TSTP Solution File: GRP467-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:40:49 EDT 2022
% Result : Unsatisfiable 1.95s 2.16s
% Output : CNFRefutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 72
% Syntax : Number of clauses : 251 ( 132 unt; 0 nHn; 94 RR)
% Number of literals : 427 ( 426 equ; 178 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 1093 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,inverse(B)) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2 ).
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( $equal(multiply(A,B),divide(A,inverse(B))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(C,divide(D,B)),inverse(D)) = multiply(divide(C,divide(D,B)),D),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(C,divide(D,B)))),bind(B,$fot(D))]]) ).
cnf(refute_0_6,plain,
divide(B,divide(divide(C,divide(D,B)),inverse(D))) = divide(B,divide(divide(C,divide(D,B)),inverse(D))),
introduced(tautology,[refl,[$fot(divide(B,divide(divide(C,divide(D,B)),inverse(D))))]]) ).
cnf(refute_0_7,plain,
( divide(B,divide(divide(C,divide(D,B)),inverse(D))) != divide(B,divide(divide(C,divide(D,B)),inverse(D)))
| divide(divide(C,divide(D,B)),inverse(D)) != multiply(divide(C,divide(D,B)),D)
| divide(B,divide(divide(C,divide(D,B)),inverse(D))) = divide(B,multiply(divide(C,divide(D,B)),D)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) ),[1,1],$fot(multiply(divide(C,divide(D,B)),D))]]) ).
cnf(refute_0_8,plain,
( divide(divide(C,divide(D,B)),inverse(D)) != multiply(divide(C,divide(D,B)),D)
| divide(B,divide(divide(C,divide(D,B)),inverse(D))) = divide(B,multiply(divide(C,divide(D,B)),D)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(B,divide(divide(C,divide(D,B)),inverse(D))) = divide(B,multiply(divide(C,divide(D,B)),D)),
inference(resolve,[$cnf( $equal(divide(divide(C,divide(D,B)),inverse(D)),multiply(divide(C,divide(D,B)),D)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),
introduced(tautology,[refl,[$fot(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))))]]) ).
cnf(refute_0_11,plain,
( divide(B,divide(divide(C,divide(D,B)),inverse(D))) != divide(B,multiply(divide(C,divide(D,B)),D))
| divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) != divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D))))
| divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D))))) ),[1,1],$fot(divide(B,multiply(divide(C,divide(D,B)),D)))]]) ).
cnf(refute_0_12,plain,
( divide(B,divide(divide(C,divide(D,B)),inverse(D))) != divide(B,multiply(divide(C,divide(D,B)),D))
| divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D))))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(C,divide(D,B)),inverse(D))),divide(B,multiply(divide(C,divide(D,B)),D))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) != C
| divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) != divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D)))
| divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),C) ),[0],$fot(divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))))]]) ).
cnf(refute_0_15,plain,
( divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) != C
| divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))) = C ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D)))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(D,B)),D))) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))),C) )],[single_axiom,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(divide(inverse(B),inverse(B)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) = X_4,
inference(subst,[],[refute_0_16:[bind(A,$fot(inverse(B))),bind(B,$fot(X_3)),bind(C,$fot(X_4)),bind(D,$fot(X_5))]]) ).
cnf(refute_0_18,plain,
multiply(inverse(B),B) = divide(inverse(B),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_19,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_20,plain,
divide(inverse(B),inverse(B)) = multiply(inverse(B),B),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),divide(inverse(B),inverse(B))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( divide(divide(inverse(B),inverse(B)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) != X_4
| divide(inverse(B),inverse(B)) != multiply(inverse(B),B)
| divide(multiply(inverse(B),B),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(inverse(B),inverse(B)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))),X_4) ),[0,0],$fot(multiply(inverse(B),B))]]) ).
cnf(refute_0_22,plain,
( divide(divide(inverse(B),inverse(B)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) != X_4
| divide(multiply(inverse(B),B),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) = X_4 ),
inference(resolve,[$cnf( $equal(divide(inverse(B),inverse(B)),multiply(inverse(B),B)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(multiply(inverse(B),B),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),inverse(B)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))),X_4) )],[refute_0_17,refute_0_22]) ).
cnf(refute_0_24,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))),divide(X_30,X_30)))) = X_4,
inference(subst,[],[refute_0_23:[bind(X_3,$fot(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))),bind(X_5,$fot(divide(X_30,X_30)))]]) ).
cnf(refute_0_25,plain,
divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))),D))) = divide(X_2,X_2),
inference(subst,[],[refute_0_16:[bind(B,$fot(multiply(divide(X_4,divide(X_5,D)),X_5))),bind(C,$fot(divide(X_2,X_2)))]]) ).
cnf(refute_0_26,plain,
divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))) = X_4,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_2)),bind(B,$fot(D)),bind(C,$fot(X_4)),bind(D,$fot(X_5))]]) ).
cnf(refute_0_27,plain,
( divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))),D))) != divide(X_2,X_2)
| divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))) != X_4
| divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(X_4,D))) = divide(X_2,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))),D))),divide(X_2,X_2)) ),[0,1,1,0],$fot(X_4)]]) ).
cnf(refute_0_28,plain,
( divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))),D))) != divide(X_2,X_2)
| divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(X_4,D))) = divide(X_2,X_2) ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))),X_4) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(X_4,D))) = divide(X_2,X_2),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(multiply(divide(X_4,divide(X_5,D)),X_5),multiply(divide(divide(X_2,X_2),divide(D,multiply(divide(X_4,divide(X_5,D)),X_5))),D))),divide(X_2,X_2)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))) = divide(X_32,X_32),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_30)),bind(D,$fot(X_31)),bind(X_2,$fot(X_32)),bind(X_4,$fot(X_33)),bind(X_5,$fot(X_34))]]) ).
