TSTP Solution File: GRP555-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% 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 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 68
% Syntax : Number of clauses : 278 ( 147 unt; 0 nHn; 136 RR)
% Number of literals : 467 ( 466 equ; 192 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 702 ( 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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,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,$fot(multiply(X_2,divide(X_3,divide(X_2,inverse(B))))))]]) ).
cnf(refute_0_1,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_2,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_3,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_5,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[multiply,refute_0_4]) ).
cnf(refute_0_6,plain,
divide(A,inverse(divide(B,divide(A,C)))) = multiply(A,divide(B,divide(A,C))),
inference(subst,[],[refute_0_5:[bind(B,$fot(divide(B,divide(A,C))))]]) ).
cnf(refute_0_7,plain,
divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(divide(A,inverse(divide(B,divide(A,C)))),C),
introduced(tautology,[refl,[$fot(divide(divide(A,inverse(divide(B,divide(A,C)))),C))]]) ).
cnf(refute_0_8,plain,
( divide(A,inverse(divide(B,divide(A,C)))) != multiply(A,divide(B,divide(A,C)))
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) != divide(divide(A,inverse(divide(B,divide(A,C)))),C)
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(multiply(A,divide(B,divide(A,C))),C) ),
introduced(tautology,[equality,[$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_9,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( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),divide(divide(A,inverse(divide(B,divide(A,C)))),C)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(divide(A,inverse(divide(B,divide(A,C)))),C) = divide(multiply(A,divide(B,divide(A,C))),C),
inference(resolve,[$cnf( $equal(divide(A,inverse(divide(B,divide(A,C)))),multiply(A,divide(B,divide(A,C)))) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( divide(divide(A,inverse(divide(B,divide(A,C)))),C) != B
| divide(divide(A,inverse(divide(B,divide(A,C)))),C) != divide(multiply(A,divide(B,divide(A,C))),C)
| divide(multiply(A,divide(B,divide(A,C))),C) = B ),
introduced(tautology,[equality,[$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_12,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( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),divide(multiply(A,divide(B,divide(A,C))),C)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(multiply(A,divide(B,divide(A,C))),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(A,inverse(divide(B,divide(A,C)))),C),B) )],[single_axiom,refute_0_12]) ).
cnf(refute_0_14,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B)) = X_3,
inference(subst,[],[refute_0_13:[bind(A,$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( $equal(multiply(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),B),divide(multiply(X_2,divide(X_3,divide(X_2,inverse(B)))),inverse(B))) )],[refute_0_0,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(X_2,inverse(B)) = multiply(X_2,B),
inference(subst,[],[refute_0_5:[bind(A,$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,$fot(X_17))]]) ).
cnf(refute_0_45,plain,
divide(multiply(A,divide(B,divide(A,X_17))),X_17) = B,
inference(subst,[],[refute_0_13:[bind(C,$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( $equal(multiply(X_17,divide(multiply(A,divide(B,divide(A,X_17))),X_17)),multiply(A,divide(B,divide(A,X_17)))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(X_17,A) = multiply(A,divide(A,divide(A,X_17))),
inference(subst,[],[refute_0_48:[bind(B,$fot(A))]]) ).
cnf(refute_0_50,plain,
multiply(X_17,divide(X_39,X_39)) = multiply(A,divide(divide(X_39,X_39),divide(A,X_17))),
inference(subst,[],[refute_0_48:[bind(B,$fot(divide(X_39,X_39)))]]) ).
cnf(refute_0_51,plain,
( multiply(X_17,B) != multiply(A,divide(B,divide(A,X_17)))
| multiply(A,divide(B,divide(A,X_17))) = multiply(X_17,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_17,B))),bind(Y,$fot(multiply(A,divide(B,divide(A,X_17)))))]]) ).
cnf(refute_0_52,plain,
multiply(A,divide(B,divide(A,X_17))) = multiply(X_17,B),
inference(resolve,[$cnf( $equal(multiply(X_17,B),multiply(A,divide(B,divide(A,X_17)))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(A,divide(B,divide(A,C))) = multiply(C,B),
inference(subst,[],[refute_0_52:[bind(X_17,$fot(C))]]) ).
cnf(refute_0_54,plain,
divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(A,divide(B,divide(A,C))),C),
introduced(tautology,[refl,[$fot(divide(multiply(A,divide(B,divide(A,C))),C))]]) ).
cnf(refute_0_55,plain,
( multiply(A,divide(B,divide(A,C))) != multiply(C,B)
| divide(multiply(A,divide(B,divide(A,C))),C) != divide(multiply(A,divide(B,divide(A,C))),C)
| divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(C,B),C) ),
introduced(tautology,[equality,[$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_56,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( $equal(divide(multiply(A,divide(B,divide(A,C))),C),divide(multiply(A,divide(B,divide(A,C))),C)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
divide(multiply(A,divide(B,divide(A,C))),C) = divide(multiply(C,B),C),
inference(resolve,[$cnf( $equal(multiply(A,divide(B,divide(A,C))),multiply(C,B)) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
( divide(multiply(A,divide(B,divide(A,C))),C) != B
| divide(multiply(A,divide(B,divide(A,C))),C) != divide(multiply(C,B),C)
| divide(multiply(C,B),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),B) ),[0],$fot(divide(multiply(C,B),C))]]) ).
cnf(refute_0_59,plain,
( divide(multiply(A,divide(B,divide(A,C))),C) != B
| divide(multiply(C,B),C) = B ),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),divide(multiply(C,B),C)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
divide(multiply(C,B),C) = B,
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(B,divide(A,C))),C),B) )],[refute_0_13,refute_0_59]) ).
cnf(refute_0_61,plain,
divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),
inference(subst,[],[refute_0_13:[bind(B,$fot(multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))))]]) ).
cnf(refute_0_62,plain,
divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C)) = X_3,
inference(subst,[],[refute_0_13:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(C,$fot(divide(A,C)))]]) ).
cnf(refute_0_63,plain,
( divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C) != multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))
| divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C)) != X_3
| divide(multiply(A,X_3),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))) ),
introduced(tautology,[equality,[$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_64,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( $equal(divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C)),X_3) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
divide(multiply(A,X_3),C) = multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),
inference(resolve,[$cnf( $equal(divide(multiply(A,divide(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),divide(A,C))),C),multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))) = multiply(divide(A,C),X_3),
inference(subst,[],[refute_0_52:[bind(A,$fot(X_2)),bind(B,$fot(X_3)),bind(X_17,$fot(divide(A,C)))]]) ).
cnf(refute_0_67,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_68,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( $equal(multiply(X_2,divide(X_3,divide(X_2,divide(A,C)))),multiply(divide(A,C),X_3)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
divide(multiply(A,X_3),C) = multiply(divide(A,C),X_3),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(X_2,divide(X_3,divide(X_2,divide(A,C))))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(multiply(C,B),C) = multiply(divide(C,C),B),
inference(subst,[],[refute_0_69:[bind(A,$fot(C)),bind(X_3,$fot(B))]]) ).
cnf(refute_0_71,plain,
( divide(multiply(C,B),C) != B
| divide(multiply(C,B),C) != multiply(divide(C,C),B)
| multiply(divide(C,C),B) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(C,B),C),B) ),[0],$fot(multiply(divide(C,C),B))]]) ).
