TSTP Solution File: GRP521-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP521-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:42:06 EDT 2022

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   70 (  38 unt;   0 nHn;  34 RR)
%            Number of literals    :  116 ( 115 equ;  48 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   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   :  154 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    divide(A,divide(B,divide(C,divide(A,B)))) = C ).

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,
    divide(A,divide(B,divide(multiply(inverse(X_14),X_14),divide(A,B)))) = multiply(inverse(X_14),X_14),
    inference(subst,[],[single_axiom:[bind(C,$fot(multiply(inverse(X_14),X_14)))]]) ).

cnf(refute_0_1,plain,
    inverse(A) = divide(divide(inverse(X_10),inverse(X_10)),A),
    inference(subst,[],[inverse:[bind(B,$fot(inverse(X_10)))]]) ).

cnf(refute_0_2,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_3,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_4,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( inverse(A) != divide(divide(B,B),A)
    | divide(divide(B,B),A) = inverse(A) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(A))),bind(Y,$fot(divide(divide(B,B),A)))]]) ).

cnf(refute_0_6,plain,
    divide(divide(B,B),A) = inverse(A),
    inference(resolve,[$cnf( $equal(inverse(A),divide(divide(B,B),A)) )],[inverse,refute_0_5]) ).

cnf(refute_0_7,plain,
    divide(divide(C,C),B) = inverse(B),
    inference(subst,[],[refute_0_6:[bind(A,$fot(B)),bind(B,$fot(C))]]) ).

cnf(refute_0_8,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_9,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_10,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_8,refute_0_9]) ).

cnf(refute_0_11,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_7,refute_0_10]) ).

cnf(refute_0_12,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_13,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_11,refute_0_12]) ).

cnf(refute_0_14,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_13]) ).

cnf(refute_0_15,plain,
    multiply(inverse(X_10),X_10) = divide(inverse(X_10),inverse(X_10)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(inverse(X_10))),bind(B,$fot(X_10))]]) ).

cnf(refute_0_16,plain,
    ( multiply(inverse(X_10),X_10) != divide(inverse(X_10),inverse(X_10))
    | divide(inverse(X_10),inverse(X_10)) = multiply(inverse(X_10),X_10) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(inverse(X_10),X_10))),bind(Y,$fot(divide(inverse(X_10),inverse(X_10))))]]) ).

cnf(refute_0_17,plain,
    divide(inverse(X_10),inverse(X_10)) = multiply(inverse(X_10),X_10),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_10),X_10),divide(inverse(X_10),inverse(X_10))) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( divide(inverse(X_10),inverse(X_10)) != multiply(inverse(X_10),X_10)
    | inverse(A) != divide(divide(inverse(X_10),inverse(X_10)),A)
    | inverse(A) = divide(multiply(inverse(X_10),X_10),A) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(A),divide(divide(inverse(X_10),inverse(X_10)),A)) ),[1,0],$fot(multiply(inverse(X_10),X_10))]]) ).

cnf(refute_0_19,plain,
    ( inverse(A) != divide(divide(inverse(X_10),inverse(X_10)),A)
    | inverse(A) = divide(multiply(inverse(X_10),X_10),A) ),
    inference(resolve,[$cnf( $equal(divide(inverse(X_10),inverse(X_10)),multiply(inverse(X_10),X_10)) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    inverse(A) = divide(multiply(inverse(X_10),X_10),A),
    inference(resolve,[$cnf( $equal(inverse(A),divide(divide(inverse(X_10),inverse(X_10)),A)) )],[refute_0_1,refute_0_19]) ).

cnf(refute_0_21,plain,
    inverse(divide(A,B)) = divide(multiply(inverse(X_14),X_14),divide(A,B)),
    inference(subst,[],[refute_0_20:[bind(A,$fot(divide(A,B))),bind(X_10,$fot(X_14))]]) ).

cnf(refute_0_22,plain,
    ( inverse(divide(A,B)) != divide(multiply(inverse(X_14),X_14),divide(A,B))
    | divide(multiply(inverse(X_14),X_14),divide(A,B)) = inverse(divide(A,B)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(A,B)))),bind(Y,$fot(divide(multiply(inverse(X_14),X_14),divide(A,B))))]]) ).

