%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 76
% Syntax : Number of clauses : 321 ( 172 unt; 0 nHn; 141 RR)
% Number of literals : 538 ( 537 equ; 219 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 848 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,inverse(B)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_4,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(A,inverse(divide(B,divide(A,C)))) = multiply(A,divide(B,divide(A,C))),
inference(subst,[],[refute_0_4:[bind(B,$fot(divide(B,divide(A,C))))]]) ).
cnf(refute_0_6,plain,
divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(divide(A,inverse(divide(B,divide(A,C)))),C),
introduced(tautology,[refl,[$fot(divide(divide(A,inverse(divide(B,divide(A,C)))),C))]]) ).
cnf(refute_0_7,plain,
( divide(A,inverse(divide(B,divide(A,C)))) != multiply(A,divide(B,divide(A,C)))
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) != divide(divide(A,inverse(divide(B,divide(A,C)))),C)
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(multiply(A,divide(B,divide(A,C))),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),divide(divide(A,inverse(divide(B,divide(A,C)))),C)) ),[1,0],$fot(multiply(A,divide(B,divide(A,C))))]]) ).
cnf(refute_0_8,plain,
( divide(A,inverse(divide(B,divide(A,C)))) != multiply(A,divide(B,divide(A,C)))
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(multiply(A,divide(B,divide(A,C))),C) ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),divide(divide(A,inverse(divide(B,divide(A,C)))),C)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(multiply(A,divide(B,divide(A,C))),C),
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(B,divide(A,C)))),multiply(A,divide(B,divide(A,C)))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( divide(divide(A,inverse(divide(B,divide(A,C)))),C) != B
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) != divide(multiply(A,divide(B,divide(A,C))),C)
| divide(multiply(A,divide(B,divide(A,C))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),B) ),[0],$fot(divide(multiply(A,divide(B,divide(A,C))),C))]]) ).
cnf(refute_0_11,plain,
( divide(divide(A,inverse(divide(B,divide(A,C)))),C) != B
| divide(multiply(A,divide(B,divide(A,C))),C) = B ),
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),divide(multiply(A,divide(B,divide(A,C))),C)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
divide(multiply(A,divide(B,divide(A,C))),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),B) )],[single_axiom,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_2,divide(X_3,divide(X_2,inverse(B))))))]]) ).
cnf(refute_0_14,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B)) = X_3,
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_15,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) != divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B))
| divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B)) != X_3
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),X_3) ),[0],$fot(divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B)))]]) ).
cnf(refute_0_16,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) != divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B))
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = X_3 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B)),X_3) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B))) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(X_2,inverse(B)) = multiply(X_2,B),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_2))]]) ).
cnf(refute_0_19,plain,
divide(X_3,divide(X_2,inverse(B))) = divide(X_3,divide(X_2,inverse(B))),
introduced(tautology,[refl,[$fot(divide(X_3,divide(X_2,inverse(B))))]]) ).
cnf(refute_0_20,plain,
( divide(X_2,inverse(B)) != multiply(X_2,B)
| divide(X_3,divide(X_2,inverse(B))) != divide(X_3,divide(X_2,inverse(B)))
| divide(X_3,divide(X_2,inverse(B))) = divide(X_3,multiply(X_2,B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_3,divide(X_2,inverse(B))),divide(X_3,divide(X_2,inverse(B)))) ),[1,1],$fot(multiply(X_2,B))]]) ).
cnf(refute_0_21,plain,
( divide(X_2,inverse(B)) != multiply(X_2,B)
| divide(X_3,divide(X_2,inverse(B))) = divide(X_3,multiply(X_2,B)) ),
inference(resolve,[$cnf( $equal(divide(X_3,divide(X_2,inverse(B))),divide(X_3,divide(X_2,inverse(B)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(X_3,divide(X_2,inverse(B))) = divide(X_3,multiply(X_2,B)),
inference(resolve,[$cnf( $equal(divide(X_2,inverse(B)),multiply(X_2,B)) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) = multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),
introduced(tautology,[refl,[$fot(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))))]]) ).
cnf(refute_0_24,plain,
( multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) != multiply(X_2,divide(X_3,divide(X_2,inverse(B))))
| divide(X_3,divide(X_2,inverse(B))) != divide(X_3,multiply(X_2,B))
| multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) = multiply(X_2,divide(X_3,multiply(X_2,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),multiply(X_2,divide(X_3,divide(X_2,inverse(B))))) ),[1,1],$fot(divide(X_3,multiply(X_2,B)))]]) ).
cnf(refute_0_25,plain,
( divide(X_3,divide(X_2,inverse(B))) != divide(X_3,multiply(X_2,B))
| multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) = multiply(X_2,divide(X_3,multiply(X_2,B))) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),multiply(X_2,divide(X_3,divide(X_2,inverse(B))))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) = multiply(X_2,divide(X_3,multiply(X_2,B))),
inference(resolve,[$cnf( $equal(divide(X_3,divide(X_2,inverse(B))),divide(X_3,multiply(X_2,B))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),
introduced(tautology,[refl,[$fot(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B))]]) ).
cnf(refute_0_28,plain,
( multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) != multiply(X_2,divide(X_3,multiply(X_2,B)))
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) != multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B)
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B)) ),[1,0],$fot(multiply(X_2,divide(X_3,multiply(X_2,B))))]]) ).
cnf(refute_0_29,plain,
( multiply(X_2,divide(X_3,divide(X_2,inverse(B)))) != multiply(X_2,divide(X_3,multiply(X_2,B)))
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) = multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),multiply(X_2,divide(X_3,multiply(X_2,B)))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) != X_3
| multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) != multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B)
| multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),X_3) ),[0],$fot(multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B))]]) ).
cnf(refute_0_32,plain,
( multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B) != X_3
| multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(multiply(X_2,divide(X_3,multiply(X_2,B))),B) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),X_3) )],[refute_0_17,refute_0_32]) ).
cnf(refute_0_34,plain,
multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B))),B) = X_3,
inference(subst,[],[refute_0_33:[bind(X_2,$fot(multiply(X_6,divide(X_7,multiply(X_6,B)))))]]) ).
cnf(refute_0_35,plain,
multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B) = X_7,
inference(subst,[],[refute_0_33:[bind(X_2,$fot(X_6)),bind(X_3,$fot(X_7))]]) ).
cnf(refute_0_36,plain,
( multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B) != X_7
| multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B))),B) != X_3
| multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,X_7)),B) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B))),B),X_3) ),[0,0,1,1],$fot(X_7)]]) ).
cnf(refute_0_37,plain,
( multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B))),B) != X_3
| multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,X_7)),B) = X_3 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B),X_7) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,X_7)),B) = X_3,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),divide(X_3,multiply(multiply(X_6,divide(X_7,multiply(X_6,B))),B))),B),X_3) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)) = X_13,
inference(subst,[],[refute_0_38:[bind(B,$fot(divide(X_13,X_15))),bind(X_3,$fot(X_13)),bind(X_6,$fot(X_14)),bind(X_7,$fot(X_15))]]) ).
cnf(refute_0_40,plain,
multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)) = X_15,
inference(subst,[],[refute_0_33:[bind(B,$fot(divide(X_13,X_15))),bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15))]]) ).
cnf(refute_0_41,plain,
( multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)) != X_15
| multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)) != X_13
| multiply(X_15,divide(X_13,X_15)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)),X_13) ),[0,0],$fot(X_15)]]) ).
cnf(refute_0_42,plain,
( multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)) != X_13
| multiply(X_15,divide(X_13,X_15)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),X_15) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(X_15,divide(X_13,X_15)) = X_13,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_14,divide(X_15,multiply(X_14,divide(X_13,X_15)))),divide(X_13,X_15)),divide(X_13,X_15)),X_13) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(X_17,divide(multiply(A,divide(B,divide(A,X_17))),X_17)) = multiply(A,divide(B,divide(A,X_17))),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(multiply(A,divide(B,divide(A,X_17))))),bind(X_15,$fot(X_17))]]) ).
cnf(refute_0_45,plain,
divide(multiply(A,divide(B,divide(A,X_17))),X_17) = B,
inference(subst,[],[refute_0_12:[bind(C,$fot(X_17))]]) ).
cnf(refute_0_46,plain,
( multiply(X_17,divide(multiply(A,divide(B,divide(A,X_17))),X_17)) != multiply(A,divide(B,divide(A,X_17)))
| divide(multiply(A,divide(B,divide(A,X_17))),X_17) != B
| multiply(X_17,B) = multiply(A,divide(B,divide(A,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,divide(multiply(A,divide(B,divide(A,X_17))),X_17)),multiply(A,divide(B,divide(A,X_17)))) ),[0,1],$fot(B)]]) ).
cnf(refute_0_47,plain,
( multiply(X_17,divide(multiply(A,divide(B,divide(A,X_17))),X_17)) != multiply(A,divide(B,divide(A,X_17)))
| multiply(X_17,B) = multiply(A,divide(B,divide(A,X_17))) ),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,X_17))),X_17),B) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(X_17,B) = multiply(A,divide(B,divide(A,X_17))),
inference(resolve,[$cnf( $equal(multiply(X_17,divide(multiply(A,divide(B,divide(A,X_17))),X_17)),multiply(A,divide(B,divide(A,X_17)))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
( multiply(X_17,B) != multiply(A,divide(B,divide(A,X_17)))
| multiply(A,divide(B,divide(A,X_17))) = multiply(X_17,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_17,B))),bind(Y,$fot(multiply(A,divide(B,divide(A,X_17)))))]]) ).