cnf(refute_0_72,plain,
( divide(multiply(C,B),C) != B
| multiply(divide(C,C),B) = B ),
inference(resolve,[$cnf( $equal(divide(multiply(C,B),C),multiply(divide(C,C),B)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(divide(C,C),B) = B,
inference(resolve,[$cnf( $equal(divide(multiply(C,B),C),B) )],[refute_0_60,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(divide(inverse(B),inverse(B)),X_24) = X_24,
inference(subst,[],[refute_0_73:[bind(B,$fot(X_24)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_75,plain,
multiply(inverse(B),B) = divide(inverse(B),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(inverse(B)))]]) ).
cnf(refute_0_76,plain,
( multiply(inverse(B),B) != divide(inverse(B),inverse(B))
| divide(inverse(B),inverse(B)) = multiply(inverse(B),B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(inverse(B),B))),bind(Y,$fot(divide(inverse(B),inverse(B))))]]) ).
cnf(refute_0_77,plain,
divide(inverse(B),inverse(B)) = multiply(inverse(B),B),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),divide(inverse(B),inverse(B))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( multiply(divide(inverse(B),inverse(B)),X_24) != X_24
| divide(inverse(B),inverse(B)) != multiply(inverse(B),B)
| multiply(multiply(inverse(B),B),X_24) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(B),inverse(B)),X_24),X_24) ),[0,0],$fot(multiply(inverse(B),B))]]) ).
cnf(refute_0_79,plain,
( multiply(divide(inverse(B),inverse(B)),X_24) != X_24
| multiply(multiply(inverse(B),B),X_24) = X_24 ),
inference(resolve,[$cnf( $equal(divide(inverse(B),inverse(B)),multiply(inverse(B),B)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(multiply(inverse(B),B),X_24) = X_24,
inference(resolve,[$cnf( $equal(multiply(divide(inverse(B),inverse(B)),X_24),X_24) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
multiply(inverse(B),divide(X_16,inverse(B))) = X_16,
inference(subst,[],[refute_0_43:[bind(X_13,$fot(X_16)),bind(X_15,$fot(inverse(B)))]]) ).
cnf(refute_0_82,plain,
multiply(X_16,B) = divide(X_16,inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_83,plain,
( multiply(X_16,B) != divide(X_16,inverse(B))
| divide(X_16,inverse(B)) = multiply(X_16,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_16,B))),bind(Y,$fot(divide(X_16,inverse(B))))]]) ).
cnf(refute_0_84,plain,
divide(X_16,inverse(B)) = multiply(X_16,B),
inference(resolve,[$cnf( $equal(multiply(X_16,B),divide(X_16,inverse(B))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( multiply(inverse(B),divide(X_16,inverse(B))) != X_16
| divide(X_16,inverse(B)) != multiply(X_16,B)
| multiply(inverse(B),multiply(X_16,B)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),divide(X_16,inverse(B))),X_16) ),[0,1],$fot(multiply(X_16,B))]]) ).
cnf(refute_0_86,plain,
( multiply(inverse(B),divide(X_16,inverse(B))) != X_16
| multiply(inverse(B),multiply(X_16,B)) = X_16 ),
inference(resolve,[$cnf( $equal(divide(X_16,inverse(B)),multiply(X_16,B)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(inverse(B),multiply(X_16,B)) = X_16,
inference(resolve,[$cnf( $equal(multiply(inverse(B),divide(X_16,inverse(B))),X_16) )],[refute_0_81,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)) = inverse(divide(B,X_21)),
inference(subst,[],[refute_0_87:[bind(X_16,$fot(inverse(divide(B,X_21))))]]) ).
cnf(refute_0_89,plain,
multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))) = X_19,
inference(subst,[],[refute_0_87:[bind(B,$fot(divide(X_13,X_19))),bind(X_16,$fot(X_19))]]) ).
cnf(refute_0_90,plain,
multiply(X_19,divide(X_13,X_19)) = X_13,
inference(subst,[],[refute_0_43:[bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_91,plain,
( multiply(X_19,divide(X_13,X_19)) != X_13
| multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))) != X_19
| multiply(inverse(divide(X_13,X_19)),X_13) = X_19 ),
introduced(tautology,[equality,[$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_92,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( $equal(multiply(X_19,divide(X_13,X_19)),X_13) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(inverse(divide(X_13,X_19)),X_13) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_13,X_19)),multiply(X_19,divide(X_13,X_19))),X_19) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
multiply(inverse(divide(B,X_21)),B) = X_21,
inference(subst,[],[refute_0_93:[bind(X_13,$fot(B)),bind(X_19,$fot(X_21))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)) != inverse(divide(B,X_21))
| multiply(inverse(divide(B,X_21)),B) != X_21
| multiply(inverse(B),X_21) = inverse(divide(B,X_21)) ),
introduced(tautology,[equality,[$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_96,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( $equal(multiply(inverse(divide(B,X_21)),B),X_21) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(inverse(B),X_21) = inverse(divide(B,X_21)),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(inverse(divide(B,X_21)),B)),inverse(divide(B,X_21))) )],[refute_0_88,refute_0_96]) ).
cnf(refute_0_98,plain,
multiply(inverse(divide(B,B)),X_24) = inverse(divide(divide(B,B),X_24)),
inference(subst,[],[refute_0_97:[bind(B,$fot(divide(B,B))),bind(X_21,$fot(X_24))]]) ).
cnf(refute_0_99,plain,
multiply(inverse(B),B) = inverse(divide(B,B)),
inference(subst,[],[refute_0_97:[bind(X_21,$fot(B))]]) ).
cnf(refute_0_100,plain,
multiply(multiply(inverse(B),B),X_24) = multiply(multiply(inverse(B),B),X_24),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(B),B),X_24))]]) ).
cnf(refute_0_101,plain,
( multiply(multiply(inverse(B),B),X_24) != multiply(multiply(inverse(B),B),X_24)
| multiply(inverse(B),B) != inverse(divide(B,B))
| multiply(multiply(inverse(B),B),X_24) = multiply(inverse(divide(B,B)),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),B),X_24),multiply(multiply(inverse(B),B),X_24)) ),[1,0],$fot(inverse(divide(B,B)))]]) ).
cnf(refute_0_102,plain,
( multiply(inverse(B),B) != inverse(divide(B,B))
| multiply(multiply(inverse(B),B),X_24) = multiply(inverse(divide(B,B)),X_24) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_24),multiply(multiply(inverse(B),B),X_24)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(multiply(inverse(B),B),X_24) = multiply(inverse(divide(B,B)),X_24),
inference(resolve,[$cnf( $equal(multiply(inverse(B),B),inverse(divide(B,B))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_105,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_3,refute_0_104]) ).
