(inverse(X_7),inverse(X_7))),A)
| inverse(A) = divide(inverse(multiply(inverse(X_7),X_7)),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_7)),multiply(inverse(X_7),X_7)) )],[refute_0_16,refute_0_65]) ).
cnf(refute_0_67,plain,
inverse(A) = divide(inverse(multiply(inverse(X_7),X_7)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(inverse(divide(inverse(X_7),inverse(X_7))),A)) )],[refute_0_64,refute_0_66]) ).
cnf(refute_0_68,plain,
( inverse(A) != divide(inverse(multiply(inverse(X_7),X_7)),A)
| divide(inverse(multiply(inverse(X_7),X_7)),A) = inverse(A) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(inverse(multiply(inverse(X_7),X_7)),A)))]]) ).
cnf(refute_0_69,plain,
divide(inverse(multiply(inverse(X_7),X_7)),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(inverse(multiply(inverse(X_7),X_7)),A)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(inverse(multiply(inverse(X_7),X_7)),X_20) = inverse(X_20),
inference(subst,[],[refute_0_69:[bind(A,$fot(X_20))]]) ).
cnf(refute_0_71,plain,
divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)),
introduced(tautology,[refl,[$fot(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))]]) ).
cnf(refute_0_72,plain,
( divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) != divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))
| divide(inverse(multiply(inverse(X_7),X_7)),X_20) != inverse(X_20)
| divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = divide(divide(inverse(X_19),X_20),inverse(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) ),[1,1],$fot(inverse(X_20))]]) ).
cnf(refute_0_73,plain,
( divide(inverse(multiply(inverse(X_7),X_7)),X_20) != inverse(X_20)
| divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = divide(divide(inverse(X_19),X_20),inverse(X_20)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)),divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = divide(divide(inverse(X_19),X_20),inverse(X_20)),
inference(resolve,[$cnf( $equal(divide(inverse(multiply(inverse(X_7),X_7)),X_20),inverse(X_20)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) != divide(divide(inverse(X_19),X_20),inverse(X_20))
| divide(divide(inverse(X_19),X_20),inverse(X_20)) != multiply(divide(inverse(X_19),X_20),X_20)
| divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = multiply(divide(inverse(X_19),X_20),X_20) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))),bind(Y,$fot(divide(divide(inverse(X_19),X_20),inverse(X_20)))),bind(Z,$fot(multiply(divide(inverse(X_19),X_20),X_20)))]]) ).
cnf(refute_0_76,plain,
( divide(divide(inverse(X_19),X_20),inverse(X_20)) != multiply(divide(inverse(X_19),X_20),X_20)
| divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = multiply(divide(inverse(X_19),X_20),X_20) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)),divide(divide(inverse(X_19),X_20),inverse(X_20))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) = multiply(divide(inverse(X_19),X_20),X_20),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_19),X_20),inverse(X_20)),multiply(divide(inverse(X_19),X_20),X_20)) )],[refute_0_56,refute_0_76]) ).
cnf(refute_0_78,plain,
inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))))]]) ).
cnf(refute_0_79,plain,
( divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) != multiply(divide(inverse(X_19),X_20),X_20)
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = inverse(multiply(divide(inverse(X_19),X_20),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))) ),[1,0],$fot(multiply(divide(inverse(X_19),X_20),X_20))]]) ).
cnf(refute_0_80,plain,
( divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)) != multiply(divide(inverse(X_19),X_20),X_20)
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = inverse(multiply(divide(inverse(X_19),X_20),X_20)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) = inverse(multiply(divide(inverse(X_19),X_20),X_20)),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20)),multiply(divide(inverse(X_19),X_20),X_20)) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != X_19
| inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != inverse(multiply(divide(inverse(X_19),X_20),X_20))
| inverse(multiply(divide(inverse(X_19),X_20),X_20)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),X_19) ),[0],$fot(inverse(multiply(divide(inverse(X_19),X_20),X_20)))]]) ).
cnf(refute_0_83,plain,
( inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))) != X_19
| inverse(multiply(divide(inverse(X_19),X_20),X_20)) = X_19 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),inverse(multiply(divide(inverse(X_19),X_20),X_20))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
inverse(multiply(divide(inverse(X_19),X_20),X_20)) = X_19,
inference(resolve,[$cnf( $equal(inverse(divide(divide(inverse(X_19),X_20),divide(inverse(multiply(inverse(X_7),X_7)),X_20))),X_19) )],[refute_0_53,refute_0_83]) ).
cnf(refute_0_85,plain,
inverse(multiply(divide(inverse(X_24),inverse(B)),inverse(B))) = X_24,
inference(subst,[],[refute_0_84:[bind(X_19,$fot(X_24)),bind(X_20,$fot(inverse(B)))]]) ).
