TSTP Solution File: GRP559-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 78
% Syntax : Number of clauses : 263 ( 143 unt; 0 nHn; 120 RR)
% Number of literals : 437 ( 436 equ; 177 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 733 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,inverse(B)) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_4,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(A,inverse(divide(divide(B,C),divide(A,C)))) = multiply(A,divide(divide(B,C),divide(A,C))),
inference(subst,[],[refute_0_4:[bind(B,$fot(divide(divide(B,C),divide(A,C))))]]) ).
cnf(refute_0_6,plain,
( divide(A,inverse(divide(divide(B,C),divide(A,C)))) != B
| divide(A,inverse(divide(divide(B,C),divide(A,C)))) != multiply(A,divide(divide(B,C),divide(A,C)))
| multiply(A,divide(divide(B,C),divide(A,C))) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,inverse(divide(divide(B,C),divide(A,C)))),B) ),[0],$fot(multiply(A,divide(divide(B,C),divide(A,C))))]]) ).
cnf(refute_0_7,plain,
( divide(A,inverse(divide(divide(B,C),divide(A,C)))) != B
| multiply(A,divide(divide(B,C),divide(A,C))) = B ),
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(divide(B,C),divide(A,C)))),multiply(A,divide(divide(B,C),divide(A,C)))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(A,divide(divide(B,C),divide(A,C))) = B,
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(divide(B,C),divide(A,C)))),B) )],[single_axiom,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(X_2,divide(divide(X_3,inverse(B)),divide(X_2,inverse(B)))) = X_3,
inference(subst,[],[refute_0_8:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_10,plain,
multiply(X_2,B) = divide(X_2,inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(X_2))]]) ).
cnf(refute_0_11,plain,
( multiply(X_2,B) != divide(X_2,inverse(B))
| divide(X_2,inverse(B)) = multiply(X_2,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,B))),bind(Y,$fot(divide(X_2,inverse(B))))]]) ).
cnf(refute_0_12,plain,
divide(X_2,inverse(B)) = multiply(X_2,B),
inference(resolve,[$cnf( $equal(multiply(X_2,B),divide(X_2,inverse(B))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(X_2,divide(divide(X_3,inverse(B)),divide(X_2,inverse(B)))) != X_3
| divide(X_2,inverse(B)) != multiply(X_2,B)
| multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),divide(X_2,inverse(B)))),X_3) ),[0,1,1],$fot(multiply(X_2,B))]]) ).
cnf(refute_0_14,plain,
( multiply(X_2,divide(divide(X_3,inverse(B)),divide(X_2,inverse(B)))) != X_3
| multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = X_3 ),
inference(resolve,[$cnf( $equal(divide(X_2,inverse(B)),multiply(X_2,B)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),divide(X_2,inverse(B)))),X_3) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(X_3,inverse(B)) = multiply(X_3,B),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_17,plain,
divide(divide(X_3,inverse(B)),multiply(X_2,B)) = divide(divide(X_3,inverse(B)),multiply(X_2,B)),
introduced(tautology,[refl,[$fot(divide(divide(X_3,inverse(B)),multiply(X_2,B)))]]) ).
cnf(refute_0_18,plain,
( divide(X_3,inverse(B)) != multiply(X_3,B)
| divide(divide(X_3,inverse(B)),multiply(X_2,B)) != divide(divide(X_3,inverse(B)),multiply(X_2,B))
| divide(divide(X_3,inverse(B)),multiply(X_2,B)) = divide(multiply(X_3,B),multiply(X_2,B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,inverse(B)),multiply(X_2,B)),divide(divide(X_3,inverse(B)),multiply(X_2,B))) ),[1,0],$fot(multiply(X_3,B))]]) ).
cnf(refute_0_19,plain,
( divide(X_3,inverse(B)) != multiply(X_3,B)
| divide(divide(X_3,inverse(B)),multiply(X_2,B)) = divide(multiply(X_3,B),multiply(X_2,B)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,inverse(B)),multiply(X_2,B)),divide(divide(X_3,inverse(B)),multiply(X_2,B))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
divide(divide(X_3,inverse(B)),multiply(X_2,B)) = divide(multiply(X_3,B),multiply(X_2,B)),
inference(resolve,[$cnf( $equal(divide(X_3,inverse(B)),multiply(X_3,B)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))))]]) ).
cnf(refute_0_22,plain,
( multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) != multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B)))
| divide(divide(X_3,inverse(B)),multiply(X_2,B)) != divide(multiply(X_3,B),multiply(X_2,B))
| multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))),multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B)))) ),[1,1],$fot(divide(multiply(X_3,B),multiply(X_2,B)))]]) ).
cnf(refute_0_23,plain,
( divide(divide(X_3,inverse(B)),multiply(X_2,B)) != divide(multiply(X_3,B),multiply(X_2,B))
| multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))),multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) = multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))),
inference(resolve,[$cnf( $equal(divide(divide(X_3,inverse(B)),multiply(X_2,B)),divide(multiply(X_3,B),multiply(X_2,B))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) != X_3
| multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) != multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B)))
| multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))),X_3) ),[0],$fot(multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))))]]) ).
cnf(refute_0_26,plain,
( multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))) != X_3
| multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))),multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(X_2,divide(multiply(X_3,B),multiply(X_2,B))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(divide(X_3,inverse(B)),multiply(X_2,B))),X_3) )],[refute_0_15,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(X_2,divide(multiply(X_3,divide(X_20,X_20)),multiply(X_2,divide(X_20,X_20)))) = X_3,
inference(subst,[],[refute_0_27:[bind(B,$fot(divide(X_20,X_20)))]]) ).
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(B,$fot(divide(multiply(X_7,X_5),multiply(X_3,X_5))))]]) ).
cnf(refute_0_30,plain,
multiply(X_3,divide(multiply(X_7,X_5),multiply(X_3,X_5))) = X_7,
inference(subst,[],[refute_0_27:[bind(B,$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,$fot(X_11))]]) ).
cnf(refute_0_35,plain,
multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))) = X_11,
inference(subst,[],[refute_0_27:[bind(B,$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( $equal(multiply(X_9,divide(X_11,multiply(X_9,divide(multiply(X_11,X_10),multiply(X_9,X_10))))),X_9) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(X_3,divide(X_20,X_20)) = X_3,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_20)),bind(X_9,$fot(X_3))]]) ).
cnf(refute_0_40,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_20,X_20)),multiply(X_2,divide(X_20,X_20)))) != X_3
| multiply(X_3,divide(X_20,X_20)) != X_3
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_20,X_20)),multiply(X_2,divide(X_20,X_20)))),X_3) ),[0,1,0],$fot(X_3)]]) ).
