TSTP Solution File: GRP097-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP097-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 10:34:43 EDT 2022
% Result : Unsatisfiable 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 103
% Syntax : Number of clauses : 410 ( 212 unt; 0 nHn; 217 RR)
% Number of literals : 705 ( 704 equ; 305 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 949 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y ).
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))
| multiply(a4,b4) != multiply(b4,a4) ) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(X,Y) != divide(X,inverse(Y))
| divide(X,inverse(Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(divide(X,inverse(Y))))]]) ).
cnf(refute_0_4,plain,
divide(X,inverse(Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),divide(X,inverse(Y))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = multiply(X,divide(divide(Y,Z),divide(X,Z))),
inference(subst,[],[refute_0_4:[bind(Y,$fot(divide(divide(Y,Z),divide(X,Z))))]]) ).
cnf(refute_0_6,plain,
( divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) != Y
| divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) != multiply(X,divide(divide(Y,Z),divide(X,Z)))
| multiply(X,divide(divide(Y,Z),divide(X,Z))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))),Y) ),[0],$fot(multiply(X,divide(divide(Y,Z),divide(X,Z))))]]) ).
cnf(refute_0_7,plain,
( divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) != Y
| multiply(X,divide(divide(Y,Z),divide(X,Z))) = Y ),
inference(resolve,[$cnf( $equal(divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))),multiply(X,divide(divide(Y,Z),divide(X,Z)))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(X,divide(divide(Y,Z),divide(X,Z))) = Y,
inference(resolve,[$cnf( $equal(divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))),Y) )],[single_axiom,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(X_2,divide(divide(X_3,inverse(Y)),divide(X_2,inverse(Y)))) = X_3,
inference(subst,[],[refute_0_8:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(inverse(Y)))]]) ).
cnf(refute_0_10,plain,
multiply(X_2,Y) = divide(X_2,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_2))]]) ).
cnf(refute_0_11,plain,
( multiply(X_2,Y) != divide(X_2,inverse(Y))
| divide(X_2,inverse(Y)) = multiply(X_2,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,Y))),bind(Y0,$fot(divide(X_2,inverse(Y))))]]) ).
cnf(refute_0_12,plain,
divide(X_2,inverse(Y)) = multiply(X_2,Y),
inference(resolve,[$cnf( $equal(multiply(X_2,Y),divide(X_2,inverse(Y))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(X_2,divide(divide(X_3,inverse(Y)),divide(X_2,inverse(Y)))) != X_3
| divide(X_2,inverse(Y)) != multiply(X_2,Y)
| multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),divide(X_2,inverse(Y)))),X_3) ),[0,1,1],$fot(multiply(X_2,Y))]]) ).
cnf(refute_0_14,plain,
( multiply(X_2,divide(divide(X_3,inverse(Y)),divide(X_2,inverse(Y)))) != X_3
| multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = X_3 ),
inference(resolve,[$cnf( $equal(divide(X_2,inverse(Y)),multiply(X_2,Y)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),divide(X_2,inverse(Y)))),X_3) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(X_3,inverse(Y)) = multiply(X_3,Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_17,plain,
divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) = divide(divide(X_3,inverse(Y)),multiply(X_2,Y)),
introduced(tautology,[refl,[$fot(divide(divide(X_3,inverse(Y)),multiply(X_2,Y)))]]) ).
cnf(refute_0_18,plain,
( divide(X_3,inverse(Y)) != multiply(X_3,Y)
| divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) != divide(divide(X_3,inverse(Y)),multiply(X_2,Y))
| divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) = divide(multiply(X_3,Y),multiply(X_2,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,inverse(Y)),multiply(X_2,Y)),divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) ),[1,0],$fot(multiply(X_3,Y))]]) ).
cnf(refute_0_19,plain,
( divide(X_3,inverse(Y)) != multiply(X_3,Y)
| divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) = divide(multiply(X_3,Y),multiply(X_2,Y)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,inverse(Y)),multiply(X_2,Y)),divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) = divide(multiply(X_3,Y),multiply(X_2,Y)),
inference(resolve,[$cnf( $equal(divide(X_3,inverse(Y)),multiply(X_3,Y)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))))]]) ).
cnf(refute_0_22,plain,
( multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) != multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y)))
| divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) != divide(multiply(X_3,Y),multiply(X_2,Y))
| multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))),multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y)))) ),[1,1],$fot(divide(multiply(X_3,Y),multiply(X_2,Y)))]]) ).
cnf(refute_0_23,plain,
( divide(divide(X_3,inverse(Y)),multiply(X_2,Y)) != divide(multiply(X_3,Y),multiply(X_2,Y))
| multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))),multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) = multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))),
inference(resolve,[$cnf( $equal(divide(divide(X_3,inverse(Y)),multiply(X_2,Y)),divide(multiply(X_3,Y),multiply(X_2,Y))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) != X_3
| multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) != multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y)))
| multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))),X_3) ),[0],$fot(multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))))]]) ).
cnf(refute_0_26,plain,
( multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))) != X_3
| multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))),multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(X_2,divide(multiply(X_3,Y),multiply(X_2,Y))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(Y)),multiply(X_2,Y))),X_3) )],[refute_0_15,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(X_2,divide(multiply(X_3,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))) = X_3,
inference(subst,[],[refute_0_27:[bind(Y,$fot(divide(X_24,X_24)))]]) ).
cnf(refute_0_29,plain,
multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))) = X_3,
inference(subst,[],[refute_0_27:[bind(Y,$fot(divide(multiply(X_7,X_5),multiply(X_3,X_5))))]]) ).
cnf(refute_0_30,plain,
multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))) = X_7,
inference(subst,[],[refute_0_27:[bind(Y,$fot(X_5)),bind(X_2,$fot(X_3)),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_31,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))) != X_3
| multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))) != X_7
| multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))),X_3) ),[0,1,0],$fot(X_7)]]) ).
cnf(refute_0_32,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))),X_7) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_3,X_5))))),X_3) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(X_9,divide(X_11,multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))))) = X_9,
inference(subst,[],[refute_0_33:[bind(X_2,$fot(X_9)),bind(X_3,$fot(X_9)),bind(X_5,$fot(X_10)),bind(X_7,$fot(X_11))]]) ).
cnf(refute_0_35,plain,
multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))) = X_11,
inference(subst,[],[refute_0_27:[bind(Y,$fot(X_10)),bind(X_2,$fot(X_9)),bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_36,plain,
( multiply(X_9,divide(X_11,multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))))) != X_9
| multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))) != X_11
| multiply(X_9,divide(X_11,X_11)) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_9,divide(X_11,multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))))),X_9) ),[0,1,1],$fot(X_11)]]) ).
cnf(refute_0_37,plain,
( multiply(X_9,divide(X_11,multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))))) != X_9
| multiply(X_9,divide(X_11,X_11)) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))),X_11) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(X_9,divide(X_11,X_11)) = X_9,
inference(resolve,[$cnf( $equal(multiply(X_9,divide(X_11,multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))))),X_9) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(X_3,divide(X_24,X_24)) = X_3,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_24)),bind(X_9,$fot(X_3))]]) ).
cnf(refute_0_40,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))) != X_3
| multiply(X_3,divide(X_24,X_24)) != X_3
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_3) ),[0,1,0],$fot(X_3)]]) ).
cnf(refute_0_41,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))) != X_3
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_24,X_24)),X_3) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_3) )],[refute_0_28,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(X_2,divide(X_24,X_24)) = X_2,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_24)),bind(X_9,$fot(X_2))]]) ).
cnf(refute_0_44,plain,
divide(X_3,multiply(X_2,divide(X_24,X_24))) = divide(X_3,multiply(X_2,divide(X_24,X_24))),
introduced(tautology,[refl,[$fot(divide(X_3,multiply(X_2,divide(X_24,X_24))))]]) ).
cnf(refute_0_45,plain,
( multiply(X_2,divide(X_24,X_24)) != X_2
| divide(X_3,multiply(X_2,divide(X_24,X_24))) != divide(X_3,multiply(X_2,divide(X_24,X_24)))
| divide(X_3,multiply(X_2,divide(X_24,X_24))) = divide(X_3,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,multiply(X_2,divide(X_24,X_24))),divide(X_3,multiply(X_2,divide(X_24,X_24)))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_46,plain,
( multiply(X_2,divide(X_24,X_24)) != X_2
| divide(X_3,multiply(X_2,divide(X_24,X_24))) = divide(X_3,X_2) ),
inference(resolve,[$cnf( $equal(divide(X_3,multiply(X_2,divide(X_24,X_24))),divide(X_3,multiply(X_2,divide(X_24,X_24)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(X_3,multiply(X_2,divide(X_24,X_24))) = divide(X_3,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_24,X_24)),X_2) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))))]]) ).
cnf(refute_0_49,plain,
( multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) != multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24))))
| divide(X_3,multiply(X_2,divide(X_24,X_24))) != divide(X_3,X_2)
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = multiply(X_2,divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))),multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24))))) ),[1,1],$fot(divide(X_3,X_2))]]) ).
cnf(refute_0_50,plain,
( divide(X_3,multiply(X_2,divide(X_24,X_24))) != divide(X_3,X_2)
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = multiply(X_2,divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))),multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) = multiply(X_2,divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(divide(X_3,multiply(X_2,divide(X_24,X_24))),divide(X_3,X_2)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) != X_3
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) != multiply(X_2,divide(X_3,X_2))
| multiply(X_2,divide(X_3,X_2)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))),X_3) ),[0],$fot(multiply(X_2,divide(X_3,X_2)))]]) ).
cnf(refute_0_53,plain,
( multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))) != X_3
| multiply(X_2,divide(X_3,X_2)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))),multiply(X_2,divide(X_3,X_2))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(X_2,divide(X_3,X_2)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_24,X_24)))),X_3) )],[refute_0_42,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(inverse(Y),divide(X_31,inverse(Y))) = X_31,
inference(subst,[],[refute_0_54:[bind(X_2,$fot(inverse(Y))),bind(X_3,$fot(X_31))]]) ).
cnf(refute_0_56,plain,
multiply(X_31,Y) = divide(X_31,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_31))]]) ).
cnf(refute_0_57,plain,
( multiply(X_31,Y) != divide(X_31,inverse(Y))
| divide(X_31,inverse(Y)) = multiply(X_31,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_31,Y))),bind(Y0,$fot(divide(X_31,inverse(Y))))]]) ).
cnf(refute_0_58,plain,
divide(X_31,inverse(Y)) = multiply(X_31,Y),
inference(resolve,[$cnf( $equal(multiply(X_31,Y),divide(X_31,inverse(Y))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( multiply(inverse(Y),divide(X_31,inverse(Y))) != X_31
| divide(X_31,inverse(Y)) != multiply(X_31,Y)
| multiply(inverse(Y),multiply(X_31,Y)) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),divide(X_31,inverse(Y))),X_31) ),[0,1],$fot(multiply(X_31,Y))]]) ).