cnf(refute_0_50,plain,
multiply(A,divide(B,divide(A,X_17))) = multiply(X_17,B),
inference(resolve,[$cnf( $equal(multiply(X_17,B),multiply(A,divide(B,divide(A,X_17)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
multiply(A,divide(B,divide(A,C))) = multiply(C,B),
inference(subst,[],[refute_0_50:[bind(X_17,$fot(C))]]) ).
cnf(refute_0_52,plain,
divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(A,divide(B,divide(A,C))),C),
introduced(tautology,[refl,[$fot(divide(multiply(A,divide(B,divide(A,C))),C))]]) ).
cnf(refute_0_53,plain,
( multiply(A,divide(B,divide(A,C))) != multiply(C,B)
| divide(multiply(A,divide(B,divide(A,C))),C) != divide(multiply(A,divide(B,divide(A,C))),C)
| divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(C,B),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),divide(multiply(A,divide(B,divide(A,C))),C)) ),[1,0],$fot(multiply(C,B))]]) ).
cnf(refute_0_54,plain,
( multiply(A,divide(B,divide(A,C))) != multiply(C,B)
| divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(C,B),C) ),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),divide(multiply(A,divide(B,divide(A,C))),C)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(C,B),C),
inference(resolve,[$cnf( $equal(multiply(A,divide(B,divide(A,C))),multiply(C,B)) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( divide(multiply(A,divide(B,divide(A,C))),C) != B
| divide(multiply(A,divide(B,divide(A,C))),C) != divide(multiply(C,B),C)
| divide(multiply(C,B),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),B) ),[0],$fot(divide(multiply(C,B),C))]]) ).
cnf(refute_0_57,plain,
( divide(multiply(A,divide(B,divide(A,C))),C) != B
| divide(multiply(C,B),C) = B ),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),divide(multiply(C,B),C)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(multiply(C,B),C) = B,
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),B) )],[refute_0_12,refute_0_57]) ).
cnf(refute_0_59,plain,
divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),
inference(subst,[],[refute_0_12:[bind(B,$fot(multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))))]]) ).
cnf(refute_0_60,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C)) = X_3,
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(divide(A,C)))]]) ).
cnf(refute_0_61,plain,
( divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C) != multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))
| divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C)) != X_3
| divide(multiply(A,X_3),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C),multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))) ),[0,0,1],$fot(X_3)]]) ).
cnf(refute_0_62,plain,
( divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C) != multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))
| divide(multiply(A,X_3),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C)),X_3) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(multiply(A,X_3),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C),multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))) = multiply(divide(A,C),X_3),
inference(subst,[],[refute_0_50:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(X_17,$fot(divide(A,C)))]]) ).
cnf(refute_0_65,plain,
( multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))) != multiply(divide(A,C),X_3)
| divide(multiply(A,X_3),C) != multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))
| divide(multiply(A,X_3),C) = multiply(divide(A,C),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))) ),[1],$fot(multiply(divide(A,C),X_3))]]) ).
cnf(refute_0_66,plain,
( divide(multiply(A,X_3),C) != multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))
| divide(multiply(A,X_3),C) = multiply(divide(A,C),X_3) ),
inference(resolve,[$cnf( $equal(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),multiply(divide(A,C),X_3)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
divide(multiply(A,X_3),C) = multiply(divide(A,C),X_3),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
divide(multiply(C,B),C) = multiply(divide(C,C),B),
inference(subst,[],[refute_0_67:[bind(A,$fot(C)),bind(X_3,$fot(B))]]) ).
cnf(refute_0_69,plain,
( divide(multiply(C,B),C) != B
| divide(multiply(C,B),C) != multiply(divide(C,C),B)
| multiply(divide(C,C),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(C,B),C),B) ),[0],$fot(multiply(divide(C,C),B))]]) ).
cnf(refute_0_70,plain,
( divide(multiply(C,B),C) != B
| multiply(divide(C,C),B) = B ),
inference(resolve,[$cnf( $equal(divide(multiply(C,B),C),multiply(divide(C,C),B)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(divide(C,C),B) = B,
inference(resolve,[$cnf( $equal(divide(multiply(C,B),C),B) )],[refute_0_58,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))) = divide(X_39,divide(divide(C,C),X_40)),
inference(subst,[],[refute_0_71:[bind(B,$fot(divide(X_39,divide(divide(C,C),X_40))))]]) ).
cnf(refute_0_73,plain,
multiply(X_40,X_39) = multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))),
inference(subst,[],[refute_0_48:[bind(A,$fot(divide(C,C))),bind(B,$fot(X_39)),bind(X_17,$fot(X_40))]]) ).
cnf(refute_0_74,plain,
( multiply(X_40,X_39) != multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40)))
| multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))) = multiply(X_40,X_39) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_40,X_39))),bind(Y,$fot(multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40)))))]]) ).
cnf(refute_0_75,plain,
multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))) = multiply(X_40,X_39),
inference(resolve,[$cnf( $equal(multiply(X_40,X_39),multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))) != multiply(X_40,X_39)
| multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))) != divide(X_39,divide(divide(C,C),X_40))
| multiply(X_40,X_39) = divide(X_39,divide(divide(C,C),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))),divide(X_39,divide(divide(C,C),X_40))) ),[0],$fot(multiply(X_40,X_39))]]) ).
cnf(refute_0_77,plain,
( multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))) != divide(X_39,divide(divide(C,C),X_40))
| multiply(X_40,X_39) = divide(X_39,divide(divide(C,C),X_40)) ),
inference(resolve,[$cnf( $equal(multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))),multiply(X_40,X_39)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(X_40,X_39) = divide(X_39,divide(divide(C,C),X_40)),
inference(resolve,[$cnf( $equal(multiply(divide(C,C),divide(X_39,divide(divide(C,C),X_40))),divide(X_39,divide(divide(C,C),X_40))) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(B),divide(X_16,inverse(B))) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(inverse(B)))]]) ).
cnf(refute_0_80,plain,
multiply(X_16,B) = divide(X_16,inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_81,plain,
( multiply(X_16,B) != divide(X_16,inverse(B))
| divide(X_16,inverse(B)) = multiply(X_16,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_16,B))),bind(Y,$fot(divide(X_16,inverse(B))))]]) ).
cnf(refute_0_82,plain,
divide(X_16,inverse(B)) = multiply(X_16,B),
inference(resolve,[$cnf( $equal(multiply(X_16,B),divide(X_16,inverse(B))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( multiply(inverse(B),divide(X_16,inverse(B))) != X_16
| divide(X_16,inverse(B)) != multiply(X_16,B)
| multiply(inverse(B),multiply(X_16,B)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),divide(X_16,inverse(B))),X_16) ),[0,1],$fot(multiply(X_16,B))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(B),divide(X_16,inverse(B))) != X_16
| multiply(inverse(B),multiply(X_16,B)) = X_16 ),
inference(resolve,[$cnf( $equal(divide(X_16,inverse(B)),multiply(X_16,B)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(inverse(B),multiply(X_16,B)) = X_16,
inference(resolve,[$cnf( $equal(multiply(inverse(B),divide(X_16,inverse(B))),X_16) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)) = inverse(divide(B,X_21)),
inference(subst,[],[refute_0_85:[bind(X_16,$fot(inverse(divide(B,X_21))))]]) ).
cnf(refute_0_87,plain,
multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))) = X_19,
inference(subst,[],[refute_0_85:[bind(B,$fot(divide(X_13,X_19))),bind(X_16,$fot(X_19))]]) ).
cnf(refute_0_88,plain,
multiply(X_19,divide(X_13,X_19)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_89,plain,
( multiply(X_19,divide(X_13,X_19)) != X_13
| multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))) != X_19
| multiply(inverse(divide(X_13,X_19)),X_13) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))),X_19) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_90,plain,
( multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))) != X_19
| multiply(inverse(divide(X_13,X_19)),X_13) = X_19 ),
inference(resolve,[$cnf( $equal(multiply(X_19,divide(X_13,X_19)),X_13) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(inverse(divide(X_13,X_19)),X_13) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))),X_19) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
multiply(inverse(divide(B,X_21)),B) = X_21,
inference(subst,[],[refute_0_91:[bind(X_13,$fot(B)),bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_93,plain,
( multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)) != inverse(divide(B,X_21))
| multiply(inverse(divide(B,X_21)),B) != X_21
| multiply(inverse(B),X_21) = inverse(divide(B,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)),inverse(divide(B,X_21))) ),[0,1],$fot(X_21)]]) ).
cnf(refute_0_94,plain,
( multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)) != inverse(divide(B,X_21))
| multiply(inverse(B),X_21) = inverse(divide(B,X_21)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),X_21) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(B),X_21) = inverse(divide(B,X_21)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)),inverse(divide(B,X_21))) )],[refute_0_86,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(inverse(B),multiply(X_16,B)) = inverse(divide(B,multiply(X_16,B))),
inference(subst,[],[refute_0_95:[bind(X_21,$fot(multiply(X_16,B)))]]) ).
