TSTP Solution File: GRP070-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP070-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 10:34:15 EDT 2022
% Result : Unsatisfiable 0.98s 1.17s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 69
% Syntax : Number of clauses : 263 ( 138 unt; 0 nHn; 108 RR)
% Number of literals : 444 ( 443 equ; 187 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 829 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ).
cnf(refute_0_0,plain,
multiply(inverse(Y),Y) = divide(inverse(Y),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(inverse(Y)))]]) ).
cnf(refute_0_1,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_2,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_3,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_5,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
divide(divide(Z,divide(U,Y)),inverse(U)) = multiply(divide(Z,divide(U,Y)),U),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(Z,divide(U,Y)))),bind(Y,$fot(U))]]) ).
cnf(refute_0_7,plain,
divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) = divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))),
introduced(tautology,[refl,[$fot(divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))))]]) ).
cnf(refute_0_8,plain,
( divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) != divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))
| divide(divide(Z,divide(U,Y)),inverse(U)) != multiply(divide(Z,divide(U,Y)),U)
| divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) = divide(Y,multiply(divide(Z,divide(U,Y)),U)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) ),[1,1],$fot(multiply(divide(Z,divide(U,Y)),U))]]) ).
cnf(refute_0_9,plain,
( divide(divide(Z,divide(U,Y)),inverse(U)) != multiply(divide(Z,divide(U,Y)),U)
| divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) = divide(Y,multiply(divide(Z,divide(U,Y)),U)) ),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) = divide(Y,multiply(divide(Z,divide(U,Y)),U)),
inference(resolve,[$cnf( $equal(divide(divide(Z,divide(U,Y)),inverse(U)),multiply(divide(Z,divide(U,Y)),U)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))),
introduced(tautology,[refl,[$fot(divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))))]]) ).
cnf(refute_0_12,plain,
( divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) != divide(Y,multiply(divide(Z,divide(U,Y)),U))
| divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) != divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))))
| divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))),divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))))) ),[1,1],$fot(divide(Y,multiply(divide(Z,divide(U,Y)),U)))]]) ).
cnf(refute_0_13,plain,
( divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))) != divide(Y,multiply(divide(Z,divide(U,Y)),U))
| divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))),divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))),
inference(resolve,[$cnf( $equal(divide(Y,divide(divide(Z,divide(U,Y)),inverse(U))),divide(Y,multiply(divide(Z,divide(U,Y)),U))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
( divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) != Z
| divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) != divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U)))
| divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))) = Z ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))),Z) ),[0],$fot(divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))))]]) ).
cnf(refute_0_16,plain,
( divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) != Z
| divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))) = Z ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))),divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(divide(X,X),divide(Y,multiply(divide(Z,divide(U,Y)),U))) = Z,
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))),Z) )],[single_axiom,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))),X_2))) = divide(X,X),
inference(subst,[],[refute_0_17:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(multiply(divide(Z,divide(U,X_2)),U))),bind(Z,$fot(divide(X,X)))]]) ).
cnf(refute_0_19,plain,
divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))) = Z,
inference(subst,[],[refute_0_17:[bind(Y,$fot(X_2))]]) ).
cnf(refute_0_20,plain,
( divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))) != Z
| divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))),X_2))) != divide(X,X)
| divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) = divide(X,X) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))),X_2))),divide(X,X)) ),[0,1,1,0],$fot(Z)]]) ).
cnf(refute_0_21,plain,
( divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))),X_2))) != divide(X,X)
| divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) = divide(X,X) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))),Z) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) = divide(X,X),
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(divide(divide(X,X),divide(X_2,multiply(divide(Z,divide(U,X_2)),U))),X_2))),divide(X,X)) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))),U))) = divide(X_3,X_3),
inference(subst,[],[refute_0_17:[bind(Y,$fot(multiply(divide(X_5,divide(X_2,U)),X_2))),bind(Z,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_24,plain,
divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))) = X_5,
inference(subst,[],[refute_0_17:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(U)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_25,plain,
( divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))),U))) != divide(X_3,X_3)
| divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))) != X_5
| divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) = divide(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))),U))),divide(X_3,X_3)) ),[0,1,1,0],$fot(X_5)]]) ).
cnf(refute_0_26,plain,
( divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))),U))) != divide(X_3,X_3)
| divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) = divide(X_3,X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))),X_5) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(divide(divide(X_3,X_3),divide(U,multiply(divide(X_5,divide(X_2,U)),X_2))),U))),divide(X_3,X_3)) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) = divide(X_3,X_3),
inference(subst,[],[refute_0_27:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(X_2,$fot(U)),bind(X_5,$fot(Z))]]) ).
cnf(refute_0_29,plain,
( divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) != divide(X,X)
| divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) != divide(X_3,X_3)
| divide(X_3,X_3) = divide(X,X) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))),divide(X,X)) ),[0],$fot(divide(X_3,X_3))]]) ).
cnf(refute_0_30,plain,
( divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))) != divide(X,X)
| divide(X_3,X_3) = divide(X,X) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))),divide(X_3,X_3)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(X_3,X_3) = divide(X,X),
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(multiply(divide(Z,divide(U,X_2)),U),multiply(Z,X_2))),divide(X,X)) )],[refute_0_22,refute_0_30]) ).
cnf(refute_0_32,plain,
divide(inverse(Y),inverse(Y)) = divide(X_6,X_6),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_6)),bind(X_3,$fot(inverse(Y)))]]) ).
cnf(refute_0_33,plain,
( multiply(inverse(Y),Y) != divide(inverse(Y),inverse(Y))
| divide(inverse(Y),inverse(Y)) != divide(X_6,X_6)
| multiply(inverse(Y),Y) = divide(X_6,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),Y),divide(X_6,X_6)) ),[0],$fot(divide(inverse(Y),inverse(Y)))]]) ).
cnf(refute_0_34,plain,
( multiply(inverse(Y),Y) != divide(inverse(Y),inverse(Y))
| multiply(inverse(Y),Y) = divide(X_6,X_6) ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),inverse(Y)),divide(X_6,X_6)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(inverse(Y),Y) = divide(X_6,X_6),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),divide(inverse(Y),inverse(Y))) )],[refute_0_0,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(inverse(X_8),X_8) = divide(X_6,X_6),
inference(subst,[],[refute_0_35:[bind(Y,$fot(X_8))]]) ).
cnf(refute_0_37,plain,
( multiply(inverse(X_8),X_8) != divide(X_6,X_6)
| divide(X_6,X_6) = multiply(inverse(X_8),X_8) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(X_8),X_8))),bind(Y0,$fot(divide(X_6,X_6)))]]) ).
cnf(refute_0_38,plain,
divide(X_6,X_6) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),X_8),divide(X_6,X_6)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiply(inverse(Y),Y) != divide(X_6,X_6)
| divide(X_6,X_6) != multiply(inverse(X_8),X_8)
| multiply(inverse(Y),Y) = multiply(inverse(X_8),X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(Y),Y),multiply(inverse(X_8),X_8)) ),[0],$fot(divide(X_6,X_6))]]) ).
