TSTP Solution File: GRP528-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 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 10:42:09 EDT 2022
% Result : Unsatisfiable 0.18s 0.44s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 43
% Syntax : Number of clauses : 154 ( 84 unt; 0 nHn; 70 RR)
% Number of literals : 256 ( 255 equ; 104 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 338 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,divide(divide(A,B),divide(C,B))) = C ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
divide(X_9,divide(divide(X_9,X_9),divide(X_10,X_9))) = X_10,
inference(subst,[],[single_axiom:[bind(A,$fot(X_9)),bind(B,$fot(X_9)),bind(C,$fot(X_10))]]) ).
cnf(refute_0_1,plain,
inverse(divide(X_10,X_9)) = divide(divide(X_9,X_9),divide(X_10,X_9)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_10,X_9))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( inverse(divide(X_10,X_9)) != divide(divide(X_9,X_9),divide(X_10,X_9))
| divide(divide(X_9,X_9),divide(X_10,X_9)) = inverse(divide(X_10,X_9)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_10,X_9)))),bind(Y,$fot(divide(divide(X_9,X_9),divide(X_10,X_9))))]]) ).
cnf(refute_0_6,plain,
divide(divide(X_9,X_9),divide(X_10,X_9)) = inverse(divide(X_10,X_9)),
inference(resolve,[$cnf( $equal(inverse(divide(X_10,X_9)),divide(divide(X_9,X_9),divide(X_10,X_9))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
( divide(X_9,divide(divide(X_9,X_9),divide(X_10,X_9))) != X_10
| divide(divide(X_9,X_9),divide(X_10,X_9)) != inverse(divide(X_10,X_9))
| divide(X_9,inverse(divide(X_10,X_9))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_9,divide(divide(X_9,X_9),divide(X_10,X_9))),X_10) ),[0,1],$fot(inverse(divide(X_10,X_9)))]]) ).
cnf(refute_0_8,plain,
( divide(X_9,divide(divide(X_9,X_9),divide(X_10,X_9))) != X_10
| divide(X_9,inverse(divide(X_10,X_9))) = X_10 ),
inference(resolve,[$cnf( $equal(divide(divide(X_9,X_9),divide(X_10,X_9)),inverse(divide(X_10,X_9))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(X_9,inverse(divide(X_10,X_9))) = X_10,
inference(resolve,[$cnf( $equal(divide(X_9,divide(divide(X_9,X_9),divide(X_10,X_9))),X_10) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_11,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_11:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_13,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_14,plain,
( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
| divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_15,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_18,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_21,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(X_9,inverse(divide(X_10,X_9))) = multiply(X_9,divide(X_10,X_9)),
inference(subst,[],[refute_0_21:[bind(A,$fot(X_9)),bind(B,$fot(divide(X_10,X_9)))]]) ).
cnf(refute_0_23,plain,
( divide(X_9,inverse(divide(X_10,X_9))) != X_10
| divide(X_9,inverse(divide(X_10,X_9))) != multiply(X_9,divide(X_10,X_9))
| multiply(X_9,divide(X_10,X_9)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_9,inverse(divide(X_10,X_9))),X_10) ),[0],$fot(multiply(X_9,divide(X_10,X_9)))]]) ).
cnf(refute_0_24,plain,
( divide(X_9,inverse(divide(X_10,X_9))) != X_10
| multiply(X_9,divide(X_10,X_9)) = X_10 ),
inference(resolve,[$cnf( $equal(divide(X_9,inverse(divide(X_10,X_9))),multiply(X_9,divide(X_10,X_9))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(X_9,divide(X_10,X_9)) = X_10,
inference(resolve,[$cnf( $equal(divide(X_9,inverse(divide(X_10,X_9))),X_10) )],[refute_0_9,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(X_9,divide(multiply(X_45,X_9),X_9)) = multiply(X_45,X_9),
inference(subst,[],[refute_0_25:[bind(X_10,$fot(multiply(X_45,X_9)))]]) ).