cnf(refute_0_60,plain,
( multiply(inverse(Y),divide(X_31,inverse(Y))) != X_31
| multiply(inverse(Y),multiply(X_31,Y)) = X_31 ),
inference(resolve,[$cnf( $equal(divide(X_31,inverse(Y)),multiply(X_31,Y)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(inverse(Y),multiply(X_31,Y)) = X_31,
inference(resolve,[$cnf( $equal(multiply(inverse(Y),divide(X_31,inverse(Y))),X_31) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
multiply(inverse(Y),multiply(inverse(divide(Y,X_41)),Y)) = inverse(divide(Y,X_41)),
inference(subst,[],[refute_0_61:[bind(X_31,$fot(inverse(divide(Y,X_41))))]]) ).
cnf(refute_0_63,plain,
multiply(inverse(divide(X_3,X_39)),multiply(X_39,divide(X_3,X_39))) = X_39,
inference(subst,[],[refute_0_61:[bind(Y,$fot(divide(X_3,X_39))),bind(X_31,$fot(X_39))]]) ).
cnf(refute_0_64,plain,
multiply(X_39,divide(X_3,X_39)) = X_3,
inference(subst,[],[refute_0_54:[bind(X_2,$fot(X_39))]]) ).
cnf(refute_0_65,plain,
( multiply(X_39,divide(X_3,X_39)) != X_3
| multiply(inverse(divide(X_3,X_39)),multiply(X_39,divide(X_3,X_39))) != X_39
| multiply(inverse(divide(X_3,X_39)),X_3) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_3,X_39)),multiply(X_39,divide(X_3,X_39))),X_39) ),[0,1],$fot(X_3)]]) ).
cnf(refute_0_66,plain,
( multiply(inverse(divide(X_3,X_39)),multiply(X_39,divide(X_3,X_39))) != X_39
| multiply(inverse(divide(X_3,X_39)),X_3) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(X_39,divide(X_3,X_39)),X_3) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(inverse(divide(X_3,X_39)),X_3) = X_39,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_3,X_39)),multiply(X_39,divide(X_3,X_39))),X_39) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(inverse(divide(Y,X_41)),Y) = X_41,
inference(subst,[],[refute_0_67:[bind(X_3,$fot(Y)),bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_69,plain,
( multiply(inverse(Y),multiply(inverse(divide(Y,X_41)),Y)) != inverse(divide(Y,X_41))
| multiply(inverse(divide(Y,X_41)),Y) != X_41
| multiply(inverse(Y),X_41) = inverse(divide(Y,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(divide(Y,X_41)),Y)),inverse(divide(Y,X_41))) ),[0,1],$fot(X_41)]]) ).
cnf(refute_0_70,plain,
( multiply(inverse(Y),multiply(inverse(divide(Y,X_41)),Y)) != inverse(divide(Y,X_41))
| multiply(inverse(Y),X_41) = inverse(divide(Y,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_41)),Y),X_41) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(Y),X_41) = inverse(divide(Y,X_41)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(inverse(divide(Y,X_41)),Y)),inverse(divide(Y,X_41))) )],[refute_0_62,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(inverse(a1),a1) = inverse(divide(a1,a1)),
inference(subst,[],[refute_0_71:[bind(Y,$fot(a1)),bind(X_41,$fot(a1))]]) ).
cnf(refute_0_73,plain,
( multiply(inverse(a1),a1) != inverse(divide(a1,a1))
| inverse(divide(a1,a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(inverse(divide(a1,a1)))]]) ).
cnf(refute_0_74,plain,
( inverse(divide(a1,a1)) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),inverse(divide(a1,a1))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(inverse(b1),b1) = inverse(divide(b1,b1)),
inference(subst,[],[refute_0_71:[bind(Y,$fot(b1)),bind(X_41,$fot(b1))]]) ).
cnf(refute_0_76,plain,
( multiply(inverse(b1),b1) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(divide(a1,a1)),multiply(inverse(b1),b1)) ),[1],$fot(inverse(divide(b1,b1)))]]) ).
cnf(refute_0_77,plain,
( inverse(divide(a1,a1)) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(b1),b1),inverse(divide(b1,b1))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( inverse(divide(a1,a1)) != inverse(divide(b1,b1))
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(inverse(divide(a1,a1)),multiply(inverse(b1),b1)) )],[refute_0_77,refute_0_74]) ).
cnf(refute_0_79,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4)
| inverse(divide(a1,a1)) != inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_78,prove_these_axioms]) ).
cnf(refute_0_80,plain,
multiply(b2,divide(a2,b2)) = a2,
inference(subst,[],[refute_0_54:[bind(X_2,$fot(b2)),bind(X_3,$fot(a2))]]) ).
cnf(refute_0_81,plain,
multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))))) = X_3,
inference(subst,[],[refute_0_27:[bind(Y,$fot(divide(multiply(X_7,X_5),multiply(X_2,X_5))))]]) ).
cnf(refute_0_82,plain,
multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))) = X_7,
inference(subst,[],[refute_0_27:[bind(Y,$fot(X_5)),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_83,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))))) != X_3
| multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))) != X_7
| multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),X_7)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))))),X_3) ),[0,1,1],$fot(X_7)]]) ).
cnf(refute_0_84,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))))) != X_3
| multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),X_7)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))),X_7) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),X_7)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,X_5),multiply(X_2,X_5))),multiply(X_2,divide(multiply(X_7,X_5),multiply(X_2,X_5))))),X_3) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_7)) = X_3,
inference(subst,[],[refute_0_85:[bind(X_5,$fot(divide(X_24,X_24)))]]) ).
cnf(refute_0_87,plain,
multiply(X_7,divide(X_24,X_24)) = X_7,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_24)),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_88,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_7)) != X_3
| multiply(X_7,divide(X_24,X_24)) != X_7
| multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_7)),X_3) ),[0,1,0,1,0],$fot(X_7)]]) ).
cnf(refute_0_89,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_7)) != X_3
| multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_7,divide(X_24,X_24)),X_7) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_2,divide(X_24,X_24)))),X_7)),X_3) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(X_7,multiply(X_2,divide(X_24,X_24))) = divide(X_7,multiply(X_2,divide(X_24,X_24))),
introduced(tautology,[refl,[$fot(divide(X_7,multiply(X_2,divide(X_24,X_24))))]]) ).
cnf(refute_0_92,plain,
( multiply(X_2,divide(X_24,X_24)) != X_2
| divide(X_7,multiply(X_2,divide(X_24,X_24))) != divide(X_7,multiply(X_2,divide(X_24,X_24)))
| divide(X_7,multiply(X_2,divide(X_24,X_24))) = divide(X_7,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_24,X_24))),divide(X_7,multiply(X_2,divide(X_24,X_24)))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_93,plain,
( multiply(X_2,divide(X_24,X_24)) != X_2
| divide(X_7,multiply(X_2,divide(X_24,X_24))) = divide(X_7,X_2) ),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_24,X_24))),divide(X_7,multiply(X_2,divide(X_24,X_24)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
divide(X_7,multiply(X_2,divide(X_24,X_24))) = divide(X_7,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_24,X_24)),X_2) )],[refute_0_43,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) = multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),
introduced(tautology,[refl,[$fot(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))))]]) ).
cnf(refute_0_96,plain,
( multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) != multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24))))
| divide(X_7,multiply(X_2,divide(X_24,X_24))) != divide(X_7,X_2)
| multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) = multiply(X_3,divide(X_7,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24))))) ),[1,1],$fot(divide(X_7,X_2))]]) ).
cnf(refute_0_97,plain,
( divide(X_7,multiply(X_2,divide(X_24,X_24))) != divide(X_7,X_2)
| multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) = multiply(X_3,divide(X_7,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) = multiply(X_3,divide(X_7,X_2)),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_24,X_24))),divide(X_7,X_2)) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) = divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7),
introduced(tautology,[refl,[$fot(divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7))]]) ).
cnf(refute_0_100,plain,
( multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) != multiply(X_3,divide(X_7,X_2))
| divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) != divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)
| divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) = divide(multiply(X_3,divide(X_7,X_2)),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7),divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) ),[1,0],$fot(multiply(X_3,divide(X_7,X_2)))]]) ).
cnf(refute_0_101,plain,
( multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))) != multiply(X_3,divide(X_7,X_2))
| divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) = divide(multiply(X_3,divide(X_7,X_2)),X_7) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7),divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) = divide(multiply(X_3,divide(X_7,X_2)),X_7),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),multiply(X_3,divide(X_7,X_2))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)))]]) ).
cnf(refute_0_104,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) != multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7))
| divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) != divide(multiply(X_3,divide(X_7,X_2)),X_7)
| multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)),multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7))) ),[1,1],$fot(divide(multiply(X_3,divide(X_7,X_2)),X_7))]]) ).
cnf(refute_0_105,plain,
( divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7) != divide(multiply(X_3,divide(X_7,X_2)),X_7)
| multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)),multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) = multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7),divide(multiply(X_3,divide(X_7,X_2)),X_7)) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) != X_3
| multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) != multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7))
| multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)),X_3) ),[0],$fot(multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)))]]) ).
cnf(refute_0_108,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)) != X_3
| multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)),multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(X_2,divide(multiply(X_3,divide(X_7,X_2)),X_7)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_7,multiply(X_2,divide(X_24,X_24)))),X_7)),X_3) )],[refute_0_90,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_2,divide(multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)),X_7)) = inverse(divide(divide(X_7,X_2),X_41)),
inference(subst,[],[refute_0_109:[bind(X_3,$fot(inverse(divide(divide(X_7,X_2),X_41))))]]) ).
cnf(refute_0_111,plain,
multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)) = X_41,
inference(subst,[],[refute_0_67:[bind(X_3,$fot(divide(X_7,X_2))),bind(X_39,$fot(X_41))]]) ).
cnf(refute_0_112,plain,
( multiply(X_2,divide(multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)),X_7)) != inverse(divide(divide(X_7,X_2),X_41))
| multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)) != X_41
| multiply(X_2,divide(X_41,X_7)) = inverse(divide(divide(X_7,X_2),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)),X_7)),inverse(divide(divide(X_7,X_2),X_41))) ),[0,1,0],$fot(X_41)]]) ).
cnf(refute_0_113,plain,
( multiply(X_2,divide(multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)),X_7)) != inverse(divide(divide(X_7,X_2),X_41))
| multiply(X_2,divide(X_41,X_7)) = inverse(divide(divide(X_7,X_2),X_41)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)),X_41) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(X_2,divide(X_41,X_7)) = inverse(divide(divide(X_7,X_2),X_41)),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(inverse(divide(divide(X_7,X_2),X_41)),divide(X_7,X_2)),X_7)),inverse(divide(divide(X_7,X_2),X_41))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
( multiply(X_2,divide(X_41,X_7)) != inverse(divide(divide(X_7,X_2),X_41))
| inverse(divide(divide(X_7,X_2),X_41)) = multiply(X_2,divide(X_41,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,divide(X_41,X_7)))),bind(Y0,$fot(inverse(divide(divide(X_7,X_2),X_41))))]]) ).