cnf(refute_0_106,plain,
( multiply(multiply(inverse(B),B),X_24) != multiply(inverse(divide(B,B)),X_24)
| multiply(inverse(divide(B,B)),X_24) != inverse(divide(divide(B,B),X_24))
| multiply(multiply(inverse(B),B),X_24) = inverse(divide(divide(B,B),X_24)) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(multiply(multiply(inverse(B),B),X_24))),bind(Y,$fot(multiply(inverse(divide(B,B)),X_24))),bind(Z,$fot(inverse(divide(divide(B,B),X_24))))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(divide(B,B)),X_24) != inverse(divide(divide(B,B),X_24))
| multiply(multiply(inverse(B),B),X_24) = inverse(divide(divide(B,B),X_24)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_24),multiply(inverse(divide(B,B)),X_24)) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(multiply(inverse(B),B),X_24) = inverse(divide(divide(B,B),X_24)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,B)),X_24),inverse(divide(divide(B,B),X_24))) )],[refute_0_98,refute_0_107]) ).
cnf(refute_0_109,plain,
( multiply(multiply(inverse(B),B),X_24) != X_24
| multiply(multiply(inverse(B),B),X_24) != inverse(divide(divide(B,B),X_24))
| inverse(divide(divide(B,B),X_24)) = X_24 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),B),X_24),X_24) ),[0],$fot(inverse(divide(divide(B,B),X_24)))]]) ).
cnf(refute_0_110,plain,
( multiply(multiply(inverse(B),B),X_24) != X_24
| inverse(divide(divide(B,B),X_24)) = X_24 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_24),inverse(divide(divide(B,B),X_24))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(divide(divide(B,B),X_24)) = X_24,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),B),X_24),X_24) )],[refute_0_80,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))) = multiply(X_32,divide(B,B)),
inference(subst,[],[refute_0_111:[bind(X_24,$fot(multiply(X_32,divide(B,B))))]]) ).
cnf(refute_0_113,plain,
multiply(inverse(B),multiply(X_16,B)) = inverse(divide(B,multiply(X_16,B))),
inference(subst,[],[refute_0_97:[bind(X_21,$fot(multiply(X_16,B)))]]) ).
cnf(refute_0_114,plain,
( multiply(inverse(B),multiply(X_16,B)) != X_16
| multiply(inverse(B),multiply(X_16,B)) != inverse(divide(B,multiply(X_16,B)))
| inverse(divide(B,multiply(X_16,B))) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),multiply(X_16,B)),X_16) ),[0],$fot(inverse(divide(B,multiply(X_16,B))))]]) ).
cnf(refute_0_115,plain,
( multiply(inverse(B),multiply(X_16,B)) != X_16
| inverse(divide(B,multiply(X_16,B))) = X_16 ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_16,B)),inverse(divide(B,multiply(X_16,B)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
inverse(divide(B,multiply(X_16,B))) = X_16,
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(X_16,B)),X_16) )],[refute_0_87,refute_0_115]) ).
cnf(refute_0_117,plain,
inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))) = X_32,
inference(subst,[],[refute_0_116:[bind(B,$fot(divide(B,B))),bind(X_16,$fot(X_32))]]) ).
cnf(refute_0_118,plain,
( inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))) != X_32
| inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))) != multiply(X_32,divide(B,B))
| X_32 = multiply(X_32,divide(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))),multiply(X_32,divide(B,B))) ),[0],$fot(X_32)]]) ).
cnf(refute_0_119,plain,
( inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))) != multiply(X_32,divide(B,B))
| X_32 = multiply(X_32,divide(B,B)) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))),X_32) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
X_32 = multiply(X_32,divide(B,B)),
inference(resolve,[$cnf( $equal(inverse(divide(divide(B,B),multiply(X_32,divide(B,B)))),multiply(X_32,divide(B,B))) )],[refute_0_112,refute_0_119]) ).
cnf(refute_0_121,plain,
X_17 = multiply(X_17,divide(X_39,X_39)),
inference(subst,[],[refute_0_120:[bind(B,$fot(X_39)),bind(X_32,$fot(X_17))]]) ).
cnf(refute_0_122,plain,
( X_17 != multiply(X_17,divide(X_39,X_39))
| multiply(X_17,divide(X_39,X_39)) = X_17 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_17)),bind(Y,$fot(multiply(X_17,divide(X_39,X_39))))]]) ).
cnf(refute_0_123,plain,
multiply(X_17,divide(X_39,X_39)) = X_17,
inference(resolve,[$cnf( $equal(X_17,multiply(X_17,divide(X_39,X_39))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( multiply(X_17,divide(X_39,X_39)) != X_17
| multiply(X_17,divide(X_39,X_39)) != multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))
| X_17 = multiply(A,divide(divide(X_39,X_39),divide(A,X_17))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,divide(X_39,X_39)),multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))) ),[0],$fot(X_17)]]) ).
cnf(refute_0_125,plain,
( multiply(X_17,divide(X_39,X_39)) != multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))
| X_17 = multiply(A,divide(divide(X_39,X_39),divide(A,X_17))) ),
inference(resolve,[$cnf( $equal(multiply(X_17,divide(X_39,X_39)),X_17) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
X_17 = multiply(A,divide(divide(X_39,X_39),divide(A,X_17))),
inference(resolve,[$cnf( $equal(multiply(X_17,divide(X_39,X_39)),multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))) )],[refute_0_50,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(A,divide(divide(X_26,X_26),X_27)) = divide(A,inverse(divide(divide(X_26,X_26),X_27))),
inference(subst,[],[multiply:[bind(B,$fot(divide(divide(X_26,X_26),X_27)))]]) ).
cnf(refute_0_128,plain,
inverse(divide(divide(X_26,X_26),X_27)) = X_27,
inference(subst,[],[refute_0_111:[bind(B,$fot(X_26)),bind(X_24,$fot(X_27))]]) ).
cnf(refute_0_129,plain,
( multiply(A,divide(divide(X_26,X_26),X_27)) != divide(A,inverse(divide(divide(X_26,X_26),X_27)))
| inverse(divide(divide(X_26,X_26),X_27)) != X_27
| multiply(A,divide(divide(X_26,X_26),X_27)) = divide(A,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(divide(X_26,X_26),X_27)),divide(A,inverse(divide(divide(X_26,X_26),X_27)))) ),[1,1],$fot(X_27)]]) ).
cnf(refute_0_130,plain,
( multiply(A,divide(divide(X_26,X_26),X_27)) != divide(A,inverse(divide(divide(X_26,X_26),X_27)))
| multiply(A,divide(divide(X_26,X_26),X_27)) = divide(A,X_27) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_26,X_26),X_27)),X_27) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(A,divide(divide(X_26,X_26),X_27)) = divide(A,X_27),
inference(resolve,[$cnf( $equal(multiply(A,divide(divide(X_26,X_26),X_27)),divide(A,inverse(divide(divide(X_26,X_26),X_27)))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(A,divide(divide(X_39,X_39),divide(A,X_17))) = divide(A,divide(A,X_17)),
inference(subst,[],[refute_0_131:[bind(X_26,$fot(X_39)),bind(X_27,$fot(divide(A,X_17)))]]) ).
cnf(refute_0_133,plain,
( X_17 != multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))
| multiply(A,divide(divide(X_39,X_39),divide(A,X_17))) != divide(A,divide(A,X_17))
| X_17 = divide(A,divide(A,X_17)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_17,divide(A,divide(A,X_17))) ),[0],$fot(multiply(A,divide(divide(X_39,X_39),divide(A,X_17))))]]) ).