cnf(refute_0_41,plain,
( multiply(X_2,divide(multiply(X_3,divide(X_20,X_20)),multiply(X_2,divide(X_20,X_20)))) != X_3
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_20,X_20)),X_3) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_3,divide(X_20,X_20)),multiply(X_2,divide(X_20,X_20)))),X_3) )],[refute_0_28,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(X_2,divide(X_20,X_20)) = X_2,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_20)),bind(X_9,$fot(X_2))]]) ).
cnf(refute_0_44,plain,
divide(X_3,multiply(X_2,divide(X_20,X_20))) = divide(X_3,multiply(X_2,divide(X_20,X_20))),
introduced(tautology,[refl,[$fot(divide(X_3,multiply(X_2,divide(X_20,X_20))))]]) ).
cnf(refute_0_45,plain,
( multiply(X_2,divide(X_20,X_20)) != X_2
| divide(X_3,multiply(X_2,divide(X_20,X_20))) != divide(X_3,multiply(X_2,divide(X_20,X_20)))
| divide(X_3,multiply(X_2,divide(X_20,X_20))) = divide(X_3,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,multiply(X_2,divide(X_20,X_20))),divide(X_3,multiply(X_2,divide(X_20,X_20)))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_46,plain,
( multiply(X_2,divide(X_20,X_20)) != X_2
| divide(X_3,multiply(X_2,divide(X_20,X_20))) = divide(X_3,X_2) ),
inference(resolve,[$cnf( $equal(divide(X_3,multiply(X_2,divide(X_20,X_20))),divide(X_3,multiply(X_2,divide(X_20,X_20)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(X_3,multiply(X_2,divide(X_20,X_20))) = divide(X_3,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_20,X_20)),X_2) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))))]]) ).
cnf(refute_0_49,plain,
( multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) != multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20))))
| divide(X_3,multiply(X_2,divide(X_20,X_20))) != divide(X_3,X_2)
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = multiply(X_2,divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))),multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20))))) ),[1,1],$fot(divide(X_3,X_2))]]) ).
cnf(refute_0_50,plain,
( divide(X_3,multiply(X_2,divide(X_20,X_20))) != divide(X_3,X_2)
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = multiply(X_2,divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))),multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) = multiply(X_2,divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(divide(X_3,multiply(X_2,divide(X_20,X_20))),divide(X_3,X_2)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) != X_3
| multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))) != multiply(X_2,divide(X_3,X_2))
| multiply(X_2,divide(X_3,X_2)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))),X_3) ),[0],$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_20,X_20)))) != X_3
| multiply(X_2,divide(X_3,X_2)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))),multiply(X_2,divide(X_3,X_2))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(X_2,divide(X_3,X_2)) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,multiply(X_2,divide(X_20,X_20)))),X_3) )],[refute_0_42,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(X_2,divide(multiply(X_55,X_2),X_2)) = multiply(X_55,X_2),
inference(subst,[],[refute_0_54:[bind(X_3,$fot(multiply(X_55,X_2)))]]) ).
cnf(refute_0_56,plain,
multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) = X_3,
inference(subst,[],[refute_0_27:[bind(X_2,$fot(inverse(multiply(inverse(X_29),X_29))))]]) ).
cnf(refute_0_57,plain,
multiply(inverse(B),divide(X_23,inverse(B))) = X_23,
inference(subst,[],[refute_0_54:[bind(X_2,$fot(inverse(B))),bind(X_3,$fot(X_23))]]) ).
cnf(refute_0_58,plain,
multiply(X_23,B) = divide(X_23,inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_59,plain,
( multiply(X_23,B) != divide(X_23,inverse(B))
| divide(X_23,inverse(B)) = multiply(X_23,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_23,B))),bind(Y,$fot(divide(X_23,inverse(B))))]]) ).
cnf(refute_0_60,plain,
divide(X_23,inverse(B)) = multiply(X_23,B),
inference(resolve,[$cnf( $equal(multiply(X_23,B),divide(X_23,inverse(B))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(inverse(B),divide(X_23,inverse(B))) != X_23
| divide(X_23,inverse(B)) != multiply(X_23,B)
| multiply(inverse(B),multiply(X_23,B)) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),divide(X_23,inverse(B))),X_23) ),[0,1],$fot(multiply(X_23,B))]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(B),divide(X_23,inverse(B))) != X_23
| multiply(inverse(B),multiply(X_23,B)) = X_23 ),
inference(resolve,[$cnf( $equal(divide(X_23,inverse(B)),multiply(X_23,B)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(inverse(B),multiply(X_23,B)) = X_23,
inference(resolve,[$cnf( $equal(multiply(inverse(B),divide(X_23,inverse(B))),X_23) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(inverse(multiply(inverse(X_26),X_26)),multiply(X_23,multiply(inverse(X_26),X_26))) = X_23,
inference(subst,[],[refute_0_63:[bind(B,$fot(multiply(inverse(X_26),X_26)))]]) ).
cnf(refute_0_65,plain,
multiply(X_21,divide(inverse(B),inverse(B))) = X_21,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(inverse(B))),bind(X_9,$fot(X_21))]]) ).
cnf(refute_0_66,plain,
multiply(inverse(B),B) = divide(inverse(B),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_67,plain,
( multiply(inverse(B),B) != divide(inverse(B),inverse(B))
| divide(inverse(B),inverse(B)) = multiply(inverse(B),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(B),B))),bind(Y,$fot(divide(inverse(B),inverse(B))))]]) ).
cnf(refute_0_68,plain,
divide(inverse(B),inverse(B)) = multiply(inverse(B),B),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),divide(inverse(B),inverse(B))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(X_21,divide(inverse(B),inverse(B))) != X_21
| divide(inverse(B),inverse(B)) != multiply(inverse(B),B)
| multiply(X_21,multiply(inverse(B),B)) = X_21 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,divide(inverse(B),inverse(B))),X_21) ),[0,1],$fot(multiply(inverse(B),B))]]) ).
cnf(refute_0_70,plain,
( multiply(X_21,divide(inverse(B),inverse(B))) != X_21
| multiply(X_21,multiply(inverse(B),B)) = X_21 ),
inference(resolve,[$cnf( $equal(divide(inverse(B),inverse(B)),multiply(inverse(B),B)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(X_21,multiply(inverse(B),B)) = X_21,
inference(resolve,[$cnf( $equal(multiply(X_21,divide(inverse(B),inverse(B))),X_21) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(X_23,multiply(inverse(X_26),X_26)) = X_23,
inference(subst,[],[refute_0_71:[bind(B,$fot(X_26)),bind(X_21,$fot(X_23))]]) ).