cnf(refute_0_31,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))),divide(X_30,X_30)))) != X_4
| divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))) != divide(X_32,X_32)
| divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))),divide(X_30,X_30)))),X_4) ),[0,1,1,0,1],$fot(divide(X_32,X_32))]]) ).
cnf(refute_0_32,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))),divide(X_30,X_30)))) != X_4
| divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),divide(X_32,X_32)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))),divide(X_30,X_30)))),X_4) )],[refute_0_24,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(B,B)),B))) = C,
inference(subst,[],[refute_0_16:[bind(D,$fot(B))]]) ).
cnf(refute_0_35,plain,
divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))),X_5))) = divide(A,A),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_2)),bind(B,$fot(multiply(divide(C,divide(D,X_5)),D))),bind(C,$fot(divide(A,A))),bind(D,$fot(X_5))]]) ).
cnf(refute_0_36,plain,
divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))) = C,
inference(subst,[],[refute_0_16:[bind(B,$fot(X_5))]]) ).
cnf(refute_0_37,plain,
( divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))) != C
| divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))),X_5))) != divide(A,A)
| divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) = divide(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))),X_5))),divide(A,A)) ),[0,1,1,0],$fot(C)]]) ).
cnf(refute_0_38,plain,
( divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))),X_5))) != divide(A,A)
| divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) = divide(A,A) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))),C) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) = divide(A,A),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(divide(divide(A,A),divide(X_5,multiply(divide(C,divide(D,X_5)),D))),X_5))),divide(A,A)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) = divide(X_2,X_2),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_2)),bind(D,$fot(X_5)),bind(X_4,$fot(C)),bind(X_5,$fot(D))]]) ).
cnf(refute_0_41,plain,
( divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) != divide(A,A)
| divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) != divide(X_2,X_2)
| divide(X_2,X_2) = divide(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))),divide(A,A)) ),[0],$fot(divide(X_2,X_2))]]) ).
cnf(refute_0_42,plain,
( divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))) != divide(A,A)
| divide(X_2,X_2) = divide(A,A) ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))),divide(X_2,X_2)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
divide(X_2,X_2) = divide(A,A),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_2),divide(multiply(divide(C,divide(D,X_5)),D),multiply(C,X_5))),divide(A,A)) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(B,B) = divide(X_6,X_6),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_6)),bind(X_2,$fot(B))]]) ).
cnf(refute_0_45,plain,
( divide(B,B) != divide(X_6,X_6)
| divide(divide(A,A),divide(B,multiply(divide(C,divide(B,B)),B))) != C
| divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(B,B)),B))),C) ),[0,1,1,0,1],$fot(divide(X_6,X_6))]]) ).
cnf(refute_0_46,plain,
( divide(divide(A,A),divide(B,multiply(divide(C,divide(B,B)),B))) != C
| divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = C ),
inference(resolve,[$cnf( $equal(divide(B,B),divide(X_6,X_6)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(B,B)),B))),C) )],[refute_0_34,refute_0_46]) ).
cnf(refute_0_48,plain,
divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) = divide(X_30,X_30),
inference(subst,[],[refute_0_23:[bind(X_3,$fot(multiply(X_33,X_31))),bind(X_4,$fot(divide(X_30,X_30))),bind(X_5,$fot(multiply(divide(X_33,divide(X_34,X_31)),X_34)))]]) ).
cnf(refute_0_49,plain,
( divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) != divide(X_30,X_30)
| divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))) != divide(X_32,X_32)
| divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) = divide(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),multiply(divide(X_33,divide(X_34,X_31)),X_34)))),divide(X_30,X_30)) ),[0,1,1,0],$fot(divide(X_32,X_32))]]) ).
cnf(refute_0_50,plain,
( divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) != divide(X_30,X_30)
| divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) = divide(X_30,X_30) ),
inference(resolve,[$cnf( $equal(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),divide(X_32,X_32)) )],[refute_0_30,refute_0_49]) ).
cnf(refute_0_51,plain,
divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) = divide(X_30,X_30),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(divide(X_30,X_30),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))),multiply(divide(X_33,divide(X_34,X_31)),X_34)))),divide(X_30,X_30)) )],[refute_0_48,refute_0_50]) ).
cnf(refute_0_52,plain,
divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(divide(X_21,X_19),divide(X_21,X_19)),X_21))) = divide(X_21,X_19),
inference(subst,[],[refute_0_23:[bind(B,$fot(X_18)),bind(X_3,$fot(X_19)),bind(X_4,$fot(divide(X_21,X_19))),bind(X_5,$fot(X_21))]]) ).
cnf(refute_0_53,plain,
divide(X_2,X_2) = divide(divide(X_21,X_19),divide(X_21,X_19)),
inference(subst,[],[refute_0_43:[bind(A,$fot(divide(X_21,X_19)))]]) ).
cnf(refute_0_54,plain,
( divide(X_2,X_2) != divide(divide(X_21,X_19),divide(X_21,X_19))
| divide(divide(X_21,X_19),divide(X_21,X_19)) = divide(X_2,X_2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_2,X_2))),bind(Y,$fot(divide(divide(X_21,X_19),divide(X_21,X_19))))]]) ).
cnf(refute_0_55,plain,
divide(divide(X_21,X_19),divide(X_21,X_19)) = divide(X_2,X_2),
inference(resolve,[$cnf( $equal(divide(X_2,X_2),divide(divide(X_21,X_19),divide(X_21,X_19))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(divide(X_21,X_19),divide(X_21,X_19)),X_21))) != divide(X_21,X_19)
| divide(divide(X_21,X_19),divide(X_21,X_19)) != divide(X_2,X_2)
| divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(X_2,X_2),X_21))) = divide(X_21,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(divide(X_21,X_19),divide(X_21,X_19)),X_21))),divide(X_21,X_19)) ),[0,1,1,0],$fot(divide(X_2,X_2))]]) ).