cnf(refute_0_97,plain,
( multiply(inverse(B),multiply(X_16,B)) != X_16
| multiply(inverse(B),multiply(X_16,B)) != inverse(divide(B,multiply(X_16,B)))
| inverse(divide(B,multiply(X_16,B))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),multiply(X_16,B)),X_16) ),[0],$fot(inverse(divide(B,multiply(X_16,B))))]]) ).
cnf(refute_0_98,plain,
( multiply(inverse(B),multiply(X_16,B)) != X_16
| inverse(divide(B,multiply(X_16,B))) = X_16 ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_16,B)),inverse(divide(B,multiply(X_16,B)))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
inverse(divide(B,multiply(X_16,B))) = X_16,
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_16,B)),X_16) )],[refute_0_85,refute_0_98]) ).
cnf(refute_0_100,plain,
inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))) = X_16,
inference(subst,[],[refute_0_99:[bind(B,$fot(divide(X_30,X_30)))]]) ).
cnf(refute_0_101,plain,
multiply(divide(inverse(B),inverse(B)),X_28) = X_28,
inference(subst,[],[refute_0_71:[bind(B,$fot(X_28)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_102,plain,
multiply(inverse(B),B) = divide(inverse(B),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_103,plain,
( multiply(inverse(B),B) != divide(inverse(B),inverse(B))
| divide(inverse(B),inverse(B)) = multiply(inverse(B),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(B),B))),bind(Y,$fot(divide(inverse(B),inverse(B))))]]) ).
cnf(refute_0_104,plain,
divide(inverse(B),inverse(B)) = multiply(inverse(B),B),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),divide(inverse(B),inverse(B))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( multiply(divide(inverse(B),inverse(B)),X_28) != X_28
| divide(inverse(B),inverse(B)) != multiply(inverse(B),B)
| multiply(multiply(inverse(B),B),X_28) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(B),inverse(B)),X_28),X_28) ),[0,0],$fot(multiply(inverse(B),B))]]) ).
cnf(refute_0_106,plain,
( multiply(divide(inverse(B),inverse(B)),X_28) != X_28
| multiply(multiply(inverse(B),B),X_28) = X_28 ),
inference(resolve,[$cnf( $equal(divide(inverse(B),inverse(B)),multiply(inverse(B),B)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(multiply(inverse(B),B),X_28) = X_28,
inference(resolve,[$cnf( $equal(multiply(divide(inverse(B),inverse(B)),X_28),X_28) )],[refute_0_101,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(inverse(divide(B,B)),X_28) = inverse(divide(divide(B,B),X_28)),
inference(subst,[],[refute_0_95:[bind(B,$fot(divide(B,B))),bind(X_21,$fot(X_28))]]) ).
cnf(refute_0_109,plain,
multiply(inverse(B),B) = inverse(divide(B,B)),
inference(subst,[],[refute_0_95:[bind(X_21,$fot(B))]]) ).
cnf(refute_0_110,plain,
multiply(multiply(inverse(B),B),X_28) = multiply(multiply(inverse(B),B),X_28),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(B),B),X_28))]]) ).
cnf(refute_0_111,plain,
( multiply(multiply(inverse(B),B),X_28) != multiply(multiply(inverse(B),B),X_28)
| multiply(inverse(B),B) != inverse(divide(B,B))
| multiply(multiply(inverse(B),B),X_28) = multiply(inverse(divide(B,B)),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),B),X_28),multiply(multiply(inverse(B),B),X_28)) ),[1,0],$fot(inverse(divide(B,B)))]]) ).
cnf(refute_0_112,plain,
( multiply(inverse(B),B) != inverse(divide(B,B))
| multiply(multiply(inverse(B),B),X_28) = multiply(inverse(divide(B,B)),X_28) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_28),multiply(multiply(inverse(B),B),X_28)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(multiply(inverse(B),B),X_28) = multiply(inverse(divide(B,B)),X_28),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(divide(B,B))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_115,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiply(multiply(inverse(B),B),X_28) != multiply(inverse(divide(B,B)),X_28)
| multiply(inverse(divide(B,B)),X_28) != inverse(divide(divide(B,B),X_28))
| multiply(multiply(inverse(B),B),X_28) = inverse(divide(divide(B,B),X_28)) ),
inference(subst,[],[refute_0_115:[bind(X,$fot(multiply(multiply(inverse(B),B),X_28))),bind(Y,$fot(multiply(inverse(divide(B,B)),X_28))),bind(Z,$fot(inverse(divide(divide(B,B),X_28))))]]) ).
cnf(refute_0_117,plain,
( multiply(inverse(divide(B,B)),X_28) != inverse(divide(divide(B,B),X_28))
| multiply(multiply(inverse(B),B),X_28) = inverse(divide(divide(B,B),X_28)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_28),multiply(inverse(divide(B,B)),X_28)) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(multiply(inverse(B),B),X_28) = inverse(divide(divide(B,B),X_28)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,B)),X_28),inverse(divide(divide(B,B),X_28))) )],[refute_0_108,refute_0_117]) ).
cnf(refute_0_119,plain,
( multiply(multiply(inverse(B),B),X_28) != X_28
| multiply(multiply(inverse(B),B),X_28) != inverse(divide(divide(B,B),X_28))
| inverse(divide(divide(B,B),X_28)) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),B),X_28),X_28) ),[0],$fot(inverse(divide(divide(B,B),X_28)))]]) ).
cnf(refute_0_120,plain,
( multiply(multiply(inverse(B),B),X_28) != X_28
| inverse(divide(divide(B,B),X_28)) = X_28 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_28),inverse(divide(divide(B,B),X_28))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
inverse(divide(divide(B,B),X_28)) = X_28,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_28),X_28) )],[refute_0_107,refute_0_120]) ).
cnf(refute_0_122,plain,
inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))) = multiply(X_16,divide(X_30,X_30)),
inference(subst,[],[refute_0_121:[bind(B,$fot(X_30)),bind(X_28,$fot(multiply(X_16,divide(X_30,X_30))))]]) ).
cnf(refute_0_123,plain,
( inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))) != X_16
| inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))) != multiply(X_16,divide(X_30,X_30))
| multiply(X_16,divide(X_30,X_30)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))),X_16) ),[0],$fot(multiply(X_16,divide(X_30,X_30)))]]) ).
cnf(refute_0_124,plain,
( inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))) != X_16
| multiply(X_16,divide(X_30,X_30)) = X_16 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))),multiply(X_16,divide(X_30,X_30))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(X_16,divide(X_30,X_30)) = X_16,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_30,X_30),multiply(X_16,divide(X_30,X_30)))),X_16) )],[refute_0_100,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(X_40,divide(C,C)) = X_40,
inference(subst,[],[refute_0_125:[bind(X_16,$fot(X_40)),bind(X_30,$fot(C))]]) ).
cnf(refute_0_127,plain,
multiply(multiply(X_2,divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B))),B) = multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),
inference(subst,[],[refute_0_33:[bind(X_3,$fot(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))))]]) ).
cnf(refute_0_128,plain,
divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,divide(multiply(X_2,divide(X_3,divide(X_2,C))),C))),C) = B,
inference(subst,[],[refute_0_12:[bind(A,$fot(multiply(X_2,divide(X_3,divide(X_2,C)))))]]) ).
cnf(refute_0_129,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,C))),C) = X_3,
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_130,plain,
( divide(multiply(X_2,divide(X_3,divide(X_2,C))),C) != X_3
| divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,divide(multiply(X_2,divide(X_3,divide(X_2,C))),C))),C) != B
| divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,X_3)),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,divide(multiply(X_2,divide(X_3,divide(X_2,C))),C))),C),B) ),[0,0,1,1],$fot(X_3)]]) ).
cnf(refute_0_131,plain,
( divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,divide(multiply(X_2,divide(X_3,divide(X_2,C))),C))),C) != B
| divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,X_3)),C) = B ),
inference(resolve,[$cnf( $equal(divide(multiply(X_2,divide(X_3,divide(X_2,C))),C),X_3) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,X_3)),C) = B,
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_2,divide(X_3,divide(X_2,C))),divide(B,divide(multiply(X_2,divide(X_3,divide(X_2,C))),C))),C),B) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B)) = X_8,
inference(subst,[],[refute_0_132:[bind(B,$fot(X_8)),bind(C,$fot(multiply(X_2,B))),bind(X_2,$fot(X_10)),bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_134,plain,
( multiply(multiply(X_2,divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B))),B) != multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))
| divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B)) != X_8
| multiply(multiply(X_2,X_8),B) = multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B))),B),multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))) ),[0,0,1],$fot(X_8)]]) ).
cnf(refute_0_135,plain,
( multiply(multiply(X_2,divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B))),B) != multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))
| multiply(multiply(X_2,X_8),B) = multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B)),X_8) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(multiply(X_2,X_8),B) = multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,divide(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(X_2,B))),B),multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))) )],[refute_0_127,refute_0_135]) ).
cnf(refute_0_137,plain,
multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),
inference(subst,[],[refute_0_33:[bind(B,$fot(X_5)),bind(X_2,$fot(X_6)),bind(X_3,$fot(multiply(A,divide(B,divide(A,multiply(X_6,X_5))))))]]) ).