cnf(refute_0_23,plain,
    divide(multiply(inverse(X_14),X_14),divide(A,B)) = inverse(divide(A,B)),
    inference(resolve,[$cnf( $equal(inverse(divide(A,B)),divide(multiply(inverse(X_14),X_14),divide(A,B))) )],[refute_0_21,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( divide(A,divide(B,divide(multiply(inverse(X_14),X_14),divide(A,B)))) != multiply(inverse(X_14),X_14)
    | divide(multiply(inverse(X_14),X_14),divide(A,B)) != inverse(divide(A,B))
    | divide(A,divide(B,inverse(divide(A,B)))) = multiply(inverse(X_14),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,divide(multiply(inverse(X_14),X_14),divide(A,B)))),multiply(inverse(X_14),X_14)) ),[0,1,1],$fot(inverse(divide(A,B)))]]) ).

cnf(refute_0_25,plain,
    ( divide(A,divide(B,divide(multiply(inverse(X_14),X_14),divide(A,B)))) != multiply(inverse(X_14),X_14)
    | divide(A,divide(B,inverse(divide(A,B)))) = multiply(inverse(X_14),X_14) ),
    inference(resolve,[$cnf( $equal(divide(multiply(inverse(X_14),X_14),divide(A,B)),inverse(divide(A,B))) )],[refute_0_23,refute_0_24]) ).

cnf(refute_0_26,plain,
    divide(A,divide(B,inverse(divide(A,B)))) = multiply(inverse(X_14),X_14),
    inference(resolve,[$cnf( $equal(divide(A,divide(B,divide(multiply(inverse(X_14),X_14),divide(A,B)))),multiply(inverse(X_14),X_14)) )],[refute_0_0,refute_0_25]) ).

cnf(refute_0_27,plain,
    divide(X_6,divide(X_7,divide(divide(B,B),divide(X_6,X_7)))) = divide(B,B),
    inference(subst,[],[single_axiom:[bind(A,$fot(X_6)),bind(B,$fot(X_7)),bind(C,$fot(divide(B,B)))]]) ).

cnf(refute_0_28,plain,
    inverse(divide(X_6,X_7)) = divide(divide(B,B),divide(X_6,X_7)),
    inference(subst,[],[inverse:[bind(A,$fot(divide(X_6,X_7)))]]) ).

cnf(refute_0_29,plain,
    ( inverse(divide(X_6,X_7)) != divide(divide(B,B),divide(X_6,X_7))
    | divide(divide(B,B),divide(X_6,X_7)) = inverse(divide(X_6,X_7)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(divide(X_6,X_7)))),bind(Y,$fot(divide(divide(B,B),divide(X_6,X_7))))]]) ).

cnf(refute_0_30,plain,
    divide(divide(B,B),divide(X_6,X_7)) = inverse(divide(X_6,X_7)),
    inference(resolve,[$cnf( $equal(inverse(divide(X_6,X_7)),divide(divide(B,B),divide(X_6,X_7))) )],[refute_0_28,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( divide(X_6,divide(X_7,divide(divide(B,B),divide(X_6,X_7)))) != divide(B,B)
    | divide(divide(B,B),divide(X_6,X_7)) != inverse(divide(X_6,X_7))
    | divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(B,B) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_6,divide(X_7,divide(divide(B,B),divide(X_6,X_7)))),divide(B,B)) ),[0,1,1],$fot(inverse(divide(X_6,X_7)))]]) ).

cnf(refute_0_32,plain,
    ( divide(X_6,divide(X_7,divide(divide(B,B),divide(X_6,X_7)))) != divide(B,B)
    | divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(B,B) ),
    inference(resolve,[$cnf( $equal(divide(divide(B,B),divide(X_6,X_7)),inverse(divide(X_6,X_7))) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(B,B),
    inference(resolve,[$cnf( $equal(divide(X_6,divide(X_7,divide(divide(B,B),divide(X_6,X_7)))),divide(B,B)) )],[refute_0_27,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( multiply(A,B) != divide(A,inverse(B))
    | divide(A,inverse(B)) = multiply(A,B) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(divide(A,inverse(B))))]]) ).