cnf(refute_0_57,plain,
( divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(divide(X_21,X_19),divide(X_21,X_19)),X_21))) != divide(X_21,X_19)
| divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(X_2,X_2),X_21))) = divide(X_21,X_19) ),
inference(resolve,[$cnf( $equal(divide(divide(X_21,X_19),divide(X_21,X_19)),divide(X_2,X_2)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(X_2,X_2),X_21))) = divide(X_21,X_19),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_18),X_18),divide(X_19,multiply(divide(divide(X_21,X_19),divide(X_21,X_19)),X_21))),divide(X_21,X_19)) )],[refute_0_52,refute_0_57]) ).
cnf(refute_0_59,plain,
divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) = divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),
inference(subst,[],[refute_0_58:[bind(X_18,$fot(B)),bind(X_19,$fot(multiply(X_33,X_31))),bind(X_2,$fot(X_32)),bind(X_21,$fot(multiply(divide(X_33,divide(X_34,X_31)),X_34)))]]) ).
cnf(refute_0_60,plain,
( divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) != divide(X_30,X_30)
| divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) != divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))
| divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(X_30,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))),divide(X_30,X_30)) ),[0],$fot(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))]]) ).
cnf(refute_0_61,plain,
( divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))) != divide(X_30,X_30)
| divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(X_30,X_30) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(X_30,X_30),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(multiply(X_33,X_31),multiply(divide(X_32,X_32),multiply(divide(X_33,divide(X_34,X_31)),X_34)))),divide(X_30,X_30)) )],[refute_0_51,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(A,A),
inference(subst,[],[refute_0_62:[bind(X_30,$fot(A)),bind(X_31,$fot(X_66)),bind(X_33,$fot(X_67)),bind(X_34,$fot(X_68))]]) ).
cnf(refute_0_64,plain,
( divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(A,A)
| divide(A,A) = divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)))),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_65,plain,
divide(A,A) = divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(A,A)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( divide(A,A) != divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))
| divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != C
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),C) ),[0,0],$fot(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)))]]) ).
cnf(refute_0_67,plain,
( divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != C
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = C ),
inference(resolve,[$cnf( $equal(divide(A,A),divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),C) )],[refute_0_47,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))),divide(X_2,X_2)))) = C,
inference(subst,[],[refute_0_16:[bind(B,$fot(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))),bind(D,$fot(divide(X_2,X_2)))]]) ).
cnf(refute_0_70,plain,
divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) = X_4,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(X_4)),bind(D,$fot(X_5))]]) ).
cnf(refute_0_71,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))),divide(X_2,X_2)))) != C
| divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) != X_4
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,X_4),divide(X_2,X_2)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))),divide(X_2,X_2)))),C) ),[0,1,1,0,1],$fot(X_4)]]) ).
cnf(refute_0_72,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))),divide(X_2,X_2)))) != C
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,X_4),divide(X_2,X_2)))) = C ),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))),X_4) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,X_4),divide(X_2,X_2)))) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(C,divide(divide(X_2,X_2),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))),divide(X_2,X_2)))),C) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(X_4,X_4),divide(X_2,X_2)))) = X_4,
inference(subst,[],[refute_0_73:[bind(C,$fot(X_4))]]) ).
cnf(refute_0_75,plain,
divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(X_4,X_4),
inference(subst,[],[refute_0_62:[bind(X_30,$fot(X_4)),bind(X_31,$fot(X_66)),bind(X_33,$fot(X_67)),bind(X_34,$fot(X_68))]]) ).
cnf(refute_0_76,plain,
( divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(X_4,X_4)
| divide(X_4,X_4) = divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)))),bind(Y,$fot(divide(X_4,X_4)))]]) ).
cnf(refute_0_77,plain,
divide(X_4,X_4) = divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_4,X_4)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( divide(X_4,X_4) != divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(X_4,X_4),divide(X_2,X_2)))) != X_4
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(X_4,X_4),divide(X_2,X_2)))),X_4) ),[0,1,1,0],$fot(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)))]]) ).
cnf(refute_0_79,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(X_4,X_4),divide(X_2,X_2)))) != X_4
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = X_4 ),
inference(resolve,[$cnf( $equal(divide(X_4,X_4),divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(X_4,X_4),divide(X_2,X_2)))),X_4) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))) = divide(D,B),
inference(subst,[],[refute_0_16:[bind(C,$fot(divide(D,B)))]]) ).
cnf(refute_0_82,plain,
divide(divide(D,B),divide(D,B)) = divide(X_6,X_6),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_6)),bind(X_2,$fot(divide(D,B)))]]) ).
cnf(refute_0_83,plain,
( divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))) != divide(D,B)
| divide(divide(D,B),divide(D,B)) != divide(X_6,X_6)
| divide(divide(A,A),divide(B,multiply(divide(X_6,X_6),D))) = divide(D,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))),divide(D,B)) ),[0,1,1,0],$fot(divide(X_6,X_6))]]) ).
cnf(refute_0_84,plain,
( divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))) != divide(D,B)
| divide(divide(A,A),divide(B,multiply(divide(X_6,X_6),D))) = divide(D,B) ),
inference(resolve,[$cnf( $equal(divide(divide(D,B),divide(D,B)),divide(X_6,X_6)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
divide(divide(A,A),divide(B,multiply(divide(X_6,X_6),D))) = divide(D,B),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))),divide(D,B)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))),
inference(subst,[],[refute_0_85:[bind(B,$fot(divide(X_3,multiply(X_4,X_3)))),bind(D,$fot(divide(X_2,X_2))),bind(X_6,$fot(multiply(X_67,X_66)))]]) ).
cnf(refute_0_87,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = multiply(divide(X_67,divide(X_68,X_66)),X_68),
inference(subst,[],[refute_0_73:[bind(C,$fot(multiply(divide(X_67,divide(X_68,X_66)),X_68))),bind(X_4,$fot(multiply(X_67,X_66)))]]) ).