cnf(refute_0_138,plain,
divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5)) = B,
inference(subst,[],[refute_0_12:[bind(C,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_139,plain,
( multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) != multiply(A,divide(B,divide(A,multiply(X_6,X_5))))
| divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5)) != B
| multiply(multiply(X_6,B),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5),multiply(A,divide(B,divide(A,multiply(X_6,X_5))))) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_140,plain,
( multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) != multiply(A,divide(B,divide(A,multiply(X_6,X_5))))
| multiply(multiply(X_6,B),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) ),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5)),B) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(multiply(X_6,B),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5),multiply(A,divide(B,divide(A,multiply(X_6,X_5))))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( multiply(multiply(X_6,B),X_5) != multiply(A,divide(B,divide(A,multiply(X_6,X_5))))
| multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) = multiply(multiply(X_6,B),X_5) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(X_6,B),X_5))),bind(Y,$fot(multiply(A,divide(B,divide(A,multiply(X_6,X_5))))))]]) ).
cnf(refute_0_143,plain,
multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) = multiply(multiply(X_6,B),X_5),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,B),X_5),multiply(A,divide(B,divide(A,multiply(X_6,X_5))))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))) = multiply(multiply(X_2,X_11),B),
inference(subst,[],[refute_0_143:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(X_5,$fot(B)),bind(X_6,$fot(X_2))]]) ).
cnf(refute_0_145,plain,
multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) = multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)))]]) ).
cnf(refute_0_146,plain,
( multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))) != multiply(multiply(X_2,X_11),B)
| multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) != multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))
| multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) = multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))) ),[1,0],$fot(multiply(multiply(X_2,X_11),B))]]) ).
cnf(refute_0_147,plain,
( multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))) != multiply(multiply(X_2,X_11),B)
| multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) = multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) = multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),multiply(multiply(X_2,X_11),B)) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)) != multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11))
| multiply(multiply(X_2,X_8),B) != multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))
| multiply(multiply(X_2,X_8),B) = multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_2,X_8),B),multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))) ),[1],$fot(multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)))]]) ).
cnf(refute_0_150,plain,
( multiply(multiply(X_2,X_8),B) != multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))
| multiply(multiply(X_2,X_8),B) = multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11)),multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(multiply(X_2,X_8),B) = multiply(multiply(multiply(X_2,X_11),B),divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_2,X_8),B),multiply(multiply(X_10,divide(X_11,divide(X_10,multiply(X_2,B)))),divide(X_8,X_11))) )],[refute_0_136,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_11),B),divide(X_8,X_11)),
inference(subst,[],[refute_0_151:[bind(X_2,$fot(divide(X_60,multiply(X_60,X_11))))]]) ).
cnf(refute_0_153,plain,
inverse(divide(divide(B,B),divide(B,B))) = divide(B,B),
inference(subst,[],[refute_0_121:[bind(X_28,$fot(divide(B,B)))]]) ).
cnf(refute_0_154,plain,
inverse(divide(B,multiply(divide(X_29,X_29),B))) = divide(X_29,X_29),
inference(subst,[],[refute_0_99:[bind(X_16,$fot(divide(X_29,X_29)))]]) ).
cnf(refute_0_155,plain,
multiply(divide(X_29,X_29),B) = B,
inference(subst,[],[refute_0_71:[bind(C,$fot(X_29))]]) ).
cnf(refute_0_156,plain,
( multiply(divide(X_29,X_29),B) != B
| inverse(divide(B,multiply(divide(X_29,X_29),B))) != divide(X_29,X_29)
| inverse(divide(B,B)) = divide(X_29,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(B,multiply(divide(X_29,X_29),B))),divide(X_29,X_29)) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_157,plain,
( inverse(divide(B,multiply(divide(X_29,X_29),B))) != divide(X_29,X_29)
| inverse(divide(B,B)) = divide(X_29,X_29) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,X_29),B),B) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(divide(B,B)) = divide(X_29,X_29),
inference(resolve,[$cnf( $equal(inverse(divide(B,multiply(divide(X_29,X_29),B))),divide(X_29,X_29)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
inverse(divide(divide(B,B),divide(B,B))) = divide(X_35,X_35),
inference(subst,[],[refute_0_158:[bind(B,$fot(divide(B,B))),bind(X_29,$fot(X_35))]]) ).
cnf(refute_0_160,plain,
( inverse(divide(divide(B,B),divide(B,B))) != divide(B,B)
| inverse(divide(divide(B,B),divide(B,B))) != divide(X_35,X_35)
| divide(X_35,X_35) = divide(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(B,B),divide(B,B))),divide(B,B)) ),[0],$fot(divide(X_35,X_35))]]) ).
cnf(refute_0_161,plain,
( inverse(divide(divide(B,B),divide(B,B))) != divide(B,B)
| divide(X_35,X_35) = divide(B,B) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(B,B),divide(B,B))),divide(X_35,X_35)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
divide(X_35,X_35) = divide(B,B),
inference(resolve,[$cnf( $equal(inverse(divide(divide(B,B),divide(B,B))),divide(B,B)) )],[refute_0_153,refute_0_161]) ).
cnf(refute_0_163,plain,
divide(X_35,X_35) = divide(multiply(X_47,X_49),multiply(X_47,X_49)),
inference(subst,[],[refute_0_162:[bind(B,$fot(multiply(X_47,X_49)))]]) ).
cnf(refute_0_164,plain,
divide(multiply(X_47,X_49),multiply(X_47,X_49)) = multiply(divide(X_47,multiply(X_47,X_49)),X_49),
inference(subst,[],[refute_0_67:[bind(A,$fot(X_47)),bind(C,$fot(multiply(X_47,X_49))),bind(X_3,$fot(X_49))]]) ).
cnf(refute_0_165,plain,
( divide(X_35,X_35) != divide(multiply(X_47,X_49),multiply(X_47,X_49))
| divide(multiply(X_47,X_49),multiply(X_47,X_49)) != multiply(divide(X_47,multiply(X_47,X_49)),X_49)
| divide(X_35,X_35) = multiply(divide(X_47,multiply(X_47,X_49)),X_49) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_35,X_35),multiply(divide(X_47,multiply(X_47,X_49)),X_49)) ),[0],$fot(divide(multiply(X_47,X_49),multiply(X_47,X_49)))]]) ).
cnf(refute_0_166,plain,
( divide(X_35,X_35) != divide(multiply(X_47,X_49),multiply(X_47,X_49))
| divide(X_35,X_35) = multiply(divide(X_47,multiply(X_47,X_49)),X_49) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_47,X_49),multiply(X_47,X_49)),multiply(divide(X_47,multiply(X_47,X_49)),X_49)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
divide(X_35,X_35) = multiply(divide(X_47,multiply(X_47,X_49)),X_49),
inference(resolve,[$cnf( $equal(divide(X_35,X_35),divide(multiply(X_47,X_49),multiply(X_47,X_49))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
divide(X_59,X_59) = multiply(divide(X_60,multiply(X_60,X_11)),X_11),
inference(subst,[],[refute_0_167:[bind(X_35,$fot(X_59)),bind(X_47,$fot(X_60)),bind(X_49,$fot(X_11))]]) ).
cnf(refute_0_169,plain,
( divide(X_59,X_59) != multiply(divide(X_60,multiply(X_60,X_11)),X_11)
| multiply(divide(X_60,multiply(X_60,X_11)),X_11) = divide(X_59,X_59) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_59,X_59))),bind(Y,$fot(multiply(divide(X_60,multiply(X_60,X_11)),X_11)))]]) ).
cnf(refute_0_170,plain,
multiply(divide(X_60,multiply(X_60,X_11)),X_11) = divide(X_59,X_59),
inference(resolve,[$cnf( $equal(divide(X_59,X_59),multiply(divide(X_60,multiply(X_60,X_11)),X_11)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_11),B),divide(X_8,X_11))
| multiply(divide(X_60,multiply(X_60,X_11)),X_11) != divide(X_59,X_59)
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_11),B),divide(X_8,X_11))) ),[1,0,0],$fot(divide(X_59,X_59))]]) ).
cnf(refute_0_172,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_11),B),divide(X_8,X_11))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,multiply(X_60,X_11)),X_11),divide(X_59,X_59)) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_11),B),divide(X_8,X_11))) )],[refute_0_152,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(divide(X_59,X_59),B) = B,
inference(subst,[],[refute_0_71:[bind(C,$fot(X_59))]]) ).
cnf(refute_0_175,plain,
multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) = multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)))]]) ).
cnf(refute_0_176,plain,
( multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) != multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))
| multiply(divide(X_59,X_59),B) != B
| multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) = multiply(B,divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)),multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_177,plain,
( multiply(divide(X_59,X_59),B) != B
| multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) = multiply(B,divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)),multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) = multiply(B,divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(divide(X_59,X_59),B),B) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
( multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)) != multiply(B,divide(X_8,X_11))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(B,divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))) ),[1],$fot(multiply(B,divide(X_8,X_11)))]]) ).