cnf(refute_0_40,plain,
( multiply(inverse(Y),Y) != divide(X_6,X_6)
| multiply(inverse(Y),Y) = multiply(inverse(X_8),X_8) ),
inference(resolve,[$cnf( $equal(divide(X_6,X_6),multiply(inverse(X_8),X_8)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(inverse(Y),Y) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),divide(X_6,X_6)) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
( multiply(inverse(Y),Y) != multiply(inverse(X_8),X_8)
| multiply(inverse(X_8),X_8) = multiply(inverse(Y),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(Y),Y))),bind(Y0,$fot(multiply(inverse(X_8),X_8)))]]) ).
cnf(refute_0_43,plain,
multiply(inverse(X_8),X_8) = multiply(inverse(Y),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),multiply(inverse(X_8),X_8)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(a1),a1) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_43:[bind(Y,$fot(b1)),bind(X_8,$fot(a1))]]) ).
cnf(refute_0_45,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_44,prove_these_axioms]) ).
cnf(refute_0_46,plain,
multiply(inverse(b2),b2) = divide(X_6,X_6),
inference(subst,[],[refute_0_35:[bind(Y,$fot(b2))]]) ).
cnf(refute_0_47,plain,
( multiply(divide(X_6,X_6),a2) != a2
| multiply(inverse(b2),b2) != divide(X_6,X_6)
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0,0],$fot(divide(X_6,X_6))]]) ).
cnf(refute_0_48,plain,
( multiply(divide(X_6,X_6),a2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),divide(X_6,X_6)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(divide(X_6,X_6),a2) != a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_48,refute_0_45]) ).
cnf(refute_0_50,plain,
divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,divide(X_2,inverse(Y))),X_2))) = X_5,
inference(subst,[],[refute_0_17:[bind(U,$fot(X_2)),bind(X,$fot(X_3)),bind(Y,$fot(inverse(Y))),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_51,plain,
multiply(X_2,Y) = divide(X_2,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_52,plain,
( multiply(X_2,Y) != divide(X_2,inverse(Y))
| divide(X_2,inverse(Y)) = multiply(X_2,Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(X_2,Y))),bind(Y0,$fot(divide(X_2,inverse(Y))))]]) ).
cnf(refute_0_53,plain,
divide(X_2,inverse(Y)) = multiply(X_2,Y),
inference(resolve,[$cnf( $equal(multiply(X_2,Y),divide(X_2,inverse(Y))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( divide(X_2,inverse(Y)) != multiply(X_2,Y)
| divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,divide(X_2,inverse(Y))),X_2))) != X_5
| divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,multiply(X_2,Y)),X_2))) = X_5 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,divide(X_2,inverse(Y))),X_2))),X_5) ),[0,1,1,0,1],$fot(multiply(X_2,Y))]]) ).
cnf(refute_0_55,plain,
( divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,divide(X_2,inverse(Y))),X_2))) != X_5
| divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,multiply(X_2,Y)),X_2))) = X_5 ),
inference(resolve,[$cnf( $equal(divide(X_2,inverse(Y)),multiply(X_2,Y)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,multiply(X_2,Y)),X_2))) = X_5,
inference(resolve,[$cnf( $equal(divide(divide(X_3,X_3),divide(inverse(Y),multiply(divide(X_5,divide(X_2,inverse(Y))),X_2))),X_5) )],[refute_0_50,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(divide(X_15,X_15),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = X_16,
inference(subst,[],[refute_0_56:[bind(Y,$fot(X_13)),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15)),bind(X_5,$fot(X_16))]]) ).
cnf(refute_0_58,plain,
multiply(inverse(Y),Y) = divide(X_15,X_15),
inference(subst,[],[refute_0_35:[bind(X_6,$fot(X_15))]]) ).
cnf(refute_0_59,plain,
( multiply(inverse(Y),Y) != divide(X_15,X_15)
| divide(X_15,X_15) = multiply(inverse(Y),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(Y),Y))),bind(Y0,$fot(divide(X_15,X_15)))]]) ).
cnf(refute_0_60,plain,
divide(X_15,X_15) = multiply(inverse(Y),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),divide(X_15,X_15)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( divide(X_15,X_15) != multiply(inverse(Y),Y)
| divide(divide(X_15,X_15),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) != X_16
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_15,X_15),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))),X_16) ),[0,0],$fot(multiply(inverse(Y),Y))]]) ).
cnf(refute_0_62,plain,
( divide(divide(X_15,X_15),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) != X_16
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = X_16 ),
inference(resolve,[$cnf( $equal(divide(X_15,X_15),multiply(inverse(Y),Y)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = X_16,
inference(resolve,[$cnf( $equal(divide(divide(X_15,X_15),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))),X_16) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_13,multiply(divide(X_35,X_35),X_13)),divide(X_35,X_35)))) = X_13,
inference(subst,[],[refute_0_63:[bind(X_14,$fot(divide(X_35,X_35))),bind(X_16,$fot(X_13))]]) ).
cnf(refute_0_65,plain,
divide(X_3,X_3) = divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26))),
inference(subst,[],[refute_0_31:[bind(X,$fot(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26))))]]) ).
cnf(refute_0_66,plain,
divide(divide(X,X),divide(Y,multiply(divide(divide(U,Y),divide(U,Y)),U))) = divide(U,Y),
inference(subst,[],[refute_0_17:[bind(Z,$fot(divide(U,Y)))]]) ).
cnf(refute_0_67,plain,
divide(divide(U,Y),divide(U,Y)) = divide(X_6,X_6),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_6)),bind(X_3,$fot(divide(U,Y)))]]) ).
cnf(refute_0_68,plain,
( divide(divide(U,Y),divide(U,Y)) != divide(X_6,X_6)
| divide(divide(X,X),divide(Y,multiply(divide(divide(U,Y),divide(U,Y)),U))) != divide(U,Y)
| divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(U,Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(divide(U,Y),divide(U,Y)),U))),divide(U,Y)) ),[0,1,1,0],$fot(divide(X_6,X_6))]]) ).
cnf(refute_0_69,plain,
( divide(divide(X,X),divide(Y,multiply(divide(divide(U,Y),divide(U,Y)),U))) != divide(U,Y)
| divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(U,Y) ),
inference(resolve,[$cnf( $equal(divide(divide(U,Y),divide(U,Y)),divide(X_6,X_6)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(U,Y),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(divide(U,Y),divide(U,Y)),U))),divide(U,Y)) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26))) = divide(X_26,multiply(divide(X_29,X_29),X_26)),
inference(subst,[],[refute_0_70:[bind(U,$fot(X_26)),bind(X,$fot(multiply(divide(X_29,X_29),X_26))),bind(Y,$fot(multiply(divide(X_29,X_29),X_26))),bind(X_6,$fot(X_29))]]) ).
cnf(refute_0_72,plain,
( divide(X_3,X_3) != divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)))
| divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26))) != divide(X_26,multiply(divide(X_29,X_29),X_26))
| divide(X_3,X_3) = divide(X_26,multiply(divide(X_29,X_29),X_26)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_3,X_3),divide(X_26,multiply(divide(X_29,X_29),X_26))) ),[0],$fot(divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26))))]]) ).