cnf(refute_0_73,plain,
( multiply(X_23,multiply(inverse(X_26),X_26)) != X_23
| multiply(inverse(multiply(inverse(X_26),X_26)),multiply(X_23,multiply(inverse(X_26),X_26))) != X_23
| multiply(inverse(multiply(inverse(X_26),X_26)),X_23) = X_23 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_26),X_26)),multiply(X_23,multiply(inverse(X_26),X_26))),X_23) ),[0,1],$fot(X_23)]]) ).
cnf(refute_0_74,plain,
( multiply(inverse(multiply(inverse(X_26),X_26)),multiply(X_23,multiply(inverse(X_26),X_26))) != X_23
| multiply(inverse(multiply(inverse(X_26),X_26)),X_23) = X_23 ),
inference(resolve,[$cnf( $equal(multiply(X_23,multiply(inverse(X_26),X_26)),X_23) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(inverse(multiply(inverse(X_26),X_26)),X_23) = X_23,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_26),X_26)),multiply(X_23,multiply(inverse(X_26),X_26))),X_23) )],[refute_0_64,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) = divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),
inference(subst,[],[refute_0_75:[bind(X_23,$fot(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)))),bind(X_26,$fot(X_29))]]) ).
cnf(refute_0_77,plain,
( multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) != X_3
| multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) != divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))
| divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))),X_3) ),[0],$fot(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) != X_3
| divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = X_3,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_29),X_29)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))),X_3) )],[refute_0_56,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(inverse(multiply(inverse(X_29),X_29)),B) = B,
inference(subst,[],[refute_0_75:[bind(X_23,$fot(B)),bind(X_26,$fot(X_29))]]) ).
cnf(refute_0_81,plain,
divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),
introduced(tautology,[refl,[$fot(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)))]]) ).
cnf(refute_0_82,plain,
( multiply(inverse(multiply(inverse(X_29),X_29)),B) != B
| divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) != divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))
| divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = divide(multiply(X_3,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_83,plain,
( multiply(inverse(multiply(inverse(X_29),X_29)),B) != B
| divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = divide(multiply(X_3,B),B) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) = divide(multiply(X_3,B),B),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_29),X_29)),B),B) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
( divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) != X_3
| divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) != divide(multiply(X_3,B),B)
| divide(multiply(X_3,B),B) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),X_3) ),[0],$fot(divide(multiply(X_3,B),B))]]) ).
cnf(refute_0_86,plain,
( divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)) != X_3
| divide(multiply(X_3,B),B) = X_3 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),divide(multiply(X_3,B),B)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
divide(multiply(X_3,B),B) = X_3,
inference(resolve,[$cnf( $equal(divide(multiply(X_3,B),multiply(inverse(multiply(inverse(X_29),X_29)),B)),X_3) )],[refute_0_79,refute_0_86]) ).
cnf(refute_0_88,plain,
divide(multiply(X_55,X_2),X_2) = X_55,
inference(subst,[],[refute_0_87:[bind(B,$fot(X_2)),bind(X_3,$fot(X_55))]]) ).
cnf(refute_0_89,plain,
( multiply(X_2,divide(multiply(X_55,X_2),X_2)) != multiply(X_55,X_2)
| divide(multiply(X_55,X_2),X_2) != X_55
| multiply(X_2,X_55) = multiply(X_55,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(multiply(X_55,X_2),X_2)),multiply(X_55,X_2)) ),[0,1],$fot(X_55)]]) ).
cnf(refute_0_90,plain,
( multiply(X_2,divide(multiply(X_55,X_2),X_2)) != multiply(X_55,X_2)
| multiply(X_2,X_55) = multiply(X_55,X_2) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_55,X_2),X_2),X_55) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(X_2,X_55) = multiply(X_55,X_2),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(multiply(X_55,X_2),X_2)),multiply(X_55,X_2)) )],[refute_0_55,refute_0_90]) ).
cnf(refute_0_92,plain,
( multiply(X_2,X_55) != multiply(X_55,X_2)
| multiply(X_55,X_2) = multiply(X_2,X_55) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_55))),bind(Y,$fot(multiply(X_55,X_2)))]]) ).
cnf(refute_0_93,plain,
multiply(X_55,X_2) = multiply(X_2,X_55),
inference(resolve,[$cnf( $equal(multiply(X_2,X_55),multiply(X_55,X_2)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_93:[bind(X_2,$fot(c3)),bind(X_55,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_95,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_96,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_96,prove_these_axioms_3]) ).
cnf(refute_0_98,plain,
multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),multiply(X_6,divide(divide(B,C),divide(X_6,C))))) = X_7,
inference(subst,[],[refute_0_27:[bind(B,$fot(divide(divide(B,C),divide(X_6,C)))),bind(X_2,$fot(X_6)),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_99,plain,
multiply(X_6,divide(divide(B,C),divide(X_6,C))) = B,
inference(subst,[],[refute_0_8:[bind(A,$fot(X_6))]]) ).
cnf(refute_0_100,plain,
( multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),multiply(X_6,divide(divide(B,C),divide(X_6,C))))) != X_7
| multiply(X_6,divide(divide(B,C),divide(X_6,C))) != B
| multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),B)) = X_7 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),multiply(X_6,divide(divide(B,C),divide(X_6,C))))),X_7) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_101,plain,
( multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),multiply(X_6,divide(divide(B,C),divide(X_6,C))))) != X_7
| multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),B)) = X_7 ),
inference(resolve,[$cnf( $equal(multiply(X_6,divide(divide(B,C),divide(X_6,C))),B) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),B)) = X_7,
inference(resolve,[$cnf( $equal(multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_6,C))),multiply(X_6,divide(divide(B,C),divide(X_6,C))))),X_7) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(X_14,divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))) = X_15,
inference(subst,[],[refute_0_102:[bind(B,$fot(inverse(B))),bind(C,$fot(X_13)),bind(X_6,$fot(X_14)),bind(X_7,$fot(X_15))]]) ).
cnf(refute_0_104,plain,
multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) = divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13)))))]]) ).
cnf(refute_0_105,plain,
( multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) != divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))
| divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B)) = multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B))),bind(Y,$fot(divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))))]]) ).
cnf(refute_0_106,plain,
divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B)) = multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B),divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
( multiply(X_14,divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))) != X_15
| divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B)) != multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)
| multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))),X_15) ),[0,1],$fot(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B))]]) ).
cnf(refute_0_108,plain,
( multiply(X_14,divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))) != X_15
| multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = X_15 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B)),multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = X_15,
inference(resolve,[$cnf( $equal(multiply(X_14,divide(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),inverse(B))),X_15) )],[refute_0_103,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_20,X_20)),multiply(X_3,divide(X_20,X_20)))))) = X_3,
inference(subst,[],[refute_0_33:[bind(X_5,$fot(divide(X_20,X_20)))]]) ).
