TSTP Solution File: GRP451-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:40:43 EDT 2022
% Result : Unsatisfiable 0.22s 0.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 38
% Syntax : Number of clauses : 127 ( 68 unt; 0 nHn; 58 RR)
% Number of literals : 212 ( 211 equ; 87 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 288 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B ).
cnf(multiply,axiom,
multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
cnf(inverse,axiom,
inverse(A) = divide(divide(B,B),A) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
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( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != divide(divide(B,B),A)
| divide(divide(B,B),A) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).
cnf(refute_0_4,plain,
divide(divide(B,B),A) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
divide(divide(A,A),A) = inverse(A),
inference(subst,[],[refute_0_4:[bind(B,$fot(A))]]) ).
cnf(refute_0_6,plain,
divide(divide(divide(A,A),A),C) = divide(divide(divide(A,A),A),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),A),C))]]) ).
cnf(refute_0_7,plain,
( divide(divide(A,A),A) != inverse(A)
| divide(divide(divide(A,A),A),C) != divide(divide(divide(A,A),A),C)
| divide(divide(divide(A,A),A),C) = divide(inverse(A),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),A),C)) ),[1,0],$fot(inverse(A))]]) ).
cnf(refute_0_8,plain,
( divide(divide(A,A),A) != inverse(A)
| divide(divide(divide(A,A),A),C) = divide(inverse(A),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),A),C)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
divide(divide(divide(A,A),A),C) = divide(inverse(A),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),A),inverse(A)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(divide(divide(A,A),A),C)),
introduced(tautology,[refl,[$fot(divide(B,divide(divide(divide(A,A),A),C)))]]) ).
cnf(refute_0_11,plain,
( divide(B,divide(divide(divide(A,A),A),C)) != divide(B,divide(divide(divide(A,A),A),C))
| divide(divide(divide(A,A),A),C) != divide(inverse(A),C)
| divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(inverse(A),C)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(B,divide(divide(divide(A,A),A),C)),divide(B,divide(divide(divide(A,A),A),C))) ),[1,1],$fot(divide(inverse(A),C))]]) ).
cnf(refute_0_12,plain,
( divide(divide(divide(A,A),A),C) != divide(inverse(A),C)
| divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(inverse(A),C)) ),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(divide(A,A),A),C)),divide(B,divide(divide(divide(A,A),A),C))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
divide(B,divide(divide(divide(A,A),A),C)) = divide(B,divide(inverse(A),C)),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),A),C),divide(inverse(A),C)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(divide(divide(A,A),A),C))),
introduced(tautology,[refl,[$fot(divide(A,divide(B,divide(divide(divide(A,A),A),C))))]]) ).
cnf(refute_0_15,plain,
( divide(A,divide(B,divide(divide(divide(A,A),A),C))) != divide(A,divide(B,divide(divide(divide(A,A),A),C)))
| divide(B,divide(divide(divide(A,A),A),C)) != divide(B,divide(inverse(A),C))
| divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(inverse(A),C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(divide(divide(A,A),A),C))),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) ),[1,1],$fot(divide(B,divide(inverse(A),C)))]]) ).
cnf(refute_0_16,plain,
( divide(B,divide(divide(divide(A,A),A),C)) != divide(B,divide(inverse(A),C))
| divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(inverse(A),C))) ),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(divide(A,A),A),C))),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
divide(A,divide(B,divide(divide(divide(A,A),A),C))) = divide(A,divide(B,divide(inverse(A),C))),
inference(resolve,[$cnf( $equal(divide(B,divide(divide(divide(A,A),A),C)),divide(B,divide(inverse(A),C))) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),
introduced(tautology,[refl,[$fot(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))))]]) ).
cnf(refute_0_19,plain,
( divide(A,divide(B,divide(divide(divide(A,A),A),C))) != divide(A,divide(B,divide(inverse(A),C)))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))) ),[1,0],$fot(divide(A,divide(B,divide(inverse(A),C))))]]) ).
cnf(refute_0_20,plain,
( divide(A,divide(B,divide(divide(divide(A,A),A),C))) != divide(A,divide(B,divide(inverse(A),C)))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(divide(divide(A,A),A),C))),divide(A,divide(B,divide(inverse(A),C)))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(A,divide(B,divide(divide(divide(A,A),A),C))))),bind(B,$fot(A))]]) ).