cnf(refute_0_73,plain,
( divide(X_3,X_3) != divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)))
| divide(X_3,X_3) = divide(X_26,multiply(divide(X_29,X_29),X_26)) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26))),divide(X_26,multiply(divide(X_29,X_29),X_26))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(X_3,X_3) = divide(X_26,multiply(divide(X_29,X_29),X_26)),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),divide(divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)),divide(multiply(divide(X_29,X_29),X_26),multiply(divide(X_29,X_29),X_26)))) )],[refute_0_65,refute_0_73]) ).
cnf(refute_0_75,plain,
divide(X_36,X_36) = divide(X_13,multiply(divide(X_35,X_35),X_13)),
inference(subst,[],[refute_0_74:[bind(X_26,$fot(X_13)),bind(X_29,$fot(X_35)),bind(X_3,$fot(X_36))]]) ).
cnf(refute_0_76,plain,
( divide(X_36,X_36) != divide(X_13,multiply(divide(X_35,X_35),X_13))
| divide(X_13,multiply(divide(X_35,X_35),X_13)) = divide(X_36,X_36) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_36,X_36))),bind(Y0,$fot(divide(X_13,multiply(divide(X_35,X_35),X_13))))]]) ).
cnf(refute_0_77,plain,
divide(X_13,multiply(divide(X_35,X_35),X_13)) = divide(X_36,X_36),
inference(resolve,[$cnf( $equal(divide(X_36,X_36),divide(X_13,multiply(divide(X_35,X_35),X_13))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( divide(X_13,multiply(divide(X_35,X_35),X_13)) != divide(X_36,X_36)
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_13,multiply(divide(X_35,X_35),X_13)),divide(X_35,X_35)))) != X_13
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_13,multiply(divide(X_35,X_35),X_13)),divide(X_35,X_35)))),X_13) ),[0,1,1,0],$fot(divide(X_36,X_36))]]) ).
cnf(refute_0_79,plain,
( divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_13,multiply(divide(X_35,X_35),X_13)),divide(X_35,X_35)))) != X_13
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = X_13 ),
inference(resolve,[$cnf( $equal(divide(X_13,multiply(divide(X_35,X_35),X_13)),divide(X_36,X_36)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = X_13,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_13,multiply(divide(X_35,X_35),X_13)),divide(X_35,X_35)))),X_13) )],[refute_0_64,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(divide(X_35,X_35),inverse(X_13)) = multiply(divide(X_35,X_35),X_13),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(X_35,X_35))),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_82,plain,
divide(divide(inverse(Y),inverse(Y)),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))) = X_5,
inference(subst,[],[refute_0_17:[bind(U,$fot(X_2)),bind(X,$fot(inverse(Y))),bind(Y,$fot(X_4)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_83,plain,
( multiply(inverse(Y),Y) != divide(inverse(Y),inverse(Y))
| divide(inverse(Y),inverse(Y)) = multiply(inverse(Y),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(inverse(Y),Y))),bind(Y0,$fot(divide(inverse(Y),inverse(Y))))]]) ).
cnf(refute_0_84,plain,
divide(inverse(Y),inverse(Y)) = multiply(inverse(Y),Y),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),Y),divide(inverse(Y),inverse(Y))) )],[refute_0_0,refute_0_83]) ).
cnf(refute_0_85,plain,
( divide(divide(inverse(Y),inverse(Y)),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))) != X_5
| divide(inverse(Y),inverse(Y)) != multiply(inverse(Y),Y)
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))) = X_5 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(Y),inverse(Y)),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))),X_5) ),[0,0],$fot(multiply(inverse(Y),Y))]]) ).
cnf(refute_0_86,plain,
( divide(divide(inverse(Y),inverse(Y)),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))) != X_5
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))) = X_5 ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),inverse(Y)),multiply(inverse(Y),Y)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))) = X_5,
inference(resolve,[$cnf( $equal(divide(divide(inverse(Y),inverse(Y)),divide(X_4,multiply(divide(X_5,divide(X_2,X_4)),X_2))),X_5) )],[refute_0_82,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(divide(X_18,X_19),divide(X_18,X_19)),X_18))) = divide(X_18,X_19),
inference(subst,[],[refute_0_87:[bind(Y,$fot(X_17)),bind(X_2,$fot(X_18)),bind(X_4,$fot(X_19)),bind(X_5,$fot(divide(X_18,X_19)))]]) ).
cnf(refute_0_89,plain,
divide(X_3,X_3) = divide(divide(X_18,X_19),divide(X_18,X_19)),
inference(subst,[],[refute_0_31:[bind(X,$fot(divide(X_18,X_19)))]]) ).
cnf(refute_0_90,plain,
( divide(X_3,X_3) != divide(divide(X_18,X_19),divide(X_18,X_19))
| divide(divide(X_18,X_19),divide(X_18,X_19)) = divide(X_3,X_3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_3,X_3))),bind(Y0,$fot(divide(divide(X_18,X_19),divide(X_18,X_19))))]]) ).
cnf(refute_0_91,plain,
divide(divide(X_18,X_19),divide(X_18,X_19)) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),divide(divide(X_18,X_19),divide(X_18,X_19))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(divide(X_18,X_19),divide(X_18,X_19)),X_18))) != divide(X_18,X_19)
| divide(divide(X_18,X_19),divide(X_18,X_19)) != divide(X_3,X_3)
| divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_3,X_3),X_18))) = divide(X_18,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(divide(X_18,X_19),divide(X_18,X_19)),X_18))),divide(X_18,X_19)) ),[0,1,1,0],$fot(divide(X_3,X_3))]]) ).
cnf(refute_0_93,plain,
( divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(divide(X_18,X_19),divide(X_18,X_19)),X_18))) != divide(X_18,X_19)
| divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_3,X_3),X_18))) = divide(X_18,X_19) ),
inference(resolve,[$cnf( $equal(divide(divide(X_18,X_19),divide(X_18,X_19)),divide(X_3,X_3)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_3,X_3),X_18))) = divide(X_18,X_19),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(divide(X_18,X_19),divide(X_18,X_19)),X_18))),divide(X_18,X_19)) )],[refute_0_88,refute_0_93]) ).
cnf(refute_0_95,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = divide(divide(X_35,X_35),inverse(X_13)),
inference(subst,[],[refute_0_94:[bind(X_17,$fot(Y)),bind(X_18,$fot(divide(X_35,X_35))),bind(X_19,$fot(inverse(X_13))),bind(X_3,$fot(X_36))]]) ).
cnf(refute_0_96,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_97,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_3,refute_0_96]) ).
cnf(refute_0_98,plain,
( divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) != divide(divide(X_35,X_35),inverse(X_13))
| divide(divide(X_35,X_35),inverse(X_13)) != multiply(divide(X_35,X_35),X_13)
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = multiply(divide(X_35,X_35),X_13) ),
inference(subst,[],[refute_0_97:[bind(X0,$fot(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))))),bind(Y0,$fot(divide(divide(X_35,X_35),inverse(X_13)))),bind(Z0,$fot(multiply(divide(X_35,X_35),X_13)))]]) ).
cnf(refute_0_99,plain,
( divide(divide(X_35,X_35),inverse(X_13)) != multiply(divide(X_35,X_35),X_13)
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = multiply(divide(X_35,X_35),X_13) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))),divide(divide(X_35,X_35),inverse(X_13))) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) = multiply(divide(X_35,X_35),X_13),
inference(resolve,[$cnf( $equal(divide(divide(X_35,X_35),inverse(X_13)),multiply(divide(X_35,X_35),X_13)) )],[refute_0_81,refute_0_99]) ).