cnf(refute_0_134,plain,
( X_17 != multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))
| X_17 = divide(A,divide(A,X_17)) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(divide(X_39,X_39),divide(A,X_17))),divide(A,divide(A,X_17))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
X_17 = divide(A,divide(A,X_17)),
inference(resolve,[$cnf( $equal(X_17,multiply(A,divide(divide(X_39,X_39),divide(A,X_17)))) )],[refute_0_126,refute_0_134]) ).
cnf(refute_0_136,plain,
( X_17 != divide(A,divide(A,X_17))
| divide(A,divide(A,X_17)) = X_17 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_17)),bind(Y,$fot(divide(A,divide(A,X_17))))]]) ).
cnf(refute_0_137,plain,
divide(A,divide(A,X_17)) = X_17,
inference(resolve,[$cnf( $equal(X_17,divide(A,divide(A,X_17))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( multiply(X_17,A) != multiply(A,divide(A,divide(A,X_17)))
| divide(A,divide(A,X_17)) != X_17
| multiply(X_17,A) = multiply(A,X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,A),multiply(A,divide(A,divide(A,X_17)))) ),[1,1],$fot(X_17)]]) ).
cnf(refute_0_139,plain,
( multiply(X_17,A) != multiply(A,divide(A,divide(A,X_17)))
| multiply(X_17,A) = multiply(A,X_17) ),
inference(resolve,[$cnf( $equal(divide(A,divide(A,X_17)),X_17) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(X_17,A) = multiply(A,X_17),
inference(resolve,[$cnf( $equal(multiply(X_17,A),multiply(A,divide(A,divide(A,X_17)))) )],[refute_0_49,refute_0_139]) ).
cnf(refute_0_141,plain,
( multiply(X_17,A) != multiply(A,X_17)
| multiply(A,X_17) = multiply(X_17,A) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_17,A))),bind(Y,$fot(multiply(A,X_17)))]]) ).
cnf(refute_0_142,plain,
multiply(A,X_17) = multiply(X_17,A),
inference(resolve,[$cnf( $equal(multiply(X_17,A),multiply(A,X_17)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_142:[bind(A,$fot(multiply(a3,b3))),bind(X_17,$fot(c3))]]) ).
cnf(refute_0_144,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_145,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_145,prove_these_axioms_3]) ).
cnf(refute_0_147,plain,
multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),
inference(subst,[],[refute_0_33:[bind(B,$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_148,plain,
divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5)) = B,
inference(subst,[],[refute_0_13:[bind(C,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_149,plain,
( multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5) != multiply(A,divide(B,divide(A,multiply(X_6,X_5))))
| divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5)) != B
| multiply(multiply(X_6,B),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) ),
introduced(tautology,[equality,[$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_150,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( $equal(divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5)),B) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(multiply(X_6,B),X_5) = multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,divide(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(X_6,X_5))),X_5),multiply(A,divide(B,divide(A,multiply(X_6,X_5))))) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) = multiply(multiply(X_6,X_5),B),
inference(subst,[],[refute_0_52:[bind(X_17,$fot(multiply(X_6,X_5)))]]) ).
cnf(refute_0_153,plain,
( multiply(A,divide(B,divide(A,multiply(X_6,X_5)))) != multiply(multiply(X_6,X_5),B)
| multiply(multiply(X_6,B),X_5) != multiply(A,divide(B,divide(A,multiply(X_6,X_5))))
| multiply(multiply(X_6,B),X_5) = multiply(multiply(X_6,X_5),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,B),X_5),multiply(A,divide(B,divide(A,multiply(X_6,X_5))))) ),[1],$fot(multiply(multiply(X_6,X_5),B))]]) ).
cnf(refute_0_154,plain,
( multiply(multiply(X_6,B),X_5) != multiply(A,divide(B,divide(A,multiply(X_6,X_5))))
| multiply(multiply(X_6,B),X_5) = multiply(multiply(X_6,X_5),B) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(B,divide(A,multiply(X_6,X_5)))),multiply(multiply(X_6,X_5),B)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(multiply(X_6,B),X_5) = multiply(multiply(X_6,X_5),B),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,B),X_5),multiply(A,divide(B,divide(A,multiply(X_6,X_5))))) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
multiply(multiply(X_50,X_52),B) = divide(multiply(X_50,X_52),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(multiply(X_50,X_52)))]]) ).
cnf(refute_0_157,plain,
multiply(divide(A,X_42),B) = multiply(A,divide(B,divide(A,divide(A,X_42)))),
inference(subst,[],[refute_0_48:[bind(X_17,$fot(divide(A,X_42)))]]) ).
cnf(refute_0_158,plain,
X_42 = divide(A,divide(A,X_42)),
inference(subst,[],[refute_0_135:[bind(X_17,$fot(X_42))]]) ).
cnf(refute_0_159,plain,
( X_42 != divide(A,divide(A,X_42))
| divide(A,divide(A,X_42)) = X_42 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_42)),bind(Y,$fot(divide(A,divide(A,X_42))))]]) ).
cnf(refute_0_160,plain,
divide(A,divide(A,X_42)) = X_42,
inference(resolve,[$cnf( $equal(X_42,divide(A,divide(A,X_42))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( multiply(divide(A,X_42),B) != multiply(A,divide(B,divide(A,divide(A,X_42))))
| divide(A,divide(A,X_42)) != X_42
| multiply(divide(A,X_42),B) = multiply(A,divide(B,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(A,X_42),B),multiply(A,divide(B,divide(A,divide(A,X_42))))) ),[1,1,1],$fot(X_42)]]) ).
cnf(refute_0_162,plain,
( multiply(divide(A,X_42),B) != multiply(A,divide(B,divide(A,divide(A,X_42))))
| multiply(divide(A,X_42),B) = multiply(A,divide(B,X_42)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(A,X_42)),X_42) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(divide(A,X_42),B) = multiply(A,divide(B,X_42)),
inference(resolve,[$cnf( $equal(multiply(divide(A,X_42),B),multiply(A,divide(B,divide(A,divide(A,X_42))))) )],[refute_0_157,refute_0_162]) ).
cnf(refute_0_164,plain,
multiply(divide(A,C),X_3) = multiply(A,divide(X_3,C)),
inference(subst,[],[refute_0_163:[bind(B,$fot(X_3)),bind(X_42,$fot(C))]]) ).
cnf(refute_0_165,plain,
( multiply(divide(A,C),X_3) != multiply(A,divide(X_3,C))
| divide(multiply(A,X_3),C) != multiply(divide(A,C),X_3)
| divide(multiply(A,X_3),C) = multiply(A,divide(X_3,C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(divide(A,C),X_3)) ),[1],$fot(multiply(A,divide(X_3,C)))]]) ).
cnf(refute_0_166,plain,
( divide(multiply(A,X_3),C) != multiply(divide(A,C),X_3)
| divide(multiply(A,X_3),C) = multiply(A,divide(X_3,C)) ),
inference(resolve,[$cnf( $equal(multiply(divide(A,C),X_3),multiply(A,divide(X_3,C))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
divide(multiply(A,X_3),C) = multiply(A,divide(X_3,C)),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(divide(A,C),X_3)) )],[refute_0_69,refute_0_166]) ).