cnf(refute_0_111,plain,
multiply(X_7,divide(X_20,X_20)) = X_7,
inference(subst,[],[refute_0_38:[bind(X_11,$fot(X_20)),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_112,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_20,X_20)),multiply(X_3,divide(X_20,X_20)))))) != X_3
| multiply(X_7,divide(X_20,X_20)) != X_7
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_20,X_20)),multiply(X_3,divide(X_20,X_20)))))),X_3) ),[0,1,1,1,0],$fot(X_7)]]) ).
cnf(refute_0_113,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_20,X_20)),multiply(X_3,divide(X_20,X_20)))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_7,divide(X_20,X_20)),X_7) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(multiply(X_7,divide(X_20,X_20)),multiply(X_3,divide(X_20,X_20)))))),X_3) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
divide(X_7,multiply(X_3,divide(X_20,X_20))) = divide(X_7,multiply(X_3,divide(X_20,X_20))),
introduced(tautology,[refl,[$fot(divide(X_7,multiply(X_3,divide(X_20,X_20))))]]) ).
cnf(refute_0_116,plain,
( multiply(X_3,divide(X_20,X_20)) != X_3
| divide(X_7,multiply(X_3,divide(X_20,X_20))) != divide(X_7,multiply(X_3,divide(X_20,X_20)))
| divide(X_7,multiply(X_3,divide(X_20,X_20))) = divide(X_7,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,multiply(X_3,divide(X_20,X_20))),divide(X_7,multiply(X_3,divide(X_20,X_20)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_117,plain,
( multiply(X_3,divide(X_20,X_20)) != X_3
| divide(X_7,multiply(X_3,divide(X_20,X_20))) = divide(X_7,X_3) ),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_3,divide(X_20,X_20))),divide(X_7,multiply(X_3,divide(X_20,X_20)))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
divide(X_7,multiply(X_3,divide(X_20,X_20))) = divide(X_7,X_3),
inference(resolve,[$cnf( $equal(multiply(X_3,divide(X_20,X_20)),X_3) )],[refute_0_39,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) = multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))]]) ).
cnf(refute_0_120,plain,
( multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) != multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))
| divide(X_7,multiply(X_3,divide(X_20,X_20))) != divide(X_7,X_3)
| multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) = multiply(X_2,divide(X_7,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))),multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) ),[1,1],$fot(divide(X_7,X_3))]]) ).
cnf(refute_0_121,plain,
( divide(X_7,multiply(X_3,divide(X_20,X_20))) != divide(X_7,X_3)
| multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) = multiply(X_2,divide(X_7,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))),multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) = multiply(X_2,divide(X_7,X_3)),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_3,divide(X_20,X_20))),divide(X_7,X_3)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) = divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))),
introduced(tautology,[refl,[$fot(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))))]]) ).
cnf(refute_0_124,plain,
( multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) != multiply(X_2,divide(X_7,X_3))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) != divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) = divide(X_7,multiply(X_2,divide(X_7,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))),divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) ),[1,1],$fot(multiply(X_2,divide(X_7,X_3)))]]) ).
cnf(refute_0_125,plain,
( multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))) != multiply(X_2,divide(X_7,X_3))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) = divide(X_7,multiply(X_2,divide(X_7,X_3))) ),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))),divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) = divide(X_7,multiply(X_2,divide(X_7,X_3))),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))),multiply(X_2,divide(X_7,X_3))) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))))]]) ).
cnf(refute_0_128,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) != multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))))
| divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) != 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_20,X_20)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))),multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))))) ),[1,1],$fot(divide(X_7,multiply(X_2,divide(X_7,X_3))))]]) ).
cnf(refute_0_129,plain,
( divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))) != 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_20,X_20)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))),multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) = multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))),
inference(resolve,[$cnf( $equal(divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20))))),divide(X_7,multiply(X_2,divide(X_7,X_3)))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) != multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3))))
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))),X_3) ),[0],$fot(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))))]]) ).
cnf(refute_0_132,plain,
( multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))) != X_3
| multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))),multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,X_3)))) = X_3,
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_7,multiply(X_2,divide(X_7,multiply(X_3,divide(X_20,X_20)))))),X_3) )],[refute_0_114,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(X_30,divide(X_32,multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))))) = multiply(X_30,divide(divide(X_32,C),divide(X_7,C))),
inference(subst,[],[refute_0_133:[bind(X_2,$fot(X_30)),bind(X_3,$fot(multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))),bind(X_7,$fot(X_32))]]) ).
cnf(refute_0_135,plain,
multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_7,C))),multiply(X_6,divide(divide(B,C),divide(X_7,C))))) = X_7,
inference(subst,[],[refute_0_27:[bind(B,$fot(divide(divide(B,C),divide(X_7,C)))),bind(X_2,$fot(X_6)),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_136,plain,
multiply(X_7,divide(divide(B,C),divide(X_7,C))) = B,
inference(subst,[],[refute_0_8:[bind(A,$fot(X_7))]]) ).
cnf(refute_0_137,plain,
( multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_7,C))),multiply(X_6,divide(divide(B,C),divide(X_7,C))))) != X_7
| multiply(X_7,divide(divide(B,C),divide(X_7,C))) != B
| multiply(X_6,divide(B,multiply(X_6,divide(divide(B,C),divide(X_7,C))))) = X_7 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_7,C))),multiply(X_6,divide(divide(B,C),divide(X_7,C))))),X_7) ),[0,1,0],$fot(B)]]) ).
cnf(refute_0_138,plain,
( multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_7,C))),multiply(X_6,divide(divide(B,C),divide(X_7,C))))) != X_7
| multiply(X_6,divide(B,multiply(X_6,divide(divide(B,C),divide(X_7,C))))) = X_7 ),
inference(resolve,[$cnf( $equal(multiply(X_7,divide(divide(B,C),divide(X_7,C))),B) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(X_6,divide(B,multiply(X_6,divide(divide(B,C),divide(X_7,C))))) = X_7,
inference(resolve,[$cnf( $equal(multiply(X_6,divide(multiply(X_7,divide(divide(B,C),divide(X_7,C))),multiply(X_6,divide(divide(B,C),divide(X_7,C))))),X_7) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))) = X_7,
inference(subst,[],[refute_0_139:[bind(B,$fot(X_32)),bind(X_6,$fot(X_30))]]) ).
cnf(refute_0_141,plain,
( multiply(X_30,divide(X_32,multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))))) != multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))
| multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))) != X_7
| multiply(X_30,divide(X_32,X_7)) = multiply(X_30,divide(divide(X_32,C),divide(X_7,C))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_30,divide(X_32,multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))))),multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))) ),[0,1,1],$fot(X_7)]]) ).