cnf(refute_0_86,plain,
multiply(inverse(X_24),B) = divide(inverse(X_24),inverse(B)),
inference(subst,[],[refute_0_13:[bind(A,$fot(inverse(X_24)))]]) ).
cnf(refute_0_87,plain,
( multiply(inverse(X_24),B) != divide(inverse(X_24),inverse(B))
| divide(inverse(X_24),inverse(B)) = multiply(inverse(X_24),B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(X_24),B))),bind(Y,$fot(divide(inverse(X_24),inverse(B))))]]) ).
cnf(refute_0_88,plain,
divide(inverse(X_24),inverse(B)) = multiply(inverse(X_24),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_24),B),divide(inverse(X_24),inverse(B))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( divide(inverse(X_24),inverse(B)) != multiply(inverse(X_24),B)
| inverse(multiply(divide(inverse(X_24),inverse(B)),inverse(B))) != X_24
| inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(X_24),inverse(B)),inverse(B))),X_24) ),[0,0,0],$fot(multiply(inverse(X_24),B))]]) ).
cnf(refute_0_90,plain,
( inverse(multiply(divide(inverse(X_24),inverse(B)),inverse(B))) != X_24
| inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = X_24 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_24),inverse(B)),multiply(inverse(X_24),B)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = X_24,
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(X_24),inverse(B)),inverse(B))),X_24) )],[refute_0_85,refute_0_90]) ).
cnf(refute_0_92,plain,
inverse(multiply(multiply(inverse(inverse(X_18)),X_38),inverse(X_38))) = inverse(X_18),
inference(subst,[],[refute_0_91:[bind(B,$fot(X_38)),bind(X_24,$fot(inverse(X_18)))]]) ).
cnf(refute_0_93,plain,
divide(X_18,divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))) = X_19,
inference(subst,[],[refute_0_49:[bind(A,$fot(X_18)),bind(B,$fot(X_19)),bind(C,$fot(inverse(X_19)))]]) ).
cnf(refute_0_94,plain,
inverse(divide(inverse(X_18),inverse(X_19))) = divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19))),
inference(subst,[],[inverse:[bind(A,$fot(divide(inverse(X_18),inverse(X_19)))),bind(B,$fot(inverse(X_19)))]]) ).
cnf(refute_0_95,plain,
( inverse(divide(inverse(X_18),inverse(X_19))) != divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))
| divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19))) = inverse(divide(inverse(X_18),inverse(X_19))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(divide(inverse(X_18),inverse(X_19))))),bind(Y,$fot(divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))))]]) ).
cnf(refute_0_96,plain,
divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19))) = inverse(divide(inverse(X_18),inverse(X_19))),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_18),inverse(X_19))),divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( divide(X_18,divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))) != X_19
| divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19))) != inverse(divide(inverse(X_18),inverse(X_19)))
| divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_18,divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))),X_19) ),[0,1],$fot(inverse(divide(inverse(X_18),inverse(X_19))))]]) ).
cnf(refute_0_98,plain,
( divide(X_18,divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))) != X_19
| divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = X_19 ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19))),inverse(divide(inverse(X_18),inverse(X_19)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = X_19,
inference(resolve,[$cnf( $equal(divide(X_18,divide(divide(inverse(X_19),inverse(X_19)),divide(inverse(X_18),inverse(X_19)))),X_19) )],[refute_0_93,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(inverse(X_18),inverse(X_19)) = multiply(inverse(X_18),X_19),
inference(subst,[],[refute_0_55:[bind(A,$fot(inverse(X_18))),bind(B,$fot(X_19))]]) ).
cnf(refute_0_101,plain,
multiply(X_18,divide(inverse(X_18),inverse(X_19))) = multiply(X_18,divide(inverse(X_18),inverse(X_19))),
introduced(tautology,[refl,[$fot(multiply(X_18,divide(inverse(X_18),inverse(X_19))))]]) ).
cnf(refute_0_102,plain,
( multiply(X_18,divide(inverse(X_18),inverse(X_19))) != multiply(X_18,divide(inverse(X_18),inverse(X_19)))
| divide(inverse(X_18),inverse(X_19)) != multiply(inverse(X_18),X_19)
| multiply(X_18,divide(inverse(X_18),inverse(X_19))) = multiply(X_18,multiply(inverse(X_18),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_18,divide(inverse(X_18),inverse(X_19))),multiply(X_18,divide(inverse(X_18),inverse(X_19)))) ),[1,1],$fot(multiply(inverse(X_18),X_19))]]) ).