cnf(refute_0_168,plain,
divide(multiply(X_50,X_52),inverse(B)) = multiply(X_50,divide(X_52,inverse(B))),
inference(subst,[],[refute_0_167:[bind(A,$fot(X_50)),bind(C,$fot(inverse(B))),bind(X_3,$fot(X_52))]]) ).
cnf(refute_0_169,plain,
( multiply(multiply(X_50,X_52),B) != divide(multiply(X_50,X_52),inverse(B))
| divide(multiply(X_50,X_52),inverse(B)) != multiply(X_50,divide(X_52,inverse(B)))
| multiply(multiply(X_50,X_52),B) = multiply(X_50,divide(X_52,inverse(B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_50,X_52),B),multiply(X_50,divide(X_52,inverse(B)))) ),[0],$fot(divide(multiply(X_50,X_52),inverse(B)))]]) ).
cnf(refute_0_170,plain,
( multiply(multiply(X_50,X_52),B) != divide(multiply(X_50,X_52),inverse(B))
| multiply(multiply(X_50,X_52),B) = multiply(X_50,divide(X_52,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_50,X_52),inverse(B)),multiply(X_50,divide(X_52,inverse(B)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(multiply(X_50,X_52),B) = multiply(X_50,divide(X_52,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_50,X_52),B),divide(multiply(X_50,X_52),inverse(B))) )],[refute_0_156,refute_0_170]) ).
cnf(refute_0_172,plain,
divide(X_52,inverse(B)) = multiply(X_52,B),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_52))]]) ).
cnf(refute_0_173,plain,
multiply(X_50,divide(X_52,inverse(B))) = multiply(X_50,divide(X_52,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_50,divide(X_52,inverse(B))))]]) ).
cnf(refute_0_174,plain,
( multiply(X_50,divide(X_52,inverse(B))) != multiply(X_50,divide(X_52,inverse(B)))
| divide(X_52,inverse(B)) != multiply(X_52,B)
| multiply(X_50,divide(X_52,inverse(B))) = multiply(X_50,multiply(X_52,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,divide(X_52,inverse(B))),multiply(X_50,divide(X_52,inverse(B)))) ),[1,1],$fot(multiply(X_52,B))]]) ).
cnf(refute_0_175,plain,
( divide(X_52,inverse(B)) != multiply(X_52,B)
| multiply(X_50,divide(X_52,inverse(B))) = multiply(X_50,multiply(X_52,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_52,inverse(B))),multiply(X_50,divide(X_52,inverse(B)))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(X_50,divide(X_52,inverse(B))) = multiply(X_50,multiply(X_52,B)),
inference(resolve,[$cnf( $equal(divide(X_52,inverse(B)),multiply(X_52,B)) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
( multiply(X_50,divide(X_52,inverse(B))) != multiply(X_50,multiply(X_52,B))
| multiply(multiply(X_50,X_52),B) != multiply(X_50,divide(X_52,inverse(B)))
| multiply(multiply(X_50,X_52),B) = multiply(X_50,multiply(X_52,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_50,X_52),B),multiply(X_50,divide(X_52,inverse(B)))) ),[1],$fot(multiply(X_50,multiply(X_52,B)))]]) ).
cnf(refute_0_178,plain,
( multiply(multiply(X_50,X_52),B) != multiply(X_50,divide(X_52,inverse(B)))
| multiply(multiply(X_50,X_52),B) = multiply(X_50,multiply(X_52,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_50,divide(X_52,inverse(B))),multiply(X_50,multiply(X_52,B))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(multiply(X_50,X_52),B) = multiply(X_50,multiply(X_52,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_50,X_52),B),multiply(X_50,divide(X_52,inverse(B)))) )],[refute_0_171,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(multiply(X_6,B),X_5) = multiply(X_6,multiply(B,X_5)),
inference(subst,[],[refute_0_179:[bind(B,$fot(X_5)),bind(X_50,$fot(X_6)),bind(X_52,$fot(B))]]) ).
cnf(refute_0_181,plain,
( multiply(multiply(X_6,B),X_5) != multiply(X_6,multiply(B,X_5))
| multiply(multiply(X_6,B),X_5) != multiply(multiply(X_6,X_5),B)
| multiply(X_6,multiply(B,X_5)) = multiply(multiply(X_6,X_5),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_6,B),X_5),multiply(multiply(X_6,X_5),B)) ),[0],$fot(multiply(X_6,multiply(B,X_5)))]]) ).
cnf(refute_0_182,plain,
( multiply(multiply(X_6,B),X_5) != multiply(multiply(X_6,X_5),B)
| multiply(X_6,multiply(B,X_5)) = multiply(multiply(X_6,X_5),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,B),X_5),multiply(X_6,multiply(B,X_5))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(multiply(X_6,X_5),B) = multiply(X_6,multiply(X_5,B)),
inference(subst,[],[refute_0_179:[bind(X_50,$fot(X_6)),bind(X_52,$fot(X_5))]]) ).
cnf(refute_0_184,plain,
( multiply(X_6,multiply(B,X_5)) != multiply(multiply(X_6,X_5),B)
| multiply(multiply(X_6,X_5),B) != multiply(X_6,multiply(X_5,B))
| multiply(X_6,multiply(B,X_5)) = multiply(X_6,multiply(X_5,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_6,multiply(B,X_5)),multiply(X_6,multiply(X_5,B))) ),[0],$fot(multiply(multiply(X_6,X_5),B))]]) ).
cnf(refute_0_185,plain,
( multiply(X_6,multiply(B,X_5)) != multiply(multiply(X_6,X_5),B)
| multiply(X_6,multiply(B,X_5)) = multiply(X_6,multiply(X_5,B)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,X_5),B),multiply(X_6,multiply(X_5,B))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( multiply(multiply(X_6,B),X_5) != multiply(multiply(X_6,X_5),B)
| multiply(X_6,multiply(B,X_5)) = multiply(X_6,multiply(X_5,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_6,multiply(B,X_5)),multiply(multiply(X_6,X_5),B)) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(X_6,multiply(B,X_5)) = multiply(X_6,multiply(X_5,B)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_6,B),X_5),multiply(multiply(X_6,X_5),B)) )],[refute_0_155,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(X_6,multiply(B,X_5)) != multiply(X_6,multiply(X_5,B))
| multiply(X_6,multiply(X_5,B)) = multiply(X_6,multiply(B,X_5)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_6,multiply(B,X_5)))),bind(Y,$fot(multiply(X_6,multiply(X_5,B))))]]) ).
cnf(refute_0_189,plain,
multiply(X_6,multiply(X_5,B)) = multiply(X_6,multiply(B,X_5)),
inference(resolve,[$cnf( $equal(multiply(X_6,multiply(B,X_5)),multiply(X_6,multiply(X_5,B))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_189:[bind(B,$fot(b3)),bind(X_5,$fot(c3)),bind(X_6,$fot(a3))]]) ).
cnf(refute_0_191,plain,
multiply(X_15,divide(multiply(X_50,X_52),X_15)) = multiply(X_50,X_52),
inference(subst,[],[refute_0_43:[bind(X_13,$fot(multiply(X_50,X_52)))]]) ).