cnf(refute_0_142,plain,
( multiply(X_30,divide(X_32,multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))))) != multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))
| multiply(X_30,divide(X_32,X_7)) = multiply(X_30,divide(divide(X_32,C),divide(X_7,C))) ),
inference(resolve,[$cnf( $equal(multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))),X_7) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(X_30,divide(X_32,X_7)) = multiply(X_30,divide(divide(X_32,C),divide(X_7,C))),
inference(resolve,[$cnf( $equal(multiply(X_30,divide(X_32,multiply(X_30,divide(X_32,multiply(X_30,divide(divide(X_32,C),divide(X_7,C))))))),multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))) )],[refute_0_134,refute_0_142]) ).
cnf(refute_0_144,plain,
( multiply(X_30,divide(X_32,X_7)) != multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))
| multiply(X_30,divide(divide(X_32,C),divide(X_7,C))) = multiply(X_30,divide(X_32,X_7)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_30,divide(X_32,X_7)))),bind(Y,$fot(multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))))]]) ).
cnf(refute_0_145,plain,
multiply(X_30,divide(divide(X_32,C),divide(X_7,C))) = multiply(X_30,divide(X_32,X_7)),
inference(resolve,[$cnf( $equal(multiply(X_30,divide(X_32,X_7)),multiply(X_30,divide(divide(X_32,C),divide(X_7,C)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))) = multiply(X_15,divide(inverse(B),X_14)),
inference(subst,[],[refute_0_145:[bind(C,$fot(X_13)),bind(X_30,$fot(X_15)),bind(X_32,$fot(inverse(B))),bind(X_7,$fot(X_14))]]) ).
cnf(refute_0_147,plain,
multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) = multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B),
introduced(tautology,[refl,[$fot(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B))]]) ).
cnf(refute_0_148,plain,
( multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))) != multiply(X_15,divide(inverse(B),X_14))
| multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) != multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)
| multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) = multiply(multiply(X_15,divide(inverse(B),X_14)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B),multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) ),[1,0],$fot(multiply(X_15,divide(inverse(B),X_14)))]]) ).
cnf(refute_0_149,plain,
( multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))) != multiply(X_15,divide(inverse(B),X_14))
| multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) = multiply(multiply(X_15,divide(inverse(B),X_14)),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B),multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) = multiply(multiply(X_15,divide(inverse(B),X_14)),B),
inference(resolve,[$cnf( $equal(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),multiply(X_15,divide(inverse(B),X_14))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)),
introduced(tautology,[refl,[$fot(multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)))]]) ).
cnf(refute_0_152,plain,
( multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) != multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B))
| multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) != multiply(multiply(X_15,divide(inverse(B),X_14)),B)
| multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)),multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B))) ),[1,1],$fot(multiply(multiply(X_15,divide(inverse(B),X_14)),B))]]) ).
cnf(refute_0_153,plain,
( multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B) != multiply(multiply(X_15,divide(inverse(B),X_14)),B)
| multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)),multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) = multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B),multiply(multiply(X_15,divide(inverse(B),X_14)),B)) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) != X_15
| multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) != multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B))
| multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)),X_15) ),[0],$fot(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)))]]) ).
cnf(refute_0_156,plain,
( multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)) != X_15
| multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = X_15 ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)),multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = X_15,
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(divide(inverse(B),X_13),divide(X_14,X_13))),B)),X_15) )],[refute_0_109,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) = divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))),
inference(subst,[],[refute_0_75:[bind(X_23,$fot(divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))))]]) ).
cnf(refute_0_159,plain,
multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) = X_31,
inference(subst,[],[refute_0_133:[bind(X_2,$fot(inverse(multiply(inverse(X_26),X_26)))),bind(X_3,$fot(X_31)),bind(X_7,$fot(X_32))]]) ).
cnf(refute_0_160,plain,
( multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) != X_31
| multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) != divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))
| X_31 = divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) ),[0],$fot(X_31)]]) ).
cnf(refute_0_161,plain,
( multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) != divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))
| X_31 = divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))),X_31) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
X_31 = divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)) = divide(X_32,X_31),
inference(subst,[],[refute_0_75:[bind(X_23,$fot(divide(X_32,X_31)))]]) ).
cnf(refute_0_164,plain,
divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) = divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))),
introduced(tautology,[refl,[$fot(divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))))]]) ).
cnf(refute_0_165,plain,
( multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)) != divide(X_32,X_31)
| divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) != divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))
| divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) = divide(X_32,divide(X_32,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) ),[1,1],$fot(divide(X_32,X_31))]]) ).
cnf(refute_0_166,plain,
( multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)) != divide(X_32,X_31)
| divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) = divide(X_32,divide(X_32,X_31)) ),
inference(resolve,[$cnf( $equal(divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))),divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) = divide(X_32,divide(X_32,X_31)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)),divide(X_32,X_31)) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
( X_31 != divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))
| divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))) != divide(X_32,divide(X_32,X_31))
| X_31 = divide(X_32,divide(X_32,X_31)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,divide(X_32,divide(X_32,X_31))) ),[0],$fot(divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))))]]) ).
cnf(refute_0_169,plain,
( X_31 != divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))
| X_31 = divide(X_32,divide(X_32,X_31)) ),
inference(resolve,[$cnf( $equal(divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31))),divide(X_32,divide(X_32,X_31))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
X_31 = divide(X_32,divide(X_32,X_31)),
inference(resolve,[$cnf( $equal(X_31,divide(X_32,multiply(inverse(multiply(inverse(X_26),X_26)),divide(X_32,X_31)))) )],[refute_0_162,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(B) = divide(X_34,divide(X_34,inverse(B))),
inference(subst,[],[refute_0_170:[bind(X_31,$fot(inverse(B))),bind(X_32,$fot(X_34))]]) ).
cnf(refute_0_172,plain,
multiply(X_34,B) = divide(X_34,inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(X_34))]]) ).
cnf(refute_0_173,plain,
( multiply(X_34,B) != divide(X_34,inverse(B))
| divide(X_34,inverse(B)) = multiply(X_34,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_34,B))),bind(Y,$fot(divide(X_34,inverse(B))))]]) ).
cnf(refute_0_174,plain,
divide(X_34,inverse(B)) = multiply(X_34,B),
inference(resolve,[$cnf( $equal(multiply(X_34,B),divide(X_34,inverse(B))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( divide(X_34,inverse(B)) != multiply(X_34,B)
| inverse(B) != divide(X_34,divide(X_34,inverse(B)))
| inverse(B) = divide(X_34,multiply(X_34,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(B),divide(X_34,divide(X_34,inverse(B)))) ),[1,1],$fot(multiply(X_34,B))]]) ).
