TSTP Solution File: GRP459-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:40:47 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 98
% Syntax : Number of clauses : 307 ( 157 unt; 0 nHn; 148 RR)
% Number of literals : 526 ( 525 equ; 221 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 596 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(identity,B)) ).
cnf(inverse,axiom,
inverse(A) = divide(identity,A) ).
cnf(identity,axiom,
identity = divide(A,A) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(identity,A)
| divide(identity,A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(identity,A)))]]) ).
cnf(refute_0_4,plain,
divide(identity,A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(identity,A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(identity,B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_6,plain,
divide(A,divide(identity,B)) = divide(A,divide(identity,B)),
introduced(tautology,[refl,[$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_7,plain,
( divide(A,divide(identity,B)) != divide(A,divide(identity,B))
| divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_8,plain,
( divide(identity,B) != inverse(B)
| divide(A,divide(identity,B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,divide(identity,B))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(A,divide(identity,B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(identity,B),inverse(B)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| divide(A,divide(identity,B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(identity,B)))]]) ).
cnf(refute_0_11,plain,
( multiply(A,B) != divide(A,divide(identity,B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(identity,B)),divide(A,inverse(B))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(identity,B))) )],[multiply,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))))]]) ).
cnf(refute_0_14,plain,
divide(identity,divide(A,divide(B,divide(inverse(A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(A,divide(B,divide(inverse(A),C)))))]]) ).
cnf(refute_0_15,plain,
divide(divide(identity,A),C) = divide(divide(identity,A),C),
introduced(tautology,[refl,[$fot(divide(divide(identity,A),C))]]) ).
cnf(refute_0_16,plain,
( divide(divide(identity,A),C) != divide(divide(identity,A),C)
| divide(identity,A) != inverse(A)
| divide(divide(identity,A),C) = divide(inverse(A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(identity,A),C),divide(divide(identity,A),C)) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_17,plain,
( divide(identity,A) != inverse(A)
| divide(divide(identity,A),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(divide(identity,A),C),divide(divide(identity,A),C)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
divide(divide(identity,A),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(identity,A),inverse(A)) )],[refute_0_4,refute_0_17]) ).
cnf(refute_0_19,plain,
divide(B,divide(divide(identity,A),C)) = divide(B,divide(divide(identity,A),C)),
introduced(tautology,[refl,[$fot(divide(B,divide(divide(identity,A),C)))]]) ).
cnf(refute_0_20,plain,
( divide(B,divide(divide(identity,A),C)) != divide(B,divide(divide(identity,A),C))
| divide(divide(identity,A),C) != divide(inverse(A),C)
| divide(B,divide(divide(identity,A),C)) = divide(B,divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(divide(identity,A),C)),divide(B,divide(divide(identity,A),C))) ),[1,1],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_21,plain,
( divide(divide(identity,A),C) != divide(inverse(A),C)
| divide(B,divide(divide(identity,A),C)) = divide(B,divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(identity,A),C)),divide(B,divide(divide(identity,A),C))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(B,divide(divide(identity,A),C)) = divide(B,divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(identity,A),C),divide(inverse(A),C)) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
divide(A,divide(B,divide(divide(identity,A),C))) = divide(A,divide(B,divide(divide(identity,A),C))),
introduced(tautology,[refl,[$fot(divide(A,divide(B,divide(divide(identity,A),C))))]]) ).
cnf(refute_0_24,plain,
( divide(A,divide(B,divide(divide(identity,A),C))) != divide(A,divide(B,divide(divide(identity,A),C)))
| divide(B,divide(divide(identity,A),C)) != divide(B,divide(inverse(A),C))
| divide(A,divide(B,divide(divide(identity,A),C))) = divide(A,divide(B,divide(inverse(A),C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(divide(identity,A),C))),divide(A,divide(B,divide(divide(identity,A),C)))) ),[1,1],$fot(divide(B,divide(inverse(A),C)))]]) ).
cnf(refute_0_25,plain,
( divide(B,divide(divide(identity,A),C)) != divide(B,divide(inverse(A),C))
| divide(A,divide(B,divide(divide(identity,A),C))) = divide(A,divide(B,divide(inverse(A),C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(identity,A),C))),divide(A,divide(B,divide(divide(identity,A),C)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
divide(A,divide(B,divide(divide(identity,A),C))) = divide(A,divide(B,divide(inverse(A),C))),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(identity,A),C)),divide(B,divide(inverse(A),C))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),
introduced(tautology,[refl,[$fot(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))))]]) ).
cnf(refute_0_28,plain,
( divide(A,divide(B,divide(divide(identity,A),C))) != divide(A,divide(B,divide(inverse(A),C)))
| divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) != divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))
| divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(inverse(A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))) ),[1,1],$fot(divide(A,divide(B,divide(inverse(A),C))))]]) ).
cnf(refute_0_29,plain,
( divide(A,divide(B,divide(divide(identity,A),C))) != divide(A,divide(B,divide(inverse(A),C)))
| divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(identity,A),C))),divide(A,divide(B,divide(inverse(A),C)))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( identity != divide(A,A)
| divide(A,A) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(A,A)))]]) ).
cnf(refute_0_32,plain,
divide(A,A) = identity,
inference(resolve,[$cnf( $equal(identity,divide(A,A)) )],[identity,refute_0_31]) ).
cnf(refute_0_33,plain,
divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),
introduced(tautology,[refl,[$fot(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))))]]) ).
cnf(refute_0_34,plain,
( divide(A,A) != identity
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) != divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_35,plain,
( divide(A,A) != identity
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C))))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),
inference(resolve,[$cnf( $equal(divide(A,A),identity) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_38,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_37]) ).
cnf(refute_0_39,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) != divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))
| divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) != divide(identity,divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(inverse(A),C)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))))),bind(Y,$fot(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))))),bind(Z,$fot(divide(identity,divide(A,divide(B,divide(inverse(A),C))))))]]) ).
cnf(refute_0_40,plain,
( divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))) != divide(identity,divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),divide(identity,divide(A,divide(B,divide(divide(identity,A),C))))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = divide(identity,divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(identity,divide(A,divide(B,divide(divide(identity,A),C)))),divide(identity,divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_30,refute_0_40]) ).
cnf(refute_0_42,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) != divide(identity,divide(A,divide(B,divide(inverse(A),C))))
| divide(identity,divide(A,divide(B,divide(inverse(A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))))),bind(Y,$fot(divide(identity,divide(A,divide(B,divide(inverse(A),C)))))),bind(Z,$fot(inverse(divide(A,divide(B,divide(inverse(A),C))))))]]) ).
cnf(refute_0_43,plain,
( divide(identity,divide(A,divide(B,divide(inverse(A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),divide(identity,divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(identity,divide(A,divide(B,divide(inverse(A),C)))),inverse(divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_14,refute_0_43]) ).