cnf(refute_0_88,plain,
divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(X_65,X_65),
inference(subst,[],[refute_0_62:[bind(X_30,$fot(X_65)),bind(X_31,$fot(X_66)),bind(X_33,$fot(X_67)),bind(X_34,$fot(X_68))]]) ).
cnf(refute_0_89,plain,
( divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(X_65,X_65)
| divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != multiply(divide(X_67,divide(X_68,X_66)),X_68)
| divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = multiply(divide(X_67,divide(X_68,X_66)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),multiply(divide(X_67,divide(X_68,X_66)),X_68)) ),[0,1,1,0],$fot(divide(X_65,X_65))]]) ).
cnf(refute_0_90,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != multiply(divide(X_67,divide(X_68,X_66)),X_68)
| divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = multiply(divide(X_67,divide(X_68,X_66)),X_68) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_65,X_65)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = multiply(divide(X_67,divide(X_68,X_66)),X_68),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),multiply(divide(X_67,divide(X_68,X_66)),X_68)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5))) = multiply(X_67,X_66),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(multiply(X_67,X_66))),bind(D,$fot(X_5))]]) ).
cnf(refute_0_93,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5))),
inference(subst,[],[refute_0_85:[bind(B,$fot(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)))),bind(D,$fot(divide(X_2,X_2))),bind(X_6,$fot(X_65))]]) ).
cnf(refute_0_94,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_95,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_94]) ).
cnf(refute_0_96,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) != divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)))
| divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5))) != multiply(X_67,X_66)
| divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = multiply(X_67,X_66) ),
inference(subst,[],[refute_0_95:[bind(X,$fot(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))))),bind(Y,$fot(divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5))))),bind(Z,$fot(multiply(X_67,X_66)))]]) ).
cnf(refute_0_97,plain,
( divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5))) != multiply(X_67,X_66)
| divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = multiply(X_67,X_66) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))),divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)))) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) = multiply(X_67,X_66),
inference(resolve,[$cnf( $equal(divide(divide(X_2,X_2),divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5))),multiply(X_67,X_66)) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) != multiply(X_67,X_66)
| divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) != multiply(divide(X_67,divide(X_68,X_66)),X_68)
| multiply(X_67,X_66) = multiply(divide(X_67,divide(X_68,X_66)),X_68) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))),multiply(divide(X_67,divide(X_68,X_66)),X_68)) ),[0],$fot(multiply(X_67,X_66))]]) ).
cnf(refute_0_100,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))) != multiply(divide(X_67,divide(X_68,X_66)),X_68)
| multiply(X_67,X_66) = multiply(divide(X_67,divide(X_68,X_66)),X_68) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))),multiply(X_67,X_66)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(X_67,X_66) = multiply(divide(X_67,divide(X_68,X_66)),X_68),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(multiply(X_67,X_66),divide(X_5,X_3)),X_5)),multiply(divide(X_65,X_65),divide(X_2,X_2)))),multiply(divide(X_67,divide(X_68,X_66)),X_68)) )],[refute_0_91,refute_0_100]) ).
cnf(refute_0_102,plain,
( multiply(X_67,X_66) != multiply(divide(X_67,divide(X_68,X_66)),X_68)
| multiply(divide(X_67,divide(X_68,X_66)),X_68) = multiply(X_67,X_66) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_67,X_66))),bind(Y,$fot(multiply(divide(X_67,divide(X_68,X_66)),X_68)))]]) ).
cnf(refute_0_103,plain,
multiply(divide(X_67,divide(X_68,X_66)),X_68) = multiply(X_67,X_66),
inference(resolve,[$cnf( $equal(multiply(X_67,X_66),multiply(divide(X_67,divide(X_68,X_66)),X_68)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)))]]) ).
cnf(refute_0_105,plain,
( multiply(divide(X_67,divide(X_68,X_66)),X_68) != multiply(X_67,X_66)
| divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))
| divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(multiply(X_67,X_66),multiply(X_67,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))) ),[1,0],$fot(multiply(X_67,X_66))]]) ).
cnf(refute_0_106,plain,
( multiply(divide(X_67,divide(X_68,X_66)),X_68) != multiply(X_67,X_66)
| divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(multiply(X_67,X_66),multiply(X_67,X_66)) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) = divide(multiply(X_67,X_66),multiply(X_67,X_66)),
inference(resolve,[$cnf( $equal(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) = multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)),
introduced(tautology,[refl,[$fot(multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))]]) ).
cnf(refute_0_109,plain,
( multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) != multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))
| divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(multiply(X_67,X_66),multiply(X_67,X_66))
| multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) = multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) ),[1,0],$fot(divide(multiply(X_67,X_66),multiply(X_67,X_66)))]]) ).
cnf(refute_0_110,plain,
( divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(multiply(X_67,X_66),multiply(X_67,X_66))
| multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) = multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) = multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(multiply(X_67,X_66),multiply(X_67,X_66))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),
introduced(tautology,[refl,[$fot(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))]]) ).
cnf(refute_0_113,plain,
( multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) != multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))
| divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) ),[1,1],$fot(multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))]]) ).
cnf(refute_0_114,plain,
( multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)) != multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))
| divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))),
inference(resolve,[$cnf( $equal(multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(divide(X_4,divide(X_5,X_3)),X_5) = multiply(X_4,X_3),
inference(subst,[],[refute_0_103:[bind(X_66,$fot(X_3)),bind(X_67,$fot(X_4)),bind(X_68,$fot(X_5))]]) ).
cnf(refute_0_117,plain,
divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) = divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),
introduced(tautology,[refl,[$fot(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)))]]) ).
cnf(refute_0_118,plain,
( multiply(divide(X_4,divide(X_5,X_3)),X_5) != multiply(X_4,X_3)
| divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) != divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))
| divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) = divide(X_3,multiply(X_4,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) ),[1,1],$fot(multiply(X_4,X_3))]]) ).