cnf(refute_0_192,plain,
divide(multiply(X_50,X_52),X_15) = multiply(X_50,divide(X_52,X_15)),
inference(subst,[],[refute_0_167:[bind(A,$fot(X_50)),bind(C,$fot(X_15)),bind(X_3,$fot(X_52))]]) ).
cnf(refute_0_193,plain,
( multiply(X_15,divide(multiply(X_50,X_52),X_15)) != multiply(X_50,X_52)
| divide(multiply(X_50,X_52),X_15) != multiply(X_50,divide(X_52,X_15))
| multiply(X_15,multiply(X_50,divide(X_52,X_15))) = multiply(X_50,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,divide(multiply(X_50,X_52),X_15)),multiply(X_50,X_52)) ),[0,1],$fot(multiply(X_50,divide(X_52,X_15)))]]) ).
cnf(refute_0_194,plain,
( multiply(X_15,divide(multiply(X_50,X_52),X_15)) != multiply(X_50,X_52)
| multiply(X_15,multiply(X_50,divide(X_52,X_15))) = multiply(X_50,X_52) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_50,X_52),X_15),multiply(X_50,divide(X_52,X_15))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(X_15,multiply(X_50,divide(X_52,X_15))) = multiply(X_50,X_52),
inference(resolve,[$cnf( $equal(multiply(X_15,divide(multiply(X_50,X_52),X_15)),multiply(X_50,X_52)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(A,divide(X_47,X_46)) = divide(A,inverse(divide(X_47,X_46))),
inference(subst,[],[multiply:[bind(B,$fot(divide(X_47,X_46)))]]) ).
cnf(refute_0_197,plain,
multiply(inverse(divide(B,X_21)),B) = divide(inverse(divide(B,X_21)),inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(inverse(divide(B,X_21))))]]) ).
cnf(refute_0_198,plain,
( multiply(inverse(divide(B,X_21)),B) != X_21
| multiply(inverse(divide(B,X_21)),B) != divide(inverse(divide(B,X_21)),inverse(B))
| X_21 = divide(inverse(divide(B,X_21)),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),divide(inverse(divide(B,X_21)),inverse(B))) ),[0],$fot(X_21)]]) ).
cnf(refute_0_199,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( $equal(multiply(inverse(divide(B,X_21)),B),X_21) )],[refute_0_94,refute_0_198]) ).
cnf(refute_0_200,plain,
X_21 = divide(inverse(divide(B,X_21)),inverse(B)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),divide(inverse(divide(B,X_21)),inverse(B))) )],[refute_0_197,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(inverse(divide(B,X_21)),B) = inverse(divide(divide(B,X_21),B)),
inference(subst,[],[refute_0_97:[bind(B,$fot(divide(B,X_21))),bind(X_21,$fot(B))]]) ).
cnf(refute_0_202,plain,
divide(inverse(divide(B,X_21)),inverse(B)) = multiply(inverse(divide(B,X_21)),B),
inference(subst,[],[refute_0_5:[bind(A,$fot(inverse(divide(B,X_21))))]]) ).
cnf(refute_0_203,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_105:[bind(X,$fot(divide(inverse(divide(B,X_21)),inverse(B)))),bind(Y,$fot(multiply(inverse(divide(B,X_21)),B))),bind(Z,$fot(inverse(divide(divide(B,X_21),B))))]]) ).
cnf(refute_0_204,plain,
( multiply(inverse(divide(B,X_21)),B) != inverse(divide(divide(B,X_21),B))
| divide(inverse(divide(B,X_21)),inverse(B)) = inverse(divide(divide(B,X_21),B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(B,X_21)),inverse(B)),multiply(inverse(divide(B,X_21)),B)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
divide(inverse(divide(B,X_21)),inverse(B)) = inverse(divide(divide(B,X_21),B)),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(B,X_21)),B),inverse(divide(divide(B,X_21),B))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( X_21 != divide(inverse(divide(B,X_21)),inverse(B))
| divide(inverse(divide(B,X_21)),inverse(B)) != inverse(divide(divide(B,X_21),B))
| X_21 = inverse(divide(divide(B,X_21),B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_21,inverse(divide(divide(B,X_21),B))) ),[0],$fot(divide(inverse(divide(B,X_21)),inverse(B)))]]) ).
cnf(refute_0_207,plain,
( X_21 != divide(inverse(divide(B,X_21)),inverse(B))
| X_21 = inverse(divide(divide(B,X_21),B)) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(B,X_21)),inverse(B)),inverse(divide(divide(B,X_21),B))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
X_21 = inverse(divide(divide(B,X_21),B)),
inference(resolve,[$cnf( $equal(X_21,divide(inverse(divide(B,X_21)),inverse(B))) )],[refute_0_200,refute_0_207]) ).
cnf(refute_0_209,plain,
divide(B,X_42) = inverse(divide(divide(B,divide(B,X_42)),B)),
inference(subst,[],[refute_0_208:[bind(X_21,$fot(divide(B,X_42)))]]) ).
cnf(refute_0_210,plain,
X_42 = divide(B,divide(B,X_42)),
inference(subst,[],[refute_0_135:[bind(A,$fot(B)),bind(X_17,$fot(X_42))]]) ).
cnf(refute_0_211,plain,
( X_42 != divide(B,divide(B,X_42))
| divide(B,divide(B,X_42)) = X_42 ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_42)),bind(Y,$fot(divide(B,divide(B,X_42))))]]) ).
cnf(refute_0_212,plain,
divide(B,divide(B,X_42)) = X_42,
inference(resolve,[$cnf( $equal(X_42,divide(B,divide(B,X_42))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( divide(B,X_42) != inverse(divide(divide(B,divide(B,X_42)),B))
| divide(B,divide(B,X_42)) != X_42
| divide(B,X_42) = inverse(divide(X_42,B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,X_42),inverse(divide(divide(B,divide(B,X_42)),B))) ),[1,0,0],$fot(X_42)]]) ).
cnf(refute_0_214,plain,
( divide(B,X_42) != inverse(divide(divide(B,divide(B,X_42)),B))
| divide(B,X_42) = inverse(divide(X_42,B)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(B,X_42)),X_42) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
divide(B,X_42) = inverse(divide(X_42,B)),
inference(resolve,[$cnf( $equal(divide(B,X_42),inverse(divide(divide(B,divide(B,X_42)),B))) )],[refute_0_209,refute_0_214]) ).
cnf(refute_0_216,plain,
divide(X_46,X_47) = inverse(divide(X_47,X_46)),
inference(subst,[],[refute_0_215:[bind(B,$fot(X_46)),bind(X_42,$fot(X_47))]]) ).
cnf(refute_0_217,plain,
( divide(X_46,X_47) != inverse(divide(X_47,X_46))
| inverse(divide(X_47,X_46)) = divide(X_46,X_47) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(divide(X_46,X_47))),bind(Y,$fot(inverse(divide(X_47,X_46))))]]) ).
cnf(refute_0_218,plain,
inverse(divide(X_47,X_46)) = divide(X_46,X_47),
inference(resolve,[$cnf( $equal(divide(X_46,X_47),inverse(divide(X_47,X_46))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( multiply(A,divide(X_47,X_46)) != divide(A,inverse(divide(X_47,X_46)))
| inverse(divide(X_47,X_46)) != divide(X_46,X_47)
| multiply(A,divide(X_47,X_46)) = divide(A,divide(X_46,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(X_47,X_46)),divide(A,inverse(divide(X_47,X_46)))) ),[1,1],$fot(divide(X_46,X_47))]]) ).