cnf(refute_0_45,plain,
divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C))]]) ).
cnf(refute_0_46,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) != divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C)
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C),divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C)) ),[1,0],$fot(inverse(divide(A,divide(B,divide(inverse(A),C)))))]]) ).
cnf(refute_0_47,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C),divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),inverse(divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) != B
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) != divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C)
| divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C),B) ),[0],$fot(divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C))]]) ).
cnf(refute_0_50,plain,
( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) != B
| divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C),divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C),B) )],[single_axiom,refute_0_50]) ).
cnf(refute_0_52,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)) = X_8,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(B)))]]) ).
cnf(refute_0_53,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B))
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = X_8 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),X_8) ),[0],$fot(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)))]]) ).
cnf(refute_0_54,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B)),X_8) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(B))) )],[refute_0_13,refute_0_54]) ).
cnf(refute_0_56,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_57,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_12,refute_0_56]) ).
cnf(refute_0_58,plain,
divide(inverse(X_7),inverse(B)) = multiply(inverse(X_7),B),
inference(subst,[],[refute_0_57:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_59,plain,
divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,divide(inverse(X_7),inverse(B))),
introduced(tautology,[refl,[$fot(divide(X_8,divide(inverse(X_7),inverse(B))))]]) ).
cnf(refute_0_60,plain,
( divide(X_8,divide(inverse(X_7),inverse(B))) != divide(X_8,divide(inverse(X_7),inverse(B)))
| divide(inverse(X_7),inverse(B)) != multiply(inverse(X_7),B)
| divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,multiply(inverse(X_7),B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(B))),divide(X_8,divide(inverse(X_7),inverse(B)))) ),[1,1],$fot(multiply(inverse(X_7),B))]]) ).
cnf(refute_0_61,plain,
( divide(inverse(X_7),inverse(B)) != multiply(inverse(X_7),B)
| divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,multiply(inverse(X_7),B)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(B))),divide(X_8,divide(inverse(X_7),inverse(B)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
divide(X_8,divide(inverse(X_7),inverse(B))) = divide(X_8,multiply(inverse(X_7),B)),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(B)),multiply(inverse(X_7),B)) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))]]) ).
cnf(refute_0_64,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) != divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))
| divide(X_8,divide(inverse(X_7),inverse(B))) != divide(X_8,multiply(inverse(X_7),B))
| divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),B))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) ),[1,1],$fot(divide(X_8,multiply(inverse(X_7),B)))]]) ).
cnf(refute_0_65,plain,
( divide(X_8,divide(inverse(X_7),inverse(B))) != divide(X_8,multiply(inverse(X_7),B))
| divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),B))) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) = divide(X_7,divide(X_8,multiply(inverse(X_7),B))),
inference(resolve,[$cnf( $equal(divide(X_8,divide(inverse(X_7),inverse(B))),divide(X_8,multiply(inverse(X_7),B))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))))]]) ).
cnf(refute_0_68,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) != divide(X_7,divide(X_8,multiply(inverse(X_7),B)))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) != inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))) ),[1,0],$fot(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))]]) ).
cnf(refute_0_69,plain,
( divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))) != divide(X_7,divide(X_8,multiply(inverse(X_7),B)))
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) = inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B)))),divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B))]]) ).
cnf(refute_0_72,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B)
| inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) != inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B)) ),[1,0],$fot(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))))]]) ).
cnf(refute_0_73,plain,
( inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))) != inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B))))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != X_8
| multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),X_8) ),[0],$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B))]]) ).
cnf(refute_0_76,plain,
( multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(B))))),B),X_8) )],[refute_0_55,refute_0_76]) ).
cnf(refute_0_78,plain,
divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) = X_8,
inference(subst,[],[refute_0_51:[bind(A,$fot(identity)),bind(B,$fot(X_8)),bind(C,$fot(X_9))]]) ).
cnf(refute_0_79,plain,
identity = divide(identity,identity),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_80,plain,
inverse(identity) = divide(identity,identity),
inference(subst,[],[inverse:[bind(A,$fot(identity))]]) ).
cnf(refute_0_81,plain,
( inverse(identity) != divide(identity,identity)
| divide(identity,identity) = inverse(identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(identity))),bind(Y,$fot(divide(identity,identity)))]]) ).
cnf(refute_0_82,plain,
divide(identity,identity) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),divide(identity,identity)) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( divide(identity,identity) != inverse(identity)
| identity != divide(identity,identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,divide(identity,identity)) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_84,plain,
( identity != divide(identity,identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(divide(identity,identity),inverse(identity)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,divide(identity,identity)) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_87,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) != X_8
| inverse(identity) != identity
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9),X_8) ),[0,0,0,1,1,0],$fot(identity)]]) ).
cnf(refute_0_89,plain,
( divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9) != X_8
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(inverse(identity),X_9)))),X_9),X_8) )],[refute_0_78,refute_0_89]) ).
cnf(refute_0_91,plain,
divide(X_8,inverse(X_9)) = multiply(X_8,X_9),
inference(subst,[],[refute_0_57:[bind(A,$fot(X_8)),bind(B,$fot(X_9))]]) ).
cnf(refute_0_92,plain,
divide(identity,X_9) = inverse(X_9),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_93,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,divide(identity,X_9)),
introduced(tautology,[refl,[$fot(divide(X_8,divide(identity,X_9)))]]) ).
cnf(refute_0_94,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,divide(identity,X_9))
| divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,divide(identity,X_9))) ),[1,1],$fot(inverse(X_9))]]) ).
cnf(refute_0_95,plain,
( divide(identity,X_9) != inverse(X_9)
| divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,divide(identity,X_9))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
divide(X_8,divide(identity,X_9)) = divide(X_8,inverse(X_9)),
inference(resolve,[$cnf( $equal(divide(identity,X_9),inverse(X_9)) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
( divide(X_8,divide(identity,X_9)) != divide(X_8,inverse(X_9))
| divide(X_8,inverse(X_9)) != multiply(X_8,X_9)
| divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(divide(X_8,divide(identity,X_9)))),bind(Y,$fot(divide(X_8,inverse(X_9)))),bind(Z,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_98,plain,
( divide(X_8,inverse(X_9)) != multiply(X_8,X_9)
| divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9) ),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),divide(X_8,inverse(X_9))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(X_8,divide(identity,X_9)) = multiply(X_8,X_9),
inference(resolve,[$cnf( $equal(divide(X_8,inverse(X_9)),multiply(X_8,X_9)) )],[refute_0_91,refute_0_98]) ).