cnf(refute_0_176,plain,
( inverse(B) != divide(X_34,divide(X_34,inverse(B)))
| inverse(B) = divide(X_34,multiply(X_34,B)) ),
inference(resolve,[$cnf( $equal(divide(X_34,inverse(B)),multiply(X_34,B)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
inverse(B) = divide(X_34,multiply(X_34,B)),
inference(resolve,[$cnf( $equal(inverse(B),divide(X_34,divide(X_34,inverse(B)))) )],[refute_0_171,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(multiply(X_23,B)) = divide(inverse(B),multiply(inverse(B),multiply(X_23,B))),
inference(subst,[],[refute_0_177:[bind(B,$fot(multiply(X_23,B))),bind(X_34,$fot(inverse(B)))]]) ).
cnf(refute_0_179,plain,
( multiply(inverse(B),multiply(X_23,B)) != X_23
| inverse(multiply(X_23,B)) != divide(inverse(B),multiply(inverse(B),multiply(X_23,B)))
| inverse(multiply(X_23,B)) = divide(inverse(B),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_23,B)),divide(inverse(B),multiply(inverse(B),multiply(X_23,B)))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_180,plain,
( inverse(multiply(X_23,B)) != divide(inverse(B),multiply(inverse(B),multiply(X_23,B)))
| inverse(multiply(X_23,B)) = divide(inverse(B),X_23) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_23,B)),X_23) )],[refute_0_63,refute_0_179]) ).
cnf(refute_0_181,plain,
inverse(multiply(X_23,B)) = divide(inverse(B),X_23),
inference(resolve,[$cnf( $equal(inverse(multiply(X_23,B)),divide(inverse(B),multiply(inverse(B),multiply(X_23,B)))) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
( inverse(multiply(X_23,B)) != divide(inverse(B),X_23)
| divide(inverse(B),X_23) = inverse(multiply(X_23,B)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_23,B)))),bind(Y,$fot(divide(inverse(B),X_23)))]]) ).
cnf(refute_0_183,plain,
divide(inverse(B),X_23) = inverse(multiply(X_23,B)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_23,B)),divide(inverse(B),X_23)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
divide(inverse(B),X_14) = inverse(multiply(X_14,B)),
inference(subst,[],[refute_0_183:[bind(X_23,$fot(X_14))]]) ).
cnf(refute_0_185,plain,
multiply(X_15,divide(inverse(B),X_14)) = multiply(X_15,divide(inverse(B),X_14)),
introduced(tautology,[refl,[$fot(multiply(X_15,divide(inverse(B),X_14)))]]) ).
cnf(refute_0_186,plain,
( multiply(X_15,divide(inverse(B),X_14)) != multiply(X_15,divide(inverse(B),X_14))
| divide(inverse(B),X_14) != inverse(multiply(X_14,B))
| multiply(X_15,divide(inverse(B),X_14)) = multiply(X_15,inverse(multiply(X_14,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,divide(inverse(B),X_14)),multiply(X_15,divide(inverse(B),X_14))) ),[1,1],$fot(inverse(multiply(X_14,B)))]]) ).
cnf(refute_0_187,plain,
( divide(inverse(B),X_14) != inverse(multiply(X_14,B))
| multiply(X_15,divide(inverse(B),X_14)) = multiply(X_15,inverse(multiply(X_14,B))) ),
inference(resolve,[$cnf( $equal(multiply(X_15,divide(inverse(B),X_14)),multiply(X_15,divide(inverse(B),X_14))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(X_15,divide(inverse(B),X_14)) = multiply(X_15,inverse(multiply(X_14,B))),
inference(resolve,[$cnf( $equal(divide(inverse(B),X_14),inverse(multiply(X_14,B))) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(multiply(X_15,divide(inverse(B),X_14)),B) = multiply(multiply(X_15,divide(inverse(B),X_14)),B),
introduced(tautology,[refl,[$fot(multiply(multiply(X_15,divide(inverse(B),X_14)),B))]]) ).
cnf(refute_0_190,plain,
( multiply(X_15,divide(inverse(B),X_14)) != multiply(X_15,inverse(multiply(X_14,B)))
| multiply(multiply(X_15,divide(inverse(B),X_14)),B) != multiply(multiply(X_15,divide(inverse(B),X_14)),B)
| multiply(multiply(X_15,divide(inverse(B),X_14)),B) = multiply(multiply(X_15,inverse(multiply(X_14,B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,divide(inverse(B),X_14)),B),multiply(multiply(X_15,divide(inverse(B),X_14)),B)) ),[1,0],$fot(multiply(X_15,inverse(multiply(X_14,B))))]]) ).
cnf(refute_0_191,plain,
( multiply(X_15,divide(inverse(B),X_14)) != multiply(X_15,inverse(multiply(X_14,B)))
| multiply(multiply(X_15,divide(inverse(B),X_14)),B) = multiply(multiply(X_15,inverse(multiply(X_14,B))),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,divide(inverse(B),X_14)),B),multiply(multiply(X_15,divide(inverse(B),X_14)),B)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(multiply(X_15,divide(inverse(B),X_14)),B) = multiply(multiply(X_15,inverse(multiply(X_14,B))),B),
inference(resolve,[$cnf( $equal(multiply(X_15,divide(inverse(B),X_14)),multiply(X_15,inverse(multiply(X_14,B)))) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),
introduced(tautology,[refl,[$fot(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)))]]) ).
cnf(refute_0_194,plain,
( multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) != multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B))
| multiply(multiply(X_15,divide(inverse(B),X_14)),B) != multiply(multiply(X_15,inverse(multiply(X_14,B))),B)
| multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B))) ),[1,1],$fot(multiply(multiply(X_15,inverse(multiply(X_14,B))),B))]]) ).
cnf(refute_0_195,plain,
( multiply(multiply(X_15,divide(inverse(B),X_14)),B) != multiply(multiply(X_15,inverse(multiply(X_14,B))),B)
| multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) = multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,divide(inverse(B),X_14)),B),multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
( multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) != X_15
| multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) != multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B))
| multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),X_15) ),[0],$fot(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)))]]) ).
cnf(refute_0_198,plain,
( multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)) != X_15
| multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = X_15 ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = X_15,
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,divide(inverse(B),X_14)),B)),X_15) )],[refute_0_157,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(X_6,divide(multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))),B)) = divide(X_6,C),
inference(subst,[],[refute_0_102:[bind(X_7,$fot(divide(X_6,C)))]]) ).
cnf(refute_0_201,plain,
multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))) = divide(B,C),
inference(subst,[],[refute_0_54:[bind(X_2,$fot(divide(X_6,C))),bind(X_3,$fot(divide(B,C)))]]) ).