cnf(refute_0_103,plain,
( divide(inverse(X_18),inverse(X_19)) != multiply(inverse(X_18),X_19)
| multiply(X_18,divide(inverse(X_18),inverse(X_19))) = multiply(X_18,multiply(inverse(X_18),X_19)) ),
inference(resolve,[$cnf( $equal(multiply(X_18,divide(inverse(X_18),inverse(X_19))),multiply(X_18,divide(inverse(X_18),inverse(X_19)))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(X_18,divide(inverse(X_18),inverse(X_19))) = multiply(X_18,multiply(inverse(X_18),X_19)),
inference(resolve,[$cnf( $equal(divide(inverse(X_18),inverse(X_19)),multiply(inverse(X_18),X_19)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = multiply(X_18,divide(inverse(X_18),inverse(X_19))),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_18)),bind(B,$fot(divide(inverse(X_18),inverse(X_19))))]]) ).
cnf(refute_0_106,plain,
( multiply(X_18,divide(inverse(X_18),inverse(X_19))) != multiply(X_18,multiply(inverse(X_18),X_19))
| divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) != multiply(X_18,divide(inverse(X_18),inverse(X_19)))
| divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = multiply(X_18,multiply(inverse(X_18),X_19)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))))),bind(Y,$fot(multiply(X_18,divide(inverse(X_18),inverse(X_19))))),bind(Z,$fot(multiply(X_18,multiply(inverse(X_18),X_19))))]]) ).
cnf(refute_0_107,plain,
( multiply(X_18,divide(inverse(X_18),inverse(X_19))) != multiply(X_18,multiply(inverse(X_18),X_19))
| divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = multiply(X_18,multiply(inverse(X_18),X_19)) ),
inference(resolve,[$cnf( $equal(divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))),multiply(X_18,divide(inverse(X_18),inverse(X_19)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) = multiply(X_18,multiply(inverse(X_18),X_19)),
inference(resolve,[$cnf( $equal(multiply(X_18,divide(inverse(X_18),inverse(X_19))),multiply(X_18,multiply(inverse(X_18),X_19))) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) != X_19
| divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) != multiply(X_18,multiply(inverse(X_18),X_19))
| multiply(X_18,multiply(inverse(X_18),X_19)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))),X_19) ),[0],$fot(multiply(X_18,multiply(inverse(X_18),X_19)))]]) ).
cnf(refute_0_110,plain,
( divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))) != X_19
| multiply(X_18,multiply(inverse(X_18),X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))),multiply(X_18,multiply(inverse(X_18),X_19))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(X_18,multiply(inverse(X_18),X_19)) = X_19,
inference(resolve,[$cnf( $equal(divide(X_18,inverse(divide(inverse(X_18),inverse(X_19)))),X_19) )],[refute_0_99,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(X_18,multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22))) = multiply(inverse(inverse(X_18)),X_22),
inference(subst,[],[refute_0_111:[bind(X_19,$fot(multiply(inverse(inverse(X_18)),X_22)))]]) ).
cnf(refute_0_113,plain,
multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22)) = X_22,
inference(subst,[],[refute_0_111:[bind(X_18,$fot(inverse(X_18))),bind(X_19,$fot(X_22))]]) ).
cnf(refute_0_114,plain,
( multiply(X_18,multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22))) != multiply(inverse(inverse(X_18)),X_22)
| multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22)) != X_22
| multiply(X_18,X_22) = multiply(inverse(inverse(X_18)),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_18,multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22))),multiply(inverse(inverse(X_18)),X_22)) ),[0,1],$fot(X_22)]]) ).
cnf(refute_0_115,plain,
( multiply(X_18,multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22))) != multiply(inverse(inverse(X_18)),X_22)
| multiply(X_18,X_22) = multiply(inverse(inverse(X_18)),X_22) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22)),X_22) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(X_18,X_22) = multiply(inverse(inverse(X_18)),X_22),
inference(resolve,[$cnf( $equal(multiply(X_18,multiply(inverse(X_18),multiply(inverse(inverse(X_18)),X_22))),multiply(inverse(inverse(X_18)),X_22)) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(X_18,X_38) = multiply(inverse(inverse(X_18)),X_38),
inference(subst,[],[refute_0_116:[bind(X_22,$fot(X_38))]]) ).
cnf(refute_0_118,plain,
( multiply(X_18,X_38) != multiply(inverse(inverse(X_18)),X_38)
| multiply(inverse(inverse(X_18)),X_38) = multiply(X_18,X_38) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_18,X_38))),bind(Y,$fot(multiply(inverse(inverse(X_18)),X_38)))]]) ).
cnf(refute_0_119,plain,
multiply(inverse(inverse(X_18)),X_38) = multiply(X_18,X_38),
inference(resolve,[$cnf( $equal(multiply(X_18,X_38),multiply(inverse(inverse(X_18)),X_38)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( multiply(inverse(inverse(X_18)),X_38) != multiply(X_18,X_38)
| inverse(multiply(multiply(inverse(inverse(X_18)),X_38),inverse(X_38))) != inverse(X_18)
| inverse(multiply(multiply(X_18,X_38),inverse(X_38))) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(X_18)),X_38),inverse(X_38))),inverse(X_18)) ),[0,0,0],$fot(multiply(X_18,X_38))]]) ).