cnf(refute_0_119,plain,
( multiply(divide(X_4,divide(X_5,X_3)),X_5) != multiply(X_4,X_3)
| divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) = divide(X_3,multiply(X_4,X_3)) ),
inference(resolve,[$cnf( $equal(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) = divide(X_3,multiply(X_4,X_3)),
inference(resolve,[$cnf( $equal(multiply(divide(X_4,divide(X_5,X_3)),X_5),multiply(X_4,X_3)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),
introduced(tautology,[refl,[$fot(divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))]]) ).
cnf(refute_0_122,plain,
( divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) != divide(X_3,multiply(X_4,X_3))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) ),[1,0],$fot(divide(X_3,multiply(X_4,X_3)))]]) ).
cnf(refute_0_123,plain,
( divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)) != divide(X_3,multiply(X_4,X_3))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),
inference(resolve,[$cnf( $equal(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),divide(X_3,multiply(X_4,X_3))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))) ),
inference(subst,[],[refute_0_95:[bind(X,$fot(divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))),bind(Y,$fot(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))),bind(Z,$fot(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))))]]) ).
cnf(refute_0_126,plain,
( divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))) ),
inference(resolve,[$cnf( $equal(divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) = divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))),
inference(resolve,[$cnf( $equal(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) )],[refute_0_115,refute_0_126]) ).
cnf(refute_0_128,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),
introduced(tautology,[refl,[$fot(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))))]]) ).
cnf(refute_0_129,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))
| divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))) ),[1,1],$fot(divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))))]]) ).
cnf(refute_0_130,plain,
( divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))) != divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))),
inference(resolve,[$cnf( $equal(divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2))),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) != divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3)))
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))))
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))) ),
inference(subst,[],[refute_0_95:[bind(X,$fot(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))))),bind(Y,$fot(divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))))),bind(Z,$fot(divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3)))))]]) ).
cnf(refute_0_133,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))) != divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3)))
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2))))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) = divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(X_4,X_3)),multiply(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(X_2,X_2)))),divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3)))) )],[refute_0_86,refute_0_133]) ).
cnf(refute_0_135,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != X_4
| divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3)))
| divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),X_4) ),[0],$fot(divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))))]]) ).
cnf(refute_0_136,plain,
( divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))) != X_4
| divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))) = X_4 ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
divide(divide(X_2,X_2),divide(X_3,multiply(X_4,X_3))) = X_4,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(divide(X_3,multiply(divide(X_4,divide(X_5,X_3)),X_5)),multiply(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(X_2,X_2)))),X_4) )],[refute_0_80,refute_0_136]) ).
cnf(refute_0_138,plain,
divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(C,divide(X_6,X_6)),
inference(subst,[],[refute_0_137:[bind(X_2,$fot(multiply(X_67,X_66))),bind(X_3,$fot(B)),bind(X_4,$fot(divide(C,divide(X_6,X_6))))]]) ).
cnf(refute_0_139,plain,
divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),
introduced(tautology,[refl,[$fot(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))))]]) ).
cnf(refute_0_140,plain,
( divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(multiply(X_67,X_66),multiply(X_67,X_66))
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B)))
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B)))) ),[1,0],$fot(divide(multiply(X_67,X_66),multiply(X_67,X_66)))]]) ).
cnf(refute_0_141,plain,
( divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)) != divide(multiply(X_67,X_66),multiply(X_67,X_66))
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B)))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(multiply(X_67,X_66),multiply(X_67,X_66))) )],[refute_0_107,refute_0_141]) ).
cnf(refute_0_143,plain,
( divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != divide(C,divide(X_6,X_6))
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B)))
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(C,divide(X_6,X_6)) ),
inference(subst,[],[refute_0_95:[bind(X,$fot(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))))),bind(Y,$fot(divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))))),bind(Z,$fot(divide(C,divide(X_6,X_6))))]]) ).
cnf(refute_0_144,plain,
( divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != divide(C,divide(X_6,X_6))
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(C,divide(X_6,X_6)) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B)))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) = divide(C,divide(X_6,X_6)),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_67,X_66),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),divide(C,divide(X_6,X_6))) )],[refute_0_138,refute_0_144]) ).
cnf(refute_0_146,plain,
( divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != C
| divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != divide(C,divide(X_6,X_6))
| divide(C,divide(X_6,X_6)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),C) ),[0],$fot(divide(C,divide(X_6,X_6)))]]) ).
cnf(refute_0_147,plain,
( divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))) != C
| divide(C,divide(X_6,X_6)) = C ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),divide(C,divide(X_6,X_6))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
divide(C,divide(X_6,X_6)) = C,
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_67,divide(X_68,X_66)),X_68),multiply(X_67,X_66)),divide(B,multiply(divide(C,divide(X_6,X_6)),B))),C) )],[refute_0_68,refute_0_147]) ).
cnf(refute_0_149,plain,
divide(X_4,divide(X_32,X_32)) = X_4,
inference(subst,[],[refute_0_148:[bind(C,$fot(X_4)),bind(X_6,$fot(X_32))]]) ).
cnf(refute_0_150,plain,
multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) = multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)),
introduced(tautology,[refl,[$fot(multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))]]) ).
cnf(refute_0_151,plain,
( multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) != multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))
| divide(X_4,divide(X_32,X_32)) != X_4
| multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) = multiply(X_4,divide(X_30,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_152,plain,
( divide(X_4,divide(X_32,X_32)) != X_4
| multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) = multiply(X_4,divide(X_30,X_30)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) = multiply(X_4,divide(X_30,X_30)),
inference(resolve,[$cnf( $equal(divide(X_4,divide(X_32,X_32)),X_4) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),
introduced(tautology,[refl,[$fot(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))]]) ).