cnf(refute_0_100,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
introduced(tautology,[refl,[$fot(inverse(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_101,plain,
( divide(X_8,divide(identity,X_9)) != multiply(X_8,X_9)
| inverse(divide(X_8,divide(identity,X_9))) != inverse(divide(X_8,divide(identity,X_9)))
| inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) ),[1,0],$fot(multiply(X_8,X_9))]]) ).
cnf(refute_0_102,plain,
( divide(X_8,divide(identity,X_9)) != multiply(X_8,X_9)
| inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
inverse(divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(divide(X_8,divide(identity,X_9)),multiply(X_8,X_9)) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(divide(X_8,divide(identity,X_9))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(X_8,divide(identity,X_9))))]]) ).
cnf(refute_0_105,plain,
( divide(identity,divide(X_8,divide(identity,X_9))) != inverse(divide(X_8,divide(identity,X_9)))
| inverse(divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(divide(identity,divide(X_8,divide(identity,X_9))))),bind(Y,$fot(inverse(divide(X_8,divide(identity,X_9))))),bind(Z,$fot(inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_106,plain,
( inverse(divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(divide(X_8,divide(identity,X_9)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
divide(identity,divide(X_8,divide(identity,X_9))) = inverse(multiply(X_8,X_9)),
inference(resolve,[$cnf( $equal(inverse(divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(divide(identity,divide(X_8,divide(identity,X_9)))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,divide(X_8,divide(identity,X_9)))))]]) ).
cnf(refute_0_109,plain,
( divide(identity,divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) != inverse(divide(identity,divide(X_8,divide(identity,X_9))))
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(divide(identity,divide(X_8,divide(identity,X_9))))) ),[1,0],$fot(inverse(multiply(X_8,X_9)))]]) ).
cnf(refute_0_110,plain,
( divide(identity,divide(X_8,divide(identity,X_9))) != inverse(multiply(X_8,X_9))
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(divide(identity,divide(X_8,divide(identity,X_9))))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
inverse(divide(identity,divide(X_8,divide(identity,X_9)))) = inverse(inverse(multiply(X_8,X_9))),
inference(resolve,[$cnf( $equal(divide(identity,divide(X_8,divide(identity,X_9))),inverse(multiply(X_8,X_9))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9))]]) ).
cnf(refute_0_113,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)
| inverse(divide(identity,divide(X_8,divide(identity,X_9)))) != inverse(inverse(multiply(X_8,X_9)))
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)) ),[1,0],$fot(inverse(inverse(multiply(X_8,X_9))))]]) ).
cnf(refute_0_114,plain,
( inverse(divide(identity,divide(X_8,divide(identity,X_9)))) != inverse(inverse(multiply(X_8,X_9)))
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9),
inference(resolve,[$cnf( $equal(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),inverse(inverse(multiply(X_8,X_9)))) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != X_8
| divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != divide(inverse(inverse(multiply(X_8,X_9))),X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),X_8) ),[0],$fot(divide(inverse(inverse(multiply(X_8,X_9))),X_9))]]) ).
cnf(refute_0_117,plain,
( divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9) != X_8
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(identity,divide(X_8,divide(identity,X_9)))),X_9),X_8) )],[refute_0_90,refute_0_117]) ).
cnf(refute_0_119,plain,
divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9))),X_9) = inverse(divide(X_9,multiply(X_15,identity))),
inference(subst,[],[refute_0_118:[bind(X_8,$fot(inverse(divide(X_9,multiply(X_15,identity)))))]]) ).
cnf(refute_0_120,plain,
divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) = X_8,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_7)),bind(B,$fot(X_8)),bind(C,$fot(inverse(X_7)))]]) ).
cnf(refute_0_121,plain,
identity = divide(inverse(X_7),inverse(X_7)),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_7)))]]) ).
cnf(refute_0_122,plain,
( identity != divide(inverse(X_7),inverse(X_7))
| divide(inverse(X_7),inverse(X_7)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(inverse(X_7),inverse(X_7))))]]) ).
cnf(refute_0_123,plain,
divide(inverse(X_7),inverse(X_7)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(inverse(X_7),inverse(X_7))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( divide(inverse(X_7),inverse(X_7)) != identity
| divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)),X_8) ),[0,0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_125,plain,
( divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(X_7),inverse(X_7)),identity) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,divide(inverse(X_7),inverse(X_7))))),inverse(X_7)),X_8) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(X_2,identity) = divide(X_2,inverse(identity)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_2)),bind(B,$fot(identity))]]) ).
cnf(refute_0_128,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| inverse(identity) != identity
| multiply(X_2,identity) = divide(X_2,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_129,plain,
( multiply(X_2,identity) != divide(X_2,inverse(identity))
| multiply(X_2,identity) = divide(X_2,identity) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_87,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(X_2,identity) = divide(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,inverse(identity))) )],[refute_0_127,refute_0_129]) ).
cnf(refute_0_131,plain,
( multiply(X_2,identity) != divide(X_2,identity)
| divide(X_2,identity) = multiply(X_2,identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,identity))),bind(Y,$fot(divide(X_2,identity)))]]) ).
cnf(refute_0_132,plain,
divide(X_2,identity) = multiply(X_2,identity),
inference(resolve,[$cnf( $equal(multiply(X_2,identity),divide(X_2,identity)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
divide(X_8,identity) = multiply(X_8,identity),
inference(subst,[],[refute_0_132:[bind(X_2,$fot(X_8))]]) ).
cnf(refute_0_134,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,divide(X_8,identity)),
introduced(tautology,[refl,[$fot(divide(X_7,divide(X_8,identity)))]]) ).
cnf(refute_0_135,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,divide(X_8,identity))
| divide(X_8,identity) != multiply(X_8,identity)
| divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,divide(X_8,identity))) ),[1,1],$fot(multiply(X_8,identity))]]) ).
cnf(refute_0_136,plain,
( divide(X_8,identity) != multiply(X_8,identity)
| divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)) ),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,divide(X_8,identity))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
divide(X_7,divide(X_8,identity)) = divide(X_7,multiply(X_8,identity)),
inference(resolve,[$cnf( $equal(divide(X_8,identity),multiply(X_8,identity)) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,divide(X_8,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_7,divide(X_8,identity))))]]) ).
cnf(refute_0_139,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,multiply(X_8,identity))
| inverse(divide(X_7,divide(X_8,identity))) != inverse(divide(X_7,divide(X_8,identity)))
| inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,divide(X_8,identity)))) ),[1,0],$fot(divide(X_7,multiply(X_8,identity)))]]) ).
cnf(refute_0_140,plain,
( divide(X_7,divide(X_8,identity)) != divide(X_7,multiply(X_8,identity))
| inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,divide(X_8,identity)))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
inverse(divide(X_7,divide(X_8,identity))) = inverse(divide(X_7,multiply(X_8,identity))),
inference(resolve,[$cnf( $equal(divide(X_7,divide(X_8,identity)),divide(X_7,multiply(X_8,identity))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))]]) ).