cnf(refute_0_121,plain,
( inverse(multiply(multiply(inverse(inverse(X_18)),X_38),inverse(X_38))) != inverse(X_18)
| inverse(multiply(multiply(X_18,X_38),inverse(X_38))) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_18)),X_38),multiply(X_18,X_38)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
inverse(multiply(multiply(X_18,X_38),inverse(X_38))) = inverse(X_18),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(inverse(X_18)),X_38),inverse(X_38))),inverse(X_18)) )],[refute_0_92,refute_0_121]) ).
cnf(refute_0_123,plain,
inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_38),inverse(X_38))) = multiply(multiply(inverse(X_24),B),inverse(B)),
inference(subst,[],[refute_0_91:[bind(B,$fot(X_38)),bind(X_24,$fot(multiply(multiply(inverse(X_24),B),inverse(B))))]]) ).
cnf(refute_0_124,plain,
( inverse(multiply(multiply(inverse(X_24),B),inverse(B))) != X_24
| inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_38),inverse(X_38))) != multiply(multiply(inverse(X_24),B),inverse(B))
| inverse(multiply(multiply(X_24,X_38),inverse(X_38))) = multiply(multiply(inverse(X_24),B),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_38),inverse(X_38))),multiply(multiply(inverse(X_24),B),inverse(B))) ),[0,0,0,0],$fot(X_24)]]) ).
cnf(refute_0_125,plain,
( inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_38),inverse(X_38))) != multiply(multiply(inverse(X_24),B),inverse(B))
| inverse(multiply(multiply(X_24,X_38),inverse(X_38))) = multiply(multiply(inverse(X_24),B),inverse(B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_24) )],[refute_0_91,refute_0_124]) ).
cnf(refute_0_126,plain,
inverse(multiply(multiply(X_24,X_38),inverse(X_38))) = multiply(multiply(inverse(X_24),B),inverse(B)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_38),inverse(X_38))),multiply(multiply(inverse(X_24),B),inverse(B))) )],[refute_0_123,refute_0_125]) ).
cnf(refute_0_127,plain,
inverse(inverse(X_7)) = divide(divide(B,B),inverse(X_7)),
inference(subst,[],[inverse:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_128,plain,
multiply(divide(B,B),X_7) = divide(divide(B,B),inverse(X_7)),
inference(subst,[],[refute_0_13:[bind(A,$fot(divide(B,B))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_129,plain,
( multiply(divide(B,B),X_7) != divide(divide(B,B),inverse(X_7))
| divide(divide(B,B),inverse(X_7)) = multiply(divide(B,B),X_7) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(divide(B,B),X_7))),bind(Y,$fot(divide(divide(B,B),inverse(X_7))))]]) ).
cnf(refute_0_130,plain,
divide(divide(B,B),inverse(X_7)) = multiply(divide(B,B),X_7),
inference(resolve,[$cnf( $equal(multiply(divide(B,B),X_7),divide(divide(B,B),inverse(X_7))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
( divide(divide(B,B),inverse(X_7)) != multiply(divide(B,B),X_7)
| inverse(inverse(X_7)) != divide(divide(B,B),inverse(X_7))
| inverse(inverse(X_7)) = multiply(divide(B,B),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_7)),divide(divide(B,B),inverse(X_7))) ),[1],$fot(multiply(divide(B,B),X_7))]]) ).
cnf(refute_0_132,plain,
( inverse(inverse(X_7)) != divide(divide(B,B),inverse(X_7))
| inverse(inverse(X_7)) = multiply(divide(B,B),X_7) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),inverse(X_7)),multiply(divide(B,B),X_7)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
inverse(inverse(X_7)) = multiply(divide(B,B),X_7),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),divide(divide(B,B),inverse(X_7))) )],[refute_0_127,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22)),
inference(subst,[],[refute_0_133:[bind(X_7,$fot(multiply(inverse(divide(B,B)),X_22)))]]) ).
cnf(refute_0_135,plain,
multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22)) = X_22,
inference(subst,[],[refute_0_111:[bind(X_18,$fot(divide(B,B))),bind(X_19,$fot(X_22))]]) ).
cnf(refute_0_136,plain,
( multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22)) != X_22
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) != multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22))
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22))) ),[1],$fot(X_22)]]) ).