cnf(refute_0_180,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(B,divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11)),multiply(B,divide(X_8,X_11))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(B,divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(multiply(divide(X_59,X_59),B),divide(X_8,X_11))) )],[refute_0_173,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(inverse(divide(X_11,X_8)),B) = inverse(divide(divide(X_11,X_8),B)),
inference(subst,[],[refute_0_95:[bind(B,$fot(divide(X_11,X_8))),bind(X_21,$fot(B))]]) ).
cnf(refute_0_183,plain,
multiply(inverse(X_11),X_8) = inverse(divide(X_11,X_8)),
inference(subst,[],[refute_0_95:[bind(B,$fot(X_11)),bind(X_21,$fot(X_8))]]) ).
cnf(refute_0_184,plain,
inverse(divide(B,multiply(divide(X_60,multiply(X_60,B)),B))) = divide(X_60,multiply(X_60,B)),
inference(subst,[],[refute_0_99:[bind(X_16,$fot(divide(X_60,multiply(X_60,B))))]]) ).
cnf(refute_0_185,plain,
divide(X_59,X_59) = multiply(divide(X_60,multiply(X_60,B)),B),
inference(subst,[],[refute_0_167:[bind(X_35,$fot(X_59)),bind(X_47,$fot(X_60)),bind(X_49,$fot(B))]]) ).
cnf(refute_0_186,plain,
( divide(X_59,X_59) != multiply(divide(X_60,multiply(X_60,B)),B)
| multiply(divide(X_60,multiply(X_60,B)),B) = divide(X_59,X_59) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_59,X_59))),bind(Y,$fot(multiply(divide(X_60,multiply(X_60,B)),B)))]]) ).
cnf(refute_0_187,plain,
multiply(divide(X_60,multiply(X_60,B)),B) = divide(X_59,X_59),
inference(resolve,[$cnf( $equal(divide(X_59,X_59),multiply(divide(X_60,multiply(X_60,B)),B)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(divide(X_60,multiply(X_60,B)),B) != divide(X_59,X_59)
| inverse(divide(B,multiply(divide(X_60,multiply(X_60,B)),B))) != divide(X_60,multiply(X_60,B))
| inverse(divide(B,divide(X_59,X_59))) = divide(X_60,multiply(X_60,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(B,multiply(divide(X_60,multiply(X_60,B)),B))),divide(X_60,multiply(X_60,B))) ),[0,0,1],$fot(divide(X_59,X_59))]]) ).
cnf(refute_0_189,plain,
( inverse(divide(B,multiply(divide(X_60,multiply(X_60,B)),B))) != divide(X_60,multiply(X_60,B))
| inverse(divide(B,divide(X_59,X_59))) = divide(X_60,multiply(X_60,B)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,multiply(X_60,B)),B),divide(X_59,X_59)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
inverse(divide(B,divide(X_59,X_59))) = divide(X_60,multiply(X_60,B)),
inference(resolve,[$cnf( $equal(inverse(divide(B,multiply(divide(X_60,multiply(X_60,B)),B))),divide(X_60,multiply(X_60,B))) )],[refute_0_184,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(divide(X_29,X_29)))]]) ).
cnf(refute_0_192,plain,
multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))) = divide(X_13,divide(X_29,X_29)),
inference(subst,[],[refute_0_71:[bind(B,$fot(divide(X_13,divide(X_29,X_29)))),bind(C,$fot(X_29))]]) ).
cnf(refute_0_193,plain,
( multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))) != X_13
| multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))) != divide(X_13,divide(X_29,X_29))
| divide(X_13,divide(X_29,X_29)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))),X_13) ),[0],$fot(divide(X_13,divide(X_29,X_29)))]]) ).
cnf(refute_0_194,plain,
( multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))) != X_13
| divide(X_13,divide(X_29,X_29)) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))),divide(X_13,divide(X_29,X_29))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
divide(X_13,divide(X_29,X_29)) = X_13,
inference(resolve,[$cnf( $equal(multiply(divide(X_29,X_29),divide(X_13,divide(X_29,X_29))),X_13) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
divide(B,divide(X_59,X_59)) = B,
inference(subst,[],[refute_0_195:[bind(X_13,$fot(B)),bind(X_29,$fot(X_59))]]) ).
cnf(refute_0_197,plain,
inverse(divide(B,divide(X_59,X_59))) = inverse(divide(B,divide(X_59,X_59))),
introduced(tautology,[refl,[$fot(inverse(divide(B,divide(X_59,X_59))))]]) ).
cnf(refute_0_198,plain,
( divide(B,divide(X_59,X_59)) != B
| inverse(divide(B,divide(X_59,X_59))) != inverse(divide(B,divide(X_59,X_59)))
| inverse(divide(B,divide(X_59,X_59))) = inverse(B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(B,divide(X_59,X_59))),inverse(divide(B,divide(X_59,X_59)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_199,plain,
( divide(B,divide(X_59,X_59)) != B
| inverse(divide(B,divide(X_59,X_59))) = inverse(B) ),
inference(resolve,[$cnf( $equal(inverse(divide(B,divide(X_59,X_59))),inverse(divide(B,divide(X_59,X_59)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
inverse(divide(B,divide(X_59,X_59))) = inverse(B),
inference(resolve,[$cnf( $equal(divide(B,divide(X_59,X_59)),B) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( inverse(divide(B,divide(X_59,X_59))) != divide(X_60,multiply(X_60,B))
| inverse(divide(B,divide(X_59,X_59))) != inverse(B)
| inverse(B) = divide(X_60,multiply(X_60,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(B,divide(X_59,X_59))),divide(X_60,multiply(X_60,B))) ),[0],$fot(inverse(B))]]) ).
cnf(refute_0_202,plain,
( inverse(divide(B,divide(X_59,X_59))) != divide(X_60,multiply(X_60,B))
| inverse(B) = divide(X_60,multiply(X_60,B)) ),
inference(resolve,[$cnf( $equal(inverse(divide(B,divide(X_59,X_59))),inverse(B)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
inverse(B) = divide(X_60,multiply(X_60,B)),
inference(resolve,[$cnf( $equal(inverse(divide(B,divide(X_59,X_59))),divide(X_60,multiply(X_60,B))) )],[refute_0_190,refute_0_202]) ).
cnf(refute_0_204,plain,
( inverse(B) != divide(X_60,multiply(X_60,B))
| divide(X_60,multiply(X_60,B)) = inverse(B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(B))),bind(Y,$fot(divide(X_60,multiply(X_60,B))))]]) ).
cnf(refute_0_205,plain,
divide(X_60,multiply(X_60,B)) = inverse(B),
inference(resolve,[$cnf( $equal(inverse(B),divide(X_60,multiply(X_60,B))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
divide(X_60,multiply(X_60,X_11)) = inverse(X_11),
inference(subst,[],[refute_0_205:[bind(B,$fot(X_11))]]) ).
cnf(refute_0_207,plain,
multiply(divide(X_60,multiply(X_60,X_11)),X_8) = multiply(divide(X_60,multiply(X_60,X_11)),X_8),
introduced(tautology,[refl,[$fot(multiply(divide(X_60,multiply(X_60,X_11)),X_8))]]) ).
cnf(refute_0_208,plain,
( multiply(divide(X_60,multiply(X_60,X_11)),X_8) != multiply(divide(X_60,multiply(X_60,X_11)),X_8)
| divide(X_60,multiply(X_60,X_11)) != inverse(X_11)
| multiply(divide(X_60,multiply(X_60,X_11)),X_8) = multiply(inverse(X_11),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_60,multiply(X_60,X_11)),X_8),multiply(divide(X_60,multiply(X_60,X_11)),X_8)) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_209,plain,
( divide(X_60,multiply(X_60,X_11)) != inverse(X_11)
| multiply(divide(X_60,multiply(X_60,X_11)),X_8) = multiply(inverse(X_11),X_8) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,multiply(X_60,X_11)),X_8),multiply(divide(X_60,multiply(X_60,X_11)),X_8)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(divide(X_60,multiply(X_60,X_11)),X_8) = multiply(inverse(X_11),X_8),
inference(resolve,[$cnf( $equal(divide(X_60,multiply(X_60,X_11)),inverse(X_11)) )],[refute_0_206,refute_0_209]) ).
cnf(refute_0_211,plain,
( multiply(divide(X_60,multiply(X_60,X_11)),X_8) != multiply(inverse(X_11),X_8)
| multiply(inverse(X_11),X_8) != inverse(divide(X_11,X_8))
| multiply(divide(X_60,multiply(X_60,X_11)),X_8) = inverse(divide(X_11,X_8)) ),
inference(subst,[],[refute_0_115:[bind(X,$fot(multiply(divide(X_60,multiply(X_60,X_11)),X_8))),bind(Y,$fot(multiply(inverse(X_11),X_8))),bind(Z,$fot(inverse(divide(X_11,X_8))))]]) ).
cnf(refute_0_212,plain,
( multiply(inverse(X_11),X_8) != inverse(divide(X_11,X_8))
| multiply(divide(X_60,multiply(X_60,X_11)),X_8) = inverse(divide(X_11,X_8)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,multiply(X_60,X_11)),X_8),multiply(inverse(X_11),X_8)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(divide(X_60,multiply(X_60,X_11)),X_8) = inverse(divide(X_11,X_8)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),X_8),inverse(divide(X_11,X_8))) )],[refute_0_183,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B))]]) ).