cnf(refute_0_35,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(resolve,[$cnf( $equal(multiply(A,B),divide(A,inverse(B))) )],[refute_0_14,refute_0_34]) ).

cnf(refute_0_36,plain,
    divide(X_7,inverse(divide(X_6,X_7))) = multiply(X_7,divide(X_6,X_7)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(X_7)),bind(B,$fot(divide(X_6,X_7)))]]) ).

cnf(refute_0_37,plain,
    divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))),
    introduced(tautology,[refl,[$fot(divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))))]]) ).

cnf(refute_0_38,plain,
    ( divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) != divide(X_6,divide(X_7,inverse(divide(X_6,X_7))))
    | divide(X_7,inverse(divide(X_6,X_7))) != multiply(X_7,divide(X_6,X_7))
    | divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(X_6,multiply(X_7,divide(X_6,X_7))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))),divide(X_6,divide(X_7,inverse(divide(X_6,X_7))))) ),[1,1],$fot(multiply(X_7,divide(X_6,X_7)))]]) ).

cnf(refute_0_39,plain,
    ( divide(X_7,inverse(divide(X_6,X_7))) != multiply(X_7,divide(X_6,X_7))
    | divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(X_6,multiply(X_7,divide(X_6,X_7))) ),
    inference(resolve,[$cnf( $equal(divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))),divide(X_6,divide(X_7,inverse(divide(X_6,X_7))))) )],[refute_0_37,refute_0_38]) ).

cnf(refute_0_40,plain,
    divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) = divide(X_6,multiply(X_7,divide(X_6,X_7))),
    inference(resolve,[$cnf( $equal(divide(X_7,inverse(divide(X_6,X_7))),multiply(X_7,divide(X_6,X_7))) )],[refute_0_36,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) != divide(B,B)
    | divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) != divide(X_6,multiply(X_7,divide(X_6,X_7)))
    | divide(X_6,multiply(X_7,divide(X_6,X_7))) = divide(B,B) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))),divide(B,B)) ),[0],$fot(divide(X_6,multiply(X_7,divide(X_6,X_7))))]]) ).

cnf(refute_0_42,plain,
    ( divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))) != divide(B,B)
    | divide(X_6,multiply(X_7,divide(X_6,X_7))) = divide(B,B) ),
    inference(resolve,[$cnf( $equal(divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))),divide(X_6,multiply(X_7,divide(X_6,X_7)))) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    divide(X_6,multiply(X_7,divide(X_6,X_7))) = divide(B,B),
    inference(resolve,[$cnf( $equal(divide(X_6,divide(X_7,inverse(divide(X_6,X_7)))),divide(B,B)) )],[refute_0_33,refute_0_42]) ).

cnf(refute_0_44,plain,
    divide(A,multiply(B,divide(A,B))) = divide(B,B),
    inference(subst,[],[refute_0_43:[bind(X_6,$fot(A)),bind(X_7,$fot(B))]]) ).

cnf(refute_0_45,plain,
    divide(B,inverse(divide(A,B))) = multiply(B,divide(A,B)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(B)),bind(B,$fot(divide(A,B)))]]) ).

cnf(refute_0_46,plain,
    divide(A,divide(B,inverse(divide(A,B)))) = divide(A,divide(B,inverse(divide(A,B)))),
    introduced(tautology,[refl,[$fot(divide(A,divide(B,inverse(divide(A,B)))))]]) ).

cnf(refute_0_47,plain,
    ( divide(A,divide(B,inverse(divide(A,B)))) != divide(A,divide(B,inverse(divide(A,B))))
    | divide(B,inverse(divide(A,B))) != multiply(B,divide(A,B))
    | divide(A,divide(B,inverse(divide(A,B)))) = divide(A,multiply(B,divide(A,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,divide(B,inverse(divide(A,B))))) ),[1,1],$fot(multiply(B,divide(A,B)))]]) ).

cnf(refute_0_48,plain,
    ( divide(B,inverse(divide(A,B))) != multiply(B,divide(A,B))
    | divide(A,divide(B,inverse(divide(A,B)))) = divide(A,multiply(B,divide(A,B))) ),
    inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,divide(B,inverse(divide(A,B))))) )],[refute_0_46,refute_0_47]) ).