cnf(refute_0_155,plain,
( multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) != multiply(X_4,divide(X_30,X_30))
| divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))
| divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) ),[1,1],$fot(multiply(X_4,divide(X_30,X_30)))]]) ).
cnf(refute_0_156,plain,
( multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)) != multiply(X_4,divide(X_30,X_30))
| divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))),
inference(resolve,[$cnf( $equal(multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)),multiply(X_4,divide(X_30,X_30))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(divide(X_33,divide(X_34,X_31)),X_34) = multiply(X_33,X_31),
inference(subst,[],[refute_0_103:[bind(X_66,$fot(X_31)),bind(X_67,$fot(X_33)),bind(X_68,$fot(X_34))]]) ).
cnf(refute_0_159,plain,
divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),
introduced(tautology,[refl,[$fot(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)))]]) ).
cnf(refute_0_160,plain,
( multiply(divide(X_33,divide(X_34,X_31)),X_34) != multiply(X_33,X_31)
| divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) != divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))
| divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(multiply(X_33,X_31),multiply(X_33,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))) ),[1,0],$fot(multiply(X_33,X_31))]]) ).
cnf(refute_0_161,plain,
( multiply(divide(X_33,divide(X_34,X_31)),X_34) != multiply(X_33,X_31)
| divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(multiply(X_33,X_31),multiply(X_33,X_31)) ),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) = divide(multiply(X_33,X_31),multiply(X_33,X_31)),
inference(resolve,[$cnf( $equal(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),
introduced(tautology,[refl,[$fot(divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))]]) ).
cnf(refute_0_164,plain,
( divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) != divide(multiply(X_33,X_31),multiply(X_33,X_31))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) ),[1,0],$fot(divide(multiply(X_33,X_31),multiply(X_33,X_31)))]]) ).
cnf(refute_0_165,plain,
( divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)) != divide(multiply(X_33,X_31),multiply(X_33,X_31))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),
inference(resolve,[$cnf( $equal(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),divide(multiply(X_33,X_31),multiply(X_33,X_31))) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
( divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) ),
inference(subst,[],[refute_0_95:[bind(X,$fot(divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))),bind(Y,$fot(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))),bind(Z,$fot(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))))]]) ).
cnf(refute_0_168,plain,
( divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) = divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) )],[refute_0_157,refute_0_168]) ).
cnf(refute_0_170,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))))]]) ).
cnf(refute_0_171,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) != divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))
| divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))
| divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))),divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))) ),[1,1],$fot(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))))]]) ).
cnf(refute_0_172,plain,
( divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))) != divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))
| divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))),divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) = divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),
inference(resolve,[$cnf( $equal(divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30))),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) != X_4
| divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) != divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))))
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))),X_4) ),[0],$fot(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))))]]) ).
cnf(refute_0_175,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))) != X_4
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = X_4 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))),divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(divide(X_33,divide(X_34,X_31)),X_34),multiply(X_33,X_31)),multiply(divide(X_4,divide(X_32,X_32)),divide(X_30,X_30)))),X_4) )],[refute_0_33,refute_0_175]) ).
cnf(refute_0_177,plain,
divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))) = multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(inverse(B),B))),bind(B,$fot(multiply(X_4,divide(X_30,X_30))))]]) ).
cnf(refute_0_178,plain,
divide(divide(X_87,X_87),divide(X_88,multiply(inverse(X_88),X_88))) = inverse(X_88),
inference(subst,[],[refute_0_137:[bind(X_2,$fot(X_87)),bind(X_3,$fot(X_88)),bind(X_4,$fot(inverse(X_88)))]]) ).
cnf(refute_0_179,plain,
divide(inverse(B),inverse(B)) = divide(X_6,X_6),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_6)),bind(X_2,$fot(inverse(B)))]]) ).
cnf(refute_0_180,plain,
( multiply(inverse(B),B) != divide(inverse(B),inverse(B))
| divide(inverse(B),inverse(B)) != divide(X_6,X_6)
| multiply(inverse(B),B) = divide(X_6,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(B),B),divide(X_6,X_6)) ),[0],$fot(divide(inverse(B),inverse(B)))]]) ).
cnf(refute_0_181,plain,
( multiply(inverse(B),B) != divide(inverse(B),inverse(B))
| multiply(inverse(B),B) = divide(X_6,X_6) ),
inference(resolve,[$cnf( $equal(divide(inverse(B),inverse(B)),divide(X_6,X_6)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(B),B) = divide(X_6,X_6),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),divide(inverse(B),inverse(B))) )],[refute_0_18,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(inverse(B),B) = divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))),
inference(subst,[],[refute_0_182:[bind(X_6,$fot(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))))]]) ).
cnf(refute_0_184,plain,
multiply(inverse(X_8),X_8) = divide(divide(D,B),divide(D,B)),
inference(subst,[],[refute_0_182:[bind(B,$fot(X_8)),bind(X_6,$fot(divide(D,B)))]]) ).
cnf(refute_0_185,plain,
( multiply(inverse(X_8),X_8) != divide(divide(D,B),divide(D,B))
| divide(divide(D,B),divide(D,B)) = multiply(inverse(X_8),X_8) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_8),X_8))),bind(Y,$fot(divide(divide(D,B),divide(D,B))))]]) ).
cnf(refute_0_186,plain,
divide(divide(D,B),divide(D,B)) = multiply(inverse(X_8),X_8),
inference(resolve,[$cnf( $equal(multiply(inverse(X_8),X_8),divide(divide(D,B),divide(D,B))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))) != divide(D,B)
| divide(divide(D,B),divide(D,B)) != multiply(inverse(X_8),X_8)
| divide(divide(A,A),divide(B,multiply(multiply(inverse(X_8),X_8),D))) = divide(D,B) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))),divide(D,B)) ),[0,1,1,0],$fot(multiply(inverse(X_8),X_8))]]) ).