cnf(refute_0_202,plain,
( multiply(X_6,divide(multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))),B)) != divide(X_6,C)
| multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))) != divide(B,C)
| multiply(X_6,divide(divide(B,C),B)) = divide(X_6,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,divide(multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))),B)),divide(X_6,C)) ),[0,1,0],$fot(divide(B,C))]]) ).
cnf(refute_0_203,plain,
( multiply(X_6,divide(multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))),B)) != divide(X_6,C)
| multiply(X_6,divide(divide(B,C),B)) = divide(X_6,C) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))),divide(B,C)) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(X_6,divide(divide(B,C),B)) = divide(X_6,C),
inference(resolve,[$cnf( $equal(multiply(X_6,divide(multiply(divide(X_6,C),divide(divide(B,C),divide(X_6,C))),B)),divide(X_6,C)) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(divide(X_3,X_36)) = divide(X_36,multiply(X_36,divide(X_3,X_36))),
inference(subst,[],[refute_0_177:[bind(B,$fot(divide(X_3,X_36))),bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_206,plain,
multiply(X_36,divide(X_3,X_36)) = X_3,
inference(subst,[],[refute_0_54:[bind(X_2,$fot(X_36))]]) ).
cnf(refute_0_207,plain,
( multiply(X_36,divide(X_3,X_36)) != X_3
| inverse(divide(X_3,X_36)) != divide(X_36,multiply(X_36,divide(X_3,X_36)))
| inverse(divide(X_3,X_36)) = divide(X_36,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_3,X_36)),divide(X_36,multiply(X_36,divide(X_3,X_36)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_208,plain,
( inverse(divide(X_3,X_36)) != divide(X_36,multiply(X_36,divide(X_3,X_36)))
| inverse(divide(X_3,X_36)) = divide(X_36,X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_36,divide(X_3,X_36)),X_3) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
inverse(divide(X_3,X_36)) = divide(X_36,X_3),
inference(resolve,[$cnf( $equal(inverse(divide(X_3,X_36)),divide(X_36,multiply(X_36,divide(X_3,X_36)))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(divide(X_39,divide(X_39,X_31))) = divide(divide(X_39,X_31),X_39),
inference(subst,[],[refute_0_209:[bind(X_3,$fot(X_39)),bind(X_36,$fot(divide(X_39,X_31)))]]) ).
cnf(refute_0_211,plain,
X_31 = divide(X_39,divide(X_39,X_31)),
inference(subst,[],[refute_0_170:[bind(X_32,$fot(X_39))]]) ).
cnf(refute_0_212,plain,
( X_31 != divide(X_39,divide(X_39,X_31))
| divide(X_39,divide(X_39,X_31)) = X_31 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_31)),bind(Y,$fot(divide(X_39,divide(X_39,X_31))))]]) ).
cnf(refute_0_213,plain,
divide(X_39,divide(X_39,X_31)) = X_31,
inference(resolve,[$cnf( $equal(X_31,divide(X_39,divide(X_39,X_31))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
( divide(X_39,divide(X_39,X_31)) != X_31
| inverse(divide(X_39,divide(X_39,X_31))) != divide(divide(X_39,X_31),X_39)
| inverse(X_31) = divide(divide(X_39,X_31),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_39,divide(X_39,X_31))),divide(divide(X_39,X_31),X_39)) ),[0,0],$fot(X_31)]]) ).
cnf(refute_0_215,plain,
( inverse(divide(X_39,divide(X_39,X_31))) != divide(divide(X_39,X_31),X_39)
| inverse(X_31) = divide(divide(X_39,X_31),X_39) ),
inference(resolve,[$cnf( $equal(divide(X_39,divide(X_39,X_31)),X_31) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
inverse(X_31) = divide(divide(X_39,X_31),X_39),
inference(resolve,[$cnf( $equal(inverse(divide(X_39,divide(X_39,X_31))),divide(divide(X_39,X_31),X_39)) )],[refute_0_210,refute_0_215]) ).
cnf(refute_0_217,plain,
( inverse(X_31) != divide(divide(X_39,X_31),X_39)
| divide(divide(X_39,X_31),X_39) = inverse(X_31) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_31))),bind(Y,$fot(divide(divide(X_39,X_31),X_39)))]]) ).
cnf(refute_0_218,plain,
divide(divide(X_39,X_31),X_39) = inverse(X_31),
inference(resolve,[$cnf( $equal(inverse(X_31),divide(divide(X_39,X_31),X_39)) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
divide(divide(B,C),B) = inverse(C),
inference(subst,[],[refute_0_218:[bind(X_31,$fot(C)),bind(X_39,$fot(B))]]) ).
cnf(refute_0_220,plain,
multiply(X_6,divide(divide(B,C),B)) = multiply(X_6,divide(divide(B,C),B)),
introduced(tautology,[refl,[$fot(multiply(X_6,divide(divide(B,C),B)))]]) ).
cnf(refute_0_221,plain,
( multiply(X_6,divide(divide(B,C),B)) != multiply(X_6,divide(divide(B,C),B))
| divide(divide(B,C),B) != inverse(C)
| multiply(X_6,divide(divide(B,C),B)) = multiply(X_6,inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,divide(divide(B,C),B)),multiply(X_6,divide(divide(B,C),B))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_222,plain,
( divide(divide(B,C),B) != inverse(C)
| multiply(X_6,divide(divide(B,C),B)) = multiply(X_6,inverse(C)) ),
inference(resolve,[$cnf( $equal(multiply(X_6,divide(divide(B,C),B)),multiply(X_6,divide(divide(B,C),B))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
multiply(X_6,divide(divide(B,C),B)) = multiply(X_6,inverse(C)),
inference(resolve,[$cnf( $equal(divide(divide(B,C),B),inverse(C)) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(X_6,divide(divide(B,C),B)) != multiply(X_6,inverse(C))
| multiply(X_6,divide(divide(B,C),B)) != divide(X_6,C)
| multiply(X_6,inverse(C)) = divide(X_6,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_6,divide(divide(B,C),B)),divide(X_6,C)) ),[0],$fot(multiply(X_6,inverse(C)))]]) ).
cnf(refute_0_225,plain,
( multiply(X_6,divide(divide(B,C),B)) != divide(X_6,C)
| multiply(X_6,inverse(C)) = divide(X_6,C) ),
inference(resolve,[$cnf( $equal(multiply(X_6,divide(divide(B,C),B)),multiply(X_6,inverse(C))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(X_6,inverse(C)) = divide(X_6,C),
inference(resolve,[$cnf( $equal(multiply(X_6,divide(divide(B,C),B)),divide(X_6,C)) )],[refute_0_204,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(X_15,inverse(multiply(X_14,B))) = divide(X_15,multiply(X_14,B)),
inference(subst,[],[refute_0_226:[bind(C,$fot(multiply(X_14,B))),bind(X_6,$fot(X_15))]]) ).