cnf(refute_0_101,plain,
( divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) != X_13
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) != multiply(divide(X_35,X_35),X_13)
| multiply(divide(X_35,X_35),X_13) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))),X_13) ),[0],$fot(multiply(divide(X_35,X_35),X_13))]]) ).
cnf(refute_0_102,plain,
( divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))) != X_13
| multiply(divide(X_35,X_35),X_13) = X_13 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))),multiply(divide(X_35,X_35),X_13)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(divide(X_35,X_35),X_13) = X_13,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_36,X_36),divide(X_35,X_35)))),X_13) )],[refute_0_80,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(divide(X_6,X_6),a2) = a2,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(a2)),bind(X_35,$fot(X_6))]]) ).
cnf(refute_0_105,plain,
( multiply(divide(X_6,X_6),a2) != a2
| a2 != a2
| multiply(divide(X_6,X_6),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(divide(X_6,X_6),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_106,plain,
( a2 != a2
| multiply(divide(X_6,X_6),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_6,X_6),a2),a2) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_6,X_6),a2),a2) )],[refute_0_106,refute_0_49]) ).
cnf(refute_0_108,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_109,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_108,refute_0_107]) ).
cnf(refute_0_110,plain,
divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13)) = multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13),
inference(subst,[],[refute_0_5:[bind(X,$fot(multiply(divide(X_16,multiply(X_14,X_13)),X_14))),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_111,plain,
divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(divide(X_2,X_4),divide(X_2,X_4)),X_2))) = divide(X_2,X_4),
inference(subst,[],[refute_0_87:[bind(X_5,$fot(divide(X_2,X_4)))]]) ).
cnf(refute_0_112,plain,
divide(divide(X_2,X_4),divide(X_2,X_4)) = divide(X_34,multiply(divide(X_35,X_35),X_34)),
inference(subst,[],[refute_0_74:[bind(X_26,$fot(X_34)),bind(X_29,$fot(X_35)),bind(X_3,$fot(divide(X_2,X_4)))]]) ).
cnf(refute_0_113,plain,
( divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(divide(X_2,X_4),divide(X_2,X_4)),X_2))) != divide(X_2,X_4)
| divide(divide(X_2,X_4),divide(X_2,X_4)) != divide(X_34,multiply(divide(X_35,X_35),X_34))
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(X_2,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(divide(X_2,X_4),divide(X_2,X_4)),X_2))),divide(X_2,X_4)) ),[0,1,1,0],$fot(divide(X_34,multiply(divide(X_35,X_35),X_34)))]]) ).
cnf(refute_0_114,plain,
( divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(divide(X_2,X_4),divide(X_2,X_4)),X_2))) != divide(X_2,X_4)
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(X_2,X_4) ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_4),divide(X_2,X_4)),divide(X_34,multiply(divide(X_35,X_35),X_34))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(X_2,X_4),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(divide(X_2,X_4),divide(X_2,X_4)),X_2))),divide(X_2,X_4)) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(divide(X_34,X_34),X_2) = X_2,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(X_2)),bind(X_35,$fot(X_34))]]) ).
cnf(refute_0_117,plain,
multiply(divide(X_35,X_35),X_34) = X_34,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(X_34))]]) ).
cnf(refute_0_118,plain,
divide(X_34,multiply(divide(X_35,X_35),X_34)) = divide(X_34,multiply(divide(X_35,X_35),X_34)),
introduced(tautology,[refl,[$fot(divide(X_34,multiply(divide(X_35,X_35),X_34)))]]) ).
cnf(refute_0_119,plain,
( multiply(divide(X_35,X_35),X_34) != X_34
| divide(X_34,multiply(divide(X_35,X_35),X_34)) != divide(X_34,multiply(divide(X_35,X_35),X_34))
| divide(X_34,multiply(divide(X_35,X_35),X_34)) = divide(X_34,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_34,multiply(divide(X_35,X_35),X_34)),divide(X_34,multiply(divide(X_35,X_35),X_34))) ),[1,1],$fot(X_34)]]) ).
cnf(refute_0_120,plain,
( multiply(divide(X_35,X_35),X_34) != X_34
| divide(X_34,multiply(divide(X_35,X_35),X_34)) = divide(X_34,X_34) ),
inference(resolve,[$cnf( $equal(divide(X_34,multiply(divide(X_35,X_35),X_34)),divide(X_34,multiply(divide(X_35,X_35),X_34))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(X_34,multiply(divide(X_35,X_35),X_34)) = divide(X_34,X_34),
inference(resolve,[$cnf( $equal(multiply(divide(X_35,X_35),X_34),X_34) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2),
introduced(tautology,[refl,[$fot(multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))]]) ).
cnf(refute_0_123,plain,
( multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) != multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)
| divide(X_34,multiply(divide(X_35,X_35),X_34)) != divide(X_34,X_34)
| multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = multiply(divide(X_34,X_34),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2),multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) ),[1,0],$fot(divide(X_34,X_34))]]) ).
cnf(refute_0_124,plain,
( divide(X_34,multiply(divide(X_35,X_35),X_34)) != divide(X_34,X_34)
| multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = multiply(divide(X_34,X_34),X_2) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2),multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = multiply(divide(X_34,X_34),X_2),
inference(resolve,[$cnf( $equal(divide(X_34,multiply(divide(X_35,X_35),X_34)),divide(X_34,X_34)) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( multiply(divide(X_34,X_34),X_2) != X_2
| multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) != multiply(divide(X_34,X_34),X_2)
| multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = X_2 ),
inference(subst,[],[refute_0_97:[bind(X0,$fot(multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),bind(Y0,$fot(multiply(divide(X_34,X_34),X_2))),bind(Z0,$fot(X_2))]]) ).
cnf(refute_0_127,plain,
( multiply(divide(X_34,X_34),X_2) != X_2
| multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = X_2 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2),multiply(divide(X_34,X_34),X_2)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) = X_2,
inference(resolve,[$cnf( $equal(multiply(divide(X_34,X_34),X_2),X_2) )],[refute_0_116,refute_0_127]) ).
cnf(refute_0_129,plain,
divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) = divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)),
introduced(tautology,[refl,[$fot(divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)))]]) ).
cnf(refute_0_130,plain,
( multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) != X_2
| divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) != divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))
| divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) = divide(X_4,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_131,plain,
( multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2) != X_2
| divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) = divide(X_4,X_2) ),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) = divide(X_4,X_2),
inference(resolve,[$cnf( $equal(multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2),X_2) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))))]]) ).
cnf(refute_0_134,plain,
( divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) != divide(X_4,X_2)
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) != divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)))
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(multiply(inverse(Y),Y),divide(X_4,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)))) ),[1,1],$fot(divide(X_4,X_2))]]) ).