cnf(refute_0_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_23]) ).
cnf(refute_0_25,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))
| inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))))),bind(Y,$fot(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))))),bind(Z,$fot(inverse(divide(A,divide(B,divide(inverse(A),C))))))]]) ).
cnf(refute_0_26,plain,
( inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))) ),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C))))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) = inverse(divide(A,divide(B,divide(inverse(A),C)))),
inference(resolve,[$cnf( $equal(inverse(divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),
introduced(tautology,[refl,[$fot(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C))]]) ).
cnf(refute_0_29,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)) ),[1,0],$fot(inverse(divide(A,divide(B,divide(inverse(A),C)))))]]) ).
cnf(refute_0_30,plain,
( divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))) != inverse(divide(A,divide(B,divide(inverse(A),C))))
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C),
inference(resolve,[$cnf( $equal(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),inverse(divide(A,divide(B,divide(inverse(A),C))))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != B
| divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C)
| divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),B) ),[0],$fot(divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C))]]) ).
cnf(refute_0_33,plain,
( divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) != B
| divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B ),
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
divide(inverse(divide(A,divide(B,divide(inverse(A),C)))),C) = B,
inference(resolve,[$cnf( $equal(divide(divide(divide(A,A),divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C),B) )],[single_axiom,refute_0_33]) ).
cnf(refute_0_35,plain,
divide(inverse(divide(divide(X_1,X_1),divide(X_9,divide(inverse(divide(X_1,X_1)),X_10)))),X_10) = X_9,
inference(subst,[],[refute_0_34:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_9)),bind(C,$fot(X_10))]]) ).
cnf(refute_0_36,plain,
inverse(A) = divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A),
inference(subst,[],[inverse:[bind(B,$fot(divide(X_1,X_1)))]]) ).
cnf(refute_0_37,plain,
inverse(divide(X_1,X_1)) = divide(divide(X_1,X_1),divide(X_1,X_1)),
inference(subst,[],[inverse:[bind(A,$fot(divide(X_1,X_1))),bind(B,$fot(X_1))]]) ).
cnf(refute_0_38,plain,
( inverse(divide(X_1,X_1)) != divide(divide(X_1,X_1),divide(X_1,X_1))
| divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(divide(X_1,X_1)))),bind(Y,$fot(divide(divide(X_1,X_1),divide(X_1,X_1))))]]) ).
cnf(refute_0_39,plain,
divide(divide(X_1,X_1),divide(X_1,X_1)) = inverse(divide(X_1,X_1)),
inference(resolve,[$cnf( $equal(inverse(divide(X_1,X_1)),divide(divide(X_1,X_1),divide(X_1,X_1))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( divide(divide(X_1,X_1),divide(X_1,X_1)) != inverse(divide(X_1,X_1))
| inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) ),[1,0],$fot(inverse(divide(X_1,X_1)))]]) ).
cnf(refute_0_41,plain,
( inverse(A) != divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)
| inverse(A) = divide(inverse(divide(X_1,X_1)),A) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_1,X_1)),inverse(divide(X_1,X_1))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
inverse(A) = divide(inverse(divide(X_1,X_1)),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(divide(X_1,X_1),divide(X_1,X_1)),A)) )],[refute_0_36,refute_0_41]) ).
cnf(refute_0_43,plain,
inverse(X_10) = divide(inverse(divide(X_1,X_1)),X_10),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_44,plain,
( inverse(X_10) != divide(inverse(divide(X_1,X_1)),X_10)
| divide(inverse(divide(X_1,X_1)),X_10) = inverse(X_10) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(divide(inverse(divide(X_1,X_1)),X_10)))]]) ).