cnf(refute_0_215,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B)
| multiply(divide(X_60,multiply(X_60,X_11)),X_8) != inverse(divide(X_11,X_8))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(inverse(divide(X_11,X_8)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B)) ),[1,0],$fot(inverse(divide(X_11,X_8)))]]) ).
cnf(refute_0_216,plain,
( multiply(divide(X_60,multiply(X_60,X_11)),X_8) != inverse(divide(X_11,X_8))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(inverse(divide(X_11,X_8)),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = multiply(inverse(divide(X_11,X_8)),B),
inference(resolve,[$cnf( $equal(multiply(divide(X_60,multiply(X_60,X_11)),X_8),inverse(divide(X_11,X_8))) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(inverse(divide(X_11,X_8)),B)
| multiply(inverse(divide(X_11,X_8)),B) != inverse(divide(divide(X_11,X_8),B))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = inverse(divide(divide(X_11,X_8),B)) ),
inference(subst,[],[refute_0_115:[bind(X,$fot(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B))),bind(Y,$fot(multiply(inverse(divide(X_11,X_8)),B))),bind(Z,$fot(inverse(divide(divide(X_11,X_8),B))))]]) ).
cnf(refute_0_219,plain,
( multiply(inverse(divide(X_11,X_8)),B) != inverse(divide(divide(X_11,X_8),B))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = inverse(divide(divide(X_11,X_8),B)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(inverse(divide(X_11,X_8)),B)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) = inverse(divide(divide(X_11,X_8),B)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_11,X_8)),B),inverse(divide(divide(X_11,X_8),B))) )],[refute_0_182,refute_0_219]) ).
cnf(refute_0_221,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(B,divide(X_8,X_11))
| multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != inverse(divide(divide(X_11,X_8),B))
| inverse(divide(divide(X_11,X_8),B)) = multiply(B,divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(B,divide(X_8,X_11))) ),[0],$fot(inverse(divide(divide(X_11,X_8),B)))]]) ).
cnf(refute_0_222,plain,
( multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B) != multiply(B,divide(X_8,X_11))
| inverse(divide(divide(X_11,X_8),B)) = multiply(B,divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),inverse(divide(divide(X_11,X_8),B))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(divide(divide(X_11,X_8),B)) = multiply(B,divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_60,multiply(X_60,X_11)),X_8),B),multiply(B,divide(X_8,X_11))) )],[refute_0_181,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(inverse(divide(B,X_21)),B) = divide(inverse(divide(B,X_21)),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(inverse(divide(B,X_21))))]]) ).
cnf(refute_0_225,plain,
( multiply(inverse(divide(B,X_21)),B) != X_21
| multiply(inverse(divide(B,X_21)),B) != divide(inverse(divide(B,X_21)),inverse(B))
| X_21 = divide(inverse(divide(B,X_21)),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),divide(inverse(divide(B,X_21)),inverse(B))) ),[0],$fot(X_21)]]) ).
cnf(refute_0_226,plain,
( multiply(inverse(divide(B,X_21)),B) != divide(inverse(divide(B,X_21)),inverse(B))
| X_21 = divide(inverse(divide(B,X_21)),inverse(B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),X_21) )],[refute_0_92,refute_0_225]) ).
cnf(refute_0_227,plain,
X_21 = divide(inverse(divide(B,X_21)),inverse(B)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),divide(inverse(divide(B,X_21)),inverse(B))) )],[refute_0_224,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(inverse(divide(B,X_21)),B) = inverse(divide(divide(B,X_21),B)),
inference(subst,[],[refute_0_95:[bind(B,$fot(divide(B,X_21))),bind(X_21,$fot(B))]]) ).
cnf(refute_0_229,plain,
divide(inverse(divide(B,X_21)),inverse(B)) = multiply(inverse(divide(B,X_21)),B),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(divide(B,X_21))))]]) ).
cnf(refute_0_230,plain,
( multiply(inverse(divide(B,X_21)),B) != inverse(divide(divide(B,X_21),B))
| divide(inverse(divide(B,X_21)),inverse(B)) != multiply(inverse(divide(B,X_21)),B)
| divide(inverse(divide(B,X_21)),inverse(B)) = inverse(divide(divide(B,X_21),B)) ),
inference(subst,[],[refute_0_115:[bind(X,$fot(divide(inverse(divide(B,X_21)),inverse(B)))),bind(Y,$fot(multiply(inverse(divide(B,X_21)),B))),bind(Z,$fot(inverse(divide(divide(B,X_21),B))))]]) ).
cnf(refute_0_231,plain,
( multiply(inverse(divide(B,X_21)),B) != inverse(divide(divide(B,X_21),B))
| divide(inverse(divide(B,X_21)),inverse(B)) = inverse(divide(divide(B,X_21),B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(B,X_21)),inverse(B)),multiply(inverse(divide(B,X_21)),B)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
divide(inverse(divide(B,X_21)),inverse(B)) = inverse(divide(divide(B,X_21),B)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),inverse(divide(divide(B,X_21),B))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
( X_21 != divide(inverse(divide(B,X_21)),inverse(B))
| divide(inverse(divide(B,X_21)),inverse(B)) != inverse(divide(divide(B,X_21),B))
| X_21 = inverse(divide(divide(B,X_21),B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_21,inverse(divide(divide(B,X_21),B))) ),[0],$fot(divide(inverse(divide(B,X_21)),inverse(B)))]]) ).
cnf(refute_0_234,plain,
( X_21 != divide(inverse(divide(B,X_21)),inverse(B))
| X_21 = inverse(divide(divide(B,X_21),B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(B,X_21)),inverse(B)),inverse(divide(divide(B,X_21),B))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
X_21 = inverse(divide(divide(B,X_21),B)),
inference(resolve,[$cnf( $equal(X_21,divide(inverse(divide(B,X_21)),inverse(B))) )],[refute_0_227,refute_0_234]) ).
cnf(refute_0_236,plain,
X_25 = inverse(divide(divide(inverse(B),X_25),inverse(B))),
inference(subst,[],[refute_0_235:[bind(B,$fot(inverse(B))),bind(X_21,$fot(X_25))]]) ).
cnf(refute_0_237,plain,
multiply(divide(inverse(B),X_25),B) = divide(divide(inverse(B),X_25),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(divide(inverse(B),X_25)))]]) ).
cnf(refute_0_238,plain,
( multiply(divide(inverse(B),X_25),B) != divide(divide(inverse(B),X_25),inverse(B))
| divide(divide(inverse(B),X_25),inverse(B)) = multiply(divide(inverse(B),X_25),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(inverse(B),X_25),B))),bind(Y,$fot(divide(divide(inverse(B),X_25),inverse(B))))]]) ).
cnf(refute_0_239,plain,
divide(divide(inverse(B),X_25),inverse(B)) = multiply(divide(inverse(B),X_25),B),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(B),X_25),B),divide(divide(inverse(B),X_25),inverse(B))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( X_25 != inverse(divide(divide(inverse(B),X_25),inverse(B)))
| divide(divide(inverse(B),X_25),inverse(B)) != multiply(divide(inverse(B),X_25),B)
| X_25 = inverse(multiply(divide(inverse(B),X_25),B)) ),
introduced(tautology,[equality,[$cnf( $equal(X_25,inverse(divide(divide(inverse(B),X_25),inverse(B)))) ),[1,0],$fot(multiply(divide(inverse(B),X_25),B))]]) ).
cnf(refute_0_241,plain,
( X_25 != inverse(divide(divide(inverse(B),X_25),inverse(B)))
| X_25 = inverse(multiply(divide(inverse(B),X_25),B)) ),
inference(resolve,[$cnf( $equal(divide(divide(inverse(B),X_25),inverse(B)),multiply(divide(inverse(B),X_25),B)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
X_25 = inverse(multiply(divide(inverse(B),X_25),B)),
inference(resolve,[$cnf( $equal(X_25,inverse(divide(divide(inverse(B),X_25),inverse(B)))) )],[refute_0_236,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(inverse(B),X_65) = inverse(multiply(divide(inverse(B),multiply(inverse(B),X_65)),B)),
inference(subst,[],[refute_0_242:[bind(X_25,$fot(multiply(inverse(B),X_65)))]]) ).
cnf(refute_0_244,plain,
inverse(X_65) = divide(inverse(B),multiply(inverse(B),X_65)),
inference(subst,[],[refute_0_203:[bind(B,$fot(X_65)),bind(X_60,$fot(inverse(B)))]]) ).
cnf(refute_0_245,plain,
( inverse(X_65) != divide(inverse(B),multiply(inverse(B),X_65))
| divide(inverse(B),multiply(inverse(B),X_65)) = inverse(X_65) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_65))),bind(Y,$fot(divide(inverse(B),multiply(inverse(B),X_65))))]]) ).
cnf(refute_0_246,plain,
divide(inverse(B),multiply(inverse(B),X_65)) = inverse(X_65),
inference(resolve,[$cnf( $equal(inverse(X_65),divide(inverse(B),multiply(inverse(B),X_65))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( multiply(inverse(B),X_65) != inverse(multiply(divide(inverse(B),multiply(inverse(B),X_65)),B))
| divide(inverse(B),multiply(inverse(B),X_65)) != inverse(X_65)
| multiply(inverse(B),X_65) = inverse(multiply(inverse(X_65),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),X_65),inverse(multiply(divide(inverse(B),multiply(inverse(B),X_65)),B))) ),[1,0,0],$fot(inverse(X_65))]]) ).