cnf(refute_0_135,plain,
( divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)) != divide(X_4,X_2)
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(multiply(inverse(Y),Y),divide(X_4,X_2)) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) = divide(multiply(inverse(Y),Y),divide(X_4,X_2)),
inference(resolve,[$cnf( $equal(divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2)),divide(X_4,X_2)) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
( divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) != divide(X_2,X_4)
| divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) != divide(multiply(inverse(Y),Y),divide(X_4,X_2))
| divide(multiply(inverse(Y),Y),divide(X_4,X_2)) = divide(X_2,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),divide(X_2,X_4)) ),[0],$fot(divide(multiply(inverse(Y),Y),divide(X_4,X_2)))]]) ).
cnf(refute_0_138,plain,
( divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))) != divide(X_2,X_4)
| divide(multiply(inverse(Y),Y),divide(X_4,X_2)) = divide(X_2,X_4) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),divide(multiply(inverse(Y),Y),divide(X_4,X_2))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
divide(multiply(inverse(Y),Y),divide(X_4,X_2)) = divide(X_2,X_4),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(X_4,multiply(divide(X_34,multiply(divide(X_35,X_35),X_34)),X_2))),divide(X_2,X_4)) )],[refute_0_115,refute_0_138]) ).
cnf(refute_0_140,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13)),
inference(subst,[],[refute_0_139:[bind(X_2,$fot(multiply(divide(X_16,multiply(X_14,X_13)),X_14))),bind(X_4,$fot(inverse(X_13)))]]) ).
cnf(refute_0_141,plain,
( divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13)) != multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13)
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) != divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13))
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13) ),
inference(subst,[],[refute_0_97:[bind(X0,$fot(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))))),bind(Y0,$fot(divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13)))),bind(Z0,$fot(multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13)))]]) ).
cnf(refute_0_142,plain,
( divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13)) != multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13)
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))),divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) = multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_16,multiply(X_14,X_13)),X_14),inverse(X_13)),multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13)) )],[refute_0_110,refute_0_142]) ).
cnf(refute_0_144,plain,
( divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) != X_16
| divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) != multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13)
| multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))),X_16) ),[0],$fot(multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13))]]) ).
cnf(refute_0_145,plain,
( divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))) != X_16
| multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13) = X_16 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))),multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(multiply(divide(X_16,multiply(X_14,X_13)),X_14),X_13) = X_16,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(Y),Y),divide(inverse(X_13),multiply(divide(X_16,multiply(X_14,X_13)),X_14))),X_16) )],[refute_0_63,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(multiply(divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)),X_103),X_102) = multiply(X_20,multiply(X_103,X_102)),
inference(subst,[],[refute_0_146:[bind(X_13,$fot(X_102)),bind(X_14,$fot(X_103)),bind(X_16,$fot(multiply(X_20,multiply(X_103,X_102))))]]) ).
cnf(refute_0_148,plain,
divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_19,X_19)),X_19))) = X_20,
inference(subst,[],[refute_0_87:[bind(Y,$fot(X_17)),bind(X_2,$fot(X_19)),bind(X_4,$fot(X_19)),bind(X_5,$fot(X_20))]]) ).
cnf(refute_0_149,plain,
divide(X_3,X_3) = divide(X_19,X_19),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_150,plain,
( divide(X_3,X_3) != divide(X_19,X_19)
| divide(X_19,X_19) = divide(X_3,X_3) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_3,X_3))),bind(Y0,$fot(divide(X_19,X_19)))]]) ).
cnf(refute_0_151,plain,
divide(X_19,X_19) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(divide(X_3,X_3),divide(X_19,X_19)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( divide(X_19,X_19) != divide(X_3,X_3)
| divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_19,X_19)),X_19))) != X_20
| divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_19,X_19)),X_19))),X_20) ),[0,1,1,0,1],$fot(divide(X_3,X_3))]]) ).
cnf(refute_0_153,plain,
( divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_19,X_19)),X_19))) != X_20
| divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) = X_20 ),
inference(resolve,[$cnf( $equal(divide(X_19,X_19),divide(X_3,X_3)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) = X_20,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_19,X_19)),X_19))),X_20) )],[refute_0_148,refute_0_153]) ).
cnf(refute_0_155,plain,
divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) = divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),
inference(subst,[],[refute_0_139:[bind(Y,$fot(X_17)),bind(X_2,$fot(multiply(divide(X_20,divide(X_3,X_3)),X_19))),bind(X_4,$fot(X_19))]]) ).
cnf(refute_0_156,plain,
( divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) != X_20
| divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) != divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19)
| divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))),X_20) ),[0],$fot(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19))]]) ).
cnf(refute_0_157,plain,
( divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))) != X_20
| divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = X_20 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))),divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = X_20,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_17),X_17),divide(X_19,multiply(divide(X_20,divide(X_3,X_3)),X_19))),X_20) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
divide(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),inverse(divide(X_20,divide(X_3,X_3)))) = X_20,
inference(subst,[],[refute_0_158:[bind(X_19,$fot(inverse(divide(X_20,divide(X_3,X_3)))))]]) ).
cnf(refute_0_160,plain,
divide(multiply(divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)),X_54),X_54) = multiply(divide(divide(X_56,X_56),U),U),
inference(subst,[],[refute_0_158:[bind(X_19,$fot(X_54)),bind(X_20,$fot(multiply(divide(divide(X_56,X_56),U),U))),bind(X_3,$fot(X_56))]]) ).
cnf(refute_0_161,plain,
multiply(divide(X_6,X_6),U) = U,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(U)),bind(X_35,$fot(X_6))]]) ).
cnf(refute_0_162,plain,
divide(Y,multiply(divide(X_6,X_6),U)) = divide(Y,multiply(divide(X_6,X_6),U)),
introduced(tautology,[refl,[$fot(divide(Y,multiply(divide(X_6,X_6),U)))]]) ).
cnf(refute_0_163,plain,
( multiply(divide(X_6,X_6),U) != U
| divide(Y,multiply(divide(X_6,X_6),U)) != divide(Y,multiply(divide(X_6,X_6),U))
| divide(Y,multiply(divide(X_6,X_6),U)) = divide(Y,U) ),
introduced(tautology,[equality,[$cnf( $equal(divide(Y,multiply(divide(X_6,X_6),U)),divide(Y,multiply(divide(X_6,X_6),U))) ),[1,1],$fot(U)]]) ).
cnf(refute_0_164,plain,
( multiply(divide(X_6,X_6),U) != U
| divide(Y,multiply(divide(X_6,X_6),U)) = divide(Y,U) ),
inference(resolve,[$cnf( $equal(divide(Y,multiply(divide(X_6,X_6),U)),divide(Y,multiply(divide(X_6,X_6),U))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
divide(Y,multiply(divide(X_6,X_6),U)) = divide(Y,U),
inference(resolve,[$cnf( $equal(multiply(divide(X_6,X_6),U),U) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))),
introduced(tautology,[refl,[$fot(divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))))]]) ).
cnf(refute_0_167,plain,
( divide(Y,multiply(divide(X_6,X_6),U)) != divide(Y,U)
| divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) != divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U)))
| divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(divide(X,X),divide(Y,U)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))),divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U)))) ),[1,1],$fot(divide(Y,U))]]) ).