cnf(refute_0_188,plain,
( divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))) != divide(D,B)
| divide(divide(A,A),divide(B,multiply(multiply(inverse(X_8),X_8),D))) = divide(D,B) ),
inference(resolve,[$cnf( $equal(divide(divide(D,B),divide(D,B)),multiply(inverse(X_8),X_8)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
divide(divide(A,A),divide(B,multiply(multiply(inverse(X_8),X_8),D))) = divide(D,B),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(divide(D,B),divide(D,B)),D))),divide(D,B)) )],[refute_0_81,refute_0_188]) ).
cnf(refute_0_190,plain,
divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))) = divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)),
inference(subst,[],[refute_0_189:[bind(A,$fot(multiply(multiply(inverse(X_50),X_50),X_49))),bind(B,$fot(multiply(multiply(inverse(X_50),X_50),X_49))),bind(D,$fot(X_49)),bind(X_8,$fot(X_50))]]) ).
cnf(refute_0_191,plain,
( multiply(inverse(B),B) != divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))
| divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))) != divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))
| multiply(inverse(B),B) = divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(B),B),divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) ),[0],$fot(divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))))]]) ).
cnf(refute_0_192,plain,
( multiply(inverse(B),B) != divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))
| multiply(inverse(B),B) = divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)) ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))),divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(inverse(B),B) = divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))) )],[refute_0_183,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(inverse(X_88),X_88) = divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)),
inference(subst,[],[refute_0_193:[bind(B,$fot(X_88))]]) ).
cnf(refute_0_195,plain,
( multiply(inverse(X_88),X_88) != divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))
| divide(divide(X_87,X_87),divide(X_88,multiply(inverse(X_88),X_88))) != inverse(X_88)
| divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = inverse(X_88) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,multiply(inverse(X_88),X_88))),inverse(X_88)) ),[0,1,1],$fot(divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))]]) ).
cnf(refute_0_196,plain,
( divide(divide(X_87,X_87),divide(X_88,multiply(inverse(X_88),X_88))) != inverse(X_88)
| divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = inverse(X_88) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_88),X_88),divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = inverse(X_88),
inference(resolve,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,multiply(inverse(X_88),X_88))),inverse(X_88)) )],[refute_0_178,refute_0_196]) ).
cnf(refute_0_198,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))),B))) = C,
inference(subst,[],[refute_0_47:[bind(X_6,$fot(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))))]]) ).
cnf(refute_0_199,plain,
( divide(divide(A,A),divide(B,multiply(divide(C,divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))),B))) != C
| divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))) != divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))
| divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))),B))),C) ),[0,1,1,0,1],$fot(divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))]]) ).
cnf(refute_0_200,plain,
( divide(divide(A,A),divide(B,multiply(divide(C,divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))),B))) != C
| divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) = C ),
inference(resolve,[$cnf( $equal(divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49))),divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) )],[refute_0_190,refute_0_199]) ).
cnf(refute_0_201,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)),divide(multiply(multiply(inverse(X_50),X_50),X_49),multiply(multiply(inverse(X_50),X_50),X_49)))),B))),C) )],[refute_0_198,refute_0_200]) ).
cnf(refute_0_202,plain,
divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) = divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),
inference(subst,[],[refute_0_137:[bind(X_2,$fot(A)),bind(X_3,$fot(B)),bind(X_4,$fot(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))))]]) ).
cnf(refute_0_203,plain,
( divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) != C
| divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) != divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))
| divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))),C) ),[0],$fot(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))))]]) ).
cnf(refute_0_204,plain,
( divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))) != C
| divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) = C ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))),divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) = C,
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(B,multiply(divide(C,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),B))),C) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) = X_88,
inference(subst,[],[refute_0_205:[bind(C,$fot(X_88))]]) ).
cnf(refute_0_207,plain,
divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))),
introduced(tautology,[refl,[$fot(divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))))]]) ).
cnf(refute_0_208,plain,
( divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) != X_88
| divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) != divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))))
| divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = divide(divide(X_87,X_87),X_88) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))),divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))))) ),[1,1],$fot(X_88)]]) ).
cnf(refute_0_209,plain,
( divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))) != X_88
| divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = divide(divide(X_87,X_87),X_88) ),
inference(resolve,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))),divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) = divide(divide(X_87,X_87),X_88),
inference(resolve,[$cnf( $equal(divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49))),X_88) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
( divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) != divide(divide(X_87,X_87),X_88)
| divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) != inverse(X_88)
| divide(divide(X_87,X_87),X_88) = inverse(X_88) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))),inverse(X_88)) ),[0],$fot(divide(divide(X_87,X_87),X_88))]]) ).
cnf(refute_0_212,plain,
( divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))) != inverse(X_88)
| divide(divide(X_87,X_87),X_88) = inverse(X_88) ),
inference(resolve,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))),divide(divide(X_87,X_87),X_88)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
divide(divide(X_87,X_87),X_88) = inverse(X_88),
inference(resolve,[$cnf( $equal(divide(divide(X_87,X_87),divide(X_88,divide(X_49,multiply(multiply(inverse(X_50),X_50),X_49)))),inverse(X_88)) )],[refute_0_197,refute_0_212]) ).
cnf(refute_0_214,plain,
divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) = inverse(multiply(X_4,divide(X_30,X_30))),
inference(subst,[],[refute_0_213:[bind(X_87,$fot(multiply(X_33,X_31))),bind(X_88,$fot(multiply(X_4,divide(X_30,X_30))))]]) ).
cnf(refute_0_215,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),
introduced(tautology,[refl,[$fot(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))))]]) ).
cnf(refute_0_216,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) != divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))))
| divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) != inverse(multiply(X_4,divide(X_30,X_30)))
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))))) ),[1,1],$fot(inverse(multiply(X_4,divide(X_30,X_30))))]]) ).