cnf(refute_0_137,plain,
( inverse(inverse(multiply(inverse(divide(B,B)),X_22))) != multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22))
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = X_22 ),
inference(resolve,[$cnf( $equal(multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22)),X_22) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = X_22,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),multiply(divide(B,B),multiply(inverse(divide(B,B)),X_22))) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
inverse(inverse(X_7)) = divide(inverse(divide(X_1,X_1)),inverse(X_7)),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_140,plain,
multiply(inverse(divide(X_1,X_1)),X_7) = divide(inverse(divide(X_1,X_1)),inverse(X_7)),
inference(subst,[],[refute_0_13:[bind(A,$fot(inverse(divide(X_1,X_1)))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_141,plain,
( multiply(inverse(divide(X_1,X_1)),X_7) != divide(inverse(divide(X_1,X_1)),inverse(X_7))
| divide(inverse(divide(X_1,X_1)),inverse(X_7)) = multiply(inverse(divide(X_1,X_1)),X_7) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(divide(X_1,X_1)),X_7))),bind(Y,$fot(divide(inverse(divide(X_1,X_1)),inverse(X_7))))]]) ).
cnf(refute_0_142,plain,
divide(inverse(divide(X_1,X_1)),inverse(X_7)) = multiply(inverse(divide(X_1,X_1)),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_1,X_1)),X_7),divide(inverse(divide(X_1,X_1)),inverse(X_7))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( divide(inverse(divide(X_1,X_1)),inverse(X_7)) != multiply(inverse(divide(X_1,X_1)),X_7)
| inverse(inverse(X_7)) != divide(inverse(divide(X_1,X_1)),inverse(X_7))
| inverse(inverse(X_7)) = multiply(inverse(divide(X_1,X_1)),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_7)),divide(inverse(divide(X_1,X_1)),inverse(X_7))) ),[1],$fot(multiply(inverse(divide(X_1,X_1)),X_7))]]) ).
cnf(refute_0_144,plain,
( inverse(inverse(X_7)) != divide(inverse(divide(X_1,X_1)),inverse(X_7))
| inverse(inverse(X_7)) = multiply(inverse(divide(X_1,X_1)),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),inverse(X_7)),multiply(inverse(divide(X_1,X_1)),X_7)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(inverse(X_7)) = multiply(inverse(divide(X_1,X_1)),X_7),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),divide(inverse(divide(X_1,X_1)),inverse(X_7))) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
( inverse(inverse(X_7)) != multiply(inverse(divide(X_1,X_1)),X_7)
| multiply(inverse(divide(X_1,X_1)),X_7) = inverse(inverse(X_7)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(inverse(X_7)))),bind(Y,$fot(multiply(inverse(divide(X_1,X_1)),X_7)))]]) ).
cnf(refute_0_147,plain,
multiply(inverse(divide(X_1,X_1)),X_7) = inverse(inverse(X_7)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_7)),multiply(inverse(divide(X_1,X_1)),X_7)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(inverse(divide(B,B)),X_22) = inverse(inverse(X_22)),
inference(subst,[],[refute_0_147:[bind(X_1,$fot(B)),bind(X_7,$fot(X_22))]]) ).
cnf(refute_0_149,plain,
inverse(multiply(inverse(divide(B,B)),X_22)) = inverse(multiply(inverse(divide(B,B)),X_22)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(divide(B,B)),X_22)))]]) ).
cnf(refute_0_150,plain,
( multiply(inverse(divide(B,B)),X_22) != inverse(inverse(X_22))
| inverse(multiply(inverse(divide(B,B)),X_22)) != inverse(multiply(inverse(divide(B,B)),X_22))
| inverse(multiply(inverse(divide(B,B)),X_22)) = inverse(inverse(inverse(X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(divide(B,B)),X_22)),inverse(multiply(inverse(divide(B,B)),X_22))) ),[1,0],$fot(inverse(inverse(X_22)))]]) ).
cnf(refute_0_151,plain,
( multiply(inverse(divide(B,B)),X_22) != inverse(inverse(X_22))
| inverse(multiply(inverse(divide(B,B)),X_22)) = inverse(inverse(inverse(X_22))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(divide(B,B)),X_22)),inverse(multiply(inverse(divide(B,B)),X_22))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
inverse(multiply(inverse(divide(B,B)),X_22)) = inverse(inverse(inverse(X_22))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,B)),X_22),inverse(inverse(X_22))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = inverse(inverse(multiply(inverse(divide(B,B)),X_22))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(inverse(divide(B,B)),X_22))))]]) ).
cnf(refute_0_154,plain,
( inverse(multiply(inverse(divide(B,B)),X_22)) != inverse(inverse(inverse(X_22)))
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) != inverse(inverse(multiply(inverse(divide(B,B)),X_22)))
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = inverse(inverse(inverse(inverse(X_22)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),inverse(inverse(multiply(inverse(divide(B,B)),X_22)))) ),[1,0],$fot(inverse(inverse(inverse(X_22))))]]) ).