cnf(refute_0_27,plain,
multiply(divide(X_10,X_41),divide(X_10,divide(X_10,X_41))) = X_10,
inference(subst,[],[refute_0_25:[bind(X_9,$fot(divide(X_10,X_41)))]]) ).
cnf(refute_0_28,plain,
divide(A,divide(divide(A,B),divide(B,B))) = B,
inference(subst,[],[single_axiom:[bind(C,$fot(B))]]) ).
cnf(refute_0_29,plain,
divide(A,divide(divide(A,B),divide(multiply(inverse(X_20),X_20),B))) = multiply(inverse(X_20),X_20),
inference(subst,[],[single_axiom:[bind(C,$fot(multiply(inverse(X_20),X_20)))]]) ).
cnf(refute_0_30,plain,
inverse(A) = divide(divide(inverse(X_14),inverse(X_14)),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(X_14)))]]) ).
cnf(refute_0_31,plain,
multiply(inverse(X_14),X_14) = divide(inverse(X_14),inverse(X_14)),
inference(subst,[],[refute_0_19:[bind(A,$fot(inverse(X_14))),bind(B,$fot(X_14))]]) ).
cnf(refute_0_32,plain,
( multiply(inverse(X_14),X_14) != divide(inverse(X_14),inverse(X_14))
| divide(inverse(X_14),inverse(X_14)) = multiply(inverse(X_14),X_14) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(inverse(X_14),X_14))),bind(Y,$fot(divide(inverse(X_14),inverse(X_14))))]]) ).
cnf(refute_0_33,plain,
divide(inverse(X_14),inverse(X_14)) = multiply(inverse(X_14),X_14),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),X_14),divide(inverse(X_14),inverse(X_14))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( divide(inverse(X_14),inverse(X_14)) != multiply(inverse(X_14),X_14)
| inverse(A) != divide(divide(inverse(X_14),inverse(X_14)),A)
| inverse(A) = divide(multiply(inverse(X_14),X_14),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_14),inverse(X_14)),A)) ),[1,0],$fot(multiply(inverse(X_14),X_14))]]) ).
cnf(refute_0_35,plain,
( inverse(A) != divide(divide(inverse(X_14),inverse(X_14)),A)
| inverse(A) = divide(multiply(inverse(X_14),X_14),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(X_14),inverse(X_14)),multiply(inverse(X_14),X_14)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
inverse(A) = divide(multiply(inverse(X_14),X_14),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_14),inverse(X_14)),A)) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
inverse(B) = divide(multiply(inverse(X_20),X_20),B),
inference(subst,[],[refute_0_36:[bind(A,$fot(B)),bind(X_14,$fot(X_20))]]) ).
cnf(refute_0_38,plain,
( inverse(B) != divide(multiply(inverse(X_20),X_20),B)
| divide(multiply(inverse(X_20),X_20),B) = inverse(B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(B))),bind(Y,$fot(divide(multiply(inverse(X_20),X_20),B)))]]) ).
cnf(refute_0_39,plain,
divide(multiply(inverse(X_20),X_20),B) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(B),divide(multiply(inverse(X_20),X_20),B)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(A,divide(divide(A,B),divide(multiply(inverse(X_20),X_20),B))) != multiply(inverse(X_20),X_20)
| divide(multiply(inverse(X_20),X_20),B) != inverse(B)
| divide(A,divide(divide(A,B),inverse(B))) = multiply(inverse(X_20),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,B),divide(multiply(inverse(X_20),X_20),B))),multiply(inverse(X_20),X_20)) ),[0,1,1],$fot(inverse(B))]]) ).
cnf(refute_0_41,plain,
( divide(A,divide(divide(A,B),divide(multiply(inverse(X_20),X_20),B))) != multiply(inverse(X_20),X_20)
| divide(A,divide(divide(A,B),inverse(B))) = multiply(inverse(X_20),X_20) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_20),X_20),B),inverse(B)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
divide(A,divide(divide(A,B),inverse(B))) = multiply(inverse(X_20),X_20),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),divide(multiply(inverse(X_20),X_20),B))),multiply(inverse(X_20),X_20)) )],[refute_0_29,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(X_8,divide(divide(X_8,X_9),divide(divide(B,B),X_9))) = divide(B,B),
inference(subst,[],[single_axiom:[bind(A,$fot(X_8)),bind(B,$fot(X_9)),bind(C,$fot(divide(B,B)))]]) ).