cnf(refute_0_143,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)
| inverse(divide(X_7,divide(X_8,identity))) != inverse(divide(X_7,multiply(X_8,identity)))
| multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) ),[1,0],$fot(inverse(divide(X_7,multiply(X_8,identity))))]]) ).
cnf(refute_0_144,plain,
( inverse(divide(X_7,divide(X_8,identity))) != inverse(divide(X_7,multiply(X_8,identity)))
| multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,identity))),inverse(divide(X_7,multiply(X_8,identity)))) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),
inference(subst,[],[refute_0_57:[bind(A,$fot(inverse(divide(X_7,divide(X_8,identity))))),bind(B,$fot(X_7))]]) ).
cnf(refute_0_147,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)))),bind(Y,$fot(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7))),bind(Z,$fot(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)))]]) ).
cnf(refute_0_148,plain,
( multiply(inverse(divide(X_7,divide(X_8,identity))),X_7) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,divide(X_8,identity))),X_7)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) = multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,identity))),X_7),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != X_8
| divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),X_8) ),[0],$fot(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7))]]) ).
cnf(refute_0_151,plain,
( divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)) != X_8
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_7,divide(X_8,identity))),inverse(X_7)),X_8) )],[refute_0_126,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9) = X_15,
inference(subst,[],[refute_0_152:[bind(X_7,$fot(X_9)),bind(X_8,$fot(X_15))]]) ).
cnf(refute_0_154,plain,
( multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9) != X_15
| divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| divide(inverse(inverse(X_15)),X_9) = inverse(divide(X_9,multiply(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_15,identity)))) ),[0,0,0,0],$fot(X_15)]]) ).
cnf(refute_0_155,plain,
( divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9))),X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| divide(inverse(inverse(X_15)),X_9) = inverse(divide(X_9,multiply(X_15,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9),X_15) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
divide(inverse(inverse(X_15)),X_9) = inverse(divide(X_9,multiply(X_15,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(divide(X_9,multiply(X_15,identity))),X_9))),X_9),inverse(divide(X_9,multiply(X_15,identity)))) )],[refute_0_119,refute_0_155]) ).
cnf(refute_0_157,plain,
divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) = inverse(inverse(multiply(X_13,identity))),
inference(subst,[],[refute_0_118:[bind(X_8,$fot(inverse(inverse(multiply(X_13,identity))))),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_158,plain,
multiply(inverse(inverse(multiply(X_10,identity))),identity) = divide(inverse(inverse(multiply(X_10,identity))),identity),
inference(subst,[],[refute_0_130:[bind(X_2,$fot(inverse(inverse(multiply(X_10,identity)))))]]) ).
cnf(refute_0_159,plain,
divide(inverse(inverse(multiply(X_10,identity))),identity) = X_10,
inference(subst,[],[refute_0_118:[bind(X_8,$fot(X_10)),bind(X_9,$fot(identity))]]) ).
cnf(refute_0_160,plain,
( multiply(inverse(inverse(multiply(X_10,identity))),identity) != divide(inverse(inverse(multiply(X_10,identity))),identity)
| divide(inverse(inverse(multiply(X_10,identity))),identity) != X_10
| multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(multiply(X_10,identity))),identity),X_10) ),[0],$fot(divide(inverse(inverse(multiply(X_10,identity))),identity))]]) ).
cnf(refute_0_161,plain,
( multiply(inverse(inverse(multiply(X_10,identity))),identity) != divide(inverse(inverse(multiply(X_10,identity))),identity)
| multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_10,identity))),identity),X_10) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(inverse(inverse(multiply(X_10,identity))),identity) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_10,identity))),identity),divide(inverse(inverse(multiply(X_10,identity))),identity)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
multiply(inverse(inverse(multiply(X_13,identity))),identity) = X_13,
inference(subst,[],[refute_0_162:[bind(X_10,$fot(X_13))]]) ).
cnf(refute_0_164,plain,
( multiply(inverse(inverse(multiply(X_13,identity))),identity) != X_13
| divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) != inverse(inverse(multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity),inverse(inverse(multiply(X_13,identity)))) ),[0,0,0,0],$fot(X_13)]]) ).
cnf(refute_0_165,plain,
( divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity) != inverse(inverse(multiply(X_13,identity)))
| divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),identity),X_13) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
divide(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_13,identity))),identity))),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_157,refute_0_165]) ).
cnf(refute_0_167,plain,
divide(inverse(inverse(X_13)),identity) = multiply(inverse(inverse(X_13)),identity),
inference(subst,[],[refute_0_132:[bind(X_2,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_168,plain,
( divide(inverse(inverse(X_13)),identity) != multiply(inverse(inverse(X_13)),identity)
| divide(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(multiply(inverse(inverse(X_13)),identity))]]) ).
cnf(refute_0_169,plain,
( divide(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),multiply(inverse(inverse(X_13)),identity)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_15,identity))),identity))),X_7) = inverse(divide(identity,multiply(X_15,identity))),
inference(subst,[],[refute_0_152:[bind(X_8,$fot(inverse(divide(identity,multiply(X_15,identity)))))]]) ).
cnf(refute_0_172,plain,
multiply(inverse(divide(identity,multiply(X_15,identity))),identity) = X_15,
inference(subst,[],[refute_0_152:[bind(X_7,$fot(identity)),bind(X_8,$fot(X_15))]]) ).
cnf(refute_0_173,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_15,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_15,identity)))
| multiply(inverse(divide(identity,multiply(X_15,identity))),identity) != X_15
| multiply(inverse(divide(X_7,X_15)),X_7) = inverse(divide(identity,multiply(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_15,identity))),identity))),X_7),inverse(divide(identity,multiply(X_15,identity)))) ),[0,0,0,1],$fot(X_15)]]) ).
cnf(refute_0_174,plain,
( multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_15,identity))),identity))),X_7) != inverse(divide(identity,multiply(X_15,identity)))
| multiply(inverse(divide(X_7,X_15)),X_7) = inverse(divide(identity,multiply(X_15,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(identity,multiply(X_15,identity))),identity),X_15) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(inverse(divide(X_7,X_15)),X_7) = inverse(divide(identity,multiply(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(inverse(divide(identity,multiply(X_15,identity))),identity))),X_7),inverse(divide(identity,multiply(X_15,identity)))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
divide(identity,multiply(X_15,identity)) = inverse(multiply(X_15,identity)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(X_15,identity)))]]) ).
cnf(refute_0_177,plain,
inverse(divide(identity,multiply(X_15,identity))) = inverse(divide(identity,multiply(X_15,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(identity,multiply(X_15,identity))))]]) ).