cnf(refute_0_116,plain,
inverse(divide(divide(X_7,X_2),X_41)) = multiply(X_2,divide(X_41,X_7)),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_41,X_7)),inverse(divide(divide(X_7,X_2),X_41))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
inverse(divide(divide(b2,b2),a2)) = multiply(b2,divide(a2,b2)),
inference(subst,[],[refute_0_116:[bind(X_2,$fot(b2)),bind(X_41,$fot(a2)),bind(X_7,$fot(b2))]]) ).
cnf(refute_0_118,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_119,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_118]) ).
cnf(refute_0_120,plain,
( multiply(b2,divide(a2,b2)) != a2
| inverse(divide(divide(b2,b2),a2)) != multiply(b2,divide(a2,b2))
| inverse(divide(divide(b2,b2),a2)) = a2 ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(inverse(divide(divide(b2,b2),a2)))),bind(Y0,$fot(multiply(b2,divide(a2,b2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_121,plain,
( multiply(b2,divide(a2,b2)) != a2
| inverse(divide(divide(b2,b2),a2)) = a2 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(b2,b2),a2)),multiply(b2,divide(a2,b2))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
inverse(divide(divide(b2,b2),a2)) = a2,
inference(resolve,[$cnf( $equal(multiply(b2,divide(a2,b2)),a2) )],[refute_0_80,refute_0_121]) ).
cnf(refute_0_123,plain,
multiply(inverse(divide(b2,b2)),a2) = inverse(divide(divide(b2,b2),a2)),
inference(subst,[],[refute_0_71:[bind(Y,$fot(divide(b2,b2))),bind(X_41,$fot(a2))]]) ).
cnf(refute_0_124,plain,
( multiply(inverse(divide(b2,b2)),a2) != inverse(divide(divide(b2,b2),a2))
| inverse(divide(divide(b2,b2),a2)) != a2
| multiply(inverse(divide(b2,b2)),a2) = a2 ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(multiply(inverse(divide(b2,b2)),a2))),bind(Y0,$fot(inverse(divide(divide(b2,b2),a2)))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_125,plain,
( inverse(divide(divide(b2,b2),a2)) != a2
| multiply(inverse(divide(b2,b2)),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(b2,b2)),a2),inverse(divide(divide(b2,b2),a2))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(inverse(divide(b2,b2)),a2) = a2,
inference(resolve,[$cnf( $equal(inverse(divide(divide(b2,b2),a2)),a2) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(inverse(b2),b2) = inverse(divide(b2,b2)),
inference(subst,[],[refute_0_71:[bind(Y,$fot(b2)),bind(X_41,$fot(b2))]]) ).
cnf(refute_0_128,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(multiply(inverse(b2),b2),a2),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(b2),b2),a2))]]) ).
cnf(refute_0_129,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(b2),b2) != inverse(divide(b2,b2))
| multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(divide(b2,b2)),a2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(inverse(b2),b2),a2)) ),[1,0],$fot(inverse(divide(b2,b2)))]]) ).
cnf(refute_0_130,plain,
( multiply(inverse(b2),b2) != inverse(divide(b2,b2))
| multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(divide(b2,b2)),a2) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(multiply(inverse(b2),b2),a2)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(multiply(inverse(b2),b2),a2) = multiply(inverse(divide(b2,b2)),a2),
inference(resolve,[$cnf( $equal(multiply(inverse(b2),b2),inverse(divide(b2,b2))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
( multiply(multiply(inverse(b2),b2),a2) != multiply(inverse(divide(b2,b2)),a2)
| multiply(inverse(divide(b2,b2)),a2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(multiply(multiply(inverse(b2),b2),a2))),bind(Y0,$fot(multiply(inverse(divide(b2,b2)),a2))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(divide(b2,b2)),a2) != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),multiply(inverse(divide(b2,b2)),a2)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(b2,b2)),a2),a2) )],[refute_0_126,refute_0_133]) ).
cnf(refute_0_135,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_136,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2
| inverse(divide(a1,a1)) != inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_136,refute_0_79]) ).
cnf(refute_0_138,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_139,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| inverse(divide(a1,a1)) != inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_138,refute_0_137]) ).
cnf(refute_0_140,plain,
multiply(inverse(divide(X_40,inverse(Y))),X_40) = inverse(Y),
inference(subst,[],[refute_0_67:[bind(X_3,$fot(X_40)),bind(X_39,$fot(inverse(Y)))]]) ).
cnf(refute_0_141,plain,
multiply(X_40,Y) = divide(X_40,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_40))]]) ).
cnf(refute_0_142,plain,
( multiply(X_40,Y) != divide(X_40,inverse(Y))
| divide(X_40,inverse(Y)) = multiply(X_40,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_40,Y))),bind(Y0,$fot(divide(X_40,inverse(Y))))]]) ).
cnf(refute_0_143,plain,
divide(X_40,inverse(Y)) = multiply(X_40,Y),
inference(resolve,[$cnf( $equal(multiply(X_40,Y),divide(X_40,inverse(Y))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiply(inverse(divide(X_40,inverse(Y))),X_40) != inverse(Y)
| divide(X_40,inverse(Y)) != multiply(X_40,Y)
| multiply(inverse(multiply(X_40,Y)),X_40) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_40,inverse(Y))),X_40),inverse(Y)) ),[0,0,0],$fot(multiply(X_40,Y))]]) ).
cnf(refute_0_145,plain,
( multiply(inverse(divide(X_40,inverse(Y))),X_40) != inverse(Y)
| multiply(inverse(multiply(X_40,Y)),X_40) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_40,inverse(Y)),multiply(X_40,Y)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(inverse(multiply(X_40,Y)),X_40) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_40,inverse(Y))),X_40),inverse(Y)) )],[refute_0_140,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(inverse(multiply(X_40,Y)),X_40) = inverse(divide(multiply(X_40,Y),X_40)),
inference(subst,[],[refute_0_71:[bind(Y,$fot(multiply(X_40,Y))),bind(X_41,$fot(X_40))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(multiply(X_40,Y)),X_40) != inverse(Y)
| multiply(inverse(multiply(X_40,Y)),X_40) != inverse(divide(multiply(X_40,Y),X_40))
| inverse(divide(multiply(X_40,Y),X_40)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_40,Y)),X_40),inverse(Y)) ),[0],$fot(inverse(divide(multiply(X_40,Y),X_40)))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(multiply(X_40,Y)),X_40) != inverse(Y)
| inverse(divide(multiply(X_40,Y),X_40)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,Y)),X_40),inverse(divide(multiply(X_40,Y),X_40))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
inverse(divide(multiply(X_40,Y),X_40)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,Y)),X_40),inverse(Y)) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
inverse(divide(multiply(X_40,inverse(divide(X_40,X_90))),X_40)) = inverse(inverse(divide(X_40,X_90))),
inference(subst,[],[refute_0_150:[bind(Y,$fot(inverse(divide(X_40,X_90))))]]) ).
cnf(refute_0_152,plain,
multiply(multiply(X_3,X_5),divide(X_7,multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))))) = X_3,
inference(subst,[],[refute_0_33:[bind(X_2,$fot(multiply(X_3,X_5)))]]) ).
cnf(refute_0_153,plain,
multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))) = multiply(X_7,X_5),
inference(subst,[],[refute_0_54:[bind(X_2,$fot(multiply(X_3,X_5))),bind(X_3,$fot(multiply(X_7,X_5)))]]) ).
cnf(refute_0_154,plain,
( multiply(multiply(X_3,X_5),divide(X_7,multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))))) != X_3
| multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))) != multiply(X_7,X_5)
| multiply(multiply(X_3,X_5),divide(X_7,multiply(X_7,X_5))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_3,X_5),divide(X_7,multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))))),X_3) ),[0,1,1],$fot(multiply(X_7,X_5))]]) ).
cnf(refute_0_155,plain,
( multiply(multiply(X_3,X_5),divide(X_7,multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))))) != X_3
| multiply(multiply(X_3,X_5),divide(X_7,multiply(X_7,X_5))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))),multiply(X_7,X_5)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(multiply(X_3,X_5),divide(X_7,multiply(X_7,X_5))) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(X_3,X_5),divide(X_7,multiply(multiply(X_3,X_5),divide(multiply(X_7,X_5),multiply(X_3,X_5))))),X_3) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(multiply(X_71,X_72),divide(inverse(Y),multiply(inverse(Y),X_72))) = X_71,
inference(subst,[],[refute_0_156:[bind(X_3,$fot(X_71)),bind(X_5,$fot(X_72)),bind(X_7,$fot(inverse(Y)))]]) ).
cnf(refute_0_158,plain,
multiply(inverse(Y),X_72) = inverse(divide(Y,X_72)),
inference(subst,[],[refute_0_71:[bind(X_41,$fot(X_72))]]) ).
cnf(refute_0_159,plain,
( multiply(multiply(X_71,X_72),divide(inverse(Y),multiply(inverse(Y),X_72))) != X_71
| multiply(inverse(Y),X_72) != inverse(divide(Y,X_72))
| multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = X_71 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),multiply(inverse(Y),X_72))),X_71) ),[0,1,1],$fot(inverse(divide(Y,X_72)))]]) ).
cnf(refute_0_160,plain,
( multiply(multiply(X_71,X_72),divide(inverse(Y),multiply(inverse(Y),X_72))) != X_71
| multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = X_71 ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),X_72),inverse(divide(Y,X_72))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = X_71,
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),multiply(inverse(Y),X_72))),X_71) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_3,divide(X_24,X_24)))))) = X_3,
inference(subst,[],[refute_0_33:[bind(X_5,$fot(divide(X_24,X_24)))]]) ).
cnf(refute_0_163,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_3,divide(X_24,X_24)))))) != X_3
| multiply(X_7,divide(X_24,X_24)) != X_7
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_3,divide(X_24,X_24)))))),X_3) ),[0,1,1,1,0],$fot(X_7)]]) ).
cnf(refute_0_164,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_3,divide(X_24,X_24)))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_7,divide(X_24,X_24)),X_7) )],[refute_0_87,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_24,X_24)),multiply(X_3,divide(X_24,X_24)))))),X_3) )],[refute_0_162,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(X_7,multiply(X_3,divide(X_24,X_24))) = divide(X_7,multiply(X_3,divide(X_24,X_24))),
introduced(tautology,[refl,[$fot(divide(X_7,multiply(X_3,divide(X_24,X_24))))]]) ).
cnf(refute_0_167,plain,
( multiply(X_3,divide(X_24,X_24)) != X_3
| divide(X_7,multiply(X_3,divide(X_24,X_24))) != divide(X_7,multiply(X_3,divide(X_24,X_24)))
| divide(X_7,multiply(X_3,divide(X_24,X_24))) = divide(X_7,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,multiply(X_3,divide(X_24,X_24))),divide(X_7,multiply(X_3,divide(X_24,X_24)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_168,plain,
( multiply(X_3,divide(X_24,X_24)) != X_3
| divide(X_7,multiply(X_3,divide(X_24,X_24))) = divide(X_7,X_3) ),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_3,divide(X_24,X_24))),divide(X_7,multiply(X_3,divide(X_24,X_24)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
divide(X_7,multiply(X_3,divide(X_24,X_24))) = divide(X_7,X_3),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_24,X_24)),X_3) )],[refute_0_39,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) = multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))]]) ).