cnf(refute_0_44,plain,
inverse(X_9) = divide(divide(B,B),X_9),
inference(subst,[],[inverse:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_45,plain,
( inverse(X_9) != divide(divide(B,B),X_9)
| divide(divide(B,B),X_9) = inverse(X_9) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_9))),bind(Y,$fot(divide(divide(B,B),X_9)))]]) ).
cnf(refute_0_46,plain,
divide(divide(B,B),X_9) = inverse(X_9),
inference(resolve,[$cnf( $equal(inverse(X_9),divide(divide(B,B),X_9)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( divide(X_8,divide(divide(X_8,X_9),divide(divide(B,B),X_9))) != divide(B,B)
| divide(divide(B,B),X_9) != inverse(X_9)
| divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),divide(divide(B,B),X_9))),divide(B,B)) ),[0,1,1],$fot(inverse(X_9))]]) ).
cnf(refute_0_48,plain,
( divide(X_8,divide(divide(X_8,X_9),divide(divide(B,B),X_9))) != divide(B,B)
| divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(B,B) ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),X_9),inverse(X_9)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(B,B),
inference(resolve,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),divide(divide(B,B),X_9))),divide(B,B)) )],[refute_0_43,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(divide(X_8,X_9),inverse(X_9)) = multiply(divide(X_8,X_9),X_9),
inference(subst,[],[refute_0_21:[bind(A,$fot(divide(X_8,X_9))),bind(B,$fot(X_9))]]) ).
cnf(refute_0_51,plain,
divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(X_8,divide(divide(X_8,X_9),inverse(X_9))),
introduced(tautology,[refl,[$fot(divide(X_8,divide(divide(X_8,X_9),inverse(X_9))))]]) ).
cnf(refute_0_52,plain,
( divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) != divide(X_8,divide(divide(X_8,X_9),inverse(X_9)))
| divide(divide(X_8,X_9),inverse(X_9)) != multiply(divide(X_8,X_9),X_9)
| divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(X_8,multiply(divide(X_8,X_9),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),inverse(X_9))),divide(X_8,divide(divide(X_8,X_9),inverse(X_9)))) ),[1,1],$fot(multiply(divide(X_8,X_9),X_9))]]) ).
cnf(refute_0_53,plain,
( divide(divide(X_8,X_9),inverse(X_9)) != multiply(divide(X_8,X_9),X_9)
| divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(X_8,multiply(divide(X_8,X_9),X_9)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),inverse(X_9))),divide(X_8,divide(divide(X_8,X_9),inverse(X_9)))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) = divide(X_8,multiply(divide(X_8,X_9),X_9)),
inference(resolve,[$cnf( $equal(divide(divide(X_8,X_9),inverse(X_9)),multiply(divide(X_8,X_9),X_9)) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
( divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) != divide(B,B)
| divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) != divide(X_8,multiply(divide(X_8,X_9),X_9))
| divide(X_8,multiply(divide(X_8,X_9),X_9)) = divide(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),inverse(X_9))),divide(B,B)) ),[0],$fot(divide(X_8,multiply(divide(X_8,X_9),X_9)))]]) ).
cnf(refute_0_56,plain,
( divide(X_8,divide(divide(X_8,X_9),inverse(X_9))) != divide(B,B)
| divide(X_8,multiply(divide(X_8,X_9),X_9)) = divide(B,B) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),inverse(X_9))),divide(X_8,multiply(divide(X_8,X_9),X_9))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(X_8,multiply(divide(X_8,X_9),X_9)) = divide(B,B),
inference(resolve,[$cnf( $equal(divide(X_8,divide(divide(X_8,X_9),inverse(X_9))),divide(B,B)) )],[refute_0_49,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(A,multiply(divide(A,B),B)) = divide(B,B),
inference(subst,[],[refute_0_57:[bind(X_8,$fot(A)),bind(X_9,$fot(B))]]) ).