cnf(refute_0_217,plain,
( divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))) != inverse(multiply(X_4,divide(X_30,X_30)))
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))),
inference(resolve,[$cnf( $equal(divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30))),inverse(multiply(X_4,divide(X_30,X_30)))) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) != divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30))))
| divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))) != multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) ),
inference(subst,[],[refute_0_95:[bind(X,$fot(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))))),bind(Y,$fot(divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))))),bind(Z,$fot(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))))]]) ).
cnf(refute_0_220,plain,
( divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))) != multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) = multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),inverse(multiply(X_4,divide(X_30,X_30)))),multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))) )],[refute_0_177,refute_0_220]) ).
cnf(refute_0_222,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) != X_4
| divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) != multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))
| multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),X_4) ),[0],$fot(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))))]]) ).
cnf(refute_0_223,plain,
( divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))) != X_4
| multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = X_4 ),
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = X_4,
inference(resolve,[$cnf( $equal(divide(multiply(inverse(B),B),divide(divide(multiply(X_33,X_31),multiply(X_33,X_31)),multiply(X_4,divide(X_30,X_30)))),X_4) )],[refute_0_176,refute_0_223]) ).
cnf(refute_0_225,plain,
divide(C,divide(divide(X_90,X_90),divide(X_90,X_90))) = C,
inference(subst,[],[refute_0_148:[bind(X_6,$fot(divide(X_90,X_90)))]]) ).
cnf(refute_0_226,plain,
divide(divide(X_90,X_90),divide(X_90,X_90)) = inverse(divide(X_90,X_90)),
inference(subst,[],[refute_0_213:[bind(X_87,$fot(X_90)),bind(X_88,$fot(divide(X_90,X_90)))]]) ).
cnf(refute_0_227,plain,
( divide(C,divide(divide(X_90,X_90),divide(X_90,X_90))) != C
| divide(divide(X_90,X_90),divide(X_90,X_90)) != inverse(divide(X_90,X_90))
| divide(C,inverse(divide(X_90,X_90))) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(C,divide(divide(X_90,X_90),divide(X_90,X_90))),C) ),[0,1],$fot(inverse(divide(X_90,X_90)))]]) ).
cnf(refute_0_228,plain,
( divide(C,divide(divide(X_90,X_90),divide(X_90,X_90))) != C
| divide(C,inverse(divide(X_90,X_90))) = C ),
inference(resolve,[$cnf( $equal(divide(divide(X_90,X_90),divide(X_90,X_90)),inverse(divide(X_90,X_90))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
divide(C,inverse(divide(X_90,X_90))) = C,
inference(resolve,[$cnf( $equal(divide(C,divide(divide(X_90,X_90),divide(X_90,X_90))),C) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
divide(C,inverse(divide(X_90,X_90))) = multiply(C,divide(X_90,X_90)),
inference(subst,[],[refute_0_4:[bind(A,$fot(C)),bind(B,$fot(divide(X_90,X_90)))]]) ).
cnf(refute_0_231,plain,
( divide(C,inverse(divide(X_90,X_90))) != C
| divide(C,inverse(divide(X_90,X_90))) != multiply(C,divide(X_90,X_90))
| multiply(C,divide(X_90,X_90)) = C ),
introduced(tautology,[equality,[$cnf( $equal(divide(C,inverse(divide(X_90,X_90))),C) ),[0],$fot(multiply(C,divide(X_90,X_90)))]]) ).
cnf(refute_0_232,plain,
( divide(C,inverse(divide(X_90,X_90))) != C
| multiply(C,divide(X_90,X_90)) = C ),
inference(resolve,[$cnf( $equal(divide(C,inverse(divide(X_90,X_90))),multiply(C,divide(X_90,X_90))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(C,divide(X_90,X_90)) = C,
inference(resolve,[$cnf( $equal(divide(C,inverse(divide(X_90,X_90))),C) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_4,divide(X_30,X_30)) = X_4,
inference(subst,[],[refute_0_233:[bind(C,$fot(X_4)),bind(X_90,$fot(X_30))]]) ).
cnf(refute_0_235,plain,
multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))))]]) ).
cnf(refute_0_236,plain,
( multiply(X_4,divide(X_30,X_30)) != X_4
| multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) != multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))
| multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = multiply(multiply(inverse(B),B),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_237,plain,
( multiply(X_4,divide(X_30,X_30)) != X_4
| multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = multiply(multiply(inverse(B),B),X_4) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) = multiply(multiply(inverse(B),B),X_4),
inference(resolve,[$cnf( $equal(multiply(X_4,divide(X_30,X_30)),X_4) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
( multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) != X_4
| multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) != multiply(multiply(inverse(B),B),X_4)
| multiply(multiply(inverse(B),B),X_4) = X_4 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),X_4) ),[0],$fot(multiply(multiply(inverse(B),B),X_4))]]) ).
cnf(refute_0_240,plain,
( multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))) != X_4
| multiply(multiply(inverse(B),B),X_4) = X_4 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),multiply(multiply(inverse(B),B),X_4)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(multiply(inverse(B),B),X_4) = X_4,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),multiply(X_4,divide(X_30,X_30))),X_4) )],[refute_0_224,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(multiply(inverse(b2),b2),a2) = a2,
inference(subst,[],[refute_0_241:[bind(B,$fot(b2)),bind(X_4,$fot(a2))]]) ).
cnf(refute_0_243,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(b2),b2),a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_244,plain,
( a2 != a2
| multiply(multiply(inverse(b2),b2),a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(b2),b2),a2),a2) )],[refute_0_244,prove_these_axioms_2]) ).
cnf(refute_0_246,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_247,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_246,refute_0_245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP467-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 02:03:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.95/2.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.95/2.16
% 1.95/2.16 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.02/2.20
%------------------------------------------------------------------------------