cnf(refute_0_171,plain,
( multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) != multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))
| divide(X_7,multiply(X_3,divide(X_24,X_24))) != divide(X_7,X_3)
| multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) = multiply(X_2,divide(X_7,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))),multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) ),[1,1],$fot(divide(X_7,X_3))]]) ).
cnf(refute_0_172,plain,
( divide(X_7,multiply(X_3,divide(X_24,X_24))) != divide(X_7,X_3)
| multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) = multiply(X_2,divide(X_7,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))),multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) = multiply(X_2,divide(X_7,X_3)),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_3,divide(X_24,X_24))),divide(X_7,X_3)) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) = divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))),
introduced(tautology,[refl,[$fot(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))))]]) ).
cnf(refute_0_175,plain,
( multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) != multiply(X_2,divide(X_7,X_3))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) != divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) = divide(X_7,multiply(X_2,divide(X_7,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))),divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) ),[1,1],$fot(multiply(X_2,divide(X_7,X_3)))]]) ).
cnf(refute_0_176,plain,
( multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))) != multiply(X_2,divide(X_7,X_3))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) = divide(X_7,multiply(X_2,divide(X_7,X_3))) ),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))),divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) = divide(X_7,multiply(X_2,divide(X_7,X_3))),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))),multiply(X_2,divide(X_7,X_3))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))))]]) ).
cnf(refute_0_179,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) != multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) != divide(X_7,multiply(X_2,divide(X_7,X_3)))
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))),multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))))) ),[1,1],$fot(divide(X_7,multiply(X_2,divide(X_7,X_3))))]]) ).
cnf(refute_0_180,plain,
( divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))) != divide(X_7,multiply(X_2,divide(X_7,X_3)))
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))),multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24))))),divide(X_7,multiply(X_2,divide(X_7,X_3)))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) != multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3))))
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))),X_3) ),[0],$fot(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))))]]) ).
cnf(refute_0_183,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))),multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3))))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_24,X_24)))))),X_3) )],[refute_0_165,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))))) = multiply(X_7,divide(X_2,X_51)),
inference(subst,[],[refute_0_184:[bind(X_3,$fot(multiply(X_7,divide(X_2,X_51))))]]) ).
cnf(refute_0_186,plain,
multiply(X_2,divide(multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)),multiply(X_33,divide(X_2,X_3)))) = X_3,
inference(subst,[],[refute_0_109:[bind(X_7,$fot(multiply(X_33,divide(X_2,X_3))))]]) ).
cnf(refute_0_187,plain,
multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)) = X_33,
inference(subst,[],[refute_0_109:[bind(X_2,$fot(X_3)),bind(X_3,$fot(X_33)),bind(X_7,$fot(X_2))]]) ).
cnf(refute_0_188,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)),multiply(X_33,divide(X_2,X_3)))) != X_3
| multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)) != X_33
| multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,X_3)))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)),multiply(X_33,divide(X_2,X_3)))),X_3) ),[0,1,0],$fot(X_33)]]) ).
cnf(refute_0_189,plain,
( multiply(X_2,divide(multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)),multiply(X_33,divide(X_2,X_3)))) != X_3
| multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,X_3)))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)),X_33) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,X_3)))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(multiply(X_33,divide(X_2,X_3)),X_2)),multiply(X_33,divide(X_2,X_3)))),X_3) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))) = X_51,
inference(subst,[],[refute_0_190:[bind(X_3,$fot(X_51)),bind(X_33,$fot(X_7))]]) ).
cnf(refute_0_192,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))))) != multiply(X_7,divide(X_2,X_51))
| multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))) != X_51
| multiply(X_2,divide(X_7,X_51)) = multiply(X_7,divide(X_2,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))))),multiply(X_7,divide(X_2,X_51))) ),[0,1,1],$fot(X_51)]]) ).
cnf(refute_0_193,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))))) != multiply(X_7,divide(X_2,X_51))
| multiply(X_2,divide(X_7,X_51)) = multiply(X_7,divide(X_2,X_51)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))),X_51) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(X_2,divide(X_7,X_51)) = multiply(X_7,divide(X_2,X_51)),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_7,divide(X_2,X_51)))))),multiply(X_7,divide(X_2,X_51))) )],[refute_0_185,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(X_2,divide(X_7,X_51)) != multiply(X_7,divide(X_2,X_51))
| multiply(X_7,divide(X_2,X_51)) = multiply(X_2,divide(X_7,X_51)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,divide(X_7,X_51)))),bind(Y0,$fot(multiply(X_7,divide(X_2,X_51))))]]) ).
cnf(refute_0_196,plain,
multiply(X_7,divide(X_2,X_51)) = multiply(X_2,divide(X_7,X_51)),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,X_51)),multiply(X_7,divide(X_2,X_51))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(Y),divide(Y,X_72)) = multiply(Y,divide(inverse(Y),X_72)),
inference(subst,[],[refute_0_196:[bind(X_2,$fot(Y)),bind(X_51,$fot(X_72)),bind(X_7,$fot(inverse(Y)))]]) ).
cnf(refute_0_198,plain,
divide(inverse(Y),inverse(divide(Y,X_72))) = multiply(inverse(Y),divide(Y,X_72)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(Y))),bind(Y,$fot(divide(Y,X_72)))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(Y),divide(Y,X_72)) != multiply(Y,divide(inverse(Y),X_72))
| divide(inverse(Y),inverse(divide(Y,X_72))) != multiply(inverse(Y),divide(Y,X_72))
| divide(inverse(Y),inverse(divide(Y,X_72))) = multiply(Y,divide(inverse(Y),X_72)) ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(divide(inverse(Y),inverse(divide(Y,X_72))))),bind(Y0,$fot(multiply(inverse(Y),divide(Y,X_72)))),bind(Z0,$fot(multiply(Y,divide(inverse(Y),X_72))))]]) ).
cnf(refute_0_200,plain,
( multiply(inverse(Y),divide(Y,X_72)) != multiply(Y,divide(inverse(Y),X_72))
| divide(inverse(Y),inverse(divide(Y,X_72))) = multiply(Y,divide(inverse(Y),X_72)) ),
inference(resolve,[$cnf( $equal(divide(inverse(Y),inverse(divide(Y,X_72))),multiply(inverse(Y),divide(Y,X_72))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
divide(inverse(Y),inverse(divide(Y,X_72))) = multiply(Y,divide(inverse(Y),X_72)),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),divide(Y,X_72)),multiply(Y,divide(inverse(Y),X_72))) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))))]]) ).
cnf(refute_0_203,plain,
( multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) != multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72))))
| divide(inverse(Y),inverse(divide(Y,X_72))) != multiply(Y,divide(inverse(Y),X_72))
| multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))),multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72))))) ),[1,1],$fot(multiply(Y,divide(inverse(Y),X_72)))]]) ).
cnf(refute_0_204,plain,
( divide(inverse(Y),inverse(divide(Y,X_72))) != multiply(Y,divide(inverse(Y),X_72))
| multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))),multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72))))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) = multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))),
inference(resolve,[$cnf( $equal(divide(inverse(Y),inverse(divide(Y,X_72))),multiply(Y,divide(inverse(Y),X_72))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) != X_71
| multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) != multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72)))
| multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))) = X_71 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))),X_71) ),[0],$fot(multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))))]]) ).
cnf(refute_0_207,plain,
( multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))) != X_71
| multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))) = X_71 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))),multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72)))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(multiply(X_71,X_72),multiply(Y,divide(inverse(Y),X_72))) = X_71,
inference(resolve,[$cnf( $equal(multiply(multiply(X_71,X_72),divide(inverse(Y),inverse(divide(Y,X_72)))),X_71) )],[refute_0_161,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(multiply(X_83,X_84),multiply(X_84,divide(inverse(X_84),X_84))) = X_83,
inference(subst,[],[refute_0_208:[bind(Y,$fot(X_84)),bind(X_71,$fot(X_83)),bind(X_72,$fot(X_84))]]) ).
cnf(refute_0_210,plain,
multiply(X_84,divide(inverse(X_84),X_84)) = inverse(X_84),
inference(subst,[],[refute_0_54:[bind(X_2,$fot(X_84)),bind(X_3,$fot(inverse(X_84)))]]) ).
cnf(refute_0_211,plain,
( multiply(X_84,divide(inverse(X_84),X_84)) != inverse(X_84)
| multiply(multiply(X_83,X_84),multiply(X_84,divide(inverse(X_84),X_84))) != X_83
| multiply(multiply(X_83,X_84),inverse(X_84)) = X_83 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_83,X_84),multiply(X_84,divide(inverse(X_84),X_84))),X_83) ),[0,1],$fot(inverse(X_84))]]) ).
cnf(refute_0_212,plain,
( multiply(multiply(X_83,X_84),multiply(X_84,divide(inverse(X_84),X_84))) != X_83
| multiply(multiply(X_83,X_84),inverse(X_84)) = X_83 ),
inference(resolve,[$cnf( $equal(multiply(X_84,divide(inverse(X_84),X_84)),inverse(X_84)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(multiply(X_83,X_84),inverse(X_84)) = X_83,
inference(resolve,[$cnf( $equal(multiply(multiply(X_83,X_84),multiply(X_84,divide(inverse(X_84),X_84))),X_83) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = X_85,
inference(subst,[],[refute_0_213:[bind(X_83,$fot(X_85)),bind(X_84,$fot(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)))]]) ).
cnf(refute_0_215,plain,
multiply(X_32,divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))) = X_33,
inference(subst,[],[refute_0_109:[bind(X_2,$fot(X_32)),bind(X_3,$fot(X_33)),bind(X_7,$fot(inverse(Y)))]]) ).
cnf(refute_0_216,plain,
multiply(multiply(X_33,divide(inverse(Y),X_32)),Y) = divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(multiply(X_33,divide(inverse(Y),X_32))))]]) ).
cnf(refute_0_217,plain,
( multiply(multiply(X_33,divide(inverse(Y),X_32)),Y) != divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))
| divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y)) = multiply(multiply(X_33,divide(inverse(Y),X_32)),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(multiply(X_33,divide(inverse(Y),X_32)),Y))),bind(Y0,$fot(divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))))]]) ).
cnf(refute_0_218,plain,
divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y)) = multiply(multiply(X_33,divide(inverse(Y),X_32)),Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,divide(inverse(Y),X_32)),Y),divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(X_32,divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))) != X_33
| divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y)) != multiply(multiply(X_33,divide(inverse(Y),X_32)),Y)
| multiply(X_32,multiply(multiply(X_33,divide(inverse(Y),X_32)),Y)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_32,divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))),X_33) ),[0,1],$fot(multiply(multiply(X_33,divide(inverse(Y),X_32)),Y))]]) ).