cnf(refute_0_155,plain,
( inverse(multiply(inverse(divide(B,B)),X_22)) != inverse(inverse(inverse(X_22)))
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = inverse(inverse(inverse(inverse(X_22)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),inverse(inverse(multiply(inverse(divide(B,B)),X_22)))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
inverse(inverse(multiply(inverse(divide(B,B)),X_22))) = inverse(inverse(inverse(inverse(X_22)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(divide(B,B)),X_22)),inverse(inverse(inverse(X_22)))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
( inverse(inverse(multiply(inverse(divide(B,B)),X_22))) != X_22
| inverse(inverse(multiply(inverse(divide(B,B)),X_22))) != inverse(inverse(inverse(inverse(X_22))))
| inverse(inverse(inverse(inverse(X_22)))) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),X_22) ),[0],$fot(inverse(inverse(inverse(inverse(X_22)))))]]) ).
cnf(refute_0_158,plain,
( inverse(inverse(multiply(inverse(divide(B,B)),X_22))) != X_22
| inverse(inverse(inverse(inverse(X_22)))) = X_22 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),inverse(inverse(inverse(inverse(X_22))))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
inverse(inverse(inverse(inverse(X_22)))) = X_22,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(divide(B,B)),X_22))),X_22) )],[refute_0_138,refute_0_158]) ).
cnf(refute_0_160,plain,
inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38)))))) = multiply(multiply(inverse(X_39),X_38),inverse(X_38)),
inference(subst,[],[refute_0_159:[bind(X_22,$fot(multiply(multiply(inverse(X_39),X_38),inverse(X_38))))]]) ).
cnf(refute_0_161,plain,
inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38))) = X_39,
inference(subst,[],[refute_0_91:[bind(B,$fot(X_38)),bind(X_24,$fot(X_39))]]) ).
cnf(refute_0_162,plain,
( inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38))) != X_39
| inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38)))))) != multiply(multiply(inverse(X_39),X_38),inverse(X_38))
| inverse(inverse(inverse(X_39))) = multiply(multiply(inverse(X_39),X_38),inverse(X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38)))))),multiply(multiply(inverse(X_39),X_38),inverse(X_38))) ),[0,0,0,0],$fot(X_39)]]) ).
cnf(refute_0_163,plain,
( inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38)))))) != multiply(multiply(inverse(X_39),X_38),inverse(X_38))
| inverse(inverse(inverse(X_39))) = multiply(multiply(inverse(X_39),X_38),inverse(X_38)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38))),X_39) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(inverse(inverse(X_39))) = multiply(multiply(inverse(X_39),X_38),inverse(X_38)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X_39),X_38),inverse(X_38)))))),multiply(multiply(inverse(X_39),X_38),inverse(X_38))) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
( inverse(inverse(inverse(X_39))) != multiply(multiply(inverse(X_39),X_38),inverse(X_38))
| multiply(multiply(inverse(X_39),X_38),inverse(X_38)) = inverse(inverse(inverse(X_39))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(inverse(inverse(X_39))))),bind(Y,$fot(multiply(multiply(inverse(X_39),X_38),inverse(X_38))))]]) ).
cnf(refute_0_166,plain,
multiply(multiply(inverse(X_39),X_38),inverse(X_38)) = inverse(inverse(inverse(X_39))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_39))),multiply(multiply(inverse(X_39),X_38),inverse(X_38))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(multiply(inverse(X_24),B),inverse(B)) = inverse(inverse(inverse(X_24))),
inference(subst,[],[refute_0_166:[bind(X_38,$fot(B)),bind(X_39,$fot(X_24))]]) ).
cnf(refute_0_168,plain,
( multiply(multiply(inverse(X_24),B),inverse(B)) != inverse(inverse(inverse(X_24)))
| inverse(multiply(multiply(X_24,X_38),inverse(X_38))) != multiply(multiply(inverse(X_24),B),inverse(B))
| inverse(multiply(multiply(X_24,X_38),inverse(X_38))) = inverse(inverse(inverse(X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_24,X_38),inverse(X_38))),multiply(multiply(inverse(X_24),B),inverse(B))) ),[1],$fot(inverse(inverse(inverse(X_24))))]]) ).
cnf(refute_0_169,plain,
( inverse(multiply(multiply(X_24,X_38),inverse(X_38))) != multiply(multiply(inverse(X_24),B),inverse(B))
| inverse(multiply(multiply(X_24,X_38),inverse(X_38))) = inverse(inverse(inverse(X_24))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_24),B),inverse(B)),inverse(inverse(inverse(X_24)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
inverse(multiply(multiply(X_24,X_38),inverse(X_38))) = inverse(inverse(inverse(X_24))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_24,X_38),inverse(X_38))),multiply(multiply(inverse(X_24),B),inverse(B))) )],[refute_0_126,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(multiply(multiply(X_18,X_38),inverse(X_38))) = inverse(inverse(inverse(X_18))),
inference(subst,[],[refute_0_170:[bind(X_24,$fot(X_18))]]) ).