cnf(refute_0_59,plain,
divide(divide(A,B),inverse(B)) = multiply(divide(A,B),B),
inference(subst,[],[refute_0_21:[bind(A,$fot(divide(A,B)))]]) ).
cnf(refute_0_60,plain,
divide(A,divide(divide(A,B),inverse(B))) = divide(A,divide(divide(A,B),inverse(B))),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(A,B),inverse(B))))]]) ).
cnf(refute_0_61,plain,
( divide(A,divide(divide(A,B),inverse(B))) != divide(A,divide(divide(A,B),inverse(B)))
| divide(divide(A,B),inverse(B)) != multiply(divide(A,B),B)
| divide(A,divide(divide(A,B),inverse(B))) = divide(A,multiply(divide(A,B),B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,B),inverse(B))),divide(A,divide(divide(A,B),inverse(B)))) ),[1,1],$fot(multiply(divide(A,B),B))]]) ).
cnf(refute_0_62,plain,
( divide(divide(A,B),inverse(B)) != multiply(divide(A,B),B)
| divide(A,divide(divide(A,B),inverse(B))) = divide(A,multiply(divide(A,B),B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),inverse(B))),divide(A,divide(divide(A,B),inverse(B)))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(A,divide(divide(A,B),inverse(B))) = divide(A,multiply(divide(A,B),B)),
inference(resolve,[$cnf( $equal(divide(divide(A,B),inverse(B)),multiply(divide(A,B),B)) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_65,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_64]) ).
cnf(refute_0_66,plain,
( divide(A,multiply(divide(A,B),B)) != divide(B,B)
| divide(A,divide(divide(A,B),inverse(B))) != divide(A,multiply(divide(A,B),B))
| divide(A,divide(divide(A,B),inverse(B))) = divide(B,B) ),
inference(subst,[],[refute_0_65:[bind(X,$fot(divide(A,divide(divide(A,B),inverse(B))))),bind(Y,$fot(divide(A,multiply(divide(A,B),B)))),bind(Z,$fot(divide(B,B)))]]) ).
cnf(refute_0_67,plain,
( divide(A,multiply(divide(A,B),B)) != divide(B,B)
| divide(A,divide(divide(A,B),inverse(B))) = divide(B,B) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),inverse(B))),divide(A,multiply(divide(A,B),B))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(A,divide(divide(A,B),inverse(B))) = divide(B,B),
inference(resolve,[$cnf( $equal(divide(A,multiply(divide(A,B),B)),divide(B,B)) )],[refute_0_58,refute_0_67]) ).
cnf(refute_0_69,plain,
( divide(A,divide(divide(A,B),inverse(B))) != multiply(inverse(X_20),X_20)
| divide(A,divide(divide(A,B),inverse(B))) != divide(B,B)
| divide(B,B) = multiply(inverse(X_20),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,B),inverse(B))),multiply(inverse(X_20),X_20)) ),[0],$fot(divide(B,B))]]) ).
cnf(refute_0_70,plain,
( divide(A,divide(divide(A,B),inverse(B))) != multiply(inverse(X_20),X_20)
| divide(B,B) = multiply(inverse(X_20),X_20) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),inverse(B))),divide(B,B)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(B,B) = multiply(inverse(X_20),X_20),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),inverse(B))),multiply(inverse(X_20),X_20)) )],[refute_0_42,refute_0_70]) ).
cnf(refute_0_72,plain,
divide(B,B) = multiply(inverse(X_26),X_26),
inference(subst,[],[refute_0_71:[bind(X_20,$fot(X_26))]]) ).
cnf(refute_0_73,plain,
( divide(A,divide(divide(A,B),divide(B,B))) != B
| divide(B,B) != multiply(inverse(X_26),X_26)
| divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,B),divide(B,B))),B) ),[0,1,1],$fot(multiply(inverse(X_26),X_26))]]) ).