cnf(refute_0_220,plain,
( multiply(X_32,divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))) != X_33
| multiply(X_32,multiply(multiply(X_33,divide(inverse(Y),X_32)),Y)) = X_33 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y)),multiply(multiply(X_33,divide(inverse(Y),X_32)),Y)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(X_32,multiply(multiply(X_33,divide(inverse(Y),X_32)),Y)) = X_33,
inference(resolve,[$cnf( $equal(multiply(X_32,divide(multiply(X_33,divide(inverse(Y),X_32)),inverse(Y))),X_33) )],[refute_0_215,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)) = X_33,
inference(subst,[],[refute_0_221:[bind(X_32,$fot(X_85))]]) ).
cnf(refute_0_223,plain,
( multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)) != X_33
| multiply(multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) != X_85
| multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),X_85) ),[0,0],$fot(X_33)]]) ).
cnf(refute_0_224,plain,
( multiply(multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) != X_85
| multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = X_85 ),
inference(resolve,[$cnf( $equal(multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),X_33) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = X_85,
inference(resolve,[$cnf( $equal(multiply(multiply(X_85,multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),X_85) )],[refute_0_214,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(X_50,divide(X_52,multiply(X_52,divide(X_50,inverse(Y))))) = inverse(Y),
inference(subst,[],[refute_0_190:[bind(X_2,$fot(X_50)),bind(X_3,$fot(inverse(Y))),bind(X_33,$fot(X_52))]]) ).
cnf(refute_0_227,plain,
multiply(X_50,Y) = divide(X_50,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_50))]]) ).
cnf(refute_0_228,plain,
( multiply(X_50,Y) != divide(X_50,inverse(Y))
| divide(X_50,inverse(Y)) = multiply(X_50,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_50,Y))),bind(Y0,$fot(divide(X_50,inverse(Y))))]]) ).
cnf(refute_0_229,plain,
divide(X_50,inverse(Y)) = multiply(X_50,Y),
inference(resolve,[$cnf( $equal(multiply(X_50,Y),divide(X_50,inverse(Y))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(X_50,divide(X_52,multiply(X_52,divide(X_50,inverse(Y))))) != inverse(Y)
| divide(X_50,inverse(Y)) != multiply(X_50,Y)
| multiply(X_50,divide(X_52,multiply(X_52,multiply(X_50,Y)))) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_52,multiply(X_52,divide(X_50,inverse(Y))))),inverse(Y)) ),[0,1,1,1],$fot(multiply(X_50,Y))]]) ).
cnf(refute_0_231,plain,
( multiply(X_50,divide(X_52,multiply(X_52,divide(X_50,inverse(Y))))) != inverse(Y)
| multiply(X_50,divide(X_52,multiply(X_52,multiply(X_50,Y)))) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_50,inverse(Y)),multiply(X_50,Y)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(X_50,divide(X_52,multiply(X_52,multiply(X_50,Y)))) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_52,multiply(X_52,divide(X_50,inverse(Y))))),inverse(Y)) )],[refute_0_226,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))))) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)),
inference(subst,[],[refute_0_232:[bind(Y,$fot(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))),bind(X_50,$fot(X_78)),bind(X_52,$fot(X_79))]]) ).
cnf(refute_0_234,plain,
multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) = X_33,
inference(subst,[],[refute_0_221:[bind(X_32,$fot(X_78))]]) ).
cnf(refute_0_235,plain,
( multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) != X_33
| multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))))) != inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))
| multiply(X_78,divide(X_79,multiply(X_79,X_33))) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))))),inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))) ),[0,1,1,1],$fot(X_33)]]) ).
cnf(refute_0_236,plain,
( multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))))) != inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))
| multiply(X_78,divide(X_79,multiply(X_79,X_33))) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)),X_33) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(X_78,divide(X_79,multiply(X_79,X_33))) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))))),inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7))))) = inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)),
inference(subst,[],[refute_0_232:[bind(Y,$fot(divide(multiply(X_3,divide(X_7,X_78)),X_7))),bind(X_50,$fot(X_78)),bind(X_52,$fot(X_79))]]) ).
cnf(refute_0_239,plain,
multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7)) = X_3,
inference(subst,[],[refute_0_109:[bind(X_2,$fot(X_78))]]) ).
cnf(refute_0_240,plain,
( multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7))))) != inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))
| multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7)) != X_3
| multiply(X_78,divide(X_79,multiply(X_79,X_3))) = inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7))))),inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))) ),[0,1,1,1],$fot(X_3)]]) ).
cnf(refute_0_241,plain,
( multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7))))) != inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))
| multiply(X_78,divide(X_79,multiply(X_79,X_3))) = inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7)),X_3) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(X_78,divide(X_79,multiply(X_79,X_3))) = inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,multiply(X_78,divide(multiply(X_3,divide(X_7,X_78)),X_7))))),inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(X_35,divide(X_37,multiply(X_35,divide(X_37,inverse(Y))))) = inverse(Y),
inference(subst,[],[refute_0_184:[bind(X_2,$fot(X_35)),bind(X_3,$fot(inverse(Y))),bind(X_7,$fot(X_37))]]) ).
cnf(refute_0_244,plain,
multiply(X_37,Y) = divide(X_37,inverse(Y)),
inference(subst,[],[multiply:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_245,plain,
( multiply(X_37,Y) != divide(X_37,inverse(Y))
| divide(X_37,inverse(Y)) = multiply(X_37,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_37,Y))),bind(Y0,$fot(divide(X_37,inverse(Y))))]]) ).
cnf(refute_0_246,plain,
divide(X_37,inverse(Y)) = multiply(X_37,Y),
inference(resolve,[$cnf( $equal(multiply(X_37,Y),divide(X_37,inverse(Y))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( multiply(X_35,divide(X_37,multiply(X_35,divide(X_37,inverse(Y))))) != inverse(Y)
| divide(X_37,inverse(Y)) != multiply(X_37,Y)
| multiply(X_35,divide(X_37,multiply(X_35,multiply(X_37,Y)))) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_35,divide(X_37,multiply(X_35,divide(X_37,inverse(Y))))),inverse(Y)) ),[0,1,1,1],$fot(multiply(X_37,Y))]]) ).
cnf(refute_0_248,plain,
( multiply(X_35,divide(X_37,multiply(X_35,divide(X_37,inverse(Y))))) != inverse(Y)
| multiply(X_35,divide(X_37,multiply(X_35,multiply(X_37,Y)))) = inverse(Y) ),
inference(resolve,[$cnf( $equal(divide(X_37,inverse(Y)),multiply(X_37,Y)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(X_35,divide(X_37,multiply(X_35,multiply(X_37,Y)))) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(X_35,divide(X_37,multiply(X_35,divide(X_37,inverse(Y))))),inverse(Y)) )],[refute_0_243,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7))))) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)),
inference(subst,[],[refute_0_249:[bind(Y,$fot(divide(multiply(X_3,divide(X_7,X_57)),X_7))),bind(X_35,$fot(X_56)),bind(X_37,$fot(X_57))]]) ).
cnf(refute_0_251,plain,
multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7)) = X_3,
inference(subst,[],[refute_0_109:[bind(X_2,$fot(X_57))]]) ).
cnf(refute_0_252,plain,
( multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7))))) != inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))
| multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7)) != X_3
| multiply(X_56,divide(X_57,multiply(X_56,X_3))) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7))))),inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))) ),[0,1,1,1],$fot(X_3)]]) ).
cnf(refute_0_253,plain,
( multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7))))) != inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))
| multiply(X_56,divide(X_57,multiply(X_56,X_3))) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7)),X_3) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(X_56,divide(X_57,multiply(X_56,X_3))) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)),
inference(resolve,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(multiply(X_3,divide(X_7,X_57)),X_7))))),inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(X_3,X_57))))) = inverse(divide(X_3,X_57)),
inference(subst,[],[refute_0_249:[bind(Y,$fot(divide(X_3,X_57))),bind(X_35,$fot(X_56)),bind(X_37,$fot(X_57))]]) ).
cnf(refute_0_256,plain,
multiply(X_57,divide(X_3,X_57)) = X_3,
inference(subst,[],[refute_0_54:[bind(X_2,$fot(X_57))]]) ).
cnf(refute_0_257,plain,
( multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(X_3,X_57))))) != inverse(divide(X_3,X_57))
| multiply(X_57,divide(X_3,X_57)) != X_3
| multiply(X_56,divide(X_57,multiply(X_56,X_3))) = inverse(divide(X_3,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(X_3,X_57))))),inverse(divide(X_3,X_57))) ),[0,1,1,1],$fot(X_3)]]) ).
cnf(refute_0_258,plain,
( multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(X_3,X_57))))) != inverse(divide(X_3,X_57))
| multiply(X_56,divide(X_57,multiply(X_56,X_3))) = inverse(divide(X_3,X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_57,divide(X_3,X_57)),X_3) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(X_56,divide(X_57,multiply(X_56,X_3))) = inverse(divide(X_3,X_57)),
inference(resolve,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,multiply(X_57,divide(X_3,X_57))))),inverse(divide(X_3,X_57))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
( multiply(X_56,divide(X_57,multiply(X_56,X_3))) != inverse(divide(X_3,X_57))
| multiply(X_56,divide(X_57,multiply(X_56,X_3))) != inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))
| inverse(divide(X_3,X_57)) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,X_3))),inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))) ),[0],$fot(inverse(divide(X_3,X_57)))]]) ).
cnf(refute_0_261,plain,
( multiply(X_56,divide(X_57,multiply(X_56,X_3))) != inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))
| inverse(divide(X_3,X_57)) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)) ),
inference(resolve,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,X_3))),inverse(divide(X_3,X_57))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
inverse(divide(X_3,X_57)) = inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)),
inference(resolve,[$cnf( $equal(multiply(X_56,divide(X_57,multiply(X_56,X_3))),inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))) )],[refute_0_254,refute_0_261]) ).
cnf(refute_0_263,plain,
( inverse(divide(X_3,X_57)) != inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))
| inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)) = inverse(divide(X_3,X_57)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_3,X_57)))),bind(Y0,$fot(inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))))]]) ).
cnf(refute_0_264,plain,
inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7)) = inverse(divide(X_3,X_57)),
inference(resolve,[$cnf( $equal(inverse(divide(X_3,X_57)),inverse(divide(multiply(X_3,divide(X_7,X_57)),X_7))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)) = inverse(divide(X_3,X_78)),
inference(subst,[],[refute_0_264:[bind(X_57,$fot(X_78))]]) ).
cnf(refute_0_266,plain,
( multiply(X_78,divide(X_79,multiply(X_79,X_3))) != inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))
| inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)) != inverse(divide(X_3,X_78))
| multiply(X_78,divide(X_79,multiply(X_79,X_3))) = inverse(divide(X_3,X_78)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_78,divide(X_79,multiply(X_79,X_3))),inverse(divide(X_3,X_78))) ),[0],$fot(inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)))]]) ).
cnf(refute_0_267,plain,
( multiply(X_78,divide(X_79,multiply(X_79,X_3))) != inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))
| multiply(X_78,divide(X_79,multiply(X_79,X_3))) = inverse(divide(X_3,X_78)) ),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7)),inverse(divide(X_3,X_78))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(X_78,divide(X_79,multiply(X_79,X_3))) = inverse(divide(X_3,X_78)),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,X_3))),inverse(divide(multiply(X_3,divide(X_7,X_78)),X_7))) )],[refute_0_242,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(X_78,divide(X_79,multiply(X_79,X_33))) = inverse(divide(X_33,X_78)),
inference(subst,[],[refute_0_268:[bind(X_3,$fot(X_33))]]) ).