cnf(refute_0_220,plain,
( multiply(A,divide(X_47,X_46)) != divide(A,inverse(divide(X_47,X_46)))
| multiply(A,divide(X_47,X_46)) = divide(A,divide(X_46,X_47)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_47,X_46)),divide(X_46,X_47)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(A,divide(X_47,X_46)) = divide(A,divide(X_46,X_47)),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_47,X_46)),divide(A,inverse(divide(X_47,X_46)))) )],[refute_0_196,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(A,divide(X_47,X_46)) != divide(A,divide(X_46,X_47))
| divide(A,divide(X_46,X_47)) = multiply(A,divide(X_47,X_46)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(A,divide(X_47,X_46)))),bind(Y,$fot(divide(A,divide(X_46,X_47))))]]) ).
cnf(refute_0_223,plain,
divide(A,divide(X_46,X_47)) = multiply(A,divide(X_47,X_46)),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_47,X_46)),divide(A,divide(X_46,X_47))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
divide(B,divide(A,X_17)) = multiply(B,divide(X_17,A)),
inference(subst,[],[refute_0_223:[bind(A,$fot(B)),bind(X_46,$fot(A)),bind(X_47,$fot(X_17))]]) ).
cnf(refute_0_225,plain,
multiply(A,divide(B,divide(A,X_17))) = multiply(A,divide(B,divide(A,X_17))),
introduced(tautology,[refl,[$fot(multiply(A,divide(B,divide(A,X_17))))]]) ).
cnf(refute_0_226,plain,
( multiply(A,divide(B,divide(A,X_17))) != multiply(A,divide(B,divide(A,X_17)))
| divide(B,divide(A,X_17)) != multiply(B,divide(X_17,A))
| multiply(A,divide(B,divide(A,X_17))) = multiply(A,multiply(B,divide(X_17,A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,divide(B,divide(A,X_17))),multiply(A,divide(B,divide(A,X_17)))) ),[1,1],$fot(multiply(B,divide(X_17,A)))]]) ).
cnf(refute_0_227,plain,
( divide(B,divide(A,X_17)) != multiply(B,divide(X_17,A))
| multiply(A,divide(B,divide(A,X_17))) = multiply(A,multiply(B,divide(X_17,A))) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(B,divide(A,X_17))),multiply(A,divide(B,divide(A,X_17)))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(A,divide(B,divide(A,X_17))) = multiply(A,multiply(B,divide(X_17,A))),
inference(resolve,[$cnf( $equal(divide(B,divide(A,X_17)),multiply(B,divide(X_17,A))) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( multiply(A,divide(B,divide(A,X_17))) != multiply(A,multiply(B,divide(X_17,A)))
| multiply(X_17,B) != multiply(A,divide(B,divide(A,X_17)))
| multiply(X_17,B) = multiply(A,multiply(B,divide(X_17,A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_17,B),multiply(A,divide(B,divide(A,X_17)))) ),[1],$fot(multiply(A,multiply(B,divide(X_17,A))))]]) ).
cnf(refute_0_230,plain,
( multiply(X_17,B) != multiply(A,divide(B,divide(A,X_17)))
| multiply(X_17,B) = multiply(A,multiply(B,divide(X_17,A))) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(B,divide(A,X_17))),multiply(A,multiply(B,divide(X_17,A)))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
multiply(X_17,B) = multiply(A,multiply(B,divide(X_17,A))),
inference(resolve,[$cnf( $equal(multiply(X_17,B),multiply(A,divide(B,divide(A,X_17)))) )],[refute_0_48,refute_0_230]) ).
cnf(refute_0_232,plain,
( multiply(X_17,B) != multiply(A,multiply(B,divide(X_17,A)))
| multiply(A,multiply(B,divide(X_17,A))) = multiply(X_17,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_17,B))),bind(Y,$fot(multiply(A,multiply(B,divide(X_17,A)))))]]) ).
cnf(refute_0_233,plain,
multiply(A,multiply(B,divide(X_17,A))) = multiply(X_17,B),
inference(resolve,[$cnf( $equal(multiply(X_17,B),multiply(A,multiply(B,divide(X_17,A)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(X_15,multiply(X_50,divide(X_52,X_15))) = multiply(X_52,X_50),
inference(subst,[],[refute_0_233:[bind(A,$fot(X_15)),bind(B,$fot(X_50)),bind(X_17,$fot(X_52))]]) ).
cnf(refute_0_235,plain,
( multiply(X_15,multiply(X_50,divide(X_52,X_15))) != multiply(X_50,X_52)
| multiply(X_15,multiply(X_50,divide(X_52,X_15))) != multiply(X_52,X_50)
| multiply(X_52,X_50) = multiply(X_50,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,multiply(X_50,divide(X_52,X_15))),multiply(X_50,X_52)) ),[0],$fot(multiply(X_52,X_50))]]) ).
cnf(refute_0_236,plain,
( multiply(X_15,multiply(X_50,divide(X_52,X_15))) != multiply(X_50,X_52)
| multiply(X_52,X_50) = multiply(X_50,X_52) ),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_50,divide(X_52,X_15))),multiply(X_52,X_50)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(X_52,X_50) = multiply(X_50,X_52),
inference(resolve,[$cnf( $equal(multiply(X_15,multiply(X_50,divide(X_52,X_15))),multiply(X_50,X_52)) )],[refute_0_195,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(A,divide(X_3,C)) = multiply(divide(X_3,C),A),
inference(subst,[],[refute_0_237:[bind(X_50,$fot(divide(X_3,C))),bind(X_52,$fot(A))]]) ).
cnf(refute_0_239,plain,
( multiply(A,divide(X_3,C)) != multiply(divide(X_3,C),A)
| divide(multiply(A,X_3),C) != multiply(A,divide(X_3,C))
| divide(multiply(A,X_3),C) = multiply(divide(X_3,C),A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(A,divide(X_3,C))) ),[1],$fot(multiply(divide(X_3,C),A))]]) ).
cnf(refute_0_240,plain,
( divide(multiply(A,X_3),C) != multiply(A,divide(X_3,C))
| divide(multiply(A,X_3),C) = multiply(divide(X_3,C),A) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_3,C)),multiply(divide(X_3,C),A)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
divide(multiply(A,X_3),C) = multiply(divide(X_3,C),A),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(A,divide(X_3,C))) )],[refute_0_167,refute_0_240]) ).
cnf(refute_0_242,plain,
( divide(multiply(A,X_3),C) != multiply(A,divide(X_3,C))
| divide(multiply(A,X_3),C) != multiply(divide(X_3,C),A)
| multiply(A,divide(X_3,C)) = multiply(divide(X_3,C),A) ),
introduced(tautology,[equality,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(divide(X_3,C),A)) ),[0],$fot(multiply(A,divide(X_3,C)))]]) ).