cnf(refute_0_248,plain,
( multiply(inverse(B),X_65) != inverse(multiply(divide(inverse(B),multiply(inverse(B),X_65)),B))
| multiply(inverse(B),X_65) = inverse(multiply(inverse(X_65),B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(B),multiply(inverse(B),X_65)),inverse(X_65)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(inverse(B),X_65) = inverse(multiply(inverse(X_65),B)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),X_65),inverse(multiply(divide(inverse(B),multiply(inverse(B),X_65)),B))) )],[refute_0_243,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(inverse(B),X_65) = inverse(divide(B,X_65)),
inference(subst,[],[refute_0_95:[bind(X_21,$fot(X_65))]]) ).
cnf(refute_0_251,plain,
( multiply(inverse(B),X_65) != inverse(multiply(inverse(X_65),B))
| multiply(inverse(B),X_65) != inverse(divide(B,X_65))
| inverse(divide(B,X_65)) = inverse(multiply(inverse(X_65),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),X_65),inverse(multiply(inverse(X_65),B))) ),[0],$fot(inverse(divide(B,X_65)))]]) ).
cnf(refute_0_252,plain,
( multiply(inverse(B),X_65) != inverse(multiply(inverse(X_65),B))
| inverse(divide(B,X_65)) = inverse(multiply(inverse(X_65),B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),X_65),inverse(divide(B,X_65))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(divide(X_34,X_34)) = divide(B,B),
inference(subst,[],[refute_0_158:[bind(B,$fot(X_34)),bind(X_29,$fot(B))]]) ).
cnf(refute_0_254,plain,
( inverse(divide(X_34,X_34)) != divide(B,B)
| divide(B,B) = inverse(divide(X_34,X_34)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(divide(X_34,X_34)))),bind(Y,$fot(divide(B,B)))]]) ).
cnf(refute_0_255,plain,
divide(B,B) = inverse(divide(X_34,X_34)),
inference(resolve,[$cnf( $equal(inverse(divide(X_34,X_34)),divide(B,B)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( divide(B,B) != inverse(divide(X_34,X_34))
| inverse(divide(divide(B,B),X_28)) != X_28
| inverse(divide(inverse(divide(X_34,X_34)),X_28)) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(B,B),X_28)),X_28) ),[0,0,0],$fot(inverse(divide(X_34,X_34)))]]) ).
cnf(refute_0_257,plain,
( inverse(divide(divide(B,B),X_28)) != X_28
| inverse(divide(inverse(divide(X_34,X_34)),X_28)) = X_28 ),
inference(resolve,[$cnf( $equal(divide(B,B),inverse(divide(X_34,X_34))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
inverse(divide(inverse(divide(X_34,X_34)),X_28)) = X_28,
inference(resolve,[$cnf( $equal(inverse(divide(divide(B,B),X_28)),X_28) )],[refute_0_121,refute_0_257]) ).
cnf(refute_0_259,plain,
inverse(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))) = multiply(inverse(divide(X_34,X_34)),X_65),
inference(subst,[],[refute_0_258:[bind(X_28,$fot(multiply(inverse(divide(X_34,X_34)),X_65)))]]) ).
cnf(refute_0_260,plain,
inverse(X_65) = divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65)),
inference(subst,[],[refute_0_203:[bind(B,$fot(X_65)),bind(X_60,$fot(inverse(divide(X_34,X_34))))]]) ).
cnf(refute_0_261,plain,
( inverse(X_65) != divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))
| divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65)) = inverse(X_65) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_65))),bind(Y,$fot(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))))]]) ).
cnf(refute_0_262,plain,
divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65)) = inverse(X_65),
inference(resolve,[$cnf( $equal(inverse(X_65),divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
( divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65)) != inverse(X_65)
| inverse(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))) != multiply(inverse(divide(X_34,X_34)),X_65)
| inverse(inverse(X_65)) = multiply(inverse(divide(X_34,X_34)),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))),multiply(inverse(divide(X_34,X_34)),X_65)) ),[0,0],$fot(inverse(X_65))]]) ).
cnf(refute_0_264,plain,
( inverse(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))) != multiply(inverse(divide(X_34,X_34)),X_65)
| inverse(inverse(X_65)) = multiply(inverse(divide(X_34,X_34)),X_65) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65)),inverse(X_65)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
inverse(inverse(X_65)) = multiply(inverse(divide(X_34,X_34)),X_65),
inference(resolve,[$cnf( $equal(inverse(divide(inverse(divide(X_34,X_34)),multiply(inverse(divide(X_34,X_34)),X_65))),multiply(inverse(divide(X_34,X_34)),X_65)) )],[refute_0_259,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(X_65,divide(X_34,X_34)) = X_65,
inference(subst,[],[refute_0_125:[bind(X_16,$fot(X_65)),bind(X_30,$fot(X_34))]]) ).
cnf(refute_0_267,plain,
inverse(divide(divide(X_34,X_34),X_65)) = multiply(X_65,divide(X_34,X_34)),
inference(subst,[],[refute_0_223:[bind(B,$fot(X_65)),bind(X_11,$fot(X_34)),bind(X_8,$fot(X_34))]]) ).
cnf(refute_0_268,plain,
( multiply(X_65,divide(X_34,X_34)) != X_65
| inverse(divide(divide(X_34,X_34),X_65)) != multiply(X_65,divide(X_34,X_34))
| inverse(divide(divide(X_34,X_34),X_65)) = X_65 ),
inference(subst,[],[refute_0_115:[bind(X,$fot(inverse(divide(divide(X_34,X_34),X_65)))),bind(Y,$fot(multiply(X_65,divide(X_34,X_34)))),bind(Z,$fot(X_65))]]) ).
cnf(refute_0_269,plain,
( multiply(X_65,divide(X_34,X_34)) != X_65
| inverse(divide(divide(X_34,X_34),X_65)) = X_65 ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_34,X_34),X_65)),multiply(X_65,divide(X_34,X_34))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
inverse(divide(divide(X_34,X_34),X_65)) = X_65,
inference(resolve,[$cnf( $equal(multiply(X_65,divide(X_34,X_34)),X_65) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
multiply(inverse(divide(X_34,X_34)),X_65) = inverse(divide(divide(X_34,X_34),X_65)),
inference(subst,[],[refute_0_95:[bind(B,$fot(divide(X_34,X_34))),bind(X_21,$fot(X_65))]]) ).
cnf(refute_0_272,plain,
( multiply(inverse(divide(X_34,X_34)),X_65) != inverse(divide(divide(X_34,X_34),X_65))
| inverse(divide(divide(X_34,X_34),X_65)) != X_65
| multiply(inverse(divide(X_34,X_34)),X_65) = X_65 ),
inference(subst,[],[refute_0_115:[bind(X,$fot(multiply(inverse(divide(X_34,X_34)),X_65))),bind(Y,$fot(inverse(divide(divide(X_34,X_34),X_65)))),bind(Z,$fot(X_65))]]) ).
cnf(refute_0_273,plain,
( inverse(divide(divide(X_34,X_34),X_65)) != X_65
| multiply(inverse(divide(X_34,X_34)),X_65) = X_65 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_34,X_34)),X_65),inverse(divide(divide(X_34,X_34),X_65))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(inverse(divide(X_34,X_34)),X_65) = X_65,
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_34,X_34),X_65)),X_65) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( multiply(inverse(divide(X_34,X_34)),X_65) != X_65
| inverse(inverse(X_65)) != multiply(inverse(divide(X_34,X_34)),X_65)
| inverse(inverse(X_65)) = X_65 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_65)),multiply(inverse(divide(X_34,X_34)),X_65)) ),[1],$fot(X_65)]]) ).
cnf(refute_0_276,plain,
( inverse(inverse(X_65)) != multiply(inverse(divide(X_34,X_34)),X_65)
| inverse(inverse(X_65)) = X_65 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_34,X_34)),X_65),X_65) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
inverse(inverse(X_65)) = X_65,
inference(resolve,[$cnf( $equal(inverse(inverse(X_65)),multiply(inverse(divide(X_34,X_34)),X_65)) )],[refute_0_265,refute_0_276]) ).
cnf(refute_0_278,plain,
inverse(inverse(divide(X_65,B))) = divide(X_65,B),
inference(subst,[],[refute_0_277:[bind(X_65,$fot(divide(X_65,B)))]]) ).
cnf(refute_0_279,plain,
multiply(inverse(X_65),B) = inverse(divide(X_65,B)),
inference(subst,[],[refute_0_95:[bind(B,$fot(X_65)),bind(X_21,$fot(B))]]) ).
cnf(refute_0_280,plain,
inverse(multiply(inverse(X_65),B)) = inverse(multiply(inverse(X_65),B)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_65),B)))]]) ).
cnf(refute_0_281,plain,
( multiply(inverse(X_65),B) != inverse(divide(X_65,B))
| inverse(multiply(inverse(X_65),B)) != inverse(multiply(inverse(X_65),B))
| inverse(multiply(inverse(X_65),B)) = inverse(inverse(divide(X_65,B))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_65),B)),inverse(multiply(inverse(X_65),B))) ),[1,0],$fot(inverse(divide(X_65,B)))]]) ).