cnf(refute_0_270,plain,
( multiply(X_78,divide(X_79,multiply(X_79,X_33))) != inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))
| multiply(X_78,divide(X_79,multiply(X_79,X_33))) != inverse(divide(X_33,X_78))
| inverse(divide(X_33,X_78)) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,X_33))),inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))) ),[0],$fot(inverse(divide(X_33,X_78)))]]) ).
cnf(refute_0_271,plain,
( multiply(X_78,divide(X_79,multiply(X_79,X_33))) != inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))
| inverse(divide(X_33,X_78)) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,X_33))),inverse(divide(X_33,X_78))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
inverse(divide(X_33,X_78)) = inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)),
inference(resolve,[$cnf( $equal(multiply(X_78,divide(X_79,multiply(X_79,X_33))),inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))) )],[refute_0_237,refute_0_271]) ).
cnf(refute_0_273,plain,
( inverse(divide(X_33,X_78)) != inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))
| inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) = inverse(divide(X_33,X_78)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(divide(X_33,X_78)))),bind(Y0,$fot(inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))))]]) ).
cnf(refute_0_274,plain,
inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y)) = inverse(divide(X_33,X_78)),
inference(resolve,[$cnf( $equal(inverse(divide(X_33,X_78)),inverse(multiply(multiply(X_33,divide(inverse(Y),X_78)),Y))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)) = inverse(divide(X_33,X_85)),
inference(subst,[],[refute_0_274:[bind(X_78,$fot(X_85))]]) ).
cnf(refute_0_276,plain,
multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),
introduced(tautology,[refl,[$fot(multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))))]]) ).
cnf(refute_0_277,plain,
( multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) != multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)))
| inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)) != inverse(divide(X_33,X_85))
| multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = multiply(X_33,inverse(divide(X_33,X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)))) ),[1,1],$fot(inverse(divide(X_33,X_85)))]]) ).
cnf(refute_0_278,plain,
( inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)) != inverse(divide(X_33,X_85))
| multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = multiply(X_33,inverse(divide(X_33,X_85))) ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) = multiply(X_33,inverse(divide(X_33,X_85))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y)),inverse(divide(X_33,X_85))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) != X_85
| multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) != multiply(X_33,inverse(divide(X_33,X_85)))
| multiply(X_33,inverse(divide(X_33,X_85))) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),X_85) ),[0],$fot(multiply(X_33,inverse(divide(X_33,X_85))))]]) ).
cnf(refute_0_281,plain,
( multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))) != X_85
| multiply(X_33,inverse(divide(X_33,X_85))) = X_85 ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),multiply(X_33,inverse(divide(X_33,X_85)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(X_33,inverse(divide(X_33,X_85))) = X_85,
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(multiply(multiply(X_33,divide(inverse(Y),X_85)),Y))),X_85) )],[refute_0_225,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(X_40,inverse(divide(X_40,X_90))) = X_90,
inference(subst,[],[refute_0_282:[bind(X_33,$fot(X_40)),bind(X_85,$fot(X_90))]]) ).
cnf(refute_0_284,plain,
( multiply(X_40,inverse(divide(X_40,X_90))) != X_90
| inverse(divide(multiply(X_40,inverse(divide(X_40,X_90))),X_40)) != inverse(inverse(divide(X_40,X_90)))
| inverse(divide(X_90,X_40)) = inverse(inverse(divide(X_40,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(X_40,inverse(divide(X_40,X_90))),X_40)),inverse(inverse(divide(X_40,X_90)))) ),[0,0,0],$fot(X_90)]]) ).
cnf(refute_0_285,plain,
( inverse(divide(multiply(X_40,inverse(divide(X_40,X_90))),X_40)) != inverse(inverse(divide(X_40,X_90)))
| inverse(divide(X_90,X_40)) = inverse(inverse(divide(X_40,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(X_40,inverse(divide(X_40,X_90))),X_90) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
inverse(divide(X_90,X_40)) = inverse(inverse(divide(X_40,X_90))),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(X_40,inverse(divide(X_40,X_90))),X_40)),inverse(inverse(divide(X_40,X_90)))) )],[refute_0_151,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(inverse(Y),inverse(divide(inverse(Y),X_90))) = inverse(divide(Y,inverse(divide(inverse(Y),X_90)))),
inference(subst,[],[refute_0_71:[bind(X_41,$fot(inverse(divide(inverse(Y),X_90))))]]) ).
cnf(refute_0_288,plain,
multiply(inverse(Y),inverse(divide(inverse(Y),X_90))) = X_90,
inference(subst,[],[refute_0_282:[bind(X_33,$fot(inverse(Y))),bind(X_85,$fot(X_90))]]) ).
cnf(refute_0_289,plain,
( multiply(inverse(Y),inverse(divide(inverse(Y),X_90))) != X_90
| multiply(inverse(Y),inverse(divide(inverse(Y),X_90))) != inverse(divide(Y,inverse(divide(inverse(Y),X_90))))
| X_90 = inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),inverse(divide(inverse(Y),X_90))),inverse(divide(Y,inverse(divide(inverse(Y),X_90))))) ),[0],$fot(X_90)]]) ).
cnf(refute_0_290,plain,
( multiply(inverse(Y),inverse(divide(inverse(Y),X_90))) != inverse(divide(Y,inverse(divide(inverse(Y),X_90))))
| X_90 = inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(divide(inverse(Y),X_90))),X_90) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
X_90 = inverse(divide(Y,inverse(divide(inverse(Y),X_90)))),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),inverse(divide(inverse(Y),X_90))),inverse(divide(Y,inverse(divide(inverse(Y),X_90))))) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(multiply(inverse(Y),X_86),inverse(X_86)) = inverse(Y),
inference(subst,[],[refute_0_213:[bind(X_83,$fot(inverse(Y))),bind(X_84,$fot(X_86))]]) ).
cnf(refute_0_293,plain,
multiply(inverse(Y),X_86) = inverse(divide(Y,X_86)),
inference(subst,[],[refute_0_71:[bind(X_41,$fot(X_86))]]) ).
cnf(refute_0_294,plain,
( multiply(multiply(inverse(Y),X_86),inverse(X_86)) != inverse(Y)
| multiply(inverse(Y),X_86) != inverse(divide(Y,X_86))
| multiply(inverse(divide(Y,X_86)),inverse(X_86)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(Y),X_86),inverse(X_86)),inverse(Y)) ),[0,0],$fot(inverse(divide(Y,X_86)))]]) ).
cnf(refute_0_295,plain,
( multiply(multiply(inverse(Y),X_86),inverse(X_86)) != inverse(Y)
| multiply(inverse(divide(Y,X_86)),inverse(X_86)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),X_86),inverse(divide(Y,X_86))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(inverse(divide(Y,X_86)),inverse(X_86)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(Y),X_86),inverse(X_86)),inverse(Y)) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
inverse(divide(divide(Y,X_86),inverse(X_86))) = multiply(X_86,divide(inverse(X_86),Y)),
inference(subst,[],[refute_0_116:[bind(X_2,$fot(X_86)),bind(X_41,$fot(inverse(X_86))),bind(X_7,$fot(Y))]]) ).
cnf(refute_0_298,plain,
multiply(inverse(divide(Y,X_86)),inverse(X_86)) = inverse(divide(divide(Y,X_86),inverse(X_86))),
inference(subst,[],[refute_0_71:[bind(Y,$fot(divide(Y,X_86))),bind(X_41,$fot(inverse(X_86)))]]) ).
cnf(refute_0_299,plain,
( multiply(inverse(divide(Y,X_86)),inverse(X_86)) != inverse(divide(divide(Y,X_86),inverse(X_86)))
| inverse(divide(divide(Y,X_86),inverse(X_86))) != multiply(X_86,divide(inverse(X_86),Y))
| multiply(inverse(divide(Y,X_86)),inverse(X_86)) = multiply(X_86,divide(inverse(X_86),Y)) ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(multiply(inverse(divide(Y,X_86)),inverse(X_86)))),bind(Y0,$fot(inverse(divide(divide(Y,X_86),inverse(X_86))))),bind(Z0,$fot(multiply(X_86,divide(inverse(X_86),Y))))]]) ).
cnf(refute_0_300,plain,
( inverse(divide(divide(Y,X_86),inverse(X_86))) != multiply(X_86,divide(inverse(X_86),Y))
| multiply(inverse(divide(Y,X_86)),inverse(X_86)) = multiply(X_86,divide(inverse(X_86),Y)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_86)),inverse(X_86)),inverse(divide(divide(Y,X_86),inverse(X_86)))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(inverse(divide(Y,X_86)),inverse(X_86)) = multiply(X_86,divide(inverse(X_86),Y)),
inference(resolve,[$cnf( $equal(inverse(divide(divide(Y,X_86),inverse(X_86))),multiply(X_86,divide(inverse(X_86),Y))) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
( multiply(inverse(divide(Y,X_86)),inverse(X_86)) != multiply(X_86,divide(inverse(X_86),Y))
| multiply(inverse(divide(Y,X_86)),inverse(X_86)) != inverse(Y)
| multiply(X_86,divide(inverse(X_86),Y)) = inverse(Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(Y,X_86)),inverse(X_86)),inverse(Y)) ),[0],$fot(multiply(X_86,divide(inverse(X_86),Y)))]]) ).
cnf(refute_0_303,plain,
( multiply(inverse(divide(Y,X_86)),inverse(X_86)) != inverse(Y)
| multiply(X_86,divide(inverse(X_86),Y)) = inverse(Y) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_86)),inverse(X_86)),multiply(X_86,divide(inverse(X_86),Y))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(X_86,divide(inverse(X_86),Y)) = inverse(Y),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(Y,X_86)),inverse(X_86)),inverse(Y)) )],[refute_0_296,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(Y,divide(inverse(Y),X_90)) = inverse(X_90),
inference(subst,[],[refute_0_304:[bind(Y,$fot(X_90)),bind(X_86,$fot(Y))]]) ).
cnf(refute_0_306,plain,
divide(Y,inverse(divide(inverse(Y),X_90))) = multiply(Y,divide(inverse(Y),X_90)),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y)),bind(Y,$fot(divide(inverse(Y),X_90)))]]) ).
cnf(refute_0_307,plain,
( multiply(Y,divide(inverse(Y),X_90)) != inverse(X_90)
| divide(Y,inverse(divide(inverse(Y),X_90))) != multiply(Y,divide(inverse(Y),X_90))
| divide(Y,inverse(divide(inverse(Y),X_90))) = inverse(X_90) ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(divide(Y,inverse(divide(inverse(Y),X_90))))),bind(Y0,$fot(multiply(Y,divide(inverse(Y),X_90)))),bind(Z0,$fot(inverse(X_90)))]]) ).