cnf(refute_0_45,plain,
divide(inverse(divide(X_1,X_1)),X_10) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),divide(inverse(divide(X_1,X_1)),X_10)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( divide(inverse(divide(X_1,X_1)),X_10) != inverse(X_10)
| divide(inverse(divide(divide(X_1,X_1),divide(X_9,divide(inverse(divide(X_1,X_1)),X_10)))),X_10) != X_9
| divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,divide(inverse(divide(X_1,X_1)),X_10)))),X_10),X_9) ),[0,0,0,1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_47,plain,
( divide(inverse(divide(divide(X_1,X_1),divide(X_9,divide(inverse(divide(X_1,X_1)),X_10)))),X_10) != X_9
| divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_1,X_1)),X_10),inverse(X_10)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,divide(inverse(divide(X_1,X_1)),X_10)))),X_10),X_9) )],[refute_0_35,refute_0_47]) ).
cnf(refute_0_49,plain,
divide(divide(C,C),B) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).
cnf(refute_0_50,plain,
divide(A,divide(divide(C,C),B)) = divide(A,divide(divide(C,C),B)),
introduced(tautology,[refl,[$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_51,plain,
( divide(A,divide(divide(C,C),B)) != divide(A,divide(divide(C,C),B))
| divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_52,plain,
( divide(divide(C,C),B) != inverse(B)
| divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,divide(divide(C,C),B))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
divide(A,divide(divide(C,C),B)) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(divide(divide(C,C),B),inverse(B)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| divide(A,divide(divide(C,C),B)) != divide(A,inverse(B))
| multiply(A,B) = divide(A,inverse(B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),divide(A,inverse(B))) ),[0],$fot(divide(A,divide(divide(C,C),B)))]]) ).
cnf(refute_0_55,plain,
( multiply(A,B) != divide(A,divide(divide(C,C),B))
| multiply(A,B) = divide(A,inverse(B)) ),
inference(resolve,[$cnf( $equal(divide(A,divide(divide(C,C),B)),divide(A,inverse(B))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(A,B) = divide(A,inverse(B)),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,divide(divide(C,C),B))) )],[multiply,refute_0_55]) ).
cnf(refute_0_57,plain,
( multiply(A,B) != divide(A,inverse(B))
| divide(A,inverse(B)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).
cnf(refute_0_58,plain,
divide(A,inverse(B)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
divide(X_9,inverse(X_10)) = multiply(X_9,X_10),
inference(subst,[],[refute_0_58:[bind(A,$fot(X_9)),bind(B,$fot(X_10))]]) ).
cnf(refute_0_60,plain,
inverse(divide(X_9,inverse(X_10))) = inverse(divide(X_9,inverse(X_10))),
introduced(tautology,[refl,[$fot(inverse(divide(X_9,inverse(X_10))))]]) ).
cnf(refute_0_61,plain,
( divide(X_9,inverse(X_10)) != multiply(X_9,X_10)
| inverse(divide(X_9,inverse(X_10))) != inverse(divide(X_9,inverse(X_10)))
| inverse(divide(X_9,inverse(X_10))) = inverse(multiply(X_9,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(X_9,inverse(X_10))),inverse(divide(X_9,inverse(X_10)))) ),[1,0],$fot(multiply(X_9,X_10))]]) ).
cnf(refute_0_62,plain,
( divide(X_9,inverse(X_10)) != multiply(X_9,X_10)
| inverse(divide(X_9,inverse(X_10))) = inverse(multiply(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,inverse(X_10))),inverse(divide(X_9,inverse(X_10)))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(divide(X_9,inverse(X_10))) = inverse(multiply(X_9,X_10)),
inference(resolve,[$cnf( $equal(divide(X_9,inverse(X_10)),multiply(X_9,X_10)) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) = inverse(divide(X_9,inverse(X_10))),
inference(subst,[],[refute_0_4:[bind(A,$fot(divide(X_9,inverse(X_10)))),bind(B,$fot(X_1))]]) ).
cnf(refute_0_65,plain,
( divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) != inverse(divide(X_9,inverse(X_10)))
| inverse(divide(X_9,inverse(X_10))) != inverse(multiply(X_9,X_10))
| divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) = inverse(multiply(X_9,X_10)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(divide(divide(X_1,X_1),divide(X_9,inverse(X_10))))),bind(Y,$fot(inverse(divide(X_9,inverse(X_10))))),bind(Z,$fot(inverse(multiply(X_9,X_10))))]]) ).