cnf(refute_0_178,plain,
( divide(identity,multiply(X_15,identity)) != inverse(multiply(X_15,identity))
| inverse(divide(identity,multiply(X_15,identity))) != inverse(divide(identity,multiply(X_15,identity)))
| inverse(divide(identity,multiply(X_15,identity))) = inverse(inverse(multiply(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(identity,multiply(X_15,identity))),inverse(divide(identity,multiply(X_15,identity)))) ),[1,0],$fot(inverse(multiply(X_15,identity)))]]) ).
cnf(refute_0_179,plain,
( divide(identity,multiply(X_15,identity)) != inverse(multiply(X_15,identity))
| inverse(divide(identity,multiply(X_15,identity))) = inverse(inverse(multiply(X_15,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_15,identity))),inverse(divide(identity,multiply(X_15,identity)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
inverse(divide(identity,multiply(X_15,identity))) = inverse(inverse(multiply(X_15,identity))),
inference(resolve,[$cnf( $equal(divide(identity,multiply(X_15,identity)),inverse(multiply(X_15,identity))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( multiply(inverse(divide(X_7,X_15)),X_7) != inverse(divide(identity,multiply(X_15,identity)))
| inverse(divide(identity,multiply(X_15,identity))) != inverse(inverse(multiply(X_15,identity)))
| multiply(inverse(divide(X_7,X_15)),X_7) = inverse(inverse(multiply(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_15)),X_7),inverse(inverse(multiply(X_15,identity)))) ),[0],$fot(inverse(divide(identity,multiply(X_15,identity))))]]) ).
cnf(refute_0_182,plain,
( multiply(inverse(divide(X_7,X_15)),X_7) != inverse(divide(identity,multiply(X_15,identity)))
| multiply(inverse(divide(X_7,X_15)),X_7) = inverse(inverse(multiply(X_15,identity))) ),
inference(resolve,[$cnf( $equal(inverse(divide(identity,multiply(X_15,identity))),inverse(inverse(multiply(X_15,identity)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(inverse(divide(X_7,X_15)),X_7) = inverse(inverse(multiply(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_15)),X_7),inverse(divide(identity,multiply(X_15,identity)))) )],[refute_0_175,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(inverse(divide(multiply(X_15,identity),multiply(X_15,identity))),multiply(X_15,identity)) = X_15,
inference(subst,[],[refute_0_152:[bind(X_7,$fot(multiply(X_15,identity))),bind(X_8,$fot(X_15))]]) ).
cnf(refute_0_185,plain,
identity = divide(multiply(X_15,identity),multiply(X_15,identity)),
inference(subst,[],[identity:[bind(A,$fot(multiply(X_15,identity)))]]) ).
cnf(refute_0_186,plain,
( identity != divide(multiply(X_15,identity),multiply(X_15,identity))
| divide(multiply(X_15,identity),multiply(X_15,identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(divide(multiply(X_15,identity),multiply(X_15,identity))))]]) ).
cnf(refute_0_187,plain,
divide(multiply(X_15,identity),multiply(X_15,identity)) = identity,
inference(resolve,[$cnf( $equal(identity,divide(multiply(X_15,identity),multiply(X_15,identity))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(inverse(divide(multiply(X_15,identity),multiply(X_15,identity))),multiply(X_15,identity)) != X_15
| divide(multiply(X_15,identity),multiply(X_15,identity)) != identity
| multiply(inverse(identity),multiply(X_15,identity)) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(multiply(X_15,identity),multiply(X_15,identity))),multiply(X_15,identity)),X_15) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_189,plain,
( multiply(inverse(divide(multiply(X_15,identity),multiply(X_15,identity))),multiply(X_15,identity)) != X_15
| multiply(inverse(identity),multiply(X_15,identity)) = X_15 ),
inference(resolve,[$cnf( $equal(divide(multiply(X_15,identity),multiply(X_15,identity)),identity) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(inverse(identity),multiply(X_15,identity)) = X_15,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(multiply(X_15,identity),multiply(X_15,identity))),multiply(X_15,identity)),X_15) )],[refute_0_184,refute_0_189]) ).
cnf(refute_0_191,plain,
inverse(inverse(X_3)) = divide(identity,inverse(X_3)),
inference(subst,[],[inverse:[bind(A,$fot(inverse(X_3)))]]) ).
cnf(refute_0_192,plain,
multiply(identity,X_3) = divide(identity,inverse(X_3)),
inference(subst,[],[refute_0_12:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_193,plain,
( multiply(identity,X_3) != divide(identity,inverse(X_3))
| divide(identity,inverse(X_3)) = multiply(identity,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(identity,X_3))),bind(Y,$fot(divide(identity,inverse(X_3))))]]) ).
cnf(refute_0_194,plain,
divide(identity,inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),divide(identity,inverse(X_3))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( divide(identity,inverse(X_3)) != multiply(identity,X_3)
| inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) ),[1],$fot(multiply(identity,X_3))]]) ).
cnf(refute_0_196,plain,
( inverse(inverse(X_3)) != divide(identity,inverse(X_3))
| inverse(inverse(X_3)) = multiply(identity,X_3) ),
inference(resolve,[$cnf( $equal(divide(identity,inverse(X_3)),multiply(identity,X_3)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
inverse(inverse(X_3)) = multiply(identity,X_3),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),divide(identity,inverse(X_3))) )],[refute_0_191,refute_0_196]) ).
cnf(refute_0_198,plain,
( inverse(inverse(X_3)) != multiply(identity,X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_3)))),bind(Y,$fot(multiply(identity,X_3)))]]) ).
cnf(refute_0_199,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),multiply(identity,X_3)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(identity,multiply(X_15,identity)) = inverse(inverse(multiply(X_15,identity))),
inference(subst,[],[refute_0_199:[bind(X_3,$fot(multiply(X_15,identity)))]]) ).
cnf(refute_0_201,plain,
multiply(inverse(identity),multiply(X_15,identity)) = multiply(inverse(identity),multiply(X_15,identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),multiply(X_15,identity)))]]) ).
cnf(refute_0_202,plain,
( multiply(inverse(identity),multiply(X_15,identity)) != multiply(inverse(identity),multiply(X_15,identity))
| inverse(identity) != identity
| multiply(inverse(identity),multiply(X_15,identity)) = multiply(identity,multiply(X_15,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(X_15,identity)),multiply(inverse(identity),multiply(X_15,identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_203,plain,
( inverse(identity) != identity
| multiply(inverse(identity),multiply(X_15,identity)) = multiply(identity,multiply(X_15,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_15,identity)),multiply(inverse(identity),multiply(X_15,identity))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(inverse(identity),multiply(X_15,identity)) = multiply(identity,multiply(X_15,identity)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_87,refute_0_203]) ).