cnf(refute_0_282,plain,
( multiply(inverse(X_65),B) != inverse(divide(X_65,B))
| inverse(multiply(inverse(X_65),B)) = inverse(inverse(divide(X_65,B))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_65),B)),inverse(multiply(inverse(X_65),B))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
inverse(multiply(inverse(X_65),B)) = inverse(inverse(divide(X_65,B))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_65),B),inverse(divide(X_65,B))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
( inverse(multiply(inverse(X_65),B)) != inverse(inverse(divide(X_65,B)))
| inverse(inverse(divide(X_65,B))) != divide(X_65,B)
| inverse(multiply(inverse(X_65),B)) = divide(X_65,B) ),
inference(subst,[],[refute_0_115:[bind(X,$fot(inverse(multiply(inverse(X_65),B)))),bind(Y,$fot(inverse(inverse(divide(X_65,B))))),bind(Z,$fot(divide(X_65,B)))]]) ).
cnf(refute_0_285,plain,
( inverse(inverse(divide(X_65,B))) != divide(X_65,B)
| inverse(multiply(inverse(X_65),B)) = divide(X_65,B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_65),B)),inverse(inverse(divide(X_65,B)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
inverse(multiply(inverse(X_65),B)) = divide(X_65,B),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_65,B))),divide(X_65,B)) )],[refute_0_278,refute_0_285]) ).
cnf(refute_0_287,plain,
( inverse(multiply(inverse(X_65),B)) != divide(X_65,B)
| inverse(divide(B,X_65)) != inverse(multiply(inverse(X_65),B))
| inverse(divide(B,X_65)) = divide(X_65,B) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(B,X_65)),inverse(multiply(inverse(X_65),B))) ),[1],$fot(divide(X_65,B))]]) ).
cnf(refute_0_288,plain,
( inverse(divide(B,X_65)) != inverse(multiply(inverse(X_65),B))
| inverse(divide(B,X_65)) = divide(X_65,B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_65),B)),divide(X_65,B)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( multiply(inverse(B),X_65) != inverse(multiply(inverse(X_65),B))
| inverse(divide(B,X_65)) = divide(X_65,B) ),
inference(resolve,[$cnf( $equal(inverse(divide(B,X_65)),inverse(multiply(inverse(X_65),B))) )],[refute_0_252,refute_0_288]) ).
cnf(refute_0_290,plain,
inverse(divide(B,X_65)) = divide(X_65,B),
inference(resolve,[$cnf( $equal(multiply(inverse(B),X_65),inverse(multiply(inverse(X_65),B))) )],[refute_0_249,refute_0_289]) ).
cnf(refute_0_291,plain,
inverse(divide(divide(X_11,X_8),B)) = divide(B,divide(X_11,X_8)),
inference(subst,[],[refute_0_290:[bind(B,$fot(divide(X_11,X_8))),bind(X_65,$fot(B))]]) ).
cnf(refute_0_292,plain,
( inverse(divide(divide(X_11,X_8),B)) != multiply(B,divide(X_8,X_11))
| inverse(divide(divide(X_11,X_8),B)) != divide(B,divide(X_11,X_8))
| divide(B,divide(X_11,X_8)) = multiply(B,divide(X_8,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_11,X_8),B)),multiply(B,divide(X_8,X_11))) ),[0],$fot(divide(B,divide(X_11,X_8)))]]) ).
cnf(refute_0_293,plain,
( inverse(divide(divide(X_11,X_8),B)) != multiply(B,divide(X_8,X_11))
| divide(B,divide(X_11,X_8)) = multiply(B,divide(X_8,X_11)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_11,X_8),B)),divide(B,divide(X_11,X_8))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
divide(B,divide(X_11,X_8)) = multiply(B,divide(X_8,X_11)),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_11,X_8),B)),multiply(B,divide(X_8,X_11))) )],[refute_0_223,refute_0_293]) ).
cnf(refute_0_295,plain,
divide(X_40,divide(C,C)) = multiply(X_40,divide(C,C)),
inference(subst,[],[refute_0_294:[bind(B,$fot(X_40)),bind(X_11,$fot(C)),bind(X_8,$fot(C))]]) ).
cnf(refute_0_296,plain,
( multiply(X_40,divide(C,C)) != X_40
| divide(X_40,divide(C,C)) != multiply(X_40,divide(C,C))
| divide(X_40,divide(C,C)) = X_40 ),
inference(subst,[],[refute_0_115:[bind(X,$fot(divide(X_40,divide(C,C)))),bind(Y,$fot(multiply(X_40,divide(C,C)))),bind(Z,$fot(X_40))]]) ).
cnf(refute_0_297,plain,
( multiply(X_40,divide(C,C)) != X_40
| divide(X_40,divide(C,C)) = X_40 ),
inference(resolve,[$cnf( $equal(divide(X_40,divide(C,C)),multiply(X_40,divide(C,C))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
divide(X_40,divide(C,C)) = X_40,
inference(resolve,[$cnf( $equal(multiply(X_40,divide(C,C)),X_40) )],[refute_0_126,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(X_39,divide(X_40,divide(C,C))) = multiply(X_39,divide(X_40,divide(C,C))),
introduced(tautology,[refl,[$fot(multiply(X_39,divide(X_40,divide(C,C))))]]) ).
cnf(refute_0_300,plain,
( multiply(X_39,divide(X_40,divide(C,C))) != multiply(X_39,divide(X_40,divide(C,C)))
| divide(X_40,divide(C,C)) != X_40
| multiply(X_39,divide(X_40,divide(C,C))) = multiply(X_39,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,divide(X_40,divide(C,C))),multiply(X_39,divide(X_40,divide(C,C)))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_301,plain,
( divide(X_40,divide(C,C)) != X_40
| multiply(X_39,divide(X_40,divide(C,C))) = multiply(X_39,X_40) ),
inference(resolve,[$cnf( $equal(multiply(X_39,divide(X_40,divide(C,C))),multiply(X_39,divide(X_40,divide(C,C)))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(X_39,divide(X_40,divide(C,C))) = multiply(X_39,X_40),
inference(resolve,[$cnf( $equal(divide(X_40,divide(C,C)),X_40) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
divide(X_39,divide(divide(C,C),X_40)) = multiply(X_39,divide(X_40,divide(C,C))),
inference(subst,[],[refute_0_294:[bind(B,$fot(X_39)),bind(X_11,$fot(divide(C,C))),bind(X_8,$fot(X_40))]]) ).
cnf(refute_0_304,plain,
( multiply(X_39,divide(X_40,divide(C,C))) != multiply(X_39,X_40)
| divide(X_39,divide(divide(C,C),X_40)) != multiply(X_39,divide(X_40,divide(C,C)))
| divide(X_39,divide(divide(C,C),X_40)) = multiply(X_39,X_40) ),
inference(subst,[],[refute_0_115:[bind(X,$fot(divide(X_39,divide(divide(C,C),X_40)))),bind(Y,$fot(multiply(X_39,divide(X_40,divide(C,C))))),bind(Z,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_305,plain,
( multiply(X_39,divide(X_40,divide(C,C))) != multiply(X_39,X_40)
| divide(X_39,divide(divide(C,C),X_40)) = multiply(X_39,X_40) ),
inference(resolve,[$cnf( $equal(divide(X_39,divide(divide(C,C),X_40)),multiply(X_39,divide(X_40,divide(C,C)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
divide(X_39,divide(divide(C,C),X_40)) = multiply(X_39,X_40),
inference(resolve,[$cnf( $equal(multiply(X_39,divide(X_40,divide(C,C))),multiply(X_39,X_40)) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(X_40,X_39) != divide(X_39,divide(divide(C,C),X_40))
| divide(X_39,divide(divide(C,C),X_40)) != multiply(X_39,X_40)
| multiply(X_40,X_39) = multiply(X_39,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_40,X_39),multiply(X_39,X_40)) ),[0],$fot(divide(X_39,divide(divide(C,C),X_40)))]]) ).
cnf(refute_0_308,plain,
( multiply(X_40,X_39) != divide(X_39,divide(divide(C,C),X_40))
| multiply(X_40,X_39) = multiply(X_39,X_40) ),
inference(resolve,[$cnf( $equal(divide(X_39,divide(divide(C,C),X_40)),multiply(X_39,X_40)) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(X_40,X_39) = multiply(X_39,X_40),
inference(resolve,[$cnf( $equal(multiply(X_40,X_39),divide(X_39,divide(divide(C,C),X_40))) )],[refute_0_78,refute_0_308]) ).
cnf(refute_0_310,plain,
( multiply(X_40,X_39) != multiply(X_39,X_40)
| multiply(X_39,X_40) = multiply(X_40,X_39) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_40,X_39))),bind(Y,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_311,plain,
multiply(X_39,X_40) = multiply(X_40,X_39),
inference(resolve,[$cnf( $equal(multiply(X_40,X_39),multiply(X_39,X_40)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_311:[bind(X_39,$fot(b)),bind(X_40,$fot(a))]]) ).
cnf(refute_0_313,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_314,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_314,prove_these_axioms_4]) ).
cnf(refute_0_316,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_317,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_316,refute_0_315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP556-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 12:13:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.57
%------------------------------------------------------------------------------