cnf(refute_0_49,plain,
    divide(A,divide(B,inverse(divide(A,B)))) = divide(A,multiply(B,divide(A,B))),
    inference(resolve,[$cnf( $equal(divide(B,inverse(divide(A,B))),multiply(B,divide(A,B))) )],[refute_0_45,refute_0_48]) ).

cnf(refute_0_50,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_51,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( divide(A,multiply(B,divide(A,B))) != divide(B,B)
    | divide(A,divide(B,inverse(divide(A,B)))) != divide(A,multiply(B,divide(A,B)))
    | divide(A,divide(B,inverse(divide(A,B)))) = divide(B,B) ),
    inference(subst,[],[refute_0_51:[bind(X,$fot(divide(A,divide(B,inverse(divide(A,B)))))),bind(Y,$fot(divide(A,multiply(B,divide(A,B))))),bind(Z,$fot(divide(B,B)))]]) ).

cnf(refute_0_53,plain,
    ( divide(A,multiply(B,divide(A,B))) != divide(B,B)
    | divide(A,divide(B,inverse(divide(A,B)))) = divide(B,B) ),
    inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(A,multiply(B,divide(A,B)))) )],[refute_0_49,refute_0_52]) ).

cnf(refute_0_54,plain,
    divide(A,divide(B,inverse(divide(A,B)))) = divide(B,B),
    inference(resolve,[$cnf( $equal(divide(A,multiply(B,divide(A,B))),divide(B,B)) )],[refute_0_44,refute_0_53]) ).

cnf(refute_0_55,plain,
    ( divide(A,divide(B,inverse(divide(A,B)))) != multiply(inverse(X_14),X_14)
    | divide(A,divide(B,inverse(divide(A,B)))) != divide(B,B)
    | divide(B,B) = multiply(inverse(X_14),X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),multiply(inverse(X_14),X_14)) ),[0],$fot(divide(B,B))]]) ).

cnf(refute_0_56,plain,
    ( divide(A,divide(B,inverse(divide(A,B)))) != multiply(inverse(X_14),X_14)
    | divide(B,B) = multiply(inverse(X_14),X_14) ),
    inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),divide(B,B)) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    divide(B,B) = multiply(inverse(X_14),X_14),
    inference(resolve,[$cnf( $equal(divide(A,divide(B,inverse(divide(A,B)))),multiply(inverse(X_14),X_14)) )],[refute_0_26,refute_0_56]) ).

cnf(refute_0_58,plain,
    divide(X_19,X_19) = multiply(inverse(a1),a1),
    inference(subst,[],[refute_0_57:[bind(B,$fot(X_19)),bind(X_14,$fot(a1))]]) ).

cnf(refute_0_59,plain,
    ( divide(X_19,X_19) != multiply(inverse(a1),a1)
    | multiply(inverse(a1),a1) = divide(X_19,X_19) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(divide(X_19,X_19))),bind(Y,$fot(multiply(inverse(a1),a1)))]]) ).

cnf(refute_0_60,plain,
    multiply(inverse(a1),a1) = divide(X_19,X_19),
    inference(resolve,[$cnf( $equal(divide(X_19,X_19),multiply(inverse(a1),a1)) )],[refute_0_58,refute_0_59]) ).

cnf(refute_0_61,plain,
    ( multiply(inverse(a1),a1) != divide(X_19,X_19)
    | divide(X_19,X_19) != 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_19,X_19))]]) ).

cnf(refute_0_62,plain,
    ( divide(X_19,X_19) != multiply(inverse(b1),b1)
    | multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),divide(X_19,X_19)) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    divide(X_19,X_19) != multiply(inverse(b1),b1),
    inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_62,prove_these_axioms_1]) ).

cnf(refute_0_64,plain,
    divide(X_19,X_19) = multiply(inverse(b1),b1),
    inference(subst,[],[refute_0_57:[bind(B,$fot(X_19)),bind(X_14,$fot(b1))]]) ).

cnf(refute_0_65,plain,
    $false,
    inference(resolve,[$cnf( $equal(divide(X_19,X_19),multiply(inverse(b1),b1)) )],[refute_0_64,refute_0_63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP521-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 08:39:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.37  
% 0.19/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.38  
%------------------------------------------------------------------------------