cnf(refute_0_168,plain,
( divide(Y,multiply(divide(X_6,X_6),U)) != divide(Y,U)
| divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(divide(X,X),divide(Y,U)) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))),divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) = divide(divide(X,X),divide(Y,U)),
inference(resolve,[$cnf( $equal(divide(Y,multiply(divide(X_6,X_6),U)),divide(Y,U)) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
( divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) != divide(U,Y)
| divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) != divide(divide(X,X),divide(Y,U))
| divide(divide(X,X),divide(Y,U)) = divide(U,Y) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))),divide(U,Y)) ),[0],$fot(divide(divide(X,X),divide(Y,U)))]]) ).
cnf(refute_0_171,plain,
( divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))) != divide(U,Y)
| divide(divide(X,X),divide(Y,U)) = divide(U,Y) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))),divide(divide(X,X),divide(Y,U))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
divide(divide(X,X),divide(Y,U)) = divide(U,Y),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(Y,multiply(divide(X_6,X_6),U))),divide(U,Y)) )],[refute_0_70,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) = divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2)),
inference(subst,[],[refute_0_172:[bind(U,$fot(multiply(X_5,U))),bind(Y,$fot(multiply(divide(X_5,divide(X_2,U)),X_2)))]]) ).
cnf(refute_0_174,plain,
( divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) != divide(X_3,X_3)
| divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) != divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2))
| divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2)) = divide(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))),divide(X_3,X_3)) ),[0],$fot(divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2)))]]) ).
cnf(refute_0_175,plain,
( divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))) != divide(X_3,X_3)
| divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2)) = divide(X_3,X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))),divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(multiply(X_5,U),multiply(divide(X_5,divide(X_2,U)),X_2)) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(divide(divide(X,X),divide(multiply(divide(X_5,divide(X_2,U)),X_2),multiply(X_5,U))),divide(X_3,X_3)) )],[refute_0_27,refute_0_175]) ).
cnf(refute_0_177,plain,
divide(multiply(divide(X_2,U),U),multiply(divide(divide(X_2,U),divide(X_2,U)),X_2)) = divide(X_3,X_3),
inference(subst,[],[refute_0_176:[bind(X_5,$fot(divide(X_2,U)))]]) ).
cnf(refute_0_178,plain,
divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)) = divide(divide(X_2,U),divide(X_2,U)),
inference(subst,[],[refute_0_176:[bind(U,$fot(X_41)),bind(X_2,$fot(X_42)),bind(X_3,$fot(divide(X_2,U))),bind(X_5,$fot(X_44))]]) ).
cnf(refute_0_179,plain,
( divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)) != divide(divide(X_2,U),divide(X_2,U))
| divide(divide(X_2,U),divide(X_2,U)) = divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)))),bind(Y0,$fot(divide(divide(X_2,U),divide(X_2,U))))]]) ).
cnf(refute_0_180,plain,
divide(divide(X_2,U),divide(X_2,U)) = divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),
inference(resolve,[$cnf( $equal(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),divide(divide(X_2,U),divide(X_2,U))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( divide(multiply(divide(X_2,U),U),multiply(divide(divide(X_2,U),divide(X_2,U)),X_2)) != divide(X_3,X_3)
| divide(divide(X_2,U),divide(X_2,U)) != divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42))
| divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(divide(X_2,U),divide(X_2,U)),X_2)),divide(X_3,X_3)) ),[0,1,0],$fot(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)))]]) ).
cnf(refute_0_182,plain,
( divide(multiply(divide(X_2,U),U),multiply(divide(divide(X_2,U),divide(X_2,U)),X_2)) != divide(X_3,X_3)
| divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(X_3,X_3) ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,U),divide(X_2,U)),divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(divide(X_2,U),divide(X_2,U)),X_2)),divide(X_3,X_3)) )],[refute_0_177,refute_0_182]) ).
cnf(refute_0_184,plain,
divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)) = divide(X_35,X_35),
inference(subst,[],[refute_0_176:[bind(U,$fot(X_41)),bind(X_2,$fot(X_42)),bind(X_3,$fot(X_35)),bind(X_5,$fot(X_44))]]) ).
cnf(refute_0_185,plain,
( divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)) != divide(X_35,X_35)
| divide(X_35,X_35) = divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)))),bind(Y0,$fot(divide(X_35,X_35)))]]) ).
cnf(refute_0_186,plain,
divide(X_35,X_35) = divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),
inference(resolve,[$cnf( $equal(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),divide(X_35,X_35)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( multiply(divide(X_35,X_35),X_13) != X_13
| divide(X_35,X_35) != divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42))
| multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_13) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_35,X_35),X_13),X_13) ),[0,0],$fot(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)))]]) ).
cnf(refute_0_188,plain,
( multiply(divide(X_35,X_35),X_13) != X_13
| multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_13) = X_13 ),
inference(resolve,[$cnf( $equal(divide(X_35,X_35),divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_13) = X_13,
inference(resolve,[$cnf( $equal(multiply(divide(X_35,X_35),X_13),X_13) )],[refute_0_103,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2) = X_2,
inference(subst,[],[refute_0_189:[bind(X_13,$fot(X_2))]]) ).
cnf(refute_0_191,plain,
divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)))]]) ).
cnf(refute_0_192,plain,
( multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2) != X_2
| divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) != divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2))
| divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(multiply(divide(X_2,U),U),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)),divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_193,plain,
( multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2) != X_2
| divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(multiply(divide(X_2,U),U),X_2) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)),divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) = divide(multiply(divide(X_2,U),U),X_2),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2),X_2) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) != divide(X_3,X_3)
| divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) != divide(multiply(divide(X_2,U),U),X_2)
| divide(multiply(divide(X_2,U),U),X_2) = divide(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)),divide(X_3,X_3)) ),[0],$fot(divide(multiply(divide(X_2,U),U),X_2))]]) ).
cnf(refute_0_196,plain,
( divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)) != divide(X_3,X_3)
| divide(multiply(divide(X_2,U),U),X_2) = divide(X_3,X_3) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)),divide(multiply(divide(X_2,U),U),X_2)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
divide(multiply(divide(X_2,U),U),X_2) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_2,U),U),multiply(divide(multiply(X_44,X_41),multiply(divide(X_44,divide(X_42,X_41)),X_42)),X_2)),divide(X_3,X_3)) )],[refute_0_183,refute_0_196]) ).
cnf(refute_0_198,plain,
divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)) = divide(X_3,X_3),
inference(subst,[],[refute_0_197:[bind(X_2,$fot(divide(X_56,X_56)))]]) ).
cnf(refute_0_199,plain,
( divide(multiply(divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)),X_54),X_54) != multiply(divide(divide(X_56,X_56),U),U)
| divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)) != divide(X_3,X_3)
| divide(multiply(divide(X_3,X_3),X_54),X_54) = multiply(divide(divide(X_56,X_56),U),U) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)),X_54),X_54),multiply(divide(divide(X_56,X_56),U),U)) ),[0,0,0],$fot(divide(X_3,X_3))]]) ).
cnf(refute_0_200,plain,
( divide(multiply(divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)),X_54),X_54) != multiply(divide(divide(X_56,X_56),U),U)
| divide(multiply(divide(X_3,X_3),X_54),X_54) = multiply(divide(divide(X_56,X_56),U),U) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)),divide(X_3,X_3)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
divide(multiply(divide(X_3,X_3),X_54),X_54) = multiply(divide(divide(X_56,X_56),U),U),
inference(resolve,[$cnf( $equal(divide(multiply(divide(multiply(divide(divide(X_56,X_56),U),U),divide(X_56,X_56)),X_54),X_54),multiply(divide(divide(X_56,X_56),U),U)) )],[refute_0_160,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(divide(X_3,X_3),X_54) = X_54,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(X_54)),bind(X_35,$fot(X_3))]]) ).