cnf(refute_0_228,plain,
multiply(multiply(X_15,inverse(multiply(X_14,B))),B) = multiply(multiply(X_15,inverse(multiply(X_14,B))),B),
introduced(tautology,[refl,[$fot(multiply(multiply(X_15,inverse(multiply(X_14,B))),B))]]) ).
cnf(refute_0_229,plain,
( multiply(X_15,inverse(multiply(X_14,B))) != divide(X_15,multiply(X_14,B))
| multiply(multiply(X_15,inverse(multiply(X_14,B))),B) != multiply(multiply(X_15,inverse(multiply(X_14,B))),B)
| multiply(multiply(X_15,inverse(multiply(X_14,B))),B) = multiply(divide(X_15,multiply(X_14,B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,inverse(multiply(X_14,B))),B),multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) ),[1,0],$fot(divide(X_15,multiply(X_14,B)))]]) ).
cnf(refute_0_230,plain,
( multiply(X_15,inverse(multiply(X_14,B))) != divide(X_15,multiply(X_14,B))
| multiply(multiply(X_15,inverse(multiply(X_14,B))),B) = multiply(divide(X_15,multiply(X_14,B)),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,inverse(multiply(X_14,B))),B),multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(multiply(X_15,inverse(multiply(X_14,B))),B) = multiply(divide(X_15,multiply(X_14,B)),B),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(X_14,B))),divide(X_15,multiply(X_14,B))) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),
introduced(tautology,[refl,[$fot(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)))]]) ).
cnf(refute_0_233,plain,
( multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) != multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B))
| multiply(multiply(X_15,inverse(multiply(X_14,B))),B) != multiply(divide(X_15,multiply(X_14,B)),B)
| multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B))) ),[1,1],$fot(multiply(divide(X_15,multiply(X_14,B)),B))]]) ).
cnf(refute_0_234,plain,
( multiply(multiply(X_15,inverse(multiply(X_14,B))),B) != multiply(divide(X_15,multiply(X_14,B)),B)
| multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) = multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,inverse(multiply(X_14,B))),B),multiply(divide(X_15,multiply(X_14,B)),B)) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
( multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) != X_15
| multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) != multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B))
| multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),X_15) ),[0],$fot(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)))]]) ).
cnf(refute_0_237,plain,
( multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)) != X_15
| multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = X_15 ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = X_15,
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(multiply(X_15,inverse(multiply(X_14,B))),B)),X_15) )],[refute_0_199,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(divide(X_15,multiply(X_14,B)),B) = multiply(B,divide(X_15,multiply(X_14,B))),
inference(subst,[],[refute_0_93:[bind(X_2,$fot(B)),bind(X_55,$fot(divide(X_15,multiply(X_14,B))))]]) ).
cnf(refute_0_240,plain,
multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),
introduced(tautology,[refl,[$fot(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)))]]) ).
cnf(refute_0_241,plain,
( multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) != multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B))
| multiply(divide(X_15,multiply(X_14,B)),B) != multiply(B,divide(X_15,multiply(X_14,B)))
| multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B))) ),[1,1],$fot(multiply(B,divide(X_15,multiply(X_14,B))))]]) ).
cnf(refute_0_242,plain,
( multiply(divide(X_15,multiply(X_14,B)),B) != multiply(B,divide(X_15,multiply(X_14,B)))
| multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))) ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) = multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))),
inference(resolve,[$cnf( $equal(multiply(divide(X_15,multiply(X_14,B)),B),multiply(B,divide(X_15,multiply(X_14,B)))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) != X_15
| multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) != multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B))))
| multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),X_15) ),[0],$fot(multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))))]]) ).
cnf(refute_0_245,plain,
( multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)) != X_15
| multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))) = X_15 ),
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B))))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(X_14,multiply(B,divide(X_15,multiply(X_14,B)))) = X_15,
inference(resolve,[$cnf( $equal(multiply(X_14,multiply(divide(X_15,multiply(X_14,B)),B)),X_15) )],[refute_0_238,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(X_59,multiply(X_58,divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)))) = multiply(X_3,multiply(X_59,X_58)),
inference(subst,[],[refute_0_246:[bind(B,$fot(X_58)),bind(X_14,$fot(X_59)),bind(X_15,$fot(multiply(X_3,multiply(X_59,X_58))))]]) ).
cnf(refute_0_248,plain,
divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)) = X_3,
inference(subst,[],[refute_0_87:[bind(B,$fot(multiply(X_59,X_58)))]]) ).
cnf(refute_0_249,plain,
( multiply(X_59,multiply(X_58,divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)))) != multiply(X_3,multiply(X_59,X_58))
| divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)) != X_3
| multiply(X_59,multiply(X_58,X_3)) = multiply(X_3,multiply(X_59,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,multiply(X_58,divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)))),multiply(X_3,multiply(X_59,X_58))) ),[0,1,1],$fot(X_3)]]) ).
cnf(refute_0_250,plain,
( multiply(X_59,multiply(X_58,divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)))) != multiply(X_3,multiply(X_59,X_58))
| multiply(X_59,multiply(X_58,X_3)) = multiply(X_3,multiply(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)),X_3) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(X_59,multiply(X_58,X_3)) = multiply(X_3,multiply(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_59,multiply(X_58,divide(multiply(X_3,multiply(X_59,X_58)),multiply(X_59,X_58)))),multiply(X_3,multiply(X_59,X_58))) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( multiply(X_59,multiply(X_58,X_3)) != multiply(X_3,multiply(X_59,X_58))
| multiply(X_3,multiply(X_59,X_58)) = multiply(X_59,multiply(X_58,X_3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_59,multiply(X_58,X_3)))),bind(Y,$fot(multiply(X_3,multiply(X_59,X_58))))]]) ).
cnf(refute_0_253,plain,
multiply(X_3,multiply(X_59,X_58)) = multiply(X_59,multiply(X_58,X_3)),
inference(resolve,[$cnf( $equal(multiply(X_59,multiply(X_58,X_3)),multiply(X_3,multiply(X_59,X_58))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_253:[bind(X_3,$fot(c3)),bind(X_58,$fot(b3)),bind(X_59,$fot(a3))]]) ).
cnf(refute_0_255,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_256,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_256,refute_0_97]) ).
cnf(refute_0_258,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_259,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_258,refute_0_257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP559-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 03:43:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43
% 0.18/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.47
%------------------------------------------------------------------------------