cnf(refute_0_74,plain,
( divide(A,divide(divide(A,B),divide(B,B))) != B
| divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = B ),
inference(resolve,[$cnf( $equal(divide(B,B),multiply(inverse(X_26),X_26)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = B,
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),divide(B,B))),B) )],[refute_0_28,refute_0_74]) ).
cnf(refute_0_76,plain,
divide(C,divide(divide(C,B),divide(C,B))) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(C))]]) ).
cnf(refute_0_77,plain,
divide(divide(C,B),divide(C,B)) = multiply(inverse(X_26),X_26),
inference(subst,[],[refute_0_71:[bind(B,$fot(divide(C,B))),bind(X_20,$fot(X_26))]]) ).
cnf(refute_0_78,plain,
( divide(C,divide(divide(C,B),divide(C,B))) != C
| divide(divide(C,B),divide(C,B)) != multiply(inverse(X_26),X_26)
| divide(C,multiply(inverse(X_26),X_26)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(C,divide(divide(C,B),divide(C,B))),C) ),[0,1],$fot(multiply(inverse(X_26),X_26))]]) ).
cnf(refute_0_79,plain,
( divide(C,divide(divide(C,B),divide(C,B))) != C
| divide(C,multiply(inverse(X_26),X_26)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(C,B),divide(C,B)),multiply(inverse(X_26),X_26)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(C,multiply(inverse(X_26),X_26)) = C,
inference(resolve,[$cnf( $equal(divide(C,divide(divide(C,B),divide(C,B))),C) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(divide(A,B),multiply(inverse(X_26),X_26)) = divide(A,B),
inference(subst,[],[refute_0_80:[bind(C,$fot(divide(A,B)))]]) ).
cnf(refute_0_82,plain,
divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))))]]) ).
cnf(refute_0_83,plain,
( divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) != divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26)))
| divide(divide(A,B),multiply(inverse(X_26),X_26)) != divide(A,B)
| divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = divide(A,divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))),divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26)))) ),[1,1],$fot(divide(A,B))]]) ).
cnf(refute_0_84,plain,
( divide(divide(A,B),multiply(inverse(X_26),X_26)) != divide(A,B)
| divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = divide(A,divide(A,B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))),divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) = divide(A,divide(A,B)),
inference(resolve,[$cnf( $equal(divide(divide(A,B),multiply(inverse(X_26),X_26)),divide(A,B)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
( divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) != B
| divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) != divide(A,divide(A,B))
| divide(A,divide(A,B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))),B) ),[0],$fot(divide(A,divide(A,B)))]]) ).
cnf(refute_0_87,plain,
( divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))) != B
| divide(A,divide(A,B)) = B ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))),divide(A,divide(A,B))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(A,divide(A,B)) = B,
inference(resolve,[$cnf( $equal(divide(A,divide(divide(A,B),multiply(inverse(X_26),X_26))),B) )],[refute_0_75,refute_0_87]) ).
cnf(refute_0_89,plain,
divide(X_10,divide(X_10,X_41)) = X_41,
inference(subst,[],[refute_0_88:[bind(A,$fot(X_10)),bind(B,$fot(X_41))]]) ).
cnf(refute_0_90,plain,
( multiply(divide(X_10,X_41),divide(X_10,divide(X_10,X_41))) != X_10
| divide(X_10,divide(X_10,X_41)) != X_41
| multiply(divide(X_10,X_41),X_41) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_10,X_41),divide(X_10,divide(X_10,X_41))),X_10) ),[0,1],$fot(X_41)]]) ).
cnf(refute_0_91,plain,
( multiply(divide(X_10,X_41),divide(X_10,divide(X_10,X_41))) != X_10
| multiply(divide(X_10,X_41),X_41) = X_10 ),
inference(resolve,[$cnf( $equal(divide(X_10,divide(X_10,X_41)),X_41) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(divide(X_10,X_41),X_41) = X_10,
inference(resolve,[$cnf( $equal(multiply(divide(X_10,X_41),divide(X_10,divide(X_10,X_41))),X_10) )],[refute_0_27,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(divide(X_42,inverse(B)),inverse(B)) = X_42,
inference(subst,[],[refute_0_92:[bind(X_10,$fot(X_42)),bind(X_41,$fot(inverse(B)))]]) ).