cnf(refute_0_203,plain,
divide(multiply(divide(X_3,X_3),X_54),X_54) = divide(multiply(divide(X_3,X_3),X_54),X_54),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_3,X_3),X_54),X_54))]]) ).
cnf(refute_0_204,plain,
( multiply(divide(X_3,X_3),X_54) != X_54
| divide(multiply(divide(X_3,X_3),X_54),X_54) != divide(multiply(divide(X_3,X_3),X_54),X_54)
| divide(multiply(divide(X_3,X_3),X_54),X_54) = divide(X_54,X_54) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_3,X_3),X_54),X_54),divide(multiply(divide(X_3,X_3),X_54),X_54)) ),[1,0],$fot(X_54)]]) ).
cnf(refute_0_205,plain,
( multiply(divide(X_3,X_3),X_54) != X_54
| divide(multiply(divide(X_3,X_3),X_54),X_54) = divide(X_54,X_54) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_3,X_3),X_54),X_54),divide(multiply(divide(X_3,X_3),X_54),X_54)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(multiply(divide(X_3,X_3),X_54),X_54) = divide(X_54,X_54),
inference(resolve,[$cnf( $equal(multiply(divide(X_3,X_3),X_54),X_54) )],[refute_0_202,refute_0_205]) ).
cnf(refute_0_207,plain,
( divide(multiply(divide(X_3,X_3),X_54),X_54) != multiply(divide(divide(X_56,X_56),U),U)
| divide(multiply(divide(X_3,X_3),X_54),X_54) != divide(X_54,X_54)
| divide(X_54,X_54) = multiply(divide(divide(X_56,X_56),U),U) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_3,X_3),X_54),X_54),multiply(divide(divide(X_56,X_56),U),U)) ),[0],$fot(divide(X_54,X_54))]]) ).
cnf(refute_0_208,plain,
( divide(multiply(divide(X_3,X_3),X_54),X_54) != multiply(divide(divide(X_56,X_56),U),U)
| divide(X_54,X_54) = multiply(divide(divide(X_56,X_56),U),U) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_3,X_3),X_54),X_54),divide(X_54,X_54)) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
divide(X_54,X_54) = multiply(divide(divide(X_56,X_56),U),U),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_3,X_3),X_54),X_54),multiply(divide(divide(X_56,X_56),U),U)) )],[refute_0_201,refute_0_208]) ).
cnf(refute_0_210,plain,
divide(X_58,X_58) = multiply(divide(divide(X_59,X_59),inverse(Y)),inverse(Y)),
inference(subst,[],[refute_0_209:[bind(U,$fot(inverse(Y))),bind(X_54,$fot(X_58)),bind(X_56,$fot(X_59))]]) ).
cnf(refute_0_211,plain,
multiply(divide(X_59,X_59),Y) = divide(divide(X_59,X_59),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(divide(X_59,X_59)))]]) ).
cnf(refute_0_212,plain,
( multiply(divide(X_59,X_59),Y) != divide(divide(X_59,X_59),inverse(Y))
| divide(divide(X_59,X_59),inverse(Y)) = multiply(divide(X_59,X_59),Y) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(multiply(divide(X_59,X_59),Y))),bind(Y0,$fot(divide(divide(X_59,X_59),inverse(Y))))]]) ).
cnf(refute_0_213,plain,
divide(divide(X_59,X_59),inverse(Y)) = multiply(divide(X_59,X_59),Y),
inference(resolve,[$cnf( $equal(multiply(divide(X_59,X_59),Y),divide(divide(X_59,X_59),inverse(Y))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( divide(X_58,X_58) != multiply(divide(divide(X_59,X_59),inverse(Y)),inverse(Y))
| divide(divide(X_59,X_59),inverse(Y)) != multiply(divide(X_59,X_59),Y)
| divide(X_58,X_58) = multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_58,X_58),multiply(divide(divide(X_59,X_59),inverse(Y)),inverse(Y))) ),[1,0],$fot(multiply(divide(X_59,X_59),Y))]]) ).
cnf(refute_0_215,plain,
( divide(X_58,X_58) != multiply(divide(divide(X_59,X_59),inverse(Y)),inverse(Y))
| divide(X_58,X_58) = multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_59,X_59),inverse(Y)),multiply(divide(X_59,X_59),Y)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(X_58,X_58) = multiply(multiply(divide(X_59,X_59),Y),inverse(Y)),
inference(resolve,[$cnf( $equal(divide(X_58,X_58),multiply(divide(divide(X_59,X_59),inverse(Y)),inverse(Y))) )],[refute_0_210,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(divide(X_59,X_59),Y) = Y,
inference(subst,[],[refute_0_103:[bind(X_13,$fot(Y)),bind(X_35,$fot(X_59))]]) ).
cnf(refute_0_218,plain,
multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) = multiply(multiply(divide(X_59,X_59),Y),inverse(Y)),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(X_59,X_59),Y),inverse(Y)))]]) ).
cnf(refute_0_219,plain,
( multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) != multiply(multiply(divide(X_59,X_59),Y),inverse(Y))
| multiply(divide(X_59,X_59),Y) != Y
| multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) = multiply(Y,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_59,X_59),Y),inverse(Y)),multiply(multiply(divide(X_59,X_59),Y),inverse(Y))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_220,plain,
( multiply(divide(X_59,X_59),Y) != Y
| multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) = multiply(Y,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_59,X_59),Y),inverse(Y)),multiply(multiply(divide(X_59,X_59),Y),inverse(Y))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) = multiply(Y,inverse(Y)),
inference(resolve,[$cnf( $equal(multiply(divide(X_59,X_59),Y),Y) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(multiply(divide(X_59,X_59),Y),inverse(Y)) != multiply(Y,inverse(Y))
| divide(X_58,X_58) != multiply(multiply(divide(X_59,X_59),Y),inverse(Y))
| divide(X_58,X_58) = multiply(Y,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_58,X_58),multiply(multiply(divide(X_59,X_59),Y),inverse(Y))) ),[1],$fot(multiply(Y,inverse(Y)))]]) ).
cnf(refute_0_223,plain,
( divide(X_58,X_58) != multiply(multiply(divide(X_59,X_59),Y),inverse(Y))
| divide(X_58,X_58) = multiply(Y,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_59,X_59),Y),inverse(Y)),multiply(Y,inverse(Y))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(X_58,X_58) = multiply(Y,inverse(Y)),
inference(resolve,[$cnf( $equal(divide(X_58,X_58),multiply(multiply(divide(X_59,X_59),Y),inverse(Y))) )],[refute_0_216,refute_0_223]) ).
cnf(refute_0_225,plain,
divide(X_61,X_61) = multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),
inference(subst,[],[refute_0_224:[bind(Y,$fot(divide(X_20,divide(X_3,X_3)))),bind(X_58,$fot(X_61))]]) ).