cnf(refute_0_308,plain,
( multiply(Y,divide(inverse(Y),X_90)) != inverse(X_90)
| divide(Y,inverse(divide(inverse(Y),X_90))) = inverse(X_90) ),
inference(resolve,[$cnf( $equal(divide(Y,inverse(divide(inverse(Y),X_90))),multiply(Y,divide(inverse(Y),X_90))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
divide(Y,inverse(divide(inverse(Y),X_90))) = inverse(X_90),
inference(resolve,[$cnf( $equal(multiply(Y,divide(inverse(Y),X_90)),inverse(X_90)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) = inverse(divide(Y,inverse(divide(inverse(Y),X_90)))),
introduced(tautology,[refl,[$fot(inverse(divide(Y,inverse(divide(inverse(Y),X_90)))))]]) ).
cnf(refute_0_311,plain,
( divide(Y,inverse(divide(inverse(Y),X_90))) != inverse(X_90)
| inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) != inverse(divide(Y,inverse(divide(inverse(Y),X_90))))
| inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) = inverse(inverse(X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(Y,inverse(divide(inverse(Y),X_90)))),inverse(divide(Y,inverse(divide(inverse(Y),X_90))))) ),[1,0],$fot(inverse(X_90))]]) ).
cnf(refute_0_312,plain,
( divide(Y,inverse(divide(inverse(Y),X_90))) != inverse(X_90)
| inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) = inverse(inverse(X_90)) ),
inference(resolve,[$cnf( $equal(inverse(divide(Y,inverse(divide(inverse(Y),X_90)))),inverse(divide(Y,inverse(divide(inverse(Y),X_90))))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) = inverse(inverse(X_90)),
inference(resolve,[$cnf( $equal(divide(Y,inverse(divide(inverse(Y),X_90))),inverse(X_90)) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( X_90 != inverse(divide(Y,inverse(divide(inverse(Y),X_90))))
| inverse(divide(Y,inverse(divide(inverse(Y),X_90)))) != inverse(inverse(X_90))
| X_90 = inverse(inverse(X_90)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_90,inverse(inverse(X_90))) ),[0],$fot(inverse(divide(Y,inverse(divide(inverse(Y),X_90)))))]]) ).
cnf(refute_0_315,plain,
( X_90 != inverse(divide(Y,inverse(divide(inverse(Y),X_90))))
| X_90 = inverse(inverse(X_90)) ),
inference(resolve,[$cnf( $equal(inverse(divide(Y,inverse(divide(inverse(Y),X_90)))),inverse(inverse(X_90))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
X_90 = inverse(inverse(X_90)),
inference(resolve,[$cnf( $equal(X_90,inverse(divide(Y,inverse(divide(inverse(Y),X_90))))) )],[refute_0_291,refute_0_315]) ).
cnf(refute_0_317,plain,
( X_90 != inverse(inverse(X_90))
| inverse(inverse(X_90)) = X_90 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_90)),bind(Y0,$fot(inverse(inverse(X_90))))]]) ).
cnf(refute_0_318,plain,
inverse(inverse(X_90)) = X_90,
inference(resolve,[$cnf( $equal(X_90,inverse(inverse(X_90))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
inverse(inverse(divide(X_40,X_90))) = divide(X_40,X_90),
inference(subst,[],[refute_0_318:[bind(X_90,$fot(divide(X_40,X_90)))]]) ).
cnf(refute_0_320,plain,
( inverse(divide(X_90,X_40)) != inverse(inverse(divide(X_40,X_90)))
| inverse(inverse(divide(X_40,X_90))) != divide(X_40,X_90)
| inverse(divide(X_90,X_40)) = divide(X_40,X_90) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(divide(X_90,X_40)),divide(X_40,X_90)) ),[0],$fot(inverse(inverse(divide(X_40,X_90))))]]) ).
cnf(refute_0_321,plain,
( inverse(divide(X_90,X_40)) != inverse(inverse(divide(X_40,X_90)))
| inverse(divide(X_90,X_40)) = divide(X_40,X_90) ),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_40,X_90))),divide(X_40,X_90)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
inverse(divide(X_90,X_40)) = divide(X_40,X_90),
inference(resolve,[$cnf( $equal(inverse(divide(X_90,X_40)),inverse(inverse(divide(X_40,X_90)))) )],[refute_0_286,refute_0_321]) ).
cnf(refute_0_323,plain,
inverse(divide(a1,a1)) = divide(a1,a1),
inference(subst,[],[refute_0_322:[bind(X_40,$fot(a1)),bind(X_90,$fot(a1))]]) ).
cnf(refute_0_324,plain,
( divide(a1,a1) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) != divide(a1,a1)
| inverse(divide(a1,a1)) = inverse(divide(b1,b1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(a1,a1)),divide(a1,a1)) ),[1],$fot(inverse(divide(b1,b1)))]]) ).
cnf(refute_0_325,plain,
( divide(a1,a1) != inverse(divide(b1,b1))
| inverse(divide(a1,a1)) = inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(inverse(divide(a1,a1)),divide(a1,a1)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
inverse(divide(b1,b1)) = divide(b1,b1),
inference(subst,[],[refute_0_322:[bind(X_40,$fot(b1)),bind(X_90,$fot(b1))]]) ).
cnf(refute_0_327,plain,
( divide(a1,a1) != divide(b1,b1)
| inverse(divide(b1,b1)) != divide(b1,b1)
| divide(a1,a1) = inverse(divide(b1,b1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(a1,a1),inverse(divide(b1,b1))) ),[1],$fot(divide(b1,b1))]]) ).
cnf(refute_0_328,plain,
( divide(a1,a1) != divide(b1,b1)
| divide(a1,a1) = inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(inverse(divide(b1,b1)),divide(b1,b1)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( divide(a1,a1) != divide(b1,b1)
| inverse(divide(a1,a1)) = inverse(divide(b1,b1)) ),
inference(resolve,[$cnf( $equal(divide(a1,a1),inverse(divide(b1,b1))) )],[refute_0_328,refute_0_325]) ).
cnf(refute_0_330,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(inverse(divide(a1,a1)),inverse(divide(b1,b1))) )],[refute_0_329,refute_0_139]) ).
cnf(refute_0_331,plain,
multiply(X_89,inverse(divide(X_89,multiply(X_31,X_89)))) = multiply(X_31,X_89),
inference(subst,[],[refute_0_282:[bind(X_33,$fot(X_89)),bind(X_85,$fot(multiply(X_31,X_89)))]]) ).
cnf(refute_0_332,plain,
multiply(inverse(Y),multiply(X_31,Y)) = inverse(divide(Y,multiply(X_31,Y))),
inference(subst,[],[refute_0_71:[bind(X_41,$fot(multiply(X_31,Y)))]]) ).
cnf(refute_0_333,plain,
( multiply(inverse(Y),multiply(X_31,Y)) != X_31
| multiply(inverse(Y),multiply(X_31,Y)) != inverse(divide(Y,multiply(X_31,Y)))
| inverse(divide(Y,multiply(X_31,Y))) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(Y),multiply(X_31,Y)),X_31) ),[0],$fot(inverse(divide(Y,multiply(X_31,Y))))]]) ).
cnf(refute_0_334,plain,
( multiply(inverse(Y),multiply(X_31,Y)) != X_31
| inverse(divide(Y,multiply(X_31,Y))) = X_31 ),
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_31,Y)),inverse(divide(Y,multiply(X_31,Y)))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
inverse(divide(Y,multiply(X_31,Y))) = X_31,
inference(resolve,[$cnf( $equal(multiply(inverse(Y),multiply(X_31,Y)),X_31) )],[refute_0_61,refute_0_334]) ).
cnf(refute_0_336,plain,
inverse(divide(X_89,multiply(X_31,X_89))) = X_31,
inference(subst,[],[refute_0_335:[bind(Y,$fot(X_89))]]) ).
cnf(refute_0_337,plain,
( multiply(X_89,inverse(divide(X_89,multiply(X_31,X_89)))) != multiply(X_31,X_89)
| inverse(divide(X_89,multiply(X_31,X_89))) != X_31
| multiply(X_89,X_31) = multiply(X_31,X_89) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,inverse(divide(X_89,multiply(X_31,X_89)))),multiply(X_31,X_89)) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_338,plain,
( multiply(X_89,inverse(divide(X_89,multiply(X_31,X_89)))) != multiply(X_31,X_89)
| multiply(X_89,X_31) = multiply(X_31,X_89) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_89,multiply(X_31,X_89))),X_31) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
multiply(X_89,X_31) = multiply(X_31,X_89),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(divide(X_89,multiply(X_31,X_89)))),multiply(X_31,X_89)) )],[refute_0_331,refute_0_338]) ).
cnf(refute_0_340,plain,
( multiply(X_89,X_31) != multiply(X_31,X_89)
| multiply(X_31,X_89) = multiply(X_89,X_31) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_89,X_31))),bind(Y0,$fot(multiply(X_31,X_89)))]]) ).
cnf(refute_0_341,plain,
multiply(X_31,X_89) = multiply(X_89,X_31),
inference(resolve,[$cnf( $equal(multiply(X_89,X_31),multiply(X_31,X_89)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_341:[bind(X_31,$fot(b4)),bind(X_89,$fot(a4))]]) ).
cnf(refute_0_343,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_344,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_344,refute_0_330]) ).
cnf(refute_0_346,plain,
multiply(c3,b3) = multiply(b3,c3),
inference(subst,[],[refute_0_341:[bind(X_31,$fot(c3)),bind(X_89,$fot(b3))]]) ).
cnf(refute_0_347,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(c3,b3)))]]) ).
cnf(refute_0_348,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) ),[1,1],$fot(multiply(b3,c3))]]) ).
cnf(refute_0_349,plain,
( multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,b3),multiply(b3,c3)) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))))) = multiply(X_33,multiply(X_2,X_55)),
inference(subst,[],[refute_0_190:[bind(X_3,$fot(multiply(X_33,multiply(X_2,X_55))))]]) ).
cnf(refute_0_352,plain,
multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))) = inverse(X_55),
inference(subst,[],[refute_0_249:[bind(Y,$fot(X_55)),bind(X_35,$fot(X_33)),bind(X_37,$fot(X_2))]]) ).
cnf(refute_0_353,plain,
( multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))))) != multiply(X_33,multiply(X_2,X_55))
| multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))) != inverse(X_55)
| multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_33,multiply(X_2,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))))),multiply(X_33,multiply(X_2,X_55))) ),[0,1,1],$fot(inverse(X_55))]]) ).
cnf(refute_0_354,plain,
( multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))))) != multiply(X_33,multiply(X_2,X_55))
| multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_33,multiply(X_2,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))),inverse(X_55)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_33,multiply(X_2,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_33,multiply(X_33,divide(X_2,multiply(X_33,multiply(X_2,X_55)))))),multiply(X_33,multiply(X_2,X_55))) )],[refute_0_351,refute_0_354]) ).
cnf(refute_0_356,plain,
divide(X_33,inverse(X_55)) = multiply(X_33,X_55),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_33)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_357,plain,
multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_2,divide(X_33,inverse(X_55))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_33,inverse(X_55))))]]) ).