cnf(refute_0_172,plain,
( inverse(multiply(multiply(X_18,X_38),inverse(X_38))) != inverse(X_18)
| inverse(multiply(multiply(X_18,X_38),inverse(X_38))) != inverse(inverse(inverse(X_18)))
| inverse(inverse(inverse(X_18))) = inverse(X_18) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_18,X_38),inverse(X_38))),inverse(X_18)) ),[0],$fot(inverse(inverse(inverse(X_18))))]]) ).
cnf(refute_0_173,plain,
( inverse(multiply(multiply(X_18,X_38),inverse(X_38))) != inverse(X_18)
| inverse(inverse(inverse(X_18))) = inverse(X_18) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_18,X_38),inverse(X_38))),inverse(inverse(inverse(X_18)))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(inverse(inverse(X_18))) = inverse(X_18),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_18,X_38),inverse(X_38))),inverse(X_18)) )],[refute_0_122,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(inverse(inverse(X_24)))) = inverse(inverse(X_24)),
inference(subst,[],[refute_0_174:[bind(X_18,$fot(inverse(X_24)))]]) ).
cnf(refute_0_176,plain,
inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = inverse(inverse(inverse(inverse(X_24)))),
inference(subst,[],[refute_0_170:[bind(X_24,$fot(inverse(X_24))),bind(X_38,$fot(B))]]) ).
cnf(refute_0_177,plain,
( inverse(multiply(multiply(inverse(X_24),B),inverse(B))) != inverse(inverse(inverse(inverse(X_24))))
| inverse(inverse(inverse(inverse(X_24)))) != inverse(inverse(X_24))
| inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = inverse(inverse(X_24)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(multiply(multiply(inverse(X_24),B),inverse(B))))),bind(Y,$fot(inverse(inverse(inverse(inverse(X_24)))))),bind(Z,$fot(inverse(inverse(X_24))))]]) ).
cnf(refute_0_178,plain,
( inverse(inverse(inverse(inverse(X_24)))) != inverse(inverse(X_24))
| inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = inverse(inverse(X_24)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),inverse(inverse(inverse(inverse(X_24))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(multiply(multiply(inverse(X_24),B),inverse(B))) = inverse(inverse(X_24)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_24)))),inverse(inverse(X_24))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
( inverse(multiply(multiply(inverse(X_24),B),inverse(B))) != X_24
| inverse(multiply(multiply(inverse(X_24),B),inverse(B))) != inverse(inverse(X_24))
| inverse(inverse(X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_24) ),[0],$fot(inverse(inverse(X_24)))]]) ).
cnf(refute_0_181,plain,
( inverse(multiply(multiply(inverse(X_24),B),inverse(B))) != X_24
| inverse(inverse(X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),inverse(inverse(X_24))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
inverse(inverse(X_24)) = X_24,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_24),B),inverse(B))),X_24) )],[refute_0_91,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(inverse(multiply(inverse(X_41),X_41))) = multiply(inverse(X_41),X_41),
inference(subst,[],[refute_0_182:[bind(X_24,$fot(multiply(inverse(X_41),X_41)))]]) ).
cnf(refute_0_184,plain,
inverse(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_25),X_25)) = inverse(divide(X_3,X_3)),
inference(subst,[],[refute_0_84:[bind(X_19,$fot(inverse(divide(X_3,X_3)))),bind(X_20,$fot(X_25))]]) ).
cnf(refute_0_185,plain,
inverse(A) = divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_186,plain,
inverse(inverse(divide(X_3,X_3))) = divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_63:[bind(A,$fot(inverse(divide(X_3,X_3)))),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_187,plain,
( inverse(inverse(divide(X_3,X_3))) != divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))
| divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(inverse(divide(X_3,X_3))))),bind(Y,$fot(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_188,plain,
divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_3,X_3))),divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(A) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)
| inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)) ),[1,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_190,plain,
( inverse(A) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)
| inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)) )],[refute_0_185,refute_0_190]) ).
cnf(refute_0_192,plain,
inverse(X_25) = divide(inverse(inverse(divide(X_3,X_3))),X_25),
inference(subst,[],[refute_0_191:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_193,plain,
( inverse(X_25) != divide(inverse(inverse(divide(X_3,X_3))),X_25)
| divide(inverse(inverse(divide(X_3,X_3))),X_25) = inverse(X_25) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(inverse(X_25))),bind(Y,$fot(divide(inverse(inverse(divide(X_3,X_3))),X_25)))]]) ).