cnf(refute_0_94,plain,
multiply(X_42,B) = divide(X_42,inverse(B)),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_42))]]) ).
cnf(refute_0_95,plain,
( multiply(X_42,B) != divide(X_42,inverse(B))
| divide(X_42,inverse(B)) = multiply(X_42,B) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_42,B))),bind(Y,$fot(divide(X_42,inverse(B))))]]) ).
cnf(refute_0_96,plain,
divide(X_42,inverse(B)) = multiply(X_42,B),
inference(resolve,[$cnf( $equal(multiply(X_42,B),divide(X_42,inverse(B))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( multiply(divide(X_42,inverse(B)),inverse(B)) != X_42
| divide(X_42,inverse(B)) != multiply(X_42,B)
| multiply(multiply(X_42,B),inverse(B)) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_42,inverse(B)),inverse(B)),X_42) ),[0,0],$fot(multiply(X_42,B))]]) ).
cnf(refute_0_98,plain,
( multiply(divide(X_42,inverse(B)),inverse(B)) != X_42
| multiply(multiply(X_42,B),inverse(B)) = X_42 ),
inference(resolve,[$cnf( $equal(divide(X_42,inverse(B)),multiply(X_42,B)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(multiply(X_42,B),inverse(B)) = X_42,
inference(resolve,[$cnf( $equal(multiply(divide(X_42,inverse(B)),inverse(B)),X_42) )],[refute_0_93,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(A,inverse(X_27)) = divide(A,inverse(inverse(X_27))),
inference(subst,[],[refute_0_19:[bind(B,$fot(inverse(X_27)))]]) ).
cnf(refute_0_101,plain,
inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9))),
inference(subst,[],[inverse:[bind(A,$fot(divide(divide(divide(B,B),X_9),divide(X_10,X_9))))]]) ).
cnf(refute_0_102,plain,
divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = X_10,
inference(subst,[],[single_axiom:[bind(A,$fot(divide(B,B))),bind(B,$fot(X_9)),bind(C,$fot(X_10))]]) ).
cnf(refute_0_103,plain,
( divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != X_10
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9)))
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9)))) ),[1],$fot(X_10)]]) ).
cnf(refute_0_104,plain,
( inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9)))
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = X_10 ),
inference(resolve,[$cnf( $equal(divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9))),X_10) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = X_10,
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),divide(divide(B,B),divide(divide(divide(B,B),X_9),divide(X_10,X_9)))) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
divide(divide(divide(B,B),X_9),divide(X_10,X_9)) = divide(divide(divide(B,B),X_9),divide(X_10,X_9)),
introduced(tautology,[refl,[$fot(divide(divide(divide(B,B),X_9),divide(X_10,X_9)))]]) ).
cnf(refute_0_107,plain,
( divide(divide(B,B),X_9) != inverse(X_9)
| divide(divide(divide(B,B),X_9),divide(X_10,X_9)) != divide(divide(divide(B,B),X_9),divide(X_10,X_9))
| divide(divide(divide(B,B),X_9),divide(X_10,X_9)) = divide(inverse(X_9),divide(X_10,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(B,B),X_9),divide(X_10,X_9)),divide(divide(divide(B,B),X_9),divide(X_10,X_9))) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_108,plain,
( divide(divide(B,B),X_9) != inverse(X_9)
| divide(divide(divide(B,B),X_9),divide(X_10,X_9)) = divide(inverse(X_9),divide(X_10,X_9)) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),X_9),divide(X_10,X_9)),divide(divide(divide(B,B),X_9),divide(X_10,X_9))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
divide(divide(divide(B,B),X_9),divide(X_10,X_9)) = divide(inverse(X_9),divide(X_10,X_9)),
inference(resolve,[$cnf( $equal(divide(divide(B,B),X_9),inverse(X_9)) )],[refute_0_46,refute_0_108]) ).