cnf(refute_0_205,plain,
( multiply(identity,multiply(X_15,identity)) != inverse(inverse(multiply(X_15,identity)))
| multiply(inverse(identity),multiply(X_15,identity)) != multiply(identity,multiply(X_15,identity))
| multiply(inverse(identity),multiply(X_15,identity)) = inverse(inverse(multiply(X_15,identity))) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(multiply(inverse(identity),multiply(X_15,identity)))),bind(Y,$fot(multiply(identity,multiply(X_15,identity)))),bind(Z,$fot(inverse(inverse(multiply(X_15,identity)))))]]) ).
cnf(refute_0_206,plain,
( multiply(identity,multiply(X_15,identity)) != inverse(inverse(multiply(X_15,identity)))
| multiply(inverse(identity),multiply(X_15,identity)) = inverse(inverse(multiply(X_15,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_15,identity)),multiply(identity,multiply(X_15,identity))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(inverse(identity),multiply(X_15,identity)) = inverse(inverse(multiply(X_15,identity))),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_15,identity)),inverse(inverse(multiply(X_15,identity)))) )],[refute_0_200,refute_0_206]) ).
cnf(refute_0_208,plain,
( multiply(inverse(identity),multiply(X_15,identity)) != X_15
| multiply(inverse(identity),multiply(X_15,identity)) != inverse(inverse(multiply(X_15,identity)))
| inverse(inverse(multiply(X_15,identity))) = X_15 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),multiply(X_15,identity)),X_15) ),[0],$fot(inverse(inverse(multiply(X_15,identity))))]]) ).
cnf(refute_0_209,plain,
( multiply(inverse(identity),multiply(X_15,identity)) != X_15
| inverse(inverse(multiply(X_15,identity))) = X_15 ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_15,identity)),inverse(inverse(multiply(X_15,identity)))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(inverse(multiply(X_15,identity))) = X_15,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),multiply(X_15,identity)),X_15) )],[refute_0_190,refute_0_209]) ).
cnf(refute_0_211,plain,
( multiply(inverse(divide(X_7,X_15)),X_7) != inverse(inverse(multiply(X_15,identity)))
| inverse(inverse(multiply(X_15,identity))) != X_15
| multiply(inverse(divide(X_7,X_15)),X_7) = X_15 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(divide(X_7,X_15)),X_7),X_15) ),[0],$fot(inverse(inverse(multiply(X_15,identity))))]]) ).
cnf(refute_0_212,plain,
( multiply(inverse(divide(X_7,X_15)),X_7) != inverse(inverse(multiply(X_15,identity)))
| multiply(inverse(divide(X_7,X_15)),X_7) = X_15 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_15,identity))),X_15) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(inverse(divide(X_7,X_15)),X_7) = X_15,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,X_15)),X_7),inverse(inverse(multiply(X_15,identity)))) )],[refute_0_183,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) = multiply(X_8,identity),
inference(subst,[],[refute_0_213:[bind(X_15,$fot(multiply(X_8,identity)))]]) ).
cnf(refute_0_215,plain,
( multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != X_8
| multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != multiply(X_8,identity)
| multiply(X_8,identity) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),X_8) ),[0],$fot(multiply(X_8,identity))]]) ).
cnf(refute_0_216,plain,
( multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7) != X_8
| multiply(X_8,identity) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),multiply(X_8,identity)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
multiply(X_8,identity) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,multiply(X_8,identity))),X_7),X_8) )],[refute_0_152,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_217:[bind(X_8,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_219,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(X_13))
| multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_220,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(X_13))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
inverse(inverse(multiply(X_13,identity))) = X_13,
inference(subst,[],[refute_0_210:[bind(X_15,$fot(X_13))]]) ).
cnf(refute_0_222,plain,
( inverse(inverse(X_13)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(multiply(X_13,identity))) != X_13
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_13)),X_13) ),[0],$fot(inverse(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_223,plain,
( inverse(inverse(X_13)) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_13,identity))),X_13) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_170,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(inverse(X_15)) = X_15,
inference(subst,[],[refute_0_225:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_227,plain,
divide(inverse(inverse(X_15)),X_9) = divide(inverse(inverse(X_15)),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(X_15)),X_9))]]) ).
cnf(refute_0_228,plain,
( divide(inverse(inverse(X_15)),X_9) != divide(inverse(inverse(X_15)),X_9)
| inverse(inverse(X_15)) != X_15
| divide(inverse(inverse(X_15)),X_9) = divide(X_15,X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_15)),X_9),divide(inverse(inverse(X_15)),X_9)) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_229,plain,
( inverse(inverse(X_15)) != X_15
| divide(inverse(inverse(X_15)),X_9) = divide(X_15,X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_15)),X_9),divide(inverse(inverse(X_15)),X_9)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
divide(inverse(inverse(X_15)),X_9) = divide(X_15,X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( divide(inverse(inverse(X_15)),X_9) != divide(X_15,X_9)
| divide(inverse(inverse(X_15)),X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| divide(X_15,X_9) = inverse(divide(X_9,multiply(X_15,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(X_15)),X_9),inverse(divide(X_9,multiply(X_15,identity)))) ),[0],$fot(divide(X_15,X_9))]]) ).
cnf(refute_0_232,plain,
( divide(inverse(inverse(X_15)),X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| divide(X_15,X_9) = inverse(divide(X_9,multiply(X_15,identity))) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_15)),X_9),divide(X_15,X_9)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(X_15,identity) = X_15,
inference(subst,[],[refute_0_217:[bind(X_8,$fot(X_15))]]) ).
cnf(refute_0_234,plain,
divide(X_9,multiply(X_15,identity)) = divide(X_9,multiply(X_15,identity)),
introduced(tautology,[refl,[$fot(divide(X_9,multiply(X_15,identity)))]]) ).
cnf(refute_0_235,plain,
( multiply(X_15,identity) != X_15
| divide(X_9,multiply(X_15,identity)) != divide(X_9,multiply(X_15,identity))
| divide(X_9,multiply(X_15,identity)) = divide(X_9,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_9,multiply(X_15,identity)),divide(X_9,multiply(X_15,identity))) ),[1,1],$fot(X_15)]]) ).
cnf(refute_0_236,plain,
( multiply(X_15,identity) != X_15
| divide(X_9,multiply(X_15,identity)) = divide(X_9,X_15) ),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_15,identity)),divide(X_9,multiply(X_15,identity))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
divide(X_9,multiply(X_15,identity)) = divide(X_9,X_15),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),X_15) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
inverse(divide(X_9,multiply(X_15,identity))) = inverse(divide(X_9,multiply(X_15,identity))),
introduced(tautology,[refl,[$fot(inverse(divide(X_9,multiply(X_15,identity))))]]) ).