cnf(refute_0_358,plain,
( multiply(X_2,divide(X_33,inverse(X_55))) != multiply(X_2,divide(X_33,inverse(X_55)))
| divide(X_33,inverse(X_55)) != multiply(X_33,X_55)
| multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_2,multiply(X_33,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_33,inverse(X_55))),multiply(X_2,divide(X_33,inverse(X_55)))) ),[1,1],$fot(multiply(X_33,X_55))]]) ).
cnf(refute_0_359,plain,
( divide(X_33,inverse(X_55)) != multiply(X_33,X_55)
| multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_2,multiply(X_33,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_33,inverse(X_55))),multiply(X_2,divide(X_33,inverse(X_55)))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(X_2,divide(X_33,inverse(X_55))) = multiply(X_2,multiply(X_33,X_55)),
inference(resolve,[$cnf( $equal(divide(X_33,inverse(X_55)),multiply(X_33,X_55)) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
( multiply(X_2,divide(X_33,inverse(X_55))) != multiply(X_2,multiply(X_33,X_55))
| multiply(X_2,divide(X_33,inverse(X_55))) != multiply(X_33,multiply(X_2,X_55))
| multiply(X_2,multiply(X_33,X_55)) = multiply(X_33,multiply(X_2,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_33,inverse(X_55))),multiply(X_33,multiply(X_2,X_55))) ),[0],$fot(multiply(X_2,multiply(X_33,X_55)))]]) ).
cnf(refute_0_362,plain,
( multiply(X_2,divide(X_33,inverse(X_55))) != multiply(X_33,multiply(X_2,X_55))
| multiply(X_2,multiply(X_33,X_55)) = multiply(X_33,multiply(X_2,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_33,inverse(X_55))),multiply(X_2,multiply(X_33,X_55))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(X_2,multiply(X_33,X_55)) = multiply(X_33,multiply(X_2,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_33,inverse(X_55))),multiply(X_33,multiply(X_2,X_55))) )],[refute_0_355,refute_0_362]) ).
cnf(refute_0_364,plain,
( multiply(X_2,multiply(X_33,X_55)) != multiply(X_33,multiply(X_2,X_55))
| multiply(X_33,multiply(X_2,X_55)) = multiply(X_2,multiply(X_33,X_55)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_2,multiply(X_33,X_55)))),bind(Y0,$fot(multiply(X_33,multiply(X_2,X_55))))]]) ).
cnf(refute_0_365,plain,
multiply(X_33,multiply(X_2,X_55)) = multiply(X_2,multiply(X_33,X_55)),
inference(resolve,[$cnf( $equal(multiply(X_2,multiply(X_33,X_55)),multiply(X_33,multiply(X_2,X_55))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_365:[bind(X_2,$fot(a3)),bind(X_33,$fot(c3)),bind(X_55,$fot(b3))]]) ).
cnf(refute_0_367,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_341:[bind(X_31,$fot(multiply(a3,b3))),bind(X_89,$fot(c3))]]) ).
cnf(refute_0_368,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)) ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(c3,multiply(a3,b3)))),bind(Z0,$fot(multiply(a3,multiply(c3,b3))))]]) ).
cnf(refute_0_369,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(c3,b3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(c3,b3))
| multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_119:[bind(X0,$fot(multiply(multiply(a3,b3),c3))),bind(Y0,$fot(multiply(a3,multiply(c3,b3)))),bind(Z0,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_372,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(c3,b3))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_350,refute_0_372]) ).
cnf(refute_0_374,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_375,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_375,refute_0_345]) ).
cnf(refute_0_377,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_378,plain,
( multiply(a4,b4) != multiply(a4,b4)
| divide(a1,a1) != divide(b1,b1) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_377,refute_0_376]) ).
cnf(refute_0_379,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_380,plain,
divide(a1,a1) != divide(b1,b1),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_379,refute_0_378]) ).
cnf(refute_0_381,plain,
inverse(divide(multiply(multiply(X_85,X_86),inverse(X_86)),multiply(X_85,X_86))) = inverse(inverse(X_86)),
inference(subst,[],[refute_0_150:[bind(Y,$fot(inverse(X_86))),bind(X_40,$fot(multiply(X_85,X_86)))]]) ).
cnf(refute_0_382,plain,
multiply(multiply(X_85,X_86),inverse(X_86)) = X_85,
inference(subst,[],[refute_0_213:[bind(X_83,$fot(X_85)),bind(X_84,$fot(X_86))]]) ).
cnf(refute_0_383,plain,
( multiply(multiply(X_85,X_86),inverse(X_86)) != X_85
| inverse(divide(multiply(multiply(X_85,X_86),inverse(X_86)),multiply(X_85,X_86))) != inverse(inverse(X_86))
| inverse(divide(X_85,multiply(X_85,X_86))) = inverse(inverse(X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(multiply(multiply(X_85,X_86),inverse(X_86)),multiply(X_85,X_86))),inverse(inverse(X_86))) ),[0,0,0],$fot(X_85)]]) ).
cnf(refute_0_384,plain,
( inverse(divide(multiply(multiply(X_85,X_86),inverse(X_86)),multiply(X_85,X_86))) != inverse(inverse(X_86))
| inverse(divide(X_85,multiply(X_85,X_86))) = inverse(inverse(X_86)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_85,X_86),inverse(X_86)),X_85) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
inverse(divide(X_85,multiply(X_85,X_86))) = inverse(inverse(X_86)),
inference(resolve,[$cnf( $equal(inverse(divide(multiply(multiply(X_85,X_86),inverse(X_86)),multiply(X_85,X_86))),inverse(inverse(X_86))) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
inverse(divide(X_85,multiply(X_85,X_86))) = divide(multiply(X_85,X_86),X_85),
inference(subst,[],[refute_0_322:[bind(X_40,$fot(multiply(X_85,X_86))),bind(X_90,$fot(X_85))]]) ).
cnf(refute_0_387,plain,
( inverse(divide(X_85,multiply(X_85,X_86))) != divide(multiply(X_85,X_86),X_85)
| inverse(divide(X_85,multiply(X_85,X_86))) != inverse(inverse(X_86))
| divide(multiply(X_85,X_86),X_85) = inverse(inverse(X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_85,multiply(X_85,X_86))),inverse(inverse(X_86))) ),[0],$fot(divide(multiply(X_85,X_86),X_85))]]) ).
cnf(refute_0_388,plain,
( inverse(divide(X_85,multiply(X_85,X_86))) != inverse(inverse(X_86))
| divide(multiply(X_85,X_86),X_85) = inverse(inverse(X_86)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_85,multiply(X_85,X_86))),divide(multiply(X_85,X_86),X_85)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
inverse(inverse(X_86)) = X_86,
inference(subst,[],[refute_0_318:[bind(X_90,$fot(X_86))]]) ).
cnf(refute_0_390,plain,
( divide(multiply(X_85,X_86),X_85) != inverse(inverse(X_86))
| inverse(inverse(X_86)) != X_86
| divide(multiply(X_85,X_86),X_85) = X_86 ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(multiply(X_85,X_86),X_85),X_86) ),[0],$fot(inverse(inverse(X_86)))]]) ).
cnf(refute_0_391,plain,
( divide(multiply(X_85,X_86),X_85) != inverse(inverse(X_86))
| divide(multiply(X_85,X_86),X_85) = X_86 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_86)),X_86) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
( inverse(divide(X_85,multiply(X_85,X_86))) != inverse(inverse(X_86))
| divide(multiply(X_85,X_86),X_85) = X_86 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_85,X_86),X_85),inverse(inverse(X_86))) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
divide(multiply(X_85,X_86),X_85) = X_86,
inference(resolve,[$cnf( $equal(inverse(divide(X_85,multiply(X_85,X_86))),inverse(inverse(X_86))) )],[refute_0_385,refute_0_392]) ).
cnf(refute_0_394,plain,
divide(multiply(X_96,divide(X_11,X_11)),X_96) = divide(X_11,X_11),
inference(subst,[],[refute_0_393:[bind(X_85,$fot(X_96)),bind(X_86,$fot(divide(X_11,X_11)))]]) ).
cnf(refute_0_395,plain,
multiply(X_96,divide(X_11,X_11)) = X_96,
inference(subst,[],[refute_0_38:[bind(X_9,$fot(X_96))]]) ).
cnf(refute_0_396,plain,
( multiply(X_96,divide(X_11,X_11)) != X_96
| divide(multiply(X_96,divide(X_11,X_11)),X_96) != divide(X_11,X_11)
| divide(X_96,X_96) = divide(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_96,divide(X_11,X_11)),X_96),divide(X_11,X_11)) ),[0,0],$fot(X_96)]]) ).
cnf(refute_0_397,plain,
( divide(multiply(X_96,divide(X_11,X_11)),X_96) != divide(X_11,X_11)
| divide(X_96,X_96) = divide(X_11,X_11) ),
inference(resolve,[$cnf( $equal(multiply(X_96,divide(X_11,X_11)),X_96) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
divide(X_96,X_96) = divide(X_11,X_11),
inference(resolve,[$cnf( $equal(divide(multiply(X_96,divide(X_11,X_11)),X_96),divide(X_11,X_11)) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
divide(a1,a1) = divide(X_98,X_98),
inference(subst,[],[refute_0_398:[bind(X_11,$fot(X_98)),bind(X_96,$fot(a1))]]) ).
cnf(refute_0_400,plain,
( divide(X_98,X_98) != divide(b1,b1)
| divide(a1,a1) != divide(X_98,X_98)
| divide(a1,a1) = divide(b1,b1) ),
introduced(tautology,[equality,[$cnf( $equal(divide(a1,a1),divide(X_98,X_98)) ),[1],$fot(divide(b1,b1))]]) ).
cnf(refute_0_401,plain,
( divide(X_98,X_98) != divide(b1,b1)
| divide(a1,a1) = divide(b1,b1) ),
inference(resolve,[$cnf( $equal(divide(a1,a1),divide(X_98,X_98)) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
divide(X_98,X_98) != divide(b1,b1),
inference(resolve,[$cnf( $equal(divide(a1,a1),divide(b1,b1)) )],[refute_0_401,refute_0_380]) ).
cnf(refute_0_403,plain,
( divide(X_96,X_96) != divide(X_11,X_11)
| divide(X_11,X_11) = divide(X_96,X_96) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(divide(X_96,X_96))),bind(Y0,$fot(divide(X_11,X_11)))]]) ).
cnf(refute_0_404,plain,
divide(X_11,X_11) = divide(X_96,X_96),
inference(resolve,[$cnf( $equal(divide(X_96,X_96),divide(X_11,X_11)) )],[refute_0_398,refute_0_403]) ).
cnf(refute_0_405,plain,
divide(X_98,X_98) = divide(b1,b1),
inference(subst,[],[refute_0_404:[bind(X_11,$fot(X_98)),bind(X_96,$fot(b1))]]) ).
cnf(refute_0_406,plain,
$false,
inference(resolve,[$cnf( $equal(divide(X_98,X_98),divide(b1,b1)) )],[refute_0_405,refute_0_402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP097-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.05/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 13 08:43:20 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44
% 0.17/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.49
%------------------------------------------------------------------------------