cnf(refute_0_110,plain,
inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))))]]) ).
cnf(refute_0_111,plain,
( divide(divide(divide(B,B),X_9),divide(X_10,X_9)) != divide(inverse(X_9),divide(X_10,X_9))
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9)))
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = inverse(divide(inverse(X_9),divide(X_10,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9)))) ),[1,0],$fot(divide(inverse(X_9),divide(X_10,X_9)))]]) ).
cnf(refute_0_112,plain,
( divide(divide(divide(B,B),X_9),divide(X_10,X_9)) != divide(inverse(X_9),divide(X_10,X_9))
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = inverse(divide(inverse(X_9),divide(X_10,X_9))) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) = inverse(divide(inverse(X_9),divide(X_10,X_9))),
inference(resolve,[$cnf( $equal(divide(divide(divide(B,B),X_9),divide(X_10,X_9)),divide(inverse(X_9),divide(X_10,X_9))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != X_10
| inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != inverse(divide(inverse(X_9),divide(X_10,X_9)))
| inverse(divide(inverse(X_9),divide(X_10,X_9))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),X_10) ),[0],$fot(inverse(divide(inverse(X_9),divide(X_10,X_9))))]]) ).
cnf(refute_0_115,plain,
( inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))) != X_10
| inverse(divide(inverse(X_9),divide(X_10,X_9))) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),inverse(divide(inverse(X_9),divide(X_10,X_9)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
inverse(divide(inverse(X_9),divide(X_10,X_9))) = X_10,
inference(resolve,[$cnf( $equal(inverse(divide(divide(divide(B,B),X_9),divide(X_10,X_9))),X_10) )],[refute_0_105,refute_0_115]) ).
cnf(refute_0_117,plain,
inverse(divide(inverse(X_9),divide(X_9,X_9))) = X_9,
inference(subst,[],[refute_0_116:[bind(X_10,$fot(X_9))]]) ).
cnf(refute_0_118,plain,
divide(X_9,X_9) = multiply(inverse(X_26),X_26),
inference(subst,[],[refute_0_71:[bind(B,$fot(X_9)),bind(X_20,$fot(X_26))]]) ).
cnf(refute_0_119,plain,
( divide(X_9,X_9) != multiply(inverse(X_26),X_26)
| inverse(divide(inverse(X_9),divide(X_9,X_9))) != X_9
| inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_9),divide(X_9,X_9))),X_9) ),[0,0,1],$fot(multiply(inverse(X_26),X_26))]]) ).
cnf(refute_0_120,plain,
( inverse(divide(inverse(X_9),divide(X_9,X_9))) != X_9
| inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = X_9 ),
inference(resolve,[$cnf( $equal(divide(X_9,X_9),multiply(inverse(X_26),X_26)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = X_9,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_9),divide(X_9,X_9))),X_9) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
divide(inverse(X_9),multiply(inverse(X_26),X_26)) = inverse(X_9),
inference(subst,[],[refute_0_80:[bind(C,$fot(inverse(X_9)))]]) ).
cnf(refute_0_123,plain,
inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))),
introduced(tautology,[refl,[$fot(inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))))]]) ).
cnf(refute_0_124,plain,
( divide(inverse(X_9),multiply(inverse(X_26),X_26)) != inverse(X_9)
| inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) != inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26)))
| inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = inverse(inverse(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))),inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26)))) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_125,plain,
( divide(inverse(X_9),multiply(inverse(X_26),X_26)) != inverse(X_9)
| inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = inverse(inverse(X_9)) ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))),inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26)))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) = inverse(inverse(X_9)),
inference(resolve,[$cnf( $equal(divide(inverse(X_9),multiply(inverse(X_26),X_26)),inverse(X_9)) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
( inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) != X_9
| inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) != inverse(inverse(X_9))
| inverse(inverse(X_9)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))),X_9) ),[0],$fot(inverse(inverse(X_9)))]]) ).