cnf(refute_0_239,plain,
( divide(X_9,multiply(X_15,identity)) != divide(X_9,X_15)
| inverse(divide(X_9,multiply(X_15,identity))) != inverse(divide(X_9,multiply(X_15,identity)))
| inverse(divide(X_9,multiply(X_15,identity))) = inverse(divide(X_9,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_9,multiply(X_15,identity))),inverse(divide(X_9,multiply(X_15,identity)))) ),[1,0],$fot(divide(X_9,X_15))]]) ).
cnf(refute_0_240,plain,
( divide(X_9,multiply(X_15,identity)) != divide(X_9,X_15)
| inverse(divide(X_9,multiply(X_15,identity))) = inverse(divide(X_9,X_15)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_15,identity))),inverse(divide(X_9,multiply(X_15,identity)))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
inverse(divide(X_9,multiply(X_15,identity))) = inverse(divide(X_9,X_15)),
inference(resolve,[$cnf( $equal(divide(X_9,multiply(X_15,identity)),divide(X_9,X_15)) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( divide(X_15,X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| inverse(divide(X_9,multiply(X_15,identity))) != inverse(divide(X_9,X_15))
| divide(X_15,X_9) = inverse(divide(X_9,X_15)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(X_15,X_9),inverse(divide(X_9,X_15))) ),[0],$fot(inverse(divide(X_9,multiply(X_15,identity))))]]) ).
cnf(refute_0_243,plain,
( divide(X_15,X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| divide(X_15,X_9) = inverse(divide(X_9,X_15)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,multiply(X_15,identity))),inverse(divide(X_9,X_15))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
( divide(inverse(inverse(X_15)),X_9) != inverse(divide(X_9,multiply(X_15,identity)))
| divide(X_15,X_9) = inverse(divide(X_9,X_15)) ),
inference(resolve,[$cnf( $equal(divide(X_15,X_9),inverse(divide(X_9,multiply(X_15,identity)))) )],[refute_0_232,refute_0_243]) ).
cnf(refute_0_245,plain,
divide(X_15,X_9) = inverse(divide(X_9,X_15)),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_15)),X_9),inverse(divide(X_9,multiply(X_15,identity)))) )],[refute_0_156,refute_0_244]) ).
cnf(refute_0_246,plain,
( divide(X_15,X_9) != inverse(divide(X_9,X_15))
| inverse(divide(X_9,X_15)) = divide(X_15,X_9) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(X_15,X_9))),bind(Y,$fot(inverse(divide(X_9,X_15))))]]) ).
cnf(refute_0_247,plain,
inverse(divide(X_9,X_15)) = divide(X_15,X_9),
inference(resolve,[$cnf( $equal(divide(X_15,X_9),inverse(divide(X_9,X_15))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) = divide(divide(X_8,multiply(inverse(X_7),B)),X_7),
inference(subst,[],[refute_0_247:[bind(X_15,$fot(divide(X_8,multiply(inverse(X_7),B)))),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_249,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),
introduced(tautology,[refl,[$fot(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B))]]) ).
cnf(refute_0_250,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)
| inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) != divide(divide(X_8,multiply(inverse(X_7),B)),X_7)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)) ),[1,0],$fot(divide(divide(X_8,multiply(inverse(X_7),B)),X_7))]]) ).
cnf(refute_0_251,plain,
( inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))) != divide(divide(X_8,multiply(inverse(X_7),B)),X_7)
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) = multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B),
inference(resolve,[$cnf( $equal(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),divide(divide(X_8,multiply(inverse(X_7),B)),X_7)) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != X_8
| multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),X_8) ),[0],$fot(multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B))]]) ).
cnf(refute_0_254,plain,
( multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B) != X_8
| multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = X_8 ),
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(divide(divide(X_8,multiply(inverse(X_7),B)),X_7),B) = X_8,
inference(resolve,[$cnf( $equal(multiply(inverse(divide(X_7,divide(X_8,multiply(inverse(X_7),B)))),B),X_8) )],[refute_0_77,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),X_23) = X_25,
inference(subst,[],[refute_0_255:[bind(B,$fot(X_23)),bind(X_7,$fot(inverse(B))),bind(X_8,$fot(X_25))]]) ).
cnf(refute_0_257,plain,
multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) = divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(divide(X_25,multiply(inverse(inverse(B)),X_23))))]]) ).
cnf(refute_0_258,plain,
( multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) != divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B))
| divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)) = multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B))),bind(Y,$fot(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B))))]]) ).
cnf(refute_0_259,plain,
divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)) = multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),
inference(resolve,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
( multiply(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),X_23) != X_25
| divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)) != multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B)
| multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),X_23),X_25) ),[0,0],$fot(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B))]]) ).
cnf(refute_0_261,plain,
( multiply(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),X_23) != X_25
| multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = X_25 ),
inference(resolve,[$cnf( $equal(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = X_25,
inference(resolve,[$cnf( $equal(multiply(divide(divide(X_25,multiply(inverse(inverse(B)),X_23)),inverse(B)),X_23),X_25) )],[refute_0_256,refute_0_261]) ).
cnf(refute_0_263,plain,
inverse(inverse(B)) = B,
inference(subst,[],[refute_0_225:[bind(X_13,$fot(B))]]) ).
cnf(refute_0_264,plain,
multiply(inverse(inverse(B)),X_23) = multiply(inverse(inverse(B)),X_23),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(B)),X_23))]]) ).
cnf(refute_0_265,plain,
( multiply(inverse(inverse(B)),X_23) != multiply(inverse(inverse(B)),X_23)
| inverse(inverse(B)) != B
| multiply(inverse(inverse(B)),X_23) = multiply(B,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(B)),X_23),multiply(inverse(inverse(B)),X_23)) ),[1,0],$fot(B)]]) ).
cnf(refute_0_266,plain,
( inverse(inverse(B)) != B
| multiply(inverse(inverse(B)),X_23) = multiply(B,X_23) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),X_23),multiply(inverse(inverse(B)),X_23)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(inverse(inverse(B)),X_23) = multiply(B,X_23),
inference(resolve,[$cnf( $equal(inverse(inverse(B)),B) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
divide(X_25,multiply(inverse(inverse(B)),X_23)) = divide(X_25,multiply(inverse(inverse(B)),X_23)),
introduced(tautology,[refl,[$fot(divide(X_25,multiply(inverse(inverse(B)),X_23)))]]) ).
cnf(refute_0_269,plain,
( multiply(inverse(inverse(B)),X_23) != multiply(B,X_23)
| divide(X_25,multiply(inverse(inverse(B)),X_23)) != divide(X_25,multiply(inverse(inverse(B)),X_23))
| divide(X_25,multiply(inverse(inverse(B)),X_23)) = divide(X_25,multiply(B,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(X_25,multiply(inverse(inverse(B)),X_23)),divide(X_25,multiply(inverse(inverse(B)),X_23))) ),[1,1],$fot(multiply(B,X_23))]]) ).