cnf(refute_0_194,plain,
divide(inverse(inverse(divide(X_3,X_3))),X_25) = inverse(X_25),
inference(resolve,[$cnf( $equal(inverse(X_25),divide(inverse(inverse(divide(X_3,X_3))),X_25)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( divide(inverse(inverse(divide(X_3,X_3))),X_25) != inverse(X_25)
| inverse(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_25),X_25)) != inverse(divide(X_3,X_3))
| inverse(multiply(inverse(X_25),X_25)) = inverse(divide(X_3,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_25),X_25)),inverse(divide(X_3,X_3))) ),[0,0,0],$fot(inverse(X_25))]]) ).
cnf(refute_0_196,plain,
( inverse(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_25),X_25)) != inverse(divide(X_3,X_3))
| inverse(multiply(inverse(X_25),X_25)) = inverse(divide(X_3,X_3)) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_3,X_3))),X_25),inverse(X_25)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
inverse(multiply(inverse(X_25),X_25)) = inverse(divide(X_3,X_3)),
inference(resolve,[$cnf( $equal(inverse(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_25),X_25)),inverse(divide(X_3,X_3))) )],[refute_0_184,refute_0_196]) ).
cnf(refute_0_198,plain,
inverse(multiply(inverse(X_41),X_41)) = inverse(divide(X_42,X_42)),
inference(subst,[],[refute_0_197:[bind(X_25,$fot(X_41)),bind(X_3,$fot(X_42))]]) ).
cnf(refute_0_199,plain,
( inverse(multiply(inverse(X_41),X_41)) != inverse(divide(X_42,X_42))
| inverse(inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_41),X_41)
| inverse(inverse(divide(X_42,X_42))) = multiply(inverse(X_41),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_41),X_41)) ),[0,0],$fot(inverse(divide(X_42,X_42)))]]) ).
cnf(refute_0_200,plain,
( inverse(inverse(multiply(inverse(X_41),X_41))) != multiply(inverse(X_41),X_41)
| inverse(inverse(divide(X_42,X_42))) = multiply(inverse(X_41),X_41) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_41),X_41)),inverse(divide(X_42,X_42))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
inverse(inverse(divide(X_42,X_42))) = multiply(inverse(X_41),X_41),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_41),X_41))),multiply(inverse(X_41),X_41)) )],[refute_0_183,refute_0_200]) ).
cnf(refute_0_202,plain,
inverse(inverse(divide(X_42,X_42))) = divide(X_42,X_42),
inference(subst,[],[refute_0_182:[bind(X_24,$fot(divide(X_42,X_42)))]]) ).
cnf(refute_0_203,plain,
( inverse(inverse(divide(X_42,X_42))) != multiply(inverse(X_41),X_41)
| inverse(inverse(divide(X_42,X_42))) != divide(X_42,X_42)
| divide(X_42,X_42) = multiply(inverse(X_41),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(divide(X_42,X_42))),multiply(inverse(X_41),X_41)) ),[0],$fot(divide(X_42,X_42))]]) ).
cnf(refute_0_204,plain,
( inverse(inverse(divide(X_42,X_42))) != multiply(inverse(X_41),X_41)
| divide(X_42,X_42) = multiply(inverse(X_41),X_41) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_42,X_42))),divide(X_42,X_42)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
divide(X_42,X_42) = multiply(inverse(X_41),X_41),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_42,X_42))),multiply(inverse(X_41),X_41)) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(X_44,X_44) = multiply(inverse(a1),a1),
inference(subst,[],[refute_0_205:[bind(X_41,$fot(a1)),bind(X_42,$fot(X_44))]]) ).
cnf(refute_0_207,plain,
( divide(X_44,X_44) != multiply(inverse(a1),a1)
| multiply(inverse(a1),a1) = divide(X_44,X_44) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(divide(X_44,X_44))),bind(Y,$fot(multiply(inverse(a1),a1)))]]) ).
cnf(refute_0_208,plain,
multiply(inverse(a1),a1) = divide(X_44,X_44),
inference(resolve,[$cnf( $equal(divide(X_44,X_44),multiply(inverse(a1),a1)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(inverse(a1),a1) != divide(X_44,X_44)
| divide(X_44,X_44) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(divide(X_44,X_44))]]) ).
cnf(refute_0_210,plain,
( divide(X_44,X_44) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),divide(X_44,X_44)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
divide(X_44,X_44) != multiply(inverse(b1),b1),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_210,prove_these_axioms_1]) ).
cnf(refute_0_212,plain,
divide(X_44,X_44) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_205:[bind(X_41,$fot(b1)),bind(X_42,$fot(X_44))]]) ).
cnf(refute_0_213,plain,
$false,
inference(resolve,[$cnf( $equal(divide(X_44,X_44),multiply(inverse(b1),b1)) )],[refute_0_212,refute_0_211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP448-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.32 % Computer : n027.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jun 13 10:41:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43
% 0.17/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.47
%------------------------------------------------------------------------------