cnf(refute_0_66,plain,
( inverse(divide(X_9,inverse(X_10))) != inverse(multiply(X_9,X_10))
| divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) = inverse(multiply(X_9,X_10)) ),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_9,inverse(X_10))),inverse(divide(X_9,inverse(X_10)))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) = inverse(multiply(X_9,X_10)),
inference(resolve,[$cnf( $equal(inverse(divide(X_9,inverse(X_10))),inverse(multiply(X_9,X_10))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) = inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),
introduced(tautology,[refl,[$fot(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))))]]) ).
cnf(refute_0_69,plain,
( divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) != inverse(multiply(X_9,X_10))
| inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) != inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10))))
| inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) = inverse(inverse(multiply(X_9,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10))))) ),[1,0],$fot(inverse(multiply(X_9,X_10)))]]) ).
cnf(refute_0_70,plain,
( divide(divide(X_1,X_1),divide(X_9,inverse(X_10))) != inverse(multiply(X_9,X_10))
| inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) = inverse(inverse(multiply(X_9,X_10))) ),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10))))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) = inverse(inverse(multiply(X_9,X_10))),
inference(resolve,[$cnf( $equal(divide(divide(X_1,X_1),divide(X_9,inverse(X_10))),inverse(multiply(X_9,X_10))) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10),
introduced(tautology,[refl,[$fot(divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10))]]) ).
cnf(refute_0_73,plain,
( divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) != divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10)
| inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) != inverse(inverse(multiply(X_9,X_10)))
| divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = divide(inverse(inverse(multiply(X_9,X_10))),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10),divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10)) ),[1,0],$fot(inverse(inverse(multiply(X_9,X_10))))]]) ).
cnf(refute_0_74,plain,
( inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))) != inverse(inverse(multiply(X_9,X_10)))
| divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = divide(inverse(inverse(multiply(X_9,X_10))),X_10) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10),divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) = divide(inverse(inverse(multiply(X_9,X_10))),X_10),
inference(resolve,[$cnf( $equal(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),inverse(inverse(multiply(X_9,X_10)))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
( divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) != X_9
| divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) != divide(inverse(inverse(multiply(X_9,X_10))),X_10)
| divide(inverse(inverse(multiply(X_9,X_10))),X_10) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10),X_9) ),[0],$fot(divide(inverse(inverse(multiply(X_9,X_10))),X_10))]]) ).
cnf(refute_0_77,plain,
( divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10) != X_9
| divide(inverse(inverse(multiply(X_9,X_10))),X_10) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10),divide(inverse(inverse(multiply(X_9,X_10))),X_10)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
divide(inverse(inverse(multiply(X_9,X_10))),X_10) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(divide(divide(X_1,X_1),divide(X_9,inverse(X_10)))),X_10),X_9) )],[refute_0_48,refute_0_77]) ).
cnf(refute_0_79,plain,
divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)) = X_9,
inference(subst,[],[refute_0_78:[bind(X_10,$fot(inverse(X_14)))]]) ).
cnf(refute_0_80,plain,
multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)),
inference(subst,[],[refute_0_56:[bind(A,$fot(inverse(inverse(multiply(X_9,inverse(X_14)))))),bind(B,$fot(X_14))]]) ).
cnf(refute_0_81,plain,
( multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) != divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14))
| divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)) = multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14))),bind(Y,$fot(divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14))))]]) ).
cnf(refute_0_82,plain,
divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)) = multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)) != X_9
| divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)) != multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14)
| multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)),X_9) ),[0],$fot(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14))]]) ).
cnf(refute_0_84,plain,
( divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)) != X_9
| multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = X_9 ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)),multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = X_9,
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(X_9,inverse(X_14)))),inverse(X_14)),X_9) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
divide(inverse(inverse(multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10))),X_10) = inverse(inverse(multiply(X_20,inverse(X_10)))),
inference(subst,[],[refute_0_78:[bind(X_9,$fot(inverse(inverse(multiply(X_20,inverse(X_10))))))]]) ).
cnf(refute_0_87,plain,
multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10) = X_20,
inference(subst,[],[refute_0_85:[bind(X_14,$fot(X_10)),bind(X_9,$fot(X_20))]]) ).