cnf(refute_0_128,plain,
( inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))) != X_9
| inverse(inverse(X_9)) = X_9 ),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))),inverse(inverse(X_9))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(inverse(X_9)) = X_9,
inference(resolve,[$cnf( $equal(inverse(divide(inverse(X_9),multiply(inverse(X_26),X_26))),X_9) )],[refute_0_121,refute_0_128]) ).
cnf(refute_0_130,plain,
inverse(inverse(X_27)) = X_27,
inference(subst,[],[refute_0_129:[bind(X_9,$fot(X_27))]]) ).
cnf(refute_0_131,plain,
( multiply(A,inverse(X_27)) != divide(A,inverse(inverse(X_27)))
| inverse(inverse(X_27)) != X_27
| multiply(A,inverse(X_27)) = divide(A,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_27)),divide(A,inverse(inverse(X_27)))) ),[1,1],$fot(X_27)]]) ).
cnf(refute_0_132,plain,
( multiply(A,inverse(X_27)) != divide(A,inverse(inverse(X_27)))
| multiply(A,inverse(X_27)) = divide(A,X_27) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),X_27) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(A,inverse(X_27)) = divide(A,X_27),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_27)),divide(A,inverse(inverse(X_27)))) )],[refute_0_100,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(multiply(X_42,B),inverse(B)) = divide(multiply(X_42,B),B),
inference(subst,[],[refute_0_133:[bind(A,$fot(multiply(X_42,B))),bind(X_27,$fot(B))]]) ).
cnf(refute_0_135,plain,
( multiply(multiply(X_42,B),inverse(B)) != X_42
| multiply(multiply(X_42,B),inverse(B)) != divide(multiply(X_42,B),B)
| divide(multiply(X_42,B),B) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_42,B),inverse(B)),X_42) ),[0],$fot(divide(multiply(X_42,B),B))]]) ).
cnf(refute_0_136,plain,
( multiply(multiply(X_42,B),inverse(B)) != X_42
| divide(multiply(X_42,B),B) = X_42 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_42,B),inverse(B)),divide(multiply(X_42,B),B)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
divide(multiply(X_42,B),B) = X_42,
inference(resolve,[$cnf( $equal(multiply(multiply(X_42,B),inverse(B)),X_42) )],[refute_0_99,refute_0_136]) ).
cnf(refute_0_138,plain,
divide(multiply(X_45,X_9),X_9) = X_45,
inference(subst,[],[refute_0_137:[bind(B,$fot(X_9)),bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_139,plain,
( multiply(X_9,divide(multiply(X_45,X_9),X_9)) != multiply(X_45,X_9)
| divide(multiply(X_45,X_9),X_9) != X_45
| multiply(X_9,X_45) = multiply(X_45,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,divide(multiply(X_45,X_9),X_9)),multiply(X_45,X_9)) ),[0,1],$fot(X_45)]]) ).
cnf(refute_0_140,plain,
( multiply(X_9,divide(multiply(X_45,X_9),X_9)) != multiply(X_45,X_9)
| multiply(X_9,X_45) = multiply(X_45,X_9) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_45,X_9),X_9),X_45) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(X_9,X_45) = multiply(X_45,X_9),
inference(resolve,[$cnf( $equal(multiply(X_9,divide(multiply(X_45,X_9),X_9)),multiply(X_45,X_9)) )],[refute_0_26,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiply(X_9,X_45) != multiply(X_45,X_9)
| multiply(X_45,X_9) = multiply(X_9,X_45) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X_9,X_45))),bind(Y,$fot(multiply(X_45,X_9)))]]) ).
cnf(refute_0_143,plain,
multiply(X_45,X_9) = multiply(X_9,X_45),
inference(resolve,[$cnf( $equal(multiply(X_9,X_45),multiply(X_45,X_9)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_143:[bind(X_45,$fot(b)),bind(X_9,$fot(a))]]) ).
cnf(refute_0_145,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_146,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_146,prove_these_axioms_4]) ).
cnf(refute_0_148,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_149,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_148,refute_0_147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP528-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.12 % 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 06:10:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44
% 0.18/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.46
%------------------------------------------------------------------------------