cnf(refute_0_243,plain,
( divide(multiply(A,X_3),C) != multiply(divide(X_3,C),A)
| multiply(A,divide(X_3,C)) = multiply(divide(X_3,C),A) ),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(A,divide(X_3,C))) )],[refute_0_167,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(divide(X_3,C),A) = multiply(X_3,divide(A,C)),
inference(subst,[],[refute_0_163:[bind(A,$fot(X_3)),bind(B,$fot(A)),bind(X_42,$fot(C))]]) ).
cnf(refute_0_245,plain,
( multiply(A,divide(X_3,C)) != multiply(divide(X_3,C),A)
| multiply(divide(X_3,C),A) != multiply(X_3,divide(A,C))
| multiply(A,divide(X_3,C)) = multiply(X_3,divide(A,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,divide(X_3,C)),multiply(X_3,divide(A,C))) ),[0],$fot(multiply(divide(X_3,C),A))]]) ).
cnf(refute_0_246,plain,
( multiply(A,divide(X_3,C)) != multiply(divide(X_3,C),A)
| multiply(A,divide(X_3,C)) = multiply(X_3,divide(A,C)) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_3,C),A),multiply(X_3,divide(A,C))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
( divide(multiply(A,X_3),C) != multiply(divide(X_3,C),A)
| multiply(A,divide(X_3,C)) = multiply(X_3,divide(A,C)) ),
inference(resolve,[$cnf( $equal(multiply(A,divide(X_3,C)),multiply(divide(X_3,C),A)) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(A,divide(X_3,C)) = multiply(X_3,divide(A,C)),
inference(resolve,[$cnf( $equal(divide(multiply(A,X_3),C),multiply(divide(X_3,C),A)) )],[refute_0_241,refute_0_247]) ).
cnf(refute_0_249,plain,
multiply(X_72,divide(X_74,inverse(B))) = multiply(X_74,divide(X_72,inverse(B))),
inference(subst,[],[refute_0_248:[bind(A,$fot(X_72)),bind(C,$fot(inverse(B))),bind(X_3,$fot(X_74))]]) ).
cnf(refute_0_250,plain,
multiply(X_74,B) = divide(X_74,inverse(B)),
inference(subst,[],[multiply:[bind(A,$fot(X_74))]]) ).
cnf(refute_0_251,plain,
( multiply(X_74,B) != divide(X_74,inverse(B))
| divide(X_74,inverse(B)) = multiply(X_74,B) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_74,B))),bind(Y,$fot(divide(X_74,inverse(B))))]]) ).
cnf(refute_0_252,plain,
divide(X_74,inverse(B)) = multiply(X_74,B),
inference(resolve,[$cnf( $equal(multiply(X_74,B),divide(X_74,inverse(B))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( multiply(X_72,divide(X_74,inverse(B))) != multiply(X_74,divide(X_72,inverse(B)))
| divide(X_74,inverse(B)) != multiply(X_74,B)
| multiply(X_72,multiply(X_74,B)) = multiply(X_74,divide(X_72,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_72,divide(X_74,inverse(B))),multiply(X_74,divide(X_72,inverse(B)))) ),[0,1],$fot(multiply(X_74,B))]]) ).
cnf(refute_0_254,plain,
( multiply(X_72,divide(X_74,inverse(B))) != multiply(X_74,divide(X_72,inverse(B)))
| multiply(X_72,multiply(X_74,B)) = multiply(X_74,divide(X_72,inverse(B))) ),
inference(resolve,[$cnf( $equal(divide(X_74,inverse(B)),multiply(X_74,B)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(X_72,multiply(X_74,B)) = multiply(X_74,divide(X_72,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(X_72,divide(X_74,inverse(B))),multiply(X_74,divide(X_72,inverse(B)))) )],[refute_0_249,refute_0_254]) ).
cnf(refute_0_256,plain,
divide(X_72,inverse(B)) = multiply(X_72,B),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_72))]]) ).
cnf(refute_0_257,plain,
multiply(X_74,divide(X_72,inverse(B))) = multiply(X_74,divide(X_72,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(X_74,divide(X_72,inverse(B))))]]) ).
cnf(refute_0_258,plain,
( multiply(X_74,divide(X_72,inverse(B))) != multiply(X_74,divide(X_72,inverse(B)))
| divide(X_72,inverse(B)) != multiply(X_72,B)
| multiply(X_74,divide(X_72,inverse(B))) = multiply(X_74,multiply(X_72,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_74,divide(X_72,inverse(B))),multiply(X_74,divide(X_72,inverse(B)))) ),[1,1],$fot(multiply(X_72,B))]]) ).
cnf(refute_0_259,plain,
( divide(X_72,inverse(B)) != multiply(X_72,B)
| multiply(X_74,divide(X_72,inverse(B))) = multiply(X_74,multiply(X_72,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_74,divide(X_72,inverse(B))),multiply(X_74,divide(X_72,inverse(B)))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(X_74,divide(X_72,inverse(B))) = multiply(X_74,multiply(X_72,B)),
inference(resolve,[$cnf( $equal(divide(X_72,inverse(B)),multiply(X_72,B)) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(X_72,multiply(X_74,B)) != multiply(X_74,divide(X_72,inverse(B)))
| multiply(X_74,divide(X_72,inverse(B))) != multiply(X_74,multiply(X_72,B))
| multiply(X_72,multiply(X_74,B)) = multiply(X_74,multiply(X_72,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_72,multiply(X_74,B)),multiply(X_74,multiply(X_72,B))) ),[0],$fot(multiply(X_74,divide(X_72,inverse(B))))]]) ).
cnf(refute_0_262,plain,
( multiply(X_72,multiply(X_74,B)) != multiply(X_74,divide(X_72,inverse(B)))
| multiply(X_72,multiply(X_74,B)) = multiply(X_74,multiply(X_72,B)) ),
inference(resolve,[$cnf( $equal(multiply(X_74,divide(X_72,inverse(B))),multiply(X_74,multiply(X_72,B))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(X_72,multiply(X_74,B)) = multiply(X_74,multiply(X_72,B)),
inference(resolve,[$cnf( $equal(multiply(X_72,multiply(X_74,B)),multiply(X_74,divide(X_72,inverse(B)))) )],[refute_0_255,refute_0_262]) ).
cnf(refute_0_264,plain,
( multiply(X_72,multiply(X_74,B)) != multiply(X_74,multiply(X_72,B))
| multiply(X_74,multiply(X_72,B)) = multiply(X_72,multiply(X_74,B)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(multiply(X_72,multiply(X_74,B)))),bind(Y,$fot(multiply(X_74,multiply(X_72,B))))]]) ).
cnf(refute_0_265,plain,
multiply(X_74,multiply(X_72,B)) = multiply(X_72,multiply(X_74,B)),
inference(resolve,[$cnf( $equal(multiply(X_72,multiply(X_74,B)),multiply(X_74,multiply(X_72,B))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_265:[bind(B,$fot(b3)),bind(X_72,$fot(a3)),bind(X_74,$fot(c3))]]) ).
cnf(refute_0_267,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_105:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(a3,multiply(c3,b3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_268,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_190,refute_0_268]) ).
cnf(refute_0_270,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_271,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_271,refute_0_146]) ).
cnf(refute_0_273,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_274,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_273,refute_0_272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP555-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 07:23:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54
% 0.18/0.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.18/0.58
%------------------------------------------------------------------------------