cnf(refute_0_88,plain,
( multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10) != X_20
| divide(inverse(inverse(multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10))),X_10) != inverse(inverse(multiply(X_20,inverse(X_10))))
| divide(inverse(inverse(X_20)),X_10) = inverse(inverse(multiply(X_20,inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10))),X_10),inverse(inverse(multiply(X_20,inverse(X_10))))) ),[0,0,0,0],$fot(X_20)]]) ).
cnf(refute_0_89,plain,
( divide(inverse(inverse(multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10))),X_10) != inverse(inverse(multiply(X_20,inverse(X_10))))
| divide(inverse(inverse(X_20)),X_10) = inverse(inverse(multiply(X_20,inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10),X_20) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
divide(inverse(inverse(X_20)),X_10) = inverse(inverse(multiply(X_20,inverse(X_10)))),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(multiply(inverse(inverse(multiply(X_20,inverse(X_10)))),X_10))),X_10),inverse(inverse(multiply(X_20,inverse(X_10))))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
( divide(inverse(inverse(X_20)),X_10) != inverse(inverse(multiply(X_20,inverse(X_10))))
| inverse(inverse(multiply(X_20,inverse(X_10)))) = divide(inverse(inverse(X_20)),X_10) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(divide(inverse(inverse(X_20)),X_10))),bind(Y,$fot(inverse(inverse(multiply(X_20,inverse(X_10))))))]]) ).
cnf(refute_0_92,plain,
inverse(inverse(multiply(X_20,inverse(X_10)))) = divide(inverse(inverse(X_20)),X_10),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(X_20)),X_10),inverse(inverse(multiply(X_20,inverse(X_10))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
inverse(inverse(multiply(X_9,inverse(X_14)))) = divide(inverse(inverse(X_9)),X_14),
inference(subst,[],[refute_0_92:[bind(X_10,$fot(X_14)),bind(X_20,$fot(X_9))]]) ).
cnf(refute_0_94,plain,
multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) != multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14)
| inverse(inverse(multiply(X_9,inverse(X_14)))) != divide(inverse(inverse(X_9)),X_14)
| multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = multiply(divide(inverse(inverse(X_9)),X_14),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14)) ),[1,0],$fot(divide(inverse(inverse(X_9)),X_14))]]) ).
cnf(refute_0_96,plain,
( inverse(inverse(multiply(X_9,inverse(X_14)))) != divide(inverse(inverse(X_9)),X_14)
| multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = multiply(divide(inverse(inverse(X_9)),X_14),X_14) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) = multiply(divide(inverse(inverse(X_9)),X_14),X_14),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_9,inverse(X_14)))),divide(inverse(inverse(X_9)),X_14)) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) != X_9
| multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) != multiply(divide(inverse(inverse(X_9)),X_14),X_14)
| multiply(divide(inverse(inverse(X_9)),X_14),X_14) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),X_9) ),[0],$fot(multiply(divide(inverse(inverse(X_9)),X_14),X_14))]]) ).
cnf(refute_0_99,plain,
( multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14) != X_9
| multiply(divide(inverse(inverse(X_9)),X_14),X_14) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),multiply(divide(inverse(inverse(X_9)),X_14),X_14)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(divide(inverse(inverse(X_9)),X_14),X_14) = X_9,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_9,inverse(X_14)))),X_14),X_9) )],[refute_0_85,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(divide(inverse(inverse(divide(X_3,X_3))),X_23),X_23) = divide(X_3,X_3),
inference(subst,[],[refute_0_100:[bind(X_14,$fot(X_23)),bind(X_9,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_102,plain,
inverse(A) = divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A),
inference(subst,[],[inverse:[bind(B,$fot(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_103,plain,
inverse(inverse(divide(X_3,X_3))) = divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),
inference(subst,[],[refute_0_42:[bind(A,$fot(inverse(divide(X_3,X_3)))),bind(X_1,$fot(X_3))]]) ).
cnf(refute_0_104,plain,
( inverse(inverse(divide(X_3,X_3))) != divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))
| divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(divide(X_3,X_3))))),bind(Y,$fot(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))))]]) ).