cnf(refute_0_270,plain,
( multiply(inverse(inverse(B)),X_23) != multiply(B,X_23)
| divide(X_25,multiply(inverse(inverse(B)),X_23)) = divide(X_25,multiply(B,X_23)) ),
inference(resolve,[$cnf( $equal(divide(X_25,multiply(inverse(inverse(B)),X_23)),divide(X_25,multiply(inverse(inverse(B)),X_23))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
divide(X_25,multiply(inverse(inverse(B)),X_23)) = divide(X_25,multiply(B,X_23)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(B)),X_23),multiply(B,X_23)) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) = multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),
introduced(tautology,[refl,[$fot(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B))]]) ).
cnf(refute_0_273,plain,
( multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) != multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B)
| divide(X_25,multiply(inverse(inverse(B)),X_23)) != divide(X_25,multiply(B,X_23))
| multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) = multiply(divide(X_25,multiply(B,X_23)),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B)) ),[1,0],$fot(divide(X_25,multiply(B,X_23)))]]) ).
cnf(refute_0_274,plain,
( divide(X_25,multiply(inverse(inverse(B)),X_23)) != divide(X_25,multiply(B,X_23))
| multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) = multiply(divide(X_25,multiply(B,X_23)),B) ),
inference(resolve,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) = multiply(divide(X_25,multiply(B,X_23)),B),
inference(resolve,[$cnf( $equal(divide(X_25,multiply(inverse(inverse(B)),X_23)),divide(X_25,multiply(B,X_23))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23),
introduced(tautology,[refl,[$fot(multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23))]]) ).
cnf(refute_0_277,plain,
( multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) != multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23)
| multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) != multiply(divide(X_25,multiply(B,X_23)),B)
| multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23),multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23)) ),[1,0],$fot(multiply(divide(X_25,multiply(B,X_23)),B))]]) ).
cnf(refute_0_278,plain,
( multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B) != multiply(divide(X_25,multiply(B,X_23)),B)
| multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23) ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23),multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) = multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23),
inference(resolve,[$cnf( $equal(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),multiply(divide(X_25,multiply(B,X_23)),B)) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) != X_25
| multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) != multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23)
| multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23),X_25) ),[0],$fot(multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23))]]) ).
cnf(refute_0_281,plain,
( multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23) != X_25
| multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23) = X_25 ),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23),multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(multiply(divide(X_25,multiply(B,X_23)),B),X_23) = X_25,
inference(resolve,[$cnf( $equal(multiply(multiply(divide(X_25,multiply(inverse(inverse(B)),X_23)),B),X_23),X_25) )],[refute_0_262,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(multiply(divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)),X_35),X_36) = multiply(X_8,multiply(X_35,X_36)),
inference(subst,[],[refute_0_282:[bind(B,$fot(X_35)),bind(X_23,$fot(X_36)),bind(X_25,$fot(multiply(X_8,multiply(X_35,X_36))))]]) ).
cnf(refute_0_284,plain,
inverse(inverse(multiply(X_8,X_9))) = multiply(X_8,X_9),
inference(subst,[],[refute_0_225:[bind(X_13,$fot(multiply(X_8,X_9)))]]) ).
cnf(refute_0_285,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(inverse(inverse(multiply(X_8,X_9))),X_9),
introduced(tautology,[refl,[$fot(divide(inverse(inverse(multiply(X_8,X_9))),X_9))]]) ).
cnf(refute_0_286,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != divide(inverse(inverse(multiply(X_8,X_9))),X_9)
| inverse(inverse(multiply(X_8,X_9))) != multiply(X_8,X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(multiply(X_8,X_9),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) ),[1,0],$fot(multiply(X_8,X_9))]]) ).
cnf(refute_0_287,plain,
( inverse(inverse(multiply(X_8,X_9))) != multiply(X_8,X_9)
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(multiply(X_8,X_9),X_9) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),divide(inverse(inverse(multiply(X_8,X_9))),X_9)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
divide(inverse(inverse(multiply(X_8,X_9))),X_9) = divide(multiply(X_8,X_9),X_9),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_8,X_9))),multiply(X_8,X_9)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != X_8
| divide(inverse(inverse(multiply(X_8,X_9))),X_9) != divide(multiply(X_8,X_9),X_9)
| divide(multiply(X_8,X_9),X_9) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),X_8) ),[0],$fot(divide(multiply(X_8,X_9),X_9))]]) ).
cnf(refute_0_290,plain,
( divide(inverse(inverse(multiply(X_8,X_9))),X_9) != X_8
| divide(multiply(X_8,X_9),X_9) = X_8 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),divide(multiply(X_8,X_9),X_9)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
divide(multiply(X_8,X_9),X_9) = X_8,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_8,X_9))),X_9),X_8) )],[refute_0_118,refute_0_290]) ).
cnf(refute_0_292,plain,
divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)) = X_8,
inference(subst,[],[refute_0_291:[bind(X_9,$fot(multiply(X_35,X_36)))]]) ).
cnf(refute_0_293,plain,
( multiply(multiply(divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)),X_35),X_36) != multiply(X_8,multiply(X_35,X_36))
| divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)) != X_8
| multiply(multiply(X_8,X_35),X_36) = multiply(X_8,multiply(X_35,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)),X_35),X_36),multiply(X_8,multiply(X_35,X_36))) ),[0,0,0],$fot(X_8)]]) ).
cnf(refute_0_294,plain,
( multiply(multiply(divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)),X_35),X_36) != multiply(X_8,multiply(X_35,X_36))
| multiply(multiply(X_8,X_35),X_36) = multiply(X_8,multiply(X_35,X_36)) ),
inference(resolve,[$cnf( $equal(divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)),X_8) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(multiply(X_8,X_35),X_36) = multiply(X_8,multiply(X_35,X_36)),
inference(resolve,[$cnf( $equal(multiply(multiply(divide(multiply(X_8,multiply(X_35,X_36)),multiply(X_35,X_36)),X_35),X_36),multiply(X_8,multiply(X_35,X_36))) )],[refute_0_283,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_295:[bind(X_35,$fot(b3)),bind(X_36,$fot(c3)),bind(X_8,$fot(a3))]]) ).
cnf(refute_0_297,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_298,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_298,prove_these_axioms_3]) ).
cnf(refute_0_300,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_301,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_300,refute_0_299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP459-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 04:38:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39
% 0.14/0.39 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.46
%------------------------------------------------------------------------------