cnf(refute_0_226,plain,
( divide(X_61,X_61) != multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3))))
| multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))) = divide(X_61,X_61) ),
inference(subst,[],[refute_0_3:[bind(X0,$fot(divide(X_61,X_61))),bind(Y0,$fot(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3))))))]]) ).
cnf(refute_0_227,plain,
multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))) = divide(X_61,X_61),
inference(resolve,[$cnf( $equal(divide(X_61,X_61),multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3))))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
( multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))) != divide(X_61,X_61)
| divide(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),inverse(divide(X_20,divide(X_3,X_3)))) != X_20
| divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),inverse(divide(X_20,divide(X_3,X_3)))),X_20) ),[0,0],$fot(divide(X_61,X_61))]]) ).
cnf(refute_0_229,plain,
( divide(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),inverse(divide(X_20,divide(X_3,X_3)))) != X_20
| divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = X_20 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),divide(X_61,X_61)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = X_20,
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),inverse(divide(X_20,divide(X_3,X_3)))),inverse(divide(X_20,divide(X_3,X_3)))),X_20) )],[refute_0_159,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3))) = divide(X_20,divide(X_3,X_3)),
inference(subst,[],[refute_0_103:[bind(X_13,$fot(divide(X_20,divide(X_3,X_3)))),bind(X_35,$fot(X_61))]]) ).
cnf(refute_0_232,plain,
divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3))),
inference(subst,[],[refute_0_5:[bind(X,$fot(divide(X_61,X_61))),bind(Y,$fot(divide(X_20,divide(X_3,X_3))))]]) ).
cnf(refute_0_233,plain,
( multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3))) != divide(X_20,divide(X_3,X_3))
| divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) != multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3)))
| divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = divide(X_20,divide(X_3,X_3)) ),
inference(subst,[],[refute_0_97:[bind(X0,$fot(divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))))),bind(Y0,$fot(multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3))))),bind(Z0,$fot(divide(X_20,divide(X_3,X_3))))]]) ).
cnf(refute_0_234,plain,
( multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3))) != divide(X_20,divide(X_3,X_3))
| divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = divide(X_20,divide(X_3,X_3)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))),multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3)))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) = divide(X_20,divide(X_3,X_3)),
inference(resolve,[$cnf( $equal(multiply(divide(X_61,X_61),divide(X_20,divide(X_3,X_3))),divide(X_20,divide(X_3,X_3))) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
( divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) != X_20
| divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) != divide(X_20,divide(X_3,X_3))
| divide(X_20,divide(X_3,X_3)) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))),X_20) ),[0],$fot(divide(X_20,divide(X_3,X_3)))]]) ).
cnf(refute_0_237,plain,
( divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))) != X_20
| divide(X_20,divide(X_3,X_3)) = X_20 ),
inference(resolve,[$cnf( $equal(divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))),divide(X_20,divide(X_3,X_3))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
divide(X_20,divide(X_3,X_3)) = X_20,
inference(resolve,[$cnf( $equal(divide(divide(X_61,X_61),inverse(divide(X_20,divide(X_3,X_3)))),X_20) )],[refute_0_230,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(divide(X_20,divide(X_3,X_3)),X_19) = multiply(divide(X_20,divide(X_3,X_3)),X_19),
introduced(tautology,[refl,[$fot(multiply(divide(X_20,divide(X_3,X_3)),X_19))]]) ).
cnf(refute_0_240,plain,
( multiply(divide(X_20,divide(X_3,X_3)),X_19) != multiply(divide(X_20,divide(X_3,X_3)),X_19)
| divide(X_20,divide(X_3,X_3)) != X_20
| multiply(divide(X_20,divide(X_3,X_3)),X_19) = multiply(X_20,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_20,divide(X_3,X_3)),X_19),multiply(divide(X_20,divide(X_3,X_3)),X_19)) ),[1,0],$fot(X_20)]]) ).
cnf(refute_0_241,plain,
( divide(X_20,divide(X_3,X_3)) != X_20
| multiply(divide(X_20,divide(X_3,X_3)),X_19) = multiply(X_20,X_19) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_20,divide(X_3,X_3)),X_19),multiply(divide(X_20,divide(X_3,X_3)),X_19)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(divide(X_20,divide(X_3,X_3)),X_19) = multiply(X_20,X_19),
inference(resolve,[$cnf( $equal(divide(X_20,divide(X_3,X_3)),X_20) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19))]]) ).
cnf(refute_0_244,plain,
( multiply(divide(X_20,divide(X_3,X_3)),X_19) != multiply(X_20,X_19)
| divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) != divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19)
| divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = divide(multiply(X_20,X_19),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19)) ),[1,0],$fot(multiply(X_20,X_19))]]) ).
cnf(refute_0_245,plain,
( multiply(divide(X_20,divide(X_3,X_3)),X_19) != multiply(X_20,X_19)
| divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = divide(multiply(X_20,X_19),X_19) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) = divide(multiply(X_20,X_19),X_19),
inference(resolve,[$cnf( $equal(multiply(divide(X_20,divide(X_3,X_3)),X_19),multiply(X_20,X_19)) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
( divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) != X_20
| divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) != divide(multiply(X_20,X_19),X_19)
| divide(multiply(X_20,X_19),X_19) = X_20 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),X_20) ),[0],$fot(divide(multiply(X_20,X_19),X_19))]]) ).
cnf(refute_0_248,plain,
( divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19) != X_20
| divide(multiply(X_20,X_19),X_19) = X_20 ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),divide(multiply(X_20,X_19),X_19)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
divide(multiply(X_20,X_19),X_19) = X_20,
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_20,divide(X_3,X_3)),X_19),X_19),X_20) )],[refute_0_158,refute_0_248]) ).
cnf(refute_0_250,plain,
divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)) = X_20,
inference(subst,[],[refute_0_249:[bind(X_19,$fot(multiply(X_103,X_102)))]]) ).
cnf(refute_0_251,plain,
( multiply(multiply(divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)),X_103),X_102) != multiply(X_20,multiply(X_103,X_102))
| divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)) != X_20
| multiply(multiply(X_20,X_103),X_102) = multiply(X_20,multiply(X_103,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)),X_103),X_102),multiply(X_20,multiply(X_103,X_102))) ),[0,0,0],$fot(X_20)]]) ).
cnf(refute_0_252,plain,
( multiply(multiply(divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)),X_103),X_102) != multiply(X_20,multiply(X_103,X_102))
| multiply(multiply(X_20,X_103),X_102) = multiply(X_20,multiply(X_103,X_102)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)),X_20) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(multiply(X_20,X_103),X_102) = multiply(X_20,multiply(X_103,X_102)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(multiply(X_20,multiply(X_103,X_102)),multiply(X_103,X_102)),X_103),X_102),multiply(X_20,multiply(X_103,X_102))) )],[refute_0_147,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_253:[bind(X_102,$fot(c3)),bind(X_103,$fot(b3)),bind(X_20,$fot(a3))]]) ).
cnf(refute_0_255,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_256,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_256,refute_0_109]) ).
cnf(refute_0_258,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_259,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_258,refute_0_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP070-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 19:48:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.98/1.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/1.17
% 0.98/1.17 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.01/1.20
%------------------------------------------------------------------------------