cnf(refute_0_105,plain,
divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) = inverse(inverse(divide(X_3,X_3))),
inference(resolve,[$cnf( $equal(inverse(inverse(divide(X_3,X_3))),divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3)))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))) != inverse(inverse(divide(X_3,X_3)))
| inverse(A) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)
| inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)) ),[1,0],$fot(inverse(inverse(divide(X_3,X_3))))]]) ).
cnf(refute_0_107,plain,
( inverse(A) != divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)
| inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A) ),
inference(resolve,[$cnf( $equal(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),inverse(inverse(divide(X_3,X_3)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
inverse(A) = divide(inverse(inverse(divide(X_3,X_3))),A),
inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(divide(X_3,X_3)),inverse(divide(X_3,X_3))),A)) )],[refute_0_102,refute_0_107]) ).
cnf(refute_0_109,plain,
inverse(X_23) = divide(inverse(inverse(divide(X_3,X_3))),X_23),
inference(subst,[],[refute_0_108:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_110,plain,
( inverse(X_23) != divide(inverse(inverse(divide(X_3,X_3))),X_23)
| divide(inverse(inverse(divide(X_3,X_3))),X_23) = inverse(X_23) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_23))),bind(Y,$fot(divide(inverse(inverse(divide(X_3,X_3))),X_23)))]]) ).
cnf(refute_0_111,plain,
divide(inverse(inverse(divide(X_3,X_3))),X_23) = inverse(X_23),
inference(resolve,[$cnf( $equal(inverse(X_23),divide(inverse(inverse(divide(X_3,X_3))),X_23)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( multiply(divide(inverse(inverse(divide(X_3,X_3))),X_23),X_23) != divide(X_3,X_3)
| divide(inverse(inverse(divide(X_3,X_3))),X_23) != inverse(X_23)
| multiply(inverse(X_23),X_23) = divide(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_23),X_23),divide(X_3,X_3)) ),[0,0],$fot(inverse(X_23))]]) ).
cnf(refute_0_113,plain,
( multiply(divide(inverse(inverse(divide(X_3,X_3))),X_23),X_23) != divide(X_3,X_3)
| multiply(inverse(X_23),X_23) = divide(X_3,X_3) ),
inference(resolve,[$cnf( $equal(divide(inverse(inverse(divide(X_3,X_3))),X_23),inverse(X_23)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(inverse(X_23),X_23) = divide(X_3,X_3),
inference(resolve,[$cnf( $equal(multiply(divide(inverse(inverse(divide(X_3,X_3))),X_23),X_23),divide(X_3,X_3)) )],[refute_0_101,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(inverse(a1),a1) = divide(X_26,X_26),
inference(subst,[],[refute_0_114:[bind(X_23,$fot(a1)),bind(X_3,$fot(X_26))]]) ).
cnf(refute_0_116,plain,
( multiply(inverse(a1),a1) != divide(X_26,X_26)
| divide(X_26,X_26) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) ),[0],$fot(divide(X_26,X_26))]]) ).
cnf(refute_0_117,plain,
( divide(X_26,X_26) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),divide(X_26,X_26)) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
divide(X_26,X_26) != multiply(inverse(b1),b1),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_117,prove_these_axioms_1]) ).
cnf(refute_0_119,plain,
( multiply(inverse(X_23),X_23) != divide(X_3,X_3)
| divide(X_3,X_3) = multiply(inverse(X_23),X_23) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_23),X_23))),bind(Y,$fot(divide(X_3,X_3)))]]) ).
cnf(refute_0_120,plain,
divide(X_3,X_3) = multiply(inverse(X_23),X_23),
inference(resolve,[$cnf( $equal(multiply(inverse(X_23),X_23),divide(X_3,X_3)) )],[refute_0_114,refute_0_119]) ).
cnf(refute_0_121,plain,
divide(X_26,X_26) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_120:[bind(X_23,$fot(b1)),bind(X_3,$fot(X_26))]]) ).
cnf(refute_0_122,plain,
$false,
inference(resolve,[$cnf( $equal(divide(X_26,X_26),multiply(inverse(b1),b1)) )],[refute_0_121,refute_0_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 22:32:39 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.22/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.40
% 0.22/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.22/0.44
%------------------------------------------------------------------------------